diff --git "a/all/mathqa_physics.json" "b/all/mathqa_physics.json" new file mode 100644--- /dev/null +++ "b/all/mathqa_physics.json" @@ -0,0 +1,100126 @@ +{ + "Source": "https://arxiv.org/pdf/2108.07732.pdf", + "Categories": [ + { + "Math complexity": 2, + "Language complexity": 6, + "Domain knowledge complexity": 6 + } + ], + "Instances": [ + { + "Input": "6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days m do they need to finish the same job ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 3.0\nn3 = 4.0\nt0 = n0 + n3\nt1 = n0 * n1\nt2 = n0 * n2\nt3 = t1 - t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a garrison of 2000 men has provisions for 54 days . at the end of 15 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ?", + "Output Program": [ + "n0 = 2000.0\nn1 = 54.0\nn2 = 15.0\nn3 = 20.0\nt0 = n0 * n1\nt1 = n0 * n2\nt2 = t0 - t1\nt3 = t2 / n3\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "1900" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 900 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?", + "Output Program": [ + "n0 = 900.0\nn1 = 63.0\nn2 = 3.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "53.99568034557235" + ], + "split": "train" + }, + { + "Input": "a car gets 27 miles to the gallon . if it is modified to use a solar panel , it will use only 75 percent as much fuel as it does now . if the fuel tank holds 14 gallons , how many more miles will the car be able to travel , per full tank of fuel , after it has been modified ?", + "Output Program": [ + "n0 = 27.0\nn1 = 75.0\nn2 = 14.0\nt0 = n0 / n1\nt1 = n0 * n2\nt2 = t0 * 100.0\nt3 = n2 * t2\nanswer = t3 - t1\nprint(answer)" + ], + "Output Answer": [ + "126" + ], + "split": "train" + }, + { + "Input": "a fort had provision of food for 150 men for 45 days . after 10 days , 25 men left the fort . the number of days for which the remaining food will last , is :", + "Output Program": [ + "n0 = 150.0\nn1 = 45.0\nn2 = 10.0\nn3 = 25.0\nt0 = n2 + n3\nt1 = n0 - n3\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "a car travels at a speed of 65 miles per hour . how far will it travel in 6 hours ?", + "Output Program": [ + "n0 = 65.0\nn1 = 6.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "390" + ], + "split": "train" + }, + { + "Input": "working alone at its constant rate , machine a produces x boxes in 10 minutes and working alone at its constant rate , machine b produces 2 x boxes in 5 minutes . how many minutes does it take machines a and b , working simultaneously at their respective constant rates , to produce 10 x boxes ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 5.0\nn3 = 10.0\nt0 = n0 * n3\nt1 = n0 * n1\nt2 = n0 / n0\nt3 = t1 / n2\nt4 = t2 + t3\nanswer = t0 / t4\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "an electric pump can fill a tank in 10 hours . because of a leak in the tank , it took 20 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\n\nanswer = n1 / 1.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 10 hours . due to a leak at the bottom , it takes 15 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "30 men can do a work in 40 days . when should 12 men leave the work so that the entire work is completed in 40 days after they leave the work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 12.0\nn3 = 40.0\nt0 = n0 * n1\nt1 = n1 * n2\nt2 = t0 - t1\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a train 110 m long is running with a speed of 30 km / h . in how many seconds will the train pass a man who is running at 3 km / h in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 30.0\nn2 = 3.0\nt0 = n1 + n2\nt1 = t0 / 3.6\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "two trains 110 meters and 200 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 110.0\nn1 = 200.0\nn2 = 80.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.695936049253991" + ], + "split": "train" + }, + { + "Input": "in filling a room with gas 100 m * 10 m * 10 m the volumes of gas will be ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 10.0\n\nanswer = n0 * n1 * n1\nprint(answer)" + ], + "Output Answer": [ + "10000" + ], + "split": "train" + }, + { + "Input": "what will be the lcm of 8 , 24 , 36 and 54", + "Output Program": [ + "n0 = 8.0\nn1 = 24.0\nn2 = 36.0\nn3 = 54.0\nt0 = 2.0 * 2.0\nt1 = t0 * 2.0\nt2 = t1 * 3.0\nt3 = t2 * 3.0\nanswer = t3 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "216" + ], + "split": "train" + }, + { + "Input": "two trains of equal lengths take 10 sec and 14 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?", + "Output Program": [ + "n0 = 10.0\nn1 = 14.0\nn2 = 120.0\nt0 = n2 * 2.0\nt1 = n2 / n1\nt2 = n2 / n0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "11.666666666666668" + ], + "split": "train" + }, + { + "Input": "at sandi \u2019 s pet shop , 25 cups of bird seed are used every 5 days to feed 15 parakeets . how many cups of bird seed would be required to feed 14 parakeets for 7 days ?", + "Output Program": [ + "n0 = 25.0\nn1 = 5.0\nn2 = 15.0\nn3 = 14.0\nn4 = 7.0\nt0 = n0 * n3\nt1 = n1 * n2\nt2 = n4 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "32.666666666666664" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 120 km in the first hour and 70 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 120.0\nn1 = 70.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "95" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 6 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999998" + ], + "split": "train" + }, + { + "Input": "a runs twice as fast as b and gives b a start of 42 m . how long should the racecourse be so that a and b might reach in the same time ?", + "Output Program": [ + "n0 = 42.0\n\nanswer = n0 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "train" + }, + { + "Input": "a , b , c can complete a piece of work in 18 , 6,12 days . working together , they complete the same work in how many days ?", + "Output Program": [ + "n0 = 18.0\nn1 = 6.0\nn2 = 12.0\nt0 = 2.0 + 4.0\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t0 * 2.0\nt4 = t1 + t2\nt5 = 1.0 / t3\nt6 = t4 + t5\nanswer = 1.0 / t6\nprint(answer)" + ], + "Output Answer": [ + "3.272727272727273" + ], + "split": "train" + }, + { + "Input": "if the horse can run 10 miles / hour , how many days would it take for a horse to run from new york city to washington . d . c . ? ( 240 miles from nyc to d . c . )", + "Output Program": [ + "n0 = 10.0\nn1 = 240.0\nt0 = n1 / n0\nanswer = t0 / t0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "express a speed of 56 kmph in meters per second ?", + "Output Program": [ + "n0 = 56.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "15.556799999999999" + ], + "split": "train" + }, + { + "Input": "a group of men decided to do a work in 12 days , but 6 of them became absent . if the rest of the group did the work in 14 days , find the original number of men ?", + "Output Program": [ + "n0 = 12.0\nn1 = 6.0\nn2 = 14.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing . if the poles of the fence are kept 5 metres apart , how many poles will be needed ?", + "Output Program": [ + "n0 = 90.0\nn1 = 50.0\nn2 = 5.0\nt0 = 2 * (n0 + n1) # perimetere of rectangle\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "56" + ], + "split": "train" + }, + { + "Input": "the hiker walking at a constant rate of 6 miles per hour is passed by a motor - cyclist traveling in the same direction along the same path at 30 miles per hour . the motor - cyclist stops to wait for the hiker 12 minutes after passing her , while the hiker continues to walk at her constant rate , how many minutes must the motor - cyclist wait until the hiker catches up ?", + "Output Program": [ + "n0 = 6.0\nn1 = 30.0\nn2 = 12.0\n\nanswer = n1 * 1.6\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 90 metres ?", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 90.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190784" + ], + "split": "train" + }, + { + "Input": "a train consists of 12 boggies , each boggy 15 metres long . the train crosses a telegraph post in 9 seconds . due to some problem , one boggies were detached . the train now crosses a telegraph post in", + "Output Program": [ + "n0 = 12.0\nn1 = 15.0\nn2 = 9.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = t0 - n1\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "8.25" + ], + "split": "train" + }, + { + "Input": "a train 140 m long running at 84 kmph crosses a platform in 16 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 140.0\nn1 = 84.0\nn2 = 16.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "233.3632" + ], + "split": "train" + }, + { + "Input": "by travelling at 70 kmph , a person reaches his destination on time . he covered two - third the total distance in one - third of the total time . what speed should he maintain for the remaining distance to reach his destination on time ?", + "Output Program": [ + "n0 = 70.0\nt0 = n0 * 3.0\nt1 = 3.0 - 1.0\nt2 = t0 * 2.0\nt3 = t2 / 3.0\nt4 = t0 - t3\nanswer = t4 / t1\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "the minute hand of a clock overtakes the hour hand at intervals of 65 minutes of correct time . how much does the clock gain or lose in 12 hours ?", + "Output Program": [ + "n0 = 65.0\nn1 = 12.0\nt0 = 2.0 * 3.0\nt1 = 3.0 * 4.0\nt2 = t0 * 60.0\nt3 = t2 / t1\nt4 = t2 - t3\nt5 = t4 / 60.0\nt6 = t2 / t5\nt7 = t6 - n0\nanswer = t7 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "27.272727272727195" + ], + "split": "train" + }, + { + "Input": "a tank can supply water to a village for 20 days . if a leak at the bottom of the tank drains out 10 liters per day , the supply lasts for 15 days only . for how many days will the supply last if the leak drains out 20 liters per day ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 15.0\nn3 = 20.0\nt0 = n1 * n2\nt1 = n0 - n2\nt2 = t0 / t1\nt3 = n3 + t2\nt4 = n0 * t2\nanswer = t4 / t3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "31 of the scientists that attended a certain workshop were wolf prize laureates , and 14 of these 31 were also nobel prize laureates . of the scientists that attended that workshop and had not received the wolf prize , the number of scientists that had received the nobel prize was 3 greater than the number of scientists that had not received the nobel prize . if 50 of the scientists attended that workshop , how many of them were nobel prize laureates ?", + "Output Program": [ + "n0 = 31.0\nn1 = 14.0\nn2 = 31.0\nn3 = 3.0\nn4 = 50.0\nt0 = n4 - n0\nt1 = t0 - n3\nt2 = t1 / 2.0\nt3 = n3 + t2\nanswer = n1 + t3\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "15 men can complete a piece of work in 25 days . in how many days can 20 men complete that piece of work ?", + "Output Program": [ + "n0 = 15.0\nn1 = 25.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "18.75" + ], + "split": "train" + }, + { + "Input": "a 300 metre long train crosses a platform in 39 seconds while it crosses a post in 18 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 18.0\nt0 = n2 / 3.0\nt1 = n0 * 3.0\nt2 = n0 / t0\nt3 = n1 * t2\nt4 = t3 - t1\nanswer = t4 / 3.0\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "39 persons can repair a road in 24 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 39.0\nn1 = 24.0\nn2 = 5.0\nn3 = 30.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "two boats are heading towards each other at constant speeds of 4 miles / hr and 20 miles / hr respectively . they begin at a distance 20 miles from each other . how far are they ( in miles ) one minute before they collide ?", + "Output Program": [ + "n0 = 4.0\nn1 = 20.0\nn2 = 20.0\nt0 = n0 + n1\nanswer = t0 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "0.4" + ], + "split": "train" + }, + { + "Input": "a and b undertake to do a piece of work for rs . 600 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . ! find the share of each .", + "Output Program": [ + "n0 = 600.0\nn1 = 6.0\nn2 = 8.0\nn3 = 3.0\nt0 = 3.0 + 4.0\nt1 = t0 + 1.0\nt2 = 1.0 / t1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "car a runs at the speed of 50 km / hr & reaches its destination in 6 hr . car b runs at the speed of 100 km / h & reaches its destination in 1 h . what is the respective ratio of distances covered by car a & car b ?", + "Output Program": [ + "n0 = 50.0\nn1 = 6.0\nn2 = 100.0\nn3 = 1.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "how many pieces of 0.85 meteres can be cut from a rod 42.5 meteres long", + "Output Program": [ + "n0 = 0.85\nn1 = 42.5\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "in what time will a train 400 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 400.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "9.99920006399488" + ], + "split": "train" + }, + { + "Input": "if jack walked 4 miles in 1 hour and 15 minutes , what was his rate of walking in miles per hour ?", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 15.0\nt0 = n2 + 60.0\nt1 = n0 * 60.0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.2" + ], + "split": "train" + }, + { + "Input": "yesterday it took robert 6 hours to drive from city a to city b . today it took robert 4.5 hours to drive back from city \u0432 to city a along the same route . if he had saved 30 minutes in both trips , the speed for the round trip would be 90 miles per hour . what is the distance between city a and city b ?", + "Output Program": [ + "n0 = 6.0\nn1 = 4.5\nn2 = 30.0\nn3 = 90.0\nt0 = n0 + n1\nt1 = t0 - 1.0\nt2 = n3 * t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "427.5" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 110 meters long take to cross a railway platform 165 meters long if the speed of the train is 132 kmph ?", + "Output Program": [ + "n0 = 110.0\nn1 = 165.0\nn2 = 132.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "7.499400047996161" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 20 meters or 10 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "490" + ], + "split": "train" + }, + { + "Input": "a car consumes 210 liters of petrol weekly . for how many days will 1470 liters of petrol be sufficient ?", + "Output Program": [ + "n0 = 210.0\nn1 = 1470.0\nt0 = 3.0 + 4.0\nt1 = n1 / n0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "49" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 80 km in the first hour and 40 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 80.0\nn1 = 40.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "two trains 200 m and 250 m long run at the speed of 72 kmph and 18 kmph in opposite directions in parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 200.0\nn1 = 250.0\nn2 = 72.0\nn3 = 18.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190784" + ], + "split": "train" + }, + { + "Input": "two trains 140 m and 210 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 140.0\nn1 = 210.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "12.59899208063355" + ], + "split": "train" + }, + { + "Input": "a man rows his boat 84 km downstream and 60 km upstream , taking 4 hours each time . find the speed of the stream ?", + "Output Program": [ + "n0 = 84.0\nn1 = 60.0\nn2 = 4.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a train is moving at a speed of 132 km / hour . if the length of the train is 110 meters , how long will it take to cross a railway platform 165 meters long .", + "Output Program": [ + "n0 = 132.0\nn1 = 110.0\nn2 = 165.0\nt0 = n1 + n2\nt1 = n0 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "7.499400047996161" + ], + "split": "train" + }, + { + "Input": "a water tank is one - fifth full . pipe a can fill a tank in 10 minutes and pipe b can empty it in 6 minutes . if both the pipes are open , how many minutes will it take to empty or fill the tank completely ?", + "Output Program": [ + "n0 = 10.0\nn1 = 6.0\nt0 = 1.0 + 4.0\nt1 = 1.0 / n1\nt2 = 1.0 / n0\nt3 = 1.0 / t0\nt4 = t1 - t2\nt5 = 1.0 / t4\nanswer = t3 * t5\nprint(answer)" + ], + "Output Answer": [ + "3.000000000000001" + ], + "split": "train" + }, + { + "Input": "a woman complete a journey in 10 hours . she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km .", + "Output Program": [ + "n0 = 10.0\nn1 = 21.0\nn2 = 24.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = t1 / t0\nt3 = n1 * t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "224" + ], + "split": "train" + }, + { + "Input": "the speed of a train is 80 kmph . what is the distance covered by it in 6 minutes ?", + "Output Program": [ + "n0 = 80.0\nn1 = 6.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "ram covers a part of the journey at 20 kmph and the balance at 70 kmph taking total of 8 hours to cover the distance of 400 km . how many hours has been driving at 20 kmph ?", + "Output Program": [ + "n0 = 20.0\nn1 = 70.0\nn2 = 8.0\nn3 = 400.0\nn4 = 20.0\nt0 = n1 * n2\nt1 = n1 - n0\nt2 = t0 - n3\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "3.2" + ], + "split": "train" + }, + { + "Input": "in one hour , a boat goes 13 km along the stream and 9 km against the stream . the speed of the boat in still water ( in km / hr ) is :", + "Output Program": [ + "n0 = 13.0\nn1 = 9.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "audrey 4 hours to complete a certain job . ferris can do the same job in 3 hours . audrey and ferris decided to collaborate on the job , working at their respective rates . while audrey worked continuously , ferris took 6 breaks of equal length . if the two completed the job together in 2 hours , how many minutes long was each of ferris \u2019 breaks ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nn2 = 6.0\nn3 = 2.0\nt0 = n1 / n3\nt1 = n2 * 10.0\nt2 = n3 * t1\nt3 = t0 * t1\nt4 = t2 - t3\nanswer = t4 / n2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "15 : 5 seconds : : ? : 10 minutes", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\nn2 = 10.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a train 75 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train . find the speed of the train ?", + "Output Program": [ + "n0 = 75.0\nn1 = 6.0\nn2 = 5.0\nt0 = n0 / n1\nt1 = t0 / 0.2778\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "39.99640028797696" + ], + "split": "train" + }, + { + "Input": "the consumption of diesel per hour of a bus varies directly as square of its speed . when the bus is travelling at 60 kmph its consumption is 1 litre per hour . if each litre costs $ 60 and other expenses per hous is $ 60 , then what would be the minimum expenditure required to cover a distance of 600 km ?", + "Output Program": [ + "n0 = 60.0\nn1 = 1.0\nn2 = 60.0\nn3 = 60.0\nn4 = 600.0\nt0 = n4 / n0\nt1 = n2 * t0\nt2 = n3 * t0\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "1200" + ], + "split": "train" + }, + { + "Input": "bob wants to run a mile in the same time as his sister . if bob \u2019 s time for a mile is currently 10 minutes 40 seconds and his sister \u2019 s time is currently 10 minutes 8 seconds , by what percent does bob need to improve his time in order run a mile in the same time as his sister ?", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nn2 = 10.0\nn3 = 8.0\nt0 = n0 * n0\nt1 = n2 * 60.0\nt2 = n0 * 60.0\nt3 = n3 + t1\nt4 = n1 + t2\nt5 = t3 / t4\nt6 = 1.0 - t5\nanswer = t0 * t6\nprint(answer)" + ], + "Output Answer": [ + "5.000000000000004" + ], + "split": "train" + }, + { + "Input": "bella is taking a trip in her car from new york ( point a ) chicago , illinois ( point b ) . she is traveling at an average speed of 50 miles per hour , if the total distance from point a to point b is 790 miles , in approximately how long will bella reach her destination ?", + "Output Program": [ + "n0 = 50.0\nn1 = 790.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "15.8" + ], + "split": "train" + }, + { + "Input": "p can do a work in 24 days . q can do the samework in 9 days & r can do the same work in 12 days . q & r start the work and leave after 3 days . p finishes the remaining work in how many days .", + "Output Program": [ + "n0 = 24.0\nn1 = 9.0\nn2 = 12.0\nn3 = 3.0\nt0 = 1.0 / n2\nt1 = 1.0 / n1\nt2 = 1.0 / n0\nt3 = t0 + t1\nt4 = n3 * t3\nt5 = 1.0 - t4\nanswer = t5 / t2\nprint(answer)" + ], + "Output Answer": [ + "10.000000000000002" + ], + "split": "train" + }, + { + "Input": "a can do a particular work in 6 days . b can do the same work in 8 days . a and b signed to do it for rs . 3840 . they completed the work in 3 days with the help of c . how much is to be paid to c ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 3840.0\nn3 = 3.0\nt0 = 1.0 / n3\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = t1 + t2\nt4 = t0 - t3\nt5 = n3 * t4\nanswer = n2 * t5\nprint(answer)" + ], + "Output Answer": [ + "480.0000000000002" + ], + "split": "train" + }, + { + "Input": "in how many seconds will a train 150 meters long pass an oak tree , if the speed of the train is 54 km / hr ?", + "Output Program": [ + "n0 = 150.0\nn1 = 54.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "9.99920006399488" + ], + "split": "train" + }, + { + "Input": "the length of minute hand of a clock is 5.4 cm . what is the area covered by this in 10 minutes", + "Output Program": [ + "n0 = 5.4\nn1 = 10.0\nt0 = 3.0 + 4.0\nt1 = n1 * 2.0\nt2 = 1.0 * 60.0\nt3 = 100.0 * 3.6\nt4 = n0 * n0\nt5 = t1 + 2.0\nt6 = t2 / t3\nt7 = t5 / t0\nt8 = t6 * t4\nanswer = t7 * t8\nprint(answer)" + ], + "Output Answer": [ + "15.274285714285716" + ], + "split": "train" + }, + { + "Input": "jonathan can type a 50 page document in 40 minutes , susan can type it in 30 minutes , and jack can type it in 24 minutes . working together , how much time will it take them to type the same document ?", + "Output Program": [ + "n0 = 50.0\nn1 = 40.0\nn2 = 30.0\nn3 = 24.0\nt0 = n0 / n1\nt1 = n0 / n2\nt2 = n0 / n3\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = n0 / t4\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "it takes 35 identical printing presses 15 hours to print 500,000 papers . how many hours would it take 25 of these printing presses to print 500,000 papers ?", + "Output Program": [ + "n0 = 35.0\nn1 = 15.0\nn2 = 500000.0\nn3 = 25.0\nn4 = 500000.0\nt0 = 1000.0 / 2.0\nt1 = t0 * 1000.0\nt2 = t1 / n0\nt3 = t2 / n1\nt4 = n3 * t3\nanswer = t1 / t4\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "two thirds of the roads from a to b are at least 5 miles long , and 3 / 4 of the roads from b to c are at least 5 miles long . if you randomly pick a road from a to b and then randomly pick a road from b to c , what is the probability that at least one of the roads you pick is at least 5 miles long ?", + "Output Program": [ + "n0 = 5.0\nn1 = 3.0\nn2 = 4.0\nn3 = 5.0\nn4 = 5.0\nt0 = 2.0 / n1\nt1 = n1 / n2\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = 1.0 - t4\nprint(answer)" + ], + "Output Answer": [ + "0.9166666666666666" + ], + "split": "train" + }, + { + "Input": "a 270 m long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", + "Output Program": [ + "n0 = 270.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 / 3.6\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "230" + ], + "split": "train" + }, + { + "Input": "maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 40 kilometers , maxwell ' s walking speed is 3 km / h , and brad ' s running speed is 5 km / h . what is the distance traveled by maxwell when they meet in the middle ?", + "Output Program": [ + "n0 = 40.0\nn1 = 3.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a man is walking at a speed of 10 km per hour . after every kilometre , he takes rest for 5 minutes . how much time will be take to cover a distance of 5 kilometres ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nn2 = 5.0\nt0 = n1 / n0\nt1 = n1 * 4.0\nt2 = 60.0 / 1.0\nt3 = t0 * t2\nanswer = t3 + t1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "a man started driving at a constant speed , from the site of a blast , the moment he heard the blast . he heard a second blast after a time of 30 mins and 12 seconds . if the second blast occurred exactly 30 mins after the first , how many meters was he from the site when he heard the second blast ? ( speed of sound = 330 m / s )", + "Output Program": [ + "n0 = 30.0\nn1 = 12.0\nn2 = 30.0\nn3 = 330.0\n\nanswer = n1 * n3\nprint(answer)" + ], + "Output Answer": [ + "3960" + ], + "split": "train" + }, + { + "Input": "a train leaves delhi at 9 a . m . at a speed of 30 kmph . another train leaves at 2 p . m . at a speed of 40 kmph on the same day and in the same direction . how far from delhi , will the two trains meet ?", + "Output Program": [ + "n0 = 9.0\nn1 = 30.0\nn2 = 2.0\nn3 = 40.0\nt0 = 2.0 + 3.0\nt1 = n3 - n1\nt2 = n1 * t0\nt3 = t2 / t1\nanswer = n3 * t3\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "a train 120 m long passes a man , running at 6 kmph in the direction opposite to that of the train , in 6 seconds . the speed of the train is", + "Output Program": [ + "n0 = 120.0\nn1 = 6.0\nn2 = 6.0\nt0 = n1 * 0.2778\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n1\nanswer = t3 / 0.2778\nprint(answer)" + ], + "Output Answer": [ + "65.99424046076315" + ], + "split": "train" + }, + { + "Input": "every day daniel drives 64 miles back from work . on sunday , daniel drove all the way back from work at a constant speed of x miles per hour . on monday , daniel drove the first 32 miles back from work at ( 2 x ) miles per hour , and the rest of the way at ( x / 2 ) miles per hour . the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent ?", + "Output Program": [ + "n0 = 64.0\nn1 = 32.0\nn2 = 2.0\nn3 = 2.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 * n2\nt3 = t0 + t2\nt4 = t3 - n0\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "if 40 men take 15 days to to complete a job , in how many days can 25 men finish that work ?", + "Output Program": [ + "n0 = 40.0\nn1 = 15.0\nn2 = 25.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "it takes printer a 4 more minutes more than printer b to print 40 pages . working together , the two printers can print 50 pages in 6 minutes . how long will it take printer a to print 160 pages ?", + "Output Program": [ + "n0 = 4.0\nn1 = 40.0\nn2 = 50.0\nn3 = 6.0\nn4 = 160.0\nt0 = n0 * 2.0\nt1 = n0 + t0\nt2 = n4 * t1\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 22 m at the rate of rs . 3 a meter ?", + "Output Program": [ + "import math\nn0 = 22.0\nn1 = 3.0\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "207.34511513692632" + ], + "split": "train" + }, + { + "Input": "if 2 pipes take an hour to fill a tank , then how long should 8 pipes take to fill the same tank ?", + "Output Program": [ + "n0 = 2.0\nn1 = 8.0\nt0 = n0 * 60.0\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "worker a takes 4 hours to do a job . worker b takes 10 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "2.857142857142857" + ], + "split": "train" + }, + { + "Input": "someone on a skateboard is traveling 13 miles per hour . how many feet does she travel in 25 seconds ? ( 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 13.0\nn1 = 25.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 * n3\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "476.6666666666667" + ], + "split": "train" + }, + { + "Input": "a train speeds past a pole in 15 seconds and a platform 100 m long in 40 seconds . its length is ?", + "Output Program": [ + "n0 = 15.0\nn1 = 100.0\nn2 = 40.0\nt0 = 2.0 - 1.0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 30 km / hr crosses a pole in 12 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 30.0\nn1 = 12.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "two stations p and q are 65 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ?", + "Output Program": [ + "n0 = 65.0\nn1 = 7.0\nn2 = 20.0\nn3 = 8.0\nn4 = 25.0\nt0 = n0 + n4\nt1 = n2 + n4\nt2 = t0 / t1\nanswer = n1 + t2\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "working individually , emma can wrap presents for 6 hours and troy can wrap presents in 8 hours . if emma and troy work together but independently at the task for 2 hours , at which point troy leaves , how many remaining hours will it take emma to complete the task alone ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 2.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = n2 * t0\nt3 = n2 * t1\nt4 = t2 + t3\nt5 = 1.0 - t4\nanswer = t5 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.5000000000000004" + ], + "split": "train" + }, + { + "Input": "a certain electric - company plan offers customers reduced rates for electricity used between 8 p . m . and 8 a . m . weekdays and 24 hours a day saturdays and sundays . under this plan , the reduced rates z apply to what fraction of a week ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 24.0\nt0 = 2.0 + 3.0\nt1 = 3.0 + 4.0\nt2 = n2 / 2.0\nt3 = n2 * 2.0\nt4 = t0 * t2\nt5 = n2 * t1\nt6 = t4 + t3\nanswer = t6 / t5\nprint(answer)" + ], + "Output Answer": [ + "0.6428571428571429" + ], + "split": "train" + }, + { + "Input": "two trains 121 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 75 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 121.0\nn1 = 165.0\nn2 = 75.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.353697418492236" + ], + "split": "train" + }, + { + "Input": "at a certain resort , each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants . the 3 restaurants are the family buffet , the dining room , and the snack bar . exactly 19 employees are trained to work in the family buffet , 18 are trained to work in the dining room , and 12 are trained to work in the snack bar . if 4 employees are trained to work in exactly 2 restaurants , how many employees are trained to work in all 3 restaurants ?", + "Output Program": [ + "n0 = 39.0\nn1 = 1.0\nn2 = 3.0\nn3 = 3.0\nn4 = 19.0\nn5 = 18.0\nn6 = 12.0\nn7 = 4.0\nn8 = 2.0\nn9 = 3.0\nt0 = n4 + n5\nt1 = n6 + t0\nt2 = t1 - n7\nt3 = t2 - n0\nanswer = t3 / n8\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a train is 700 meter long is running at a speed of 21 km / hour . in what time will it pass a bridge of 130 meter length ?", + "Output Program": [ + "n0 = 700.0\nn1 = 21.0\nn2 = 130.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "142.2857142857143" + ], + "split": "train" + }, + { + "Input": "a alone can finish a work in 10 days which b alone can finish in 15 days . if they work together and finish it , then out of a total wages of rs . 3100 , a will get :", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 3100.0\nt0 = n1 * 2.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = t1 / t3\nanswer = n2 * t4\nprint(answer)" + ], + "Output Answer": [ + "1860" + ], + "split": "train" + }, + { + "Input": "while driving from a - ville to b - town , harriet drove at a constant speed of 110 kilometers per hour . upon arriving in b - town , harriet immediately turned and drove back to a - ville at a constant speed of 140 kilometers per hour . if the entire trip took 5 hours , how many minutes did it take harriet to drive from a - ville to b - town ?", + "Output Program": [ + "n0 = 110.0\nn1 = 140.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = n0 * n2\nt2 = t1 / t0\nt3 = n2 - t2\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "168" + ], + "split": "train" + }, + { + "Input": "the dimensions of an open box are 50 cm , 40 cm and 23 cm . its thickness is 2 cm . if 1 cubic cm of metal used in the box weighs 0.5 gms , find the weight of the box .", + "Output Program": [ + "n0 = 50.0\nn1 = 40.0\nn2 = 23.0\nn3 = 2.0\nn4 = 1.0\nn5 = 0.5\nt0 = n0 * n1\nt1 = n3 * 3.0\nt2 = n2 - 3.0\nt3 = n2 * t0\nt4 = n0 - t1\nt5 = n1 - t1\nt6 = t4 * t5\nt7 = t6 * t2\nt8 = t3 - t7\nt9 = n5 * t8\nanswer = t9 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "8.04" + ], + "split": "train" + }, + { + "Input": "an aeroplane covers a certain distance of 420 kmph in 6 hours . to cover the same distance in 4 2 / 3 hours , it must travel at a speed of ?", + "Output Program": [ + "n0 = 420.0\nn1 = 6.0\nn2 = 4.0\nn3 = 2.0\nn4 = 3.0\nt0 = n0 * n1\nt1 = n2 * n4\nt2 = n3 + t1\nt3 = t2 / n4\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "540" + ], + "split": "train" + }, + { + "Input": "the inner circumference of a circular race track , 14 m wide , is 440 m . find radius of the outer circle ?", + "Output Program": [ + "n0 = 14.0\nn1 = 440.0\nt0 = n1 / 3.141592653589793\nt1 = t0 / 2.0\nanswer = n0 + t1\nprint(answer)" + ], + "Output Answer": [ + "84.02817496043394" + ], + "split": "train" + }, + { + "Input": "how many cuboids of length 5 m , width 2 m and height 3 m can be farmed from a cuboid of 18 m length , 15 m width and 2 m height .", + "Output Program": [ + "n0 = 5.0\nn1 = 2.0\nn2 = 3.0\nn3 = 18.0\nn4 = 15.0\nn5 = 2.0\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = n5 * t0\nt3 = n2 * t1\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "an engineer undertakes a project to build a road 10 km long in 60 days and employs 30 men for the purpose . after 20 days , he finds only 2 km of the road has been completed . find the ( approximate ) number of extra men he must employ to finish the work in time .", + "Output Program": [ + "n0 = 10.0\nn1 = 60.0\nn2 = 30.0\nn3 = 20.0\nn4 = 2.0\nt0 = n0 - n4\nt1 = n1 - n3\nt2 = n2 * t0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t4 / t3\nanswer = t5 - n2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "at steel factory , each employee working the second shift produced 2 / 3 as many widgets as each employee working the first shift . if the first shift has 3 / 4 as many employees , what fraction of the total widgets did the second shift produce ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 3.0\nn3 = 4.0\nt0 = n0 / n1\nt1 = n3 * t0\nt2 = n1 + t1\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.4705882352941177" + ], + "split": "train" + }, + { + "Input": "36 men can complete a piece of work in 18 days . in how many days will 81 men complete the same work ?", + "Output Program": [ + "n0 = 36.0\nn1 = 18.0\nn2 = 81.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "diana works 10 hours per day on monday , wednesday and friday , and 15 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 1800 per week . how much does she earn in dollars per hour ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 1800.0\nt0 = n1 * 2.0\nt1 = n0 * 3.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a car travels at a speed of 65 miles per hour . how far will it travel in 8 hours ?", + "Output Program": [ + "n0 = 65.0\nn1 = 8.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "520" + ], + "split": "train" + }, + { + "Input": "find the expenditure on digging a well 14 m deep and of 3 m diameter at rs . 19 per cubic meter ?", + "Output Program": [ + "import math\nn0 = 14.0\nn1 = 3.0\nn2 = 19.0\nt0 = n1 / 2.0\nt1 = math.pi * t0**2 * n0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "1880.2432031734913" + ], + "split": "train" + }, + { + "Input": "after working for 6 days , david was joined by moore . together they completed the remaining job in 3 days . how many days will it take both of them to complete the entire job , given that it would have taken david 12 days to complete the job alone ?", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nn2 = 12.0\nt0 = n2 / n0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long running at the speed of 54 km / hr takes to cross a bridge 132 m length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 54.0\nn2 = 132.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "16.13204276991174" + ], + "split": "train" + }, + { + "Input": "i spend 40 hours a week ( 5 days ) at work and like to organize my time so that i spend an equal number of hours on the two tasks i currently have . currently , i am spending 5 hours a day on task 1 and 3 on task 2 . how many hours a week less do i need to spend on task 1 in order to evenly distribute my time ?", + "Output Program": [ + "n0 = 40.0\nn1 = 5.0\nn2 = 5.0\nn3 = 1.0\nn4 = 3.0\nn5 = 2.0\nn6 = 1.0\nt0 = n0 / 2.0\nt1 = t0 - n4\nt2 = t0 - n1\nt3 = t1 - t2\nanswer = n4 + t3\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "the cross - section of a cannel is a trapezium in shape . if the cannel is 6 m wide at the top and 4 m wide at the bottom and the area of cross - section is 10290 sq m , the depth of cannel is ?", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nn2 = 10290.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nt2 = n2 / t1\nt3 = t2 / 4.0\nanswer = t3 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "257.25" + ], + "split": "train" + }, + { + "Input": "james and david work at a grocery shop with 6 other workers . for an internal review , 2 of the 6 workers will be randomly chosen to be interviewed . what is the probability that james and david will both be chosen ?", + "Output Program": [ + "n0 = 6.0\nn1 = 2.0\nn2 = 6.0\nt0 = 1.0 / n0\nt1 = n0 - 1.0\nt2 = 1.0 / t1\nt3 = t0 * t2\nanswer = t3 * n1\nprint(answer)" + ], + "Output Answer": [ + "0.06666666666666667" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 30 km and upstream 18 km taking 6 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 30.0\nn1 = 18.0\nn2 = 6.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "pipes a and b can fill a tank in 6 and 4 hours . pipe c can empty it in 12 hours . if all pipes are opened together , then the tank will be filled in ?", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nn2 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm . the total area of the west surface is :", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "49" + ], + "split": "train" + }, + { + "Input": "a can do a work in 15 days and b in 20 days . if they work on it together for 4 days , then the fraction of the work that is left is :", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.5333333333333333" + ], + "split": "train" + }, + { + "Input": "if a light flashes every 6 seconds , how many times will it flash in \u00be of an hour ?", + "Output Program": [ + "n0 = 6.0\nt0 = 3600.0 / 4.0\nt1 = t0 * 3.0\nanswer = t1 / n0\nprint(answer)" + ], + "Output Answer": [ + "450" + ], + "split": "train" + }, + { + "Input": "while working alone at their constant rates , computer x can process 240 files in 12 hours , and computer y can process 240 files in 3 hours . if all files processed by these computers are the same size , how many hours would it take the two computers , working at the same time at their respective constant rates , to process a total of 240 files ?", + "Output Program": [ + "n0 = 240.0\nn1 = 12.0\nn2 = 240.0\nn3 = 3.0\nn4 = 240.0\nt0 = n0 / n1\nt1 = n0 / n3\nt2 = t0 + t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "2.4" + ], + "split": "train" + }, + { + "Input": "two dogsled teams raced across a 300 mile course in wyoming . team a finished the course in 3 fewer hours than team r . if team a ' s average speed was 5 mph greater than team r ' s , what was team r ' s average mph ?", + "Output Program": [ + "n0 = 300.0\nn1 = 3.0\nn2 = 5.0\nt0 = n0 / n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two numbers have a h . c . f of 16 and a product of two numbers is 2560 . find the l . c . m of the two numbers ?", + "Output Program": [ + "n0 = 16.0\nn1 = 2560.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "a man rows his boat 60 km downstream and 30 km upstream taking 3 hrs each time . find the speed of the stream ?", + "Output Program": [ + "n0 = 60.0\nn1 = 30.0\nn2 = 3.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "the q train leaves station a moving at a constant speed , and passes by stations b and c , in this order . it takes the q train 7 hours to reach station b , and 5 additional hours to reach station c . the distance between stations a and b is m kilometers longer than the distance between stations b and c . what is the distance between stations a and c in terms of m ?", + "Output Program": [ + "n0 = 7.0\nn1 = 5.0\nt0 = n1 / n0\nt1 = 1.0 - t0\nt2 = 2.0 / t1\nanswer = t2 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is traveling at 50 kmph observes that a goods train , traveling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed . ?", + "Output Program": [ + "n0 = 50.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "train" + }, + { + "Input": "susan drove an average speed of 30 miles per hour for the first 40 miles of a trip then at a average speed of 15 miles / hr for the remaining 40 miles of the trip if she made no stops during the trip what was susan ' s avg speed in miles / hr for the entire trip", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 15.0\nn3 = 40.0\nt0 = n1 + n1\nt1 = n1 / n0\nt2 = n1 / n2\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two good train each 250 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one .", + "Output Program": [ + "n0 = 250.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = 1 / t1\nt3 = n0 * t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "23.998080153587715" + ], + "split": "train" + }, + { + "Input": "the speed of a railway engine is 96 km per hour when no compartment is attached , and the reduction in speed is directly proportional to the square root of the number of compartments attached . if the speed of the train carried by this engine is 24 km per hour when 9 compartments are attached , the maximum number of compartments that can be carried by the engine is :", + "Output Program": [ + "import math\nn0 = 96.0\nn1 = 24.0\nn2 = 9.0\nt0 = math.sqrt(max(0, n2))\nt1 = n0 - n1\nt2 = t1 / t0\nt3 = n0 / t2\nanswer = t3**min(2.0, 5)\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "machine a and machine b process the same work at different rates . machine c processes work as fast as machines a and b combined . machine d processes work 3 times as fast as machine c ; machine d \u2019 s work rate is also exactly 4 times machine b \u2019 s rate . assume all 4 machines work at fixed unchanging rates . if machine a works alone on a job , it takes 7 hours . if all 4 machines work together on the same job simultaneously , how many minutes will it take all of them to complete it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 4.0\nn3 = 7.0\nn4 = 4.0\nt0 = 1.0 / n3\nt1 = n0 * t0\nt2 = t0 + t1\nt3 = t2 + t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = 1.0 / t5\nanswer = t6 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "21.000000000000004" + ], + "split": "train" + }, + { + "Input": "a 300 meter long train crosses a platform in 48 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 48.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "two trains move in the same direction at speeds 50 kmph and 32 kmph respectively . a man in the slower train observes that 15 seconds elapse before the faster train completely passes by him . what is the length of faster train ?", + "Output Program": [ + "n0 = 50.0\nn1 = 32.0\nn2 = 15.0\nt0 = n0 - n1\nt1 = t0 * 0.2778\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "75.006" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 42 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 150.0\nn2 = 42.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "21.42685727998903" + ], + "split": "train" + }, + { + "Input": "two cars of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 120.0\nn1 = 280.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "19.99840012798976" + ], + "split": "train" + }, + { + "Input": "if 6 men can reap 60 acres of land in 10 days , how many acres of land can 12 men reap in 20 days ?", + "Output Program": [ + "n0 = 6.0\nn1 = 60.0\nn2 = 10.0\nn3 = 12.0\nn4 = 20.0\nt0 = n3 / n0\nt1 = n4 / n2\nt2 = t0 * t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "if ram and gohul can do a job in 10 days and 15 days independently . how many days would they take to complete the same job working simultaneously ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "train" + }, + { + "Input": "a motorcyclist started riding at highway marker a , drove 120 miles to highway marker b , and then , without pausing , continued to highway marker c , where she stopped . the average speed of the motorcyclist , over the course of the entire trip , was 40 miles per hour . if the ride from marker a to marker b lasted 3 times as many hours as the rest of the ride , and the distance from marker b to marker c was half of the distance from marker a to marker b , what was the average speed , in miles per hour , of the motorcyclist while driving from marker b to marker c ?", + "Output Program": [ + "n0 = 120.0\nn1 = 40.0\nn2 = 3.0\nt0 = n0 / 2.0\nt1 = n0 + t0\nt2 = t1 / n1\nt3 = t2 / 4.0\nanswer = t3 * t0\nprint(answer)" + ], + "Output Answer": [ + "67.5" + ], + "split": "train" + }, + { + "Input": "in a manufacturing plant , it takes 36 machines 8 hours of continuous work to fill 8 standard orders . at this rate , how many hours of continuous work by 72 machines are required to fill 12 standard orders ?", + "Output Program": [ + "n0 = 36.0\nn1 = 8.0\nn2 = 8.0\nn3 = 72.0\nn4 = 12.0\nt0 = n0 * n4\nt1 = t0 * n1\nt2 = t1 / n3\nanswer = t2 / n2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a 2000 liter tank , half - full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes . at the same time , the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes . how many minutes does it take to fill the tank completely ?", + "Output Program": [ + "n0 = 2000.0\nn1 = 1.0\nn2 = 2.0\nn3 = 1.0\nn4 = 4.0\nn5 = 6.0\nt0 = n4 + n5\nt1 = n0 / n2\nt2 = n2 + t0\nt3 = t2 * t1\nanswer = t3 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "the length of a train and that of a platform are equal . if with a speed of 144 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?", + "Output Program": [ + "n0 = 144.0\nt0 = 60.0 / 1.0\nt1 = n0 * 1000.0\nt2 = t1 / t0\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1200" + ], + "split": "train" + }, + { + "Input": "a is 1.5 times as fast as b . a alone can do the work in 30 days . if a and b working together in how many days will the work be completed ?", + "Output Program": [ + "n0 = 1.5\nn1 = 30.0\nt0 = 1.0 / n1\nt1 = t0 / n0\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a pump can fill a tank with a water in 2 hours . because of a leak , it took 3 hours to fill the tank . the leak can drain all the water of the full tank in how many hours ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "train" + }, + { + "Input": "on a trip , a cyclist averaged 9 miles per hour for the first 18 miles and 10 miles per hour for the remaining 12 miles . if the cyclist returned immediately via the same route and took a total of 7.2 hours for the round trip , what was the average speed ( in miles per hour ) for the return trip ?", + "Output Program": [ + "n0 = 9.0\nn1 = 18.0\nn2 = 10.0\nn3 = 12.0\nn4 = 7.2\nt0 = n1 + n3\nt1 = n1 / n0\nt2 = n3 / n2\nt3 = t1 + t2\nt4 = n4 - t3\nanswer = t0 / t4\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "if 20 men can build a wall 66 metres long in 12 days , what length of a similar can be built by 86 men in 8 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 66.0\nn2 = 12.0\nn3 = 86.0\nn4 = 8.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "189.2" + ], + "split": "train" + }, + { + "Input": "how many cubes of 4 cm edge can be put in a cubical box of 1 m edge .", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nt0 = n0 / 100.0\nt1 = n1**3\nt2 = t0**3\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "15624.999999999998" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 12 cm and 16 cm long , and the distance between them is 14 cm ?", + "Output Program": [ + "n0 = 12.0\nn1 = 16.0\nn2 = 14.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "196" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 58 km / hr crosses a pole in 9 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 58.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "145" + ], + "split": "train" + }, + { + "Input": "if it takes 4 identical printing presses exactly 6 hours to print 8000 newspapers , how long would it take 2 of these presses to print 6000 newspapers ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 8000.0\nn3 = 2.0\nn4 = 6000.0\nt0 = n0 / n3\nt1 = n4 / n2\nt2 = t0 * t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "in an examination , a student scores 3 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 30 questions and secures 130 marks , the no of questions he attempts correctly is :", + "Output Program": [ + "n0 = 3.0\nn1 = 1.0\nn2 = 30.0\nn3 = 130.0\nt0 = n2 + n3\nt1 = n0 + n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a train with a length of 100 meters , is traveling at a speed of 72 km / hr . the train enters a tunnel 2.3 km long . how many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges ?", + "Output Program": [ + "n0 = 100.0\nn1 = 72.0\nn2 = 2.3\nt0 = n0 / 1000.0\nt1 = n2 + t0\nt2 = t1 / n1\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a garrison of 2000 men has provisions for 40 days . at the end of 20 days , a reinforcement arrives , and it is now found that the provisions will last only for 10 days more . what is the reinforcement ?", + "Output Program": [ + "n0 = 2000.0\nn1 = 40.0\nn2 = 20.0\nn3 = 10.0\nt0 = n0 * n1\nt1 = n0 * n2\nt2 = t0 - t1\nt3 = t2 / n3\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "2000" + ], + "split": "train" + }, + { + "Input": "if 9 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days ?", + "Output Program": [ + "n0 = 9.0\nn1 = 80.0\nn2 = 24.0\nn3 = 36.0\nn4 = 30.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t1 / n1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "if the wheel is 21 cm then the number of revolutions to cover a distance of 1056 cm is ?", + "Output Program": [ + "n0 = 21.0\nn1 = 1056.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "8.007279344858963" + ], + "split": "train" + }, + { + "Input": "a train is 327 meter long is running at a speed of 40 km / hour . in what time will it pass a bridge of 122 meter length ?", + "Output Program": [ + "n0 = 327.0\nn1 = 40.0\nn2 = 122.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "40.410000000000004" + ], + "split": "train" + }, + { + "Input": "if teena is driving at 55 miles per hour and is currently 7.5 miles behind coe , who is driving at 40 miles per hour in the same direction then in how many minutes will teena be 15 miles ahead of coe ?", + "Output Program": [ + "n0 = 55.0\nn1 = 7.5\nn2 = 40.0\nn3 = 15.0\nt0 = n0 - n2\nt1 = n1 + t0\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "in a 500 m race , the ratio of the speeds of two contestants a and b is 2 : 4 . a has a start of 300 m . then , a wins by :", + "Output Program": [ + "n0 = 500.0\nn1 = 2.0\nn2 = 4.0\nn3 = 300.0\nt0 = n0 - n3\nt1 = n2 * t0\nt2 = t1 / n1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 16 hrs and pipe b can fill it in 24 hrs . if both the pipes are opened in the empty tank . in how many hours will it be fill 5 / 4 th of that tank ?", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nn2 = 5.0\nn3 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1 / t2\nt4 = t3 / n3\nanswer = n2 * t4\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000002" + ], + "split": "train" + }, + { + "Input": "a boy traveled from the village to the post - office at the rate of 12.5 kmph and walked back at the rate of 2 kmph . if the whole journey took 5 hours 48 minutes , find the distance of the post - office from the village .", + "Output Program": [ + "n0 = 12.5\nn1 = 2.0\nn2 = 5.0\nn3 = 48.0\nt0 = n0 + n1\nt1 = n3 / 60.0\nt2 = n0 * n1\nt3 = n2 + t1\nt4 = t2 * 2.0\nt5 = t4 / t0\nt6 = t3 * t5\nanswer = t6 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "9.999999999999998" + ], + "split": "train" + }, + { + "Input": "find the expenditure on digging a well 14 m deep and of 3 m diameter at rs . 15 per cubic meter ?", + "Output Program": [ + "import math\nn0 = 14.0\nn1 = 3.0\nn2 = 15.0\nt0 = n1 / 2.0\nt1 = math.pi * t0**2 * n0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "1484.4025288211774" + ], + "split": "train" + }, + { + "Input": "an outlet pipe empties a tank which is full in 5 hours . if the inlet pipe is kept open , which lets water in at the rate of 4 litres / min then outlet pipe would take 3 hours longer . find the capacity of the tank .", + "Output Program": [ + "n0 = 5.0\nn1 = 4.0\nn2 = 3.0\nt0 = n0 + n2\nt1 = n1 * 60.0\nt2 = t0 * t1\nt3 = t2 / n2\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "3200" + ], + "split": "train" + }, + { + "Input": "the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 180 \u00b0 of the circle , what percentage of megatek employees are in manufacturing ?", + "Output Program": [ + "n0 = 180.0\nt0 = 3600.0 / 10.0\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 25 kmph . if he rows downstream , where the speed of current is 11 kmph , what time will he take to cover 80 metres ?", + "Output Program": [ + "n0 = 25.0\nn1 = 11.0\nn2 = 80.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "7.999360051195905" + ], + "split": "train" + }, + { + "Input": "a and b can do a work in 8 hours and 12 hours respectively . a starts the work at 6 am and they work alternately for one hour each . when will the work be completed ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 6.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nt3 = 1 / t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "9.600000000000001" + ], + "split": "train" + }, + { + "Input": "two pipes can fill a tank in 18 minutes and 30 minutes . an outlet pipe can empty the tank in 45 minutes . if all the pipes are opened when the tank is empty , then how many minutes will it take to fill the tank ?", + "Output Program": [ + "n0 = 18.0\nn1 = 30.0\nn2 = 45.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "0.06666666666666665" + ], + "split": "train" + }, + { + "Input": "two numbers n and 16 have lcm = 48 and gcf = 18 . find n .", + "Output Program": [ + "n0 = 16.0\nn1 = 48.0\nn2 = 18.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "two trains leave a station traveling in the same direction . train a leaves traveling at a constant speed of 50 mph , while train b leaves traveling at a constant speed of 80 mph . if train b left the station 30 minutes after train a left , in how many minutes will train b overtake train a ?", + "Output Program": [ + "n0 = 50.0\nn1 = 80.0\nn2 = 30.0\nt0 = n0 * n2\nt1 = n1 - n0\nt2 = t0 / 60.0\nt3 = t2 / t1\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "what is the maximum number of pieces of birthday cake of size 2 \u201d by 2 \u201d that can be cut from a cake 20 \u201d by 20 \u201d ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 20.0\nn3 = 20.0\nt0 = n2 * n2\nt1 = n0 * n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a train is moving at a speed of 100 km / hour . the length of the train is 100 metre . in how much time will it cross a pole ?", + "Output Program": [ + "n0 = 100.0\nn1 = 100.0\nt0 = n0 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.5997120230381574" + ], + "split": "train" + }, + { + "Input": "a train 330 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 330.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190788" + ], + "split": "train" + }, + { + "Input": "what is the greatest of 3 consecutive integers whose sum is 24 ?", + "Output Program": [ + "n0 = 3.0\nn1 = 24.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "a certain car uses 12 gallons of gasoline in traveling 360 miles . in order for the car to travel the same distance using 10 gallons of gasoline , by how many miles per gallon must the car \u2019 s gas mileage be increased ?", + "Output Program": [ + "n0 = 12.0\nn1 = 360.0\nn2 = 10.0\nt0 = n1 / n2\nt1 = n1 / n0\nanswer = t0 - t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a river 4 m deep and 22 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 4.0\nn1 = 22.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "2933.3333333333335" + ], + "split": "train" + }, + { + "Input": "two trains are moving in opposite directions with speed of 110 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds", + "Output Program": [ + "n0 = 110.0\nn1 = 90.0\nn2 = 1.1\nn3 = 0.9\nt0 = n2 + n3\nt1 = n0 + n1\nt2 = t0 / t1\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "if i walk at 3 km / h , i miss the bus by 12 minutes . if i walk at 6 km / h , i reach 10 minutes before the arrival of the bus . how far i walk to reach the bus stand ?", + "Output Program": [ + "n0 = 3.0\nn1 = 12.0\nn2 = 6.0\nn3 = 10.0\nt0 = n1 + n3\nt1 = n0 * n2\nt2 = n2 - n0\nt3 = t1 / t2\nt4 = t0 / 60.0\nanswer = t3 * t4\nprint(answer)" + ], + "Output Answer": [ + "2.1999999999999997" + ], + "split": "train" + }, + { + "Input": "recipe requires 15 mins to cook . you have 7 mins hourglass and a 11 mins hourglass with you . how will you measure 15 mins using them ?", + "Output Program": [ + "n0 = 15.0\nn1 = 7.0\nn2 = 11.0\nn3 = 15.0\nt0 = n2 - n1\nanswer = n2 + t0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "12 welders work at a constant rate they complete an order in 8 days . if after the first day , 9 welders start to work on the other project , how many more days the remaining welders will need to complete the rest of the order ?", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 9.0\nt0 = n0 * n1\nt1 = n0 - n2\nt2 = 1.0 / t0\nt3 = n0 * t2\nt4 = 1.0 - t3\nt5 = t4 / t1\nanswer = t5 / t2\nprint(answer)" + ], + "Output Answer": [ + "28.000000000000004" + ], + "split": "train" + }, + { + "Input": "in a covering a distance of 30 km , abhay takes 2 hours more than sameer . if abhay double his speed , then he would take 1 hour less than sammer . abhay ' s speed is ?", + "Output Program": [ + "n0 = 30.0\nn1 = 2.0\nn2 = 1.0\nt0 = n1 * 3.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "convert the 8 / 36 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 8.0\nn1 = 36.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "0.7999999999999999" + ], + "split": "train" + }, + { + "Input": "a man walks west 10 miles , then turns right towards north and walks another 10 miles . how far is he from the place he started walking .", + "Output Program": [ + "import math\nn0 = 10.0\nn1 = 10.0\nt0 = n0**min(2.0, 5)\nt1 = t0 + t0\nanswer = math.sqrt(max(0, t1))\nprint(answer)" + ], + "Output Answer": [ + "14.142135623730951" + ], + "split": "train" + }, + { + "Input": "a certain car uses 12 gallons of gasoline in traveling 300 miles . in order for the car to travel the same distance using 10 gallons of gasoline , by how many miles per gallon must the car \u2019 s gas mileage be increased ?", + "Output Program": [ + "n0 = 12.0\nn1 = 300.0\nn2 = 10.0\nt0 = n1 / n2\nt1 = n1 / n0\nanswer = t0 - t1\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 30 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 30.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "200.00000000000006" + ], + "split": "train" + }, + { + "Input": "a train 110 m long is running with a speed of 65 km / hr . in what time will it pass a man who is running at 7 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 65.0\nn2 = 7.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "5.4995600351971845" + ], + "split": "train" + }, + { + "Input": "a can do a work in 15 days and b in 20 days . if they work on it together for 4 days then the fraction of the work that is left is ?", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.5333333333333333" + ], + "split": "train" + }, + { + "Input": "two pipes a and b can fill a tank in 30 hours and 45 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ?", + "Output Program": [ + "n0 = 30.0\nn1 = 45.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "two persons a and b can complete a piece of work in 30 days and 45 days respectively . if they work together , what part of the work will be completed in 2 days ?", + "Output Program": [ + "n0 = 30.0\nn1 = 45.0\nn2 = 2.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "0.1111111111111111" + ], + "split": "train" + }, + { + "Input": "stacy has a 63 page history paper due in 3 days . how many pages per day would she have to write to finish on time ?", + "Output Program": [ + "n0 = 63.0\nn1 = 3.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "a river 2 m deep and 45 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 2.0\nn1 = 45.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "3000" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 30 km / hr crosses a pole in 24 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 30.0\nn1 = 24.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "the length of a bridge in meters , which a train 100 - meters long and traveling at 45 km / hr can cross in 30 seconds is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 * 1000.0\nt1 = t0 / 3600.0\nt2 = n2 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "275" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 32 minutes . pipe b can fill the same tank 3 times faster than pipe a . if both the pipes are connected to the tank so that they fill the tank simultaneously , how long will it take for the empty tank to overflow ?", + "Output Program": [ + "n0 = 32.0\nn1 = 3.0\nt0 = 1.0 / n0\nt1 = n1 / n0\nt2 = t0 + t1\nt3 = t2 + t0\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "6.4" + ], + "split": "train" + }, + { + "Input": "two trains 200 m and 160 m long run at the speed of 68 kmph and 40 kmph in opposite directions in parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 200.0\nn1 = 160.0\nn2 = 68.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.999040076793857" + ], + "split": "train" + }, + { + "Input": "a train 140 m long , running with a speed of 63 km / hr will pass a tree in ?", + "Output Program": [ + "n0 = 140.0\nn1 = 63.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a pipe can fill a cistern in 66 minutes . find the time in which 1 / 11 part of the cistern will be filled ?", + "Output Program": [ + "n0 = 66.0\nn1 = 1.0\nn2 = 11.0\nt0 = n1 / n2\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a train crosses a platform of 160 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ?", + "Output Program": [ + "n0 = 160.0\nn1 = 15.0\nn2 = 250.0\nn3 = 20.0\nt0 = n1 / 3.0\nt1 = n1 / t0\nt2 = n3 / t0\nt3 = n2 * t1\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "110" + ], + "split": "train" + }, + { + "Input": "after an ice began to melt out from the freezer , in the first hour lost 3 / 4 , in the second hour lost 3 / 4 of its remaining . if after two hours , the volume is 0.4 cubic inches , what is the original volume of the cubic ice , in cubic inches ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 3.0\nn3 = 4.0\nn4 = 0.4\nt0 = n4 / 0.25\nanswer = t0 / 0.25\nprint(answer)" + ], + "Output Answer": [ + "6.4" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 10 km in the first hour and 60 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 10.0\nn1 = 60.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "a car takes 6 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 540.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 340 m in length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 60.0\nn2 = 340.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "26.997840172786177" + ], + "split": "train" + }, + { + "Input": "a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing . if the poles of the fence are kept 4 metres apart , how many poles will be needed ?", + "Output Program": [ + "n0 = 90.0\nn1 = 50.0\nn2 = 4.0\nt0 = 2 * (n0 + n1) # perimetere of rectangle\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "if the capacity of a cylindrical tank is 1848 m 3 and the diameter of its base is 14 m , then find the depth of the tank .", + "Output Program": [ + "import math\nn0 = 1848.0\nn1 = 3.0\nn2 = 14.0\nt0 = n2 / 2.0\nt1 = math.pi * t0**2\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12.00482999321725" + ], + "split": "train" + }, + { + "Input": "if a train , travelling at a speed of 160 kmph , crosses a pole in 18 sec , then the length of train is ?", + "Output Program": [ + "n0 = 160.0\nn1 = 18.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "800.064" + ], + "split": "train" + }, + { + "Input": "a tank is 25 m long 12 m wide and 6 m deep . the cost of plastering its walls and bottom at 45 paise per sq m is", + "Output Program": [ + "n0 = 25.0\nn1 = 12.0\nn2 = 6.0\nn3 = 45.0\nt0 = n3 / 100.0\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 * n1\nt4 = t1 * 2.0\nt5 = t2 * 2.0\nt6 = t4 + t5\nt7 = t6 + t3\nanswer = t7 * t0\nprint(answer)" + ], + "Output Answer": [ + "334.8" + ], + "split": "train" + }, + { + "Input": "a man rows his boat 120 km downstream and 60 km upstream , taking 2 hours each time . find the speed of the stream ?", + "Output Program": [ + "n0 = 120.0\nn1 = 60.0\nn2 = 2.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "two friends decide to get together ; so they start riding bikes towards each other . they plan to meet halfway . each is riding at 6 mph . they live 36 miles apart . one of them has a pet carrier pigeon and it starts flying the instant the friends start traveling . the pigeon flies back and forth at 21 mph between the 2 friends until the friends meet . how many miles does the pigeon travel ?", + "Output Program": [ + "n0 = 6.0\nn1 = 36.0\nn2 = 21.0\nn3 = 2.0\nt0 = n1 / n3\nt1 = t0 / n0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "63" + ], + "split": "train" + }, + { + "Input": "a car covers a distance of 642 km in 6 \u00bd hours . find its speed ?", + "Output Program": [ + "n0 = 642.0\nn1 = 6.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "107" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 21 minutes is :", + "Output Program": [ + "n0 = 20.0\nn1 = 5.0\nn2 = 21.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "8.75" + ], + "split": "train" + }, + { + "Input": "given a circular wheel of 3.62 m radius how many revolutions will the will make to travel a distance of 1 km ?", + "Output Program": [ + "n0 = 3.62\nn1 = 1.0\nt0 = 1.0 + 10.0\nt1 = 3.0 + 4.0\nt2 = t0 * 2.0\nt3 = t2 / t1\nt4 = t3 * 2.0\nt5 = n0 * t4\nanswer = t5 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "22754.285714285714" + ], + "split": "train" + }, + { + "Input": "a thief is spotted by a policeman from a distance of 225 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ?", + "Output Program": [ + "n0 = 225.0\nn1 = 8.0\nn2 = 10.0\nt0 = n0 * n1\nt1 = n2 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "900" + ], + "split": "train" + }, + { + "Input": "mary works 9 hours per day on monday , wednesday and friday , and 5 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 407 per week . how much does she earn in dollars per hour ?", + "Output Program": [ + "n0 = 9.0\nn1 = 5.0\nn2 = 407.0\nt0 = n0 * 3.0\nt1 = n1 * 2.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "if 22 men do a work in 55 days , in how many days will 10 men do it ?", + "Output Program": [ + "n0 = 22.0\nn1 = 55.0\nn2 = 10.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "121" + ], + "split": "train" + }, + { + "Input": "while working alone at their constant rates , computer x can process 240 files in 12 hours , and computer y can process 240 files in 4 hours . if all files processed by these computers are the same size , how many hours would it take the two computers , working at the same time at their respective constant rates , to process a total of 240 files ?", + "Output Program": [ + "n0 = 240.0\nn1 = 12.0\nn2 = 240.0\nn3 = 4.0\nn4 = 240.0\nt0 = n0 / n1\nt1 = n0 / n3\nt2 = t0 + t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "the diameter of a garden roller is 1.4 m and it is 3 m long . how much area will it cover in 5 revolutions ? ( use \u00ef \u20ac = 22 \u00e2 \u0081 \u201e 7 )", + "Output Program": [ + "n0 = 1.4\nn1 = 3.0\nn2 = 5.0\nn3 = 22.0\nn4 = 7.0\nt0 = n0 / n1\nt1 = n3 / n4\nt2 = t1 * n1\nt3 = t0 * t2\nt4 = n1 * t3\nanswer = n2 * t4\nprint(answer)" + ], + "Output Answer": [ + "66" + ], + "split": "train" + }, + { + "Input": "a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 360 m long platform ?", + "Output Program": [ + "n0 = 36.0\nn1 = 12.0\nn2 = 360.0\nt0 = n0 * 0.2778\nt1 = n1 * t0\nt2 = n2 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "47.99712023038157" + ], + "split": "train" + }, + { + "Input": "two consultants can type up a report in 12.5 hours and edit it in 7.5 hours . if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone , how many hours q will it take if jim types the report and mary edits it immediately after he is done ?", + "Output Program": [ + "n0 = 12.5\nn1 = 7.5\nn2 = 30.0\nn3 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n2\nt2 = 1.0 / n1\nt3 = 1.0 / n3\nt4 = t0 - t1\nt5 = t2 - t3\nt6 = 1 / t4\nt7 = 1 / t5\nanswer = t6 + t7\nprint(answer)" + ], + "Output Answer": [ + "41.42857142857143" + ], + "split": "train" + }, + { + "Input": "if the perimeter of a rectangular garden is 600 m , its length when its breadth is 150 m is ?", + "Output Program": [ + "n0 = 600.0\nn1 = 150.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "a train 110 m long is running with a speed of 60 km / hr . in what time will it pass a trolley that is running with a speed of 12 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 60.0\nn2 = 12.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "5.4995600351971845" + ], + "split": "train" + }, + { + "Input": "5 pumps , working 9 hours a day , can empty a tank in 3 days . how many hours a day should 6 pumps work in order to empty the tank in 1 day ?", + "Output Program": [ + "n0 = 5.0\nn1 = 9.0\nn2 = 3.0\nn3 = 6.0\nn4 = 1.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / n3\nprint(answer)" + ], + "Output Answer": [ + "22.5" + ], + "split": "train" + }, + { + "Input": "x can do a piece of work in 8 hours . y and z together can do it in 6 hours , while x and z together can do it in 4 hours . how long will y alone take to do it ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 4.0\nt0 = 1 / n1\nt1 = 1 / n2\nt2 = 1 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "24.000000000000007" + ], + "split": "train" + }, + { + "Input": "if two students starting from same point , walking in the opposite directions with 6 km / hr and 9 km / hr as average speeds respectively . then the distance between them after 4 hours is ?", + "Output Program": [ + "n0 = 6.0\nn1 = 9.0\nn2 = 4.0\nt0 = n0 * n2\nt1 = n1 * n2\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "find the area of a cuboid of length 12 cm , breadth 6 cm . and height 10 cm .", + "Output Program": [ + "n0 = 12.0\nn1 = 6.0\nn2 = 10.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "720" + ], + "split": "train" + }, + { + "Input": "machine a can finish a job in 6 hours , machine \u0432 can finish the job in 12 hours , and machine \u0441 can finish the job in 8 hours . how many hours will it take for a , b , and \u0441 together to finish the job ?", + "Output Program": [ + "n0 = 6.0\nn1 = 12.0\nn2 = 8.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "2.6666666666666665" + ], + "split": "train" + }, + { + "Input": "amar takes as much time in running 21 meters as a car takes in covering 54 meters . what will be the distance covered by amar during the time the car covers 1.8 km ?", + "Output Program": [ + "n0 = 21.0\nn1 = 54.0\nn2 = 1.8\nt0 = n2 * 1000.0\nt1 = n0 * t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "700" + ], + "split": "train" + }, + { + "Input": "a boat sails 15 km of a river towards upstream in 5 hours . how long will it take to cover the same distance downstream , if the speed of current is one - fourth the speed of the boat in still water ?", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "there was two trains from calcutta to kanyakumari one train is fast service travels with a speed 75 km per hour another travels with a speed of 44 km per hour the time taken to reach from calcutta to kanyakumari is 4 hours less than the first train . . . find the distance b / w calcatta to kanyakumari", + "Output Program": [ + "n0 = 75.0\nn1 = 44.0\nn2 = 4.0\nt0 = n0 * n1\nt1 = n0 - n1\nt2 = t0 * 4.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "425.80645161290323" + ], + "split": "train" + }, + { + "Input": "if 8 men do a work in 80 days , in how many days will 20 men do it ?", + "Output Program": [ + "n0 = 8.0\nn1 = 80.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a courtyard is 30 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm . the total number of bricks required is ?", + "Output Program": [ + "n0 = 30.0\nn1 = 16.0\nn2 = 20.0\nn3 = 10.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n2 * n3\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "24000" + ], + "split": "train" + }, + { + "Input": "tim ' s garden is shaped like a square whose side is 28 meters . what ' s the length of the fence which surrounds the garden ?", + "Output Program": [ + "n0 = 28.0\n\nanswer = 4 * n0\nprint(answer)" + ], + "Output Answer": [ + "112" + ], + "split": "train" + }, + { + "Input": "if 13 lions can kill 13 deers in 13 minutes how long will it take 100 lions to kill 100 deers ?", + "Output Program": [ + "n0 = 13.0\nn1 = 13.0\nn2 = 13.0\nn3 = 100.0\nn4 = 100.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "each day a man meets his wife at the train station after work , and then she drives him home . she always arrives exactly on time to pick him up . one day he catches an earlier train and arrives at the station an hour early . he immediately begins walking home along the same route the wife drives . eventually his wife sees him on her way to the station and drives him the rest of the way home . when they arrive home the man notices that they arrived 30 minutes earlier than usual . how much time did the man spend walking ?", + "Output Program": [ + "n0 = 30.0\nt0 = n0 / 2.0\nanswer = 60.0 - t0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 145 km in the first hour and 60 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 145.0\nn1 = 60.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "102.5" + ], + "split": "train" + }, + { + "Input": "in what time will a train 50 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 50.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "1.24990000799936" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 25 meters or 10 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 25.0\nn1 = 10.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "390" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 100 meters long take to cross a bridge 160 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 160.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "25.997920166386688" + ], + "split": "train" + }, + { + "Input": "matt and peter can do together a piece of work in 20 days . after they have worked together for 12 days matt stops and peter completes the remaining work in 8 days . in how many days peter complete the work separately .", + "Output Program": [ + "n0 = 20.0\nn1 = 12.0\nn2 = 8.0\nt0 = 1.0 / n0\nt1 = n1 * t0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "20.000000000000004" + ], + "split": "train" + }, + { + "Input": "jack rode his bicycle at an average speed of 5 mph for some time and then at an average speed of 15 mph for the rest of the journey . if he made no stops during the trip , and his average speed for the entire journey was 10 miles per hour , for what fraction of the total time did he ride at 15 mph ?", + "Output Program": [ + "n0 = 5.0\nn1 = 15.0\nn2 = 10.0\nn3 = 15.0\nt0 = n1 / n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "a cistern 4 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm . what is the total area of the wet surface ?", + "Output Program": [ + "n0 = 4.0\nn1 = 4.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 * 2.0\nt6 = t4 * 2.0\nt7 = t1 + t5\nanswer = t7 + t6\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "two pipes p and q can fill a cistern in 12 and 15 minutes respectively . both are opened together , but at the end of 4 minutes the first is turned off . how many more minutes will it take for the cistern to fill after the first pipe is turned off ?", + "Output Program": [ + "n0 = 12.0\nn1 = 15.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = t2 * 4.0\nt4 = 1.0 - t3\nanswer = n1 * t4\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "two parallel sides of a trapezium are 4 cm and 5 cm respectively . the perpendicular distance between the parallel sides is 6 cm . find the area of the trapezium .", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 6.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "a water tank is four - fifths full . pipe a can fill a tank in 10 minutes and pipe b can empty it in 6 minutes . if both the pipes are open , how many minutes will it take to empty or fill the tank completely ?", + "Output Program": [ + "n0 = 10.0\nn1 = 6.0\nt0 = 2.0 + 3.0\nt1 = 1 / n1\nt2 = 1 / n0\nt3 = 4.0 / t0\nt4 = t1 - t2\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "train" + }, + { + "Input": "a and b finish the job in 15 days . while a , b and c can finish it in 5 days . c alone will finish the job in", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "calculate how many days it will take for 7 boys to wash a 35 m long wall if 5 boys can wash a 25 m long wall in 4 days ,", + "Output Program": [ + "n0 = 7.0\nn1 = 35.0\nn2 = 5.0\nn3 = 25.0\nn4 = 4.0\nt0 = n2 * n4\nt1 = n0 * n3\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "youseff lives x blocks from his office . it takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work . it is takes him exactly 6 minutes more to walk to work than to ride his bike to work , then x equals ?", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 6.0\nt0 = n2 * 3.0\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "natasha climbs up a hill , and descends along the same way she went up . it takes her 4 hours to reach the top and 2 hours to come back down . if her average speed along the whole journey is 1.5 kilometers per hour , what was her average speed ( in kilometers per hour ) while climbing to the top ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 1.5\nt0 = n0 + n1\nt1 = n2 * t0\nt2 = t1 / n1\nanswer = t2 / n0\nprint(answer)" + ], + "Output Answer": [ + "1.125" + ], + "split": "train" + }, + { + "Input": "man can row upstream at 25 kmph and downstream at 35 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 25.0\nn1 = 35.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a children ' s gift store sells gift certificates in denominations of $ 3 and $ 5 . the store sold ' m ' $ 3 certificates and ' n ' $ 5 certificates worth $ 93 on a saturday afternoon . if ' m ' and ' n ' are natural numbers , how many different values can ' m ' take ?", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 5.0\nn2 = 3.0\nn3 = 5.0\nn4 = 93.0\nt0 = n4 / n0\nt1 = t0 / n1\nanswer = math.floor(t1)\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a square has a side 5 centimeters shorter than the side of a second square . the area of the larger square is four times the area of the smaller square . find the side of each square", + "Output Program": [ + "import math\nn0 = 5.0\nt0 = n0**2\nanswer = math.sqrt(t0) # square edge given area\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "8 men can dig a pit in 20 days . if a men work half as much again as a boy , then 4 men and 9 boys can dig a similar pit . fint the days for 15 boys can dig ?", + "Output Program": [ + "n0 = 8.0\nn1 = 20.0\nn2 = 4.0\nn3 = 9.0\nn4 = 15.0\nt0 = n4 - n3\nt1 = t0 / n2\nt2 = n0 * t1\nt3 = n1 * t2\nanswer = t3 / n4\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "how long does a train 120 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length ?", + "Output Program": [ + "n0 = 120.0\nn1 = 54.0\nn2 = 660.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "51.99584033277338" + ], + "split": "train" + }, + { + "Input": "a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 10 multiples of 14 , how many multiples of 7 are there in q ?", + "Output Program": [ + "n0 = 14.0\nn1 = 10.0\nn2 = 14.0\nn3 = 7.0\nt0 = n1 * 2.0\nanswer = t0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "in what time will a train 140 meters long cross an electric pole , if its speed is 210 km / hr", + "Output Program": [ + "n0 = 140.0\nn1 = 210.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.3998080153587713" + ], + "split": "train" + }, + { + "Input": "there are two cars . one is 300 miles north of the other . simultaneously , the car to the north is driven westward at 20 miles per hour and the other car is driven eastward at 60 miles per hour . how many miles apart are the cars after 5 hours ?", + "Output Program": [ + "import math\nn0 = 300.0\nn1 = 20.0\nn2 = 60.0\nn3 = 5.0\nt0 = n2 * n3\nt1 = n1 * n3\nt2 = t0 + t1\nt3 = t0**min(2.0, 5)\nt4 = t2**min(2.0, 5)\nt5 = t4 + t3\nanswer = math.sqrt(max(0, t5))\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "the cross - section of a water channel is a trapezium in shape . if the channel is 12 meters wide at the top and 6 meters wide at the bottom and the area of cross - section is 630 square meters , what is the depth of the channel ( in meters ) ?", + "Output Program": [ + "n0 = 12.0\nn1 = 6.0\nn2 = 630.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "a bicycle wheel has a diameter of 0.51 m . how many complete revolutions does it make in 1 km ?", + "Output Program": [ + "n0 = 0.51\nn1 = 1.0\nt0 = n1 * 1000.0\nt1 = 3.0 * 4.0\nt2 = 2.0 * 4.0\nt3 = t1 + 2.0\nt4 = t2 + 2.0\nt5 = t4**min(2.0, 5)\nt6 = t3 / t5\nt7 = t6 + 3.0\nt8 = n0 * t7\nanswer = t0 / t8\nprint(answer)" + ], + "Output Answer": [ + "624.4536030972898" + ], + "split": "train" + }, + { + "Input": "x can finish a work in 20 days . y can finish the same work in 16 days . y worked for 12 days and left the job . how many days does x alone need to finish the remaining work ?", + "Output Program": [ + "n0 = 20.0\nn1 = 16.0\nn2 = 12.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = n2 * t0\nt3 = 1.0 - t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 600 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?", + "Output Program": [ + "n0 = 600.0\nn1 = 63.0\nn2 = 3.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "35.99712023038157" + ], + "split": "train" + }, + { + "Input": "machine a can process 6000 envelopes in 3 hours . machines b and c working together but independently can process the same number of envelopes in 2.5 hours . if machines a and c working together but independently process 3000 envelopes in 1 hour , then how many hours would it take machine b to process 5600 envelopes .", + "Output Program": [ + "n0 = 6000.0\nn1 = 3.0\nn2 = 2.5\nn3 = 3000.0\nn4 = 1.0\nn5 = 5600.0\nt0 = n0 / n2\nt1 = n3 / n4\nt2 = n0 / n1\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = n5 / t4\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "two trains 111 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 100 km and the other at the rate of 120 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 111.0\nn1 = 165.0\nn2 = 100.0\nn3 = 120.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.516002356175142" + ], + "split": "train" + }, + { + "Input": "if a boat is rowed downstream for 600 km in 20 hours and upstream for 48 km in 4 hours , what is the speed of the boat and the river ?", + "Output Program": [ + "n0 = 600.0\nn1 = 20.0\nn2 = 48.0\nn3 = 4.0\nt0 = n2 / n3\nt1 = n0 / n1\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 700 m long ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 120.0\nn2 = 700.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "190" + ], + "split": "train" + }, + { + "Input": "due to construction , the speed limit along an 6 - mile section of highway is reduced from 55 miles per hour to 35 miles per hour . approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?", + "Output Program": [ + "n0 = 6.0\nn1 = 55.0\nn2 = 35.0\nt0 = n0 + n1\nt1 = n0 / n2\nt2 = n0 / n1\nt3 = t0 - 1.0\nt4 = t1 - t2\nt5 = t3 * t4\nanswer = max(t5,4.0)\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a rectangular grassy plot 100 m . by 70 m has a gravel path 2.5 m wide all round it on the inside . find the cost of gravelling the path at 90 paise per sq . metre .", + "Output Program": [ + "n0 = 100.0\nn1 = 70.0\nn2 = 2.5\nn3 = 90.0\nt0 = n0 * n1\nt1 = n2 * 2.0\nt2 = n0 - t1\nt3 = n1 - t1\nt4 = t2 * t3\nt5 = t0 - t4\nt6 = n3 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "742.5" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . find the cost of paying the floor by slabs at the rate of rs . 800 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 800.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "16500" + ], + "split": "train" + }, + { + "Input": "the length of minute hand of a clock is 5.5 cm . what is the area covered by this in 10 minutes", + "Output Program": [ + "n0 = 5.5\nn1 = 10.0\nt0 = 3.0 + 4.0\nt1 = n1 * 2.0\nt2 = 1.0 * 60.0\nt3 = 100.0 * 3.6\nt4 = n0 * n0\nt5 = t1 + 2.0\nt6 = t2 / t3\nt7 = t5 / t0\nt8 = t6 * t4\nanswer = t7 * t8\nprint(answer)" + ], + "Output Answer": [ + "15.845238095238093" + ], + "split": "train" + }, + { + "Input": "one hour after yolanda started walking from x to y , a distance of 52 miles , bob started walking along the same road from y to x . if yolanda ' s walking rate was 3 miles per hour and bob \u0442 ' s was 4 miles per hour , how many miles had bob walked when they met ?", + "Output Program": [ + "n0 = 52.0\nn1 = 3.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = n0 - n1\nt2 = t1 / t0\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "30 men can do a work in 40 days . when should 10 men leave the work so that the entire work is completed in 40 days after they leave the work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 10.0\nn3 = 40.0\nt0 = n0 * n1\nt1 = n1 * n2\nt2 = t0 - t1\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two trains of equal lengths take 10 sec and 15 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 120.0\nt0 = n2 * 2.0\nt1 = n2 / n1\nt2 = n2 / n0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "there is food for 760 men for 22 days . how many more men should join after two days so that the same food may last for 16 days more ?", + "Output Program": [ + "n0 = 760.0\nn1 = 22.0\nn2 = 16.0\nt0 = n1 - 2.0\nt1 = n0 * t0\nt2 = t1 / n2\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "190" + ], + "split": "train" + }, + { + "Input": "if two - third of a bucket is filled in 90 seconds then the time taken to fill the bucket completely will be .", + "Output Program": [ + "n0 = 90.0\nt0 = n0 / 2.0\nanswer = t0 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "135" + ], + "split": "train" + }, + { + "Input": "if a tire rotates at 400 revolutions per minute when the car is traveling 120 km / h , what is the circumference of the tire ?", + "Output Program": [ + "n0 = 400.0\nn1 = 120.0\nt0 = 2.0 * 3.0\nt1 = t0 * 10.0\nt2 = n0 * t1\nt3 = n1 / t2\nanswer = t3 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "10 men do a work in 10 days . how many men are needed to finish the work in 2 days ?", + "Output Program": [ + "n0 = 10.0\nn1 = 10.0\nn2 = 2.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "a man can row 8 kmph in still water . if the velocity of the current is 2 kmph and it takes him 2 hours to row to a place and come back . how far is the place ?", + "Output Program": [ + "n0 = 8.0\nn1 = 2.0\nn2 = 2.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n1 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "the hiker walking at a constant rate of 5 miles per hour is passed by a cyclist traveling in the same direction along the same path at 20 miles per hour . the cyclist stops to wait for the hiker 5 minutes after passing her , while the hiker continues to walk at her constant rate , how many minutes must the cyclist wait until the hiker catches up ?", + "Output Program": [ + "n0 = 5.0\nn1 = 20.0\nn2 = 5.0\nt0 = n2 / 60.0\nt1 = n1 - n0\nt2 = t0 * t1\nt3 = t2 / n0\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes . the inlet pipe fills water into the tank at the rate of 5 cubic inches / min and the 2 outlet pipes empty it out at the rates of 9 cubic inches / min and 8 cubic inches / min respectively . if all 3 pipes are opened when the tank is full , how many minutes does it take to empty the tank ? ( 1 foot = 12 inches )", + "Output Program": [ + "n0 = 30.0\nn1 = 2.0\nn2 = 5.0\nn3 = 2.0\nn4 = 9.0\nn5 = 8.0\nn6 = 3.0\nn7 = 1.0\nn8 = 12.0\nt0 = n4 + n5\nt1 = n8**min(n6, 5)\nt2 = n0 * t1\nt3 = t0 - n2\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "4320" + ], + "split": "train" + }, + { + "Input": "a 90 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", + "Output Program": [ + "n0 = 90.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "410.03999999999996" + ], + "split": "train" + }, + { + "Input": "a person walking at 10 kmph reaches his office 10 minutes late . if he walks at 15 kmph , he reaches there 10 minutes earlier . how far is the office from his house ?", + "Output Program": [ + "n0 = 10.0\nn1 = 10.0\nn2 = 15.0\nn3 = 10.0\nt0 = n0 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nt3 = n2 * t0\nt4 = t2 + t3\nt5 = t4 / t1\nt6 = t5 + t0\nanswer = n0 * t6\nprint(answer)" + ], + "Output Answer": [ + "9.999999999999998" + ], + "split": "train" + }, + { + "Input": "tammy climbed a mountain in two days . she spent a total of 14 hours climbing the mountain . on the second day , she walked at an average speed that was half a kilometer per hour faster , but 2 hours less than what she walked on the first day . if the total distance she climbed during the two days is 52 kilometers , how many w kilometers per hour did tammy walk on the second day ?", + "Output Program": [ + "n0 = 14.0\nn1 = 2.0\nn2 = 52.0\nt0 = n0 + n1\nt1 = 1.0 / n1\nt2 = t0 / n1\nt3 = t2 - n1\nt4 = t2 + t3\nt5 = t3 / n1\nt6 = n2 - t5\nt7 = t6 / t4\nanswer = t7 + t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a car takes 8 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 8.0\nn1 = 540.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "if the perimeter of a rectangular park is 1000 m , its length when its breadth is 200 m is ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 200.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "on a trip , a cyclist averaged 8 miles per hour for the first 16 miles and 10 miles per hour for the remaining 16 miles . if the cyclist returned immediately via the same route and took a total of 6.8 hours for the round trip , what was the average speed ( in miles per hour ) for the return trip ?", + "Output Program": [ + "n0 = 8.0\nn1 = 16.0\nn2 = 10.0\nn3 = 16.0\nn4 = 6.8\nt0 = n1 + n3\nt1 = n1 / n0\nt2 = n3 / n2\nt3 = t1 + t2\nt4 = n4 - t3\nanswer = t0 / t4\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a and b complete a work in 6 days . a can alone can do it in 10 days . if both can together can do the work in how many days ?", + "Output Program": [ + "n0 = 6.0\nn1 = 10.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.75" + ], + "split": "train" + }, + { + "Input": "suppose you work for a manufacturing plant that pays you $ 12.50 an hour plus $ 0.16 for each widget you make . how many widgets must you produce in a 40 hour week to earn $ 620 ( before payroll deductions ) ?", + "Output Program": [ + "n0 = 12.5\nn1 = 0.16\nn2 = 40.0\nn3 = 620.0\nt0 = n0 * n2\nt1 = n3 - t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "750" + ], + "split": "train" + }, + { + "Input": "what is the distance covered by a car if it travels with a speed of 160 kmh for 5 hours ?", + "Output Program": [ + "n0 = 160.0\nn1 = 5.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "800" + ], + "split": "train" + }, + { + "Input": "a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 168 , how many hours overtime did he work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 40.0\nn2 = 168.0\nt0 = n0 * n1\nt1 = n0 * 2.0\nt2 = n2 - t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "if a is thrice as fast as b and together can do a work in 21 days . in how many days a alone can do the work ?", + "Output Program": [ + "n0 = 21.0\nt0 = n0 * 4.0\nt1 = 3.0 / t0\nanswer = 1 / t1\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "a train 280 m long , running with a speed of 72 km / hr will pass a tree in", + "Output Program": [ + "n0 = 280.0\nn1 = 72.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 24 km and upstream 12 km taking 6 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 24.0\nn1 = 12.0\nn2 = 6.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a can fill tank in 9 minutes , b can empty the tank in 18 minutes . . in what time the tank be filled , if both pipes work simultaneously ?", + "Output Program": [ + "n0 = 9.0\nn1 = 18.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a can do a work in 3 days . b can do in 6 days . if both a & b are working together in how many days they can finish the work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "excluding the stoppages , the speed of a bus is 64 km / hr and including the stoppages the speed of the bus is 48 km / hr . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 64.0\nn1 = 48.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a tank is filled by 3 pipes a , b , c in 8 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nt0 = 2.0 * 2.0\nt1 = t0 + 2.0\nt2 = t1 + 1.0\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "56" + ], + "split": "train" + }, + { + "Input": "a car travels at a speed of 75 miles per hour . how far will it travel in 5 hours ?", + "Output Program": [ + "n0 = 75.0\nn1 = 5.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "375" + ], + "split": "train" + }, + { + "Input": "angelina walked 150 meters from her home to the grocery at a constant speed . she then walked 200 meters to the gym at double the speed . she spent 10 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ?", + "Output Program": [ + "n0 = 150.0\nn1 = 200.0\nn2 = 10.0\nt0 = n1 / 2.0\nt1 = n0 - t0\nt2 = t1 / n2\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 30 km / hr crosses a pole in 9 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 30.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "if 8 men or 12 women can do a piece of work in 15 days , in how many days can the same work be done by 6 men and 11 women ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 15.0\nn3 = 6.0\nn4 = 11.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = n3 / t0\nt3 = n4 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "a train 200 m long running at 72 kmph crosses a platform in 25 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 200.0\nn1 = 72.0\nn2 = 25.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "300.04" + ], + "split": "train" + }, + { + "Input": "the length of a train and that of a platform are equal . if with a speed of 126 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?", + "Output Program": [ + "n0 = 126.0\nt0 = 60.0 / 1.0\nt1 = n0 * 1000.0\nt2 = t1 / t0\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1050" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 5 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 3.0\nn1 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.500000000000002" + ], + "split": "train" + }, + { + "Input": "a tank can supply water to a village for 100 days . if a leak at the bottom of the tank drains out 10 liters per day , the supply lasts for 75 days only . for how many days will the supply last if the leak drains out 20 liters per day ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 75.0\nn3 = 20.0\nt0 = n1 * n2\nt1 = n0 - n2\nt2 = t0 / t1\nt3 = n3 + t2\nt4 = n0 * t2\nanswer = t4 / t3\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a 300 meter long train crosses a platform in 36 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 36.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "39 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 39.0\nn1 = 12.0\nn2 = 5.0\nn3 = 30.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 300 resolutions .", + "Output Program": [ + "n0 = 22.4\nn1 = 300.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "422.3999999999999" + ], + "split": "train" + }, + { + "Input": "an outlet pipe empties a tank which is full in 10 hours . if the inlet pipe is kept open , which lets liquid in at the rate of 8 litres / min then outlet pipe would take 6 hours longer . find the capacity of the tank .", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nn2 = 6.0\nt0 = n0 + n2\nt1 = n1 * 60.0\nt2 = t0 * t1\nt3 = t2 / n2\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "12800" + ], + "split": "train" + }, + { + "Input": "karen places a bet with tom that she will beat tom in a car race by 4 miles even if karen starts 4 minutes late . assuming that karen drives at an average speed of 60 mph and tom drives at an average speed of 45 mph , how many y miles will tom drive before karen wins the bet ?", + "Output Program": [ + "n0 = 4.0\nn1 = 4.0\nn2 = 60.0\nn3 = 45.0\nt0 = n3 / n2\nt1 = n2 / n2\nt2 = n0 * t0\nt3 = t1 - t0\nt4 = n0 + t2\nt5 = t4 / t3\nanswer = t5 - n0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a train 100 m long is running at a speed of 68 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?", + "Output Program": [ + "n0 = 100.0\nn1 = 68.0\nn2 = 8.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "5.999520038396929" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 6.6 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 6.6\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "33.934511513692634" + ], + "split": "train" + }, + { + "Input": "pipe a fills a tank in 6 minutes . pipe b can fill the same tank 2 times as fast as pipe a . if both the pipes are kept open when the tank is empty , how many minutes will it take to fill the tank ?", + "Output Program": [ + "n0 = 6.0\nn1 = 2.0\nt0 = 1.0 / n0\nt1 = n1 / n0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a can do a particular work in 6 days . b can do the same work in 8 days . a and b signed to do it for rs . 3360 . they completed the work in 3 days with the help of c . how much is to be paid to c ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 3360.0\nn3 = 3.0\nt0 = 1.0 / n3\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = t1 + t2\nt4 = t0 - t3\nt5 = n3 * t4\nanswer = n2 * t5\nprint(answer)" + ], + "Output Answer": [ + "420.00000000000017" + ], + "split": "train" + }, + { + "Input": "a can complete a project in 20 days and b can complete the same project in 30 days . if a and b start working on the project together and a quits 10 days before the project is completed , in how many days will the project be completed ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t1 + t0\nt3 = n2 * t0\nt4 = 1.0 - t3\nt5 = t4 / t2\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "60 litres of diesel is required to travel 600 km using a 800 cc engine . if the volume of diesel required to cover a distance varies directly as the capacity of the engine , then how many litres of diesel is required to travel 800 km using 1200 cc engine ?", + "Output Program": [ + "n0 = 60.0\nn1 = 600.0\nn2 = 800.0\nn3 = 800.0\nn4 = 1200.0\nt0 = n1 * n2\nt1 = n0 / t0\nt2 = n2 * t1\nanswer = n4 * t2\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "a bus trip of 450 miles would have taken 1 hour less if the average speed s for the trip had been greater by 5 miles per hour . what was the average speed s , in miles per hour , for the trip ?", + "Output Program": [ + "import math\nn0 = 450.0\nn1 = 1.0\nn2 = 5.0\nt0 = n0 * n2\nt1 = n2**min(2.0, 5)\nt2 = t0 * 4.0\nt3 = t2 + t1\nt4 = math.sqrt(max(0, t3))\nt5 = t4 - n2\nanswer = t5 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "i flew my tiny seaplane to visit my mother . on the flight up , i flew at 110 mph . on the way home , i flew 72 mph . what was my average speed for the trip ?", + "Output Program": [ + "n0 = 110.0\nn1 = 72.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "91" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is traveling at 56 kmph observes that a goods train , traveling in opposite direction , takes 15 seconds to pass him . if the goods train is 410 m long , find its speed", + "Output Program": [ + "n0 = 56.0\nn1 = 15.0\nn2 = 410.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "42.39999999999999" + ], + "split": "train" + }, + { + "Input": "maxwell leaves his home and walks toward brad ' s house . one hour later , brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 54 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the total time it takes maxwell before he meets up with brad ?", + "Output Program": [ + "n0 = 54.0\nn1 = 4.0\nn2 = 6.0\nt0 = n0 + n2\nt1 = n1 + n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 13 km / hr in still water . if the speed of the stream is 4 km / hr . find the time taken by the boat to go 68 km downstream ?", + "Output Program": [ + "n0 = 13.0\nn1 = 4.0\nn2 = 68.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 42 m at the rate of rs . 3 a meter ?", + "Output Program": [ + "import math\nn0 = 42.0\nn1 = 3.0\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "395.84067435231395" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of rs . 800 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 800.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "16500" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 60 kmph and including stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 60.0\nn1 = 45.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day . during the first 7 days , his average wages was $ 87 per day and the average wages during the last 7 days was $ 90 per day . what was his wage on the 8 th day ?", + "Output Program": [ + "n0 = 15.0\nn1 = 90.0\nn2 = 7.0\nn3 = 87.0\nn4 = 7.0\nn5 = 90.0\nn6 = 8.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = n2 * n5\nt3 = t1 + t2\nanswer = t0 - t3\nprint(answer)" + ], + "Output Answer": [ + "111" + ], + "split": "train" + }, + { + "Input": "a train 55 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 55.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "workers at a campaign office have 2000 fliers to send out . if they send out 1 / 10 of them in the morning and 1 / 4 of the remaining ones out during the afternoon , how many are left for the next day ?", + "Output Program": [ + "n0 = 2000.0\nn1 = 1.0\nn2 = 10.0\nn3 = 1.0\nn4 = 4.0\nt0 = n0 / n2\nt1 = n0 - t0\nt2 = t1 / n4\nanswer = t1 - t2\nprint(answer)" + ], + "Output Answer": [ + "1350" + ], + "split": "train" + }, + { + "Input": "a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 40 percent .", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 40.0\nt0 = n2 / n1\nanswer = t0 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "a train running at a speed of 36 km / h passes an electric pole in 14 seconds . in how many seconds will the whole train pass a 360 - meter long platform ?", + "Output Program": [ + "n0 = 36.0\nn1 = 14.0\nn2 = 360.0\nt0 = n0 * 0.2778\nt1 = n1 * t0\nt2 = n2 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "49.997120230381576" + ], + "split": "train" + }, + { + "Input": "a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 27 m * 2 m * 0.75 m ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 7.5\nn3 = 27.0\nn4 = 2.0\nn5 = 0.75\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n5 * 100.0\nt3 = t0 * t1\nt4 = t3 * t2\nt5 = t4 / n0\nt6 = t5 / n1\nanswer = t6 / n2\nprint(answer)" + ], + "Output Answer": [ + "27000" + ], + "split": "train" + }, + { + "Input": "in traveling from a dormitory to a certain city , a student went 1 / 4 of the way by foot , 1 / 2 of the way by bus , and the remaining 10 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?", + "Output Program": [ + "n0 = 1.0\nn1 = 4.0\nn2 = 1.0\nn3 = 2.0\nn4 = 10.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 + t1\nt3 = n0 - t2\nt4 = 1 / t3\nanswer = n4 * t4\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "what would be the minimum number of pumps required to fill a tank of 1000 m 3 to 85 % in one hour ? the capacity of the pump is 150 m 3 / hour and operates at an efficiency of 75 % .", + "Output Program": [ + "import math\nn0 = 1000.0\nn1 = 3.0\nn2 = 85.0\nn3 = 150.0\nn4 = 3.0\nn5 = 75.0\nt0 = n0 * n2\nt1 = n3 * n5\nt2 = t0 / 100.0\nt3 = t1 / 100.0\nt4 = t2 / t3\nt5 = t4 + 1.0\nanswer = math.floor(t5)\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 26 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 26.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 48 km / hr crosses a pole in 9 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 48.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "a and b go around a circular track of length 1800 m on a cycle at speeds of 36 kmph and 54 kmph . after how much time will they meet for the first time at the starting point ?", + "Output Program": [ + "n0 = 1800.0\nn1 = 36.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n1 * 0.2778\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "359.97120230381574" + ], + "split": "train" + }, + { + "Input": "the length of a side of a hexagon is 10 inches . what is the perimeter ?", + "Output Program": [ + "n0 = 10.0\nt0 = 2.0 * 3.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a train 350 m long , running with a speed of 63 km / hr will pass a tree in ?", + "Output Program": [ + "n0 = 350.0\nn1 = 63.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a car travelling with 5 / 7 km of its actual speed covers 42 km in 1 hr 40 min 48 sec find the actual speed of the car ?", + "Output Program": [ + "n0 = 5.0\nn1 = 7.0\nn2 = 42.0\nn3 = 1.0\nn4 = 40.0\nn5 = 48.0\nt0 = n4 * 60.0\nt1 = n5 + t0\nt2 = t1 / 3600.0\nt3 = n3 + t2\nt4 = n2 / t3\nt5 = n1 * t4\nanswer = t5 / n0\nprint(answer)" + ], + "Output Answer": [ + "34.99999999999999" + ], + "split": "train" + }, + { + "Input": "sari and ken climb up a mountain . at night , they camp together . on the day they are supposed to reach the summit , sari wakes up at 08 : 00 and starts climbing at a constant pace . ken starts climbing only at 10 : 00 , when sari is already 700 meters ahead of him . nevertheless , ken climbs at a constant pace of 500 meters per hour , and reaches the summit before sari . if sari is 50 meters behind ken when he reaches the summit , at what time did ken reach the summit ?", + "Output Program": [ + "n0 = 8.0\nn1 = 0.0\nn2 = 10.0\nn3 = 0.0\nn4 = 700.0\nn5 = 500.0\nn6 = 50.0\nt0 = n4 + n6\nt1 = n4 / 2.0\nt2 = n5 - t1\nt3 = t0 / t2\nanswer = n2 + t3\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a 200 meter long train crosses a platform in 50 seconds while it crosses a signal pole in 42 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 200.0\nn1 = 50.0\nn2 = 42.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "38.0952380952381" + ], + "split": "train" + }, + { + "Input": "a van takes 5 hours to cover a distance of 600 km . what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time ?", + "Output Program": [ + "n0 = 5.0\nn1 = 600.0\nn2 = 3.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "a and b undertake to do a piece of work for $ 500 . a alone can do it in 5 days while b alone can do it in 10 days . with the help of c , they finish it in 2 days . find the share of c ?", + "Output Program": [ + "n0 = 500.0\nn1 = 5.0\nn2 = 10.0\nn3 = 2.0\nt0 = 1 / n1\nt1 = 1 / n3\nt2 = 1 / n2\nt3 = n2 * n3\nt4 = t0 + t2\nt5 = t0 * t3\nt6 = t2 * t3\nt7 = t1 - t4\nt8 = t3 * t7\nt9 = t8 + t5\nt10 = t9 + t6\nt11 = t5 / t10\nanswer = n0 * t11\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "angelina walked 100 meters from her home to the grocery at a constant speed . she then walked 180 meters to the gym at double the speed . she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ?", + "Output Program": [ + "n0 = 100.0\nn1 = 180.0\nn2 = 40.0\nt0 = n1 / 2.0\nt1 = n0 - t0\nt2 = t1 / n2\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "a worker makes a toy in every 3 h . if he works for 150 h , then how many toys will he make ?", + "Output Program": [ + "n0 = 3.0\nn1 = 150.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "in one hour , a boat goes 11 km along the stream and 5 km against the stream . the speed of the boat in still water in ( km / hr ) is", + "Output Program": [ + "n0 = 11.0\nn1 = 5.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "45 workers work 8 hours to dig a hole 30 meters deep . how many extra workers should be hired to dig another hole 40 meters deep by working for 6 hours ?", + "Output Program": [ + "n0 = 45.0\nn1 = 8.0\nn2 = 30.0\nn3 = 40.0\nn4 = 6.0\nt0 = n3 / n2\nt1 = n1 / n4\nt2 = n0 * t1\nt3 = t0 * t2\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "one hour after yolanda started walking from x to y , a distance of 17 miles , bob started walking along the same road from y to x . if yolanda ' s walking rate was 3 miles per hour and bob \u0442 ' s was 4 miles per hour , how many miles had bob walked when they met ?", + "Output Program": [ + "n0 = 17.0\nn1 = 3.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = n0 - n1\nt2 = t1 / t0\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "two friends decide to get together ; so they start riding bikes towards each other . they plan to meet halfway . each is riding at 6 mph . they live 36 miles apart . one of them has a pet carrier pigeon and it starts flying the instant the friends start traveling . the pigeon flies back and forth at 19 mph between the 2 friends until the friends meet . how many miles does the pigeon travel ?", + "Output Program": [ + "n0 = 6.0\nn1 = 36.0\nn2 = 19.0\nn3 = 2.0\nt0 = n1 / n3\nt1 = t0 / n0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "57" + ], + "split": "train" + }, + { + "Input": "the number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is ?", + "Output Program": [ + "import math\nn0 = 2.3\nt0 = math.floor(n0)\nt1 = n0 - t0\nt2 = t1 / 60.0\nt3 = t2 * 100.0\nt4 = t0 + t3\nt5 = t4 * 3.0\nanswer = t5 * 10.0\nprint(answer)" + ], + "Output Answer": [ + "74.99999999999999" + ], + "split": "train" + }, + { + "Input": "a contractor undertakes to complete the construction of a tunnel 720 meters long in 240 days and employs 50 men for the purpose . after 120 days , he finds that only 240 meters of the tunnel is complete . how many more men should be employ in order to complete the work in time ?", + "Output Program": [ + "n0 = 720.0\nn1 = 240.0\nn2 = 50.0\nn3 = 120.0\nn4 = 240.0\n\nanswer = n3 - n2\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 2 days and 6 days respectively . both work for 1 days and then a goes away . find how long will b take to complete the remaining work ?", + "Output Program": [ + "n0 = 2.0\nn1 = 6.0\nn2 = 1.0\nt0 = n2 / n1\nt1 = n2 / n0\nt2 = t0 + t1\nt3 = 1.0 - t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.0000000000000004" + ], + "split": "train" + }, + { + "Input": "karen places a bet with tom that she will beat tom in a car race by 4 miles even if karen starts 4 minutes late . assuming that karen drives at an average speed of 60 mph and tom drives at an average speed of 45 mph , how many h miles will tom drive before karen wins the bet ?", + "Output Program": [ + "n0 = 4.0\nn1 = 4.0\nn2 = 60.0\nn3 = 45.0\nt0 = n3 / n2\nt1 = n2 / n2\nt2 = n0 * t0\nt3 = t1 - t0\nt4 = n0 + t2\nt5 = t4 / t3\nanswer = t5 - n0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "the speed of a train is 90 kmph . what is the distance covered by it in 30 minutes ?", + "Output Program": [ + "n0 = 90.0\nn1 = 30.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 60 meters or 15 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 60.0\nn1 = 15.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "235" + ], + "split": "train" + }, + { + "Input": "train starts from amritsar to bombay at 9 am . it reaches destination after 3 days at 9 : 30 am . every day a train starts . how many trains does it come across on the way ?", + "Output Program": [ + "n0 = 9.0\nn1 = 3.0\nn2 = 9.0\nn3 = 30.0\n\nanswer = n1 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "if 15 lions can kill 15 deers in 15 minutes how long will it take 100 lions to kill 100 deers ?", + "Output Program": [ + "n0 = 15.0\nn1 = 15.0\nn2 = 15.0\nn3 = 100.0\nn4 = 100.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "pavan travelled for 15 hours . he covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph . find the distance travelled by pavan .", + "Output Program": [ + "n0 = 15.0\nn1 = 30.0\nn2 = 25.0\nt0 = n1 * 2.0\nt1 = n2 * 2.0\nt2 = 1 / t0\nt3 = 1 / t1\nt4 = t2 + t3\nt5 = 1 / t4\nanswer = n0 * t5\nprint(answer)" + ], + "Output Answer": [ + "409.0909090909091" + ], + "split": "train" + }, + { + "Input": "a goods train runs at a speed of 72 kmph and crosses a 290 m long platform in 26 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 290.0\nn2 = 26.0\nt0 = n0 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n1\nprint(answer)" + ], + "Output Answer": [ + "230.04160000000002" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 72 km / hr crosses a pole in 8 seconds . find the length of the train .", + "Output Program": [ + "n0 = 72.0\nn1 = 8.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "the length of a train and that of a platform are equal . if with a speed of 90 k / hr , the train crosses the platform in one minute , then the length of the train ( in metres ) is :", + "Output Program": [ + "n0 = 90.0\nt0 = 60.0 / 1.0\nt1 = n0 * 1000.0\nt2 = t1 / t0\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "750" + ], + "split": "train" + }, + { + "Input": "what is the speed of the stream if a canoe rows upstream at 3 km / hr and downstream at 12 km / hr", + "Output Program": [ + "n0 = 3.0\nn1 = 12.0\nt0 = n1 - n0\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "a certain number of men can do a work in 20 days . if there were 4 men less it could be finished in 5 days more . how many men are there ?", + "Output Program": [ + "n0 = 20.0\nn1 = 4.0\nn2 = 5.0\nt0 = n0 + n2\nt1 = n1 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 36 km / hr crosses a pole in 9 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 36.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a train moves with a speed of 108 kmph . its speed in metres per second is", + "Output Program": [ + "n0 = 108.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "30.002399999999998" + ], + "split": "train" + }, + { + "Input": "20 beavers , working together in a constant pace , can build a dam in 18 hours . how many hours will it take 12 beavers that work at the same pace , to build the same dam ?", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 12.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a , b , c , d and e are ve consecutive odd numbers the sum of a and c is 146 . what is the value of e ?", + "Output Program": [ + "n0 = 146.0\nt0 = 2.0 * 2.0\nt1 = 2.0 * 4.0\nt2 = n0 - t0\nt3 = t2 / 2.0\nanswer = t3 + t1\nprint(answer)" + ], + "Output Answer": [ + "79" + ], + "split": "train" + }, + { + "Input": "jonathan can type a 10 page document in 40 minutes , susan can type it in 30 minutes , and jack can type it in 24 minutes . working together , how much time will it take them to type the same document ?", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nn2 = 30.0\nn3 = 24.0\nt0 = n0 / n1\nt1 = n0 / n2\nt2 = n0 / n3\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = n0 / t4\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a train 220 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 220.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "11.999040076793857" + ], + "split": "train" + }, + { + "Input": "a tank is filled by 3 pipes a , b , c in 4 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nt0 = 2.0 * 2.0\nt1 = t0 + 2.0\nt2 = t1 + 1.0\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 21 km / hr and the rate of current is 8 km / hr . the distance travelled downstream in 13 minutes is", + "Output Program": [ + "n0 = 21.0\nn1 = 8.0\nn2 = 13.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "6.283333333333333" + ], + "split": "train" + }, + { + "Input": "a clock shows the time as 9 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 4 p . m . ?", + "Output Program": [ + "n0 = 9.0\nn1 = 5.0\nn2 = 4.0\nt0 = 3.0 + 4.0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "the time it took car p to travel 600 miles was 2 hours less than the time it took car r to travel the same distance . if car p \u2019 s average speed was 10 miles per hour greater than that of car r , what was car r \u2019 s average speed , in miles per hour ?", + "Output Program": [ + "import math\nn0 = 600.0\nn1 = 2.0\nn2 = 10.0\nt0 = n0 * n2\nt1 = -n2\nt2 = t0 / n1\nt3 = t1**min(n1, 5)\nt4 = -t2\nt5 = t4 * 4.0\nt6 = t3 - t5\nt7 = math.sqrt(max(0, t6))\nt8 = t1 + t7\nanswer = t8 / n1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "at a speed of 50 miles per hour , a certain car uses 1 gallon of gasoline every 30 miles . if the car starts with a full 10 gallon tank of gasoline and travels for 5 hours at 50 miles per hour , the amount of gasoline used would be what fraction of a full tank ?", + "Output Program": [ + "n0 = 50.0\nn1 = 1.0\nn2 = 30.0\nn3 = 10.0\nn4 = 5.0\nn5 = 50.0\nt0 = n0 * n4\nt1 = t0 / n2\nanswer = t1 / n3\nprint(answer)" + ], + "Output Answer": [ + "0.8333333333333334" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 12 cm", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 12.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "228" + ], + "split": "train" + }, + { + "Input": "henrikh lives x blocks from his office . it takes him 1 minute per block to walk to work and 20 seconds per block to ride his bicycle to work . if it takes him exactly 8 minutes more to walk to work than to ride his bicycle , then x equals", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 8.0\nt0 = n2 * 60.0\nt1 = n0 * 60.0\nt2 = t1 - n1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a hemispherical bowl is made of 0.5 cm thick steel . inner radius of the bowl is 4 cm . the volume of steel used in making the bowl is", + "Output Program": [ + "import math\nn0 = 0.5\nn1 = 4.0\nt0 = n0 + n1\nt1 = 4 / 3 * math.pi * n1**3\nt2 = 4 / 3 * math.pi * t0**3\nt3 = t2 - t1\nanswer = t3 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "56.81046715241541" + ], + "split": "train" + }, + { + "Input": "if the l . c . m of two numbers is 600 and their product is 18000 , find the h . c . f of the numbers .", + "Output Program": [ + "n0 = 600.0\nn1 = 18000.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "working at a constant rate , p can finish a job in 3 hours . q , also working at a constant rate , can finish the same job in 18 hours . if they work together for 2 hours , how many more minutes will it take p to finish the job , working alone at his constant rate ?", + "Output Program": [ + "n0 = 3.0\nn1 = 18.0\nn2 = 2.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nt3 = t2 * n2\nt4 = 1.0 - t3\nt5 = t4 / t0\nanswer = t5 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "40.000000000000014" + ], + "split": "train" + }, + { + "Input": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 7 meters , and the interior of tank b has a height of 7 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?", + "Output Program": [ + "n0 = 10.0\nn1 = 7.0\nn2 = 7.0\nn3 = 10.0\nt0 = n0 / n2\nt1 = n1 / n3\nt2 = t1**min(2.0, 5)\nt3 = t0 * t2\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "a 280 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?", + "Output Program": [ + "n0 = 280.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "220.03999999999996" + ], + "split": "train" + }, + { + "Input": "in a 100 m sprint race kelly was given a 3 m head start by abel . if abel lost the race to kelly by a distance of 0.50 m , how many meters more would abel need to overtake kelly ?", + "Output Program": [ + "n0 = 100.0\nn1 = 3.0\nn2 = 0.5\nt0 = n0 - n2\nt1 = n0 - n1\nt2 = t0 - t1\nt3 = t0 / t2\nanswer = n2 * t3\nprint(answer)" + ], + "Output Answer": [ + "19.9" + ], + "split": "train" + }, + { + "Input": "the volume of a wall , 5 times as high as it is broad and 8 times as long as it is high , is 12.8 cu . meters . find the breadth of the wall .", + "Output Program": [ + "n0 = 5.0\nn1 = 8.0\nn2 = 12.8\nt0 = 4.0 / 10.0\nt1 = n0 * n1\nt2 = n0 * t1\nt3 = n2 / t2\nt4 = t3 / t0\nt5 = t4 / t0\nanswer = t5 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 48 days for the patch to cover the entire lake , how many days would it take the patch to cover half of the lake ?", + "Output Program": [ + "n0 = 48.0\n\nanswer = n0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "47" + ], + "split": "train" + }, + { + "Input": "if 20 men can build a wall 112 metres long in 6 days , what length of a similar wall can be built by 35 men in 3 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 112.0\nn2 = 6.0\nn3 = 35.0\nn4 = 3.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "98" + ], + "split": "train" + }, + { + "Input": "sakshi can do a piece of work in 20 days . tanya is 25 % more efficient than sakshi . the number of days taken by tanya to do the same piece of work is ?", + "Output Program": [ + "n0 = 20.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "how many seconds does sandy take to cover a distance of 500 meters , if sandy runs at a speed of 18 km / hr ?", + "Output Program": [ + "n0 = 500.0\nn1 = 18.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "99.9920006399488" + ], + "split": "train" + }, + { + "Input": "a man can row 6 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?", + "Output Program": [ + "n0 = 6.0\nn1 = 1.2\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "5.760000000000001" + ], + "split": "train" + }, + { + "Input": "show timer statistics to apply for the position of photographer at a local magazine , veronica needs to include 3 or 4 of her pictures in an envelope accompanying her application . if she has pre - selected 5 photos representative of her work , how many choices does she have to provide the photos for the magazine ?", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 4.0\nn2 = 5.0\nt0 = math.factorial(min(15, int(n2)))\nt1 = math.factorial(min(15, int(n0)))\nt2 = math.factorial(min(15, int(n1)))\nt3 = math.factorial(min(15, int(1.0)))\nt4 = n2 - n0\nt5 = math.factorial(min(15, int(t4)))\nt6 = t2 * t3\nt7 = t0 / t6\nt8 = t1 * t5\nt9 = t0 / t8\nanswer = t9 + t7\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "if 15 horses eat 15 bags of gram in 15 days , in how many days will one horse eat one bag of grain ?", + "Output Program": [ + "n0 = 15.0\nn1 = 15.0\nn2 = 15.0\nt0 = 1 / n0\nanswer = 1 / t0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 12 seconds . find the length of the train .", + "Output Program": [ + "n0 = 60.0\nn1 = 12.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "the speeds of three asteroids were compared . asteroids x - 13 and y - 14 were observed for identical durations , while asteroid z - 15 was observed for 2 seconds longer . during its period of observation , asteroid y - 14 traveled three times the distance x - 13 traveled , and therefore y - 14 was found to be faster than x - 13 by 8000 kilometers per second . asteroid z - 15 had an identical speed as that of x - 13 , but because z - 15 was observed for a longer period , it traveled five times the distance x - 13 traveled during x - 13 ' s inspection . asteroid x - 13 traveled how many kilometers during its observation ?", + "Output Program": [ + "n0 = 13.0\nn1 = 14.0\nn2 = 15.0\nn3 = 2.0\nn4 = 14.0\nn5 = 13.0\nn6 = 14.0\nn7 = 13.0\nn8 = 8000.0\nn9 = 15.0\nn10 = 13.0\nn11 = 15.0\nn12 = 13.0\nn13 = 13.0\nn14 = 13.0\nt0 = n8 / 2.0\nt1 = 1.0 / 2.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "2000" + ], + "split": "train" + }, + { + "Input": "youseff lives x blocks from his office . it takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work . it is takes him exactly 4 minutes more to walk to work than to ride his bike to work , then x equals ?", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 4.0\nt0 = n2 * 3.0\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a take twice as much time as b or thrice as much time to finish a piece of work . working together , they can finish the work in 5 days . b can do the work alone in ?", + "Output Program": [ + "n0 = 5.0\nt0 = 1.0 + 2.0\nt1 = t0 + 3.0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a train 400 m in length crosses a telegraph post in 16 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 400.0\nn1 = 16.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "ravi can do a piece of work in 50 days while prakash can do it in 75 days . in how many days will they finish it together ?", + "Output Program": [ + "n0 = 50.0\nn1 = 75.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 24 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 196 km downstream", + "Output Program": [ + "n0 = 24.0\nn1 = 4.0\nn2 = 196.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "600 men have provisions for 20 days . if 200 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 600.0\nn1 = 20.0\nn2 = 200.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "in a garment industry , 12 men working 8 hours per day complete a piece of work in 10 days . to complete the same work in 8 days , working 5 hours a day , the number of men required is :", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 10.0\nn3 = 8.0\nn4 = 5.0\nt0 = n0 * n1\nt1 = n2 * t0\nt2 = t1 / n4\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "if in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it , then what will be the maximum number of the small boxes that can be kept in it ?", + "Output Program": [ + "n0 = 6.0\nn1 = 5.0\nn2 = 4.0\nn3 = 60.0\nn4 = 50.0\nn5 = 40.0\nt0 = n5 / 100.0\nt1 = n3 / 100.0\nt2 = n4 / 100.0\nt3 = n0 * n1\nt4 = n2 * t3\nt5 = t1 * t2\nt6 = t0 * t5\nanswer = t4 / t6\nprint(answer)" + ], + "Output Answer": [ + "1000" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water in 22 km / hr and the rate of current is 4 km / hr . the distance travelled downstream in 24 minutes is :", + "Output Program": [ + "n0 = 22.0\nn1 = 4.0\nn2 = 24.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "10.4" + ], + "split": "train" + }, + { + "Input": "a certain bacteria colony doubles in size every day for 16 days , at which point it reaches the limit of its habitat and can no longer grow . if two bacteria colonies start growing simultaneously , how many days will it take them to reach the habitat \u2019 s limit ?", + "Output Program": [ + "n0 = 16.0\nt0 = n0 / n0\nanswer = n0 - t0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "sakshi can do a piece of work in 15 days . tanya is 25 % more efficient than sakshi . the number of days taken by tanya to do the same piece of work :", + "Output Program": [ + "n0 = 15.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "an electric pump can fill a tank in 5 hours . because of a leak in the tank , it took 10 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ?", + "Output Program": [ + "n0 = 5.0\nn1 = 10.0\n\nanswer = n1 / 1.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "length of a rectangular plot is 16 mtr more than its breadth . if the cost of fencing the plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 16.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "58" + ], + "split": "train" + }, + { + "Input": "two stations a and b are 155 km apart on a straight line . one train starts from a at 7 a . m . and travels towards b at 20 kmph . another train starts from b at 8 a . m . and travels towards a at a speed of 25 kmph . at what time will they meet ?", + "Output Program": [ + "n0 = 155.0\nn1 = 7.0\nn2 = 20.0\nn3 = 8.0\nn4 = 25.0\nt0 = n2 + n4\nt1 = n0 - n2\nt2 = t1 / t0\nanswer = n3 + t2\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "a van takes 6 hours to cover a distance of 180 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 180.0\nn2 = 3.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a can do a work in 40 days , b in 60 days . a alone start the work after 10 days he left work . in how many days b can finish the work ?", + "Output Program": [ + "n0 = 40.0\nn1 = 60.0\nn2 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = n2 * t0\nt3 = 1.0 - t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "12 men can complete a piece of work in 4 days , while 15 women can complete the same work in 4 days . 6 men start working on the job and after working for 2 days , all of them stopped working . how many women should be put on the job to complete the remaining work , if it is to be completed in 3 days .", + "Output Program": [ + "n0 = 12.0\nn1 = 4.0\nn2 = 15.0\nn3 = 4.0\nn4 = 6.0\nn5 = 2.0\nn6 = 3.0\nt0 = 1.0 / n6\nt1 = 1.0 / n1\nt2 = n4 * n5\nt3 = t1 / n2\nt4 = t1 / n0\nt5 = 1.0 / t3\nt6 = t4 * t2\nt7 = 1.0 - t6\nt8 = t5 * t7\nanswer = t0 * t8\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a tap can fill a tank in 16 hours . after half the tank is filled , 3 more similar taps are opened . what is the total time taken to fill the tank completely ?", + "Output Program": [ + "n0 = 16.0\nn1 = 3.0\nt0 = n1 + n1\nanswer = n0 - t0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "robert is travelling on his cycle and has calculated to reach point a at 2 p . m . if he travels at 10 kmph , he will reach there at 12 noon if he travels at 15 kmph . at what speed must he travel to reach a at 1 p . m . ?", + "Output Program": [ + "n0 = 2.0\nn1 = 10.0\nn2 = 12.0\nn3 = 15.0\nn4 = 1.0\nt0 = n4 + 4.0\nt1 = n4 / n1\nt2 = n4 / n3\nt3 = t1 - t2\nt4 = n0 / t3\nanswer = t4 / t0\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999996" + ], + "split": "train" + }, + { + "Input": "calculate the number of bricks , each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10 % of its volume is occupied by mortar ?", + "Output Program": [ + "n0 = 25.0\nn1 = 15.0\nn2 = 8.0\nn3 = 10.0\nn4 = 4.0\nn5 = 5.0\nn6 = 10.0\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n5 * 100.0\nt3 = n0 * n1\nt4 = n3 - 1.0\nt5 = t4 / n3\nt6 = t0 * t1\nt7 = n2 * t3\nt8 = t6 * t2\nt9 = t5 * t8\nt10 = t9 / t7\nanswer = t10 / n3\nprint(answer)" + ], + "Output Answer": [ + "6000" + ], + "split": "train" + }, + { + "Input": "a 6000 liter tank , half - full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes . at the same time , the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes . how many minutes does it take to fill the tank completely ?", + "Output Program": [ + "n0 = 6000.0\nn1 = 1.0\nn2 = 2.0\nn3 = 1.0\nn4 = 4.0\nn5 = 6.0\nt0 = n4 + n5\nt1 = n0 / n2\nt2 = n2 + t0\nt3 = t2 * t1\nanswer = t3 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "18 men can complete a piece of work in 20 days . in how many days can 15 men complete that piece of work ?", + "Output Program": [ + "n0 = 18.0\nn1 = 20.0\nn2 = 15.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 kmph and crosses a 270 m long platform in 26 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 270.0\nn2 = 26.0\nt0 = n0 * 0.2778\nt1 = n1 / t0\nt2 = n2 - t1\nanswer = t0 * t2\nprint(answer)" + ], + "Output Answer": [ + "250.04160000000002" + ], + "split": "train" + }, + { + "Input": "j is faster than p . j and p each walk 24 km . sum of the speeds of j and p is 7 kmph . sum of time taken by them is 14 hours . then j speed is equal to", + "Output Program": [ + "n0 = 24.0\nn1 = 7.0\nn2 = 14.0\nt0 = n0 / 4.0\nt1 = n0 / 3.0\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "a river 5 m deep and 35 m wide is flowing at the rate of 2 kmph , calculate the amount of water that runs into the sea per minute ?", + "Output Program": [ + "n0 = 5.0\nn1 = 35.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "5833.333333333333" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is travelling at 60 kmph observes that a goods train , travelling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed ?", + "Output Program": [ + "n0 = 60.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "52" + ], + "split": "train" + }, + { + "Input": "to fill a tank , 25 buckets of water is required . how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two - fifth of its present ?", + "Output Program": [ + "n0 = 25.0\nt0 = 1.0 + 4.0\nt1 = n0 * t0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "62.5" + ], + "split": "train" + }, + { + "Input": "the walker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 20 miles per hour . the cyclist stops to wait for the hiker 5 minutes after passing her , while the walker continues to walk at her constant rate , how many minutes must the cyclist wait until the walker catches up ?", + "Output Program": [ + "n0 = 4.0\nn1 = 20.0\nn2 = 5.0\nt0 = n1 / 60.0\nt1 = n0 / 60.0\nt2 = n2 * t0\nt3 = n2 * t1\nt4 = t2 - t3\nanswer = t4 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "in a games hour 4 different types of players came to the ground ? cricket 12 , hokey 17 , football 11 , softball 10 . how many players are present in the ground ?", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nn2 = 17.0\nn3 = 11.0\nn4 = 10.0\nt0 = n1 + n2\nt1 = n3 + n4\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "ajith and rana walk around a circular course 115 km in circumference , starting together from the same point . if they walk at speed of 4 and 5 kmph respectively , in the same direction , when will they meet ?", + "Output Program": [ + "n0 = 115.0\nn1 = 4.0\nn2 = 5.0\nt0 = n2 - n1\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "115" + ], + "split": "train" + }, + { + "Input": "a certain industrial loom weaves 0.129 meters of cloth every second . approximately how many seconds will it take for the loom to weave 15 meters of cloth ?", + "Output Program": [ + "n0 = 0.129\nn1 = 15.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "116.27906976744185" + ], + "split": "train" + }, + { + "Input": "a car traveled 448 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 6 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?", + "Output Program": [ + "n0 = 448.0\nn1 = 336.0\nn2 = 6.0\nt0 = n0 - n1\nt1 = t0 / n2\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "two men start from opposite banks of a river . they meet 340 meters away from one of the banks on forward journey . after that they meet at 170 meters from the other bank of the river on their backward journey . what will be the width of the river ( in meters ) ?", + "Output Program": [ + "n0 = 340.0\nn1 = 170.0\nt0 = n0 + n1\nt1 = n1 + t0\nanswer = n1 + t1\nprint(answer)" + ], + "Output Answer": [ + "850" + ], + "split": "train" + }, + { + "Input": "a 160 meter long train crosses a man standing on the platform in 9 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 160.0\nn1 = 9.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "64" + ], + "split": "train" + }, + { + "Input": "how many pieces of 0.85 metres can be cut from a rod 42.5 metres long ?", + "Output Program": [ + "n0 = 0.85\nn1 = 42.5\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "cole drove from home to work at an average speed of 75 kmh . he then returned home at an average speed of 105 kmh . if the round trip took a total of 1 hours , how many minutes did it take cole to drive to work ?", + "Output Program": [ + "n0 = 75.0\nn1 = 105.0\nn2 = 1.0\nt0 = n0 + n1\nt1 = n1 * n2\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "two trains a and b starting from two points and travelling in opposite directions , reach their destinations 9 hours and 4 hours respectively after meeting each other . if the train a travels at 90 kmph , find the rate at which the train b runs .", + "Output Program": [ + "import math\nn0 = 9.0\nn1 = 4.0\nn2 = 90.0\nt0 = n0 / n1\nt1 = math.sqrt(max(0, t0))\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "135" + ], + "split": "train" + }, + { + "Input": "a vessel of capacity 90 litres is fully filled with pure milk . nine litres of milk is removed from the vessel and replaced with water . nine litres of the solution thus formed is removed and replaced with water . find the quantity of pure milk in the final milk solution ?", + "Output Program": [ + "n0 = 90.0\nt0 = 3.0 * 3.0\nt1 = n0 - t0\nt2 = t1 / n0\nt3 = t2 * t0\nanswer = t1 - t3\nprint(answer)" + ], + "Output Answer": [ + "72.9" + ], + "split": "train" + }, + { + "Input": "if 11.25 m of a uniform steel rod weighs 42.75 kg . what will be the weight of 6 m of the same rod ?", + "Output Program": [ + "n0 = 11.25\nn1 = 42.75\nn2 = 6.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "22.8" + ], + "split": "train" + }, + { + "Input": "a car drives 60 miles on local roads at 30 mph , and 65 miles on the highway at 65 mph , what is the average speed of the entire trip ?", + "Output Program": [ + "n0 = 60.0\nn1 = 30.0\nn2 = 65.0\nn3 = 65.0\nt0 = n0 + n2\nt1 = n0 / n1\nt2 = n2 / n3\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "41.666666666666664" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 120 metres long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 120.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "255" + ], + "split": "train" + }, + { + "Input": "a , b , c , d and e are 5 consecutive points on a straight line . if bc = 3 cd , de = 7 , ab = 5 and ac = 11 , what is the length of ae ?", + "Output Program": [ + "n0 = 5.0\nn1 = 3.0\nn2 = 7.0\nn3 = 5.0\nn4 = 11.0\nt0 = n4 - n0\nt1 = t0 / n1\nt2 = n4 + t1\nanswer = n2 + t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 70 meters long take to cross a bridge 80 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 70.0\nn1 = 80.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "14.998800095992321" + ], + "split": "train" + }, + { + "Input": "a is 30 % more efficient than b . how much time will they , working together , take to complete a job which a alone could have done in 23 days ?", + "Output Program": [ + "n0 = 30.0\nn1 = 23.0\nt0 = 1.0 / n1\nt1 = n0 / 100.0\nt2 = t1 + 1.0\nt3 = n1 * t2\nt4 = 1.0 / t3\nt5 = t0 + t4\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "a man can row a distance of 5 km in 60 min with the help of the tide . the direction of the tide reverses with the same speed . now he travels a further 30 km in 10 hours . how much time he would have saved if the direction of tide has not changed ?", + "Output Program": [ + "n0 = 5.0\nn1 = 60.0\nn2 = 30.0\nn3 = 10.0\nt0 = n2 / n0\nanswer = n3 - t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "jane makes toy bears . when she works with an assistant , she makes 80 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane \u2019 s output of toy bears per hour by what percent q ?", + "Output Program": [ + "n0 = 80.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = t0 - n1\nt2 = n1 / t1\nanswer = t2 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "john left home and drove at the rate of 35 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination . how many miles did john drive ?", + "Output Program": [ + "n0 = 35.0\nn1 = 2.0\nn2 = 3.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "235" + ], + "split": "train" + }, + { + "Input": "two cars start at the same time from opposite ends of a highway that is 105 miles long . one car is riding at 15 mph and the second car is riding at 20 mph . how long after they begin will they meet ?", + "Output Program": [ + "n0 = 105.0\nn1 = 15.0\nn2 = 20.0\nt0 = n1 + n2\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "there are 60 people and 3 clubs m , s , and z in a company . 16 people joined m , 18 people joined s and 11 people joined z . if the members of m did not join any other club , at most , how many people of the company did not join any club ?", + "Output Program": [ + "n0 = 60.0\nn1 = 3.0\nn2 = 16.0\nn3 = 18.0\nn4 = 11.0\nt0 = n0 - n2\nanswer = t0 - n3\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "water boils at 212 \u00b0 f or 100 \u00b0 c and ice melts at 32 \u00b0 f or 0 \u00b0 c . if the temperature of a pot of water is 50 \u00b0 c , what is the temperature of the pot of water in \u00b0 f ?", + "Output Program": [ + "n0 = 212.0\nn1 = 100.0\nn2 = 32.0\nn3 = 0.0\nn4 = 50.0\nt0 = n0 - n2\nt1 = t0 / n1\nt2 = n4 * t1\nanswer = n2 + t2\nprint(answer)" + ], + "Output Answer": [ + "122" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 155 metres long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 155.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "220" + ], + "split": "train" + }, + { + "Input": "in a 100 m race , a covers the distance in 36 seconds and b in 45 second . in this race a beats b by :", + "Output Program": [ + "n0 = 100.0\nn1 = 36.0\nn2 = 45.0\nt0 = n0 / n2\nt1 = n2 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a owner of a mart earns an income of re 1 on the first day of his business . on every subsequent day , he earns an income which is just double of that made on the previous day . on the 10 th day of business , he earns an income of :", + "Output Program": [ + "n0 = 1.0\nn1 = 10.0\nt0 = 2.0 * 4.0\nanswer = n1 + t0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "if the diagonals of a rhombus are 24 cm and 10 cm , what will be its perimeter", + "Output Program": [ + "import math\nn0 = 24.0\nn1 = 10.0\nt0 = n0 / 2.0\nt1 = n1 / 2.0\nt2 = t0**min(2.0, 5)\nt3 = t1**min(2.0, 5)\nt4 = t2 + t3\nt5 = math.sqrt(max(0, t4))\nanswer = 4 * t5\nprint(answer)" + ], + "Output Answer": [ + "52" + ], + "split": "train" + }, + { + "Input": "the cost of carpeting a room 18 m long with a carpet 75 cm wide at 4.50 per metre is 810 . the breadth of the room is :", + "Output Program": [ + "n0 = 18.0\nn1 = 75.0\nn2 = 4.5\nn3 = 810.0\nt0 = n3 / n2\nt1 = n1 / 100.0\nt2 = t0 * t1\nanswer = t2 / n0\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 3.00 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?", + "Output Program": [ + "import math\nn0 = 3136.0\nn1 = 3.0\nn2 = 3.0\nn3 = 1.0\nt0 = n3 * 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 * 4.0\nt3 = t2 - t0\nt4 = n2 * t3\nanswer = t4 * n1\nprint(answer)" + ], + "Output Answer": [ + "1998" + ], + "split": "train" + }, + { + "Input": "a train covered half of the distance between stations a and b at the speed of 48 km / hr , but then it had to stop for 15 min . to make up for the delay , it increased its speed by 53 m / sec and it arrived to station b on time . find the distance between the two stations and the speed of the train after the stop .", + "Output Program": [ + "n0 = 48.0\nn1 = 15.0\nn2 = 53.0\nt0 = n1 / 60.0\nt1 = 2.0 * 3.0\nt2 = n0 + t1\nt3 = t2 * t0\nt4 = t3 / t1\nt5 = n0 * t4\nanswer = t5 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "216" + ], + "split": "train" + }, + { + "Input": "a and b complete a work in 4 days . a alone can do it in 6 days . if both together can do the work in how many days ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "2.4000000000000004" + ], + "split": "train" + }, + { + "Input": "a boat running downstream covers a distance of 20 km in 2 hours while for covering the same distance upstream , it takes 5 hours . what is the speed of the boat in still water ?", + "Output Program": [ + "n0 = 20.0\nn1 = 2.0\nn2 = 5.0\nt0 = n0 / n1\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a and b can together finish a work in 40 days . they worked together for 10 days and then b left . after another 6 days , a finished the remaining work . in how many days a alone can finish the job ?", + "Output Program": [ + "n0 = 40.0\nn1 = 10.0\nn2 = 6.0\nt0 = n0 * n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "what distance will be covered by a bus moving at 72 kmph in 30 seconds ?", + "Output Program": [ + "n0 = 72.0\nn1 = 30.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "600.048" + ], + "split": "train" + }, + { + "Input": "matt and peter can do together a piece of work in 20 days . after they have worked together for 10 days matt stops and peter completes the remaining work in 10 days . in how many days peter complete the work separately .", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 10.0\nt0 = 1.0 / n0\nt1 = n1 * t0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a cistern is filled by pipe a in 8 hours and the full cistern can be leaked out by an exhaust pipe b in 12 hours . if both the pipes are opened , in what time the cistern is full ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "23.999999999999996" + ], + "split": "train" + }, + { + "Input": "a cistern is filled by pipe a in 16 hours and the full cistern can be leaked out by an exhaust pipe b in 20 hours . if both the pipes are opened , in what time the cistern is full ?", + "Output Program": [ + "n0 = 16.0\nn1 = 20.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "80.00000000000001" + ], + "split": "train" + }, + { + "Input": "two pipes can fill a cistern in 14 and 16 hours respectively . the pipes are opened simultaneously and it is found that due to leakage in the bottom , 32 minutes extra are taken for the cistern to be filled up . if the cistern is full , in what time would the leak empty it ?", + "Output Program": [ + "n0 = 14.0\nn1 = 16.0\nn2 = 32.0\nt0 = n0 + n1\nt1 = n1 / 2.0\nt2 = n0 * n1\nt3 = t2 / 2.0\nt4 = t0 / 2.0\nt5 = t4 * t1\nt6 = t5 - t3\nt7 = t3 * t6\nanswer = t7 / t6\nprint(answer)" + ], + "Output Answer": [ + "112" + ], + "split": "train" + }, + { + "Input": "in what time will a train 55 m long cross an electric pole , it its speed be 36 km / hr ?", + "Output Program": [ + "n0 = 55.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "5.4995600351971845" + ], + "split": "train" + }, + { + "Input": "a leak in the bottom of a tank can empty the tank in 6 hrs . an pipe fills water at the rate of 4 ltrs / minute . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hrs . the capacity of the tank is ?", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nn2 = 8.0\nt0 = n0 * n1\nt1 = t0 * 60.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "5760" + ], + "split": "train" + }, + { + "Input": "a train is moving at 6 / 7 of its usual speed . the train is 10 minutes too late . what is the usual time ( in hours ) for the train to complete the journey ?", + "Output Program": [ + "n0 = 6.0\nn1 = 7.0\nn2 = 10.0\nt0 = n0 / n1\nt1 = n2 * t0\nt2 = 1.0 - t0\nt3 = 1 / t2\nt4 = t3 * t1\nanswer = t4 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "0.9999999999999997" + ], + "split": "train" + }, + { + "Input": "the radius of the wheel of a bus is 175 cms and the speed of the bus is 66 km / h , then the r . p . m . ( revolutions per minutes ) of the wheel is", + "Output Program": [ + "n0 = 175.0\nn1 = 66.0\nt0 = n1 * 1000.0\nt1 = 1.0 * 60.0\nt2 = 3.0 * 4.0\nt3 = 2.0 * 4.0\nt4 = n0 * 2.0\nt5 = t2 + 2.0\nt6 = t3 + 2.0\nt7 = t0 * 100.0\nt8 = t7 / t1\nt9 = t6**min(2.0, 5)\nt10 = t5 / t9\nt11 = t10 + 3.0\nt12 = t11 * t4\nanswer = t8 / t12\nprint(answer)" + ], + "Output Answer": [ + "100.09099181073704" + ], + "split": "train" + }, + { + "Input": "how many seconds does sandy take to cover a distance of 500 meters , if sandy runs at a speed of 15 km / hr ?", + "Output Program": [ + "n0 = 500.0\nn1 = 15.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "119.99040076793857" + ], + "split": "train" + }, + { + "Input": "two friends decide to get together ; so they start riding bikes towards each other . they plan to meet halfway . each is riding at 6 mph . they live 36 miles apart . one of them has a pet carrier pigeon and it starts flying the instant the friends start traveling . the pigeon flies back and forth at 12 mph between the 2 friends until the friends meet . how many miles does the pigeon travel ?", + "Output Program": [ + "n0 = 6.0\nn1 = 36.0\nn2 = 12.0\nn3 = 2.0\nt0 = n1 / 2.0\nt1 = t0 / n0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a 300 meter long train crosses a platform in 51 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 51.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "550.0000000000001" + ], + "split": "train" + }, + { + "Input": "on the first day of her vacation , louisa traveled 250 miles . on the second day , traveling at the same average speed , she traveled 350 miles . if the 250 - mile trip took 3 hours less than the 350 - mile trip , what was the average speed , in miles per hour ?", + "Output Program": [ + "n0 = 250.0\nn1 = 350.0\nn2 = 250.0\nn3 = 3.0\nn4 = 350.0\nt0 = n1 - n0\nanswer = t0 / n3\nprint(answer)" + ], + "Output Answer": [ + "33.333333333333336" + ], + "split": "train" + }, + { + "Input": "machine r takes 2 more hours than machine b to make 20 widgets . if working together , the machines can make 25 widgets in 3 hours , how long will it take machine r to make 40 widgets ?", + "Output Program": [ + "n0 = 2.0\nn1 = 20.0\nn2 = 25.0\nn3 = 3.0\nn4 = 40.0\nt0 = n4 - n2\nanswer = t0 - 3.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "points a , b , c , and d , in that order , lie on a line . if ab = 2 cm , ac = 5 cm , and bd = 6 cm , what is cd , in centimeters ?", + "Output Program": [ + "n0 = 2.0\nn1 = 5.0\nn2 = 6.0\n\nanswer = n1 - n0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "renu can do a piece of work in 8 days , but with the help of her friend suma , she can do it in 4 days . in what time suma can do it alone ?", + "Output Program": [ + "n0 = 8.0\nn1 = 4.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 90 km in the first hour and 42 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 90.0\nn1 = 42.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "66" + ], + "split": "train" + }, + { + "Input": "a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 16 seconds . what is the length of the platform in meters ?", + "Output Program": [ + "n0 = 72.0\nn1 = 30.0\nn2 = 16.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nt2 = n1 * t1\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" + ], + "Output Answer": [ + "280" + ], + "split": "train" + }, + { + "Input": "a and b go around a circular track of length 900 m on a cycle at speeds of 36 kmph and 54 kmph . after how much time will they meet for the first time at the starting point ?", + "Output Program": [ + "n0 = 900.0\nn1 = 36.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n1 * 0.2778\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "179.98560115190787" + ], + "split": "train" + }, + { + "Input": "working together , jose and jane can complete an assigned task in 12 days . however , if jose worked alone and complete half the work and then jane takes over the task and completes the second half of the task , the task will be completed in 48 days . how long will jose take to complete the task if he worked alone ? assume that jane is more efficient than jose", + "Output Program": [ + "n0 = 12.0\nn1 = 48.0\n\nanswer = n0 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s . if the circumference of the circle is 180 meters , after what time will they meet at the starting point ?", + "Output Program": [ + "n0 = 7.0\nn1 = 8.0\nn2 = 180.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a crow leaves its nest , and flies back and forth from its nest to a nearby ditch to gather worms . the distance between the nest and the ditch is 200 meters . in one and a half hours , the crow manages to bring worms to its nest 15 times . what is the speed of the crow in kilometers per hour ?", + "Output Program": [ + "n0 = 200.0\nn1 = 15.0\nt0 = n1 / 10.0\nt1 = n1 * 2.0\nt2 = n0 * t1\nt3 = t2 / 1000.0\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "the sum of 4 consecutive even numbers is 36 . find the sum of the squares of these numbers ?", + "Output Program": [ + "n0 = 36.0\nt0 = n0 - 10.0\nt1 = t0 - 2.0\nt2 = t1 / 4.0\nt3 = t2 + 2.0\nt4 = t2**min(2.0, 5)\nt5 = t3 + 2.0\nt6 = t3**min(2.0, 5)\nt7 = t5 + 2.0\nt8 = t4 + t6\nt9 = t5**min(2.0, 5)\nt10 = t7**min(2.0, 5)\nt11 = t9 + t10\nanswer = t11 + t8\nprint(answer)" + ], + "Output Answer": [ + "344" + ], + "split": "train" + }, + { + "Input": "two trains , each 150 m long , moving in opposite directions , cross other in 8 sec . if one is moving twice as fast the other , then the speed of the faster train is ?", + "Output Program": [ + "n0 = 150.0\nn1 = 8.0\nt0 = n0 + n0\nt1 = 1.0 + 2.0\nt2 = n1 * t1\nt3 = t0 / t2\nt4 = t3 * 2.0\nt5 = t4 * 3600.0\nanswer = t5 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a plane flies 420 miles with the wind and 350 miles against the wind in the same length of time . if the speed of the wind is 23 mph , what is the speed of the plain in still air ?", + "Output Program": [ + "n0 = 420.0\nn1 = 350.0\nn2 = 23.0\nt0 = n1 * n2\nt1 = n0 * n2\nt2 = n0 - n1\nt3 = t0 + t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "253" + ], + "split": "train" + }, + { + "Input": "the height of the wall is 6 times its width and lenght of the wall is 7 times its height . if the volume of the wall be 16128 cu . m . its width is", + "Output Program": [ + "n0 = 6.0\nn1 = 7.0\nn2 = 16128.0\nt0 = 1.0 / 3.0\nt1 = n0 * n1\nt2 = n0 * t1\nt3 = n2 / t2\nanswer = t3**min(t0, 5)\nprint(answer)" + ], + "Output Answer": [ + "3.9999999999999996" + ], + "split": "train" + }, + { + "Input": "two stations p and q are 110 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ?", + "Output Program": [ + "n0 = 110.0\nn1 = 7.0\nn2 = 20.0\nn3 = 8.0\nn4 = 25.0\nt0 = n0 + n4\nt1 = n2 + n4\nt2 = t0 / t1\nanswer = n1 + t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "hcf and lcm two numbers are 12 and 396 respectively . if one of the numbers is 36 , then the other number is ?", + "Output Program": [ + "n0 = 12.0\nn1 = 396.0\nn2 = 36.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "132" + ], + "split": "train" + }, + { + "Input": "a carpenter worked alone for 1 day on a job that would take him 6 more days to finish . he and another carpenter completed the job in 7 more days . how many days would it have taken the second carpenter to do the complete job working alone ?", + "Output Program": [ + "n0 = 1.0\nn1 = 6.0\nn2 = 7.0\nt0 = n0 + n1\nt1 = n2 * t0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "24.5" + ], + "split": "train" + }, + { + "Input": "on the first day of her vacation , louisa traveled 240 miles . on the second day , traveling at the same average speed , she traveled 420 miles . if the 240 - mile trip took 3 hours less than the 420 - mile trip , what was the average speed , in miles per hour ?", + "Output Program": [ + "n0 = 240.0\nn1 = 420.0\nn2 = 240.0\nn3 = 3.0\nn4 = 420.0\nt0 = n1 - n0\nanswer = t0 / n3\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "two trains of length 220 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 220.0\nn1 = 280.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "24.9980001599872" + ], + "split": "train" + }, + { + "Input": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 7 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 36.0\nn2 = 7.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "a can do a particular work in 6 days . b can do the same work in 8 days . a and b signed to do it for rs . 3680 . they completed the work in 3 days with the help of c . how much is to be paid to c ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 3680.0\nn3 = 3.0\nt0 = 1.0 / n3\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = t1 + t2\nt4 = t0 - t3\nt5 = n3 * t4\nanswer = n2 * t5\nprint(answer)" + ], + "Output Answer": [ + "460.0000000000002" + ], + "split": "train" + }, + { + "Input": "in what time will a train 100 meters long cross an electric pole , if its speed is 36 km / hr", + "Output Program": [ + "n0 = 100.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "9.99920006399488" + ], + "split": "train" + }, + { + "Input": "each of the three people individually can complete a certain job in 4 , 5 , and 8 hours , respectively . what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 8.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n1\nt1 = n3 / n2\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "0.325" + ], + "split": "train" + }, + { + "Input": "a copy machine , working at a constant rate , makes 25 copies per minute . a second copy machine , working at a constant rate , makes 55 copies per minute . working together at their respective rates , how many copies do the two machines make in half an hour ?", + "Output Program": [ + "n0 = 25.0\nn1 = 55.0\nt0 = n0 + n1\nt1 = t0 * 60.0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2400" + ], + "split": "train" + }, + { + "Input": "a certain automobile company \u2019 s best - selling model is the speedster . the speedster , like all of their other models , comes in coupe and convertible styles . 2 / 3 of the current inventory is speedsters , of which 4 / 5 are convertibles . if there are 40 vehicles that are not speedsters , how many speedster convertibles are there ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 4.0\nn3 = 5.0\nn4 = 40.0\nt0 = n2 / n3\nt1 = n0 / n1\nt2 = 1.0 - t1\nt3 = n4 / t2\nt4 = t3 * t1\nanswer = t0 * t4\nprint(answer)" + ], + "Output Answer": [ + "63.99999999999999" + ], + "split": "train" + }, + { + "Input": "earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops . working together , how long will it take earl and ellen to stuff 180 envelopes", + "Output Program": [ + "n0 = 36.0\nn1 = 180.0\nt0 = 3.0 / 2.0\nt1 = n0 / t0\nt2 = n0 + t1\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "how many pieces of 85 cm length can be cut from a rod of 34 meters long ?", + "Output Program": [ + "n0 = 85.0\nn1 = 34.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 km / hr and crosses a 280 m long platform in 26 sec . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 280.0\nn2 = 26.0\nt0 = n0 / 3600.0\nt1 = t0 * 1000.0\nt2 = n2 * t1\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "a and b finish the job in 15 days . while a , b and c can finish it in 10 days . c alone will finish the job in", + "Output Program": [ + "n0 = 15.0\nn1 = 10.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "how long does a train 165 meters long running at the rate of 36 kmph take to cross a bridge 660 meters in length ?", + "Output Program": [ + "n0 = 165.0\nn1 = 36.0\nn2 = 660.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "82.49340052795776" + ], + "split": "train" + }, + { + "Input": "if 6 cats can kill 6 rats in 6 minutes , how long will it take 100 cats to kill 100 rats ?", + "Output Program": [ + "n0 = 6.0\nn1 = 6.0\nn2 = 6.0\nn3 = 100.0\nn4 = 100.0\n\nanswer = n0 * 1.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "length of a rectangular plot is 30 mtr more than its breadth . if the cost of fencin g the plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 30.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "train" + }, + { + "Input": "a bus covered a distance of 250 km , partly at an average speed of 40 kmph and partly at 60 kmph . if the total time taken is 5 hours , then the distance covered at 40 kmph is", + "Output Program": [ + "n0 = 250.0\nn1 = 40.0\nn2 = 60.0\nn3 = 5.0\nn4 = 40.0\nt0 = n2 * n3\nt1 = n1 - n2\nt2 = -t1\nt3 = t0 - n0\nt4 = t3 / t2\nanswer = n1 * t4\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a 21 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?", + "Output Program": [ + "n0 = 21.0\nn1 = 2.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999998" + ], + "split": "train" + }, + { + "Input": "light glows for every 15 seconds . how many times did it between 1 : 57 : 58 and 3 : 20 : 47 am", + "Output Program": [ + "n0 = 15.0\nn1 = 1.0\nn2 = 57.0\nn3 = 58.0\nn4 = 3.0\nn5 = 20.0\nn6 = 47.0\nt0 = n6 + 2.0\nt1 = 2.0 + 60.0\nt2 = n5 + t1\nt3 = t2 * 60.0\nt4 = t0 + t3\nanswer = t4 / n0\nprint(answer)" + ], + "Output Answer": [ + "331.26666666666665" + ], + "split": "train" + }, + { + "Input": "tanks m and b are each in the shape of a right circular cylinder . the interior of tank m has a height of 10 meters and a circumference of 8 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank m is what percent of the capacity of tank b ?", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nn2 = 8.0\nn3 = 10.0\nt0 = n1 / 2.0\nt1 = n0 / 2.0\nt2 = t0 * t0\nt3 = t1 * t1\nt4 = n0 * t2\nt5 = n1 * t3\nt6 = t4 / t5\nanswer = t6 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long traveling at 72 kmph takes to cross a bridge of 170 m in length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 72.0\nn2 = 170.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "13.998880089592832" + ], + "split": "train" + }, + { + "Input": "ajay can walk 6 km in 1 hour . in how many hours he can walk 45 km ?", + "Output Program": [ + "n0 = 6.0\nn1 = 1.0\nn2 = 45.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "bruce and anne can clean their house in 4 hours working together at their respective constant rates . if anne \u2019 s speed were doubled , they could clean their house in 3 hours working at their respective rates . how many q hours does it currently take anne to clean the house on her own ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 800 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 800.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "47.99616030717543" + ], + "split": "train" + }, + { + "Input": "a 28 cm long wire is to be cut into two pieces so that one piece will be 2.00001 / 5 th of the other , how many centimeters will the shorter piece be ?", + "Output Program": [ + "n0 = 28.0\nn1 = 2.00001\nn2 = 5.0\nt0 = n1 / n2\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "8.000028571387755" + ], + "split": "train" + }, + { + "Input": "a runner runs the 40 miles from marathon to athens at a constant speed . halfway through the run she injures her foot , and continues to run at half her previous speed . if the second half takes her 12 hours longer than the first half , how many hours did it take the runner to run the second half ?", + "Output Program": [ + "n0 = 40.0\nn1 = 12.0\nt0 = n0 / 2.0\nt1 = t0 / n1\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "every day daniel drives 96 miles back from work . on sunday , daniel drove all the way back from work at a constant speed of x miles per hour . on monday , daniel drove the first 32 miles back from work at ( 2 x ) miles per hour , and the rest of the way at ( x / 2 ) miles per hour . the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent ?", + "Output Program": [ + "n0 = 96.0\nn1 = 32.0\nn2 = 2.0\nn3 = 2.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 * n2\nt3 = t0 + t2\nt4 = t3 - n0\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 108 km / hr crosses a pole in 7 seconds . find the length of the train .", + "Output Program": [ + "n0 = 108.0\nn1 = 7.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "210" + ], + "split": "train" + }, + { + "Input": "a train crosses a bridge of length 2500 m in 120 seconds and a lamp post on the bridge in 30 seconds . what is the length of the train in metres ?", + "Output Program": [ + "n0 = 2500.0\nn1 = 120.0\nn2 = 30.0\nt0 = n1 - n2\nt1 = n0 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "833.3333333333334" + ], + "split": "train" + }, + { + "Input": "x can finish a work in 18 days . y can finish the same work in 15 days . yworked for 5 days and left the job . how many days does x alone need to finish the remaining work ?", + "Output Program": [ + "n0 = 18.0\nn1 = 15.0\nn2 = 5.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = n2 * t0\nt3 = 1.0 - t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000002" + ], + "split": "train" + }, + { + "Input": "the diameter of the wheel of a car is 120 m . how many revolution / min mustthe wheel makeing order to keep a speed of 60 km / hour approximately ?", + "Output Program": [ + "n0 = 120.0\nn1 = 60.0\nt0 = 3.0 + 4.0\nt1 = n0 / 100.0\nt2 = n1 * 1000.0\nt3 = 10.0 * 2.0\nt4 = t3 + 2.0\nt5 = t2 / n1\nt6 = t4 / t0\nt7 = t6 * t1\nanswer = t5 / t7\nprint(answer)" + ], + "Output Answer": [ + "265.1515151515152" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 110 metres long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 110.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "265" + ], + "split": "train" + }, + { + "Input": "one hour after yolanda started walking from x to y , a distance of 40 miles , bob started walking along the same road from y to x . if yolanda \u00e2 s walking rate was 2 miles per hour and bob \u00e2 s was 4 miles per hour , how many miles had bob walked when they met ?", + "Output Program": [ + "n0 = 40.0\nn1 = 2.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = n0 - n1\nt2 = t1 / t0\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "25.333333333333332" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 4 2 / 3 days and 5 days respectively . they work together for 1 days and then a leaves . in how many days after that b will complete the work alone .", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 3.0\nn3 = 5.0\nn4 = 1.0\nt0 = 2.0 / 3.0\nt1 = 1 / n3\nt2 = t0 + 4.0\nt3 = 1 / t2\nt4 = t1 + t3\nt5 = 1.0 - t4\nanswer = n3 * t5\nprint(answer)" + ], + "Output Answer": [ + "2.928571428571429" + ], + "split": "train" + }, + { + "Input": "length of a rectangular plot is 20 mtr more than its breadth . if the cost of fencin gthe plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 20.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a train is running at a speed of 40 km / hr and it crosses a post in 17.1 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 40.0\nn1 = 17.1\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "190.01520000000002" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 20 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 20.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "285" + ], + "split": "train" + }, + { + "Input": "working together , jose and jane can complete an assigned task in 20 days . however , if jose worked alone and completed half the work and then jane takes over and completes the second half , the task will be completed in 45 days . how long will jose take to complete the task if he worked alone ? assume that jane is more efficient than jose .", + "Output Program": [ + "n0 = 20.0\nn1 = 45.0\n\nanswer = n0 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a boeing 757 flies a direct route from dallas , tx , to phoenix , az and then returns to dallas , tx . the flight is 900 miles one way . it took 2 hrs and 15 minutes for the flight to phoenix and 2 hrs for the flight back to dallas . what was the speed of the wind in mph ?", + "Output Program": [ + "n0 = 757.0\nn1 = 900.0\nn2 = 2.0\nn3 = 15.0\nn4 = 2.0\nt0 = n1 / n2\nt1 = n3 / 60.0\nt2 = n2 + t1\nt3 = n1 / t2\nt4 = t0 - t3\nanswer = t4 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 5 meters and a circumference of 4 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?", + "Output Program": [ + "n0 = 5.0\nn1 = 4.0\nn2 = 8.0\nn3 = 10.0\nt0 = n0 / n2\nt1 = n1 / n3\nt2 = t1**min(2.0, 5)\nt3 = t0 * t2\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "10.000000000000002" + ], + "split": "train" + }, + { + "Input": "two cars , car 1 and car 2 move towards each other from q and y respectively with respective speeds of 20 m / s and 15 m / s . after meeting each other car 1 reaches y in 10 seconds . in how many seconds does car 2 reach q starting from y ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 20.0\nn3 = 15.0\nn4 = 1.0\nn5 = 10.0\nn6 = 2.0\nt0 = n2 + n3\nt1 = n3 / n2\nt2 = n5 / t1\nt3 = t0 * t2\nanswer = t3 / n3\nprint(answer)" + ], + "Output Answer": [ + "31.11111111111111" + ], + "split": "train" + }, + { + "Input": "the area of a sector of a circle of radius 5 cm formed by an arc of length 4.5 cm is ?", + "Output Program": [ + "n0 = 5.0\nn1 = 4.5\nt0 = 1.0 / 2.0\nt1 = n0 * n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "11.25" + ], + "split": "train" + }, + { + "Input": "find the distance covered by a man walking for 36 min at a speed of 10 km / hr ?", + "Output Program": [ + "n0 = 36.0\nn1 = 10.0\nt0 = n1 * 1000.0\nt1 = t0 / 60.0\nt2 = n0 * t1\nanswer = t2 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a garrison of 1000 men has provisions for 60 days . at the end of 15 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 60.0\nn2 = 15.0\nn3 = 20.0\nt0 = n0 * n1\nt1 = n0 * n2\nt2 = t0 - t1\nt3 = t2 / n3\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "1250" + ], + "split": "train" + }, + { + "Input": "45 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?", + "Output Program": [ + "n0 = 45.0\nn1 = 8.0\nn2 = 30.0\nn3 = 50.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n3 * t1\nt3 = t2 / n4\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "train" + }, + { + "Input": "pipe a that can fill a tank in two hour and pipe b that can fill the tank in an hour are opened simultaneously when the tank is empty . pipe b is shut 30 minutes before the tank overflows . when will the tank overflow ?", + "Output Program": [ + "n0 = 30.0\nt0 = 1.0 / 60.0\nt1 = t0 / 2.0\nt2 = t0 + t1\nt3 = n0 * t1\nt4 = 1.0 - t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a car takes 6 hours to cover a distance of 630 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 630.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "a train travels 325 km in 3.5 hours and 470 km in 4 hours . find the average speed of train ?", + "Output Program": [ + "n0 = 325.0\nn1 = 3.5\nn2 = 470.0\nn3 = 4.0\nt0 = n0 + n2\nt1 = n1 + n3\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "106" + ], + "split": "train" + }, + { + "Input": "speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph . a man rows to a place at a distance of 7560 km and comes back to the starting point . the total time taken by him is :", + "Output Program": [ + "n0 = 16.0\nn1 = 2.0\nn2 = 7560.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "960" + ], + "split": "train" + }, + { + "Input": "excluding the stoppages , the speed of a bus is 32 km / hr and including the stoppages the speed of the bus is 16 km / hr . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 32.0\nn1 = 16.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "if 20 men can build a wall 112 metres long in 6 days , what length of a similar wall can be built by 40 men in 3 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 112.0\nn2 = 6.0\nn3 = 40.0\nn4 = 3.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "112" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 180 km / hr crosses a pole in 8 seconds . find the length of the train .", + "Output Program": [ + "n0 = 180.0\nn1 = 8.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "8 persons can build a wall 140 m long in 42 days . in how many days can 30 persons complete a similar wall 100 m long ?", + "Output Program": [ + "n0 = 8.0\nn1 = 140.0\nn2 = 42.0\nn3 = 30.0\nn4 = 100.0\nt0 = n0 * n2\nt1 = n1 / t0\nt2 = n3 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": ". a car covers a distance of 390 km in 4 hours . find its speed ?", + "Output Program": [ + "n0 = 390.0\nn1 = 4.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "97.5" + ], + "split": "train" + }, + { + "Input": "john left home and drove at the rate of 45 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination . how many miles did john drive ?", + "Output Program": [ + "n0 = 45.0\nn1 = 2.0\nn2 = 3.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "255" + ], + "split": "train" + }, + { + "Input": "a contractor is engaged for 30 days on the condition thathe receives rs . 25 for each day he works & is fined rs . 7.50 for each day is absent . he gets rs . 555 in all . for how many days was he absent ?", + "Output Program": [ + "n0 = 30.0\nn1 = 25.0\nn2 = 7.5\nn3 = 555.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = n3 + t1\nt3 = t2 / t0\nanswer = n0 - t3\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a and b can do a work in 12 days and 36 days respectively . if they work on alternate days beginning with b , in how many days will the work be completed ?", + "Output Program": [ + "n0 = 12.0\nn1 = 36.0\nt0 = 1 / n1\nt1 = 1 / n0\nt2 = t0 + t1\nt3 = 1 / t2\nt4 = n0 + t3\nanswer = t4 - 3.0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a train , 140 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds . the length of the bridge is", + "Output Program": [ + "n0 = 140.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "235.02999999999997" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 30 days ; b can do the same in 30 days . a started alone but left the work after 10 days , then b worked at it for 10 days . c finished the remaining work in 10 days . c alone can do the whole work in ?", + "Output Program": [ + "n0 = 30.0\nn1 = 30.0\nn2 = 10.0\nn3 = 10.0\nn4 = 10.0\nt0 = n2 + n2\nt1 = t0 / n0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "29.999999999999996" + ], + "split": "train" + }, + { + "Input": "the distance between towns a and b is 300 km . one train departs from town a and another train departs from town b , both leaving at the same moment of time and heading towards each other . we know that one of them is 10 km / hr faster than the other . find the speeds of both trains if 2 hours after their departure the distance between them is 40 km .", + "Output Program": [ + "n0 = 300.0\nn1 = 10.0\nn2 = 2.0\nn3 = 40.0\nt0 = n2 + n2\nt1 = n0 - n3\nt2 = t1 / t0\nt3 = t2 - n1\nt4 = t3 - n1\nanswer = t4 + t4\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "how long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length", + "Output Program": [ + "n0 = 165.0\nn1 = 54.0\nn2 = 660.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "54.995600351971845" + ], + "split": "train" + }, + { + "Input": "3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 2 men and 3 women will do that task .", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 6.0\nn3 = 2.0\nn4 = 2.0\nn5 = 3.0\nt0 = n1 - n3\nt1 = n2 - n0\nt2 = t0 / t1\nt3 = n4 * t2\nt4 = n2 * t2\nt5 = n5 + t3\nt6 = n3 + t4\nanswer = t5 / t6\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "find the length of the wire required to go 10 times round a square field containing 53824 m 2 .", + "Output Program": [ + "import math\nn0 = 10.0\nn1 = 53824.0\nn2 = 2.0\nt0 = math.sqrt(n1) # square edge given area\nt1 = 4 * t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "9280" + ], + "split": "train" + }, + { + "Input": "if 7 persons can do 7 times of a particular work in 7 days , then , 9 persons can do 9 times of that work in ?", + "Output Program": [ + "n0 = 7.0\nn1 = 7.0\nn2 = 7.0\nn3 = 9.0\nn4 = 9.0\nt0 = n0 / n3\nt1 = n0 * n0\nt2 = t1 / t0\nanswer = t2 / n3\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a car traveled 75 % of the way from town a to town b at an average speed of 60 miles per hour . the car travels at an average speed of s miles per hour for the remaining part of the trip . the average speed for the entire trip was 40 miles per hour . what is s ?", + "Output Program": [ + "n0 = 75.0\nn1 = 60.0\nn2 = 40.0\nt0 = n1 + n2\nt1 = n0 / n1\nt2 = t0 / n2\nt3 = t0 - n0\nt4 = t2 - t1\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a train is running with a speed of 60 kmph and its length is 110 metres . calculate the time by which it will pass a man running opposite with speed of 6 kmph", + "Output Program": [ + "n0 = 60.0\nn1 = 110.0\nn2 = 6.0\nt0 = n0 + n2\nt1 = t0 * 0.2778\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "5.999520038396929" + ], + "split": "train" + }, + { + "Input": "kim finds a 3 - meter tree branch and marks it off in thirds and fifths . she then breaks the branch along all the markings and removes one piece of every distinct length . what fraction of the original branch remains ?", + "Output Program": [ + "n0 = 3.0\nt0 = 2.0 + 3.0\nt1 = n0 * t0\nt2 = 3.0 / t1\nt3 = 2.0 / t1\nt4 = 1.0 / t1\nt5 = t2 + t3\nt6 = t5 + t4\nanswer = 1.0 - t6\nprint(answer)" + ], + "Output Answer": [ + "0.6" + ], + "split": "train" + }, + { + "Input": "stacy has a 33 page history paper due in 3 days . how many pages per day would she have to write to finish on time ?", + "Output Program": [ + "n0 = 33.0\nn1 = 3.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 50 km / hr crosses a pole in 18 seconds . find the length of the train .", + "Output Program": [ + "n0 = 50.0\nn1 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "train" + }, + { + "Input": "a and b can do a work in 2 days , b and c in 6 days and c and a in 8 days . in how many days will the work be completed , if all three of them work together ?", + "Output Program": [ + "n0 = 2.0\nn1 = 6.0\nn2 = 8.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = t4 / n0\nanswer = 1.0 / t5\nprint(answer)" + ], + "Output Answer": [ + "2.5263157894736845" + ], + "split": "train" + }, + { + "Input": "two trains 250 m and 500 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 250.0\nn1 = 500.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "26.99784017278618" + ], + "split": "train" + }, + { + "Input": "a can finish a piece of work in 4 days . b can do it in 8 days . they work together for two days and then a goes away . in how many days will b finish the work ?", + "Output Program": [ + "n0 = 4.0\nn1 = 8.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 * 2.0\nt3 = t1 * 2.0\nt4 = t2 + t3\nt5 = 1.0 - t4\nanswer = t5 / t1\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a train is 360 meter long is running at a speed of 72 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 360.0\nn1 = 72.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a bullet train 220 m long is running with a speed of 59 kmph . in what time will it pass a man who is running at 7 kmph in the direction opposite to that in which the bullet train is going ?", + "Output Program": [ + "n0 = 220.0\nn1 = 59.0\nn2 = 7.0\nt0 = n1 + n2\nt1 = t0 * 1000.0\nt2 = t1 / 3600.0\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "the spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls . the diameters of two of these are 1 \u00bd cm and 2 cm respectively . the diameter of third ball is ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 1.0\nn3 = 2.0\nt0 = n0 / n3\nt1 = n2 / n3\nt2 = 1 / n0\nt3 = n2 + t1\nt4 = t0**min(3.0, 5)\nt5 = t3 / n3\nt6 = t5**min(3.0, 5)\nt7 = t4 - t6\nt8 = t7 - n2\nt9 = t8**min(t2, 5)\nanswer = t9 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "train" + }, + { + "Input": "if the speed of a man is 51 km per hour , then what is the distance traveled by him in 30 seconds ?", + "Output Program": [ + "n0 = 51.0\nn1 = 30.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "425.034" + ], + "split": "train" + }, + { + "Input": "if 20 typists can type 46 letters in 20 minutes , then how many letters will 30 typists working at the same rate complete in 1 hour ?", + "Output Program": [ + "n0 = 20.0\nn1 = 46.0\nn2 = 20.0\nn3 = 30.0\nn4 = 1.0\nt0 = n1 * 3.0\nt1 = t0 / n0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "207" + ], + "split": "train" + }, + { + "Input": "a train running at a speed of 36 km / h passes an electric pole in 15 seconds . in how many seconds will the whole train pass a 380 - meter long platform ?", + "Output Program": [ + "n0 = 36.0\nn1 = 15.0\nn2 = 380.0\nt0 = n0 * 0.2778\nt1 = n1 * t0\nt2 = n2 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "52.99696024318054" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 21 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 21.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "darcy lives 1.5 miles from work . she can walk to work at a constant rate of 3 miles per hour , or she can ride the train to work at a constant rate of 20 miles per hour . if she rides the train , there is an additional x minutes spent walking to the nearest train station , waiting for the train , and walking from the final train station to her work . if it takes darcy a total of 15 more minutes to commute to work by walking than it takes her to commute to work by riding the train , what is the value of x ?", + "Output Program": [ + "n0 = 1.5\nn1 = 3.0\nn2 = 20.0\nn3 = 15.0\nt0 = 60.0 / 2.0\nt1 = n2 / n0\nt2 = 60.0 / t1\nt3 = t0 - n3\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "10.5" + ], + "split": "train" + }, + { + "Input": "in what time will a train 120 meters long completely pass an electric pole , if it travels at a speed of 60 kmph .", + "Output Program": [ + "n0 = 120.0\nn1 = 60.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "7.199424046076314" + ], + "split": "train" + }, + { + "Input": "workers at a campaign office have 1000 fliers to send out . if they send out 1 / 5 of them in the morning and 1 / 4 of the remaining ones out during the afternoon , how many are left for the next day ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 1.0\nn2 = 5.0\nn3 = 1.0\nn4 = 4.0\nt0 = n0 / n2\nt1 = n0 - t0\nt2 = t1 / n4\nanswer = t1 - t2\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "a boy is travelling from his home to school at 5 km / hr and reached 5 min late . next day he travelled at 10 km / hr and reached 10 min early . distance between home and school ?", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 10.0\nn3 = 10.0\nt0 = n1 / 60.0\nt1 = n3 / 60.0\nt2 = 1.0 / n2\nt3 = t0 + t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 16 km / hr in still water . if the rate of stream is 5 km / hr , then find the time taken by the boat to cover distance of 168 km downstream .", + "Output Program": [ + "n0 = 16.0\nn1 = 5.0\nn2 = 168.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a cube of side one meter length is cut into small cubes of side 10 cm each . how many such small cubes can be obtained ?", + "Output Program": [ + "n0 = 10.0\nt0 = n0**min(2.0, 5)\nt1 = n0**min(3.0, 5)\nt2 = t0**min(3.0, 5)\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "1000" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 200 resolutions .", + "Output Program": [ + "n0 = 22.4\nn1 = 200.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "281.59999999999997" + ], + "split": "train" + }, + { + "Input": "if 8 workers can build 8 cars in 8 days , then how many days would it take 7 workers to build 7 cars ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 8.0\nn3 = 7.0\nn4 = 7.0\nt0 = n3 / n3\nt1 = n0 * n0\nt2 = t1 / n0\nanswer = t2 * t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route . they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up , but the time each route will take is the same . if they will go up the mountain at a rate of 8 miles per day and it will take them two days , how many miles long is the route down the mountain ?", + "Output Program": [ + "n0 = 8.0\nt0 = 3.0 / 2.0\nt1 = n0 * 2.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 9 seconds . find the length of the train .", + "Output Program": [ + "n0 = 60.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "a , b and c completed a piece of work , a worked for 6 days , b for 9 days and c for 4 days . their daily wages were in the ratio of 3 : 4 : 5 . find the daily wages of c , if their total earning was rs . 1702 ?", + "Output Program": [ + "n0 = 6.0\nn1 = 9.0\nn2 = 4.0\nn3 = 3.0\nn4 = 4.0\nn5 = 5.0\nn6 = 1702.0\nt0 = n0 * n3\nt1 = n1 * n2\nt2 = n2 * n5\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = n6 / t4\nanswer = n5 * t5\nprint(answer)" + ], + "Output Answer": [ + "115" + ], + "split": "train" + }, + { + "Input": "a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 18 kilometers per hour . the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate . how many minutes must the cyclist wait until the hiker catches up ?", + "Output Program": [ + "n0 = 4.0\nn1 = 18.0\nn2 = 5.0\nt0 = n2 / 60.0\nt1 = n1 * t0\nt2 = n0 * t0\nt3 = t1 - t2\nt4 = t3 / n0\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "17.5" + ], + "split": "train" + }, + { + "Input": "an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 26 metre of cloth ?", + "Output Program": [ + "n0 = 0.128\nn1 = 26.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "203.125" + ], + "split": "train" + }, + { + "Input": "a driver goes on a trip of 70 kilometers , the first 35 kilometers at 48 kilometers per hour and the remaining distance at 24 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ?", + "Output Program": [ + "n0 = 70.0\nn1 = 35.0\nn2 = 48.0\nn3 = 24.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 / n3\nt3 = t0 + t2\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 40 days ; b can do the same in 40 days . a started alone but left the work after 10 days , then b worked at it for 10 days . c finished the remaining work in 10 days . c alone can do the whole work in ?", + "Output Program": [ + "n0 = 40.0\nn1 = 40.0\nn2 = 10.0\nn3 = 10.0\nn4 = 10.0\nt0 = n2 + n2\nt1 = t0 / n0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "in a 280 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is :", + "Output Program": [ + "n0 = 280.0\nn1 = 56.0\nn2 = 7.0\nt0 = n2 / n1\nt1 = n0 * t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 80 meters or 10 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 80.0\nn1 = 10.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "115" + ], + "split": "train" + }, + { + "Input": "stacy and heather are 10 miles apart and walk towards each other along the same route . stacy walks at constant rate that is 1 mile per hour fast than heather ' s constant rate of 5 miles / hour . if heather starts her journey 24 minutes after stacy , how far from the original destination has heather walked when the two meet ? .", + "Output Program": [ + "n0 = 10.0\nn1 = 1.0\nn2 = 5.0\nn3 = 24.0\nt0 = n1 + n2\nt1 = n2 + t0\nt2 = t0 / 60.0\nt3 = n3 * t2\nt4 = n0 - t3\nt5 = t4 / t1\nanswer = n2 * t5\nprint(answer)" + ], + "Output Answer": [ + "3.4545454545454546" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 26 kmph and downstream at 40 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 26.0\nn1 = 40.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "train" + }, + { + "Input": "the length of a side of a hexagon is 5 inches . what is the perimeter ?", + "Output Program": [ + "n0 = 5.0\nt0 = 2.0 * 3.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "two friends deepak and rajeev have agreed to meet at a definite spot on a particular day between 9 pm and 10 pm . the first person to come waits for some time and leaves . if the other one does not turn up by that time . if deepak comes first , he waits for 45 minutes and if rajeev comes first , he waits for 15 minutes . what is the probability of meeting between deepak and rajeev if their arrival times are independent of eachother and each person arrives during the indicated period at random ?", + "Output Program": [ + "n0 = 9.0\nn1 = 10.0\nn2 = 45.0\nn3 = 15.0\nt0 = n2 / 60.0\nt1 = n3 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "0.1875" + ], + "split": "train" + }, + { + "Input": "a take twice as much time as b or thrice as much time to finish a piece of work . working together , they can finish the work in 6 days . b can do the work alone in ?", + "Output Program": [ + "n0 = 6.0\nt0 = 1.0 + 2.0\nt1 = t0 + 3.0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a train running at a speed of 36 km / h passes an electric pole in 14 seconds . in how many seconds will the whole train pass a 350 - meter long platform ?", + "Output Program": [ + "n0 = 36.0\nn1 = 14.0\nn2 = 350.0\nt0 = n0 * 0.2778\nt1 = n1 * t0\nt2 = n2 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "48.997200223982084" + ], + "split": "train" + }, + { + "Input": "a train is 560 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 560.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "56" + ], + "split": "train" + }, + { + "Input": "the distance from steve ' s house to work is 28 km . on the way back steve drives twice as fast as he did on the way to work . altogether , steve is spending 6 hours a day on the roads . what is steve ' s speed on the way back from work ?", + "Output Program": [ + "n0 = 28.0\nn1 = 6.0\nt0 = n0 / 2.0\nt1 = n0 + t0\nt2 = t1 / n1\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "the sum of four consecutive even numbers is 36 . find the sum of the squares of these numbers ?", + "Output Program": [ + "n0 = 36.0\nt0 = n0 - 10.0\nt1 = t0 - 2.0\nt2 = t1 / 4.0\nt3 = t2 + 2.0\nt4 = t2**min(2.0, 5)\nt5 = t3 + 2.0\nt6 = t3**min(2.0, 5)\nt7 = t5 + 2.0\nt8 = t4 + t6\nt9 = t5**min(2.0, 5)\nt10 = t7**min(2.0, 5)\nt11 = t9 + t10\nanswer = t11 + t8\nprint(answer)" + ], + "Output Answer": [ + "344" + ], + "split": "train" + }, + { + "Input": "p is 40 % more efficient than q . p can complete a work in 24 days . if p and q work together , how many days will it take to complete the same work ?", + "Output Program": [ + "n0 = 40.0\nn1 = 24.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 + 1.0\nt3 = n1 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "13.999999999999998" + ], + "split": "train" + }, + { + "Input": "a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late . had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late . what is the speed y of the train .", + "Output Program": [ + "n0 = 50.0\nn1 = 3.0\nn2 = 4.0\nn3 = 35.0\nn4 = 24.0\nn5 = 25.0\nt0 = n2 * n4\nt1 = n3 - n5\nt2 = n0 + t1\nt3 = t0 / n1\nt4 = t2 / t1\nt5 = t3 - n4\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 10 days , b and c in 5 days , c and a in 15 days . how long will c take to do it ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nn2 = 15.0\nt0 = n0 * 3.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t5 / 2.0\nt7 = t6 - t1\nanswer = t0 / t7\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "20 men do a work in 20 days . how many men are needed to finish the work in 4 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 20.0\nn2 = 4.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "johnny makes $ 7.35 per hour at his work . if he works 6 hours , how much money will he earn ?", + "Output Program": [ + "n0 = 4.75\nn1 = 6.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "28.5" + ], + "split": "train" + }, + { + "Input": "what is the greatest of 3 consecutive integers whose sum is 21 ?", + "Output Program": [ + "n0 = 3.0\nn1 = 21.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "speed of a boat in standing water is 8 kmph and the speed of the stream is 2 kmph . a man rows to place at a distance of 210 km and comes back to the starting point . the total time taken by him is :", + "Output Program": [ + "n0 = 8.0\nn1 = 2.0\nn2 = 210.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "56" + ], + "split": "train" + }, + { + "Input": "find the expenditure on digging a well 14 m deep and of 3 m diameter at rs . 17 per cubic meter ?", + "Output Program": [ + "import math\nn0 = 14.0\nn1 = 3.0\nn2 = 17.0\nt0 = n1 / 2.0\nt1 = math.pi * t0**2 * n0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "1682.3228659973342" + ], + "split": "train" + }, + { + "Input": "a train 275 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 275.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "14.998800095992323" + ], + "split": "train" + }, + { + "Input": "the cyclist walking at a constant rate of 15 miles per hour is passed by a car traveling in the same direction along the same path at 60 miles per hour . the car stops to wait for the cyclist for 6 minutes after passing her , while the cyclist continues to go at her constant rate , how many minutes must the car wait until the cyclist catches up ?", + "Output Program": [ + "n0 = 15.0\nn1 = 60.0\nn2 = 6.0\nt0 = n2 / 60.0\nt1 = n1 - n0\nt2 = t0 * t1\nt3 = t2 / n0\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a cubical tank is filled with water to a level of 1 foot . if the water in the tank occupies 16 cubic feet , to what fraction of its capacity is the tank filled with water ?", + "Output Program": [ + "import math\nn0 = 1.0\nn1 = 16.0\nt0 = math.sqrt(max(0, n1))\nt1 = t0**3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.25" + ], + "split": "train" + }, + { + "Input": "two trains 131 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 131.0\nn1 = 165.0\nn2 = 80.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.348377647029618" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 120 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 120.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "255" + ], + "split": "train" + }, + { + "Input": "the area of a sector of a circle of radius 5 cm formed by an arc of length 3.5 cm is ?", + "Output Program": [ + "n0 = 5.0\nn1 = 3.5\nt0 = 1.0 / 2.0\nt1 = n0 * n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "8.75" + ], + "split": "train" + }, + { + "Input": "a certain car uses 12 gallons of gasoline in traveling 180 miles . in order for the car to travel the same distance using 10 gallons of gasoline , by how many miles per gallon must the car \u2019 s gas mileage be increased ?", + "Output Program": [ + "n0 = 12.0\nn1 = 180.0\nn2 = 10.0\nt0 = n1 / n2\nt1 = n1 / n0\nanswer = t0 - t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "49 pumps can empty a reservoir in 13 / 2 days , working 8 hours a day . if 196 pumps are used for 5 hours each day , then the same work will be completed in :", + "Output Program": [ + "n0 = 49.0\nn1 = 13.0\nn2 = 2.0\nn3 = 8.0\nn4 = 196.0\nn5 = 5.0\nt0 = n1 / n2\nt1 = n0 / n4\nt2 = n3 / n5\nt3 = t1 * t2\nanswer = t0 * t3\nprint(answer)" + ], + "Output Answer": [ + "2.6" + ], + "split": "train" + }, + { + "Input": "a courtyard is 18 meter long and 12 meter board is to be paved with bricks of dimensions 12 cm by 6 cm . the total number of bricks required is :", + "Output Program": [ + "n0 = 18.0\nn1 = 12.0\nn2 = 12.0\nn3 = 6.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n2 * n3\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "30000" + ], + "split": "train" + }, + { + "Input": "a boat moves down stream at the rate of 1 km in 6 minutes and upstream at the rate of 1 km in 10 minutes . the speed of current is", + "Output Program": [ + "n0 = 1.0\nn1 = 6.0\nn2 = 1.0\nn3 = 10.0\nt0 = n1 / 60.0\nt1 = n3 / 60.0\nt2 = n0 / t0\nt3 = n0 / t1\nt4 = t2 - t3\nanswer = t4 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 3 hours . due to a leak at the bottom , it takes 9 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?", + "Output Program": [ + "n0 = 3.0\nn1 = 9.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 4.8 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 4.8\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "24.67964473723101" + ], + "split": "train" + }, + { + "Input": "a man can row a distance of 5 km in 60 min with the help of the tide . the direction of the tide reverses with the same speed . now he travels a further 40 km in 10 hours . how much time he would have saved if the direction of tide has not changed ?", + "Output Program": [ + "n0 = 5.0\nn1 = 60.0\nn2 = 40.0\nn3 = 10.0\nt0 = n2 / n0\nanswer = n3 - t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "machine a and machine b process the same work at different rates . machine c processes work as fast as machines a and b combined . machine d processes work 3 times as fast as machine c ; machine d \u2019 s work rate is also exactly 4 times machine b \u2019 s rate . assume all 4 machines work at fixed unchanging rates . if machine a works alone on a job , it takes 6 hours and 20 minutes . if all 4 machines work together on the same job simultaneously , how many minutes will it take all of them to complete it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 4.0\nn3 = 6.0\nn4 = 20.0\nn5 = 4.0\nt0 = n0 + 1.0\nt1 = n3 * 60.0\nt2 = n4 + t1\nt3 = t0 + t0\nt4 = n0 * t0\nt5 = t3 + t4\nanswer = t2 / t5\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "cole drove from home to work at an average speed of 60 kmh . he then returned home at an average speed of 90 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ?", + "Output Program": [ + "n0 = 60.0\nn1 = 90.0\nn2 = 2.0\nt0 = n0 + n1\nt1 = n1 * n2\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "two persons a and b can complete a piece of work in 30 days and 60 days respectively . if they work together , what part of the work will be completed in 10 days ?", + "Output Program": [ + "n0 = 30.0\nn1 = 60.0\nn2 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "by travelling at 30 kmph , a person reaches his destination on time . he covered two - third the total distance in one - third of the total time . what speed should he maintain for the remaining distance to reach his destination on time ?", + "Output Program": [ + "n0 = 30.0\nt0 = n0 * 3.0\nt1 = 3.0 - 1.0\nt2 = t0 * 2.0\nt3 = t2 / 3.0\nt4 = t0 - t3\nanswer = t4 / t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "susan drove an average speed of 15 miles per hour for the first 40 miles of a tripthen at a average speed of 60 miles / hr for the remaining 20 miles of the trip if she made no stops during the trip what was susan ' s avg speed in miles / hr for the entire trip", + "Output Program": [ + "n0 = 15.0\nn1 = 40.0\nn2 = 60.0\nn3 = 20.0\nt0 = n1 + n3\nt1 = n1 / n0\nt2 = n3 / n2\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "the perimeter of a semi circle is 113 cm then the radius is ?", + "Output Program": [ + "n0 = 113.0\nt0 = 2.0 + 3.141592653589793\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "21.977625925131363" + ], + "split": "train" + }, + { + "Input": "a boat having a length 4 m and breadth 3 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "a train 450 m long running at 108 kmph crosses a platform in 25 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 450.0\nn1 = 108.0\nn2 = 25.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "300.05999999999995" + ], + "split": "train" + }, + { + "Input": "a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 1200 m long ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 120.0\nn2 = 1200.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "a 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform .", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "a and b go around a circular track of length 100 m on a cycle at speeds of 18 kmph and 36 kmph . after how much time will they meet for the first time at the starting point ?", + "Output Program": [ + "n0 = 100.0\nn1 = 18.0\nn2 = 36.0\nt0 = n2 * 0.2778\nt1 = n1 * 0.2778\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "19.99840012798976" + ], + "split": "train" + }, + { + "Input": "tom drives from town q to town b , driving at a constant speed of 60 miles per hour . from town b tom immediately continues to town c . the distance between q and b is twice the distance between b and c . if the average speed of the whole journey was 36 mph , then what is tom ' s speed driving from b to c in miles per hour ?", + "Output Program": [ + "n0 = 60.0\nn1 = 36.0\nt0 = n0 * n1\nt1 = n1 * 3.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "375 metres long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees", + "Output Program": [ + "n0 = 375.0\nn1 = 26.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a courtyard is 18 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm . the total number of bricks required is ?", + "Output Program": [ + "n0 = 18.0\nn1 = 16.0\nn2 = 20.0\nn3 = 10.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n2 * n3\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "14400" + ], + "split": "train" + }, + { + "Input": "a can finish a work in 21 days and b can do the same work in 15 days . b worked for 10 days and left the job . in how many days , a alone can finish the remaining work ?", + "Output Program": [ + "n0 = 21.0\nn1 = 15.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = n2 * t0\nt2 = n0 * t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of man is :", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a machine , working at a constant rate , manufactures 20 candles in 40 minutes . how many candles does it make in 1 hr 20 min ?", + "Output Program": [ + "n0 = 20.0\nn1 = 40.0\nn2 = 1.0\nn3 = 20.0\nt0 = n2 * 60.0\nt1 = n3 + t0\nt2 = t1 / n1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a person can swim in still water at 4 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 8 km ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 8.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a person travels equal distances with speeds of 5 km / hr , 10 km / hr , 15 km / hr . and takes a total time of 11 minutes . find the total distance ?", + "Output Program": [ + "n0 = 5.0\nn1 = 10.0\nn2 = 15.0\nn3 = 11.0\nt0 = n3 / 60.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = 1.0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t0 / t5\nt7 = t6 * 3.0\nanswer = t7 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "1499.9999999999998" + ], + "split": "train" + }, + { + "Input": "two trains 140 m and 160 m long run at the speed of 60 kmph and 48 kmph in opposite directions in parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 140.0\nn1 = 160.0\nn2 = 60.0\nn3 = 48.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "9.99920006399488" + ], + "split": "train" + }, + { + "Input": "joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 4 of all the paint . during the second week , he uses 1 / 7 of the remaining paint . how many gallons of paint has joe used ?", + "Output Program": [ + "n0 = 360.0\nn1 = 1.0\nn2 = 4.0\nn3 = 1.0\nn4 = 7.0\nt0 = n0 / n2\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n4\nanswer = t3 + t1\nprint(answer)" + ], + "Output Answer": [ + "128.57142857142856" + ], + "split": "train" + }, + { + "Input": "16 boys or 24 girls can construct the wall in 6 days . the number of days that 16 boys and 12 girls will take to construct ?", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nn2 = 6.0\nn3 = 16.0\nn4 = 12.0\nt0 = 1.0 / n2\nt1 = t0 / n1\nt2 = t0 / n0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t3 + t4\nanswer = 1.0 / t5\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 33 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 33.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "train" + }, + { + "Input": "youseff lives x blocks from his office . it takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work . it is takes him exactly 14 minutes more to walk to work than to ride his bike to work , then x equals ?", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 14.0\nt0 = n2 * 3.0\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "an woman sitting in a train which is travelling at 25 kmph observes that a goods train travelling in a opposite direction , takes 3 seconds to pass him . if the goods train is 140 m long , find its speed .", + "Output Program": [ + "n0 = 25.0\nn1 = 3.0\nn2 = 140.0\nt0 = n2 / n1\nt1 = t0 / 0.2778\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "142.986561075114" + ], + "split": "train" + }, + { + "Input": "on a trip , a cyclist averaged 12 miles per hour for the first 18 miles and 10 miles per hour for the remaining 18 miles . if the cyclist returned immediately via the same route and took a total of 7.3 hours for the round trip , what was the average speed ( in miles per hour ) for the return trip ?", + "Output Program": [ + "n0 = 12.0\nn1 = 18.0\nn2 = 10.0\nn3 = 18.0\nn4 = 7.3\nt0 = n1 + n3\nt1 = n1 / n0\nt2 = n3 / n2\nt3 = t1 + t2\nt4 = n4 - t3\nanswer = t0 / t4\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "in covering a distance of 30 km , arun takes 2 hours more than anil . if arun doubles his speed , then he would take 1 hour less than anil . what is arun ' s speed ?", + "Output Program": [ + "n0 = 30.0\nn1 = 2.0\nn2 = 1.0\nt0 = n2 + 2.0\nt1 = t0 * 2.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "the racing magic takes 150 seconds to circle the racing track once . the charging bull makes 40 rounds of the track in an hour . if they left the starting point together , how many minutes will it take for them to meet at the starting point for the second time ?", + "Output Program": [ + "n0 = 150.0\nn1 = 40.0\nt0 = n0 / n1\nt1 = t0 * n0\nt2 = t1 * 2.0\nt3 = t2 / n0\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "along a yard 434 metres long , 32 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between two consecutive trees", + "Output Program": [ + "n0 = 434.0\nn1 = 32.0\nt0 = n1 - 1.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "renu can do a piece of work in 6 days , but with the help of her friend suma , she can do it in 4 days . in what time suma can do it alone ?", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999998" + ], + "split": "train" + }, + { + "Input": "working at their respective constant rates , machine a makes 100 copies in 8 minutes and machine b makes 150 copies in 10 minutes . if these machines work simultaneously at their respective rates for 30 minutes , what is the total number of copies that they will produce ?", + "Output Program": [ + "n0 = 100.0\nn1 = 8.0\nn2 = 150.0\nn3 = 10.0\nn4 = 30.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 + t1\nanswer = n4 * t2\nprint(answer)" + ], + "Output Answer": [ + "825" + ], + "split": "train" + }, + { + "Input": "a bicycle wheel has a diameter of 0.61 m . how many complete revolutions does it make in 1 km ?", + "Output Program": [ + "n0 = 0.61\nn1 = 1.0\nt0 = n1 * 1000.0\nt1 = 3.0 * 4.0\nt2 = 2.0 * 4.0\nt3 = t1 + 2.0\nt4 = t2 + 2.0\nt5 = t4**min(2.0, 5)\nt6 = t3 / t5\nt7 = t6 + 3.0\nt8 = n0 * t7\nanswer = t0 / t8\nprint(answer)" + ], + "Output Answer": [ + "522.0841599665866" + ], + "split": "train" + }, + { + "Input": "a man is standing on a railway bridge which is 180 m long . he finds that a train crosses the bridge in 20 seconds but himself in 8 seconds . find the length of the train and its speed .", + "Output Program": [ + "n0 = 180.0\nn1 = 20.0\nn2 = 8.0\nt0 = n0 / n1\nt1 = 1 / n2\nt2 = 1 / n1\nt3 = t1 - t2\nt4 = t0 / t3\nanswer = t4 / n2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "tim and \u00e9 lan are 120 miles away from one another . they are starting to move towards each other simultaneously , tim at a speed of 10 mph and \u00e9 lan at a speed of 5 mph . if every hour they double their speeds , what is the distance that tim will pass until he meets \u00e9 lan ?", + "Output Program": [ + "n0 = 120.0\nn1 = 10.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "a train is 360 meter long is running at a speed of 36 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 360.0\nn1 = 36.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 770 m long train take to cross a man walking with a speed of 2.5 km / hr in the direction of the moving train if the speed of the train is 46.5 km / hr ?", + "Output Program": [ + "n0 = 770.0\nn1 = 2.5\nn2 = 46.5\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "62.994960403167745" + ], + "split": "train" + }, + { + "Input": "two trains of equal length , running with the speeds of 60 and 40 kmph , take 36 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 * 0.2778\nt3 = t1 * 0.2778\nt4 = 1 / t2\nt5 = n2 * t3\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "7.200000000000001" + ], + "split": "train" + }, + { + "Input": "one hour after adrienne started walking the 60 miles from x to y , harold started walking from x to y as well . adrienne walks 3 miles per hour and harold walks 1 mile per hour faster than adrienne . how far from x will harold be when he catches up to adrienne ?", + "Output Program": [ + "n0 = 60.0\nn1 = 3.0\nn2 = 1.0\nt0 = n1 + n2\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 20 kmph and downstream at 60 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 20.0\nn1 = 60.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a person travels equal distances with speeds of 6 km / hr , 12 km / hr , 18 km / hr . and takes a total time of 11 minutes . find the total distance ?", + "Output Program": [ + "n0 = 6.0\nn1 = 12.0\nn2 = 18.0\nn3 = 11.0\nt0 = n3 / 60.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = 1.0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t0 / t5\nt7 = t6 * 3.0\nanswer = t7 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "1799.9999999999995" + ], + "split": "train" + }, + { + "Input": "working alone at its constant rate , machine a produces x boxes in 10 minutes and working alone at its constant rate , machine b produces 2 x boxes in 5 minutes . how many minutes does it take machines a and b , working simultaneously at their respective constant rates , to produce 5 x boxes ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 5.0\nn3 = 5.0\nt0 = n0 * n3\nt1 = n0 * n1\nt2 = n0 / n0\nt3 = t1 / n2\nt4 = t2 + t3\nanswer = t0 / t4\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "two trains 180 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 180.0\nn1 = 160.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "12.239020878329734" + ], + "split": "train" + }, + { + "Input": "a train passes a man standing on a platform in 8 seconds and also crosses the platform which is 267 metres long in 20 seconds . the length of the train ( in metres ) is :", + "Output Program": [ + "n0 = 8.0\nn1 = 267.0\nn2 = 20.0\nt0 = n2 - n0\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "178" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 120 meters long take to cross a bridge 200 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 120.0\nn1 = 200.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "31.99744020478362" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 20 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 36 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", + "Output Program": [ + "n0 = 20.0\nn1 = 1.0\nn2 = 1.0\nn3 = 36.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "working at a constant rate , p can finish a job in 3 hours . q , also working at a constant rate , can finish the same job in 15 hours . if they work together for 2 hours , how many more minutes will it take p to finish the job , working alone at his constant rate ?", + "Output Program": [ + "n0 = 3.0\nn1 = 15.0\nn2 = 2.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nt3 = t2 * 2.0\nt4 = 1.0 - t3\nt5 = t4 / t0\nanswer = t5 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "36.000000000000014" + ], + "split": "train" + }, + { + "Input": "worker a takes 10 hours to do a job . worker b takes 15 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 620 metre long train take to cross a man running with a speed of 8 km / hr in the direction of the moving train if the speed of the train is 80 km / hr ?", + "Output Program": [ + "n0 = 620.0\nn1 = 8.0\nn2 = 80.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "30.99752019838413" + ], + "split": "train" + }, + { + "Input": "a person is traveling at 40 km / hr and reached his destiny in 6 hr then find the distance ?", + "Output Program": [ + "n0 = 40.0\nn1 = 6.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "the distance from steve ' s house to work is 30 km . on the way back steve drives twice as fast as he did on the way to work . altogether , steve is spending 6 hours a day on the roads . what is steve ' s speed on the way back from work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 6.0\nt0 = n0 / 2.0\nt1 = n0 + t0\nt2 = t1 / n1\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "how many times in a day the hands of a clock are straight ?", + "Output Program": [ + "t0 = 12.0 * 2.0\nt1 = t0 * 2.0\nt2 = t1 - 4.0\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "twelve machines , each working at the same constant rate , together can complete a certain job in 12 days . how many additional machines , each working at the same constant rate , will be needed to complete the job in 8 days ?", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nt0 = n1 / n0\nt1 = 1 / t0\nt2 = n0 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "x is able to do a piece of work in 14 days and y can do the same work in 20 days . if they can work together for 5 days , what is the fraction of work completed ?", + "Output Program": [ + "n0 = 14.0\nn1 = 20.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = t1 / t0\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.6071428571428572" + ], + "split": "train" + }, + { + "Input": "while working alone at their constant rates , computer x can process 240 files in 4 hours , and computer y can process 240 files in 6 hours . if all files processed by these computers are the same size , how many hours would it take the two computers , working at the same time at their respective constant rates , to process a total of 240 files ?", + "Output Program": [ + "n0 = 240.0\nn1 = 4.0\nn2 = 240.0\nn3 = 6.0\nn4 = 240.0\nt0 = n0 / n1\nt1 = n0 / n3\nt2 = t0 + t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "2.4" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 7 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 4.0\nn1 = 7.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "9.333333333333332" + ], + "split": "train" + }, + { + "Input": "an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 24 metre of cloth ?", + "Output Program": [ + "n0 = 0.128\nn1 = 24.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "187.5" + ], + "split": "train" + }, + { + "Input": "at a loading dock , each worker on the night crew loaded 1 / 4 as many boxes as each worker on the day crew . if the night crew has 4 / 5 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ?", + "Output Program": [ + "n0 = 1.0\nn1 = 4.0\nn2 = 4.0\nn3 = 5.0\nt0 = n1 * n3\nt1 = n0 * n2\nt2 = t0 + t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.8333333333333334" + ], + "split": "train" + }, + { + "Input": "a jeep takes 7 hours to cover a distance of 420 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 7.0\nn1 = 420.0\nn2 = 3.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "if an object travels 400 feet in 4 seconds , what is the object ' s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 400.0\nn1 = 4.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 / n3\nt1 = n2 / 3600.0\nt2 = n1 * t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "68.18181818181819" + ], + "split": "train" + }, + { + "Input": "cole drove from home to work at an average speed of 80 kmh . he then returned home at an average speed of 120 kmh . if the round trip took a total of 3 hours , how many minutes did it take cole to drive to work ?", + "Output Program": [ + "n0 = 80.0\nn1 = 120.0\nn2 = 3.0\nt0 = n0 + n1\nt1 = n1 * n2\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "108" + ], + "split": "train" + }, + { + "Input": "the reciprocal of the hcf and lcm of two are 1 / 16 and 1 / 312 . if one of the number is 24 then other no . is", + "Output Program": [ + "n0 = 1.0\nn1 = 16.0\nn2 = 1.0\nn3 = 312.0\nn4 = 24.0\nt0 = n1 * n3\nanswer = t0 / n4\nprint(answer)" + ], + "Output Answer": [ + "208" + ], + "split": "train" + }, + { + "Input": "360 metres long yard , 31 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees", + "Output Program": [ + "n0 = 360.0\nn1 = 31.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 80 km / hr crosses a pole in 9 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 80.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "paul completes a piece of work in 80 days , rose completes the same work in 120 days . if both of them work together , then the number of days required to complete the work is ?", + "Output Program": [ + "n0 = 80.0\nn1 = 120.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "47.99999999999999" + ], + "split": "train" + }, + { + "Input": "at a loading dock , each worker on the night crew loaded 3 / 4 as many boxes as each worker on the day crew . if the night crew has 2 / 3 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 2.0\nn3 = 3.0\nt0 = n1 * n3\nt1 = n0 * n2\nt2 = t0 + t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.6666666666666666" + ], + "split": "train" + }, + { + "Input": "a river 3 m deep and 36 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 3.0\nn1 = 36.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "3600" + ], + "split": "train" + }, + { + "Input": "a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 20 seconds . what is the length of the train in meters ?", + "Output Program": [ + "n0 = 100.0\nn1 = 64.0\nn2 = 20.0\nt0 = n0 - n1\nt1 = t0 * 0.2778\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "200.016" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 900 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 900.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "53.99568034557235" + ], + "split": "train" + }, + { + "Input": "two airplanes take off from one airfield at noon . one flies due east at 201 miles per hour while the other flies directly northeast at 283 miles per hour . approximately how many miles apart are the airplanes at 2 p . m . ?", + "Output Program": [ + "import math\nn0 = 201.0\nn1 = 283.0\nn2 = 2.0\nt0 = n1 * n2\nt1 = n0 * n2\nt2 = t0**min(n2, 5)\nt3 = t1**min(n2, 5)\nt4 = t2 - t3\nanswer = math.sqrt(max(0, t4))\nprint(answer)" + ], + "Output Answer": [ + "398.43694607804633" + ], + "split": "train" + }, + { + "Input": "brenda and sally run in opposite direction on a circular track , starting at diametrically opposite points . they first meet after brenda has run 150 meters . they next meet after sally has run 200 meters past their first meeting point . each girl runs at a constant speed . what is the length of the track in meters ?", + "Output Program": [ + "n0 = 150.0\nn1 = 200.0\nt0 = n0 * 2.0\nanswer = n1 + t0\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "a metal company ' s old machine makes bolts at a constant rate of 100 bolts per hour . the company ' s new machine makes bolts at a constant rate of 150 bolts per hour . if both machines start at the same time and continue making bolts simultaneously , how many minutes will it take the two machines to make a total of 400 bolts ?", + "Output Program": [ + "n0 = 100.0\nn1 = 150.0\nn2 = 400.0\nt0 = n0 / 60.0\nt1 = n1 / 60.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "96" + ], + "split": "train" + }, + { + "Input": "amar takes as much time in running 18 meters as a car takes in covering 48 meters . what will be the distance covered by amar during the time the car covers 1.6 km ?", + "Output Program": [ + "n0 = 18.0\nn1 = 48.0\nn2 = 1.6\nt0 = n2 * 1000.0\nt1 = n0 * t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "a train passes a station platform in 50 sec and a man standing on the platform in 20 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?", + "Output Program": [ + "n0 = 50.0\nn1 = 20.0\nn2 = 54.0\nt0 = n2 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "300.024" + ], + "split": "train" + }, + { + "Input": "10 women can complete a work in 8 days and 10 children take 12 days to complete the work . how many days will 6 women and 3 children together take to complete the work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nn2 = 10.0\nn3 = 12.0\nn4 = 6.0\nn5 = 3.0\nt0 = n0 * n1\nt1 = n0 * n3\nt2 = n4 / t0\nt3 = n5 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "if 5 machines can produce 20 units in 10 hours , how long would it take 20 machines to produce 140 units ?", + "Output Program": [ + "n0 = 5.0\nn1 = 20.0\nn2 = 10.0\nn3 = 20.0\nn4 = 140.0\nt0 = n1 / n2\nt1 = t0 / n0\nt2 = n1 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "17.5" + ], + "split": "train" + }, + { + "Input": "a man can row 7 \u00e2 \u00bd kmph in still water . if in a river running at 1.5 km / hr an hour , it takes him 50 minutes to row to a place and back , how far off is the place ?", + "Output Program": [ + "n0 = 7.0\nn1 = 1.5\nn2 = 50.0\nt0 = 1.0 / 2.0\nt1 = n0 + t0\nt2 = n1 + t1\nt3 = t1 - n1\nanswer = t2 - t3\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "mr and mrs a are opposite to each other . the distance between mr a and mrs a are 120 km . the speed of mr a and mrs a are 30 kmph , 10 kmph respectively . one bee is running between mr a nose to mrs a nose and returning back to mr a nose . the speed of bee is 60 kmph . then how far bee traveled ?", + "Output Program": [ + "n0 = 120.0\nn1 = 30.0\nn2 = 10.0\nn3 = 60.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "a man walking at the rate of 5 km / hr crosses a bridge in 15 minutes . the length of the bridge ( in metres ) is", + "Output Program": [ + "n0 = 5.0\nn1 = 15.0\nt0 = n0 * 1000.0\nt1 = t0 / 60.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "1250" + ], + "split": "train" + }, + { + "Input": "two interconnected , circular gears travel at the same circumferential rate . if gear a has a diameter of 10 centimeters and gear b has a diameter of 50 centimeters , what is the ratio of the number of revolutions that gear a makes per minute to the number of revolutions that gear b makes per minute ?", + "Output Program": [ + "import math\nn0 = 10.0\nn1 = 50.0\nt0 = n1 / 2.0\nt1 = n0 / 2.0\nt2 = 2 * math.pi * t0\nt3 = 2 * math.pi * t1\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a trader sells 45 meters of cloth for rs . 4500 at the profit of rs . 14 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 45.0\nn1 = 4500.0\nn2 = 14.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "86" + ], + "split": "train" + }, + { + "Input": "a person walks at a speed of 4 km / hr and runs at a speed of 8 km / hr . how many hours will the person require to cover a distance of 20 km , if the person completes half of the distance by walking and the other half by running ?", + "Output Program": [ + "n0 = 4.0\nn1 = 8.0\nn2 = 20.0\nt0 = n2 / 2.0\nt1 = t0 / n0\nt2 = t0 / n1\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "3.75" + ], + "split": "train" + }, + { + "Input": "if 4 men working 10 hours a day earn rs . 1400 per week , then 9 men working 6 hours a day will earn how much per week ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nn2 = 1400.0\nn3 = 9.0\nn4 = 6.0\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "1890.0000000000002" + ], + "split": "train" + }, + { + "Input": "a car gets 33 miles to the gallon . if it is modified to use a solar panel , it will use only 75 percent as much fuel as it does now . if the fuel tank holds 16 gallons , how many more miles will the car be able to travel , per full tank of fuel , after it has been modified ?", + "Output Program": [ + "n0 = 33.0\nn1 = 75.0\nn2 = 16.0\nt0 = n0 / n1\nt1 = n0 * n2\nt2 = t0 * 100.0\nt3 = n2 * t2\nanswer = t3 - t1\nprint(answer)" + ], + "Output Answer": [ + "176" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 2500 resolutions ?", + "Output Program": [ + "n0 = 22.4\nn1 = 2500.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "3519.9999999999995" + ], + "split": "train" + }, + { + "Input": "the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland , which is 480 miles away . the pilot recognizes that the current engine , which can fly only 7 miles per gallon , will not get him there . by how many miles per gallon must the aircraft \u2019 s fuel efficiency be improved to make the flight to cleveland possible ?", + "Output Program": [ + "n0 = 40.0\nn1 = 480.0\nn2 = 7.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "x can do a piece of work in 40 days . he works at it for 8 days and then y finished it in 24 days . how long will y take to complete the work ?", + "Output Program": [ + "n0 = 40.0\nn1 = 8.0\nn2 = 24.0\nt0 = n1 / n0\nt1 = 1.0 - t0\nt2 = 1 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "guy drives 60 miles to attend a meeting . halfway through , he increases his speed so that his average speed on the second half is 16 miles per hour faster than the average speed on the first half . his average speed for the entire trip is 30 miles per hour . guy drives on average how many miles per hour during the first half of the way ?", + "Output Program": [ + "n0 = 60.0\nn1 = 16.0\nn2 = 30.0\nt0 = n1 * n2\nt1 = 2.0 * 3.0\nt2 = t0 / 2.0\nt3 = n0 / t1\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "dan \u2019 s car gets 32 miles per gallon . if gas costs $ 4 / gallon , then how many miles can dan \u2019 s car go on $ 54 of gas ?", + "Output Program": [ + "n0 = 32.0\nn1 = 4.0\nn2 = 54.0\nt0 = n0 * n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "432" + ], + "split": "train" + }, + { + "Input": "walking at the rate of 5 kmph a man cover certain distance in 5 hr . running at a speed of 15 kmph the man will cover the same distance in .", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 15.0\nt0 = n0 * n0\nt1 = n2 / t0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a train crosses a bridge of length 800 m in 45 seconds and a lamp post on the bridge in 15 seconds . what is the length of the train in metres ?", + "Output Program": [ + "n0 = 800.0\nn1 = 45.0\nn2 = 15.0\nt0 = n1 - n2\nt1 = n0 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "a train travels 290 km in 4.5 hours and 400 km in 5.5 hours . find the average speed of train .", + "Output Program": [ + "n0 = 290.0\nn1 = 4.5\nn2 = 400.0\nn3 = 5.5\nt0 = n0 + n2\nt1 = n1 + n3\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "69" + ], + "split": "train" + }, + { + "Input": "if the perimeter of a rectangular garden is 600 m , its length when its breadth is 200 m is ?", + "Output Program": [ + "n0 = 600.0\nn1 = 200.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a machine , working at a constant rate , manufactures 18 dies in 25 minutes . how many dies does it make in 1 hr 15 min ?", + "Output Program": [ + "n0 = 18.0\nn1 = 25.0\nn2 = 1.0\nn3 = 15.0\nt0 = n2 * 60.0\nt1 = n3 + t0\nt2 = t1 / n1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "a room 5.44 m long and 3.74 m broad is to be paved with square tiles . the least number of square tiles required to cover the floor is :", + "Output Program": [ + "n0 = 5.44\nn1 = 3.74\nt0 = 10.0 + 10.0\nt1 = n0 * 100.0\nt2 = n1 * 100.0\nt3 = t0 + 10.0\nt4 = t1 * t2\nt5 = t3 + 4.0\nt6 = t5 * t5\nanswer = t4 / t6\nprint(answer)" + ], + "Output Answer": [ + "176" + ], + "split": "train" + }, + { + "Input": "a runs twice as fast as b and gives b a start of 60 m . how long should the racecourse be so that a and b might reach in the same time ?", + "Output Program": [ + "n0 = 60.0\n\nanswer = n0 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "how long does a train 100 m long running at the speed of 80 km / hr takes to cross a bridge 142 m length ?", + "Output Program": [ + "n0 = 100.0\nn1 = 80.0\nn2 = 142.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "10.889128869690424" + ], + "split": "train" + }, + { + "Input": "a can complete a project in 20 days and b can complete the same project in 30 days . if a and b start working on the project together and a quits 5 days before the project is completed , in how many days total will the project be completed ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 5.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t1 + t0\nt3 = n2 * t0\nt4 = 1.0 - t3\nt5 = t4 / t2\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a river 4 m deep and 65 m wide is flowing at the rate of 6 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 4.0\nn1 = 65.0\nn2 = 6.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "26000" + ], + "split": "train" + }, + { + "Input": "a rotameter is a device that measures flow of liquid and gases . when measuring liquid phase flows , 2.5 inches represent 60 liters per minute of liquid . with gas measurements the rotameter moves 50 % of the movement he moves with the liquid phase . how many liters of gas passed through the rotameter if it measured 4 inches ?", + "Output Program": [ + "n0 = 2.5\nn1 = 60.0\nn2 = 50.0\nn3 = 4.0\nt0 = n2 / 100.0\nt1 = n1 * n3\nt2 = t1 / n0\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "192" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 5 seconds longer to travel 1 km than it would take to travel 1 km at 90 km / hour . at what speed , in km / hr , is the car traveling ?", + "Output Program": [ + "n0 = 5.0\nn1 = 1.0\nn2 = 1.0\nn3 = 90.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "a rower can row 7 km / h in still water . when the river is running at 1 km / h , it takes the rower 1 hour to row to big rock and back . how many kilometers is it to big rock ?", + "Output Program": [ + "n0 = 7.0\nn1 = 1.0\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t1 / t2\nanswer = t0 * t3\nprint(answer)" + ], + "Output Answer": [ + "3.4285714285714284" + ], + "split": "train" + }, + { + "Input": "a cistern is normally filled in 4 hours but takes two hours longer to fill because of a leak in its bottom . if the cistern is full , the leak will empty it in ?", + "Output Program": [ + "n0 = 4.0\nt0 = n0 + 2.0\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t1 - t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999998" + ], + "split": "train" + }, + { + "Input": "if 14 lions can kill 14 deers in 14 minutes how long will it take 100 lions to kill 100 deers ?", + "Output Program": [ + "n0 = 14.0\nn1 = 14.0\nn2 = 14.0\nn3 = 100.0\nn4 = 100.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "in a 100 m race , sam beats john by 3 seconds . on the contrary , if sam allowed john to start 24 m ahead of sam , then sam and john reach the finishing point at the same time . how long does sam take to run the 100 m race ?", + "Output Program": [ + "n0 = 100.0\nn1 = 3.0\nn2 = 24.0\nn3 = 100.0\nt0 = n0 - n2\nanswer = t0 / 3.0\nprint(answer)" + ], + "Output Answer": [ + "25.333333333333332" + ], + "split": "train" + }, + { + "Input": "a train , 125 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds . the length of the bridge is", + "Output Program": [ + "n0 = 125.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "250.02999999999997" + ], + "split": "train" + }, + { + "Input": "two trains 141 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 141.0\nn1 = 165.0\nn2 = 80.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.596633648618456" + ], + "split": "train" + }, + { + "Input": "a train 150 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train . find the speed of the train ?", + "Output Program": [ + "n0 = 150.0\nn1 = 6.0\nn2 = 5.0\nt0 = n0 / n1\nt1 = t0 / 0.2778\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "84.99280057595392" + ], + "split": "train" + }, + { + "Input": "working together , wayne and his son can shovel the entire driveway in 3 hours . if wayne can shovel 6 times as fast as his son can , how many hours would it take for his son to shovel the entire driveway on his own ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nt0 = n1 + 1.0\nt1 = n0 * t0\nanswer = t1 / n0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "how many pieces of 85 cm length can be cut from a rod of 25.5 meters long ?", + "Output Program": [ + "n0 = 85.0\nn1 = 25.5\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "two trains of lengths 156.62 and 100 meters are running on parallel lines with respective speeds of 30 km / hr and 36 km / hr . the time of crossing each other , if they run in the opposite direction is", + "Output Program": [ + "n0 = 156.62\nn1 = 100.0\nn2 = 30.0\nn3 = 36.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "13.996334838667455" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 170 meters long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 170.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "205" + ], + "split": "train" + }, + { + "Input": "working individually , julie can peel potatoes in 10 hours and ted can peel potatoes in 8 hours . if julie and ted work together but independently at the task for 4 hours , at which point ted leaves , how many remaining hours will it take julie to complete the task alone ?", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nt4 = 1.0 - t3\nanswer = t4 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.9999999999999998" + ], + "split": "train" + }, + { + "Input": "if 36 men can do a piece of work in 15 hours , in how many hours will 15 men do it ?", + "Output Program": [ + "n0 = 36.0\nn1 = 15.0\nn2 = 15.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 70 m at the rate of rs . 1 a meter ?", + "Output Program": [ + "import math\nn0 = 70.0\nn1 = 1.0\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "219.9114857512855" + ], + "split": "train" + }, + { + "Input": "a train takes 10 sec to pass a signal post and covers a distance of 10 km in 15 min . find the length of train ?", + "Output Program": [ + "n0 = 10.0\nn1 = 10.0\nn2 = 15.0\nt0 = n0 * 1000.0\nt1 = n2 * 60.0\nt2 = t0 / t1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "111.11111111111111" + ], + "split": "train" + }, + { + "Input": "john and roger can finish the work 24 days if they work together . they worked together for 16 days and then roger left . john finished the remaining work in another 16 days . in how many days john alone can finish the work ?", + "Output Program": [ + "n0 = 24.0\nn1 = 16.0\nn2 = 16.0\nt0 = n1 / n0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "47.99999999999999" + ], + "split": "train" + }, + { + "Input": "there are 43 stations between ernakulam and chennai . how many second class tickets have to be printed , so that a passenger can travel from one station to any other station ?", + "Output Program": [ + "n0 = 43.0\nt0 = n0 + 2.0\nt1 = t0 - 1.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "1980" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 8 days . b can do it in 12 days . with the assistance of c they completed the work in 4 days . find in how many days can c alone do it ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 4.0\nt0 = n0 * n1\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = n2 * t3\nt5 = t0 - t4\nt6 = t5 / n2\nanswer = t0 / t6\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a train 550 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 550.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "before leaving home for the town of madison , pete checks a map which shows that madison is 5 inches from his current location , gardensquare . pete arrives in madison 5 hours later and drove at an average speed of 60 miles per hour . at what scale , in inches per mile , is the map drawn ?", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 60.0\nt0 = n1 / n0\nt1 = t0 * n2\nanswer = 1.0 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.016666666666666666" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 22 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 81 km downstream", + "Output Program": [ + "n0 = 22.0\nn1 = 5.0\nn2 = 81.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a man can do a piece of work in 5 days , but with the help of his son he can do it in 4 days . in what time can the son do it alone ?", + "Output Program": [ + "n0 = 5.0\nn1 = 4.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "express 15 mps in kmph ?", + "Output Program": [ + "n0 = 15.0\nt0 = n0 / 1000.0\nanswer = t0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "bill spends two days driving from point a to point b . on the first day , he drove 2 hours longer and at an average speed 5 miles per hour faster than he drove on the second day . if during the two days he drove a total of 680 miles over the course of 18 hours , what was his average speed on the second day , in miles per hour ?", + "Output Program": [ + "n0 = 2.0\nn1 = 5.0\nn2 = 680.0\nn3 = 18.0\nt0 = n0 * n1\nt1 = 2.0 * 4.0\nt2 = t0 + t1\nt3 = n1 * t0\nt4 = n2 - t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "in a garden , 26 trees are planted at equal distances along a yard 300 metres long , one tree being at each end of the yard . what is the distance between two consecutive trees ?", + "Output Program": [ + "n0 = 26.0\nn1 = 300.0\nt0 = n0 - 1.0\nanswer = n1 / t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "workers at a campaign office have 2500 fliers to send out . if they send out 1 / 5 of them in the morning and 1 / 4 of the remaining ones out during the afternoon , how many are left for the next day ?", + "Output Program": [ + "n0 = 2500.0\nn1 = 1.0\nn2 = 5.0\nn3 = 1.0\nn4 = 4.0\nt0 = n0 / n2\nt1 = n0 - t0\nt2 = t1 / n4\nanswer = t1 - t2\nprint(answer)" + ], + "Output Answer": [ + "1500" + ], + "split": "train" + }, + { + "Input": "two numbers n and 24 have lcm = 48 and gcf = 8 . find n .", + "Output Program": [ + "n0 = 24.0\nn1 = 48.0\nn2 = 8.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 12 days and b can do a piece of work in 18 days how many days will the work be completed if both of them work together ?", + "Output Program": [ + "n0 = 12.0\nn1 = 18.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.199999999999999" + ], + "split": "train" + }, + { + "Input": "in a garment industry , 12 men working 8 hours per day complete a piece of work in 10 days . to complete the same work in 8 days , working 20 hours a day , the number of men required is :", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 10.0\nn3 = 8.0\nn4 = 20.0\nt0 = n0 * n1\nt1 = n2 * t0\nt2 = t1 / n4\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a can finish a work in 10 days and b can do same work in half the time taken by a . then working together , what part of same work they can finish in a day ?", + "Output Program": [ + "n0 = 10.0\nt0 = 1.0 / n0\nt1 = t0 * 2.0\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "0.30000000000000004" + ], + "split": "train" + }, + { + "Input": "81 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?", + "Output Program": [ + "n0 = 81.0\nn1 = 8.0\nn2 = 30.0\nn3 = 50.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n3 * t1\nt3 = t2 / n4\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "99" + ], + "split": "train" + }, + { + "Input": "a trader sells 66 meters of cloth for rs . 660 at the profit of rs . 5 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 66.0\nn1 = 660.0\nn2 = 5.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "mahesh can do a piece of work in 45 days . he works at it for 20 days and then rajesh finished it in 30 days . how long will y take to complete the work ?", + "Output Program": [ + "n0 = 45.0\nn1 = 20.0\nn2 = 30.0\nt0 = 1.0 / n0\nt1 = n1 * t0\nt2 = 1.0 - t1\nt3 = t2 / n2\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "53.99999999999999" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 100 km in the first hour and 30 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 100.0\nn1 = 30.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "train" + }, + { + "Input": "the hour hand of a watch rotates 30 degrees every hour . how many complete rotations does the hour hand make in 6 days ?", + "Output Program": [ + "n0 = 30.0\nn1 = 6.0\n\nanswer = n1 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a vessel of capacity 75 litres is fully filled with pure milk . nine litres of milk is removed from the vessel and replaced with water . nine litres of the solution thus formed is removed and replaced with water . find the quantity of pure milk in the final milk solution ?", + "Output Program": [ + "n0 = 75.0\nt0 = 3.0 * 3.0\nt1 = n0 - t0\nt2 = t1 / n0\nt3 = t2 * t0\nanswer = t1 - t3\nprint(answer)" + ], + "Output Answer": [ + "58.08" + ], + "split": "train" + }, + { + "Input": "a metal company ' s old machine makes bolts at a constant rate of 100 bolts per hour . the company ' s new machine makes bolts at a constant rate of 150 bolts per hour . if both machines start at the same time and continue making bolts simultaneously , how many minutes will it take the two machines to make a total of 550 bolts ?", + "Output Program": [ + "n0 = 100.0\nn1 = 150.0\nn2 = 550.0\nt0 = n0 / 60.0\nt1 = n1 / 60.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "132" + ], + "split": "train" + }, + { + "Input": "a goods train runs at a speed of 72 kmph and crosses a 260 m long platform in 26 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 260.0\nn2 = 26.0\nt0 = n0 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n1\nprint(answer)" + ], + "Output Answer": [ + "260.0416" + ], + "split": "train" + }, + { + "Input": "the area of a sector of a circle of radius 5 cm formed by an arc of length 4 cm is ?", + "Output Program": [ + "n0 = 5.0\nn1 = 4.0\nt0 = 1.0 / 2.0\nt1 = n0 * n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "if an object travels 200 feet in 2 seconds , what is the object ' s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 200.0\nn1 = 2.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 / n3\nt1 = n2 / 3600.0\nt2 = n1 * t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "68.18181818181819" + ], + "split": "train" + }, + { + "Input": "after an ice began to melt out from the freezer , in the first hour lost 3 / 4 , in the second hour lost 3 / 4 of its remaining . if after two hours , the volume is 0.25 cubic inches , what is the original volume of the cubic ice , in cubic inches ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 3.0\nn3 = 4.0\nn4 = 0.25\nt0 = n4 / 0.25\nanswer = t0 / 0.25\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "33 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be :", + "Output Program": [ + "n0 = 33.0\nn1 = 1.0\nt0 = n1 / 2.0\nt1 = t0**min(2.0, 5)\nt2 = t1 * 3.141592653589793\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "42.01690497626037" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 12 days . when he had worked for 2 days b joins him . if the complete work was finished in 8 days . in how many days b alone can finish the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 2.0\nn2 = 8.0\nt0 = n0 + n2\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = n1 * t2\nt4 = 1.0 - t3\nt5 = t1 * t4\nt6 = t5 - t2\nt7 = 1 / t6\nanswer = t7 - t0\nprint(answer)" + ], + "Output Answer": [ + "27.99999999999998" + ], + "split": "train" + }, + { + "Input": "x can finish a work in 30 days . y can finish the same work in 15 days . yworked for 10 days and left the job . how many days does x alone need to finish the remaining work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 15.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = n2 * t0\nt3 = 1.0 - t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "10.000000000000002" + ], + "split": "train" + }, + { + "Input": "a is thrice as good a work man as b and together they finish a piece of work in 12 days . the number of days taken by a alone to finish the work is :", + "Output Program": [ + "n0 = 12.0\nt0 = 1.0 + 3.0\nt1 = n0 / 3.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a beats b by 50 m in a race of 500 m , then b beats by c by 25 m in a race of 500 m . find the distance by which a beats c in a race of 400 ?", + "Output Program": [ + "n0 = 50.0\nn1 = 500.0\nn2 = 25.0\nn3 = 500.0\nn4 = 400.0\nt0 = n1 - n2\nt1 = n1 - n0\nt2 = t0 / n1\nt3 = t2 * t1\nt4 = t3 / n1\nt5 = n4 * t4\nanswer = n4 - t5\nprint(answer)" + ], + "Output Answer": [ + "58" + ], + "split": "train" + }, + { + "Input": "the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland , which is 480 miles away . the pilot recognizes that the current engine , which can fly only 5 miles per gallon , will not get him there . by how many miles per gallon must the aircraft \u2019 s fuel efficiency be improved to make the flight to cleveland possible ?", + "Output Program": [ + "n0 = 40.0\nn1 = 480.0\nn2 = 5.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a train is 360 meter long is running at a speed of 30 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 360.0\nn1 = 30.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "59.99999999999999" + ], + "split": "train" + }, + { + "Input": "danny and steve are running towards each other , each one from his own house . danny can reach steve ' s house in 29 minutes of running , which is half the time it takes steve to reach danny ' s house . if the two started to run at the same time , how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?", + "Output Program": [ + "n0 = 29.0\n\nanswer = n0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "14.5" + ], + "split": "train" + }, + { + "Input": "amar takes as much time in running 24 meters as a car takes in covering 60 meters . what will be the distance covered by amar during the time the car covers 2.2 km ?", + "Output Program": [ + "n0 = 24.0\nn1 = 60.0\nn2 = 2.2\nt0 = n2 * 1000.0\nt1 = n0 * t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "880" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . find the cost of paying the floor by slabs at the rate of rs . 600 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 600.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "12375" + ], + "split": "train" + }, + { + "Input": "x and y together can completes a work in 12 days and y complete the same work in 24 days . then the number of days x required to complete the work will be ?", + "Output Program": [ + "n0 = 12.0\nn1 = 24.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "james and david work at a grocery shop with 12 other workers . for an internal review , 2 of the 12 workers will be randomly chosen to be interviewed . what is the probability that james and david will both be chosen ?", + "Output Program": [ + "n0 = 12.0\nn1 = 2.0\nn2 = 12.0\nt0 = 1.0 / n0\nt1 = n0 - 1.0\nt2 = 1.0 / t1\nt3 = t0 * t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "0.015151515151515152" + ], + "split": "train" + }, + { + "Input": "if 11.25 m of a uniform steel rod weighs 42.75 kg . what will be the weight of 7 m of the same rod ?", + "Output Program": [ + "n0 = 11.25\nn1 = 42.75\nn2 = 7.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "26.6" + ], + "split": "train" + }, + { + "Input": "if a farmer wants to plough a farm field on time , he must plough 160 hectares a day . for technical reasons he ploughed only 85 hectares a day , hence he had to plough 2 more days than he planned and he still has 40 hectares left . what is the area of the farm field and how many days the farmer planned to work initially ?", + "Output Program": [ + "n0 = 160.0\nn1 = 85.0\nn2 = 2.0\nn3 = 40.0\nt0 = n1 * n2\nt1 = n0 - n1\nt2 = n3 + t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "448" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 30 minutes . pipe b can fill the same tank 6 times faster than pipe a . if both the pipes are connected to the tank so that they fill the tank simultaneously , how long will it take for the empty tank to overflow ?", + "Output Program": [ + "n0 = 30.0\nn1 = 6.0\nt0 = 1.0 / n0\nt1 = n1 / n0\nt2 = t0 + t1\nt3 = t2 + t0\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "3.75" + ], + "split": "train" + }, + { + "Input": "if a , b and c together can finish a piece of work in 4 days . a alone in 12 days and b in 9 days , then c alone can do it in ?", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nn2 = 9.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 0.25 - t0\nt3 = t2 - t1\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "17.999999999999993" + ], + "split": "train" + }, + { + "Input": "a can do a work in 14 days and working together a and b can do the same work in 10 days . in what time can b alone do the work ?", + "Output Program": [ + "n0 = 14.0\nn1 = 10.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "34.999999999999986" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 8 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 5.0\nn1 = 8.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "13.333333333333332" + ], + "split": "train" + }, + { + "Input": "there is food for 760 men for 22 days . how many more men should join after two days so that the same food may last for 19 days more ?", + "Output Program": [ + "n0 = 760.0\nn1 = 22.0\nn2 = 19.0\nt0 = n1 - 2.0\nt1 = n0 * t0\nt2 = t1 / n2\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "the amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5 . if they worked a combined total of 110 hours , how many hours did the secretary who worked the longest spend on the project ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 5.0\nn3 = 110.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n3 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "train" + }, + { + "Input": "bruce and anne can clean their house in 4 hours working together at their respective constant rates . if anne \u2019 s speed were doubled , they could clean their house in 3 hours working at their respective rates . how many s hours does it currently take anne to clean the house on her own ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "train" + }, + { + "Input": "a monkey start climbing up a tree 19 ft tall . each hour it hops 3 ft and slips back 2 ft . how much time would it take the monkey to reach the top .", + "Output Program": [ + "n0 = 19.0\nn1 = 3.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = n0 / t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "before leaving home for the town of madison , pete checks a map which shows that madison is 5 inches from his current location , gardensquare . pete arrives in madison 6.5 hours later and drove at an average speed of 60 miles per hour . at what scale , in inches per mile , is the map drawn ?", + "Output Program": [ + "n0 = 5.0\nn1 = 6.5\nn2 = 60.0\nt0 = n1 / n0\nt1 = t0 * n2\nanswer = 1.0 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.01282051282051282" + ], + "split": "train" + }, + { + "Input": "a cistern 12 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm . what is the total area of the wet surface ?", + "Output Program": [ + "n0 = 12.0\nn1 = 4.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 * 2.0\nt6 = t4 * 2.0\nt7 = t1 + t5\nanswer = t7 + t6\nprint(answer)" + ], + "Output Answer": [ + "88" + ], + "split": "train" + }, + { + "Input": "in a dairy farm , 20 cows eat 20 bags of husk in 20 days . in how many days one cow will eat one bag of husk ?", + "Output Program": [ + "n0 = 20.0\nn1 = 20.0\nn2 = 20.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 198 , how many hours overtime did he work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 40.0\nn2 = 198.0\nt0 = n0 * n1\nt1 = n0 * 2.0\nt2 = n2 - t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "if 11 lions can kill 11 deers in 11 minutes how long will it take 100 lions to kill 100 deers ?", + "Output Program": [ + "n0 = 11.0\nn1 = 11.0\nn2 = 11.0\nn3 = 100.0\nn4 = 100.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 24 minutes is :", + "Output Program": [ + "n0 = 20.0\nn1 = 5.0\nn2 = 24.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "in a survey of 335 employees , 104 of them are uninsured , 54 work part time , and 12.5 percent of employees who are uninsured work part time . if a person is to be randomly selected from those surveyed , what is the probability that the person will neither work part time nor be uninsured ?", + "Output Program": [ + "n0 = 335.0\nn1 = 104.0\nn2 = 54.0\nn3 = 12.5\nt0 = n1 * n3\nt1 = 1.0 * 100.0\nt2 = t0 / t1\nt3 = n2 - t2\nt4 = n1 + t3\nt5 = n0 - t4\nanswer = t5 / n0\nprint(answer)" + ], + "Output Answer": [ + "0.5671641791044776" + ], + "split": "train" + }, + { + "Input": "8 : 4 seconds : : ? : 4 minutes", + "Output Program": [ + "n0 = 8.0\nn1 = 4.0\nn2 = 4.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a river 2 m deep and 45 m wide is flowing at the rate of 7 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 2.0\nn1 = 45.0\nn2 = 7.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "10500" + ], + "split": "train" + }, + { + "Input": "a can give b 70 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 70.0\nn1 = 200.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "139.7849462365591" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 10 cm and 18 cm long , and the distance between them is 10.00001 cm .", + "Output Program": [ + "n0 = 10.0\nn1 = 18.0\nn2 = 10.00001\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "140.00014" + ], + "split": "train" + }, + { + "Input": "a car drives 40 miles on local roads at 20 mph , and 180 miles on the highway at 60 mph , what is the average speed of the entire trip ?", + "Output Program": [ + "n0 = 40.0\nn1 = 20.0\nn2 = 180.0\nn3 = 60.0\nt0 = n0 + n2\nt1 = n0 / n1\nt2 = n2 / n3\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long running at a speed of 72 kmph take to cross a bridge 132 m in length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 72.0\nn2 = 132.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12.099032077433806" + ], + "split": "train" + }, + { + "Input": "a train 110 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a person can swim in still water at 4 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 6 km ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 6.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "at 6 \u2032 o a clock ticks 6 times . the time between first and last ticks is 35 seconds . how long does it tick at 12 \u2032 o clock", + "Output Program": [ + "n0 = 6.0\nn1 = 6.0\nn2 = 35.0\nn3 = 12.0\nt0 = n0 - 1.0\nt1 = n3 - 1.0\nt2 = n2 / t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "77" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 140 metres long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 140.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "235" + ], + "split": "train" + }, + { + "Input": "the speed of a train is 90 kmph . what is the distance covered by it in 20 minutes ?", + "Output Program": [ + "n0 = 90.0\nn1 = 20.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 20 km in the first hour and 60 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 20.0\nn1 = 60.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "convert 0.35 in to a vulgar fraction ?", + "Output Program": [ + "n0 = 0.35\nt0 = 2.0 + 3.0\nt1 = t0 * 2.0\nt2 = t1 * t1\nt3 = n0 * t2\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.35" + ], + "split": "train" + }, + { + "Input": "train a leaves the station traveling at 30 miles per hour . two hours later train \u0432 leaves the same station traveling in the same direction at 36 miles per hour . how many miles from the station was train a overtaken by train b ?", + "Output Program": [ + "n0 = 30.0\nn1 = 36.0\nt0 = n0 * 2.0\nt1 = n1 - n0\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "360" + ], + "split": "train" + }, + { + "Input": "angelina walked 1200 meters from her home to the grocery at a constant speed . she then walked 480 meters to the gym at double the speed . she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 480.0\nn2 = 40.0\nt0 = n1 / 2.0\nt1 = n0 - t0\nt2 = t1 / n2\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "a train travels 125 km in 2.5 hours and 270 km in 3 hours . find the average speed of train .", + "Output Program": [ + "n0 = 125.0\nn1 = 2.5\nn2 = 270.0\nn3 = 3.0\nt0 = n0 + n2\nt1 = n1 + n3\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "71.81818181818181" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 32 kmph and downstream at 48 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 32.0\nn1 = 48.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "an woman swims downstream 64 km and upstream 24 km taking 8 hours each time ; what is the speed of the current ?", + "Output Program": [ + "n0 = 64.0\nn1 = 24.0\nn2 = 8.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "train" + }, + { + "Input": "a train can travel 50 % faster than a car . both start from point a at the same time and reach point b 75 kms away from a at the same time . on the way , however , the train lost about 12.5 minutes while stopping at the stations . what is the speed of the car ?", + "Output Program": [ + "n0 = 50.0\nn1 = 75.0\nn2 = 12.5\nt0 = 1.0 + 4.0\nt1 = n2 * 2.0\nt2 = t1 - 1.0\nt3 = t1 * t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "a car gets 20 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 120 kilometers ?", + "Output Program": [ + "n0 = 20.0\nn1 = 120.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "beginning in town a , biker bob rides his bike 30 miles west , 6 miles north , 15 miles east , and then 18 miles north , to town b . how far apart are town a and town b ? ( ignore the curvature of the earth . )", + "Output Program": [ + "import math\nn0 = 30.0\nn1 = 6.0\nn2 = 15.0\nn3 = 18.0\nt0 = n1 + n3\nt1 = n2**min(2.0, 5)\nt2 = t0**min(2.0, 5)\nt3 = t2 + t1\nanswer = math.sqrt(max(0, t3))\nprint(answer)" + ], + "Output Answer": [ + "28.30194339616981" + ], + "split": "train" + }, + { + "Input": "two trains 200 m and 300 m long run at the speed of 70 kmph and 50 kmph in opposite directions in parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 200.0\nn1 = 300.0\nn2 = 70.0\nn3 = 50.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "14.998800095992321" + ], + "split": "train" + }, + { + "Input": "6 lights begin to flash together at 12 : 00 noon and flash respectively at intervals of 3 , 4 , 5 , 6 , 7 , and 8 seconds . not including the flash at 12 : 00 noon , how many more times will all 6 lights flash together before 1 : 00 pm ( i . e . one hour later ) ?", + "Output Program": [ + "import math\nimport scipy\nn0 = 6.0\nn1 = 12.0\nn2 = 0.0\nn3 = 3.0\nn4 = 4.0\nn5 = 5.0\nn6 = 6.0\nn7 = 7.0\nn8 = 8.0\nn9 = 12.0\nn10 = 0.0\nn11 = 6.0\nn12 = 1.0\nn13 = 0.0\nt0 = scipy.lcm(int(n7), int(n8))\nt1 = scipy.lcm(int(n3), int(n4))\nt2 = scipy.lcm(int(n0), int(n5))\nt3 = 1.0 * 3600.0\nt4 = scipy.lcm(int(t1), int(t2))\nt5 = scipy.lcm(int(t0), int(t4))\nt6 = t3 / t5\nanswer = math.floor(t6)\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a train 700 m long can cross an electric pole in 20 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 700.0\nn1 = 20.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "125.99999999999999" + ], + "split": "train" + }, + { + "Input": "an industrial loom weaves 1.14 meters of cloth every second . approximately , how much time will it take to weave 52 meters of cloth ?", + "Output Program": [ + "n0 = 1.14\nn1 = 52.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "45.6140350877193" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 20 days , and b can do it in 15 days . how long will they take if both work together ?", + "Output Program": [ + "n0 = 20.0\nn1 = 15.0\nt0 = 1 / n1\nt1 = 1 / n0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "8.571428571428571" + ], + "split": "train" + }, + { + "Input": "22 buckets of water fill a tank when the capacity of each bucket is 13.5 litres . how many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres ?", + "Output Program": [ + "n0 = 22.0\nn1 = 13.5\nn2 = 9.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "train" + }, + { + "Input": "8 machines can do a work in 10 days . how many machines are needed to complete the work in 40 days ?", + "Output Program": [ + "n0 = 8.0\nn1 = 10.0\nn2 = 40.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "along a yard 414 metres long , 24 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between two consecutive trees", + "Output Program": [ + "n0 = 414.0\nn1 = 24.0\nt0 = n1 - 1.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a hall 20 m long and 15 m broad is surrounded by a verandah of uniform width of 2.5 m . the cost of flooring the verandah at the rate of rs . 3.50 per sq . meter is", + "Output Program": [ + "n0 = 20.0\nn1 = 15.0\nn2 = 2.5\nn3 = 3.5\nt0 = n2 * 2.0\nt1 = n0 * n1\nt2 = n0 + t0\nt3 = n1 + t0\nt4 = t2 * t3\nt5 = t4 - t1\nanswer = n3 * t5\nprint(answer)" + ], + "Output Answer": [ + "700" + ], + "split": "train" + }, + { + "Input": "the speed at which a girl can row a boat in still water is 30 kmph . if she rows downstream , where the speed of current is 6 kmph , what time will he take to cover 240 metres ?", + "Output Program": [ + "n0 = 30.0\nn1 = 6.0\nn2 = 240.0\nt0 = n0 + n1\nt1 = n2 * 3.6\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "two trains of length 100 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 100.0\nn1 = 280.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "18.998480121590273" + ], + "split": "train" + }, + { + "Input": "if 12 men can reap 120 acres of land in 36 days , how many acres of land can 24 men reap in 62 days ?", + "Output Program": [ + "n0 = 12.0\nn1 = 120.0\nn2 = 36.0\nn3 = 24.0\nn4 = 62.0\nt0 = n3 / n0\nt1 = n4 / n2\nt2 = t0 * t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "413.33333333333337" + ], + "split": "train" + }, + { + "Input": "a car travels at a speed of 10 miles per hour . how far will it travel in 5 hours ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "if 42 men do a work in 25 days , in how many days will 50 men do it ?", + "Output Program": [ + "n0 = 42.0\nn1 = 25.0\nn2 = 50.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "a train 250 meters long completely crosses a 300 meters long bridge in 45 seconds . what is the speed of the train is ?", + "Output Program": [ + "n0 = 250.0\nn1 = 300.0\nn2 = 45.0\nt0 = n0 + n1\nt1 = n2 / 3600.0\nt2 = t0 / 1000.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "an outlet pipe can empty 2 / 3 of a cistern in 16 minutes . in 4 minutes , what part of the cistern will be emptied ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 16.0\nn3 = 4.0\nt0 = n0 / n1\nt1 = n3 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "0.16666666666666666" + ], + "split": "train" + }, + { + "Input": "bruce and anne can clean their house in 4 hours working together at their respective constant rates . if anne \u2019 s speed were doubled , they could clean their house in 3 hours working at their respective rates . how many hours does it currently take anne to clean the house on her own ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "train" + }, + { + "Input": "a train of length 250 m crosses a bridge of length 120 m in 20 seconds . what is the speed of train ?", + "Output Program": [ + "n0 = 250.0\nn1 = 120.0\nn2 = 20.0\nt0 = n0 + n1\nt1 = t0 / n2\nanswer = t1 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "66.60000000000001" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 400 metre long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 400.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "23.998080153587715" + ], + "split": "train" + }, + { + "Input": "a 240 meter long train crosses a man standing on the platform in 4 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 240.0\nn1 = 4.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "216" + ], + "split": "train" + }, + { + "Input": "a boat running downstream covers a distance of 10 km in 3 hr while for covering the same distance upstream , it takes 6 hr . what is the speed of the boat ?", + "Output Program": [ + "n0 = 10.0\nn1 = 3.0\nn2 = 6.0\nt0 = n0 / n1\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "train" + }, + { + "Input": "the length of a room is 8 m and width is 4.75 m . what is the cost of paying the floor by slabs at the rate of rs . 900 per sq . metre .", + "Output Program": [ + "n0 = 8.0\nn1 = 4.75\nn2 = 900.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "34200" + ], + "split": "train" + }, + { + "Input": "a and b runs around a circular track . a beats b by one round or 10 minutes . in this race , they had completed 4 rounds . if the race was only of one round , find the a ' s time over the course :", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nt0 = n1 - 1.0\nt1 = n0 * t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "a certain industrial loom weaves 0.127 meters of cloth every second . approximately how many seconds will it take for the loom to weave 15 meters of cloth ?", + "Output Program": [ + "n0 = 0.127\nn1 = 15.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "118.11023622047244" + ], + "split": "train" + }, + { + "Input": "mary can do a piece of work in 11 days . rosy is 10 % more efficient than mary . the number of days taken by rosy to do the same piece of work is ?", + "Output Program": [ + "n0 = 11.0\nn1 = 10.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a train leaves mumabai at 9 am at a speed of 40 kmph . after one hour , another train leaves mumbai in the same direction as that of the first train at a speed of 80 kmph . when and at what distance from mumbai do the two trains meet ?", + "Output Program": [ + "n0 = 9.0\nn1 = 40.0\nn2 = 80.0\nt0 = n1 * 1.0\nt1 = n2 - n1\nt2 = t0 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "in what time will a train 100 m long cross an electric pole , it its speed be 126 km / hr ?", + "Output Program": [ + "n0 = 100.0\nn1 = 126.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.856914303998537" + ], + "split": "train" + }, + { + "Input": "youseff lives x blocks from his office . it takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work . it is takes him exactly 8 minutes more to walk to work than to ride his bike to work , then x equals ?", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 8.0\nt0 = n2 * 3.0\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 4 litres a minute . when the tank is full , the inlet is opened and due to the leak the tank is empty in 8 hours . the capacity of the tank ( in litres ) is", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nn2 = 8.0\nt0 = n2 * 60.0\nt1 = n0 * 60.0\nt2 = t0 / t1\nt3 = n1 * t0\nt4 = t2 - 1.0\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "5760.000000000001" + ], + "split": "train" + }, + { + "Input": "david and andrew can finish the work 12 days if they work together . they worked together for 8 days and then andrew left . david finished the remaining work in another 8 days . in how many days david alone can finish the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 8.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "two trains start from p and q respectively and travel towards each other at a speed of 50 km / hr and 40 km / hr respectively . by the time they meet , the first train has traveled 100 km more than the second . the distance between p and q is ?", + "Output Program": [ + "n0 = 50.0\nn1 = 40.0\nn2 = 100.0\nt0 = n1 * n2\nt1 = n0 - n1\nt2 = t0 / t1\nt3 = n2 + t2\nanswer = t3 + t2\nprint(answer)" + ], + "Output Answer": [ + "900" + ], + "split": "train" + }, + { + "Input": "a 300 meter long train crosses a pla \u019e orm in 39 seconds while it crosses a signal pole in 18 seconds . what is the length of the pla \u019e orm .", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "in a soap company a soap is manufactured with 11 parts . for making one soap you will get 1 part as scrap . at the end of the day you have 251 such scraps . from that how many soaps can be manufactured ?", + "Output Program": [ + "n0 = 11.0\nn1 = 1.0\nn2 = 251.0\nt0 = n0 - 2.0\nt1 = n2 - t0\nt2 = t1 / n0\nt3 = t2 + t0\nt4 = t3 - t0\nt5 = t4 / n0\nt6 = t2 + t5\nt7 = t5 + t0\nt8 = t7 / t7\nanswer = t6 + t8\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a garrison of 1850 men has provisions for 28 days . at the end of 12 days , a reinforcement arrives , and it is now found that the provisions will last only for 10 days more . what is the reinforcement ?", + "Output Program": [ + "n0 = 1850.0\nn1 = 28.0\nn2 = 12.0\nn3 = 10.0\nt0 = n0 * n1\nt1 = n0 * n2\nt2 = t0 - t1\nt3 = t2 / n3\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "1110" + ], + "split": "train" + }, + { + "Input": "a train 150 m long is running at a speed of 62 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?", + "Output Program": [ + "n0 = 150.0\nn1 = 62.0\nn2 = 8.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "9.99920006399488" + ], + "split": "train" + }, + { + "Input": "jamshid can paint a fence in 50 percent less time than taimour can when each works alone . when they work together , they can paint the fence in 5 hours . how long would it take taimour to paint the fence alone ?", + "Output Program": [ + "n0 = 50.0\nn1 = 5.0\n\nanswer = n1 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 15 kmph and downstream at 25 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 15.0\nn1 = 25.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a 160 meter long train crosses a man standing on the platform in 12 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 160.0\nn1 = 12.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "if a truck is traveling at a constant rate of 72 kilometers per hour , how many seconds will it take the truck to travel a distance of 600 meters ? ( 1 kilometer = 1000 meters )", + "Output Program": [ + "n0 = 72.0\nn1 = 600.0\nn2 = 1.0\nn3 = 1000.0\nt0 = n1 / n3\nt1 = t0 / n0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "if daily wages of a man is double to that of a woman , how many men should work for 25 days to earn rs . 14400 ? given that wages for 40 women for 30 days are rs . 21600 .", + "Output Program": [ + "n0 = 25.0\nn1 = 14400.0\nn2 = 40.0\nn3 = 30.0\nn4 = 21600.0\nt0 = n2 * n3\nt1 = n4 / t0\nt2 = t1 * 2.0\nt3 = n0 * t2\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 90 km in the first hour and 40 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 90.0\nn1 = 40.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "train" + }, + { + "Input": "two trains , each 100 m long , moving in opposite directions , cross other in 12 sec . if one is moving twice as fast the other , then the speed of the faster train is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 12.0\nt0 = n0 + n0\nt1 = 1.0 + 2.0\nt2 = n1 * t1\nt3 = t0 / t2\nt4 = t3 * 2.0\nt5 = t4 * 3600.0\nanswer = t5 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "three pipes of same capacity can fill a tank in 8 hours . if there are only two pipes of same capacity , the tank can be filled in ?", + "Output Program": [ + "n0 = 8.0\nt0 = 2.0 / 3.0\nt1 = 1.0 / n0\nt2 = t0 * t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "if dev works alone he will take 20 more hours to complete a task than if he worked with tina to complete the task . if tina works alone , she will take 5 more hours to complete the complete the task , then if she worked with dev to complete the task ? what is the ratio of the time taken by dev to that taken by tina if each of them worked alone to complete the task ?", + "Output Program": [ + "import math\nn0 = 20.0\nn1 = 5.0\nt0 = n0 * n1\nt1 = math.sqrt(max(0, t0))\nt2 = n0 + t1\nt3 = n1 + t1\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a train 140 m long is running with a speed of 50 km / hr . in what time will it pass a man who is running at 4 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 140.0\nn1 = 50.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "9.332586726395222" + ], + "split": "train" + }, + { + "Input": "a train 110 m long is running with a speed of 40 km / hr . in what time will it pass a man who is running at 5 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 40.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "8.799296056315494" + ], + "split": "train" + }, + { + "Input": "john and steve are speed walkers in a race . john is 15 meters behind steve when he begins his final push . john blazes to the finish at a pace of 4.2 m / s , while steve maintains a blistering 3.8 m / s speed . if john finishes the race 2 meters ahead of steve , how long was john \u2019 s final push ?", + "Output Program": [ + "n0 = 15.0\nn1 = 4.2\nn2 = 3.8\nn3 = 2.0\nt0 = n0 + n3\nt1 = n1 - n2\nt2 = n2 * t0\nt3 = t2 / t1\nt4 = t0 + t3\nanswer = t4 / n1\nprint(answer)" + ], + "Output Answer": [ + "42.49999999999996" + ], + "split": "train" + }, + { + "Input": "suresh can complete a job in 15 hours . ashutosh alone can complete the same job in 30 hours . suresh works for 9 hours and then the remaining job is completed by ashutosh . how many hours will it take ashutosh to complete the remaining job alone ?", + "Output Program": [ + "n0 = 15.0\nn1 = 30.0\nn2 = 9.0\nt0 = n2 / n0\nt1 = 1.0 - t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a can complete a project in 20 days and b can complete the same project in 30 days . if a and b start working on the project together and a quits 15 days before the project is completed , in how many days total will the project be completed ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 15.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t1 + t0\nt3 = n2 * t0\nt4 = 1.0 - t3\nt5 = t4 / t2\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "two trains start from p and q respectively and travel towards each other at a speed of 50 km / hr and 40 km / hr respectively . by the time they meet , the first train has travelled 100 km more than the second . the distance between p and q is :", + "Output Program": [ + "n0 = 50.0\nn1 = 40.0\nn2 = 100.0\nt0 = n1 * n2\nt1 = n0 - n1\nt2 = t0 / t1\nt3 = n2 + t2\nanswer = t3 + t2\nprint(answer)" + ], + "Output Answer": [ + "900" + ], + "split": "train" + }, + { + "Input": "a is thrice as good a workman as b and takes 10 days less to do a piece of work than b takes . b alone can do the whole work in", + "Output Program": [ + "n0 = 10.0\nt0 = n0 * 3.0\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 60 min . there is a second pipe in the bottom of the cistern to empty it . if all the two pipes are simultaneously opened , then the cistern is full in 180 min . in how much time , the second pipe alone can empty the cistern ?", + "Output Program": [ + "n0 = 60.0\nn1 = 180.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "ram , who is half as efficient as krish , will take 30 days to complete a task if he worked alone . if ram and krish worked together , how long will they take to complete the task ?", + "Output Program": [ + "n0 = 30.0\nt0 = 1.0 / n0\nt1 = n0 / 2.0\nt2 = 1.0 / t1\nt3 = t0 + t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "on the first day of her vacation , louisa traveled 200 miles . on the second day , traveling at the same average speed , she traveled 350 miles . if the 200 - mile trip took 3 hours less than the 350 - mile trip , what was the average speed , in miles per hour ?", + "Output Program": [ + "n0 = 200.0\nn1 = 350.0\nn2 = 200.0\nn3 = 3.0\nn4 = 350.0\nt0 = n1 - n0\nanswer = t0 / n3\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 40 km and upstream 56 km taking 8 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 40.0\nn1 = 56.0\nn2 = 8.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a 1100 m long train crosses a tree in 110 sec , how much time will it take to pass a platform 700 m long ?", + "Output Program": [ + "n0 = 1100.0\nn1 = 110.0\nn2 = 700.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "one hour after yolanda started walking from x to y , a distance of 31 miles , bob started walking along the same road from y to x . if yolanda ' s walking rate was 3 miles per hour and bob \u0442 ' s was 4 miles per hour , how many miles had bob walked when they met ?", + "Output Program": [ + "n0 = 31.0\nn1 = 3.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = n0 - n1\nt2 = t1 / t0\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "two persons a and b can complete a piece of work in 30 days and 45 days respectively . if they work together , what part of the work will be completed in 5 days ?", + "Output Program": [ + "n0 = 30.0\nn1 = 45.0\nn2 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "0.2777777777777778" + ], + "split": "train" + }, + { + "Input": "an seller earns an income of re 3 on the first day of his business . on every subsequent day , he earns an income which is just thrice of that made on the previous day . on the 15 th day of business , he earns an income of :", + "Output Program": [ + "n0 = 3.0\nn1 = 15.0\nt0 = n1 - n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "75 boys can complete a job in 24 days . how many men need to complete the job twice in 20 days", + "Output Program": [ + "n0 = 75.0\nn1 = 24.0\nn2 = 20.0\nt0 = n1 * 2.0\nt1 = n0 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "a contractor is engaged for 30 days on the condition that he receives rs . 25 for eachday he works & is fined rs . 7.50 for each day is absent . he gets rs . 425 in all . for how many days was heabsent ?", + "Output Program": [ + "n0 = 30.0\nn1 = 25.0\nn2 = 7.5\nn3 = 425.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = n3 + t1\nt3 = t2 / t0\nanswer = n0 - t3\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "light glows for every 14 seconds . how many times did it between 1 : 57 : 58 and 3 : 20 : 47 am", + "Output Program": [ + "n0 = 14.0\nn1 = 1.0\nn2 = 57.0\nn3 = 58.0\nn4 = 3.0\nn5 = 20.0\nn6 = 47.0\nt0 = n6 + 2.0\nt1 = 2.0 + 60.0\nt2 = n5 + t1\nt3 = t2 * 60.0\nt4 = t0 + t3\nanswer = t4 / n0\nprint(answer)" + ], + "Output Answer": [ + "354.92857142857144" + ], + "split": "train" + }, + { + "Input": "if 36 men can do a piece of work in 20 hours , in how mwny hours will 15 men do it ?", + "Output Program": [ + "n0 = 36.0\nn1 = 20.0\nn2 = 15.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "20 beavers , working together in a constant pace , can build a dam in 3 hours . how many hours z will it take 12 beavers that work at the same pace , to build the same dam ?", + "Output Program": [ + "n0 = 20.0\nn1 = 3.0\nn2 = 12.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 160 meters long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 160.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "215" + ], + "split": "train" + }, + { + "Input": "a car that moves at an average speed of 60 kmph , reaches its destination on time . when its average speed becomes 50 kmph , then it reaches its destination 45 minutes late . find the length of journey .", + "Output Program": [ + "n0 = 60.0\nn1 = 50.0\nn2 = 45.0\nt0 = n2 / 60.0\nt1 = n0 - n1\nt2 = n1 * t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "train" + }, + { + "Input": "one pipe can fill a tank in 15 hour . but because of hole in a tank , this tank fill in 20 hour . so in how much time this hole will empty the full tank ?", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "60.000000000000014" + ], + "split": "train" + }, + { + "Input": "the speed of a train is 90 kmph . what is the distance covered by it in 5 minutes ?", + "Output Program": [ + "n0 = 90.0\nn1 = 5.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "p can do a work in 15 days and q cando the same work in 20 days . if they can work together for 4 days , what is the fraction of work left ?", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 4.0\nt0 = 60.0 / n0\nt1 = 60.0 / n1\nt2 = t0 + t1\nt3 = t2 * t0\nt4 = 60.0 - t3\nanswer = t4 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "0.5333333333333333" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 12 minutes and pipe b cam empty it in 24 minutes . if both the pipes are opened together after how many minutes should pipe b be closed , so that the tank is filled in 30 minutes ?", + "Output Program": [ + "n0 = 12.0\nn1 = 24.0\nn2 = 30.0\nt0 = n2 / n0\nt1 = t0 - 1.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a walks at 10 kmph and 5 hours after his start , b cycles after him at 20 kmph . how far from the start does b catch up with a ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nn2 = 20.0\n\nanswer = n1 * n2\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a man can row 8 kmph in still water . when the river is running at 1.8 kmph , it takes him 2 hour to row to a place and back . what is the total distance traveled by the man ?", + "Output Program": [ + "n0 = 8.0\nn1 = 1.8\nn2 = 2.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "7.595000000000001" + ], + "split": "train" + }, + { + "Input": "a cube of side 5 cm is painted on all its side . if it is sliced into 1 cubic centimer cubes , how many 1 cubic centimeter cubes will have exactly one of their sides painted ?", + "Output Program": [ + "n0 = 5.0\nn1 = 1.0\nn2 = 1.0\nt0 = 6 * n0**2 # surface of a cube\nt1 = t0 / 3.0\nanswer = t1 + 4.0\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "two trains are moving in the same direction at 108 kmph and 36 kmph . the faster train crosses the slower train in 17 seconds . find the length of the faster train in meters .", + "Output Program": [ + "n0 = 108.0\nn1 = 36.0\nn2 = 17.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "340" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 500 metre long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 500.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "29.997600191984642" + ], + "split": "train" + }, + { + "Input": "in a garden , 26 trees are planted at equal distances along a yard 500 metres long , one tree being at each end of the yard . what is the distance between two consecutive trees ?", + "Output Program": [ + "n0 = 26.0\nn1 = 500.0\nt0 = n0 - 1.0\nanswer = n1 / t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a is half good a work man as b and together they finish a job in 18 days . in how many days working alone b finish the job ?", + "Output Program": [ + "n0 = 18.0\nt0 = 3.0 / 2.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "an engine moves at the speed of 60 kmph without any coaches attached to it . speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached . when 4 coaches are attached speed decreases to 48 kmph . what will be the speed of train when 36 coaches are attached .", + "Output Program": [ + "import math\nn0 = 60.0\nn1 = 4.0\nn2 = 48.0\nn3 = 36.0\nt0 = math.sqrt(max(0, n1))\nt1 = math.sqrt(max(0, n3))\nt2 = n0 - n2\nt3 = t2 / t0\nt4 = t3 * t1\nanswer = n0 - t4\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "the rear \u2013 most end of a 66 foot truck exits a 330 foot tunnel exactly 6 seconds after the front \u2013 most end of the truck entered the tunnel . if the truck traveled the entire tunnel at a uniform speed , what is the speed of the truck in miles per hour ( 1 mile = 5,280 feet ) ?", + "Output Program": [ + "n0 = 66.0\nn1 = 330.0\nn2 = 6.0\nn3 = 1.0\nn4 = 5280.0\nt0 = n0 + n1\nt1 = 1.0 + 4.0\nt2 = 100.0 * 3.0\nt3 = 10.0 * 2.0\nt4 = t0 / n2\nt5 = t1 * 1000.0\nt6 = t2 - t3\nt7 = t5 + t6\nt8 = t4 * 3600.0\nanswer = t8 / t7\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 800 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 800.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "16500" + ], + "split": "train" + }, + { + "Input": "on a map , 1 inch represents 28 miles . how many inches would be necessary to represent a distance of 383.6 miles ?", + "Output Program": [ + "n0 = 1.0\nn1 = 28.0\nn2 = 383.6\n\nanswer = n2 / n1\nprint(answer)" + ], + "Output Answer": [ + "13.700000000000001" + ], + "split": "train" + }, + { + "Input": "a car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 3 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?", + "Output Program": [ + "n0 = 462.0\nn1 = 336.0\nn2 = 3.0\nt0 = n0 - n1\nt1 = t0 / n2\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "at a speed of 60 miles per hour , a certain car uses 1 gallon of gasoline every 30 miles . if the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 60 miles per hour , the amount of gasoline used would be what fraction of a full tank ?", + "Output Program": [ + "n0 = 60.0\nn1 = 1.0\nn2 = 30.0\nn3 = 12.0\nn4 = 5.0\nn5 = 60.0\nt0 = n0 * n4\nt1 = t0 / n2\nanswer = t1 / n3\nprint(answer)" + ], + "Output Answer": [ + "0.8333333333333334" + ], + "split": "train" + }, + { + "Input": "on a map , 2 inches represent 30 miles . how many miles approximately is the distance if you measured 38 centimeters assuming that 1 - inch is 2.54 centimeters ?", + "Output Program": [ + "n0 = 2.0\nn1 = 30.0\nn2 = 38.0\nn3 = 1.0\nn4 = 2.54\nt0 = n2 / n4\nt1 = n1 / n0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "224.40944881889763" + ], + "split": "train" + }, + { + "Input": "walking at 25 % of his usual speed a man takes 24 minutes more to cover a distance . what is his usual time to cover this distance ?", + "Output Program": [ + "n0 = 25.0\nn1 = 24.0\nt0 = n0 / 100.0\nt1 = 1.0 / t0\nt2 = t1 - 1.0\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a company has a hierarchical system where for every 10 workers , there is one team lead , and for every 3 teams leads , there is one supervisor . if the company has 13 supervisors , how many workers does it have ?", + "Output Program": [ + "n0 = 10.0\nn1 = 3.0\nn2 = 13.0\nt0 = n1 * n2\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "390" + ], + "split": "train" + }, + { + "Input": "a train 240 m in length crosses a telegraph post in 16 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 240.0\nn1 = 16.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "a can do a particular work in 6 days . b can do the same work in 8 days . a and b signed to do it for rs . 2400 . they completed the work in 3 days with the help of c . how much is to be paid to c ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 2400.0\nn3 = 3.0\nt0 = 1.0 / n3\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = t1 + t2\nt4 = t0 - t3\nt5 = n3 * t4\nanswer = n2 * t5\nprint(answer)" + ], + "Output Answer": [ + "300.0000000000001" + ], + "split": "train" + }, + { + "Input": "if two typists can type two pages in two minutes , how many typists will it take to type 25 pages in 5 minutes ?", + "Output Program": [ + "n0 = 25.0\nn1 = 5.0\nt0 = 1.0 / 2.0\nt1 = n0 / t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 21 seconds . find the length of the train .", + "Output Program": [ + "n0 = 60.0\nn1 = 21.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "a factory produces 4340 toys per week . if the workers at this factory work 2 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?", + "Output Program": [ + "n0 = 4340.0\nn1 = 2.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "2170" + ], + "split": "train" + }, + { + "Input": "on a map , 1 inch represents 28 miles . how many z inches would be necessary to represent a distance of 383.6 miles ?", + "Output Program": [ + "n0 = 1.0\nn1 = 28.0\nn2 = 383.6\n\nanswer = n2 / n1\nprint(answer)" + ], + "Output Answer": [ + "13.700000000000001" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a train is 54 kmph and including stoppages it is 40 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 54.0\nn1 = 40.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "15.555555555555557" + ], + "split": "train" + }, + { + "Input": "a train 385 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 385.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "if 12 men or 20 women can do a piece of work in 54 days , then in how many days can 9 men and 39 women together do the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\nn2 = 54.0\nn3 = 9.0\nn4 = 39.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = n3 / t0\nt3 = n4 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "if a car had traveled 35 kmh faster than it actually did , the trip would have lasted 30 minutes less . if the car went exactly 105 km , at what speed did it travel ?", + "Output Program": [ + "import math\nn0 = 35.0\nn1 = 30.0\nn2 = 105.0\nt0 = n0 * n2\nt1 = n0**min(2.0, 5)\nt2 = t0 * 2.0\nt3 = t2 * 4.0\nt4 = t3 + t1\nt5 = math.sqrt(max(0, t4))\nt6 = t5 - n0\nanswer = t6 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "a cistern 8 m long and 6 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "83" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 30 km / hr crosses a pole in 9 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 30.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "two trains 137 meters and 163 meters in length are running towards each other on parallel lines , one at the rate of 42 kmph and another at 48 kmpb . in what time will they be clear of each other from the moment they meet", + "Output Program": [ + "n0 = 137.0\nn1 = 163.0\nn2 = 42.0\nn3 = 48.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 1000.0\nt3 = t2 / 3600.0\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "two good train each 650 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one .", + "Output Program": [ + "n0 = 650.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = 1 / t1\nt3 = n0 * t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "62.395008399328056" + ], + "split": "train" + }, + { + "Input": "the length of a train and that of a platform are equal . if with a speed of 216 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?", + "Output Program": [ + "n0 = 216.0\nt0 = 60.0 / 1.0\nt1 = n0 * 1000.0\nt2 = t1 / t0\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1800" + ], + "split": "train" + }, + { + "Input": "if it takes a machine 4 \u2044 5 minute to produce one item , how many items will it produce in 2 hours ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 2.0\nt0 = n0 / n1\nt1 = n2 * 60.0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "john and david work at a hospital with 10 other workers . for an internal review , 2 of the 10 workers will be randomly chosen to be interviewed . what is the probability that john and david will both be chosen ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 10.0\nt0 = 1.0 / n0\nt1 = n0 - 1.0\nt2 = 1.0 / t1\nt3 = t2 * t0\nanswer = n1 * t3\nprint(answer)" + ], + "Output Answer": [ + "0.022222222222222223" + ], + "split": "train" + }, + { + "Input": "one hour after yolanda started walking from x to y , a distance of 65 miles , bob started walking along the same road from y to x . if yolanda \u00e2 s walking rate was 5 miles per hour and bob \u00e2 s was 7 miles per hour , how many miles had bob walked when they met ?", + "Output Program": [ + "n0 = 65.0\nn1 = 5.0\nn2 = 7.0\nt0 = n1 + n2\nt1 = n0 - n1\nt2 = t1 / t0\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "at a speed of 40 miles per hour , a certain car uses 1 gallon of gasoline every 40 miles . if the car starts with a full 12 gallon tank of gasoline and travels for 5 hours at 40 miles per hour , the amount of gasoline used would be what fraction of a full tank ?", + "Output Program": [ + "n0 = 40.0\nn1 = 1.0\nn2 = 40.0\nn3 = 12.0\nn4 = 5.0\nn5 = 40.0\nt0 = n0 * n4\nt1 = t0 / n2\nanswer = t1 / n3\nprint(answer)" + ], + "Output Answer": [ + "0.4166666666666667" + ], + "split": "train" + }, + { + "Input": "a can do a work in 20 days , b in 30 days . a alone start the work after 10 days he left work . in how many days b can finish the work ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = n2 * t0\nt3 = 1.0 - t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "calculate the time it will take for a train that is 240 meter long to pass a bridge of 130 meter length , if the speed of the train is 50 km / hour ?", + "Output Program": [ + "n0 = 240.0\nn1 = 130.0\nn2 = 50.0\nt0 = n0 + n1\nt1 = n2 / 3.6\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "26.64" + ], + "split": "train" + }, + { + "Input": "the current in a river is 4 mph . a boat can travel 18 mph in still water . how far up the river can the boat travel if the round trip is to take 10 hours ?", + "Output Program": [ + "n0 = 4.0\nn1 = 18.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = n1 - n0\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n2 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "85.55555555555556" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 12 cm .", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 12.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "228" + ], + "split": "train" + }, + { + "Input": "joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 6 of all the paint . during the second week , he uses 1 / 5 of the remaining paint . how many gallons of paint has joe used ?", + "Output Program": [ + "n0 = 360.0\nn1 = 1.0\nn2 = 6.0\nn3 = 1.0\nn4 = 5.0\nt0 = n0 / n2\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n4\nanswer = t3 + t1\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "the e train leaves station a moving at a constant speed , and passes by stations b and c , in this order . it takes the e train 7 hours to reach station b , and 5 additional hours to reach station c . the distance between stations a and b is m kilometers longer than the distance between stations b and c . what is the distance between stations a and c in terms of m ?", + "Output Program": [ + "n0 = 7.0\nn1 = 5.0\nt0 = n0 + n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a and b working together could mow a field in 28 days and with the help of c they could have mowed it in 21 days . how long would c take by himself ?", + "Output Program": [ + "n0 = 28.0\nn1 = 21.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "train" + }, + { + "Input": "a and b can do a work in 12 days , b and c in 30 days and c and a in 36 days . in how many days will the work be completed , if all three of them work together ?", + "Output Program": [ + "n0 = 12.0\nn1 = 30.0\nn2 = 36.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = t4 / 2.0\nanswer = 1.0 / t5\nprint(answer)" + ], + "Output Answer": [ + "13.846153846153847" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 18 days ; band c can do it in 24 days a and c can do it in 36 days . in how many days will a , band c finish it together ?", + "Output Program": [ + "n0 = 18.0\nn1 = 24.0\nn2 = 36.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = t4 / 2.0\nanswer = 1.0 / t5\nprint(answer)" + ], + "Output Answer": [ + "16.000000000000004" + ], + "split": "train" + }, + { + "Input": "two trains 140 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time ( in seconds ) which they take to cross each other , is :", + "Output Program": [ + "n0 = 140.0\nn1 = 160.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "10.799136069114471" + ], + "split": "train" + }, + { + "Input": "a goods train runs at a speed of 72 kmph and crosses a 250 m long platform in 26 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 250.0\nn2 = 26.0\nt0 = n0 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n1\nprint(answer)" + ], + "Output Answer": [ + "270.0416" + ], + "split": "train" + }, + { + "Input": "a vessel of capacity 30 litres is fully filled with pure milk . nine litres of milk is removed from the vessel and replaced with water . nine litres of the solution thus formed is removed and replaced with water . find the quantity of pure milk in the final milk solution ?", + "Output Program": [ + "n0 = 30.0\nt0 = 3.0 * 3.0\nt1 = n0 - t0\nt2 = t1 / n0\nt3 = t2 * t0\nanswer = t1 - t3\nprint(answer)" + ], + "Output Answer": [ + "14.7" + ], + "split": "train" + }, + { + "Input": "how many cubes of 50 cm edge can be put in a cubical box of 1 m edge .", + "Output Program": [ + "n0 = 50.0\nn1 = 1.0\nt0 = n0 / 100.0\nt1 = n1**3\nt2 = t0**3\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "how many cubes of 10 cm edge can be put in a cubical box of 1 m edge", + "Output Program": [ + "n0 = 10.0\nn1 = 1.0\nt0 = n0 / 100.0\nt1 = n1**3\nt2 = t0**3\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "999.9999999999998" + ], + "split": "train" + }, + { + "Input": "a motorcyclist started riding at highway marker a , drove 120 miles to highway marker b , and then , without pausing , continued to highway marker c , where she stopped . the average speed of the motorcyclist , over the course of the entire trip , was 25 miles per hour . if the ride from marker a to marker b lasted 3 times as many hours as the rest of the ride , and the distance from marker b to marker c was half of the distance from marker a to marker b , what was the average speed , in miles per hour , of the motorcyclist while driving from marker b to marker c ?", + "Output Program": [ + "n0 = 120.0\nn1 = 25.0\nn2 = 3.0\nt0 = n0 / 2.0\nt1 = n0 + t0\nt2 = t1 / n1\nt3 = t2 / 4.0\nanswer = t3 * t0\nprint(answer)" + ], + "Output Answer": [ + "108" + ], + "split": "train" + }, + { + "Input": "two trains a and b starting from two points and travelling in opposite directions , reach their destinations 9 hours and 4 hours respectively after meeting each other . if the train a travels at 70 kmph , find the rate at which the train b runs .", + "Output Program": [ + "import math\nn0 = 9.0\nn1 = 4.0\nn2 = 70.0\nt0 = n0 / n1\nt1 = math.sqrt(max(0, t0))\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "105" + ], + "split": "train" + }, + { + "Input": "a can give b 100 meters start and c 150 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 100.0\nn1 = 150.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "55.55555555555554" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 6 hours . due to a leak at the bottom , it takes 8 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a man covers a distance on scooter . had he moved 3 kmph faster he would have taken 40 min less . if he had moved 2 kmph slower , he would have taken 40 min more . the distance is .", + "Output Program": [ + "n0 = 3.0\nn1 = 40.0\nn2 = 2.0\nn3 = 40.0\nt0 = n1 / n2\nt1 = n1 * 100.0\nt2 = t1 / n1\nt3 = t0 * 3.0\nanswer = t2 - t3\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "p is 50 % more efficient than q . p can complete a work in 25 days . if p and q work together , how many days will it take to complete the same work ?", + "Output Program": [ + "n0 = 50.0\nn1 = 25.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 + 1.0\nt3 = n1 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 4 hours . a and c together can do it in just 2 hours , while b and c together need 3 hours to finish the same work . b alone can complete the work in - - - hours .", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 3.0\nt0 = 1 / n2\nt1 = 1 / n1\nt2 = 1 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "train" + }, + { + "Input": "the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1.10 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?", + "Output Program": [ + "import math\nn0 = 3136.0\nn1 = 3.0\nn2 = 1.1\nn3 = 1.0\nt0 = n3 * 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 * 4.0\nt3 = t2 - t0\nt4 = n2 * t3\nanswer = t4 * n1\nprint(answer)" + ], + "Output Answer": [ + "732.6" + ], + "split": "train" + }, + { + "Input": "how many bricks , each measuring 50 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8 m x 6 m x 22.5 cm ?", + "Output Program": [ + "n0 = 50.0\nn1 = 11.25\nn2 = 6.0\nn3 = 8.0\nn4 = 6.0\nn5 = 22.5\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "3200" + ], + "split": "train" + }, + { + "Input": "if teena is driving at 55 miles per hour and is currently 7.5 miles behind yoe , who is driving at 40 miles per hour in the same direction then in how many minutes will teena be 15 miles ahead of yoe ?", + "Output Program": [ + "n0 = 55.0\nn1 = 7.5\nn2 = 40.0\nn3 = 15.0\nt0 = n0 - n2\nt1 = n1 + t0\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late . had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late . what is the speed q of the train .", + "Output Program": [ + "n0 = 50.0\nn1 = 3.0\nn2 = 4.0\nn3 = 35.0\nn4 = 24.0\nn5 = 25.0\nt0 = n2 * n4\nt1 = n3 - n5\nt2 = n0 + t1\nt3 = t0 / 3.0\nt4 = t2 / t1\nt5 = t3 - n4\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "a goes to place x and b goes to place y . after a travelled 180 km more than b they together meet at a point between xy . they together had their lunch for half an hour . after that a took 2 hrs to reach x and b took 4.5 hrs to reach y . find distance between x and y ?", + "Output Program": [ + "n0 = 180.0\nn1 = 2.0\nn2 = 4.5\nt0 = n0 * n1\nt1 = n1 * t0\nanswer = n0 + t1\nprint(answer)" + ], + "Output Answer": [ + "900" + ], + "split": "train" + }, + { + "Input": "a train 140 m long is running at 60 kmph . in how much time will it pass a platform 260 m long ?", + "Output Program": [ + "n0 = 140.0\nn1 = 60.0\nn2 = 260.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "23.998080153587715" + ], + "split": "train" + }, + { + "Input": "with both valves open , the pool will be filled with water in 48 minutes . the first valve alone would fill the pool in 2 hours . if the second valve emits 50 cubic meters of water more than the first every minute , then what is the capacity r of the pool ?", + "Output Program": [ + "n0 = 48.0\nn1 = 2.0\nn2 = 50.0\nt0 = 1.0 + 4.0\nt1 = n0 / 60.0\nt2 = t0 * t1\nt3 = t2 * 60.0\nanswer = n2 * t3\nprint(answer)" + ], + "Output Answer": [ + "12000" + ], + "split": "train" + }, + { + "Input": "a 290 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds . what is the lenght of other train .", + "Output Program": [ + "n0 = 290.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "210.03999999999996" + ], + "split": "train" + }, + { + "Input": "the area of a rectangular field is 144 m 2 . if the length had been 6 metres more , the area would have been 54 m 2 more . the original length of the field is", + "Output Program": [ + "n0 = 144.0\nn1 = 2.0\nn2 = 6.0\nn3 = 54.0\nn4 = 2.0\nt0 = n0 + n3\nt1 = n0 * n2\nt2 = t0 - n0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "p , q and r together earn rs . 1980 in 9 days . p and r can earn rs . 600 in 5 days . q and r in 7 days can earn rs . 910 . how much amount does r can earn per day ?", + "Output Program": [ + "n0 = 1980.0\nn1 = 9.0\nn2 = 600.0\nn3 = 5.0\nn4 = 7.0\nn5 = 910.0\nt0 = n2 / n3\nt1 = n5 / n4\nt2 = n0 / n1\nt3 = t0 + t1\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "amar takes as much time in running 12 meters as a car takes in covering 45 meters . what will be the distance covered by amar during the time the car covers 1.4 km ?", + "Output Program": [ + "n0 = 12.0\nn1 = 45.0\nn2 = 1.4\nt0 = n2 * 1000.0\nt1 = n0 * t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "373.3333333333333" + ], + "split": "train" + }, + { + "Input": "sari and ken climb up a mountain . at night , they camp together . on the day they are supposed to reach the summit , sari wakes up at 05 : 00 and starts climbing at a constant pace . ken starts climbing only at 07 : 00 , when sari is already 700 meters ahead of him . nevertheless , ken climbs at a constant pace of 500 meters per hour , and reaches the summit before sari . if sari is 50 meters behind ken when he reaches the summit , at what time did ken reach the summit ?", + "Output Program": [ + "n0 = 5.0\nn1 = 0.0\nn2 = 7.0\nn3 = 0.0\nn4 = 700.0\nn5 = 500.0\nn6 = 50.0\nt0 = n4 + n6\nt1 = n4 / 2.0\nt2 = n5 - t1\nt3 = t0 / t2\nanswer = n2 + t3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a , band c can do a piece of work in 11 days , 45 days and 55 days respectively , working alone . how soon can the work be done if a is assisted by band c on alternate days ?", + "Output Program": [ + "n0 = 11.0\nn1 = 45.0\nn2 = 55.0\nt0 = n2 / n0\nt1 = n2 / n1\nt2 = n2 / n2\nt3 = t0 + t1\nt4 = t0 + t2\nt5 = t3 + t4\nt6 = t5 / 2.0\nanswer = n2 / t6\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "suresh can complete a job in 15 hours . ashutosh alone can complete the same job in 20 hours . suresh works for 9 hours and then the remaining job is completed by ashutosh . how many hours will it take ashutosh to complete the remaining job alone ?", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 9.0\nt0 = n2 / n0\nt1 = 1.0 - t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a boy is travelling from his home to school at 6 km / hr and reached 7 min late . next day he travelled at 12 km / hr and reached 8 min early . distance between home and school ?", + "Output Program": [ + "n0 = 6.0\nn1 = 7.0\nn2 = 12.0\nn3 = 8.0\nt0 = n1 / 60.0\nt1 = n3 / 60.0\nt2 = 1.0 / n2\nt3 = t0 + t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "44 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be :", + "Output Program": [ + "n0 = 44.0\nn1 = 1.0\nt0 = n1 / 2.0\nt1 = t0**min(2.0, 5)\nt2 = t1 * 3.141592653589793\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "56.02253996834716" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 24 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 84 km downstream", + "Output Program": [ + "n0 = 24.0\nn1 = 4.0\nn2 = 84.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a train of length 250 m runs at a speed of 70 km / hr . what will be the time taken to cross any stationary object standing at the railway station ?", + "Output Program": [ + "n0 = 250.0\nn1 = 70.0\nt0 = n1 / 3.6\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "12.857142857142858" + ], + "split": "train" + }, + { + "Input": "pipe a fills a tank of capacity 900 liters at the rate of 40 liters a minute . another pipe b fills the same tank at the rate of 30 liters a minute . a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute . if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated , when will the tank be full ?", + "Output Program": [ + "n0 = 900.0\nn1 = 40.0\nn2 = 30.0\nn3 = 20.0\nt0 = n1 + n2\nt1 = t0 - n3\nt2 = n0 / t1\nanswer = t2 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days z do they need to finish the same job ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 3.0\nn3 = 4.0\nt0 = n0 + n3\nt1 = n0 * n1\nt2 = n0 * n2\nt3 = t1 - t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a and b can do a work in 20 days , b and c can do it in 30 days ; a , b and c together can finish it in 40 days . a and c together will do it in ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 40.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = 1.0 / n2\nt3 = t1 - t2\nt4 = t0 - t3\nt5 = t4 + t3\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "two pipes p and q can fill a cistern in 12 and 15 minutes respectively . both are opened together , but at the end of 6 minutes the first is turned off . how many more minutes will it take for the cistern to fill after the first pipe is turned off ?", + "Output Program": [ + "n0 = 12.0\nn1 = 15.0\nn2 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = t2 * n2\nt4 = 1.0 - t3\nanswer = n1 * t4\nprint(answer)" + ], + "Output Answer": [ + "1.5000000000000013" + ], + "split": "train" + }, + { + "Input": "the length of a bridge in meters , which a train 80 - meters long and traveling at 45 km / hr can cross in 30 seconds is ?", + "Output Program": [ + "n0 = 80.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 * 1000.0\nt1 = t0 / 3600.0\nt2 = n2 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "295" + ], + "split": "train" + }, + { + "Input": "a , b , c , d and e are 5 consecutive points on a straight line . if bc = 2 cd , de = 4 , ab = 5 and ac = 11 , what is the length of ae ?", + "Output Program": [ + "n0 = 5.0\nn1 = 2.0\nn2 = 4.0\nn3 = 5.0\nn4 = 11.0\nt0 = n4 - n0\nt1 = t0 / n1\nt2 = n4 + t1\nanswer = n2 + t2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a train leaves delhi at 9 a . m . at a speed of 35 kmph . another train leaves at 2 p . m . at a speed of 40 kmph on the same day and in the same direction . how far from delhi , will the two trains meet ?", + "Output Program": [ + "n0 = 9.0\nn1 = 35.0\nn2 = 2.0\nn3 = 40.0\nt0 = n2 + 3.0\nt1 = n3 - n1\nt2 = n1 * t0\nt3 = t2 / t1\nanswer = n3 * t3\nprint(answer)" + ], + "Output Answer": [ + "1400" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a train is 45 kmph and including stoppages it is 42 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 45.0\nn1 = 42.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a rower can row 6 km / h in still water . when the river is running at 2 km / h , it takes the rower 1 hour to row to big rock and back . how many kilometers is it to big rock ?", + "Output Program": [ + "n0 = 6.0\nn1 = 2.0\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t1 / t2\nanswer = t0 * t3\nprint(answer)" + ], + "Output Answer": [ + "2.6666666666666665" + ], + "split": "train" + }, + { + "Input": "how many seconds does puja take to cover a distance of 500 m , if she runs at a speed of 30 km / hr ?", + "Output Program": [ + "n0 = 500.0\nn1 = 30.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "59.995200383969284" + ], + "split": "train" + }, + { + "Input": "35 binders can bind 1400 books in 21 days . how many binders will be required to bind 1600 books in 20 days ?", + "Output Program": [ + "n0 = 35.0\nn1 = 1400.0\nn2 = 21.0\nn3 = 1600.0\nn4 = 20.0\nt0 = n3 / n4\nt1 = n0 * n2\nt2 = n1 / t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "a works twice as fast as b . if b can complete a work in 12 days independently , the number of days in which a and b can together finish the work in :", + "Output Program": [ + "n0 = 12.0\nt0 = 1.0 / n0\nt1 = t0 * 2.0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a monkey start climbing up a tree 17 ft tall . each hour it hops 3 ft and slips back 2 ft . how much time would it take the monkey to reach the top .", + "Output Program": [ + "n0 = 17.0\nn1 = 3.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = n0 / t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a can do a particular work in 6 days . b can do the same work in 8 days . a and b signed to do it for rs . 3200 . they completed the work in 3 days with the help of c . how much is to be paid to c ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 3200.0\nn3 = 3.0\nt0 = 1.0 / n3\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = t1 + t2\nt4 = t0 - t3\nt5 = n3 * t4\nanswer = n2 * t5\nprint(answer)" + ], + "Output Answer": [ + "400.00000000000017" + ], + "split": "train" + }, + { + "Input": "a train requires 10 seconds to pass a pole while it requires 40 seconds to cross a stationary train which is 300 mtrs long . find the speed of the train .", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nn2 = 300.0\nt0 = n1 - n0\nt1 = n2 / t0\nanswer = t1 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "two trains are running in opposite directions in the same speed . the length of each train is 120 meter . if they cross each other in 4 seconds , the speed of each train ( in km / hr ) is", + "Output Program": [ + "n0 = 120.0\nn1 = 4.0\nt0 = n0 + n0\nt1 = t0 / n1\nt2 = t1 / 2.0\nanswer = t2 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "108" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours . if both the taps are opened simultaneously , then after how much time cistern will get filled ?", + "Output Program": [ + "n0 = 4.0\nn1 = 9.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.199999999999999" + ], + "split": "train" + }, + { + "Input": "a wooden box of dimensions 4 m x 2 m x 4 m is to carry rectangularboxes of dimensions 4 cm x 2 cm x 2 cm . the maximum number ofboxes that can be carried in the wooden box , is", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 4.0\nn3 = 4.0\nn4 = 2.0\nn5 = 2.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n1 * t2\nt5 = t3 * t0\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "2000000" + ], + "split": "train" + }, + { + "Input": "if two projectiles are launched at the same moment from 1182 km apart and travel directly towards each other at 460 km per hour and 525 km per hour respectively , how many minutes will it take for them to meet ?", + "Output Program": [ + "n0 = 1182.0\nn1 = 460.0\nn2 = 525.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "a metallic sphere of radius 12 cm is melted and drawn into a wire , whose radius of cross section is 8 cm . what is the length of the wire ?", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nt0 = n0**min(3.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 / t1\nt3 = t2 * 4.0\nanswer = t3 / 3.0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "two cars are traveling in the same direction along the same route . the red car travels at a constant speed of 40 miles per hour , and the black car is traveling at a constant speed of 50 miles per hour . if the red car is 30 miles ahead of the black car , how many hours will it take the black car to overtake the red car ?", + "Output Program": [ + "n0 = 40.0\nn1 = 50.0\nn2 = 30.0\nt0 = n1 - n0\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "pipe a fills a tank of capacity 750 liters at the rate of 40 liters a minute . another pipe b fills the same tank at the rate of 30 liters a minute . a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute . if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated , when will the tank be full ?", + "Output Program": [ + "n0 = 750.0\nn1 = 40.0\nn2 = 30.0\nn3 = 20.0\nt0 = n1 + n2\nt1 = t0 - n3\nt2 = n0 / t1\nanswer = t2 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 17 seconds . what is the length of the platform in meters ?", + "Output Program": [ + "n0 = 72.0\nn1 = 30.0\nn2 = 17.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nt2 = n1 * t1\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" + ], + "Output Answer": [ + "260" + ], + "split": "train" + }, + { + "Input": "two numbers have a h . c . f of 14 and a product of two numbers is 2562 . find the l . c . m of the two numbers ?", + "Output Program": [ + "n0 = 14.0\nn1 = 2562.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "183" + ], + "split": "train" + }, + { + "Input": "a train 200 meters long completely crosses a 300 meters long bridge in 45 seconds . what is the speed of the train is ?", + "Output Program": [ + "n0 = 200.0\nn1 = 300.0\nn2 = 45.0\nt0 = n0 + n1\nt1 = n2 / 3600.0\nt2 = t0 / 1000.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "if 4 men working 10 hours a day earn rs . 1200 per week , then 9 men working 6 hours a day will earn how much per week ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nn2 = 1200.0\nn3 = 9.0\nn4 = 6.0\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "1620" + ], + "split": "train" + }, + { + "Input": "a cistern 8 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm . what is the total area of the wet surface ?", + "Output Program": [ + "n0 = 8.0\nn1 = 4.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 * 2.0\nt6 = t4 * 2.0\nt7 = t1 + t5\nanswer = t7 + t6\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 125 m long and traveling at 45 km / hr can cross in 30 sec is ?", + "Output Program": [ + "n0 = 125.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "train" + }, + { + "Input": "there are 250 men and 150 women in a committee , if all will work they will complete 12 units per day , if all men work they will complete 15 units per day , how many units will women complete per day ?", + "Output Program": [ + "n0 = 250.0\nn1 = 150.0\nn2 = 12.0\nn3 = 15.0\n\nanswer = n3 - n2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "the lenght of a room is 5.5 m and width is 4 m . find the cost of paving the floor by slabs at the rate of rs . 700 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 4.0\nn2 = 700.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "15400" + ], + "split": "train" + }, + { + "Input": "a car takes 6 hours to cover a distance of 270 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 270.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a and b finish the job in 15 days . while a , b and c can finish it in 12 days . c alone will finish the job in", + "Output Program": [ + "n0 = 15.0\nn1 = 12.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "30 men can do a work in 40 days . when should 16 men leave the work so that the entire work is completed in 40 days after they leave the work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 16.0\nn3 = 40.0\nt0 = n0 * n1\nt1 = n1 * n2\nt2 = t0 - t1\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "two stations p and q are 200 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ?", + "Output Program": [ + "n0 = 200.0\nn1 = 7.0\nn2 = 20.0\nn3 = 8.0\nn4 = 25.0\nt0 = n0 + n4\nt1 = n2 + n4\nt2 = t0 / t1\nanswer = n1 + t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "there is food for 760 men for 22 days . how many more men should join after two days so that the same food may last for 17 days more ?", + "Output Program": [ + "n0 = 760.0\nn1 = 22.0\nn2 = 17.0\nt0 = n1 - 2.0\nt1 = n0 * t0\nt2 = t1 / n2\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "134.11764705882354" + ], + "split": "train" + }, + { + "Input": "if 6 parallel lines in a plane is intersected by a family of another 8 parallel lines , how many parallelograms are there in the network thus formed ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nt0 = n0 - 1.0\nt1 = n1 - 1.0\nt2 = n0 * t0\nt3 = n1 * t1\nt4 = t2 / 2.0\nt5 = t3 / 2.0\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "420" + ], + "split": "train" + }, + { + "Input": "10 men and 15 women finish a work in 6 days . one man alone finishes that work in 100 days . in how many days will a woman finish the work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 6.0\nn3 = 100.0\nt0 = 1.0 / n2\nt1 = 1.0 / n3\nt2 = n0 * t1\nt3 = t0 - t2\nt4 = t3 / n1\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "225.00000000000006" + ], + "split": "train" + }, + { + "Input": "a thief is spotted by a policeman from a distance of 100 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ?", + "Output Program": [ + "n0 = 100.0\nn1 = 8.0\nn2 = 10.0\nt0 = n0 * n1\nt1 = n2 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "a certain industrial loom weaves 0.132 meters of cloth every second . approximately how many seconds will it take for the loom to weave 15 meters of cloth ?", + "Output Program": [ + "n0 = 0.132\nn1 = 15.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "113.63636363636363" + ], + "split": "train" + }, + { + "Input": "the length of a side of a hexagon is 8 inches . what is the perimeter ?", + "Output Program": [ + "n0 = 8.0\nt0 = 2.0 * 3.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "nicky and cristina are running a race . since cristina is faster than nicky , she gives him a 36 meter head start . if cristina runs at a pace of 6 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ?", + "Output Program": [ + "n0 = 36.0\nn1 = 6.0\nn2 = 3.0\nt0 = n1 - n2\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "it takes 35 identical printing presses 12 hours to print 500,000 papers . how many hours would it take 30 of these printing presses to print 500,000 papers ?", + "Output Program": [ + "n0 = 35.0\nn1 = 12.0\nn2 = 500000.0\nn3 = 30.0\nn4 = 500000.0\nt0 = 1000.0 / 2.0\nt1 = t0 * 1000.0\nt2 = t1 / n0\nt3 = t2 / n1\nt4 = n3 * t3\nanswer = t1 / t4\nprint(answer)" + ], + "Output Answer": [ + "13.999999999999998" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 24 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 168 km downstream", + "Output Program": [ + "n0 = 24.0\nn1 = 4.0\nn2 = 168.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a cistern is normally filled in 10 hrs , but takes 2 hrs longer to fill because of a leak on its bottom , if cistern is full , how much time citern would empty ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nt0 = n0 + n1\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t1 - t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "59.999999999999964" + ], + "split": "train" + }, + { + "Input": "a rectangular plot measuring 90 metres by 60 metres is to be enclosed by wire fencing . if the poles of the fence are kept 5 metres apart , how many poles will be needed ?", + "Output Program": [ + "n0 = 90.0\nn1 = 60.0\nn2 = 5.0\nt0 = 2 * (n0 + n1) # perimetere of rectangle\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a 1200 m long train crosses a tree in 80 sec , how much time will i take to pass a platform 1000 m long ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 80.0\nn2 = 1000.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "146.66666666666666" + ], + "split": "train" + }, + { + "Input": "how many shots of 1 cm radius can be prepared from a sphere of 7 cm radius ?", + "Output Program": [ + "n0 = 1.0\nn1 = 7.0\nt0 = n1**min(2.0, 5)\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "343" + ], + "split": "train" + }, + { + "Input": "a river boat leaves silver town and travels upstream to gold town at an average speed of 6 kilometers per hour . it returns by the same route at an average speed of 3 kilometers per hour . what is the average speed for the round - trip in kilometers per hour ?", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = t1 * 2.0\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "points x , y , and z lie , in that order , on a straight railroad track . the distance from point x to point y is twice the distance from point y to point z . a train traveled from point x to point z without stopping . the train ' s average speed when traveling from point x to point y was 300 miles per hour and the train ' s average speed when traveling from point y to point z was 100 miles per hour . what was the train ' s average speed , in miles per hour , when traveling from point x to point z ?", + "Output Program": [ + "n0 = 300.0\nn1 = 100.0\nt0 = n0 / n1\nt1 = 2.0 / t0\nt2 = t1 + 1.0\nt3 = 3.0 / t2\nanswer = n1 * t3\nprint(answer)" + ], + "Output Answer": [ + "180.00000000000003" + ], + "split": "train" + }, + { + "Input": "a 270 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", + "Output Program": [ + "n0 = 270.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "230.03999999999996" + ], + "split": "train" + }, + { + "Input": "two trains of length 60 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 60.0\nn1 = 280.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "16.998640108791296" + ], + "split": "train" + }, + { + "Input": "a train 600 m long can cross an over brdge of 100 m long in 70 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 600.0\nn1 = 100.0\nn2 = 70.0\nt0 = n0 + n1\nt1 = t0 / n2\nanswer = t1 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a wooden box of dimensions 8 m x 10 m x 6 m is to carry rectangularboxes of dimensions 4 cm x 5 cm x 6 cm . the maximum number ofboxes that can be carried in the wooden box , is", + "Output Program": [ + "n0 = 8.0\nn1 = 10.0\nn2 = 6.0\nn3 = 4.0\nn4 = 5.0\nn5 = 6.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n0 * 2.0\nt3 = t0 * t1\nt4 = n1 * t2\nt5 = t3 * t0\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "4000000" + ], + "split": "train" + }, + { + "Input": "if 6 women can color 360 m long cloth in 3 days , then 5 women can color 100 m long cloth in ?", + "Output Program": [ + "n0 = 6.0\nn1 = 360.0\nn2 = 3.0\nn3 = 5.0\nn4 = 100.0\nt0 = n0 * n2\nt1 = n1 / t0\nt2 = n3 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "a company produces 72000 bottles of water everyday . if a case can hold 9 bottles of water . how many cases are required by the company to hold its one day production", + "Output Program": [ + "n0 = 72000.0\nn1 = 9.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "8000" + ], + "split": "train" + }, + { + "Input": "the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day . during the first 7 days , his average wages was $ 87 per day and the average wages during the last 7 days was $ 93 per day . what was his wage on the 8 th day ?", + "Output Program": [ + "n0 = 15.0\nn1 = 90.0\nn2 = 7.0\nn3 = 87.0\nn4 = 7.0\nn5 = 93.0\nn6 = 8.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = n2 * n5\nt3 = t1 + t2\nanswer = t0 - t3\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a factory produces 6000 toys per week . if the workers at this factory work 4 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?", + "Output Program": [ + "n0 = 6000.0\nn1 = 4.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "1500" + ], + "split": "train" + }, + { + "Input": "a 260 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?", + "Output Program": [ + "n0 = 260.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "240.03999999999996" + ], + "split": "train" + }, + { + "Input": "bob wants to run a mile in the same time as his sister . if bob \u2019 s time for a mile is currently 10 minutes 40 seconds and his sister \u2019 s time is currently 9 minutes 42 seconds , by what percent does bob need to improve his time in order run a mile in the same time as his sister ?", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nn2 = 9.0\nn3 = 42.0\nt0 = n0 * n0\nt1 = n2 * 60.0\nt2 = n0 * 60.0\nt3 = n3 + t1\nt4 = n1 + t2\nt5 = t3 / t4\nt6 = 1.0 - t5\nanswer = t0 * t6\nprint(answer)" + ], + "Output Answer": [ + "9.062499999999996" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long running at the speed of 36 km / hr takes to cross a bridge 132 m length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 36.0\nn2 = 132.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "24.198064154867613" + ], + "split": "train" + }, + { + "Input": "1200 men have provisions for 15 days . if 200 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 15.0\nn2 = 200.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "12.857142857142858" + ], + "split": "train" + }, + { + "Input": "a group of men decided to do a work in 10 days , but 5 of them became absent . if the rest of the group did the work in 12 days , find the original number of men ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nn2 = 12.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "if 3 cats can kill 3 rats in 3 minutes , how long will it take 100 cats to kill 100 rats ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 3.0\nn3 = 100.0\nn4 = 100.0\n\nanswer = n0 * 1.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "two trains of equal lengths take 9 sec and 15 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?", + "Output Program": [ + "n0 = 9.0\nn1 = 15.0\nn2 = 120.0\nt0 = n2 * 2.0\nt1 = n2 / n1\nt2 = n2 / n0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "11.249999999999998" + ], + "split": "train" + }, + { + "Input": "trains a and b start simultaneously from stations 350 miles apart , and travel the same route toward each other on adjacent parallel tracks . if train a and train b travel at a constant rate of 40 miles per hour and 30 miles per hour , respectively , how many miles will train a have traveled when the trains pass each other , to the nearest mile ?", + "Output Program": [ + "n0 = 350.0\nn1 = 40.0\nn2 = 30.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "two stations a and b are 65 km apart on a straight line . one train starts from a at 7 a . m . and travels towards b at 20 kmph . another train starts from b at 8 a . m . and travels towards a at a speed of 25 kmph . at what time will they meet ?", + "Output Program": [ + "n0 = 65.0\nn1 = 7.0\nn2 = 20.0\nn3 = 8.0\nn4 = 25.0\nt0 = n2 + n4\nt1 = n0 - n2\nt2 = t1 / t0\nanswer = n3 + t2\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "triathlete dan runs along a 2 - mile stretch of river and then swims back along the same route . if dan runs at a rate of 10 miles per hour and swims at a rate of 5 miles per hour , what is his average rate for the entire trip in miles per minute ?", + "Output Program": [ + "n0 = 2.0\nn1 = 10.0\nn2 = 5.0\nt0 = n0 + n0\nt1 = n0 / n2\nt2 = n0 / n1\nt3 = t1 * 60.0\nt4 = t2 * 60.0\nt5 = t3 + t4\nanswer = t0 / t5\nprint(answer)" + ], + "Output Answer": [ + "0.1111111111111111" + ], + "split": "train" + }, + { + "Input": "two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line . for instance , 3 and 7 rhyme around 5 . what integer w between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 7.0\nn2 = 5.0\nn3 = 1.0\nn4 = 20.0\nt0 = 2.0 * n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance traveled downstream in 15 minutes is :", + "Output Program": [ + "n0 = 20.0\nn1 = 5.0\nn2 = 15.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "6.25" + ], + "split": "train" + }, + { + "Input": "a man was engaged on a job for 30 days on the condition that he would get a wage of rs . 10 for the day he works , but he have to pay a fine of rs . 2 for each day of his absence . if he gets rs . 216 at the end , he was absent for work for . . . days .", + "Output Program": [ + "n0 = 30.0\nn1 = 10.0\nn2 = 2.0\nn3 = 216.0\nt0 = n1 + n2\nt1 = n0 * n1\nt2 = t1 - n3\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "if a , b and c together can finish a piece of work in 4 days . a alone in 12 days and b in 24 days , then c alone can do it in ?", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nn2 = 24.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 0.25 - t0\nt3 = t2 - t1\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "7.999999999999998" + ], + "split": "train" + }, + { + "Input": "if 6 women take an hour to dig a ditch , then how long should 18 women take a dig to ditch of the same type ?", + "Output Program": [ + "n0 = 6.0\nn1 = 18.0\nt0 = n1 / n0\nanswer = 60.0 / t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a contractor is engaged for 30 days on the condition that he receives rs . 25 for each day he works & is fined rs . 7.50 for each day is absent . he gets rs . 490 in all . for how many days was he absent ?", + "Output Program": [ + "n0 = 30.0\nn1 = 25.0\nn2 = 7.5\nn3 = 490.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = n3 + t1\nt3 = t2 / t0\nanswer = n0 - t3\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a and b complete a work in 10 days . a alone can do it in 14 days . if both together can do the work in how many days ?", + "Output Program": [ + "n0 = 10.0\nn1 = 14.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.833333333333333" + ], + "split": "train" + }, + { + "Input": "if 5 machines can produce 20 units in 10 hours , how long would it take 20 machines to produce 120 units ?", + "Output Program": [ + "n0 = 5.0\nn1 = 20.0\nn2 = 10.0\nn3 = 20.0\nn4 = 120.0\nt0 = n1 / n2\nt1 = t0 / n0\nt2 = n1 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "66 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length if the wire in meters will be :", + "Output Program": [ + "n0 = 66.0\nn1 = 1.0\nt0 = n1 / 2.0\nt1 = t0**min(2.0, 5)\nt2 = t1 * 3.141592653589793\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "84.03380995252074" + ], + "split": "train" + }, + { + "Input": "a is four times as fast as b . if b alone can do a piece of work in 60 days , in what time can a and b together complete the work ?", + "Output Program": [ + "n0 = 60.0\nt0 = n0 / 4.0\nt1 = 1 / n0\nt2 = 1 / t0\nt3 = t2 + t1\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "8 men can do a piece of work in 12 days . 4 women can do it in 48 days and 10 children can do it in 24 days . in how many days can 10 men , 4 women and 10 children together complete the piece of work ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 4.0\nn3 = 48.0\nn4 = 10.0\nn5 = 24.0\nn6 = 10.0\nn7 = 4.0\nn8 = 10.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = n4 * n5\nt3 = 1 / t0\nt4 = 1 / t1\nt5 = 1 / t2\nt6 = n4 * t3\nt7 = n2 * t4\nt8 = n4 * t5\nt9 = t6 + t7\nt10 = t9 + t8\nanswer = 1 / t10\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a cistern 10 m long and 6 m wide contains water up to a breadth of 1 m 35 cm . find the total area of the wet surface .", + "Output Program": [ + "n0 = 10.0\nn1 = 6.0\nn2 = 1.0\nn3 = 35.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "103.2" + ], + "split": "train" + }, + { + "Input": "car q and car y traveled the same 80 - mile route . if car q took 2 hours and car y traveled at an average speed that was 50 percent faster than the average speed of car q , how many hours did it take car y to travel the route ?", + "Output Program": [ + "n0 = 80.0\nn1 = 2.0\nn2 = 50.0\nt0 = n0 / n1\nt1 = n2 * t0\nt2 = t1 / 100.0\nt3 = t2 + t0\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "1.3333333333333333" + ], + "split": "train" + }, + { + "Input": "a train 605 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 605.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "32.99736021118311" + ], + "split": "train" + }, + { + "Input": "calculate how many days it will take for 8 boys to paint a 50 m long wall if 6 boys can paint a 60 m long wall in 5 days ,", + "Output Program": [ + "n0 = 8.0\nn1 = 50.0\nn2 = 6.0\nn3 = 60.0\nn4 = 5.0\nt0 = n2 * n4\nt1 = n0 * n3\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "3.125" + ], + "split": "train" + }, + { + "Input": "two motor bikes cover the same distance at the speed of 60 and 64 kmps respectively . find the distance traveled by them if the slower bike takes 1 hour more than the faster bike ?", + "Output Program": [ + "n0 = 60.0\nn1 = 64.0\nn2 = 1.0\nt0 = n1 - n0\nt1 = n0 / t0\nt2 = n2 + t1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "960" + ], + "split": "train" + }, + { + "Input": "an engine moves at the speed of 90 kmph without any coaches attached to it . speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached . when 4 coaches are attached speed decreases to 78 kmph . what will be the speed of train when 16 coaches are attached .", + "Output Program": [ + "import math\nn0 = 90.0\nn1 = 4.0\nn2 = 78.0\nn3 = 16.0\nt0 = math.sqrt(max(0, n1))\nt1 = math.sqrt(max(0, n3))\nt2 = n0 - n2\nt3 = t2 / t0\nt4 = t3 * t1\nanswer = n0 - t4\nprint(answer)" + ], + "Output Answer": [ + "66" + ], + "split": "train" + }, + { + "Input": "r and s together can plough a field in 10 hours but by himself r requires 15 hours . how long would s take to plough the same field ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nt0 = n1 - n0\nanswer = n1 + t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "mike works at a science lab that conducts experiments on bacteria . the population of the bacteria multiplies at a constant rate , and his job is to notate the population of a certain group of bacteria each hour . at 1 p . m . on a certain day , he noted that the population was 500 and then he left the lab . he returned in time to take a reading at 4 p . m . , by which point the population had grown to 62,500 . now he has to fill in the missing data for 2 p . m . and 3 p . m . what was the population at 3 p . m . ?", + "Output Program": [ + "n0 = 1.0\nn1 = 500.0\nn2 = 4.0\nn3 = 62500.0\nn4 = 2.0\nn5 = 3.0\nn6 = 3.0\nt0 = 2.0 + 3.0\nt1 = t0**min(n4, 5)\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "12500" + ], + "split": "train" + }, + { + "Input": "at a certain bowling alley , it costs $ 0.50 to rent bowling shoes for the day and $ 1.75 to bowl 1 game . if a person has $ 12.80 and must rent shoes , what is the greatest number of complete games that person can bowl in one day ?", + "Output Program": [ + "n0 = 0.5\nn1 = 1.75\nn2 = 1.0\nn3 = 12.8\nt0 = n3 - n0\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "7.028571428571429" + ], + "split": "train" + }, + { + "Input": "a girl sitting in a train which is travelling at 100 kmph observes that a goods train travelling in a opposite direction , takes 6 seconds to pass him . if the goods train is 560 m long , find its speed .", + "Output Program": [ + "n0 = 100.0\nn1 = 6.0\nn2 = 560.0\nt0 = n2 / n1\nt1 = t0 / 0.2778\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "235.973122150228" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 10 days and b alone can do it in 15 days . how much time will both take to finish the work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "train" + }, + { + "Input": "12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 15 hours a day , the number of men required", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 10.0\nn3 = 8.0\nn4 = 15.0\nt0 = n0 * n2\nt1 = n3 * n4\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "two trains of length 160 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 160.0\nn1 = 320.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "23.998080153587715" + ], + "split": "train" + }, + { + "Input": "what is the maximum area that can be enclosed by a wire 44 cm long ?", + "Output Program": [ + "import math\nn0 = 44.0\nt0 = n0 / 2.0\nt1 = t0 / 3.141592653589793\nanswer = math.pi * t1**2\nprint(answer)" + ], + "Output Answer": [ + "154.0619849129547" + ], + "split": "train" + }, + { + "Input": "the distance from steve ' s house to work is 10 km . on the way back steve drives twice as fast as he did on the way to work . altogether , steve is spending 6 hours a day on the roads . what is steve ' s speed on the way back from work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 6.0\nt0 = n0 / 2.0\nt1 = n0 + t0\nt2 = t1 / n1\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "jony walks along sunrise boulevard daily . he starts walking at 07 : 00 from block 10 and walks to block 90 where he turns around and walks back to block 70 , where he stops at 07 : 40 . the blocks along the boulevard are numbered sequentially ( 1 , 2,3 ) , and each block measures 40 meters . what is jony ' s speed in meters per minute ?", + "Output Program": [ + "n0 = 7.0\nn1 = 0.0\nn2 = 10.0\nn3 = 90.0\nn4 = 70.0\nn5 = 7.0\nn6 = 40.0\nn7 = 1.0\nn8 = 2.0\nn9 = 3.0\nn10 = 40.0\nt0 = n3 - n2\nt1 = n3 - n4\nt2 = n6 * t0\nt3 = n6 * t1\nt4 = t2 + t3\nanswer = t4 / n6\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "car a is 40 miles behind car b , which is traveling in the same direction along the same route as car a . car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour . how many hours will it take for car a to overtake and drive 8 miles ahead of car b ?", + "Output Program": [ + "n0 = 40.0\nn1 = 58.0\nn2 = 50.0\nn3 = 8.0\nt0 = n0 + n3\nt1 = n1 - n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "two fill taps a and b can separately fill a cistern in 45 and 40 minutes respectively . they started to fill a cistern together but tap a is turned off after few minutes and tap b fills the rest part of cistern in 23 minutes . after how many minutes , was tap a turned - off ?", + "Output Program": [ + "n0 = 45.0\nn1 = 40.0\nn2 = 23.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t1 + t0\nt3 = n2 * t0\nt4 = 1.0 - t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "8.999999999999998" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 98 km in the first hour and 60 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 98.0\nn1 = 60.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "79" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 56 km / hr crosses a pole in 9 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 56.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "140" + ], + "split": "train" + }, + { + "Input": "what is the speed of the stream if a canoe rows upstream at 8 km / hr and downstream at 12 km / hr", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nt0 = n1 - n0\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "two trains , a and b , started simultaneously from opposite ends of a 200 - mile route and traveled toward each other on parallel tracks . train a , traveling at a constant rate , completed the 200 - mile trip in 10 hours ; train b , traveling at a constant rate , completed the 200 - mile trip in 6 hours . how many miles had train a traveled when it met train b ?", + "Output Program": [ + "n0 = 200.0\nn1 = 200.0\nn2 = 10.0\nn3 = 200.0\nn4 = 6.0\nt0 = n2 + n4\nt1 = n4 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 34 kmph and downstream at 48 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 34.0\nn1 = 48.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "41" + ], + "split": "train" + }, + { + "Input": "raja and ram can together complete a piece of work in 4 days . if raja alone can complete the same work in 12 days , in how many days can ram alone complete that work ?", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "train" + }, + { + "Input": "a and b together can complete a piece of work in 4 days . if a alone can complete the same work in 12 days , in how many days can b alone complete that work ?", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "train" + }, + { + "Input": "a train 300 m long , running with a speed of 90 km / hr will pass a tree in ?", + "Output Program": [ + "n0 = 300.0\nn1 = 90.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "express 45 mps in kmph ?", + "Output Program": [ + "n0 = 45.0\nt0 = n0 / 1000.0\nanswer = t0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "162" + ], + "split": "train" + }, + { + "Input": "express a speed of 126 kmph in meters per second ?", + "Output Program": [ + "n0 = 126.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "35.0028" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 90 km in the first hour and 60 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 90.0\nn1 = 60.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "sakshi can do a piece of work in 20 days . tanya is 25 % more efficient than sakshi . the number of days taken by tanya to do the same piece of work is :", + "Output Program": [ + "n0 = 20.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "two boats are heading towards each other at constant speeds of 5 miles / hr and 21 miles / hr respectively . they begin at a distance 20 miles from each other . how far are they ( in miles ) one minute before they collide ?", + "Output Program": [ + "n0 = 5.0\nn1 = 21.0\nn2 = 20.0\nt0 = n0 + n1\nanswer = t0 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "0.43333333333333335" + ], + "split": "train" + }, + { + "Input": "36 men can complete a piece of work in 18 days . in how many days will 27 men complete the same work ?", + "Output Program": [ + "n0 = 36.0\nn1 = 18.0\nn2 = 27.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "two trains each 170 m in length each , are running on two parallel lines in opposite directions . if one goes at the speed of 55 km / h while the other travels at 50 km / h . how long will it take for them to pass each other completely .", + "Output Program": [ + "n0 = 170.0\nn1 = 55.0\nn2 = 50.0\nt0 = n0 + n0\nt1 = n1 + n2\nt2 = t0 / 1000.0\nt3 = t2 / t1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "11.657142857142858" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 11 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 4.0\nn1 = 11.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.285714285714286" + ], + "split": "train" + }, + { + "Input": "in what time will a train 350 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 350.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "8.749300055995521" + ], + "split": "train" + }, + { + "Input": "an aeroplane covers a certain distance of 530 kmph in 5 hours . to cover the same distance in 3 2 / 3 hours , it must travel at a speed of", + "Output Program": [ + "n0 = 530.0\nn1 = 5.0\nn2 = 3.0\nn3 = 2.0\nn4 = 3.0\nt0 = n0 * n1\nt1 = n2 * n4\nt2 = n3 + t1\nt3 = t2 / n4\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "722.7272727272727" + ], + "split": "train" + }, + { + "Input": "a fill pipe can fill 1 / 2 of cistern in 30 minutes . in how many minutes , it can fill 1 / 2 of the cistern ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 30.0\nn3 = 1.0\nn4 = 2.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a is 30 % more efficient than b . how much time will they working together take to complete a job which a alone could have done in 23 days ?", + "Output Program": [ + "n0 = 30.0\nn1 = 23.0\nt0 = 1.0 / n1\nt1 = n0 / 100.0\nt2 = t1 + 1.0\nt3 = n1 * t2\nt4 = 1.0 / t3\nt5 = t0 + t4\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "gwen drove an average speed of 15 miles per hour for the first 40 miles of a tripthen at a average speed of 30 miles / hr for the remaining 40 miles of the trip if she made no stops during the trip what was gwen ' s avg speed in miles / hr for the entire trip", + "Output Program": [ + "n0 = 15.0\nn1 = 40.0\nn2 = 30.0\nn3 = 40.0\nt0 = n1 + n1\nt1 = n1 / n0\nt2 = n1 / n2\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a boat m leaves shore a and at the same time boat b leaves shore b . they move across the river . they met at 500 yards away from a and after that they met 300 yards away from shore b without halting at shores . find the distance between the shore a & b .", + "Output Program": [ + "n0 = 500.0\nn1 = 300.0\n\nanswer = n1 * 4.0\nprint(answer)" + ], + "Output Answer": [ + "1200" + ], + "split": "train" + }, + { + "Input": "working alone , a can complete a certain kind of job in 15 hours . a and d , working together at their respective rates , can complete one of these jobs in 10 hours . in how many hours can d , working alone , complete one of these jobs ?", + "Output Program": [ + "n0 = 15.0\nn1 = 10.0\nt0 = 1 / n1\nt1 = 1 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "29.999999999999993" + ], + "split": "train" + }, + { + "Input": "if the product of two numbers is 62216 and their h . c . f . is 22 , find their l . c . m .", + "Output Program": [ + "n0 = 62216.0\nn1 = 22.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "2828" + ], + "split": "train" + }, + { + "Input": "sides of a rectangular park are in the ratio 3 : 2 and its area is 4704 sq m , the cost of fencing it at 50 ps per meter is ?", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 2.0\nn2 = 4704.0\nn3 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nt2 = math.sqrt(max(0, t1))\nt3 = n2 / t2\nt4 = 2 * (t3 + t2) # perimetere of rectangle\nt5 = n3 * t4\nanswer = t5 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "140" + ], + "split": "train" + }, + { + "Input": "a train crosses a tunnel of 1200 m in 45 sec , same train crosses another platform of length 180 m in 15 sec . then find the length of the train ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 45.0\nn2 = 180.0\nn3 = 15.0\nt0 = n1 / n3\nt1 = n2 * t0\nt2 = n0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "330" + ], + "split": "train" + }, + { + "Input": "if 8 men or 12 women can do a piece of work in 40 days , in how many days can the same work be done by 6 men and 11 women ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 40.0\nn3 = 6.0\nn4 = 11.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = n3 / t0\nt3 = n4 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 90 km / hr and including stoppages , it is 84 km / hr . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 90.0\nn1 = 84.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "two persons a and b can complete a piece of work in 18 days and 24 days respectively . if they work together , what part of the work will be completed in 2 days ?", + "Output Program": [ + "n0 = 18.0\nn1 = 24.0\nn2 = 2.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "0.19444444444444442" + ], + "split": "train" + }, + { + "Input": "a boy is travelling from his home to school at 3 km / hr and reached 7 min late . next day he traveled at 6 km / hr and reached 8 min early . distance between home and school ?", + "Output Program": [ + "n0 = 3.0\nn1 = 7.0\nn2 = 6.0\nn3 = 8.0\nt0 = n1 / 60.0\nt1 = n3 / 60.0\nt2 = 1.0 / n2\nt3 = t0 + t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "train" + }, + { + "Input": "machine a takes 100 hours to complete a certain job and starts that job at 7 am . after two hour of working alone , machine a is joined by machine b and together they complete the job at 12 pm . how long would it have taken machine b to complete the jobif it had worked alone for the entire job ?", + "Output Program": [ + "n0 = 100.0\nn1 = 7.0\nn2 = 12.0\nt0 = 1 / n0\nt1 = n2 * 2.0\nt2 = t0 * 2.0\nt3 = t1 - n1\nt4 = 1.0 - t2\nt5 = t3 - 2.0\nt6 = t4 / t5\nt7 = t6 - t0\nanswer = 1 / t7\nprint(answer)" + ], + "Output Answer": [ + "18.07228915662651" + ], + "split": "train" + }, + { + "Input": "a train of length l is traveling at a constant velocity and passes a pole in t seconds . if the same train travelling at the same velocity passes a platform in 3.5 t seconds , then what is the length of the platform ?", + "Output Program": [ + "n0 = 3.5\n\nanswer = n0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "train" + }, + { + "Input": "speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph . a man rows to a place at a distance of 105 km and comes back to the starting point . the total time taken by him is :", + "Output Program": [ + "n0 = 9.0\nn1 = 1.5\nn2 = 105.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length", + "Output Program": [ + "n0 = 110.0\nn1 = 72.0\nn2 = 132.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12.099032077433806" + ], + "split": "train" + }, + { + "Input": "i flew my tiny seaplane to visit my mother . on the flight up , i flew at 110 mph . on the way home , i flew 90 mph . what was my average speed for the trip ?", + "Output Program": [ + "n0 = 110.0\nn1 = 90.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a jogger running at 9 kmph along side a railway track is 280 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?", + "Output Program": [ + "n0 = 9.0\nn1 = 280.0\nn2 = 120.0\nn3 = 45.0\nt0 = n1 + n2\nt1 = n3 - n0\nt2 = t0 / 1000.0\nt3 = t2 / t1\nt4 = t3 * 60.0\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "40.00000000000001" + ], + "split": "train" + }, + { + "Input": "anil grows tomatoes in his backyard which is in the shape of a square . each tomato takes 1 cm 2 in his backyard . this year , he has been able to grow 131 more tomatoes than last year . the shape of the backyard remained a square . how many tomatoes did anil produce this year ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 131.0\nt0 = n0 + n2\nt1 = t0 / 2.0\nanswer = t1**min(2.0, 5)\nprint(answer)" + ], + "Output Answer": [ + "4356" + ], + "split": "train" + }, + { + "Input": "the sides of a rectangular field are in the ratio 3 : 4 . if the area of the field is 10800 sq . m , the cost of fencing the field @ 25 paise per metre is", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 4.0\nn2 = 10800.0\nn3 = 25.0\nt0 = n0 * n1\nt1 = n2 / t0\nt2 = math.sqrt(max(0, t1))\nt3 = n0 * t2\nt4 = n1 * t2\nt5 = 2 * (t3 + t4) # perimetere of rectangle\nt6 = n3 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "105" + ], + "split": "train" + }, + { + "Input": "a 480 m long train is running at a speed of 55 km / hr . it crossed a platform of length 620 m in ?", + "Output Program": [ + "n0 = 480.0\nn1 = 55.0\nn2 = 620.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "71.99424046076314" + ], + "split": "train" + }, + { + "Input": "a 35 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?", + "Output Program": [ + "n0 = 35.0\nn1 = 2.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "car a is 30 miles behind car b , which is traveling in the same direction along the same route as car a . car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour . how many hours will it take for car a to overtake and drive 8 miles ahead of car b ?", + "Output Program": [ + "n0 = 30.0\nn1 = 58.0\nn2 = 50.0\nn3 = 8.0\nt0 = n0 + n3\nt1 = n1 - n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "4.75" + ], + "split": "train" + }, + { + "Input": "if a car went the first third of the distance at 80 kmh , the second third at 18 kmh , and the last third at 48 kmh , what was the average speed of the car for the entire trip ?", + "Output Program": [ + "n0 = 80.0\nn1 = 18.0\nn2 = 48.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 3.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "33.75000000000001" + ], + "split": "train" + }, + { + "Input": "an employer pays rs . 20 for each day a worker works and for felts rs . 3 for each day is ideal at the end of sixty days a worker gets rs . 280 . for how many days did the worker remain ideal ?", + "Output Program": [ + "n0 = 20.0\nn1 = 3.0\nn2 = 280.0\nt0 = n0 * 60.0\nt1 = -n1\nt2 = t0 - n2\nt3 = t1 - n0\nt4 = -t3\nanswer = t2 / t4\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a train usually travels at a speed of 72 kmph crossing a pole in 7 sec , what would be the length of the train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 7.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "140" + ], + "split": "train" + }, + { + "Input": "a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 380 m long platform ?", + "Output Program": [ + "n0 = 36.0\nn1 = 12.0\nn2 = 380.0\nt0 = n0 * 0.2778\nt1 = n1 * t0\nt2 = n2 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "49.996960243180546" + ], + "split": "train" + }, + { + "Input": "walking at 4 / 7 of its usual speed , a train is 9 minutes late . find its usual time to cover the journey .", + "Output Program": [ + "n0 = 4.0\nn1 = 7.0\nn2 = 9.0\nt0 = n0 / n1\nt1 = 1 / t0\nt2 = t1 - 1.0\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "the current in a river is 8 mph . a boat can travel 20 mph in still water . how far up the river can the boat travel if the round trip is to take 10 hours ?", + "Output Program": [ + "n0 = 8.0\nn1 = 20.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = n1 - n0\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n2 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "train" + }, + { + "Input": "to asphalt 1 km road , 30 men spent 12 days working 8 hours per day . how many days , 20 men will spend to asphalt a road of 2 km working 9 hours a day ?", + "Output Program": [ + "n0 = 1.0\nn1 = 30.0\nn2 = 12.0\nn3 = 8.0\nn4 = 20.0\nn5 = 2.0\nn6 = 9.0\nt0 = n1 * n2\nt1 = n4 * n6\nt2 = n3 * t0\nt3 = n5 * t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 52 km / hr crosses a pole in 18 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 52.0\nn1 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "260" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 300 km / hr crosses a pole in 33 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 300.0\nn1 = 33.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "2750" + ], + "split": "train" + }, + { + "Input": "in a garment industry , 12 men working 8 hours per day complete a piece of work in 10 days . to complete the same work in 8 days , working 13.33 hours a day , the number of men required is :", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 10.0\nn3 = 8.0\nn4 = 13.33\nt0 = n0 * n1\nt1 = n2 * t0\nt2 = t1 / n4\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "9.00225056264066" + ], + "split": "train" + }, + { + "Input": "amar takes as much time in running 15 meters as a car takes in covering 40 meters . what will be the distance covered by amar during the time the car covers 1.9 km ?", + "Output Program": [ + "n0 = 15.0\nn1 = 40.0\nn2 = 1.9\nt0 = n2 * 1000.0\nt1 = n0 * t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "712.5" + ], + "split": "train" + }, + { + "Input": "a train 390 metres long is moving at a speed of 25 kmph . it will cross a man coming from the opposite direction at a speed of 2 km per hour in :", + "Output Program": [ + "n0 = 390.0\nn1 = 25.0\nn2 = 2.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "52.00000000000001" + ], + "split": "train" + }, + { + "Input": "a hall 36 m long and 15 m broad is to be paved with stones , each measuring 6 dm by 5 dm . the number of stones required is :", + "Output Program": [ + "n0 = 36.0\nn1 = 15.0\nn2 = 6.0\nn3 = 5.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t1 / 100.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "1800" + ], + "split": "train" + }, + { + "Input": "walking with 4 / 5 of my usual speed , i arrive at the bus stop 10 minutes later than normal . how many minutes does it take to walk to the bus stop at my usual speed ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 10.0\nt0 = n1 / n0\nt1 = t0 - 1.0\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 4 hours to complete the journey . if the distance between city a and city b is 480 kms and city a and city c is 300 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 480.0\nn3 = 300.0\nt0 = n2 / n0\nt1 = n3 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "2.1333333333333333" + ], + "split": "train" + }, + { + "Input": "ram , who is half as efficient as krish , will take 24 days to complete a task if he worked alone . if ram and krish worked together , how long will they take to complete the task ?", + "Output Program": [ + "n0 = 24.0\nt0 = 1.0 / n0\nt1 = n0 / 2.0\nt2 = 1.0 / t1\nt3 = t0 + t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a train 400 m long can cross an electric pole in 40 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 400.0\nn1 = 40.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 100 meters or 10 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a space shuttle orbits the earth at about 4 kilometers per second . this speed is equal to how many kilometers per hour ?", + "Output Program": [ + "n0 = 4.0\n\nanswer = n0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "14400" + ], + "split": "train" + }, + { + "Input": "57 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 57.0\nn1 = 12.0\nn2 = 5.0\nn3 = 30.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "how many plants will be there in a circular bed whose outer edge measure 30 cms , allowing 4 cm 2 for each plant ?", + "Output Program": [ + "import math\nn0 = 30.0\nn1 = 4.0\nn2 = 2.0\nt0 = n2 * 3.141592653589793\nt1 = n0 / t0\nt2 = math.pi * t1**2\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "17.90493109783823" + ], + "split": "train" + }, + { + "Input": "a boat goes 100 km downstream in 10 hours , and 60 m upstream in 15 hours . the speed of the stream is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 60.0\nn3 = 15.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "at a certain resort , each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants . the 3 restaurants are the family buffet , the dining room , and the snack bar . exactly 15 employees are trained to work in the family buffet , 18 are trained to work in the dining room , and 12 are trained to work in the snack bar . if 4 employees are trained to work in exactly 2 restaurants , how many employees are trained to work in all 3 restaurants ?", + "Output Program": [ + "n0 = 39.0\nn1 = 1.0\nn2 = 3.0\nn3 = 3.0\nn4 = 15.0\nn5 = 18.0\nn6 = 12.0\nn7 = 4.0\nn8 = 2.0\nn9 = 3.0\nt0 = n4 + n5\nt1 = n6 + t0\nt2 = t1 - n7\nt3 = t2 - n0\nanswer = t3 / n8\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "the edges of a cuboid are 2 cm , 5 cm and 3 cm . find the volume of the cuboid ?", + "Output Program": [ + "n0 = 2.0\nn1 = 5.0\nn2 = 3.0\n\nanswer = n0 * n1 * n2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a beaker contains 180 liters of alcohol . on 1 st day , 60 l of alcohol is taken out and replaced by water . 2 nd day , 60 l of mixture iss taken out and replaced by water and the process continues day after day . what will be the quantity of alcohol in beaker after 3 days", + "Output Program": [ + "n0 = 180.0\nn1 = 1.0\nn2 = 60.0\nn3 = 2.0\nn4 = 60.0\nn5 = 3.0\nt0 = n2 / n0\nt1 = n1 - t0\nt2 = t1**min(n5, 5)\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "53.33333333333335" + ], + "split": "train" + }, + { + "Input": "a car travels at a speed of 65 miles per hour . how far will it travel in 5 hours ?", + "Output Program": [ + "n0 = 65.0\nn1 = 5.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "325" + ], + "split": "train" + }, + { + "Input": "a 250 meter long train crosses a man standing on the platform in 12 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 250.0\nn1 = 12.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "if a tire rotates at 400 revolutions per minute when the car is traveling 168 km / h , what is the circumference of the tire ?", + "Output Program": [ + "n0 = 400.0\nn1 = 168.0\nt0 = 2.0 * 3.0\nt1 = t0 * 10.0\nt2 = n0 * t1\nt3 = n1 / t2\nanswer = t3 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "if a certain number of labours can dig earth 100 m deep , 25 m long , and 30 m broad in 12 days , then find the number of days the same number of labours will require to dig earth 75 m deep , 20 m long and 50 m broad .", + "Output Program": [ + "n0 = 100.0\nn1 = 25.0\nn2 = 30.0\nn3 = 12.0\nn4 = 75.0\nn5 = 20.0\nn6 = 50.0\nt0 = n4 * n5\nt1 = n0 * n1\nt2 = n6 * t0\nt3 = n2 * t1\nt4 = t2 / t3\nanswer = n3 * t4\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a small water pump would take 4 hours to fill an empty tank . a larger pump would take 1 / 2 hour to fill the same tank . how many hours would it take both pumps , working at their respective constant rates , to fill the empty tank if they began pumping at the same time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 2.0\nt0 = 1 / n0\nt1 = n2 + t0\nanswer = 1 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.4444444444444444" + ], + "split": "train" + }, + { + "Input": "a man cycling along the road noticed that every 3 minutes a bus overtakes him and every 9 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?", + "Output Program": [ + "n0 = 3.0\nn1 = 9.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 / t1\nt3 = n0 / t2\nt4 = n0 - t3\nanswer = t4 / 1.0\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 26 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 250.0\nn2 = 26.0\nt0 = n0 * 0.2778\nt1 = n1 / t0\nt2 = n2 - t1\nanswer = t0 * t2\nprint(answer)" + ], + "Output Answer": [ + "270.0416" + ], + "split": "train" + }, + { + "Input": "a train 2500 m long can cross an electric pole in 100 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 2500.0\nn1 = 100.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a train 150 m long passes a man , running at 6 kmph in the direction opposite to that of the train , in 6 seconds . the speed of the train is", + "Output Program": [ + "n0 = 150.0\nn1 = 6.0\nn2 = 6.0\nt0 = n1 * 0.2778\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n1\nanswer = t3 / 0.2778\nprint(answer)" + ], + "Output Answer": [ + "83.99280057595394" + ], + "split": "train" + }, + { + "Input": "a thief runs away from a with a speed of 20 km / hr . a police from a station 60 km away started chasing him after 1 hr . with a speed of 40 km / hr . time taken by the police to catch the thief is :", + "Output Program": [ + "n0 = 20.0\nn1 = 60.0\nn2 = 1.0\nn3 = 40.0\nt0 = n0 * n2\nt1 = n1 - n3\nt2 = n1 + t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a trader sells 85 meters of cloth for rs . 8925 at the profit of rs . 20 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 85.0\nn1 = 8925.0\nn2 = 20.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "85" + ], + "split": "train" + }, + { + "Input": "express a speed of 60 kmph in meters per second ?", + "Output Program": [ + "n0 = 60.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "16.668" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 400 metre long train take to cross a man running with a speed of 6 km / hr in the direction of the moving train if the speed of the train is 46 km / hr ?", + "Output Program": [ + "n0 = 400.0\nn1 = 6.0\nn2 = 46.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "35.99712023038157" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 12 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 75 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", + "Output Program": [ + "n0 = 12.0\nn1 = 1.0\nn2 = 1.0\nn3 = 75.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a certain industrial loom weaves 0.128 meters of cloth every second . approximately how many seconds will it take for the loom to weave 25 meters of cloth ?", + "Output Program": [ + "n0 = 0.128\nn1 = 25.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "195.3125" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 700 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?", + "Output Program": [ + "n0 = 700.0\nn1 = 63.0\nn2 = 3.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "41.9966402687785" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 8 days . he works at it for 4 days and then b finishes it in 6 days . in how many days can a and b together finish the work ?", + "Output Program": [ + "n0 = 8.0\nn1 = 4.0\nn2 = 6.0\nt0 = 1.0 / n0\nt1 = n2 * 2.0\nt2 = 1.0 / t1\nt3 = t0 + t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "4.800000000000001" + ], + "split": "train" + }, + { + "Input": "a boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 12 minutes . then the speed of the current is :", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 1.0\nn3 = 12.0\nt0 = n0 / n3\nt1 = n0 / n1\nt2 = t0 * 60.0\nt3 = t1 * 60.0\nt4 = t2 - t3\nanswer = t4 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "in a dairy farm , 34 cows eat 34 bags of husk in 34 days . in how many days one cow will eat one bag of husk ?", + "Output Program": [ + "n0 = 34.0\nn1 = 34.0\nn2 = 34.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "34" + ], + "split": "train" + }, + { + "Input": "a train 605 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 605.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "train" + }, + { + "Input": "it takes printer a 4 more minutes more than printer b to print 40 pages . working together , the two printers can print 50 pages in 6 minutes . how long will it take printer a to print 120 pages ?", + "Output Program": [ + "n0 = 4.0\nn1 = 40.0\nn2 = 50.0\nn3 = 6.0\nn4 = 120.0\nt0 = n0 * 2.0\nt1 = n0 + t0\nt2 = n4 * t1\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "if a car went the first third of the distance at 80 kmh , the second third at 24 kmh , and the last third at 44 kmh , what was the average speed of the car for the entire trip ?", + "Output Program": [ + "n0 = 80.0\nn1 = 24.0\nn2 = 44.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 3.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "39.014778325123146" + ], + "split": "train" + }, + { + "Input": "a ladder 25 m long reaches a window of building 20 m above the ground . then the distance of the foot of the ladder from the building is ?", + "Output Program": [ + "import math\nn0 = 25.0\nn1 = 20.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 - t1\nanswer = math.sqrt(max(0, t2))\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "car a runs at the speed of 70 km / hr & reaches its destination in 10 hr . car b runs at the speed of 35 km / h & reaches its destination in 10 h . what is the respective ratio of distances covered by car a & car b ?", + "Output Program": [ + "n0 = 70.0\nn1 = 10.0\nn2 = 35.0\nn3 = 10.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "car x began traveling at an average speed of 35 miles per hour . after 72 minutes , car y began traveling at an average speed of 50 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?", + "Output Program": [ + "n0 = 35.0\nn1 = 72.0\nn2 = 50.0\nt0 = n1 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "98" + ], + "split": "train" + }, + { + "Input": "a and b together can do a work in 4 days . if a alone can do it in 14 days . in how many days can b alone do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 14.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = 2.0 / t0\nt4 = t1 - t2\nt5 = 1 / t4\nanswer = t3 + t5\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "you cook a pot of beef stew for you and your roommate . normally it lasts 7 days between the two of you . if 3 guests are now staying with you and your roommate , how many days will the beef stew now last if everyone eats it ?", + "Output Program": [ + "n0 = 7.0\nn1 = 3.0\nt0 = n1 + 2.0\nt1 = n0 * 2.0\nt2 = 1.0 / t1\nt3 = t0 * t2\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "2.8000000000000003" + ], + "split": "train" + }, + { + "Input": "a person can swim in still water at 12 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 10 km ?", + "Output Program": [ + "n0 = 12.0\nn1 = 2.0\nn2 = 10.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 54 km / hr crosses a pole in 9 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 54.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "135" + ], + "split": "train" + }, + { + "Input": "the area of a sector of a circle of radius 4 cm formed by an arc of length 3.5 cm is ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.5\nt0 = 1.0 / 2.0\nt1 = n0 * n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "working alone , a can complete a certain kind of job in 12 hours . a and d , working together at their respective rates , can complete one of these jobs in 4 hours . in how many hours can d , working alone , complete one of these jobs ?", + "Output Program": [ + "n0 = 12.0\nn1 = 4.0\nt0 = 1 / n1\nt1 = 1 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "train" + }, + { + "Input": "from an island , it is possible to reach the mainland by either ferry p or ferry q . ferry p travels for 3 hours at 6 kilometers per hour , while ferry q takes a route that is two times longer . if ferry p is slower than ferry q by 3 kilometers per hour , how many hours longer is the journey of ferry q compared with the journey of ferry p ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nn2 = 3.0\nt0 = n1 + n2\nt1 = 2.0 * n1\nt2 = t1 * 3.0\nt3 = t2 / t0\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "if a car went the first third of the distance at 80 kmh , the second third at 24 kmh , and the last third at 60 kmh , what was the average speed of the car for the entire trip ?", + "Output Program": [ + "n0 = 80.0\nn1 = 24.0\nn2 = 60.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 3.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "42.35294117647059" + ], + "split": "train" + }, + { + "Input": "dan \u2019 s car gets 32 miles per gallon . if gas costs $ 4 / gallon , then how many miles can dan \u2019 s car go on $ 46 of gas ?", + "Output Program": [ + "n0 = 32.0\nn1 = 4.0\nn2 = 46.0\nt0 = n0 * n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "368" + ], + "split": "train" + }, + { + "Input": "i flew my tiny seaplane to visit my mother . on the flight up , i flew at 130 mph . on the way home , i flew 88 mph . what was my average speed for the trip ?", + "Output Program": [ + "n0 = 130.0\nn1 = 88.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "109" + ], + "split": "train" + }, + { + "Input": "in a 200 meters race a beats b by 35 m or 7 seconds . a \u2019 s time over the course is :", + "Output Program": [ + "n0 = 200.0\nn1 = 35.0\nn2 = 7.0\nt0 = n2 / n1\nt1 = n0 * t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "train" + }, + { + "Input": "a train 270 m long , running with a speed of 108 km / hr will pass a tree in", + "Output Program": [ + "n0 = 270.0\nn1 = 108.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "a 200 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds . what is the lenght of other train .", + "Output Program": [ + "n0 = 200.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "300.03999999999996" + ], + "split": "train" + }, + { + "Input": "sharmila works 10 hours per day on monday , wednesday and friday , and 8 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 460 per week . how much does she earn in dollars per hour ?", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nn2 = 460.0\nt0 = n0 * 3.0\nt1 = n1 * 2.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a trader sells 80 meters of cloth for rs . 10000 at the profit of rs . 7 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 80.0\nn1 = 10000.0\nn2 = 7.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "118" + ], + "split": "train" + }, + { + "Input": "a train with a length of 100 meters , is traveling at a speed of 72 km / hr . the train enters a tunnel 1.7 km long . how many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges ?", + "Output Program": [ + "n0 = 100.0\nn1 = 72.0\nn2 = 1.7\nt0 = n0 / 1000.0\nt1 = n2 + t0\nt2 = t1 / n1\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 4 days . b can do it in 8 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 8.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = n2 * t3\nt5 = t0 - t4\nt6 = t5 / n2\nanswer = t0 / t6\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a train with a length of 100 meters , is traveling at a speed of 72 km / hr . the train enters a tunnel 3.5 km long . how many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges ?", + "Output Program": [ + "n0 = 100.0\nn1 = 72.0\nn2 = 3.5\nt0 = n0 / 1000.0\nt1 = n2 + t0\nt2 = t1 / n1\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "in what time will a train 100 m long cross an electric pole , it its speed be 54 km / hr ?", + "Output Program": [ + "n0 = 100.0\nn1 = 54.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "6.666133375996587" + ], + "split": "train" + }, + { + "Input": "a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 800 m long ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 120.0\nn2 = 800.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "a monkey start climbing up a tree 22 ft tall . each hour it hops 3 ft and slips back 2 ft . how much time would it take the monkey to reach the top .", + "Output Program": [ + "n0 = 22.0\nn1 = 3.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = n0 / t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 9 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ?", + "Output Program": [ + "n0 = 1.0\nn1 = 9.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "two cars are traveling in the same direction along the same route . the red car travels at a constant speed of 30 miles per hour , and the black car is traveling at a constant speed of 50 miles per hour . if the red car is 20 miles ahead of the black car , how many hours will it take the black car to overtake the red car ?", + "Output Program": [ + "n0 = 30.0\nn1 = 50.0\nn2 = 20.0\nt0 = n1 - n0\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "two cars start from the opposite places of a main road , 150 km apart . first car runs for 25 km and takes a right turn and then runs 15 km . it then turns left and then runs for another 25 km and then takes the direction back to reach the main road . in the mean time , due to minor break down the other car has run only 35 km along the main road . what would be the distance between two cars at this point ?", + "Output Program": [ + "n0 = 150.0\nn1 = 25.0\nn2 = 15.0\nn3 = 25.0\nn4 = 35.0\nt0 = n1 + n1\nt1 = n0 - n4\nanswer = t1 - t0\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 60 kmph and downstream at 90 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 60.0\nn1 = 90.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 52 km / hr crosses a pole in 9 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 52.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "130" + ], + "split": "train" + }, + { + "Input": "a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 180 kilometers ?", + "Output Program": [ + "n0 = 40.0\nn1 = 180.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "a car covers a distance of 624 km in 3 1 / 5 hours . find its speed ?", + "Output Program": [ + "n0 = 624.0\nn1 = 3.0\nn2 = 1.0\nn3 = 5.0\nt0 = n2 / n3\nt1 = n1 + t0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "195" + ], + "split": "train" + }, + { + "Input": "a superhero flies at an incredible rate of 1000 kilometers per minute . what is her speed in miles per hour ? [ 1 km = 0.6 miles ]", + "Output Program": [ + "n0 = 1000.0\nn1 = 1.0\nn2 = 0.6\nt0 = n0 * 60.0\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "36000" + ], + "split": "train" + }, + { + "Input": "300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "two cars started from the same point , at 5 am , traveling in opposite directions at 40 and 50 mph respectively . at what time will they be 450 miles apart ?", + "Output Program": [ + "n0 = 5.0\nn1 = 40.0\nn2 = 50.0\nn3 = 450.0\nt0 = n1 + n2\nt1 = n3 / t0\nanswer = n0 + t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "if 8 men or 12 women can do a piece of work in 20 days , in how many days can the same work be done by 6 men and 11 women ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 20.0\nn3 = 6.0\nn4 = 11.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = n3 / t0\nt3 = n4 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "3 men can complete a piece of work in 6 days . two days after they started the work , 3 more men joined them . how many days will they take to complete the remaining work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nn2 = 3.0\nt0 = 2.0 / n1\nt1 = n0 * n1\nt2 = 1.0 - t0\nt3 = t1 * t2\nanswer = t3 / n1\nprint(answer)" + ], + "Output Answer": [ + "2.0000000000000004" + ], + "split": "train" + }, + { + "Input": "the perimeter of a semi circle is 216 cm then the radius is ?", + "Output Program": [ + "n0 = 216.0\nt0 = 2.0 + 3.141592653589793\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "42.01032920202101" + ], + "split": "train" + }, + { + "Input": "a train 360 metre long runs with a speed of 45 km / hr . what time will it take to pass a platform of 140 metre long ?", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = t0 / 1000.0\nt2 = t1 / n1\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 42 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 42.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "the time it took car p to travel 900 miles was 2 hours less than the time it took car r to travel the same distance . if car p \u2019 s average speed was 10 miles per hour greater than that of car r , what was car r \u2019 s average speed , in miles per hour ?", + "Output Program": [ + "import math\nn0 = 900.0\nn1 = 2.0\nn2 = 10.0\nt0 = n0 * n2\nt1 = -n2\nt2 = t0 / n1\nt3 = t1**min(n1, 5)\nt4 = -t2\nt5 = t4 * 4.0\nt6 = t3 - t5\nt7 = math.sqrt(max(0, t6))\nt8 = t1 + t7\nanswer = t8 / n1\nprint(answer)" + ], + "Output Answer": [ + "62.268120235368556" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 400 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 400.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "23.998080153587715" + ], + "split": "train" + }, + { + "Input": "12 men can complete a piece of work in 4 days , while 15 women can complete the same work in 4 days . 6 men start working on the job and after working for 2 days , all of them stopped working . how many women should be put on the job to complete the remaining work , if it so to be completed in 3 days ?", + "Output Program": [ + "n0 = 12.0\nn1 = 4.0\nn2 = 15.0\nn3 = 4.0\nn4 = 6.0\nn5 = 2.0\nn6 = 3.0\nt0 = 1.0 / n6\nt1 = 1.0 / n1\nt2 = n4 * n5\nt3 = t1 / n2\nt4 = t1 / n0\nt5 = 1.0 / t3\nt6 = t4 * t2\nt7 = 1.0 - t6\nt8 = t5 * t7\nanswer = t0 * t8\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "in a stream running at 2 kmph , a motor boat goes 10 km upstream and back again to the starting point in 55 minutes . find the speed of motor boat in still water ?", + "Output Program": [ + "n0 = 2.0\nn1 = 10.0\nn2 = 55.0\nt0 = n1 + n1\nt1 = n2 / 60.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "21.81818181818182" + ], + "split": "train" + }, + { + "Input": "a train 100 m long can cross an electric pole in 20 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 100.0\nn1 = 20.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a person can swim in still water at 6 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 14 km ?", + "Output Program": [ + "n0 = 6.0\nn1 = 2.0\nn2 = 14.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.5" + ], + "split": "train" + }, + { + "Input": "in a 1000 m race , a beats b by 200 meters or 25 seconds . find the speed of b ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 200.0\nn2 = 25.0\n\nanswer = n1 / n2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a person can row at 10 kmph and still water . he takes 5 hours to row from a to b and back . what is the distance between a and b if the speed of the stream is 2 kmph ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nn2 = 2.0\nt0 = n0 + 2.0\nt1 = n0 - n2\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n1 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 700 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 700.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "41.9966402687785" + ], + "split": "train" + }, + { + "Input": "if 3 men or 4 women can reap a field in 10 days how long will 5 men and 6 women take to reap it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 10.0\nn3 = 5.0\nn4 = 6.0\nt0 = n2 / n0\nt1 = n2 / n1\nt2 = n3 * t0\nt3 = n4 * t1\nt4 = t2 + t3\nanswer = n2 / t4\nprint(answer)" + ], + "Output Answer": [ + "0.3157894736842105" + ], + "split": "train" + }, + { + "Input": "qames can eat 25 marshmallows is 20 minutes . dylan can eat 25 in one hour . in how much time will the two eat 150 marshmallows ?", + "Output Program": [ + "n0 = 25.0\nn1 = 20.0\nn2 = 25.0\nn3 = 150.0\nt0 = n0 / 60.0\nt1 = n0 / n1\nt2 = 3.0 / 2.0\nt3 = t0 + t1\nt4 = n3 / t3\nt5 = t4 / t2\nanswer = 60.0 / t5\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "ajay and balu together can do a piece of work in 12 days . balu and charan together can do the same work in 16 days . after ajay has been working at it for 5 days and balu for 7 days , charan finishes it in 13 days . in how many days will charan alone be able to do the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 16.0\nn2 = 5.0\nn3 = 7.0\nn4 = 13.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = n3 - n2\nt3 = n4 - 2.0\nt4 = n2 * t0\nt5 = t1 * t2\nt6 = 1.0 - t4\nt7 = t6 - t5\nt8 = 1 / t7\nanswer = t8 * t3\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "city a to city b , john drove for 1 hour at 40 mph and for 3 hours at 60 mph . what was the average speed for the whole trip ?", + "Output Program": [ + "n0 = 1.0\nn1 = 40.0\nn2 = 3.0\nn3 = 60.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "train" + }, + { + "Input": "sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 504 per week . how much does she earn in dollars per hour ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 504.0\nt0 = n0 * 3.0\nt1 = n1 * 2.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "if a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster , he would have covered 70 more miles than he actually did . how many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day ?", + "Output Program": [ + "n0 = 1.0\nn1 = 5.0\nn2 = 70.0\nn3 = 2.0\nn4 = 10.0\nt0 = n3 * n4\nt1 = n2 - n1\nt2 = n3 * t1\nanswer = t2 + t0\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "mike and his friend are going on a road trip and hoping to miss traffic . if they are driving at a rate of 6 miles per minute , what is their speed in kilometers per hour ? [ 1 km = 0.6 miles ]", + "Output Program": [ + "n0 = 6.0\nn1 = 1.0\nn2 = 0.6\nt0 = n0 * 60.0\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 57 kmph , find the speed of the stream ?", + "Output Program": [ + "n0 = 57.0\nt0 = n0 * 2.0\nt1 = t0 / 3.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "a tank is 25 m long 12 m wide and 6 m deep . the cost of plastering its walls and bottom at 75 paise per sq m is", + "Output Program": [ + "n0 = 25.0\nn1 = 12.0\nn2 = 6.0\nn3 = 75.0\nt0 = n3 / 100.0\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 * n1\nt4 = t1 * 2.0\nt5 = t2 * 2.0\nt6 = t4 + t5\nt7 = t6 + t3\nanswer = t7 * t0\nprint(answer)" + ], + "Output Answer": [ + "558" + ], + "split": "train" + }, + { + "Input": "it takes printer a 4 more minutes more than printer b to print 40 pages . working together , the two printers can print 50 pages in 6 minutes . how long will it take printer a to print 140 pages ?", + "Output Program": [ + "n0 = 4.0\nn1 = 40.0\nn2 = 50.0\nn3 = 6.0\nn4 = 140.0\nt0 = n0 * 2.0\nt1 = n0 + t0\nt2 = n4 * t1\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "mahesh can do a piece of work in 60 days . he works at it for 20 days and then rajesh finished it in 30 days . how long will y take to complete the work ?", + "Output Program": [ + "n0 = 60.0\nn1 = 20.0\nn2 = 30.0\nt0 = 1.0 / n0\nt1 = n1 * t0\nt2 = 1.0 - t1\nt3 = t2 / n2\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "a land owner needs to fence his semicircular land leaving an opening of length of 3 m for access . the radius of the semicircular plot is 7 m . how long would be the fence in meters ?", + "Output Program": [ + "n0 = 3.0\nn1 = 7.0\nt0 = 10.0 + 2.0\nt1 = n1 * 2.0\nt2 = t0 + 10.0\nt3 = t2 / n1\nt4 = n1 * t3\nt5 = t4 + t1\nanswer = t5 - n0\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "train" + }, + { + "Input": "two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively . when they meet , it is found that one train has travelled 60 km more than the other one . the distance between the two stations is ?", + "Output Program": [ + "n0 = 16.0\nn1 = 21.0\nn2 = 60.0\nt0 = n1 - n0\nt1 = n2 / t0\nt2 = n0 * t1\nt3 = n1 * t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "444" + ], + "split": "train" + }, + { + "Input": "stacy has a 66 page history paper due in 6 days . how many pages per day would she have to write to finish on time ?", + "Output Program": [ + "n0 = 66.0\nn1 = 6.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "jane makes toy bears . when she works with an assistant , she makes 80 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane \u2019 s output of toy bears per hour by what percent w ?", + "Output Program": [ + "n0 = 80.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = t0 - n1\nt2 = 10.0 / t1\nanswer = t2 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "if the weight of 12 meters long rod is 14 kg . what is the weight of 6 meters long rod ?", + "Output Program": [ + "n0 = 12.0\nn1 = 14.0\nn2 = 6.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a train travelling 80 kmph to pass through a tunnel of 70 km at 5 : 12 am . the train leaves the tunnel at 5 : 18 am . find the length of train ?", + "Output Program": [ + "n0 = 80.0\nn1 = 70.0\nn2 = 5.0\nn3 = 12.0\nn4 = 5.0\nn5 = 18.0\nt0 = n1 / 10.0\nt1 = n5 - n3\nt2 = t1 / 60.0\nt3 = n0 * t2\nanswer = t3 - t0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 160 meters long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 160.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "215" + ], + "split": "train" + }, + { + "Input": "two ships are sailing in the sea on the two sides of a lighthouse . the angle of elevation of the top of the lighthouse is observed from the ships are 30 \u00b0 and 45 \u00b0 respectively . if the lighthouse is 100 m high , the distance between the two ships is :", + "Output Program": [ + "import math\nn0 = 30.0\nn1 = 45.0\nn2 = 100.0\nt0 = math.sqrt(max(0, 3.0))\nt1 = t0 + 1.0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "273.2050807568877" + ], + "split": "train" + }, + { + "Input": "a tank can supply water to a village for 80 days . if a leak at the bottom of the tank drains out 10 liters per day , the supply lasts for 60 days only . for how many days will the supply last if the leak drains out 20 liters per day ?", + "Output Program": [ + "n0 = 80.0\nn1 = 10.0\nn2 = 60.0\nn3 = 20.0\nt0 = n1 * n2\nt1 = n0 - n2\nt2 = t0 / t1\nt3 = n3 + t2\nt4 = n0 * t2\nanswer = t4 / t3\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "someone on a skateboard is traveling 15 miles per hour . how many feet does she travel in 30 seconds ? ( 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 15.0\nn1 = 30.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 * n3\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "660" + ], + "split": "train" + }, + { + "Input": "a company produces 72000 bottles of water everyday . if a case can hold 10 bottles of water . how many cases are required by the company to hold its one day production", + "Output Program": [ + "n0 = 72000.0\nn1 = 10.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "7200" + ], + "split": "train" + }, + { + "Input": "a train of 24 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 3.5 km long ?", + "Output Program": [ + "n0 = 24.0\nn1 = 60.0\nn2 = 60.0\nn3 = 60.0\nn4 = 3.5\nt0 = n0 + 1.0\nt1 = n1 * t0\nt2 = t1 / 1000.0\nanswer = n4 + t2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 50 km / hr crosses a pole in 9 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 50.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "125" + ], + "split": "train" + }, + { + "Input": "a group of men decided to do a work in 15 days , but 8 of them became absent . if the rest of the group did the work in 18 days , find the original number of men ?", + "Output Program": [ + "n0 = 15.0\nn1 = 8.0\nn2 = 18.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 2 days , b and c in 3 days , c and a in 4 days . how long will c take to do it ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 4.0\nt0 = n0 * 3.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t5 / 2.0\nt7 = t6 - t1\nanswer = t0 / t7\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a 600 meter long train crosses a signal post in 40 seconds . how long will it take to cross a 9 kilometer long bridge , at the same speed ?", + "Output Program": [ + "n0 = 600.0\nn1 = 40.0\nn2 = 9.0\nt0 = n2 * 1000.0\nt1 = n0 / n1\nt2 = t0 / t1\nanswer = t2 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a car travels at a speed of 65 miles per hour . how far will it travel in 9 hours ?", + "Output Program": [ + "n0 = 65.0\nn1 = 9.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "585" + ], + "split": "train" + }, + { + "Input": "there are 17 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?", + "Output Program": [ + "n0 = 17.0\nt0 = n0 + 1.0\nt1 = t0 + 1.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "342" + ], + "split": "train" + }, + { + "Input": "there are 18 stations between ernakulam and chennai . how many second class tickets have to be printed , so that a passenger can travel from one station to any other station ?", + "Output Program": [ + "n0 = 18.0\nt0 = n0 + 2.0\nt1 = t0 - 1.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "380" + ], + "split": "train" + }, + { + "Input": "a 160 meter long train crosses a man standing on the platform in 6 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 160.0\nn1 = 6.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "96" + ], + "split": "train" + }, + { + "Input": "a monkey start climbing up a tree 20 ft tall . each hour it hops 3 ft and slips back 2 ft . how much time would it take the monkey to reach the top .", + "Output Program": [ + "n0 = 20.0\nn1 = 3.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = n0 / t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "without stoppages , a train travels certain distance with an average speed of 200 km / h , and with stoppages , it covers the same distance with an average speed of 160 km / h . how many minutes per hour the train stops ?", + "Output Program": [ + "n0 = 200.0\nn1 = 160.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "if 20 men can build a water fountain 56 metres long in 21 days , what length of a similar water fountain can be built by 35 men in 3 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 56.0\nn2 = 21.0\nn3 = 35.0\nn4 = 3.0\nt0 = n0 * n2\nt1 = n3 * n4\nt2 = n1 / t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 50 kmph and the speed of the current is 20 kmph . find the speed and upstream ?", + "Output Program": [ + "n0 = 50.0\nn1 = 20.0\n\nanswer = n0 - n1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a and b start from house at 10 am . they travel on the mg road at 20 kmph and 40 kmph . there is a junction t on their path . a turns left at t junction at 12 : 00 noon , b reaches t earlier , and turns right . both of them continue to travel till 2 pm . what is the distance between a and b at 2 pm", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 40.0\nn3 = 12.0\nn4 = 0.0\nn5 = 2.0\nn6 = 2.0\nt0 = n2 * 3.0\nt1 = n3 - n0\nt2 = n1 * t1\nanswer = t2 + t0\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 8 hours . due to a leak at the bottom , it takes 12 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "an escalator is descending at constant speed . a walks down and takes 50 steps to reach the bottom . b runs down and takes 90 steps in the same time as a takes 10 steps . how many steps are visible when the escalator is not operating ?", + "Output Program": [ + "n0 = 50.0\nn1 = 90.0\nn2 = 10.0\nt0 = n1 - n0\nt1 = t0 / t0\nt2 = n0 * t1\nanswer = n0 + t2\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "in what time will a railway train 60 m long moving at the rate of 72 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 60.0\nn1 = 72.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.9997600191984644" + ], + "split": "train" + }, + { + "Input": "a bus covered a distance of 250 km , partly at an average speed of 40 kmph and partly at 60 kmph . if the total time taken is 6 hours , then the distance covered at 40 kmph is", + "Output Program": [ + "n0 = 250.0\nn1 = 40.0\nn2 = 60.0\nn3 = 6.0\nn4 = 40.0\nt0 = n2 * n3\nt1 = n1 - n2\nt2 = -t1\nt3 = t0 - n0\nt4 = t3 / t2\nanswer = n1 * t4\nprint(answer)" + ], + "Output Answer": [ + "220" + ], + "split": "train" + }, + { + "Input": "a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 180 m long ?", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 180.0\nt0 = n2 / 1000.0\nt1 = n0 / 1000.0\nt2 = t0 + t1\nt3 = t2 / n1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "43.2" + ], + "split": "train" + }, + { + "Input": "if a farmer wants to plough a farm field on time , he must plough 260 hectares a day . for technical reasons he ploughed only 85 hectares a day , hence he had to plough 2 more days than he planned and he still has 40 hectares left . what is the area of the farm field and how many days the farmer planned to work initially ?", + "Output Program": [ + "n0 = 260.0\nn1 = 85.0\nn2 = 2.0\nn3 = 40.0\nt0 = n1 * n2\nt1 = n0 - n1\nt2 = n3 + t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "312" + ], + "split": "train" + }, + { + "Input": "on my sister ' s 15 th birthday , she was 159 cm in height , having grown 6 % since the year before . how tall was she the previous year ?", + "Output Program": [ + "n0 = 15.0\nn1 = 159.0\nn2 = 6.0\nt0 = n2 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water in 20 km / hr and the rate of current is 3 km / hr . the distance travelled downstream in 24 minutes is :", + "Output Program": [ + "n0 = 20.0\nn1 = 3.0\nn2 = 24.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "9.200000000000001" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 60 kmph and including stoppages , it is 50 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 60.0\nn1 = 50.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "60 boys can complete a work in 40 days . how many men need to complete twice the work in 20 days", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nn2 = 20.0\nt0 = n1 * 2.0\nt1 = n0 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "an outlet pipe empties a tank which is full in 8 hours . if the inlet pipe is kept open , which lets water in at the rate of 8 litres / min then outlet pipe would take 4 hours longer . find the capacity of the tank .", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 4.0\nt0 = n0 + n2\nt1 = n1 * 60.0\nt2 = t0 * t1\nt3 = t2 / n2\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "11520" + ], + "split": "train" + }, + { + "Input": "the consumption of diesel per hour of a bus varies directly as square of its speed . when the bus is travelling at 60 kmph its consumption is 1 litre per hour . if each litre costs $ 30 and other expenses per hous is $ 20 , then what would be the minimum expenditure required to cover a distance of 600 km ?", + "Output Program": [ + "n0 = 60.0\nn1 = 1.0\nn2 = 30.0\nn3 = 20.0\nn4 = 600.0\nt0 = n4 / n0\nt1 = n2 * t0\nt2 = n3 * t0\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "on the first day of her vacation , louisa traveled 100 miles . on the second day , traveling at the same average speed , she traveled 175 miles . if the 100 - mile trip took 3 hours less than the 175 - mile trip , what was the average speed , in miles per hour ?", + "Output Program": [ + "n0 = 100.0\nn1 = 175.0\nn2 = 100.0\nn3 = 3.0\nn4 = 175.0\nt0 = n1 - n0\nanswer = t0 / n3\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a train travels 240 km in 3 hours and 450 km in 5 hours . find the average speed of train .", + "Output Program": [ + "n0 = 240.0\nn1 = 3.0\nn2 = 450.0\nn3 = 5.0\nt0 = n0 + n2\nt1 = n1 + n3\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "86.25" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 12 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 12.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "two trains of equal lengths take 12 sec and 24 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?", + "Output Program": [ + "n0 = 12.0\nn1 = 24.0\nn2 = 120.0\nt0 = n2 * 2.0\nt1 = n2 / n1\nt2 = n2 / n0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 16 days , b and c in 24 days , c and a in 12 days . how long will c take to do it ?", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nn2 = 12.0\nt0 = n0 * 3.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t5 / 2.0\nt7 = t6 - t1\nanswer = t0 / t7\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a searchlight on top of the watch - tower makes 3 revolutions per minute . what is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds ?", + "Output Program": [ + "n0 = 3.0\nn1 = 5.0\nt0 = 1.0 * 60.0\nt1 = t0 / n0\nt2 = n1 / t1\nanswer = 1.0 - t2\nprint(answer)" + ], + "Output Answer": [ + "0.75" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 45 km / hr crosses a pole in 16 seconds . find the length of the train .", + "Output Program": [ + "n0 = 45.0\nn1 = 16.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 120 km / hr crosses a pole in 9 seconds . find the length of the train .", + "Output Program": [ + "n0 = 120.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "the center of a circle lies on the origin of the coordinate plane . if a point ( x , y ) is randomly selected inside of the circle , what is the probability that y > 0 and y > x ?", + "Output Program": [ + "n0 = 0.0\nt0 = 2.0 * 4.0\nanswer = 3.0 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.375" + ], + "split": "train" + }, + { + "Input": "a group of men decided to do a work in 17 days , but 8 of them became absent . if the rest of the group did the work in 21 days , find the original number of men ?", + "Output Program": [ + "n0 = 17.0\nn1 = 8.0\nn2 = 21.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "a works twice as fast as b . if b can complete a work in 18 days independently , the number of days in which a and b can together finish the work is :", + "Output Program": [ + "n0 = 18.0\nt0 = 1.0 / n0\nt1 = t0 * 2.0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "two trains of length 100 m and 200 m are 100 m apart . they start moving towards each other on parallel tracks , at speeds 54 kmph and 72 kmph . after how much time will the trains meet ?", + "Output Program": [ + "n0 = 100.0\nn1 = 200.0\nn2 = 100.0\nn3 = 54.0\nn4 = 72.0\nt0 = n3 + n4\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "2.856914303998537" + ], + "split": "train" + }, + { + "Input": "lloyd normally works 7.5 hours per day and earns $ 4.50 per hour . for each hour he works in excess of 7.5 hours on a given day , he is paid 2.5 times his regular rate . if lloyd works 10.5 hours on a given day , how much does he earn for that day ?", + "Output Program": [ + "n0 = 7.5\nn1 = 4.5\nn2 = 7.5\nn3 = 2.5\nn4 = 10.5\nt0 = n0 * n1\nt1 = n4 - n0\nt2 = n3 * t1\nt3 = n1 * t2\nanswer = t0 + t3\nprint(answer)" + ], + "Output Answer": [ + "67.5" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 20 days and b can do it in 30 days and c can do it 10 days . they started the work together and a leaves after 2 days and c leaves after 4 days from the beginning . how long will work lost ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 10.0\nn3 = 2.0\nn4 = 4.0\nt0 = 1 / n1\nt1 = 1 / n2\nt2 = 1 / n0\nt3 = n4 - n3\nt4 = t0 + t1\nt5 = t2 + t0\nt6 = t5 + t1\nt7 = t4 * t3\nt8 = n3 * t6\nt9 = t7 + t8\nt10 = 1.0 - t9\nt11 = t10 / t0\nanswer = n4 + t11\nprint(answer)" + ], + "Output Answer": [ + "15.000000000000002" + ], + "split": "train" + }, + { + "Input": "tom drives from town r to town b , driving at a constant speed of 60 miles per hour . from town b tom immediately continues to town c . the distance between r and b is twice the distance between b and c . if the average speed of the whole journey was 36 mph , then what is tom ' s speed driving from b to c in miles per hour ?", + "Output Program": [ + "n0 = 60.0\nn1 = 36.0\nt0 = 1.0 + 2.0\nt1 = 2.0 / n0\nt2 = t0 / n1\nt3 = t2 - t1\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two trains are moving in opposite directions with speed of 210 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds", + "Output Program": [ + "n0 = 210.0\nn1 = 90.0\nn2 = 1.1\nn3 = 0.9\nt0 = n2 + n3\nt1 = n0 + n1\nt2 = t0 / t1\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "in a 240 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is :", + "Output Program": [ + "n0 = 240.0\nn1 = 56.0\nn2 = 7.0\nt0 = n2 / n1\nt1 = n0 * t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "23" + ], + "split": "train" + }, + { + "Input": "the perimeter of a semi circle is 198 cm then the radius is ?", + "Output Program": [ + "n0 = 198.0\nt0 = 2.0 + 3.141592653589793\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "38.50946843518593" + ], + "split": "train" + }, + { + "Input": "joe drives 360 miles at 60 miles per hour , and then he drives the next 120 miles at 40 miles per hour . what is his average speed for the entire trip in miles per hour ?", + "Output Program": [ + "n0 = 360.0\nn1 = 60.0\nn2 = 120.0\nn3 = 40.0\nt0 = n0 + n2\nt1 = n0 / n1\nt2 = n2 / n3\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "53.333333333333336" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 70 km / hr crosses a pole in 36 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 70.0\nn1 = 36.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "700" + ], + "split": "train" + }, + { + "Input": "a jeep takes 3 hours to cover a distance of 440 km . how much should the speed in kmph be maintained to cover the same direction in 1 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 3.0\nn1 = 440.0\nn2 = 1.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "293.3333333333333" + ], + "split": "train" + }, + { + "Input": "the ratio between the length and the breadth of a rectangular park is 1 : 4 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 min , then the area of the park ( in sq . m ) is ?", + "Output Program": [ + "n0 = 1.0\nn1 = 4.0\nn2 = 12.0\nn3 = 8.0\nt0 = n0 + n1\nt1 = 2.0 * 3.0\nt2 = t1 * 10.0\nt3 = n2 / t2\nt4 = n3 * t3\nt5 = t4 * 1000.0\nt6 = t5 / t0\nt7 = t6 / 2.0\nt8 = n1 * t7\nanswer = t7 * t8 # area of rectangle\nprint(answer)" + ], + "Output Answer": [ + "102400" + ], + "split": "train" + }, + { + "Input": "a train 300 m long can cross an electric pole in 15 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 300.0\nn1 = 15.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "a pipe can empty 2 / 3 rd of a cistern in 12 mins . in 5 mins , what part of the cistern will be empty ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 12.0\nn3 = 5.0\nt0 = n0 / n1\nt1 = n3 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "0.27777777777777773" + ], + "split": "train" + }, + { + "Input": "two trains are moving in opposite directions @ 100 kmph and 120 kmph . their length are 500 m and 700 m . the time taken by the slower train to cross faster train in second is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 120.0\nn2 = 500.0\nn3 = 700.0\nt0 = n2 + n3\nt1 = n0 + n1\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "19.6347928529354" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 250 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 250.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "14.998800095992321" + ], + "split": "train" + }, + { + "Input": "riya and priya set on a journey . riya moves eastward at a speed of 20 kmph and priya moves westward at a speed of 30 kmph . how far will be priya from riya after 30 minutes", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 30.0\nt0 = n0 + n1\nt1 = t0 / 60.0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 10 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 10.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "870" + ], + "split": "train" + }, + { + "Input": "a train 700 m long can cross an electric pole in 40 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 700.0\nn1 = 40.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "62.99999999999999" + ], + "split": "train" + }, + { + "Input": "a woman complete a journey in 25 hours . she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km .", + "Output Program": [ + "n0 = 25.0\nn1 = 21.0\nn2 = 24.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = t1 / t0\nt3 = n1 * t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "560" + ], + "split": "train" + }, + { + "Input": "the distance from city a to city b is 120 miles . while driving from city a to city b , cara drives at a constant speed of 30 miles per hour . dan leaves city a 60 minutes after cara . what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ?", + "Output Program": [ + "n0 = 120.0\nn1 = 30.0\nn2 = 60.0\nt0 = n0 / n1\nt1 = n2 / 60.0\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "jack and christina are standing 150 feet apart on a level surface . their dog , lindy , is standing next to christina . at the same time , they all begin moving toward each other . jack walks in a straight line toward christina at a constant speed of 7 feet per second and christina walks in a straight line toward jack at a constant speed of 8 feet per second . lindy runs at a constant speed of 10 feet per second from christina to jack , back to christina , back to jack , and so forth . what is the total distance , in feet , that lindy has traveled when the three meet at one place ?", + "Output Program": [ + "n0 = 150.0\nn1 = 7.0\nn2 = 8.0\nn3 = 10.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph . a man rows to a place at a distance of 6840 km and comes back to the starting point . the total time taken by him is :", + "Output Program": [ + "n0 = 16.0\nn1 = 2.0\nn2 = 6840.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "868.5714285714286" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 25 cm ?", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 25.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "475" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 24 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 112 km downstream", + "Output Program": [ + "n0 = 24.0\nn1 = 4.0\nn2 = 112.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "find the l . c . m . of 72 , 108 and 2100 .", + "Output Program": [ + "n0 = 72.0\nn1 = 108.0\nn2 = 2100.0\nt0 = 1.0 + 4.0\nt1 = n2 / 2.0\nt2 = 2.0**min(3.0, 5)\nt3 = 3.0**min(3.0, 5)\nt4 = t1 / 2.0\nt5 = t0**min(2.0, 5)\nt6 = t4 / 3.0\nt7 = t2 * t5\nt8 = t6 / t0\nt9 = t7 * t3\nt10 = t8 / t0\nanswer = t10 * t9\nprint(answer)" + ], + "Output Answer": [ + "37800" + ], + "split": "train" + }, + { + "Input": "how many inches are in 2000 millimeters ? ( round your answer to the nearest hundredth of of an inch ) .", + "Output Program": [ + "n0 = 2000.0\nt0 = n0 / 10.0\nanswer = t0 * 0.3937\nprint(answer)" + ], + "Output Answer": [ + "78.74" + ], + "split": "train" + }, + { + "Input": "the current in a river is 6 mph . a boat can travel 20 mph in still water . how far up the river can the boat travel if the round trip is to take 10 hours ?", + "Output Program": [ + "n0 = 6.0\nn1 = 20.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = n1 - n0\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n2 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "91" + ], + "split": "train" + }, + { + "Input": "if a monkey can climb 6 meter & slip down 3 meter in alternate minutes , than how much time can be taken by the monkey to climb up to a height of 60 meter .", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nn2 = 60.0\nt0 = n1 / 2.0\nt1 = n2 - n0\nt2 = t1 / t0\nanswer = t2 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "37" + ], + "split": "train" + }, + { + "Input": "on a map , 1.5 inches represent 24 miles . how many miles approximately is the distance if you measured 46 centimeters assuming that 1 - inch is 2.54 centimeters ?", + "Output Program": [ + "n0 = 1.5\nn1 = 24.0\nn2 = 46.0\nn3 = 1.0\nn4 = 2.54\nt0 = n2 / n4\nt1 = n1 / n0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "289.76377952755905" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 6 km / hr crosses a pole in 2 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 6.0\nn1 = 2.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "3.3333333333333335" + ], + "split": "train" + }, + { + "Input": "suppose you work for a manufacturing plant that pays you $ 12.50 an hour plus $ 0.16 for each widget you make . how many widgets must you produce in a 40 hour week to earn $ 660 ( before payroll deductions ) ?", + "Output Program": [ + "n0 = 12.5\nn1 = 0.16\nn2 = 40.0\nn3 = 660.0\nt0 = n0 * n2\nt1 = n3 - t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "1000" + ], + "split": "train" + }, + { + "Input": "in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 50 questions and secures 130 marks , the no of questions he attempts correctly is :", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 50.0\nn3 = 130.0\nt0 = n2 + n3\nt1 = n0 + n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "14 men can complete a piece of work in 22 days . in how many days can 18 men complete that piece of work ?", + "Output Program": [ + "n0 = 14.0\nn1 = 22.0\nn2 = 18.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "17.11111111111111" + ], + "split": "train" + }, + { + "Input": "39 persons can repair a road in 12 days , working 10 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 39.0\nn1 = 12.0\nn2 = 10.0\nn3 = 30.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "man can row upstream at 30 kmph and downstream at 40 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 27 seconds . what is the length of each train ( in meters ) ?", + "Output Program": [ + "n0 = 46.0\nn1 = 36.0\nn2 = 27.0\nt0 = n0 - n1\nt1 = t0 * 1000.0\nt2 = t1 / 3600.0\nt3 = n2 * t2\nanswer = t3 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "37.5" + ], + "split": "train" + }, + { + "Input": "two trains of length 120 meter and 150 meter crosses a stationary man in 10 and 15 seconds respectively . in what time they will cross each other when they are moving in same direction .", + "Output Program": [ + "n0 = 120.0\nn1 = 150.0\nn2 = 10.0\nn3 = 15.0\nt0 = n0 + n1\nt1 = n0 / n2\nt2 = n1 / n3\nt3 = t1 - t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "135" + ], + "split": "train" + }, + { + "Input": "a car traveled from san diego to san francisco at an average speed of 63 miles per hour . if the journey back took twice as long , what was the average speed of the trip ?", + "Output Program": [ + "n0 = 63.0\nt0 = 1 / n0\nt1 = t0 / 2.0\nt2 = t1 + t0\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "how many pieces of 85 cm length can be cut from a rod of 29.75 meters long ?", + "Output Program": [ + "n0 = 85.0\nn1 = 29.75\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "express a speed of 46 kmph in meters per second ?", + "Output Program": [ + "n0 = 46.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "12.7788" + ], + "split": "train" + }, + { + "Input": "42 men can complete a piece of work in 18 days . in how many days will 27 men complete the same work ?", + "Output Program": [ + "n0 = 42.0\nn1 = 18.0\nn2 = 27.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "angelina walked 250 meters from her home to the grocery at a constant speed . she then walked 360 meters to the gym at double the speed . she spent 70 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ?", + "Output Program": [ + "n0 = 250.0\nn1 = 360.0\nn2 = 70.0\nt0 = n1 / 2.0\nt1 = n0 - t0\nt2 = t1 / n2\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "if 12 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days ?", + "Output Program": [ + "n0 = 12.0\nn1 = 80.0\nn2 = 24.0\nn3 = 36.0\nn4 = 30.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t1 / n1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "a tank is filled in 10 hours by 3 pipes a , b and c . pipe a is twice as fast as pipe b , and b is twice as fast as c . how much time will pipe b alone take to fill the tank ?", + "Output Program": [ + "n0 = 10.0\nn1 = 3.0\nt0 = n1 + 4.0\nt1 = 2.0 / t0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "two pipes a and b can separately fill a cistern in 60 minutes and 120 minutes respectively . there is a third pipe in the bottom of the cistern to empty it . if all the three pipes are simultaneously opened , then the cistern is full in 60 minutes . in how much time , the third pipe alone can empty the cistern ?", + "Output Program": [ + "n0 = 60.0\nn1 = 120.0\nn2 = 60.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "119.99999999999997" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 4.0\nn1 = 9.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.199999999999999" + ], + "split": "train" + }, + { + "Input": "during a car trip , maria stopped to rest after she traveled 1 / 2 of the total distance to her destination . she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination , and then she drove the remaining 180 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 1.0\nn3 = 4.0\nn4 = 180.0\nt0 = n0 / n1\nt1 = n0 / n3\nt2 = t0 * t1\nt3 = t0 + t2\nt4 = n0 - t3\nanswer = n4 / t4\nprint(answer)" + ], + "Output Answer": [ + "480" + ], + "split": "train" + }, + { + "Input": "if 4 men can paint 60 m long wall in 3 days , then 5 men can paint 50 m long wall in", + "Output Program": [ + "n0 = 4.0\nn1 = 60.0\nn2 = 3.0\nn3 = 5.0\nn4 = 50.0\nt0 = n1 / n2\nt1 = t0 / n0\nt2 = n3 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a 250 m long train is running at a speed of 55 km / hr . it crossed a platform of length 300 m in ?", + "Output Program": [ + "n0 = 250.0\nn1 = 55.0\nn2 = 300.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "35.99712023038157" + ], + "split": "train" + }, + { + "Input": "in what time will a train 120 metres long cross an electric pole , if its speed be 72 km / hr ?", + "Output Program": [ + "n0 = 120.0\nn1 = 72.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "5.999520038396929" + ], + "split": "train" + }, + { + "Input": "a , b and c completed a piece of work , a worked for 6 days , b for 9 days and c for 4 days . their daily wages were in the ratio of 3 : 4 : 5 . find the daily wages of c , if their total earning was rs . 1850 ?", + "Output Program": [ + "n0 = 6.0\nn1 = 9.0\nn2 = 4.0\nn3 = 3.0\nn4 = 4.0\nn5 = 5.0\nn6 = 1850.0\nt0 = n0 * n3\nt1 = n1 * n2\nt2 = n2 * n5\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = n6 / t4\nanswer = n5 * t5\nprint(answer)" + ], + "Output Answer": [ + "125" + ], + "split": "train" + }, + { + "Input": "a worker ' s daily wage is increased by 50 % and the new wage is $ 42 per day . what was the worker ' s daily wage before the increase ?", + "Output Program": [ + "n0 = 50.0\nn1 = 42.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "a 300 meter long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "if a boat is rowed downstream for 500 km in 5 hours and upstream for 240 km in 6 hours , what is the speed of the boat and the river ?", + "Output Program": [ + "n0 = 500.0\nn1 = 5.0\nn2 = 240.0\nn3 = 6.0\nt0 = n2 / n3\nt1 = n0 / n1\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "a rectangular plot measuring 40 meters by 50 meters is to be enclosed by wire fencing . if the poles of the fence are kept 5 meters apart . how many poles will be needed ?", + "Output Program": [ + "n0 = 40.0\nn1 = 50.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = t0 * 2.0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a , band c can do a piece of work in 11 days , 20 days and 55 days respectively , working alone . how soon can the work be done if a is assisted by band c on alternate days ?", + "Output Program": [ + "n0 = 11.0\nn1 = 20.0\nn2 = 55.0\nt0 = n2 / n0\nt1 = n2 / n1\nt2 = n2 / n2\nt3 = t0 + t1\nt4 = t0 + t2\nt5 = t3 + t4\nt6 = t5 / 2.0\nanswer = n2 / t6\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 58 km / hr crosses a pole in 9 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 58.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "145" + ], + "split": "train" + }, + { + "Input": "a train with a length of 100 meters , is traveling at a speed of 72 km / hr . the train enters a tunnel 1.1 km long . how many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges ?", + "Output Program": [ + "n0 = 100.0\nn1 = 72.0\nn2 = 1.1\nt0 = n0 / 1000.0\nt1 = n2 + t0\nt2 = t1 / n1\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "1.0000000000000002" + ], + "split": "train" + }, + { + "Input": "in traveling from a dormitory to a certain city , a student went 1 / 5 of the way by foot , 2 / 3 of the way by bus , and the remaining 14 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?", + "Output Program": [ + "n0 = 1.0\nn1 = 5.0\nn2 = 2.0\nn3 = 3.0\nn4 = 14.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 + t1\nt3 = n0 - t2\nt4 = 1 / t3\nanswer = n4 * t4\nprint(answer)" + ], + "Output Answer": [ + "105.00000000000003" + ], + "split": "train" + }, + { + "Input": "two trains of length 210 m and 120 m are 160 m apart . they start moving towards each other on parallel tracks , at speeds 74 kmph and 92 kmph . after how much time will the trains meet ?", + "Output Program": [ + "n0 = 210.0\nn1 = 120.0\nn2 = 160.0\nn3 = 74.0\nn4 = 92.0\nt0 = n3 + n4\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "3.4696019499162962" + ], + "split": "train" + }, + { + "Input": "tammy climbed a mountain in two days . she spent a total of 14 hours climbing the mountain . on the second day , she walked at an average speed that was half a kilometer per hour faster , but 2 hours less than what she walked on the first day . if the total distance she climbed during the two days is 52 kilometers , how many q kilometers per hour did tammy walk on the second day ?", + "Output Program": [ + "n0 = 14.0\nn1 = 2.0\nn2 = 52.0\nt0 = n0 + n1\nt1 = 1.0 / n1\nt2 = t0 / n1\nt3 = t2 - n1\nt4 = t2 + t3\nt5 = t3 / n1\nt6 = n2 - t5\nt7 = t6 / t4\nanswer = t7 + t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "4 men can check exam papers in 8 days working 5 hours regularly . what is the total hours when 2 men will check the double of the papers in 20 days ?", + "Output Program": [ + "n0 = 4.0\nn1 = 8.0\nn2 = 5.0\nn3 = 2.0\nn4 = 20.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nt3 = n3 * t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "16 boys or 24 girls can construct the wall in 6 days . the number of days that 8 boys and 24 girls will take to construct ?", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nn2 = 6.0\nn3 = 8.0\nn4 = 24.0\nt0 = 1.0 / n2\nt1 = t0 / n1\nt2 = t0 / n0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t3 + t4\nanswer = 1.0 / t5\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1.20 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?", + "Output Program": [ + "import math\nn0 = 3136.0\nn1 = 3.0\nn2 = 1.2\nn3 = 1.0\nt0 = n3 * 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 * 4.0\nt3 = t2 - t0\nt4 = n2 * t3\nanswer = t4 * n1\nprint(answer)" + ], + "Output Answer": [ + "799.1999999999999" + ], + "split": "train" + }, + { + "Input": "a person crosses a 600 m long street in 5 minutes . what is his speed in km per hour ?", + "Output Program": [ + "n0 = 600.0\nn1 = 5.0\nt0 = n0 / 1000.0\nt1 = n1 * 60.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.2" + ], + "split": "train" + }, + { + "Input": "when sourav increases his speed from 20 km / hr to 25 km / hr , he takes one hour less than the usual time to cover a certain distance . what is the distance usually covered by him ?", + "Output Program": [ + "n0 = 20.0\nn1 = 25.0\nt0 = n1 - n0\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a room of 5 m 44 cm long and 3 m 74 cm broad is to be paved with square tiles . find the least number of square tiles required to cover the floor .", + "Output Program": [ + "n0 = 5.0\nn1 = 44.0\nn2 = 3.0\nn3 = 74.0\nt0 = n0 * 100.0\nt1 = n2 * 100.0\nt2 = 2.0**min(4.0, 5)\nt3 = n1 + t0\nt4 = n3 + t1\nt5 = t3 / t2\nt6 = t3 * t4\nt7 = t5**min(2.0, 5)\nanswer = t6 / t7\nprint(answer)" + ], + "Output Answer": [ + "176" + ], + "split": "train" + }, + { + "Input": "400 metres long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees", + "Output Program": [ + "n0 = 400.0\nn1 = 26.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a car averages 30 miles per hour for the first 6 hours of a trip and averages 46 miles per hour for each additional hour of travel time . if the average speed for the entire trip is 34 miles per hour , how many hours long is the trip ?", + "Output Program": [ + "n0 = 30.0\nn1 = 6.0\nn2 = 46.0\nn3 = 34.0\nt0 = n1 * n3\nt1 = n0 * n1\nt2 = n2 - n3\nt3 = t0 - t1\nt4 = t3 / t2\nanswer = n1 + t4\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "if 15 men , working 9 hours a day , can reap a field in 16 days , in how many days will 18 men reap the field , working 8 hours a day ?", + "Output Program": [ + "n0 = 15.0\nn1 = 9.0\nn2 = 16.0\nn3 = 18.0\nn4 = 8.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "how long will take a leak at the bottom of a tank to empty it if it will take 3 hours to fill it without the leak , but due to the leak it will take one additional hour to be filled ?", + "Output Program": [ + "n0 = 3.0\nt0 = n0 + 1.0\nt1 = 1 / n0\nt2 = 1 / t0\nt3 = t1 - t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of rs . 800 per sq . meter .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 800.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "16500" + ], + "split": "train" + }, + { + "Input": "machine c takes 2 more hours than machine b to make 20 widgets . if working together , the machines can make 25 widgets in 3 hours , how long will it take machine c to make 40 widgets ?", + "Output Program": [ + "n0 = 2.0\nn1 = 20.0\nn2 = 25.0\nn3 = 3.0\nn4 = 40.0\nt0 = n0 + 4.0\nt1 = n4 * t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "if a is thrice as fast as b and together can do a work in 12 days . in how many days a alone can do the work ?", + "Output Program": [ + "n0 = 12.0\nt0 = n0 * 4.0\nt1 = 3.0 / t0\nanswer = 1 / t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a flagpole 18 meters high casts a shadow of length 45 meters . if a building under similar conditions casts a shadow of length 60 meters , what is the height of the building ( in meters ) ?", + "Output Program": [ + "n0 = 18.0\nn1 = 45.0\nn2 = 60.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "8 men , working 7 hours a day can complete a work in 18 days . how many hours a day must 12 men work to complete the same work in 12 days ?", + "Output Program": [ + "n0 = 8.0\nn1 = 7.0\nn2 = 18.0\nn3 = 12.0\nn4 = 12.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a computer factory produces 4200 computers per month at a constant rate , how many computers are built every 30 minutes assuming that there are 28 days in one month ?", + "Output Program": [ + "n0 = 4200.0\nn1 = 30.0\nn2 = 28.0\nt0 = n0 / n2\nt1 = n2 - 4.0\nt2 = t1 * 2.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.125" + ], + "split": "train" + }, + { + "Input": "xavier starts from p towards q at a speed of 50 kmph and after every 12 mins increases his speed by 10 kmph . if the distance between p and q is 52 km , then how much time does he take to cover the distance ?", + "Output Program": [ + "n0 = 50.0\nn1 = 12.0\nn2 = 10.0\nn3 = 52.0\nt0 = n1 + n1\nt1 = n1 + t0\nanswer = n1 + t1\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "on a 20 mile course , pat bicycled at an average rate of 30 miles per hour for the first 12 minutes and without a break , ran the rest of the distance at an average rate of 8 miles per hour . how many minutes did pat take to cover the entire course ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 12.0\nn3 = 8.0\nt0 = n2 / 60.0\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n3\nt4 = t3 * 60.0\nanswer = n2 + t4\nprint(answer)" + ], + "Output Answer": [ + "117" + ], + "split": "train" + }, + { + "Input": "express 22 mps in kmph ?", + "Output Program": [ + "n0 = 22.0\nt0 = n0 / 1000.0\nanswer = t0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "79.19999999999999" + ], + "split": "train" + }, + { + "Input": "two trains 140 m and 160 m long run at the speed of 60 kmph and 40 kmph in opposite directions in parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 140.0\nn1 = 160.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "10.799136069114471" + ], + "split": "train" + }, + { + "Input": "what distance will be covered by a bus moving at 108 kmph in 30 seconds ?", + "Output Program": [ + "n0 = 108.0\nn1 = 30.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "900.0719999999999" + ], + "split": "train" + }, + { + "Input": "if 20 men can build a wall 112 metres long in 6 days , what length of a similar wall can be built by 30 men in 3 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 112.0\nn2 = 6.0\nn3 = 30.0\nn4 = 3.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "train" + }, + { + "Input": "if the speed of a man is 57 km per hour , then what is the distance traveled by him in 30 seconds ?", + "Output Program": [ + "n0 = 57.0\nn1 = 30.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "475.038" + ], + "split": "train" + }, + { + "Input": "a hiker walked for 3 days . she walked 18 miles on the first day , walking 3 miles per hour . on the second day she walked for one less hour but she walked one mile per hour , faster than on the first day . on the third day she walked the same number of hours as on the first day , but at the same speed as on the second day . how many miles in total did she walk ?", + "Output Program": [ + "n0 = 3.0\nn1 = 18.0\nn2 = 3.0\nt0 = n0 + 1.0\nt1 = n1 / n0\nt2 = t0 * t1\nt3 = t1 - 1.0\nt4 = t0 * t3\nt5 = n1 + t4\nanswer = t5 + t2\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "train" + }, + { + "Input": "a runner runs the 40 miles from marathon to athens at a constant speed . halfway through the run she injures her foot , and continues to run at half her previous speed . if the second half takes her 4 hours longer than the first half , how many hours did it take the runner to run the second half ?", + "Output Program": [ + "n0 = 40.0\nn1 = 4.0\nt0 = n0 / 2.0\nt1 = t0 / n1\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a man can do a job in 15 days . his father takes 20 days and his son finishes it in 25 days . how long will they take to complete the job if they all work together ?", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 25.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "6.382978723404255" + ], + "split": "train" + }, + { + "Input": "a machine , working at a constant rate , manufactures 18 pens in 30 minutes . how many pens does it make in 1 hr 45 min ?", + "Output Program": [ + "n0 = 18.0\nn1 = 30.0\nn2 = 1.0\nn3 = 45.0\nt0 = n2 * 60.0\nt1 = n3 + t0\nt2 = t1 / n1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "63" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 225 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", + "Output Program": [ + "n0 = 2.0\nn1 = 1.0\nn2 = 1.0\nn3 = 225.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 42 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 42.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "700" + ], + "split": "train" + }, + { + "Input": "ajay can walk 6 km in 1 hour . in how many hours he can walk 70 km ?", + "Output Program": [ + "n0 = 6.0\nn1 = 1.0\nn2 = 70.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "11.666666666666666" + ], + "split": "train" + }, + { + "Input": "if 20 men take 15 days to to complete a job , in how many days can 20 men finish that work ?", + "Output Program": [ + "n0 = 20.0\nn1 = 15.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work 40 days . b can do work in 60 days . in how many days they will complete the work together ?", + "Output Program": [ + "n0 = 40.0\nn1 = 60.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "23.999999999999996" + ], + "split": "train" + }, + { + "Input": "a , band c can do a piece of work in 11 days , 20 days and 67 days respectively , working alone . how soon can the work be done if a is assisted by band c on alternate days ?", + "Output Program": [ + "n0 = 11.0\nn1 = 20.0\nn2 = 67.0\nt0 = n2 / n0\nt1 = n2 / n1\nt2 = n2 / n2\nt3 = t0 + t1\nt4 = t0 + t2\nt5 = t3 + t4\nt6 = t5 / 2.0\nanswer = n2 / t6\nprint(answer)" + ], + "Output Answer": [ + "8.105581523233434" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 36 m at the rate of rs . 3.50 a meter ?", + "Output Program": [ + "import math\nn0 = 36.0\nn1 = 3.5\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "395.84067435231395" + ], + "split": "train" + }, + { + "Input": "if two projectiles are launched at the same moment from 1386 km apart and travel directly towards each other at 445 km per hour and 545 km per hour respectively , how many minutes will it take for them to meet ?", + "Output Program": [ + "n0 = 1386.0\nn1 = 445.0\nn2 = 545.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "train" + }, + { + "Input": "calculate the time it will take for a full tank to become completely empty due to a leak given that the tank could be filled in 7 hours , but due to the leak in its bottom it takes 8 hours to be filled ?", + "Output Program": [ + "n0 = 7.0\nn1 = 8.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "56.00000000000003" + ], + "split": "train" + }, + { + "Input": "a train leaves mumabai at 9 am at a speed of 30 kmph . after one hour , another train leaves mumbai in the same direction as that of the first train at a speed of 60 kmph . when and at what distance from mumbai do the two trains meet ?", + "Output Program": [ + "n0 = 9.0\nn1 = 30.0\nn2 = 60.0\nt0 = n1 * 1.0\nt1 = n2 - n1\nt2 = t0 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "john goes to his office by car at a speed of 40 kmph and reaches 8 minutes earlier . if he goes at a speed of 30 kmph , he reaches 4 mins late . what is the distance from his house to office ?", + "Output Program": [ + "n0 = 40.0\nn1 = 8.0\nn2 = 30.0\nn3 = 4.0\nt0 = n1 + n3\nt1 = n0 - n2\nt2 = t0 / 60.0\nt3 = n2 * t2\nt4 = t3 / t1\nanswer = n0 * t4\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "find the length of the longest pole that can be placed in an indoor stadium 24 m long , 18 m wide and 16 m high", + "Output Program": [ + "import math\nn0 = 24.0\nn1 = 18.0\nn2 = 16.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = n2**min(2.0, 5)\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = math.sqrt(max(0, t4))\nprint(answer)" + ], + "Output Answer": [ + "34" + ], + "split": "train" + }, + { + "Input": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 39 kmph , find the speed of the stream ?", + "Output Program": [ + "n0 = 39.0\nt0 = n0 * 2.0\nt1 = t0 / 3.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "if the perimeter of a rectangular garden is 800 m , its length when its breadth is 100 m is ?", + "Output Program": [ + "n0 = 800.0\nn1 = 100.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is travelling at 15 kmph observes that a goods train , travelling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed ?", + "Output Program": [ + "n0 = 15.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "97" + ], + "split": "train" + }, + { + "Input": "two trains are moving in opposite directions with speed of 150 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds", + "Output Program": [ + "n0 = 150.0\nn1 = 90.0\nn2 = 1.1\nn3 = 0.9\nt0 = n2 + n3\nt1 = n0 + n1\nt2 = t0 / t1\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a copy machine , working at a constant rate , makes 35 copies per minute . a second copy machine , working at a constant rate , makes 75 copies per minute . working together at their respective rates , how many copies do the two machines make in half an hour ?", + "Output Program": [ + "n0 = 35.0\nn1 = 75.0\nt0 = n0 + n1\nt1 = t0 * 60.0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "3300" + ], + "split": "train" + }, + { + "Input": "the lenght of a room is 5.5 m and width is 4 m . find the cost of paving the floor by slabs at the rate of rs . 750 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 4.0\nn2 = 750.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "16500" + ], + "split": "train" + }, + { + "Input": "ravi covers a distance of 900 mtrs in 180 secs . find his speed in kmph ?", + "Output Program": [ + "n0 = 900.0\nn1 = 180.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "pipe p can drain the liquid from a tank in 3 / 4 the time that it takes pipe q to drain it and in 3 / 3 the time that it takes pipe r to do it . if all 3 pipes operating simultaneously but independently are used to drain liquid from the tank , then pipe q drains what portion of the liquid from the tank ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 3.0\nn3 = 3.0\nn4 = 3.0\nt0 = n0 * n0\nt1 = n0 * n1\nt2 = t1 * 2.0\nt3 = t2 + t0\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "0.2727272727272727" + ], + "split": "train" + }, + { + "Input": "xavier starts from p towards q at a speed of 40 kmph and after every 12 mins increases his speed by 20 kmph . if the distance between p and q is 56 km , then how much time does he take to cover the distance ?", + "Output Program": [ + "n0 = 40.0\nn1 = 12.0\nn2 = 20.0\nn3 = 56.0\nt0 = n1 + n1\nt1 = n1 + t0\nanswer = n1 + t1\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "a train 130 m long passes a man , running at 6 kmph in the direction opposite to that of the train , in 6 seconds . the speed of the train is", + "Output Program": [ + "n0 = 130.0\nn1 = 6.0\nn2 = 6.0\nt0 = n1 * 0.2778\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n1\nanswer = t3 / 0.2778\nprint(answer)" + ], + "Output Answer": [ + "71.99376049916006" + ], + "split": "train" + }, + { + "Input": "a barrel full of beer has 2 taps one midway , , which draw a litre in 6 minutes and the other at the bottom , which draws a litre in 4 minutes . the lower tap is lower normally used after the level of beer in the barrel is lower than midway . the capacity of the barrel is 36 litres . a new assistant opens the lower tap when the barrel is full and draws out some beer . as a result the lower tap has been used 24 minutes before the usual time . for how long was the beer drawn out by the new assistant ?", + "Output Program": [ + "n0 = 2.0\nn1 = 6.0\nn2 = 4.0\nn3 = 36.0\nn4 = 24.0\nt0 = n3 / 2.0\nt1 = n1 * t0\nt2 = t1 - n4\nt3 = t2 / n1\nt4 = t0 - t3\nanswer = n2 * t4\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "two trains a and b starting from two points and travelling in opposite directions , reach their destinations 9 hours and 4 hours respectively after meeting each other . if the train a travels at 100 kmph , find the rate at which the train b runs .", + "Output Program": [ + "import math\nn0 = 9.0\nn1 = 4.0\nn2 = 100.0\nt0 = n0 / n1\nt1 = math.sqrt(max(0, t0))\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "36 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 36.0\nn1 = 12.0\nn2 = 5.0\nn3 = 30.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a can run 4 times as fast as b and gives b a start of 63 m . how long should the race course be so that a and b might reach in the same time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 63.0\nt0 = n1 / n0\nt1 = n0 - 1.0\nt2 = t0 / t1\nt3 = n0 * t2\nanswer = n1 + t3\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "train" + }, + { + "Input": "car x began traveling at an average speed of 35 miles per hour . after 72 minutes , car y began traveling at an average speed of 40 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?", + "Output Program": [ + "n0 = 35.0\nn1 = 72.0\nn2 = 40.0\nt0 = n1 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "294" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 22 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 216 km downstream", + "Output Program": [ + "n0 = 22.0\nn1 = 5.0\nn2 = 216.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "in covering a distance of 18 km , abhay takes 2 hours more than sameer . if abhay doubles his speed , then he would take 1 hour less than sameer . abhay ' s speed is :", + "Output Program": [ + "n0 = 18.0\nn1 = 2.0\nn2 = 1.0\nt0 = n1 + n2\nt1 = n0 / n1\nt2 = n0 - t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "working alone , john finishes cleaning half the house in a third of the time it takes nick to clean the entire house alone . john alone cleans the entire house in 6 hours . how many hours will it take nick and john to clean the entire house if they work together ?", + "Output Program": [ + "n0 = 6.0\nt0 = 3.0 / 2.0\nt1 = 1 / n0\nt2 = n0 * t0\nt3 = 1 / t2\nt4 = t1 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "3.5999999999999996" + ], + "split": "train" + }, + { + "Input": "how many bricks each measuring 21 cm x 10 cm x 8 cm , will be needed to build a wall 9 m x 5 m x 18.5 m", + "Output Program": [ + "n0 = 21.0\nn1 = 10.0\nn2 = 8.0\nn3 = 9.0\nn4 = 5.0\nn5 = 18.5\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = n5 * t0\nt3 = n2 * t1\nt4 = t3 / 100.0\nt5 = t4 / 100.0\nanswer = t2 / t5\nprint(answer)" + ], + "Output Answer": [ + "4955.357142857142" + ], + "split": "train" + }, + { + "Input": "a can do a work in 20 days and b in 30 days . if they work on it together for 4 days , then the fraction of the work that is left is :", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.6666666666666666" + ], + "split": "train" + }, + { + "Input": "tom and linda stand at point a . linda begins to walk in a straight line away from tom at a constant rate of 3 miles per hour . one hour later , tom begins to jog in a straight line in the exact opposite direction at a constant rate of 8 miles per hour . if both tom and linda travel indefinitely , what is the positive difference , in minutes , between the amount of time it takes tom to cover half of the distance that linda has covered and the amount of time it takes tom to cover twice the distance that linda has covered ?", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nt0 = 2.0 * 2.0\nt1 = n0 * 2.0\nt2 = n1 - n0\nt3 = 2.0 / t2\nt4 = n1 - t1\nt5 = t0 / t4\nt6 = t5 - t3\nanswer = t6 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "96" + ], + "split": "train" + }, + { + "Input": "3 bodies x , y and z start moving around a circular track of length 960 m from the same point simultaneously in the same direction at speeds of 12 m / s , 20 m / s and 36 m / s respectively . when will they meet for the first time after they started moving ?", + "Output Program": [ + "n0 = 3.0\nn1 = 960.0\nn2 = 12.0\nn3 = 20.0\nn4 = 36.0\nt0 = n3 - n2\nanswer = n1 / t0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "two cars start at the same time from opposite ends of a highway that is 60 miles long . one car is riding at 13 mph and the second car is riding at 17 mph . how long after they begin will they meet ?", + "Output Program": [ + "n0 = 60.0\nn1 = 13.0\nn2 = 17.0\nt0 = n1 + n2\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a is twice as good a workman as b and they took 6 days together to do the work b alone can do it in ?", + "Output Program": [ + "n0 = 6.0\nt0 = 1.0 + 2.0\nt1 = n0 * t0\nt2 = t1 / 2.0\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "the cross - section of a stream is a trapezium in shape . if the stream is 10 m wide at the top and the area of cross - section is 640 sq m , the depth of stream is 80 m and width at the bottom is ?", + "Output Program": [ + "n0 = 10.0\nn1 = 640.0\nn2 = 80.0\nt0 = 1.0 / 2.0\nt1 = n2 * t0\nt2 = n0 * t1\nt3 = n1 - t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a and b together can do a piece of work in 6 days and a alone can do it in 11 days . in how many days can b alone can do it ?", + "Output Program": [ + "n0 = 6.0\nn1 = 11.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "13.200000000000003" + ], + "split": "train" + }, + { + "Input": "it takes joey the postman 1 hours to run a 6 mile long route every day . he delivers packages and then returns to the post office along the same path . if the average speed of the round trip is 8 mile / hour , what is the speed with which joey returns ?", + "Output Program": [ + "n0 = 1.0\nn1 = 6.0\nn2 = 8.0\nt0 = n1 * 2.0\nt1 = t0 / n2\nt2 = t1 - n0\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 5 seconds longer to travel 1 km than it would take to travel 1 km at 60 km / hour . at what speed , in km / hr , is the car traveling ?", + "Output Program": [ + "n0 = 5.0\nn1 = 1.0\nn2 = 1.0\nn3 = 60.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "55.38461538461539" + ], + "split": "train" + }, + { + "Input": "a tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes . the inlet pipe fills water into the tank at the rate of 3 cubic inches / min and the 2 outlet pipes empty it out at the rates of 12 cubic inches / min and 6 cubic inches / min respectively . if all 3 pipes are opened when the tank is full , how many minutes does it take to empty the tank ? ( 1 foot = 12 inches )", + "Output Program": [ + "n0 = 30.0\nn1 = 2.0\nn2 = 3.0\nn3 = 2.0\nn4 = 12.0\nn5 = 6.0\nn6 = 3.0\nn7 = 1.0\nn8 = 12.0\nt0 = n4 + n5\nt1 = n4**min(3.0, 5)\nt2 = n0 * t1\nt3 = t0 - n2\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "3456" + ], + "split": "train" + }, + { + "Input": "natasha climbs up a hill , and descends along the same way she went up . it takes her 4 hours to reach the top and 2 hours to come back down . if her average speed along the whole journey is 3.5 kilometers per hour , what was her average speed ( in kilometers per hour ) while climbing to the top ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 3.5\nt0 = n0 + n1\nt1 = n2 * t0\nt2 = t1 / n1\nanswer = t2 / n0\nprint(answer)" + ], + "Output Answer": [ + "2.625" + ], + "split": "train" + }, + { + "Input": "three pipes , a , b , & c are attached to a tank . a & b can fill it in 20 & 30 minutes respectively while c can empty it in 15 minutes . if a , b & c are kept open successively for 2 minute each , how soon will the tank be filled ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 15.0\nn3 = 2.0\nt0 = n3 + n3\nanswer = n3 + t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 340 m long ?", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 340.0\nt0 = n2 / 1000.0\nt1 = n0 / 1000.0\nt2 = t0 + t1\nt3 = t2 / n1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "56" + ], + "split": "train" + }, + { + "Input": "tammy climbed a mountain in two days . she spent a total of 14 hours climbing the mountain . on the second day , she walked at an average speed that was half a kilometer per hour faster , but 2 hours less than what she walked on the first day . if the total distance she climbed during the two days is 52 kilometers , how many t kilometers per hour did tammy walk on the second day ?", + "Output Program": [ + "n0 = 14.0\nn1 = 2.0\nn2 = 52.0\nt0 = n0 + n1\nt1 = 1.0 / n1\nt2 = t0 / n1\nt3 = t2 - n1\nt4 = t2 + t3\nt5 = t3 / n1\nt6 = n2 - t5\nt7 = t6 / t4\nanswer = t7 + t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 120.0\nn1 = 280.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "19.99840012798976" + ], + "split": "train" + }, + { + "Input": "pipe a fills a tank of capacity 950 liters at the rate of 40 liters a minute . another pipe b fills the same tank at the rate of 30 liters a minute . a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute . if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated , when will the tank be full ?", + "Output Program": [ + "n0 = 950.0\nn1 = 40.0\nn2 = 30.0\nn3 = 20.0\nt0 = n1 + n2\nt1 = t0 - n3\nt2 = n0 / t1\nanswer = t2 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "57" + ], + "split": "train" + }, + { + "Input": "a alone can do a piece of work in 6 days and b alone in 8 days . a and b undertook to do it for rs . 5000 . with the help of c , they completed the work in 3 days . how much is to be paid to c ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 5000.0\nn3 = 3.0\nt0 = 1 / n3\nt1 = 1 / n1\nt2 = 1 / n0\nt3 = t1 + t2\nt4 = t0 - t3\nt5 = n2 * t4\nanswer = n3 * t5\nprint(answer)" + ], + "Output Answer": [ + "625.0000000000002" + ], + "split": "train" + }, + { + "Input": "75 boys can complete a work in 36 days . how many men need to complete twice the work in 20 days", + "Output Program": [ + "n0 = 75.0\nn1 = 36.0\nn2 = 20.0\nt0 = n1 * 2.0\nt1 = n0 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "270" + ], + "split": "train" + }, + { + "Input": "the diameter of the driving wheel of a bus in 140 cm . how many revolutions per minute must the wheel make in order to keep a speed of 20 kmph ?", + "Output Program": [ + "n0 = 140.0\nn1 = 20.0\nt0 = n1 + 2.0\nt1 = 3.0 + 4.0\nt2 = n0 / 100.0\nt3 = n1 * 1000.0\nt4 = t3 / 60.0\nt5 = t2 / 2.0\nt6 = t0 / t1\nt7 = t6 * 2.0\nt8 = t5 * t7\nanswer = t4 / t8\nprint(answer)" + ], + "Output Answer": [ + "75.75757575757576" + ], + "split": "train" + }, + { + "Input": "a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets into it . the mass of the man is ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "if a boat is rowed downstream for 96 km in 3 hours and upstream for 88 km in 11 hours , what is the speed of the boat and the river ?", + "Output Program": [ + "n0 = 96.0\nn1 = 3.0\nn2 = 88.0\nn3 = 11.0\nt0 = n2 / n3\nt1 = n0 / n1\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a flagstaff 17.5 m high casts a shadow of length 40.25 m . the height of the building , which casts a shadow of length 28.75 m under similar conditions will be", + "Output Program": [ + "n0 = 17.5\nn1 = 40.25\nn2 = 28.75\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "12.5" + ], + "split": "train" + }, + { + "Input": "a train is 360 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "there is enough provisions for 600 men in an army camp for 25 days . if there were 200 men less , how long will the provision last ?", + "Output Program": [ + "n0 = 600.0\nn1 = 25.0\nn2 = 200.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "my watch gains 5 min every hour . how many degrees the second hand moves in every min ?", + "Output Program": [ + "n0 = 5.0\nt0 = n0 + 60.0\nt1 = 3600.0 / 10.0\nt2 = t0 * t1\nanswer = t2 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "390" + ], + "split": "train" + }, + { + "Input": "if 5 cats can kill 5 rats in 5 minutes , how long will it take 100 cats to kill 100 rats ?", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 5.0\nn3 = 100.0\nn4 = 100.0\n\nanswer = n0 * 1.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "if 4 men can colour 48 m long cloth in 2 days , then 5 men can colour 36 m long cloth in", + "Output Program": [ + "n0 = 4.0\nn1 = 48.0\nn2 = 2.0\nn3 = 5.0\nn4 = 36.0\nt0 = n0 * n2\nt1 = n1 / t0\nt2 = n3 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "1.2" + ], + "split": "train" + }, + { + "Input": "man 1 does a work in 10 days and man 2 does the same work in 15 days . in how many days they together will do the same work ?", + "Output Program": [ + "n0 = 1.0\nn1 = 10.0\nn2 = 2.0\nn3 = 15.0\nt0 = 1.0 / n1\nt1 = 1.0 / n3\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "train" + }, + { + "Input": "two persons a and b can complete a piece of work in 30 days and 45 days respectively . if they work together , what part of the work will be completed in 3 days ?", + "Output Program": [ + "n0 = 30.0\nn1 = 45.0\nn2 = 3.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "0.16666666666666666" + ], + "split": "train" + }, + { + "Input": "how many hours are there in 660 minutes ?", + "Output Program": [ + "n0 = 660.0\n\nanswer = n0 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "a is twice as good a workman as b and they took 9 days together to do the work b alone can do it in ?", + "Output Program": [ + "n0 = 9.0\nt0 = 1.0 + 2.0\nt1 = n0 * t0\nt2 = t1 / 2.0\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "if 2 is the remainder when m is divided by 5 , what is the remainder when 3 m is divided by 5 ?", + "Output Program": [ + "n0 = 2.0\nn1 = 5.0\nn2 = 3.0\nn3 = 5.0\n\nanswer = n1 % n0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "a man can row downstream at 18 kmph and upstream at 6 kmph . find the speed of the man in still water and the speed of stream respectively ?", + "Output Program": [ + "n0 = 18.0\nn1 = 6.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 45 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 45.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "450" + ], + "split": "train" + }, + { + "Input": "a little girl is numbering her collection of butterflies by placing single - digit stickers under each specimen . if the girl has 330 butterflies , how many stickers does she need ? ( the numbers are consecutive and the number of the first butterfly is 1 ) .", + "Output Program": [ + "n0 = 330.0\nn1 = 1.0\nt0 = 3.0 * 3.0\nt1 = n0 - 100.0\nt2 = t1 + 1.0\nt3 = t0 * 10.0\nt4 = t3 * 2.0\nt5 = t2 * 3.0\nt6 = t0 + t4\nanswer = t6 + t5\nprint(answer)" + ], + "Output Answer": [ + "882" + ], + "split": "train" + }, + { + "Input": "each day a man meets his wife at the train station after work , and then she drives him home . she always arrives exactly on time to pick him up . one day he catches an earlier train and arrives at the station an hour early . he immediately begins walking home along the same route the wife drives . eventually his wife sees him on her way to the station and drives him the rest of the way home . when they arrive home the man notices that they arrived 10 minutes earlier than usual . how much time did the man spend walking ?", + "Output Program": [ + "n0 = 10.0\nt0 = n0 / 2.0\nanswer = 60.0 - t0\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "train" + }, + { + "Input": "in what time will a railway train 75 m long moving at the rate of 50 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 75.0\nn1 = 50.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "5.399568034557236" + ], + "split": "train" + }, + { + "Input": "priya takes a trip and drives 5 hours from town x to town z at a rate of 50 miles per hour . on her way back , priya drives 60 miles per hour and stops in town y which is midway between town x and town z . how many hours does it take scott to drive from town z to town y ?", + "Output Program": [ + "n0 = 5.0\nn1 = 50.0\nn2 = 60.0\nt0 = n0 * n1\nt1 = t0 / 2.0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "2.0833333333333335" + ], + "split": "train" + }, + { + "Input": "a family travelled for 12 hours . they covered the first half of the distance at 35 kmph and remaining half of the distance at 40 kmph . find the distance travelled by the family ?", + "Output Program": [ + "n0 = 12.0\nn1 = 35.0\nn2 = 40.0\nt0 = n1 * 2.0\nt1 = n2 * 2.0\nt2 = t0 * t1\nt3 = t1 * 1.0\nt4 = t0 * 1.0\nt5 = t3 - t4\nanswer = t2 / t5\nprint(answer)" + ], + "Output Answer": [ + "560" + ], + "split": "train" + }, + { + "Input": "a 140 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?", + "Output Program": [ + "n0 = 140.0\nn1 = 2.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a tree is 12 m tall and casts an an 8 m long shadow . at the same time , a flag pole caste a 100 m long shadow . how long is the flag pole ?", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 100.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 6 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a certain car uses 12 gallons of gasoline in traveling 420 miles . in order for the car to travel the same distance using 10 gallons of gasoline , by how many miles per gallon must the car \u2019 s gas mileage be increased ?", + "Output Program": [ + "n0 = 12.0\nn1 = 420.0\nn2 = 10.0\nt0 = n1 / n2\nt1 = n1 / n0\nanswer = t0 - t1\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a , b and c can do a piece of work in 7 days , 14 days and 28 days respectively . how long will they taken , if all the three work together ?", + "Output Program": [ + "n0 = 7.0\nn1 = 14.0\nn2 = 28.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "mary passed a certain gas station on a highway while traveling west at a constant speed of 50 miles per hour . then , 15 minutes later , paul passed the same gas station while traveling west at a constant speed of 80 miles per hour . if both drivers maintained their speeds and both remained on the highway for at least 2 hours , how long after he passed the gas station did paul catch up with mary ?", + "Output Program": [ + "n0 = 50.0\nn1 = 15.0\nn2 = 80.0\nn3 = 2.0\nt0 = n1 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a 14 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?", + "Output Program": [ + "n0 = 14.0\nn1 = 2.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "water is poured into a tank so that the tank is being filled at the rate of 5 cubic feet per hour . if the empty rectangular tank is 10 feet long , 6 feet wide , and 5 feet deep , approximately how many hours does it take to fill the tank ?", + "Output Program": [ + "n0 = 5.0\nn1 = 10.0\nn2 = 6.0\nn3 = 5.0\nt0 = n0 * n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 13 km / hr in still water . if the speed of the stream is 6 km / hr , find the time taken by the boat to go 69 km downstream .", + "Output Program": [ + "n0 = 13.0\nn1 = 6.0\nn2 = 69.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.6315789473684212" + ], + "split": "train" + }, + { + "Input": "what is the greatest of 3 consecutive integers whose sum is 18 ?", + "Output Program": [ + "n0 = 3.0\nn1 = 18.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "what is the distance covered by a train if it travels with a speed of 150 kmh for 8 hours ?", + "Output Program": [ + "n0 = 150.0\nn1 = 8.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "1200" + ], + "split": "train" + }, + { + "Input": "a company produces 65000 bottles of water everyday . if a case can hold 13 bottles of water . how many cases are required by the company to hold its one day production", + "Output Program": [ + "n0 = 65000.0\nn1 = 13.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "5000" + ], + "split": "train" + }, + { + "Input": "a , b , c together can earn $ 600 per day . while a and c together earn $ 400 and b and c together can earn $ 300 . the daily earnings of c ?", + "Output Program": [ + "n0 = 600.0\nn1 = 400.0\nn2 = 300.0\nt0 = n0 - n1\nanswer = n2 - t0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 3 days of 5 hours each and b alone can do it in 5 days of 3 hours each . how long will they take it to do working together 3 / 4 hours a day ?", + "Output Program": [ + "n0 = 3.0\nn1 = 5.0\nn2 = 5.0\nn3 = 3.0\nn4 = 3.0\nn5 = 4.0\nt0 = n0 / n5\nt1 = n0 * n1\nt2 = 1.0 / t1\nt3 = t2 + t2\nt4 = 1.0 / t3\nanswer = t4 / t0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 40 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 40.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "366.66666666666674" + ], + "split": "train" + }, + { + "Input": "how long will it take a train travelling at 98 kmph to pass an electric pole if the train is 140 m long", + "Output Program": [ + "n0 = 98.0\nn1 = 140.0\nt0 = n1 / 1000.0\nt1 = t0 / n0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "5.142857142857143" + ], + "split": "train" + }, + { + "Input": "a train can travel 50 % faster than a car . both start from point a at the same time and reach point b 75 kms away from a at the same time . on the way , however , the train lost about 12.5 minutes while stopping at the stations . the speed of the car is :", + "Output Program": [ + "n0 = 50.0\nn1 = 75.0\nn2 = 12.5\nt0 = 1.0 + 4.0\nt1 = n2 * 2.0\nt2 = t1 - 1.0\nt3 = t1 * t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 12 kilometers per hour . the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate . how many minutes must the cyclist wait until the hiker catches up ?", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nn2 = 5.0\nt0 = n2 / 60.0\nt1 = n1 * t0\nt2 = n0 * t0\nt3 = t1 - t2\nt4 = t3 / n0\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "10.000000000000002" + ], + "split": "train" + }, + { + "Input": "in what time will a train 60 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 60.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "1.4998800095992322" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 240 m in length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 60.0\nn2 = 240.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "20.99832013438925" + ], + "split": "train" + }, + { + "Input": "it takes 40 identical printing presses 12 hours to print 500,000 papers . how many hours would it take 30 of these printing presses to print 500,000 papers ?", + "Output Program": [ + "n0 = 40.0\nn1 = 12.0\nn2 = 500000.0\nn3 = 30.0\nn4 = 500000.0\nt0 = 1000.0 / 2.0\nt1 = t0 * 1000.0\nt2 = t1 / n0\nt3 = t2 / n1\nt4 = n3 * t3\nanswer = t1 / t4\nprint(answer)" + ], + "Output Answer": [ + "15.999999999999998" + ], + "split": "train" + }, + { + "Input": "a cistern which could be filled in 4 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ?", + "Output Program": [ + "n0 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / 10.0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.666666666666667" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 30 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 250.0\nn2 = 30.0\nt0 = n0 * 0.2778\nt1 = n1 / t0\nt2 = n2 - t1\nanswer = t0 * t2\nprint(answer)" + ], + "Output Answer": [ + "350.048" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 6 km / hr . if he rows downstream , where the speed of current is 3 km / hr , how many seconds will he take to cover 80 meters ?", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nn2 = 80.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "31.99744020478362" + ], + "split": "train" + }, + { + "Input": "a contractor undertakes to do a job within 100 days and hires 10 people to do it . after 20 days , he realizes that one fourth of the work is done so he fires 2 people . in how many more days q will the work get over ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 20.0\nn3 = 2.0\nt0 = n1 * n2\nt1 = 1.0 - 0.25\nt2 = n1 - n3\nt3 = t0 / 0.25\nt4 = t3 * t1\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "a train speeds past a pole in 11 seconds and a platform 120 m long in 22 seconds . its length is ?", + "Output Program": [ + "n0 = 11.0\nn1 = 120.0\nn2 = 22.0\nt0 = 2.0 - 1.0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "a carpenter worked alone for 1 day on a job that would take him 7 more days to finish . he and another carpenter completed the job in 4 more days . how many days would it have taken the second carpenter to do the complete job working alone ?", + "Output Program": [ + "n0 = 1.0\nn1 = 7.0\nn2 = 4.0\nt0 = n0 + n1\nt1 = n2 * t0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a alone can do a piece of work in 6 days and b alone in 8 days . a and b undertook to do it for rs . 3600 . with the help of c , they completed the work in 3 days . how much is to be paid to c ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 3600.0\nn3 = 3.0\nt0 = 1 / n3\nt1 = 1 / n1\nt2 = 1 / n0\nt3 = t1 + t2\nt4 = t0 - t3\nt5 = n2 * t4\nanswer = n3 * t5\nprint(answer)" + ], + "Output Answer": [ + "450.00000000000017" + ], + "split": "train" + }, + { + "Input": "there is a clock which shows false timing ie it shows 10 minutes less for each 1 hour . . . . if the clock shows 12 noon now how many minutes will be lost when it shows 3 pm ?", + "Output Program": [ + "n0 = 10.0\nn1 = 1.0\nn2 = 12.0\nn3 = 3.0\nt0 = n3 * 60.0\nt1 = 60.0 - n0\nt2 = t0 / t1\nt3 = t2 - n3\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "36.00000000000001" + ], + "split": "train" + }, + { + "Input": "a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 18 seconds . what is the length of the train in meters ?", + "Output Program": [ + "n0 = 100.0\nn1 = 64.0\nn2 = 18.0\nt0 = n0 - n1\nt1 = t0 * 0.2778\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "180.0144" + ], + "split": "train" + }, + { + "Input": "a monkey start climbing up a tree 21 ft tall . each hour it hops 3 ft and slips back 2 ft . how much time would it take the monkey to reach the top .", + "Output Program": [ + "n0 = 21.0\nn1 = 3.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = n0 / t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "the distance from city a to city b is 180 miles . while driving from city a to city b , cara drives at a constant speed of 30 miles per hour . dan leaves city a 120 minutes after cara . what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ?", + "Output Program": [ + "n0 = 180.0\nn1 = 30.0\nn2 = 120.0\nt0 = n0 / n1\nt1 = n2 / 60.0\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 140 m long and traveling at 45 km / hr can cross in 30 sec is ?", + "Output Program": [ + "n0 = 140.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "235" + ], + "split": "train" + }, + { + "Input": "a 8000 liter tank , half - full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes . at the same time , the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes . how many minutes does it take to fill the tank completely ?", + "Output Program": [ + "n0 = 8000.0\nn1 = 1.0\nn2 = 2.0\nn3 = 1.0\nn4 = 4.0\nn5 = 6.0\nt0 = n4 + n5\nt1 = n0 / n2\nt2 = n2 + t0\nt3 = t2 * t1\nanswer = t3 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "the perimeter of a semi circle is 108 cm then the radius is ?", + "Output Program": [ + "n0 = 108.0\nt0 = 2.0 + 3.141592653589793\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "21.005164601010506" + ], + "split": "train" + }, + { + "Input": "in a shower , 5 cm of rain falls . the volume of water that falls on 1.5 hectares of ground is :", + "Output Program": [ + "n0 = 5.0\nn1 = 1.5\nt0 = n0 / 100.0\nt1 = n1 * 1000.0\nt2 = t1 * 10.0\nanswer = t0 * t2\nprint(answer)" + ], + "Output Answer": [ + "750" + ], + "split": "train" + }, + { + "Input": "a car takes 6 hours to cover a distance of 720 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 720.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "the consumption of diesel per hour of a bus varies directly as square of its speed . when the bus is travelling at 50 kmph its consumption is 1 litre per hour . if each litre costs $ 50 and other expenses per hous is $ 50 , then what would be the minimum expenditure required to cover a distance of 500 km ?", + "Output Program": [ + "n0 = 50.0\nn1 = 1.0\nn2 = 50.0\nn3 = 50.0\nn4 = 500.0\nt0 = n4 / n0\nt1 = n2 * t0\nt2 = n3 * t0\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "1000" + ], + "split": "train" + }, + { + "Input": "a , b and c completed a piece of work , a worked for 6 days , b for 9 days and c for 4 days . their daily wages were in the ratio of 3 : 4 : 5 . find the daily wages of c , if their total earning was rs . 1480 ?", + "Output Program": [ + "n0 = 6.0\nn1 = 9.0\nn2 = 4.0\nn3 = 3.0\nn4 = 4.0\nn5 = 5.0\nn6 = 1480.0\nt0 = n0 * n3\nt1 = n1 * n2\nt2 = n2 * n5\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = n6 / t4\nanswer = n5 * t5\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a car covers a distance of 624 km in 2 3 / 5 hours . find its speed ?", + "Output Program": [ + "n0 = 624.0\nn1 = 2.0\nn2 = 3.0\nn3 = 5.0\nt0 = n2 / n3\nt1 = n1 + t0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "maxwell leaves his home and walks toward brad ' s house . one hour later , brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 74 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the total time it takes maxwell before he meets up with brad ?", + "Output Program": [ + "n0 = 74.0\nn1 = 4.0\nn2 = 6.0\nt0 = n0 + n2\nt1 = n1 + n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a runs twice as fast as b and gives b a start of 50 m . how long should the racecourse be so that a and b might reach in the same time ?", + "Output Program": [ + "n0 = 50.0\n\nanswer = n0 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "an aeroplane covers a certain distance of 450 kmph in 4 hours . to cover the same distance in 3 2 / 3 hours , it must travel at a speed of", + "Output Program": [ + "n0 = 450.0\nn1 = 4.0\nn2 = 3.0\nn3 = 2.0\nn4 = 3.0\nt0 = n0 * n1\nt1 = n2 * n4\nt2 = n3 + t1\nt3 = t2 / n4\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "490.90909090909093" + ], + "split": "train" + }, + { + "Input": "a cistern 8 m long and 6 m wide contains water up to a breadth of 1 m 85 cm . find the total area of the wet surface .", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 1.0\nn3 = 85.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "99.80000000000001" + ], + "split": "train" + }, + { + "Input": "if a takes x days to do a work then b takes 2 x days to do the same work then with in how many day ' s a will alone complete this work ?", + "Output Program": [ + "n0 = 2.0\nt0 = n0 * 2.0\nt1 = 3.0 * 3.0\nt2 = t1 + t0\nt3 = t1 * t0\nt4 = t3 - t2\nanswer = t0 + t4\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "some persons can do a piece of work in 20 days . two times the number of these people will do half of that work in ?", + "Output Program": [ + "n0 = 20.0\nt0 = 1.0 / 2.0\nt1 = n0 * t0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 33 ft long . what is the distance traveled by the cart , when the front wheel has done five more revolutions than the rear wheel ?", + "Output Program": [ + "n0 = 30.0\nn1 = 33.0\nt0 = 10.0 / 2.0\nt1 = n0 * t0\nt2 = t1 / 3.0\nt3 = t2 + t0\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "1650" + ], + "split": "train" + }, + { + "Input": "how many 4 digit numbers are there , if it is known that the first digit is even , the second is odd , the third is prime , the fourth ( units digit ) is divisible by 3 , and the digit 2 can be used only once ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nn2 = 2.0\nt0 = n0 + 1.0\nt1 = n0 * n0\nt2 = t0 * t0\nt3 = t2 * t1\nt4 = t2 * n0\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "in one hour , a boat goes 9 km along the stream and 5 km against the stream . the speed of the boat in still water ( in km / hr ) is :", + "Output Program": [ + "n0 = 9.0\nn1 = 5.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a 70 cm long wire is to be cut into two pieces so that one piece will be 2 / 3 th of the other , how many centimeters will the shorter piece be ?", + "Output Program": [ + "n0 = 70.0\nn1 = 2.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "27.999999999999993" + ], + "split": "train" + }, + { + "Input": "pipe a and pipe b fill water into a tank of capacity 2000 litres , at a rate of 200 l / min and 50 l / min . pipe c drains at a rate of 25 l / min . pipe a is open for 1 min and closed , then pipe b is open for 2 min and closed . further the pipe c is opened and drained for another 2 min . this process is repeated until the tank is filled . how long will it take to fill the tank ?", + "Output Program": [ + "n0 = 2000.0\nn1 = 200.0\nn2 = 50.0\nn3 = 25.0\nn4 = 1.0\nn5 = 2.0\nn6 = 2.0\nt0 = n4 + n5\nt1 = n2 * n5\nt2 = n3 * n5\nt3 = n5 + t0\nt4 = n1 + t1\nt5 = t4 - t2\nt6 = n0 / t5\nanswer = t3 * t6\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a can finish a piece of work in 5 days . b can do it in 16 days . they work together for two days and then a goes away . in how many days will b finish the work ?", + "Output Program": [ + "n0 = 5.0\nn1 = 16.0\nt0 = 1.0 / 4.0\nt1 = 1.0 / n1\nt2 = t0 * 2.0\nt3 = t1 * 2.0\nt4 = t2 + t3\nt5 = 1.0 - t4\nanswer = t5 / t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "in a lake , there is a patch of lily pads . every day , the patch doubles in size . if it takes 48 days for the patch to cover the entire lake , how long would it take for the patch to cover half of the lake ?", + "Output Program": [ + "n0 = 48.0\n\nanswer = n0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "47" + ], + "split": "train" + }, + { + "Input": "a train 100 m in length crosses a telegraph post in 12 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 12.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "30.000000000000004" + ], + "split": "train" + }, + { + "Input": "a , b , c can complete a piece of work in 16 , 6,12 days . working together , they complete the same work in how many days ?", + "Output Program": [ + "n0 = 16.0\nn1 = 6.0\nn2 = 12.0\nt0 = 2.0 + 4.0\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t0 * 2.0\nt4 = t1 + t2\nt5 = 1.0 / t3\nt6 = t4 + t5\nanswer = 1.0 / t6\nprint(answer)" + ], + "Output Answer": [ + "3.2" + ], + "split": "train" + }, + { + "Input": "to asphalt 1 km road , 30 men spent 12 days working 8 hours per day . how many days , 20 men will spend to asphalt a road of 2 km working 15 hours a day ?", + "Output Program": [ + "n0 = 1.0\nn1 = 30.0\nn2 = 12.0\nn3 = 8.0\nn4 = 20.0\nn5 = 2.0\nn6 = 15.0\nt0 = n1 * n2\nt1 = n4 * n6\nt2 = n3 * t0\nt3 = n5 * t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "19.2" + ], + "split": "train" + }, + { + "Input": "two water pumps , working simultaneously at their respective constant rates , took exactly 5 hours to fill a certain swimming pool . if the constant rate of one pump was 1.5 times the constant rate of the other , how many hours would it have taken the slower pump to fill the pool if it had worked alone at its constant rate ?", + "Output Program": [ + "n0 = 5.0\nn1 = 1.5\nt0 = n1 + 1.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "12.5" + ], + "split": "train" + }, + { + "Input": "a 270 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds . what is the lenght of other train .", + "Output Program": [ + "n0 = 270.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "230.03999999999996" + ], + "split": "train" + }, + { + "Input": "how long does a lorry 200 m long traveling at 80 kmph takes to cross a bridge of 200 m in length ?", + "Output Program": [ + "n0 = 200.0\nn1 = 80.0\nn2 = 200.0\nt0 = n0 + n0\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190784" + ], + "split": "train" + }, + { + "Input": "a person can row at 10 kmph in still water . if the velocity of the current is 2 kmph and it takes him 30 hour to row to a place and come back , how far is the place ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 30.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n2 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "144" + ], + "split": "train" + }, + { + "Input": "mike drives his new corvette from san francisco to las vegas , a journey of 640 miles . he drives the first half of the trip at an average rate of 80 miles per hour , but has to slow down for the second half of his journey . if the second half of the trip takes him 200 percent longer than the first half , what is his average rate q in miles per hour for the entire trip ?", + "Output Program": [ + "n0 = 640.0\nn1 = 80.0\nn2 = 200.0\nt0 = n0 / 2.0\nt1 = t0 / n1\nt2 = t1 * 2.0\nt3 = t1 + t2\nt4 = t3 + t1\nanswer = n0 / t4\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "to asphalt 1 km road , 30 men spent 12 days working 8 hours per day . how many days , 20 men will spend to asphalt a road of 2 km working 14 hours a day ?", + "Output Program": [ + "n0 = 1.0\nn1 = 30.0\nn2 = 12.0\nn3 = 8.0\nn4 = 20.0\nn5 = 2.0\nn6 = 14.0\nt0 = n1 * n2\nt1 = n4 * n6\nt2 = n3 * t0\nt3 = n5 * t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "20.571428571428573" + ], + "split": "train" + }, + { + "Input": "in a garden , 26 trees are planted at equal distances along a yard 600 metres long , one tree being at each end of the yard . what is the distance between two consecutive trees ?", + "Output Program": [ + "n0 = 26.0\nn1 = 600.0\nt0 = n0 - 1.0\nanswer = n1 / t0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "on a wedding catering service , an experienced chef can prepare a service for a wedding in 6 hours while an novice chef would finish the preparations in 7 hours . if the catering service employs the same number of novice and experienced chefs , then how many chefs would it take to prepare a wedding service in 1 hour and 36 minutes ?", + "Output Program": [ + "import math\nn0 = 6.0\nn1 = 7.0\nn2 = 1.0\nn3 = 36.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = n3 / 60.0\nt3 = t0 + t1\nt4 = n2 + t2\nt5 = t3 * t4\nt6 = 2.0 / t5\nanswer = math.floor(t6)\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a 150 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", + "Output Program": [ + "n0 = 150.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "350.03999999999996" + ], + "split": "train" + }, + { + "Input": "two cyclist start from the same places in opposite directions . one is going towards north at 5 kmph and the other is going towards south 5 kmph . what time will they take to be 50 km apart ?", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 50.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a hall 36 m long and 15 m broad is to be paved with stones , each measuring 3 dm by 5 dm . the number of stones required is :", + "Output Program": [ + "n0 = 36.0\nn1 = 15.0\nn2 = 3.0\nn3 = 5.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t1 / 100.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "3600" + ], + "split": "train" + }, + { + "Input": "the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 330 the other is", + "Output Program": [ + "n0 = 2310.0\nn1 = 30.0\nn2 = 330.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "210" + ], + "split": "train" + }, + { + "Input": "speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph . a man rows to place at a distance of 105 km and comes back to the starting point . the total time taken by him is :", + "Output Program": [ + "n0 = 9.0\nn1 = 1.5\nn2 = 105.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 110 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 110.0\nn1 = 150.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "25.997920166386688" + ], + "split": "train" + }, + { + "Input": "three pipes of same capacity can fill a tank in 12 hours . if there are only two pipes of same capacity , the tank can be filled in ?", + "Output Program": [ + "n0 = 12.0\nt0 = 2.0 / 3.0\nt1 = 1.0 / n0\nt2 = t0 * t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a train crosses a platform of 110 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ?", + "Output Program": [ + "n0 = 110.0\nn1 = 15.0\nn2 = 250.0\nn3 = 20.0\nt0 = n1 / 3.0\nt1 = n1 / t0\nt2 = n3 / t0\nt3 = n2 * t1\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "310" + ], + "split": "train" + }, + { + "Input": "a cistern 7 m long and 5 m wide contains water up to a breadth of 1 m 40 cm . find the total area of the wet surface .", + "Output Program": [ + "n0 = 7.0\nn1 = 5.0\nn2 = 1.0\nn3 = 40.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "68.6" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is traveling at 45 kmph observes that a goods train , traveling in opposite direction , takes 8 seconds to pass him . if the goods train is 340 m long , find its speed", + "Output Program": [ + "n0 = 45.0\nn1 = 8.0\nn2 = 340.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "108" + ], + "split": "train" + }, + { + "Input": "a 360 meter long train crosses a man standing on the platform in 6 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 360.0\nn1 = 6.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "216" + ], + "split": "train" + }, + { + "Input": "a train is 310 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 310.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a 49 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?", + "Output Program": [ + "n0 = 49.0\nn1 = 2.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "how many cuboids of length 5 m , width 6 m and height 3 m can be farmed from a cuboid of 18 m length , 15 m width and 2 m height .", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 3.0\nn3 = 18.0\nn4 = 15.0\nn5 = 2.0\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = n5 * t0\nt3 = n2 * t1\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "if two girls starting from same point , walking in the opposite directions with 5 km / hr and 10 km / hr as average speeds respectively . then the distance between them after 5 hours is ?", + "Output Program": [ + "n0 = 5.0\nn1 = 10.0\nn2 = 5.0\nt0 = n0 + n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 60 questions and secures 140 marks , the no of questions he attempts correctly is :", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 60.0\nn3 = 140.0\nt0 = n2 + n3\nt1 = n0 + n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "p and q can complete a work in 20 days and 12 days respectively . p alone started the work and q joined him after 4 days till the completion of the work . how long did the work last ?", + "Output Program": [ + "n0 = 20.0\nn1 = 12.0\nn2 = 4.0\nt0 = n2 / n0\nt1 = 1 / n0\nt2 = 1 / n1\nt3 = t1 + t2\nt4 = 1.0 - t0\nt5 = t4 / t3\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "if in one hour , a canoe rows at 16 km / hr downstream and 9 km / hr upstream , calculate the speed of a boat in still water ( in km / hr ) .", + "Output Program": [ + "n0 = 16.0\nn1 = 9.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "12.5" + ], + "split": "train" + }, + { + "Input": "a rectangular lawn 55 m by 35 m has two roads each 4 m wide running in the middle of it . one parallel to the length and the other parallel to breadth . the cost of graveling the roads at 75 paise per sq meter is ?", + "Output Program": [ + "n0 = 55.0\nn1 = 35.0\nn2 = 4.0\nn3 = 75.0\nt0 = n0 + n1\nt1 = t0 - n2\nt2 = t1 * n2\nt3 = n3 * t2\nanswer = t3 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "258" + ], + "split": "train" + }, + { + "Input": "two friends decide to get together ; so they start riding bikes towards each other . they plan to meet halfway . each is riding at 6 mph . they live 36 miles apart . one of them has a pet carrier pigeon and it starts flying the instant the friends start traveling . the pigeon flies back and forth at 18 mph between the 2 friends until the friends meet . how many miles does the pigeon travel ?", + "Output Program": [ + "n0 = 6.0\nn1 = 36.0\nn2 = 18.0\nn3 = 2.0\nt0 = n1 / n3\nt1 = t0 / n0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "a field is 90 metre long and 50 metre broad . a 25 metre long , 20 metre broad and 4 metre deep tank dug in the field and the earth taken out is spread evenly over the remaining field . how much the level of field will rise ?", + "Output Program": [ + "n0 = 90.0\nn1 = 50.0\nn2 = 25.0\nn3 = 20.0\nn4 = 4.0\nt0 = n2 * n3\nt1 = n0 * n1\nt2 = n4 * t0\nt3 = t1 - t0\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "annika hikes at a constant rate of 12 minutes per kilometer . she has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 51 minutes . if annika continues east , then turns around and retraces her path to reach the start of the trail in exactly 51 minutes , for how many kilometers total did she hike east ?", + "Output Program": [ + "n0 = 12.0\nn1 = 2.75\nn2 = 51.0\nn3 = 51.0\nt0 = n2 / n0\nt1 = t0 - n1\nt2 = t1 / 2.0\nanswer = n1 + t2\nprint(answer)" + ], + "Output Answer": [ + "3.5" + ], + "split": "train" + }, + { + "Input": "a certain hospital has a policy that for every 50 patients there should be 2 doctors . if the number of patients visiting the hospital every day is 400 , how many doctors are there in the hospital ?", + "Output Program": [ + "n0 = 50.0\nn1 = 2.0\nn2 = 400.0\nt0 = n2 / n0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a cistern 4 m long and 8 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :", + "Output Program": [ + "n0 = 4.0\nn1 = 8.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "train" + }, + { + "Input": "a 180 meter long train crosses a man standing on the platform in 9 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 180.0\nn1 = 9.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "a train 200 m long running at 54 kmph crosses a platform in 25 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 200.0\nn1 = 54.0\nn2 = 25.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "175.02999999999997" + ], + "split": "train" + }, + { + "Input": "a bus covered a distance of 250 km , partly at an average speed of 40 kmph and partly at 60 kmph . if the total time taken is 5.4 hours , then the distance covered at 40 kmph is", + "Output Program": [ + "n0 = 250.0\nn1 = 40.0\nn2 = 60.0\nn3 = 5.4\nn4 = 40.0\nt0 = n2 * n3\nt1 = n1 - n2\nt2 = -t1\nt3 = t0 - n0\nt4 = t3 / t2\nanswer = n1 * t4\nprint(answer)" + ], + "Output Answer": [ + "148" + ], + "split": "train" + }, + { + "Input": "a train speeds past a pole in 20 seconds and passes through a tunnel 500 m long in 40 seconds . its length is :", + "Output Program": [ + "n0 = 20.0\nn1 = 500.0\nn2 = 40.0\nt0 = 2.0 - 1.0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "a can finish a work in 4 days and b can do same work in half the time taken by a . then working together , what part of same work they can finish in a day ?", + "Output Program": [ + "n0 = 4.0\nt0 = 1.0 / n0\nt1 = t0 * 2.0\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "0.75" + ], + "split": "train" + }, + { + "Input": "find avrg speed if a man travels at speed of 18 km / hr up and 24 km / hr dawn at an altitude of 300 m .", + "Output Program": [ + "n0 = 18.0\nn1 = 24.0\nn2 = 300.0\nt0 = n0 + n1\nt1 = n0 * 2.0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "20.571428571428573" + ], + "split": "train" + }, + { + "Input": "a cistern which could be filled in 6 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ?", + "Output Program": [ + "n0 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / 10.0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "15.000000000000004" + ], + "split": "train" + }, + { + "Input": "a man covered a certain distance at some speed . if he had moved 3 kmph faster , he would have taken 40 minutes less . if he had moved 2 kmph slower , he would have taken 40 minutes more . what is the distance in km ?", + "Output Program": [ + "n0 = 3.0\nn1 = 40.0\nn2 = 2.0\nn3 = 40.0\nt0 = n1 / 60.0\nt1 = n0 - n2\nt2 = n2 * t0\nt3 = n0 * t0\nt4 = t2 + t3\nt5 = t4 / t1\nt6 = n2 * t5\nt7 = t6 + t2\nt8 = t7 / t0\nanswer = t8 * t5\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a 100 meter long train crosses a man standing on the platform in 5 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 100.0\nn1 = 5.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "find the cost of carpeting a room 13 m long and 9 m broad with a carpet 75 cm wide at the rate of rs . 12 per square metre .", + "Output Program": [ + "n0 = 13.0\nn1 = 9.0\nn2 = 75.0\nn3 = 12.0\nt0 = n0 * n3\nanswer = n3 * t0\nprint(answer)" + ], + "Output Answer": [ + "1872" + ], + "split": "train" + }, + { + "Input": "express a speed of 54 kmph in meters per second ?", + "Output Program": [ + "n0 = 54.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "15.001199999999999" + ], + "split": "train" + }, + { + "Input": "a worker makes a toy in every 2 h . if he works for 80 h , then how many toys will he make ?", + "Output Program": [ + "n0 = 2.0\nn1 = 80.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a pump can fill a tank with water in 2 hours . because of a leak , it took 2 x 1 / 3 hours to fill the tank . the leak can drain all the water of the tank in", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 1.0\nn3 = 3.0\nt0 = n2 / n0\nt1 = n0 * n3\nt2 = n2 + t1\nt3 = t2 / n3\nt4 = 1 / t3\nt5 = t0 - t4\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "13.999999999999995" + ], + "split": "train" + }, + { + "Input": "walking at the rate of 4 kmph a man cover certain distance in 2 hr 45 min . running at a speed of 16.5 kmph the man will cover the same distance in .", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 45.0\nn3 = 16.5\nt0 = n2 / 60.0\nt1 = n1 + t0\nt2 = n0 * t1\nt3 = t2 / n3\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "three pipes , a , b , & c are attached to a tank . a & b can fill it in 20 & 30 minutes respectively while c can empty it in 15 minutes . if a , b & c are kept open successively for 1 minute each , how soon will the tank be filled ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 15.0\nn3 = 1.0\nt0 = n3 + n3\nanswer = n3 + t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "mike drives his new corvette from san francisco to las vegas , a journey of 640 miles . he drives the first half of the trip at an average rate of 80 miles per hour , but has to slow down for the second half of his journey . if the second half of the trip takes him 200 percent longer than the first half , what is his average rate j in miles per hour for the entire trip ?", + "Output Program": [ + "n0 = 640.0\nn1 = 80.0\nn2 = 200.0\nt0 = n0 / 2.0\nt1 = t0 / n1\nt2 = t1 * 2.0\nt3 = t1 + t2\nt4 = t3 + t1\nanswer = n0 / t4\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "two numbers n and 14 have lcm = 56 and gcf = 12 . find n .", + "Output Program": [ + "n0 = 14.0\nn1 = 56.0\nn2 = 12.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "express a speed of 414 kmph in meters per second ?", + "Output Program": [ + "n0 = 414.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "115.00919999999999" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 6.8 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 6.8\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "34.962830044410595" + ], + "split": "train" + }, + { + "Input": "the time it took car p to travel 800 miles was 2 hours less than the time it took car r to travel the same distance . if car p \u2019 s average speed was 10 miles per hour greater than that of car r , what was car r \u2019 s average speed , in miles per hour ?", + "Output Program": [ + "import math\nn0 = 800.0\nn1 = 2.0\nn2 = 10.0\nt0 = n0 * n2\nt1 = -n2\nt2 = t0 / n1\nt3 = t1**min(n1, 5)\nt4 = -t2\nt5 = t4 * 4.0\nt6 = t3 - t5\nt7 = math.sqrt(max(0, t6))\nt8 = t1 + t7\nanswer = t8 / n1\nprint(answer)" + ], + "Output Answer": [ + "58.4428877022476" + ], + "split": "train" + }, + { + "Input": "a man can do a piece of work in 5 days , but with the help of his son , he can do it in 4 days . in what time can the son do it alone ?", + "Output Program": [ + "n0 = 5.0\nn1 = 4.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 27 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 27.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "450.00000000000006" + ], + "split": "train" + }, + { + "Input": "a work which could be finished in 8 days was finished 3 days earlier after 10 more men joined . the number of men employed was ?", + "Output Program": [ + "n0 = 8.0\nn1 = 3.0\nn2 = 10.0\nt0 = n1 * 2.0\nt1 = n2 * t0\nt2 = n0 - t0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a copy machine , working at a constant rate , makes 40 copies per minute . a second copy machine , working at a constant rate , makes 55 copies per minute . working together at their respective rates , how many copies do the two machines make in half an hour ?", + "Output Program": [ + "n0 = 40.0\nn1 = 55.0\nt0 = n0 + n1\nt1 = t0 * 60.0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2850" + ], + "split": "train" + }, + { + "Input": "a train 630 m long , running with a speed of 63 km / hr will pass a tree in ?", + "Output Program": [ + "n0 = 630.0\nn1 = 63.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a train covers a distance in 50 min , if it runs at a speed of 48 kmph on an average . the speed at which the train must run to reduce the time of journey to 40 min will be", + "Output Program": [ + "n0 = 50.0\nn1 = 48.0\nn2 = 40.0\nt0 = n0 / 60.0\nt1 = n2 / 60.0\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "the sum of 4 consecutive numbers is 102 . the greatest among these 3 number is :", + "Output Program": [ + "n0 = 4.0\nn1 = 102.0\nn2 = 3.0\nt0 = 1.0 + 2.0\nt1 = n2 + t0\nt2 = n1 - t1\nt3 = t2 / n0\nanswer = n2 + t3\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "mike drives his new corvette from san francisco to las vegas , a journey of 640 miles . he drives the first half of the trip at an average rate of 80 miles per hour , but has to slow down for the second half of his journey . if the second half of the trip takes him 200 percent longer than the first half , what is his average rate z in miles per hour for the entire trip ?", + "Output Program": [ + "n0 = 640.0\nn1 = 80.0\nn2 = 200.0\nt0 = n0 / 2.0\nt1 = t0 / n1\nt2 = t1 * 2.0\nt3 = t1 + t2\nt4 = t3 + t1\nanswer = n0 / t4\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1.50 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?", + "Output Program": [ + "import math\nn0 = 3136.0\nn1 = 3.0\nn2 = 1.5\nn3 = 1.0\nt0 = 1.0 * 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 * 4.0\nt3 = t2 - t0\nt4 = n2 * t3\nanswer = t4 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "999" + ], + "split": "train" + }, + { + "Input": "working alone , tom finishes cleaning half the house in a third of the time it takes nick to clean the entire house alone . tom alone cleans the entire house in 6 hours . how many hours will it take nick and tom to clean the entire house if they work together ?", + "Output Program": [ + "n0 = 6.0\nt0 = 2.0 + 3.0\nt1 = n0 * 3.0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.6" + ], + "split": "train" + }, + { + "Input": "90 litres of diesel is required to travel 600 km using a 800 cc engine . if the volume of diesel required to cover a distance varies directly as the capacity of the engine , then how many litres of diesel is required to travel 800 km using 1200 cc engine ?", + "Output Program": [ + "n0 = 90.0\nn1 = 600.0\nn2 = 800.0\nn3 = 800.0\nn4 = 1200.0\nt0 = n1 * n2\nt1 = n0 / t0\nt2 = n2 * t1\nanswer = n4 * t2\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "a 470 m long train is running at a speed of 55 km / hr . it crossed a platform of length 520 m in ?", + "Output Program": [ + "n0 = 470.0\nn1 = 55.0\nn2 = 520.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "64.79481641468682" + ], + "split": "train" + }, + { + "Input": "jamshid can paint a fence in 50 percent less time than taimour can when each works alone . when they work together , they can paint the fence in 3 hours . how long would it take taimour to paint the fence alone ?", + "Output Program": [ + "n0 = 50.0\nn1 = 3.0\n\nanswer = n1 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "the hiker walking at a constant rate of 7 miles per hour is passed by a cyclist traveling in the same direction along the same path at 28 miles per hour . the cyclist stops to wait for the hiker 5 minutes after passing her , while the hiker continues to walk at her constant rate , how many minutes must the cyclist wait until the hiker catches up ?", + "Output Program": [ + "n0 = 7.0\nn1 = 28.0\nn2 = 5.0\nt0 = n2 / 60.0\nt1 = n1 - n0\nt2 = t0 * t1\nt3 = t2 / n0\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "in a 500 m race , the ratio of the speeds of two contestants a and b is 3 : 4 . a has a start of 140 m . then , a wins by :", + "Output Program": [ + "n0 = 500.0\nn1 = 3.0\nn2 = 4.0\nn3 = 140.0\nt0 = n0 - n3\nt1 = n2 * t0\nt2 = t1 / n1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 18 km / hr and the rate of current is 4 km / hr . the distance travelled downstream in 14 minutes is", + "Output Program": [ + "n0 = 18.0\nn1 = 4.0\nn2 = 14.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "5.133333333333334" + ], + "split": "train" + }, + { + "Input": "in what time will a train 200 m long cross an electric pole , it its speed be 216 km / hr ?", + "Output Program": [ + "n0 = 200.0\nn1 = 216.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.3330666879982935" + ], + "split": "train" + }, + { + "Input": "jack and jill work at a hospital with 6 other workers . for an internal review , 2 of the 8 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?", + "Output Program": [ + "import math\nn0 = 6.0\nn1 = 2.0\nn2 = 8.0\nt0 = math.factorial(min(15, int(n2)))\nt1 = math.factorial(min(15, int(n1)))\nt2 = math.factorial(min(15, int(n0)))\nt3 = t1 * t2\nt4 = t0 / t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "0.03571428571428571" + ], + "split": "train" + }, + { + "Input": "if a farmer wants to plough a farm field on time , he must plough 100 hectares a day . for technical reasons he ploughed only 85 hectares a day , hence he had to plough 2 more days than he planned and he still has 40 hectares left . what is the area of the farm field and how many days the farmer planned to work initially ?", + "Output Program": [ + "n0 = 100.0\nn1 = 85.0\nn2 = 2.0\nn3 = 40.0\nt0 = n1 * n2\nt1 = n0 - n1\nt2 = n3 + t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "1400" + ], + "split": "train" + }, + { + "Input": "if a clock strikes 12 in 33 seconds , it will strike 6 in how many seconds ?", + "Output Program": [ + "n0 = 12.0\nn1 = 33.0\nn2 = 6.0\nt0 = n0 - 1.0\nt1 = n2 - 1.0\nt2 = n1 / t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "car a runs at the speed of 50 km / hr & reaches its destination in 8 hr . car b runs at the speed of 25 km / h & reaches its destination in 4 h . what is the respective ratio of distances covered by car a & car b ?", + "Output Program": [ + "n0 = 50.0\nn1 = 8.0\nn2 = 25.0\nn3 = 4.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "if 3 people a , b , c can do a work simultaneously in 6 days . a and b can do work in 10 days . b and c can do work in 15 days . c and a can do the same work in 20 days . in how many days that a can complete the same work alone ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nn2 = 10.0\nn3 = 15.0\nn4 = 20.0\nt0 = 1.0 / n2\nt1 = 1.0 / n3\nt2 = 1.0 / n4\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = t4 / 2.0\nt6 = t5 - t1\nanswer = 1.0 / t6\nprint(answer)" + ], + "Output Answer": [ + "23.999999999999996" + ], + "split": "train" + }, + { + "Input": "pipe a that can fill a tank in an hour and pipe b that can fill the tank in half an hour are opened simultaneously when the tank is empty . pipe b is shut 10 minutes before the tank overflows . when will the tank overflow ?", + "Output Program": [ + "n0 = 10.0\nt0 = 1.0 * 60.0\nt1 = t0 / 2.0\nt2 = t1 * t0\nt3 = t2 / t1\nt4 = t2 / t0\nt5 = t3 + t4\nt6 = n0 * t5\nt7 = t6 / t4\nt8 = n0 + t7\nanswer = t8 - 3.0\nprint(answer)" + ], + "Output Answer": [ + "37" + ], + "split": "train" + }, + { + "Input": "suppose 10 monkeys take 10 minutes to eat 10 bananas . how many monkeys would it take to eat 70 bananas in 70 minutes ?", + "Output Program": [ + "n0 = 10.0\nn1 = 10.0\nn2 = 10.0\nn3 = 70.0\nn4 = 70.0\nt0 = n3 / n0\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a man walks at a rate of 10 mph . after every ten miles , he rests for 5 minutes . how much time does he take to walk 50 miles ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nn2 = 50.0\nt0 = n2 / n0\nt1 = n1 * 4.0\nt2 = t0 * 60.0\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "320" + ], + "split": "train" + }, + { + "Input": "on a map , 4.5 inches represent 45 miles . how many miles approximately is the distance if you measured 254 centimeters assuming that 1 - inch is 2.54 centimeters ?", + "Output Program": [ + "n0 = 4.5\nn1 = 45.0\nn2 = 254.0\nn3 = 1.0\nn4 = 2.54\nt0 = n2 / n4\nt1 = n1 / n0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "1000" + ], + "split": "train" + }, + { + "Input": "john bought 9.25 m of cloth for $ 416.25 . find the cost price per metre .", + "Output Program": [ + "n0 = 9.25\nn1 = 416.25\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "two trains running in opposite directions cross a man standing on the platform in 20 seconds and 18 seconds respectively and they cross each other in 19 seconds . the ratio of their speeds is :", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 19.0\nt0 = n0 - n2\nt1 = n2 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "a train leaves mumabai at 9 am at a speed of 40 kmph . after one hour , another train leaves mumbai in the same direction as that of the first train at a speed of 60 kmph . when and at what distance from mumbai do the two trains meet ?", + "Output Program": [ + "n0 = 9.0\nn1 = 40.0\nn2 = 60.0\nt0 = n1 * 1.0\nt1 = n2 - n1\nt2 = t0 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "if daily wages of a man is double to that of a woman , how many men should work for 20 days to earn rs . 14400 ? given that wages for 40 women for 30 days are rs . 21600 .", + "Output Program": [ + "n0 = 20.0\nn1 = 14400.0\nn2 = 40.0\nn3 = 30.0\nn4 = 21600.0\nt0 = n2 * n3\nt1 = n4 / t0\nt2 = t1 * 2.0\nt3 = n0 * t2\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "cole drove from home to work at an average speed of 50 kmh . he then returned home at an average speed of 110 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ?", + "Output Program": [ + "n0 = 50.0\nn1 = 110.0\nn2 = 2.0\nt0 = n0 + n1\nt1 = n1 * n2\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "82.5" + ], + "split": "train" + }, + { + "Input": "a train 280 m long , running with a speed of 63 km / hr will pass a tree in", + "Output Program": [ + "n0 = 280.0\nn1 = 63.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a can do a work in 8 days . b can do the same work in 16 days . if both a & b are working together in how many days they will finish the work ?", + "Output Program": [ + "n0 = 8.0\nn1 = 16.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "5.333333333333333" + ], + "split": "train" + }, + { + "Input": "if in a race of 70 m , a covers the distance in 20 seconds and b in 25 seconds , then a beats b by :", + "Output Program": [ + "n0 = 70.0\nn1 = 20.0\nn2 = 25.0\nt0 = n2 - n1\nt1 = t0 / n2\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "a bus covered a distance of 250 km , partly at an average speed of 40 kmph and partly at 60 kmph . if the total time taken is 5.2 hours , then the distance covered at 40 kmph is", + "Output Program": [ + "n0 = 250.0\nn1 = 40.0\nn2 = 60.0\nn3 = 5.2\nn4 = 40.0\nt0 = n2 * n3\nt1 = n1 - n2\nt2 = -t1\nt3 = t0 - n0\nt4 = t3 / t2\nanswer = n1 * t4\nprint(answer)" + ], + "Output Answer": [ + "124" + ], + "split": "train" + }, + { + "Input": "jane and ashley take 13 1 / 3 days and 40 days respectively to complete a project when they work on it alone . they thought if they worked on the project together , they would take fewer days to complete it . during the period that they were working together , jane took an 8 day leave from work . this led to jane ' s working for 4 extra days on her own to complete the project . how long did it take to finish the project ?", + "Output Program": [ + "n0 = 13.0\nn1 = 1.0\nn2 = 3.0\nn3 = 40.0\nn4 = 8.0\nn5 = 4.0\nt0 = n1 / n2\nt1 = n5 * t0\nt2 = 1 / t1\nt3 = n3 * t2\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 4 liters per minute . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours . the capacity of the tank is ?", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nn2 = 8.0\nt0 = n2 * 60.0\nt1 = n0 * 60.0\nt2 = t0 / t1\nt3 = n1 * t0\nt4 = t2 - 1.0\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "5760.000000000001" + ], + "split": "train" + }, + { + "Input": "jane and ashley take 10 days and 40 days respectively to complete a project when they work on it alone . they thought if they worked on the project together , they would take fewer days to complete it . during the period that they were working together , jane took an eight day leave from work . this led to jane ' s working for four extra days on her own to complete the project . how long did it take to finish the project ?", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nt0 = 4.0 + 4.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = t1 + t2\nt4 = t1 * 4.0\nt5 = t0 * t2\nt6 = 1.0 - t4\nt7 = t6 - t5\nt8 = t7 / t3\nt9 = t0 + t8\nanswer = t9 + 4.0\nprint(answer)" + ], + "Output Answer": [ + "15.2" + ], + "split": "train" + }, + { + "Input": "the elevator in an 11 - story office building travels at the rate of one floor per 1 / 4 minute , which allows time for picking up and discharging passengers . at the main floor and at the top floor , the operator stops for 1 minute . how many complete trips will an operator make during a 4 - hour period ?", + "Output Program": [ + "n0 = 11.0\nn1 = 1.0\nn2 = 4.0\nn3 = 1.0\nn4 = 4.0\nt0 = 1 / 4.0\nt1 = n2 * 60.0\nt2 = n0 - n1\nt3 = t2 + t2\nt4 = t3 * t0\nt5 = n1 + t4\nt6 = n1 + t5\nanswer = t1 / t6\nprint(answer)" + ], + "Output Answer": [ + "34.285714285714285" + ], + "split": "train" + }, + { + "Input": "johnny travels a total of one hour to and from school . on the way there he jogs at 5 miles per hour and on the return trip he gets picked up by the bus and returns home at 30 miles per hour . how far is it to the school ?", + "Output Program": [ + "n0 = 5.0\nn1 = 30.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1.0 / t2\nanswer = t3 * 1.6\nprint(answer)" + ], + "Output Answer": [ + "6.857142857142858" + ], + "split": "train" + }, + { + "Input": "you have a flashlight that takes 2 working batteries . you have 8 batteries but only 4 of them work . what is the fewest number of pairs you need to test to guarantee you can get the flashlight on ?", + "Output Program": [ + "n0 = 2.0\nn1 = 8.0\nn2 = 4.0\nt0 = n0 + 1.0\nt1 = n0 * t0\nanswer = t1 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 18 \u00b0 of the circle , what percentage of megatek employees are in manufacturing ?", + "Output Program": [ + "n0 = 18.0\nt0 = 3600.0 / 10.0\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a river 7 m deep and 75 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 7.0\nn1 = 75.0\nn2 = 4.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "35000" + ], + "split": "train" + }, + { + "Input": "eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 4 hours to complete the journey . if the distance between city a and city b is 600 kms and city a and city c is 460 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 600.0\nn3 = 460.0\nt0 = n2 / n0\nt1 = n3 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "1.7391304347826086" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 10 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 40 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", + "Output Program": [ + "n0 = 10.0\nn1 = 1.0\nn2 = 1.0\nn3 = 40.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 30 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 30.0\nn1 = 18.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 4 m x 2 m x 25 cm ?", + "Output Program": [ + "n0 = 25.0\nn1 = 11.25\nn2 = 6.0\nn3 = 4.0\nn4 = 2.0\nn5 = 25.0\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "1185.1851851851852" + ], + "split": "train" + }, + { + "Input": "a train moves at average speed of 40 kmph reaches its destination on time . what its average speed becomes 35 kmph , then it reaches its destination 15 late . find the length of the journey ?", + "Output Program": [ + "n0 = 40.0\nn1 = 35.0\nn2 = 15.0\nt0 = n1 * n2\nt1 = n0 - n1\nt2 = t0 / t1\nt3 = t2 / 60.0\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "a alone can finish a work in 10 days which b alone can finish in 15 days . if they work together and finish it , then out of a total wages of rs . 3300 , a will get :", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 3300.0\nt0 = n1 * 2.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = t1 / t3\nanswer = n2 * t4\nprint(answer)" + ], + "Output Answer": [ + "1980" + ], + "split": "train" + }, + { + "Input": "the lcm of two numbers is 2310 and hcf is 61 . if one of the numbers is 210 . then what is the other number ?", + "Output Program": [ + "n0 = 2310.0\nn1 = 61.0\nn2 = 210.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "671" + ], + "split": "train" + }, + { + "Input": "a tank is 25 m long 12 m wide and 6 m deep . the cost of plastering its walls and bottom at 30 paise per sq m is", + "Output Program": [ + "n0 = 25.0\nn1 = 12.0\nn2 = 6.0\nn3 = 30.0\nt0 = n3 / 100.0\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 * n1\nt4 = t1 * 2.0\nt5 = t2 * 2.0\nt6 = t4 + t5\nt7 = t6 + t3\nanswer = t7 * t0\nprint(answer)" + ], + "Output Answer": [ + "223.2" + ], + "split": "train" + }, + { + "Input": "3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 5 men and 2 women will do that task .", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 6.0\nn3 = 2.0\nn4 = 5.0\nn5 = 2.0\nt0 = n1 - n3\nt1 = n2 - n0\nt2 = t0 / t1\nt3 = n4 * t2\nt4 = n2 * t2\nt5 = n5 + t3\nt6 = n3 + t4\nanswer = t5 / t6\nprint(answer)" + ], + "Output Answer": [ + "0.8571428571428571" + ], + "split": "train" + }, + { + "Input": "6 boysand 8 girls can do job in 10 days , 26 boys & 48 women do work in 2 days find time taken by 15 boys and 20 girls to do same work", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 10.0\nn3 = 26.0\nn4 = 48.0\nn5 = 2.0\nn6 = 15.0\nn7 = 20.0\nt0 = n4 * n5\nt1 = n1 * n2\nt2 = n0 * n2\nt3 = n3 * n5\nt4 = t0 - t1\nt5 = t2 - t3\nt6 = t4 / t5\nanswer = n5 * t6\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 14 km / hr in still water . if the speed of the stream is 6 km / hr , find the time taken by the boat to go 72 km downstream .", + "Output Program": [ + "n0 = 14.0\nn1 = 6.0\nn2 = 72.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.6" + ], + "split": "train" + }, + { + "Input": "how many paying stones , each measuring 4 m * 2 m are required to pave a rectangular court yard 40 m long and 20 m board ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 40.0\nn3 = 20.0\nt0 = n2 * n3 # area of rectangle\nt1 = n0 * n1 # area of rectangle\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "convert the 12 / 36 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 12.0\nn1 = 36.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "1.2" + ], + "split": "train" + }, + { + "Input": "in covering a distance of 30 km , abhay takes 2 hours more than sameer . if abhay doubles his speed , then he would take 1 hour less than sameer . abhay ' s speed is :", + "Output Program": [ + "n0 = 30.0\nn1 = 2.0\nn2 = 1.0\nt0 = n1 + n2\nt1 = n0 / n1\nt2 = n0 - t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 50 meters or 10 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 50.0\nn1 = 10.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "190" + ], + "split": "train" + }, + { + "Input": "18 : 12 seconds : : ? : 6 minutes", + "Output Program": [ + "n0 = 18.0\nn1 = 12.0\nn2 = 6.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "a ship going at the speed of 18 km / hr crosses a light house in 20 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 18.0\nn1 = 20.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "100.008" + ], + "split": "train" + }, + { + "Input": "matt and peter can do together a piece of work in 20 days . after they have worked together for 12 days peter stops and peter completes the remaining work in 10 days . in how many days matt complete the work separately .", + "Output Program": [ + "n0 = 20.0\nn1 = 12.0\nn2 = 10.0\nt0 = 1.0 / n0\nt1 = n1 * t0\nt2 = 1.0 - t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "25.000000000000007" + ], + "split": "train" + }, + { + "Input": "if the wheel is 14 cm then the number of revolutions to cover a distance of 1320 cm is ?", + "Output Program": [ + "n0 = 14.0\nn1 = 1320.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "15.013648771610555" + ], + "split": "train" + }, + { + "Input": "the cross - section of a water channel is a trapezium in shape . if the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross - section is 880 square meters , what is the depth of the channel ( in meters ) ?", + "Output Program": [ + "n0 = 14.0\nn1 = 8.0\nn2 = 880.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "in what time will a train 100 m long cross an electric pole , it its speed be 162 km / hr ?", + "Output Program": [ + "n0 = 100.0\nn1 = 162.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.222044458665529" + ], + "split": "train" + }, + { + "Input": "a circular wheel radius is 1.75 m . for covering 11 k . m how much time it revolve ?", + "Output Program": [ + "import math\nn0 = 1.75\nn1 = 11.0\nt0 = 2 * math.pi * n0\nt1 = n1 * 1000.0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "1000.4024994347707" + ], + "split": "train" + }, + { + "Input": "calculate the speed of a boat in still water ( in km / hr ) if in one hour , the boat goes at 13 km / hr downstream and 4 km / hr upstream .", + "Output Program": [ + "n0 = 13.0\nn1 = 4.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8.5" + ], + "split": "train" + }, + { + "Input": "a , b and c can complete a piece of work in 24 , 6 and 12 days respectively . working together , they will complete the same work in :", + "Output Program": [ + "n0 = 24.0\nn1 = 6.0\nn2 = 12.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "3.428571428571429" + ], + "split": "train" + }, + { + "Input": "a man covered a certain distance at some speed . had he moved 3 kmph faster , he would have taken 40 minutes less . if he had moved 2 kmph slower , he would have taken 40 minutes more . the distance ( in km ) is :", + "Output Program": [ + "n0 = 3.0\nn1 = 40.0\nn2 = 2.0\nn3 = 40.0\nt0 = n1 / 60.0\nt1 = n0 * n2\nt2 = n0 - n2\nt3 = n2 * t1\nt4 = t3 / t2\nt5 = t4 / n0\nt6 = t4 * t0\nt7 = t5 + 1.0\nanswer = t7 * t6\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "rahul can done a work in 5 days and meena can done a work in 10 days . in how many days that both are work together ?", + "Output Program": [ + "n0 = 5.0\nn1 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.333333333333333" + ], + "split": "train" + }, + { + "Input": "a bicycle wheel has a diameter of 0.75 m . how many complete revolutions does it make in 1 km ?", + "Output Program": [ + "n0 = 0.75\nn1 = 1.0\nt0 = n1 * 1000.0\nt1 = 3.0 * 4.0\nt2 = 2.0 * 4.0\nt3 = t1 + 2.0\nt4 = t2 + 2.0\nt5 = t4**min(2.0, 5)\nt6 = t3 / t5\nt7 = t6 + 3.0\nt8 = n0 * t7\nanswer = t0 / t8\nprint(answer)" + ], + "Output Answer": [ + "424.6284501061571" + ], + "split": "train" + }, + { + "Input": "a , b , c , d and e are 5 consecutive points on a straight line . if bc = 2 cd , de = 8 , ab = 5 and ac = 11 , what is the length of ae ?", + "Output Program": [ + "n0 = 5.0\nn1 = 2.0\nn2 = 8.0\nn3 = 5.0\nn4 = 11.0\nt0 = n4 - n0\nt1 = t0 / n1\nt2 = n4 + t1\nanswer = n2 + t2\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "jose completes a piece of work in 10 days , raju completes the same work in 40 days . if both of them work together , then the number of days required to complete the work is", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nt0 = 1 / n1\nt1 = 1 / n0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "two trains of length 100 meters and 200 meters are 140 meters apart . they are moving towards each other on parallel tracks , at speeds of 54 km / h and 72 km / h . after how many seconds will the trains meet ?", + "Output Program": [ + "n0 = 100.0\nn1 = 200.0\nn2 = 140.0\nn3 = 54.0\nn4 = 72.0\nt0 = n3 + n4\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "3.999680025597952" + ], + "split": "train" + }, + { + "Input": "two trains start simultaneously from opposite ends of a 140 - km route and travel toward each other on parallel tracks . train x , traveling at a constant rate , completes the 140 - km trip in 4 hours . train y , travelling at a constant rate , completes the 140 - km trip in 3 hours . how many kilometers had train x traveled when it met train y ?", + "Output Program": [ + "n0 = 140.0\nn1 = 140.0\nn2 = 4.0\nn3 = 140.0\nn4 = 3.0\nt0 = n0 / n2\nt1 = n0 / n4\nt2 = t0 + t1\nt3 = n0 / t2\nanswer = t0 * t3\nprint(answer)" + ], + "Output Answer": [ + "60.00000000000001" + ], + "split": "train" + }, + { + "Input": "a , b and c can do a piece of work in 24 days , 30 days and 40 days respectively . they began the work together but c left 4 days before the completion of the work . in how many days was the work completed ?", + "Output Program": [ + "n0 = 24.0\nn1 = 30.0\nn2 = 40.0\nn3 = 4.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = 2.0 * n3\nt4 = t1 + t2\nt5 = t0 * t3\nt6 = 1.0 / t5\nt7 = n3 * t4\nt8 = t4 + t6\nt9 = 1.0 - t7\nt10 = t9 / t8\nanswer = n3 + t10\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "nicky and cristina are running a race . since cristina is faster than nicky , she gives him a 36 meter head start . if cristina runs at a pace of 4 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ?", + "Output Program": [ + "n0 = 36.0\nn1 = 4.0\nn2 = 3.0\nt0 = 4.0 - 3.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "16 boys or 24 girls can construct the wall in 6 days . the number of days that 8 boys and 6 girls will take to construct ?", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nn2 = 6.0\nn3 = 8.0\nn4 = 6.0\nt0 = 1.0 / n2\nt1 = t0 / n1\nt2 = t0 / n0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t3 + t4\nanswer = 1.0 / t5\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a 425 meter long train crosses a platform in 55 seconds while it crosses a signal pole in 40 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 425.0\nn1 = 55.0\nn2 = 40.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "159.375" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 8 seconds . find the length of the train .", + "Output Program": [ + "n0 = 60.0\nn1 = 8.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "133.33333333333334" + ], + "split": "train" + }, + { + "Input": "annika hikes at a constant rate of 12 minutes per kilometer . she has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 40 minutes . if annika continues east , then turns around and retraces her path to reach the start of the trail in exactly 40 minutes , for how many kilometers total did she hike east ?", + "Output Program": [ + "n0 = 12.0\nn1 = 2.75\nn2 = 40.0\nn3 = 40.0\nt0 = n2 / n0\nt1 = t0 - n1\nt2 = t1 / 2.0\nanswer = n1 + t2\nprint(answer)" + ], + "Output Answer": [ + "3.041666666666667" + ], + "split": "train" + }, + { + "Input": "a swimmer can swim in still water at 4 km / h . if the speed of the water current is 2 km / h , how many hours will the swimmer take to swim against the current for 3 km ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 3.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 400 metre long train take to cross a man running with a speed of 6 km / hr in the direction of the moving train if the speed of the train is 30 km / hr ?", + "Output Program": [ + "n0 = 400.0\nn1 = 6.0\nn2 = 30.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "59.99520038396929" + ], + "split": "train" + }, + { + "Input": "what is the maximum number of pieces of birthday cake of size 4 \u201d by 4 \u201d that can be cut from a cake 16 \u201d by 16 \u201d ?", + "Output Program": [ + "n0 = 4.0\nn1 = 4.0\nn2 = 16.0\nn3 = 16.0\nt0 = n2 * n2\nt1 = n0 * n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "jack and jill are marathon runners . jack can finish a marathon ( 41 km ) in 4.5 hours and jill can run a marathon in 4.1 hours . what is the ratio of their average running speed ? ( jack : jill )", + "Output Program": [ + "n0 = 41.0\nn1 = 4.5\nn2 = 4.1\nt0 = n0 / n1\nt1 = n0 / n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.9111111111111111" + ], + "split": "train" + }, + { + "Input": "jack and jill work at a hospital with 5 other workers . for an internal review , 2 of the 7 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?", + "Output Program": [ + "import math\nn0 = 5.0\nn1 = 2.0\nn2 = 7.0\nt0 = math.factorial(min(15, int(n2)))\nt1 = math.factorial(min(15, int(n1)))\nt2 = math.factorial(min(15, int(n0)))\nt3 = t1 * t2\nt4 = t0 / t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "0.047619047619047616" + ], + "split": "train" + }, + { + "Input": "a person walks from one end to the other of a 80 - meter long moving walkway at a constant rate in 40 seconds , assisted by the walkway . when this person reaches the end , they reverse direction and continue walking with the same speed , but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway . if the walkway were to stop moving , how many seconds would it take this person to walk from one end of the walkway to the other ?", + "Output Program": [ + "n0 = 80.0\nn1 = 40.0\nn2 = 120.0\nt0 = n0 / n1\nt1 = n0 / n2\nt2 = t0 + t1\nt3 = t2 / 2.0\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route . they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up , but the time each route will take is the same . if they will go up the mountain at a rate of 3 miles per day and it will take them two days , how many miles long is the route down the mountain ?", + "Output Program": [ + "n0 = 3.0\nt0 = 3.0 / 2.0\nt1 = n0 * 2.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 220 kilometers ?", + "Output Program": [ + "n0 = 40.0\nn1 = 220.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "5.5" + ], + "split": "train" + }, + { + "Input": "a courtyard is 25 meter long and 18 meter board is to be paved with bricks of dimensions 20 cm by 10 cm . the total number of bricks required is ?", + "Output Program": [ + "n0 = 25.0\nn1 = 18.0\nn2 = 20.0\nn3 = 10.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n2 * n3\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "22500" + ], + "split": "train" + }, + { + "Input": "the speeds of three asteroids were compared . asteroids x - 13 and y - 14 were observed for identical durations , while asteroid z - 15 was observed for 2 seconds longer . during its period of observation , asteroid y - 14 traveled three times the distance x - 13 traveled , and therefore y - 14 was found to be faster than x - 13 by 2500 kilometers per second . asteroid z - 15 had an identical speed as that of x - 13 , but because z - 15 was observed for a longer period , it traveled five times the distance x - 13 traveled during x - 13 ' s inspection . asteroid x - 13 traveled how many kilometers during its observation ?", + "Output Program": [ + "n0 = 13.0\nn1 = 14.0\nn2 = 15.0\nn3 = 2.0\nn4 = 14.0\nn5 = 13.0\nn6 = 14.0\nn7 = 13.0\nn8 = 2500.0\nn9 = 15.0\nn10 = 13.0\nn11 = 15.0\nn12 = 13.0\nn13 = 13.0\nn14 = 13.0\nt0 = n8 / n3\nt1 = 1.0 / n3\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "625" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 6.3 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 6.3\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "32.392033717615696" + ], + "split": "train" + }, + { + "Input": "a train is 300 meter long is running at a speed of 54 km / hour . in what time will it pass a tunnel of 1200 meter length ?", + "Output Program": [ + "n0 = 300.0\nn1 = 54.0\nn2 = 1200.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "tom traveled the entire 100 miles trip . if he did the first 50 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 50 miles per hour , what is the his average speed , in miles per hour ?", + "Output Program": [ + "n0 = 100.0\nn1 = 50.0\nn2 = 20.0\nn3 = 50.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = n3 / t1\nt3 = t2 + t0\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "28.571428571428573" + ], + "split": "train" + }, + { + "Input": "a cistern is normally filled in 2 hrs , but takes 2 hrs longer to fill because of a leak on its bottom , if cistern is full , how much time citern would empty ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nt0 = n0 + n1\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t1 - t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a van takes 6 hours to cover a distance of 270 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 270.0\nn2 = 3.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "working together , printer a and printer b would finish the task in 40 minutes . printer a alone would finish the task in 60 minutes . how many pages does the task contain if printer b prints 4 pages a minute more than printer a ?", + "Output Program": [ + "n0 = 40.0\nn1 = 60.0\nn2 = 4.0\nt0 = n1 / n0\nt1 = t0 - 1.0\nt2 = n2 / t1\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "480" + ], + "split": "train" + }, + { + "Input": "if 36 men do a work in 70 days , in how many days will 40 men do it ?", + "Output Program": [ + "n0 = 36.0\nn1 = 70.0\nn2 = 40.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "63" + ], + "split": "train" + }, + { + "Input": "a train 300 m long can cross an electric pole in 10 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 300.0\nn1 = 10.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "107.99999999999999" + ], + "split": "train" + }, + { + "Input": "a boy is travelling from his home to school at 5 km / hr and reached 7 min late . next day he traveled at 10 km / hr and reached 8 min early . distance between home and school ?", + "Output Program": [ + "n0 = 5.0\nn1 = 7.0\nn2 = 10.0\nn3 = 8.0\nt0 = n1 / 60.0\nt1 = n3 / 60.0\nt2 = 1.0 / n2\nt3 = t0 + t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "train" + }, + { + "Input": "a pipe can fill a cistern in 77 minutes . find the time in which 1 / 11 part of the cistern will be filled ?", + "Output Program": [ + "n0 = 77.0\nn1 = 1.0\nn2 = 11.0\nt0 = n1 / n2\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a can do a job in 10 days and b in 20 days . if they work on it together for 4 days , then the fraction of the work that is left is ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.3999999999999999" + ], + "split": "train" + }, + { + "Input": "a searchlight on top of the watch - tower makes 2 revolutions per minute . what is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds ?", + "Output Program": [ + "n0 = 2.0\nn1 = 5.0\nt0 = 1.0 * 60.0\nt1 = t0 / n0\nt2 = n1 / t1\nanswer = 1.0 - t2\nprint(answer)" + ], + "Output Answer": [ + "0.8333333333333334" + ], + "split": "train" + }, + { + "Input": "20 men do a work in 20 days . how many men are needed to finish the work in 5 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 20.0\nn2 = 5.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "roja and pooja start moving in the opposite directions from a pole . they are moving at the speeds of 7 km / hr and 3 km / hr respectively . after 4 hours what will be the distance between them ?", + "Output Program": [ + "n0 = 7.0\nn1 = 3.0\nn2 = 4.0\nt0 = n0 + n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 27 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 27.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "150.00000000000006" + ], + "split": "train" + }, + { + "Input": "if jack walked 7 miles in 1 hour and 15 minutes , what was his rate of walking in miles per hour ?", + "Output Program": [ + "n0 = 7.0\nn1 = 1.0\nn2 = 15.0\nt0 = n2 + 60.0\nt1 = n0 * 60.0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "5.6" + ], + "split": "train" + }, + { + "Input": "a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 150 kilometers ?", + "Output Program": [ + "n0 = 40.0\nn1 = 150.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "3.75" + ], + "split": "train" + }, + { + "Input": "golu started from his house towards north . after covering a distance of 8 km . he turned towards left and covered a distance of 6 km . what is the shortest distance now from his house ?", + "Output Program": [ + "import math\nn0 = 8.0\nn1 = 6.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 + t1\nanswer = math.sqrt(max(0, t2))\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a tank can be filled by a tap in 20 minutes and by another tap in 60 minutes . both the taps are kept open for 10 minutes and then the first tap is shut off . after this , the tank will be completely filled in what time ?", + "Output Program": [ + "n0 = 20.0\nn1 = 60.0\nn2 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nt4 = 1.0 - t3\nanswer = t4 / t1\nprint(answer)" + ], + "Output Answer": [ + "20.000000000000004" + ], + "split": "train" + }, + { + "Input": "renu can do a piece of work in 6 days , but with the help of her friend suma , she can do it in 3 days . in what time suma can do it alone ?", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "an engineer undertakes a project to build a road 15 km long in 300 days and employs 50 men for the purpose . after 100 days , he finds only 2.5 km of the road has been completed . find the ( approximate ) number of extra men he must employ to finish the work in time .", + "Output Program": [ + "n0 = 15.0\nn1 = 300.0\nn2 = 50.0\nn3 = 100.0\nn4 = 2.5\nt0 = n0 - n4\nt1 = n1 - n3\nt2 = n2 * t0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t4 / t3\nanswer = t5 - n2\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 12 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 12.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "a is twice as fast as b . if b alone can do a piece of work in 24 days , in what time can a and b together complete the work ?", + "Output Program": [ + "n0 = 24.0\nt0 = 1.0 / n0\nt1 = t0 * 2.0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a cylinder is 6 cms in diameter and 6 cms in height . if spheres of the same size are made from the material obtained , what is the diameter of each sphere ?", + "Output Program": [ + "import math\nn0 = 6.0\nn1 = 6.0\nt0 = 4.0 / 3.0\nt1 = 3.0 * 3.0\nt2 = n0 * 2.0\nt3 = n0 * t1\nt4 = t0 * t2\nt5 = t3 / t4\nanswer = math.floor(t5)\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "if 20 typists can type 44 letters in 20 minutes , then how many letters will 30 typists working at the same rate complete in 1 hour ?", + "Output Program": [ + "n0 = 20.0\nn1 = 44.0\nn2 = 20.0\nn3 = 30.0\nn4 = 1.0\nt0 = n1 * 3.0\nt1 = t0 / n0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "198" + ], + "split": "train" + }, + { + "Input": "two trains are moving in the same direction at 162 kmph and 18 kmph . the faster train crosses a man in the slower train in 33 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 162.0\nn1 = 18.0\nn2 = 33.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "1320" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 5 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 100 km downstream .", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 100.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a car travels at a speed of 55 miles per hour . how far will it travel in 5 hours ?", + "Output Program": [ + "n0 = 55.0\nn1 = 5.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "275" + ], + "split": "train" + }, + { + "Input": "every second saturday and all sundays are holidays . how many working days will be there in a month of 30 days beginning on a saturday ?", + "Output Program": [ + "n0 = 30.0\nt0 = 1.0 + 1.0\nt1 = 2.0 + 3.0\nt2 = t0 + t1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "23" + ], + "split": "train" + }, + { + "Input": "a factory produces 5500 toys per week . if the workers at this factory work 4 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?", + "Output Program": [ + "n0 = 5500.0\nn1 = 4.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "1375" + ], + "split": "train" + }, + { + "Input": "what is the greatest possible length which can be used to measure exactly the lengths 180 m , 500 m and 15 m 20 cm ?", + "Output Program": [ + "n0 = 180.0\nn1 = 500.0\nn2 = 15.0\nn3 = 20.0\n\nanswer = n3 * 4.0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "my grandson is about as many days as my son in weeks , and my grandson is as many months as i am in years . my grandson , my son and i together are 140 years . can you tell me my age in years ?", + "Output Program": [ + "n0 = 140.0\nt0 = 10.0 + 10.0\nt1 = n0 / t0\nanswer = t1 * 12.0\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "train" + }, + { + "Input": "on a trip covering 350 km , a bicyclist travels the first 200 km at 20 km per hour and the remainder of the distance at 15 km per hour . what is the average speed , in km per hour , for the entire trip ?", + "Output Program": [ + "n0 = 350.0\nn1 = 200.0\nn2 = 20.0\nn3 = 15.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 / n3\nt3 = t0 + t2\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "17.5" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 1200 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "71.99424046076314" + ], + "split": "train" + }, + { + "Input": "the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1.30 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?", + "Output Program": [ + "import math\nn0 = 3136.0\nn1 = 3.0\nn2 = 1.3\nn3 = 1.0\nt0 = n3 * 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 * 4.0\nt3 = t2 - t0\nt4 = n2 * t3\nanswer = t4 * n1\nprint(answer)" + ], + "Output Answer": [ + "865.8000000000001" + ], + "split": "train" + }, + { + "Input": "25 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 5 women and 10 children take to complete the work ?", + "Output Program": [ + "n0 = 25.0\nn1 = 7.0\nn2 = 10.0\nn3 = 14.0\nn4 = 5.0\nn5 = 10.0\nt0 = n0 * n1\nt1 = n0 * n3\nt2 = n4 / t0\nt3 = n0 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a train 300 m long is running at a speed of 68 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?", + "Output Program": [ + "n0 = 300.0\nn1 = 68.0\nn2 = 8.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190784" + ], + "split": "train" + }, + { + "Input": "a certain car increased its average speed by 5 miles per hour in each successive 5 - minute interval after the first interval . if in the first 5 - minute interval its average speed was 38 miles per hour , how many miles did the car travel in the third 5 - minute interval ?", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 5.0\nn3 = 38.0\nn4 = 5.0\nt0 = n0 + n3\nt1 = n0 / 60.0\nt2 = n0 + t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a computer factory produces 3024 computers per month at a constant rate , how many computers are built every 30 minutes assuming that there are 28 days in one month ?", + "Output Program": [ + "n0 = 3024.0\nn1 = 30.0\nn2 = 28.0\nt0 = n0 / n2\nt1 = n2 - 4.0\nt2 = t1 * 2.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "2.25" + ], + "split": "train" + }, + { + "Input": "a train crosses a platform of 170 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ?", + "Output Program": [ + "n0 = 170.0\nn1 = 15.0\nn2 = 250.0\nn3 = 20.0\nt0 = n1 / 3.0\nt1 = n1 / t0\nt2 = n3 / t0\nt3 = n2 * t1\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m , the cost of fencing it at 40 ps per meter is ?", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 2.0\nn2 = 3750.0\nn3 = 40.0\nt0 = n1 * n2\nt1 = t0 / n0\nt2 = math.sqrt(max(0, t1))\nt3 = n2 / t2\nt4 = 2 * (t3 + t2) # perimetere of rectangle\nt5 = n3 * t4\nanswer = t5 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 15 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 36.0\nn2 = 15.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "if 12 men do a work in 80 days , in how many days will 20 men do it ?", + "Output Program": [ + "n0 = 12.0\nn1 = 80.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "at 6 \u2032 o a clock ticks 6 times . the time between first and last ticks is 40 seconds . how long does it tick at 12 \u2032 o clock", + "Output Program": [ + "n0 = 6.0\nn1 = 6.0\nn2 = 40.0\nn3 = 12.0\nt0 = n0 - 1.0\nt1 = n3 - 1.0\nt2 = n2 / t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "88" + ], + "split": "train" + }, + { + "Input": "a 290 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", + "Output Program": [ + "n0 = 290.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "210.03999999999996" + ], + "split": "train" + }, + { + "Input": "a and b can do a work in 12 days , b and c in 15 days , c and a in 20 days . if a , b and c work together , they will complete the work in :", + "Output Program": [ + "n0 = 12.0\nn1 = 15.0\nn2 = 20.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = t4 / 2.0\nanswer = 1.0 / t5\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 240 m long ?", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 240.0\nt0 = n2 / 1000.0\nt1 = n0 / 1000.0\nt2 = t0 + t1\nt3 = t2 / n1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "a train 300 meters long completely crosses a 300 meters long bridge in 45 seconds . what is the speed of the train is ?", + "Output Program": [ + "n0 = 300.0\nn1 = 300.0\nn2 = 45.0\nt0 = n0 + n1\nt1 = n2 / 3600.0\nt2 = t0 / 1000.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "47.99999999999999" + ], + "split": "train" + }, + { + "Input": "how long does a train 165 meters long running at the rate of 72 kmph take to cross a bridge 660 meters in length ?", + "Output Program": [ + "n0 = 165.0\nn1 = 72.0\nn2 = 660.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "41.24670026397888" + ], + "split": "train" + }, + { + "Input": "a train 120 m long crosses a platform with a speed of 60 kmph in 15 sec ; find the length of the platform ?", + "Output Program": [ + "n0 = 120.0\nn1 = 60.0\nn2 = 15.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "130.01999999999998" + ], + "split": "train" + }, + { + "Input": "a man rows his boat 84 km downstream and 48 km upstream , taking 2 hours each time . find the speed of the stream ?", + "Output Program": [ + "n0 = 84.0\nn1 = 48.0\nn2 = 2.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 72 km / hr crosses a pole in 9 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 20 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 60 metres ?", + "Output Program": [ + "n0 = 20.0\nn1 = 3.0\nn2 = 60.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "9.390553103577801" + ], + "split": "train" + }, + { + "Input": "in filling a lot with sand , that is 40 m * 20 m * 2 m the volumes of the sand filled will be ?", + "Output Program": [ + "n0 = 40.0\nn1 = 20.0\nn2 = 2.0\n\nanswer = n0 * n1 * n2\nprint(answer)" + ], + "Output Answer": [ + "1600" + ], + "split": "train" + }, + { + "Input": "a group of men decided to do a work in 20 days , but 2 of them became absent . if the rest of the group did the work in 22 days , find the original number of men ?", + "Output Program": [ + "n0 = 20.0\nn1 = 2.0\nn2 = 22.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 1000 m long ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 120.0\nn2 = 1000.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "220" + ], + "split": "train" + }, + { + "Input": "sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 432 per week . how much does she earn in dollars per hour ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 432.0\nt0 = n0 * 3.0\nt1 = n1 * 2.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a pool in 12 hours at a constant rate . if pipe a does the job for 8 hours and pipe b does the rest of the job , which works at 1 / 3 constant rate of pipe a . how long will it take for pipe b alone to do the rest of the job ?", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 1.0\nn3 = 3.0\nt0 = 1 / n3\nt1 = n0 - n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "the number of degrees that the hour hand of a clock moves through between noon and 2.30 in the afternoon of the same day is", + "Output Program": [ + "import math\nn0 = 2.3\nt0 = math.floor(n0)\nt1 = n0 - t0\nt2 = t1 / 60.0\nt3 = t2 * 100.0\nt4 = t0 + t3\nt5 = t4 * 3.0\nanswer = t5 * 10.0\nprint(answer)" + ], + "Output Answer": [ + "74.99999999999999" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 90 km / hr crosses a pole in 15 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 90.0\nn1 = 15.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "375" + ], + "split": "train" + }, + { + "Input": "five machines , each working at the same constant rate , together can complete a certain job in 20 days . how many additional machines , each working at the same constant rate , will be needed to complete the job in 10 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nt0 = 1.0 + 4.0\nt1 = n0 * t0\nt2 = t1 / n1\nanswer = t2 - t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a train travels from albany to syracuse , a distance of 120 miles , at the average rate of 40 miles per hour . the train then travels back to albany from syracuse . the total travelling time of the train is 5 hours and 24 minutes . what was the average rate of speed of the train on the return trip to albany ?", + "Output Program": [ + "n0 = 120.0\nn1 = 40.0\nn2 = 5.0\nn3 = 24.0\nt0 = n3 / 60.0\nt1 = n0 / n1\nt2 = n2 + t0\nt3 = t2 - t1\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "49.99999999999999" + ], + "split": "train" + }, + { + "Input": "a train of length l is traveling at a constant velocity and passes a pole in t seconds . if the same train travelling at the same velocity passes a platform in 6 t seconds , then what is the length of the platform ?", + "Output Program": [ + "n0 = 6.0\n\nanswer = n0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a bus 15 m long is running with a speed of 40 km / hr . in what time will it pass a man who is skateboarding at 8 km / hr in the direction opposite to that in which the car is going ?", + "Output Program": [ + "n0 = 15.0\nn1 = 40.0\nn2 = 8.0\nt0 = n1 + n2\nt1 = n0 * 3600.0\nt2 = t1 / t0\nanswer = t2 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "1.125" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 300 km / hr crosses a pole in 15 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 300.0\nn1 = 15.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "1250" + ], + "split": "train" + }, + { + "Input": "a boat covers a certain distance downstream in 1 hour , while it comes back in 1.30 hours . if the speed of the stream be 3 kmph , what is the speed of the boat in still water ?", + "Output Program": [ + "n0 = 1.0\nn1 = 1.3\nn2 = 3.0\nt0 = n2 / 2.0\nt1 = n2 * t0\nt2 = t0 - n0\nt3 = n2 + t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a train passes a platform in 22 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is", + "Output Program": [ + "n0 = 22.0\nn1 = 20.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "30.002399999999998" + ], + "split": "train" + }, + { + "Input": "a rectangular plot measuring 15 meters by 50 meters is to be enclosed by wire fencing . if the poles of the fence are kept 5 meters apart . how many poles will be needed ?", + "Output Program": [ + "n0 = 15.0\nn1 = 50.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = t0 * 2.0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "if a train , travelling at a speed of 270 kmph , crosses a pole in 5 sec , then the length of train is ?", + "Output Program": [ + "n0 = 270.0\nn1 = 5.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "375.03" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 45 km and upstream 25 km taking 5 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 45.0\nn1 = 25.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "the length of a bridge in meters , which a train 90 - meters long and traveling at 45 km / hr can cross in 30 seconds is ?", + "Output Program": [ + "n0 = 90.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 * 1000.0\nt1 = t0 / 3600.0\nt2 = n2 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "285" + ], + "split": "train" + }, + { + "Input": "in a games hour 4 different types of players came to the ground ? cricket 16 , hokey 12 , football 18 , softball 13 . how many players are present in the ground ?", + "Output Program": [ + "n0 = 4.0\nn1 = 16.0\nn2 = 12.0\nn3 = 18.0\nn4 = 13.0\nt0 = n1 + n2\nt1 = n3 + n4\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "59" + ], + "split": "train" + }, + { + "Input": "laxmi and prasanna set on a journey . laxmi moves northwards at a speed of 18 kmph and prasanna moves southward at a speed of 27 kmph . how far will be prasanna from laxmi after 60 minutes ?", + "Output Program": [ + "n0 = 18.0\nn1 = 27.0\nn2 = 60.0\n\nanswer = n0 + n1\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "tom traveled the entire 80 miles trip . if he did the first 30 miles of at a constant rate 30 miles per hour and the remaining trip of at a constant rate 50 miles per hour , what is the his average speed , in miles per hour ?", + "Output Program": [ + "n0 = 80.0\nn1 = 30.0\nn2 = 30.0\nn3 = 50.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = n3 / t1\nt3 = t2 + t0\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "there are 24 students in a seventh grade class . they decided to plant birches and roses at the school ' s backyard . while each girl planted 3 roses , every three boys planted 1 birch . by the end of the day they planted 2424 plants . how many birches and roses were planted ?", + "Output Program": [ + "n0 = 24.0\nn1 = 3.0\nn2 = 1.0\nn3 = 2424.0\nt0 = n0 * n1\nt1 = n1 * n1\nt2 = t0 - n0\nt3 = t1 - n2\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "if a and b run on a circular path in opposite directions of constant speeds with different velocities from p and q . first time they meet 800 mts away from p and second time they meet 700 mts away from p , what is the lenght of the circular path .", + "Output Program": [ + "n0 = 800.0\nn1 = 700.0\nt0 = n0 * 2.0\nanswer = n1 + t0\nprint(answer)" + ], + "Output Answer": [ + "2300" + ], + "split": "train" + }, + { + "Input": "express a speed of 84 kmph in meters per second ?", + "Output Program": [ + "n0 = 84.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "23.3352" + ], + "split": "train" + }, + { + "Input": "a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 14 multiples of 14 , how many multiples of 7 are there in q ?", + "Output Program": [ + "n0 = 14.0\nn1 = 14.0\nn2 = 14.0\nn3 = 7.0\nt0 = n1 * 2.0\nanswer = t0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "the length of a train and that of a platform are equal . if with a speed of 180 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?", + "Output Program": [ + "n0 = 180.0\nt0 = 60.0 / 1.0\nt1 = n0 * 1000.0\nt2 = t1 / t0\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1500" + ], + "split": "train" + }, + { + "Input": "10 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 5 women and 10 children take to complete the work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 7.0\nn2 = 10.0\nn3 = 14.0\nn4 = 5.0\nn5 = 10.0\nt0 = n0 * n1\nt1 = n0 * n3\nt2 = n4 / t0\nt3 = n0 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "maria sold 10 kg of apples in her first hour at the market , but only 2 kg of apples in the second hour . on average , how many kg of apples did she sell in two hours at the market ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nt0 = n1 * n1\nanswer = n0 - t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "how much time will a train of length 200 m moving at a speed of 72 kmph take to cross another train of length 300 m , moving at 36 kmph in the same direction ?", + "Output Program": [ + "n0 = 200.0\nn1 = 72.0\nn2 = 300.0\nn3 = 36.0\nt0 = n0 + n2\nt1 = n1 - n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "49.9960003199744" + ], + "split": "train" + }, + { + "Input": "if 3 women can color 180 m long cloth in 2 days , then 5 women can color 300 m long cloth in ?", + "Output Program": [ + "n0 = 3.0\nn1 = 180.0\nn2 = 2.0\nn3 = 5.0\nn4 = 300.0\nt0 = n0 * n2\nt1 = n1 / t0\nt2 = n3 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a train with 1200 m crosses a tree in 120 sec , how much time will i take to pass a platform 700 m long ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 120.0\nn2 = 700.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "190" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 5 kmph and downstream at 25 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 5.0\nn1 = 25.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "if 12 men or 20 women can do a piece of work in 27 days , then in how many days can 9 men and 12 women together do the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\nn2 = 27.0\nn3 = 9.0\nn4 = 12.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = n3 / t0\nt3 = n4 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "mary goes into labor at her local grocery store and is rushed to a hospital in an ambulance traveling 60 mph . her husband don drives after the ambulance at an average speed of 30 mph . mary reaches the hospital fifteen minutes later . how long does it take don to get there from the store ?", + "Output Program": [ + "n0 = 60.0\nn1 = 30.0\nt0 = 12.0 + 3.0\nt1 = n0 - n1\nt2 = t0 / 60.0\nt3 = n1 * t2\nt4 = t3 / t1\nt5 = t4 * 60.0\nanswer = t0 + t5\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "if a man earns rs 20 on first day and spends rs 15 on second day , and earns rs 20 on third day and spends rs 15 on fourth day and goes on on which day he will be having rs 60 .", + "Output Program": [ + "n0 = 20.0\nn1 = 15.0\nn2 = 20.0\nn3 = 15.0\nn4 = 60.0\nt0 = 2.0 + 3.0\nt1 = 4.0 * 4.0\nt2 = t0 / 2.0\nt3 = t2 * t1\nanswer = n0 + t3\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train catches and completely passes the slower train in 18 seconds . what is the length of each train ( in meters ) ?", + "Output Program": [ + "n0 = 46.0\nn1 = 36.0\nn2 = 18.0\nt0 = n0 - n1\nt1 = t0 * 1000.0\nt2 = t1 / 3600.0\nt3 = n2 * t2\nanswer = t3 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a train is 360 meter long is running at a speed of 90 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 360.0\nn1 = 90.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "in what time will a train 130 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 130.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.249740020798336" + ], + "split": "train" + }, + { + "Input": "donald duck can can swim his pool downstream ( with the pool current helping time ) in exact 40 seconds and upstream ( against the pool current ) in a pool in exact 60 seconds . the length of pool is 2 kilometers . how long donald duck can cover distance of one side at a still pool ( with no current ) .", + "Output Program": [ + "n0 = 40.0\nn1 = 60.0\nn2 = 2.0\nt0 = n2 * 1000.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = t3 / n2\nanswer = t0 / t4\nprint(answer)" + ], + "Output Answer": [ + "47.99999999999999" + ], + "split": "train" + }, + { + "Input": "an plane covers a certain distance at a speed of 240 kmph in 5 hours . to cover the same distance in 5 / 3 hours , it must travel at a speed of ?", + "Output Program": [ + "n0 = 240.0\nn1 = 5.0\nn2 = 5.0\nn3 = 3.0\nt0 = n1 / n3\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "720" + ], + "split": "train" + }, + { + "Input": "a man can do a piece of work in 4 days , but with the help of his son he can do it in 3 days . in what time can the son do it alone ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "beginning in town a , biker bob rides his bike 10 miles west , 5 miles north , 5 miles east , and then 15 miles north , to town b . how far apart are town a and town b ? ( ignore the curvature of the earth . )", + "Output Program": [ + "import math\nn0 = 10.0\nn1 = 5.0\nn2 = 5.0\nn3 = 15.0\nt0 = n1 + n3\nt1 = n2**min(2.0, 5)\nt2 = t0**min(2.0, 5)\nt3 = t2 + t1\nanswer = math.sqrt(max(0, t3))\nprint(answer)" + ], + "Output Answer": [ + "20.615528128088304" + ], + "split": "train" + }, + { + "Input": "15 men take 21 days of 8 hrs . each to do a piece of work . how many days of 3 hrs . each would it take for 21 women if 3 women do as much work as 2 men ?", + "Output Program": [ + "n0 = 15.0\nn1 = 21.0\nn2 = 8.0\nn3 = 3.0\nn4 = 21.0\nn5 = 3.0\nn6 = 2.0\nt0 = n6 / n5\nt1 = n0 * n1\nt2 = n1 * n3\nt3 = n2 * t1\nt4 = t0 * t2\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "if a tire rotates at 400 revolutions per minute when the car is traveling 72 km / h , what is the circumference of the tire ?", + "Output Program": [ + "n0 = 400.0\nn1 = 72.0\nt0 = 2.0 * 3.0\nt1 = t0 * 10.0\nt2 = n0 * t1\nt3 = n1 / t2\nanswer = t3 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a 360 m long train is running at a speed of 55 km / hr . it crossed a platform of length 520 m in ?", + "Output Program": [ + "n0 = 360.0\nn1 = 55.0\nn2 = 520.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "57.59539236861051" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 98 km in the first hour and 70 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 98.0\nn1 = 70.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "train" + }, + { + "Input": "12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 10 days , working 12 hours a day , the number of men required ?", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 10.0\nn3 = 10.0\nn4 = 12.0\nt0 = n0 * n2\nt1 = n3 * n4\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a train 330 metres long is moving at a speed of 25 kmph . it will cross a man coming from the opposite direction at a speed of 2 km per hour in :", + "Output Program": [ + "n0 = 330.0\nn1 = 25.0\nn2 = 2.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "walking at 4 / 5 of her normal speed , a worker is 15 minutes later than usual in reaching her office . the usual time ( in minutes ) taken by her to cover the distance between her home and her office is", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 15.0\n\nanswer = n0 * n2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a can do a job in 15 days and b in 30 days . if they work on it together for 4 days , then the fraction of the work that is left is ?", + "Output Program": [ + "n0 = 15.0\nn1 = 30.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.6" + ], + "split": "train" + }, + { + "Input": "two trains of length 250 m and 120 m are 50 m apart . they start moving towards each other on parallel tracks , at speeds 64 kmph and 42 kmph . after how much time will the trains meet ?", + "Output Program": [ + "n0 = 250.0\nn1 = 120.0\nn2 = 50.0\nn3 = 64.0\nn4 = 42.0\nt0 = n3 + n4\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "1.6979773693576212" + ], + "split": "train" + }, + { + "Input": "if the l . c . m of two numbers is 750 and their product is 18750 , find the h . c . f of the numbers .", + "Output Program": [ + "n0 = 750.0\nn1 = 18750.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "what is the maximum number of pieces of birthday cake of size 10 \u201d by 10 \u201d that can be cut from a cake 20 \u201d by 20 \u201d ?", + "Output Program": [ + "n0 = 10.0\nn1 = 10.0\nn2 = 20.0\nn3 = 20.0\nt0 = n2 * n2\nt1 = n0 * n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 km / hr and crosses a 220 m long platform in 26 sec . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 220.0\nn2 = 26.0\nt0 = n0 / 3600.0\nt1 = t0 * 1000.0\nt2 = n2 * t1\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 175 m length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 72.0\nn2 = 175.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "14.248860091192705" + ], + "split": "train" + }, + { + "Input": "find the length of the wire required to go 15 times round a square field containing 69696 m 2 .", + "Output Program": [ + "import math\nn0 = 15.0\nn1 = 69696.0\nn2 = 2.0\nt0 = math.sqrt(n1) # square edge given area\nt1 = 4 * t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "15840" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 170 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 170.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "205" + ], + "split": "train" + }, + { + "Input": "a train travels from new york to chicago , a distance of approximately 480 miles , at an average rate of 60 miles per hour and arrives in chicago at 5 : 00 in evening , chicago time . at what hour in the morning , new york time , did the train depart for chicago ? ( note : chicago time is one hour earlier than new york time )", + "Output Program": [ + "n0 = 480.0\nn1 = 60.0\nn2 = 5.0\nn3 = 0.0\nt0 = n2 + 1.0\nt1 = n0 / n1\nt2 = t0 * 3.0\nanswer = t2 - t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "the speed of a subway train is represented by the equation z = s ^ 2 + 2 s for all situations where 0 \u2264 s \u2264 7 , where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving . in kilometers per hour , how much faster is the subway train moving after 7 seconds than it was moving after 2 seconds ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 0.0\nn3 = 7.0\nn4 = 7.0\nn5 = 2.0\nt0 = n0 * n4\nt1 = n0 * n5\nt2 = n4**min(n0, 5)\nt3 = n5**min(n0, 5)\nt4 = t0 + t2\nt5 = t1 + t3\nanswer = t4 - t5\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "train" + }, + { + "Input": "a boy goes to his school from his house at a speed of 3 km / hr and returns at a speed of 2 km / hr . if he takes 5 hours in going and coming . the distance between his house and school is ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 5.0\nt0 = n0 / n1\nt1 = t0 + 1.0\nt2 = n2 / t1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "in a 500 m race , ravi beats ramesh by 5 seconds or 100 m . they decide to run another race and this time ravi gives ramesh a head tart of 200 m . if ravi \u2019 s speed is twice his previous speed and ramesh \u2019 s speed is one and half times his previous speed , how far from the starting point should the winning post be so that they finish at the same time ?", + "Output Program": [ + "n0 = 500.0\nn1 = 5.0\nn2 = 100.0\nn3 = 200.0\n\nanswer = n0 * 1.0\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a train is 48 kmph and including stoppages it is 36 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 48.0\nn1 = 36.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "two trains of length 140 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 140.0\nn1 = 280.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "20.99832013438925" + ], + "split": "train" + }, + { + "Input": "a group of men decided to do a work in 6 days , but 4 of them became absent . if the rest of the group did the work in 12 days , find the original number of men ?", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nn2 = 12.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 8 pumps work to empty the tank in 1 day ?", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 2.0\nn3 = 8.0\nn4 = 1.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / n3\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of $ 700 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 700.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "14437.5" + ], + "split": "train" + }, + { + "Input": "x does a work in 10 days . y does the same work in 15 days . in how many days they together will do the same work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "train" + }, + { + "Input": "a train 108 m long moving at a speed of 50 kmph crosses a train 112 m long coming from opp direction in 6 seconds . the speed of the second train is", + "Output Program": [ + "n0 = 108.0\nn1 = 50.0\nn2 = 112.0\nn3 = 6.0\nt0 = n0 + n2\nt1 = t0 / n3\nt2 = t1 * 3.6\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "82" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 8 days . b can do it in 16 days . with the assistance of c they completed the work in 4 days . find in how many days can c alone do it ?", + "Output Program": [ + "n0 = 8.0\nn1 = 16.0\nn2 = 4.0\nt0 = n0 * n1\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = n2 * t3\nt5 = t0 - t4\nt6 = t5 / n2\nanswer = t0 / t6\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m , the cost of fencing it at 70 ps per meter is ?", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 2.0\nn2 = 3750.0\nn3 = 70.0\nt0 = n1 * n2\nt1 = t0 / n0\nt2 = math.sqrt(max(0, t1))\nt3 = n2 / t2\nt4 = 2 * (t3 + t2) # perimetere of rectangle\nt5 = n3 * t4\nanswer = t5 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "175" + ], + "split": "train" + }, + { + "Input": "in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 80 questions and secures 120 marks , how many questions does he answer correctly ?", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 80.0\nn3 = 120.0\nt0 = n2 + n3\nt1 = n0 + n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "after striking the floor , a rubber ball rebounds to 4 / 5 th of the height from which it has fallen . find the total distance that it travels before coming to rest if it has been gently dropped from a height of 120 metres .", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 120.0\nt0 = n0 + n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "1080" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 16 km / hr in still water . if the rate of stream is 5 km / hr , then find the time taken by the boat to cover distance of 105 km downstream .", + "Output Program": [ + "n0 = 16.0\nn1 = 5.0\nn2 = 105.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "express a speed of 72 kmph in meters per second ?", + "Output Program": [ + "n0 = 72.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "20.0016" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 100 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 100.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "5.999520038396929" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 40 m at the rate of rs . 3 a meter ?", + "Output Program": [ + "import math\nn0 = 40.0\nn1 = 3.0\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "376.99111843077515" + ], + "split": "train" + }, + { + "Input": "p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 60 days to complete the same work . then q alone can do it in", + "Output Program": [ + "n0 = 10.0\nn1 = 60.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = t2 / 2.0\nt4 = t3 - t1\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "23.999999999999996" + ], + "split": "train" + }, + { + "Input": "the edges of three iron cubes are 6 cm ; 8 cm ; 10 cm respectively . a new cube was made by melting them . find the edge of the new cube ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 10.0\nt0 = 100.0 + 3.0\nt1 = n1 * 10.0\nt2 = n0 * n2\nt3 = n2 * 2.0\nt4 = t1 + 3.0\nt5 = t2 + 3.0\nt6 = t3 + 1.0\nt7 = t0 + t4\nt8 = t6 - 0.25\nt9 = t7 + t5\nanswer = t9 / t8\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "someone on a skateboard is traveling 5 miles per hour . how many feet does she travel in 45 seconds ? ( 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 5.0\nn1 = 45.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 * n3\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "330" + ], + "split": "train" + }, + { + "Input": "walking with 4 / 5 of my usual speed , i arrive at the bus stop 6 minutes later than normal . how many minutes does it take to walk to the bus stop at my usual speed ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 6.0\nt0 = n1 / n0\nt1 = t0 - 1.0\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "with both valves open , the pool will be filled with water in 48 minutes . the first valve alone would fill the pool in 2 hours . if the second valve emits 50 cubic meters of water more than the first every minute , then what is the capacity t of the pool ?", + "Output Program": [ + "n0 = 48.0\nn1 = 2.0\nn2 = 50.0\nt0 = 1.0 + 4.0\nt1 = n0 / 60.0\nt2 = t0 * t1\nt3 = t2 * 60.0\nanswer = n2 * t3\nprint(answer)" + ], + "Output Answer": [ + "12000" + ], + "split": "train" + }, + { + "Input": "a 300 meter long train crosses a platform in 30 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 30.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "200.00000000000006" + ], + "split": "train" + }, + { + "Input": "convert the 9 / 36 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 9.0\nn1 = 36.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "0.9" + ], + "split": "train" + }, + { + "Input": "in what time will a train 120 m long cross an electric pole , it its speed be 160 km / hr ?", + "Output Program": [ + "n0 = 120.0\nn1 = 160.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.699784017278618" + ], + "split": "train" + }, + { + "Input": "a 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 18.0\nt0 = n2 / 3.0\nt1 = n0 * 3.0\nt2 = n0 / t0\nt3 = n1 * t2\nt4 = t3 - t1\nanswer = t4 / 3.0\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 190 m long ?", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 190.0\nt0 = n2 / 1000.0\nt1 = n0 / 1000.0\nt2 = t0 + t1\nt3 = t2 / n1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "in a 500 m race , the ratio of the speeds of two contestants a and b is 3 : 4 . a has a start of 200 m . then , a wins by :", + "Output Program": [ + "n0 = 500.0\nn1 = 3.0\nn2 = 4.0\nn3 = 200.0\nt0 = n0 - n3\nt1 = n2 * t0\nt2 = t1 / n1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 9 multiples of 14 , how many multiples of 7 are there in q ?", + "Output Program": [ + "n0 = 14.0\nn1 = 9.0\nn2 = 14.0\nn3 = 7.0\nt0 = n1 * 2.0\nanswer = t0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "express a speed of 66 kmph in meters per second ?", + "Output Program": [ + "n0 = 66.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "18.334799999999998" + ], + "split": "train" + }, + { + "Input": "two trains are running in opposite directions in the same speed . the length of each train is 120 meter . if they cross each other in 36 seconds , the speed of each train ( in km / hr ) is", + "Output Program": [ + "n0 = 120.0\nn1 = 36.0\nt0 = n0 + n0\nt1 = t0 / n1\nt2 = t1 / 2.0\nanswer = t2 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line . for instance , 3 and 7 rhyme around 5 . what integer r between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 7.0\nn2 = 5.0\nn3 = 1.0\nn4 = 20.0\nt0 = 2.0 * 3.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "pumps a , b , and c operate at their respective constant rates . pumps a and b , operating simultaneously , can fill a certain tank in 2 hours ; pumps a and c , operating simultaneously , can fill the tank in 3 / 2 hours ; and pumps b and c , operating simultaneously , can fill the tank in 2 hours . how many hours does it take pumps a , b , and c , operating simultaneously , to fill the tank .", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 2.0\nn3 = 2.0\nt0 = n1 + n1\nt1 = n0 + n0\nt2 = n1 / n0\nt3 = t1 + t2\nt4 = t0 - t3\nanswer = t4 / n0\nprint(answer)" + ], + "Output Answer": [ + "0.25" + ], + "split": "train" + }, + { + "Input": "a man rows his boat 90 km downstream and 72 km upstream , taking 3 hours each time . find the speed of the stream ?", + "Output Program": [ + "n0 = 90.0\nn1 = 72.0\nn2 = 3.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "to fill a tank , 10 buckets of water is required . how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two - fifth of its present ?", + "Output Program": [ + "n0 = 10.0\nt0 = 1.0 + 4.0\nt1 = n0 * t0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "if 30 oxen can plough 1 / 7 th of a field in 2 days , how many days 18 oxen will take to do the remaining work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 1.0\nn2 = 7.0\nn3 = 2.0\nn4 = 18.0\nt0 = n0 / n4\nt1 = n1 / n2\nt2 = n2 - 1.0\nt3 = t2 / n2\nt4 = t1 / t3\nt5 = t4 / n3\nanswer = t0 / t5\nprint(answer)" + ], + "Output Answer": [ + "20.000000000000004" + ], + "split": "train" + }, + { + "Input": "30 men can do a work in 40 days . when should 15 men leave the work so that the entire work is completed in 40 days after they leave the work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 15.0\nn3 = 40.0\nt0 = n0 * n1\nt1 = n1 * n2\nt2 = t0 - t1\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "when tom works alone he chops 2 lb . salad in 3 minutes , and when tammy works alone she chops 3 lb . salad in 2 minutes . they start working together , and after some time finish chopping 65 lb . of salad . of those 80 lb . , the salad quantity chopped by tammy is what percent greater than the quantifying chopped by tom ? .", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 3.0\nn3 = 2.0\nn4 = 65.0\nn5 = 80.0\nt0 = n1 / n0\nt1 = n0 / n1\nt2 = t0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "125.00000000000003" + ], + "split": "train" + }, + { + "Input": "john can type a set of pages in 5 hours at a constant rate . if john types for 3 hours and jack does the rest of the job , who works at 2 / 5 constant rate of john . how long will it take for jack alone to do the rest of the job ?", + "Output Program": [ + "n0 = 5.0\nn1 = 3.0\nn2 = 2.0\nn3 = 5.0\nt0 = n2 / n0\nt1 = n1 / n0\nt2 = 1 / n0\nt3 = t0 * 1.0\nt4 = 1.0 - t1\nt5 = t2 * t4\nanswer = t3 / t5\nprint(answer)" + ], + "Output Answer": [ + "4.999999999999999" + ], + "split": "train" + }, + { + "Input": "two persons a and b can complete a piece of work in 15 days and 30 days respectively . if they work together , what part of the work will be completed in 5 days ?", + "Output Program": [ + "n0 = 15.0\nn1 = 30.0\nn2 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "water boils at 212 \u00b0 f or 100 \u00b0 c and ice melts at 32 \u00b0 f or 0 \u00b0 c . if the temperature of a pot of water is 40 \u00b0 c , what is the temperature of the pot of water in \u00b0 f ?", + "Output Program": [ + "n0 = 212.0\nn1 = 100.0\nn2 = 32.0\nn3 = 0.0\nn4 = 40.0\nt0 = n0 - n2\nt1 = t0 / n1\nt2 = n4 * t1\nanswer = n2 + t2\nprint(answer)" + ], + "Output Answer": [ + "104" + ], + "split": "train" + }, + { + "Input": "if the wheel is 18 cm then the number of revolutions to cover a distance of 1056 cm is ?", + "Output Program": [ + "n0 = 18.0\nn1 = 1056.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "9.341825902335456" + ], + "split": "train" + }, + { + "Input": "a car takes 6 hours to cover a distance of 144 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 144.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "how long will it take a train travelling at 78 kmph to pass an electric pole if the train is 110 meters in lenght ?", + "Output Program": [ + "n0 = 78.0\nn1 = 110.0\nt0 = n1 / 1000.0\nt1 = t0 / n0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "5.0769230769230775" + ], + "split": "train" + }, + { + "Input": "if a car went the first third of the distance at 80 kmh , the second third at 24 kmh , and the last third at 54 kmh , what was the average speed of the car for the entire trip ?", + "Output Program": [ + "n0 = 80.0\nn1 = 24.0\nn2 = 54.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 3.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "41.27388535031847" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 100 meters long take to cross a bridge 200 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 200.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "29.997600191984642" + ], + "split": "train" + }, + { + "Input": "x can finish a work in 36 days . y can finish the same work in 24 days . y worked for 12 days and left the job . how many days does x alone need to finish the remaining work ?", + "Output Program": [ + "n0 = 36.0\nn1 = 24.0\nn2 = 12.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = n2 * t0\nt3 = 1.0 - t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "two cars started at the same time , from the same point , driving along the same road . the rate of the first car is 50 mph and the rate of the second car is 60 mph . how long will it take for the distance between the two cars to be 30 miles ?", + "Output Program": [ + "n0 = 50.0\nn1 = 60.0\nn2 = 30.0\nt0 = n1 - n0\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a train 240 m long passes a pole in 24 seconds . how long will it take to pass a platform 650 m long ?", + "Output Program": [ + "n0 = 240.0\nn1 = 24.0\nn2 = 650.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "89" + ], + "split": "train" + }, + { + "Input": "a contractor is engaged for 30 days on the condition thathe receives rs . 25 for each day he works & is fined rs . 7.50 for each day is absent . he gets rs . 360 in all . for how many days was he absent ?", + "Output Program": [ + "n0 = 30.0\nn1 = 25.0\nn2 = 7.5\nn3 = 360.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = n3 + t1\nt3 = t2 / t0\nanswer = n0 - t3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "350 metres long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees", + "Output Program": [ + "n0 = 350.0\nn1 = 26.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "one tap , working alone at its maximum constant rate , can fill a certain sink in 287 seconds . a second tap , working alone at its maximum constant rate , can fill the same sink in 283 seconds . if both taps work together at their respective maximum constant rates , the time it will take to fill the sink is closest to", + "Output Program": [ + "n0 = 287.0\nn1 = 283.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "142.49298245614034" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 240 km / hr crosses a pole in 21 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 240.0\nn1 = 21.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "1400" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 150 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 150.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "train" + }, + { + "Input": "if length of a room is three times of its breadth and its area is 12 sq . m . what is perimeter of room ?", + "Output Program": [ + "import math\nn0 = 12.0\nt0 = n0 / 3.0\nt1 = math.sqrt(max(0, t0))\nt2 = t1 * 3.0\nanswer = 2 * (t2 + t1) # perimetere of rectangle\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 4 hours . due to a leak at the bottom , it takes 6 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a 140 m long train is running at a speed of 55 km / hr . it crossed a platform of length 520 m in ?", + "Output Program": [ + "n0 = 140.0\nn1 = 55.0\nn2 = 520.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "43.196544276457885" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 135 m long and traveling at 45 km / hr can cross in 30 sec is ?", + "Output Program": [ + "n0 = 135.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "johnny makes $ 8.25 per hour at his work . if he works 2 hours , how much money will he earn ?", + "Output Program": [ + "n0 = 8.25\nn1 = 2.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "16.5" + ], + "split": "train" + }, + { + "Input": "12 buckets of water fill a tank when the capacity of each bucket is 55 litres . how many buckets will be needed to fill the same tank , if the capacity of each bucket is 5 litres ?", + "Output Program": [ + "n0 = 12.0\nn1 = 55.0\nn2 = 5.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "132" + ], + "split": "train" + }, + { + "Input": "yesterday i noticed that in my clock , there is time when the hour needle and the minute needle are exactly between 1 and 2 . also both the needles lie on top of each other . what time i and talking about ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nt0 = n0 * 10.0\nanswer = n1 + t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "john can complete a given task in 20 days . jane will take only 12 days to complete the same task . john and jane set out to complete the task by beginning to work together . however , jane was indisposed 4 days before the work got over . in how many days did the work get over from the time john and jane started to work on it together ?", + "Output Program": [ + "n0 = 20.0\nn1 = 12.0\nn2 = 4.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = n1 * n2\nt3 = t1 - t2\nt4 = t3 / t0\nanswer = n2 + t4\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "at a loading dock , each worker on the night crew loaded 3 / 4 as many boxes as each worker on the day crew . if the night crew has 5 / 6 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 5.0\nn3 = 6.0\nt0 = n1 * n3\nt1 = n0 * n2\nt2 = t0 + t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.6153846153846154" + ], + "split": "train" + }, + { + "Input": "the average speed of a car decreased by 3 miles per hour every successive 8 - minutes interval . if the car traveled 4.4 miles in the fifth 8 - minute interval , what was the average speed of the car , in miles per hour , in the first 8 minute interval ?", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 4.4\nn3 = 8.0\nn4 = 8.0\nt0 = n1 / 60.0\nt1 = n2 / t0\nt2 = n0 + t1\nt3 = n0 + t2\nt4 = n0 + t3\nanswer = n0 + t4\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 22 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 189 km downstream", + "Output Program": [ + "n0 = 22.0\nn1 = 5.0\nn2 = 189.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "if there are 26 laborers in a crew , and on a certain day , 10 were present . calculate the percentage that showed up for work ? ( round to the nearest tenth ) .", + "Output Program": [ + "n0 = 26.0\nn1 = 10.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "38.46153846153846" + ], + "split": "train" + }, + { + "Input": "cole drove from home to work at an average speed of 70 kmh . he then returned home at an average speed of 105 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ?", + "Output Program": [ + "n0 = 70.0\nn1 = 105.0\nn2 = 2.0\nt0 = n0 + n1\nt1 = n1 * n2\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 15 cm .", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 15.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "285" + ], + "split": "train" + }, + { + "Input": "jose is uploading a file to the internet for a college project . the file weighs 160 megabytes . if jose ' s internet speed for uploading tops 8 megabytes per minute , how long will it take until the upload is completed ?", + "Output Program": [ + "n0 = 160.0\nn1 = 8.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two friends decide to get together ; so they start riding bikes towards each other . they plan to meet halfway . each is riding at 6 mph . they live 36 miles apart . one of them has a pet carrier pigeon and it starts flying the instant the friends start traveling . the pigeon flies back and forth at 40 mph between the 2 friends until the friends meet . how many miles does the pigeon travel ?", + "Output Program": [ + "n0 = 6.0\nn1 = 36.0\nn2 = 40.0\nn3 = 2.0\nt0 = n1 / n3\nt1 = t0 / n0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "town m town n town o town p town q town r ; town a town b town c town d town e town f in the table above , what is the least number of table entries that are needed to show the mileage between each town and each of the other 5 towns ?", + "Output Program": [ + "n0 = 5.0\nt0 = 2.0 * 3.0\nt1 = n0 * t0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "what is the greatest of 3 consecutive integers whose sum is 33 ?", + "Output Program": [ + "n0 = 3.0\nn1 = 33.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 30 days to complete the same work . then q alone can do it in", + "Output Program": [ + "n0 = 10.0\nn1 = 30.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = t2 / 2.0\nt4 = t3 - t1\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a truck covers a distance of 240 km at a certain speed in 8 hours . how much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 0 km more than that travelled by the truck ?", + "Output Program": [ + "n0 = 240.0\nn1 = 8.0\nn2 = 18.0\nn3 = 0.0\nt0 = n0 + n3\nt1 = n0 / n1\nt2 = n2 + t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "two good train each 500 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one .", + "Output Program": [ + "n0 = 500.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = 1 / t1\nt3 = n0 * t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "47.99616030717543" + ], + "split": "train" + }, + { + "Input": "what distance will be covered by a bus moving at 90 kmph in 20 seconds ?", + "Output Program": [ + "n0 = 90.0\nn1 = 20.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "500.03999999999996" + ], + "split": "train" + }, + { + "Input": "in traveling from a dormitory to a certain city , a student went 1 / 2 of the way by foot , 1 / 4 of the way by bus , and the remaining 6 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 1.0\nn3 = 4.0\nn4 = 6.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 + t1\nt3 = n0 - t2\nt4 = 1 / t3\nanswer = n4 * t4\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 80 km in the first hour and 60 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 80.0\nn1 = 60.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "in a garden , 26 trees are planted at equal distances along a yard 400 metres long , one tree being at each end of the yard . what is the distance between two consecutive trees ?", + "Output Program": [ + "n0 = 26.0\nn1 = 400.0\nt0 = n0 - 1.0\nanswer = n1 / t0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "36 men can complete a piece of work in 18 days . in how many days will 108 men complete the same work ?", + "Output Program": [ + "n0 = 36.0\nn1 = 18.0\nn2 = 108.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "two trains start simultaneously from opposite ends of a 150 - km route and travel toward each other on parallel tracks . train x , traveling at a constant rate , completes the 150 - km trip in 4 hours . train y , travelling at a constant rate , completes the 150 - km trip in 3.5 hours . how many kilometers had train x traveled when it met train y ?", + "Output Program": [ + "n0 = 150.0\nn1 = 150.0\nn2 = 4.0\nn3 = 150.0\nn4 = 3.5\nt0 = n0 / n2\nt1 = n0 / n4\nt2 = t0 + t1\nt3 = n0 / t2\nanswer = t0 * t3\nprint(answer)" + ], + "Output Answer": [ + "69.99999999999999" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 2 hours ; b and c together can do it in 3 hours , while a and c together can do it in 2 hours . how long will b alone take to do it ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "an automotive test consisted of driving a car the same distance 3 separate times , first at an average rate of 4 miles per hour , then 5 miles per hour , then 6 miles per hour . if the test took 37 hours to complete , how many miles was the car driven during the entire test ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 5.0\nn3 = 6.0\nn4 = 37.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n3\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = n4 / t4\nanswer = t5 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "a can do a work in 12 days . b can do the same work in 24 days . if both a & b are working together in how many days they will finish the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 24.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a tank is 25 m long 12 m wide and 6 m deep . the cost of plastering its walls and bottom at 70 paise per sq m is", + "Output Program": [ + "n0 = 25.0\nn1 = 12.0\nn2 = 6.0\nn3 = 70.0\nt0 = n3 / 100.0\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 * n1\nt4 = t1 * 2.0\nt5 = t2 * 2.0\nt6 = t4 + t5\nt7 = t6 + t3\nanswer = t7 * t0\nprint(answer)" + ], + "Output Answer": [ + "520.8" + ], + "split": "train" + }, + { + "Input": "a can finish a work in 8 days and b can do same work in half the time taken by a . then working together , what part of same work they can finish in a day ?", + "Output Program": [ + "n0 = 8.0\nt0 = 1.0 / n0\nt1 = t0 * 2.0\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "0.375" + ], + "split": "train" + }, + { + "Input": "donovan and michael are racing around a circular 500 - meter track . if donovan runs each lap in 45 seconds and michael runs each lap in 40 seconds , how many laps will michael have to complete in order to pass donovan , assuming they start at the same time ?", + "Output Program": [ + "n0 = 500.0\nn1 = 45.0\nn2 = 40.0\nt0 = n0 / n2\nt1 = n0 / n1\nt2 = t0 - t1\nt3 = n0 / t2\nanswer = t3 / n2\nprint(answer)" + ], + "Output Answer": [ + "8.999999999999996" + ], + "split": "train" + }, + { + "Input": "if m = | | n \u2013 3 | \u2013 2 | , for how many values of n is m = 6 ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 6.0\nt0 = n1 + n2\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 18 kmph , find the speed of the stream ?", + "Output Program": [ + "n0 = 18.0\nt0 = n0 * 2.0\nt1 = t0 / 3.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "63 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?", + "Output Program": [ + "n0 = 63.0\nn1 = 8.0\nn2 = 30.0\nn3 = 50.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n3 * t1\nt3 = t2 / n4\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "77" + ], + "split": "train" + }, + { + "Input": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 48 kmph , find the speed of the stream ?", + "Output Program": [ + "n0 = 48.0\nt0 = n0 * 2.0\nt1 = t0 / 3.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "venus travels around the sun at a speed of approximately 21.9 miles per second . the approximate speed is how many miles per hour ?", + "Output Program": [ + "n0 = 21.9\n\nanswer = n0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "78840" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 8 days . b and c can do it in 12 days and a and c in 16 days . working together they will complete the work in how many days ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 16.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = t4 / 2.0\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "7.384615384615385" + ], + "split": "train" + }, + { + "Input": "a man can do a piece of work in 6 days , but with the help of his son , he can do it in 3 days . in what time can the son do it alone ?", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a flagstaff 17.5 m high casts a shadow of length 40.25 m . what will be the height of a building , which casts a shadow of length 28.75 m under similar conditions ? \u2003", + "Output Program": [ + "n0 = 17.5\nn1 = 40.25\nn2 = 28.75\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "12.5" + ], + "split": "train" + }, + { + "Input": "machine z takes 2 more hours than machine b to make 20 widgets . if working together , the machines can make 25 widgets in 3 hours , how long will it take machine z to make 40 widgets ?", + "Output Program": [ + "n0 = 2.0\nn1 = 20.0\nn2 = 25.0\nn3 = 3.0\nn4 = 40.0\nt0 = n4 / n1\nt1 = n0 * n3\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "if 20 typists can type 42 letters in 20 minutes , then how many letters will 30 typists working at the same rate complete in 1 hour ?", + "Output Program": [ + "n0 = 20.0\nn1 = 42.0\nn2 = 20.0\nn3 = 30.0\nn4 = 1.0\nt0 = n1 * 3.0\nt1 = t0 / n0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "189" + ], + "split": "train" + }, + { + "Input": "a certain electric - company plan offers customers reduced rates for electricity used between 8 p . m . and 8 a . m . weekdays and 24 hours a day saturdays and sundays . under this plan , the reduced rates q apply to what fraction of a week ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 24.0\nt0 = 2.0 + 3.0\nt1 = 3.0 + 4.0\nt2 = n2 / 2.0\nt3 = n2 * 2.0\nt4 = t0 * t2\nt5 = n2 * t1\nt6 = t4 + t3\nanswer = t6 / t5\nprint(answer)" + ], + "Output Answer": [ + "0.6428571428571429" + ], + "split": "train" + }, + { + "Input": "a train 110 m long is running with a speed of 50 km / h . in how many seconds will the train pass a man who is running at 5 km / h in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 50.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = t0 / 3.6\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "7.2" + ], + "split": "train" + }, + { + "Input": "if two - third of a bucket is filled in 100 seconds then the time taken to fill the bucket completely will be .", + "Output Program": [ + "n0 = 100.0\nt0 = n0 / 2.0\nanswer = t0 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "it takes joey the postman 1 hours to run a 2 mile long route every day . he delivers packages and then returns to the post office along the same path . if the average speed of the round trip is 3 mile / hour , what is the speed with which joey returns ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 3.0\nt0 = n1 * 2.0\nt1 = t0 / n2\nt2 = t1 - n0\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.000000000000002" + ], + "split": "train" + }, + { + "Input": "a , b , c can do a piece of work in 11 days , 20 days and 55 days respectively , working alone . how soon can the work be done if a is assisted by b and c on alternate days ?", + "Output Program": [ + "n0 = 11.0\nn1 = 20.0\nn2 = 55.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t0 + t2\nt5 = t3 + t4\nanswer = 2.0 / t5\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a group of men decided to do a work in 8 days , but 3 of them became absent . if the rest of the group did the work in 10 days , find the original number of men ?", + "Output Program": [ + "n0 = 8.0\nn1 = 3.0\nn2 = 10.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "if the perimeter of a rectangular garden is 900 m , its length when its breadth is 190 m is ?", + "Output Program": [ + "n0 = 900.0\nn1 = 190.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "260" + ], + "split": "train" + }, + { + "Input": "brenda and sally run in opposite direction on a circular track , starting at diametrically opposite points . they first meet after brenda has run 100 meters . they next meet after sally has run 200 meters past their first meeting point . each girl runs at a constant speed . what is the length of the track in meters ?", + "Output Program": [ + "n0 = 100.0\nn1 = 200.0\nt0 = n0 * 2.0\nanswer = n1 + t0\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 15 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 15.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "250.00000000000003" + ], + "split": "train" + }, + { + "Input": "fred and sam are standing 40 miles apart and they start walking in a straight line toward each other at the same time . if fred walks at a constant speed of 4 miles per hour and sam walks at a constant speed of 4 miles per hour , how many miles has sam walked when they meet ?", + "Output Program": [ + "n0 = 40.0\nn1 = 4.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "if 25 men do a work in 96 days , in how many days will 40 men do it ?", + "Output Program": [ + "n0 = 25.0\nn1 = 96.0\nn2 = 40.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a man travelled a distance of 80 km in 7 hours partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km per hour . find the distance travelled on foot .", + "Output Program": [ + "n0 = 80.0\nn1 = 7.0\nn2 = 8.0\nn3 = 16.0\nt0 = n1 * n3\nanswer = t0 - n0\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a train passes a platform in 25 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is", + "Output Program": [ + "n0 = 25.0\nn1 = 20.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "75.006" + ], + "split": "train" + }, + { + "Input": "a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 3.5 liters per minute . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours . the capacity of the tank is ?", + "Output Program": [ + "n0 = 6.0\nn1 = 3.5\nn2 = 8.0\nt0 = n2 * 60.0\nt1 = n0 * 60.0\nt2 = t0 / t1\nt3 = n1 * t0\nt4 = t2 - 1.0\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "5040.000000000001" + ], + "split": "train" + }, + { + "Input": "a can finish a work in 6 days and b can do same work in half the time taken by a . then working together , what part of same work they can finish in a day ?", + "Output Program": [ + "n0 = 6.0\nt0 = 1.0 / n0\nt1 = t0 * 2.0\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "a car averages 35 miles per hour for the first 4 hours of a trip and averages 53 miles per hour for each additional hour of travel time . if the average speed for the entire trip is 50 miles per hour , how many hours long is the trip ?", + "Output Program": [ + "n0 = 35.0\nn1 = 4.0\nn2 = 53.0\nn3 = 50.0\nt0 = n1 * n3\nt1 = n0 * n1\nt2 = n2 - n3\nt3 = t0 - t1\nt4 = t3 / t2\nanswer = n1 + t4\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "8 men , working 9 hours a day can complete a work in 24 days . how many hours a day must 12 men work to complete the same work in 16 days ?", + "Output Program": [ + "n0 = 8.0\nn1 = 9.0\nn2 = 24.0\nn3 = 12.0\nn4 = 16.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 24 kmph . what is the speed of the stream if the boat can cover 64 km downstream or 32 km upstream in the same time ?", + "Output Program": [ + "n0 = 24.0\nn1 = 64.0\nn2 = 32.0\nt0 = 1.0 + 2.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "ajay can ride 50 km in 1 hour . in how many hours he can ride 500 km ?", + "Output Program": [ + "n0 = 50.0\nn1 = 1.0\nn2 = 500.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a leak in the bottom of a tank can empty the full tank in 4 hours . an inlet pipe fills water at the rate of 6 litres a minute . when the tank is full , the inlet is opened and due to the leak , the tank is empty in 12 hours . how many litres does the cistern hold ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 12.0\nt0 = n2 * 60.0\nt1 = n0 * 60.0\nt2 = t0 / t1\nt3 = n1 * t0\nt4 = t2 - 1.0\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "2160" + ], + "split": "train" + }, + { + "Input": "a can run 224 metre in 28 seconds and b in 32 seconds . by what distance a beat b ?", + "Output Program": [ + "n0 = 224.0\nn1 = 28.0\nn2 = 32.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "a can do a work in 15 days and b in 20 days . if they work on it together for 8 days , then the fraction of the work that is left is", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 8.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.06666666666666665" + ], + "split": "train" + }, + { + "Input": "a boat takes 38 hours for travelling downstream from point a to point b and coming back to point c midway between a and b . if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph , what is the distance between a and b ?", + "Output Program": [ + "n0 = 38.0\nn1 = 4.0\nn2 = 14.0\nt0 = n1 + n2\nt1 = n2 - n1\nt2 = 1.0 / t0\nt3 = t1 * 2.0\nt4 = 1.0 / t3\nt5 = t2 + t4\nanswer = n0 / t5\nprint(answer)" + ], + "Output Answer": [ + "360" + ], + "split": "train" + }, + { + "Input": "30 buckets of water fill a tank when the capacity of each bucket is 13.5 litres . how many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres ?", + "Output Program": [ + "n0 = 30.0\nn1 = 13.5\nn2 = 9.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "a man walks at a rate of 10 mph . after every ten miles , he rests for 8 minutes . how much time does he take to walk 50 miles ?", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nn2 = 50.0\nt0 = n2 / n0\nt1 = n1 * 4.0\nt2 = t0 * 60.0\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "332" + ], + "split": "train" + }, + { + "Input": "roja and pooja start moving in the opposite directions from a pole . they are moving at the speeds of 6 km / hr and 3 km / hr respectively . after 4 hours what will be the distance between them ?", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nn2 = 4.0\nt0 = n0 + n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "an engineer undertakes a project to build a road 10 km long in 150 days and employs 30 men for the purpose . after 50 days , he finds only 2 km of the road has been completed . find the ( approximate ) number of extra men he must employ to finish the work in time .", + "Output Program": [ + "n0 = 10.0\nn1 = 150.0\nn2 = 30.0\nn3 = 50.0\nn4 = 2.0\nt0 = n0 - n4\nt1 = n1 - n3\nt2 = n2 * t0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t4 / t3\nanswer = t5 - n2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s . if the circumference of the circle is 675 meters , after what time will they meet at the starting point ?", + "Output Program": [ + "n0 = 7.0\nn1 = 8.0\nn2 = 675.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "a and b can finish a work in 12 days while a alone can do the same work in 20 days . in how many days b alone will complete the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "30.000000000000007" + ], + "split": "train" + }, + { + "Input": "on a trip covering 850 km , a bicyclist travels the first 400 km at 20 km per hour and the remainder of the distance at 15 km per hour . what is the average speed , in km per hour , for the entire trip ?", + "Output Program": [ + "n0 = 850.0\nn1 = 400.0\nn2 = 20.0\nn3 = 15.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 / n3\nt3 = t0 + t2\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "working alone , sawyer finishes cleaning half the house in a third of the time it takes nick to clean the entire house alone . sawyer alone cleans the entire house in 6 hours . how many hours will it take nick and sawyer to clean the entire house if they work together ?", + "Output Program": [ + "n0 = 6.0\nt0 = 1.0 / n0\nt1 = n0 / 2.0\nt2 = t1 * 3.0\nt3 = 1.0 / t2\nt4 = t0 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "3.5999999999999996" + ], + "split": "train" + }, + { + "Input": "tom and linda stand at point a . linda begins to walk in a straight line away from tom at a constant rate of 4 miles per hour . one hour later , tom begins to jog in a straight line in the exact opposite direction at a constant rate of 9 miles per hour . if both tom and linda travel indefinitely , what is the positive difference , in minutes , between the amount of time it takes tom to cover half of the distance that linda has covered and the amount of time it takes tom to cover twice the distance that linda has covered ?", + "Output Program": [ + "n0 = 4.0\nn1 = 9.0\nt0 = 2.0 * 2.0\nt1 = n0 * 2.0\nt2 = n1 - n0\nt3 = 2.0 / t2\nt4 = n1 - t1\nt5 = t0 / t4\nt6 = t5 - t3\nanswer = t6 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "216" + ], + "split": "train" + }, + { + "Input": "p is able to do a piece of work in 15 days and q can do the same work in 20 days . if they can work together for 4 days , what is the fraction of work left ?", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 4.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.5333333333333333" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a train is 50 kmph and including stoppages it is 30 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 50.0\nn1 = 30.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a 230 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?", + "Output Program": [ + "n0 = 230.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "270.03999999999996" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 100 metres long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 100.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "275" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 90 km / hr crosses a pole in 9 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 90.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a train is 45 kmph and including stoppages it is 36 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 45.0\nn1 = 36.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "working at their respective constant rates , machine a makes 100 copies in 20 minutes and machine b makes 150 copies in 10 minutes . if these machines work simultaneously at their respective rates for 30 minutes , what is the total number of copies that they will produce ?", + "Output Program": [ + "n0 = 100.0\nn1 = 20.0\nn2 = 150.0\nn3 = 10.0\nn4 = 30.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 + t1\nanswer = n4 * t2\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 160 kilometers ?", + "Output Program": [ + "n0 = 40.0\nn1 = 160.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "cole drove from home to work at an average speed of 75 kmh . he then returned home at an average speed of 105 kmh . if the round trip took a total of 6 hours , how many minutes did it take cole to drive to work ?", + "Output Program": [ + "n0 = 75.0\nn1 = 105.0\nn2 = 6.0\nt0 = n0 + n1\nt1 = n1 * n2\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "210" + ], + "split": "train" + }, + { + "Input": "if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 40 minutes ?", + "Output Program": [ + "n0 = 15.0\nn1 = 40.0\nt0 = 60.0 / n0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "two trains of length 100 m and 120 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 100.0\nn1 = 120.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "10.999120070394369" + ], + "split": "train" + }, + { + "Input": "robert is travelling on his cycle andhas calculated to reach point a at 2 pm . if he travels at 10 kmph , he will reach there at 12 pm if he travels at 15 kmph . at what speed musthe travel to reach a at 1 pm ?", + "Output Program": [ + "n0 = 2.0\nn1 = 10.0\nn2 = 12.0\nn3 = 15.0\nn4 = 1.0\nt0 = n4 / n1\nt1 = n4 / n3\nt2 = t0 - t1\nt3 = n0 / t2\nt4 = t3 / n1\nt5 = t4 - n4\nanswer = t3 / t5\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000002" + ], + "split": "train" + }, + { + "Input": "sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 252 per week . how much does she earn in dollars per hour ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 252.0\nt0 = n0 * 3.0\nt1 = n1 * 2.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a can run 4 times as fast as b and gives b a start of 66 m . how long should the race course be so that a and b might reach in the same time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 66.0\nt0 = n1 / n0\nt1 = n0 - 1.0\nt2 = t0 / t1\nt3 = n0 * t2\nanswer = n1 + t3\nprint(answer)" + ], + "Output Answer": [ + "88" + ], + "split": "train" + }, + { + "Input": "what is the greatest of 3 consecutive integers whose sum is 36 ?", + "Output Program": [ + "n0 = 3.0\nn1 = 36.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "xavier starts from p towards q at a speed of 60 kmph and after every 12 mins increases his speed by 10 kmph . if the distance between p and q is 60 km , then how much time does he take to cover the distance ?", + "Output Program": [ + "n0 = 60.0\nn1 = 12.0\nn2 = 10.0\nn3 = 60.0\nt0 = n1 + n1\nt1 = n1 + t0\nanswer = n1 + t1\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "two concentric circles form a ring . the inner and outer circumference of the ring are 352 / 7 m and 528 / 7 m respectively . find the width of the ring .", + "Output Program": [ + "n0 = 352.0\nn1 = 7.0\nn2 = 528.0\nn3 = 7.0\nt0 = n2 / n1\nt1 = n0 / n1\nt2 = t0 / 2.0\nt3 = t1 / 2.0\nt4 = t2 / 3.141592653589793\nt5 = t3 / 3.141592653589793\nanswer = t4 - t5\nprint(answer)" + ], + "Output Answer": [ + "4.001609997739084" + ], + "split": "train" + }, + { + "Input": "a certain electric - company plan offers customers reduced rates for electricity used between 8 p . m . and 8 a . m . weekdays and 24 hours a day saturdays and sundays . under this plan , the reduced rates w apply to what fraction of a week ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 24.0\nt0 = 2.0 + 3.0\nt1 = 3.0 + 4.0\nt2 = n2 / 2.0\nt3 = n2 * 2.0\nt4 = t0 * t2\nt5 = n2 * t1\nt6 = t4 + t3\nanswer = t6 / t5\nprint(answer)" + ], + "Output Answer": [ + "0.6428571428571429" + ], + "split": "train" + }, + { + "Input": "the lcm of two numbers is 2310 and hcf is 47 . if one of the numbers is 210 . then what is the other number ?", + "Output Program": [ + "n0 = 2310.0\nn1 = 47.0\nn2 = 210.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "517" + ], + "split": "train" + }, + { + "Input": "fred and sam are standing 35 miles apart and they start walking in a straight line toward each other at the same time . if fred walks at a constant speed of 2 miles per hour and sam walks at a constant speed of 5 miles per hour , how many miles has sam walked when they meet ?", + "Output Program": [ + "n0 = 35.0\nn1 = 2.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a works thrice as much as b . if a takes 60 days less than b to do a work then find the number of days it would take to complete the work if both work together ?", + "Output Program": [ + "n0 = 60.0\nt0 = 3.0 - 1.0\nt1 = n0 / t0\nt2 = 1 / t1\nt3 = t1 * 3.0\nt4 = 1 / t3\nt5 = t4 + t2\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "22.5" + ], + "split": "train" + }, + { + "Input": "calculate the number of urns of water needed to fill a tank of dimensions of 10 x 10 x 5 m to 90 % full , if the volume of the urn is 0.8 m 3 and can only be filled to 80 % .", + "Output Program": [ + "n0 = 10.0\nn1 = 10.0\nn2 = 5.0\nn3 = 90.0\nn4 = 0.8\nn5 = 3.0\nn6 = 80.0\nt0 = n0 * n0\nt1 = n4 * n6\nt2 = t1 / 100.0\nt3 = n2 * t0\nt4 = n3 * t3\nt5 = t4 / 100.0\nanswer = t5 / t2\nprint(answer)" + ], + "Output Answer": [ + "703.125" + ], + "split": "train" + }, + { + "Input": "a tank can be filled by two pipes a and b in 60 minutes and 40 minutes respectively . how many minutes will it take to fill the tank from empty state if b is used for the first half time and then a and b fill it together for the other half .", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nt0 = 4.0 + 4.0\nt1 = n1 * 3.0\nt2 = t1 * 2.0\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a train requires 5 seconds to pass a pole while it requires 25 seconds to cross a stationary train which is 360 mtrs long . find the speed of the train .", + "Output Program": [ + "n0 = 5.0\nn1 = 25.0\nn2 = 360.0\nt0 = n1 - n0\nt1 = n2 / t0\nanswer = t1 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "64.8" + ], + "split": "train" + }, + { + "Input": "a can complete a project in 20 days and b can complete the same project in 20 days . if a and b start working on the project together and a quits 10 days before the project is completed , in how many days will the project be completed ?", + "Output Program": [ + "n0 = 20.0\nn1 = 20.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t1 + t0\nt3 = n2 * t0\nt4 = 1.0 - t3\nt5 = t4 / t2\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a train 120 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train . find the speed of the train .", + "Output Program": [ + "n0 = 120.0\nn1 = 6.0\nn2 = 5.0\nt0 = n1 * 0.2778\nt1 = n0 / t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "66.99424046076315" + ], + "split": "train" + }, + { + "Input": "a 180 meter long train crosses a man standing on the platform in 12 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 180.0\nn1 = 12.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "machine a can put caps on a set of bottles in 8 hours at a constant rate . if machine a does the job for 6 hours and machine b does the rest of the job , which works at 1 / 4 constant rate of machine a . how long will it take for machine b alone to do the rest of the job ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 1.0\nn3 = 4.0\nt0 = n1 / n0\nt1 = 1 / n0\nt2 = 1 / n3\nt3 = t1 * t2\nt4 = 1.0 - t0\nt5 = 1 / t3\nanswer = t5 * t4\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "6 women can do 75 unit of work in 8 days by working 5 hr / day in how many days 4 women do 30 units of work by working 8 hr / day", + "Output Program": [ + "n0 = 6.0\nn1 = 75.0\nn2 = 8.0\nn3 = 5.0\nn4 = 4.0\nn5 = 30.0\nn6 = 8.0\nt0 = n1 / n0\nt1 = t0 / n2\nt2 = t1 / n3\nt3 = n2 * t2\nt4 = n4 * t3\nanswer = n5 / t4\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a train can travel 50 % faster than a car . both start from point a at the same time and reach point b at 75 kms away from a at the same time . on the way , however , the train lost about 12.5 minutes while stopping at the stations . the speed of the car is ?", + "Output Program": [ + "n0 = 50.0\nn1 = 75.0\nn2 = 12.5\nt0 = 1.0 + 4.0\nt1 = n2 * 2.0\nt2 = t1 - 1.0\nt3 = t1 * t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "tom traveled the entire 60 miles trip . if he did the first 12 miles of at a constant rate 24 miles per hour and the remaining trip of at a constant rate 48 miles per hour , what is the his average speed , in miles per hour ?", + "Output Program": [ + "n0 = 60.0\nn1 = 12.0\nn2 = 24.0\nn3 = 48.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = n3 / t1\nt3 = t2 + t0\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "if 20 men can build a wall 66 metres long in 15 days , what length of a similar can be built by 86 men in 8 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 66.0\nn2 = 15.0\nn3 = 86.0\nn4 = 8.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "151.36" + ], + "split": "train" + }, + { + "Input": "two consultants can type up a report in 12.5 hours and edit it in 7.5 hours . if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone , how many r hours will it take if jim types the report and mary edits it immediately after he is done ?", + "Output Program": [ + "n0 = 12.5\nn1 = 7.5\nn2 = 30.0\nn3 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n2\nt2 = 1.0 / n1\nt3 = 1.0 / n3\nt4 = t0 - t1\nt5 = t2 - t3\nt6 = 1 / t4\nt7 = 1 / t5\nanswer = t6 + t7\nprint(answer)" + ], + "Output Answer": [ + "41.42857142857143" + ], + "split": "train" + }, + { + "Input": "amit and ananthu can do a work in 15 days and 45 days respectively . amit started the work and left after 3 days . ananthu took over and completed the work . in how many days was the total work completed ?", + "Output Program": [ + "n0 = 15.0\nn1 = 45.0\nn2 = 3.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 * n2\nt3 = 1.0 - t2\nt4 = t3 / t1\nanswer = t4 + n2\nprint(answer)" + ], + "Output Answer": [ + "39" + ], + "split": "train" + }, + { + "Input": "a work which could be finished in 9 days was finished 3 days earlier after 10 more men joined . the number of men employed was ?", + "Output Program": [ + "n0 = 9.0\nn1 = 3.0\nn2 = 10.0\nt0 = n1 * 2.0\nt1 = n2 * t0\nt2 = n0 - t0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a bicycle wheel has a diameter of 0.66 m . how many complete revolutions does it make in 1 km ?", + "Output Program": [ + "n0 = 0.66\nn1 = 1.0\nt0 = n1 * 1000.0\nt1 = 3.0 * 4.0\nt2 = 2.0 * 4.0\nt3 = t1 + 2.0\nt4 = t2 + 2.0\nt5 = t4**min(2.0, 5)\nt6 = t3 / t5\nt7 = t6 + 3.0\nt8 = n0 * t7\nanswer = t0 / t8\nprint(answer)" + ], + "Output Answer": [ + "482.5323296660876" + ], + "split": "train" + }, + { + "Input": "a trader sells 85 meters of cloth for rs . 8925 at the profit of rs . 10 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 85.0\nn1 = 8925.0\nn2 = 10.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "95" + ], + "split": "train" + }, + { + "Input": "a cistern is filled by a tap in 3 1 / 2 hours . due to leak in the bottom of the cistern , it takes half an hour longer to fill the cistern . if the cistern is full how long will it take the leak to empty it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 1.0\nn2 = 2.0\nt0 = n1 / n2\nt1 = n1 / 4.0\nt2 = n0 + t0\nt3 = 1.0 / t2\nt4 = t3 - t1\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "28.000000000000014" + ], + "split": "train" + }, + { + "Input": "car x began traveling at an average speed of 35 miles per hour . after 72 minutes , car y began traveling at an average speed of 38 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?", + "Output Program": [ + "n0 = 35.0\nn1 = 72.0\nn2 = 38.0\nt0 = n1 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "490" + ], + "split": "train" + }, + { + "Input": "two pipes a and b can separately fill a cistern in 45 minutes and 60 minutes respectively . there is a third pipe in the bottom of the cistern to empty it . if all the three pipes are simultaneously opened , then the cistern is full in 40 minutes . in how much time , the third pipe alone can empty the cistern ?", + "Output Program": [ + "n0 = 45.0\nn1 = 60.0\nn2 = 40.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "a car takes 6 hours to cover a distance of 450 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 450.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "a person started from point a to point b and returned back to a with a speed of 60 kmh . if the distance between a and b is 120 km , calculate the time he travelled", + "Output Program": [ + "n0 = 60.0\nn1 = 120.0\nt0 = n1 * 2.0\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 144 \u00b0 of the circle , what percentage of megatek employees are in manufacturing ?", + "Output Program": [ + "n0 = 144.0\nt0 = 3600.0 / 10.0\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "before leaving home for the town of madison , pete checks a map which shows that madison is 5 inches from his current location , gardensquare . pete arrives in madison 1.5 hours later and drove at an average speed of 60 miles per hour . at what scale , in inches per mile , is the map drawn ?", + "Output Program": [ + "n0 = 5.0\nn1 = 1.5\nn2 = 60.0\nt0 = n1 / n0\nt1 = t0 * n2\nanswer = 1.0 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.05555555555555555" + ], + "split": "train" + }, + { + "Input": "a tank can supply water to a village for 30 days . if a leak at the bottom of the tank drains out 15 liters per day , the supply lasts for 20 days only . for how many days will the supply last if the leak drains out 20 liters per day ?", + "Output Program": [ + "n0 = 30.0\nn1 = 15.0\nn2 = 20.0\nn3 = 20.0\nt0 = n1 * n2\nt1 = n0 - n2\nt2 = t0 / t1\nt3 = n3 + t2\nt4 = n0 * t2\nanswer = t4 / t3\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "how many times in a day , the hands of a clock are shows opposite directions ?", + "Output Program": [ + "t0 = 12.0 * 2.0\nt1 = t0 * 2.0\nt2 = t1 - 4.0\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "a train 125 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train . find the speed of the train ?", + "Output Program": [ + "n0 = 125.0\nn1 = 6.0\nn2 = 5.0\nt0 = n0 / n1\nt1 = t0 / 0.2778\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "69.9940004799616" + ], + "split": "train" + }, + { + "Input": "a garrison of 2000 men has provisions for 54 days . at the end of 21 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ?", + "Output Program": [ + "n0 = 2000.0\nn1 = 54.0\nn2 = 21.0\nn3 = 20.0\nt0 = n0 * n1\nt1 = n0 * n2\nt2 = t0 - t1\nt3 = t2 / n3\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "1300" + ], + "split": "train" + }, + { + "Input": "if the speed of a man is 66 km per hour , then what is the distance traveled by him in 30 seconds ?", + "Output Program": [ + "n0 = 66.0\nn1 = 30.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "550.044" + ], + "split": "train" + }, + { + "Input": "express 5 mps in kmph ?", + "Output Program": [ + "n0 = 5.0\nt0 = n0 / 1000.0\nanswer = t0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 25 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 90 km downstream .", + "Output Program": [ + "n0 = 25.0\nn1 = 5.0\nn2 = 90.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "12 : 6 seconds : : ? : 8 minutes", + "Output Program": [ + "n0 = 12.0\nn1 = 6.0\nn2 = 8.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a car traveled the first quarter of a certain distance at 4 times the speed it traveled the remaining distance . what proportion of the total time traveled , was the time taken to travel the first quarter of the distance ?", + "Output Program": [ + "n0 = 4.0\nt0 = n0 - 1.0\nt1 = n0 * t0\nt2 = t1 + 1.0\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.07692307692307693" + ], + "split": "train" + }, + { + "Input": "a tank can be filled by two pipes a and b in 60 minutes and 40 minutes respectively . how many minutes will it take to fill the tank from empty state if b is used for the first half time and then a and b fill it together for the other half", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nt0 = 4.0 + 4.0\nt1 = n1 * 3.0\nt2 = t1 * 2.0\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "the diameter of a garden roller is 1.4 m and it is 2 m long . how much area will it cover in 4 revolutions ? ( use \u00ef \u20ac = 22 \u00e2 \u0081 \u201e 7 )", + "Output Program": [ + "n0 = 1.4\nn1 = 2.0\nn2 = 4.0\nn3 = 22.0\nn4 = 7.0\nt0 = n0 / n1\nt1 = n3 / n4\nt2 = t1 * n1\nt3 = t0 * t2\nt4 = n1 * t3\nanswer = n2 * t4\nprint(answer)" + ], + "Output Answer": [ + "35.199999999999996" + ], + "split": "train" + }, + { + "Input": "a train crosses a platform of 350 m in 15 sec , same train crosses another platform of length 500 m in 20 sec . then find the length of the train ?", + "Output Program": [ + "n0 = 350.0\nn1 = 15.0\nn2 = 500.0\nn3 = 20.0\nt0 = n1 / 3.0\nt1 = n1 / t0\nt2 = n3 / t0\nt3 = n2 * t1\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a train , 130 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds . the length of the bridge is", + "Output Program": [ + "n0 = 130.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "245.02999999999997" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 900 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", + "Output Program": [ + "n0 = 2.0\nn1 = 1.0\nn2 = 1.0\nn3 = 900.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "what is the maximum number of pieces of birthday cake of size 3 \u201d by 3 \u201d that can be cut from a cake 21 \u201d by 21 \u201d ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 21.0\nn3 = 21.0\nt0 = n2 * n2\nt1 = n0 * n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "49" + ], + "split": "train" + }, + { + "Input": "36 . a 240 m long train crosses a platform of equal length in 27 s . what is the speed of the train in km / h ?", + "Output Program": [ + "n0 = 36.0\nn1 = 240.0\nn2 = 27.0\nt0 = 3600.0 / 1000.0\nt1 = n1 * 2.0\nt2 = t1 / n2\nanswer = t2 * t0\nprint(answer)" + ], + "Output Answer": [ + "64" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 27 minutes is :", + "Output Program": [ + "n0 = 20.0\nn1 = 5.0\nn2 = 27.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "11.25" + ], + "split": "train" + }, + { + "Input": "what is the least number of square tiles required to pave the floor of a room 50 m 00 cm long and 11 m 25 cm broad ?", + "Output Program": [ + "n0 = 50.0\nn1 = 0.0\nn2 = 11.0\nn3 = 25.0\nt0 = n2 * 100.0\nt1 = n0 * 100.0\nt2 = n3**min(2.0, 5)\nt3 = n3 + t0\nt4 = t3 * t1\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "9000" + ], + "split": "train" + }, + { + "Input": "a metal company ' s old machine makes bolts at a constant rate of 100 bolts per hour . the company ' s new machine makes bolts at a constant rate of 150 bolts per hour . if both machines start at the same time and continue making bolts simultaneously , how many minutes will it take the two machines to make a total of 500 bolts ?", + "Output Program": [ + "n0 = 100.0\nn1 = 150.0\nn2 = 500.0\nt0 = n0 / 60.0\nt1 = n1 / 60.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "119.99999999999999" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 6 days , and b can do it in 5 days . if c , who can do the work in 12 days , joins them , how long will they take to complete the work ?", + "Output Program": [ + "n0 = 6.0\nn1 = 5.0\nn2 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "2.2222222222222223" + ], + "split": "train" + }, + { + "Input": "the ratio between the length and the breadth of a rectangular park is 1 : 2 . if a man cycling along the boundary of the park at the speed of 6 km / hr completes one round in 6 min , then the area of the park ( in sq . m ) is ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 6.0\nn3 = 6.0\nt0 = n0 + n1\nt1 = 2.0 * 3.0\nt2 = t1 * 10.0\nt3 = n2 / t2\nt4 = n3 * t3\nt5 = t4 * 1000.0\nt6 = t5 / t0\nt7 = t6 / 2.0\nt8 = n1 * t7\nanswer = t7 * t8 # area of rectangle\nprint(answer)" + ], + "Output Answer": [ + "20000.000000000007" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 15 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 48 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", + "Output Program": [ + "n0 = 15.0\nn1 = 1.0\nn2 = 1.0\nn3 = 48.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "the speed at which a woman can row a boat in still water is 300 kmph . if he rows downstream , where the speed of current is 42 kmph , what time will he take to cover 190 metres ?", + "Output Program": [ + "n0 = 300.0\nn1 = 42.0\nn2 = 190.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "1.9998400127989762" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water in 42 km / hr and the rate of current is 3 km / hr . the distance travelled downstream in 44 minutes is :", + "Output Program": [ + "n0 = 42.0\nn1 = 3.0\nn2 = 44.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "train" + }, + { + "Input": "on a scale of map , 0.6 cm represent 6.6 km . if the distance between the points on the map is 80.5 cm , the actual distance between these points is :", + "Output Program": [ + "n0 = 0.6\nn1 = 6.6\nn2 = 80.5\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "885.5" + ], + "split": "train" + }, + { + "Input": "donovan and michael are racing around a circular 400 - meter track . if donovan runs each lap in 48 seconds and michael runs each lap in 40 seconds , how many laps will michael have to complete in order to pass donovan , assuming they start at the same time ?", + "Output Program": [ + "n0 = 400.0\nn1 = 48.0\nn2 = 40.0\nt0 = n0 / n2\nt1 = n0 / n1\nt2 = t0 - t1\nt3 = n0 / t2\nanswer = t3 / n2\nprint(answer)" + ], + "Output Answer": [ + "6.000000000000002" + ], + "split": "train" + }, + { + "Input": "a cistern 6 m long and 4 m wide contains water up to a breadth of 1 m 25 cm . find the total area of the wet surface .", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "49" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 6 days . b can do it in 6 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ?", + "Output Program": [ + "n0 = 6.0\nn1 = 6.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = n2 * t3\nt5 = t0 - t4\nt6 = t5 / n2\nanswer = t0 / t6\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "if a , b and c together can finish a piece of work in 4 days . a alone in 36 days and b in 18 days , then c alone can do it in ?", + "Output Program": [ + "n0 = 4.0\nn1 = 36.0\nn2 = 18.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 0.25 - t0\nt3 = t2 - t1\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "there is a point p on the circle . a and b started running in two constant different speeds . a in clockwise and b in anti - clockwise . first time 500 m in clockwise from p then 400 anti - clockwise . if b is yet to complete one round , what is the circumference of the circle ?", + "Output Program": [ + "n0 = 500.0\nn1 = 400.0\nt0 = 1.0 * 2.0\nt1 = n0 * t0\nt2 = n1 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "700" + ], + "split": "train" + }, + { + "Input": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 7 meters and a circumference of 8 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?", + "Output Program": [ + "n0 = 7.0\nn1 = 8.0\nn2 = 8.0\nn3 = 10.0\nt0 = n0 / n2\nt1 = n1 / n3\nt2 = t1**min(2.0, 5)\nt3 = t0 * t2\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "56.00000000000001" + ], + "split": "train" + }, + { + "Input": "the speed of a subway train is represented by the equation z = s ^ 2 + 2 s for all situations where 0 \u2264 s \u2264 7 , where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving . in kilometers per hour , how much faster is the subway train moving after 6 seconds than it was moving after 3 seconds ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 0.0\nn3 = 7.0\nn4 = 6.0\nn5 = 3.0\nt0 = n0 * n4\nt1 = n0 * n5\nt2 = n4**min(n0, 5)\nt3 = n5**min(2.0, 5)\nt4 = t0 + t2\nt5 = t1 + t3\nanswer = t4 - t5\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "train" + }, + { + "Input": "a contractor isengaged for 30 days on the condition that he receives rs . 25 for eachday he works & fined rs . 7.50 for each day is absent . he gets rs . 425 in all . for how many days was heabsent ?", + "Output Program": [ + "n0 = 30.0\nn1 = 25.0\nn2 = 7.5\nn3 = 425.0\nt0 = n1 + n2\nt1 = n0 * n1\nt2 = t1 - n3\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a garrison of 2000 men has provisions for 54 days . at the end of 15 days , a reinforcement arrives , and it is now found that the provisions will last only for 30 days more . what is the reinforcement ?", + "Output Program": [ + "n0 = 2000.0\nn1 = 54.0\nn2 = 15.0\nn3 = 30.0\nt0 = n0 * n1\nt1 = n0 * n2\nt2 = t0 - t1\nt3 = t2 / n3\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "28 machines can do a work in 10 days . how many machines are needed to complete the work in 40 days ?", + "Output Program": [ + "n0 = 28.0\nn1 = 10.0\nn2 = 40.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a jogger running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a 120 metres long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?", + "Output Program": [ + "n0 = 9.0\nn1 = 240.0\nn2 = 120.0\nn3 = 45.0\nt0 = n1 + n2\nt1 = n3 - n0\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "35.99712023038157" + ], + "split": "train" + }, + { + "Input": "a woman complete a journey in 15 hours . she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km .", + "Output Program": [ + "n0 = 15.0\nn1 = 21.0\nn2 = 24.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = t1 / t0\nt3 = n1 * t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "336" + ], + "split": "train" + }, + { + "Input": "a student reached his school late by 20 mins by travelling at a speed of 9 kmph . if he had travelled at a speed of 12 kmph , he would have reached his school 20 mins early . what is the distance between house and school ?", + "Output Program": [ + "n0 = 20.0\nn1 = 9.0\nn2 = 12.0\nn3 = 20.0\nt0 = n0 / 60.0\nt1 = n1 * n2\nt2 = n2 - n1\nt3 = t0 + t0\nt4 = t1 / t2\nanswer = t3 * t4\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "nicky and cristina are running a race . since cristina is faster than nicky , she gives him a 48 meter head start . if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ?", + "Output Program": [ + "n0 = 48.0\nn1 = 5.0\nn2 = 3.0\nt0 = n1 - n2\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a walks at 10 kmph and 6 hours after his start , b cycles after him at 20 kmph . how far from the start does b catch up with a ?", + "Output Program": [ + "n0 = 10.0\nn1 = 6.0\nn2 = 20.0\n\nanswer = n1 * n2\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 30 kmph and downstream at 60 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 30.0\nn1 = 60.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "a train crosses a platform of 120 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ?", + "Output Program": [ + "n0 = 120.0\nn1 = 15.0\nn2 = 250.0\nn3 = 20.0\nt0 = n1 / 3.0\nt1 = n1 / t0\nt2 = n3 / t0\nt3 = n2 * t1\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "270" + ], + "split": "train" + }, + { + "Input": "in what time will a train 120 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 120.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.9997600191984644" + ], + "split": "train" + }, + { + "Input": "x can do a piece of work in 40 days . he works at it for 8 days and then y finished it in 32 days . how long will y take to complete the work ?", + "Output Program": [ + "n0 = 40.0\nn1 = 8.0\nn2 = 32.0\nt0 = n1 / n0\nt1 = 1.0 - t0\nt2 = 1 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 8 days . b can do it in 6 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = n2 * t3\nt5 = t0 - t4\nt6 = t5 / n2\nanswer = t0 / t6\nprint(answer)" + ], + "Output Answer": [ + "4.8" + ], + "split": "train" + }, + { + "Input": "the length of a room is 7 m and width is 4.75 m . what is the cost of paying the floor by slabs at the rate of rs . 900 per sq . metre .", + "Output Program": [ + "n0 = 7.0\nn1 = 4.75\nn2 = 900.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "29925" + ], + "split": "train" + }, + { + "Input": "a train 110 m long is running with a speed of 27 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 27.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "11.999040076793857" + ], + "split": "train" + }, + { + "Input": "a , b and c can do a piece of work in 24 days , 30 days and 60 days respectively . they began the work together but c left 4 days before the completion of the work . in how many days was the work completed ?", + "Output Program": [ + "n0 = 24.0\nn1 = 30.0\nn2 = 60.0\nn3 = 4.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = 2.0 * 4.0\nt4 = t1 + t2\nt5 = t0 * t3\nt6 = 1.0 / t5\nt7 = n3 * t4\nt8 = t4 + t6\nt9 = 1.0 - t7\nt10 = t9 / t8\nanswer = n3 + t10\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "what percent of a day is 7 hours ?", + "Output Program": [ + "n0 = 7.0\nt0 = 3.0 * 4.0\nt1 = t0 * 2.0\nt2 = n0 / t1\nanswer = t2 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "29.166666666666668" + ], + "split": "train" + }, + { + "Input": "a river boat leaves silver town and travels upstream to gold town at an average speed of 6 kilometers per hour . it returns by the same route at an average speed of 8 kilometers per hour . what is the average speed for the round - trip in kilometers per hour ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = t1 * 2.0\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "6.857142857142857" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 35 kmph and downstream at 45 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 35.0\nn1 = 45.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a 220 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", + "Output Program": [ + "n0 = 220.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "280.03999999999996" + ], + "split": "train" + }, + { + "Input": "if 80 lamps can be lighted 5 hours per day for 10 days for rs . 21.25 , then the number of lamps which can be lighted 4 hours daily for 30 days for rs . 76.50 , is ?", + "Output Program": [ + "n0 = 80.0\nn1 = 5.0\nn2 = 10.0\nn3 = 21.25\nn4 = 4.0\nn5 = 30.0\nn6 = 76.5\nt0 = n1 * n6\nt1 = n3 * n5\nt2 = n2 * t0\nt3 = n4 * t1\nt4 = n0 * t2\nanswer = t4 / t3\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "a man complete a journey in 30 hours . he travels first half of the journey at the rate of 20 km / hr and second half at the rate of 10 km / hr . find the total journey in km .", + "Output Program": [ + "n0 = 30.0\nn1 = 20.0\nn2 = 10.0\nt0 = n1 + n2\nt1 = n1 * n2\nt2 = n0 * t1\nt3 = t2 / t0\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is traveling at 60 kmph observes that a goods train , traveling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed . ?", + "Output Program": [ + "n0 = 60.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "52" + ], + "split": "train" + }, + { + "Input": "it would take one machine 9 hours to complete a large production order and another machine 8 hours to complete the same order . how many hours would it take both machines , working simultaneously at their respective constant rates , to complete the order ?", + "Output Program": [ + "n0 = 9.0\nn1 = 8.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.235294117647059" + ], + "split": "train" + }, + { + "Input": "a train sets off at 2 : 00 pm at the speed of 70 km / h . another train starts at 3 : 00 pm in the same direction at the rate of 80 km / h . at what time will the second train catch the first train ?", + "Output Program": [ + "n0 = 2.0\nn1 = 0.0\nn2 = 70.0\nn3 = 3.0\nn4 = 0.0\nn5 = 80.0\nt0 = n5 - n2\nt1 = n2 / t0\nanswer = n3 + t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "the height of the wall is 6 times its width and length of the wall is 7 times its height . if the volume of the wall be 6804 cu . m . its width is", + "Output Program": [ + "n0 = 6.0\nn1 = 7.0\nn2 = 6804.0\nt0 = 1.0 / 3.0\nt1 = n0 * n1\nt2 = n0 * t1\nt3 = n2 / t2\nanswer = t3**min(t0, 5)\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 7 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 7.0\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "35.99114857512855" + ], + "split": "train" + }, + { + "Input": "a can copy 50 papers in 10 hrs , while a & b can copy 70 papers in 10 hrs . how many hours are required for b to copy 26 papers ?", + "Output Program": [ + "n0 = 50.0\nn1 = 10.0\nn2 = 70.0\nn3 = 10.0\nn4 = 26.0\nt0 = n1 * n4\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "how many paying stones , each measuring 3 * 2 m are required to pave a rectangular court yard 15 m long and 6 m board ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 15.0\nn3 = 6.0\nt0 = n2 * n3 # area of rectangle\nt1 = n0 * n1 # area of rectangle\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "calculate the time it will take for a train that is 120 meter long to pass a bridge of 160 meter length , if the speed of the train is 40 km / hour ?", + "Output Program": [ + "n0 = 120.0\nn1 = 160.0\nn2 = 40.0\nt0 = n0 + n1\nt1 = n2 / 3.6\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "25.2" + ], + "split": "train" + }, + { + "Input": "a and b can together finish a work in 30 days . they worked together for 20 days and then b left . after another 20 days , a finished the remaining work . in how many days a alone can finish the job ?", + "Output Program": [ + "n0 = 30.0\nn1 = 20.0\nn2 = 20.0\nt0 = n0 * n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 24 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 24.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "187.5" + ], + "split": "train" + }, + { + "Input": "if 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days . compare the daily work done by a man with that of a boy .", + "Output Program": [ + "n0 = 12.0\nn1 = 16.0\nn2 = 5.0\nn3 = 13.0\nn4 = 24.0\nn5 = 4.0\nt0 = n4 * n5\nt1 = n1 * n2\nt2 = n0 * n2\nt3 = n3 * n5\nt4 = t0 - t1\nt5 = t2 - t3\nanswer = t4 / t5\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "if in a race of 100 m , a covers the distance in 20 seconds and b in 25 seconds , then a beats b by :", + "Output Program": [ + "n0 = 100.0\nn1 = 20.0\nn2 = 25.0\nt0 = n2 - n1\nt1 = t0 / n2\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 90 km in the first hour and 30 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 90.0\nn1 = 30.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water in 65 km / hr and the rate of current is 15 km / hr . the distance travelled downstream in 25 minutes is :", + "Output Program": [ + "n0 = 65.0\nn1 = 15.0\nn2 = 25.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "33.333333333333336" + ], + "split": "train" + }, + { + "Input": "two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ?", + "Output Program": [ + "n0 = 16.0\nn1 = 21.0\nn2 = 60.0\nt0 = n1 - n0\nt1 = n2 / t0\nt2 = n0 * t1\nt3 = n1 * t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "444" + ], + "split": "train" + }, + { + "Input": "ram , who is half as efficient as krish , will take 27 days to complete a task if he worked alone . if ram and krish worked together , how long will they take to complete the task ?", + "Output Program": [ + "n0 = 27.0\nt0 = 1.0 / n0\nt1 = n0 / 2.0\nt2 = 1.0 / t1\nt3 = t0 + t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "two persons a and b can complete a piece of work in 40 days and 60 days respectively . if they work together , what part of the work will be completed in 6 days ?", + "Output Program": [ + "n0 = 40.0\nn1 = 60.0\nn2 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "0.25" + ], + "split": "train" + }, + { + "Input": "in what time will a train 135 m long cross an electric pole , it its speed be 140 km / hr ?", + "Output Program": [ + "n0 = 135.0\nn1 = 140.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.4711508793582233" + ], + "split": "train" + }, + { + "Input": "john and lewis leave city a for city b simultaneously at 6 a . m in the morning driving in two cars at speeds of 40 mph and 60 mph respectively . as soon as lewis reaches city b , he returns back to city a along the same route and meets john on the way back . if the distance between the two cities is 240 miles , how far from city a did john and lewis meet ?", + "Output Program": [ + "n0 = 6.0\nn1 = 40.0\nn2 = 60.0\nn3 = 240.0\nt0 = n3 / n2\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "a light flashes every 20 seconds , how many times will it flash in ? of an hour ?", + "Output Program": [ + "n0 = 20.0\n\nanswer = 3600.0 / n0\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "a man goes downstream at 15 kmph , and upstream 8 kmph . the speed of the stream is", + "Output Program": [ + "n0 = 15.0\nn1 = 8.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "3.5" + ], + "split": "train" + }, + { + "Input": "a person walks at a speed of 4 km / hr and runs at a speed of 8 km / hr . how many hours will the person require to cover a distance of 12 km , if the person completes half of the distance by walking and the other half by running ?", + "Output Program": [ + "n0 = 4.0\nn1 = 8.0\nn2 = 12.0\nt0 = n2 / 2.0\nt1 = t0 / n0\nt2 = t0 / n1\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "2.25" + ], + "split": "train" + }, + { + "Input": "a certain number of workers can do a work in 35 days . if there were 10 workers more it could be finished in 10 days less . how many workers are there ?", + "Output Program": [ + "n0 = 35.0\nn1 = 10.0\nn2 = 10.0\nt0 = n0 - n1\nt1 = n1 * t0\nt2 = n0 - t0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 134 m length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 72.0\nn2 = 134.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12.199024078073753" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 90 km / hr crosses a pole in 12 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 90.0\nn1 = 12.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "two cars , car 1 and car 2 move towards each other from e and y respectively with respective speeds of 20 m / s and 15 m / s . after meeting each other car 1 reaches y in 10 seconds . in how many seconds does car 2 reach e starting from y ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 20.0\nn3 = 15.0\nn4 = 1.0\nn5 = 10.0\nn6 = 2.0\nt0 = n2 + n3\nt1 = n2 * n5\nt2 = t1 / n3\nt3 = t0 * t2\nanswer = t3 / n3\nprint(answer)" + ], + "Output Answer": [ + "31.11111111111111" + ], + "split": "train" + }, + { + "Input": "at a loading dock , each worker on the night crew loaded 3 / 4 as many boxes as each worker on the day crew . if the night crew has 3 / 4 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 3.0\nn3 = 4.0\nt0 = n1 * n3\nt1 = n0 * n2\nt2 = t0 + t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.64" + ], + "split": "train" + }, + { + "Input": "a train passes a platform in 35 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is", + "Output Program": [ + "n0 = 35.0\nn1 = 20.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "225.01799999999997" + ], + "split": "train" + }, + { + "Input": "8 identical machines , working alone and at their constant rates , take 6 hours to complete a job lot . how long would it take for 4 such machines to perform the same job ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 4.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 26 kmph and downstream at 30 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 26.0\nn1 = 30.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "walking at 40 % of his usual speed a man takes 24 minutes more to cover a distance . what is his usual time to cover this distance ?", + "Output Program": [ + "n0 = 40.0\nn1 = 24.0\nt0 = n0 / 100.0\nt1 = 1.0 / t0\nt2 = t1 - 1.0\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "the speed of a train is 70 kmph . what is the distance covered by it in 10 minutes ?", + "Output Program": [ + "n0 = 70.0\nn1 = 10.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "11.666666666666666" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 10 km / hr in still water . if the speed of the stream is 8 km / hr , find the time taken by the boat to go 54 km downstream .", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nn2 = 54.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "there is enough provisions for 9600 women in an army camp for 400 days . if there were 4800 men less , how long will the provision last ?", + "Output Program": [ + "n0 = 9600.0\nn1 = 400.0\nn2 = 4800.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "800" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 18 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "walking at 5 / 6 th of its usual speed a cab is 8 mnts late . find its usual time to cover the journey ?", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 8.0\n\nanswer = n0 * n2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 4 days . b and c can do it in 12 days and a and c in 16 days . working together they will complete the work in how many days ?", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nn2 = 16.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = t4 / 2.0\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "5.052631578947369" + ], + "split": "train" + }, + { + "Input": "two numbers n and 16 have lcm = 48 and gcf = 8 . find n .", + "Output Program": [ + "n0 = 16.0\nn1 = 48.0\nn2 = 8.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "in what time will a train 100 meters long cross an electric pole , if its speed is 90 km / hr", + "Output Program": [ + "n0 = 100.0\nn1 = 90.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.9996800255979523" + ], + "split": "train" + }, + { + "Input": "p is 30 % more efficient than q . p can complete a work in 23 days . if p and q work together , how much time will it take to complete the same work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 23.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 + 1.0\nt3 = n1 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "13.000000000000002" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 16 kmph . if he rows downstream , where the speed of current is 4 kmph , what time will he take to cover 100 metres ?", + "Output Program": [ + "n0 = 16.0\nn1 = 4.0\nn2 = 100.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190784" + ], + "split": "train" + }, + { + "Input": "the reciprocal of the hcf and lcm of two are 1 / 12 and 1 / 312 . if one of the number is 24 then other no . is", + "Output Program": [ + "n0 = 1.0\nn1 = 12.0\nn2 = 1.0\nn3 = 312.0\nn4 = 24.0\nt0 = n1 * n3\nanswer = t0 / n4\nprint(answer)" + ], + "Output Answer": [ + "156" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work 20 days . b can do work in 35 days . in how many days they will complete the work together ?", + "Output Program": [ + "n0 = 20.0\nn1 = 35.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "12.727272727272728" + ], + "split": "train" + }, + { + "Input": "tom drives from town w to town b , driving at a constant speed of 60 miles per hour . from town b tom immediately continues to town c . the distance between w and b is twice the distance between b and c . if the average speed of the whole journey was 36 mph , then what is tom ' s speed driving from b to c in miles per hour ?", + "Output Program": [ + "n0 = 60.0\nn1 = 36.0\nt0 = 3.0 / n1\nt1 = 2.0 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a hare and a tortoise have a race along a circle of 100 yards diameter . the tortoise goes in one direction and the hare in the other . the hare starts after the tortoise has covered 1 / 5 of its distance and that too leisurely . the hare and tortoise meet when the hare has covered only 1 / 8 of the distance . by what factor should the hare increase its speed so as to tie the race ?", + "Output Program": [ + "n0 = 100.0\nn1 = 1.0\nn2 = 5.0\nn3 = 1.0\nn4 = 8.0\nt0 = n0 / n2\nt1 = n0 / n4\nt2 = n4 - n1\nt3 = n0 - t0\nt4 = t3 - t1\nt5 = t4 / t1\nanswer = t5 * t2\nprint(answer)" + ], + "Output Answer": [ + "37.800000000000004" + ], + "split": "train" + }, + { + "Input": "if a train , travelling at a speed of 90 kmph , crosses a pole in 5 sec , then the length of train is ?", + "Output Program": [ + "n0 = 90.0\nn1 = 5.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "125.00999999999999" + ], + "split": "train" + }, + { + "Input": "the consumption of diesel per hour of a bus varies directly as square of its speed . when the bus is travelling at 50 kmph its consumption is 1 litre per hour . if each litre costs $ 30 and other expenses per hous is $ 20 , then what would be the minimum expenditure required to cover a distance of 400 km ?", + "Output Program": [ + "n0 = 50.0\nn1 = 1.0\nn2 = 30.0\nn3 = 20.0\nn4 = 400.0\nt0 = n4 / n0\nt1 = n2 * t0\nt2 = n3 * t0\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "a can do a work in 30 days , b can do it in 20 days . they together under took to do a piece of work for rs . 1000 , what is the share of b ?", + "Output Program": [ + "n0 = 30.0\nn1 = 20.0\nn2 = 1000.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "two trains of length 120 m and 210 m are 80 m apart . they start moving towards each other on parallel tracks , at speeds 69 kmph and 82 kmph . after how much time will the trains meet ?", + "Output Program": [ + "n0 = 120.0\nn1 = 210.0\nn2 = 80.0\nn3 = 69.0\nn4 = 82.0\nt0 = n3 + n4\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "1.9071321976361095" + ], + "split": "train" + }, + { + "Input": "a and b can finish a work in 16 days while a alone can do the same work in 24 days . in how many days b alone will complete the work ?", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "47.99999999999999" + ], + "split": "train" + }, + { + "Input": "a can run a kilometer race in 4 1 / 2 min while b can run same race in 5 min . how many meters start can a give b in a kilometer race , so that the race mat end in a dead heat ?", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 2.0\nn3 = 5.0\nt0 = n1 / n2\nt1 = n0 + t0\nt2 = t1 / n3\nt3 = 1.0 - t2\nanswer = t3 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "99.99999999999997" + ], + "split": "train" + }, + { + "Input": "if it takes 70 workers 3 hours to disassemble the exhibition rides at a small amusement park , how many hours would it take 30 workers to do this same job ?", + "Output Program": [ + "n0 = 70.0\nn1 = 3.0\nn2 = 30.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "two cars start from the opposite places of a main road , 150 km apart . first car runs for 25 km and takes a right turn and then runs 15 km . it then turns left and then runs for another 25 km and then takes the direction back to reach the main road . in the mean time , due to minor break down the other car has run only 62 km along the main road . what would be the distance between two cars at this point ?", + "Output Program": [ + "n0 = 150.0\nn1 = 25.0\nn2 = 15.0\nn3 = 25.0\nn4 = 62.0\nt0 = n1 + n1\nt1 = n0 - n4\nanswer = t1 - t0\nprint(answer)" + ], + "Output Answer": [ + "38" + ], + "split": "train" + }, + { + "Input": "a factory produces 8000 toys per week . if the workers at this factory work 4 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?", + "Output Program": [ + "n0 = 8000.0\nn1 = 4.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "2000" + ], + "split": "train" + }, + { + "Input": "in what time will a railway train 120 m long moving at the rate of 36 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 120.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "11.999040076793857" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . find the cost of paying the floor by slabs at the rate of rs . 1400 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 1400.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "28875" + ], + "split": "train" + }, + { + "Input": "a is half good a work man as b and together they finish a job in 10 days . in how many days working alone b finish the job ?", + "Output Program": [ + "n0 = 10.0\nt0 = 3.0 / 2.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "rohit walked 25 m towards south . then he turned to his left and walked 20 m . he then turned to his left and walked 25 m . he again turned to his right and walked 15 m . at what distance is he from the starting point and in which direction ?", + "Output Program": [ + "n0 = 25.0\nn1 = 20.0\nn2 = 25.0\nn3 = 15.0\n\nanswer = n1 + n3\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 72 \u00b0 of the circle , what percentage of megatek employees are in manufacturing ?", + "Output Program": [ + "n0 = 72.0\nt0 = 3600.0 / 10.0\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1.5 cm when a man gets on it . the mass of man is", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 1.5\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "two trains 121 meters and 153 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 121.0\nn1 = 153.0\nn2 = 80.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.802214443534172" + ], + "split": "train" + }, + { + "Input": "a can do a work in 15 days and b in 20 days . if they work on it together for 5 days , then the fraction of the work that is left is :", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.41666666666666663" + ], + "split": "train" + }, + { + "Input": "a man can row a boat at 10 kmph in still water and the speed of the stream is 8 kmph . what is then time taken to row a distance of 90 km down the stream ?", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nn2 = 90.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "in what time will a train 100 meters long cross an electric pole , if its speed is 162 km / hr", + "Output Program": [ + "n0 = 100.0\nn1 = 162.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.222044458665529" + ], + "split": "train" + }, + { + "Input": "a train 550 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 550.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "29.997600191984645" + ], + "split": "train" + }, + { + "Input": "a , b and c can do a work in 90 , 45 and 6 days respectively . if they work together , in how many days will they complete the work ?", + "Output Program": [ + "n0 = 90.0\nn1 = 45.0\nn2 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 25 kmph and downstream at 41 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 25.0\nn1 = 41.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "train" + }, + { + "Input": "the speed of a train is 110 kmph . what is the distance covered by it in 11 minutes ?", + "Output Program": [ + "n0 = 110.0\nn1 = 11.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "20.166666666666664" + ], + "split": "train" + }, + { + "Input": "20 beavers , working together in a constant pace , can build a dam in 3 hours . how many v hours will it take 12 beavers that work at the same pace , to build the same dam ?", + "Output Program": [ + "n0 = 20.0\nn1 = 3.0\nn2 = 12.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "jack and jill work at a hospital with 3 other workers . for an internal review , 2 of the 5 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 2.0\nn2 = 5.0\nt0 = math.factorial(min(15, int(n2)))\nt1 = math.factorial(min(15, int(n1)))\nt2 = math.factorial(min(15, int(n0)))\nt3 = t1 * t2\nt4 = t0 / t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "0.1" + ], + "split": "train" + }, + { + "Input": "a river 2 m deep and 45 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 2.0\nn1 = 45.0\nn2 = 4.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "6000" + ], + "split": "train" + }, + { + "Input": "a person crosses a 600 m long street in 5 minutes , what is his speed in km per hour ?", + "Output Program": [ + "n0 = 600.0\nn1 = 5.0\nt0 = n0 / 1000.0\nt1 = n1 * 60.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.2" + ], + "split": "train" + }, + { + "Input": "the length of a train and that of a platform are equal . if with a speed of 72 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?", + "Output Program": [ + "n0 = 72.0\nt0 = 60.0 / 1.0\nt1 = n0 * 1000.0\nt2 = t1 / t0\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "one hour after yolanda started walking from x to y , a distance of 60 miles , bob started walking along the same road from y to x . if yolanda \u00e2 s walking rate was 5 miles per hour and bob \u00e2 s was 6 miles per hour , how many miles had bob walked when they met ?", + "Output Program": [ + "n0 = 60.0\nn1 = 5.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 - n1\nt2 = t1 / t0\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 37 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 36.0\nn2 = 37.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "370" + ], + "split": "train" + }, + { + "Input": "a water tank which could be filled in 5 hours takes one more hour to be filled as a result of a leak in its bottom . if the tank is full calculate the time it will take for the leak empty it ?", + "Output Program": [ + "n0 = 5.0\nt0 = n0 + 1.0\nt1 = 1.0 / t0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "two trains of length 100 m and 200 m are 70 m apart . they start moving towards each other on parallel tracks , at speeds 54 kmph and 72 kmph . after how much time will the trains meet ?", + "Output Program": [ + "n0 = 100.0\nn1 = 200.0\nn2 = 70.0\nn3 = 54.0\nn4 = 72.0\nt0 = n3 + n4\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "1.999840012798976" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 14 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 14.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "535.7142857142857" + ], + "split": "train" + }, + { + "Input": "a fill pipe can fill 1 / 2 of cistern in 15 minutes . in how many minutes , it can fill 1 / 2 of the cistern ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 15.0\nn3 = 1.0\nn4 = 2.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a train passes a platform in 30 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is", + "Output Program": [ + "n0 = 30.0\nn1 = 20.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "150.012" + ], + "split": "train" + }, + { + "Input": "a 250 meter long train crosses a platform in 40 seconds while it crosses a signal pole in 20 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 250.0\nn1 = 40.0\nn2 = 20.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 kmph and crosses a 350 m long platform in 26 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 350.0\nn2 = 26.0\nt0 = n0 * 0.2778\nt1 = n1 / t0\nt2 = n2 - t1\nanswer = t0 * t2\nprint(answer)" + ], + "Output Answer": [ + "170.0416" + ], + "split": "train" + }, + { + "Input": "the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 3.50 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?", + "Output Program": [ + "import math\nn0 = 3136.0\nn1 = 3.0\nn2 = 3.5\nn3 = 1.0\nt0 = n3 * 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 * 4.0\nt3 = t2 - t0\nt4 = n2 * t3\nanswer = t4 * n1\nprint(answer)" + ], + "Output Answer": [ + "2331" + ], + "split": "train" + }, + { + "Input": "60 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 5 women and 10 children take to complete the work ?", + "Output Program": [ + "n0 = 60.0\nn1 = 7.0\nn2 = 10.0\nn3 = 14.0\nn4 = 5.0\nn5 = 10.0\nt0 = n0 * n1\nt1 = n0 * n3\nt2 = n4 / t0\nt3 = n0 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "how many cubes of 10 cm edge can be put in a cubical box of 1 m edge .", + "Output Program": [ + "n0 = 10.0\nn1 = 1.0\nt0 = n0 / 100.0\nt1 = n1**3\nt2 = t0**3\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "999.9999999999998" + ], + "split": "train" + }, + { + "Input": "the speed of a car increases by 2 kms after every one hour . if the distance travelling in the first one hour was 35 kms . what was the total distance travelled in 12 hours ?", + "Output Program": [ + "n0 = 2.0\nn1 = 35.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = n0 * n1\nt2 = n2 - 1.0\nt3 = n0 * t2\nt4 = t1 + t3\nanswer = t4 * t0\nprint(answer)" + ], + "Output Answer": [ + "552" + ], + "split": "train" + }, + { + "Input": "a and b together can do a piece of work in 10 days . b alone can finish it in 20 days . in how many days can a alone finish the work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "the distance between a & b is 600 km . a person is traveling from a to b at 70 km / hr started at 10 am and another person is traveling from b to a at 80 km / hr and started at same time . then at what time they meet together .", + "Output Program": [ + "n0 = 600.0\nn1 = 70.0\nn2 = 10.0\nn3 = 80.0\nt0 = n1 + n3\nt1 = n2 + t0\nanswer = t1 / n3\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 4 hours to complete the journey . if the distance between city a and city b is 900 kms and city a and city c is 300 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 900.0\nn3 = 300.0\nt0 = n2 / n0\nt1 = n3 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "if 40 honey bees make 40 grams of honey in 40 days , then 1 honey bee will make 1 gram of honey in how many days ?", + "Output Program": [ + "n0 = 40.0\nn1 = 40.0\nn2 = 40.0\nn3 = 1.0\nn4 = 1.0\nt0 = n3 / n0\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a pump can fill a tank with a water in 2 hours . because of a leak , it took 2 and 4 / 5 hours to fill the tank . the leak can drain all the water of the full tank in how many hours ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 4.0\nn3 = 5.0\nt0 = 1.0 / n0\nt1 = n2 / n3\nt2 = n0 + t1\nt3 = 1.0 / t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "the food in a camp lasts for 20 men for 50 days . if 20 more men join , how many days will the food last ?", + "Output Program": [ + "n0 = 20.0\nn1 = 50.0\nn2 = 20.0\nt0 = n0 + n0\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a train 300 m long can cross an electric pole in 30 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 300.0\nn1 = 30.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "courtyard 3.78 meters long 5.95 meters wide is to be paved exactly with square tiles , all of the same size . what is the largest size of the tile which could be used for the purpose ?", + "Output Program": [ + "n0 = 3.78\nn1 = 5.95\nt0 = n0 * n1\nt1 = t0 * 3.0\nanswer = t1 + 10.0\nprint(answer)" + ], + "Output Answer": [ + "77.473" + ], + "split": "train" + }, + { + "Input": "machine a can finish a job in 4 hours , machine \u0432 can finish the job in 2 hours , and machine \u0441 can finish the job in 6 hours . how many hours will it take for a , b , and \u0441 together to finish the job ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 6.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "1.090909090909091" + ], + "split": "train" + }, + { + "Input": "a trader sells 85 meters of cloth for rs . 8925 at the profit of rs . 35 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 85.0\nn1 = 8925.0\nn2 = 35.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 200 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 200.0\nn1 = 150.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "34.997200223982084" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is traveling at 50 kmph observes that a goods train , traveling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed", + "Output Program": [ + "n0 = 50.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "train" + }, + { + "Input": "working at their respective constant rates , machine a makes 100 copies in 12 minutes and machine b makes 150 copies in 15 minutes . if these machines work simultaneously at their respective rates for 30 minutes , what is the total number of copies that they will produce ?", + "Output Program": [ + "n0 = 100.0\nn1 = 12.0\nn2 = 150.0\nn3 = 15.0\nn4 = 30.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 + t1\nanswer = n4 * t2\nprint(answer)" + ], + "Output Answer": [ + "550.0000000000001" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 24.2 cm . what is the distance covered by the wheel in making 500 resolutions ?", + "Output Program": [ + "n0 = 24.2\nn1 = 500.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "760.5714285714286" + ], + "split": "train" + }, + { + "Input": "in what time will a train 90 m long cross an electric pole , it its speed be 72 km / hr ?", + "Output Program": [ + "n0 = 90.0\nn1 = 72.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.499640028797696" + ], + "split": "train" + }, + { + "Input": "a can give b 200 meters start and c 400 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 200.0\nn1 = 400.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 54 kmph and including stoppages , it is 41 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 54.0\nn1 = 41.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "14.444444444444443" + ], + "split": "train" + }, + { + "Input": "a train length 100 m going with speed 10 m / sec another train 150 m long going with speed 15 m / sec . the distance between two train is 50 m . then how much time second train will take to cross the first train ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 150.0\nn3 = 15.0\nn4 = 50.0\nt0 = n0 + n2\nt1 = n3 - n1\nt2 = n4 + t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "one copy machine can make 15 copies a minute , and a second copy machine makes 10 copies a minute . if the two copiers work together , how long would it take them to make 1,000 copies ?", + "Output Program": [ + "n0 = 15.0\nn1 = 10.0\nn2 = 1000.0\nt0 = n0 + n1\nt1 = n1**min(3.0, 5)\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a and b start walking towards each other at 6 pm at speed of 6 kmph and 4 kmph . they were initially 50 km apart . at what time do they meet ?", + "Output Program": [ + "n0 = 6.0\nn1 = 6.0\nn2 = 4.0\nn3 = 50.0\nt0 = n1 + n2\nt1 = n3 / t0\nanswer = n0 + t1\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "water is poured into a tank so that the tank is being filled at the rate of 4 cubic feet per hour . if the empty rectangular tank is 6 feet long , 4 feet wide , and 3 feet deep , approximately how many hours does it take to fill the tank ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 4.0\nn3 = 3.0\nt0 = n3 * n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a trader sells 92 meters of cloth for rs . 9890 at the profit of rs . 24 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 92.0\nn1 = 9890.0\nn2 = 24.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "83.5" + ], + "split": "train" + }, + { + "Input": "a runs 1 \u00be times as fast as b . if a gives b a start of 84 m , bow far must winning post be so that a and b might reach it at the same time ?", + "Output Program": [ + "n0 = 1.0\nn1 = 84.0\nt0 = 3.0 + 4.0\nt1 = t0 / 3.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "196" + ], + "split": "train" + }, + { + "Input": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 51 kmph , find the speed of the stream ?", + "Output Program": [ + "n0 = 51.0\nt0 = n0 * 2.0\nt1 = t0 / 3.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "liam is pulled over for speeding just as he is arriving at work . he explains to the police officer that he could not afford to be late today , and has arrived at work only four minutes before he is to start . the officer explains that if liam had driven 5 mph slower for his whole commute , he would have arrived at work exactly on time . if liam ' s commute is 40 miles long , how fast was he actually driving ? ( assume that liam drove at a constant speed for the duration of his commute . )", + "Output Program": [ + "n0 = 5.0\nn1 = 40.0\nt0 = n0 * 4.0\nanswer = n1 + t0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "along a yard 273 metres long , 14 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between two consecutive trees", + "Output Program": [ + "n0 = 273.0\nn1 = 14.0\nt0 = n1 - 1.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "a searchlight on top of the watchtower makes 4 revolutions per minute . what is the probability that a man appearing near the tower will stay in the dark for at least 5 seconds ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nt0 = n1 * 3.0\nt1 = n1 / t0\nanswer = 1.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "0.6666666666666667" + ], + "split": "train" + }, + { + "Input": "a goods train runs at a speed of 72 kmph and crosses a 270 m long platform in 26 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 270.0\nn2 = 26.0\nt0 = n0 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n1\nprint(answer)" + ], + "Output Answer": [ + "250.04160000000002" + ], + "split": "train" + }, + { + "Input": "ron cycles his way up on a hill side and back . he takes the exact same route both ways . on the trip out he cycles an average speed of 5 miles per hour . on the trip back , downhill cycling at an average speed of 100 miles per hour , he is quick to return back . what is his approximate average speed for the round trip in miles per hour ?", + "Output Program": [ + "n0 = 5.0\nn1 = 100.0\nt0 = n1 * 2.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t2 + t1\nt4 = n0 * t1\nt5 = n1 * t2\nt6 = t4 + t5\nanswer = t6 / t3\nprint(answer)" + ], + "Output Answer": [ + "9.523809523809524" + ], + "split": "train" + }, + { + "Input": "a person takes 10 minutes more to cover a certain distance by decreasing his speed by 20 % . what is the time taken to cover the distance at his original speed ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nt0 = 100.0 - n1\nt1 = t0 / n1\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a jogger running at 9 kmph along side a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?", + "Output Program": [ + "n0 = 9.0\nn1 = 240.0\nn2 = 120.0\nn3 = 45.0\nt0 = n1 + n2\nt1 = n3 - n0\nt2 = t0 / 1000.0\nt3 = t2 / t1\nt4 = t3 * 60.0\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a person x working alone can complete a work in 5 days . a person y completes the same amount of work in 20 days , and a person z when working alone can complete the same amount of work in 30 days . all 3 people work together for 2 days but then x and y leave . how many more days does z need to complete the work after x and y leave ?", + "Output Program": [ + "n0 = 5.0\nn1 = 20.0\nn2 = 30.0\nn3 = 3.0\nn4 = 2.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = n4 * t4\nt6 = 1.0 - t5\nanswer = t6 / t2\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "in what time will a train 200 meters long completely pass an electric pole , if it travels at a speed of 80 kmph .", + "Output Program": [ + "n0 = 200.0\nn1 = 80.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "8.999280057595392" + ], + "split": "train" + }, + { + "Input": "a company organzied a help desk . there have been done 24 hrs work on software , 17 hrs on help user nd 40 % on other services . find the total no . of hrs have been worked on that day ?", + "Output Program": [ + "n0 = 24.0\nn1 = 17.0\nn2 = 40.0\nt0 = 1.0 + 4.0\nt1 = n0 + n1\nt2 = t0 * t1\nanswer = t2 / 3.0\nprint(answer)" + ], + "Output Answer": [ + "68.33333333333333" + ], + "split": "train" + }, + { + "Input": "two pipes p and q can fill a cistern in 10 and 15 minutes respectively . both are opened together , but at the end of 2 minutes the first is turned off . how many more minutes will it take for the cistern to fill after the first pipe is turned off ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 2.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = t2 * n2\nt4 = 1.0 - t3\nanswer = n1 * t4\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is travelling at 20 kmph observes that a goods train , travelling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed ?", + "Output Program": [ + "n0 = 20.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "92" + ], + "split": "train" + }, + { + "Input": "a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 130 m long ?", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 130.0\nt0 = n2 / 1000.0\nt1 = n0 / 1000.0\nt2 = t0 + t1\nt3 = t2 / n1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "39.2" + ], + "split": "train" + }, + { + "Input": "two trains are traveling from point a to point b such that the speed of first train is 65 kmph and the speed of 2 train is 29 kmph . where is the distance b / w a and b such that the slower train reached 5 hrs late compared to the faster ?", + "Output Program": [ + "n0 = 65.0\nn1 = 2.0\nn2 = 29.0\nn3 = 5.0\nt0 = n2 * n3\nt1 = n0 - n2\nt2 = t0 / t1\nt3 = n0 * t2\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "train" + }, + { + "Input": "a man can row 8 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and back . what is the total distance traveled by the man ?", + "Output Program": [ + "n0 = 8.0\nn1 = 1.2\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "7.819999999999999" + ], + "split": "train" + }, + { + "Input": "bombay express left delhi for bombay at 14.30 hrs , travelling at a speed of 60 kmph and rajdhani express left delhi for bombay on the same day at 16.30 hrs , travelling at a speed of 80 kmph . how far away from delhi will the two trains meet ?", + "Output Program": [ + "n0 = 14.3\nn1 = 60.0\nn2 = 16.3\nn3 = 80.0\nt0 = n1 * 2.0\nt1 = n3 - n1\nt2 = t0 / t1\nanswer = n3 * t2\nprint(answer)" + ], + "Output Answer": [ + "480" + ], + "split": "train" + }, + { + "Input": "there are two inlets and one outlet to a cistern . one of the inlets takes 2 hours to fill up the cistern and the other inlet takes twice as much time to fill up the same cistern . both of the inlets are turned on at 9 : 00 am with the cistern completely empty , and at 10 : 00 am , the outlet is turned on and it takes 1 more hour to fill the cistern completely . how much time does the outlet working alone takes to empty the cistern when the cistern is full ?", + "Output Program": [ + "n0 = 2.0\nn1 = 9.0\nn2 = 0.0\nn3 = 10.0\nn4 = 0.0\nn5 = 1.0\nt0 = n0 - n5\nt1 = n1 - t0\nanswer = n3 - t1\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 900 m long ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 120.0\nn2 = 900.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "210" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 420 metre long train take to cross a man running with a speed of 6 km / hr in the direction of the moving train if the speed of the train is 30 km / hr ?", + "Output Program": [ + "n0 = 420.0\nn1 = 6.0\nn2 = 30.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "62.99496040316775" + ], + "split": "train" + }, + { + "Input": "a leak in the bottom of a tank can empty the full tank in 7 hours . an inlet pipe fills water at the rate of 6 litres a minute . when the tank is full , the inlet is opened and due to the leak , the tank is empty in 12 hours . how many litres does the cistern hold ?", + "Output Program": [ + "n0 = 7.0\nn1 = 6.0\nn2 = 12.0\nt0 = n2 * 60.0\nt1 = n0 * 60.0\nt2 = t0 / t1\nt3 = n1 * t0\nt4 = t2 - 1.0\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "6048.000000000001" + ], + "split": "train" + }, + { + "Input": "in a covering a certain distance , the speeds of a and b are in the ratio of 3 : 4 . a takes 30 minutes more than b to reach the destination . the time taken by a to reach the destination is ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 30.0\nt0 = n2 / 60.0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a man complete a journey in 10 hours . he travels first half of the journey at the rate of 20 km / hr and second half at the rate of 20 km / hr . find the total journey in km .", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 20.0\nt0 = n1 + n2\nt1 = n1 * n2\nt2 = n0 * t1\nt3 = t2 / t0\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a train is 42 kmph and including stoppages it is 27 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 42.0\nn1 = 27.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "21.428571428571423" + ], + "split": "train" + }, + { + "Input": "a train is moving at 4 / 5 of its usual speed . the train is 45 minutes too late . what is the usual time ( in hours ) for the train to complete the journey ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 45.0\nt0 = n0 / n1\nt1 = n2 * t0\nt2 = 1.0 - t0\nt3 = 1 / t2\nt4 = t3 * t1\nanswer = t4 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "3.0000000000000004" + ], + "split": "train" + }, + { + "Input": "renu can do a piece of work in 5 days , but with the help of her friend suma , she can do it in 4 days . in what time suma can do it alone ?", + "Output Program": [ + "n0 = 5.0\nn1 = 4.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "20.000000000000004" + ], + "split": "train" + }, + { + "Input": "anna left for city a from city b at 5.20 a . m . she traveled at the speed of 80 km / hr for 2 hrs 15 min . after that the speed was reduced to 60 km / hr . if the distance between two cities is 350 kms , at what time did anna reach city a ?", + "Output Program": [ + "n0 = 5.2\nn1 = 80.0\nn2 = 2.0\nn3 = 15.0\nn4 = 60.0\nn5 = 350.0\nt0 = 3.0 * 3.0\nt1 = n1 * t0\nt2 = t1 / 4.0\nt3 = n5 - t2\nt4 = t3 / n4\nt5 = t4 / n2\nt6 = t5 - 1.0\nt7 = t6 * 60.0\nt8 = t7 / 100.0\nanswer = n4 + t8\nprint(answer)" + ], + "Output Answer": [ + "60.25" + ], + "split": "train" + }, + { + "Input": "working alone at its constant rate , machine a produces x boxes in 5 minutes and working alone at its constant rate , machine b produces 2 x boxes in 10 minutes . how many minutes does it take machines a and b , working simultaneously at their respective constant rates , to produce 3 x boxes ?", + "Output Program": [ + "n0 = 5.0\nn1 = 2.0\nn2 = 10.0\nn3 = 3.0\nt0 = n0 * n3\nt1 = n0 * n1\nt2 = n0 / n0\nt3 = t1 / n2\nt4 = t2 + t3\nanswer = t0 / t4\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "a pipe takes a hours to fill the tank . but because of a leakage it took 7 times of its original time . find the time taken by the leakage to empty the tank", + "Output Program": [ + "n0 = 7.0\nt0 = n0 * 1.0\nanswer = t0 * 10.0\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "natasha climbs up a hill , and descends along the same way she went up . it takes her 3 hours to reach the top and 2 hours to come back down . if her average speed along the whole journey is 3 kilometers per hour , what was her average speed ( in kilometers per hour ) while climbing to the top ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 3.0\nt0 = n0 + n1\nt1 = n2 * t0\nt2 = t1 / n1\nanswer = t2 / n0\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "train" + }, + { + "Input": "stacy and heather are 5 miles apart and walk towards each other along the same route . stacy walks at constant rate that is 1 mile per hour fast than heather ' s constant rate of 5 miles / hour . if heather starts her journey 24 minutes after stacy , how far from the original destination has heather walked when the two meet ? .", + "Output Program": [ + "n0 = 5.0\nn1 = 1.0\nn2 = 5.0\nn3 = 24.0\nt0 = n1 + n2\nt1 = n2 + t0\nt2 = t0 / 60.0\nt3 = n3 * t2\nt4 = n0 - t3\nt5 = t4 / t1\nanswer = n2 * t5\nprint(answer)" + ], + "Output Answer": [ + "1.1818181818181817" + ], + "split": "train" + }, + { + "Input": "a train travels from albany to syracuse , a distance of 120 miles , at the average rate of 50 miles per hour . the train then travels back to albany from syracuse . the total travelling time of the train is 5 hours and 30 minutes . what was the average rate of speed of the train on the return trip to albany ?", + "Output Program": [ + "n0 = 120.0\nn1 = 50.0\nn2 = 5.0\nn3 = 30.0\nt0 = n3 / 60.0\nt1 = n0 / n1\nt2 = n2 + t0\nt3 = t2 - t1\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "38.70967741935484" + ], + "split": "train" + }, + { + "Input": "a train crosses a platform of 180 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ?", + "Output Program": [ + "n0 = 180.0\nn1 = 15.0\nn2 = 250.0\nn3 = 20.0\nt0 = n1 / 3.0\nt1 = n1 / t0\nt2 = n3 / t0\nt3 = n2 * t1\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "two men start together to walk a certain distance , one at 4 kmph and another at 3 kmph . the former arrives half an hour before the latter . find the distance .", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nt0 = n0 * n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a train 110 m long is running with a speed of 80 km / hr . in what time will it pass a man who is running at 8 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 80.0\nn2 = 8.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "4.499640028797696" + ], + "split": "train" + }, + { + "Input": "david completes a piece of work in 5 days , john completes the same work in 9 days . if both of them work together , then the number of days required to complete the work is ?", + "Output Program": [ + "n0 = 5.0\nn1 = 9.0\nt0 = 1 / n1\nt1 = 1 / n0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.2142857142857144" + ], + "split": "train" + }, + { + "Input": "the citizens of planet nigiet are 8 fingered and have thus developed their decimal system in base 8 . a certain street in nigiet contains 1000 buildings numbered 1 to 1000 in base 8 . how many 3 s are used in numbering these buildings ? express your answer in base 10", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 1000.0\nn3 = 1.0\nn4 = 1000.0\nn5 = 8.0\nn6 = 3.0\nn7 = 10.0\nt0 = n0**min(2.0, 5)\nanswer = t0 * n6\nprint(answer)" + ], + "Output Answer": [ + "192" + ], + "split": "train" + }, + { + "Input": "12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 4 days , working 15 hours a day , the number of men required ?", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 10.0\nn3 = 4.0\nn4 = 15.0\nt0 = n0 * n2\nt1 = n3 * n4\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "two watches are set for an alarm at 10 0 ' clock in the night . one watch gains 2 minutes per hour . when the faster watch shows 4 : 12 in the morning when the alarm rings what does the correct watch show ?", + "Output Program": [ + "n0 = 10.0\nn1 = 0.0\nn2 = 2.0\nn3 = 4.0\nn4 = 12.0\nt0 = n3 + n4\nt1 = t0 - n0\nt2 = n2 * t1\nanswer = t0 - t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "kramer can pack 10 boxes of cigarettes per minute . if there are 5 boxes of cigarettes in one case , how many cases can kramer pack in 2 hours ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nn2 = 2.0\nt0 = n2 * 60.0\nt1 = n0 * t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "two numbers n and 12 have lcm = 42 and gcf = 6 . find n .", + "Output Program": [ + "n0 = 12.0\nn1 = 42.0\nn2 = 6.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 145 metres long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 145.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "230" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 72 km / hr crosses a pole in 9 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "in a 100 m race , sam beats john by 4 seconds . on the contrary , if sam allowed john to start 24 m ahead of sam , then sam and john reach the finishing point at the same time . how long does sam take to run the 100 m race ?", + "Output Program": [ + "n0 = 100.0\nn1 = 4.0\nn2 = 24.0\nn3 = 100.0\nt0 = n0 - n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 15 km / hr . if he rows downstream , where the speed of current is 3 km / hr , how many seconds will he take to cover 100 meters ?", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 100.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "19.99840012798976" + ], + "split": "train" + }, + { + "Input": "a biker covered half the distance between two towns in 2 hr 30 min . after that he increased his speed by 2 km / hr . he covered the second half of the distance in 2 hr 20 min . find the distance between the two towns and the initial speed of the biker .", + "Output Program": [ + "n0 = 2.0\nn1 = 30.0\nn2 = 2.0\nn3 = 2.0\nn4 = 20.0\nt0 = n1 / 60.0\nt1 = n4 / 60.0\nt2 = n0 + t0\nt3 = n0 + t1\nt4 = n0 * t3\nt5 = t2 - t3\nt6 = t4 / t5\nt7 = t2 * t6\nanswer = n0 * t7\nprint(answer)" + ], + "Output Answer": [ + "140.00000000000014" + ], + "split": "train" + }, + { + "Input": "a car is running at a speed of 90 kmph . what distance will it cover in 15 second ?", + "Output Program": [ + "n0 = 90.0\nn1 = 15.0\nt0 = n0 / 3.6\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "375" + ], + "split": "train" + }, + { + "Input": "a river boat leaves silver town and travels upstream to gold town at an average speed of 6 kilometers per hour . it returns by the same route at an average speed of 5 kilometers per hour . what is the average speed for the round - trip in kilometers per hour ?", + "Output Program": [ + "n0 = 6.0\nn1 = 5.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = t1 * 2.0\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "5.454545454545454" + ], + "split": "train" + }, + { + "Input": "a cistern is normally filled in 10 hours but takes two hours longer to fill because of a leak in its bottom . if the cistern is full , the leak will empty it in ?", + "Output Program": [ + "n0 = 10.0\nt0 = n0 + 2.0\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t1 - t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "59.999999999999964" + ], + "split": "train" + }, + { + "Input": "a thief is spotted by a policeman from a distance of 160 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ?", + "Output Program": [ + "n0 = 160.0\nn1 = 8.0\nn2 = 10.0\nt0 = n0 * n1\nt1 = n2 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "640" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a train is 42 kmph and including stoppages it is 36 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 42.0\nn1 = 36.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "8.571428571428577" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 4 hours . a and c together can do it in just 2 hours , while b and c together need 3 hours to finish the same work . in how many hours b can complete the work ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 3.0\nt0 = 1 / n2\nt1 = 1 / n1\nt2 = 1 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "train" + }, + { + "Input": "a contractor undertakes to do a job within 100 days and hires 10 people to do it . after 20 days , he realizes that one fourth of the work is done so he fires 2 people . in how many more days g will the work get over ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 20.0\nn3 = 2.0\nt0 = n1 * n2\nt1 = 1.0 - 0.25\nt2 = n1 - n3\nt3 = t0 / 0.25\nt4 = t3 * t1\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "a person can swim in still water at 12 km / h . if the speed of water 10 km / h , how many hours will the man take to swim back against the current for 12 km ?", + "Output Program": [ + "n0 = 12.0\nn1 = 10.0\nn2 = 12.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a women travels from x to y distance of 1000 miles in 10 hours . she returns to x in 4 hours . find her average speed", + "Output Program": [ + "n0 = 1000.0\nn1 = 10.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = t0 / 2.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "142.85714285714286" + ], + "split": "train" + }, + { + "Input": "in what time will a train 140 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 140.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.499720022398208" + ], + "split": "train" + }, + { + "Input": "a man ' s speed with the current is 20 kmph and speed of the current is 1 kmph . the man ' s speed against the current will be", + "Output Program": [ + "n0 = 20.0\nn1 = 1.0\nt0 = n0 - n1\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "calculate the l . c . m of 4 / 9 , 5 / 7 , 9 / 13 , 7 / 15 is :", + "Output Program": [ + "n0 = 4.0\nn1 = 9.0\nn2 = 5.0\nn3 = 7.0\nn4 = 9.0\nn5 = 13.0\nn6 = 7.0\nn7 = 15.0\nt0 = n0 * n2\nt1 = n4 * n6\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "1260" + ], + "split": "train" + }, + { + "Input": "a motorist travels for 6 hours , the first half at 60 kmph and the rest at 48 kmph . find the distance traveled by him .", + "Output Program": [ + "n0 = 6.0\nn1 = 60.0\nn2 = 48.0\nt0 = n0 / 2.0\nt1 = n1 * t0\nt2 = n2 * t0\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "324" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 6 days . b can do it in 5 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ?", + "Output Program": [ + "n0 = 6.0\nn1 = 5.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = n2 * t3\nt5 = t0 - t4\nt6 = t5 / n2\nanswer = t0 / t6\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "a machine , working at a constant rate , manufactures 72 staplers in 28 minutes . how many staplers does it make in 1 hr 52 min ?", + "Output Program": [ + "n0 = 72.0\nn1 = 28.0\nn2 = 1.0\nn3 = 52.0\nt0 = n2 * 60.0\nt1 = n3 + t0\nt2 = t1 / n1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "288" + ], + "split": "train" + }, + { + "Input": "walking with 4 / 5 of my usual speed , i miss the bus by 5 minutes . what is my usual time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 5.0\nt0 = n1 / n0\nt1 = n2 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a girl walks at a speed of 5 kmph . how much time does he take to walk a distance of 30 km ?", + "Output Program": [ + "n0 = 5.0\nn1 = 30.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "working together , tim and tom can type 12 pages in one hour . if they would be able to type 14 pages in one hour if tom increases his typing speed by 25 % , what is the ratio of tom ' s normal typing speed to that of tim ?", + "Output Program": [ + "n0 = 12.0\nn1 = 14.0\nn2 = 25.0\nt0 = 1.0 * 100.0\nt1 = n1 - n0\nt2 = n2 / t0\nt3 = t1 / t2\nt4 = n0 - t3\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "two numbers have a h . c . f of 9 and a product of two numbers is 1800 . find the l . c . m of the two numbers ?", + "Output Program": [ + "n0 = 9.0\nn1 = 1800.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "at a certain resort , each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants . the 3 restaurants are the family buffet , the dining room , and the snack bar . exactly 19 employees are trained to work in the family buffet , 18 are trained to work in the dining room , and 12 are trained to work in the snack bar . if 2 employees are trained to work in exactly 2 restaurants , how many employees are trained to work in all 3 restaurants ?", + "Output Program": [ + "n0 = 39.0\nn1 = 1.0\nn2 = 3.0\nn3 = 3.0\nn4 = 19.0\nn5 = 18.0\nn6 = 12.0\nn7 = 2.0\nn8 = 2.0\nn9 = 3.0\nt0 = n4 + n5\nt1 = n6 + t0\nt2 = t1 - n7\nt3 = t2 - n0\nanswer = t3 / n8\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "if sushi rows 27 km upstream and 81 km down steam taking 9 hours each , then the speed of the stream", + "Output Program": [ + "n0 = 27.0\nn1 = 81.0\nn2 = 9.0\nt0 = n1 / n2\nt1 = n0 / n2\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "9 . on level farmland , two runners leave at the same time from the intersection of two country roads . one runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 2 miles per hour slower than the first runner ' s rate . how far apart , to the nearest mile , will they be after 1 / 2 hour ?", + "Output Program": [ + "import math\nn0 = 9.0\nn1 = 8.0\nn2 = 2.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n2\nt1 = n1 - n2\nt2 = n1 * t0\nt3 = t0 * t1\nt4 = t2**min(2.0, 5)\nt5 = t3**min(2.0, 5)\nt6 = t4 + t5\nanswer = math.sqrt(max(0, t6))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 145 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 145.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "230" + ], + "split": "train" + }, + { + "Input": "78 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 78.0\nn1 = 12.0\nn2 = 5.0\nn3 = 30.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "on a map , 2.5 inches represent 40 miles . how many miles approximately is the distance if you measured 155 centimeters assuming that 1 - inch is 2.54 centimeters ?", + "Output Program": [ + "n0 = 2.5\nn1 = 40.0\nn2 = 155.0\nn3 = 1.0\nn4 = 2.54\nt0 = n2 / n4\nt1 = n1 / n0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "976.3779527559055" + ], + "split": "train" + }, + { + "Input": "the speed of a train is 120 kmph . what is the distance covered by it in 10 minutes ?", + "Output Program": [ + "n0 = 120.0\nn1 = 10.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 3 of all the paint . during the second week , he uses 1 / 5 of the remaining paint . how many gallons of paint has joe used ?", + "Output Program": [ + "n0 = 360.0\nn1 = 1.0\nn2 = 3.0\nn3 = 1.0\nn4 = 5.0\nt0 = n0 / n2\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n4\nanswer = t3 + t1\nprint(answer)" + ], + "Output Answer": [ + "168" + ], + "split": "train" + }, + { + "Input": "sides of a rectangular park are in the ratio 3 : 2 and its area is 2400 sq m , the cost of fencing it at 50 ps per meter is ?", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 2.0\nn2 = 2400.0\nn3 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nt2 = math.sqrt(max(0, t1))\nt3 = n2 / t2\nt4 = 2 * (t3 + t2) # perimetere of rectangle\nt5 = n3 * t4\nanswer = t5 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "8 identical machines , working alone and at their constant rates , take 6 hours to complete a job lot . how long would it take for 12 such machines to perform the same job ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 12.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a and b start walking towards each other at 7 am at speed of 12 kmph and 13 kmph . they were initially 25 km apart . at what time do they meet ?", + "Output Program": [ + "n0 = 7.0\nn1 = 12.0\nn2 = 13.0\nn3 = 25.0\nt0 = n1 + n2\nt1 = n3 / t0\nanswer = n0 + t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a takes twice as much time as b & c takes thrice as much time as b to finish a piece of work . working together they can finish the work in 18 days . the no . of days need for b to do the work alone is ?", + "Output Program": [ + "import scipy\nn0 = 18.0\nt0 = scipy.lcm(int(2.0), int(3.0))\nt1 = t0 / 1.0\nt2 = t0 / 2.0\nt3 = t0 / 3.0\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = n0 * t5\nanswer = t6 / t0\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work 60 days . b can do work in 20 days . in how many days they will complete the work together ?", + "Output Program": [ + "n0 = 60.0\nn1 = 20.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a car runs at the speed of 55 km per hour when not serviced and runs at 90 kmph when serviced . after servicing the car covers a certain distance in 3 hours . how much time will the car take to cover the same distance when not serviced ?", + "Output Program": [ + "n0 = 55.0\nn1 = 90.0\nn2 = 3.0\nt0 = n1 / 2.0\nt1 = 3.0 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 24 kmph , find the speed of the stream ?", + "Output Program": [ + "n0 = 24.0\nt0 = n0 * 2.0\nt1 = t0 / 3.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a leak in the bottom of a tank can empty the full tank in 3 hours . an inlet pipe fills water at the rate of 6 litres a minute . when the tank is full , the inlet is opened and due to the leak , the tank is empty in 12 hours . how many litres does the cistern hold ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nn2 = 12.0\nt0 = n2 * 60.0\nt1 = n0 * 60.0\nt2 = t0 / t1\nt3 = n1 * t0\nt4 = t2 - 1.0\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "1440" + ], + "split": "train" + }, + { + "Input": "a boatman trying to cross the river . the width of the river is 400 m . he is selling boat with 10 m / sec . he takes 50 sec to cross the river due to flow of water . calculate the drift .", + "Output Program": [ + "import math\nn0 = 400.0\nn1 = 10.0\nn2 = 50.0\nt0 = n1 * n2\nt1 = n0**min(2.0, 5)\nt2 = t0**min(2.0, 5)\nt3 = t2 - t1\nanswer = math.sqrt(max(0, t3))\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "the average speed of a train is 87 kmph . the train was scheduled to start at 9 am in bangalore , and as per schedule it has to reach a destination of 348 km away from bangalore at 1 : 45 pm same day and a halt was scheduled onthe way . for how long was the halt scheduled ?", + "Output Program": [ + "n0 = 87.0\nn1 = 9.0\nn2 = 348.0\nn3 = 1.0\nn4 = 45.0\nt0 = 2.0 + 4.0\nt1 = n2 / n0\nt2 = t0 * 2.0\nt3 = t1 * 60.0\nt4 = n3 + t2\nt5 = t4 - n1\nt6 = t5 * 60.0\nt7 = n4 + t6\nanswer = t7 - t3\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "the height of the wall is 4 times its width and length of the wall is 3 times its height . if the volume of the wall be 10368 cu . m . its width is", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nn2 = 10368.0\nt0 = 1.0 / 3.0\nt1 = n0 * n1\nt2 = n0 * t1\nt3 = n2 / t2\nanswer = t3**min(t0, 5)\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "train" + }, + { + "Input": "a courtyard is 24 meter long and 14 meter board is to be paved with bricks of dimensions 25 cm by 15 cm . the total number of bricks required is :", + "Output Program": [ + "n0 = 24.0\nn1 = 14.0\nn2 = 25.0\nn3 = 15.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n2 * n3\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "8960" + ], + "split": "train" + }, + { + "Input": "in how many seconds will a train 180 meters long pass an oak tree , if the speed of the train is 54 km / hr ?", + "Output Program": [ + "n0 = 180.0\nn1 = 54.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "11.999040076793857" + ], + "split": "train" + }, + { + "Input": "if 20 typists can type 40 letters in 20 minutes , then how many letters will 30 typists working at the same rate complete in 1 hour ?", + "Output Program": [ + "n0 = 20.0\nn1 = 40.0\nn2 = 20.0\nn3 = 30.0\nn4 = 1.0\nt0 = n1 * 3.0\nt1 = t0 / n0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "there are 4 people who has to cross a stretch of 300 km . they normally run at a speed of 10 kmph . one of them has a bike that travels at 50 kmph . the bike first takes one person alone and crosses the stretch while the other two keep running . then he comes back without wasting time and picks up another person from the way , drives him across the stretch , and does the same for the last person . how long does this whole process take ?", + "Output Program": [ + "n0 = 4.0\nn1 = 300.0\nn2 = 10.0\nn3 = 50.0\nt0 = n2 + n3\nt1 = n1 / n3\nt2 = n2 * n2\nt3 = n2 * t1\nt4 = n1 - t3\nt5 = t4 / t0\nt6 = t4 - t2\nt7 = t1 + t5\nt8 = n1 - t6\nt9 = t7 + t5\nt10 = t8 / t0\nt11 = t10 + t10\nanswer = t9 + t11\nprint(answer)" + ], + "Output Answer": [ + "19.333333333333332" + ], + "split": "train" + }, + { + "Input": "a courtyard is 18 meter long and 12 meter board is to be paved with bricks of dimensions 15 cm by 13 cm . the total number of bricks required is :", + "Output Program": [ + "n0 = 18.0\nn1 = 12.0\nn2 = 15.0\nn3 = 13.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n2 * n3\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "11076.923076923076" + ], + "split": "train" + }, + { + "Input": "angelina walked 840 meters from her home to the grocery at a constant speed . she then walked 480 meters to the gym at double the speed . she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ?", + "Output Program": [ + "n0 = 840.0\nn1 = 480.0\nn2 = 40.0\nt0 = n1 / 2.0\nt1 = n0 - t0\nt2 = t1 / n2\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 5 cm ?", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 5.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "95" + ], + "split": "train" + }, + { + "Input": "a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 186 , how many hours overtime did he work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 40.0\nn2 = 186.0\nt0 = n0 * n1\nt1 = n0 * 2.0\nt2 = n2 - t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days c do they need to finish the same job ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 3.0\nn3 = 4.0\nt0 = n0 + n3\nt1 = n0 * n1\nt2 = n0 * n2\nt3 = t1 - t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a type q machine can complete a job in 5 hours and a type b machine can complete the job in 7 hours . how many hours will it take 2 type q machines and 3 type b machines working together and independently to complete the job ?", + "Output Program": [ + "n0 = 5.0\nn1 = 7.0\nn2 = 2.0\nn3 = 3.0\nt0 = 1.0 / n0\nt1 = t0 * 2.0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "1.2000000000000002" + ], + "split": "train" + }, + { + "Input": "how many pieces of 85 cm length can be cut from a rod of 38.25 meters long ?", + "Output Program": [ + "n0 = 85.0\nn1 = 38.25\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "gretzky street begins at orr street and runs directly east for 5.6 kilometers until it ends when it meets howe street . gretzky street is intersected every 350 meters by a perpendicular street , and each of those streets other than orr street and howe street is given a number beginning at 1 st street ( one block east of orr street ) and continuing consecutively ( 2 nd street , 3 rd street , etc . . . ) until the highest - numbered street one block west of howe street . what is the highest - numbered street that intersects gretzky street ?", + "Output Program": [ + "n0 = 5.6\nn1 = 350.0\nn2 = 1.0\nn3 = 2.0\nn4 = 3.0\nt0 = n0 * 1000.0\nt1 = t0 / n1\nanswer = t1 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "two stations a and b are 20 km apart on a straight line . one train starts from a at 7 a . m . and travels towards b at 20 kmph . another train starts from b at 8 a . m . and travels towards a at a speed of 25 kmph . at what time will they meet ?", + "Output Program": [ + "n0 = 20.0\nn1 = 7.0\nn2 = 20.0\nn3 = 8.0\nn4 = 25.0\nt0 = n2 + n4\nt1 = n0 - n2\nt2 = t1 / t0\nanswer = n3 + t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a person crosses a 1800 m long street in 12 minutes . what is his speed in km per hour ?", + "Output Program": [ + "n0 = 1800.0\nn1 = 12.0\nt0 = n0 / 1000.0\nt1 = n1 * 60.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "a certain electric - company plan offers customers reduced rates for electricity used between 8 p . m . and 8 a . m . weekdays and 24 hours a day saturdays and sundays . under this plan , the reduced rates c apply to what fraction of a week ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 24.0\nt0 = 2.0 + 3.0\nt1 = 3.0 + 4.0\nt2 = n2 / 2.0\nt3 = n2 * 2.0\nt4 = t0 * t2\nt5 = n2 * t1\nt6 = t4 + t3\nanswer = t6 / t5\nprint(answer)" + ], + "Output Answer": [ + "0.6428571428571429" + ], + "split": "train" + }, + { + "Input": "the distance from steve ' s house to work is 35 km . on the way back steve drives twice as fast as he did on the way to work . altogether , steve is spending 6 hours a day on the roads . what is steve ' s speed on the way back from work ?", + "Output Program": [ + "n0 = 35.0\nn1 = 6.0\nt0 = n0 / 2.0\nt1 = n0 + t0\nt2 = t1 / n1\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "17.5" + ], + "split": "train" + }, + { + "Input": "a 250 m long train is running at a speed of 55 km / hr . it crossed a platform of length 520 m in ?", + "Output Program": [ + "n0 = 250.0\nn1 = 55.0\nn2 = 520.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "50.395968322534195" + ], + "split": "train" + }, + { + "Input": "a jogger is running at 9 kmph alongside a railway track in 240 meters ahead of the engine of a 120 meters long train . the train is running at 45 kmph in the same direction . how much time does it take for the train to pass the jogger ?", + "Output Program": [ + "n0 = 9.0\nn1 = 240.0\nn2 = 120.0\nn3 = 45.0\nt0 = n1 + n2\nt1 = n3 - n0\nt2 = t1 * 1000.0\nt3 = t2 / 3600.0\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 16 km / hr in still water . if the rate of stream is 5 km / hr , then find the time taken by the boat to cover distance of 126 km downstream .", + "Output Program": [ + "n0 = 16.0\nn1 = 5.0\nn2 = 126.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a man rows 750 m in 675 seconds against the stream and returns in 7 and half minutes . his rowing speed in s \u0275 ll water is", + "Output Program": [ + "n0 = 750.0\nn1 = 675.0\nn2 = 7.0\nt0 = n0 / n1\nt1 = 1.0 / 2.0\nt2 = 1.0 * 60.0\nt3 = n2 * 60.0\nt4 = t2 / 2.0\nt5 = t4 + t3\nt6 = n0 / t5\nt7 = t6 + t0\nt8 = t7 * t1\nanswer = t8 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a alone can finish a work in 10 days which b alone can finish in 15 days . if they work together and finish it , then out of a total wages of rs . 3500 , a will get :", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 3500.0\nt0 = n1 * 2.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = t1 / t3\nanswer = n2 * t4\nprint(answer)" + ], + "Output Answer": [ + "2100" + ], + "split": "train" + }, + { + "Input": "sides of a rectangular park are in the ratio 3 : 2 and its area is 7350 sq m , the cost of fencing it at 50 ps per meter is ?", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 2.0\nn2 = 7350.0\nn3 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nt2 = math.sqrt(max(0, t1))\nt3 = n2 / t2\nt4 = 2 * (t3 + t2) # perimetere of rectangle\nt5 = n3 * t4\nanswer = t5 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "175" + ], + "split": "train" + }, + { + "Input": "how many shots of 1 cm radius can be prepared from a sphere of 3 cm radius ?", + "Output Program": [ + "n0 = 1.0\nn1 = 3.0\nt0 = n1**min(2.0, 5)\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "two trains each 190 m in length each , are running on two parallel lines in opposite directions . if one goes at the speed of 65 km / h while the other travels at 50 km / h . how long will it take for them to pass each other completely .", + "Output Program": [ + "n0 = 190.0\nn1 = 65.0\nn2 = 50.0\nt0 = n0 + n0\nt1 = n1 + n2\nt2 = t0 / 1000.0\nt3 = t2 / t1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "11.895652173913044" + ], + "split": "train" + }, + { + "Input": "a 600 m long train crosses a tree in 60 sec , how much time will it take to pass a platform 450 m long ?", + "Output Program": [ + "n0 = 600.0\nn1 = 60.0\nn2 = 450.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "105" + ], + "split": "train" + }, + { + "Input": "the ratio between the speeds of two trains is 7 : 8 . if the second train runs 400 km in 4 hours , what is the the speed of the first train ?", + "Output Program": [ + "n0 = 7.0\nn1 = 8.0\nn2 = 400.0\nn3 = 4.0\nt0 = n2 / n3\nt1 = t0 / n1\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "87.5" + ], + "split": "train" + }, + { + "Input": "a plot abcd is as shown in figure , where af = 30 m , ce = 40 m , ed = 50 m , ae = 120 m . find the area of the plot abcd ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 50.0\nn3 = 120.0\nt0 = n3 - n0\nt1 = n0 * n1 / 2\nt2 = n2 * n3 / 2\nt3 = t1 + t2\nt4 = n1 * t0\nanswer = t3 + t4\nprint(answer)" + ], + "Output Answer": [ + "7200" + ], + "split": "train" + }, + { + "Input": "in what time will a train 100 meters long cross an electric pole , if its speed is 126 km / hr", + "Output Program": [ + "n0 = 100.0\nn1 = 126.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.856914303998537" + ], + "split": "train" + }, + { + "Input": "two bullet train s 140 m and 170 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time ( in seconds ) which they take to cross each other , is :", + "Output Program": [ + "n0 = 140.0\nn1 = 170.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.159107271418288" + ], + "split": "train" + }, + { + "Input": "a courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm . the total number of bricks required is", + "Output Program": [ + "n0 = 25.0\nn1 = 16.0\nn2 = 20.0\nn3 = 10.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n2 * n3\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "20000" + ], + "split": "train" + }, + { + "Input": "a train 108 m long is moving at a speed of 50 km / hr . it crosses a train 112 m long coming from opposite direction in 6 seconds . what is the speed of the second train ?", + "Output Program": [ + "n0 = 108.0\nn1 = 50.0\nn2 = 112.0\nn3 = 6.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nt2 = t0 / n3\nt3 = t2 - t1\nanswer = t3 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "81.996" + ], + "split": "train" + }, + { + "Input": "danny and steve are running towards each other , each one from his own house . danny can reach steve ' s house in 31 minutes of running , which is half the time it takes steve to reach danny ' s house . if the two started to run at the same time , how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?", + "Output Program": [ + "n0 = 31.0\n\nanswer = n0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "15.5" + ], + "split": "train" + }, + { + "Input": "two persons a and b can complete a piece of work in 30 days and 45 days respectively . if they work together , what part of the work will be completed in 4 days ?", + "Output Program": [ + "n0 = 30.0\nn1 = 45.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "0.2222222222222222" + ], + "split": "train" + }, + { + "Input": "two dogsled teams raced across a 300 mile course in wyoming . team a finished the course in 3 fewer hours than team e . if team a ' s average speed was 5 mph greater than team e ' s , what was team e ' s average mph ?", + "Output Program": [ + "n0 = 300.0\nn1 = 3.0\nn2 = 5.0\nt0 = n0 / n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "train speed 36 kph . dist travelled in 3 minutes in meters", + "Output Program": [ + "n0 = 36.0\nn1 = 3.0\nt0 = n1 / 60.0\nt1 = n0 * t0\nanswer = t1 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "1800" + ], + "split": "train" + }, + { + "Input": "a van takes 6 hours to cover a distance of 288 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 288.0\nn2 = 3.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 km / hr and crosses a 250 m long platform in 30 sec . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 250.0\nn2 = 30.0\nt0 = n0 / 3600.0\nt1 = t0 * 1000.0\nt2 = n2 * t1\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "factory x ' s bulbs work for over 4000 hours in 59 % of cases , whereas factory y ' s bulbs work for over 4000 hours in 65 % of cases . it is known that factory x supplies 60 % of the total bulbs available . what is the chance that a purchased bulb will work for longer than 4000 hours ?", + "Output Program": [ + "n0 = 4000.0\nn1 = 59.0\nn2 = 4000.0\nn3 = 65.0\nn4 = 60.0\nn5 = 4000.0\nt0 = n1 + n3\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "train" + }, + { + "Input": "a 180 meter long train crosses a man standing on the platform in 6 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 180.0\nn1 = 6.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "108" + ], + "split": "train" + }, + { + "Input": "a is twice efficient as b and together they do the same work in as much time as c and d together . if c and d can complete the work in 20 and 30 daysrespectively , working alone , then in how many days a can complete the work individually :", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nt0 = n1 - n0\nt1 = t0 - 1.0\nt2 = t1 / t0\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a train is 48 kmph and including stoppages it is 32 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 48.0\nn1 = 32.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "15 ants can move 600 sugar cubes of 10 grams each to their home in 5 hours . then how many sugar cubes of 5 grams each , will 20 ants move in 3 hours ?", + "Output Program": [ + "n0 = 15.0\nn1 = 600.0\nn2 = 10.0\nn3 = 5.0\nn4 = 5.0\nn5 = 20.0\nn6 = 3.0\nt0 = n1 * n2\nt1 = t0 / n3\nt2 = t1 / n0\nt3 = n5 * t2\nt4 = n6 * t3\nanswer = t4 / n3\nprint(answer)" + ], + "Output Answer": [ + "960" + ], + "split": "train" + }, + { + "Input": "a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 340 m long platform ?", + "Output Program": [ + "n0 = 36.0\nn1 = 12.0\nn2 = 340.0\nt0 = n0 * 0.2778\nt1 = n1 * t0\nt2 = n2 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "45.99728021758259" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 110 meters long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 110.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "265" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 64 kmph and including stoppages , it is 50 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 64.0\nn1 = 50.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "13.125" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , while a and c together can do it in 2 hours . how long will b alone take to do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nn2 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "train" + }, + { + "Input": "the moon revolves around the earth at a speed of approximately 1.02 kilometers per second . this approximate speed is how many kilometers per hour ?", + "Output Program": [ + "n0 = 1.02\n\nanswer = n0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "3672" + ], + "split": "train" + }, + { + "Input": "one pipe can fill a tank four times as fast as another pipe . if together the two pipes can fill the tank in 40 minutes , then the slower pipe alone will be able to fill the tank in ?", + "Output Program": [ + "n0 = 40.0\nt0 = 1.0 + 4.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "machine a can finish a job in 4 hours , machine \u0432 can finish the job in 3 hours , and machine \u0441 can finish the job in 6 hours . how many hours will it take for a , b , and \u0441 together to finish the job ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nn2 = 6.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "1.3333333333333335" + ], + "split": "train" + }, + { + "Input": "if it takes 10 kids 6 hours to wear out their teacher , how long would it take 15 kids ?", + "Output Program": [ + "n0 = 10.0\nn1 = 6.0\nn2 = 15.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a man walking at the rate of 5 km / hr crosses a bridge in 15 minutes . what is the length of the bridge ( in metres ) ?", + "Output Program": [ + "n0 = 5.0\nn1 = 15.0\nt0 = n0 * 1000.0\nt1 = t0 / 60.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "1250" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 160 metres long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 160.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "215" + ], + "split": "train" + }, + { + "Input": "two pipes a and b can fill a cistern in 37 \u00bd min and 45 minutes respectively . both the pipes are opened . the cistern will be filled in just half an hour , if the pipe b is turned off after", + "Output Program": [ + "n0 = 37.0\nn1 = 45.0\nt0 = 2.0 + 3.0\nanswer = n1 / t0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "if 34 men do a work in 40 days , in how many days will 20 men do it ?", + "Output Program": [ + "n0 = 34.0\nn1 = 40.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "68" + ], + "split": "train" + }, + { + "Input": "bruce and anne can clean their house in 4 hours working together at their respective constant rates . if anne \u2019 s speed were doubled , they could clean their house in 3 hours working at their respective rates . how many e hours does it currently take anne to clean the house on her own ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "train" + }, + { + "Input": "two cars are traveling in the same direction along the same route . the red car travels at a constant speed of 10 miles per hour , and the black car is traveling at a constant speed of 50 miles per hour . if the red car is 20 miles ahead of the black car , how many hours will it take the black car to overtake the red car ?", + "Output Program": [ + "n0 = 10.0\nn1 = 50.0\nn2 = 20.0\nt0 = n1 - n0\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "a tank is filled by 3 pipes a , b , c in 10 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?", + "Output Program": [ + "n0 = 3.0\nn1 = 10.0\nt0 = 2.0 * 2.0\nt1 = t0 + 2.0\nt2 = t1 + 1.0\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "rahul can do a work in 3 days while rajesh can do the same work in 2 days . both of them finish the work together and get $ 2250 . what is the share of rahul ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 2250.0\nt0 = n0 + n1\nt1 = n1 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "900" + ], + "split": "train" + }, + { + "Input": "hcf and lcm two numbers are 20 and 396 respectively . if one of the numbers is 36 , then the other number is ?", + "Output Program": [ + "n0 = 20.0\nn1 = 396.0\nn2 = 36.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "220" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 15 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 15.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "250.00000000000003" + ], + "split": "train" + }, + { + "Input": "without stoppages , a train travels certain distance with an average speed of 400 km / h , and with stoppages , it covers the same distance with an average speed of 360 km / h . how many minutes per hour the train stops ?", + "Output Program": [ + "n0 = 400.0\nn1 = 360.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "express a speed of 18 kmph in meters per second ?", + "Output Program": [ + "n0 = 18.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "5.0004" + ], + "split": "train" + }, + { + "Input": "a train 280 m long , running with a speed of 72 km / hr will pass a tree in ?", + "Output Program": [ + "n0 = 280.0\nn1 = 72.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "in one hour , a boat goes 16 km along the stream and 6 km against the stream . the speed of the boat in still water ( in km / hr ) is :", + "Output Program": [ + "n0 = 16.0\nn1 = 6.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "how long does a train 120 m long running at the speed of 70 km / hr takes to cross a bridge 150 m length ?", + "Output Program": [ + "n0 = 120.0\nn1 = 70.0\nn2 = 150.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "13.884603517432893" + ], + "split": "train" + }, + { + "Input": "if the perimeter of a rectangular stadium is 800 m , its length when its breadth is 300 m is ?", + "Output Program": [ + "n0 = 800.0\nn1 = 300.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a person can row at 10 kmph in still water . if the velocity of the current is 2 kmph and it takes him 10 hour to row to a place and come back , how far is the place ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n2 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "the distance between two cities a and b is 330 km . a train starts from a at 8 a . m . and travel towards b at 60 km / hr . another train starts from b at 9 a . m . and travels towards a at 75 km / hr . at what time will they meet ?", + "Output Program": [ + "n0 = 330.0\nn1 = 8.0\nn2 = 60.0\nn3 = 9.0\nn4 = 75.0\nt0 = n0 + n4\nt1 = n2 + n4\nt2 = t0 / t1\nanswer = n1 + t2\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "one pump drains one - half of a pond in 2.5 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ?", + "Output Program": [ + "n0 = 2.5\nt0 = n0 * 2.0\nt1 = 1.0 / t0\nt2 = 1.0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "1.25" + ], + "split": "train" + }, + { + "Input": "a train , 800 meter long is running with a speed of 78 km / hr . it crosses a tunnel in 1 minute . what is the length of the tunnel ?", + "Output Program": [ + "n0 = 800.0\nn1 = 78.0\nn2 = 1.0\nt0 = n1 * 1000.0\nt1 = t0 / 3600.0\nt2 = t1 * 60.0\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "a room 11 m 47 cm long and 7 m 77 cm broad is to be paved with square tiles . find the least number of square tiles required to cover the floor .", + "Output Program": [ + "n0 = 11.0\nn1 = 47.0\nn2 = 7.0\nn3 = 77.0\nt0 = n0 * 100.0\nt1 = n2 * 100.0\nt2 = 2.0 * 4.0\nt3 = n1 + t0\nt4 = n3 + t1\nt5 = t2 + 2.0\nt6 = t3 * t4\nt7 = n1 - t5\nt8 = t7 * t7\nanswer = t6 / t8\nprint(answer)" + ], + "Output Answer": [ + "651" + ], + "split": "train" + }, + { + "Input": "the distance from city a to city b is 180 miles . while driving from city a to city b , cara drives at a constant speed of 30 miles per hour . dan leaves city a 60 minutes after cara . what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ?", + "Output Program": [ + "n0 = 180.0\nn1 = 30.0\nn2 = 60.0\nt0 = n0 / n1\nt1 = n2 / n2\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "the length of the longest tape in cm which can be used to measure exactly , the length 100 cm ; 2 m 25 cm ; and 7 m 80 cm is :", + "Output Program": [ + "import math\nn0 = 100.0\nn1 = 2.0\nn2 = 25.0\nn3 = 7.0\nn4 = 80.0\n\nanswer = math.sqrt(max(0, n2))\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "each of the three people individually can complete a certain job in 4 , 5 , and 6 hours , respectively . what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 6.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n1\nt1 = n3 / n2\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "0.3666666666666667" + ], + "split": "train" + }, + { + "Input": "in what time will a train 100 meters long cross an electric pole , if its speed is 180 km / hr", + "Output Program": [ + "n0 = 100.0\nn1 = 180.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "1.9998400127989762" + ], + "split": "train" + }, + { + "Input": "if 8 people can eat a gallon of ice cream in 10 days , how long would it take 5 people to eat a gallon of ice cream ?", + "Output Program": [ + "n0 = 8.0\nn1 = 10.0\nn2 = 5.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "in what time will a train 20 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 20.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.49996000319974404" + ], + "split": "train" + }, + { + "Input": "two trains a and b are 175 m and 150 m long and are moving at one another at 54 km / hr and 36 km / hr respectively . arun is sitting on coach b 1 of train a . calculate the time taken by arun to completely cross train b .", + "Output Program": [ + "n0 = 175.0\nn1 = 150.0\nn2 = 54.0\nn3 = 36.0\nn4 = 1.0\nt0 = n0 + n1\nt1 = n2 * 1000.0\nt2 = n3 * 1000.0\nt3 = t1 / 3600.0\nt4 = t2 / 3600.0\nt5 = t3 + t4\nanswer = t0 / t5\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "a train traveling with constant speed crosses a 90 m long platform in 12 seconds and a 120 m long platform in 15 seconds . find the length of the train and its speed .", + "Output Program": [ + "n0 = 90.0\nn1 = 12.0\nn2 = 120.0\nn3 = 15.0\nt0 = n1 * n2\nt1 = n0 * n3\nt2 = n3 - n1\nt3 = t0 - t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 130 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 130.0\nn1 = 150.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "27.997760179185665" + ], + "split": "train" + }, + { + "Input": "a man cycling along the road noticed that every 12 minutes a bus overtakes him and every 4 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?", + "Output Program": [ + "n0 = 12.0\nn1 = 4.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 / t1\nt3 = n0 / t2\nt4 = n0 - t3\nanswer = t4 / 1.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a pump can fill a tank with water in 2 hours . because of a leak , it took 2 1 / 3 hours to fill the tank . the leak can drain all the water of the tank in ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 1.0\nn3 = 3.0\nt0 = n2 / n0\nt1 = n0 * n3\nt2 = n2 + t1\nt3 = t2 / n3\nt4 = 1 / t3\nt5 = t0 - t4\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "13.999999999999995" + ], + "split": "train" + }, + { + "Input": "jack and christina are standing 270 feet apart on a level surface . their dog , lindy , is standing next to christina . at the same time , they all begin moving toward each other . jack walks in a straight line toward christina at a constant speed of 4 feet per second and christina walks in a straight line toward jack at a constant speed of 5 feet per second . lindy runs at a constant speed of 8 feet per second from christina to jack , back to christina , back to jack , and so forth . what is the total distance , in feet , that lindy has traveled when the three meet at one place ?", + "Output Program": [ + "n0 = 270.0\nn1 = 4.0\nn2 = 5.0\nn3 = 8.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "man 1 alone can do a piece of work in 6 days and man 2 alone in 8 days . man 1 and man 2 undertook to do it for rs . 3200 . with the help of man 3 , they completed the work in 3 days . how much is to be paid to man 3 ?", + "Output Program": [ + "n0 = 1.0\nn1 = 6.0\nn2 = 2.0\nn3 = 8.0\nn4 = 1.0\nn5 = 2.0\nn6 = 3200.0\nn7 = 3.0\nn8 = 3.0\nn9 = 3.0\nt0 = 1.0 / n7\nt1 = 1.0 / n1\nt2 = 1.0 / n3\nt3 = t1 + t2\nt4 = t0 - t3\nt5 = 1 / t4\nt6 = n7 / t5\nanswer = n6 * t6\nprint(answer)" + ], + "Output Answer": [ + "400.00000000000017" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 9 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "a rectangular plot measuring 30 meters by 50 meters is to be enclosed by wire fencing . if the poles of the fence are kept 5 meters apart . how many poles will be needed ?", + "Output Program": [ + "n0 = 30.0\nn1 = 50.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = t0 * 2.0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a person crosses a 1000 m long street in 10 minutes . what is his speed in km per hour ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 10.0\nt0 = n0 / 1000.0\nt1 = n1 * 60.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long travelling at 60 kmph takes to cross a bridge of 170 m in length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 60.0\nn2 = 170.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "16.7986561075114" + ], + "split": "train" + }, + { + "Input": "two trains from opposite directions are to cross each other . the length of two trains are 100 meter and 200 meter respectively . the speed of first train is 100 km / hour and second train 200 km / hour . in how much time will they cross each other ?", + "Output Program": [ + "n0 = 100.0\nn1 = 200.0\nn2 = 100.0\nn3 = 200.0\nt0 = n0 + n1\nt1 = t0 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.6" + ], + "split": "train" + }, + { + "Input": "in a garden , there are 10 rows and 12 columns of mango trees . the distance between the two trees is 2 metres and a distance of five metre is left from all sides of the boundary of the garden . what is the length of the garden ?", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nn2 = 2.0\nt0 = n0 / n2\nt1 = n1 - 1.0\nt2 = n2 * t1\nt3 = t0 + t2\nanswer = t3 + t0\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "darcy lives 1.5 miles from work . she can walk to work at a constant rate of 3 miles per hour , or she can ride the train to work at a constant rate of 20 miles per hour . if she rides the train , there is an additional x minutes spent walking to the nearest train station , waiting for the train , and walking from the final train station to her work . if it takes darcy a total of 2 more minutes to commute to work by walking than it takes her to commute to work by riding the train , what is the value of x ?", + "Output Program": [ + "n0 = 1.5\nn1 = 3.0\nn2 = 20.0\nn3 = 2.0\nt0 = 60.0 / 2.0\nt1 = n2 / n0\nt2 = 60.0 / t1\nt3 = t0 - n3\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "23.5" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a train is 30 kmph and including stoppages it is 21 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 30.0\nn1 = 21.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "in a games hour 4 different types of players came to the ground ? cricket 15 , hokey 12 , football 13 , softball 15 . how many players are present in the ground ?", + "Output Program": [ + "n0 = 4.0\nn1 = 15.0\nn2 = 12.0\nn3 = 13.0\nn4 = 15.0\nt0 = n1 + n2\nt1 = n3 + n4\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "train" + }, + { + "Input": "in what time will a train 300 meters long cross an electric pole , if its speed is 90 km / hr", + "Output Program": [ + "n0 = 300.0\nn1 = 90.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "11.999040076793857" + ], + "split": "train" + }, + { + "Input": "vanessa , mike and sarah have missed a total of 17 days of school this year . vanessa and mike have missed 14 days total , and mike and sarah have missed 12 days total . how many days of school did vanessa miss alone ?", + "Output Program": [ + "n0 = 17.0\nn1 = 14.0\nn2 = 12.0\n\nanswer = n0 - n2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "two trains 140 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 140.0\nn1 = 160.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "10.799136069114471" + ], + "split": "train" + }, + { + "Input": "working alone , a can complete a certain kind of job in 6 hours . a and d , working together at their respective rates , can complete one of these jobs in 4 hours . in how many hours can d , working alone , complete one of these jobs ?", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nt0 = 1 / n1\nt1 = 1 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999998" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 72 km / hr crosses a pole in 9 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 180 km / hr crosses a pole in 7 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 180.0\nn1 = 7.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "a man , a woman and a boy can together complete a piece of work in 3 days . if a man alone can do it in 6 days and a boy alone in 9 days , how long will a woman take to complete the work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nn2 = 9.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t1 + t2\nt4 = t0 - t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "18.00000000000001" + ], + "split": "train" + }, + { + "Input": "a train , 135 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds . the length of the bridge is", + "Output Program": [ + "n0 = 135.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "240.02999999999997" + ], + "split": "train" + }, + { + "Input": "if one cat eats 1.5 rats in 1.5 days , then in howmany days 3 cats will eat 3 rats ? ?", + "Output Program": [ + "n0 = 1.5\nn1 = 1.5\nn2 = 3.0\nn3 = 3.0\nt0 = n0 / n0\nt1 = n2 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "the distance between two cities a and b is 465 km . a train starts from a at 8 a . m . and travel towards b at 60 km / hr . another train starts from b at 9 a . m and travels towards a at 75 km / hr . at what time do they meet ?", + "Output Program": [ + "n0 = 465.0\nn1 = 8.0\nn2 = 60.0\nn3 = 9.0\nn4 = 75.0\nt0 = n0 + n4\nt1 = n2 + n4\nt2 = t0 / t1\nanswer = n1 + t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a 210 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?", + "Output Program": [ + "n0 = 210.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "290.03999999999996" + ], + "split": "train" + }, + { + "Input": "walking with 4 / 5 of my usual speed , i miss the bus by 6 minutes . what is my usual time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 6.0\nt0 = n1 / n0\nt1 = n2 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 130 m long and traveling at 45 km / hr can cross in 30 sec is ?", + "Output Program": [ + "n0 = 130.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "245" + ], + "split": "train" + }, + { + "Input": "two trains 170 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 170.0\nn1 = 160.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.879049676025918" + ], + "split": "train" + }, + { + "Input": "at a loading dock , each worker on the night crew loaded 3 / 4 as many boxes as each worker on the day crew . if the night crew has 1 / 2 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 1.0\nn3 = 2.0\nt0 = n1 * n3\nt1 = n0 * n2\nt2 = t0 + t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.7272727272727273" + ], + "split": "train" + }, + { + "Input": "a train of length l is traveling at a constant velocity and passes a pole in t seconds . if the same train travelling at the same velocity passes a platform in 5 t seconds , then what is the length of the platform ?", + "Output Program": [ + "n0 = 5.0\n\nanswer = n0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a train 110 m long is running with a speed of 24 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 24.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "13.198944084473244" + ], + "split": "train" + }, + { + "Input": "worker a takes 10 hours to do a job . worker b takes 12 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.454545454545454" + ], + "split": "train" + }, + { + "Input": "if a truck is traveling at a constant rate of 216 kilometers per hour , how many seconds will it take the truck to travel a distance of 600 meters ? ( 1 kilometer = 1000 meters )", + "Output Program": [ + "n0 = 216.0\nn1 = 600.0\nn2 = 1.0\nn3 = 1000.0\nt0 = n1 / n3\nt1 = t0 / n0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "if 20 typists can type 38 letters in 20 minutes , then how many letters will 30 typists working at the same rate complete in 1 hour ?", + "Output Program": [ + "n0 = 20.0\nn1 = 38.0\nn2 = 20.0\nn3 = 30.0\nn4 = 1.0\nt0 = n1 * 3.0\nt1 = t0 / n0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "171" + ], + "split": "train" + }, + { + "Input": "two cyclist start from the same places in opposite directions . one is going towards north at 10 kmph and the other is going towards south 40 kmph . what time will they take to be 50 km apart ?", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nn2 = 50.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "tom and linda stand at point a . linda begins to walk in a straight line away from tom at a constant rate of 2 miles per hour . one hour later , tom begins to jog in a straight line in the exact opposite direction at a constant rate of 7 miles per hour . if both tom and linda travel indefinitely , what is the positive difference , in minutes , between the amount of time it takes tom to cover half of the distance that linda has covered and the amount of time it takes tom to cover twice the distance that linda has covered ?", + "Output Program": [ + "n0 = 2.0\nn1 = 7.0\nt0 = 2.0 * 2.0\nt1 = n0 * 2.0\nt2 = n1 - n0\nt3 = 2.0 / t2\nt4 = n1 - t1\nt5 = t0 / t4\nt6 = t5 - t3\nanswer = t6 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "55.99999999999999" + ], + "split": "train" + }, + { + "Input": "volume of a hemisphere is 19404 cu . cm . its radius is :", + "Output Program": [ + "n0 = 19404.0\nt0 = 1.0 / 3.0\nt1 = 2.0 * 3.141592653589793\nt2 = t1 / 3.0\nt3 = n0 / t2\nanswer = t3**min(t0, 5)\nprint(answer)" + ], + "Output Answer": [ + "21.002817118114375" + ], + "split": "train" + }, + { + "Input": "pascal has 96 miles remaining to complete his cycling trip . if he reduced his current speed by 4 miles per hour , the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50 % . what is his current speed t ?", + "Output Program": [ + "import math\nn0 = 96.0\nn1 = 4.0\nn2 = 16.0\nn3 = 50.0\nt0 = n0 / n2\nt1 = n3 / 100.0\nt2 = t1 + 1.0\nt3 = t0**min(2.0, 5)\nt4 = t0 / t2\nt5 = n1 * t4\nt6 = t5 * n1\nt7 = t6 + t3\nt8 = math.sqrt(max(0, t7))\nt9 = t0 + t8\nanswer = t9 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 600 m long train take to cross a man walking with a speed of 2 km / hr in the direction of the moving train if the speed of the train is 56 km / hr ?", + "Output Program": [ + "n0 = 600.0\nn1 = 2.0\nn2 = 56.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "39.99680025597952" + ], + "split": "train" + }, + { + "Input": "a river 2 m deep and 45 m wide is flowing at the rate of 6 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 2.0\nn1 = 45.0\nn2 = 6.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "9000" + ], + "split": "train" + }, + { + "Input": "plot abcd is as shown in figure , where af = 30 m , ce = 40 m , ed = 50 m , ae = 120 m . find the area of the plot abcd ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 50.0\nn3 = 120.0\nt0 = n3 - n0\nt1 = n0 * n1 / 2\nt2 = n2 * n3 / 2\nt3 = t1 + t2\nt4 = n1 * t0\nanswer = t3 + t4\nprint(answer)" + ], + "Output Answer": [ + "7200" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 25 kmph and downstream at 65 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 25.0\nn1 = 65.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "a train crosses a bridge of length 150 m in 7.5 seconds and a lamp post on the bridge in 2.5 seconds . what is the length of the train in metres ?", + "Output Program": [ + "n0 = 150.0\nn1 = 7.5\nn2 = 2.5\nt0 = n1 - n2\nt1 = n0 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "if 11.25 m of a uniform steel rod weighs 42.75 kg . what will be the weight of 8 m of the same rod ?", + "Output Program": [ + "n0 = 11.25\nn1 = 42.75\nn2 = 8.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "30.4" + ], + "split": "train" + }, + { + "Input": "the radius of the wheel of a bus is 250 cms and the speed of the bus is 66 km / h , then the r . p . m . ( revolutions per minutes ) of the wheel is", + "Output Program": [ + "n0 = 250.0\nn1 = 66.0\nt0 = n1 * 1000.0\nt1 = 1.0 * 60.0\nt2 = 3.0 * 4.0\nt3 = 2.0 * 4.0\nt4 = n0 * 2.0\nt5 = t2 + 2.0\nt6 = t3 + 2.0\nt7 = t0 * 100.0\nt8 = t7 / t1\nt9 = t6**min(2.0, 5)\nt10 = t5 / t9\nt11 = t10 + 3.0\nt12 = t11 * t4\nanswer = t8 / t12\nprint(answer)" + ], + "Output Answer": [ + "70.06369426751593" + ], + "split": "train" + }, + { + "Input": "1000 men have provisions for 21 days . if 800 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 21.0\nn2 = 800.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "11.666666666666666" + ], + "split": "train" + }, + { + "Input": "a rectangular plot measuring 10 meters by 50 meters is to be enclosed by wire fencing . if the poles of the fence are kept 5 meters apart . how many poles will be needed ?", + "Output Program": [ + "n0 = 10.0\nn1 = 50.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = t0 * 2.0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "x can finish a work in 21 days . y can finish the same work in 15 days . y worked for 5 days and left the job . how many days does x alone need to finish the remaining work ?", + "Output Program": [ + "n0 = 21.0\nn1 = 15.0\nn2 = 5.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = n2 * t0\nt3 = 1.0 - t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "14.000000000000002" + ], + "split": "train" + }, + { + "Input": "p is able to do a piece of work in 20 days and q can do the same work in 10 days . if they can work together for 2 days , what is the fraction of work left ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.7" + ], + "split": "train" + }, + { + "Input": "a boat goes 100 km downstream in 8 hours , and 75 km upstream in 15 hours . the speed of the stream is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 8.0\nn2 = 75.0\nn3 = 15.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "3.75" + ], + "split": "train" + }, + { + "Input": "a rectangular plot measuring 90 metres by 40 metres is to be enclosed by wire fencing . if the poles of the fence are kept 5 metres apart , how many poles will be needed ?", + "Output Program": [ + "n0 = 90.0\nn1 = 40.0\nn2 = 5.0\nt0 = 2 * (n0 + n1) # perimetere of rectangle\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "52" + ], + "split": "train" + }, + { + "Input": "dan can do a job alone in 12 hours . annie , working alone , can do the same job in just 9 hours . if dan works alone for 4 hours and then stops , how many hours will it take annie , working alone , to complete the job ?", + "Output Program": [ + "n0 = 12.0\nn1 = 9.0\nn2 = 4.0\nt0 = n2 / n0\nt1 = 1.0 - t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "6.000000000000001" + ], + "split": "train" + }, + { + "Input": "what is the speed of the stream if a canoe rows upstream at 4 km / hr and downstream at 12 km / hr", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nt0 = n1 - n0\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 16 km / hr in still water . if the rate of stream is 5 km / hr , then find the time taken by the boat to cover distance of 147 km downstream .", + "Output Program": [ + "n0 = 16.0\nn1 = 5.0\nn2 = 147.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 46 kmph respectively . in how much time will they cross each other , if they are running in the same direction ?", + "Output Program": [ + "n0 = 200.0\nn1 = 150.0\nn2 = 40.0\nn3 = 46.0\nt0 = n0 + n1\nt1 = n3 - n2\nt2 = t0 / 1000.0\nt3 = t2 / t1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "209.99999999999997" + ], + "split": "train" + }, + { + "Input": "a can do a job in 15 days and b in 20 days . if they work on it together for 8 days , then the fraction of the work that is left is ?", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 8.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.06666666666666665" + ], + "split": "train" + }, + { + "Input": "at a certain resort , each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants . the 3 restaurants are the family buffet , the dining room , and the snack bar . exactly 17 employees are trained to work in the family buffet , 18 are trained to work in the dining room , and 12 are trained to work in the snack bar . if 4 employees are trained to work in exactly 2 restaurants , how many employees are trained to work in all 3 restaurants ?", + "Output Program": [ + "n0 = 39.0\nn1 = 1.0\nn2 = 3.0\nn3 = 3.0\nn4 = 17.0\nn5 = 18.0\nn6 = 12.0\nn7 = 4.0\nn8 = 2.0\nn9 = 3.0\nt0 = n4 + n5\nt1 = n6 + t0\nt2 = t1 - n7\nt3 = t2 - n0\nanswer = t3 / n8\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a cistern is filled by pipe a in 20 hours and the full cistern can be leaked out by an exhaust pipe b in 25 hours . if both the pipes are opened , in what time the cistern is full ?", + "Output Program": [ + "n0 = 20.0\nn1 = 25.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "99.99999999999999" + ], + "split": "train" + }, + { + "Input": "a man traveled a total distance of 900 km . he traveled one - third of the whole trip by plane and the distance traveled by train is two - thirds of the distance traveled by bus . if he traveled by train , plane and bus , how many kilometers did he travel by bus ?", + "Output Program": [ + "n0 = 900.0\nt0 = 2.0 + 3.0\nt1 = n0 * 2.0\nt2 = t1 / 3.0\nt3 = t2 * 3.0\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "360" + ], + "split": "train" + }, + { + "Input": "two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 15 hr . if all pipes are opened simultaneously , then the cistern will be filled in", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nn2 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "8.57142857142857" + ], + "split": "train" + }, + { + "Input": "if 12 men or 20 women can do a piece of work in 81 days , then in how many days can 9 men and 12 women together do the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\nn2 = 81.0\nn3 = 9.0\nn4 = 12.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = n3 / t0\nt3 = n4 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "pascal has 96 miles remaining to complete his cycling trip . if he reduced his current speed by 4 miles per hour , the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50 % . what is his current speed o ?", + "Output Program": [ + "import math\nn0 = 96.0\nn1 = 4.0\nn2 = 16.0\nn3 = 50.0\nt0 = n0 / n2\nt1 = n3 / 100.0\nt2 = t1 + 1.0\nt3 = t0**min(2.0, 5)\nt4 = t0 / t2\nt5 = n1 * t4\nt6 = t5 * 4.0\nt7 = t6 + t3\nt8 = math.sqrt(max(0, t7))\nt9 = t0 + t8\nanswer = t9 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "if 4 men working 10 hours a day earn rs . 1000 per week , then 9 men working 6 hours a day will earn how much per week ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nn2 = 1000.0\nn3 = 9.0\nn4 = 6.0\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "1350" + ], + "split": "train" + }, + { + "Input": "calculate the time it will take for a train that is 250 meter long to pass a bridge of 150 meter length , if the speed of the train is 35 km / hour ?", + "Output Program": [ + "n0 = 250.0\nn1 = 150.0\nn2 = 35.0\nt0 = n0 + n1\nt1 = n2 / 3.6\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "41.142857142857146" + ], + "split": "train" + }, + { + "Input": "the sum of 3 consecutive even numbers is 246 . what are the numbers ?", + "Output Program": [ + "n0 = 3.0\nn1 = 246.0\nt0 = 2.0 + 4.0\nt1 = n1 - t0\nanswer = t1 / n0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "if 4 men can colour 48 m long cloth in 2 days , then 6 men can colour 36 m long cloth in", + "Output Program": [ + "n0 = 4.0\nn1 = 48.0\nn2 = 2.0\nn3 = 6.0\nn4 = 36.0\nt0 = n0 * n2\nt1 = n1 / t0\nt2 = n3 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "two pipes a and b can fill a tank in 10 hour and 15 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "train" + }, + { + "Input": "mike , jim and bob are all professional fisherman . mike can catch 30 fish in one hour , jim can catch twice as much and bob can catch 50 % more than jim . if the 3 started to fish together and after 40 minutes mike and bob left , how many fish did the 3 fishermen catch in one hour ?", + "Output Program": [ + "n0 = 30.0\nn1 = 50.0\nn2 = 3.0\nn3 = 40.0\nn4 = 3.0\nt0 = n2 * n3\nt1 = n1 + t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "140" + ], + "split": "train" + }, + { + "Input": "if the weight of 13 meters long rod is 13.4 kg . what is the weight of 6 meters long rod ?", + "Output Program": [ + "n0 = 13.0\nn1 = 13.4\nn2 = 6.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "6.184615384615385" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . find the cost of paying the floor by slabs at the rate of rs . 800 per sq . metre", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 800.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "16500" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 5 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "20.000000000000004" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 37 kmph and downstream at 53 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 37.0\nn1 = 53.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "angelina walked 720 meters from her home to the grocery at a constant speed . she then walked 480 meters to the gym at double the speed . she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ?", + "Output Program": [ + "n0 = 720.0\nn1 = 480.0\nn2 = 40.0\nt0 = n1 / 2.0\nt1 = n0 - t0\nt2 = t1 / n2\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 190 m in length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 60.0\nn2 = 190.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190784" + ], + "split": "train" + }, + { + "Input": "if an object travels 70 feet in 2 seconds , what is the object \u2019 s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 70.0\nn1 = 2.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 / n3\nt1 = n2 / 3600.0\nt2 = n1 * t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "23.863636363636363" + ], + "split": "train" + }, + { + "Input": "85 litres of diesel is required to travel 600 km using a 800 cc engine . if the volume of diesel required to cover a distance varies directly as the capacity of the engine , then how many litres of diesel is required to travel 800 km using 1200 cc engine ?", + "Output Program": [ + "n0 = 85.0\nn1 = 600.0\nn2 = 800.0\nn3 = 800.0\nn4 = 1200.0\nt0 = n1 * n2\nt1 = n0 / t0\nt2 = n2 * t1\nanswer = n4 * t2\nprint(answer)" + ], + "Output Answer": [ + "170" + ], + "split": "train" + }, + { + "Input": "a can give b 300 meters start and c 600 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 300.0\nn1 = 600.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "428.57142857142856" + ], + "split": "train" + }, + { + "Input": "in a 100 m race , a covers the distance in 30 seconds and b in 45 second . in this race a beats b by :", + "Output Program": [ + "n0 = 100.0\nn1 = 30.0\nn2 = 45.0\nt0 = n0 / n2\nt1 = n2 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "33.333333333333336" + ], + "split": "train" + }, + { + "Input": "express a speed of 252 kmph in meters per second ?", + "Output Program": [ + "n0 = 252.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "70.0056" + ], + "split": "train" + }, + { + "Input": "a and b go around a circular track of length 600 m on a cycle at speeds of 30 kmph and 60 kmph . after how much time will they meet for the first time at the starting point ?", + "Output Program": [ + "n0 = 600.0\nn1 = 30.0\nn2 = 60.0\nt0 = n2 * 0.2778\nt1 = n1 * 0.2778\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "71.99424046076314" + ], + "split": "train" + }, + { + "Input": "length of a rectangular plot is 14 mtr more than its breadth . if the cost of fencing the plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 14.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "57" + ], + "split": "train" + }, + { + "Input": "if the product of two numbers is 84942 and their h . c . f . is 33 , find their l . c . m .", + "Output Program": [ + "n0 = 84942.0\nn1 = 33.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "2574" + ], + "split": "train" + }, + { + "Input": "a runs twice as fast as b and gives b a start of 64 m . how long should the racecourse be so that a and b might reach in the same time ?", + "Output Program": [ + "n0 = 64.0\n\nanswer = n0 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "128" + ], + "split": "train" + }, + { + "Input": "on a map , 2.5 inches represent 25 miles . how many miles approximately is the distance if you measured 55 centimeters assuming that 1 - inch is 2.54 centimeters ?", + "Output Program": [ + "n0 = 2.5\nn1 = 25.0\nn2 = 55.0\nn3 = 1.0\nn4 = 2.54\nt0 = n2 / n4\nt1 = n1 / n0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "216.53543307086613" + ], + "split": "train" + }, + { + "Input": "a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late . had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late . what is the speed t of the train .", + "Output Program": [ + "n0 = 50.0\nn1 = 3.0\nn2 = 4.0\nn3 = 35.0\nn4 = 24.0\nn5 = 25.0\nt0 = n2 * n4\nt1 = n3 - n5\nt2 = n0 + t1\nt3 = t0 / n1\nt4 = t2 / t1\nt5 = t3 - n4\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "amar takes as much time in running 18 meters as a car takes in covering 48 meters . what will be the distance covered by amar during the time the car covers 1.8 km ?", + "Output Program": [ + "n0 = 18.0\nn1 = 48.0\nn2 = 1.8\nt0 = n2 * 1000.0\nt1 = n0 * t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "675" + ], + "split": "train" + }, + { + "Input": "a car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 18 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?", + "Output Program": [ + "n0 = 462.0\nn1 = 336.0\nn2 = 18.0\nt0 = n0 - n1\nt1 = t0 / n2\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "a train 220 m long is running with a speed of 90 km / hr . in what time will it pass a bus that is running with a speed of 60 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 220.0\nn1 = 90.0\nn2 = 60.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "5.279577633789296" + ], + "split": "train" + }, + { + "Input": "tim and \u00e9 lan are 30 miles away from one another . they are starting to move towards each other simultaneously , tim at a speed of 10 mph and \u00e9 lan at a speed of 5 mph . if every hour they double their speeds , what is the distance that tim will pass until he meets \u00e9 lan ?", + "Output Program": [ + "n0 = 30.0\nn1 = 10.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 4 hours and 36 hours respectively . the ratio of their speeds is ?", + "Output Program": [ + "import math\nn0 = 4.0\nn1 = 36.0\nt0 = math.sqrt(max(0, n1))\nt1 = math.sqrt(max(0, n0))\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a 300 meter long train crosses a platform in 45 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 45.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "450" + ], + "split": "train" + }, + { + "Input": "a boy wanted to calculate his speed on his bike . his starting point was 350 meters from the turning point . he made the round trip 5 times in 30 minutes . what was the boy ' s speed in kilometers per hour ?", + "Output Program": [ + "n0 = 350.0\nn1 = 5.0\nn2 = 30.0\nt0 = n0 / 1000.0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "1.75" + ], + "split": "train" + }, + { + "Input": "to deliver an order on time , a company has to make 25 parts a day . after making 25 parts per day for 3 days , the company started to produce 5 more parts per day , and by the last day of work 100 more parts than planned were produced . how many parts the company made ?", + "Output Program": [ + "n0 = 25.0\nn1 = 25.0\nn2 = 3.0\nn3 = 5.0\nn4 = 100.0\nt0 = n0 + n3\nt1 = n0 * n2\nt2 = n2 * t0\nt3 = n4 + t2\nt4 = t3 - t1\nt5 = t4 / n3\nt6 = n0 * t5\nanswer = n4 + t6\nprint(answer)" + ], + "Output Answer": [ + "675" + ], + "split": "train" + }, + { + "Input": "sandy walked 20 meters towards south . then sandy turned to her left and walked 20 meters . she then turned to her left and walked 20 meters . she then turned to her right and walked 10 meters . what distance is she from the starting point and in which direction ?", + "Output Program": [ + "n0 = 20.0\nn1 = 20.0\nn2 = 20.0\nn3 = 10.0\n\nanswer = n0 + n3\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "two boats are heading towards each other at constant speeds of 5 miles / hr and 25 miles / hr respectively . they begin at a distance 20 miles from each other . how far are they ( in miles ) one minute before they collide ?", + "Output Program": [ + "n0 = 5.0\nn1 = 25.0\nn2 = 20.0\nt0 = n0 + n1\nanswer = t0 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "a and b together can do a piece of work in 8 days . if a alone can do the same work in 12 days , then b alone can do the same work in ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "23.999999999999996" + ], + "split": "train" + }, + { + "Input": "a machine can filled a tank in 25 minutes and another machine can empty it in 50 minutes . if the tank is already half full and both the taps are opened together , then the tank is filled in how many minutes ?", + "Output Program": [ + "n0 = 25.0\nn1 = 50.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nt3 = 1.0 / t2\nanswer = t3 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a hall 36 m long and 15 m broad is to be paved with stones , each measuring 8 dm by 5 dm . the number of stones required is :", + "Output Program": [ + "n0 = 36.0\nn1 = 15.0\nn2 = 8.0\nn3 = 5.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t1 / 100.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "1350" + ], + "split": "train" + }, + { + "Input": "if 4 men can reap 40 acres of land in 15 days , how many acres of land can 16 men reap in 30 days ?", + "Output Program": [ + "n0 = 4.0\nn1 = 40.0\nn2 = 15.0\nn3 = 16.0\nn4 = 30.0\nt0 = n3 / n0\nt1 = n4 / n2\nt2 = t0 * t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "320" + ], + "split": "train" + }, + { + "Input": "the length of a bridge in meters , which a train 120 - meters long and traveling at 45 km / hr can cross in 30 seconds is ?", + "Output Program": [ + "n0 = 120.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 * 1000.0\nt1 = t0 / 3600.0\nt2 = n2 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "255" + ], + "split": "train" + }, + { + "Input": "a person walks at a speed of 4 km / hr and runs at a speed of 8 km / hr . how many hours will the person require to cover a distance of 16 km , if the person completes half of the distance by walking and the other half by running ?", + "Output Program": [ + "n0 = 4.0\nn1 = 8.0\nn2 = 16.0\nt0 = n2 / 2.0\nt1 = t0 / n0\nt2 = t0 / n1\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "if it takes a machine 2 \u2044 3 minute to produce one item , how many items will it produce in 1 hours ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 1.0\nt0 = n0 / n1\nt1 = n2 * 60.0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a sucrose solution contains 10 grams of sucrose per 100 cubic centimeters of solution . if 60 cubic centimeters of the solution were poured into an empty container , how many grams of sucrose would be in the container ?", + "Output Program": [ + "n0 = 10.0\nn1 = 100.0\nn2 = 60.0\nt0 = n0 * n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a and b go around a circular track of length 1200 m on a cycle at speeds of 36 kmph and 54 kmph . after how much time will they meet for the first time at the starting point ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 36.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n1 * 0.2778\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "239.98080153587716" + ], + "split": "train" + }, + { + "Input": "john bought 9.25 m of cloth for $ 407 . find the cost price per metre .", + "Output Program": [ + "n0 = 9.25\nn1 = 407.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "a honey bee flies for 10 seconds , from a daisy to a rose . it immediately continues to a poppy , flying for 6 additional seconds . the distance the bee passed , flying from the daisy to the rose is 8 meters longer than the distance it passed flying from the rose to the poppy . the bee flies to the poppy at 3 meters per second faster than her speed flying to the rose . the bee flies how many meters per second from the daisy to the rose ?", + "Output Program": [ + "n0 = 10.0\nn1 = 6.0\nn2 = 8.0\nn3 = 3.0\nt0 = n1 * n3\nt1 = n2 + t0\nanswer = t1 / n0\nprint(answer)" + ], + "Output Answer": [ + "2.6" + ], + "split": "train" + }, + { + "Input": "if in a race of 90 m , a covers the distance in 20 seconds and b in 25 seconds , then a beats b by :", + "Output Program": [ + "n0 = 90.0\nn1 = 20.0\nn2 = 25.0\nt0 = n2 - n1\nt1 = t0 / n2\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "at 3 : 40 , the hour hand and the minute hand of a clock form an angle of :", + "Output Program": [ + "n0 = 3.0\nn1 = 40.0\nt0 = n1 / 60.0\nt1 = 3.0 * 60.0\nt2 = n0 + t0\nt3 = t1 * 2.0\nt4 = t3 / 3.0\nt5 = t0 * t3\nt6 = t4 / 4.0\nt7 = t2 * t6\nanswer = t5 - t7\nprint(answer)" + ], + "Output Answer": [ + "130" + ], + "split": "train" + }, + { + "Input": "express 60 mps in kmph ?", + "Output Program": [ + "n0 = 60.0\nt0 = n0 / 1000.0\nanswer = t0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "216" + ], + "split": "train" + }, + { + "Input": "convert the 12 / 43 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 12.0\nn1 = 43.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "1.0046511627906978" + ], + "split": "train" + }, + { + "Input": "in an intercollegiate competition that lasted for 3 days , 175 students took part on day 1 , 210 on day 2 and 150 on day 3 . if 80 took part on day 1 and day 2 and 70 took part on day 2 and day 3 and 20 took part on all three days , how many students took part only on day 1 ?", + "Output Program": [ + "n0 = 3.0\nn1 = 175.0\nn2 = 1.0\nn3 = 210.0\nn4 = 2.0\nn5 = 150.0\nn6 = 3.0\nn7 = 80.0\nn8 = 1.0\nn9 = 2.0\nn10 = 70.0\nn11 = 2.0\nn12 = 3.0\nn13 = 20.0\nn14 = 1.0\nt0 = n7 + n13\nt1 = n7 + n10\nt2 = n13 + t1\nt3 = n3 - t2\nt4 = n13 + t3\nt5 = t4 / n4\nt6 = t0 + t5\nanswer = n1 - t6\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "a train 210 metres long is moving at a speed of 25 kmph . it will cross a man coming from the opposite direction at a speed of 2 km per hour in :", + "Output Program": [ + "n0 = 210.0\nn1 = 25.0\nn2 = 2.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "light glows for every 13 seconds . how many times did it between 1 : 57 : 58 and 3 : 20 : 47 am", + "Output Program": [ + "n0 = 13.0\nn1 = 1.0\nn2 = 57.0\nn3 = 58.0\nn4 = 3.0\nn5 = 20.0\nn6 = 47.0\nt0 = n6 + 2.0\nt1 = 2.0 + 60.0\nt2 = n5 + t1\nt3 = t2 * 60.0\nt4 = t0 + t3\nanswer = t4 / n0\nprint(answer)" + ], + "Output Answer": [ + "382.2307692307692" + ], + "split": "train" + }, + { + "Input": "if 7 men and 2 boys working together , can do 6 times as much work per hour as a man and a boy together . find the ratio of the work done by a man and that of a boy for a given time ?", + "Output Program": [ + "n0 = 7.0\nn1 = 2.0\nn2 = 6.0\nt0 = n1 + n1\nanswer = t0 / 1.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a type r machine can complete a job in 5 hours and a type b machine can complete the job in 7 hours . how many hours will it take 2 type r machines and 3 type b machines working together and independently to complete the job ?", + "Output Program": [ + "n0 = 5.0\nn1 = 7.0\nn2 = 2.0\nn3 = 3.0\nt0 = n2 / n0\nt1 = n3 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "1.2068965517241381" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water in 42 km / hr and the rate of current is 6 km / hr . the distance travelled downstream in 44 minutes is :", + "Output Program": [ + "n0 = 42.0\nn1 = 6.0\nn2 = 44.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "35.199999999999996" + ], + "split": "train" + }, + { + "Input": "arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 70 days .", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nn2 = 70.0\nt0 = n2 / n0\nt1 = n1 * t0\nanswer = n2 - t1\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "after an ice began to melt out from the freezer , in the first hour lost 3 / 4 , in the second hour lost 3 / 4 of its remaining . if after two hours , the volume is 0.75 cubic inches , what is the original volume of the cubic ice , in cubic inches ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 3.0\nn3 = 4.0\nn4 = 0.75\nt0 = n4 / 0.25\nanswer = t0 / 0.25\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "if 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days , the time taken by 15 men and 20 boys in doing the same type of work will be :", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 10.0\nn3 = 26.0\nn4 = 48.0\nn5 = 2.0\nn6 = 15.0\nn7 = 20.0\nt0 = n0 + 4.0\nt1 = n2 + n6\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a man rows his boat 78 km downstream and 50 km upstream , taking 2 hours each time . find the speed of the stream ?", + "Output Program": [ + "n0 = 78.0\nn1 = 50.0\nn2 = 2.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "if it takes a machine 3 \u2044 5 minute to produce one item , how many items will it produce in 2 hours ?", + "Output Program": [ + "n0 = 3.0\nn1 = 5.0\nn2 = 2.0\nt0 = n0 / n1\nt1 = n2 * 60.0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "two consultants can type up a report in 12.5 hours and edit it in 7.5 hours . if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone , how many e hours will it take if jim types the report and mary edits it immediately after he is done ?", + "Output Program": [ + "n0 = 12.5\nn1 = 7.5\nn2 = 30.0\nn3 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n2\nt2 = 1.0 / n1\nt3 = 1.0 / n3\nt4 = t0 - t1\nt5 = t2 - t3\nt6 = 1 / t4\nt7 = 1 / t5\nanswer = t6 + t7\nprint(answer)" + ], + "Output Answer": [ + "41.42857142857143" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 9 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "a can build a wall in the same time in which b and c together can do it . if a and b together could do it in 25 days and c alone in 35 days , in what time could b alone do it ?", + "Output Program": [ + "n0 = 210.0\nn1 = 1470.0\nt0 = 3.0 + 4.0\nt1 = n1 / n0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "49" + ], + "split": "train" + }, + { + "Input": "if 6 men and 8 boys can do a piece of work in 10 days while 26 men and 48 boys can do the same in 2 days , the time taken by 15 men and 20 boys in doing the same type of work will be ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 10.0\nn3 = 26.0\nn4 = 48.0\nn5 = 2.0\nn6 = 15.0\nn7 = 20.0\nt0 = n0 + 4.0\nt1 = n2 + n6\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a man goes downstream at 11 kmph , and upstream 8 kmph . the speed of the stream is", + "Output Program": [ + "n0 = 11.0\nn1 = 8.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "train" + }, + { + "Input": "in a 1000 m race , a beats b by 70 m and b beats c by 100 m . in the same race , by how many meters does a beat c ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 70.0\nn2 = 100.0\nt0 = n0 - n1\nt1 = n0 - n2\nt2 = t0 * t1\nt3 = t2 / n0\nanswer = n0 - t3\nprint(answer)" + ], + "Output Answer": [ + "163" + ], + "split": "train" + }, + { + "Input": "a trader sells 30 meters of cloth for rs . 4500 at the profit of rs . 10 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 30.0\nn1 = 4500.0\nn2 = 10.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "140" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 10 cm .", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 10.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "190" + ], + "split": "train" + }, + { + "Input": "36 men can complete a piece of work in 18 days . in how many days will 72 men complete the same work ?", + "Output Program": [ + "n0 = 36.0\nn1 = 18.0\nn2 = 72.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "the diameter of the wheel of a car is 120 m . how many revolution / min must the wheel makein order to keep a speed of 60 km / hour approximately ?", + "Output Program": [ + "n0 = 120.0\nn1 = 60.0\nt0 = 3.0 + 4.0\nt1 = n0 / 100.0\nt2 = n1 * 1000.0\nt3 = 10.0 * 2.0\nt4 = t3 + 2.0\nt5 = t2 / 60.0\nt6 = t4 / t0\nt7 = t6 * t1\nanswer = t5 / t7\nprint(answer)" + ], + "Output Answer": [ + "265.1515151515152" + ], + "split": "train" + }, + { + "Input": "a goods train leaves a station at a certain time and at a fixed speed . after ^ hours , an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph . this train catches up the goods train in 4 hours . find the speed of the goods train .", + "Output Program": [ + "n0 = 90.0\nn1 = 4.0\nt0 = 3.0 + 3.0\nt1 = n0 * n1\nt2 = n1 + t0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "rahul can do a work in 3 days while rajesh can do the same work in 2 days . both of them finish the work together and get $ 355 . what is the share of rahul ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 355.0\nt0 = n0 + n1\nt1 = n1 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "142" + ], + "split": "train" + }, + { + "Input": "two printing presses begin printing currency at the same time and at constant speeds . press f produces 5 - dollar bills at the rate of 1,000 bills per minute . press t produces 20 - dollar bills at the rate of 200 bills per minute . once the machines have begun printing , how many seconds does it take for press f to produce 50 dollars more currency than press t ?", + "Output Program": [ + "n0 = 5.0\nn1 = 1000.0\nn2 = 20.0\nn3 = 200.0\nn4 = 50.0\nt0 = 10.0 * 100.0\nt1 = n4 / t0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "rahul can do a work in 3 days while rajesh can do the same work in 2 days . both of them finish the work together and get $ 170 . what is the share of rahul ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 170.0\nt0 = n0 + n1\nt1 = n1 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "68" + ], + "split": "train" + }, + { + "Input": "cara leaves her home and walks toward don ' s house . two hours later , don leaves his home and walks toward cara ' s house . the distance between their homes is 45 kilometers , cara ' s walking speed is 6 km / h , and don ' s walking speed is 5 km / h . how many kilometers will cara walk before she meets don ?", + "Output Program": [ + "n0 = 45.0\nn1 = 6.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = n1 * 2.0\nt2 = n0 - t1\nt3 = t2 / t0\nt4 = n1 * t3\nanswer = t1 + t4\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "the speed of a bus increases by 2 km after every one hour . if the distance travelling in the first one hour was 35 km . what was the total distance travelled in 12 hours ?", + "Output Program": [ + "n0 = 2.0\nn1 = 35.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = n2 - 1.0\nt2 = n0 * t1\nt3 = n1 + t2\nt4 = n1 + t3\nanswer = t4 * t0\nprint(answer)" + ], + "Output Answer": [ + "552" + ], + "split": "train" + }, + { + "Input": "a courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm . the total number of bricks required is ?", + "Output Program": [ + "n0 = 25.0\nn1 = 16.0\nn2 = 20.0\nn3 = 10.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n2 * n3\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "20000" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 100 km in the first hour and 80 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 100.0\nn1 = 80.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 55 kmph and downstream at 65 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 55.0\nn1 = 65.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a rectangular grassy plot 110 m . by 65 m has a gravel path 2.5 m wide all round it on the inside . find the cost of gravelling the path at 60 paise per sq . metre", + "Output Program": [ + "n0 = 110.0\nn1 = 65.0\nn2 = 2.5\nn3 = 60.0\nt0 = n0 * n1\nt1 = n2 * 2.0\nt2 = n0 - t1\nt3 = n1 - t1\nt4 = t2 * t3\nt5 = t0 - t4\nt6 = n3 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "510" + ], + "split": "train" + }, + { + "Input": "a train is 360 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "an airplane covers 50 miles in 1 / 5 hours . how many miles can the airplane cover in 5 hours ?", + "Output Program": [ + "n0 = 50.0\nn1 = 1.0\nn2 = 5.0\nn3 = 5.0\nt0 = n0 * n2\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "1250" + ], + "split": "train" + }, + { + "Input": "in how many seconds will a train 180 meters long pass an oak tree , if the speed of the train is 36 km / hr ?", + "Output Program": [ + "n0 = 180.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190784" + ], + "split": "train" + }, + { + "Input": "a train of length 250 m crosses a bridge of length 180 m in 20 seconds . what is the speed of train ?", + "Output Program": [ + "n0 = 250.0\nn1 = 180.0\nn2 = 20.0\nt0 = n0 + n1\nt1 = t0 / n2\nanswer = t1 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "77.4" + ], + "split": "train" + }, + { + "Input": "a can do a work in 12 days . when he had worked for 3 days , b joinedhim . if they complete the work in 3 more days , in how manydays can balone finish the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 3.0\nn2 = 3.0\nt0 = 3.0 - 1.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a motorboat can go at 21 kmph and still water . it takes 7 hours to row from a to b and back . what is the distance between a and b if the speed of the stream is 3 kmph ?", + "Output Program": [ + "n0 = 21.0\nn1 = 7.0\nn2 = 3.0\nt0 = n0 + n2\nt1 = n0 - n2\nt2 = 1.0 / t0\nt3 = 1.0 / t1\nt4 = t2 + t3\nanswer = n1 / t4\nprint(answer)" + ], + "Output Answer": [ + "72.00000000000001" + ], + "split": "train" + }, + { + "Input": "the number of students in each section of a school is 24 . after admitting new students , three new sections were started . now , the total number of sections is 16 and there are 21 students in each section . the number of new students admitted is :", + "Output Program": [ + "n0 = 24.0\nn1 = 16.0\nn2 = 21.0\nt0 = n1 * n2\nt1 = n1 - 3.0\nt2 = n0 * t1\nanswer = t0 - t2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a man crosses a 600 m long street in 5 minutes . what is his speed in km per hour ?", + "Output Program": [ + "n0 = 600.0\nn1 = 5.0\nt0 = n0 / 1000.0\nt1 = n1 / 60.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "7.2" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 18 seconds . find the length of the train .", + "Output Program": [ + "n0 = 60.0\nn1 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "a can run 256 metre in 28 seconds and b in 32 seconds . by what distance a beat b ?", + "Output Program": [ + "n0 = 256.0\nn1 = 28.0\nn2 = 32.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 40 km and upstream 30 km taking 5 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 40.0\nn1 = 30.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "in one hour , a boat goes 21 km along the stream and 9 km against the stream . the speed of the boat in still water ( in km / hr ) is :", + "Output Program": [ + "n0 = 21.0\nn1 = 9.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 6 meters and a circumference of 8 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 8.0\nn3 = 10.0\nt0 = n0 / n2\nt1 = n1 / n3\nt2 = t1**min(2.0, 5)\nt3 = t0 * t2\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "48.00000000000001" + ], + "split": "train" + }, + { + "Input": "a cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom . if the cistern is full , the leak will empty it in ?", + "Output Program": [ + "n0 = 8.0\nt0 = n0 + 2.0\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t1 - t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "40.00000000000001" + ], + "split": "train" + }, + { + "Input": "find the distance covered by a man walking for 24 min at a speed of 10 km / hr ?", + "Output Program": [ + "n0 = 24.0\nn1 = 10.0\nt0 = n1 * 1000.0\nt1 = t0 / 60.0\nt2 = n0 * t1\nanswer = t2 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a train travels 225 km in 3.5 hours and 370 km in 5 hours . find the average speed of train .", + "Output Program": [ + "n0 = 225.0\nn1 = 3.5\nn2 = 370.0\nn3 = 5.0\nt0 = n0 + n2\nt1 = n1 + n3\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water in 42 km / hr and the rate of current is 8 km / hr . the distance travelled downstream in 44 minutes is :", + "Output Program": [ + "n0 = 42.0\nn1 = 8.0\nn2 = 44.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "36.666666666666664" + ], + "split": "train" + }, + { + "Input": "if 50 apprentices can finish a job in 4 hours , and 30 journeymen can finish the same job in 6 hours , how much of the job should be completed by 10 apprentices and 15 journeymen in one hour ?", + "Output Program": [ + "n0 = 50.0\nn1 = 4.0\nn2 = 30.0\nn3 = 6.0\nn4 = 10.0\nn5 = 15.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / 10.0\nt3 = t1 / n5\nt4 = 1.0 / t2\nt5 = 1.0 / t3\nanswer = t4 + t5\nprint(answer)" + ], + "Output Answer": [ + "0.13333333333333333" + ], + "split": "train" + }, + { + "Input": "how long will take a leak at the bottom of a tank to empty it if it will take 8 hours to fill it without the leak , but due to the leak it will take 9 hours to be filled ?", + "Output Program": [ + "n0 = 8.0\nn1 = 9.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "he greatest possible length which can be used to measure exactly the lengths 7 m , 3 m 85 cm , 12 m 95 cm is :", + "Output Program": [ + "n0 = 7.0\nn1 = 3.0\nn2 = 85.0\nn3 = 12.0\nn4 = 95.0\nt0 = 1.0 + 4.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "john bought 9.25 m of cloth for $ 425.50 . find the cost price per metre .", + "Output Program": [ + "n0 = 9.25\nn1 = 425.5\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "46" + ], + "split": "train" + }, + { + "Input": "a can go round a circular path 8 times in 40 minutes . if the diameter of the circle is increased to 10 times the original diameter , then the time required by a to go round the new path once , travelling at the same speed as before is", + "Output Program": [ + "n0 = 8.0\nn1 = 40.0\nn2 = 10.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "a worker can load one truck in 6 hours . a second worker can load the same truck in 8 hours . if both workers load one truck simultaneously while maintaining their constant rates , approximately how long , in hours , will it take them to fill one truck ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.428571428571429" + ], + "split": "train" + }, + { + "Input": "the radius of the wheel of a bus is 35 cms and the speed of the bus is 66 km / h , then the r . p . m . ( revolutions per minutes ) of the wheel is", + "Output Program": [ + "n0 = 35.0\nn1 = 66.0\nt0 = n1 * 1000.0\nt1 = 1.0 * 60.0\nt2 = 3.0 * 4.0\nt3 = 2.0 * 4.0\nt4 = n0 * 2.0\nt5 = t2 + 2.0\nt6 = t3 + 2.0\nt7 = t0 * 100.0\nt8 = t7 / t1\nt9 = t6**min(2.0, 5)\nt10 = t5 / t9\nt11 = t10 + 3.0\nt12 = t11 * t4\nanswer = t8 / t12\nprint(answer)" + ], + "Output Answer": [ + "500.4549590536851" + ], + "split": "train" + }, + { + "Input": "a train 110 m long is running with a speed of 84 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 84.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "4.399648028157747" + ], + "split": "train" + }, + { + "Input": "in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 60 questions and secures 160 marks , the no of questions he attempts correctly is :", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 60.0\nn3 = 160.0\nt0 = n2 + n3\nt1 = n0 + n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "on a map , 1.5 inches represent 24 miles . how many miles approximately is the distance if you measured 44 centimeters assuming that 1 - inch is 2.54 centimeters ?", + "Output Program": [ + "n0 = 1.5\nn1 = 24.0\nn2 = 44.0\nn3 = 1.0\nn4 = 2.54\nt0 = n2 / n4\nt1 = n1 / n0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "277.1653543307087" + ], + "split": "train" + }, + { + "Input": "a woman complete a journey in 30 hours . she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km .", + "Output Program": [ + "n0 = 30.0\nn1 = 21.0\nn2 = 24.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = t1 / t0\nt3 = n1 * t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "672" + ], + "split": "train" + }, + { + "Input": "a cistern has a leak which would empty the cistern in 20 minutes . a tap is turned on which admits 4 liters a minute into the cistern , and it is emptied in 24 minutes . how many liters does the cistern hold ?", + "Output Program": [ + "n0 = 20.0\nn1 = 4.0\nn2 = 24.0\n\nanswer = n0 * n2\nprint(answer)" + ], + "Output Answer": [ + "480" + ], + "split": "train" + }, + { + "Input": "the distance from city a to city b is 60 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ?", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nn2 = 30.0\nt0 = n0 / n1\nt1 = n2 / 60.0\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "if 18 persons can build a wall 140 m long in 42 days , the number of days that 30 persons will take to complete a similar wall 100 m long , is ?", + "Output Program": [ + "n0 = 18.0\nn1 = 140.0\nn2 = 42.0\nn3 = 30.0\nn4 = 100.0\nt0 = n0 * n4\nt1 = n1 * n3\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 52 kmph and including stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 52.0\nn1 = 45.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "8.076923076923077" + ], + "split": "train" + }, + { + "Input": "a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 2.5 liters per minute . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours . the capacity of the tank is ?", + "Output Program": [ + "n0 = 6.0\nn1 = 2.5\nn2 = 8.0\nt0 = n2 * 60.0\nt1 = n0 * 60.0\nt2 = t0 / t1\nt3 = n1 * t0\nt4 = t2 - 1.0\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "3600.000000000001" + ], + "split": "train" + }, + { + "Input": "p and q can complete a work in 40 days and 24 days respectively . p alone started the work and q joined him after 16 days till the completion of the work . how long did the work last ?", + "Output Program": [ + "n0 = 40.0\nn1 = 24.0\nn2 = 16.0\nt0 = n2 / n0\nt1 = 1 / n0\nt2 = 1 / n1\nt3 = t1 + t2\nt4 = 1.0 - t0\nt5 = t4 / t3\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "suresh can complete a job in 15 hours . ashutosh alone can complete the same job in 15 hours . suresh works for 9 hours and then the remaining job is completed by ashutosh . how many hours will it take ashutosh to complete the remaining job alone ?", + "Output Program": [ + "n0 = 15.0\nn1 = 15.0\nn2 = 9.0\nt0 = n2 / n0\nt1 = 1.0 - t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "noelle walks from point a to point b at an average speed of 4 kilometers per hour . at what speed , in kilometers per hour , must noelle walk from point b to point a so that her average speed for the entire trip is 6 kilometers per hour ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nt0 = n0 * n1\nt1 = n0 * 2.0\nt2 = t1 - n1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "in 120 m race , a covers the distance in 36 seconds and b in 45 seconds . in this race a beats b by :", + "Output Program": [ + "n0 = 120.0\nn1 = 36.0\nn2 = 45.0\nt0 = n0 / n2\nt1 = n2 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 450 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 450.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "26.997840172786177" + ], + "split": "train" + }, + { + "Input": "a taxi leaves point a 3 hours after a bus left the same spot . the bus is traveling 30 mph slower than the taxi . find the speed of the taxi , if it overtakes the bus in three hours .", + "Output Program": [ + "n0 = 3.0\nn1 = 30.0\nt0 = n0 + n0\nt1 = n0 * n1\nt2 = t1 + t1\nt3 = t0 - n0\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a single reservoir supplies the petrol to the whole city , while the reservoir is fed by a single pipeline filling the reservoir with the stream of uniform volume . when the reservoir is full and if 40,000 liters of petrol is used daily , the suply fails in 90 days . if 32,000 liters of petrol is used daily , it fails in 60 days . how much petrol can be used daily with out the supply ever failing ?", + "Output Program": [ + "n0 = 40000.0\nn1 = 90.0\nn2 = 32000.0\nn3 = 60.0\nt0 = n1 * n3\nt1 = 10.0 * 2.0\nt2 = 2 * (n3 * n3 + n3 * 180.0 + n3 * 180.0) # surface of a rectangular prism\nt3 = t0 + t2\nt4 = t3 + 180.0\nanswer = t4 + t1\nprint(answer)" + ], + "Output Answer": [ + "56000" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 100 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "275" + ], + "split": "train" + }, + { + "Input": "car x began traveling at an average speed of 35 miles per hour . after 72 minutes , car y began traveling at an average speed of 41 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?", + "Output Program": [ + "n0 = 35.0\nn1 = 72.0\nn2 = 41.0\nt0 = n1 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "245" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 36 km and upstream 48 km taking 6 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 36.0\nn1 = 48.0\nn2 = 6.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a is twice as fast as b . if b alone can do a piece of work in 10 days , in what time can a and b together complete the work ?", + "Output Program": [ + "n0 = 10.0\nt0 = 1.0 / n0\nt1 = t0 * 2.0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.333333333333333" + ], + "split": "train" + }, + { + "Input": "a 1500 m long train crosses a tree in 120 sec , how much time will it take to pass a platform 500 m long ?", + "Output Program": [ + "n0 = 1500.0\nn1 = 120.0\nn2 = 500.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "15 men take 21 days of 8 hrs . each to do a piece of work . how many days of 9 hrs . each would it take for 21 women if 3 women do as much work as 2 men ?", + "Output Program": [ + "n0 = 15.0\nn1 = 21.0\nn2 = 8.0\nn3 = 9.0\nn4 = 21.0\nn5 = 3.0\nn6 = 2.0\nt0 = n6 / n5\nt1 = n0 * n1\nt2 = n1 * n3\nt3 = n2 * t1\nt4 = t0 * t2\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "kathleen can paint a room in 3 hours , and anthony can paint an identical room in 4 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1.0 / t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "3.428571428571429" + ], + "split": "train" + }, + { + "Input": "trapezoid jklm in the x - y plane has coordinates j = ( \u2013 2 , \u2013 3 ) , k = ( \u2013 2 , 1 ) , l = ( 6 , 7 ) , and m = ( 6 , \u2013 3 ) . what is its perimeter ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 2.0\nn3 = 1.0\nn4 = 6.0\nn5 = 7.0\nn6 = 6.0\nn7 = 3.0\nt0 = n1 + n3\nt1 = n0 + n4\nt2 = n1 + n5\nt3 = t0 + 10.0\nt4 = t3 + t1\nanswer = t4 + t2\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "pavan travelled for 11 hours . he covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph . find the distance travelled by pavan ?", + "Output Program": [ + "n0 = 11.0\nn1 = 30.0\nn2 = 25.0\nt0 = n1 * 2.0\nt1 = n2 * 2.0\nt2 = 1 / t0\nt3 = 1 / t1\nt4 = t2 + t3\nt5 = 1 / t4\nanswer = n0 * t5\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "jenny has recently moved house and is working out her optimal commute . she can take an indirect route which involves taking a bus for 1 mile and then walk 0.75 miles . or she can take a direct route and walk for 1.5 miles and this takes her 30 minutes . what is the most amount time that the bus journey can take for jenny to be indifferent between the two routes assuming travel time is her only concern ?", + "Output Program": [ + "n0 = 1.0\nn1 = 0.75\nn2 = 1.5\nn3 = 30.0\nt0 = n2 / n3\nt1 = n1 / t0\nanswer = n3 - t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 2 days . with the help of c they finish the work in 1 days . c alone can do that piece of work in ?", + "Output Program": [ + "n0 = 2.0\nn1 = 1.0\nt0 = n1 / n0\nt1 = 1.0 - t0\nanswer = 1 / t1\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a car gets 32 miles to the gallon . if it is modified to use a solar panel , it will use only 80 percent as much fuel as it does now . if the fuel tank holds 12 gallons , how many more miles will the car be able to travel , per full tank of fuel , after it has been modified ?", + "Output Program": [ + "n0 = 32.0\nn1 = 80.0\nn2 = 12.0\nt0 = n0 / n1\nt1 = n0 * n2\nt2 = t0 * 100.0\nt3 = n2 * t2\nanswer = t3 - t1\nprint(answer)" + ], + "Output Answer": [ + "96" + ], + "split": "train" + }, + { + "Input": "john bought 9.25 m of cloth for $ 434.75 . find the cost price per metre .", + "Output Program": [ + "n0 = 9.25\nn1 = 434.75\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "47" + ], + "split": "train" + }, + { + "Input": "a certain automobile company \u2019 s best - selling model is the speedster . the speedster , like all of their other models , comes in coupe and convertible styles . 1 / 3 of the current inventory is speedsters , of which 4 / 5 are convertibles . if there are 30 vehicles that are not speedsters , how many speedster convertibles are there ?", + "Output Program": [ + "n0 = 1.0\nn1 = 3.0\nn2 = 4.0\nn3 = 5.0\nn4 = 30.0\nt0 = n2 / n3\nt1 = n0 / n1\nt2 = 1.0 - t1\nt3 = n4 / t2\nt4 = t3 * t1\nanswer = t0 * t4\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999998" + ], + "split": "train" + }, + { + "Input": "a and b start walking towards each other at 1 pm at speed of 5 kmph and 7 kmph . they were initially 24 km apart . at what time do they meet ?", + "Output Program": [ + "n0 = 1.0\nn1 = 5.0\nn2 = 7.0\nn3 = 24.0\nt0 = n1 + n2\nt1 = n3 / t0\nanswer = n0 + t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 27 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 27.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "450.00000000000006" + ], + "split": "train" + }, + { + "Input": "a certain electric - company plan offers customers reduced rates for electricity used between 8 p . m . and 8 a . m . weekdays and 24 hours a day saturdays and sundays . under this plan , the reduced rates x apply to what fraction of a week ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 24.0\nt0 = 2.0 + 3.0\nt1 = 3.0 + 4.0\nt2 = n2 / 2.0\nt3 = n2 * 2.0\nt4 = t0 * t2\nt5 = n2 * t1\nt6 = t4 + t3\nanswer = t6 / t5\nprint(answer)" + ], + "Output Answer": [ + "0.6428571428571429" + ], + "split": "train" + }, + { + "Input": "in traveling from a dormitory to a certain city , a student went 1 / 5 of the way by foot , 2 / 3 of the way by bus , and the remaining 4 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?", + "Output Program": [ + "n0 = 1.0\nn1 = 5.0\nn2 = 2.0\nn3 = 3.0\nn4 = 4.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 + t1\nt3 = n0 - t2\nt4 = 1 / t3\nanswer = n4 * t4\nprint(answer)" + ], + "Output Answer": [ + "30.000000000000007" + ], + "split": "train" + }, + { + "Input": "a tree of height 36 m is on one edge of a road broke at a certain height . it fell in such a way that the top of the tree touches the other edge of the road . if the breadth of the road is 12 m , then what is the height at which the tree broke ?", + "Output Program": [ + "n0 = 36.0\nn1 = 12.0\nt0 = n0 * 2.0\nt1 = n0**min(2.0, 5)\nt2 = n1**min(2.0, 5)\nt3 = t1 - t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a contractor is engaged for 30 days on the condition thathe receives rs . 25 for each day he works & is fined rs . 7.50 for each day is absent . he gets rs . 685 in all . for how many days was he absent ?", + "Output Program": [ + "n0 = 30.0\nn1 = 25.0\nn2 = 7.5\nn3 = 685.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = n3 + t1\nt3 = t2 / t0\nanswer = n0 - t3\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "two trains , each 100 m long , moving in opposite directions , cross other in 8 sec . if one is moving twice as fast the other , then the speed of the faster train is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 8.0\nt0 = n0 + n0\nt1 = 1.0 + 2.0\nt2 = n1 * t1\nt3 = t0 / t2\nt4 = t3 * 2.0\nt5 = t4 * 3600.0\nanswer = t5 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "60.00000000000001" + ], + "split": "train" + }, + { + "Input": "i flew my tiny seaplane to visit my mother . on the flight up , i flew at 110 mph . on the way home , i flew 88 mph . what was my average speed for the trip ?", + "Output Program": [ + "n0 = 110.0\nn1 = 88.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "99" + ], + "split": "train" + }, + { + "Input": "a person is traveling at 65 km / hr and reached his destiny in 3 hr then find the distance ?", + "Output Program": [ + "n0 = 65.0\nn1 = 3.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "195" + ], + "split": "train" + }, + { + "Input": "two pipes can fill a tank in 18 minutes and 20 minutes . an outlet pipe can empty the tank in 45 minutes . if all the pipes are opened when the tank is empty , then how many minutes will it take to fill the tank ?", + "Output Program": [ + "n0 = 18.0\nn1 = 20.0\nn2 = 45.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "0.08333333333333333" + ], + "split": "train" + }, + { + "Input": "aarti can do a piece of work in 5 days . in how many days will she complete three time of work of same type ?", + "Output Program": [ + "n0 = 5.0\n\nanswer = n0 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "50 men do a work in 100 days . how many men are needed to finish the work in 20 days ?", + "Output Program": [ + "n0 = 50.0\nn1 = 100.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "train" + }, + { + "Input": "a car takes 6 hours to cover a distance of 432 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 432.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "the perimeter of a rhombus is 52 units . one of its diagonal is 24 units . what is its second diagonals length ?", + "Output Program": [ + "import math\nn0 = 52.0\nn1 = 24.0\nt0 = n0 / 4.0\nt1 = n1 / 2.0\nt2 = t0**min(2.0, 5)\nt3 = t1**min(2.0, 5)\nt4 = t2 - t3\nt5 = math.sqrt(max(0, t4))\nanswer = t5 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a boatman goes 3 km against the current of the stream in 3 hour and goes 1 km along the current in 30 minutes . how long will it take to go 3 km in stationary water ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 1.0\nn3 = 30.0\nn4 = 3.0\nt0 = n0 / n0\nt1 = n2 / n3\nt2 = t1 * 60.0\nt3 = t0 + t2\nt4 = t3 / 2.0\nanswer = n4 / t4\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "if 8 women can color 400 m long cloth in 5 days , then 10 women can color 500 m long cloth in ?", + "Output Program": [ + "n0 = 8.0\nn1 = 400.0\nn2 = 5.0\nn3 = 10.0\nn4 = 500.0\nt0 = n0 * n2\nt1 = n1 / t0\nt2 = n3 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a 900 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 900.0\nn1 = 39.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "1050" + ], + "split": "train" + }, + { + "Input": "find the area of a cuboid of length 4 cm , breadth 6 cm . and height 5 cm .", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 5.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "a man traveled a total distance of 1800 km . he traveled one - third of the whole trip by plane and the distance traveled by train is two - thirds of the distance traveled by bus . if he traveled by train , plane and bus , how many kilometers did he travel by bus ?", + "Output Program": [ + "n0 = 1800.0\nt0 = 2.0 + 3.0\nt1 = n0 * 2.0\nt2 = t1 / 3.0\nt3 = t2 * 3.0\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "720" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 km / hr and crosses a 250 m long platform in 26 sec . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 250.0\nn2 = 26.0\nt0 = n0 / 3600.0\nt1 = t0 * 1000.0\nt2 = n2 * t1\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "270" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 km / hr and crosses a 150 m long platform in 26 sec . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 150.0\nn2 = 26.0\nt0 = n0 / 3600.0\nt1 = t0 * 1000.0\nt2 = n2 * t1\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "370" + ], + "split": "train" + }, + { + "Input": "two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s . if the circumference of the circle is 300 meters , after what time will they meet at the starting point ?", + "Output Program": [ + "n0 = 7.0\nn1 = 8.0\nn2 = 300.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a working mom wakes up every day at 7 am and goes to sleep at 11 pm . she works 8 hours a day . spends 2 hours working out at the gym . she spends 1.5 hours cooking dinner and doing dishes . she spends . 5 of an hour giving her daughter a bath . she spends 1 hour helping with homework and getting her daughter ready for bed . she spends another . 5 of an hour packing lunches for the family for the next day . she spends . 5 of an hour cleaning the house and 2 hours taking a shower and reading or watching t . v . before she goes to sleep . what percent of her day does she spend at work ?", + "Output Program": [ + "n0 = 7.0\nn1 = 11.0\nn2 = 8.0\nn3 = 2.0\nn4 = 1.5\nn5 = 5.0\nn6 = 1.0\nn7 = 5.0\nn8 = 5.0\nn9 = 2.0\nt0 = 3.0 * 4.0\nt1 = t0 - n0\nt2 = n1 + t1\nt3 = n2 / t2\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "if the product of two numbers is 17820 and their h . c . f . is 12 , find their l . c . m .", + "Output Program": [ + "n0 = 17820.0\nn1 = 12.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "1485" + ], + "split": "train" + }, + { + "Input": "the perimeter of a semi circle is 162 cm then the radius is ?", + "Output Program": [ + "n0 = 162.0\nt0 = 2.0 + 3.141592653589793\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "31.50774690151576" + ], + "split": "train" + }, + { + "Input": "together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many hours r would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ?", + "Output Program": [ + "n0 = 15.0\nn1 = 7.0\nn2 = 4.0\nn3 = 8.0\nn4 = 15.0\nn5 = 11.0\nt0 = 1.0 / n2\nt1 = 1.0 / n5\nt2 = t0 + t1\nt3 = t2 / n0\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . if they cross each other in 22 seconds , what is the ratio of their speeds ?", + "Output Program": [ + "n0 = 27.0\nn1 = 17.0\nn2 = 22.0\nt0 = n0 - n2\nt1 = n2 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "express 50 mps in kmph ?", + "Output Program": [ + "n0 = 50.0\nt0 = n0 / 1000.0\nanswer = t0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 138 m length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 72.0\nn2 = 138.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12.399008079353651" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 200 meters long running at the rate of 36 kmph take to pass a certain telegraph post ?", + "Output Program": [ + "n0 = 200.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "19.99840012798976" + ], + "split": "train" + }, + { + "Input": "suppose 3 monkeys take 3 minutes to eat 3 bananas . how many monkeys would it take to eat 6 bananas in 6 minutes ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 3.0\nn3 = 6.0\nn4 = 6.0\nt0 = n3 / n0\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 40 meters or 8 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 40.0\nn1 = 8.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "192" + ], + "split": "train" + }, + { + "Input": "in what time will a train 300 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 300.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "7.4994000479961604" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 3 hours ; b and c together can do it in 3 hours , while a and c together can do it in 2 hours . how long will b alone take to do it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "6.000000000000002" + ], + "split": "train" + }, + { + "Input": "in a 200 m race , if a gives b a start of 25 metres , then a wins the race by 10 seconds . alternatively , if a gives b a start of 45 metres the race ends in a dead heat . how long does a take to run 200 m ?", + "Output Program": [ + "n0 = 200.0\nn1 = 25.0\nn2 = 10.0\nn3 = 45.0\nn4 = 200.0\nt0 = n0 - n3\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "77.5" + ], + "split": "train" + }, + { + "Input": "if a farmer wants to plough a farm field on time , he must plough 340 hectares a day . for technical reasons he ploughed only 85 hectares a day , hence he had to plough 2 more days than he planned and he still has 40 hectares left . what is the area of the farm field and how many days the farmer planned to work initially ?", + "Output Program": [ + "n0 = 340.0\nn1 = 85.0\nn2 = 2.0\nn3 = 40.0\nt0 = n1 * n2\nt1 = n0 - n1\nt2 = n3 + t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "280" + ], + "split": "train" + }, + { + "Input": "p is 60 % more efficient than q . p can complete a work in 26 days . if p and q work together , how many days will it take to complete the same work ?", + "Output Program": [ + "n0 = 60.0\nn1 = 26.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 + 1.0\nt3 = n1 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a boy standing idle sounds a whistle to his friend at a distance of 1200 m moving away from him in a speeding car at 108 kms / hr . find the duration after which his friend is going to hear him . ( speed of sound = 330 m / sec ) .", + "Output Program": [ + "n0 = 1200.0\nn1 = 108.0\nn2 = 330.0\nt0 = n0 / n2\nt1 = 10.0 * 3.0\nt2 = t0 * t1\nt3 = t2 / n2\nanswer = t0 + t3\nprint(answer)" + ], + "Output Answer": [ + "3.9669421487603307" + ], + "split": "train" + }, + { + "Input": "john and david work at a hospital with 4 other workers . for an internal review , 2 of the 4 workers will be randomly chosen to be interviewed . what is the probability that john and david will both be chosen ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = n0 - 1.0\nt2 = 1.0 / t1\nt3 = t2 * t0\nanswer = n1 * t3\nprint(answer)" + ], + "Output Answer": [ + "0.16666666666666666" + ], + "split": "train" + }, + { + "Input": "on a trip , a cyclist averaged 8 miles per hour for the first 12 miles and 12 miles per hour for the remaining 24 miles . if the cyclist returned immediately via the same route and took a total of 7.5 hours for the round trip , what was the average speed ( in miles per hour ) for the return trip ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 12.0\nn3 = 24.0\nn4 = 7.5\nt0 = n1 + n3\nt1 = n1 / n0\nt2 = n3 / n2\nt3 = t1 + t2\nt4 = n4 - t3\nanswer = t0 / t4\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "working alone , pump a can empty a pool in 4 hours . working alone , pump b can empty the same pool in 6 hours . working together , how many minutes will it take pump a and pump b to empty the pool ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1 / t2\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "144.00000000000003" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 6.83 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 6.83\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "35.11707782401829" + ], + "split": "train" + }, + { + "Input": "jerry began driving from home on a trip averaging 30 miles per hour . how many miles per hour must carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after jerry ?", + "Output Program": [ + "n0 = 30.0\nn1 = 3.0\nn2 = 30.0\nt0 = n0 / 60.0\nt1 = n1 + t0\nt2 = n0 * t1\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "a boatman goes 4 km against the current of the stream in 4 hour and goes 1 km along the current in 20 minutes . how long will it take to go 6 km in stationary water ?", + "Output Program": [ + "n0 = 4.0\nn1 = 4.0\nn2 = 1.0\nn3 = 20.0\nn4 = 6.0\nt0 = n0 / n0\nt1 = n2 / n3\nt2 = t1 * 60.0\nt3 = t0 + t2\nt4 = t3 / 2.0\nanswer = n4 / t4\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 45 days and 40 days respectively . they began to do the work together but a leaves after some days and then b completed the remaining work in 23 days . the number of days after which a left the work was", + "Output Program": [ + "n0 = 45.0\nn1 = 40.0\nn2 = 23.0\nt0 = n2 / n1\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = t1 + t2\nt4 = 1.0 - t0\nanswer = t4 / t3\nprint(answer)" + ], + "Output Answer": [ + "9.000000000000002" + ], + "split": "train" + }, + { + "Input": "if 4 men can colour 48 m long cloth in 2 days , then 6 men can colour 72 m long cloth in", + "Output Program": [ + "n0 = 4.0\nn1 = 48.0\nn2 = 2.0\nn3 = 6.0\nn4 = 72.0\nt0 = n0 * n2\nt1 = n1 / t0\nt2 = n3 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "calculate the speed of a boat in still water ( in km / hr ) if in one hour , the boat goes 10 km / hr downstream and 4 km / hr upstream .", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "in what time will a railway train 64 m long moving at the rate of 46 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 64.0\nn1 = 46.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "5.008294988574827" + ], + "split": "train" + }, + { + "Input": "a computer factory produces 6048 computers per month at a constant rate , how many computers are built every 30 minutes assuming that there are 28 days in one month ?", + "Output Program": [ + "n0 = 6048.0\nn1 = 30.0\nn2 = 28.0\nt0 = n0 / n2\nt1 = n2 - 4.0\nt2 = t1 * 2.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "a runner runs the 40 miles from marathon to athens at a constant speed . halfway through the run she injures her foot , and continues to run at half her previous speed . if the second half takes her 5 hours longer than the first half , how many hours did it take the runner to run the second half ?", + "Output Program": [ + "n0 = 40.0\nn1 = 5.0\nt0 = n0 / 2.0\nt1 = t0 / n1\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "if it takes a machine 2 \u2044 5 minute to produce one item , how many items will it produce in 2 hours ?", + "Output Program": [ + "n0 = 2.0\nn1 = 5.0\nn2 = 2.0\nt0 = n0 / n1\nt1 = n2 * 60.0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 82 kmph and including stoppages , it is 75 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 82.0\nn1 = 75.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "5.121951219512195" + ], + "split": "train" + }, + { + "Input": "a train is 510 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 510.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "52" + ], + "split": "train" + }, + { + "Input": "sakshi can do a piece of work in 25 days . tanya is 25 % more efficient than sakshi . the number of days taken by tanya to do the same piece of work :", + "Output Program": [ + "n0 = 25.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a bus covers a distance of 12 km in 5 min . if it takes 5 sec to pass a telegraph post , then the length of the bus is ?", + "Output Program": [ + "n0 = 12.0\nn1 = 5.0\nn2 = 5.0\nt0 = n0 * 1000.0\nt1 = n1 * 60.0\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "x can finish a work in 18 days . y can finish the same work in 15 days . yworked for 10 days and left the job . how many days does x alone need to finish the remaining work ?", + "Output Program": [ + "n0 = 18.0\nn1 = 15.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = n2 * t0\nt3 = 1.0 - t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "6.000000000000001" + ], + "split": "train" + }, + { + "Input": "amar takes as much time in running 12 meters as a car takes in covering 48 meters . what will be the distance covered by amar during the time the car covers 1.6 km ?", + "Output Program": [ + "n0 = 12.0\nn1 = 48.0\nn2 = 1.6\nt0 = n2 * 1000.0\nt1 = n0 * t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "a man ate 100 bananas in 5 days , each day eating 6 more than the previous day . how many bananas did he eat on the first day ?", + "Output Program": [ + "n0 = 100.0\nn1 = 5.0\nn2 = 6.0\nt0 = n0 * 2.0\nt1 = n2 * 4.0\nt2 = t0 / n1\nt3 = t2 - t1\nanswer = t3 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "if takes 25.5 minutes to download a file using modem a . modem b work at 17 % of the speed of modem a . how long does it take to download a file using a modem b ?", + "Output Program": [ + "n0 = 25.5\nn1 = 17.0\nt0 = n0 * 100.0\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "a boat can travel with aspeed of 20 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 125 km downstream .", + "Output Program": [ + "n0 = 20.0\nn1 = 5.0\nn2 = 125.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "john bought 9.25 m of cloth for $ 397.75 . find the cost price per metre .", + "Output Program": [ + "n0 = 9.25\nn1 = 397.75\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "43" + ], + "split": "train" + }, + { + "Input": "two trains 135 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 135.0\nn1 = 165.0\nn2 = 80.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.447680047665153" + ], + "split": "train" + }, + { + "Input": "a is twice as good a workman as b and they took 8 days together to do the work b alone can do it in ?", + "Output Program": [ + "n0 = 8.0\nt0 = 1.0 + 2.0\nt1 = n0 * t0\nt2 = t1 / 2.0\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 170 m in length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 60.0\nn2 = 170.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "16.7986561075114" + ], + "split": "train" + }, + { + "Input": "a factory has three types of machines , each of which works at its own constant rate . if 7 machine as and 11 machine bs can produce 305 widgets per hour , and if 8 machine as and 22 machine cs can produce 600 widgets per hour , how many widgets could one machine a , one machine b , and one machine c produce in one 8 - hour day ?", + "Output Program": [ + "n0 = 7.0\nn1 = 11.0\nn2 = 305.0\nn3 = 8.0\nn4 = 22.0\nn5 = 600.0\nn6 = 8.0\nt0 = n5 / n1\nanswer = n3 * t0\nprint(answer)" + ], + "Output Answer": [ + "436.3636363636364" + ], + "split": "train" + }, + { + "Input": "in a 500 m race , the ratio of the speeds of two contestants a and b is 3 : 4 . a has a start of 140 m . then , a wins by", + "Output Program": [ + "n0 = 500.0\nn1 = 3.0\nn2 = 4.0\nn3 = 140.0\nt0 = n0 - n3\nt1 = n2 * t0\nt2 = t1 / n1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 2 hours . due to a leak at the bottom , it takes 3 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "if the weight of 12 meters long rod is 12.2 kg . what is the weight of 6 meters long rod ?", + "Output Program": [ + "n0 = 12.0\nn1 = 12.2\nn2 = 6.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "6.099999999999999" + ], + "split": "train" + }, + { + "Input": "\u2018 a \u2019 completes a work in 12 days . \u2018 b \u2019 completes the same work in 15 days . \u2018 a \u2019 started working alone and after 3 days b joined him . how many days will they now take together to complete the remaining work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 15.0\nn2 = 3.0\nt0 = 1.0 / n0\nt1 = n0 * n1\nt2 = n2**min(3.0, 5)\nt3 = t1 / t2\nt4 = n2 * t0\nt5 = 1.0 - t4\nanswer = t3 * t5\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "in a stream running at 2 kmph , a motor boat goes 6 km upstream and back again to the starting point in 33 minutes . find the speed of the motorboat in still water .", + "Output Program": [ + "n0 = 2.0\nn1 = 6.0\nn2 = 33.0\nt0 = n1 + n1\nt1 = n2 / 60.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "21.818181818181817" + ], + "split": "train" + }, + { + "Input": "if in a race of 110 m , a covers the distance in 20 seconds and b in 25 seconds , then a beats b by :", + "Output Program": [ + "n0 = 110.0\nn1 = 20.0\nn2 = 25.0\nt0 = n2 - n1\nt1 = t0 / n2\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "a , band c can do a piece of work in 35 days , 20 days and 55 days respectively , working alone . how soon can the work be done if a is assisted by band c on alternate days ?", + "Output Program": [ + "n0 = 35.0\nn1 = 20.0\nn2 = 55.0\nt0 = n2 / n0\nt1 = n2 / n1\nt2 = n2 / n2\nt3 = t0 + t1\nt4 = t0 + t2\nt5 = t3 + t4\nt6 = t5 / 2.0\nanswer = n2 / t6\nprint(answer)" + ], + "Output Answer": [ + "15.958549222797929" + ], + "split": "train" + }, + { + "Input": "a taxi leaves point a 4 hours after a bus left the same spot . the bus is traveling 30 mph slower than the taxi . find the speed of the taxi , if it overtakes the bus in two hours .", + "Output Program": [ + "n0 = 4.0\nn1 = 30.0\nt0 = n0 + n0\nt1 = 3.0 * n1\nt2 = t1 + t1\nt3 = t0 - n0\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "on a trip covering 400 km , a bicyclist travels the first 100 km at 20 km per hour and the remainder of the distance at 15 km per hour . what is the average speed , in km per hour , for the entire trip ?", + "Output Program": [ + "n0 = 400.0\nn1 = 100.0\nn2 = 20.0\nn3 = 15.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 / n3\nt3 = t0 + t2\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a person crosses a 1080 m long street in 14 minutes . what is his speed in km per hour ?", + "Output Program": [ + "n0 = 1080.0\nn1 = 14.0\nt0 = n0 / 1000.0\nt1 = n1 * 60.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.628571428571429" + ], + "split": "train" + }, + { + "Input": "a train consists of 12 boggies , each boggy 15 metres long . the train crosses a telegraph post in 18 seconds . due to some problem , one boggies were detached . the train now crosses a telegraph post in", + "Output Program": [ + "n0 = 12.0\nn1 = 15.0\nn2 = 18.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = t0 - n1\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "16.5" + ], + "split": "train" + }, + { + "Input": "natasha climbs up a hill , and descends along the same way she went up . it takes her 4 hours to reach the top and 2 hours to come back down . if her average speed along the whole journey is 2 kilometers per hour , what was her average speed ( in kilometers per hour ) while climbing to the top ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 2.0\nt0 = n0 + n1\nt1 = n2 * t0\nt2 = t1 / n1\nanswer = t2 / n0\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 135 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 135.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "p and q can complete a work in 80 days and 48 days respectively . p alone started the work and q joined him after 16 days till the completion of the work . how long did the work last ?", + "Output Program": [ + "n0 = 80.0\nn1 = 48.0\nn2 = 16.0\nt0 = n2 / n0\nt1 = 1 / n0\nt2 = 1 / n1\nt3 = t1 + t2\nt4 = 1.0 - t0\nt5 = t4 / t3\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a carpenter worked alone for 1 day on a job that would take him 4 more days to finish . he and another carpenter completed the job in 2 more days . how many days would it have taken the second carpenter to do the complete job working alone ?", + "Output Program": [ + "n0 = 1.0\nn1 = 4.0\nn2 = 2.0\nt0 = n0 + n1\nt1 = n2 * t0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "on a map the distance between two mountains is 312 inches . the actual distance between the mountains is 136 km . ram is camped at a location that on the map is 25 inch from the base of the mountain . how many km is he from the base of the mountain ?", + "Output Program": [ + "n0 = 312.0\nn1 = 136.0\nn2 = 25.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "10.897435897435898" + ], + "split": "train" + }, + { + "Input": "a owes b rs . 50 . he agrees to pay b over a number of consecutive days on a monday , paying single note or rs . 10 or rs . 20 on each day . in how many different ways can a repay b .", + "Output Program": [ + "import math\nn0 = 50.0\nn1 = 10.0\nn2 = 20.0\nt0 = n0 / n1\nt1 = math.factorial(min(15, int(3.0)))\nt2 = math.factorial(min(15, int(2.0)))\nt3 = math.factorial(min(15, int(4.0)))\nt4 = t1 / t2\nt5 = t3 / t1\nt6 = math.factorial(min(15, int(t0)))\nt7 = t4 + t5\nt8 = t6 / t6\nanswer = t7 + t8\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a and b can finish a work in 16 days while a alone can do the same work in 20 days . in how many days b alone will complete the work ?", + "Output Program": [ + "n0 = 16.0\nn1 = 20.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "80.00000000000001" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 54 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 54.0\nn1 = 18.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a train 360 m long can cross an electric pole in 30 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 360.0\nn1 = 30.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "43.199999999999996" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 4 hours ; b and c together can do it in 2 hours , which a and c together can do it in 2 hours . how long will b alone take to do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a train of length 250 m crosses a bridge of length 150 m in 32 seconds . what is the speed of train ?", + "Output Program": [ + "n0 = 250.0\nn1 = 150.0\nn2 = 32.0\nt0 = n0 + n1\nt1 = t0 / n2\nanswer = t1 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 54 km / hr crosses a pole in 9 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 54.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "135" + ], + "split": "train" + }, + { + "Input": "250 men work for 16 days and finish a work . how many men would do a job 3 times the previous one in 20 days ?", + "Output Program": [ + "n0 = 250.0\nn1 = 16.0\nn2 = 3.0\nn3 = 20.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / n3\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "two trains start simultaneously from opposite ends of a 160 - km route and travel toward each other on parallel tracks . train x , traveling at a constant rate , completes the 160 - km trip in 5 hours . train y , travelling at a constant rate , completes the 160 - km trip in 3 hours . how many kilometers had train x traveled when it met train y ?", + "Output Program": [ + "n0 = 160.0\nn1 = 160.0\nn2 = 5.0\nn3 = 160.0\nn4 = 3.0\nt0 = n0 / n2\nt1 = n0 / n4\nt2 = t0 + t1\nt3 = n0 / t2\nanswer = t0 * t3\nprint(answer)" + ], + "Output Answer": [ + "59.99999999999999" + ], + "split": "train" + }, + { + "Input": "an athlete runs 200 metres race in 40 seconds . what is his speed ?", + "Output Program": [ + "n0 = 200.0\nn1 = 40.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a pet groomer has 7 animals to groom for the day ( 2 cats and 5 dogs ) . if she randomly selects 4 animals to groom before lunch , what is the probability she will finish all the cats before lunch ?", + "Output Program": [ + "n0 = 7.0\nn1 = 2.0\nn2 = 5.0\nn3 = 4.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "0.2857142857142857" + ], + "split": "train" + }, + { + "Input": "alice can bake a pie in 5 minutes . bob can bake a pie in 6 minutes . compute how many more pies alice can bake than bob in 60 minutes .", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 60.0\nt0 = n2 / n0\nt1 = n2 / n1\nanswer = t0 - t1\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a building contractor employs 20 male , 15 female and 5 child workers . to a male worker he pays rs . 35 per day , to a female worker rs . 20 per day and a child worker rs . 8 per day . the average wage per day paid by the contractor is ?", + "Output Program": [ + "n0 = 20.0\nn1 = 15.0\nn2 = 5.0\nn3 = 35.0\nn4 = 20.0\nn5 = 8.0\nt0 = n0 + n1\nt1 = n0 * n3\nt2 = n0 * n1\nt3 = n2 * n5\nt4 = t1 + t2\nt5 = n2 + t0\nt6 = t4 + t3\nanswer = t6 / t5\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "how long does a train 200 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length ?", + "Output Program": [ + "n0 = 200.0\nn1 = 72.0\nn2 = 132.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "16.5986721062315" + ], + "split": "train" + }, + { + "Input": "micheal and adam can do together a piece of work in 20 days . after they have worked together for 14 days micheal stops and adam completes the remaining work in 10 days . in how many days micheal complete the work separately .", + "Output Program": [ + "n0 = 20.0\nn1 = 14.0\nn2 = 10.0\nt0 = 1 / n0\nt1 = n1 * t0\nt2 = 1.0 - t1\nt3 = 1 / t2\nt4 = n2 * t3\nt5 = 1 / t4\nt6 = t0 - t5\nanswer = 1 / t6\nprint(answer)" + ], + "Output Answer": [ + "49.99999999999997" + ], + "split": "train" + }, + { + "Input": "in what time will a train 100 m long cross an electric pole , it its speed be 72 km / hr ?", + "Output Program": [ + "n0 = 100.0\nn1 = 72.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.99960003199744" + ], + "split": "train" + }, + { + "Input": "how many bricks , each measuring 5 cm x 11 cm x 6 cm , will be needed to build a wall of 8 m x 6 m x 2 cm ?", + "Output Program": [ + "n0 = 5.0\nn1 = 11.0\nn2 = 6.0\nn3 = 8.0\nn4 = 6.0\nn5 = 2.0\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "2909.090909090909" + ], + "split": "train" + }, + { + "Input": "liam is pulled over for speeding just as he is arriving at work . he explains to the police officer that he could not afford to be late today , and has arrived at work only four minutes before he is to start . the officer explains that if liam had driven 5 mph slower for his whole commute , he would have arrived at work exactly on time . if liam ' s commute is 20 miles long , how fast was he actually driving ? ( assume that liam drove at a constant speed for the duration of his commute . )", + "Output Program": [ + "n0 = 5.0\nn1 = 20.0\nt0 = n0 * 4.0\nanswer = n1 + t0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 100 km / hr crosses a pole in 18 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 100.0\nn1 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "a man walking at a constant rate of 5 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 25 miles per hour . the woman stops to wait for the man 5 minutes after passing him , while the man continues to walk at his constant rate . how many minutes must the woman wait until the man catches up ?", + "Output Program": [ + "n0 = 5.0\nn1 = 25.0\nn2 = 5.0\nt0 = n2 / 60.0\nt1 = n1 - n0\nt2 = t0 * t1\nt3 = t2 / n0\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two trains of equal lengths take 10 sec and 18 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?", + "Output Program": [ + "n0 = 10.0\nn1 = 18.0\nn2 = 120.0\nt0 = n2 * 2.0\nt1 = n2 / n1\nt2 = n2 / n0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "12.857142857142856" + ], + "split": "train" + }, + { + "Input": "a tank with a volume of 30 cubic feet has one inlet pipe and 2 outlet pipes . the inlet pipe fills water into the tank at the rate of 3 cubic inches / min and the 2 outlet pipes empty it out at the rates of 9 cubic inches / min and 6 cubic inches / min respectively . if all 3 pipes are opened when the tank is full , how many minutes does it take to empty the tank ? ( 1 foot = 12 inches )", + "Output Program": [ + "n0 = 30.0\nn1 = 2.0\nn2 = 3.0\nn3 = 2.0\nn4 = 9.0\nn5 = 6.0\nn6 = 3.0\nn7 = 1.0\nn8 = 12.0\nt0 = n4 + n5\nt1 = n8**min(n2, 5)\nt2 = n0 * t1\nt3 = t0 - n2\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "4320" + ], + "split": "train" + }, + { + "Input": "a cistern is normally filled in 12 hours but takes two hours longer to fill because of a leak in its bottom . if the cistern is full , the leak will empty it in ?", + "Output Program": [ + "n0 = 12.0\nt0 = n0 + 2.0\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t1 - t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "train" + }, + { + "Input": "45 litres of diesel is required to travel 600 km using a 800 cc engine . if the volume of diesel required to cover a distance varies directly as the capacity of the engine , then how many litres of diesel is required to travel 800 km using 1200 cc engine ?", + "Output Program": [ + "n0 = 45.0\nn1 = 600.0\nn2 = 800.0\nn3 = 800.0\nn4 = 1200.0\nt0 = n1 * n2\nt1 = n0 / t0\nt2 = n2 * t1\nanswer = n4 * t2\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "the ratio between the length and the breadth of a rectangular park is 1 : 3 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 4 min , then the area of the park ( in sq . m ) is ?", + "Output Program": [ + "n0 = 1.0\nn1 = 3.0\nn2 = 12.0\nn3 = 4.0\nt0 = n0 + n1\nt1 = 2.0 * 3.0\nt2 = t1 * 10.0\nt3 = n2 / t2\nt4 = n3 * t3\nt5 = t4 * 1000.0\nt6 = t5 / t0\nt7 = t6 / 2.0\nt8 = n1 * t7\nanswer = t7 * t8 # area of rectangle\nprint(answer)" + ], + "Output Answer": [ + "30000" + ], + "split": "train" + }, + { + "Input": "a train , 120 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds . the length of the bridge is", + "Output Program": [ + "n0 = 120.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "255.02999999999997" + ], + "split": "train" + }, + { + "Input": "a train with 120 wagons crosses john who is going in the same direction , in 36 seconds . it travels for half an hour from the time it starts overtaking the john ( he is riding on the horse ) before it starts overtaking the mike ( who is also riding on his horse ) coming from the opposite direction in 24 seconds . in how much time ( in secs ) after the train has crossed the mike do the john meets to mike ?", + "Output Program": [ + "n0 = 120.0\nn1 = 36.0\nn2 = 24.0\nt0 = n1 + n2\nt1 = 10.0 * 3.0\nt2 = n1 - n2\nt3 = t0 / t2\nt4 = t1 * 60.0\nt5 = t3 - 1.0\nt6 = t4 * t5\nt7 = t6 / 2.0\nanswer = t7 - n2\nprint(answer)" + ], + "Output Answer": [ + "3576" + ], + "split": "train" + }, + { + "Input": "two trains 100 m and 60 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 60.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.759539236861052" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 120 meters long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 120.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "255" + ], + "split": "train" + }, + { + "Input": "a is twice as good a workman as b and they took 7 days together to do the work b alone can do it in ?", + "Output Program": [ + "n0 = 7.0\nt0 = 1.0 + 2.0\nt1 = n0 * t0\nt2 = t1 / 2.0\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "36 men can complete a piece of work in 18 days . in how days will 27 men can complete the work ?", + "Output Program": [ + "n0 = 36.0\nn1 = 18.0\nn2 = 27.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "renu can do a piece of work in 8 days , but with the help of her friend suma , she can do it in 3 days . in what time suma can do it alone ?", + "Output Program": [ + "n0 = 8.0\nn1 = 3.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.800000000000001" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 54 kmph and including stoppages , it is 36 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 54.0\nn1 = 36.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a worker can load one truck in 6 hours . a second worker can load the same truck in 5 hours . if both workers load one truck simultaneously while maintaining their constant rates , approximately how long , in hours , will it take them to fill one truck ?", + "Output Program": [ + "n0 = 6.0\nn1 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "2.727272727272727" + ], + "split": "train" + }, + { + "Input": "the speed of a train is 102 kmph . what is the distance covered by it in 30 minutes ?", + "Output Program": [ + "n0 = 102.0\nn1 = 30.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "51" + ], + "split": "train" + }, + { + "Input": "20 machines can do a work in 10 days . how many machines are needed to complete the work in 40 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 40.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "working individually , jane can bake cakes for 4 hours and roy can bake cakes in 5 hours . if jane and roy work together but independently at the task for 2 hours , at which point roy leaves , how many remaining hours will it take jane to complete the task alone ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 2.0\n\nanswer = n0 / 10.0\nprint(answer)" + ], + "Output Answer": [ + "0.4" + ], + "split": "train" + }, + { + "Input": "two drivers began their journey with the same amount of petrol in their cars at the same time . the only difference is that the first driver \ufffd s car could drive 4 hours in that amount of petrol and the second one could drive 5 hours . however , they only drove for some time and found that the amount of petrol that was left in one of the cars was 4 times the petrol left in the other one . for how long had they driven at this point of time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = n0 - 1.0\nt3 = n0 * t0\nt4 = t3 - t1\nanswer = t2 / t4\nprint(answer)" + ], + "Output Answer": [ + "3.75" + ], + "split": "train" + }, + { + "Input": "tim came second in math . when his mother asked him how much he had scored , he answered that he got the sum of the first 11 even numbers . his mother immediately worked out the answer . how much had he scored in math ?", + "Output Program": [ + "n0 = 11.0\nt0 = n0 + 1.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "132" + ], + "split": "train" + }, + { + "Input": "a rocket soars for 12 seconds at 150 meters per second . it then plummets 600 meters in 3 seconds . what is the average speed of the rocket in meters per second ?", + "Output Program": [ + "n0 = 12.0\nn1 = 150.0\nn2 = 600.0\nn3 = 3.0\nt0 = n0 + n3\nt1 = n0 * n1\nt2 = n2 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "20 beavers , working together in a constant pace , can build a dam in 3 hours . how many hours x will it take 12 beavers that work at the same pace , to build the same dam ?", + "Output Program": [ + "n0 = 20.0\nn1 = 3.0\nn2 = 12.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "in a survey of 330 employees , 104 of them are uninsured , 54 work part time , and 12.5 percent of employees who are uninsured work part time . if a person is to be randomly selected from those surveyed , what is the probability that the person will neither work part time nor be uninsured ?", + "Output Program": [ + "n0 = 330.0\nn1 = 104.0\nn2 = 54.0\nn3 = 12.5\nt0 = n1 * n3\nt1 = 1.0 * 100.0\nt2 = t0 / t1\nt3 = n2 - t2\nt4 = n1 + t3\nt5 = n0 - t4\nanswer = t5 / n0\nprint(answer)" + ], + "Output Answer": [ + "0.5606060606060606" + ], + "split": "train" + }, + { + "Input": "a cistern is filled by pipe a in 10 hours and the full cistern can be leaked out by an exhaust pipe b in 12 hours . if both the pipes are opened , in what time the cistern is full ?", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "59.999999999999964" + ], + "split": "train" + }, + { + "Input": "a car covers a distance of 624 km in 3 hours . find its speed ?", + "Output Program": [ + "n0 = 624.0\nn1 = 3.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "208" + ], + "split": "train" + }, + { + "Input": "it was calculated that 50 men could complete a piece of work in 10 days . when work was scheduled to commence , it was found necessary to send 25 men to another project . how much longer will it take to complete the work ?", + "Output Program": [ + "n0 = 50.0\nn1 = 10.0\nn2 = 25.0\nt0 = n0 / n2\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "when m divided by 288 , the remainder is 47 . find the remainder when the same m is divided by 24 ?", + "Output Program": [ + "n0 = 288.0\nn1 = 47.0\nn2 = 24.0\n\nanswer = n1 % n2\nprint(answer)" + ], + "Output Answer": [ + "23" + ], + "split": "train" + }, + { + "Input": "two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train catches and completely passes the slower train in 72 seconds . what is the length of each train ( in meters ) ?", + "Output Program": [ + "n0 = 46.0\nn1 = 36.0\nn2 = 72.0\nt0 = n0 - n1\nt1 = t0 * 1000.0\nt2 = t1 / 3600.0\nt3 = n2 * t2\nanswer = t3 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "walking with 4 / 5 of my usual speed , i arrive at the bus stop 8 minutes later than normal . how many minutes does it take to walk to the bus stop at my usual speed ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 8.0\nt0 = n1 / n0\nt1 = t0 - 1.0\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 4 hours to complete the journey . if the distance between city a and city b is 570 kms and city a and city c is 300 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 570.0\nn3 = 300.0\nt0 = n2 / n0\nt1 = n3 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "2.533333333333333" + ], + "split": "train" + }, + { + "Input": "two trains 180 m and 360 m long run at the speed of 60 kmph and 30 kmph in opposite directions in parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 180.0\nn1 = 360.0\nn2 = 60.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "21.598272138228943" + ], + "split": "train" + }, + { + "Input": "36 men can complete a piece of work in 18 days . in how many days will 9 men complete the same work ?", + "Output Program": [ + "n0 = 36.0\nn1 = 18.0\nn2 = 9.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "the diameter of a garden roller is 1.4 m and it is 4 m long . how much area will it cover in 5 revolutions ? ( use \u00ef \u20ac = 22 \u00e2 \u0081 \u201e 7 )", + "Output Program": [ + "n0 = 1.4\nn1 = 4.0\nn2 = 5.0\nn3 = 22.0\nn4 = 7.0\nt0 = n0 / n1\nt1 = n3 / n4\nt2 = t1 * n1\nt3 = t0 * t2\nt4 = n1 * t3\nanswer = n2 * t4\nprint(answer)" + ], + "Output Answer": [ + "87.99999999999999" + ], + "split": "train" + }, + { + "Input": "a crow leaves its nest , and flies back and forth from its nest to a nearby ditch to gather worms . the distance between the nest and the ditch is 400 meters . in one and a half hours , the crow manages to bring worms to its nest 15 times . what is the speed of the crow in kilometers per hour ?", + "Output Program": [ + "n0 = 400.0\nn1 = 15.0\nt0 = n1 / 10.0\nt1 = n1 * 2.0\nt2 = n0 * t1\nt3 = t2 / 1000.0\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a train of length 240 m crosses a bridge of length 150 m in 20 seconds . what is the speed of train ?", + "Output Program": [ + "n0 = 240.0\nn1 = 150.0\nn2 = 20.0\nt0 = n0 + n1\nt1 = t0 / n2\nanswer = t1 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "70.2" + ], + "split": "train" + }, + { + "Input": "car a is 24 miles behind car b , which is traveling in the same direction along the same route as car a . car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour . how many hours will it take for car a to overtake and drive 8 miles ahead of car b ?", + "Output Program": [ + "n0 = 24.0\nn1 = 58.0\nn2 = 50.0\nn3 = 8.0\nt0 = n0 + n3\nt1 = n1 - n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "if two trains are 120 miles apart and are traveling toward each other at constant rate of 30 miles per hour and 40 miles per hour , respectively , how far apart will they be 1 hour before they meet ?", + "Output Program": [ + "n0 = 120.0\nn1 = 30.0\nn2 = 40.0\nn3 = 1.0\nt0 = n1 + n2\nt1 = n0 / t0\nt2 = t1 - n3\nt3 = n1 * t2\nt4 = n2 * t2\nt5 = t3 + t4\nanswer = n0 - t5\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "if 30 honey bees make 30 grams of honey in 30 days , then 1 honey bee will make 1 gram of honey in how many days ?", + "Output Program": [ + "n0 = 30.0\nn1 = 30.0\nn2 = 30.0\nn3 = 1.0\nn4 = 1.0\nt0 = n3 / n0\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 36 kilometers , maxwell ' s walking speed is 3 km / h , and brad ' s running speed is 6 km / h . what is the distance traveled by maxwell when they meet in the middle ?", + "Output Program": [ + "n0 = 36.0\nn1 = 3.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "stacy and heather are 15 miles apart and walk towards each other along the same route . stacy walks at constant rate that is 1 mile per hour fast than heather ' s constant rate of 5 miles / hour . if heather starts her journey 24 minutes after stacy , how far from the original destination has heather walked when the two meet ? .", + "Output Program": [ + "n0 = 15.0\nn1 = 1.0\nn2 = 5.0\nn3 = 24.0\nt0 = n1 + n2\nt1 = n2 + t0\nt2 = t0 / 60.0\nt3 = n3 * t2\nt4 = n0 - t3\nt5 = t4 / t1\nanswer = n2 * t5\nprint(answer)" + ], + "Output Answer": [ + "5.7272727272727275" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 10 cm and 18 cm long , and the distance between them is 15 cm .", + "Output Program": [ + "n0 = 10.0\nn1 = 18.0\nn2 = 15.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "210" + ], + "split": "train" + }, + { + "Input": "18 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?", + "Output Program": [ + "n0 = 18.0\nn1 = 8.0\nn2 = 30.0\nn3 = 50.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n3 * t1\nt3 = t2 / n4\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "the cross - section of a tunnel is a trapezium in shape . if the tunnel is 15 m wide at the top and 5 m wide at the bottom and the area of cross - section is 400 sq m , the depth of tunnel is ?", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\nn2 = 400.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nt2 = n2 / t1\nanswer = t2 * 10.0\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "the amounts of time that three secretaries worked on a special project are in the ratio of 1 to 2 to 5 . if they worked a combined total of 120 hours , how many hours did the secretary who worked the longest spend on the project ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 5.0\nn3 = 120.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n3 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "pipe a fills a tank in 56 minutes . pipe b can fill the same tank 7 times as fast as pipe a . if both the pipes are kept open when the tank is empty , how many minutes will it take to fill the tank ?", + "Output Program": [ + "n0 = 56.0\nn1 = 7.0\nt0 = 1.0 / n0\nt1 = n1 / n0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a contractor undertakes to built a walls in 50 days . he employs 20 peoples for the same . however after 25 days he finds that only 40 % of the work is complete . how many more man need to be employed to complete the work in time ?", + "Output Program": [ + "n0 = 50.0\nn1 = 20.0\nn2 = 25.0\nn3 = 40.0\nt0 = 4.0 / 10.0\nt1 = 100.0 - n3\nt2 = t1 / 100.0\nt3 = n1 * t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "calculate the speed of a boat in still water ( in km / hr ) if in one hour , the boat goes 15 km / hr downstream and 7 km / hr upstream .", + "Output Program": [ + "n0 = 15.0\nn1 = 7.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "riya and priya set on a journey . riya moves eastward at a speed of 21 kmph and priya moves westward at a speed of 22 kmph . how far will be priya from riya after 60 minutes", + "Output Program": [ + "n0 = 21.0\nn1 = 22.0\nn2 = 60.0\nt0 = n0 + n1\nt1 = t0 / 60.0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "43" + ], + "split": "train" + }, + { + "Input": "two trains 200 m and 300 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 200.0\nn1 = 300.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190788" + ], + "split": "train" + }, + { + "Input": "25 binders can bind 1400 books in 21 days . how many binders will be required to bind 1600 books in 20 days ?", + "Output Program": [ + "n0 = 25.0\nn1 = 1400.0\nn2 = 21.0\nn3 = 1600.0\nn4 = 20.0\nt0 = n3 / n4\nt1 = n0 * n2\nt2 = n1 / t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "the ratio of the capacity to do work of a and b is 3 : 2 . if they together can complete a work in 18 days , then how long does a take to complete the work alone ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 18.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = t0 + t1\nt3 = t2 / n0\nt4 = n0 * t3\nanswer = t4 / n1\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "a train is 400 meter long is running at a speed of 60 km / hour . in what time will it pass a bridge of 800 meter length ?", + "Output Program": [ + "n0 = 400.0\nn1 = 60.0\nn2 = 800.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "excluding the stoppages , the speed of a bus is 64 km / hr and including the stoppages the speed o the bus is 48 km / hr . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 64.0\nn1 = 48.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 90 km in the first hour and 55 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 90.0\nn1 = 55.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "72.5" + ], + "split": "train" + }, + { + "Input": "a contractor undertakes to built a walls in 50 days . he employs 70 peoples for the same . however after 25 days he finds that only 40 % of the work is complete . how many more man need to be employed to complete the work in time ?", + "Output Program": [ + "n0 = 50.0\nn1 = 70.0\nn2 = 25.0\nn3 = 40.0\nt0 = 4.0 / 10.0\nt1 = 100.0 - n3\nt2 = t1 / 100.0\nt3 = n1 * t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "105" + ], + "split": "train" + }, + { + "Input": "a carpenter worked alone for 1 day on a job that would take him 6 more days to finish . he and another carpenter completed the job in 5 more days . how many days would it have taken the second carpenter to do the complete job working alone ?", + "Output Program": [ + "n0 = 1.0\nn1 = 6.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = n2 * t0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "17.5" + ], + "split": "train" + }, + { + "Input": "a is twice as good a workman as b and they took 7 days together to do the work b alone can do it in .", + "Output Program": [ + "n0 = 7.0\nt0 = 1.0 + 2.0\nt1 = n0 * t0\nt2 = t1 / 2.0\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "a train , 155 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds . the length of the bridge is", + "Output Program": [ + "n0 = 155.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "220.02999999999997" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 1200 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 1200.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "24750" + ], + "split": "train" + }, + { + "Input": "15 men take 21 days of 8 hrs . each to do a piece of work . how many days of 6 hrs . each would it take for 21 women if 3 women do as much work as 2 men ?", + "Output Program": [ + "n0 = 15.0\nn1 = 21.0\nn2 = 8.0\nn3 = 6.0\nn4 = 21.0\nn5 = 3.0\nn6 = 2.0\nt0 = n6 / n5\nt1 = n0 * n1\nt2 = n1 * n3\nt3 = n2 * t1\nt4 = t0 * t2\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a worker makes a toy in every 2 h . if he works for 120 h , then how many toys will he make ?", + "Output Program": [ + "n0 = 2.0\nn1 = 120.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a certain number of men can finish a piece of work in 10 days . however , if there were 10 less men it will take 10 days more for the work to be finished . how many men were there originally ?", + "Output Program": [ + "n0 = 10.0\nn1 = 10.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = n0 / t0\nt2 = 1.0 - t1\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . find the cost of paying the floor by slabs at the rate of rs . 1000 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 1000.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "20625" + ], + "split": "train" + }, + { + "Input": "two trains each 210 m in length each , are running on two parallel lines in opposite directions . if one goes at the speed of 90 km / h while the other travels at 85 km / h . how long will it take for them to pass each other completely .", + "Output Program": [ + "n0 = 210.0\nn1 = 90.0\nn2 = 85.0\nt0 = n0 + n0\nt1 = n1 + n2\nt2 = t0 / 1000.0\nt3 = t2 / t1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "8.639999999999999" + ], + "split": "train" + }, + { + "Input": "b completes a work in 8 days . a alone can do it in 10 days . if both work together , the work can be completed in how many days ?", + "Output Program": [ + "n0 = 8.0\nn1 = 10.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.444444444444445" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 17 cm", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 17.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "323" + ], + "split": "train" + }, + { + "Input": "laxmi and prasanna set on a journey . laxmi moves northwards at a speed of 40 kmph and prasanna moves southward at a speed of 38 kmph . how far will be prasanna from laxmi after 60 minutes ?", + "Output Program": [ + "n0 = 40.0\nn1 = 38.0\nn2 = 60.0\n\nanswer = n0 + n1\nprint(answer)" + ], + "Output Answer": [ + "78" + ], + "split": "train" + }, + { + "Input": "how long does a train 180 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length ?", + "Output Program": [ + "n0 = 180.0\nn1 = 54.0\nn2 = 660.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "55.99552035837134" + ], + "split": "train" + }, + { + "Input": "ajay can ride 50 km in 1 hour . in how many hours he can ride 750 km ?", + "Output Program": [ + "n0 = 50.0\nn1 = 1.0\nn2 = 750.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "in what time will a train 45 m long cross an electric pole , it its speed be 108 km / hr ?", + "Output Program": [ + "n0 = 45.0\nn1 = 108.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "1.4998800095992322" + ], + "split": "train" + }, + { + "Input": "in what time will a train 100 meters long cross an electric pole , if its speed is 360 km / hr", + "Output Program": [ + "n0 = 100.0\nn1 = 360.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.9999200063994881" + ], + "split": "train" + }, + { + "Input": "a train overtakes two persons who are walking in the same direction in which the train is going , at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively . the length of the train is :", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nn2 = 9.0\nn3 = 10.0\nt0 = n2 / 3600.0\nt1 = n3 / 3600.0\nt2 = n0 * t0\nt3 = n1 * t1\nt4 = t0 - t1\nt5 = t2 - t3\nt6 = t5 / t4\nt7 = t6 - n0\nt8 = t0 * t7\nanswer = t8 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "49.999999999999986" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 90 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", + "Output Program": [ + "n0 = 2.0\nn1 = 1.0\nn2 = 1.0\nn3 = 90.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "85.71428571428571" + ], + "split": "train" + }, + { + "Input": "on a map , 1 inch represents 28 miles . how many v inches would be necessary to represent a distance of 383.6 miles ?", + "Output Program": [ + "n0 = 1.0\nn1 = 28.0\nn2 = 383.6\n\nanswer = n2 / n1\nprint(answer)" + ], + "Output Answer": [ + "13.700000000000001" + ], + "split": "train" + }, + { + "Input": "36 welders work at a constant rate they complete an order in 5 days . if after the first day , 12 welders start to work on the other project , how many more days the remaining welders will need to complete the rest of the order ?", + "Output Program": [ + "n0 = 36.0\nn1 = 5.0\nn2 = 12.0\nt0 = n0 * n1\nt1 = n0 - n2\nt2 = 1.0 / t0\nt3 = n0 * t2\nt4 = 1.0 - t3\nt5 = t4 / t1\nanswer = t5 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 150 meters long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 150.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "train" + }, + { + "Input": "machine a can process 6000 envelopes in 3 hours . machines b and c working together but independently can process the same number of envelopes in 2.5 hours . if machines a and c working together but independently process 3000 envelopes in 1 hour , then how many hours would it take machine b to process 9800 envelopes .", + "Output Program": [ + "n0 = 6000.0\nn1 = 3.0\nn2 = 2.5\nn3 = 3000.0\nn4 = 1.0\nn5 = 9800.0\nt0 = n0 / n2\nt1 = n3 / n4\nt2 = n0 / n1\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = n5 / t4\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a car traveled from san diego to san francisco at an average speed of 51 miles per hour . if the journey back took twice as long , what was the average speed of the trip ?", + "Output Program": [ + "n0 = 51.0\nt0 = 1 / n0\nt1 = t0 / 2.0\nt2 = t1 + t0\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "34" + ], + "split": "train" + }, + { + "Input": "in what time will a train 150 metres long cross an electric pole , if its speed be 122 km / hr ?", + "Output Program": [ + "n0 = 150.0\nn1 = 122.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.425875438161669" + ], + "split": "train" + }, + { + "Input": "an outlet pipe empties a tank which is full in 5 hours . if the inlet pipe is kept open , which lets water in at the rate of 8 litres / min then outlet pipe would take 3 hours longer . find the capacity of the tank .", + "Output Program": [ + "n0 = 5.0\nn1 = 8.0\nn2 = 3.0\nt0 = n0 + n2\nt1 = n1 * 60.0\nt2 = t0 * t1\nt3 = t2 / n2\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "6400" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 3 hours ; b and c together can do it in 2 hours , which a and b together can do it in 2 hours . how long will c alone take to do it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a worker ' s daily wage is increased by 40 % and the new wage is $ 35 per day . what was the worker ' s daily wage before the increase ?", + "Output Program": [ + "n0 = 40.0\nn1 = 35.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "pipe a and pipe b fill water into a tank of capacity 5000 litres , at a rate of 200 l / min and 50 l / min . pipe c drains at a rate of 25 l / min . pipe a is open for 1 min and closed , then pipe b is open for 2 min and closed . further the pipe c is opened and drained for another 2 min . this process is repeated until the tank is filled . how long will it take to fill the tank ?", + "Output Program": [ + "n0 = 5000.0\nn1 = 200.0\nn2 = 50.0\nn3 = 25.0\nn4 = 1.0\nn5 = 2.0\nn6 = 2.0\nt0 = n4 + n5\nt1 = n2 * 2.0\nt2 = n3 * n5\nt3 = n5 + t0\nt4 = n1 + t1\nt5 = t4 - t2\nt6 = n0 / t5\nanswer = t3 * t6\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 10 days and b in 20 days . they began the work together but 5 days before the completion of the work , a leaves . the work was completed in ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = n2 * t0\nt3 = n2 * t1\nt4 = t2 + t3\nt5 = 1.0 - t4\nt6 = t5 / t1\nanswer = n2 + t6\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a car gets 20 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 130 kilometers ?", + "Output Program": [ + "n0 = 20.0\nn1 = 130.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "6.5" + ], + "split": "train" + }, + { + "Input": "the diameter of a garden roller is 1.4 m and it is 2 m long . how much area will it cover in 6 revolutions ? ( use \u00ef \u20ac = 22 \u00e2 \u0081 \u201e 7 )", + "Output Program": [ + "n0 = 1.4\nn1 = 2.0\nn2 = 6.0\nn3 = 22.0\nn4 = 7.0\nt0 = n0 / n1\nt1 = n3 / n4\nt2 = t1 * n1\nt3 = t0 * t2\nt4 = n1 * t3\nanswer = n2 * t4\nprint(answer)" + ], + "Output Answer": [ + "52.8" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 20 m at the rate of rs . 1.50 a meter ?", + "Output Program": [ + "import math\nn0 = 20.0\nn1 = 1.5\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "94.24777960769379" + ], + "split": "train" + }, + { + "Input": "a walks at 10 kmph and 10 hours after his start , b cycles after him at 20 kmph . how far from the start does b catch up with a ?", + "Output Program": [ + "n0 = 10.0\nn1 = 10.0\nn2 = 20.0\n\nanswer = n1 * n2\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 500 meter long train moving with a speed of 63 km / hr , take to cross a man walking with a speed of 3 km / hr in the direction of the train ?", + "Output Program": [ + "n0 = 500.0\nn1 = 63.0\nn2 = 3.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "29.997600191984642" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 56 km / hr crosses a pole in 9 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 56.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "140" + ], + "split": "train" + }, + { + "Input": "suppose 6 monkeys take 6 minutes to eat 6 bananas . how many monkeys would it take to eat 18 bananas in 18 minutes ?", + "Output Program": [ + "n0 = 6.0\nn1 = 6.0\nn2 = 6.0\nn3 = 18.0\nn4 = 18.0\nt0 = n3 / n0\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water in 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 24 minutes is :", + "Output Program": [ + "n0 = 20.0\nn1 = 5.0\nn2 = 24.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a river 5 m deep and 19 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 5.0\nn1 = 19.0\nn2 = 4.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "6333.333333333333" + ], + "split": "train" + }, + { + "Input": "10 men do a work in 10 days . how many men are needed to finish the work in 5 days ?", + "Output Program": [ + "n0 = 10.0\nn1 = 10.0\nn2 = 5.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a salt solution contains 15 grams of salt per 1000 cubic centimeters of solution . if 25 cubic centimeters of the solution were poured into an empty container , how many grams of salt would be in the container ?", + "Output Program": [ + "n0 = 15.0\nn1 = 1000.0\nn2 = 25.0\nt0 = n0 * n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "0.375" + ], + "split": "train" + }, + { + "Input": "2 men and 4 boys can complete a work in 4 days . 5 men and 6 boys can complete the same work in 3 days . the work done by 2 boys is equal to the work of how many men ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nn2 = 4.0\nn3 = 5.0\nn4 = 6.0\nn5 = 3.0\nn6 = 2.0\nt0 = n1 * n3\nt1 = n1 * n5\nt2 = t0 - t1\nt3 = t2 / t2\nanswer = n3 * t3\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "the sides of a rectangular field are in the ratio 3 : 4 . if the area of the field is 10092 sq . m , the cost of fencing the field @ 25 paise per metre is", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 4.0\nn2 = 10092.0\nn3 = 25.0\nt0 = n0 * n1\nt1 = n2 / t0\nt2 = math.sqrt(max(0, t1))\nt3 = n0 * t2\nt4 = n1 * t2\nt5 = 2 * (t3 + t4) # perimetere of rectangle\nt6 = n3 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "101.5" + ], + "split": "train" + }, + { + "Input": "a and b finish the job in 15 days . while a , b and c can finish it in 3 days . c alone will finish the job in", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "3.75" + ], + "split": "train" + }, + { + "Input": "circular gears p and q start rotating at the same time at constant speeds . gear p makes 10 revolutions per minute and gear q makes 40 revolutions per minute . how many seconds after the gears start rotating will gear q have made exactly 2 more revolutions than gear p ?", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nn2 = 2.0\nt0 = n1 / 60.0\nt1 = n0 / 60.0\nt2 = t0 - t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 45 days and 40 days respectively . they began to do the work together but a leaves after some days and then b completed the remaining work in 23 days . the number of days after which a left the work was ?", + "Output Program": [ + "n0 = 45.0\nn1 = 40.0\nn2 = 23.0\nt0 = n2 / n1\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = t1 + t2\nt4 = 1.0 - t0\nanswer = t4 / t3\nprint(answer)" + ], + "Output Answer": [ + "9.000000000000002" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 180 meters long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 180.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "195" + ], + "split": "train" + }, + { + "Input": "a train crosses a post in 15 seconds and a platform 100 m long in 25 seconds . its length is", + "Output Program": [ + "n0 = 15.0\nn1 = 100.0\nn2 = 25.0\nt0 = n0 * n1\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "a bus covered a distance of 250 km , partly at an average speed of 40 kmph and partly at 60 kmph . if the total time taken is 6.5 hours , then the distance covered at 40 kmph is", + "Output Program": [ + "n0 = 250.0\nn1 = 40.0\nn2 = 60.0\nn3 = 6.5\nn4 = 40.0\nt0 = n2 * n3\nt1 = n1 - n2\nt2 = -t1\nt3 = t0 - n0\nt4 = t3 / t2\nanswer = n1 * t4\nprint(answer)" + ], + "Output Answer": [ + "280" + ], + "split": "train" + }, + { + "Input": "if the wheel is 8 cm then the number of revolutions to cover a distance of 948 cm is ?", + "Output Program": [ + "n0 = 8.0\nn1 = 948.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "18.869426751592357" + ], + "split": "train" + }, + { + "Input": "1500 men have provisions for 17 days . if 320 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 1500.0\nn1 = 17.0\nn2 = 320.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "14.010989010989011" + ], + "split": "train" + }, + { + "Input": "the cost of carpeting a room 15 meters long with a carpet 75 cm wide at 30 paisa per meter is rs . 36 . the breadth of the room is ?", + "Output Program": [ + "n0 = 15.0\nn1 = 75.0\nn2 = 30.0\nn3 = 36.0\nt0 = n1 / 100.0\nt1 = n3 * 100.0\nt2 = t1 / n2\nt3 = t2 * t0\nanswer = t3 / n0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a fish can go upstream at 35 kmph and downstream at 55 kmph , and then find the speed of the fish in still water ?", + "Output Program": [ + "n0 = 35.0\nn1 = 55.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "a train is running at a speed of 40 km / hr and it crosses a post in 18 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 40.0\nn1 = 18.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "200.016" + ], + "split": "train" + }, + { + "Input": "riya and priya set on a journey . riya moves eastward at a speed of 30 kmph and priya moves westward at a speed of 50 kmph . how far will be priya from riya after 45 minutes", + "Output Program": [ + "n0 = 30.0\nn1 = 50.0\nn2 = 45.0\nt0 = n0 + n1\nt1 = t0 / 60.0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "from a vessel on the first day , 1 / 3 rd of the liquid evaporates . on the second day 3 / 4 th of the remaining liquid evaporates . what fraction of the volume is present at the end of the 2 day", + "Output Program": [ + "n0 = 1.0\nn1 = 3.0\nn2 = 3.0\nn3 = 4.0\nn4 = 2.0\nt0 = n0 / n1\nt1 = n1 / n3\nt2 = 1.0 - t0\nt3 = t1 * t2\nt4 = t0 + t3\nanswer = n0 - t4\nprint(answer)" + ], + "Output Answer": [ + "0.16666666666666674" + ], + "split": "train" + }, + { + "Input": "if a car had traveled 25 kmh faster than it actually did , the trip would have lasted 30 minutes less . if the car went exactly 75 km , at what speed did it travel ?", + "Output Program": [ + "import math\nn0 = 25.0\nn1 = 30.0\nn2 = 75.0\nt0 = n0 * n2\nt1 = n0**min(2.0, 5)\nt2 = t0 * 2.0\nt3 = t2 * 4.0\nt4 = t3 + t1\nt5 = math.sqrt(max(0, t4))\nt6 = t5 - n0\nanswer = t6 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "a cubical tank is filled with water to a level of 2 feet . if the water in the tank occupies 50 cubic feet , to what fraction of its capacity is the tank filled with water ?", + "Output Program": [ + "n0 = 2.0\nn1 = 50.0\nt0 = n1 / 10.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.4" + ], + "split": "train" + }, + { + "Input": "a cistern is normally filled in 12 hrs , but takes 2 hrs longer to fill because of a leak on its bottom , if cistern is full , how much time citern would empty ?", + "Output Program": [ + "n0 = 12.0\nn1 = 2.0\nt0 = n0 + n1\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t1 - t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "train" + }, + { + "Input": "what is the cost of leveling the field in the form of parallelogram at the rate of rs . 50 / 10 sq . metre , whose base & perpendicular distance from the other side being 54 m & 24 m respectively ?", + "Output Program": [ + "n0 = 50.0\nn1 = 10.0\nn2 = 54.0\nn3 = 24.0\nt0 = n0 / n1\nt1 = n2 * n3\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "6480" + ], + "split": "train" + }, + { + "Input": "a and b together can complete a piece of work in 4 days . if a alone can complete the same work in 12 days , in how many days , in how many days can b alone complete that work ?", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "train" + }, + { + "Input": "there are 16 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?", + "Output Program": [ + "n0 = 16.0\nt0 = n0 + 1.0\nt1 = t0 + 1.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "306" + ], + "split": "train" + }, + { + "Input": "16 welders work at a constant rate they complete an order in 8 days . if after the first day , 9 welders start to work on the other project , how many more days the remaining welders will need to complete the rest of the order ?", + "Output Program": [ + "n0 = 16.0\nn1 = 8.0\nn2 = 9.0\nt0 = n0 * n1\nt1 = n0 - n2\nt2 = 1.0 / t0\nt3 = n0 * t2\nt4 = 1.0 - t3\nt5 = t4 / t1\nanswer = t5 / t2\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "at a loading dock , each worker on the night crew loaded 3 / 4 as many boxes as each worker on the day crew . if the night crew has 4 / 9 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 4.0\nn3 = 9.0\nt0 = n1 * n3\nt1 = n0 * n2\nt2 = t0 + t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.75" + ], + "split": "train" + }, + { + "Input": "31 of the scientists that attended a certain workshop were wolf prize laureates , and 16 of these 31 were also nobel prize laureates . of the scientists that attended that workshop and had not received the wolf prize , the number of scientists that had received the nobel prize was 3 greater than the number of scientists that had not received the nobel prize . if 50 of the scientists attended that workshop , how many of them were nobel prize laureates ?", + "Output Program": [ + "n0 = 31.0\nn1 = 16.0\nn2 = 31.0\nn3 = 3.0\nn4 = 50.0\nt0 = n4 - n0\nt1 = t0 - n3\nt2 = t1 / 2.0\nt3 = n3 + t2\nanswer = n1 + t3\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 18 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 150.0\nn2 = 18.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "49.9960003199744" + ], + "split": "train" + }, + { + "Input": "two numbers have a h . c . f of 11 and a product of two numbers is 1991 . find the l . c . m of the two numbers ?", + "Output Program": [ + "n0 = 11.0\nn1 = 1991.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "181" + ], + "split": "train" + }, + { + "Input": "in one hour , a boat goes 13 km along the stream and 5 km against the stream . the speed of the boat in still water ( in km / hr ) is :", + "Output Program": [ + "n0 = 13.0\nn1 = 5.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day . during the first 7 days , his average wages was $ 87 per day and the average wages during the last 7 days was $ 95 per day . what was his wage on the 8 th day ?", + "Output Program": [ + "n0 = 15.0\nn1 = 90.0\nn2 = 7.0\nn3 = 87.0\nn4 = 7.0\nn5 = 95.0\nn6 = 8.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = n2 * n5\nt3 = t1 + t2\nanswer = t0 - t3\nprint(answer)" + ], + "Output Answer": [ + "76" + ], + "split": "train" + }, + { + "Input": "nd the area of trapezium whose parallel sides are 20 cm and 15 cm long , and the distance between them is 14 cm ?", + "Output Program": [ + "n0 = 20.0\nn1 = 15.0\nn2 = 14.0\nt0 = n0 + n1\nt1 = n2 * t0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "245" + ], + "split": "train" + }, + { + "Input": "if 50 apprentices can finish a job in 4 hours , and 30 journeymen can finish the same job in 7 hours , how much of the job should be completed by 10 apprentices and 15 journeymen in one hour ?", + "Output Program": [ + "n0 = 50.0\nn1 = 4.0\nn2 = 30.0\nn3 = 7.0\nn4 = 10.0\nn5 = 15.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / n4\nt3 = t1 / n5\nt4 = 1.0 / t2\nt5 = 1.0 / t3\nanswer = t4 + t5\nprint(answer)" + ], + "Output Answer": [ + "0.12142857142857143" + ], + "split": "train" + }, + { + "Input": "donovan and michael are racing around a circular 300 - meter track . if donovan runs each lap in 45 seconds and michael runs each lap in 40 seconds , how many laps will michael have to complete in order to pass donovan , assuming they start at the same time ?", + "Output Program": [ + "n0 = 300.0\nn1 = 45.0\nn2 = 40.0\nt0 = n0 / n2\nt1 = n0 / n1\nt2 = t0 - t1\nt3 = n0 / t2\nanswer = t3 / n2\nprint(answer)" + ], + "Output Answer": [ + "9.000000000000004" + ], + "split": "train" + }, + { + "Input": "in a manufacturing plant , it takes 36 machines 4 hours of continuous work to fill 8 standard orders . at this rate , how many hours of continuous work by 72 machines are required to fill 24 standard orders ?", + "Output Program": [ + "n0 = 36.0\nn1 = 4.0\nn2 = 8.0\nn3 = 72.0\nn4 = 24.0\nt0 = n0 * n4\nt1 = t0 * n1\nt2 = t1 / n3\nanswer = t2 / n2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 216 per week . how much does she earn in dollars per hour ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 216.0\nt0 = n0 * 3.0\nt1 = n1 * 2.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "find the area of a cuboid of length 10 cm , breadth 8 cm . and height 6 cm .", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nn2 = 6.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "480" + ], + "split": "train" + }, + { + "Input": "two trains 120 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 120.0\nn1 = 165.0\nn2 = 80.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.0752960452818945" + ], + "split": "train" + }, + { + "Input": "a can do a job in 30 days and b in 40 days . if they work on it together for 10 days , then the fraction of the work that is left is ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.41666666666666663" + ], + "split": "train" + }, + { + "Input": "jack and jill are marathon runners . jack can finish a marathon ( 42 km ) in 5.5 hours and jill can run a marathon in 4.2 hours . what is the ratio of their average running speed ? ( jack : jill )", + "Output Program": [ + "n0 = 42.0\nn1 = 5.5\nn2 = 4.2\nt0 = n0 / n1\nt1 = n0 / n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.7636363636363637" + ], + "split": "train" + }, + { + "Input": "a train 120 m long running at 72 kmph crosses a platform in 25 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 120.0\nn1 = 72.0\nn2 = 25.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "380.04" + ], + "split": "train" + }, + { + "Input": "two trains 190 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 190.0\nn1 = 160.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "12.59899208063355" + ], + "split": "train" + }, + { + "Input": "10 litres of water are poured into an aquarium of dimensions 50 cm length , 20 cm breadth , and 40 cm height . how high ( in cm ) will the water rise ? ( 1 litre = 1000 cm \u00b3 )", + "Output Program": [ + "n0 = 10.0\nn1 = 50.0\nn2 = 20.0\nn3 = 40.0\nn4 = 1.0\nn5 = 1000.0\nt0 = n1 * n2\nt1 = n3 * t0\nt2 = t1 / n5\nt3 = t2 / n0\nanswer = n3 / t3\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 90 km / hr crosses a pole in 9 seconds . find the length of the train .", + "Output Program": [ + "n0 = 90.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "train" + }, + { + "Input": "a 600 meter long train crosses a signal post in 40 seconds . how long will it take to cross a 5.4 kilometer long bridge , at the same speed ?", + "Output Program": [ + "n0 = 600.0\nn1 = 40.0\nn2 = 5.4\nt0 = n2 * 1000.0\nt1 = n0 / n1\nt2 = t0 / t1\nanswer = t2 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "the length of a rectangulat plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 5300 , what is the length of the plot in metres ?", + "Output Program": [ + "n0 = 20.0\nn1 = 26.5\nn2 = 5300.0\n\nanswer = n2 / n1\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "johnny makes $ 4.75 per hour at his work . if he works 6 hours , how much money will he earn ?", + "Output Program": [ + "n0 = 4.75\nn1 = 6.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "28.5" + ], + "split": "train" + }, + { + "Input": "a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing . if the poles of the fence are kept 20 metres apart , how many poles will be needed ?", + "Output Program": [ + "n0 = 90.0\nn1 = 50.0\nn2 = 20.0\nt0 = 2 * (n0 + n1) # perimetere of rectangle\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "a train of 24 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 1.5 km long ?", + "Output Program": [ + "n0 = 24.0\nn1 = 60.0\nn2 = 60.0\nn3 = 60.0\nn4 = 1.5\nt0 = n0 + 1.0\nt1 = n1 * t0\nt2 = t1 / 1000.0\nanswer = n4 + t2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "worker a takes 7 hours to do a job . worker b takes 10 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?", + "Output Program": [ + "n0 = 7.0\nn1 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.11764705882353" + ], + "split": "train" + }, + { + "Input": "a train 120 m long running at 60 kmph crosses a platform in 20 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 120.0\nn1 = 60.0\nn2 = 20.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "213.36" + ], + "split": "train" + }, + { + "Input": "two pipes a and b can fill a tank in 12 hours and 15 hours respectively . if both pipe open together in tank , then how much time it take to fill the tank ?", + "Output Program": [ + "n0 = 12.0\nn1 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.666666666666667" + ], + "split": "train" + }, + { + "Input": "james took a 3 - hour bike ride . in the second hour he travlled 24 miles , which was 20 percent farther than he traveled the first hour . if he traveled 25 percent farther in the third hour than he did in the second hour , how many miles did jose travel during the entire ride ?", + "Output Program": [ + "n0 = 3.0\nn1 = 24.0\nn2 = 20.0\nn3 = 25.0\nt0 = 1.0 * 100.0\nt1 = n1 * n3\nt2 = n2 + t0\nt3 = t1 / n2\nt4 = n1 * t0\nt5 = t4 / t2\nt6 = t5 + t3\nanswer = n1 + t6\nprint(answer)" + ], + "Output Answer": [ + "74" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 26 kmph . if he rows downstream , where the speed of current is 4 kmph , what time will he take to cover 150 metres ?", + "Output Program": [ + "n0 = 26.0\nn1 = 4.0\nn2 = 150.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190784" + ], + "split": "train" + }, + { + "Input": "a driver goes on a trip of 60 kilometers , the first 30 kilometers at 60 kilometers per hour and the remaining distance at 30 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ?", + "Output Program": [ + "n0 = 60.0\nn1 = 30.0\nn2 = 60.0\nn3 = 30.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 / n3\nt3 = t0 + t2\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "two bullet train s 140 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time ( in seconds ) which they take to cross each other , is :", + "Output Program": [ + "n0 = 140.0\nn1 = 160.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "10.799136069114471" + ], + "split": "train" + }, + { + "Input": "an athlete runs 200 metres race in 20 seconds . what is his speed ?", + "Output Program": [ + "n0 = 200.0\nn1 = 20.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a 160 meter long train crosses a man standing on the platform in 4 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 160.0\nn1 = 4.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "144" + ], + "split": "train" + }, + { + "Input": "a train is 100 meter long and is running at the speed of 30 km per hour . find the time it will take to pass a man standing at a crossing .", + "Output Program": [ + "n0 = 100.0\nn1 = 30.0\nt0 = n0 / 1000.0\nt1 = t0 / n1\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "the edges of a cuboid are 4 cm , 5 cm and 6 cm . find the volume of the cuboid ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 6.0\n\nanswer = n0 * n1 * n2\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "a car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 12 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?", + "Output Program": [ + "n0 = 462.0\nn1 = 336.0\nn2 = 12.0\nt0 = n0 - n1\nt1 = t0 / n2\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "two dogsled teams raced across a 300 - mile course in wyoming . team a finished the course in 3 fewer hours than did team b . if team a \u2019 s average speed was 5 miles per hour greater than that of team b , what was team b \u2019 s average speed , in miles per hour ?", + "Output Program": [ + "import math\nn0 = 300.0\nn1 = 3.0\nn2 = 5.0\nt0 = n1 * n2\nt1 = n1 * 4.0\nt2 = n0 * n2\nt3 = n1 * 2.0\nt4 = -t0\nt5 = -t2\nt6 = t0**min(2.0, 5)\nt7 = t1 * t5\nt8 = t6 - t7\nt9 = math.sqrt(max(0, t8))\nt10 = t4 + t9\nanswer = t10 / t3\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a man can do a piece of work in 7 days , but with the help of his son , he can do it in 3 days . in what time can the son do it alone ?", + "Output Program": [ + "n0 = 7.0\nn1 = 3.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "5.25" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 36 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 36.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "a thief goes away with a santro car at a speed of 45 kmph . the theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start ?", + "Output Program": [ + "n0 = 45.0\nn1 = 50.0\nt0 = 1.0 / 2.0\nt1 = n1 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = t3 - t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "if 10 lions can kill 10 deers in 10 minutes how long will it take 100 lions to kill 100 deers ?", + "Output Program": [ + "n0 = 10.0\nn1 = 10.0\nn2 = 10.0\nn3 = 100.0\nn4 = 100.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a can give b 100 meters start and c 300 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 100.0\nn1 = 300.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "222.22222222222217" + ], + "split": "train" + }, + { + "Input": "harry started a 4 - mile hike with a full 10 - cup canteen of water and finished the hike in 2 hours with 2 cup of water remaining in the canteen . if the canteen leaked at the rate of 1 cup per hour and harry drank 3 cups of water during the last mile , how many cups did he drink per mile during the first 3 miles of the hike ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nn2 = 2.0\nn3 = 2.0\nn4 = 1.0\nn5 = 3.0\nn6 = 3.0\nt0 = n1 - n2\nt1 = t0 - n5\nt2 = t1 - n3\nanswer = t2 / n6\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "a certain car increased its average speed by 5 miles per hour in each successive 5 - minute interval after the first interval . if in the first 5 - minute interval its average speed was 2 miles per hour , how many miles did the car travel in the third 5 - minute interval ?", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 5.0\nn3 = 2.0\nn4 = 5.0\nt0 = n0 + n3\nt1 = n0 / 60.0\nt2 = n0 + t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "two trains of equal length , running with the speeds of 60 and 40 kmph , take 60 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nn2 = 60.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 * 0.2778\nt3 = t1 * 0.2778\nt4 = 1 / t2\nt5 = n2 * t3\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000002" + ], + "split": "train" + }, + { + "Input": "the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 6 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ?", + "Output Program": [ + "n0 = 60.0\nn1 = 5.0\nn2 = 6.0\nt0 = n1 * n2\nt1 = t0 / 60.0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "16 boys or 24 girls can construct the wall in 6 days . the number of days that 4 boys and 12 girls will take to construct ?", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nn2 = 6.0\nn3 = 4.0\nn4 = 12.0\nt0 = 1.0 / n2\nt1 = t0 / n1\nt2 = t0 / n0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t3 + t4\nanswer = 1.0 / t5\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 20 hr . if all pipes are opened simultaneously , then the cistern will be filled in", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nn2 = 20.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "7.499999999999998" + ], + "split": "train" + }, + { + "Input": "if 14 men do a work in 80 days , in how many days will 20 men do it ?", + "Output Program": [ + "n0 = 14.0\nn1 = 80.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "56" + ], + "split": "train" + }, + { + "Input": "two terms are in 3 : 4 , if 10 is added to each of the terms , they will be 4 : 5 . find second term ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 10.0\nn3 = 4.0\nn4 = 5.0\nt0 = n2 * n4\nt1 = n1 * n2\nt2 = t0 - t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a 600 meter long train crosses a signal post in 40 seconds . how long will it take to cross a 18 kilometer long bridge , at the same speed ?", + "Output Program": [ + "n0 = 600.0\nn1 = 40.0\nn2 = 18.0\nt0 = n2 * 1000.0\nt1 = n0 / n1\nt2 = t0 / t1\nanswer = t2 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two persons start running simultaneously around a circular track of length 250 m from the same point at speeds of 20 kmph and 40 kmph . when will they meet for the first time any where on the track if they are moving in the opposite direction ?", + "Output Program": [ + "n0 = 250.0\nn1 = 20.0\nn2 = 40.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "14.998800095992321" + ], + "split": "train" + }, + { + "Input": "pipes a and b can fill a tank in 3 and 4 hours . pipe c can empty it in 4 hours . if all pipes are opened together , then the tank will be filled in ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "3.000000000000001" + ], + "split": "train" + }, + { + "Input": "a van takes 5 hours to cover a distance of 465 km . what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time ?", + "Output Program": [ + "n0 = 5.0\nn1 = 465.0\nn2 = 3.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "train" + }, + { + "Input": "in what time will a railway train 60 m long moving at the rate of 54 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 60.0\nn1 = 54.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.9996800255979523" + ], + "split": "train" + }, + { + "Input": "a person walks at a speed of 4 km / hr and runs at a speed of 8 km / hr . how many hours will the person require to cover a distance of 4 km , if the person completes half of the distance by walking and the other half by running ?", + "Output Program": [ + "n0 = 4.0\nn1 = 8.0\nn2 = 4.0\nt0 = n2 / 2.0\nt1 = t0 / n0\nt2 = t0 / n1\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "0.75" + ], + "split": "train" + }, + { + "Input": "a person can swim in still water at 10 km / h . if the speed of water 4 km / h , how many hours will the man take to swim back against the current for 12 km ?", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nn2 = 12.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "some persons can do a piece of work in 24 days . two times the number of these people will do half of that work in ?", + "Output Program": [ + "n0 = 24.0\nt0 = 1.0 / 2.0\nt1 = n0 * t0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "if it takes 4 movers 40 minutes to unpack their van , how long would 5 movers take ?", + "Output Program": [ + "n0 = 4.0\nn1 = 40.0\nn2 = 5.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a train moves with a speed of 189 kmph . its speed in metres per second is", + "Output Program": [ + "n0 = 189.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "52.5042" + ], + "split": "train" + }, + { + "Input": "51 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 51.0\nn1 = 12.0\nn2 = 5.0\nn3 = 30.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "train" + }, + { + "Input": "a train 150 meters long completely crosses a 320 meters long bridge in 40 seconds . what is the speed of the train is ?", + "Output Program": [ + "n0 = 150.0\nn1 = 320.0\nn2 = 40.0\nt0 = n0 + n1\nt1 = n2 / 3600.0\nt2 = t0 / 1000.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "42.3" + ], + "split": "train" + }, + { + "Input": "if 6 spiders make 6 webs in 6 days , then 1 spider will make 1 web in how many days ?", + "Output Program": [ + "n0 = 6.0\nn1 = 6.0\nn2 = 6.0\nn3 = 1.0\nn4 = 1.0\n\nanswer = n0 * n3\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 3 hours to complete the journey . if the distance between city a and city b is 600 kms and city a and city c is 300 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 600.0\nn3 = 300.0\nt0 = n2 / n0\nt1 = n3 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "in a dairy farm , 46 cows eat 46 bags of husk in 46 days . in how many days one cow will eat one bag of husk ?", + "Output Program": [ + "n0 = 46.0\nn1 = 46.0\nn2 = 46.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "46" + ], + "split": "train" + }, + { + "Input": "a , b and c run around a circular track starting from the same point simultaneously and in the same direction at speeds of 4 kmph , 6 kmph and 8 kmph respectively . if the length of the track is 400 meters , when will a , b and c meet at the starting point for the first time after they started the race ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 8.0\nn3 = 400.0\nt0 = n3 / 1000.0\nt1 = n1 / t0\nt2 = n2 / t0\nt3 = 60.0 / t1\nt4 = 60.0 / t2\nanswer = t3 * t4\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "if 15 workers can build a wall in 48 hours , how many workers will be required to do the same work in 30 hours ?", + "Output Program": [ + "n0 = 15.0\nn1 = 48.0\nn2 = 30.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "three pipes a , b and c can fill a tank from empty to full in 20 minutes , 20 minutes and 30 minutes respectively . when the tank is empty , all the three pipes are opened . a , b and c discharge chemical solutions p , q and r respectively . what is the proportion of solution r in the liquid in the tank after 3 minutes ?", + "Output Program": [ + "n0 = 20.0\nn1 = 20.0\nn2 = 30.0\nn3 = 3.0\nt0 = n3 / n2\nt1 = 1.0 / n0\nt2 = 1.0 / n2\nt3 = t1 + t1\nt4 = t3 + t2\nt5 = n3 * t4\nt6 = 1.0 / t5\nanswer = t0 * t6\nprint(answer)" + ], + "Output Answer": [ + "0.25" + ], + "split": "train" + }, + { + "Input": "a boat can travel with aspeed of 30 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 70 km downstream .", + "Output Program": [ + "n0 = 30.0\nn1 = 5.0\nn2 = 70.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a and b together can do a piece of work in 6 days and a alone can do it in 12 days . in how many days can b alone can do it ?", + "Output Program": [ + "n0 = 6.0\nn1 = 12.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "the length of a train and that of a platform are equal . if with a speed of 54 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?", + "Output Program": [ + "n0 = 54.0\nt0 = 60.0 / 1.0\nt1 = n0 * 1000.0\nt2 = t1 / t0\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "450" + ], + "split": "train" + }, + { + "Input": "b completes a work in 7 days . a alone can do it in 10 days . if both work together , the work can be completed in how many days ?", + "Output Program": [ + "n0 = 7.0\nn1 = 10.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.117647058823529" + ], + "split": "train" + }, + { + "Input": "excluding the stoppages , the speed of a bus is 48 km / hr and including the stoppages the speed of the bus is 24 km / hr . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 48.0\nn1 = 24.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "how many pieces of 0.40 meteres can be cut from a rod 47.5 meteres long", + "Output Program": [ + "n0 = 0.4\nn1 = 47.5\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "118.75" + ], + "split": "train" + }, + { + "Input": "the racing magic takes 60 seconds to circle the racing track once . the charging bull makes 40 rounds of the track in an hour . if they left the starting point together , how many minutes will it take for them to meet at the starting point for the second time ?", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nt0 = n0 / n1\nt1 = t0 * 60.0\nt2 = t1 * 2.0\nt3 = t2 / 60.0\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a and b complete a work in 4 days . a alone can do it in 8 days . if both together can do the work in how many days ?", + "Output Program": [ + "n0 = 4.0\nn1 = 8.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "2.6666666666666665" + ], + "split": "train" + }, + { + "Input": "roja and pooja start moving in the opposite directions from a pole . they are moving at the speeds of 8 km / hr and 3 km / hr respectively . after 4 hours what will be the distance between them ?", + "Output Program": [ + "n0 = 8.0\nn1 = 3.0\nn2 = 4.0\nt0 = n0 + n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "two numbers n and 10 have lcm = 36 and gcf = 5 . find n .", + "Output Program": [ + "n0 = 10.0\nn1 = 36.0\nn2 = 5.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "two whales are moving in the same direction at 18 mps and 15 mps . the faster whale crosses the slow whale in 15 seconds . what is the length of the slower whale in meters ?", + "Output Program": [ + "n0 = 18.0\nn1 = 15.0\nn2 = 15.0\nt0 = n0 - n1\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "a circular path of 16 m radius has marginal walk 3 m wide all round it . find the cost of leveling the walk at rs . 2 per m 2 ?", + "Output Program": [ + "import math\nn0 = 16.0\nn1 = 3.0\nn2 = 2.0\nn3 = 2.0\nt0 = n0 + n1\nt1 = math.pi * n0**2\nt2 = math.pi * t0**2\nt3 = t2 - t1\nanswer = n2 * t3\nprint(answer)" + ], + "Output Answer": [ + "659.7344572538564" + ], + "split": "train" + }, + { + "Input": "speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph . a man rows to a place at a distance of 4864 km and comes back to the starting point . the total time taken by him is", + "Output Program": [ + "n0 = 14.0\nn1 = 1.2\nn2 = 4864.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "700" + ], + "split": "train" + }, + { + "Input": "noelle walks from point a to point b at an average speed of 6 kilometers per hour . at what speed , in kilometers per hour , must noelle walk from point b to point a so that her average speed for the entire trip is 7 kilometers per hour ?", + "Output Program": [ + "n0 = 6.0\nn1 = 7.0\nt0 = n0 * n1\nt1 = n0 * 2.0\nt2 = t1 - n1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "8.4" + ], + "split": "train" + }, + { + "Input": "if two projectiles are launched at the same moment from 2520 km apart and travel directly towards each other at 432 km per hour and 576 km per hour respectively , how many minutes will it take for them to meet ?", + "Output Program": [ + "n0 = 2520.0\nn1 = 432.0\nn2 = 576.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "5 bells begin to toll together at 12 : 00 noon and toll respectively at intervals of 3 , 4 , 5 , 6 , and 7 seconds . not including the toll at 12 : 00 noon , how many more times will all 5 bells toll together before 1 : 00 pm ( i . e . one hour later ) ?", + "Output Program": [ + "import math\nn0 = 5.0\nn1 = 12.0\nn2 = 0.0\nn3 = 3.0\nn4 = 4.0\nn5 = 5.0\nn6 = 6.0\nn7 = 7.0\nn8 = 12.0\nn9 = 0.0\nn10 = 5.0\nn11 = 1.0\nn12 = 0.0\nt0 = n3 * n4\nt1 = n0 * t0\nt2 = n7 * t1\nt3 = 3600.0 / t2\nanswer = math.floor(t3)\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "express a speed of 180 kmph in meters per second ?", + "Output Program": [ + "n0 = 180.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "50.004" + ], + "split": "train" + }, + { + "Input": "each day a man meets his wife at the train station after work , and then she drives him home . she always arrives exactly on time to pick him up . one day he catches an earlier train and arrives at the station an hour early . he immediately begins walking home along the same route the wife drives . eventually his wife sees him on her way to the station and drives him the rest of the way home . when they arrive home the man notices that they arrived 12 minutes earlier than usual . how much time did the man spend walking ?", + "Output Program": [ + "n0 = 12.0\nt0 = n0 / 2.0\nanswer = 60.0 - t0\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "calculate the time it will take for a train that is 200 meter long to pass a bridge of 180 meter length , if the speed of the train is 65 km / hour ?", + "Output Program": [ + "n0 = 200.0\nn1 = 180.0\nn2 = 65.0\nt0 = n0 + n1\nt1 = n2 / 3.6\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "21.04615384615385" + ], + "split": "train" + }, + { + "Input": "in traveling from a dormitory to a certain city , a student went 1 / 5 of the way by foot , 2 / 3 of the way by bus , and the remaining 12 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?", + "Output Program": [ + "n0 = 1.0\nn1 = 5.0\nn2 = 2.0\nn3 = 3.0\nn4 = 12.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 + t1\nt3 = 1.0 - t2\nt4 = 1 / t3\nanswer = n4 * t4\nprint(answer)" + ], + "Output Answer": [ + "90.00000000000003" + ], + "split": "train" + }, + { + "Input": "pipe a fills a tank in 20 minutes . pipe b can fill the same tank 4 times as fast as pipe a . if both the pipes are kept open when the tank is empty , how many minutes will it take to fill the tank ?", + "Output Program": [ + "n0 = 20.0\nn1 = 4.0\nt0 = 1.0 / n0\nt1 = n1 / n0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 12 kmph and downstream at 38 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 12.0\nn1 = 38.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "noelle walks from point a to point b at an average speed of 3 kilometers per hour . at what speed , in kilometers per hour , must noelle walk from point b to point a so that her average speed for the entire trip is 5 kilometers per hour ?", + "Output Program": [ + "n0 = 3.0\nn1 = 5.0\nt0 = n0 * n1\nt1 = n0 * 2.0\nt2 = t1 - n1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "two trains of equal lengths take 10 sec and 12 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nn2 = 120.0\nt0 = n2 * 2.0\nt1 = n2 / n1\nt2 = n2 / n0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "10.909090909090908" + ], + "split": "train" + }, + { + "Input": "two cyclist start from the same places in opposite directions . one is going towards north at 10 kmph and the other is going towards south 10 kmph . what time will they take to be 50 km apart ?", + "Output Program": [ + "n0 = 10.0\nn1 = 10.0\nn2 = 50.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "train" + }, + { + "Input": "a train 100 meters long completely crosses a 300 meters long bridge in 30 seconds . what is the speed of the train is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 300.0\nn2 = 30.0\nt0 = n0 + n1\nt1 = n2 / 3600.0\nt2 = t0 / 1000.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 7 m x 6 m x 22.5 cm ?", + "Output Program": [ + "n0 = 25.0\nn1 = 11.25\nn2 = 6.0\nn3 = 7.0\nn4 = 6.0\nn5 = 22.5\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "5600" + ], + "split": "train" + }, + { + "Input": "walking with 4 / 5 of my usual speed , i arrive at the bus stop 7 minutes later than normal . how many minutes does it take to walk to the bus stop at my usual speed ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 7.0\nt0 = n1 / n0\nt1 = t0 - 1.0\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "a and b complete a work in 8 days . a alone can do it in 12 days . if both together can do the work in how many days ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.800000000000001" + ], + "split": "train" + }, + { + "Input": "the delhi express runs @ 144 kilometers per hours and it reaches destination 20 minute ahead of schedule . if it averages 100 km / hour , it reaches 24 minute behind schedule . what is the average speed it should maintain in order to reach the destination on schedule ?", + "Output Program": [ + "n0 = 144.0\nn1 = 20.0\nn2 = 100.0\nn3 = 24.0\nt0 = n2 * n3\nanswer = t0 / 10.0\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "a train 100 meters long completely crosses a 300 meters long bridge in 12 seconds . what is the speed of the train is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 300.0\nn2 = 12.0\nt0 = n0 + n1\nt1 = n2 / 3600.0\nt2 = t0 / 1000.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "what is the length of a bridge ( in meters ) , which a train 148 meters long and travelling at 45 km / h can cross in 30 seconds ?", + "Output Program": [ + "n0 = 148.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "227.02999999999997" + ], + "split": "train" + }, + { + "Input": "at a loading dock , each worker on the night crew loaded 3 / 4 as many boxes as each worker on the day crew . if the night crew has 4 / 7 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 4.0\nn3 = 7.0\nt0 = n1 * n3\nt1 = n0 * n2\nt2 = t0 + t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.7" + ], + "split": "train" + }, + { + "Input": "somehow or other i got talked into buying something on the installment plan . i ' m notsure i got a good deal . the payments to date , according to my checkbook , have reached rs . 96 . the second year cost rs . 2.00 more than the first year ; the third year cost rs . 3.00 more thanthe second ; and the fourth year cost me rs . 4.00 more than the third . what were mypayments the first year ?", + "Output Program": [ + "n0 = 96.0\nn1 = 2.0\nn2 = 3.0\nn3 = 4.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = t1 + t0\nt3 = n1 + t2\nt4 = n0 - t3\nanswer = t4 / n3\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 750 resolutions ?", + "Output Program": [ + "n0 = 22.4\nn1 = 750.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "1055.9999999999998" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 450 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", + "Output Program": [ + "n0 = 2.0\nn1 = 1.0\nn2 = 1.0\nn3 = 450.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "360" + ], + "split": "train" + }, + { + "Input": "sakshi can do a piece of work in 20 days . tanya is 25 % more efficient than sakshi . the number of days taken by tanya to do the same piece of work :", + "Output Program": [ + "n0 = 20.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "there are 18 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?", + "Output Program": [ + "n0 = 18.0\nt0 = n0 + 1.0\nt1 = t0 + 1.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "380" + ], + "split": "train" + }, + { + "Input": "a boat traveled upstream 90 miles at an average speed of ( v - 3 ) miles per hour and then traveled the same distance downstream at an average speed of ( v + 3 ) miles per hour . if the trip upstream took a half hour longer than the trip downstream , then how many hours did it take the boat to travel downstream ?", + "Output Program": [ + "import math\nn0 = 90.0\nn1 = 3.0\nn2 = 3.0\nt0 = 1.0 / 2.0\nt1 = n0 * n1\nt2 = n1 * n1\nt3 = t1 + t1\nt4 = t0 * t2\nt5 = t3 - t4\nt6 = t5 / t0\nt7 = math.sqrt(max(0, t6))\nt8 = n1 + t7\nanswer = n0 / t8\nprint(answer)" + ], + "Output Answer": [ + "2.5191640969412834" + ], + "split": "train" + }, + { + "Input": "working together , a and b can do a job in 6 days . b and c can do the same job in 10 days , while c and a can do it in 7.5 days . how long will it take if all a , b and c work together to complete the job ?", + "Output Program": [ + "n0 = 6.0\nn1 = 10.0\nn2 = 7.5\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = t4 / 2.0\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "kim can do a work in 3 days while david can do the same work in 2 days . both of them finish the work together and get rs . 150 . what is the share of kim ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 150.0\nt0 = n0 + n1\nt1 = 2.0 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a cistern is normally filled in 6 hrs , but takes 2 hrs longer to fill because of a leak on its bottom , if cistern is full , how much time citern would empty ?", + "Output Program": [ + "n0 = 6.0\nn1 = 2.0\nt0 = n0 + n1\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t1 - t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "24.000000000000007" + ], + "split": "train" + }, + { + "Input": "the moon revolves around the earth at a speed of approximately 1.03 kilometers per second . this approximate speed is how many kilometers per hour ?", + "Output Program": [ + "n0 = 1.03\n\nanswer = n0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "3708" + ], + "split": "train" + }, + { + "Input": "a , b , c hired a car for rs . 720 and used it for 9 , 10 and 13 hours respectively . hire charges paid by b are :", + "Output Program": [ + "n0 = 720.0\nn1 = 9.0\nn2 = 10.0\nn3 = 13.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n2 / t1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "train" + }, + { + "Input": "a motor boat takes 12 hours to go downstream and it takes 24 hours to return the same distance . what is the time taken by boat in still water ?", + "Output Program": [ + "n0 = 12.0\nn1 = 24.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = t1 * 2.0\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "the speed of a car increases by 2 kms after every one hour . if the distance travelling in the first one hour was 30 kms . what was the total distance traveled in 12 hours ?", + "Output Program": [ + "n0 = 2.0\nn1 = 30.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = n0 * n1\nt2 = n2 - 1.0\nt3 = n0 * t2\nt4 = t1 + t3\nanswer = t4 * t0\nprint(answer)" + ], + "Output Answer": [ + "492" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 54 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 150.0\nn2 = 54.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "16.665333439991468" + ], + "split": "train" + }, + { + "Input": "every day daniel drives 120 miles back from work . on sunday , daniel drove all the way back from work at a constant speed of x miles per hour . on monday , daniel drove the first 32 miles back from work at ( 2 x ) miles per hour , and the rest of the way at ( x / 2 ) miles per hour . the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent ?", + "Output Program": [ + "n0 = 120.0\nn1 = 32.0\nn2 = 2.0\nn3 = 2.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 * 2.0\nt3 = t0 + t2\nt4 = t3 - n0\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a pump can fill a tank with water in 2 hours . because of a leak , it took hours to fill the tank . the leak can drain all the water of the tank in :", + "Output Program": [ + "n0 = 2.0\nt0 = 1.0 / 2.0\nt1 = 1.0 / 3.0\nt2 = n0 + t1\nt3 = 1 / t2\nt4 = t0 - t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "13.999999999999995" + ], + "split": "train" + }, + { + "Input": "speed of a boat in standing water is 9 kmph and the speed of the stream is 6 kmph . a man rows to place at a distance of 170 km and comes back to the starting point . the total time taken by him is :", + "Output Program": [ + "n0 = 9.0\nn1 = 6.0\nn2 = 170.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "68" + ], + "split": "train" + }, + { + "Input": "if a car went the first third of the distance at 80 kmh , the second third at 24 kmh , and the last third at 30 kmh , what was the average speed of the car for the entire trip ?", + "Output Program": [ + "n0 = 80.0\nn1 = 24.0\nn2 = 30.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 3.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "34.285714285714285" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 63 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 150.0\nn2 = 63.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "14.284571519992687" + ], + "split": "train" + }, + { + "Input": "rashmi walks to her bus stop at 5 kmph and reaches there late by 10 minutes . on the next day , she increases her speed to 6 kmph and reaches the bus stop 10 minutes early . how far is the bus stop ?", + "Output Program": [ + "n0 = 5.0\nn1 = 10.0\nn2 = 6.0\nn3 = 10.0\nt0 = n1 + n1\nt1 = 1.0 / n0\nt2 = 1.0 / n2\nt3 = t1 - t2\nt4 = t3 * 60.0\nanswer = t0 / t4\nprint(answer)" + ], + "Output Answer": [ + "9.999999999999993" + ], + "split": "train" + }, + { + "Input": "a cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "49" + ], + "split": "train" + }, + { + "Input": "a man leaves a point p at 6 a . m . and reaches the point q at 10 a . m . another man leaves the point give at 8 a . m . and reaches the point p at 12 noon . at what time do they meet ?", + "Output Program": [ + "n0 = 6.0\nn1 = 10.0\nn2 = 8.0\nn3 = 12.0\nt0 = 4.0 - 1.0\nanswer = n0 + t0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "during a car trip , maria stopped to rest after she traveled 1 / 2 of the total distance to her destination . she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination , and then she drove the remaining 150 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 1.0\nn3 = 4.0\nn4 = 150.0\nt0 = n0 / n1\nt1 = n0 / n3\nt2 = t0 * t1\nt3 = t0 + t2\nt4 = n0 - t3\nanswer = n4 / t4\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "two trains 121 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 55 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 121.0\nn1 = 165.0\nn2 = 80.0\nn3 = 55.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.626056582140095" + ], + "split": "train" + }, + { + "Input": "a leak in the bottom of a tank can empty the full tank in 9 hours . an inlet pipe fills water at the rate of 6 litres a minute . when the tank is full , the inlet is opened and due to the leak , the tank is empty in 12 hours . how many litres does the cistern hold ?", + "Output Program": [ + "n0 = 9.0\nn1 = 6.0\nn2 = 12.0\nt0 = n2 * 60.0\nt1 = n0 * 60.0\nt2 = t0 / t1\nt3 = n1 * t0\nt4 = t2 - 1.0\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "12960.000000000004" + ], + "split": "train" + }, + { + "Input": "a train 440 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 440.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 500 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?", + "Output Program": [ + "n0 = 500.0\nn1 = 63.0\nn2 = 3.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "29.997600191984642" + ], + "split": "train" + }, + { + "Input": "a and b together can do a piece of work in 6 days and a alone can do it in 9 days . in how many days can b alone can do it ?", + "Output Program": [ + "n0 = 6.0\nn1 = 9.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "20 binders can bind 1400 books in 21 days . how many binders will be required to bind 1600 books in 20 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 1400.0\nn2 = 21.0\nn3 = 1600.0\nn4 = 20.0\nt0 = n3 / n4\nt1 = n0 * n2\nt2 = n1 / t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a man can do a job in 20 days . his father takes 20 days and his son finishes it in 25 days . how long will they take to complete the job if they all work together ?", + "Output Program": [ + "n0 = 20.0\nn1 = 20.0\nn2 = 25.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "7.142857142857142" + ], + "split": "train" + }, + { + "Input": "a 230 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", + "Output Program": [ + "n0 = 230.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "270.03999999999996" + ], + "split": "train" + }, + { + "Input": "a train is travelling at 48 kmph . it crosses another train having half of its length , travelling in opposite direction at 42 kmph , in 12 seconds . it also passes a railway platform in 45 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 48.0\nn1 = 42.0\nn2 = 12.0\nn3 = 45.0\nt0 = n0 + n1\nt1 = 3.0 / 2.0\nt2 = n0 * n3\nt3 = t2 * 0.2778\nt4 = t0 * 0.2778\nt5 = n2 * t4\nt6 = t5 / t1\nanswer = t3 - t6\nprint(answer)" + ], + "Output Answer": [ + "400.03200000000004" + ], + "split": "train" + }, + { + "Input": "two trains a and b are 150 m and 150 m long and are moving at one another at 54 km / hr and 36 km / hr respectively . arun is sitting on coach b 1 of train a . calculate the time taken by arun to completely cross train b .", + "Output Program": [ + "n0 = 150.0\nn1 = 150.0\nn2 = 54.0\nn3 = 36.0\nn4 = 1.0\nt0 = n0 + n1\nt1 = n2 * 1000.0\nt2 = n3 * 1000.0\nt3 = t1 / 3600.0\nt4 = t2 / 3600.0\nt5 = t3 + t4\nanswer = t0 / t5\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "if a train , travelling at a speed of 18 kmph , crosses a pole in 5 sec , then the length of train is ?", + "Output Program": [ + "n0 = 18.0\nn1 = 5.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "25.002" + ], + "split": "train" + }, + { + "Input": "a train covers a distance at a speed of 150 kmph in 3 hours . to cover the same distance in 1 hours , it must travel at a speed of ?", + "Output Program": [ + "n0 = 150.0\nn1 = 3.0\nn2 = 1.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "450" + ], + "split": "train" + }, + { + "Input": "a 120 meter long train crosses a man standing on the platform in 6 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 120.0\nn1 = 6.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "two trains a and b are 200 m and 150 m long and are moving at one another at 54 km / hr and 36 km / hr respectively . arun is sitting on coach b 1 of train a . calculate the time taken by arun to completely cross train b .", + "Output Program": [ + "n0 = 200.0\nn1 = 150.0\nn2 = 54.0\nn3 = 36.0\nn4 = 1.0\nt0 = n0 + n1\nt1 = n2 * 1000.0\nt2 = n3 * 1000.0\nt3 = t1 / 3600.0\nt4 = t2 / 3600.0\nt5 = t3 + t4\nanswer = t0 / t5\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "a man complete a journey in 20 hours . he travels first half of the journey at the rate of 10 km / hr and second half at the rate of 15 km / hr . find the total journey in km .", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 15.0\nt0 = n1 + n2\nt1 = n1 * n2\nt2 = n0 * t1\nt3 = t2 / t0\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "20 beavers , working together in a constant pace , can build a dam in 3 hours . how many b hours will it take 12 beavers that work at the same pace , to build the same dam ?", + "Output Program": [ + "n0 = 20.0\nn1 = 3.0\nn2 = 12.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "without stoppages , a train travels certain distance with an average speed of 300 km / h , and with stoppages , it covers the same distance with an average speed of 200 km / h . how many minutes per hour the train stops ?", + "Output Program": [ + "n0 = 300.0\nn1 = 200.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a 1000 liter tank , half - full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes . at the same time , the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes . how many minutes does it take to fill the tank completely ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 1.0\nn2 = 2.0\nn3 = 1.0\nn4 = 4.0\nn5 = 6.0\nt0 = n4 + n5\nt1 = n0 / n2\nt2 = n2 + t0\nt3 = t2 * t1\nanswer = t3 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "p , q and r together earn rs . 1800 in 9 days . p and r can earn rs . 600 in 5 days . q and r in 7 days can earn rs . 910 . how much amount does r can earn per day ?", + "Output Program": [ + "n0 = 1800.0\nn1 = 9.0\nn2 = 600.0\nn3 = 5.0\nn4 = 7.0\nn5 = 910.0\nt0 = n2 / n3\nt1 = n5 / n4\nt2 = n0 / n1\nt3 = t0 + t1\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "in a kilo meter race , if a gives b a 40 m start , a wins by 19 s . but if a gives b a 30 s start , b wins by 40 m . find the time taken by b to run 5,000 m ?", + "Output Program": [ + "n0 = 40.0\nn1 = 19.0\nn2 = 30.0\nn3 = 40.0\nn4 = 5000.0\nt0 = 1.0 + 4.0\nt1 = n0 / 2.0\nt2 = t1 / 3.0\nt3 = t0 * 1000.0\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "750" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is traveling at 40 kmph observes that a goods train , traveling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed . ?", + "Output Program": [ + "n0 = 40.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "a tank is 25 m long 12 m wide and 6 m deep . the cost of plastering its walls and bottom at 55 paise per sq m is", + "Output Program": [ + "n0 = 25.0\nn1 = 12.0\nn2 = 6.0\nn3 = 55.0\nt0 = n3 / 100.0\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 * n1\nt4 = t1 * 2.0\nt5 = t2 * 2.0\nt6 = t4 + t5\nt7 = t6 + t3\nanswer = t7 * t0\nprint(answer)" + ], + "Output Answer": [ + "409.20000000000005" + ], + "split": "train" + }, + { + "Input": "if 20 men can build a water fountain 56 metres long in 7 days , what length of a similar water fountain can be built by 35 men in 3 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 56.0\nn2 = 7.0\nn3 = 35.0\nn4 = 3.0\nt0 = n0 * n2\nt1 = n3 * n4\nt2 = n1 / t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 50 kmph and including stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 50.0\nn1 = 45.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a car traveled from san diego to san francisco at an average speed of 48 miles per hour . if the journey back took twice as long , what was the average speed of the trip ?", + "Output Program": [ + "n0 = 48.0\nt0 = 1 / n0\nt1 = t0 / 2.0\nt2 = t1 + t0\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a train passes a man standing on a platform in 8 seconds and also crosses the platform which is 279 metres long in 20 seconds . the length of the train ( in metres ) is :", + "Output Program": [ + "n0 = 8.0\nn1 = 279.0\nn2 = 20.0\nt0 = n2 - n0\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "186" + ], + "split": "train" + }, + { + "Input": "jack and jill are marathon runners . jack can finish a marathon ( 43 km ) in 4.5 hours and jill can run a marathon in 4.3 hours . what is the ratio of their average running speed ? ( jack : jill )", + "Output Program": [ + "n0 = 43.0\nn1 = 4.5\nn2 = 4.3\nt0 = n0 / n1\nt1 = n0 / n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.9555555555555555" + ], + "split": "train" + }, + { + "Input": "a car traveled 420 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 6 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?", + "Output Program": [ + "n0 = 420.0\nn1 = 336.0\nn2 = 6.0\nt0 = n0 - n1\nt1 = t0 / n2\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "how many cuboids of length 5 m , width 4 m and height 3 m can be farmed from a cuboid of 16 m length , 10 m width and 12 m height .", + "Output Program": [ + "n0 = 5.0\nn1 = 4.0\nn2 = 3.0\nn3 = 16.0\nn4 = 10.0\nn5 = 12.0\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = n5 * t0\nt3 = n2 * t1\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "if a fills a tank in 30 mins , and b fills the same tank in 20 mins , and c emptys it in 40 min , if a , b , c works together how much time will the tank take to fill ?", + "Output Program": [ + "n0 = 30.0\nn1 = 20.0\nn2 = 40.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "17.14285714285714" + ], + "split": "train" + }, + { + "Input": "one woman and one man can build a wall together in five hours , but the woman would need the help of two girls in order to complete the same job in the same amount of time . if one man and one girl worked together , it would take them nine hours to build the wall . assuming that rates for men , women and girls remain constant , how many hours would it take one woman , one man , and one girl , working together , to build the wall ?", + "Output Program": [ + "t0 = 1.0 + 4.0\nt1 = 3.0 / 2.0\nt2 = t0 + 4.0\nt3 = 1 / t0\nt4 = 1 / t2\nt5 = t3 * 2.0\nt6 = t4 + t5\nt7 = t6 / 2.0\nt8 = t7 - t3\nt9 = t8 / t1\nt10 = t9 + t3\nanswer = 1 / t10\nprint(answer)" + ], + "Output Answer": [ + "4.21875" + ], + "split": "train" + }, + { + "Input": "in one hour , a boat goes 8 km along the stream and 2 km against the stream . the speed of the boat in still water ( in km / hr ) is :", + "Output Program": [ + "n0 = 8.0\nn1 = 2.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a tank is 25 m long 12 m wide and 6 m deep . the cost of plastering its walls and bottom at 25 paise per sq m is", + "Output Program": [ + "n0 = 25.0\nn1 = 12.0\nn2 = 6.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = n0 * n1\nt4 = t1 * 2.0\nt5 = t2 * 2.0\nt6 = t4 + t5\nt7 = t6 + t3\nanswer = t7 * t0\nprint(answer)" + ], + "Output Answer": [ + "186" + ], + "split": "train" + }, + { + "Input": "a train is 288 meter long is running at a speed of 29 km / hour . in what time will it pass a bridge of 101 meter length ?", + "Output Program": [ + "n0 = 288.0\nn1 = 29.0\nn2 = 101.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "48.289655172413795" + ], + "split": "train" + }, + { + "Input": "a housing society has been allotted a square piece of land measuring 2550.25 sq . m . what is the side of the plot ?", + "Output Program": [ + "import math\nn0 = 2550.25\n\nanswer = math.sqrt(max(0, n0))\nprint(answer)" + ], + "Output Answer": [ + "50.5" + ], + "split": "train" + }, + { + "Input": "if the population of a certain country increases at the rate of one person every 20 seconds , by how many persons does the population increase in 30 minutes ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nt0 = 60.0 / n0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "if 8 workers can build 8 cars in 8 days , then how many days would it take 5 workers to build 5 cars ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 8.0\nn3 = 5.0\nn4 = 5.0\nt0 = n3 / n3\nt1 = n0 * n0\nt2 = t1 / n0\nanswer = t2 * t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "two men and three women working 7 hours a day finish a work in 5 days . four men and four women working 3 hours a day complete the work in 7 days . the number of days in which only 7 men working 4 hours a day will finish the work is ?", + "Output Program": [ + "n0 = 7.0\nn1 = 5.0\nn2 = 3.0\nn3 = 7.0\nn4 = 7.0\nn5 = 4.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = n0 * n5\nt3 = n2 / t0\nt4 = n5 / t1\nt5 = t3 - t4\nt6 = t5 / n5\nt7 = t6 * t2\nanswer = 1.0 / t7\nprint(answer)" + ], + "Output Answer": [ + "5.000000000000001" + ], + "split": "train" + }, + { + "Input": "a train is running at a speed of 40 km / hr and it crosses a post in 19.8 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 40.0\nn1 = 19.8\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "220.01760000000002" + ], + "split": "train" + }, + { + "Input": "a can do a job in 45 days and b can do it in 30 days . a and b working together will finish 4 times the amount of work in - - - - - - - days ?", + "Output Program": [ + "n0 = 45.0\nn1 = 30.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1 / t2\nanswer = n2 * t3\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "a vessel of capacity 45 litres is fully filled with pure milk . nine litres of milk is removed from the vessel and replaced with water . nine litres of the solution thus formed is removed and replaced with water . find the quantity of pure milk in the final milk solution ?", + "Output Program": [ + "n0 = 45.0\nt0 = 3.0 * 3.0\nt1 = n0 - t0\nt2 = t1 / n0\nt3 = t2 * t0\nanswer = t1 - t3\nprint(answer)" + ], + "Output Answer": [ + "28.8" + ], + "split": "train" + }, + { + "Input": "convert the 18 / 42 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 18.0\nn1 = 42.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "1.5428571428571427" + ], + "split": "train" + }, + { + "Input": "a can do a job in 18 days and b can do it in 30 days . in how many days will they finish it together ?", + "Output Program": [ + "n0 = 18.0\nn1 = 30.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "0.08888888888888888" + ], + "split": "train" + }, + { + "Input": "a type t machine can complete a job in 5 hours and a type b machine can complete the job in 7 hours . how many hours will it take 2 type t machines and 3 type b machines working together and independently to complete the job ?", + "Output Program": [ + "n0 = 5.0\nn1 = 7.0\nn2 = 2.0\nn3 = 3.0\nt0 = n0 / n2\nt1 = n1 / n3\nt2 = 1 / t0\nt3 = 1 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "1.2068965517241381" + ], + "split": "train" + }, + { + "Input": "what is the ratio of 12 minute to 1 hour ?", + "Output Program": [ + "n0 = 12.0\nn1 = 1.0\n\nanswer = n0 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "0.2" + ], + "split": "train" + }, + { + "Input": "a person is traveling at 20 km / hr and reached his destiny in 2.5 hr then find the distance ?", + "Output Program": [ + "n0 = 20.0\nn1 = 2.5\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "a contractor undertook to do a piece of work in 9 days . he employed certain number of laboures but 6 of them were absent from the very first day and the rest could finish the work in only 15 days . find the number of men originally employed .", + "Output Program": [ + "n0 = 9.0\nn1 = 6.0\nn2 = 15.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph , in 12 seconds . it also passes a railway platform in 45 seconds . the length of the platform is", + "Output Program": [ + "n0 = 48.0\nn1 = 42.0\nn2 = 12.0\nn3 = 45.0\nt0 = n0 * 0.2778\nanswer = n3 * t0\nprint(answer)" + ], + "Output Answer": [ + "600.0479999999999" + ], + "split": "train" + }, + { + "Input": "the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 2.0 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?", + "Output Program": [ + "import math\nn0 = 3136.0\nn1 = 3.0\nn2 = 2.0\nn3 = 1.0\nt0 = n3 * 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 * 4.0\nt3 = t2 - t0\nt4 = n2 * t3\nanswer = t4 * n1\nprint(answer)" + ], + "Output Answer": [ + "1332" + ], + "split": "train" + }, + { + "Input": "johnny travels a total of one hour to and from school . on the way there he jogs at 5 miles per hour and on the return trip he gets picked up by the bus and returns home at 21 miles per hour . how far is it to the school ?", + "Output Program": [ + "n0 = 5.0\nn1 = 21.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1.0 / t2\nanswer = t3 * 1.6\nprint(answer)" + ], + "Output Answer": [ + "6.461538461538462" + ], + "split": "train" + }, + { + "Input": "a person can swim in still water at 8 km / h . if the speed of water 4 km / h , how many hours will the man take to swim back against the current for 8 km ?", + "Output Program": [ + "n0 = 8.0\nn1 = 4.0\nn2 = 8.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "two pipes p and q can fill a cistern in 10 and 15 minutes respectively . both are opened together , but at the end of 4 minutes the first is turned off . how many more minutes will it take for the cistern to fill after the first pipe is turned off ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = t2 * n2\nt4 = 1.0 - t3\nanswer = n1 * t4\nprint(answer)" + ], + "Output Answer": [ + "4.999999999999999" + ], + "split": "train" + }, + { + "Input": "express 20 mps in kmph ?", + "Output Program": [ + "n0 = 20.0\nt0 = n0 / 1000.0\nanswer = t0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "a large tanker can be filled by two pipes a and b in 60 and 40 minutes respectively . how many minutes will it take to fill the tanker from empty state if b is used for half the time and a and b fill it together for the other half ?", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nt3 = t2 + t1\nt4 = 1.0 / t3\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "29.999999999999993" + ], + "split": "train" + }, + { + "Input": "a cistern 4 m long and 2 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "23" + ], + "split": "train" + }, + { + "Input": "if m is the set of all consecutive multiples of 9 between 100 and 500 , what is the median of m ?", + "Output Program": [ + "import math\nn0 = 9.0\nn1 = 100.0\nn2 = 500.0\nt0 = n1 / n0\nt1 = n2 - n1\nt2 = t1 / n0\nt3 = math.floor(t0)\nt4 = math.floor(t2)\nt5 = n0 * t3\nt6 = t4 / 2.0\nt7 = n0 * t6\nt8 = t5 + t7\nt9 = n0 + t8\nt10 = t8 + t9\nanswer = t10 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "301.5" + ], + "split": "train" + }, + { + "Input": "a 300 meter long train crosses a platform in 42 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 42.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "john has rs 360 for his expenses . if he exceeds his days by 4 days he must cut down daily expenses by rs 3 . the number of days of john ' s tour program is", + "Output Program": [ + "import math\nn0 = 360.0\nn1 = 4.0\nn2 = 3.0\nt0 = n0 * n1\nt1 = n1 * n2\nt2 = n2 * 2.0\nt3 = n1 * t0\nt4 = t1**min(2.0, 5)\nt5 = n2 * t3\nt6 = t5 + t4\nt7 = math.sqrt(max(0, t6))\nt8 = t7 - t1\nanswer = t8 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a train 110 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train . find the speed of the train .", + "Output Program": [ + "n0 = 110.0\nn1 = 6.0\nn2 = 5.0\nt0 = n1 * 0.2778\nt1 = n0 / t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "60.994720422366214" + ], + "split": "train" + }, + { + "Input": "if 20 typists can type 48 letters in 20 minutes , then how many letters will 30 typists working at the same rate complete in 1 hour ?", + "Output Program": [ + "n0 = 20.0\nn1 = 48.0\nn2 = 20.0\nn3 = 30.0\nn4 = 1.0\nt0 = n1 * 3.0\nt1 = t0 / n0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "216" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 15 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 60 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", + "Output Program": [ + "n0 = 15.0\nn1 = 1.0\nn2 = 1.0\nn3 = 60.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "a train 90 m long running at 56 kmph crosses a platform in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 90.0\nn1 = 56.0\nn2 = 18.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "190.0224" + ], + "split": "train" + }, + { + "Input": "this topic is locked . if you want to discuss this question please re - post it in the respective forum . matt and peter can do together a piece of work in 20 days . after they have worked together for 12 days matt stops and peter completes the remaining work in 14 days . in how many days peter complete the work separately .", + "Output Program": [ + "n0 = 20.0\nn1 = 12.0\nn2 = 14.0\nt0 = 1.0 / 2.0\nt1 = n2 * 2.0\nt2 = n2 * t0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "the commuter rail between scottsdale and sherbourne is 200 km of track , and one train makes a round trip in 5 hours . if harsha boards the train at the forest grove station , which is located one fifth of the track ' s length out from scottsdale , how long will it take her to get to sherbourne ?", + "Output Program": [ + "n0 = 200.0\nn1 = 5.0\nt0 = n0 / n1\nt1 = n1 / 2.0\nt2 = t0 * t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "to asphalt 1 km road , 30 men spent 12 days working 8 hours per day . how many days , 20 men will spend to asphalt a road of 2 km working 10 hours a day ?", + "Output Program": [ + "n0 = 1.0\nn1 = 30.0\nn2 = 12.0\nn3 = 8.0\nn4 = 20.0\nn5 = 2.0\nn6 = 10.0\nt0 = n1 * n2\nt1 = n4 * n6\nt2 = n3 * t0\nt3 = n5 * t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "28.8" + ], + "split": "train" + }, + { + "Input": "two good train each 900 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one .", + "Output Program": [ + "n0 = 900.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = 1 / t1\nt3 = n0 * t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "86.39308855291577" + ], + "split": "train" + }, + { + "Input": "pascal has 96 miles remaining to complete his cycling trip . if he reduced his current speed by 4 miles per hour , the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50 % . what is his current speed w ?", + "Output Program": [ + "import math\nn0 = 96.0\nn1 = 4.0\nn2 = 16.0\nn3 = 50.0\nt0 = n0 / n2\nt1 = n3 / 100.0\nt2 = t1 + 1.0\nt3 = t0**min(2.0, 5)\nt4 = t0 / t2\nt5 = n1 * t4\nt6 = t5 * n1\nt7 = t6 + t3\nt8 = math.sqrt(max(0, t7))\nt9 = t0 + t8\nanswer = t9 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "pascal has 96 miles remaining to complete his cycling trip . if he reduced his current speed by 4 miles per hour , the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50 % . what is his current speed x ?", + "Output Program": [ + "import math\nn0 = 96.0\nn1 = 4.0\nn2 = 16.0\nn3 = 50.0\nt0 = n0 / n2\nt1 = n3 / 100.0\nt2 = t1 + 1.0\nt3 = t0**min(2.0, 5)\nt4 = t0 / t2\nt5 = n1 * t4\nt6 = t5 * n1\nt7 = t6 + t3\nt8 = math.sqrt(max(0, t7))\nt9 = t0 + t8\nanswer = t9 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "if there are 156 laborers in a crew , and on a certain day , 70 were present . calculate the percentage that showed up for work ? ( round to the nearest tenth ) .", + "Output Program": [ + "n0 = 156.0\nn1 = 70.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "44.87179487179487" + ], + "split": "train" + }, + { + "Input": "length of a rectangular plot is 12 mtr more than its breadth . if the cost of fencing the plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 12.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "56" + ], + "split": "train" + }, + { + "Input": "what is the length of a bridge ( in meters ) , which a train 140 meters long and travelling at 45 km / h can cross in 30 seconds ?", + "Output Program": [ + "n0 = 140.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "235.02999999999997" + ], + "split": "train" + }, + { + "Input": "a train crosses a platform of 140 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ?", + "Output Program": [ + "n0 = 140.0\nn1 = 15.0\nn2 = 250.0\nn3 = 20.0\nt0 = n1 / 3.0\nt1 = n1 / t0\nt2 = n3 / t0\nt3 = n2 * t1\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "190" + ], + "split": "train" + }, + { + "Input": "if the lcm and hcf of 4 and another number is 36 and 2 respectively . find the other number ?", + "Output Program": [ + "n0 = 4.0\nn1 = 36.0\nn2 = 2.0\nt0 = n1 * n2\nanswer = t0 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 3 hours ; b and c together can do it in 2 hours , which a and c together can do it in 2 hours . how long will b alone take to do it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "john and steve are speed walkers in a race . john is 12 meters behind steve when he begins his final push . john blazes to the finish at a pace of 4.2 m / s , while steve maintains a blistering 3.7 m / s speed . if john finishes the race 2 meters ahead of steve , how long was john \u2019 s final push ?", + "Output Program": [ + "n0 = 12.0\nn1 = 4.2\nn2 = 3.7\nn3 = 2.0\nt0 = n0 + n3\nt1 = n1 - n2\nt2 = n2 * t0\nt3 = t2 / t1\nt4 = t0 + t3\nanswer = t4 / n1\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 26 m * 2 m * 0.75 m ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 7.5\nn3 = 26.0\nn4 = 2.0\nn5 = 0.75\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n5 * 100.0\nt3 = t0 * t1\nt4 = t3 * t2\nt5 = t4 / n0\nt6 = t5 / n1\nanswer = t6 / n2\nprint(answer)" + ], + "Output Answer": [ + "26000" + ], + "split": "train" + }, + { + "Input": "convert the 13 / 48 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 13.0\nn1 = 48.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "0.975" + ], + "split": "train" + }, + { + "Input": "at 6 \u2032 o a clock ticks 6 times . the time between first and last ticks is 25 seconds . how long does it tick at 12 \u2032 o clock", + "Output Program": [ + "n0 = 6.0\nn1 = 6.0\nn2 = 25.0\nn3 = 12.0\nt0 = n0 - 1.0\nt1 = n3 - 1.0\nt2 = n2 / t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "train" + }, + { + "Input": "34 men can complete a piece of work in 18 days . in how many days will 17 men complete the same work ?", + "Output Program": [ + "n0 = 34.0\nn1 = 18.0\nn2 = 17.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 52 km / hr crosses a pole in 9 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 52.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "130" + ], + "split": "train" + }, + { + "Input": "bexy walks 5 miles from point a to point b in one hour , then bicycles back to point a along the same route at 15 miles per hour . ben makes the same round trip , but does so at half of bexy \u2019 s average speed . how many minutes does ben spend on his round trip ?", + "Output Program": [ + "n0 = 5.0\nn1 = 15.0\nt0 = n1 / 2.0\nt1 = n1 - n0\nt2 = t0 / 2.0\nt3 = t1 / t2\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "natasha climbs up a hill , and descends along the same way she went up . it takes her 4 hours to reach the top and 2 hours to come back down . if her average speed along the whole journey is 4 kilometers per hour , what was her average speed ( in kilometers per hour ) while climbing to the top ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 4.0\nt0 = n0 + n1\nt1 = n2 * t0\nt2 = t1 / n1\nanswer = t2 / n0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a start walking from a place at a uniform speed of 5 kmph in a particular direction . after half an hour , b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes . find the speed of b .", + "Output Program": [ + "n0 = 5.0\nn1 = 1.0\nn2 = 48.0\nt0 = n2 + 60.0\nt1 = t0 / 60.0\nt2 = n1 / t1\nanswer = n0 + t2\nprint(answer)" + ], + "Output Answer": [ + "5.555555555555555" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 110 m long and traveling at 45 km / hr can cross in 30 sec is ?", + "Output Program": [ + "n0 = 110.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "265" + ], + "split": "train" + }, + { + "Input": "if the wheel is 14 cm then the number of revolutions to cover a distance of 2904 cm is ?", + "Output Program": [ + "n0 = 14.0\nn1 = 2904.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "33.03002729754322" + ], + "split": "train" + }, + { + "Input": "working alone , a can complete a certain kind of job in 10 hours . a and d , working together at their respective rates , can complete one of these jobs in 5 hours . in how many hours can d , working alone , complete one of these jobs ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nt0 = 1 / n1\nt1 = 1 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "man can row upstream at 10 kmph and downstream at 20 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "by travelling at 80 kmph , a person reaches his destination on time . he covered two - third the total distance in one - third of the total time . what speed should he maintain for the remaining distance to reach his destination on time ?", + "Output Program": [ + "n0 = 80.0\nt0 = n0 * 3.0\nt1 = 3.0 - 1.0\nt2 = t0 * 2.0\nt3 = t2 / 3.0\nt4 = t0 - t3\nanswer = t4 / t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 50 kmph and including stoppages , it is 42 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 50.0\nn1 = 42.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "9.6" + ], + "split": "train" + }, + { + "Input": "a clock shows the time as 9 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 5 p . m . ?", + "Output Program": [ + "n0 = 9.0\nn1 = 5.0\nn2 = 5.0\nt0 = 3.0 + n2\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a plant manager must assign 6 new workers to one of five shifts . she needs a first , second , and third shift , and two alternate shifts . each of the shifts will receive 2 new workers . how many different ways can she assign the new workers ?", + "Output Program": [ + "import math\nn0 = 6.0\nn1 = 2.0\nt0 = n0 / n1\nt1 = math.factorial(min(15, int(n0)))\nt2 = math.factorial(min(15, int(n1)))\nt3 = n0 - n1\nt4 = math.factorial(min(15, int(t0)))\nt5 = math.factorial(min(15, int(t3)))\nt6 = t4 / 2.0\nt7 = t5 * t2\nt8 = t1 / t7\nanswer = t6 * t8\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s . if the circumference of the circle is 600 meters , after what time will they meet at the starting point ?", + "Output Program": [ + "n0 = 7.0\nn1 = 8.0\nn2 = 600.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "to fill a tank , 42 buckets of water is required . how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two - fifths of its present ?", + "Output Program": [ + "n0 = 42.0\nt0 = 1.0 + 4.0\nt1 = n0 * t0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "105" + ], + "split": "train" + }, + { + "Input": "sandy walked 20 meters towards south . then sandy turned to her left and walked 20 meters . she then turned to her left and walked 20 meters . she then turned to her right and walked 20 meters . what distance is she from the starting point and in which direction ?", + "Output Program": [ + "n0 = 20.0\nn1 = 20.0\nn2 = 20.0\nn3 = 20.0\n\nanswer = n0 + n3\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangularboxes of dimensions 4 cm x 7 cm x 6 cm . the maximum number ofboxes that can be carried in the wooden box , is", + "Output Program": [ + "n0 = 8.0\nn1 = 7.0\nn2 = 6.0\nn3 = 4.0\nn4 = 7.0\nn5 = 6.0\nt0 = n3 * 100.0\nt1 = n1 * 100.0\nt2 = n3 * 2.0\nt3 = t0 * t1\nt4 = n1 * t2\nt5 = t3 * t0\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "2000000" + ], + "split": "train" + }, + { + "Input": "a searchlight on top of the watch - tower makes 3 revolutions per minute . what is the probability that a man appearing near the tower will stay in the dark for at least 10 seconds ?", + "Output Program": [ + "n0 = 3.0\nn1 = 10.0\nt0 = 1.0 * 60.0\nt1 = t0 / n0\nt2 = n1 / t1\nanswer = 1.0 - t2\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "the time it took car p to travel 750 miles was 2 hours less than the time it took car r to travel the same distance . if car p \u2019 s average speed was 10 miles per hour greater than that of car r , what was car r \u2019 s average speed , in miles per hour ?", + "Output Program": [ + "import math\nn0 = 750.0\nn1 = 2.0\nn2 = 10.0\nt0 = n0 * n2\nt1 = -n2\nt2 = t0 / 2.0\nt3 = t1**min(2.0, 5)\nt4 = -t2\nt5 = t4 * 4.0\nt6 = t3 - t5\nt7 = math.sqrt(max(0, t6))\nt8 = t1 + t7\nanswer = t8 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "56.44102863722254" + ], + "split": "train" + }, + { + "Input": "the sides of a rectangular field are in the ratio 3 : 4 . if the area of the field is 8112 sq . m , the cost of fencing the field @ 25 paise per metre is", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 4.0\nn2 = 8112.0\nn3 = 25.0\nt0 = n0 * n1\nt1 = n2 / t0\nt2 = math.sqrt(max(0, t1))\nt3 = n0 * t2\nt4 = n1 * t2\nt5 = 2 * (t3 + t4) # perimetere of rectangle\nt6 = n3 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "91" + ], + "split": "train" + }, + { + "Input": "a can complete a project in 20 days and b can complete the same project in 30 days . if a and b start working on the project together and a quits 5 days before the project is completed , in how many days will the project be completed ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 5.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t1 + t0\nt3 = n2 * t0\nt4 = 1.0 - t3\nt5 = t4 / t2\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m , the cost of fencing it at 90 ps per meter is ?", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 2.0\nn2 = 3750.0\nn3 = 90.0\nt0 = n1 * n2\nt1 = t0 / n0\nt2 = math.sqrt(max(0, t1))\nt3 = n2 / t2\nt4 = 2 * (t3 + t2) # perimetere of rectangle\nt5 = n3 * t4\nanswer = t5 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "train" + }, + { + "Input": "in a 200 m race , a covers the distance in 45 seconds and b in 60 second . in this race a beats b by :", + "Output Program": [ + "n0 = 200.0\nn1 = 45.0\nn2 = 60.0\nt0 = n0 / n2\nt1 = n2 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "car a is 10 miles behind car b , which is traveling in the same direction along the same route as car a . car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour . how many hours will it take for car a to overtake and drive 8 miles ahead of car b ?", + "Output Program": [ + "n0 = 10.0\nn1 = 58.0\nn2 = 50.0\nn3 = 8.0\nt0 = n0 + n3\nt1 = n1 - n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "2.25" + ], + "split": "train" + }, + { + "Input": "in a 400 m race , a covers the distance in 60 seconds and b in 100 second . in this race a beats b by :", + "Output Program": [ + "n0 = 400.0\nn1 = 60.0\nn2 = 100.0\nt0 = n0 / n2\nt1 = n2 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "how many bricks , each measuring 25 cm x 11 cm x 6 cm , will be needed to build a wall of 8 m x 1 m x 5 cm ?", + "Output Program": [ + "n0 = 25.0\nn1 = 11.0\nn2 = 6.0\nn3 = 8.0\nn4 = 1.0\nn5 = 5.0\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "242.42424242424244" + ], + "split": "train" + }, + { + "Input": "harry started a 7 - mile hike with a full 9 - cup canteen of water and finished the hike in 2 hours with 3 cup of water remaining in the canteen . if the canteen leaked at the rate of 1 cup per hour and harry drank 2 cups of water during the last mile , how many cups did he drink per mile during the first 6 miles of the hike ?", + "Output Program": [ + "n0 = 7.0\nn1 = 9.0\nn2 = 2.0\nn3 = 3.0\nn4 = 1.0\nn5 = 2.0\nn6 = 6.0\nt0 = n1 - n2\nt1 = t0 - n5\nt2 = t1 - n4\nanswer = t2 / n6\nprint(answer)" + ], + "Output Answer": [ + "0.6666666666666666" + ], + "split": "train" + }, + { + "Input": "the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1.40 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?", + "Output Program": [ + "import math\nn0 = 3136.0\nn1 = 3.0\nn2 = 1.4\nn3 = 1.0\nt0 = n3 * 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 * 4.0\nt3 = t2 - t0\nt4 = n2 * t3\nanswer = t4 * n1\nprint(answer)" + ], + "Output Answer": [ + "932.3999999999999" + ], + "split": "train" + }, + { + "Input": "it was calculated that 100 men could complete a piece of work in 20 days . when work was scheduled to commence , it was found necessary to send 50 men to another project . how much longer will it take to complete the work ?", + "Output Program": [ + "n0 = 100.0\nn1 = 20.0\nn2 = 50.0\nt0 = n0 / n2\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "if a is thrice as fast as b and together can do a work in 15 days . in how many days a alone can do the work ?", + "Output Program": [ + "n0 = 15.0\nt0 = n0 * 4.0\nt1 = 3.0 / t0\nanswer = 1 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a and b can finish a work 30 days if they work together . they worked together for 20 days and then b left . a finished the remaining work in another 20 days . in how many days a alone can finish the work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 20.0\nn2 = 20.0\nt0 = n0 - n1\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 39 days for the patch to cover the entire lake , how many days would it take the patch to cover half of the lake ?", + "Output Program": [ + "n0 = 39.0\n\nanswer = n0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "38" + ], + "split": "train" + }, + { + "Input": "two trains 200 m and 800 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 200.0\nn1 = 800.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "35.997120230381576" + ], + "split": "train" + }, + { + "Input": "in a dairy farm , 40 cows eat 40 bags of husk in 40 days . in how many days one cow will eat one bag of husk ?", + "Output Program": [ + "n0 = 40.0\nn1 = 40.0\nn2 = 40.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route . they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up , but the time each route will take is the same . if they will go up the mountain at a rate of 5 miles per day and it will take them two days , how many miles long is the route down the mountain ?", + "Output Program": [ + "n0 = 5.0\nt0 = 3.0 / 2.0\nt1 = n0 * 2.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "40 litres of diesel is required to travel 600 km using a 800 cc engine . if the volume of diesel required to cover a distance varies directly as the capacity of the engine , then how many litres of diesel is required to travel 800 km using 1200 cc engine ?", + "Output Program": [ + "n0 = 40.0\nn1 = 600.0\nn2 = 800.0\nn3 = 800.0\nn4 = 1200.0\nt0 = n1 * n2\nt1 = n0 / t0\nt2 = n2 * t1\nanswer = n4 * t2\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "a train 275 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 275.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a company has two models of computers , model m and model n . operating at a constant rate , a model m computer can complete a certain task in 36 minutes and a model n computer can complete the same task in 18 minutes . if the company used the same number of each model of computer to complete the task in 1 minute , how many model m computers were used ?", + "Output Program": [ + "n0 = 36.0\nn1 = 18.0\nn2 = 1.0\nt0 = 1 / n1\nt1 = 1 / n0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "if 4 men can colour 48 m long cloth in 2 days , then 6 men can colour 36 m long cloth in ?", + "Output Program": [ + "n0 = 4.0\nn1 = 48.0\nn2 = 2.0\nn3 = 6.0\nn4 = 36.0\nt0 = n0 * n2\nt1 = n1 / t0\nt2 = n3 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "in one hour , a boat goes 15 km along the stream and 5 km against the stream . the speed of the boat in still water ( in km / hr ) is :", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "if 10 spiders make 5 webs in 5 days , then how many days are needed for 1 spider to make 1 web ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nn2 = 5.0\nn3 = 1.0\nn4 = 1.0\n\nanswer = n0 * n3\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "marla starts running around a circular track at the same time nick starts walking around the same circular track . marla completes 10 laps around the track per hour and nick completes 5 laps around the track per hour . how many minutes after marla and nick begin moving will marla have completed 4 more laps around the track than nick ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nn2 = 4.0\nt0 = n1 + 1.0\nt1 = n0 * t0\nt2 = n0 / t1\nt3 = n1 / t1\nt4 = t2 - t3\nanswer = n2 / t4\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "a certain number of men can do a work in 40 days . if there were 5 men less it could be finished in 10 days more . how many men are there ?", + "Output Program": [ + "n0 = 40.0\nn1 = 5.0\nn2 = 10.0\nt0 = n0 + n2\nt1 = n1 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "14 men can complete a piece of work in 25 days . in how many days can 20 men complete that piece of work ?", + "Output Program": [ + "n0 = 14.0\nn1 = 25.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "17.5" + ], + "split": "train" + }, + { + "Input": "a train leaves mumabai at 9 am at a speed of 40 kmph . after one hour , another train leaves mumbai in the same direction as that of the first train at a speed of 50 kmph . when and at what distance from mumbai do the two trains meet ?", + "Output Program": [ + "n0 = 9.0\nn1 = 40.0\nn2 = 50.0\nt0 = n1 * 1.0\nt1 = n2 - n1\nt2 = t0 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "if an object travels 300 feet in 5 seconds , what is the object ' s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 300.0\nn1 = 5.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 / n3\nt1 = n2 / 3600.0\nt2 = n1 * t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "40.90909090909091" + ], + "split": "train" + }, + { + "Input": "a alone can finish a work in 10 days which b alone can finish in 15 days . if they work together and finish it , then out of a total wages of rs . 3400 , a will get :", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 3400.0\nt0 = n1 * 2.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = t1 / t3\nanswer = n2 * t4\nprint(answer)" + ], + "Output Answer": [ + "2040" + ], + "split": "train" + }, + { + "Input": "the lcm of two numbers is 2310 and hcf is 83 . if one of the numbers is 210 . then what is the other number ?", + "Output Program": [ + "n0 = 2310.0\nn1 = 83.0\nn2 = 210.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "913" + ], + "split": "train" + }, + { + "Input": "nhai employs 100 men to build a highway of 2 km in 50 days working 8 hours a day . if in 25 days , they completed 1 / 3 part of work . than how many more employees should nhai hire to finish it in time working 10 hours a day ?", + "Output Program": [ + "n0 = 100.0\nn1 = 2.0\nn2 = 50.0\nn3 = 8.0\nn4 = 25.0\nn5 = 1.0\nn6 = 3.0\nn7 = 10.0\nt0 = n0 * n4\nt1 = n4 * n7\nt2 = n3 * t0\nt3 = n1 * t2\nt4 = t3 / t1\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "if 36 men can do a piece of work in 25 hours , in how many hours will 10 men do it ?", + "Output Program": [ + "n0 = 36.0\nn1 = 25.0\nn2 = 10.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "x does a work in 15 days . y does the same work in 30 days . in how many days they together will do the same work ?", + "Output Program": [ + "n0 = 15.0\nn1 = 30.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 25 hr . if all pipes are opened simultaneously , then the cistern will be filled in", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nn2 = 25.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "6.976744186046512" + ], + "split": "train" + }, + { + "Input": "the inner circumference of a circle race track 18 m wide is 880 m . find the radius of the outer circle .", + "Output Program": [ + "n0 = 18.0\nn1 = 880.0\nt0 = n1 / 3.141592653589793\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "140.0563499208679" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 130 meters long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 130.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "245" + ], + "split": "train" + }, + { + "Input": "a can finish a work in 18 days and b can do the same work in 15 days . b worked for 10 days and left the job . in how many days , a alone can finish the remaining work ?", + "Output Program": [ + "n0 = 18.0\nn1 = 15.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = n2 * t0\nt2 = n0 * t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "mahesh can do a piece of work in 40 days . he works at it for 20 days and then rajesh finished it in 30 days . how long will y take to complete the work ?", + "Output Program": [ + "n0 = 40.0\nn1 = 20.0\nn2 = 30.0\nt0 = 1.0 / n0\nt1 = n1 * t0\nt2 = 1.0 - t1\nt3 = t2 / n2\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a work as fast as b . if b can complete a work in 36 days independently , the number of days in which a and b can together finish the work in ?", + "Output Program": [ + "n0 = 36.0\nt0 = 1 / n0\nt1 = t0 * 2.0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "pipe a fills a tank of capacity 850 liters at the rate of 40 liters a minute . another pipe b fills the same tank at the rate of 30 liters a minute . a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute . if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated , when will the tank be full ?", + "Output Program": [ + "n0 = 850.0\nn1 = 40.0\nn2 = 30.0\nn3 = 20.0\nt0 = n1 + n2\nt1 = t0 - n3\nt2 = n0 / t1\nanswer = t2 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "51" + ], + "split": "train" + }, + { + "Input": "tap a runs 3 liters of water per minute into a bucket that has a total volume of 36 liters . tap b fills a third of the bucket in 20 mins . working together how long will it take both taps to fill the bucket ?", + "Output Program": [ + "n0 = 3.0\nn1 = 36.0\nn2 = 20.0\nt0 = n1 / n0\nt1 = n0 * n2\nt2 = 1.0 / t0\nt3 = 1.0 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "one day eesha started 30 min late from home and reached her office 50 min late while driving 25 % slower than her usual speed . how much time in min does eesha usually take to reach her office from home ?", + "Output Program": [ + "n0 = 30.0\nn1 = 50.0\nn2 = 25.0\nt0 = n2 / 100.0\nt1 = n1 - n0\nt2 = 1.0 - t0\nt3 = t2 * t1\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "two trains of equal length , running with the speeds of 50 and 40 kmph , take 50 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?", + "Output Program": [ + "n0 = 50.0\nn1 = 40.0\nn2 = 50.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 * 0.2778\nt3 = t1 * 0.2778\nt4 = 1 / t2\nt5 = n2 * t3\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "5.555555555555555" + ], + "split": "train" + }, + { + "Input": "if 6 men can colour 48 m long cloth in 2 days , then 2 men can colour 36 m long cloth in", + "Output Program": [ + "n0 = 6.0\nn1 = 48.0\nn2 = 2.0\nn3 = 2.0\nn4 = 36.0\nt0 = n0 * n2\nt1 = n1 / t0\nt2 = n3 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "a , b , k start from the same place and travel in the same direction at speeds of 30 km / hr , 40 km / hr , 60 km / hr respectively . b starts five hours after a . if b and k overtake a at the same instant , how many hours after a did k start ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 60.0\n\nanswer = n1 - n0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "in what time will a train 400 meters long cross an electric pole , if its speed is 144 km / hr", + "Output Program": [ + "n0 = 400.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "9.99920006399488" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 600 m long train take to cross a man walking with a speed of 4 km / hr in the direction of the moving train if the speed of the train is 64 km / hr ?", + "Output Program": [ + "n0 = 600.0\nn1 = 4.0\nn2 = 64.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "35.99712023038157" + ], + "split": "train" + }, + { + "Input": "a glucose solution contains 20 grams of glucose per 1000 cubic centimeters of solution . if 500 cubic centimeters of the solution were poured into an empty container , how many grams of glucose would be in the container ?", + "Output Program": [ + "n0 = 20.0\nn1 = 1000.0\nn2 = 500.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "the curved surface of a sphere is 64 pi cm 2 . find its radius ?", + "Output Program": [ + "import math\nn0 = 64.0\nn1 = 2.0\nt0 = n0 / 4.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a hollow iron pipe is 42 cm long and its external diameter is 8 cm . if the thickness of the pipe is 1 cm and iron weighs 3 g / cm 3 , then the weight of the pipe is :", + "Output Program": [ + "import math\nn0 = 42.0\nn1 = 8.0\nn2 = 1.0\nn3 = 3.0\nn4 = 3.0\nt0 = n1 / 2.0\nt1 = t0 - n2\nt2 = math.pi * t0**2 * n0\nt3 = math.pi * t1**2 * n0\nt4 = t2 - t3\nt5 = n3 * t4\nanswer = t5 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "2.770884720466198" + ], + "split": "train" + }, + { + "Input": "a train 80 m in length crosses a telegraph post in 6 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 80.0\nn1 = 6.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 7 kmph and downstream at 33 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 7.0\nn1 = 33.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 30 metres ?", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 30.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "5.999520038396929" + ], + "split": "train" + }, + { + "Input": "a man can row 8 kmph in still water . when the river is running at 2 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?", + "Output Program": [ + "n0 = 8.0\nn1 = 2.0\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 35 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 35.0\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "179.95574287564276" + ], + "split": "train" + }, + { + "Input": "a train moves with a speed of 72 kmph . its speed in metres per second is", + "Output Program": [ + "n0 = 72.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "20.0016" + ], + "split": "train" + }, + { + "Input": "a can finish a piece of work in 5 days . b can do it in 10 days . they work together for two days and then a goes away . in how many days will b finish the work ?", + "Output Program": [ + "n0 = 5.0\nn1 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 * 2.0\nt3 = t1 * 2.0\nt4 = t2 + t3\nt5 = 1.0 - t4\nanswer = t5 / t1\nprint(answer)" + ], + "Output Answer": [ + "3.999999999999999" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 5 hours . due to a leak at the bottom , it takes 10 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?", + "Output Program": [ + "n0 = 5.0\nn1 = 10.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "hcf and lcm two numbers are 14 and 396 respectively . if one of the numbers is 36 , then the other number is ?", + "Output Program": [ + "n0 = 14.0\nn1 = 396.0\nn2 = 36.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "154" + ], + "split": "train" + }, + { + "Input": "a light flashes every 12 seconds , how many times will it flash in ? of an hour ?", + "Output Program": [ + "n0 = 12.0\n\nanswer = 3600.0 / n0\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 4 days , b and c in 6 days , c and a in 3 days . how long will c take to do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 3.0\nt0 = n0 * 3.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t5 / 2.0\nt7 = t6 - t1\nanswer = t0 / t7\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a can do a work in 9 days and b can do the same work in 18 days . if they work together , in how many days will they complete the work ?", + "Output Program": [ + "n0 = 9.0\nn1 = 18.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "jim drove 642 miles of a 1200 miles journey . how many more miles does he need to drive to finish his journey ?", + "Output Program": [ + "n0 = 642.0\nn1 = 1200.0\n\nanswer = n1 - n0\nprint(answer)" + ], + "Output Answer": [ + "558" + ], + "split": "train" + }, + { + "Input": "working together , jose and jane can complete an assigned task in 30 days . however , if jose worked alone and complete half the work and then jane takes over the task and completes the second half of the task , the task will be completed in 45 days . how long will jose take to complete the task if he worked alone ? assume that jane is more efficient than jose", + "Output Program": [ + "n0 = 30.0\nn1 = 45.0\n\nanswer = n0 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "two trains are running in opposite directions in the same speed . the length of each train is 120 meter . if they cross each other in 8 seconds , the speed of each train ( in km / hr ) is", + "Output Program": [ + "n0 = 120.0\nn1 = 8.0\nt0 = n0 + n0\nt1 = t0 / n1\nt2 = t1 / 2.0\nanswer = t2 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "lloyd normally works 7.5 hours per day and earns $ 5.50 per hour . for each hour he works in excess of 7.5 hours on a given day , he is paid 1.5 times his regular rate . if lloyd works 10.5 hours on a given day , how much does he earn for that day ?", + "Output Program": [ + "n0 = 7.5\nn1 = 5.5\nn2 = 7.5\nn3 = 1.5\nn4 = 10.5\nt0 = n0 * n1\nt1 = n4 - n0\nt2 = n3 * t1\nt3 = n1 * t2\nanswer = t0 + t3\nprint(answer)" + ], + "Output Answer": [ + "66" + ], + "split": "train" + }, + { + "Input": "how many hours are there in 1200 minutes ?", + "Output Program": [ + "n0 = 1200.0\n\nanswer = n0 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "worker a takes 5 hours to do a job . worker b takes 15 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?", + "Output Program": [ + "n0 = 5.0\nn1 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.75" + ], + "split": "train" + }, + { + "Input": "there are 14 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?", + "Output Program": [ + "n0 = 14.0\nt0 = n0 + 1.0\nt1 = t0 + 1.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "a swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side . its volume is ?", + "Output Program": [ + "n0 = 9.0\nn1 = 12.0\nn2 = 1.0\nn3 = 4.0\nt0 = n1 * (n2 + n3) / 2 # quadrilateral area\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "270" + ], + "split": "train" + }, + { + "Input": "a trader sells 85 meters of cloth for rs . 8925 at the profit of rs . 25 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 85.0\nn1 = 8925.0\nn2 = 25.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "an aeroplane covers a certain distance of 480 kmph in 4 hours . to cover the same distance in 4 1 / 3 hours , it must travel at a speed of", + "Output Program": [ + "n0 = 480.0\nn1 = 4.0\nn2 = 4.0\nn3 = 1.0\nn4 = 3.0\nt0 = n0 * n1\nt1 = n2 * n4\nt2 = n3 + t1\nt3 = t2 / n4\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "443.0769230769231" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 500 resolutions ?", + "Output Program": [ + "n0 = 22.4\nn1 = 500.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "703.9999999999999" + ], + "split": "train" + }, + { + "Input": "12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 16 cm height . what is the diameter of each sphere ?", + "Output Program": [ + "import math\nn0 = 12.0\nn1 = 16.0\nn2 = 16.0\nt0 = n1 / 2.0\nt1 = math.pi * t0**2 * n2\nt2 = t1 / 3.141592653589793\nt3 = t2 * 3.0\nt4 = t3 / 4.0\nt5 = t4 / n0\nt6 = t5 / 4.0\nt7 = t6 / 4.0\nanswer = t7 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 250 metres long and travelling at 72 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 250.0\nn1 = 72.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "if 7 spiders make 7 webs in 7 days , then 1 spider will make 1 web in how many days ?", + "Output Program": [ + "n0 = 7.0\nn1 = 7.0\nn2 = 7.0\nn3 = 1.0\nn4 = 1.0\n\nanswer = n0 * n3\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a rectangular lawn 55 m by 35 m has two roads each 4 m wide running in the middle of it . one parallel to the length and the other parallel to breadth . the cost of graveling the roads at 75 paise per sq meter is", + "Output Program": [ + "n0 = 55.0\nn1 = 35.0\nn2 = 4.0\nn3 = 75.0\nt0 = n0 + n1\nt1 = t0 - n2\nt2 = t1 * 4.0\nt3 = n3 * t2\nanswer = t3 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "258" + ], + "split": "train" + }, + { + "Input": "earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops . working together , how long will it take earl and ellen to stuff 60 envelopes", + "Output Program": [ + "n0 = 36.0\nn1 = 60.0\nt0 = 3.0 / 2.0\nt1 = n0 / t0\nt2 = n0 + t1\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 15 minutes and pipe b cam empty it in 24 minutes . if both the pipes are opened together after how many minutes should pipe b be closed , so that the tank is filled in 30 minutes ?", + "Output Program": [ + "n0 = 15.0\nn1 = 24.0\nn2 = 30.0\nt0 = n2 / n0\nt1 = t0 - 1.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a farming field can be ploughed by 6 tractors in 4 days . when 6 tractors work together , each of them ploughs 120 hectares a day . if two of the tractors were moved to another field , then the remaining 4 tractors could plough the same field in 5 days . how many hectares a day would one tractor plough then ?", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nn2 = 6.0\nn3 = 120.0\nn4 = 4.0\nn5 = 5.0\nt0 = n0 * n3\nt1 = n1 * n5\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "144" + ], + "split": "train" + }, + { + "Input": "a pipe can empty 3 / 4 th of a cistern in 12 mins . in 8 mins , what part of the cistern will be empty ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 12.0\nn3 = 8.0\nt0 = n0 / n1\nt1 = n3 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "there are 24 students in a seventh grade class . they decided to plant birches and roses at the school ' s backyard . while each girl planted 3 roses , every three boys planted 1 birch . by the end of the day they planted 24 plants . how many birches and roses were planted ?", + "Output Program": [ + "n0 = 24.0\nn1 = 3.0\nn2 = 1.0\nn3 = 24.0\nt0 = n0 * n1\nt1 = n1 * n1\nt2 = t0 - n0\nt3 = t1 - n2\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "if ajay completes a certain work in 8 days and vijay can complete the same work in 24 days , find the time in which the work will be completed if both ajay and vijay work together .", + "Output Program": [ + "n0 = 8.0\nn1 = 24.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 9 of all the paint . during the second week , he uses 1 / 5 of the remaining paint . how many gallons of paint has joe used ?", + "Output Program": [ + "n0 = 360.0\nn1 = 1.0\nn2 = 9.0\nn3 = 1.0\nn4 = 5.0\nt0 = n0 / n2\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n4\nanswer = t3 + t1\nprint(answer)" + ], + "Output Answer": [ + "104" + ], + "split": "train" + }, + { + "Input": "dexter and prexter are competing with each other in a friendly community competition in a pool of 50 m length and the race is for 1000 m . dexter crosses 50 m in 2 min and prexter in 3 min 15 sec . each time they meet / cross each other , they do handshake ' s . how many such handshake ' s will happen if they start from the same end at the same time ?", + "Output Program": [ + "n0 = 50.0\nn1 = 1000.0\nn2 = 50.0\nn3 = 2.0\nn4 = 3.0\nn5 = 15.0\nt0 = n1 / n0\nanswer = t0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 6 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 6.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "16 men can complete a piece of work in 28 days . in how many days can 20 men complete that piece of work ?", + "Output Program": [ + "n0 = 16.0\nn1 = 28.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "22.4" + ], + "split": "train" + }, + { + "Input": "a garrison of 2000 men has provisions for 65 days . at the end of 15 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ?", + "Output Program": [ + "n0 = 2000.0\nn1 = 65.0\nn2 = 15.0\nn3 = 20.0\nt0 = n0 * n1\nt1 = n0 * n2\nt2 = t0 - t1\nt3 = t2 / n3\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "3000" + ], + "split": "train" + }, + { + "Input": "in what time will a railway train 70 m long moving at the rate of 36 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 70.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "6.999440044796416" + ], + "split": "train" + }, + { + "Input": "the speed of a train is 72 kmph . what is the distance covered by it in 20 minutes ?", + "Output Program": [ + "n0 = 72.0\nn1 = 20.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "at 6 \u2032 o a clock ticks 6 times . the time between first and last ticks is 45 seconds . how long does it tick at 12 \u2032 o clock", + "Output Program": [ + "n0 = 6.0\nn1 = 6.0\nn2 = 45.0\nn3 = 12.0\nt0 = n0 - 1.0\nt1 = n3 - 1.0\nt2 = n2 / t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "99" + ], + "split": "train" + }, + { + "Input": "how many bricks each measuring 20 cm x 10 cm x 8 cm , will be needed to build a wall 10 m x 8 m x 24.5 m", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 8.0\nn3 = 10.0\nn4 = 8.0\nn5 = 24.5\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = n5 * t0\nt3 = n2 * t1\nt4 = t3 / 100.0\nt5 = t4 / 100.0\nanswer = t2 / t5\nprint(answer)" + ], + "Output Answer": [ + "12250" + ], + "split": "train" + }, + { + "Input": "i remember during the school days , the teacher asked the class ` ` can you tell me the sum of the first 50 odd numbers ? ` ` . i ran quickly to the teacher and told her ` ` the answer is 2500 ' ' . the teacher replied ` ` lucky guess ' ' . she then asked me ` ` can you tell me the sum of first 75 odd numbers ? ` ` . i wait for approx 10 seconds and replied with the correct answer . how can i answer so quickly and whats the correct answer ?", + "Output Program": [ + "n0 = 50.0\nn1 = 2500.0\nn2 = 75.0\nn3 = 10.0\n\nanswer = n2**min(2.0, 5)\nprint(answer)" + ], + "Output Answer": [ + "5625" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 54 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 54.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "600.0000000000001" + ], + "split": "train" + }, + { + "Input": "a can run 4 times as fast as b and gives b a start of 72 m . how long should the race course be so that a and b might reach in the same time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 72.0\nt0 = n1 / n0\nt1 = n0 - 1.0\nt2 = t0 / t1\nt3 = n0 * t2\nanswer = n1 + t3\nprint(answer)" + ], + "Output Answer": [ + "96" + ], + "split": "train" + }, + { + "Input": "an employer pays rs . 30 for each day a worker works , and forfeits rs . 5 for each day he is idle . at the end of 60 days , a worker gets rs . 500 . for how many days did the worker remain idle ?", + "Output Program": [ + "n0 = 30.0\nn1 = 5.0\nn2 = 60.0\nn3 = 500.0\nt0 = n0 * n2\nt1 = n0 - n1\nt2 = -t1\nt3 = n3 - t0\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "52" + ], + "split": "train" + }, + { + "Input": "a can finish a piece of work in 5 days . b can do it in 15 days . they work together for two days and then a goes away . in how many days will b finish the work ?", + "Output Program": [ + "n0 = 5.0\nn1 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 * 2.0\nt3 = t1 * 2.0\nt4 = t2 + t3\nt5 = 1.0 - t4\nanswer = t5 / t1\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 16 cm", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 16.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "304" + ], + "split": "train" + }, + { + "Input": "a policeman noticed a criminal from a distance of 180 km . the criminal starts running and the policeman chases him . the criminal and the policeman run at the rate of 8 km and 9 km per hour respectively . what is the distance between them after 5 minutes ?", + "Output Program": [ + "n0 = 180.0\nn1 = 8.0\nn2 = 9.0\nn3 = 5.0\nt0 = n3 / 60.0\nt1 = t0 * 1000.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "96.66666666666667" + ], + "split": "train" + }, + { + "Input": "54 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?", + "Output Program": [ + "n0 = 54.0\nn1 = 8.0\nn2 = 30.0\nn3 = 50.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n3 * t1\nt3 = t2 / n4\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "66" + ], + "split": "train" + }, + { + "Input": "water boils at 212 \u00b0 f or 100 \u00b0 c and ice melts at 32 \u00b0 f or 0 \u00b0 c . if the temperature of a pot of water is 45 \u00b0 c , what is the temperature of the pot of water in \u00b0 f ?", + "Output Program": [ + "n0 = 212.0\nn1 = 100.0\nn2 = 32.0\nn3 = 0.0\nn4 = 45.0\nt0 = n0 - n2\nt1 = t0 / n1\nt2 = n4 * t1\nanswer = n2 + t2\nprint(answer)" + ], + "Output Answer": [ + "113" + ], + "split": "train" + }, + { + "Input": "a and b can complete a work in 30 days and 15 day . they started doing the work together but after 5 days b had to leave and a alone completed the remaining work . the whole work was completed in ?", + "Output Program": [ + "n0 = 30.0\nn1 = 15.0\nn2 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nt4 = 1.0 - t3\nt5 = n0 * t4\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "karen places a bet with tom that she will beat tom in a car race by 4 miles even if karen starts 4 minutes late . assuming that karen drives at an average speed of 60 mph and tom drives at an average speed of 45 mph , how many e miles will tom drive before karen wins the bet ?", + "Output Program": [ + "n0 = 4.0\nn1 = 4.0\nn2 = 60.0\nn3 = 45.0\nt0 = n3 / 60.0\nt1 = n2 / 60.0\nt2 = n0 * t0\nt3 = t1 - t0\nt4 = n0 + t2\nt5 = t4 / t3\nanswer = t5 - n0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a large tank can filled by a and b in 60 minutes and 40 minutes respectively . how many minutes will it take to fill the tanker from empty state if b is used for half the time and a and b fill it together for the other half ?", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = t2 + t1\nt4 = 1.0 / t3\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "29.999999999999993" + ], + "split": "train" + }, + { + "Input": "a person walks from one end to the other of a 100 - meter long moving walkway at a constant rate in 25 seconds , assisted by the walkway . when this person reaches the end , they reverse direction and continue walking with the same speed , but this time it takes 150 seconds because the person is traveling against the direction of the moving walkway . if the walkway were to stop moving , how many seconds would it take this person to walk from one end of the walkway to the other ?", + "Output Program": [ + "n0 = 100.0\nn1 = 25.0\nn2 = 150.0\nt0 = n0 / n1\nt1 = n0 / n2\nt2 = t0 + t1\nt3 = t2 / 2.0\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "42.857142857142854" + ], + "split": "train" + }, + { + "Input": "a certain number of workers can do a work in 65 days . if there were 10 workers more it could be finished in 10 days less . how many workers are there ?", + "Output Program": [ + "n0 = 65.0\nn1 = 10.0\nn2 = 10.0\nt0 = n0 - n1\nt1 = n1 * t0\nt2 = n0 - t0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "train" + }, + { + "Input": "walking at the rate of 8 kmph a man cover certain distance in 4 hr 45 min . running at a speed of 19 kmph the man will cover the same distance in .", + "Output Program": [ + "n0 = 8.0\nn1 = 4.0\nn2 = 45.0\nn3 = 19.0\nt0 = n2 / 60.0\nt1 = n1 + t0\nt2 = n0 * t1\nt3 = t2 / n3\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "a train 420 m long , running with a speed of 63 km / hr will pass a tree in ?", + "Output Program": [ + "n0 = 420.0\nn1 = 63.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "every day daniel drives 100 miles back from work . on sunday , daniel drove all the way back from work at a constant speed of x miles per hour . on monday , daniel drove the first 32 miles back from work at ( 2 x ) miles per hour , and the rest of the way at ( x / 2 ) miles per hour . the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent ?", + "Output Program": [ + "n0 = 100.0\nn1 = 32.0\nn2 = 2.0\nn3 = 2.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 * n2\nt3 = t0 + t2\nt4 = t3 - n0\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "52" + ], + "split": "train" + }, + { + "Input": "in 150 m race , a covers the distance in 36 seconds and b in 45 seconds . in this race a beats b by :", + "Output Program": [ + "n0 = 150.0\nn1 = 36.0\nn2 = 45.0\nt0 = n0 / n2\nt1 = n2 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 10 kmph . if he rows downstream , where the speed of current is 2 kmph , what time will he take to cover 60 metres ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 60.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190788" + ], + "split": "train" + }, + { + "Input": "a man misses a bus by 40 minutes if he travels at 30 kmph . if he travels at 40 kmph , then also he misses the bus by 10 minutes . what is the minimum speed required to catch the bus on time ?", + "Output Program": [ + "n0 = 40.0\nn1 = 30.0\nn2 = 40.0\nn3 = 10.0\nt0 = n1 / 60.0\nt1 = n0 / 60.0\nt2 = n0 * 3.0\nt3 = t0 * t2\nt4 = t3 / n1\nt5 = t4 - t1\nanswer = t3 / t5\nprint(answer)" + ], + "Output Answer": [ + "44.99999999999999" + ], + "split": "train" + }, + { + "Input": "a jogger running at 9 kmph along side a railway track is 250 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?", + "Output Program": [ + "n0 = 9.0\nn1 = 250.0\nn2 = 120.0\nn3 = 45.0\nt0 = n1 + n2\nt1 = n3 - n0\nt2 = t0 / 1000.0\nt3 = t2 / t1\nt4 = t3 * 60.0\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "37" + ], + "split": "train" + }, + { + "Input": "a train traveling at 42 kms / hr passes a cyclist going in the same direction in 9 secs . if the cyclist had been going in the opposite direction , the train would have passed him in 5 secs . find the length of the train .", + "Output Program": [ + "n0 = 42.0\nn1 = 9.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = n0 * 1000.0\nt2 = t1 / 3600.0\nt3 = n1 * t2\nt4 = n2 * t2\nt5 = t3 - t4\nt6 = t5 / t0\nt7 = t2 - t6\nanswer = n1 * t7\nprint(answer)" + ], + "Output Answer": [ + "74.99999999999999" + ], + "split": "train" + }, + { + "Input": "john can complete a given task in 16 days . jane will take only 12 days to complete the same task . john and jane set out to complete the task by beginning to work together . however , jane was indisposed 5 days before the work got over . in how many days did the work get over from the time john and jane started to work on it together ?", + "Output Program": [ + "n0 = 16.0\nn1 = 12.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = n1 * n2\nt3 = t1 - t2\nt4 = t3 / t0\nanswer = n2 + t4\nprint(answer)" + ], + "Output Answer": [ + "9.714285714285715" + ], + "split": "train" + }, + { + "Input": "a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 400 m long ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 120.0\nn2 = 400.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 8 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 8.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "1162.5" + ], + "split": "train" + }, + { + "Input": "a train 280 m long , running with a speed of 63 km / hr will pass a tree in ?", + "Output Program": [ + "n0 = 280.0\nn1 = 63.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "if the l . c . m of two numbers is 750 and their product is 18750 , find the h . c . f of the numbers", + "Output Program": [ + "n0 = 750.0\nn1 = 18750.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a person p takes 4 hrs time to complete a job and q takes 6 hrs to complete the same job if they work together how much time will they require to complete the job ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "2.4000000000000004" + ], + "split": "train" + }, + { + "Input": "a man can row at 5 kmph in still water . if the velocity of the current is 1 kmph and it takes him 1 hour to row to a place and come back , how far is the place ?", + "Output Program": [ + "n0 = 5.0\nn1 = 1.0\nn2 = 1.0\nt0 = n0 - n1\nt1 = t0 * 3.0\nanswer = t1 / n0\nprint(answer)" + ], + "Output Answer": [ + "2.4" + ], + "split": "train" + }, + { + "Input": "a factory produces 5505 toys per week . if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?", + "Output Program": [ + "n0 = 5505.0\nn1 = 5.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "1101" + ], + "split": "train" + }, + { + "Input": "8 men , working 8 hours a day can complete a work in 24 days . how many hours a day must 12 men work to complete the same work in 16 days ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 24.0\nn3 = 12.0\nn4 = 16.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a train is 460 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 460.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 4 of all the paint . during the second week , he uses 1 / 6 of the remaining paint . how many gallons of paint has joe used ?", + "Output Program": [ + "n0 = 360.0\nn1 = 1.0\nn2 = 4.0\nn3 = 1.0\nn4 = 6.0\nt0 = n0 / n2\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n4\nanswer = t3 + t1\nprint(answer)" + ], + "Output Answer": [ + "135" + ], + "split": "train" + }, + { + "Input": "on a map , 1 inch represents 28 miles . how many c inches would be necessary to represent a distance of 383.6 miles ?", + "Output Program": [ + "n0 = 1.0\nn1 = 28.0\nn2 = 383.6\n\nanswer = n2 / n1\nprint(answer)" + ], + "Output Answer": [ + "13.700000000000001" + ], + "split": "train" + }, + { + "Input": "if the wheel is 14 cm then the number of revolutions to cover a distance of 1232 cm is ?", + "Output Program": [ + "n0 = 14.0\nn1 = 1232.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "14.012738853503185" + ], + "split": "train" + }, + { + "Input": "angelina walked 180 meters from her home to the grocery at a constant speed . she then walked 240 meters to the gym at double the speed . she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ?", + "Output Program": [ + "n0 = 180.0\nn1 = 240.0\nn2 = 40.0\nt0 = n1 / 2.0\nt1 = n0 - t0\nt2 = t1 / n2\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "there is food for 760 men for 22 days . how many more men should join after two days so that the same food may last for 4 days more ?", + "Output Program": [ + "n0 = 760.0\nn1 = 22.0\nn2 = 4.0\nt0 = n1 - 2.0\nt1 = n0 * t0\nt2 = t1 / n2\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "3040" + ], + "split": "train" + }, + { + "Input": "a boat goes 100 km downstream in 10 hours , and 200 km upstream in 25 hours . the speed of the stream is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 200.0\nn3 = 25.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "mr . bhaskar is on tour and he has rs . 360 for his expenses . if he exceeds his tour by 4 days , he must cut down his daily expenses by rs . 3 . for how many days is mr . bhaskar on tour ?", + "Output Program": [ + "n0 = 360.0\nn1 = 4.0\nn2 = 3.0\nt0 = 3.0 * 3.0\nt1 = t0 * 2.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "which greatest possible length can be used to measure exactly 12 meter 34 cm , 8 meter 98 cm and 6 meter 65 cm", + "Output Program": [ + "import math\nn0 = 12.0\nn1 = 34.0\nn2 = 8.0\nn3 = 98.0\nn4 = 6.0\nn5 = 65.0\nt0 = n0 * 100.0\nt1 = n2 * 100.0\nt2 = n1 + t0\nt3 = n3 + t1\nt4 = t2 / t3\nanswer = math.floor(t4)\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "convert 0.38 in to a vulgar fraction ?", + "Output Program": [ + "n0 = 0.38\nt0 = 2.0 + 3.0\nt1 = t0 * 2.0\nt2 = t1 * t1\nt3 = n0 * t2\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.38" + ], + "split": "train" + }, + { + "Input": "a cistern is normally filled in 14 hours but takes two hours longer to fill because of a leak in its bottom . if the cistern is full , the leak will empty it in ?", + "Output Program": [ + "n0 = 14.0\nt0 = n0 + 2.0\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t1 - t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "112.00000000000006" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 6 days , b and c in 8 days , c and a in 12 days . how long will c take to do it ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 12.0\nt0 = n0 * 3.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t5 / 2.0\nt7 = t6 - t1\nanswer = t0 / t7\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "john can row at 5 kmph and still water . he takes 5 hours to row from a to b and back . what is the distance between a and b if the speed of the stream is 1 kmph ?", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 1.0\nt0 = n0 + n2\nt1 = n0 - n2\nt2 = n2 / t0\nt3 = n2 / t1\nt4 = t2 + t3\nanswer = n0 / t4\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000002" + ], + "split": "train" + }, + { + "Input": "a , b and c completed a piece of work , a worked for 6 days , b for 9 days and c for 4 days . their daily wages were in the ratio of 3 : 4 : 5 . find the daily wages of c , if their total earning was rs . 1628 ?", + "Output Program": [ + "n0 = 6.0\nn1 = 9.0\nn2 = 4.0\nn3 = 3.0\nn4 = 4.0\nn5 = 5.0\nn6 = 1628.0\nt0 = n0 * n3\nt1 = n1 * n2\nt2 = n2 * n5\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = n6 / t4\nanswer = n5 * t5\nprint(answer)" + ], + "Output Answer": [ + "110" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 100 resolutions .", + "Output Program": [ + "n0 = 22.4\nn1 = 100.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "140.79999999999998" + ], + "split": "train" + }, + { + "Input": "speed of a boat in standing water is 9 kmph and the speed of the stream is 6 kmph . a man rows to place at a distance of 210 km and comes back to the starting point . the total time taken by him is :", + "Output Program": [ + "n0 = 9.0\nn1 = 6.0\nn2 = 210.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "train" + }, + { + "Input": "a cistern 9 m long and 4 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :", + "Output Program": [ + "n0 = 9.0\nn1 = 4.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "68.5" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 24 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 140 km downstream", + "Output Program": [ + "n0 = 24.0\nn1 = 4.0\nn2 = 140.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "two trains of equal length 120 metres move in the same direction . the faster train completely overtakes the slower one in 15 seconds . if the slower train were to move at half its speed , the over taking would take in 10 seconds . at what speeds are the 2 trains moving ( faster and slower respectively in m / s )", + "Output Program": [ + "n0 = 120.0\nn1 = 15.0\nn2 = 10.0\nn3 = 2.0\nt0 = n0 + n0\nt1 = t0 / n2\nt2 = t0 / n1\nt3 = n3 * t1\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a can do a work in 15 days and b in 20 days . if they work on it together for 4 days , then the fraction of the work that is left is ?", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.5333333333333333" + ], + "split": "train" + }, + { + "Input": "a train 165 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 165.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "the radius of the wheel of a bus is 140 cms and the speed of the bus is 66 km / h , then the r . p . m . ( revolutions per minutes ) of the wheel is", + "Output Program": [ + "n0 = 140.0\nn1 = 66.0\nt0 = n1 * 1000.0\nt1 = 1.0 * 60.0\nt2 = 3.0 * 4.0\nt3 = 2.0 * 4.0\nt4 = n0 * 2.0\nt5 = t2 + 2.0\nt6 = t3 + 2.0\nt7 = t0 * 100.0\nt8 = t7 / t1\nt9 = t6**min(2.0, 5)\nt10 = t5 / t9\nt11 = t10 + 3.0\nt12 = t11 * t4\nanswer = t8 / t12\nprint(answer)" + ], + "Output Answer": [ + "125.11373976342128" + ], + "split": "train" + }, + { + "Input": "a can finish a work in 15 days and b can do the same work in 15 days . b worked for 10 days and left the job . in how many days , a alone can finish the remaining work ?", + "Output Program": [ + "n0 = 15.0\nn1 = 15.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = n2 * t0\nt2 = n0 * t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 12 seconds . what is the length of the train in meters ?", + "Output Program": [ + "n0 = 100.0\nn1 = 64.0\nn2 = 12.0\nt0 = n0 - n1\nt1 = t0 * 0.2778\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "120.0096" + ], + "split": "train" + }, + { + "Input": "a , b , c can complete a piece of work in 21 , 6,12 days . working together , they complete the same work in how many days ?", + "Output Program": [ + "n0 = 21.0\nn1 = 6.0\nn2 = 12.0\nt0 = 2.0 + 4.0\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t0 * 2.0\nt4 = t1 + t2\nt5 = 1.0 / t3\nt6 = t4 + t5\nanswer = 1.0 / t6\nprint(answer)" + ], + "Output Answer": [ + "3.36" + ], + "split": "train" + }, + { + "Input": "a machine , working at a constant rate , manufactures 40 pencils in 30 minutes . how many pencils does it make in 1 hr 30 min ?", + "Output Program": [ + "n0 = 40.0\nn1 = 30.0\nn2 = 1.0\nn3 = 30.0\nt0 = n2 * 60.0\nt1 = n3 + t0\nt2 = t1 / n1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 80 seconds . what is the length of the train in meters ?", + "Output Program": [ + "n0 = 100.0\nn1 = 64.0\nn2 = 80.0\nt0 = n0 - n1\nt1 = t0 * 0.2778\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "800.064" + ], + "split": "train" + }, + { + "Input": "if 8 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days ?", + "Output Program": [ + "n0 = 8.0\nn1 = 80.0\nn2 = 24.0\nn3 = 36.0\nn4 = 30.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t1 / n1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "450" + ], + "split": "train" + }, + { + "Input": "how long does a train 150 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length ?", + "Output Program": [ + "n0 = 150.0\nn1 = 72.0\nn2 = 132.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "14.098872090232781" + ], + "split": "train" + }, + { + "Input": "a train is 300 meter long is running at a speed of 35 km / hour . in what time will it pass a bridge of 115 meter length ?", + "Output Program": [ + "n0 = 300.0\nn1 = 35.0\nn2 = 115.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "42.68571428571429" + ], + "split": "train" + }, + { + "Input": "an intern wants to label folders with numbers using digit stickers only . if the intern uses 999 stickers , how many folders have been numbered ? ( the numbers of the folders are consecutive and the number of the first folder is 1 ) .", + "Output Program": [ + "n0 = 999.0\nn1 = 1.0\nt0 = 100.0 * 3.0\nt1 = 3.0 * 3.0\nt2 = t0 + 60.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "369" + ], + "split": "train" + }, + { + "Input": "a hollow iron pipe is 21 cm long and its external diameter is 8 cm . if the thickness of the pipe is 1 cm and iron weighs , then the weight of the pipe is", + "Output Program": [ + "n0 = 21.0\nn1 = 8.0\nn2 = 1.0\nt0 = n0 + 1.0\nt1 = 3.0 + 4.0\nt2 = 4.0**min(2.0, 5)\nt3 = 3.0**min(2.0, 5)\nt4 = t0 / t1\nt5 = t2 - t3\nt6 = t4 * t5\nt7 = n0 * t6\nt8 = n1 * t7\nanswer = t8 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "3.696" + ], + "split": "train" + }, + { + "Input": "a person walks from one end to the other of a 90 - meter long moving walkway at a constant rate in 30 seconds , assisted by the walkway . when this person reaches the end , they reverse direction and continue walking with the same speed , but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway . if the walkway were to stop moving , how many seconds would it take this person to walk from one end of the walkway to the other ?", + "Output Program": [ + "n0 = 90.0\nn1 = 30.0\nn2 = 120.0\nt0 = n0 / n1\nt1 = n0 / n2\nt2 = t0 + t1\nt3 = t2 / 2.0\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "a 420 meter long train crosses a platform in 60 seconds while it crosses a signal pole in 30 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 420.0\nn1 = 60.0\nn2 = 30.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "420" + ], + "split": "train" + }, + { + "Input": "two trains of length 400 m and 200 m are 200 m apart . they start moving towards each other on parallel tracks , at speeds 54 kmph and 36 kmph . after how much time will the trains meet ?", + "Output Program": [ + "n0 = 400.0\nn1 = 200.0\nn2 = 200.0\nn3 = 54.0\nn4 = 36.0\nt0 = n3 + n4\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "7.999360051195905" + ], + "split": "train" + }, + { + "Input": "noelle walks from point a to point b at an average speed of 5 kilometers per hour . at what speed , in kilometers per hour , must noelle walk from point b to point a so that her average speed for the entire trip is 8 kilometers per hour ?", + "Output Program": [ + "n0 = 5.0\nn1 = 8.0\nt0 = n0 * n1\nt1 = n0 * 2.0\nt2 = t1 - n1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "in what time will a train 250 metres long cross an electric pole , if its speed be 162 km / hr ?", + "Output Program": [ + "n0 = 250.0\nn1 = 162.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "5.5551111466638226" + ], + "split": "train" + }, + { + "Input": "if 50 apprentices can finish a job in 4 hours , and 30 journeymen can finish the same job in 5 hours , how much of the job should be completed by 10 apprentices and 15 journeymen in one hour ?", + "Output Program": [ + "n0 = 50.0\nn1 = 4.0\nn2 = 30.0\nn3 = 5.0\nn4 = 10.0\nn5 = 15.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / n4\nt3 = t1 / n5\nt4 = 1.0 / t2\nt5 = 1.0 / t3\nanswer = t4 + t5\nprint(answer)" + ], + "Output Answer": [ + "0.15000000000000002" + ], + "split": "train" + }, + { + "Input": "two trains 121 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 121.0\nn1 = 165.0\nn2 = 80.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.100121645440779" + ], + "split": "train" + }, + { + "Input": "a certain bacteria colony doubles in size every day for 21 days , at which point it reaches the limit of its habitat and can no longer grow . if two bacteria colonies start growing simultaneously , how many days will it take them to reach the habitat \u2019 s limit ?", + "Output Program": [ + "n0 = 21.0\nt0 = n0 / n0\nanswer = n0 - t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a alone can do a piece of work in 6 days and b alone in 8 days . a and b undertook to do it for rs . 4000 . with the help of c , they completed the work in 3 days . how much is to be paid to c ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 4000.0\nn3 = 3.0\nt0 = 1 / n3\nt1 = 1 / n1\nt2 = 1 / n0\nt3 = t1 + t2\nt4 = t0 - t3\nt5 = n2 * t4\nanswer = n3 * t5\nprint(answer)" + ], + "Output Answer": [ + "500.0000000000002" + ], + "split": "train" + }, + { + "Input": "a group of men decided to do a work in 40 days , but 5 of them became absent . if the rest of the group did the work in 60 days , find the original number of men ?", + "Output Program": [ + "n0 = 40.0\nn1 = 5.0\nn2 = 60.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "with both valves open , the pool will be filled with water in 48 minutes . the first valve alone would fill the pool in 2 hours . if the second valve emits 50 cubic meters of water more than the first every minute , then what is the capacity e of the pool ?", + "Output Program": [ + "n0 = 48.0\nn1 = 2.0\nn2 = 50.0\nt0 = 1.0 + 4.0\nt1 = n0 / 60.0\nt2 = t0 * t1\nt3 = t2 * 60.0\nanswer = n2 * t3\nprint(answer)" + ], + "Output Answer": [ + "12000" + ], + "split": "train" + }, + { + "Input": "how many seconds will it take for a car that is traveling at a constant rate of 90 miles per hour to travel a distance of 22 yards ? ( 1 mile = 1,160 yards )", + "Output Program": [ + "n0 = 90.0\nn1 = 22.0\nn2 = 1.0\nn3 = 1160.0\nt0 = n0 + n0\nt1 = n0 / 3600.0\nt2 = t0 - 4.0\nt3 = t2 * 10.0\nt4 = t1 * t3\nanswer = n1 / t4\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "two carpenters , working in the same pace , can build 2 desks in two hours and a half . how many desks can 4 carpenters build in 5 hours ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nn2 = 5.0\nt0 = n2 / n0\nt1 = n0 / t0\nt2 = t1 / n0\nt3 = n1 * t2\nanswer = n2 * t3\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a person starts walking at a speed of 5 km / hr through half the distance , rest of the distance he covers with aspeed 4 km / hr . total time of travel is 6 hours . what is the maximum distance he can cover ?", + "Output Program": [ + "n0 = 5.0\nn1 = 4.0\nn2 = 6.0\nt0 = n0 * 2.0\nt1 = n1 * 2.0\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n2 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "26.666666666666668" + ], + "split": "train" + }, + { + "Input": "there are 15 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?", + "Output Program": [ + "n0 = 15.0\nt0 = n0 + 1.0\nt1 = t0 + 1.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "272" + ], + "split": "train" + }, + { + "Input": "how long will it take a train travelling at 68 kmph to pass an electric pole if the train is 170 m long", + "Output Program": [ + "n0 = 68.0\nn1 = 170.0\nt0 = n1 / 1000.0\nt1 = t0 / n0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "on a trip covering 250 km , a bicyclist travels the first 100 km at 20 km per hour and the remainder of the distance at 15 km per hour . what is the average speed , in km per hour , for the entire trip ?", + "Output Program": [ + "n0 = 250.0\nn1 = 100.0\nn2 = 20.0\nn3 = 15.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 / n3\nt3 = t0 + t2\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "16.666666666666668" + ], + "split": "train" + }, + { + "Input": "an outlet pipe can empty 2 / 3 of a cistern in 12 minutes . in 4 minutes , what part of the cistern will be emptied ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 12.0\nn3 = 4.0\nt0 = n0 / n1\nt1 = n3 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "0.2222222222222222" + ], + "split": "train" + }, + { + "Input": "an engineer undertakes a project to build a road 15 km long in 300 days and employs 30 men for the purpose . after 100 days , he finds only 2.5 km of the road has been completed . find the ( approximate ) number of extra men he must employ to finish the work in time .", + "Output Program": [ + "n0 = 15.0\nn1 = 300.0\nn2 = 30.0\nn3 = 100.0\nn4 = 2.5\nt0 = n0 - n4\nt1 = n1 - n3\nt2 = n2 * t0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t4 / t3\nanswer = t5 - n2\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "the speed at which a woman can row a boat in still water is 30 kmph . if he rows downstream , where the speed of current is 6 kmph , what time will he take to cover 100 metres ?", + "Output Program": [ + "n0 = 30.0\nn1 = 6.0\nn2 = 100.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "9.99920006399488" + ], + "split": "train" + }, + { + "Input": "a train 110 m long is running with a speed of 80 km / h . in how many seconds will the train pass a man who is running at 8 km / h in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 80.0\nn2 = 8.0\nt0 = n1 + n2\nt1 = t0 / 3.6\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "18 men can complete a piece of work in 30 days . in how many days can 15 men complete that piece of work ?", + "Output Program": [ + "n0 = 18.0\nn1 = 30.0\nn2 = 15.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "the reciprocal of the hcf and lcm of two are 1 / 13 and 1 / 312 . if one of the number is 24 then other no . is", + "Output Program": [ + "n0 = 1.0\nn1 = 13.0\nn2 = 1.0\nn3 = 312.0\nn4 = 24.0\nt0 = n1 * n3\nanswer = t0 / n4\nprint(answer)" + ], + "Output Answer": [ + "169" + ], + "split": "train" + }, + { + "Input": "the speed of a car increases by 2 kms after every one hour . if the distance travelling in the first one hour was 55 kms . what was the total distance travelled in 12 hours ?", + "Output Program": [ + "n0 = 2.0\nn1 = 55.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = n0 * n1\nt2 = n2 - 1.0\nt3 = n0 * t2\nt4 = t1 + t3\nanswer = t4 * t0\nprint(answer)" + ], + "Output Answer": [ + "792" + ], + "split": "train" + }, + { + "Input": "a train 500 m long can cross an electric pole in 20 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 500.0\nn1 = 20.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a train 1020 m long running at 102 kmph crosses a platform in 50 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 1020.0\nn1 = 102.0\nn2 = 50.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "396.78" + ], + "split": "train" + }, + { + "Input": "a rock is dropped into a well and the distance traveled is 16 t 2 feet , where t is the time . if the water splash is heard 3 seconds after the rock was dropped , and that the speed of sound is 1100 ft / sec , approximate the height of the well", + "Output Program": [ + "import math\nn0 = 16.0\nn1 = 2.0\nn2 = 3.0\nn3 = 1100.0\nt0 = n3 * n3\nt1 = n2 * n3\nt2 = n0 * 4.0\nt3 = n0 * 2.0\nt4 = t1 * t2\nt5 = t0 + t4\nt6 = math.sqrt(max(0, t5))\nt7 = t6 - n3\nt8 = t7 / t3\nt9 = t8 * t8\nanswer = n0 * t9\nprint(answer)" + ], + "Output Answer": [ + "132.6554877278726" + ], + "split": "train" + }, + { + "Input": "two bullet trains of equal lengths take 8 seconds and 15 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?", + "Output Program": [ + "n0 = 8.0\nn1 = 15.0\nn2 = 120.0\nt0 = n2 + n2\nt1 = n2 / n0\nt2 = n2 / n1\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "10.434782608695652" + ], + "split": "train" + }, + { + "Input": "two trains 110 meters and 180 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 110.0\nn1 = 180.0\nn2 = 80.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.199424046076314" + ], + "split": "train" + }, + { + "Input": "a clock shows the time as 11 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 6 p . m . ?", + "Output Program": [ + "n0 = 11.0\nn1 = 5.0\nn2 = 6.0\nt0 = 3.0 + 4.0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 18 km and upstream 12 km taking 3 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 18.0\nn1 = 12.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "two numbers n and 12 have lcm = 54 and gcf = 8 . find n .", + "Output Program": [ + "n0 = 12.0\nn1 = 54.0\nn2 = 8.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "car a runs at the speed of 80 km / hr & reaches its destination in 5 hr . car b runs at the speed of 100 km / h & reaches its destination in 2 h . what is the respective ratio of distances covered by car a & car b ?", + "Output Program": [ + "n0 = 80.0\nn1 = 5.0\nn2 = 100.0\nn3 = 2.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a train 320 m in length crosses a telegraph post in 12 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 320.0\nn1 = 12.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "96" + ], + "split": "train" + }, + { + "Input": "john bought 9.25 m of cloth for $ 444 . find the cost price per metre .", + "Output Program": [ + "n0 = 9.25\nn1 = 444.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "an woman swims downstream 81 km and upstream 36 km taking 9 hours each time ; what is the speed of the current ?", + "Output Program": [ + "n0 = 81.0\nn1 = 36.0\nn2 = 9.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "train" + }, + { + "Input": "in a 200 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is :", + "Output Program": [ + "n0 = 200.0\nn1 = 56.0\nn2 = 7.0\nt0 = n2 / n1\nt1 = n0 * t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a horse chases a pony 3 hours after the pony runs . horse takes 4 hours to reach the pony . if the average speed of the horse is 35 kmph , what s the average speed of the pony ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 35.0\nt0 = n0 + n1\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 60 questions and secures 150 marks , the no of questions he attempts correctly is :", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 60.0\nn3 = 150.0\nt0 = n2 + n3\nt1 = n0 + n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "16 boys or 24 girls can construct the wall in 6 days . the number of days that 8 boys and 12 girls will take to construct ?", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nn2 = 6.0\nn3 = 8.0\nn4 = 12.0\nt0 = 1.0 / n2\nt1 = t0 / n1\nt2 = t0 / n0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t3 + t4\nanswer = 1.0 / t5\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 60 minutes ?", + "Output Program": [ + "n0 = 15.0\nn1 = 60.0\nt0 = 60.0 / n0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "1 / 3 rd of work is completed by kiran in 6 days . in how many days he can finish the remaining work ?", + "Output Program": [ + "n0 = 1.0\nn1 = 3.0\nn2 = 6.0\nt0 = n1 * n2\nt1 = t0 * 2.0\nanswer = t1 / 3.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "find the middle one when the sum of 3 consecutive even numbers is 57 ?", + "Output Program": [ + "n0 = 3.0\nn1 = 57.0\nt0 = n0 + n0\nt1 = n1 - t0\nt2 = t1 / n0\nanswer = t2 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "circular gears p and q start rotating at the same time at constant speeds . gear p makes 10 revolutions per minute and gear q makes 40 revolutions per minute . how many seconds after the gears start rotating will gear q have made exactly 10 more revolutions than gear p ?", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nn2 = 10.0\nt0 = n1 / 60.0\nt1 = n0 / 60.0\nt2 = t0 - t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a worker earns $ 24 on the first day and spends $ 18 on the second day . the worker earns $ 24 on the third day and spends $ 18 on the fourth day . if this pattern continues , on which day will the worker first reach a net total of $ 48 ?", + "Output Program": [ + "n0 = 24.0\nn1 = 18.0\nn2 = 24.0\nn3 = 18.0\nn4 = 48.0\nt0 = n0 - n1\nt1 = n0 / t0\nt2 = t1 * 2.0\nanswer = t2 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "riya and priya set on a journey . riya moves eastward at a speed of 24 kmph and priya moves westward at a speed of 35 kmph . how far will be priya from riya after 45 minutes", + "Output Program": [ + "n0 = 24.0\nn1 = 35.0\nn2 = 45.0\nt0 = n0 + n1\nt1 = t0 / 60.0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "44.25" + ], + "split": "train" + }, + { + "Input": "if the speed of a man is 45 km per hour , then what is the distance traveled by him in 30 seconds ?", + "Output Program": [ + "n0 = 45.0\nn1 = 30.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "375.03" + ], + "split": "train" + }, + { + "Input": "a participated in cycling contest and he drove the lap at the rate of 6 kmph , 12 kmph , 18 kmph , 24 kmph . . what is his average speed ?", + "Output Program": [ + "n0 = 6.0\nn1 = 12.0\nn2 = 18.0\nn3 = 24.0\nt0 = n3 + 1.0\nt1 = 100.0 * 3.0\nt2 = t1 - 12.0\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "11.52" + ], + "split": "train" + }, + { + "Input": "kathleen can paint a room in 2 hours , and anthony can paint an identical room in 5 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?", + "Output Program": [ + "n0 = 2.0\nn1 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1.0 / t2\nanswer = t3 * n0\nprint(answer)" + ], + "Output Answer": [ + "2.857142857142857" + ], + "split": "train" + }, + { + "Input": "paul and jack are 2 mechanics who work 8 hours per day changing oil in cars at the oil spot . if paul can change oil in 2 cars per hour , and jack can change oil in 3 cars per hour . what is the least number of cars per work day the 2 men can finish ?", + "Output Program": [ + "n0 = 2.0\nn1 = 8.0\nn2 = 2.0\nn3 = 3.0\nn4 = 2.0\nt0 = n1 * n3\nt1 = n1 * 2.0\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "someone on a skateboard is traveling 10 miles per hour . how many feet does she travel in 20 seconds ? ( 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 * n3\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "293.3333333333333" + ], + "split": "train" + }, + { + "Input": "a person crosses a 600 m long street in 2 minutes . what is his speed in km per hour ?", + "Output Program": [ + "n0 = 600.0\nn1 = 2.0\nt0 = n0 / 1000.0\nt1 = n1 * 60.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "in what time will a railway train 30 m long moving at the rate of 36 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 30.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.9997600191984644" + ], + "split": "train" + }, + { + "Input": "a 50 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?", + "Output Program": [ + "n0 = 50.0\nn1 = 2.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "14.285714285714285" + ], + "split": "train" + }, + { + "Input": "in a 100 m race between rose and diane , rose lost to diane by 0.75 m . if diane was given a 7 m head start , how many meters more will it take before rose overtakes diane ?", + "Output Program": [ + "n0 = 100.0\nn1 = 0.75\nn2 = 7.0\nt0 = n0 - n1\nt1 = n2 - n1\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "11.91" + ], + "split": "train" + }, + { + "Input": "one pump drains one - half of a pond in 5 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ?", + "Output Program": [ + "n0 = 5.0\nt0 = n0 * 2.0\nt1 = 1.0 / t0\nt2 = 1.0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "1.1111111111111112" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 30 days , while b and c can do the same work in 24 days and c and a in 20 days . they all work together for 10 days when b and c leave . how many days more will a take to finish the work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 24.0\nn2 = 20.0\nn3 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = t4 / 2.0\nt6 = n3 * t5\nt7 = t5 - t1\nt8 = 1.0 - t6\nanswer = t8 / t7\nprint(answer)" + ], + "Output Answer": [ + "17.999999999999996" + ], + "split": "train" + }, + { + "Input": "a and b together can complete a work in 12 days . a alone can complete it in 20 days . if b does the work only for half a day daily , then in how many days a and b together will complete the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nt3 = 1 / t2\nanswer = t3 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "15.000000000000004" + ], + "split": "train" + }, + { + "Input": "a 400 meter long train crosses a platform in 45 seconds while it crosses a signal pole in 30 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 400.0\nn1 = 45.0\nn2 = 30.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "a person travels equal distances with speed of 3 km / hr , 4 km / hr and 5 km / hr and takes a total of 47 minutes . find the total distane", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 5.0\nn3 = 47.0\nt0 = n3 / 60.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = 1.0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t0 / t5\nanswer = t6 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "3.000000000000001" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 3 seconds . find the length of the train .", + "Output Program": [ + "n0 = 60.0\nn1 = 3.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "two cars start at the same time from opposite ends of a highway that is 45 miles long . one car is riding at 14 mph and the second car is riding at 16 mph . how long after they begin will they meet ?", + "Output Program": [ + "n0 = 45.0\nn1 = 14.0\nn2 = 16.0\nt0 = n1 + n2\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "train" + }, + { + "Input": "tim and \u00e9 lan are 180 miles away from one another . they are starting to move towards each other simultaneously , tim at a speed of 10 mph and \u00e9 lan at a speed of 5 mph . if every hour they double their speeds , what is the distance that tim will pass until he meets \u00e9 lan ?", + "Output Program": [ + "n0 = 180.0\nn1 = 10.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 100 meters long take to cross a bridge 120 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 120.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "21.998240140788738" + ], + "split": "train" + }, + { + "Input": "a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 190 kilometers ?", + "Output Program": [ + "n0 = 40.0\nn1 = 190.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "4.75" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 8 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.800000000000001" + ], + "split": "train" + }, + { + "Input": "on a map , 1.5 inches represent 24 miles . how many miles approximately is the distance if you measured 48 centimeters assuming that 1 - inch is 2.54 centimeters ?", + "Output Program": [ + "n0 = 1.5\nn1 = 24.0\nn2 = 48.0\nn3 = 1.0\nn4 = 2.54\nt0 = n2 / n4\nt1 = n1 / n0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "302.3622047244094" + ], + "split": "train" + }, + { + "Input": "a pipe can empty 1 / 4 th of a cistern in 12 mins . in 8 mins , what part of the cistern will be empty ?", + "Output Program": [ + "n0 = 1.0\nn1 = 4.0\nn2 = 12.0\nn3 = 8.0\nt0 = n0 / n1\nt1 = n3 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "0.16666666666666666" + ], + "split": "train" + }, + { + "Input": "suppose 8 monkeys take 8 minutes to eat 8 banana ' s . how many minutes would it take 3 monkeys to eat 3 banana ' s ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 8.0\nn3 = 3.0\nn4 = 3.0\nt0 = n3 / n0\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 38 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 38.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "333.33333333333337" + ], + "split": "train" + }, + { + "Input": "two trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 36 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 120.0\nn1 = 280.0\nn2 = 42.0\nn3 = 36.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "18.460061656605934" + ], + "split": "train" + }, + { + "Input": "if 9 engines consume 24 metric tonnes of coal , when each is working 8 hoursa day , how much coal will be required for 8 engines , each running 13 hours a day , it is being given that 3 engines of former type consume as much as 4 engines of latter type ?", + "Output Program": [ + "n0 = 9.0\nn1 = 24.0\nn2 = 8.0\nn3 = 8.0\nn4 = 13.0\nn5 = 3.0\nn6 = 4.0\nt0 = n0 / n5\nt1 = n1 * 0.25\nt2 = t1 / t0\nanswer = n4 * t2\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "it takes 40 identical printing presses 15 hours to print 500,000 papers . how many hours would it take 30 of these printing presses to print 500,000 papers ?", + "Output Program": [ + "n0 = 40.0\nn1 = 15.0\nn2 = 500000.0\nn3 = 30.0\nn4 = 500000.0\nt0 = 1000.0 / 2.0\nt1 = t0 * 1000.0\nt2 = t1 / n0\nt3 = t2 / n1\nt4 = n3 * t3\nanswer = t1 / t4\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "if a certain number of people can dig earth 100 m deep , 25 m long , and 30 m broad in 12 days , then find the number of days the same number of people will require to dig earth 75 m deep , 20 m long and 50 m broad .", + "Output Program": [ + "n0 = 100.0\nn1 = 25.0\nn2 = 30.0\nn3 = 12.0\nn4 = 75.0\nn5 = 20.0\nn6 = 50.0\nt0 = n0 * n1\nt1 = n4 * n5\nt2 = n2 * t0\nt3 = n6 * t1\nt4 = n3 * t2\nanswer = t4 / t3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "there is enough provisions for 2400 women in an army camp for 100 days . if there were 1200 men less , how long will the provision last ?", + "Output Program": [ + "n0 = 2400.0\nn1 = 100.0\nn2 = 1200.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "a thief steals a car at 2.30 pm and drives it at 60 kmph . the theft is discovered at 3 pm and the owner sets off in another car at 75 kmph when will he overtake the thief", + "Output Program": [ + "n0 = 2.3\nn1 = 60.0\nn2 = 3.0\nn3 = 75.0\nt0 = n1 / 2.0\nt1 = n3 - n1\nt2 = t0 / t1\nanswer = n2 + t2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "if the radius of a circle that centers at the origin is 5 , how many m points on the circle have integer coordinates ?", + "Output Program": [ + "n0 = 5.0\nt0 = n0 + 4.0\nt1 = n0 * n0\nt2 = 2.0**min(2.0, 5)\nt3 = t1 - t0\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "dan can do a job alone in 15 hours . annie , working alone , can do the same job in just 10 hours . if dan works alone for 3 hours and then stops , how many hours will it take annie , working alone , to complete the job ?", + "Output Program": [ + "n0 = 15.0\nn1 = 10.0\nn2 = 3.0\nt0 = n2 / n0\nt1 = 1.0 - t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "if 60 honey bees make 60 grams of honey in 60 days , then 1 honey bee will make 1 gram of honey in how many days ?", + "Output Program": [ + "n0 = 60.0\nn1 = 60.0\nn2 = 60.0\nn3 = 1.0\nn4 = 1.0\nt0 = n3 / n0\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 6 km / hr . if he rows downstream , where the speed of current is 3 km / hr , how many seconds will he take to cover 110 meters ?", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nn2 = 110.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "43.996480281577476" + ], + "split": "train" + }, + { + "Input": "24 buckets of water fill a tank when the capacity of each bucket is 13.5 litres . how many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres ?", + "Output Program": [ + "n0 = 24.0\nn1 = 13.5\nn2 = 9.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 900 metre long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 900.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "53.99568034557235" + ], + "split": "train" + }, + { + "Input": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 36 kmph , find the speed of the stream ?", + "Output Program": [ + "n0 = 36.0\nt0 = n0 * 2.0\nt1 = t0 / 3.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "find the area , diameter = 10 m .", + "Output Program": [ + "import math\nn0 = 10.0\nt0 = n0 / 2.0\nanswer = math.pi * t0**2\nprint(answer)" + ], + "Output Answer": [ + "78.53981633974483" + ], + "split": "train" + }, + { + "Input": "tom , working alone , can paint a room in 12 hours . peter and john , working independently , can paint the same room in 6 hours and 2 hours , respectively . tom starts painting the room and works on his own for two hour . he is then joined by peter and they work together for two hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ?", + "Output Program": [ + "n0 = 12.0\nn1 = 6.0\nn2 = 2.0\nt0 = 2.0 * 4.0\nt1 = t0 + 1.0\nanswer = 4.0 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.4444444444444444" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 100 metres ?", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 100.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "19.99840012798976" + ], + "split": "train" + }, + { + "Input": "one pipe can fill a tank 3 times as fast as another pipe . if together the two pipes can fill tank in 40 min , then the slower pipe alone will be able to fill the tank in ?", + "Output Program": [ + "n0 = 3.0\nn1 = 40.0\nt0 = n0 + 1.0\nt1 = 1.0 / t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "at the opening of a trading day at a certain stock exchange , the price per share of stock m was $ 25 . if the price per share of stock m was $ 28 at the closing of the day , what was the percent increase in the price per share of stock m for that day ?", + "Output Program": [ + "n0 = 25.0\nn1 = 28.0\nt0 = n1 / n0\nt1 = t0 - 1.0\nanswer = t1 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "12.00000000000001" + ], + "split": "train" + }, + { + "Input": "a train passes a platform in 40 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is", + "Output Program": [ + "n0 = 40.0\nn1 = 20.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "300.024" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 40 km / hr crosses a pole in 27 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 40.0\nn1 = 27.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "the edges of a cuboid are 4 cm , 4 cm and 6 cm . find the volume of the cuboid ?", + "Output Program": [ + "n0 = 4.0\nn1 = 4.0\nn2 = 6.0\n\nanswer = n0 * n1 * n2\nprint(answer)" + ], + "Output Answer": [ + "96" + ], + "split": "train" + }, + { + "Input": "the sum of all consecutive odd integers from \u2212 23 to 31 , inclusive , is", + "Output Program": [ + "n0 = 23.0\nn1 = 31.0\nt0 = n0 + 2.0\nt1 = t0 + 2.0\nt2 = t0 + t1\nt3 = t1 + 2.0\nt4 = t2 + t3\nanswer = n1 + t4\nprint(answer)" + ], + "Output Answer": [ + "112" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 80 meters or 8 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 80.0\nn1 = 8.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "92" + ], + "split": "train" + }, + { + "Input": "a policeman noticed a criminal from a distance of 240 km . the criminal starts running and the policeman chases him . the criminal and the policeman run at the rate of 8 km and 9 km per hour respectively . what is the distance between them after 3 minutes ?", + "Output Program": [ + "n0 = 240.0\nn1 = 8.0\nn2 = 9.0\nn3 = 3.0\nt0 = n3 / 60.0\nt1 = t0 * 1000.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "190" + ], + "split": "train" + }, + { + "Input": "24 men can complete a work in 16 days . 32 women can complete the same work in 24 days . 16 men and 16 women started working and worked for 12 days . how many more men are to be added to complete the remaining work in 2 days ?", + "Output Program": [ + "n0 = 24.0\nn1 = 16.0\nn2 = 32.0\nn3 = 24.0\nn4 = 16.0\nn5 = 16.0\nn6 = 12.0\nn7 = 2.0\nt0 = n0 * n7\nanswer = t0 - n0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a group of men decided to do a work in 50 days , but 10 of them became absent . if the rest of the group did the work in 60 days , find the original number of men ?", + "Output Program": [ + "n0 = 50.0\nn1 = 10.0\nn2 = 60.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a woman swims downstream 54 km and upstream 6 km taking 6 hours each time , what is the speed of the woman in still water ?", + "Output Program": [ + "n0 = 54.0\nn1 = 6.0\nn2 = 6.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 km / hr and crosses a 260 m long platform in 26 sec . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 260.0\nn2 = 26.0\nt0 = n0 / 3600.0\nt1 = t0 * 1000.0\nt2 = n2 * t1\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "260" + ], + "split": "train" + }, + { + "Input": "the area of sector of a circle whose radius is 12 metre and whose angle at the center is 42 \u00b0 is ?", + "Output Program": [ + "n0 = 12.0\nn1 = 42.0\nt0 = 3.0 + 4.0\nt1 = 3600.0 / 10.0\nt2 = 10.0 * 2.0\nt3 = n0**min(2.0, 5)\nt4 = t2 + 2.0\nt5 = n1 / t1\nt6 = t4 / t0\nt7 = t6 * t3\nanswer = t5 * t7\nprint(answer)" + ], + "Output Answer": [ + "52.8" + ], + "split": "train" + }, + { + "Input": "in a race of 1000 meters , a can beat b by 100 meters , in a race of 800 meters , b can beat c by 100 meters . by how many meters will a beat c in a race of 600 meters ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 100.0\nn2 = 800.0\nn3 = 100.0\nn4 = 600.0\nt0 = n0 - n1\nt1 = n2 - n1\nt2 = t0 * t1\nt3 = t2 / n2\nt4 = n0 - t3\nt5 = n4 * t4\nanswer = t5 / n0\nprint(answer)" + ], + "Output Answer": [ + "127.5" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is travelling at 50 kmph observes that a goods train , travelling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed .", + "Output Program": [ + "n0 = 50.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "train" + }, + { + "Input": "a can do a work in 15 days and b in 20 days . if they work on it together then in how many days required to complete the work ?", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "8.571428571428571" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 90 km in the first hour and 50 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 90.0\nn1 = 50.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "an engineer undertakes a project to build a road 15 km long in 300 days and employs 35 men for the purpose . after 100 days , he finds only 2.5 km of the road has been completed . find the ( approximate ) number of extra men he must employ to finish the work in time .", + "Output Program": [ + "n0 = 15.0\nn1 = 300.0\nn2 = 35.0\nn3 = 100.0\nn4 = 2.5\nt0 = n0 - n4\nt1 = n1 - n3\nt2 = n2 * t0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t4 / t3\nanswer = t5 - n2\nprint(answer)" + ], + "Output Answer": [ + "52.5" + ], + "split": "train" + }, + { + "Input": "if the lcm and hcf of 12 and another number is 60 and 3 respectively . find the other number ?", + "Output Program": [ + "n0 = 12.0\nn1 = 60.0\nn2 = 3.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 18 kmph . what is the speed of the stream if the boat can cover 48 km downstream or 32 km upstream in the same time ?", + "Output Program": [ + "n0 = 18.0\nn1 = 48.0\nn2 = 32.0\nt0 = 1.0 + 2.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "n people were sitting on a circular manner , if each of two present in the party except the pairs were adjacent sang a song , if a song lasted for 2 mins and 28 minutes was taken for singing song , find n", + "Output Program": [ + "n0 = 2.0\nn1 = 28.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "one hour after yolanda started walking from x to y , a distance of 10 miles , bob started walking along the same road from y to x . if yolanda ' s walking rate was 3 miles per hour and bob \u0442 ' s was 4 miles per hour , how many miles had bob walked when they met ?", + "Output Program": [ + "n0 = 10.0\nn1 = 3.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = n0 - n1\nt2 = t1 / t0\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a vantakes 6 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 540.0\nn2 = 3.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 4 days . b can do it in 9 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 9.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = n2 * t3\nt5 = t0 - t4\nt6 = t5 / n2\nanswer = t0 / t6\nprint(answer)" + ], + "Output Answer": [ + "7.2" + ], + "split": "train" + }, + { + "Input": "x can do a piece of work in 40 days . he works at it for 8 days and then y finished it in 16 days . how long will y take to complete the work ?", + "Output Program": [ + "n0 = 40.0\nn1 = 8.0\nn2 = 16.0\nt0 = n1 / n0\nt1 = 1.0 - t0\nt2 = 1 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "10 men do a work in 10 days . how many men are needed to finish the work in 4 days ?", + "Output Program": [ + "n0 = 10.0\nn1 = 10.0\nn2 = 4.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a trader sells 80 meters of cloth for rs . 6900 at the profit of rs . 20 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 80.0\nn1 = 6900.0\nn2 = 20.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "66.25" + ], + "split": "train" + }, + { + "Input": "the speed of the boat in still water in 12 kmph . it can travel downstream through 42 kms in 3 hrs . in what time would it cover the same distance upstream ?", + "Output Program": [ + "n0 = 12.0\nn1 = 42.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = t0 - n0\nt2 = n0 - t1\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.2" + ], + "split": "train" + }, + { + "Input": "the perimeter of a semi circle is 144 cm then the radius is ?", + "Output Program": [ + "n0 = 144.0\nt0 = 2.0 + 3.141592653589793\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "28.006886134680677" + ], + "split": "train" + }, + { + "Input": "a train crosses a platform of 100 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ?", + "Output Program": [ + "n0 = 100.0\nn1 = 15.0\nn2 = 250.0\nn3 = 20.0\nt0 = n1 / 3.0\nt1 = n1 / t0\nt2 = n3 / t0\nt3 = n2 * t1\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "a group of workers had agreed on a very strange payment schedule . each of them would get $ 100 for every day that they had worked , but for every day they did not work will have to return $ 25 . after 30 days they realised they did not earn any money . how many days the workers did not work ?", + "Output Program": [ + "n0 = 100.0\nn1 = 25.0\nn2 = 30.0\nt0 = n0 + n1\nt1 = n1 * n2\nt2 = t1 / t0\nanswer = n2 - t2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a pump can fill a tank with a water in 2 hours . because of a leak , it took 2 x 1 / 3 hours to fill the tank . the leak can drain all the water of the tank in", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 1.0\nn3 = 3.0\nt0 = 1.0 / n0\nt1 = n2 / n3\nt2 = n0 + t1\nt3 = 1.0 / t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "13.999999999999995" + ], + "split": "train" + }, + { + "Input": "johnny travels a total of one hour to and from school . on the way there he jogs at 5 miles per hour and on the return trip he gets picked up by the bus and returns home at 25 miles per hour . how far is it to the school ?", + "Output Program": [ + "n0 = 5.0\nn1 = 25.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1.0 / t2\nanswer = t3 * 1.6\nprint(answer)" + ], + "Output Answer": [ + "6.666666666666666" + ], + "split": "train" + }, + { + "Input": "an woman sitting in a train which is travelling at 20 kmph observes that a goods train travelling in a opposite direction , takes 15 seconds to pass him . if the goods train is 300 m long , find its speed .", + "Output Program": [ + "n0 = 20.0\nn1 = 15.0\nn2 = 300.0\nt0 = n2 / n1\nt1 = t0 / 0.2778\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "51.99424046076314" + ], + "split": "train" + }, + { + "Input": "on a scale of map , 0.4 cm represents 5.3 km . if the distance between the points on the map is 64 cm , the actual distance between these points is :", + "Output Program": [ + "n0 = 0.4\nn1 = 5.3\nn2 = 64.0\nt0 = n1 / n0\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "847.9999999999999" + ], + "split": "train" + }, + { + "Input": "what is the maximum number of pieces of birthday cake of size 5 \u201d by 5 \u201d that can be cut from a cake 15 \u201d by 15 \u201d ?", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 15.0\nn3 = 15.0\nt0 = n2 * n2\nt1 = n0 * n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "in what time will a train 100 meters long cross an electric pole , if its speed is 144 km / hr", + "Output Program": [ + "n0 = 100.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.49980001599872" + ], + "split": "train" + }, + { + "Input": "in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 34 days for the patch to cover the entire lake , how many days would it take the patch to cover half of the lake ?", + "Output Program": [ + "n0 = 34.0\n\nanswer = n0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "train" + }, + { + "Input": "how long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 850 meters in length ?", + "Output Program": [ + "n0 = 165.0\nn1 = 54.0\nn2 = 850.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "67.66125376636536" + ], + "split": "train" + }, + { + "Input": "how many bricks , each measuring 80 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8 m x 6 m x 22.5 cm ?", + "Output Program": [ + "n0 = 80.0\nn1 = 11.25\nn2 = 6.0\nn3 = 8.0\nn4 = 6.0\nn5 = 22.5\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "2000" + ], + "split": "train" + }, + { + "Input": "a man goes downstream at 13 kmph , and upstream 8 kmph . the speed of the stream is", + "Output Program": [ + "n0 = 13.0\nn1 = 8.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "train" + }, + { + "Input": "a garrison of 150 men has provisions for 31 days . at the end of 16 days , a reinforcement arrives , and it is now found that the provisions will last only for 5 days more . what is the reinforcement ?", + "Output Program": [ + "n0 = 150.0\nn1 = 31.0\nn2 = 16.0\nn3 = 5.0\nt0 = n0 * n1\nt1 = n0 * n2\nt2 = t0 - t1\nt3 = t2 / n3\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "the lenght of a room is 5.5 m and width is 4 m . find the cost of paving the floor by slabs at the rate of rs . 800 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 4.0\nn2 = 800.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "17600" + ], + "split": "train" + }, + { + "Input": "in a dairy farm , 45 cows eat 45 bags of husk in 45 days . in how many days one cow will eat one bag of husk ?", + "Output Program": [ + "n0 = 45.0\nn1 = 45.0\nn2 = 45.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "how many pieces of 85 cm length can be cut from a rod of 17 meters long ?", + "Output Program": [ + "n0 = 85.0\nn1 = 17.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "while working alone at their constant rates , computer x can process 240 files in 8 hours , and computer y can process 240 files in 6 hours . if all files processed by these computers are the same size , how many hours would it take the two computers , working at the same time at their respective constant rates , to process a total of 240 files ?", + "Output Program": [ + "n0 = 240.0\nn1 = 8.0\nn2 = 240.0\nn3 = 6.0\nn4 = 240.0\nt0 = n0 / n1\nt1 = n0 / n3\nt2 = t0 + t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.4285714285714284" + ], + "split": "train" + }, + { + "Input": "two tains of equal lengths take 10 seconds and 20 seconds respectively to cross a telegraph post . if the length of each train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 120.0\nt0 = n2 + n2\nt1 = n2 / n1\nt2 = n2 / n0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "13.333333333333334" + ], + "split": "train" + }, + { + "Input": "the speed of a train including stoppages is 90 kmph and excluding stoppages is 120 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 90.0\nn1 = 120.0\nt0 = n1 - n0\nt1 = t0 / n1\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a certain industrial loom weaves 0.128 meters of cloth every second . approximately how many seconds will it take for the loom to weave 15 meters of cloth ?", + "Output Program": [ + "n0 = 0.128\nn1 = 15.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "117.1875" + ], + "split": "train" + }, + { + "Input": "a 300 meter long train crosses a platform in 27 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 27.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "150.00000000000006" + ], + "split": "train" + }, + { + "Input": "if a can do a work in 10 days and a and b can do a same piece of job in 5 days . in how days can do a work b alone ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "pipe a and pipe b fill water into a tank of capacity 1000 litres , at a rate of 200 l / min and 50 l / min . pipe c drains at a rate of 25 l / min . pipe a is open for 1 min and closed , then pipe b is open for 2 min and closed . further the pipe c is opened and drained for another 2 min . this process is repeated until the tank is filled . how long will it take to fill the tank ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 200.0\nn2 = 50.0\nn3 = 25.0\nn4 = 1.0\nn5 = 2.0\nn6 = 2.0\nt0 = n4 + n5\nt1 = n2 * n5\nt2 = n3 * n5\nt3 = n5 + t0\nt4 = n1 + t1\nt5 = t4 - t2\nt6 = n0 / t5\nanswer = t3 * t6\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a car traveled 480 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 6 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?", + "Output Program": [ + "n0 = 480.0\nn1 = 336.0\nn2 = 6.0\nt0 = n0 - n1\nt1 = t0 / n2\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "in an examination , a student scores 3 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 120 questions and secures 180 marks , the number of questions he attempts correctly , is :", + "Output Program": [ + "n0 = 3.0\nn1 = 1.0\nn2 = 120.0\nn3 = 180.0\nt0 = n2 + n3\nt1 = n0 + n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "a train 240 m long , running with a speed of 108 km / hr will pass a tree in ?", + "Output Program": [ + "n0 = 240.0\nn1 = 108.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "length of a rectangular plot is 40 mtr more than its breadth . if the cost of fencin g the plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 40.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "at a loading dock , each worker on the night crew loaded 1 / 2 as many boxes as each worker on the day crew . if the night crew has 4 / 5 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 4.0\nn3 = 5.0\nt0 = n1 * n3\nt1 = n0 * n2\nt2 = t0 + t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.7142857142857143" + ], + "split": "train" + }, + { + "Input": "a 180 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", + "Output Program": [ + "n0 = 180.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "320.03999999999996" + ], + "split": "train" + }, + { + "Input": "if the wheel is 42 cm then the number of revolutions to cover a distance of 1056 cm is ?", + "Output Program": [ + "n0 = 42.0\nn1 = 1056.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "4.003639672429482" + ], + "split": "train" + }, + { + "Input": "a man can do a piece of work in 6 days , but with the help of his son , he can finish it in 3 days . in what time can the son do it alone ?", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a can do a work in 4 days . b can do the same work in 12 days . if both a & b are working together in how many days they will finish the work ?", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a courtyard is 28 meter long and 13 meter board is to be paved with bricks of dimensions 22 cm by 12 cm . the total number of bricks required is :", + "Output Program": [ + "n0 = 28.0\nn1 = 13.0\nn2 = 22.0\nn3 = 12.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n2 * n3\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "13787.878787878788" + ], + "split": "train" + }, + { + "Input": "working at constant rate , pump x pumped out half of the water in a flooded basement in 2 hours . the pump y was started and the two pumps , working independently at their respective constant rates , pumped out rest of the water in 3 hours . how many hours would it have taken pump y , operating alone at its own constant rate , to pump out all of the water that was pumped out of the basement ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nt0 = 2.0 + 3.0\nt1 = t0 + 1.0\nt2 = t1 + 1.0\nt3 = t2 + 1.0\nt4 = t3 + 1.0\nt5 = t4 + 1.0\nt6 = t5 + 2.0\nt7 = t6 + 1.0\nt8 = t7 + 1.0\nt9 = t8 + 1.0\nt10 = t9 + 1.0\nt11 = t10 + 1.0\nanswer = t11 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "ajay can walk 3 km in 1 hour . in how many hours he can walk 50 km ?", + "Output Program": [ + "n0 = 3.0\nn1 = 1.0\nn2 = 50.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "16.666666666666668" + ], + "split": "train" + }, + { + "Input": "a circular road runs round a circular ground . if the difference between the circumferences of the outer circle and inner circle is 66 metres , the width of the road is :", + "Output Program": [ + "n0 = 66.0\nt0 = 2.0 * 3.141592653589793\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "10.504226244065093" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of the bus is 54 kms / hr and with stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 54.0\nn1 = 45.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is travelling at 50 kmph observes that a goods train travelling in a opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed .", + "Output Program": [ + "n0 = 50.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "train" + }, + { + "Input": "a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route . they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up , but the time each route will take is the same . if they will go up the mountain at a rate of 4 miles per day and it will take them two days , how many miles long is the route down the mountain ?", + "Output Program": [ + "n0 = 4.0\nt0 = 3.0 / 2.0\nt1 = n0 * 2.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "two trains start from same place at same time at right angles to each other . their speeds are 36 km / hr and 48 km / hr respectively . after 30 seconds the distance between them will be ?", + "Output Program": [ + "import math\nn0 = 36.0\nn1 = 48.0\nn2 = 30.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = t0 * 0.2778\nt3 = t1 * 0.2778\nt4 = t2**min(2.0, 5)\nt5 = t3**min(2.0, 5)\nt6 = t4 + t5\nanswer = math.sqrt(max(0, t6))\nprint(answer)" + ], + "Output Answer": [ + "500.03999999999996" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 400 resolutions .", + "Output Program": [ + "n0 = 22.4\nn1 = 400.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "563.1999999999999" + ], + "split": "train" + }, + { + "Input": "in a survey of 350 employees , 104 of them are uninsured , 54 work part time , and 12.5 percent of employees who are uninsured work part time . if a person is to be randomly selected from those surveyed , what is the probability that the person will neither work part time nor be uninsured ?", + "Output Program": [ + "n0 = 350.0\nn1 = 104.0\nn2 = 54.0\nn3 = 12.5\nt0 = n1 * n3\nt1 = 1.0 * 100.0\nt2 = t0 / t1\nt3 = n2 - t2\nt4 = n1 + t3\nt5 = n0 - t4\nanswer = t5 / n0\nprint(answer)" + ], + "Output Answer": [ + "0.5857142857142857" + ], + "split": "train" + }, + { + "Input": "worker a takes 12 hours to do a job . worker b takes 15 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?", + "Output Program": [ + "n0 = 12.0\nn1 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.666666666666667" + ], + "split": "train" + }, + { + "Input": "jamal had a bag of marbles . he had 12 yellow , 10 blue , 5 green and 1 black marbles . he decided to randomly select a ball from the bag . what is the proabilitly that he will draw a black marble ?", + "Output Program": [ + "n0 = 280.0\nn1 = 254.0\nn2 = 280.0\nn3 = 97.0\nn4 = 138.0\nn5 = 152.0\nn6 = 73.0\nn7 = 3.0\nt0 = n0 + n1\nt1 = n0 + t0\nt2 = t1 - n3\nt3 = t2 - n4\nt4 = t3 - n5\nanswer = n6 + t4\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "two trains of length 90 m and 100 m are 200 m apart . they start moving towards each other on parallel tracks , at speeds 71 kmph and 89 kmph . after how much time will the trains meet ?", + "Output Program": [ + "n0 = 90.0\nn1 = 100.0\nn2 = 200.0\nn3 = 71.0\nn4 = 89.0\nt0 = n3 + n4\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "4.499640028797696" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 650 resolutions ?", + "Output Program": [ + "n0 = 22.4\nn1 = 650.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "915.1999999999998" + ], + "split": "train" + }, + { + "Input": "a can run 2 km distance in 2 min . , while b can run this distance in 2 min 40 sec . by how much distance can a beat b ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 2.0\nn3 = 40.0\nt0 = n0 * 60.0\nt1 = n0 * 1000.0\nt2 = n3 + t0\nt3 = t1 / t0\nt4 = t1 / t2\nt5 = t3 - t4\nanswer = t0 * t5\nprint(answer)" + ], + "Output Answer": [ + "500.0000000000001" + ], + "split": "train" + }, + { + "Input": "there are 13 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?", + "Output Program": [ + "n0 = 13.0\nt0 = n0 + 1.0\nt1 = t0 + 1.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "210" + ], + "split": "train" + }, + { + "Input": "a boat moves upstream at the rate of 1 km in 30 minutes and down stream 1 km in 12 minutes . then the speed of the current is :", + "Output Program": [ + "n0 = 1.0\nn1 = 30.0\nn2 = 1.0\nn3 = 12.0\nt0 = n0 / n3\nt1 = n0 / n1\nt2 = t0 * 60.0\nt3 = t1 * 60.0\nt4 = t2 - t3\nanswer = t4 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "train" + }, + { + "Input": "if five machines working at the same rate can do 3 / 4 of a job in 30 minutes , how many minutes would it take two machines working at the same rate to do 3 / 5 of the job ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 30.0\nn3 = 3.0\nn4 = 5.0\nt0 = n0 / n4\nt1 = n0 / n1\nt2 = t1 / n4\nt3 = t2 / n2\nt4 = t3 * 2.0\nanswer = t0 / t4\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "the length of a room is 6 m and width is 4.75 m . what is the cost of paying the floor by slabs at the rate of rs . 900 per sq . metre .", + "Output Program": [ + "n0 = 6.0\nn1 = 4.75\nn2 = 900.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "25650" + ], + "split": "train" + }, + { + "Input": "a man drive his car to the office at 20 miles / hr . after reaching office , he realize that its a new year holiday so he went back home at a speed of 30 miles / hr . discounting the time spent in the stoppage what was his average speed of his journey ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nanswer = t1 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a train passes a train standing in platform in 30 sec and a man standing on the platform in 12 sec . if the speed of the train is 36 km / hr . what is the length of the platform ?", + "Output Program": [ + "n0 = 30.0\nn1 = 12.0\nn2 = 36.0\nt0 = n2 * 1000.0\nt1 = t0 / 3600.0\nt2 = n0 * t1\nt3 = n1 * t1\nanswer = t2 - t3\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 12 hours . due to a leak at the bottom it takes 20 hours to fill the tank . in what time the leak alone can empty the full tank ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "11 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be :", + "Output Program": [ + "n0 = 11.0\nn1 = 1.0\nt0 = n1 / 2.0\nt1 = t0**min(2.0, 5)\nt2 = t1 * 3.141592653589793\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "14.00563499208679" + ], + "split": "train" + }, + { + "Input": "the average speed of a car decreased by 3 miles per hour every successive 8 - minutes interval . if the car traveled 3.6 miles in the fifth 8 - minute interval , what was the average speed of the car , in miles per hour , in the first 8 minute interval ?", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 3.6\nn3 = 8.0\nn4 = 8.0\nt0 = n1 / 60.0\nt1 = n2 / t0\nt2 = n0 + t1\nt3 = n0 + t2\nt4 = n0 + t3\nanswer = n0 + t4\nprint(answer)" + ], + "Output Answer": [ + "39" + ], + "split": "train" + }, + { + "Input": "if 15 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days ?", + "Output Program": [ + "n0 = 15.0\nn1 = 80.0\nn2 = 24.0\nn3 = 36.0\nn4 = 30.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t1 / n1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "tom drives from town a to town b , driving at a constant speed of 60 miles per hour . from town b tom immediately continues to town c . the distance between a and b is twice the distance between b and c . if the average speed of the whole journey was 36 mph , then what is tom ' s speed driving from b to c in miles per hour ?", + "Output Program": [ + "n0 = 60.0\nn1 = 36.0\nt0 = 3.0 / n1\nt1 = 2.0 / n0\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two trains a and b are 225 m and 150 m long and are moving at one another at 54 km / hr and 36 km / hr respectively . arun is sitting on coach b 1 of train a . calculate the time taken by arun to completely cross train b .", + "Output Program": [ + "n0 = 225.0\nn1 = 150.0\nn2 = 54.0\nn3 = 36.0\nn4 = 1.0\nt0 = n0 + n1\nt1 = n2 * 1000.0\nt2 = n3 * 1000.0\nt3 = t1 / 3600.0\nt4 = t2 / 3600.0\nt5 = t3 + t4\nanswer = t0 / t5\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "one hour after yolanda started walking from x to y , a distance of 80 miles , bob started walking along the same road from y to x . if yolanda \u00e2 s walking rate was 8 miles per hour and bob \u00e2 s was 9 miles per hour , how many miles had bob walked when they met ?", + "Output Program": [ + "n0 = 80.0\nn1 = 8.0\nn2 = 9.0\nt0 = n1 + n2\nt1 = n0 - n1\nt2 = t1 / t0\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "38.11764705882353" + ], + "split": "train" + }, + { + "Input": "if 5 machines can produce 20 units in 10 hours , how long would it take 20 machines to produce 180 units ?", + "Output Program": [ + "n0 = 5.0\nn1 = 20.0\nn2 = 10.0\nn3 = 20.0\nn4 = 180.0\nt0 = n1 / n2\nt1 = t0 / n0\nt2 = n1 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "22.5" + ], + "split": "train" + }, + { + "Input": "a worker ' s daily wage is increased by 50 % and the new wage is $ 51 per day . what was the worker ' s daily wage before the increase ?", + "Output Program": [ + "n0 = 50.0\nn1 = 51.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "34" + ], + "split": "train" + }, + { + "Input": "if 12 men or 20 women can do a piece of work in 54 days , then in how many days can 9 men and 21 women together do the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\nn2 = 54.0\nn3 = 9.0\nn4 = 21.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = n3 / t0\nt3 = n4 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "the speed at which a girl can row a boat in still water is 90 kmph . if she rows downstream , where the speed of current is 18 kmph , what time will he take to cover 330 metres ?", + "Output Program": [ + "n0 = 90.0\nn1 = 18.0\nn2 = 330.0\nt0 = n0 + n1\nt1 = n2 * 3.6\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "one hour after matthew started waking from q to y , a distance of 45 km , johnny started walking along the same road from y to q . matthew ' s walking rate was 3 km per hour and johnny ' s was 4 km per hour , how many km had johnny walked when they met ?", + "Output Program": [ + "n0 = 45.0\nn1 = 3.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = n0 - n1\nt2 = t1 / t0\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "the food in a camp lasts for 40 men for 45 days . if fifteen more men join , how many days will the food last ?", + "Output Program": [ + "n0 = 40.0\nn1 = 45.0\nt0 = 12.0 + 3.0\nt1 = n0 * n1\nt2 = n0 + t0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "32.72727272727273" + ], + "split": "train" + }, + { + "Input": "a certain car can travel 72 kilometers on a liter of fuel . if the fuel tank \u2019 s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed , how fast is the car moving , in miles per hour ? ( 1 gallon = 3.8 liters ; 1 mile = 1.6 kilometers )", + "Output Program": [ + "n0 = 72.0\nn1 = 3.9\nn2 = 5.7\nn3 = 1.0\nn4 = 3.8\nn5 = 1.0\nn6 = 1.6\nt0 = n0 * n4\nt1 = t0 / n6\nt2 = n1 * t1\nanswer = t2 / n2\nprint(answer)" + ], + "Output Answer": [ + "116.99999999999997" + ], + "split": "train" + }, + { + "Input": "a tank is 25 m long , 12 m wide and 6 m deep . the cost of plastering its walls and bottom at 75 paise per sq . m , is :", + "Output Program": [ + "n0 = 25.0\nn1 = 12.0\nn2 = 6.0\nn3 = 75.0\nt0 = n0 + n1\nt1 = n3 / 100.0\nt2 = n0 * n1\nt3 = t0 * 2.0\nt4 = n2 * t3\nt5 = t4 + t2\nanswer = t5 * t1\nprint(answer)" + ], + "Output Answer": [ + "558" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of $ 800 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 800.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "16500" + ], + "split": "train" + }, + { + "Input": "while driving from a - ville to b - town , harriet drove at a constant speed of 105 kilometers per hour . upon arriving in b - town , harriet immediately turned and drove back to a - ville at a constant speed of 145 kilometers per hour . if the entire trip took 5 hours , how many minutes did it take harriet to drive from a - ville to b - town ?", + "Output Program": [ + "n0 = 105.0\nn1 = 145.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = n0 * n2\nt2 = t1 / t0\nt3 = n2 - t2\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "174" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 16 km and upstream 10 km taking 2 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 16.0\nn1 = 10.0\nn2 = 2.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "6.5" + ], + "split": "train" + }, + { + "Input": "a toy train produces at least 10 different tunes when it moves around a circular toy track of radius 5 meters , at 10 meters per minute . however , the toy train is defective and it now produces only two different tunes at random . what is the probability that the toy train produces 3 music tunes of the same type ( 1 in _____ ) ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nn2 = 10.0\nn3 = 3.0\nn4 = 1.0\nt0 = n4 / 2.0\nt1 = t0**min(n3, 5)\nt2 = t1 * 2.0\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "there is enough provisions for 100 girls in a hostel for 50 days . if there were 20 men less , how long will the provision last ?", + "Output Program": [ + "n0 = 100.0\nn1 = 50.0\nn2 = 20.0\nt0 = n0 * n2\nt1 = t0 / 10.0\nanswer = n1 + t1\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "train" + }, + { + "Input": "let a be the event that a randomly selected two digit number is divisible by 10 and let b be the event that a randomly selected two digit number is divisible by 5 . what is p ( a and b ) ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nt0 = n0 - 1.0\nt1 = n0 * t0\nt2 = t0 * 2.0\nt3 = t0 / t1\nt4 = t2 / t1\nanswer = t3 * t4\nprint(answer)" + ], + "Output Answer": [ + "0.020000000000000004" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 142 m length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 72.0\nn2 = 142.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12.598992080633549" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 16 meters or 10 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 16.0\nn1 = 10.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "615" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 9 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 3.0\nn1 = 9.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "a river 8 m deep and 25 m wide is flowing at the rate of 8 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 8.0\nn1 = 25.0\nn2 = 8.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "26666.666666666668" + ], + "split": "train" + }, + { + "Input": "speed of a boat in standing water is 9 kmph and the speed of the stream is 1.5 kmph . a man rows to place at a distance of 210 km and comes back to the starting point . the total time taken by him is :", + "Output Program": [ + "n0 = 9.0\nn1 = 1.5\nn2 = 210.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 180 km / hr crosses a pole in 9 seconds . find the length of the train .", + "Output Program": [ + "n0 = 180.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "450" + ], + "split": "train" + }, + { + "Input": "the speed of a subway train is represented by the equation z = s ^ 2 + 2 s for all situations where 0 \u2264 s \u2264 7 , where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving . in kilometers per hour , how much faster is the subway train moving after 5 seconds than it was moving after 3 seconds ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 0.0\nn3 = 7.0\nn4 = 5.0\nn5 = 3.0\nt0 = n0 * n4\nt1 = n0 * n5\nt2 = n4**min(n0, 5)\nt3 = n5**min(n0, 5)\nt4 = t0 + t2\nt5 = t1 + t3\nanswer = t4 - t5\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 20 seconds . what is the length of the platform in meters ?", + "Output Program": [ + "n0 = 72.0\nn1 = 30.0\nn2 = 20.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nt2 = n1 * t1\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "a and b walk around a circular track . they start at 9 a . m . from the same point in the opposite directions . a and b walk at a speed of 2 rounds per hour and 3 rounds per hour respectively . how many times shall they cross each other before 10 : 00 a . m . ?", + "Output Program": [ + "n0 = 9.0\nn1 = 2.0\nn2 = 3.0\nn3 = 10.0\nn4 = 0.0\nt0 = n1 + n2\nanswer = t0 + t0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "by travelling at 50 kmph , a person reaches his destination on time . he covered two - third the total distance in one - third of the total time . what speed should he maintain for the remaining distance to reach his destination on time ?", + "Output Program": [ + "n0 = 50.0\nt0 = n0 * 3.0\nt1 = 3.0 - 1.0\nt2 = t0 * 2.0\nt3 = t2 / 3.0\nt4 = t0 - t3\nanswer = t4 / t1\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a passenger train takes two hours less for a journey of 300 km if its speed is increased by 5 kmph from its normal speed . the normal speed is", + "Output Program": [ + "n0 = 300.0\nn1 = 5.0\n\nanswer = n1 * n1\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train catches and completely passes the slower train in 54 seconds . what is the length of each train ( in meters ) ?", + "Output Program": [ + "n0 = 46.0\nn1 = 36.0\nn2 = 54.0\nt0 = n0 - n1\nt1 = t0 * 1000.0\nt2 = t1 / 3600.0\nt3 = n2 * t2\nanswer = t3 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 24 cm and 18 cm long , and the distance between them is 15 cm .", + "Output Program": [ + "n0 = 24.0\nn1 = 18.0\nn2 = 15.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "315" + ], + "split": "train" + }, + { + "Input": "working alone , pump a can empty a pool in 6 hours . working alone , pump b can empty the same pool in 9 hours . working together , how many minutes will it take pump a and pump b to empty the pool ?", + "Output Program": [ + "n0 = 6.0\nn1 = 9.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1 / t2\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "215.99999999999997" + ], + "split": "train" + }, + { + "Input": "annika hikes at a constant rate of 10 minutes per kilometer . she has hiked 2.5 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 45 minutes . if annika continues east , then turns around and retraces her path to reach the start of the trail in exactly 45 minutes , for how many kilometers total did she hike east ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.5\nn2 = 45.0\nn3 = 45.0\nt0 = n2 / n0\nt1 = t0 - n1\nt2 = t1 / 2.0\nanswer = n1 + t2\nprint(answer)" + ], + "Output Answer": [ + "3.5" + ], + "split": "train" + }, + { + "Input": "two men are walking towards each other alongside a railway track . a freight train overtakes one of them in 20 seconds and exactly 10 minutes later meets the other man coming from the opposite direction . the train passes this man is 18 seconds . assume the velocities are constant throughout . how long after the train has passed the second man will the two men meet ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 18.0\nt0 = n2 / 2.0\nt1 = 10.0 * 60.0\nt2 = t0 * t1\nanswer = t2 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a can do a particular work in 6 days . b can do the same work in 8 days . a and b signed to do it for rs . 3520 . they completed the work in 3 days with the help of c . how much is to be paid to c ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 3520.0\nn3 = 3.0\nt0 = 1.0 / n3\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = t1 + t2\nt4 = t0 - t3\nt5 = n3 * t4\nanswer = n2 * t5\nprint(answer)" + ], + "Output Answer": [ + "440.00000000000017" + ], + "split": "train" + }, + { + "Input": "a is half good a work man as b and together they finish a job in 15 days . in how many days working alone b finish the job ?", + "Output Program": [ + "n0 = 15.0\nt0 = 3.0 / 2.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "22.5" + ], + "split": "train" + }, + { + "Input": "beginning in town a , biker bob rides his bike 20 miles west , 6 miles north , 10 miles east , and then 18 miles north , to town b . how far apart are town a and town b ? ( ignore the curvature of the earth . )", + "Output Program": [ + "import math\nn0 = 20.0\nn1 = 6.0\nn2 = 10.0\nn3 = 18.0\nt0 = n1 + n3\nt1 = n2**min(2.0, 5)\nt2 = t0**min(2.0, 5)\nt3 = t2 + t1\nanswer = math.sqrt(max(0, t3))\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 23 m * 2 m * 0.75 m ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 7.5\nn3 = 23.0\nn4 = 2.0\nn5 = 0.75\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n5 * 100.0\nt3 = t0 * t1\nt4 = t3 * t2\nt5 = t4 / n0\nt6 = t5 / n1\nanswer = t6 / n2\nprint(answer)" + ], + "Output Answer": [ + "23000" + ], + "split": "train" + }, + { + "Input": "the time it took car p to travel 300 miles was 2 hours less than the time it took car r to travel the same distance . if car p \u2019 s average speed was 10 miles per hour greater than that of car r , what was car r \u2019 s average speed , in miles per hour ?", + "Output Program": [ + "import math\nn0 = 300.0\nn1 = 2.0\nn2 = 10.0\nt0 = n0 * n2\nt1 = -n2\nt2 = t0 / n1\nt3 = t1**min(n1, 5)\nt4 = -t2\nt5 = t4 * 4.0\nt6 = t3 - t5\nt7 = math.sqrt(max(0, t6))\nt8 = t1 + t7\nanswer = t8 / n1\nprint(answer)" + ], + "Output Answer": [ + "34.05124837953327" + ], + "split": "train" + }, + { + "Input": "a boat having a length 7 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :", + "Output Program": [ + "n0 = 7.0\nn1 = 2.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "140" + ], + "split": "train" + }, + { + "Input": "a certain car can travel 64 kilometers on a liter of fuel . if the fuel tank \u2019 s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed , how fast is the car moving , in miles per hour ? ( 1 gallon = 3.8 liters ; 1 mile = 1.6 kilometers )", + "Output Program": [ + "n0 = 64.0\nn1 = 3.9\nn2 = 5.7\nn3 = 1.0\nn4 = 3.8\nn5 = 1.0\nn6 = 1.6\nt0 = n0 * n4\nt1 = t0 / n6\nt2 = n1 * t1\nanswer = t2 / n2\nprint(answer)" + ], + "Output Answer": [ + "103.99999999999997" + ], + "split": "train" + }, + { + "Input": "an outlet pipe empties a tank which is full in 10 hours . if the inlet pipe is kept open , which lets water in at the rate of 4 litres / min then outlet pipe would take 6 hours longer . find the capacity of the tank .", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nn2 = 6.0\nt0 = n0 + n2\nt1 = n1 * 60.0\nt2 = t0 * t1\nt3 = t2 / n2\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "6400" + ], + "split": "train" + }, + { + "Input": "p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 50 days to complete the same work . then q alone can do it in", + "Output Program": [ + "n0 = 10.0\nn1 = 50.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = t2 / 2.0\nt4 = t3 - t1\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "24.999999999999996" + ], + "split": "train" + }, + { + "Input": "two pipes can separately fill a tank in 20 and 30 hours respectively . both the pipes are opened to fill the tank but when the tank is full , a leak develops in the tank through which one - third of water supplied by both the pipes goes out . what is the total time taken to fill the tank ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nt3 = 1 / t2\nt4 = t3 / 3.0\nanswer = t4 + t3\nprint(answer)" + ], + "Output Answer": [ + "15.999999999999998" + ], + "split": "train" + }, + { + "Input": "the area of playground is 5900 sq . meters . what will be the cost of covering it with grass sheet 1 cm deep , if cost of grass sheet is $ 2.80 per cubic meter .", + "Output Program": [ + "n0 = 5900.0\nn1 = 1.0\nn2 = 2.8\nt0 = n1 / 100.0\nt1 = n0 * t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "165.2" + ], + "split": "train" + }, + { + "Input": "hcf and lcm two numbers are 12 and 396 respectively . if one of the numbers is 48 , then the other number is ?", + "Output Program": [ + "n0 = 12.0\nn1 = 396.0\nn2 = 48.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "99" + ], + "split": "train" + }, + { + "Input": "one drier dries certain quantity of material in 24 minutes . another drier does the same work in 2 minutes how much time will it take to do the same job when both driers are put to work ?", + "Output Program": [ + "n0 = 24.0\nn1 = 2.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "1.8461538461538463" + ], + "split": "train" + }, + { + "Input": "if the lcm and hcf of 8 and another number is 24 and 4 respectively . find the other number ?", + "Output Program": [ + "n0 = 8.0\nn1 = 24.0\nn2 = 4.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "find the area , diameter = 9 m .", + "Output Program": [ + "import math\nn0 = 9.0\nt0 = n0 / 2.0\nanswer = math.pi * t0**2\nprint(answer)" + ], + "Output Answer": [ + "63.61725123519331" + ], + "split": "train" + }, + { + "Input": "tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 11 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ?", + "Output Program": [ + "n0 = 1.0\nn1 = 11.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "cole drove from home to work at an average speed of 75 kmh . he then returned home at an average speed of 105 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ?", + "Output Program": [ + "n0 = 75.0\nn1 = 105.0\nn2 = 2.0\nt0 = n0 + n1\nt1 = n1 * n2\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "how many pieces of 85 cm length can be cut from a rod of 42.5 meters long ?", + "Output Program": [ + "n0 = 85.0\nn1 = 42.5\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 120 km in the first hour and 60 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 120.0\nn1 = 60.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "fred and sam are standing 50 miles apart and they start walking in a straight line toward each other at the same time . if fred walks at a constant speed of 5 miles per hour and sam walks at a constant speed of 5 miles per hour , how many miles has sam walked when they meet ?", + "Output Program": [ + "n0 = 50.0\nn1 = 5.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "31 of the scientists that attended a certain workshop were wolf prize laureates , and 12 of these 31 were also nobel prize laureates . of the scientists that attended that workshop and had not received the wolf prize , the number of scientists that had received the nobel prize was 3 greater than the number of scientists that had not received the nobel prize . if 50 of the scientists attended that workshop , how many of them were nobel prize laureates ?", + "Output Program": [ + "n0 = 31.0\nn1 = 12.0\nn2 = 31.0\nn3 = 3.0\nn4 = 50.0\nt0 = n4 - n0\nt1 = t0 - n3\nt2 = t1 / 2.0\nt3 = n3 + t2\nanswer = n1 + t3\nprint(answer)" + ], + "Output Answer": [ + "23" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 50 kmph and including stoppages , it is 43 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 50.0\nn1 = 43.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "8.4" + ], + "split": "train" + }, + { + "Input": "a contractor undertakes to do a job within 100 days and hires 10 people to do it . after 20 days , he realizes that one fourth of the work is done so he fires 2 people . in how many more days m will the work get over ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 20.0\nn3 = 2.0\nt0 = n1 * n2\nt1 = 1.0 - 0.25\nt2 = n1 - n3\nt3 = t0 / 0.25\nt4 = t3 * t1\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "a is half good a work man as b and together they finish a job in 12 days . in how many days working alone b finish the job ?", + "Output Program": [ + "n0 = 12.0\nt0 = 3.0 / 2.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 28 cm and 20 cm long , and the distance between them is 21 cm ?", + "Output Program": [ + "n0 = 28.0\nn1 = 20.0\nn2 = 21.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "504" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 22 cm and 18 cm long , and the distance between them is 15 cm .", + "Output Program": [ + "n0 = 22.0\nn1 = 18.0\nn2 = 15.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "18 men can complete a piece of work in 20 days . in how many days can 12 men complete that piece of work ?", + "Output Program": [ + "n0 = 18.0\nn1 = 20.0\nn2 = 12.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "two trains a and b starting from two points and travelling in opposite directions , reach their destinations 9 hours and 4 hours respectively after meeting each other . if the train a travels at 60 kmph , find the rate at which the train b runs .", + "Output Program": [ + "import math\nn0 = 9.0\nn1 = 4.0\nn2 = 60.0\nt0 = n0 / n1\nt1 = math.sqrt(max(0, t0))\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "10 men can complete a piece of work in 35 days . in how many days can 7 men complete that piece of work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 35.0\nn2 = 7.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "a train 320 m in length crosses a telegraph post in 16 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 320.0\nn1 = 16.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "an engineer undertakes a project to build a road 10 km long in 300 days and employs 30 men for the purpose . after 100 days , he finds only 2 km of the road has been completed . find the ( approximate ) number of extra men he must employ to finish the work in time .", + "Output Program": [ + "n0 = 10.0\nn1 = 300.0\nn2 = 30.0\nn3 = 100.0\nn4 = 2.0\nt0 = n0 - n4\nt1 = n1 - n3\nt2 = n2 * t0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t4 / t3\nanswer = t5 - n2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "jane makes toy bears . when she works with an assistant , she makes 80 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane \u2019 s output of toy bears per hour by what percent t ?", + "Output Program": [ + "n0 = 80.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = t0 - n1\nt2 = n1 / t1\nanswer = t2 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "if a boat is rowed downstream for 200 km in 10 hours and upstream for 96 km in 12 hours , what is the speed of the boat and the river ?", + "Output Program": [ + "n0 = 200.0\nn1 = 10.0\nn2 = 96.0\nn3 = 12.0\nt0 = n2 / n3\nt1 = n0 / n1\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "in what time will a car 10 m long moving at the rate of 36 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 10.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.9999200063994881" + ], + "split": "train" + }, + { + "Input": "a train 180 m long running at 70 kmph crosses a platform in 20 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 180.0\nn1 = 70.0\nn2 = 20.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "208.91999999999996" + ], + "split": "train" + }, + { + "Input": "two trucks each 250 m long are running in opposite directions on parallel paths . their speeds are 30 km / hr and 20 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?", + "Output Program": [ + "n0 = 250.0\nn1 = 30.0\nn2 = 20.0\nt0 = n1 + n2\nt1 = n0 * 2.0\nt2 = t0 * 0.2778\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "35.997120230381576" + ], + "split": "train" + }, + { + "Input": "it costs $ 6 for the first 1 / 4 hour to use the copier at kinkos . after the first \u00bc hour it costs $ 8 per hour . if a certain customer uses the copier for 4 hours and 25 minutes , how much will it cost him ?", + "Output Program": [ + "n0 = 6.0\nn1 = 1.0\nn2 = 4.0\nn3 = 8.0\nn4 = 4.0\nn5 = 25.0\nt0 = n3 + n5\nt1 = n0 + t0\nt2 = t0 / 100.0\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "39.33" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 54 meters or 12 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 54.0\nn1 = 12.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "210.22222222222223" + ], + "split": "train" + }, + { + "Input": "the distance from city a to city b is 220 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ?", + "Output Program": [ + "n0 = 220.0\nn1 = 40.0\nn2 = 30.0\nt0 = n0 / n1\nt1 = n2 / 60.0\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "if the wheel is 10 cm then the number of revolutions to cover a distance of 1200 cm is ?", + "Output Program": [ + "n0 = 10.0\nn1 = 1200.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "19.108280254777068" + ], + "split": "train" + }, + { + "Input": "two trains 50 m and 120 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 50.0\nn1 = 120.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.119510439164867" + ], + "split": "train" + }, + { + "Input": "a train requires 12 seconds to pass a pole while it requires 27 seconds to cross a stationary train which is 300 mtrs long . find the speed of the train .", + "Output Program": [ + "n0 = 12.0\nn1 = 27.0\nn2 = 300.0\nt0 = n1 - n0\nt1 = n2 / t0\nanswer = t1 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 30 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?", + "Output Program": [ + "n0 = 500.0\nn1 = 30.0\nn2 = 30.0\n\nanswer = n1 + n2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "two tains of equal lengths take 10 seconds and 16 seconds respectively to cross a telegraph post . if the length of each train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?", + "Output Program": [ + "n0 = 10.0\nn1 = 16.0\nn2 = 120.0\nt0 = n2 + n2\nt1 = n2 / n1\nt2 = n2 / n0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "12.307692307692308" + ], + "split": "train" + }, + { + "Input": "how many paying stones , each measuring 2 m * 1 m are required to pave a rectangular court yard 30 m long and 16 m board ?", + "Output Program": [ + "n0 = 2.0\nn1 = 1.0\nn2 = 30.0\nn3 = 16.0\nt0 = n2 * n3 # area of rectangle\nt1 = n0 * n1 # area of rectangle\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "if teena is driving at 55 miles per hour and is currently 7.5 miles behind roe , who is driving at 40 miles per hour in the same direction then in how many minutes will teena be 15 miles ahead of roe ?", + "Output Program": [ + "n0 = 55.0\nn1 = 7.5\nn2 = 40.0\nn3 = 15.0\nt0 = n0 - n2\nt1 = n1 + t0\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 13 cm .", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 13.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "247" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 145 m long and traveling at 45 km / hr can cross in 30 sec is ?", + "Output Program": [ + "n0 = 145.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "230" + ], + "split": "train" + }, + { + "Input": "a train traveling at 72 kmph crosses a platform in 32 seconds and a man standing on the platform in 18 seconds . what is the length of the platform in meters ?", + "Output Program": [ + "n0 = 72.0\nn1 = 32.0\nn2 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nt2 = n1 * t1\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" + ], + "Output Answer": [ + "280" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 36 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 250.0\nn2 = 36.0\nt0 = n0 * 0.2778\nt1 = n1 / t0\nt2 = n2 - t1\nanswer = t0 * t2\nprint(answer)" + ], + "Output Answer": [ + "470.05760000000004" + ], + "split": "train" + }, + { + "Input": "45 workers work 8 hours to dig a hole 30 meters deep . how many extra workers should be hired to dig another hole 45 meters deep by working for 6 hours ?", + "Output Program": [ + "n0 = 45.0\nn1 = 8.0\nn2 = 30.0\nn3 = 45.0\nn4 = 6.0\nt0 = n3 / n2\nt1 = n1 / n4\nt2 = n0 * t1\nt3 = t0 * t2\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 4 men and 5 women will do that task .", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 6.0\nn3 = 2.0\nn4 = 4.0\nn5 = 5.0\nt0 = n1 - n3\nt1 = n2 - n0\nt2 = t0 / t1\nt3 = n4 * t2\nt4 = n2 * t2\nt5 = n5 + t3\nt6 = n3 + t4\nanswer = t5 / t6\nprint(answer)" + ], + "Output Answer": [ + "0.9285714285714286" + ], + "split": "train" + }, + { + "Input": "a flagpole 18 meters high casts a shadow of length 45 meters . if a building under similar conditions casts a shadow of length 70 meters , what is the height of the building ( in meters ) ?", + "Output Program": [ + "n0 = 18.0\nn1 = 45.0\nn2 = 70.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "a tank is filled by 3 pipes a , b , c in 5 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?", + "Output Program": [ + "n0 = 3.0\nn1 = 5.0\nt0 = 2.0 * 2.0\nt1 = t0 + 2.0\nt2 = t1 + 1.0\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "if 12 men and 16 boys can do a piece of work in 5 days ; 13 men and 24 boys can do it in 4 days , then the ratio of the daily work done by a man to that of a boy is ?", + "Output Program": [ + "n0 = 12.0\nn1 = 16.0\nn2 = 5.0\nn3 = 13.0\nn4 = 24.0\nn5 = 4.0\nt0 = n4 * n5\nt1 = n1 * n2\nt2 = n0 * n2\nt3 = n3 * n5\nt4 = t0 - t1\nt5 = t2 - t3\nanswer = t4 / t5\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a is twice as good as b . and together they finish a piece of work in 18 days . in how many days will a alone finish the work", + "Output Program": [ + "n0 = 18.0\nt0 = 1.0 + 2.0\nt1 = 1 / n0\nt2 = t1 / t0\nt3 = t2 * 2.0\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "two bullet trains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 120.0\nt0 = n2 + n2\nt1 = n2 / n0\nt2 = n2 / n1\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "there is food for 760 men for 22 days . how many more men should join after two days so that the same food may last for 8 days more ?", + "Output Program": [ + "n0 = 760.0\nn1 = 22.0\nn2 = 8.0\nt0 = n1 - 2.0\nt1 = n0 * t0\nt2 = t1 / n2\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "1140" + ], + "split": "train" + }, + { + "Input": "speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph . a man rows to a place at a distance of 7200 km and comes back to the starting point . the total time taken by him is :", + "Output Program": [ + "n0 = 16.0\nn1 = 2.0\nn2 = 7200.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "914.2857142857143" + ], + "split": "train" + }, + { + "Input": "a alone can do a piece of work in 6 days and b alone in 8 days . a and b undertook to do it for rs . 7000 . with the help of c , they completed the work in 3 days . how much is to be paid to c ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 7000.0\nn3 = 3.0\nt0 = 1 / n3\nt1 = 1 / n1\nt2 = 1 / n0\nt3 = t1 + t2\nt4 = t0 - t3\nt5 = n2 * t4\nanswer = n3 * t5\nprint(answer)" + ], + "Output Answer": [ + "875.0000000000005" + ], + "split": "train" + }, + { + "Input": "a person can row at 10 kmph in still water . if the velocity of the current is 2 kmph and it takes him 20 hour to row to a place and come back , how far is the place ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 20.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n2 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "96" + ], + "split": "train" + }, + { + "Input": "in what time will a train 320 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 320.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "7.999360051195905" + ], + "split": "train" + }, + { + "Input": "a person can row at 10 kmph in still water . if the velocity of the current is 2 kmph and it takes him 5 hour to row to a place and come back , how far is the place ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n2 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "an woman swims downstream 45 km and upstream 25 km taking 5 hours each time ; what is the speed of the current ?", + "Output Program": [ + "n0 = 45.0\nn1 = 25.0\nn2 = 5.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a computer factory produces 8400 computers per month at a constant rate , how many computers are built every 30 minutes assuming that there are 28 days in one month ?", + "Output Program": [ + "n0 = 8400.0\nn1 = 30.0\nn2 = 28.0\nt0 = n0 / n2\nt1 = n2 - 4.0\nt2 = t1 * 2.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.25" + ], + "split": "train" + }, + { + "Input": "without stoppages , a train travels certain distance with an average speed of 80 km / h , and with stoppages , it covers the same distance with an average speed of 60 km / h . how many minutes per hour the train stops ?", + "Output Program": [ + "n0 = 80.0\nn1 = 60.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a train 480 m in length crosses a telegraph post in 16 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 480.0\nn1 = 16.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "108" + ], + "split": "train" + }, + { + "Input": "what distance will be covered by a bus moving at 36 kmph in 30 seconds ?", + "Output Program": [ + "n0 = 36.0\nn1 = 30.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "300.024" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 30 kmph . what is the speed of the stream if the boat can cover 80 km downstream or 40 km upstream in the same time ?", + "Output Program": [ + "n0 = 30.0\nn1 = 80.0\nn2 = 40.0\nt0 = 1.0 + 2.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a rectangular plot measuring 60 meters by 50 meters is to be enclosed by wire fencing . if the poles of the fence are kept 5 meters apart . how many poles will be needed ?", + "Output Program": [ + "n0 = 60.0\nn1 = 50.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = t0 * 2.0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "it will take 18 days for cameron to complete a certain task alone . he worked for 9 days before she was joined by sandra . both of them completed the remaining task in 3 and half days . how many days will it take both of them to complete the entire job ?", + "Output Program": [ + "n0 = 18.0\nn1 = 9.0\nn2 = 3.0\nt0 = 1.0 / 2.0\nt1 = n1 / n0\nt2 = n2 + t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 25 kmph and downstream at 37 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 25.0\nn1 = 37.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "31" + ], + "split": "train" + }, + { + "Input": "walking at 50 % of his usual speed a man takes 24 minutes more to cover a distance . what is his usual time to cover this distance ?", + "Output Program": [ + "n0 = 50.0\nn1 = 24.0\nt0 = n0 / 100.0\nt1 = 1.0 / t0\nt2 = t1 - 1.0\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "lloyd normally works 7.5 hours per day and earns $ 4.50 per hour . for each hour he works in excess of 7.5 hours on a given day , he is paid 2.0 times his regular rate . if lloyd works 10.5 hours on a given day , how much does he earn for that day ?", + "Output Program": [ + "n0 = 7.5\nn1 = 4.5\nn2 = 7.5\nn3 = 2.0\nn4 = 10.5\nt0 = n0 * n1\nt1 = n4 - n0\nt2 = n3 * t1\nt3 = n1 * t2\nanswer = t0 + t3\nprint(answer)" + ], + "Output Answer": [ + "60.75" + ], + "split": "train" + }, + { + "Input": "to apply for the position of photographer at a local magazine , a photographer needs to include 4 or 5 photos in an envelope accompanying the application . if the photographer has pre - selected 7 photos representative of her work , how many choices does she have to provide the photos for the magazine ?", + "Output Program": [ + "import math\nn0 = 4.0\nn1 = 5.0\nn2 = 7.0\nt0 = math.factorial(min(15, int(n2)))\nt1 = math.factorial(min(15, int(n1)))\nt2 = n2 * 2.0\nt3 = t0 / t1\nanswer = t3 + t2\nprint(answer)" + ], + "Output Answer": [ + "56" + ], + "split": "train" + }, + { + "Input": "at 6 \u2032 o a clock ticks 6 times . the time between first and last ticks is 30 seconds . how long does it tick at 12 \u2032 o clock", + "Output Program": [ + "n0 = 6.0\nn1 = 6.0\nn2 = 30.0\nn3 = 12.0\nt0 = n0 - 1.0\nt1 = n3 - 1.0\nt2 = n2 / t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "66" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 12 days . in how many days b alone can do the work ?", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\nn2 = 12.0\nt0 = 1 / n2\nt1 = 1 / n0\nt2 = n1 * t1\nt3 = 1.0 - t2\nt4 = t0 * t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a thief is spotted by a policeman from a distance of 200 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ?", + "Output Program": [ + "n0 = 200.0\nn1 = 8.0\nn2 = 10.0\nt0 = n0 * n1\nt1 = n2 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "800" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 9 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 5.0\nn1 = 9.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.249999999999998" + ], + "split": "train" + }, + { + "Input": "if athul rows 16 km upstream and 24 km down steam taking 4 hours each , then the speed of the stream", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nn2 = 4.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "a car takes 4.5 hours to travel from a to b , which is 360 miles apart . what is the average speed of the car ?", + "Output Program": [ + "n0 = 4.5\nn1 = 360.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "a glucose solution contains 10 grams of glucose per 100 cubic centimeters of solution . if 45 cubic centimeters of the solution were poured into an empty container , how many grams of glucose would be in the container ?", + "Output Program": [ + "n0 = 10.0\nn1 = 100.0\nn2 = 45.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 4 days . b can do it in 5 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = n2 * t3\nt5 = t0 - t4\nt6 = t5 / n2\nanswer = t0 / t6\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 140 meters long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 140.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "235" + ], + "split": "train" + }, + { + "Input": "a train 100 meters long completely crosses a 300 meters long bridge in 15 seconds . what is the speed of the train is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 300.0\nn2 = 15.0\nt0 = n0 + n1\nt1 = n2 / 3600.0\nt2 = t0 / 1000.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "96" + ], + "split": "train" + }, + { + "Input": "jane makes toy bears . when she works with an assistant , she makes 80 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane \u2019 s output of toy bears per hour by what percent e ?", + "Output Program": [ + "n0 = 80.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = t0 - n1\nt2 = n1 / t1\nanswer = t2 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "if the wheel is 10 cm then the number of revolutions to cover a distance of 1056 cm is ?", + "Output Program": [ + "n0 = 10.0\nn1 = 1056.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "16.81528662420382" + ], + "split": "train" + }, + { + "Input": "the perimeter of a semi circle is 126 cm then the radius is ?", + "Output Program": [ + "n0 = 126.0\nt0 = 2.0 + 3.141592653589793\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "24.50602536784559" + ], + "split": "train" + }, + { + "Input": "two cyclist start from the same places in opposite directions . one is going towards north at 10 kmph and the other is going towards south 15 kmph . what time will they take to be 50 km apart ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 50.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "if the wheel is 14 cm then the number of revolutions to cover a distance of 3520 cm is ?", + "Output Program": [ + "n0 = 14.0\nn1 = 3520.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "40.03639672429481" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 1000 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 1000.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "20625" + ], + "split": "train" + }, + { + "Input": "a and b finish the job in 15 days . while a , b and c can finish it in 11 days . c alone will finish the job in", + "Output Program": [ + "n0 = 15.0\nn1 = 11.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "41.25" + ], + "split": "train" + }, + { + "Input": "on a map , 1 inch represents 28 miles . how many x xxinches would be necessary to represent a distance of 383.6 miles ?", + "Output Program": [ + "n0 = 1.0\nn1 = 28.0\nn2 = 383.6\n\nanswer = n2 / n1\nprint(answer)" + ], + "Output Answer": [ + "13.700000000000001" + ], + "split": "train" + }, + { + "Input": "if in a race of 130 m , a covers the distance in 20 seconds and b in 25 seconds , then a beats b by :", + "Output Program": [ + "n0 = 130.0\nn1 = 20.0\nn2 = 25.0\nt0 = n2 - n1\nt1 = t0 / n2\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 15 km / hr and the rate of current is 3 km / hr the distance travelled downstream in 12 minutes is :", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 12.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "3.6" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 24 kmph . if he rows downstream , where the speed of current is 8 kmph , what time will he take to cover 40 metres ?", + "Output Program": [ + "n0 = 24.0\nn1 = 8.0\nn2 = 40.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "4.499640028797696" + ], + "split": "train" + }, + { + "Input": "a rectangular box measures internally 1.6 m long , 1 m broad and 60 cm deep . the number of cubical blocks each of edge 20 cm that can be packed inside the box is", + "Output Program": [ + "n0 = 1.6\nn1 = 1.0\nn2 = 60.0\nn3 = 20.0\nt0 = n3 / 100.0\nt1 = n2 / 100.0\nt2 = n0 / t0\nt3 = n1 / t0\nt4 = t1 / t0\nanswer = t2 * t3 * t4\nprint(answer)" + ], + "Output Answer": [ + "119.99999999999999" + ], + "split": "train" + }, + { + "Input": "two pipes a and b can fill a tank in 50 hour and 75 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ?", + "Output Program": [ + "n0 = 50.0\nn1 = 75.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a contract is to be completed in 46 days sad 117 men were said to work 8 hours a day . after 33 days , ( 4 / 7 ) of the work is completed . how many additional men may be employed so that the work may be completed in time , each man now working 9 hours a day ?", + "Output Program": [ + "n0 = 46.0\nn1 = 117.0\nn2 = 8.0\nn3 = 33.0\nn4 = 4.0\nn5 = 7.0\nn6 = 9.0\nt0 = n4 / n5\nt1 = n0 - n3\nt2 = t0 * t1\nt3 = 1.0 - t0\nt4 = n3 * t3\nt5 = n6 * t2\nt6 = n2 * t4\nt7 = n1 * t6\nt8 = t7 / t5\nanswer = t8 - n1\nprint(answer)" + ], + "Output Answer": [ + "81.00000000000003" + ], + "split": "train" + }, + { + "Input": "working at a constant rate , p can finish a job in 4 hours . q , also working at a constant rate , can finish the same job in 15 hours . if they work together for 3 hours , how many more minutes will it take p to finish the job , working alone at his constant rate ?", + "Output Program": [ + "n0 = 4.0\nn1 = 15.0\nn2 = 3.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nt3 = t2 * n2\nt4 = 1.0 - t3\nt5 = t4 / t0\nanswer = t5 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "12.00000000000001" + ], + "split": "train" + }, + { + "Input": "a man walking at the speed of 4 kmph crosses a square field diagonally in 3 minutes . the area of the field is :", + "Output Program": [ + "import math\nn0 = 4.0\nn1 = 3.0\nt0 = 2.0 * 3.0\nt1 = n0 * 1000.0\nt2 = math.sqrt(max(0, 2.0))\nt3 = t0 * 10.0\nt4 = n1 / t3\nt5 = t4 * t1\nt6 = t5 / t2\nanswer = t6**2\nprint(answer)" + ], + "Output Answer": [ + "19999.999999999993" + ], + "split": "train" + }, + { + "Input": "convert the 10 / 36 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 10.0\nn1 = 36.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "33 men can complete a piece of work in 18 days . in how many days will 27 men complete the same work ?", + "Output Program": [ + "n0 = 33.0\nn1 = 18.0\nn2 = 27.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "a man can do a piece of work in 15 days , but with the help of his son , he can do it in 6 days . in what time can the son do it alone ?", + "Output Program": [ + "n0 = 15.0\nn1 = 6.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "if 20 typists can type 60 letters in 20 minutes , then how many letters will 30 typists working at the same rate complete in 1 hour ?", + "Output Program": [ + "n0 = 20.0\nn1 = 60.0\nn2 = 20.0\nn3 = 30.0\nn4 = 1.0\nt0 = n1 * 3.0\nt1 = t0 / n0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "270" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 40 meters or 10 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 40.0\nn1 = 10.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "dan can do a job alone in 15 hours . annie , working alone , can do the same job in just 10 hours . if dan works alone for 6 hours and then stops , how many hours will it take annie , working alone , to complete the job ?", + "Output Program": [ + "n0 = 15.0\nn1 = 10.0\nn2 = 6.0\nt0 = n2 / n0\nt1 = 1.0 - t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "find the area of a cuboid of length 8 cm , breadth 10 cm . and height 12 cm .", + "Output Program": [ + "n0 = 8.0\nn1 = 10.0\nn2 = 12.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "960" + ], + "split": "train" + }, + { + "Input": "if a car went the first third of the distance at 60 kmh , the second third at 24 kmh , and the last third at 48 kmh , what was the average speed of the car for the entire trip ?", + "Output Program": [ + "n0 = 60.0\nn1 = 24.0\nn2 = 48.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 3.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "37.89473684210527" + ], + "split": "train" + }, + { + "Input": "if the wheel is 14 cm then the number of revolutions to cover a distance of 968 cm is ?", + "Output Program": [ + "n0 = 14.0\nn1 = 968.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "11.010009099181074" + ], + "split": "train" + }, + { + "Input": "two trains 210 m and 260 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 210.0\nn1 = 260.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "16.918646508279338" + ], + "split": "train" + }, + { + "Input": "i have a huge bed - sheet of 1 meter long . i want to cuts this role into pieces of 20 centimeter long cloth . how long will it take me to cut the bed sheet if each 20 centimeter cut took me 5 minutes ?", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 20.0\nn3 = 5.0\nt0 = n1 + n1\nt1 = t0 + 10.0\nt2 = t1 - 1.0\nanswer = n3 * t2\nprint(answer)" + ], + "Output Answer": [ + "245" + ], + "split": "train" + }, + { + "Input": "30 men can do a work in 40 days . when should 14 men leave the work so that the entire work is completed in 40 days after they leave the work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 14.0\nn3 = 40.0\nt0 = n0 * n1\nt1 = n1 * n2\nt2 = t0 - t1\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "4 men and 6 women finish a job in 8 days , while 3 men and 7 women finish it in 10 days . in how many days will 10 women working together finish it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 8.0\nn3 = 3.0\nn4 = 7.0\nn5 = 10.0\nn6 = 10.0\nt0 = n4 * n5\nt1 = n1 * n2\nt2 = n0 * n2\nt3 = n3 * n5\nt4 = t0 - t1\nt5 = t2 - t3\nt6 = t4 / t5\nt7 = t6 * t2\nt8 = t7 + t1\nanswer = t8 / n5\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "alice leaves her home and walks toward bob ' s house . one hour later , bob leaves his home and walks toward alice ' s house . the distance between their homes is 41 kilometers , alice ' s walking speed is 5 km / h , and bob ' s walking speed is 4 km / h . how many kilometers will alice walk before she meets bob ?", + "Output Program": [ + "n0 = 41.0\nn1 = 5.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = n0 - n1\nt2 = t1 / t0\nt3 = n1 * t2\nanswer = n1 + t3\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a man can row 7 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and back . what is the total distance traveled by the man ?", + "Output Program": [ + "n0 = 7.0\nn1 = 1.2\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "6.794285714285714" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 20 km in the first hour and 30 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "how many shots of 1 cm radius can be prepared from a sphere of 4 cm radius ?", + "Output Program": [ + "n0 = 1.0\nn1 = 4.0\nt0 = n1**min(2.0, 5)\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "64" + ], + "split": "train" + }, + { + "Input": "one hour after yolanda started walking from x to y , a distance of 24 miles , bob started walking along the same road from y to x . if yolanda ' s walking rate was 3 miles per hour and bob \u0442 ' s was 4 miles per hour , how many miles had bob walked when they met ?", + "Output Program": [ + "n0 = 24.0\nn1 = 3.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = n0 - n1\nt2 = t1 / t0\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 20 days , b can do a piece of work in 12 days , both are working together for 3 days after a left the job , then how many days b requires to complete the remaining work ?", + "Output Program": [ + "import math\nn0 = 20.0\nn1 = 12.0\nn2 = 3.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t1 + t0\nt3 = 1 / t2\nt4 = t3 - n2\nt5 = t0 * t4\nt6 = 1 / t5\nt7 = t6 + 1.0\nanswer = math.floor(t7)\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 42 m at the rate of rs . 5 a meter ?", + "Output Program": [ + "import math\nn0 = 42.0\nn1 = 5.0\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "659.7344572538566" + ], + "split": "train" + }, + { + "Input": "length of a rectangular plot is 60 mtr more than its breadth . if the cost of fencing the plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 60.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 15 cm", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 15.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "285" + ], + "split": "train" + }, + { + "Input": "mary can do a piece of work in 28 days . rosy is 40 % more efficient than mary . the number of days taken by rosy to do the same piece of work is ?", + "Output Program": [ + "n0 = 28.0\nn1 = 40.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a and b complete a work in 5 days . a alone can do it in 10 days . if both together can do the work in how many days ?", + "Output Program": [ + "n0 = 5.0\nn1 = 10.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.333333333333333" + ], + "split": "train" + }, + { + "Input": "when tom works alone he chops 2 lb . salad in 3 minutes , and when tammy works alone she chops 3 lb . salad in 2 minutes . they start working together , and after some time finish chopping 65 lb . of salad . of those 80 lb . , the salad quantity chopped by tom is what percent lesser than the quantifying chopped by tammy ? .", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 3.0\nn3 = 2.0\nn4 = 65.0\nn5 = 80.0\nt0 = n1 / n0\nt1 = n0 / n1\nt2 = t0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "125.00000000000003" + ], + "split": "train" + }, + { + "Input": "suresh can complete a job in 15 hours . ashutosh alone can complete the same job in 35 hours . suresh works for 9 hours and then the remaining job is completed by ashutosh . how many hours will it take ashutosh to complete the remaining job alone ?", + "Output Program": [ + "n0 = 15.0\nn1 = 35.0\nn2 = 9.0\nt0 = n2 / n0\nt1 = 1.0 - t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "a and b can together finish a work in 40 days . they worked together for 10 days and then b left . after another 9 days , a finished the remaining work . in how many days a alone can finish the job ?", + "Output Program": [ + "n0 = 40.0\nn1 = 10.0\nn2 = 9.0\nt0 = n0 * n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "two trains of length 90 m and 95 m are 250 m apart . they start moving towards each other on parallel tracks , at speeds 64 kmph and 92 kmph . after how much time will the trains meet ?", + "Output Program": [ + "n0 = 90.0\nn1 = 95.0\nn2 = 250.0\nn3 = 64.0\nn4 = 92.0\nt0 = n3 + n4\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "5.768769267689355" + ], + "split": "train" + }, + { + "Input": "a take twice as much time as b or thrice as much time to finish a piece of work . working together , they can finish the work in 3 days . b can do the work alone in ?", + "Output Program": [ + "n0 = 3.0\nt0 = 1.0 + 2.0\nt1 = t0 + 3.0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "an outlet pipe can empty 3 / 4 of a cistern in 12 minutes . in 4 minutes , what part of the cistern will be emptied ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 12.0\nn3 = 4.0\nt0 = n0 / n1\nt1 = n3 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "0.25" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 meters long running at the speed of 72 km / hour take to cross a bridge 132 meters in length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 72.0\nn2 = 132.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12.099032077433806" + ], + "split": "train" + }, + { + "Input": "a , b and c can do a work in 15 , 20,45 days respectively . in how many days they can complete the work together .", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 45.0\nt0 = 2.0 + 3.0\nt1 = 1 / n0\nt2 = n0 + t0\nt3 = t2 + t2\nt4 = 1 / t2\nt5 = t1 + t4\nt6 = t3 + t0\nt7 = 1 / t6\nt8 = t5 + t7\nanswer = 1 / t8\nprint(answer)" + ], + "Output Answer": [ + "7.199999999999999" + ], + "split": "train" + }, + { + "Input": "how long does a train 100 m long running at the speed of 65 km / hr takes to cross a bridge 145 m length ?", + "Output Program": [ + "n0 = 100.0\nn1 = 65.0\nn2 = 145.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "13.568145317605362" + ], + "split": "train" + }, + { + "Input": "at 15 : 15 pm railway time , what will be the angle between minute and hour hand ?", + "Output Program": [ + "n0 = 15.0\nn1 = 15.0\nt0 = n0 + n0\nt1 = t0 * 3.0\nt2 = t1 * 3.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "360" + ], + "split": "train" + }, + { + "Input": "length of a rectangular plot is 28 mtr more than its breadth . if the cost of fencin gthe plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 28.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "64" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 18 kmph . if he rows downstream , where the speed of current is 6 kmph , what time will he take to cover 100 metres ?", + "Output Program": [ + "n0 = 18.0\nn1 = 6.0\nn2 = 100.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "14.998800095992323" + ], + "split": "train" + }, + { + "Input": "two cyclist start from the same places in opposite directions . one is going towards north at 10 kmph and the other is going towards south 25 kmph . what time will they take to be 50 km apart ?", + "Output Program": [ + "n0 = 10.0\nn1 = 25.0\nn2 = 50.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "1.4285714285714286" + ], + "split": "train" + }, + { + "Input": "a 260 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", + "Output Program": [ + "n0 = 260.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "240.03999999999996" + ], + "split": "train" + }, + { + "Input": "a boatman can row 96 km downstream in 8 hr . if the speed of the current is 4 km / hr , then find in what time he will be able to cover 8 km upstream ?", + "Output Program": [ + "n0 = 96.0\nn1 = 8.0\nn2 = 4.0\nn3 = 8.0\nt0 = n0 / n1\nt1 = t0 - n2\nt2 = t1 - n2\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "circular gears p and q start rotating at the same time at constant speeds . gear p makes 10 revolutions per minute and gear q makes 40 revolutions per minute . how many seconds after the gears start rotating will gear q have made exactly 15 more revolutions than gear p ?", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nn2 = 15.0\nt0 = n1 / 60.0\nt1 = n0 / 60.0\nt2 = t0 - t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "it takes 1.5 hours for tim to mow the lawn . linda can mow the same lawn in 2 hours . how long will it take john and linda , work together , to mow the lawn ?", + "Output Program": [ + "n0 = 1.5\nn1 = 2.0\nt0 = n0 * 60.0\nt1 = n1 * 60.0\nt2 = 1.0 / t0\nt3 = 1.0 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "51.42857142857143" + ], + "split": "train" + }, + { + "Input": "a wheel rotates 10 times every minute and moves 20 cm during each rotation . how many ems does the wheel move in 1 hour ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 1.0\nt0 = n0 * 60.0\nt1 = n0 * n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "120000" + ], + "split": "train" + }, + { + "Input": "a car takes 6 hours to cover a distance of 469 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 469.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "52.111111111111114" + ], + "split": "train" + }, + { + "Input": "a cistern is normally filled in 4 hrs , but takes 2 hrs longer to fill because of a leak on its bottom , if cistern is full , how much time citern would empty ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nt0 = n0 + n1\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t1 - t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999998" + ], + "split": "train" + }, + { + "Input": "a constructor estimates that 5 people can repair mr rohan ' s house in 6 days . if he uses 6 people instead of 5 , how long will they take to complete the job ?", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 6.0\nn3 = 5.0\nt0 = n0 * n1\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "circular gears p and q start rotating at the same time at constant speeds . gear p makes 10 revolutions per minute and gear q makes 40 revolutions per minute . how many seconds after the gears start rotating will gear q have made exactly 5 more revolutions than gear p ?", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nn2 = 5.0\nt0 = n1 / 60.0\nt1 = n0 / 60.0\nt2 = t0 - t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a car travels at a speed of 65 miles per hour . how far will it travel in 4 hours ?", + "Output Program": [ + "n0 = 65.0\nn1 = 4.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "260" + ], + "split": "train" + }, + { + "Input": "a can give b 150 meters start and c 300 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 150.0\nn1 = 300.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "176.47058823529414" + ], + "split": "train" + }, + { + "Input": "a train 250 m long running at 72 kmph crosses a platform in 15 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 250.0\nn1 = 72.0\nn2 = 15.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "50.024" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work 30 days . b can do work in 55 days . in how many days they will complete the work together ?", + "Output Program": [ + "n0 = 30.0\nn1 = 55.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "19.411764705882355" + ], + "split": "train" + }, + { + "Input": "the diameter of a garden roller is 1.2 m and it is 2 m long . how much area will it cover in 5 revolutions ? ( use \u00ef \u20ac = 22 \u00e2 \u0081 \u201e 7 )", + "Output Program": [ + "n0 = 1.2\nn1 = 2.0\nn2 = 5.0\nn3 = 22.0\nn4 = 7.0\nt0 = n0 / 2.0\nt1 = n3 / n4\nt2 = t1 * 2.0\nt3 = t0 * t2\nt4 = n1 * t3\nanswer = n2 * t4\nprint(answer)" + ], + "Output Answer": [ + "37.714285714285715" + ], + "split": "train" + }, + { + "Input": "in a regular week , there are 5 working days and for each day , the working hours are 8 . a man gets rs . 2.40 per hour for regular work and rs . 3.20 per hours for overtime . if he earns rs . 432 in 4 weeks , then how many hours does he work for ? a . 160 b . 175 c . 180 d . 195 explanation :", + "Output Program": [ + "n0 = 5.0\nn1 = 8.0\nn2 = 2.4\nn3 = 3.2\nn4 = 432.0\nn5 = 4.0\nn6 = 160.0\nn7 = 175.0\nn8 = 180.0\nn9 = 195.0\nt0 = n1 * n2\nt1 = n0 * n1\nt2 = n0 * t0\nt3 = n5 * t1\nt4 = n5 * t2\nt5 = n4 - t4\nt6 = t5 / n3\nanswer = t6 + t3\nprint(answer)" + ], + "Output Answer": [ + "175" + ], + "split": "train" + }, + { + "Input": "the inner circumference of a circular race track , 25 m wide , is 880 m . find radius of the outer circle ?", + "Output Program": [ + "n0 = 25.0\nn1 = 880.0\nt0 = n1 / 3.141592653589793\nt1 = t0 / 2.0\nanswer = n0 + t1\nprint(answer)" + ], + "Output Answer": [ + "165.0563499208679" + ], + "split": "train" + }, + { + "Input": "car x began traveling at an average speed of 35 miles per hour . after 72 minutes , car y began traveling at an average speed of 42 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?", + "Output Program": [ + "n0 = 35.0\nn1 = 72.0\nn2 = 42.0\nt0 = n1 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "210" + ], + "split": "train" + }, + { + "Input": "one pump drains one - half of a pond in 6 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ?", + "Output Program": [ + "n0 = 6.0\nt0 = n0 * 2.0\nt1 = 1.0 / t0\nt2 = 1.0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "1.090909090909091" + ], + "split": "train" + }, + { + "Input": "light glows for every 17 seconds . how many times did it between 1 : 57 : 58 and 3 : 20 : 47 am", + "Output Program": [ + "n0 = 17.0\nn1 = 1.0\nn2 = 57.0\nn3 = 58.0\nn4 = 3.0\nn5 = 20.0\nn6 = 47.0\nt0 = n6 + 2.0\nt1 = 2.0 + 60.0\nt2 = n5 + t1\nt3 = t2 * 60.0\nt4 = t0 + t3\nanswer = t4 / n0\nprint(answer)" + ], + "Output Answer": [ + "292.29411764705884" + ], + "split": "train" + }, + { + "Input": "two trains of length 100 meters and 200 meters are 660 meters apart . they are moving towards each other on parallel tracks , at speeds of 90 km / h and 108 km / h . after how many seconds will the trains meet ?", + "Output Program": [ + "n0 = 100.0\nn1 = 200.0\nn2 = 660.0\nn3 = 90.0\nn4 = 108.0\nt0 = n3 + n4\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "11.999040076793857" + ], + "split": "train" + }, + { + "Input": "a good train 800 metres long is running at a speed of 78 km / hr . if it crosses a tunnel in 1 minute , then the length of the tunnel ( in meters ) is :", + "Output Program": [ + "n0 = 800.0\nn1 = 78.0\nn2 = 1.0\nt0 = 1.0 + 4.0\nt1 = 60.0 / 3.0\nt2 = t0 + 60.0\nt3 = t2 * t1\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "suresh can complete a job in 15 hours . ashutosh alone can complete the same job in 25 hours . suresh works for 9 hours and then the remaining job is completed by ashutosh . how many hours will it take ashutosh to complete the remaining job alone ?", + "Output Program": [ + "n0 = 15.0\nn1 = 25.0\nn2 = 9.0\nt0 = n2 / n0\nt1 = 1.0 - t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a can do a work in 15 days and b in 20 days . if they work on it together for 2 days , then the fraction of the work that is left is :", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 2.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.7666666666666666" + ], + "split": "train" + }, + { + "Input": "find the length of the wire required to go 13 times round a square field containing 24336 m 2 .", + "Output Program": [ + "import math\nn0 = 13.0\nn1 = 24336.0\nn2 = 2.0\nt0 = math.sqrt(n1) # square edge given area\nt1 = 4 * t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "8112" + ], + "split": "train" + }, + { + "Input": "two trains 125 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 125.0\nn1 = 165.0\nn2 = 80.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.199424046076314" + ], + "split": "train" + }, + { + "Input": "stacy has a 81 page history paper due in 3 days . how many pages per day would she have to write to finish on time ?", + "Output Program": [ + "n0 = 81.0\nn1 = 3.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "a person can swim in still water at 16 km / h . if the speed of water 8 km / h , how many hours will the man take to swim back against the current for 12 km ?", + "Output Program": [ + "n0 = 16.0\nn1 = 8.0\nn2 = 12.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "train" + }, + { + "Input": "a train 640 m in length crosses a telegraph post in 16 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 640.0\nn1 = 16.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "144" + ], + "split": "train" + }, + { + "Input": "harry started a 7 - mile hike with a full 11 - cup canteen of water and finished the hike in 3 hours with 2 cup of water remaining in the canteen . if the canteen leaked at the rate of 1 cup per hour and harry drank 3 cups of water during the last mile , how many cups did he drink per mile during the first 6 miles of the hike ?", + "Output Program": [ + "n0 = 7.0\nn1 = 11.0\nn2 = 3.0\nn3 = 2.0\nn4 = 1.0\nn5 = 3.0\nn6 = 6.0\nt0 = n1 - n2\nt1 = t0 - n5\nt2 = t1 - n3\nanswer = t2 / n6\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "the famous denali star train starts from anchorge & travels towards fair banksat speed 50 mph . after some time another train glacier discovery train ( at parallel track ) at fair banks and moves towards anchorge at a speed of 70 mph . both the trains denali star & glacier discovery have a length 1 / 6 miles each . after the trains meet how many seconds will faster train take to overtake the slower one ?", + "Output Program": [ + "n0 = 50.0\nn1 = 70.0\nn2 = 1.0\nn3 = 6.0\nt0 = n0 + n1\nt1 = n2 / n3\nt2 = t1 + t1\nt3 = t2 / t0\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "9.999999999999998" + ], + "split": "train" + }, + { + "Input": "1000 men have provisions for 15 days . if 200 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 15.0\nn2 = 200.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "12.5" + ], + "split": "train" + }, + { + "Input": "the length of a train and that of a platform are equal . if with a speed of 90 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?", + "Output Program": [ + "n0 = 90.0\nt0 = 60.0 / 1.0\nt1 = n0 * 1000.0\nt2 = t1 / t0\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "750" + ], + "split": "train" + }, + { + "Input": "train a leaves the station traveling at 30 miles per hour . two hours later train \u0432 leaves the same station traveling in the same direction at 42 miles per hour . how many miles from the station was train a overtaken by train b ?", + "Output Program": [ + "n0 = 30.0\nn1 = 42.0\nt0 = n0 * 2.0\nt1 = n1 - n0\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "210" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 13 cm", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 13.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "247" + ], + "split": "train" + }, + { + "Input": "a 200 meter long train crosses a man standing on the platform in 9 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 200.0\nn1 = 9.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 231 the other is", + "Output Program": [ + "n0 = 2310.0\nn1 = 30.0\nn2 = 231.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "hcf and lcm two numbers are 12 and 396 respectively . if one of the numbers is 24 , then the other number is ?", + "Output Program": [ + "n0 = 12.0\nn1 = 396.0\nn2 = 24.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "198" + ], + "split": "train" + }, + { + "Input": "two trains 140 m and 170 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 140.0\nn1 = 170.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.159107271418288" + ], + "split": "train" + }, + { + "Input": "a contractor undertook to do a piece of work in 6 days . he employed certain number of laboures but 7 of them were absent from the very first day and the rest could finish the work in only 10 days . find the number of men originally employed ?", + "Output Program": [ + "n0 = 6.0\nn1 = 7.0\nn2 = 10.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.5" + ], + "split": "train" + }, + { + "Input": "two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 50 hr . if all pipes are opened simultaneously , then the cistern will be filled in", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nn2 = 50.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "6.1224489795918355" + ], + "split": "train" + }, + { + "Input": "a certain car increased its average speed by 5 miles per hour in each successive 5 - minute interval after the first interval . if in the first 5 - minute interval its average speed was 26 miles per hour , how many miles did the car travel in the third 5 - minute interval ?", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 5.0\nn3 = 26.0\nn4 = 5.0\nt0 = n0 + n3\nt1 = n0 / 60.0\nt2 = n0 + t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "how long does a train 165 meters long running at the rate of 90 kmph take to cross a bridge 660 meters in length ?", + "Output Program": [ + "n0 = 165.0\nn1 = 90.0\nn2 = 660.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "32.99736021118311" + ], + "split": "train" + }, + { + "Input": "a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of man is", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "3 medical experts , working together at the same constant rate , can write an anatomy textbook in 24 days . how many additional experts , working together at this same constant rate , are needed to write the textbook in 18 days ?", + "Output Program": [ + "n0 = 3.0\nn1 = 24.0\nn2 = 18.0\nt0 = n0 * n1\nt1 = t0 / n2\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "the cost of carpeting a room 15 meters long with a carpet 75 cm wide at 30 paise per meter is rs . 36 . the breadth of the room is ?", + "Output Program": [ + "n0 = 15.0\nn1 = 75.0\nn2 = 30.0\nn3 = 36.0\nt0 = n1 / 100.0\nt1 = n3 * 100.0\nt2 = t1 / n2\nt3 = t2 * t0\nanswer = t3 / n0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "an aeroplane covers a certain distance of 590 kmph in 8 hours . to cover the same distance in 2 3 / 4 hours , it must travel at a speed of", + "Output Program": [ + "n0 = 590.0\nn1 = 8.0\nn2 = 2.0\nn3 = 3.0\nn4 = 4.0\nt0 = n0 * n1\nt1 = n2 * n4\nt2 = n3 + t1\nt3 = t2 / n4\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "1716.3636363636363" + ], + "split": "train" + }, + { + "Input": "a work can be completed by 12 boys in 24 days and 12 girls in 12 days . in how many days would the 6 boys and 6 girls working together complete the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 24.0\nn2 = 12.0\nn3 = 12.0\nn4 = 6.0\nn5 = 6.0\nt0 = n0 * n1\nt1 = n0 * n0\nt2 = n4 / t0\nt3 = n4 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "walking at 75 % of his usual speed a man takes 24 minutes more to cover a distance . what is his usual time to cover this distance ?", + "Output Program": [ + "n0 = 75.0\nn1 = 24.0\nt0 = n0 / 100.0\nt1 = 1.0 / t0\nt2 = t1 - 1.0\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "72.00000000000001" + ], + "split": "train" + }, + { + "Input": "anusha , banu and esha run a running race of 100 meters . anusha is the fastest followed by banu and then esha . anusha , banu and esha maintain constant speeds during the entire race . when anusha reached the goal post , banu was 10 m behind . when banu reached the goal post esha was 10 m behind . how far was behind anusha when the latter reached the goal post .", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 10.0\nt0 = n0 - n1\nt1 = n0 / t0\nt2 = 1 / t1\nanswer = t2 * t0\nprint(answer)" + ], + "Output Answer": [ + "80.99999999999999" + ], + "split": "train" + }, + { + "Input": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 11 meters , and the interior of tank b has a height of 11 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?", + "Output Program": [ + "n0 = 10.0\nn1 = 11.0\nn2 = 11.0\nn3 = 10.0\nt0 = n0 / n2\nt1 = n1 / n3\nt2 = t1**min(2.0, 5)\nt3 = t0 * t2\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "110.00000000000001" + ], + "split": "train" + }, + { + "Input": "how many bricks , each measuring 40 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8 m x 6 m x 22.5 cm ?", + "Output Program": [ + "n0 = 40.0\nn1 = 11.25\nn2 = 6.0\nn3 = 8.0\nn4 = 6.0\nn5 = 22.5\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "4000" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 2 hours while it can be emptied by another tap in 9 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 2.0\nn1 = 9.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "2.571428571428571" + ], + "split": "train" + }, + { + "Input": "the edges of a cuboid are 6 cm , 5 cm and 6 cm . find the volume of the cuboid ?", + "Output Program": [ + "n0 = 6.0\nn1 = 5.0\nn2 = 6.0\n\nanswer = n0 * n1 * n2\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 8 minutes and pipe b cam empty it in 24 minutes . if both the pipes are opened together after how many minutes should pipe b be closed , so that the tank is filled in 30 minutes ?", + "Output Program": [ + "n0 = 8.0\nn1 = 24.0\nn2 = 30.0\nt0 = n2 / n0\nt1 = t0 - 1.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "66" + ], + "split": "train" + }, + { + "Input": "if the wheel is 15 cm then the number of revolutions to cover a distance of 1056 cm is ?", + "Output Program": [ + "n0 = 15.0\nn1 = 1056.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "11.210191082802547" + ], + "split": "train" + }, + { + "Input": "the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 108 \u00b0 of the circle , what percentage of megatek employees are in manufacturing ?", + "Output Program": [ + "n0 = 108.0\nt0 = 3600.0 / 10.0\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a man walking at a constant rate of 6 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 12 miles per hour . the woman stops to wait for the man 10 minutes after passing him , while the man continues to walk at his constant rate . how many minutes must the woman wait until the man catches up ?", + "Output Program": [ + "n0 = 6.0\nn1 = 12.0\nn2 = 10.0\nt0 = n2 / 60.0\nt1 = n1 - n0\nt2 = t0 * t1\nt3 = t2 / n0\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "how long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 720 meters in length ?", + "Output Program": [ + "n0 = 165.0\nn1 = 54.0\nn2 = 720.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "58.9952803775698" + ], + "split": "train" + }, + { + "Input": "a boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 9 minutes . then the speed of the current is :", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 1.0\nn3 = 9.0\nt0 = n0 / n3\nt1 = n0 / n1\nt2 = t0 * 60.0\nt3 = t1 * 60.0\nt4 = t2 - t3\nanswer = t4 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1.833333333333333" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 51 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 51.0\nn1 = 18.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "11.5" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 6.7 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 6.7\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "34.44867077905162" + ], + "split": "train" + }, + { + "Input": "a ladder learning against a wall makes an angle of 60 \u00b0 with the ground . if the length of the ladder is 19 m , find the distance of the foot of the ladder from the wall .", + "Output Program": [ + "import math\nn0 = 60.0\nn1 = 19.0\nt0 = n1 + 3.0\nt1 = 3.0 + 4.0\nt2 = 3.0 * 60.0\nt3 = t0 / t1\nt4 = n0 * t3\nt5 = t4 / t2\nt6 = math.cos(t5)\nanswer = n1 * t6\nprint(answer)" + ], + "Output Answer": [ + "9.493063650744542" + ], + "split": "train" + }, + { + "Input": "what is the speed of the stream if a canoe rows upstream at 6 km / hr and downstream at 10 km / hr", + "Output Program": [ + "n0 = 6.0\nn1 = 10.0\nt0 = n1 - n0\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a trader sells 85 meters of cloth for rs . 8925 at the profit of rs . 5 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 85.0\nn1 = 8925.0\nn2 = 5.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "it takes printer a 4 more minutes more than printer b to print 40 pages . working together , the two printers can print 50 pages in 6 minutes . how long will it take printer a to print 60 pages ?", + "Output Program": [ + "n0 = 4.0\nn1 = 40.0\nn2 = 50.0\nn3 = 6.0\nn4 = 60.0\nt0 = n0 * 2.0\nt1 = n0 + t0\nt2 = n4 * t1\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "two trains of length 200 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 200.0\nn1 = 280.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "23.998080153587715" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 3 days . in how many days b alone can do the work ?", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\nn2 = 3.0\nt0 = 1 / n2\nt1 = 1 / n0\nt2 = n1 * t1\nt3 = 1.0 - t2\nt4 = t0 * t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "a tiger is 50 of its own leaps behind a deer . the tiger takes 5 leaps per minutes to deer \u2019 s 4 . if the tiger and the deer cover 8 m and 5 m per leap respectively , what distance will the tiger have to run before it catches the deer ?", + "Output Program": [ + "n0 = 50.0\nn1 = 5.0\nn2 = 4.0\nn3 = 8.0\nn4 = 5.0\nt0 = n0 * n3\nt1 = n1 * n3\nt2 = n1 * n2\nt3 = t1 - t2\nt4 = t0 / t3\nanswer = t4 * t1\nprint(answer)" + ], + "Output Answer": [ + "800" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 25 kmph and downstream at 39 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 25.0\nn1 = 39.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "machine a can process 6000 envelopes in 3 hours . machines b and c working together but independently can process the same number of envelopes in 2.5 hours . if machines a and c working together but independently process 3000 envelopes in 1 hour , then how many hours would it take machine b to process 12000 envelopes .", + "Output Program": [ + "n0 = 6000.0\nn1 = 3.0\nn2 = 2.5\nn3 = 3000.0\nn4 = 1.0\nn5 = 12000.0\nt0 = n0 / n2\nt1 = n3 / n4\nt2 = n0 / n1\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = n5 / t4\nprint(answer)" + ], + "Output Answer": [ + "8.571428571428571" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 160 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 160.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "215" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 6 hours . due to a leak at the bottom , it takes 9 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?", + "Output Program": [ + "n0 = 6.0\nn1 = 9.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "trains a and b start simultaneously from stations 450 miles apart , and travel the same route toward each other on adjacent parallel tracks . if train a and train b travel at a constant rate of 50 miles per hour and 50 miles per hour , respectively , how many miles will train a have traveled when the trains pass each other , to the nearest mile ?", + "Output Program": [ + "n0 = 450.0\nn1 = 50.0\nn2 = 50.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "train" + }, + { + "Input": "12 welders work at a constant rate they complete an order in 3 days . if after the first day , 9 welders start to work on the other project , how many more days the remaining welders will need to complete the rest of the order ?", + "Output Program": [ + "n0 = 12.0\nn1 = 3.0\nn2 = 9.0\nt0 = n0 * n1\nt1 = n0 - n2\nt2 = 1.0 / t0\nt3 = n0 * t2\nt4 = 1.0 - t3\nt5 = t4 / t1\nanswer = t5 / t2\nprint(answer)" + ], + "Output Answer": [ + "8.000000000000002" + ], + "split": "train" + }, + { + "Input": "nicky and cristina are running a 300 meter race . since cristina is faster than nicky , she gives him a 12 second head start . if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ?", + "Output Program": [ + "n0 = 300.0\nn1 = 12.0\nn2 = 5.0\nn3 = 3.0\nt0 = n1 * n3\nt1 = n2 - n3\nt2 = t0 / n3\nt3 = t0 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "nd the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 13 cm ?", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 13.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "247" + ], + "split": "train" + }, + { + "Input": "a man can row 10 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and back . what is the total distance traveled by the man ?", + "Output Program": [ + "n0 = 10.0\nn1 = 1.2\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "9.856" + ], + "split": "train" + }, + { + "Input": "a car takes 6 hours to cover a distance of 288 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 288.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a contractor undertakes to do a job within 100 days and hires 10 people to do it . after 20 days , he realizes that one fourth of the work is done so he fires 2 people . in how many more days w will the work get over ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 20.0\nn3 = 2.0\nt0 = n1 * n2\nt1 = 1.0 - 0.25\nt2 = n1 - n3\nt3 = t0 / 0.25\nt4 = t3 * t1\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "ravi can do a piece of work in 24 days while prakash can do it in 40 days . in how many days will they finish it together ?", + "Output Program": [ + "n0 = 24.0\nn1 = 40.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "it takes joey the postman 1 hours to run a 5 mile long route every day . he delivers packages and then returns to the post office along the same path . if the average speed of the round trip is 8 mile / hour , what is the speed with which joey returns ?", + "Output Program": [ + "n0 = 1.0\nn1 = 5.0\nn2 = 8.0\nt0 = n1 * 2.0\nt1 = t0 / n2\nt2 = t1 - n0\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a contractor undertook to do a piece of work in 15 days . he employed certain number of laboures but 5 of them were absent from the very first day and the rest could finish the work in only 20 days . find the number of men originally employed ?", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\nn2 = 20.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "4 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 5 women and 10 children take to complete the work ?", + "Output Program": [ + "n0 = 4.0\nn1 = 7.0\nn2 = 10.0\nn3 = 14.0\nn4 = 5.0\nn5 = 10.0\nt0 = n0 * n1\nt1 = n0 * n3\nt2 = n4 / t0\nt3 = n0 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "suppose 12 monkeys take 12 minutes to eat 12 bananas . how many monkeys would it take to eat 72 bananas in 72 minutes ?", + "Output Program": [ + "n0 = 12.0\nn1 = 12.0\nn2 = 12.0\nn3 = 72.0\nn4 = 72.0\nt0 = n3 / n0\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 6.4 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 6.4\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "32.90619298297467" + ], + "split": "train" + }, + { + "Input": "a train passes a man standing on a platform in 8 seconds and also crosses the platform which is 273 metres long in 20 seconds . the length of the train ( in metres ) is :", + "Output Program": [ + "n0 = 8.0\nn1 = 273.0\nn2 = 20.0\nt0 = n2 - n0\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "182" + ], + "split": "train" + }, + { + "Input": "robert is travelling on his cycle and has calculated to reach point a at 2 p . m . if he travels at 10 km / hr ; he will reach there at 12 noon if he travels at 15 km / hr . at what speed must he travel to reach a at 1 p . m . ?", + "Output Program": [ + "n0 = 2.0\nn1 = 10.0\nn2 = 12.0\nn3 = 15.0\nn4 = 1.0\nt0 = 1.0 + 4.0\nt1 = 1.0 / n1\nt2 = 1.0 / n3\nt3 = t1 - t2\nt4 = n0 / t3\nanswer = t4 / t0\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999996" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 700 metre long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 700.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "41.9966402687785" + ], + "split": "train" + }, + { + "Input": "a man walking at a constant rate of 5 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 15 miles per hour . the woman stops to wait for the man 2 minutes after passing him , while the man continues to walk at his constant rate . how many minutes must the woman wait until the man catches up ?", + "Output Program": [ + "n0 = 5.0\nn1 = 15.0\nn2 = 2.0\nt0 = n2 / 60.0\nt1 = n1 - n0\nt2 = t0 * t1\nt3 = t2 / n0\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a space shuttle orbits the earth at about 6 kilometers per second . this speed is equal to how many kilometers per hour ?", + "Output Program": [ + "n0 = 6.0\n\nanswer = n0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "21600" + ], + "split": "train" + }, + { + "Input": "if 3 people can do 3 times of a particular work in 3 days , then how many days would it take 6 people to do 6 times of that particular work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 3.0\nn3 = 6.0\nn4 = 6.0\nt0 = n3 / n3\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a river 3 m deep and 55 m wide is flowing at the rate of 1 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 3.0\nn1 = 55.0\nn2 = 1.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "2750" + ], + "split": "train" + }, + { + "Input": "a man can row at 5 kmph in still water . if the velocity of the current is 1 kmph and it takes him 1 hour to row to a place and come back . how far is that place .", + "Output Program": [ + "n0 = 5.0\nn1 = 1.0\nn2 = 1.0\nt0 = n0 - n1\nt1 = t0 * 3.0\nanswer = t1 / n0\nprint(answer)" + ], + "Output Answer": [ + "2.4" + ], + "split": "train" + }, + { + "Input": "30 men can do a work in 40 days . when should 20 men leave the work so that the entire work is completed in 40 days after they leave the work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 20.0\nn3 = 40.0\nt0 = n0 * n1\nt1 = n1 * n2\nt2 = t0 - t1\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "two trains each 475 m long are running in opposite directions on parallel tracks . their speeds are 55 km / hr and 40 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?", + "Output Program": [ + "n0 = 475.0\nn1 = 55.0\nn2 = 40.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 * 2.0\nt3 = t2 / t0\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "in a city where all streets run east - to - west , all avenues run north - to - south , and all intersections are right angles as shown below , jenn needs to walk from the corner of 1 st street and 1 st avenue to the corner of 6 th street and 3 rd avenue . if her friend amanda is sitting on a bench on 4 th street halfway between 1 st and 2 nd avenues , and jenn chooses her path randomly from any route that will allow her to walk exactly 7 blocks to her destination , what is the probability that jenn will walk down 4 th st . past amanda ?", + "Output Program": [ + "n0 = 1.0\nn1 = 1.0\nn2 = 6.0\nn3 = 3.0\nn4 = 4.0\nn5 = 1.0\nn6 = 2.0\nn7 = 7.0\nn8 = 4.0\nt0 = n3 * n7\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.14285714285714285" + ], + "split": "train" + }, + { + "Input": "length of a rectangular plot is 50 mtr more than its breadth . if the cost of fencin g the plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 50.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "a work which could be finished in 11 days was finished 3 days earlier after 10 more men joined . the number of men employed was ?", + "Output Program": [ + "n0 = 11.0\nn1 = 3.0\nn2 = 10.0\nt0 = n1 * 2.0\nt1 = n2 * t0\nt2 = n0 - t0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "two trains a and b are 125 m and 150 m long and are moving at one another at 54 km / hr and 36 km / hr respectively . arun is sitting on coach b 1 of train a . calculate the time taken by arun to completely cross train b .", + "Output Program": [ + "n0 = 125.0\nn1 = 150.0\nn2 = 54.0\nn3 = 36.0\nn4 = 1.0\nt0 = n0 + n1\nt1 = n2 * 1000.0\nt2 = n3 * 1000.0\nt3 = t1 / 3600.0\nt4 = t2 / 3600.0\nt5 = t3 + t4\nanswer = t0 / t5\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many hours t would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ?", + "Output Program": [ + "n0 = 15.0\nn1 = 7.0\nn2 = 4.0\nn3 = 8.0\nn4 = 15.0\nn5 = 11.0\nt0 = 1.0 / n2\nt1 = 1.0 / n5\nt2 = t0 + t1\nt3 = t2 / n0\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 320 m long platform ?", + "Output Program": [ + "n0 = 36.0\nn1 = 12.0\nn2 = 320.0\nt0 = n0 * 0.2778\nt1 = n1 * t0\nt2 = n2 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "43.997440204783615" + ], + "split": "train" + }, + { + "Input": "a train is walking at 6 / 7 of its usual speed , the train is 20 minutes too late . find its usual time to cover the journey .", + "Output Program": [ + "n0 = 6.0\nn1 = 7.0\nn2 = 20.0\nt0 = n0 / n1\nt1 = n2 * t0\nt2 = 1.0 - t0\nt3 = t1 / t2\nanswer = t3 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "1.9999999999999993" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 65 kmph and including stoppages , it is 48 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 65.0\nn1 = 48.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "15.692307692307693" + ], + "split": "train" + }, + { + "Input": "the inner circumference of a circular race track , 14 m wide is 440 m . find the radius of the outer circle .", + "Output Program": [ + "n0 = 14.0\nn1 = 440.0\nt0 = n1 / 3.141592653589793\nt1 = t0 / 2.0\nanswer = n0 + t1\nprint(answer)" + ], + "Output Answer": [ + "84.02817496043394" + ], + "split": "train" + }, + { + "Input": "amit and ananthu can do a work in 15 days and 90 days respectively . amit started the work and left after 3 days . ananthu took over and completed the work . in how many days was the total work completed ?", + "Output Program": [ + "n0 = 15.0\nn1 = 90.0\nn2 = 3.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 * n2\nt3 = 1.0 - t2\nt4 = t3 / t1\nanswer = t4 + n2\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "a and b can do a work in 2 days , b and c in 4 days and c and a in 6 days . in how many days will the work be completed , if all three of them work together ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nn2 = 6.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = t4 / 2.0\nanswer = 1.0 / t5\nprint(answer)" + ], + "Output Answer": [ + "2.181818181818182" + ], + "split": "train" + }, + { + "Input": "a trader sells 85 meters of cloth for $ 8925 at the profit of $ 15 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 85.0\nn1 = 8925.0\nn2 = 15.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 180 , how many hours overtime did he work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 40.0\nn2 = 180.0\nt0 = n0 * n1\nt1 = n0 * 2.0\nt2 = n2 - t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "cole drove from home to work at an average speed of 30 kmh . he then returned home at an average speed of 90 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 90.0\nn2 = 2.0\nt0 = n0 + n1\nt1 = n1 * n2\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a river 2 m deep and 45 m wide is flowing at the rate of 3 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 2.0\nn1 = 45.0\nn2 = 3.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "4500" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 13 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 68 km downstream .", + "Output Program": [ + "n0 = 13.0\nn1 = 4.0\nn2 = 68.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a cistern 7 m long and 4 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :", + "Output Program": [ + "n0 = 7.0\nn1 = 4.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "55.5" + ], + "split": "train" + }, + { + "Input": "a and b can together finish a work in 40 days . they worked together for 10 days and then b left . after another 12 days , a finished the remaining work . in how many days a alone can finish the job ?", + "Output Program": [ + "n0 = 40.0\nn1 = 10.0\nn2 = 12.0\nt0 = n0 * n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a train 120 meters long completely crosses a 480 meters long bridge in 55 seconds . what is the speed of the train is ?", + "Output Program": [ + "n0 = 120.0\nn1 = 480.0\nn2 = 55.0\nt0 = n0 + n1\nt1 = n2 / 3600.0\nt2 = t0 / 1000.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "39.27272727272727" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 170 metres long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 170.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "205" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 48 meters or 6 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 48.0\nn1 = 6.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "119" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 60 metres ?", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 60.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "11.999040076793857" + ], + "split": "train" + }, + { + "Input": "a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 3 liters per minute . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours . the capacity of the tank is ?", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nn2 = 8.0\nt0 = n2 * 60.0\nt1 = n0 * 60.0\nt2 = t0 / t1\nt3 = n1 * t0\nt4 = t2 - 1.0\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "4320.000000000001" + ], + "split": "train" + }, + { + "Input": "the length of the longest rod that can fit in a cubical room of 4 m side is ?", + "Output Program": [ + "import math\nn0 = 4.0\nt0 = n0**min(2.0, 5)\nt1 = math.sqrt(max(0, 2.0))\nt2 = n0 * t1\nt3 = t2**min(2.0, 5)\nt4 = t3 + t0\nanswer = math.sqrt(max(0, t4))\nprint(answer)" + ], + "Output Answer": [ + "6.92820323027551" + ], + "split": "train" + }, + { + "Input": "24 people can write 48 book in 6 days working 8 hour a day . then in how many day 192 can be written by 50 people ?", + "Output Program": [ + "n0 = 24.0\nn1 = 48.0\nn2 = 6.0\nn3 = 8.0\nn4 = 192.0\nn5 = 50.0\nt0 = n5 / 2.0\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "11.52" + ], + "split": "train" + }, + { + "Input": "roja and pooja start moving in the opposite directions from a pole . they are moving at the speeds of 4 km / hr and 3 km / hr respectively . after 4 hours what will be the distance between them ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nn2 = 4.0\nt0 = n0 + n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 54 kmph , find the speed of the stream ?", + "Output Program": [ + "n0 = 54.0\nt0 = n0 * 2.0\nt1 = t0 / 3.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "some ladies can do a piece of work in 12 days . two times the number of such ladies will do half of that work in :", + "Output Program": [ + "n0 = 12.0\n\nanswer = n0 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "harish can paint a wall in just 3 hours . however it takes 6 hours for ganpat to complete the same job of painting the wall . how long would it take for both of them to paint the wall , if both work together ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a , b and c , each working alone can complete a job in 6 , 8 and 12 days respectively . if all three of them work together to complete a job and earn $ 2340 , what will be b ' s share of the earnings ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 12.0\nn3 = 2340.0\nt0 = 1 / n1\nt1 = 1 / n0\nt2 = 1 / n2\nt3 = t1 + t0\nt4 = t3 + t2\nt5 = t0 / t4\nanswer = n3 * t5\nprint(answer)" + ], + "Output Answer": [ + "780.0000000000001" + ], + "split": "train" + }, + { + "Input": "a 280 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", + "Output Program": [ + "n0 = 280.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "220.03999999999996" + ], + "split": "train" + }, + { + "Input": "a train with a length of 100 meters , is traveling at a speed of 72 km / hr . the train enters a tunnel 2.9 km long . how many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges ?", + "Output Program": [ + "n0 = 100.0\nn1 = 72.0\nn2 = 2.9\nt0 = n0 / 1000.0\nt1 = n2 + t0\nt2 = t1 / n1\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "train" + }, + { + "Input": "a train 120 m long is running at a speed of 68 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?", + "Output Program": [ + "n0 = 120.0\nn1 = 68.0\nn2 = 8.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "7.199424046076314" + ], + "split": "train" + }, + { + "Input": "if a train , travelling at a speed of 160 kmph , crosses a pole in 9 sec , then the length of train is ?", + "Output Program": [ + "n0 = 160.0\nn1 = 9.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "400.032" + ], + "split": "train" + }, + { + "Input": "a person crosses a 720 m long street in 12 minutes . what is his speed in km per hour ?", + "Output Program": [ + "n0 = 720.0\nn1 = 12.0\nt0 = n0 / 1000.0\nt1 = n1 * 60.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.5999999999999996" + ], + "split": "train" + }, + { + "Input": "when tom works alone he chops 4 lb . salad in 3 minutes , and when tammy works alone she chops 3 lb . salad in 4 minutes . they start working together , and after some time finish chopping 65 lb . of salad . of those 80 lb . , the salad quantity chopped by tammy is what percent greater than the quantifying chopped by tom ? .", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nn2 = 3.0\nn3 = 4.0\nn4 = 65.0\nn5 = 80.0\nt0 = n1 / 2.0\nt1 = 2.0 / n1\nt2 = t0 - t1\nt3 = t2 / t1\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "125.00000000000003" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 10 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.666666666666667" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 90 km in the first hour and 80 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 90.0\nn1 = 80.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "85" + ], + "split": "train" + }, + { + "Input": "one pipe can fill a pool 1.25 times faster than a second pipe . when both pipes are opened , they fill the pool in 4 hours . how long would it take to fill the pool if only the slower pipe is used ?", + "Output Program": [ + "n0 = 1.25\nn1 = 4.0\nt0 = 2.0 + 3.0\nt1 = n0 + 1.0\nt2 = 1 / t0\nt3 = t2 / t1\nt4 = 1 / t3\nanswer = t4 / n0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "if 3 taps are opened together a tank is filled in 3 hrs . one of the taps alone can fill it in 10 hrs . and another in 15 hrs . in how many hours will the third tap fill it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 10.0\nn3 = 15.0\nt0 = n0 * n2\nt1 = t0 / n3\nt2 = n0 + t1\nt3 = n2 - t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "two trains a and b starting from two points and travelling in opposite directions , reach their destinations 9 hours and 4 hours respectively after meeting each other . if the train a travels at 110 kmph , find the rate at which the train b runs .", + "Output Program": [ + "import math\nn0 = 9.0\nn1 = 4.0\nn2 = 110.0\nt0 = n0 / n1\nt1 = math.sqrt(max(0, t0))\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "165" + ], + "split": "train" + }, + { + "Input": "the length of a train and that of a platform are equal . if with a speed of 90 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is :", + "Output Program": [ + "n0 = 90.0\nt0 = 60.0 / 1.0\nt1 = n0 * 1000.0\nt2 = t1 / t0\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "750" + ], + "split": "train" + }, + { + "Input": "if the perimeter of a rectangular garden is 680 m , its length when its breadth is 82 m is ?", + "Output Program": [ + "n0 = 680.0\nn1 = 82.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "258" + ], + "split": "train" + }, + { + "Input": "if in a cricket one day match , there were no wide balls , no wides , no extras and no overthrows . what is the maximum number of runs that a batsman can score in an ideal case scenario ?", + "Output Program": [ + "t0 = 1.0 + 10.0\nt1 = 1.0 + 4.0\nt2 = t0 * 3.0\nt3 = t1 * 10.0\nt4 = t2 + 3.0\nt5 = t3 - 1.0\nt6 = t2 * t5\nanswer = t4 + t6\nprint(answer)" + ], + "Output Answer": [ + "1653" + ], + "split": "train" + }, + { + "Input": "6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days x do they need to finish the same job ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 3.0\nn3 = 4.0\nt0 = n0 + n3\nt1 = n0 * n1\nt2 = n0 * n2\nt3 = t1 - t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "tim and \u00e9 lan are 90 miles away from one another . they are starting to move towards each other simultaneously , tim at a speed of 10 mph and \u00e9 lan at a speed of 5 mph . if every hour they double their speeds , what is the distance that tim will pass until he meets \u00e9 lan ?", + "Output Program": [ + "n0 = 90.0\nn1 = 10.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a train requires 10 seconds to pass a pole while it requires 35 seconds to cross a stationary train which is 500 mtrs long . find the speed of the train .", + "Output Program": [ + "n0 = 10.0\nn1 = 35.0\nn2 = 500.0\nt0 = n1 - n0\nt1 = n2 / t0\nanswer = t1 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.6 cm . what is the distance covered by the wheel in making 750 resolutions ?", + "Output Program": [ + "n0 = 22.6\nn1 = 750.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "1065.4285714285713" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 140 m length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 72.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12.4990000799936" + ], + "split": "train" + }, + { + "Input": "a fill pipe can fill 1 / 2 of cistern in 25 minutes . in how many minutes , it can fill 1 / 2 of the cistern ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 25.0\nn3 = 1.0\nn4 = 2.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "the moon revolves around the earth at a speed of approximately 1.05 kilometers per second . this approximate speed is how many kilometers per hour ?", + "Output Program": [ + "n0 = 1.05\n\nanswer = n0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "3780" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 100 km in the first hour and 60 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 100.0\nn1 = 60.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "a runs twice as fast as b and gives b a start of 71 m . how long should the racecourse be so that a and b might reach in the same time ?", + "Output Program": [ + "n0 = 71.0\n\nanswer = n0 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "142" + ], + "split": "train" + }, + { + "Input": "walking at 70 % of his usual speed a man takes 24 minutes more to cover a distance . what is his usual time to cover this distance ?", + "Output Program": [ + "n0 = 70.0\nn1 = 24.0\nt0 = n0 / 100.0\nt1 = 1.0 / t0\nt2 = t1 - 1.0\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "55.99999999999999" + ], + "split": "train" + }, + { + "Input": "dan \u2019 s car gets 32 miles per gallon . if gas costs $ 4 / gallon , then how many miles can dan \u2019 s car go on $ 42 of gas ?", + "Output Program": [ + "n0 = 32.0\nn1 = 4.0\nn2 = 42.0\nt0 = n0 * n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "336" + ], + "split": "train" + }, + { + "Input": "aarti can do a piece of work in 8 days . in how many days will she complete three time of work of same type ?", + "Output Program": [ + "n0 = 8.0\n\nanswer = n0 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "if 20 men can build a wall 112 metres long in 6 days , what length of a similar wall can be built by 10 men in 3 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 112.0\nn2 = 6.0\nn3 = 10.0\nn4 = 3.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "a alone can finish a work in 10 days which b alone can finish in 15 days . if they work together and finish it , then out of a total wages of rs . 3200 , a will get :", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 3200.0\nt0 = n1 * 2.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = t1 / t3\nanswer = n2 * t4\nprint(answer)" + ], + "Output Answer": [ + "1920" + ], + "split": "train" + }, + { + "Input": "triathlete dan runs along a 3 - mile stretch of river and then swims back along the same route . if dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour , what is his average rate for the entire trip in miles per minute ?", + "Output Program": [ + "n0 = 3.0\nn1 = 10.0\nn2 = 6.0\nt0 = n0 + n0\nt1 = n0 / n2\nt2 = n0 / n1\nt3 = t1 * 60.0\nt4 = t2 * 60.0\nt5 = t3 + t4\nanswer = t0 / t5\nprint(answer)" + ], + "Output Answer": [ + "0.125" + ], + "split": "train" + }, + { + "Input": "i flew my tiny seaplane to visit my mother . on the flight up , i flew at 140 mph . on the way home , i flew 88 mph . what was my average speed for the trip ?", + "Output Program": [ + "n0 = 140.0\nn1 = 88.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "114" + ], + "split": "train" + }, + { + "Input": "a cistern is fille in 8 hours and it takes 12 hours when there is a leak in its bottom . if the cistern is full , in what time shall the leak empty it ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "23.999999999999996" + ], + "split": "train" + }, + { + "Input": "if 12 men do a work in 80 days , in how many days will 16 men do it ?", + "Output Program": [ + "n0 = 12.0\nn1 = 80.0\nn2 = 16.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a , b and c completed a piece of work , a worked for 16 days , b for 9 days and c for 4 days . their daily wages were in the ratio of 3 : 4 : 5 . find the daily wages of c , if their total earning was rs . 1480 ?", + "Output Program": [ + "n0 = 16.0\nn1 = 9.0\nn2 = 4.0\nn3 = 3.0\nn4 = 4.0\nn5 = 5.0\nn6 = 1480.0\nt0 = n0 * n3\nt1 = n1 * n2\nt2 = n2 * n5\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = n6 / t4\nanswer = n5 * t5\nprint(answer)" + ], + "Output Answer": [ + "71.15384615384615" + ], + "split": "train" + }, + { + "Input": "find the area , diameter = 12 m .", + "Output Program": [ + "import math\nn0 = 12.0\nt0 = n0 / 2.0\nanswer = math.pi * t0**2\nprint(answer)" + ], + "Output Answer": [ + "113.09733552923255" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of $ 300 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 300.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "6187.5" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 28 km and upstream 12 km taking 2 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 28.0\nn1 = 12.0\nn2 = 2.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a train 160 m long running at 72 kmph crosses a platform in 25 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 160.0\nn1 = 72.0\nn2 = 25.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "340.04" + ], + "split": "train" + }, + { + "Input": "how many bricks , each measuring 25 cm x 11 cm x 6 cm , will be needed to build a wall of 2 m x 3 m x 2 cm ?", + "Output Program": [ + "n0 = 25.0\nn1 = 11.0\nn2 = 6.0\nn3 = 2.0\nn4 = 3.0\nn5 = 2.0\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "72.72727272727273" + ], + "split": "train" + }, + { + "Input": "75 boys can complete a work in 26 days . how many men need to complete twice the work in 20 days", + "Output Program": [ + "n0 = 75.0\nn1 = 26.0\nn2 = 20.0\nt0 = n1 * 2.0\nt1 = n0 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "195" + ], + "split": "train" + }, + { + "Input": "how many shots of 1 cm radius can be prepared from a sphere of 2 cm radius ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nt0 = n1**min(2.0, 5)\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "john completes a piece of work in 320 days , rose completes the same work in 480 days . if both of them work together , then the number of days required to complete the work is ?", + "Output Program": [ + "n0 = 320.0\nn1 = 480.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "191.99999999999997" + ], + "split": "train" + }, + { + "Input": "a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1.2 cm when a man gets on it . the mass of man is", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 1.2\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "72.00000000000001" + ], + "split": "train" + }, + { + "Input": "at a speed of 50 miles per hour , a certain car uses 1 gallon of gasoline every 30 miles . if the car starts with a full 20 gallon tank of gasoline and travels for 5 hours at 50 miles per hour , the amount of gasoline used would be what fraction of a full tank ?", + "Output Program": [ + "n0 = 50.0\nn1 = 1.0\nn2 = 30.0\nn3 = 20.0\nn4 = 5.0\nn5 = 50.0\nt0 = n0 * n4\nt1 = t0 / n2\nanswer = t1 / n3\nprint(answer)" + ], + "Output Answer": [ + "0.4166666666666667" + ], + "split": "train" + }, + { + "Input": "two trains of length 100 m and 200 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 100.0\nn1 = 200.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "14.998800095992321" + ], + "split": "train" + }, + { + "Input": "a train 180 m long is running with a speed of 55 km / hr . in what time will it pass a man who is running at 7 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 180.0\nn1 = 55.0\nn2 = 7.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "10.45077684107852" + ], + "split": "train" + }, + { + "Input": "sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 396 per week . how much does she earn in dollars per hour ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 396.0\nt0 = n0 * 3.0\nt1 = n1 * 2.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "36 men can complete a piece of work in 18 days . in how many days will 54 men complete the same work ?", + "Output Program": [ + "n0 = 36.0\nn1 = 18.0\nn2 = 54.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "working at a constant rate , p can finish a job in 3 hours . q , also working at a constant rate , can finish the same job in 9 hours . if they work together for 2 hours , how many more minutes will it take p to finish the job , working alone at his constant rate ?", + "Output Program": [ + "n0 = 3.0\nn1 = 9.0\nn2 = 2.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nt3 = t2 * n2\nt4 = 1.0 - t3\nt5 = t4 / t0\nanswer = t5 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "20.000000000000007" + ], + "split": "train" + }, + { + "Input": "from an island , it is possible to reach the mainland by either ferry p or ferry q . ferry p travels for 3 hours at 6 kilometers per hour , while ferry q takes a route that is three times longer . if ferry p is slower than ferry q by 3 kilometers per hour , how many hours longer is the journey of ferry q compared with the journey of ferry p ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nn2 = 3.0\nt0 = n1 + n2\nt1 = n0 * n1\nt2 = t1 * 3.0\nt3 = t2 / t0\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5 m and width is 4.75 m . what is the cost of paying the floor by slabs at the rate of rs . 900 per sq . metre .", + "Output Program": [ + "n0 = 5.0\nn1 = 4.75\nn2 = 900.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "21375" + ], + "split": "train" + }, + { + "Input": "the average temperature for tuesday , wednesday and thursday was 45 \u00b0 c . the average temperature for wednesday , thursday and friday was 50 \u00b0 c . if the temperature on friday be 53 \u00b0 c , what was the temperature on tuesday ?", + "Output Program": [ + "n0 = 45.0\nn1 = 50.0\nn2 = 53.0\nt0 = n0 * 3.0\nt1 = n1 * 3.0\nt2 = t1 - n2\nanswer = t0 - t2\nprint(answer)" + ], + "Output Answer": [ + "38" + ], + "split": "train" + }, + { + "Input": "find l . c . m of 852 and 1491", + "Output Program": [ + "n0 = 852.0\nn1 = 1491.0\nt0 = 3.0 + 4.0\nt1 = n0 / 2.0\nt2 = 2.0**min(2.0, 5)\nt3 = t1 / 2.0\nt4 = t2 * 3.0\nt5 = t3 / 3.0\nt6 = t5 * t4\nanswer = t0 * t6\nprint(answer)" + ], + "Output Answer": [ + "5964" + ], + "split": "train" + }, + { + "Input": "a work as fast as b . if b can complete a work in 12 days independently , the number of days in which a and b can together finish the work in ?", + "Output Program": [ + "n0 = 12.0\nt0 = 1 / n0\nt1 = t0 * 2.0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "2 a 33 + b 9 ____ 99 if a and b represent positive single digits in the correctly worked computation above , what is the value of a + 3 b ?", + "Output Program": [ + "n0 = 2.0\nn1 = 33.0\nn2 = 9.0\nn3 = 99.0\nn4 = 3.0\n\nanswer = n0 + n2\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "a metal company ' s old machine makes bolts at a constant rate of 100 bolts per hour . the company ' s new machine makes bolts at a constant rate of 150 bolts per hour . if both machines start at the same time and continue making bolts simultaneously , how many minutes will it take the two machines to make a total of 450 bolts ?", + "Output Program": [ + "n0 = 100.0\nn1 = 150.0\nn2 = 450.0\nt0 = n0 / 60.0\nt1 = n1 / 60.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "107.99999999999999" + ], + "split": "train" + }, + { + "Input": "a train 275 m long , running with a speed of 90 km / hr will pass a tree in", + "Output Program": [ + "n0 = 275.0\nn1 = 90.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 12 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 12.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "a , b , c hired a car for rs . 520 and used it for 7 , 8 and 11 hours respectively . hire charges paid by b were ?", + "Output Program": [ + "n0 = 520.0\nn1 = 7.0\nn2 = 8.0\nn3 = 11.0\nt0 = n1 + n2\nt1 = n3 + t0\nt2 = n2 / t1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "jhon works for 60 days . for the day he is present he is paid 7.00 / - and for the day he is absent he is paid 3.00 / - per day . if he is paid 170 / - . how many days he is present .", + "Output Program": [ + "n0 = 60.0\nn1 = 7.0\nn2 = 3.0\nn3 = 170.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = n3 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m , the cost of fencing it at 50 ps per meter is ?", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 2.0\nn2 = 3750.0\nn3 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nt2 = math.sqrt(max(0, t1))\nt3 = n2 / t2\nt4 = 2 * (t3 + t2) # perimetere of rectangle\nt5 = n3 * t4\nanswer = t5 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "125" + ], + "split": "train" + }, + { + "Input": "a swimming pool 9 m wide and 12 m long is 1 m deep on the shallow side and 4 m deep on the deeper side . its volume is :", + "Output Program": [ + "n0 = 9.0\nn1 = 12.0\nn2 = 1.0\nn3 = 4.0\nt0 = n1 * (n2 + n3) / 2 # quadrilateral area\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "270" + ], + "split": "train" + }, + { + "Input": "the time taken by mr . dhoni to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 72 kmph , find the speed of the stream ?", + "Output Program": [ + "n0 = 72.0\nt0 = n0 * 2.0\nt1 = t0 / 3.0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "the reciprocal of the hcf and lcm of two are 1 / 14 and 1 / 312 . if one of the number is 24 then other no . is", + "Output Program": [ + "n0 = 1.0\nn1 = 14.0\nn2 = 1.0\nn3 = 312.0\nn4 = 24.0\nt0 = n1 * n3\nanswer = t0 / n4\nprint(answer)" + ], + "Output Answer": [ + "182" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 kmph and crosses a 280 m long platform in 26 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 280.0\nn2 = 26.0\nt0 = n0 * 0.2778\nt1 = n1 / t0\nt2 = n2 - t1\nanswer = t0 * t2\nprint(answer)" + ], + "Output Answer": [ + "240.0416" + ], + "split": "train" + }, + { + "Input": "two cars start at the same time from opposite ends of a highway that is 500 miles long . one car is riding at 40 mph and the second car is riding at 60 mph . how long after they begin will they meet ?", + "Output Program": [ + "n0 = 500.0\nn1 = 40.0\nn2 = 60.0\nt0 = n1 + n2\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "train a leaves the station traveling at 30 miles per hour . two hours later train \u0432 leaves the same station traveling in the same direction at 38 miles per hour . how many miles from the station was train a overtaken by train b ?", + "Output Program": [ + "n0 = 30.0\nn1 = 38.0\nt0 = n0 * 2.0\nt1 = n1 - n0\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "285" + ], + "split": "train" + }, + { + "Input": "a walks at 10 kmph and 7 hours after his start , b cycles after him at 20 kmph . how far from the start does b catch up with a ?", + "Output Program": [ + "n0 = 10.0\nn1 = 7.0\nn2 = 20.0\n\nanswer = n1 * n2\nprint(answer)" + ], + "Output Answer": [ + "140" + ], + "split": "train" + }, + { + "Input": "a thief is spotted by a policeman from a distance of 175 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ?", + "Output Program": [ + "n0 = 175.0\nn1 = 8.0\nn2 = 10.0\nt0 = n0 * n1\nt1 = n2 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "700" + ], + "split": "train" + }, + { + "Input": "if 10 typists can type 20 letters in 20 minutes , then how many letters will 40 typists working at the same rate complete in 1 hour ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 20.0\nn3 = 40.0\nn4 = 1.0\nt0 = n1 * 3.0\nt1 = t0 / n0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "john and steve are speed walkers in a race . john is 16 meters behind steve when he begins his final push . john blazes to the finish at a pace of 4.2 m / s , while steve maintains a blistering 3.7 m / s speed . if john finishes the race 2 meters ahead of steve , how long was john \u2019 s final push ?", + "Output Program": [ + "n0 = 16.0\nn1 = 4.2\nn2 = 3.7\nn3 = 2.0\nt0 = n0 + n3\nt1 = n1 - n2\nt2 = n2 * t0\nt3 = t2 / t1\nt4 = t0 + t3\nanswer = t4 / n1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "dan \u2019 s car gets 32 miles per gallon . if gas costs $ 4 / gallon , then how many miles can dan \u2019 s car go on $ 58 of gas ?", + "Output Program": [ + "n0 = 32.0\nn1 = 4.0\nn2 = 58.0\nt0 = n0 * n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "464" + ], + "split": "train" + }, + { + "Input": "a , b and c completed a piece of work , a worked for 6 days , b for 9 days and c for 4 days . their daily wages were in the ratio of 3 : 4 : 5 . find the daily wages of c , if their total earning was rs . 1406 ?", + "Output Program": [ + "n0 = 6.0\nn1 = 9.0\nn2 = 4.0\nn3 = 3.0\nn4 = 4.0\nn5 = 5.0\nn6 = 1406.0\nt0 = n0 * n3\nt1 = n1 * n2\nt2 = n2 * n5\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = n6 / t4\nanswer = n5 * t5\nprint(answer)" + ], + "Output Answer": [ + "95" + ], + "split": "train" + }, + { + "Input": "some persons can do a piece of work in 8 days . two times the number of these people will do half of that work in ?", + "Output Program": [ + "n0 = 8.0\nt0 = 1.0 / 2.0\nt1 = n0 * t0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "p and q can complete a work in 10 days and 6 days respectively . p alone started the work and q joined him after 2 days till the completion of the work . how long did the work last ?", + "Output Program": [ + "n0 = 10.0\nn1 = 6.0\nn2 = 2.0\nt0 = n2 / n0\nt1 = 1 / n0\nt2 = 1 / n1\nt3 = t1 + t2\nt4 = 1.0 - t0\nt5 = t4 / t3\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a 360 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", + "Output Program": [ + "n0 = 360.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "140.03999999999996" + ], + "split": "train" + }, + { + "Input": "the ratio of efficiency of a is to c is 5 : 3 . the ratio of no . of days taken by b is to c is 2 : 3 . a takes 6 days less than c , when a and c completes the work individually . b and c left the work after 2 days . the no of days taken by a to finish the remaining work ?", + "Output Program": [ + "n0 = 5.0\nn1 = 3.0\nn2 = 2.0\nn3 = 3.0\nn4 = 6.0\nn5 = 2.0\nt0 = n0 - n1\nt1 = n4 / t0\nt2 = n1 * t1\nt3 = n0 * t1\nt4 = t3 / n1\nt5 = 1.0 / t3\nt6 = n2 * t4\nt7 = 1.0 / t6\nt8 = t7 + t5\nt9 = n2 * t8\nt10 = 1.0 - t9\nanswer = t2 * t10\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is traveling at 70 kmph observes that a goods train , traveling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed . ?", + "Output Program": [ + "n0 = 70.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "after an ice began to melt out from the freezer , in the first hour lost 3 / 4 , in the second hour lost 3 / 4 of its remaining . if after two hours , the volume is 0.2 cubic inches , what is the original volume of the cubic ice , in cubic inches ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 3.0\nn3 = 4.0\nn4 = 0.2\nt0 = n4 / 0.25\nanswer = t0 / 0.25\nprint(answer)" + ], + "Output Answer": [ + "3.2" + ], + "split": "train" + }, + { + "Input": "a rectangular plot measuring 90 meters by 50 meters is to be enclosed by wire fencing . if the poles of the fence are kept 5 meters apart . how many poles will be needed ?", + "Output Program": [ + "n0 = 90.0\nn1 = 50.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = t0 * 2.0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "56" + ], + "split": "train" + }, + { + "Input": "at a certain resort , each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants . the 3 restaurants are the family buffet , the dining room , and the snack bar . exactly 19 employees are trained to work in the family buffet , 16 are trained to work in the dining room , and 12 are trained to work in the snack bar . if 4 employees are trained to work in exactly 2 restaurants , how many employees are trained to work in all 3 restaurants ?", + "Output Program": [ + "n0 = 39.0\nn1 = 1.0\nn2 = 3.0\nn3 = 3.0\nn4 = 19.0\nn5 = 16.0\nn6 = 12.0\nn7 = 4.0\nn8 = 2.0\nn9 = 3.0\nt0 = n4 + n5\nt1 = n6 + t0\nt2 = t1 - n7\nt3 = t2 - n0\nanswer = t3 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "30 binders can bind 1400 books in 21 days . how many binders will be required to bind 1600 books in 20 days ?", + "Output Program": [ + "n0 = 30.0\nn1 = 1400.0\nn2 = 21.0\nn3 = 1600.0\nn4 = 20.0\nt0 = n3 / n4\nt1 = n0 * n2\nt2 = n1 / t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "the moon revolves around the earth at a speed of approximately 0.9 kilometers per second . this approximate speed is how many kilometers per hour ?", + "Output Program": [ + "n0 = 0.9\n\nanswer = n0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "3240" + ], + "split": "train" + }, + { + "Input": "a boy is travelling from his home to school at 4 km / hr and reached 7 min late . next day he traveled at 8 km / hr and reached 8 min early . distance between home and school ?", + "Output Program": [ + "n0 = 4.0\nn1 = 7.0\nn2 = 8.0\nn3 = 8.0\nt0 = n1 / 60.0\nt1 = n3 / 60.0\nt2 = 1.0 / n2\nt3 = t0 + t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "how many bricks each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall 8 m x 6 m x 22.5 m", + "Output Program": [ + "n0 = 25.0\nn1 = 11.25\nn2 = 6.0\nn3 = 8.0\nn4 = 6.0\nn5 = 22.5\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = n5 * t0\nt3 = n2 * t1\nt4 = t3 / 100.0\nt5 = t4 / 100.0\nanswer = t2 / t5\nprint(answer)" + ], + "Output Answer": [ + "6400" + ], + "split": "train" + }, + { + "Input": "two trains , each 100 m long , moving in opposite directions , cross other in 8 sec . if one is moving twice as fast the other , then the speed of the faster train is ? a . 30 km / hr b . 45 km / hr", + "Output Program": [ + "n0 = 100.0\nn1 = 8.0\nn2 = 30.0\nn3 = 45.0\nt0 = n0 + n0\nt1 = t0 / n1\nt2 = t1 / 3.0\nt3 = t2 * 2.0\nanswer = t3 / 0.2778\nprint(answer)" + ], + "Output Answer": [ + "59.99520038396929" + ], + "split": "train" + }, + { + "Input": "how many bricks each measuring 30 cm x 12 cm x 10 cm , will be needed to build a wall 6 m x 4 m x 20.5 m", + "Output Program": [ + "n0 = 30.0\nn1 = 12.0\nn2 = 10.0\nn3 = 6.0\nn4 = 4.0\nn5 = 20.5\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = n5 * t0\nt3 = n2 * t1\nt4 = t3 / 100.0\nt5 = t4 / 100.0\nanswer = t2 / t5\nprint(answer)" + ], + "Output Answer": [ + "1366.6666666666667" + ], + "split": "train" + }, + { + "Input": "a , b and c can do a work in 6 , 8 and 12 days respectively doing the work together and get a payment of rs . 1800 . what is b \u2019 s share ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 12.0\nn3 = 1800.0\nt0 = 1 / n1\nt1 = 1 / n0\nt2 = 1 / n2\nt3 = t1 + t0\nt4 = t3 + t2\nt5 = t0 / t4\nanswer = n3 * t5\nprint(answer)" + ], + "Output Answer": [ + "600.0000000000001" + ], + "split": "train" + }, + { + "Input": "a worker makes a toy in every 2 h . if he works for 100 h , then how many toys will he make ?", + "Output Program": [ + "n0 = 2.0\nn1 = 100.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "on a map the distance between two mountains is 310 inches . the actual distance between the mountains is 136 km . ram is camped at a location that on the map is 34 inch from the base of the mountain . how many km is he from the base of the mountain ?", + "Output Program": [ + "n0 = 310.0\nn1 = 136.0\nn2 = 34.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "14.916129032258064" + ], + "split": "train" + }, + { + "Input": "brenda and sally run in opposite direction on a circular track , starting at diametrically opposite points . they first meet after brenda has run 100 meters . they next meet after sally has run 100 meters past their first meeting point . each girl runs at a constant speed . what is the length of the track in meters ?", + "Output Program": [ + "n0 = 100.0\nn1 = 100.0\nt0 = n0 * 2.0\nanswer = n1 + t0\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "a river 3 m deep and 32 m wide is flowing at the rate of 2 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 3.0\nn1 = 32.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "3200" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 3 days , b and c in 4 days , c and a in 6 days . how long will c take to do it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 6.0\nt0 = n0 * 3.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t5 / 2.0\nt7 = t6 - t1\nanswer = t0 / t7\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "the current in a river is 3 mph . a boat can travel 21 mph in still water . how far up the river can the boat travel if the round trip is to take 10 hours ?", + "Output Program": [ + "n0 = 3.0\nn1 = 21.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = n1 - n0\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n2 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "102.85714285714286" + ], + "split": "train" + }, + { + "Input": "if the perimeter of a rectangular garden is 1200 m , its length when its breadth is 240 m is ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 240.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "360" + ], + "split": "train" + }, + { + "Input": "a train 240 m long passed a pole in 24 sec . how long will it take to pass a platform 650 m long ? a . 65", + "Output Program": [ + "n0 = 240.0\nn1 = 24.0\nn2 = 650.0\nn3 = 65.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "89" + ], + "split": "train" + }, + { + "Input": "how many cubes of 25 cm edge can be put in a cubical box of 1 m edge .", + "Output Program": [ + "n0 = 25.0\nn1 = 1.0\nt0 = n0 / 100.0\nt1 = n1**3\nt2 = t0**3\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "64" + ], + "split": "train" + }, + { + "Input": "an apple orchard grows red and green apples . on the first day of harvest , 496 apples are collected . there are 3 times as many red apples as there are green apples . how many green apples were harvested ?", + "Output Program": [ + "n0 = 496.0\nn1 = 3.0\nt0 = n1 + 1.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "124" + ], + "split": "train" + }, + { + "Input": "before leaving home for the town of madison , pete checks a map which shows that madison is 5 inches from his current location , gardensquare . pete arrives in madison 3.5 hours later and drove at an average speed of 60 miles per hour . at what scale , in inches per mile , is the map drawn ?", + "Output Program": [ + "n0 = 5.0\nn1 = 3.5\nn2 = 60.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 1.0 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.023809523809523808" + ], + "split": "train" + }, + { + "Input": "a train 250 m long running at 72 kmph crosses a platform in 20 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 250.0\nn1 = 72.0\nn2 = 20.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "150.03199999999998" + ], + "split": "train" + }, + { + "Input": "pipe p can fill a tank in 6 hours , pipe q in 12 hours and pipe r in 24 hours . if all the pipes are open , in how many hours will the tank be filled ?", + "Output Program": [ + "n0 = 6.0\nn1 = 12.0\nn2 = 24.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "3.4285714285714284" + ], + "split": "train" + }, + { + "Input": "a man travelled from the village to the post - office at the rate of 25 kmph and walked back at the rate of 4 kmph . if the whole journey took 5 hours 48 minutes , find the distance of the post - office from the village", + "Output Program": [ + "n0 = 25.0\nn1 = 4.0\nn2 = 5.0\nn3 = 48.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = t0 / n2\nt3 = t1 * 2.0\nt4 = t3 / t0\nt5 = t2 * t4\nanswer = t5 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "19.999999999999996" + ], + "split": "train" + }, + { + "Input": "one man traveled a distance of 61 km in 9 hrs . he traveled partly on footat 4 km / hr and partly on bicycle ta 9 km / hr . the distance traveled on foot is ?", + "Output Program": [ + "n0 = 61.0\nn1 = 9.0\nn2 = 4.0\nn3 = 9.0\nt0 = n1 + n1\nt1 = t0 - n2\nanswer = t1 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a train 200 m long is running at a speed of 68 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?", + "Output Program": [ + "n0 = 200.0\nn1 = 68.0\nn2 = 8.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "11.999040076793857" + ], + "split": "train" + }, + { + "Input": "working at a constant rate , p can finish a job in 4 hours . q , also working at a constant rate , can finish the same job in 20 hours . if they work together for 3 hours , how many more minutes will it take p to finish the job , working alone at his constant rate ?", + "Output Program": [ + "n0 = 4.0\nn1 = 20.0\nn2 = 3.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nt3 = t2 * n2\nt4 = 1.0 - t3\nt5 = t4 / t0\nanswer = t5 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "24.00000000000002" + ], + "split": "train" + }, + { + "Input": "two boys started running simultaneously around a circular track of length 4800 m from the same point at speeds of 60 km / hr and 100 km / hr . when will they meet for the first time any where on the track if they are moving in opposite directions ?", + "Output Program": [ + "n0 = 4800.0\nn1 = 60.0\nn2 = 100.0\nt0 = n1 * 0.2778\nt1 = n2 * 0.2778\nt2 = t0 + t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "107.99136069114472" + ], + "split": "train" + }, + { + "Input": "a contractor is engaged for 30 days on the condition that he receives rs . 25 for each dayhe works & is fined rs . 7.50 for each day is absent . he gets rs . 425 in all . for how many dayswas he absent ?", + "Output Program": [ + "n0 = 30.0\nn1 = 25.0\nn2 = 7.5\nn3 = 425.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = n3 + t1\nt3 = t2 / t0\nanswer = n0 - t3\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "in what time will two trains cross each other completely , which are running on the same parallel lines in opposite directions , each 100 m in length both trains running with a speed of 80 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 80.0\nt0 = n0 + n0\nt1 = n1 + n1\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.499640028797696" + ], + "split": "train" + }, + { + "Input": "in a building there are 5 rooms . each having a equal area . the length of the room is 4 m and breadht is 5 m . the height of the rooms are 2 m . if 17 bricks are needed to make a square meter then how many bricks are needed to make the floor of a particular room ?", + "Output Program": [ + "n0 = 5.0\nn1 = 4.0\nn2 = 5.0\nn3 = 2.0\nn4 = 17.0\nt0 = n0 * n1\nanswer = n4 * t0\nprint(answer)" + ], + "Output Answer": [ + "340" + ], + "split": "train" + }, + { + "Input": "a car takes 12 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 4 th of the previous time ?", + "Output Program": [ + "n0 = 12.0\nn1 = 540.0\nn2 = 3.0\nn3 = 4.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 6 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "29.999999999999982" + ], + "split": "train" + }, + { + "Input": "a person travels equal distances with speeds of 4 km / hr , 8 km / hr , 12 km / hr . and takes a total time of 11 minutes . find the total distance ?", + "Output Program": [ + "n0 = 4.0\nn1 = 8.0\nn2 = 12.0\nn3 = 11.0\nt0 = n3 / 60.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = 1.0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t0 / t5\nt7 = t6 * 3.0\nanswer = t7 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "1200" + ], + "split": "train" + }, + { + "Input": "a man drives at a speed of 40 miles / hr . his wife left 30 mins . late with 50 miles / hr speed . when will they meet ?", + "Output Program": [ + "n0 = 40.0\nn1 = 30.0\nn2 = 50.0\nt0 = n1 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 78 kmph , find the speed of the stream ?", + "Output Program": [ + "n0 = 78.0\nt0 = n0 * 2.0\nt1 = t0 / 3.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "angelina walked 960 meters from her home to the grocery at a constant speed . she then walked 480 meters to the gym at double the speed . she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ?", + "Output Program": [ + "n0 = 960.0\nn1 = 480.0\nn2 = 40.0\nt0 = n1 / 2.0\nt1 = n0 - t0\nt2 = t1 / n2\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 72 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 150.0\nn2 = 72.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12.4990000799936" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 10 cm long , and the distance between them is 10 cm .", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 10.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "the consumption of diesel per hour of a bus varies directly as square of its speed . when the bus is travelling at 70 kmph its consumption is 1 litre per hour . if each litre costs $ 70 and other expenses per hous is $ 70 , then what would be the minimum expenditure required to cover a distance of 700 km ?", + "Output Program": [ + "n0 = 70.0\nn1 = 1.0\nn2 = 70.0\nn3 = 70.0\nn4 = 700.0\nt0 = n4 / n0\nt1 = n2 * t0\nt2 = n3 * t0\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "1400" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 80 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", + "Output Program": [ + "n0 = 2.0\nn1 = 1.0\nn2 = 1.0\nn3 = 80.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "76.59574468085106" + ], + "split": "train" + }, + { + "Input": "the length of the longest tape in cm which can be used to measure exactly , the length 6 m ; 5 m ; and 12 m is :", + "Output Program": [ + "n0 = 6.0\nn1 = 5.0\nn2 = 12.0\nt0 = 2.0 * 2.0\nt1 = n1 * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 16 km / hr in still water . if the rate of stream is 5 km / hr , then find the time taken by the boat to cover distance of 84 km downstream .", + "Output Program": [ + "n0 = 16.0\nn1 = 5.0\nn2 = 84.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 600 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 600.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "35.99712023038157" + ], + "split": "train" + }, + { + "Input": "nicky and cristina are running a 200 meter race . since cristina is faster than nicky , she gives him a 12 second head start . if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ?", + "Output Program": [ + "n0 = 200.0\nn1 = 12.0\nn2 = 5.0\nn3 = 3.0\nt0 = n1 * n3\nt1 = n2 - n3\nt2 = t0 / n3\nt3 = t0 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a man rows his boat 72 km downstream and 30 km upstream , taking 3 hours each time . find the speed of the stream ?", + "Output Program": [ + "n0 = 72.0\nn1 = 30.0\nn2 = 3.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "walking at 5 / 6 th of its usual speed a cab is 6 mnts late . find its usual time to cover the journey ?", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 6.0\n\nanswer = n0 * n2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a bullet train 200 m long is running with a speed of 69 kmph . in what time will it pass a man who is running at 3 kmph in the direction opposite to that in which the bullet train is going ?", + "Output Program": [ + "n0 = 200.0\nn1 = 69.0\nn2 = 3.0\nt0 = n1 + n2\nt1 = t0 * 1000.0\nt2 = t1 / 3600.0\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "in what time will a railway train 90 m long moving at the rate of 36 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 90.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "8.999280057595392" + ], + "split": "train" + }, + { + "Input": "a can run 160 metre in 28 seconds and b in 32 seconds . by what distance a beat b ?", + "Output Program": [ + "n0 = 160.0\nn1 = 28.0\nn2 = 32.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "cole drove from home to work at an average speed of 75 kmh . he then returned home at an average speed of 105 kmh . if the round trip took a total of 4 hours , how many minutes did it take cole to drive to work ?", + "Output Program": [ + "n0 = 75.0\nn1 = 105.0\nn2 = 4.0\nt0 = n0 + n1\nt1 = n1 * n2\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "140" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 12 minutes is :", + "Output Program": [ + "n0 = 20.0\nn1 = 5.0\nn2 = 12.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a boat running downstream covers a distance of 12 km in 2 hours while for covering the same distance upstream , it takes 3 hours . what is the speed of the boat in still water ?", + "Output Program": [ + "n0 = 12.0\nn1 = 2.0\nn2 = 3.0\nt0 = n0 / n1\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "tim came second in math . when his mother asked him how much he had scored , he answered that he got the sum of the first 8 even numbers . his mother immediately worked out the answer . how much had he scored in math ?", + "Output Program": [ + "n0 = 8.0\nt0 = n0 + 1.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "working individually , allison can sew dresses for 9 hours and al can sew dresses in 12 hours . if allison and al work together but independently at the task for 3 hours , at which point al leaves , how many remaining hours will it take allison to complete the task alone ?", + "Output Program": [ + "n0 = 9.0\nn1 = 12.0\nn2 = 3.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nt4 = 1.0 - t3\nanswer = t4 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.750000000000001" + ], + "split": "train" + }, + { + "Input": "a person is traveling at 100 km / hr and reached his destiny in 5 then find the distance ?", + "Output Program": [ + "n0 = 100.0\nn1 = 5.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water in 15 km / hr and the rate of current is 3 km / hr . the distance travelled downstream in 12 minutes is :", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 12.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "3.6" + ], + "split": "train" + }, + { + "Input": "10 men , working 7 hours a day can complete a work in 18 days . how many hours a day must 15 men work to complete the same work in 12 days ?", + "Output Program": [ + "n0 = 10.0\nn1 = 7.0\nn2 = 18.0\nn3 = 15.0\nn4 = 12.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "karen places a bet with tom that she will beat tom in a car race by 4 miles even if karen starts 4 minutes late . assuming that karen drives at an average speed of 60 mph and tom drives at an average speed of 45 mph , how many w miles will tom drive before karen wins the bet ?", + "Output Program": [ + "n0 = 4.0\nn1 = 4.0\nn2 = 60.0\nn3 = 45.0\nt0 = n3 / n2\nt1 = n2 / n2\nt2 = n0 * t0\nt3 = t1 - t0\nt4 = n0 + t2\nt5 = t4 / t3\nanswer = t5 - n0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a contractor undertook to make 15 km of roadway in 40 weeks . in 10 weeks , 3 km was complete by 180 men working 8 hours a day . the men then agreed to work 1 hour a day overtime , and some boys were engaged to assist them , the work was finished in the stipulated time ( 40 weeks ) . how many boys were employed , if the work of 3 boys is equal to that of 2 men ?", + "Output Program": [ + "n0 = 15.0\nn1 = 40.0\nn2 = 10.0\nn3 = 3.0\nn4 = 180.0\nn5 = 8.0\nn6 = 1.0\nn7 = 40.0\nn8 = 3.0\nn9 = 2.0\nt0 = n5 + n6\nt1 = n3 / n2\nt2 = n9 / n3\nt3 = n1 - n2\nt4 = t1 / n4\nt5 = t4 / n5\nt6 = t0 * t5\nt7 = t6 * t3\nt8 = t2 * t6\nt9 = n4 * t7\nt10 = t8 * t3\nt11 = n3 + t9\nt12 = n0 - t11\nanswer = t12 / t10\nprint(answer)" + ], + "Output Answer": [ + "50.00000000000006" + ], + "split": "train" + }, + { + "Input": "a courtyard is 20 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm . the total number of bricks required is ?", + "Output Program": [ + "n0 = 20.0\nn1 = 16.0\nn2 = 20.0\nn3 = 10.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n2 * n3\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "16000" + ], + "split": "train" + }, + { + "Input": "a car takes 4 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 540.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "36 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?", + "Output Program": [ + "n0 = 36.0\nn1 = 8.0\nn2 = 30.0\nn3 = 50.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n3 * t1\nt3 = t2 / n4\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "if 20 honey bees make 20 grams of honey in 20 days , then 1 honey bee will make 1 gram of honey in how many days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 20.0\nn2 = 20.0\nn3 = 1.0\nn4 = 1.0\nt0 = n3 / n0\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "find the lcm of 23 , 46,827", + "Output Program": [ + "n0 = 23.0\nn1 = 46827.0\nt0 = n0 * 4.0\nt1 = t0 - 4.0\nt2 = t1 - 4.0\nanswer = t2 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "83" + ], + "split": "train" + }, + { + "Input": "a company has two models of computers , model m and model n . operating at a constant rate , a model m computer can complete a certain task in 24 minutes and a model n computer can complete the same task in 12 minutes . if the company used the same number of each model of computer to complete the task in 1 minute , how many model m computers were used ?", + "Output Program": [ + "n0 = 24.0\nn1 = 12.0\nn2 = 1.0\nt0 = 1 / n1\nt1 = 1 / n0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 200 meters or 10 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 200.0\nn1 = 10.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "if a car went the first third of the distance at 80 kmh , the second third at 15 kmh , and the last third at 48 kmh , what was the average speed of the car for the entire trip ?", + "Output Program": [ + "n0 = 80.0\nn1 = 15.0\nn2 = 48.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 3.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "30.000000000000004" + ], + "split": "train" + }, + { + "Input": "325 metres long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees", + "Output Program": [ + "n0 = 325.0\nn1 = 26.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "18 beavers , working together in a constant pace , can build a dam in 8 hours . how many hours will it take 36 beavers that work at the same pace , to build the same dam ?", + "Output Program": [ + "n0 = 18.0\nn1 = 8.0\nn2 = 36.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a pump can fill a tank with water in 2 hours . because of a leak , it took 2 1 / 6 hours to fill the tank . the leak can drain all the water of the tank in ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 1.0\nn3 = 6.0\nt0 = n2 / n0\nt1 = n0 * n3\nt2 = n2 + t1\nt3 = t2 / n3\nt4 = 1 / t3\nt5 = t0 - t4\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "26.000000000000018" + ], + "split": "train" + }, + { + "Input": "a plant manager must assign 12 new workers to one of five shifts . she needs a first , second , and third shift , and two alternate shifts . each of the shifts will receive 4 new workers . how many different ways can she assign the new workers ?", + "Output Program": [ + "import math\nn0 = 12.0\nn1 = 4.0\nt0 = n0 / n1\nt1 = math.factorial(min(15, int(n0)))\nt2 = math.factorial(min(15, int(n1)))\nt3 = n0 - n1\nt4 = math.factorial(min(15, int(t0)))\nt5 = math.factorial(min(15, int(t3)))\nt6 = t4 / 2.0\nt7 = t5 * t2\nt8 = t1 / t7\nanswer = t6 * t8\nprint(answer)" + ], + "Output Answer": [ + "1485" + ], + "split": "train" + }, + { + "Input": "a man can do a piece of work in 10 days , but with the help of his son , he can do it in 4 days . in what time can the son do it alone ?", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "6.666666666666667" + ], + "split": "train" + }, + { + "Input": "how long does a train 100 m long running at the speed of 75 km / hr takes to cross a bridge 135 m length ?", + "Output Program": [ + "n0 = 100.0\nn1 = 75.0\nn2 = 135.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "11.279097672186225" + ], + "split": "train" + }, + { + "Input": "a man ' s speed with the current is 20 kmph and speed of the current is 3 kmph . the man ' s speed against the current will be", + "Output Program": [ + "n0 = 20.0\nn1 = 3.0\nt0 = n0 - n1\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ 26.50 per metre is rs . 5300 , what is the length of the plot in metres ?", + "Output Program": [ + "n0 = 20.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 - t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "two trains 150 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 150.0\nn1 = 165.0\nn2 = 80.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.82006405004841" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 50 km / hr crosses a pole in 9 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 50.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "125" + ], + "split": "train" + }, + { + "Input": "two dogsled teams raced across a 300 mile course in wyoming . team a finished the course in 3 fewer hours than team t . if team a ' s average speed was 5 mph greater than team t ' s , what was team t ' s average mph ?", + "Output Program": [ + "n0 = 300.0\nn1 = 3.0\nn2 = 5.0\nt0 = n0 / n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream . if the speed of the boat in still water is 10 mph , the speed of the stream is :", + "Output Program": [ + "import math\nn0 = 90.0\nn1 = 36.0\nn2 = 10.0\nt0 = n0 / 60.0\nt1 = n2**min(2.0, 5)\nt2 = n1 / t0\nt3 = t1 * 4.0\nt4 = t2 * 2.0\nt5 = t4**min(2.0, 5)\nt6 = t3 + t5\nt7 = math.sqrt(max(0, t6))\nt8 = t7 - t4\nanswer = t8 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a boy swims downstream 91 km and upstream 21 km taking 7 hours each time , what is the speed of the boy in still water ?", + "Output Program": [ + "n0 = 91.0\nn1 = 21.0\nn2 = 7.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = 1.0 / 2.0\nt3 = t0 + t1\nanswer = t3 * t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "the hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 10 miles per hour . the cyclist stops to wait for the hiker 5 minutes after passing her , while the hiker continues to walk at her constant rate , how many minutes must the cyclist wait until the hiker catches up ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nn2 = 5.0\nt0 = n2 / 60.0\nt1 = n1 - n0\nt2 = t0 * t1\nt3 = t2 / n0\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "two numbers n and 12 have lcm = 48 and gcf = 8 . find n .", + "Output Program": [ + "n0 = 12.0\nn1 = 48.0\nn2 = 8.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 12 days and b alone can do it in 14 days . how much time will both take to finish the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 14.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.461538461538462" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water in 20 km / hr and the rate of current is 6 km / hr . the distance travelled downstream in 12 minutes is :", + "Output Program": [ + "n0 = 20.0\nn1 = 6.0\nn2 = 12.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "5.2" + ], + "split": "train" + }, + { + "Input": "john completes a piece of work in 10 days , rose completes the same work in 40 days . if both of them work together , then the number of days required to complete the work is ?", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "at a time a , do 20 % less work than b . if a do any work in 15 / 2 hour , then in how many hour b will finish work ?", + "Output Program": [ + "n0 = 20.0\nn1 = 15.0\nn2 = 2.0\nt0 = n1 / n2\nt1 = n0 / 100.0\nt2 = 1.0 - t1\nanswer = t0 * t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "worker a takes 8 hours to do a job . worker b takes 10 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?", + "Output Program": [ + "n0 = 8.0\nn1 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.444444444444445" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 1250 resolutions ?", + "Output Program": [ + "n0 = 22.4\nn1 = 1250.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "1759.9999999999998" + ], + "split": "train" + }, + { + "Input": "kelsey travelled for 10 hours . he covered the first half of the distance at 25 kmph and remaining half of the distance at 40 kmph . find the distance travelled by kelsey ?", + "Output Program": [ + "n0 = 10.0\nn1 = 25.0\nn2 = 40.0\nt0 = 1.0 / n2\nt1 = 1.0 / n0\nt2 = t0 + t1\nt3 = n1 / t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "the reciprocal of the hcf and lcm of two are 1 / 15 and 1 / 312 . if one of the number is 24 then other no . is", + "Output Program": [ + "n0 = 1.0\nn1 = 15.0\nn2 = 1.0\nn3 = 312.0\nn4 = 24.0\nt0 = n1 * n3\nanswer = t0 / n4\nprint(answer)" + ], + "Output Answer": [ + "195" + ], + "split": "train" + }, + { + "Input": "a can do a work in 15 days and b in 20 days . if they work on it together for 6 days , then the fraction of the work that is left is", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.30000000000000004" + ], + "split": "train" + }, + { + "Input": "machine a can finish a job in 4 hours , machine \u0432 can finish the job in 12 hours , and machine \u0441 can finish the job in 6 hours . how many hours will it take for a , b , and \u0441 together to finish the job ?", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nn2 = 6.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "walking with 3 / 5 of my usual speed , i miss the bus by 5 minutes . what is my usual time ?", + "Output Program": [ + "n0 = 3.0\nn1 = 5.0\nn2 = 5.0\nt0 = n1 / n0\nt1 = n2 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a certain automobile company \u2019 s best - selling model is the speedster . the speedster , like all of their other models , comes in coupe and convertible styles . 3 / 4 of the current inventory is speedsters , of which 3 / 5 are convertibles . if there are 30 vehicles that are not speedsters , how many speedster convertibles are there ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 3.0\nn3 = 5.0\nn4 = 30.0\nt0 = n2 / n3\nt1 = n0 / n1\nt2 = 1.0 - t1\nt3 = n4 / t2\nt4 = t3 * t1\nanswer = t0 * t4\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "a rower can row 6 km / h in still water . when the river is running at 1 km / h , it takes the rower 1 hour to row to big rock and back . how many kilometers is it to big rock ?", + "Output Program": [ + "n0 = 6.0\nn1 = 1.0\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t1 / t2\nanswer = t0 * t3\nprint(answer)" + ], + "Output Answer": [ + "2.916666666666667" + ], + "split": "train" + }, + { + "Input": "two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line . for instance , 3 and 7 rhyme around 5 . what integer e between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 7.0\nn2 = 5.0\nn3 = 1.0\nn4 = 20.0\nt0 = 2.0 * n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a car travels at a speed of 65 miles per hour . how far will it travel in 7 hours ?", + "Output Program": [ + "n0 = 65.0\nn1 = 7.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "455" + ], + "split": "train" + }, + { + "Input": "an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 25 metres of cloth ?", + "Output Program": [ + "n0 = 0.128\nn1 = 25.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "195.3125" + ], + "split": "train" + }, + { + "Input": "what is the time required for a bike to cover a distance of 450 km with a speed of 90 kmh ?", + "Output Program": [ + "n0 = 450.0\nn1 = 90.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 8 meters and a circumference of 8 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 8.0\nn3 = 10.0\nt0 = n0 / n2\nt1 = n1 / n3\nt2 = t1**min(2.0, 5)\nt3 = t0 * t2\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "64.00000000000001" + ], + "split": "train" + }, + { + "Input": "on a map , 3.5 inches represent 35 miles . how many miles approximately is the distance if you measured 127 centimeters assuming that 1 - inch is 2.54 centimeters ?", + "Output Program": [ + "n0 = 3.5\nn1 = 35.0\nn2 = 127.0\nn3 = 1.0\nn4 = 2.54\nt0 = n2 / n4\nt1 = n1 / n0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 140 m in length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 60.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "14.998800095992321" + ], + "split": "train" + }, + { + "Input": "a train which has 300 m long , is running 80 kmph . in what time will it cross a person moving at 16 kmph in same direction ?", + "Output Program": [ + "n0 = 300.0\nn1 = 80.0\nn2 = 16.0\nt0 = n1 / 3.6\nt1 = n2 / 2.0\nt2 = t1 / 3.6\nt3 = t0 - t2\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "the positive integers m and n leave remainders of 2 and 3 , respectively , when divided by 6 . m > n . what is the remainder when m \u2013 n is divided by 6 ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 6.0\nn3 = 6.0\nt0 = n0 - n1\nanswer = n2 + t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a 60 cm long wire is to be cut into two pieces so that one piece will be 2 / 4 th of the other , how many centimeters will the shorter piece be ?", + "Output Program": [ + "n0 = 60.0\nn1 = 2.0\nn2 = 4.0\nt0 = n1 / n2\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "aarti can do a piece of work in 6 days . in how many days will she complete three time of work of same type ?", + "Output Program": [ + "n0 = 6.0\n\nanswer = n0 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "there are two tanks a & b with same capacity of 20 litres . if the water inflow rate ( speed ) in tank a is 2 litres per hour & in tank b is 4 litres per hour . how much longer tank a takes to fill than tank b ?", + "Output Program": [ + "n0 = 20.0\nn1 = 2.0\nn2 = 4.0\nt0 = n0 / n1\nt1 = n0 / n2\nanswer = t0 - t1\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 30 m at the rate of rs . 5 a meter ?", + "Output Program": [ + "import math\nn0 = 30.0\nn1 = 5.0\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "471.23889803846896" + ], + "split": "train" + }, + { + "Input": "39 persons can repair a road in 12 days , working 5 hours a day . in how many days will 15 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 39.0\nn1 = 12.0\nn2 = 5.0\nn3 = 15.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 4.5 liters per minute . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours . the capacity of the tank is ?", + "Output Program": [ + "n0 = 6.0\nn1 = 4.5\nn2 = 8.0\nt0 = n2 * 60.0\nt1 = n0 * 60.0\nt2 = t0 / t1\nt3 = n1 * t0\nt4 = t2 - 1.0\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "6480.000000000002" + ], + "split": "train" + }, + { + "Input": "if a truck is traveling at a constant rate of 54 kilometers per hour , how many seconds will it take the truck to travel a distance of 600 meters ? ( 1 kilometer = 1000 meters )", + "Output Program": [ + "n0 = 54.0\nn1 = 600.0\nn2 = 1.0\nn3 = 1000.0\nt0 = n1 / n3\nt1 = t0 / n0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "amit and ananthu can do a work in 15 days and 30 days respectively . amit started the work and left after 3 days . ananthu took over and completed the work . in how many days was the total work completed ?", + "Output Program": [ + "n0 = 15.0\nn1 = 30.0\nn2 = 3.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 * n2\nt3 = 1.0 - t2\nt4 = t3 / t1\nanswer = t4 + n2\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "express a speed of 108 kmph in meters per second ?", + "Output Program": [ + "n0 = 108.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "30.002399999999998" + ], + "split": "train" + }, + { + "Input": "a trader sells 45 meters of cloth for rs . 4500 at the profit of rs . 12 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 45.0\nn1 = 4500.0\nn2 = 12.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "88" + ], + "split": "train" + }, + { + "Input": "two trains are running in opposite directions in the same speed . the length of each train is 120 meter . if they cross each other in 16 seconds , the speed of each train ( in km / hr ) is", + "Output Program": [ + "n0 = 120.0\nn1 = 16.0\nt0 = n0 + n0\nt1 = t0 / n1\nt2 = t1 / 2.0\nanswer = t2 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "can you find a 7 digit number which describes itself . the first digit is the number of zeros in the number . the second digit is the number of ones in the number , etc . for example , in the number 21200 , there are 2 zeros , 1 one , 2 twos , 0 threes and 0 fours .", + "Output Program": [ + "n0 = 7.0\nn1 = 21200.0\nn2 = 2.0\nn3 = 1.0\nn4 = 2.0\nn5 = 0.0\nn6 = 0.0\nt0 = n1 * 10.0\nt1 = t0 * 3.0\nt2 = t1 / n2\nt3 = t2 * 1000.0\nt4 = t3 / 10.0\nt5 = t4 / 10.0\nt6 = n1 + t5\nt7 = n1 + t6\nt8 = t7 - 1000.0\nt9 = t8 - 1000.0\nt10 = t9 - 3600.0\nt11 = t10 - 3600.0\nt12 = t11 - 1000.0\nt13 = t12 - 1000.0\nt14 = t13 - 100.0\nanswer = t14 - 100.0\nprint(answer)" + ], + "Output Answer": [ + "3211000" + ], + "split": "train" + }, + { + "Input": "in what time will a train 100 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 100.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.49980001599872" + ], + "split": "train" + }, + { + "Input": "one cutting machine cuts 100 metal bars in 30 minutes . another machine does the same job in 30 seconds . what time will it take if both machines are put on the same work ?", + "Output Program": [ + "n0 = 100.0\nn1 = 30.0\nn2 = 30.0\nt0 = 1.0 / n1\nt1 = n1 * 60.0\nt2 = 1.0 / t1\nt3 = t2 + t0\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "29.508196721311478" + ], + "split": "train" + }, + { + "Input": "if 4 men can colour 48 m long cloth in 2 days , then 8 men can colour 36 m long cloth in", + "Output Program": [ + "n0 = 4.0\nn1 = 48.0\nn2 = 2.0\nn3 = 8.0\nn4 = 36.0\nt0 = n0 * n2\nt1 = n1 / t0\nt2 = n3 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.75" + ], + "split": "train" + }, + { + "Input": "walking at 3 / 4 of her normal speed , a worker is 12 minutes later than usual in reaching her office . the usual time ( in minutes ) taken by her to cover the distance between her home and her office is", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 12.0\n\nanswer = n0 * n2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "in 100 m race , a covers the distance in 36 seconds and b in 45 seconds . in this race a beats b by :", + "Output Program": [ + "n0 = 100.0\nn1 = 36.0\nn2 = 45.0\nt0 = n0 / n2\nt1 = n2 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "the citizens of planet nigiet are 5 fingered and have thus developed their decimal system in base 8 . a certain street in nigiet contains 1000 ( in base 5 ) buildings numbered 1 to 1000 . how many 3 s are used in numbering these buildings ? express result in terms of base 10 .", + "Output Program": [ + "n0 = 5.0\nn1 = 8.0\nn2 = 1000.0\nn3 = 5.0\nn4 = 1.0\nn5 = 1000.0\nn6 = 3.0\nn7 = 10.0\nt0 = n0**min(2.0, 5)\nanswer = t0 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 37 days for the patch to cover the entire lake , how many days would it take the patch to cover half of the lake ?", + "Output Program": [ + "n0 = 37.0\n\nanswer = n0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a plant manager must assign 12 new workers to one of five shifts . she needs a first , second , and third shift , and two alternate shifts . each of the shifts will receive 2 new workers . how many different ways can she assign the new workers ?", + "Output Program": [ + "import math\nn0 = 12.0\nn1 = 2.0\nt0 = n0 / n1\nt1 = math.factorial(min(15, int(n0)))\nt2 = math.factorial(min(15, int(n1)))\nt3 = n0 - n1\nt4 = math.factorial(min(15, int(t0)))\nt5 = math.factorial(min(15, int(t3)))\nt6 = t4 / 2.0\nt7 = t5 * t2\nt8 = t1 / t7\nanswer = t6 * t8\nprint(answer)" + ], + "Output Answer": [ + "23760" + ], + "split": "train" + }, + { + "Input": "a car going at 30 miles per hour set out on an 80 - mile trip at 9 : 00 a . m . exactly 10 minutes later , a second car left from the same place and followed the same route . how fast , in miles per hour , was the second car going if it caught up with the first car at 10 : 30 a . m . ?", + "Output Program": [ + "n0 = 30.0\nn1 = 80.0\nn2 = 9.0\nn3 = 0.0\nn4 = 10.0\nn5 = 10.0\nn6 = 30.0\nt0 = n4 - n2\nt1 = n0 - n4\nt2 = t0 * 60.0\nt3 = t2 + t1\nt4 = t3 / 60.0\nanswer = n1 / t4\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "pipe p can fill a tank in 2 hours , pipe q in 4 hours and pipe r in 12 hours . if all the pipes are open , in how many hours will the tank be filled ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nn2 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "1.2" + ], + "split": "train" + }, + { + "Input": "300 metres long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees", + "Output Program": [ + "n0 = 300.0\nn1 = 26.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "in a 100 m race , sam beats john by 6 seconds . on the contrary , if sam allowed john to start 36 m ahead of sam , then sam and john reach the finishing point at the same time . how long does sam take to run the 100 m race ?", + "Output Program": [ + "n0 = 100.0\nn1 = 6.0\nn2 = 36.0\nn3 = 100.0\nt0 = n0 - n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "10.666666666666666" + ], + "split": "train" + }, + { + "Input": "debanshu normally drives to work in 45 minutes at an average speed of 40 miles per hour . this week , however , she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20 % . if debanshu averages between 12 and 16 miles per hour when biking , how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives ?", + "Output Program": [ + "n0 = 45.0\nn1 = 40.0\nn2 = 20.0\nn3 = 12.0\nn4 = 16.0\nt0 = n0 / 60.0\nt1 = 100.0 - n2\nt2 = t1 / 100.0\nt3 = n1 * t0\nt4 = t2 * t3\nt5 = t4 / n3\nt6 = t5 - t0\nanswer = t6 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "a flagpole 18 meters high casts a shadow of length 45 meters . if a building under similar conditions casts a shadow of length 55 meters , what is the height of the building ( in meters ) ?", + "Output Program": [ + "n0 = 18.0\nn1 = 45.0\nn2 = 55.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "x alone can do a piece of work in 15 days and y alone can do it in 10 days . x and y undertook to do it for rs . 720 . with the help of z they finished it in 5 days . how much is paid to z ?", + "Output Program": [ + "n0 = 15.0\nn1 = 10.0\nn2 = 720.0\nn3 = 5.0\nt0 = 1.0 / n3\nt1 = 1.0 / n1\nt2 = 1.0 / n0\nt3 = t0 - t1\nt4 = t3 - t2\nt5 = t4 / t0\nanswer = n2 * t5\nprint(answer)" + ], + "Output Answer": [ + "120.00000000000001" + ], + "split": "train" + }, + { + "Input": "a , b , c can complete a piece of work in 24 , 6,12 days . working together , they complete the same work in how many days ?", + "Output Program": [ + "n0 = 24.0\nn1 = 6.0\nn2 = 12.0\nt0 = 2.0 + 4.0\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t0 * 2.0\nt4 = t1 + t2\nt5 = 1.0 / t3\nt6 = t4 + t5\nanswer = 1.0 / t6\nprint(answer)" + ], + "Output Answer": [ + "3.428571428571429" + ], + "split": "train" + }, + { + "Input": "a man walking at the rate of 5 km / hr crosses a bridge in 15 minutes . the length of the bridge ( in metres ) is ?", + "Output Program": [ + "n0 = 5.0\nn1 = 15.0\nt0 = n0 * 1000.0\nt1 = t0 / 60.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "1250" + ], + "split": "train" + }, + { + "Input": "a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 85 seconds . what is the length of the train in meters ?", + "Output Program": [ + "n0 = 100.0\nn1 = 64.0\nn2 = 85.0\nt0 = n0 - n1\nt1 = t0 * 0.2778\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "850.068" + ], + "split": "train" + }, + { + "Input": "billy worked for 3 straight hours on his homework questions . if he solved 132 questions in the third hour , which was twice as many as he solved in the second hour , and 3 times as many questions as he solved in the first hour , how many questions did he solve total ?", + "Output Program": [ + "n0 = 3.0\nn1 = 132.0\nn2 = 3.0\nt0 = 10.0 + 10.0\nt1 = 1.0 / n0\nt2 = t0 + 2.0\nt3 = n1 * t1\nt4 = t3 * 2.0\nt5 = n1 + t4\nanswer = t2 + t5\nprint(answer)" + ], + "Output Answer": [ + "242" + ], + "split": "train" + }, + { + "Input": "if 9 parallel lines in a plane is intersected by a family of another 8 parallel lines , how many parallelograms are there in the network thus formed ?", + "Output Program": [ + "n0 = 9.0\nn1 = 8.0\nt0 = n0 - 1.0\nt1 = n1 - 1.0\nt2 = n0 * t0\nt3 = n1 * t1\nt4 = t2 / 2.0\nt5 = t3 / 2.0\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "1008" + ], + "split": "train" + }, + { + "Input": "the diameter of a wheel is 0.7 m . how far will it travel in 200 revolutions", + "Output Program": [ + "n0 = 0.7\nn1 = 200.0\nt0 = 1000.0 + 60.0\nt1 = 10.0 * 2.0\nt2 = 10.0 * 1000.0\nt3 = t1 + 4.0\nt4 = t0 + t3\nt5 = t4 / t2\nt6 = 0.25 - t5\nt7 = t6 + 3.0\nt8 = n0 * t7\nanswer = n1 * t8\nprint(answer)" + ], + "Output Answer": [ + "439.82399999999996" + ], + "split": "train" + }, + { + "Input": "a cistern which could be filled in 5 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ?", + "Output Program": [ + "n0 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / 10.0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a train is 60 kmph and including stoppages it is 36 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 60.0\nn1 = 36.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "if 36 men can do a piece of work in 5 hours , in how many hours will 15 men do it ?", + "Output Program": [ + "n0 = 36.0\nn1 = 5.0\nn2 = 15.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 50 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the distance traveled by maxwell when they meet in the middle ?", + "Output Program": [ + "n0 = 50.0\nn1 = 4.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a and b can do a work in 8 days , b and c can do the same work in 12 days . a , b and c together can finish it in 6 days . a and c together will do it in how many days ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 6.0\nt0 = n0 / 2.0\nt1 = t0 + 2.0\nt2 = n0 * t1\nanswer = t2 / n2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a fill pipe can fill 1 / 2 of cistern in 35 minutes . in how many minutes , it can fill 1 / 2 of the cistern ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 35.0\nn3 = 1.0\nn4 = 2.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "b completes a work in 9 days . a alone can do it in 10 days . if both work together , the work can be completed in how many days ?", + "Output Program": [ + "n0 = 9.0\nn1 = 10.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.7368421052631575" + ], + "split": "train" + }, + { + "Input": "two trains 111 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 60 km and the other at the rate of 90 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 111.0\nn1 = 165.0\nn2 = 60.0\nn3 = 90.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.623470122390208" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 9.5 kmph . if he rows downstream , where the speed of current is 8.5 kmph , what time will he take to cover 45.5 metres ?", + "Output Program": [ + "n0 = 9.5\nn1 = 8.5\nn2 = 45.5\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "9.099272058235341" + ], + "split": "train" + }, + { + "Input": "in what time will a railway train 65 m long moving at the rate of 36 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 65.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "6.499480041596672" + ], + "split": "train" + }, + { + "Input": "how many minutes will it take for a car that is traveling at a constant rate of 9 miles per hour to travel a distance of 106 yards ? ( 1 mile = 1,160 yards )", + "Output Program": [ + "n0 = 9.0\nn1 = 106.0\nn2 = 1.0\nn3 = 1160.0\nt0 = 3.0 + 4.0\nt1 = 2.0 * 3.0\nt2 = t0 * 100.0\nt3 = t1 * 10.0\nt4 = t2 + t3\nt5 = t4 + 1000.0\nt6 = n1 / t5\nanswer = t6 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "3.6136363636363638" + ], + "split": "train" + }, + { + "Input": "a man started driving at a constant speed , from the site of a blast , the moment he heard the blast . he heard a second blast after a time of 30 mins and 20 seconds . if the second blast occurred exactly 30 mins after the first , how many meters was he from the site when he heard the second blast ? ( speed of sound = 330 m / s )", + "Output Program": [ + "n0 = 30.0\nn1 = 20.0\nn2 = 30.0\nn3 = 330.0\n\nanswer = n1 * n3\nprint(answer)" + ], + "Output Answer": [ + "6600" + ], + "split": "train" + }, + { + "Input": "walking at 3 / 4 of his usual place , a man reaches his office 20 minute late . find his usual time ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 20.0\nt0 = n0 * n2\nt1 = t0 / n1\nt2 = n1 * t1\nt3 = t2 * 2.0\nanswer = t3 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a pump can fill a tank with water in 6 hours . because of a leak , it took 12 hours to fill the tank . the leak can drain all the water in ?", + "Output Program": [ + "n0 = 6.0\nn1 = 12.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "how many plants will be there in a circular bed whose outer edge measure 31 cms , allowing 4 cm 2 for each plant ?", + "Output Program": [ + "import math\nn0 = 31.0\nn1 = 4.0\nn2 = 2.0\nt0 = n2 * 3.141592653589793\nt1 = n0 / t0\nt2 = math.pi * t1**2\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "19.118487538913932" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 5 seconds . find the length of the train .", + "Output Program": [ + "n0 = 60.0\nn1 = 5.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "83.33333333333334" + ], + "split": "train" + }, + { + "Input": "if 70 honey bees make 70 grams of honey in 70 days , then 1 honey bee will make 1 gram of honey in how many days ?", + "Output Program": [ + "n0 = 70.0\nn1 = 70.0\nn2 = 70.0\nn3 = 1.0\nn4 = 1.0\nt0 = n3 / n0\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "two trains , each 100 m long , moving in opposite directions , cross other in 10 sec . if one is moving twice as fast the other , then the speed of the faster train is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nt0 = n0 + n0\nt1 = 1.0 + 2.0\nt2 = n1 * t1\nt3 = t0 / t2\nt4 = t3 * 2.0\nt5 = t4 * 3600.0\nanswer = t5 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "from an island , it is possible to reach the mainland by either ferry p or ferry q . ferry p travels for 2 hours at 8 kilometers per hour , while ferry q takes a route that is three times longer . if ferry p is slower than ferry q by 4 kilometers per hour , how many hours longer is the journey of ferry q compared with the journey of ferry p ?", + "Output Program": [ + "n0 = 2.0\nn1 = 8.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = n0 * n1\nt2 = t1 * 3.0\nt3 = t2 / t0\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a car takes 6 hours to cover a distance of 324 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 324.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "steve traveled the first 5 hours of his journey at 40 mph and the last 3 hours of his journey at 80 mph . what is his average speed of travel for the entire journey ?", + "Output Program": [ + "n0 = 5.0\nn1 = 40.0\nn2 = 3.0\nn3 = 80.0\nt0 = n0 + n2\nt1 = 100.0 / 3.0\nt2 = n2 * n3\nt3 = n0 * n1\nt4 = t2 + t3\nt5 = t1 - 0.33\nt6 = t4 / t0\nanswer = t6 + t5\nprint(answer)" + ], + "Output Answer": [ + "88.00333333333333" + ], + "split": "train" + }, + { + "Input": "tanks c and b are each in the shape of a right circular cylinder . the interior of tank c has a height of 10 meters and a circumference of 8 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank c is what percent of the capacity of tank b ?", + "Output Program": [ + "import math\nn0 = 10.0\nn1 = 8.0\nn2 = 8.0\nn3 = 10.0\nt0 = n1 / 2.0\nt1 = n0 / 2.0\nt2 = math.pi * t0**2 * n0\nt3 = math.pi * t1**2 * n1\nt4 = t2 / t3\nanswer = t4 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "what is the greatest of 3 consecutive integers whose sum is 39 ?", + "Output Program": [ + "n0 = 3.0\nn1 = 39.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 6.5 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 6.5\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "33.42035224833366" + ], + "split": "train" + }, + { + "Input": "if a car had traveled 20 kmh faster than it actually did , the trip would have lasted 30 minutes less . if the car went exactly 60 km , at what speed did it travel ?", + "Output Program": [ + "import math\nn0 = 20.0\nn1 = 30.0\nn2 = 60.0\nt0 = n0 * n2\nt1 = n0**min(2.0, 5)\nt2 = t0 * 2.0\nt3 = t2 * 4.0\nt4 = t3 + t1\nt5 = math.sqrt(max(0, t4))\nt6 = t5 - n0\nanswer = t6 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "there are 6 working days in a regular week and for each day , the working hours are 10 . a man earns rs . 2.10 per hour for regular work and rs . 4.20 per hour for overtime . if he earns rs . 525 in 4 weeks , how many hours did he work ?", + "Output Program": [ + "n0 = 6.0\nn1 = 10.0\nn2 = 2.1\nn3 = 4.2\nn4 = 525.0\nn5 = 4.0\nt0 = n0 * n5\nt1 = n1 * t0\nt2 = n2 * t1\nt3 = n4 - t2\nt4 = t3 / n3\nanswer = t4 + t1\nprint(answer)" + ], + "Output Answer": [ + "245" + ], + "split": "train" + }, + { + "Input": "there are 24 stations between ernakulam and chennai . how many second class tickets have to be printed , so that a passenger can travel from one station to any other station ?", + "Output Program": [ + "n0 = 24.0\nt0 = n0 + 2.0\nt1 = t0 - 1.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "650" + ], + "split": "train" + }, + { + "Input": "x does a work in 30 days . y does the same work in 45 days . in how many days they together will do the same work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 45.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "in covering a distance of 24 km , abhay takes 2 hours more than sameer . if abhay doubles his speed , then he would take 1 hour less than sameer . abhay ' s speed is :", + "Output Program": [ + "n0 = 24.0\nn1 = 2.0\nn2 = 1.0\nt0 = n1 + n2\nt1 = n0 / n1\nt2 = n0 - t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "20 workers can finish a work in 30 days . after how many days should 5 workers leave the job so the work is completed in 35 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 5.0\nn3 = 35.0\nt0 = n0 * n1\nt1 = n0 - n2\nt2 = n3 * t1\nt3 = t0 - t2\nanswer = t3 / n2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a train 284 m in length crosses a telegraph post in 18 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 284.0\nn1 = 18.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "56.800000000000004" + ], + "split": "train" + }, + { + "Input": "walking with 4 / 5 of my usual speed , i miss the bus by 3 minutes . what is my usual time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 3.0\nt0 = n1 / n0\nt1 = n2 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "find the distance covered by a man walking for 42 min at a speed of 10 km / hr ?", + "Output Program": [ + "n0 = 42.0\nn1 = 10.0\nt0 = n1 * 1000.0\nt1 = t0 / 60.0\nt2 = n0 * t1\nanswer = t2 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "42 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 42.0\nn1 = 12.0\nn2 = 5.0\nn3 = 30.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "in a garden , 26 trees are planted at equal distances along a yard 800 metres long , one tree being at each end of the yard . what is the distance between two consecutive trees ?", + "Output Program": [ + "n0 = 26.0\nn1 = 800.0\nt0 = n0 - 1.0\nanswer = n1 / t0\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "how many times are the hands of a clock at right angle in 2 days ?", + "Output Program": [ + "n0 = 2.0\nt0 = 12.0 * 2.0\nt1 = 12.0 * 4.0\nt2 = n0 * t0\nt3 = t1 - 4.0\nt4 = t2 * t3\nanswer = t4 / t0\nprint(answer)" + ], + "Output Answer": [ + "88" + ], + "split": "train" + }, + { + "Input": "a hiker walked for 3 days . she walked 18 miles on the first day , walking 3 miles per hour . on the second day she walked for one less hour but she walked one mile per hour , faster than on the first day . on the third day she walked at 5 miles per hour for 3 hours . how many miles in total did she walk ?", + "Output Program": [ + "n0 = 3.0\nn1 = 18.0\nn2 = 3.0\nn3 = 5.0\nn4 = 3.0\nt0 = n3 * 4.0\nt1 = n3 * n4\nt2 = n1 + t0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "53" + ], + "split": "train" + }, + { + "Input": "a can do a job in 15 days and b in 20 days . if they work on it together for 5 days , then the fraction of the work that is left is ?", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.41666666666666663" + ], + "split": "train" + }, + { + "Input": "the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 210 the other is", + "Output Program": [ + "n0 = 2310.0\nn1 = 30.0\nn2 = 210.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "330" + ], + "split": "train" + }, + { + "Input": "a can do a job in 15 days and b in 20 days . if they work on it together for 3 days , then the fraction of the work that is left is ?", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 3.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.65" + ], + "split": "train" + }, + { + "Input": "in 110 m race , a covers the distance in 36 seconds and b in 45 seconds . in this race a beats b by :", + "Output Program": [ + "n0 = 110.0\nn1 = 36.0\nn2 = 45.0\nt0 = n0 / n2\nt1 = n2 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "180 metres long yard , 11 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees", + "Output Program": [ + "n0 = 180.0\nn1 = 11.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 14 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 14.0\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "71.9822971502571" + ], + "split": "train" + }, + { + "Input": "15 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 15 hours a day , the number of men required ?", + "Output Program": [ + "n0 = 15.0\nn1 = 8.0\nn2 = 10.0\nn3 = 8.0\nn4 = 15.0\nt0 = n0 * n2\nt1 = n3 * n4\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a factory produces 4560 toys per week . if the workers at this factory work 4 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?", + "Output Program": [ + "n0 = 4560.0\nn1 = 4.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "1140" + ], + "split": "train" + }, + { + "Input": "9 spheres of the same size are made from melting a solid cylinder of 8 cm diameter and 48 cm height . what is the diameter of each sphere ?", + "Output Program": [ + "import math\nn0 = 9.0\nn1 = 8.0\nn2 = 48.0\nt0 = n1 / 2.0\nt1 = math.pi * t0**2 * n2\nt2 = t1 / 3.141592653589793\nt3 = t2 * 3.0\nt4 = t3 / 4.0\nt5 = t4 / n0\nt6 = t5 / 4.0\nt7 = t6 / 4.0\nanswer = t7 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a boat goes 100 km downstream in 4 hours , and 75 km upstream in 15 hours . the speed of the stream is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 4.0\nn2 = 75.0\nn3 = 15.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "along a road lie an odd number of stones placed at intervals of 10 m . these stones have to be assembled around the middle stone . a person can carry only one stone at a time . a man carried out the job starting with the stone in the middle , carrying stones in succession , thereby covering a distance of 4.8 km . then the number of stones is", + "Output Program": [ + "n0 = 10.0\nn1 = 4.8\nt0 = n1 * 1000.0\nt1 = 2.0 * 2.0\nt2 = 4.0 * 4.0\nt3 = n0 * t1\nt4 = t0 / t3\nt5 = t4 * 2.0\nt6 = t5 / t2\nt7 = t6 * 2.0\nanswer = t7 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "31" + ], + "split": "train" + }, + { + "Input": "how many times in a day , are the hands of a clock in straight line but opposite in direction ?", + "Output Program": [ + "t0 = 12.0 * 2.0\nt1 = t0 * 2.0\nt2 = t1 - 4.0\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "debony normally drives to work in 45 minutes at an average speed of 40 miles per hour . this week , however , she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20 % . if debony averages between 12 and 16 miles per hour when biking , how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives ?", + "Output Program": [ + "n0 = 45.0\nn1 = 40.0\nn2 = 20.0\nn3 = 12.0\nn4 = 16.0\nt0 = n0 * n1\nt1 = n1 * 2.0\nt2 = t0 / 60.0\nt3 = t2 * t1\nt4 = t3 / 100.0\nt5 = t4 * 60.0\nt6 = t5 / n3\nanswer = t6 - n0\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "two trains are moving in the same direction at 54 kmph and 36 kmph . the faster train crosses a man in the slower train in 27 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 54.0\nn1 = 36.0\nn2 = 27.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "135" + ], + "split": "train" + }, + { + "Input": "a 140 meter long train crosses a man standing on the platform in 6 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 140.0\nn1 = 6.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "train" + }, + { + "Input": "if 11.25 m of a uniform steel rod weighs 42.75 kg . what will be the weight of 5 m of the same rod ?", + "Output Program": [ + "n0 = 11.25\nn1 = 42.75\nn2 = 5.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "10 men working 12 hours daily finish a work in 24 days . in how many days will they finish 1 / 4 th of the work working 8 hours daily ?", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nn2 = 24.0\nn3 = 1.0\nn4 = 4.0\nn5 = 8.0\nt0 = n1 * n2\nt1 = t0 / n4\nanswer = t1 / n5\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "a certain car can travel 40 kilometers on a liter of fuel . if the fuel tank \u2019 s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed , how fast is the car moving , in miles per hour ? ( 1 gallon = 3.8 liters ; 1 mile = 1.6 kilometers )", + "Output Program": [ + "n0 = 40.0\nn1 = 3.9\nn2 = 5.7\nn3 = 1.0\nn4 = 3.8\nn5 = 1.0\nn6 = 1.6\nt0 = n0 * n4\nt1 = t0 / n6\nt2 = n1 * t1\nanswer = t2 / n2\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "train" + }, + { + "Input": "a man bring 2 cats to his home to eliminate all the mice . they do a half of the work in 5 days , then the man brings 3 more cats . if they hunt at the same rate , how many days will take to hunt all the mice , since the first day ?", + "Output Program": [ + "n0 = 2.0\nn1 = 5.0\nn2 = 3.0\nt0 = n0 / n1\nt1 = n1 * t0\nanswer = n1 + t1\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "there are 15 members in a family . it takes 180 days for a women to complete the work , however man completes in 120 days . they take 17 days to complete the work if men work on alternate days and women work every third day . if all of them started together on the 1 st day , then how many women are there in the family", + "Output Program": [ + "n0 = 15.0\nn1 = 180.0\nn2 = 120.0\nn3 = 17.0\nn4 = 1.0\nt0 = n1 / n0\nanswer = n0 - t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "john completes a piece of work in 8 days , rose completes the same work in 16 days . if both of them work together , then the number of days required to complete the work is ?", + "Output Program": [ + "n0 = 8.0\nn1 = 16.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.333333333333333" + ], + "split": "train" + }, + { + "Input": "how long does a train 140 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length ?", + "Output Program": [ + "n0 = 140.0\nn1 = 72.0\nn2 = 132.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "13.598912087033037" + ], + "split": "train" + }, + { + "Input": "a rectangular grassy plot 110 m by 65 cm has a gravel path . 5 cm wide all round it on the inside . find the cost of gravelling the path at 80 paise per sq . mt ?", + "Output Program": [ + "n0 = 110.0\nn1 = 65.0\nn2 = 5.0\nn3 = 80.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n0 - n2\nt3 = n1 - n2\nt4 = t2 * t3\nt5 = t1 - t4\nanswer = t0 * t5\nprint(answer)" + ], + "Output Answer": [ + "680" + ], + "split": "train" + }, + { + "Input": "tim and \u00e9 lan are 150 miles away from one another . they are starting to move towards each other simultaneously , tim at a speed of 10 mph and \u00e9 lan at a speed of 5 mph . if every hour they double their speeds , what is the distance that tim will pass until he meets \u00e9 lan ?", + "Output Program": [ + "n0 = 150.0\nn1 = 10.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "16 boys or 24 girls can construct the wall in 6 days . the number of days that 8 boys and 4 girls will take to construct ?", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nn2 = 6.0\nn3 = 8.0\nn4 = 4.0\nt0 = 1.0 / n2\nt1 = t0 / n1\nt2 = t0 / n0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t3 + t4\nanswer = 1.0 / t5\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 34 m at the rate of rs . 2 a meter ?", + "Output Program": [ + "import math\nn0 = 34.0\nn1 = 2.0\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "213.62830044410595" + ], + "split": "train" + }, + { + "Input": "a man covered a certain distance at some speed . if he had moved 3 kmph faster , he would have taken 40 minutes less . if he had moved 2 kmph slower , he would have taken 40 minutes more . what is the the distance in km ?", + "Output Program": [ + "n0 = 3.0\nn1 = 40.0\nn2 = 2.0\nn3 = 40.0\nt0 = n1 / 60.0\nt1 = n0 - n2\nt2 = n2 * t0\nt3 = n0 * t0\nt4 = t2 + t3\nt5 = t4 / t1\nt6 = n2 * t5\nt7 = t6 + t2\nt8 = t7 / t0\nanswer = t8 * t5\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a pipe can empty 2 / 3 rd of a cistern in 10 mins . in 8 mins , what part of the cistern will be empty ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 10.0\nn3 = 8.0\nt0 = n0 / n1\nt1 = n3 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "0.5333333333333333" + ], + "split": "train" + }, + { + "Input": "how many plants will be there in a circular bed whose outer edge measure 34 cms , allowing 4 cm 2 for each plant ?", + "Output Program": [ + "import math\nn0 = 34.0\nn1 = 4.0\nn2 = 2.0\nt0 = n2 * 3.141592653589793\nt1 = n0 / t0\nt2 = math.pi * t1**2\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "22.997889276778874" + ], + "split": "train" + }, + { + "Input": "a certain automobile company \u2019 s best - selling model is the speedster . the speedster , like all of their other models , comes in coupe and convertible styles . 2 / 3 of the current inventory is speedsters , of which 4 / 5 are convertibles . if there are 60 vehicles that are not speedsters , how many speedster convertibles are there ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 4.0\nn3 = 5.0\nn4 = 60.0\nt0 = n2 / n3\nt1 = n0 / n1\nt2 = 1.0 - t1\nt3 = n4 / t2\nt4 = t3 * t1\nanswer = t0 * t4\nprint(answer)" + ], + "Output Answer": [ + "95.99999999999999" + ], + "split": "train" + }, + { + "Input": "if 24 men take 15 days to to complete a job , in how many days can 18 men finish that work ?", + "Output Program": [ + "n0 = 24.0\nn1 = 15.0\nn2 = 18.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a train requires 10 seconds to pass a pole while it requires 30 seconds to cross a stationary train which is 600 mtrs long . find the speed of the train .", + "Output Program": [ + "n0 = 10.0\nn1 = 30.0\nn2 = 600.0\nt0 = n1 - n0\nt1 = n2 / t0\nanswer = t1 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "108" + ], + "split": "train" + }, + { + "Input": "circular gears l and r start to rotate at the same time at the same rate . gear l makes 20 complete revolutions per minute and gear r makes 40 revolutions per minute . how many seconds after the gears start to rotate will gear r have made exactly 6 more revolutions than gear l ?", + "Output Program": [ + "n0 = 20.0\nn1 = 40.0\nn2 = 6.0\nt0 = n1 / 60.0\nt1 = n0 / 60.0\nt2 = t0 - t1\nt3 = n2 / t2\nanswer = t3 / 3.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "1000 men have provisions for 20 days . if 650 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 20.0\nn2 = 650.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "12.121212121212121" + ], + "split": "train" + }, + { + "Input": "a can finish a piece of work in 4 days . b can do it in 14 days . they work together for two days and then a goes away . in how many days will b finish the work ?", + "Output Program": [ + "n0 = 4.0\nn1 = 14.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 * 2.0\nt3 = t1 * 2.0\nt4 = t2 + t3\nt5 = 1.0 - t4\nanswer = t5 / t1\nprint(answer)" + ], + "Output Answer": [ + "5.000000000000001" + ], + "split": "train" + }, + { + "Input": "a glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution . if 45 cubic centimeters of the solution were poured into an empty container , how many grams of glucose would be in the container ?", + "Output Program": [ + "n0 = 15.0\nn1 = 100.0\nn2 = 45.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "6.75" + ], + "split": "train" + }, + { + "Input": "two trains of equal lengths take 5 sec and 15 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?", + "Output Program": [ + "n0 = 5.0\nn1 = 15.0\nn2 = 120.0\nt0 = n2 * 2.0\nt1 = n2 / n1\nt2 = n2 / n0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "if teena is driving at 55 miles per hour and is currently 7.5 miles behind poe , who is driving at 40 miles per hour in the same direction then in how many minutes will teena be 15 miles ahead of poe ?", + "Output Program": [ + "n0 = 55.0\nn1 = 7.5\nn2 = 40.0\nn3 = 15.0\nt0 = n0 - n2\nt1 = n1 + t0\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a car takes 6 hours to cover a distance of 360 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 360.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "tom traveled the entire 20 miles trip . if he did the first 10 miles of at a constant rate 12 miles per hour and the remaining trip of at a constant rate 10 miles per hour , what is the his average speed , in miles per hour ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 12.0\nn3 = 10.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = n3 / t1\nt3 = t2 + t0\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "10.909090909090908" + ], + "split": "train" + }, + { + "Input": "one pipe can fill a pool 1.25 times faster than a second pipe . when both pipes are opened , they fill the pool in five hours . how long would it take to fill the pool if only the faster pipe is used ?", + "Output Program": [ + "n0 = 1.25\nt0 = 2.0 + 3.0\nt1 = n0 + 1.0\nt2 = 1 / t0\nt3 = t2 / t1\nt4 = 1 / t3\nanswer = t4 / n0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "a car travels at a speed of 60 miles per hour . how far will it travel in 5 hours ?", + "Output Program": [ + "n0 = 60.0\nn1 = 5.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "find the distance covered by a man walking for 72 min at a speed of 10 km / hr ?", + "Output Program": [ + "n0 = 72.0\nn1 = 10.0\nt0 = n1 * 1000.0\nt1 = t0 / 60.0\nt2 = n0 * t1\nanswer = t2 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a train overtakes two persons who are walking in the same direction to that of the train at 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively . what is the length of the train ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nn2 = 9.0\nn3 = 10.0\nt0 = n1 * 1000.0\nt1 = n0 * 1000.0\nt2 = t0 / 3600.0\nt3 = t1 / 3600.0\nt4 = n3 * t2\nt5 = n2 * t3\nt6 = t4 - t5\nt7 = t6 - t3\nanswer = n2 * t7\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "tom and linda stand at point a . linda begins to walk in a straight line away from tom at a constant rate of 2 miles per hour . one hour later , tom begins to jog in a straight line in the exact opposite direction at a constant rate of 8 miles per hour . if both tom and linda travel indefinitely , what is the positive difference , in minutes , between the amount of time it takes tom to cover half of the distance that linda has covered and the amount of time it takes tom to cover twice the distance that linda has covered ?", + "Output Program": [ + "n0 = 2.0\nn1 = 8.0\nt0 = 2.0 * 2.0\nt1 = n0 * 2.0\nt2 = n1 - n0\nt3 = 2.0 / t2\nt4 = n1 - t1\nt5 = t0 / t4\nt6 = t5 - t3\nanswer = t6 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "40.00000000000001" + ], + "split": "train" + }, + { + "Input": "a car during its journey travels 1 hour at a speed of 40 kmph , another 30 minutes at a speed of 60 kmph , and 2 hours at a speed of 60 kmph . the average speed of the car is", + "Output Program": [ + "n0 = 1.0\nn1 = 40.0\nn2 = 30.0\nn3 = 60.0\nn4 = 2.0\nn5 = 60.0\nt0 = n1 + n2\nt1 = n3 + n3\nt2 = n2 / 60.0\nt3 = t0 + t1\nt4 = n0 + t2\nt5 = n4 + t4\nanswer = t3 / t5\nprint(answer)" + ], + "Output Answer": [ + "54.285714285714285" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 80 kmph and including stoppages , it is 60 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 80.0\nn1 = 60.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "12 persons can complete the work in 18 days . after working for 6 days , 4 more persons added to complete the work fast . in how many days they will complete the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 18.0\nn2 = 6.0\nn3 = 4.0\nt0 = n0 + n3\nt1 = n1 - n2\nt2 = n0 * t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "mahesh can do a piece of work in 35 days . he works at it for 20 days and then rajesh finished it in 30 days . how long will y take to complete the work ?", + "Output Program": [ + "n0 = 35.0\nn1 = 20.0\nn2 = 30.0\nt0 = 1.0 / n0\nt1 = n1 * t0\nt2 = 1.0 - t1\nt3 = t2 / n2\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "a car travels at a speed of 12 miles per hour . how far will it travel in 5 hours ?", + "Output Program": [ + "n0 = 12.0\nn1 = 5.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "16 men can complete a piece of work in 25 days . in how many days can 15 men complete that piece of work ?", + "Output Program": [ + "n0 = 16.0\nn1 = 25.0\nn2 = 15.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "26.666666666666668" + ], + "split": "train" + }, + { + "Input": "a bus trip of 280 miles would have taken 1 hour less if the average speed v for the trip had been greater by 5 miles per hour . what was the average speed v , in miles per hour , for the trip ?", + "Output Program": [ + "import math\nn0 = 280.0\nn1 = 1.0\nn2 = 5.0\nt0 = n0 * n2\nt1 = n2**min(2.0, 5)\nt2 = t0 * 4.0\nt3 = t2 + t1\nt4 = math.sqrt(max(0, t3))\nt5 = t4 - n2\nanswer = t5 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "a certain car can travel 56 kilometers on a liter of fuel . if the fuel tank \u2019 s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed , how fast is the car moving , in miles per hour ? ( 1 gallon = 3.8 liters ; 1 mile = 1.6 kilometers )", + "Output Program": [ + "n0 = 56.0\nn1 = 3.9\nn2 = 5.7\nn3 = 1.0\nn4 = 3.8\nn5 = 1.0\nn6 = 1.6\nt0 = n0 * n4\nt1 = t0 / n6\nt2 = n1 * t1\nanswer = t2 / n2\nprint(answer)" + ], + "Output Answer": [ + "90.99999999999999" + ], + "split": "train" + }, + { + "Input": "a vessel of capacity 50 litres is fully filled with pure milk . nine litres of milk is removed from the vessel and replaced with water . nine litres of the solution thus formed is removed and replaced with water . find the quantity of pure milk in the final milk solution ?", + "Output Program": [ + "n0 = 50.0\nt0 = 3.0 * 3.0\nt1 = n0 - t0\nt2 = t1 / n0\nt3 = t2 * t0\nanswer = t1 - t3\nprint(answer)" + ], + "Output Answer": [ + "33.62" + ], + "split": "train" + }, + { + "Input": "two pipes a and b can separately fill a tank in 12 and 20 minutes respectively . a third pipe c can drain off 45 liters of water per minute . if all the pipes are opened , the tank can be filled in 15 minutes . what is the capacity of the tank ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\nn2 = 45.0\nn3 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = 1.0 / n3\nt4 = t0 + t1\nt5 = t4 + t2\nt6 = t5 - t3\nt7 = 1 / t6\nt8 = t7 * 3.0\nanswer = n1 * t8\nprint(answer)" + ], + "Output Answer": [ + "675" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 3.5 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 3.5\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "17.995574287564274" + ], + "split": "train" + }, + { + "Input": "a person crosses a 1440 m long street in 12 minutes . what is his speed in km per hour ?", + "Output Program": [ + "n0 = 1440.0\nn1 = 12.0\nt0 = n0 / 1000.0\nt1 = n1 * 60.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.199999999999999" + ], + "split": "train" + }, + { + "Input": "the amount of time that three people worked on a special project was in the ratio of 2 to 3 to 4 . if the project took 90 hours , how many more hours did the hardest working person work than the person who worked the least ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 4.0\nn3 = 90.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n3 / t1\nt3 = n2 * t2\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 9 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?", + "Output Program": [ + "n0 = 462.0\nn1 = 336.0\nn2 = 9.0\nt0 = n0 - n1\nt1 = t0 / n2\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "karen places a bet with tom that she will beat tom in a car race by 4 miles even if karen starts 4 minutes late . assuming that karen drives at an average speed of 60 mph and tom drives at an average speed of 45 mph , how many q miles will tom drive before karen wins the bet ?", + "Output Program": [ + "n0 = 4.0\nn1 = 4.0\nn2 = 60.0\nn3 = 45.0\nt0 = n3 / n2\nt1 = n2 / n2\nt2 = n0 * t0\nt3 = t1 - t0\nt4 = n0 + t2\nt5 = t4 / t3\nanswer = t5 - n0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "if the length and breadth of a room are increased by y feet each , the perimeter increases by 16 feet . find y", + "Output Program": [ + "n0 = 16.0\n\nanswer = n0 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "jack and paul are running 1000 m . jack runs 1.5 km / hr faster than paul but also finishes the race 1.5 sec earlier . what is the speed of jack ? ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 1.5\nn2 = 1.5\nt0 = n1 * 0.2778\nt1 = t0 / 2.0\nt2 = t0 * 100.0\nt3 = t2 / 2.0\nanswer = t3 - t1\nprint(answer)" + ], + "Output Answer": [ + "20.626649999999998" + ], + "split": "train" + }, + { + "Input": "the speed of boat in still water is 20 km / hr . if it travels 26 km downstream and 14 km upstream in same time , what is the speed of the stream ?", + "Output Program": [ + "n0 = 20.0\nn1 = 26.0\nn2 = 14.0\nt0 = n1 + n2\nt1 = n0 * n1\nt2 = n0 * n2\nt3 = t1 - t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "on my sister ' s birthday , she was 147 cm in height , having grown 5 % since the year before . how tall was she the previous year ?", + "Output Program": [ + "n0 = 147.0\nn1 = 5.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "139.65" + ], + "split": "train" + }, + { + "Input": "calculate how many days it will take for 5 boys to paint a 30 m long fence if 2 boys can paint a 20 m long fence in 3 days ,", + "Output Program": [ + "n0 = 5.0\nn1 = 30.0\nn2 = 2.0\nn3 = 20.0\nn4 = 3.0\nt0 = n2 * n4\nt1 = n0 * n3\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "1.8" + ], + "split": "train" + }, + { + "Input": "how many cuboids of length 6 m , width 4 m and height 3 m can be farmed from a cuboid of 18 m length , 15 m width and 2 m height .", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nn2 = 3.0\nn3 = 18.0\nn4 = 15.0\nn5 = 2.0\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = n5 * t0\nt3 = n2 * t1\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 100 meters long take to cross a bridge 180 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 180.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "27.997760179185665" + ], + "split": "train" + }, + { + "Input": "with both valves open , the pool will be filled with water in 48 minutes . the first valve alone would fill the pool in 2 hours . if the second valve emits 50 cubic meters of water more than the first every minute , then what is the capacity q of the pool ?", + "Output Program": [ + "n0 = 48.0\nn1 = 2.0\nn2 = 50.0\nt0 = 1.0 + 4.0\nt1 = n0 / 60.0\nt2 = t0 * t1\nt3 = t2 * 60.0\nanswer = n2 * t3\nprint(answer)" + ], + "Output Answer": [ + "12000" + ], + "split": "train" + }, + { + "Input": "how long does a train 100 m long traveling at 72 kmph takes to cross a tunnel of 1400 m in length ?", + "Output Program": [ + "n0 = 100.0\nn1 = 72.0\nn2 = 1400.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "74.9940004799616" + ], + "split": "train" + }, + { + "Input": "a person walks from one end to the other of a 60 - meter long moving walkway at a constant rate in 30 seconds , assisted by the walkway . when this person reaches the end , they reverse direction and continue walking with the same speed , but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway . if the walkway were to stop moving , how many seconds would it take this person to walk from one end of the walkway to the other ?", + "Output Program": [ + "n0 = 60.0\nn1 = 30.0\nn2 = 120.0\nt0 = n0 / n1\nt1 = n0 / n2\nt2 = t0 + t1\nt3 = t2 / 2.0\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "a glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution . if 65 cubic centimeters of the solution were poured into an empty container , how many grams of glucose would be in the container ?", + "Output Program": [ + "n0 = 15.0\nn1 = 100.0\nn2 = 65.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "9.75" + ], + "split": "train" + }, + { + "Input": "a man can row 9 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and back . what is the total distance traveled by the man ?", + "Output Program": [ + "n0 = 9.0\nn1 = 1.2\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "8.839999999999998" + ], + "split": "train" + }, + { + "Input": "two trains 300 m and 450 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 300.0\nn1 = 450.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "26.99784017278618" + ], + "split": "train" + }, + { + "Input": "if 20 men can build a wall 112 metres long in 6 days , what length of a similar wall can be built by 15 men in 3 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 112.0\nn2 = 6.0\nn3 = 15.0\nn4 = 3.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "b completes a work in 3 days . a alone can do it in 10 days . if both work together , the work can be completed in how many days ?", + "Output Program": [ + "n0 = 3.0\nn1 = 10.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.3076923076923075" + ], + "split": "train" + }, + { + "Input": "nick took a bus from home to market , that travels at 80 kmph . while walking back at 8 kmph , halfway through , he suddenly realized he was getting late and he cycled back the remaining distance in 60 kmph . find the average speed .", + "Output Program": [ + "n0 = 80.0\nn1 = 8.0\nn2 = 60.0\nt0 = 1 / n2\nt1 = 1 / n0\nt2 = t0 / 2.0\nt3 = t2 + t1\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "47.99999999999999" + ], + "split": "train" + }, + { + "Input": "a boat having a length 6 m and breadth 3 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "at 12.00 hours , j starts to walk from his house at 6 kmph . at 13.30 , p follows him from j ' s house on his bicycle at 8 kmph . when will j be 3 km behind p ?", + "Output Program": [ + "n0 = 12.0\nn1 = 6.0\nn2 = 13.3\nn3 = 8.0\nn4 = 3.0\nt0 = 3.0 / 2.0\nt1 = n3 - n1\nt2 = n1 * t0\nt3 = n4 + t2\nt4 = t3 / t1\nanswer = n2 + t4\nprint(answer)" + ], + "Output Answer": [ + "19.3" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 800 m long train take to cross a man walking with a speed of 5 km / hr in the direction of the moving train if the speed of the train is 65 km / hr ?", + "Output Program": [ + "n0 = 800.0\nn1 = 5.0\nn2 = 65.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "47.99616030717543" + ], + "split": "train" + }, + { + "Input": "a and b together can do a piece of work in 6 days and a alone can do it in 14 days . in how many days can b alone can do it ?", + "Output Program": [ + "n0 = 6.0\nn1 = 14.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "10.5" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 180 resolutions ?", + "Output Program": [ + "n0 = 22.4\nn1 = 180.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "253.43999999999997" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water in 42 km / hr and the rate of current is 7 km / hr . the distance travelled downstream in 44 minutes is :", + "Output Program": [ + "n0 = 42.0\nn1 = 7.0\nn2 = 44.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "35.93333333333333" + ], + "split": "train" + }, + { + "Input": "length of a rectangular plot is 24 mtr more than its breadth . if the cost of fencin gthe plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 24.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "train" + }, + { + "Input": "the sum of 4 consecutive even numbers is 140 . what would be the largest number ?", + "Output Program": [ + "n0 = 4.0\nn1 = 140.0\nt0 = n1 - 12.0\nt1 = t0 / n0\nt2 = t1 + 2.0\nt3 = t2 + 2.0\nanswer = t3 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "38" + ], + "split": "train" + }, + { + "Input": "the perimeter of a semi circle is 140 cm then the radius is ?", + "Output Program": [ + "n0 = 140.0\nt0 = 2.0 + 3.141592653589793\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "27.22891707538399" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 36 km / hr crosses a pole in 9 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 36.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "glen and hannah drive at constant speeds toward each other on a highway . glen drives at a constant speed of 37 km per hour . at a certain time they pass by each other , and then keep driving away from each other , maintaining their constant speeds . if glen is 130 km away from hannah at 6 am , and also 130 km away from hannah at 11 am , then how fast is hannah driving ( in kilometers per hour ) ?", + "Output Program": [ + "n0 = 37.0\nn1 = 130.0\nn2 = 6.0\nn3 = 130.0\nn4 = 11.0\nt0 = n1 * 2.0\nt1 = n4 - n2\nt2 = t0 / t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a van takes 6 hours to cover a distance of 378 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 378.0\nn2 = 3.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "in 140 m race , a covers the distance in 36 seconds and b in 45 seconds . in this race a beats b by :", + "Output Program": [ + "n0 = 140.0\nn1 = 36.0\nn2 = 45.0\nt0 = n0 / n2\nt1 = n2 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "darcy lives 1.5 miles from work . she can walk to work at a constant rate of 3 miles per hour , or she can ride the train to work at a constant rate of 20 miles per hour . if she rides the train , there is an additional x minutes spent walking to the nearest train station , waiting for the train , and walking from the final train station to her work . if it takes darcy a total of 25 more minutes to commute to work by walking than it takes her to commute to work by riding the train , what is the value of x ?", + "Output Program": [ + "n0 = 1.5\nn1 = 3.0\nn2 = 20.0\nn3 = 25.0\nt0 = 60.0 / 2.0\nt1 = n2 / n0\nt2 = 60.0 / t1\nt3 = t0 - n3\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "the wages of 24 men and 16 women amounts to rs . 11600 per day . half the number of men and 37 women earn the same amount per day . what is the daily wage of a man ?", + "Output Program": [ + "n0 = 24.0\nn1 = 16.0\nn2 = 11600.0\nn3 = 37.0\nt0 = n2 * 2.0\nt1 = n3 * 2.0\nt2 = t0 - n2\nt3 = t1 - n1\nt4 = t2 / t3\nt5 = n1 * t4\nt6 = n2 - t5\nanswer = t6 / n0\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "find the expenditure on digging a well 14 m deep and of 3 m diameter at rs . 18 per cubic meter ?", + "Output Program": [ + "import math\nn0 = 14.0\nn1 = 3.0\nn2 = 18.0\nt0 = n1 / 2.0\nt1 = math.pi * t0**2 * n0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "1781.2830345854127" + ], + "split": "train" + }, + { + "Input": "a good train and a passenger train are running on parallel tracks in the same direction . the driver of the goods train observes that the passenger train coming from behind overtakes and crosses his train completely in 60 sec . whereas a passenger on the passenger train marks that he crosses the goods train in 40 sec . if the speeds of the trains be in the ratio 1 : 2 . find the ratio of their lengths .", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nn2 = 1.0\nn3 = 2.0\nt0 = n0 / n1\nt1 = t0 - n2\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "nicky and cristina are running a 500 meter race . since cristina is faster than nicky , she gives him a 12 second head start . if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ?", + "Output Program": [ + "n0 = 500.0\nn1 = 12.0\nn2 = 5.0\nn3 = 3.0\nt0 = n1 * n3\nt1 = n2 - n3\nt2 = t0 / n3\nt3 = t0 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "youseff lives x blocks from his office . it takes him 1 minute per block to walk to work and 20 seconds per block to ride his bike to work . it is takes him exactly 12 minutes more to walk to work than to ride his bike to work , then x equals ?", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 12.0\nt0 = n2 * 3.0\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "water boils at 212 \u00b0 f or 100 \u00b0 c and ice melts at 32 \u00b0 f or 0 \u00b0 c . if the temperature of a pot of water is 60 \u00b0 c , what is the temperature of the pot of water in \u00b0 f ?", + "Output Program": [ + "n0 = 212.0\nn1 = 100.0\nn2 = 32.0\nn3 = 0.0\nn4 = 60.0\nt0 = n0 - n2\nt1 = t0 / n1\nt2 = n4 * t1\nanswer = n2 + t2\nprint(answer)" + ], + "Output Answer": [ + "140" + ], + "split": "train" + }, + { + "Input": "a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 330 m long platform ?", + "Output Program": [ + "n0 = 36.0\nn1 = 12.0\nn2 = 330.0\nt0 = n0 * 0.2778\nt1 = n1 * t0\nt2 = n2 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "44.99736021118311" + ], + "split": "train" + }, + { + "Input": "stacy and heather are 30 miles apart and walk towards each other along the same route . stacy walks at constant rate that is 1 mile per hour fast than heather ' s constant rate of 5 miles / hour . if heather starts her journey 24 minutes after stacy , how far from the original destination has heather walked when the two meet ? .", + "Output Program": [ + "n0 = 30.0\nn1 = 1.0\nn2 = 5.0\nn3 = 24.0\nt0 = n1 + n2\nt1 = n2 + t0\nt2 = t0 / 60.0\nt3 = n3 * t2\nt4 = n0 - t3\nt5 = t4 / t1\nanswer = n2 * t5\nprint(answer)" + ], + "Output Answer": [ + "12.545454545454547" + ], + "split": "train" + }, + { + "Input": "a car takes 6 hours to cover a distance of 180 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 180.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "in a garment industry , 12 men working 8 hours per day complete a piece of work in 10 days . to complete the same work in 12 days , working 16 hours a day , the number of men required is :", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 10.0\nn3 = 12.0\nn4 = 16.0\nt0 = n0 * n1\nt1 = n2 * t0\nt2 = t1 / n4\nanswer = t2 / n3\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a cistern is filled by pipe a in 10 hours and the full cistern can be leaked out by an exhaust pipe b in 15 hours . if both the pipes are opened , in what time the cistern is full ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "29.999999999999993" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 70 km in the first hour and 90 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 70.0\nn1 = 90.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "pascal has 96 miles remaining to complete his cycling trip . if he reduced his current speed by 4 miles per hour , the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50 % . what is his current speed z ?", + "Output Program": [ + "import math\nn0 = 96.0\nn1 = 4.0\nn2 = 16.0\nn3 = 50.0\nt0 = n0 / n2\nt1 = n3 / 100.0\nt2 = t1 + 1.0\nt3 = t0**min(2.0, 5)\nt4 = t0 / t2\nt5 = n1 * t4\nt6 = t5 * n1\nt7 = t6 + t3\nt8 = math.sqrt(max(0, t7))\nt9 = t0 + t8\nanswer = t9 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 475 metres long and travelling at 90 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 475.0\nn1 = 90.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "275" + ], + "split": "train" + }, + { + "Input": "sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m , the cost of fencing it at 80 ps per meter is ?", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 2.0\nn2 = 3750.0\nn3 = 80.0\nt0 = n1 * n2\nt1 = t0 / n0\nt2 = math.sqrt(max(0, t1))\nt3 = n2 / t2\nt4 = 2 * (t3 + t2) # perimetere of rectangle\nt5 = n3 * t4\nanswer = t5 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "if 7 parallel lines in a plane is intersected by a family of another 8 parallel lines , how many parallelograms are there in the network thus formed ?", + "Output Program": [ + "n0 = 7.0\nn1 = 8.0\nt0 = n0 - 1.0\nt1 = n1 - 1.0\nt2 = n0 * t0\nt3 = n1 * t1\nt4 = t2 / 2.0\nt5 = t3 / 2.0\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "588" + ], + "split": "train" + }, + { + "Input": "a is twice as good as b . and together they finish a piece of work in 20 days . in how many days will a alone finish the work", + "Output Program": [ + "n0 = 20.0\nt0 = 1.0 + 2.0\nt1 = 1 / n0\nt2 = t1 / t0\nt3 = t2 * 2.0\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 km / hr and crosses a 300 m long platform in 26 sec . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 300.0\nn2 = 26.0\nt0 = n0 / 3600.0\nt1 = t0 * 1000.0\nt2 = n2 * t1\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "220" + ], + "split": "train" + }, + { + "Input": "a train traveling at 72 kmph crosses a platform in 31 seconds and a man standing on the platform in 18 seconds . what is the length of the platform in meters ?", + "Output Program": [ + "n0 = 72.0\nn1 = 31.0\nn2 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nt2 = n1 * t1\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" + ], + "Output Answer": [ + "260" + ], + "split": "train" + }, + { + "Input": "there is food for 760 men for 22 days . how many more men should join after two days so that the same food may last for 10 days more ?", + "Output Program": [ + "n0 = 760.0\nn1 = 22.0\nn2 = 10.0\nt0 = n1 - 2.0\nt1 = n0 * t0\nt2 = t1 / n2\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "760" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 15 metres ?", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 15.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "2.9997600191984644" + ], + "split": "train" + }, + { + "Input": "p alone can complete a job in 4 days . the work done by q alone in one day is equal to one - third of the work done by p alone in one day . in how many days can the work be completed if p and q work together ?", + "Output Program": [ + "n0 = 4.0\nt0 = 1.0 / n0\nt1 = t0 / 3.0\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "if 11.25 m of a uniform steel rod weighs 42.75 kg . what will be the weight of 9 m of the same rod ?", + "Output Program": [ + "n0 = 11.25\nn1 = 42.75\nn2 = 9.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "34.2" + ], + "split": "train" + }, + { + "Input": "two trains 150 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 150.0\nn1 = 160.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.159107271418288" + ], + "split": "train" + }, + { + "Input": "a train 200 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 200.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "10.909090909090908" + ], + "split": "train" + }, + { + "Input": "two trains of length 160 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 160.0\nn1 = 280.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "21.998240140788738" + ], + "split": "train" + }, + { + "Input": "one day , raviraj left home and cycled 20 km southwards , turned right and cycled 10 km and turned right and cycled 20 km and turned left and cycled 20 km . how many kilometres will he have to cycle to reach his home straight ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 20.0\nn3 = 20.0\n\nanswer = n0 + n1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a train running at a speed of 36 km / h passes an electric pole in 14 seconds . in how many seconds will the whole train pass a 370 - meter long platform ?", + "Output Program": [ + "n0 = 36.0\nn1 = 14.0\nn2 = 370.0\nt0 = n0 * 0.2778\nt1 = n1 * t0\nt2 = n2 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "50.99704023678106" + ], + "split": "train" + }, + { + "Input": "a train is 360 meter long is running at a speed of 50 km / hour . in what time will it pass a bridge of 140 meter length .", + "Output Program": [ + "n0 = 360.0\nn1 = 50.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a work which could be finished in 10 days was finished 3 days earlier after 10 more men joined . the number of men employed was ?", + "Output Program": [ + "n0 = 10.0\nn1 = 3.0\nn2 = 10.0\nt0 = n1 * 2.0\nt1 = n2 * t0\nt2 = n0 - t0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "in a dairy farm , 30 cows eat 30 bags of husk in 30 days . in how many days one cow will eat one bag of husk ?", + "Output Program": [ + "n0 = 30.0\nn1 = 30.0\nn2 = 30.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a train 560 m in length crosses a telegraph post in 16 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 560.0\nn1 = 16.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "126" + ], + "split": "train" + }, + { + "Input": "k is 50 % faster than l . if l starts at 9 a . m . and k starts at 10 a . m . l travels at a speed of 50 km / hr . if l and k are 300 kms apart , the time when they meet when they travel in opposite direction is ?", + "Output Program": [ + "n0 = 50.0\nn1 = 9.0\nn2 = 10.0\nn3 = 50.0\nn4 = 300.0\nt0 = n0 / 100.0\nt1 = n4 - n0\nt2 = t0 + 1.0\nt3 = n0 * t2\nt4 = n0 + t3\nt5 = t1 / t4\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "how many minutes is it before 12 noon if 20 minutes ago it was 3 times as many minutes after 9 am ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\nn2 = 3.0\nn3 = 9.0\nt0 = n2 + 1.0\nt1 = n0 * 60.0\nt2 = n3 * 60.0\nt3 = t1 - t2\nt4 = t3 - n1\nanswer = t4 / t0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a train is 360 meter long is running at a speed of 75 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 360.0\nn1 = 75.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "15 binders can bind 1400 books in 21 days . how many binders will be required to bind 1600 books in 20 days ?", + "Output Program": [ + "n0 = 15.0\nn1 = 1400.0\nn2 = 21.0\nn3 = 1600.0\nn4 = 20.0\nt0 = n3 / n4\nt1 = n0 * n2\nt2 = n1 / t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a bus trip of 360 miles would have taken 1 hour less if the average speed v for the trip had been greater by 5 miles per hour . what was the average speed v , in miles per hour , for the trip ?", + "Output Program": [ + "import math\nn0 = 360.0\nn1 = 1.0\nn2 = 5.0\nt0 = n0 * n2\nt1 = n2**min(2.0, 5)\nt2 = t0 * 4.0\nt3 = t2 + t1\nt4 = math.sqrt(max(0, t3))\nt5 = t4 - n2\nanswer = t5 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "it is the new year and mandy has made a resolution to lose weight this year . she plans to exercise and do yoga . for exercise she plans to workout at the gym and ride her bicycle in the ratio of 2 : 3 everyday . she will also do yoga in the ratio , yoga : exercise = 2 : 3 . if she rides her bike for 12 minutes , how much time will she spend doing yoga ? ( rounded to minutes )", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 2.0\nn3 = 3.0\nn4 = 12.0\nt0 = n0 + n1\nt1 = n1 / t0\nt2 = n4 * t1\nt3 = t1 * t1\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 3 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 3.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "nd the area of trapezium whose parallel sides are 20 cm and 16 cm long , and the distance between them is 15 cm ?", + "Output Program": [ + "n0 = 20.0\nn1 = 16.0\nn2 = 15.0\nt0 = n0 + n1\nt1 = n2 * t0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "270" + ], + "split": "train" + }, + { + "Input": "a train 130 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train . find the speed of the train .", + "Output Program": [ + "n0 = 130.0\nn1 = 6.0\nn2 = 5.0\nt0 = n1 * 0.2778\nt1 = n0 / t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "72.99376049916008" + ], + "split": "train" + }, + { + "Input": "efrida and frazer who live 13 miles apart , meet at a restaurant that is directly north of efrida ' s home and directly east of frazer ' s home . if the restaurant is two miles closer to efrida ' s home , than to frazer ' s home , how many miles is the restaurant from frazer ' s home ?", + "Output Program": [ + "import math\nn0 = 13.0\nt0 = n0**min(2.0, 5)\nt1 = 2.0**min(2.0, 5)\nt2 = t0 - t1\nt3 = t2 / 2.0\nt4 = math.sqrt(max(0, t3))\nanswer = t4 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "11.082951062292475" + ], + "split": "train" + }, + { + "Input": "nicky and cristina are running a race . since cristina is faster than nicky , she gives him a 54 meter head start . if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ?", + "Output Program": [ + "n0 = 54.0\nn1 = 5.0\nn2 = 3.0\nt0 = n1 - n2\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "susan can type 10 pages in 5 minutes . mary can type 5 pages in 10 minutes . working together , how many pages can they type in 30 minutes ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nn2 = 5.0\nn3 = 10.0\nn4 = 30.0\nt0 = n4 / n0\nt1 = n4 / n1\nt2 = n1 * t0\nt3 = n0 * t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 63 kmph , find the speed of the stream ?", + "Output Program": [ + "n0 = 63.0\nt0 = n0 * 2.0\nt1 = t0 / 3.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "working alone at its constant rate , machine a produces x boxes in 10 minutes and working alone at its constant rate , machine b produces 2 x boxes in 5 minutes . how many minutes does it take machines a and b , working simultaneously at their respective constant rates , to produce 7 x boxes ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 5.0\nn3 = 7.0\nt0 = n0 * n3\nt1 = n0 * n1\nt2 = n0 / n0\nt3 = t1 / n2\nt4 = t2 + t3\nanswer = t0 / t4\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "2 trains in same direction at 50 km / hr , 32 km / hr . a man in slower train observes 15 sec elapse before the faster train completely passed by him what is length of faster train ?", + "Output Program": [ + "n0 = 2.0\nn1 = 50.0\nn2 = 32.0\nn3 = 15.0\nt0 = n1 - n2\nt1 = t0 * 1000.0\nt2 = t1 / 3600.0\nanswer = n3 * t2\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "three pipes , a , b , & c are attached to a tank . a & b can fill it in 20 & 30 minutes respectively while c can empty it in 15 minutes . if a , b & c are kept open successively for 4 minute each , how soon will the tank be filled ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 15.0\nn3 = 4.0\nt0 = n3 + n3\nanswer = n3 + t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "john traveled 80 % of the way from yellow - town to green - fields by train at an average speed of 80 miles per hour . the rest of the way john traveled by car at an average speed of v miles per hour . if the average speed for the entire trip was 50 miles per hour , what is v in miles per hour ?", + "Output Program": [ + "n0 = 80.0\nn1 = 80.0\nn2 = 50.0\nt0 = 100.0 / n2\nt1 = n0 / n0\nt2 = 100.0 - n0\nt3 = t0 - t1\nanswer = t2 * t3\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "suppose you work for a manufacturing plant that pays you $ 12.50 an hour plus $ 0.16 for each widget you make . how many widgets must you produce in a 40 hour week to earn $ 700 ( before payroll deductions ) ?", + "Output Program": [ + "n0 = 12.5\nn1 = 0.16\nn2 = 40.0\nn3 = 700.0\nt0 = n0 * n2\nt1 = n3 - t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "1250" + ], + "split": "train" + }, + { + "Input": "a train 110 m long passes a man , running at 6 kmph in the direction opposite to that of the train , in 6 seconds . the speed of the train is", + "Output Program": [ + "n0 = 110.0\nn1 = 6.0\nn2 = 6.0\nt0 = n1 * 0.2778\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n1\nanswer = t3 / 0.2778\nprint(answer)" + ], + "Output Answer": [ + "59.994720422366214" + ], + "split": "train" + }, + { + "Input": "light glows for every 18 seconds . how many times did it between 1 : 57 : 58 and 3 : 20 : 47 am", + "Output Program": [ + "n0 = 18.0\nn1 = 1.0\nn2 = 57.0\nn3 = 58.0\nn4 = 3.0\nn5 = 20.0\nn6 = 47.0\nt0 = n6 + 2.0\nt1 = 2.0 + 60.0\nt2 = n5 + t1\nt3 = t2 * 60.0\nt4 = t0 + t3\nanswer = t4 / n0\nprint(answer)" + ], + "Output Answer": [ + "276.05555555555554" + ], + "split": "train" + }, + { + "Input": "the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 126 \u00b0 of the circle , what percentage of megatek employees are in manufacturing ?", + "Output Program": [ + "n0 = 126.0\nt0 = 3600.0 / 10.0\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "tim came second in math . when his mother asked him how much he had scored , he answered that he got the sum of the first 5 even numbers . his mother immediately worked out the answer . how much had he scored in math ?", + "Output Program": [ + "n0 = 5.0\nt0 = n0 + 1.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day . during the first 7 days , his average wages was $ 87 per day and the average wages during the last 7 days was $ 94 per day . what was his wage on the 8 th day ?", + "Output Program": [ + "n0 = 15.0\nn1 = 90.0\nn2 = 7.0\nn3 = 87.0\nn4 = 7.0\nn5 = 94.0\nn6 = 8.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = n2 * n5\nt3 = t1 + t2\nanswer = t0 - t3\nprint(answer)" + ], + "Output Answer": [ + "83" + ], + "split": "train" + }, + { + "Input": "stacy and heather are 25 miles apart and walk towards each other along the same route . stacy walks at constant rate that is 1 mile per hour fast than heather ' s constant rate of 5 miles / hour . if heather starts her journey 24 minutes after stacy , how far from the original destination has heather walked when the two meet ? .", + "Output Program": [ + "n0 = 25.0\nn1 = 1.0\nn2 = 5.0\nn3 = 24.0\nt0 = n1 + n2\nt1 = n2 + t0\nt2 = t0 / 60.0\nt3 = n3 * t2\nt4 = n0 - t3\nt5 = t4 / t1\nanswer = n2 * t5\nprint(answer)" + ], + "Output Answer": [ + "10.272727272727273" + ], + "split": "train" + }, + { + "Input": "ganesh , ram and sohan together can do a work in 16 days . if ganesh and ram together can do a the same work in 24 days then , how long will take sohan to do the same work ?", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "47.99999999999999" + ], + "split": "train" + }, + { + "Input": "a train 140 m long passes a man , running at 6 kmph in the direction opposite to that of the train , in 6 seconds . the speed of the train is", + "Output Program": [ + "n0 = 140.0\nn1 = 6.0\nn2 = 6.0\nt0 = n1 * 0.2778\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n1\nanswer = t3 / 0.2778\nprint(answer)" + ], + "Output Answer": [ + "77.993280537557" + ], + "split": "train" + }, + { + "Input": "the speed of a train is 120 kmph . what is the distance covered by it in 8 minutes ?", + "Output Program": [ + "n0 = 120.0\nn1 = 8.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 kmph and crosses a 260 m long platform in 26 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 260.0\nn2 = 26.0\nt0 = n0 * 0.2778\nt1 = n1 / t0\nt2 = n2 - t1\nanswer = t0 * t2\nprint(answer)" + ], + "Output Answer": [ + "260.0416" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 10 minutes and pipe b cam empty it in 24 minutes . if both the pipes are opened together after how many minutes should pipe b be closed , so that the tank is filled in 30 minutes ?", + "Output Program": [ + "n0 = 10.0\nn1 = 24.0\nn2 = 30.0\nt0 = n2 / n0\nt1 = t0 - 1.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "20 machines can do a work in 5 days . how many machines are needed to complete the work in 10 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 5.0\nn2 = 10.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a water tank is one - fifth full . pipe a can fill a tank in 15 minutes and pipe b can empty it in 6 minutes . if both the pipes are open , how many minutes will it take to empty or fill the tank completely ?", + "Output Program": [ + "n0 = 15.0\nn1 = 6.0\nt0 = 1.0 + 4.0\nt1 = 1.0 / n1\nt2 = 1.0 / n0\nt3 = 1.0 / t0\nt4 = t1 - t2\nt5 = 1.0 / t4\nanswer = t3 * t5\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a can do a work in 3 days . b can do the same work in 6 days . if both a & b are working together in how many days they will finish the work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a train 280 m long , running with a speed of 36 km / hr will pass a tree in", + "Output Program": [ + "n0 = 280.0\nn1 = 36.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "if 3 spiders make 3 webs in 3 days , then 1 spider will make 1 web in how many days ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 3.0\nn3 = 1.0\nn4 = 1.0\n\nanswer = n0 * n3\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a pipe can fill a cistern in 44 minutes . find the time in which 1 / 11 part of the cistern will be filled ?", + "Output Program": [ + "n0 = 44.0\nn1 = 1.0\nn2 = 11.0\nt0 = n1 / n2\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 54 km / hr crosses a pole in 7 seconds . find the length of the train .", + "Output Program": [ + "n0 = 54.0\nn1 = 7.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "105" + ], + "split": "train" + }, + { + "Input": "it takes 40 identical printing presses 9 hours to print 500,000 papers . how many hours would it take 30 of these printing presses to print 500,000 papers ?", + "Output Program": [ + "n0 = 40.0\nn1 = 9.0\nn2 = 500000.0\nn3 = 30.0\nn4 = 500000.0\nt0 = 1000.0 / 2.0\nt1 = t0 * 1000.0\nt2 = t1 / n0\nt3 = t2 / n1\nt4 = n3 * t3\nanswer = t1 / t4\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a pump can fill a tank with water in 2 hours . because of a leak , it took 2 1 / 5 hours to fill the tank . the leak can drain all the water of the tank in ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 1.0\nn3 = 5.0\nt0 = n2 / n0\nt1 = n0 * n3\nt2 = n2 + t1\nt3 = t2 / n3\nt4 = 1 / t3\nt5 = t0 - t4\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "21.999999999999993" + ], + "split": "train" + }, + { + "Input": "there is a 55 cm line marked at each centimeter and an insect is placed at every centimeter . 9 frogs are trained to jump a constant distance . the first one jumps 2 cm in every leap , the second one jumps 3 cm and so on until the 9 th one jumps 10 cm in every leap and they eat any insect that is available at that spot . if all of them start from start line and finish the entire 55 cm , how many insects were still left after the race was over ?", + "Output Program": [ + "n0 = 55.0\nn1 = 9.0\nn2 = 2.0\nn3 = 3.0\nn4 = 9.0\nn5 = 10.0\nn6 = 55.0\n\nanswer = n2 + n5\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "there is enough provisions for 600 men in an army camp for 35 days . if there were 300 men less , how long will the provision last ?", + "Output Program": [ + "n0 = 600.0\nn1 = 35.0\nn2 = 300.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "if 8 parallel lines in a plane is intersected by a family of another 8 parallel lines , how many parallelograms are there in the network thus formed ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nt0 = n0 - 1.0\nt1 = n1 - 1.0\nt2 = n0 * t0\nt3 = n1 * t1\nt4 = t2 / 2.0\nt5 = t3 / 2.0\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "784" + ], + "split": "train" + }, + { + "Input": "50 men took a dip in a water tank 40 m long and 20 m broad on a religious day . if the average displacement of water by a man is 4 , then the rise in the water level in the tank will be :", + "Output Program": [ + "n0 = 50.0\nn1 = 40.0\nn2 = 20.0\nn3 = 4.0\nt0 = n0 * n3\nt1 = n1 * n2\nt2 = t0 / t1\nanswer = t2 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a train requires 8 seconds to pass a pole while it requires 18 seconds to cross a stationary train which is 400 mtrs long . find the speed of the train .", + "Output Program": [ + "n0 = 8.0\nn1 = 18.0\nn2 = 400.0\nt0 = n1 - n0\nt1 = n2 / t0\nanswer = t1 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "144" + ], + "split": "train" + }, + { + "Input": "a river boat leaves silver town and travels upstream to gold town at an average speed of 3 kilometers per hour . it returns by the same route at an average speed of 7 kilometers per hour . what is the average speed for the round - trip in kilometers per hour ?", + "Output Program": [ + "n0 = 3.0\nn1 = 7.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = t1 * 2.0\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.2" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 51 meters or 11 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 51.0\nn1 = 11.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "204.6862745098039" + ], + "split": "train" + }, + { + "Input": "how many bricks , each measuring 100 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8 m x 6 m x 22.5 cm ?", + "Output Program": [ + "n0 = 100.0\nn1 = 11.25\nn2 = 6.0\nn3 = 8.0\nn4 = 6.0\nn5 = 22.5\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "1600" + ], + "split": "train" + }, + { + "Input": "a group of men decided to do a work in 20 days , but 10 of them became absent . if the rest of the group did the work in 40 days , find the original number of men ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 40.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "the height of the wall is 6 times its width and length of the wall is 7 times its height . if the volume of the wall be 129024 cu . m . its width is", + "Output Program": [ + "n0 = 6.0\nn1 = 7.0\nn2 = 129024.0\nt0 = 1.0 / 3.0\nt1 = n0 * n1\nt2 = n0 * t1\nt3 = n2 / t2\nanswer = t3**min(t0, 5)\nprint(answer)" + ], + "Output Answer": [ + "7.999999999999999" + ], + "split": "train" + }, + { + "Input": "annika hikes at a constant rate of 10 minutes per kilometer . she has hiked 2.5 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 35 minutes . if annika continues east , then turns around and retraces her path to reach the start of the trail in exactly 35 minutes , for how many kilometers total did she hike east ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.5\nn2 = 35.0\nn3 = 35.0\nt0 = n2 / 10.0\nt1 = t0 - n1\nt2 = t1 / 2.0\nanswer = n1 + t2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "the average temperature of the town in the first 4 days of a month was 58 degrees . the average for the second , third , fourth and fifth days was 59 degrees . if the temperatures of the first and fifth days were in the ratio 7 : 8 , then what is the temperature on the fifth day ?", + "Output Program": [ + "n0 = 4.0\nn1 = 58.0\nn2 = 59.0\nn3 = 7.0\nn4 = 8.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = t0 - t1\nanswer = n4 * t2\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "ana climbs up stairs 20 floors building and back . she takes the exact same route both ways . on the trip up she climbs an average speed of 2 steps per second . on the trip back she climbs down at an average speed of 4 steps per second . what is her approximate average speed for the round trip in miles per hour ?", + "Output Program": [ + "n0 = 20.0\nn1 = 2.0\nn2 = 4.0\nt0 = n0 / n1\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "1.3333333333333333" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 36 km and upstream 18 km taking 6 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 36.0\nn1 = 18.0\nn2 = 6.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 40 hr . if all pipes are opened simultaneously , then the cistern will be filled in", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nn2 = 40.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "6.31578947368421" + ], + "split": "train" + }, + { + "Input": "if 5 men undertook a piece of construction work and finished half the job in 15 days . if two men drop out , then the job will be completed in", + "Output Program": [ + "n0 = 5.0\nn1 = 15.0\nt0 = n0 * n1\nt1 = n0 - 2.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "two trains are moving in the same direction at 144 kmph and 72 kmph . the faster train crosses a man in the slower train in 19 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 144.0\nn1 = 72.0\nn2 = 19.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "380" + ], + "split": "train" + }, + { + "Input": "two trains 140 m and 150 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 140.0\nn1 = 150.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "10.439164866810657" + ], + "split": "train" + }, + { + "Input": "if two painters can complete two rooms in two hours , how many painters would it take to do 18 rooms in 6 hours ?", + "Output Program": [ + "n0 = 18.0\nn1 = 6.0\nt0 = n1 * 3.0\nt1 = 3.0 * 3.0\nt2 = t0 * 3.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 12 km / hr and the rate of current is 4 km / hr . the distance travelled downstream in 18 minutes is", + "Output Program": [ + "n0 = 12.0\nn1 = 4.0\nn2 = 18.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "4.8" + ], + "split": "train" + }, + { + "Input": "a boat covers a certain distance downstream in 1 hour , while it comes back in 1 \u00bd hours . if the speed of the stream be 3 kmph , what is the speed of the boat in still water ?", + "Output Program": [ + "n0 = 1.0\nn1 = 1.0\nn2 = 3.0\nt0 = 3.0 / 2.0\nt1 = n2 * t0\nt2 = t0 - n0\nt3 = n2 + t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "working alone , pump a can empty a pool in 4 hours . working alone , pump b can empty the same pool in 2 hours . working together , how many minutes will it take pump a and pump b to empty the pool ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1 / t2\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "a garrison of 2000 men has provisions for 62 days . at the end of 15 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ?", + "Output Program": [ + "n0 = 2000.0\nn1 = 62.0\nn2 = 15.0\nn3 = 20.0\nt0 = n0 * n1\nt1 = n0 * n2\nt2 = t0 - t1\nt3 = t2 / n3\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "2700" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 180 km / hr crosses a pole in 18 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 180.0\nn1 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "900" + ], + "split": "train" + }, + { + "Input": "the speed of a train is 60 kmph . what is the distance covered by it in 20 minutes ?", + "Output Program": [ + "n0 = 60.0\nn1 = 20.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "if 20 men can build a wall 112 metres long in 6 days , what length of a similar wall can be built by 25 men in 3 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 112.0\nn2 = 6.0\nn3 = 25.0\nn4 = 3.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "a rectangular tank measuring 5 m \u00d7 4.5 m \u00d7 2.1 m is dug in the centre of the field measuring 13.5 m \u00d7 2.5 . the earth dug out is spread evenly over the remaining portion of a field . how much is the level of the field raised ?", + "Output Program": [ + "n0 = 5.0\nn1 = 4.5\nn2 = 2.1\nn3 = 13.5\nn4 = 2.5\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nt3 = t1 - t0\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "4.2" + ], + "split": "train" + }, + { + "Input": "two vertical ladders length of 6 m and 11 m are kept vertically at a distance of 12 m . find the top distance of both ladders ?", + "Output Program": [ + "import math\nn0 = 6.0\nn1 = 11.0\nn2 = 12.0\nt0 = n2**min(2.0, 5)\nt1 = n1 - n0\nt2 = t1**min(2.0, 5)\nt3 = t2 + t0\nanswer = math.sqrt(max(0, t3))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 7 hours while it can be emptied by another tap in 9 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 7.0\nn1 = 9.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "31.5" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 32 km and upstream 24 km taking 4 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 32.0\nn1 = 24.0\nn2 = 4.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 18 and 9 days respectively . a does the work for a few days and left , then b continued for 6 days . how many days did a and b work together ?", + "Output Program": [ + "n0 = 18.0\nn1 = 9.0\nn2 = 6.0\nt0 = n2 * 3.0\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a and b can finish a work in 10 days while a alone can do the same work in 20 days . in how many days b alone will complete the work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "on a trip covering 450 km , a bicyclist travels the first 300 km at 20 km per hour and the remainder of the distance at 15 km per hour . what is the average speed , in km per hour , for the entire trip ?", + "Output Program": [ + "n0 = 450.0\nn1 = 300.0\nn2 = 20.0\nn3 = 15.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 / n3\nt3 = t0 + t2\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "jack and jill work at a hospital with 2 other workers . for an internal review , 2 of the 4 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?", + "Output Program": [ + "import math\nn0 = 2.0\nn1 = 2.0\nn2 = 4.0\nt0 = math.factorial(min(15, int(n2)))\nt1 = math.factorial(min(15, int(n1)))\nt2 = math.factorial(min(15, int(n0)))\nt3 = t1 * t2\nt4 = t0 / t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "0.16666666666666666" + ], + "split": "train" + }, + { + "Input": "two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 10 seconds . the length of the faster train is", + "Output Program": [ + "n0 = 36.0\nn1 = 45.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "225.018" + ], + "split": "train" + }, + { + "Input": "in a race of 1000 m , a can beat by 100 m , in a race of 800 m , b can beat c by 100 m . by how many meters will a beat c in a race of 1000 m ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 100.0\nn2 = 800.0\nn3 = 100.0\nn4 = 1000.0\nt0 = n0 - n1\nt1 = n2 - n1\nt2 = t0 * t1\nt3 = t2 / n2\nanswer = n0 - t3\nprint(answer)" + ], + "Output Answer": [ + "212.5" + ], + "split": "train" + }, + { + "Input": "a contractor undertakes to built a walls in 50 days . he employs 60 peoples for the same . however after 25 days he finds that only 40 % of the work is complete . how many more man need to be employed to complete the work in time ?", + "Output Program": [ + "n0 = 50.0\nn1 = 60.0\nn2 = 25.0\nn3 = 40.0\nt0 = 4.0 / 10.0\nt1 = 100.0 - n3\nt2 = t1 / 100.0\nt3 = n1 * t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 300 m long ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 120.0\nn2 = 300.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 6 litres a minute . when the tank is full , the inlet is opened and due to the leak , the tank is empty in 12 hours . how many litres does the cistern hold ?", + "Output Program": [ + "n0 = 6.0\nn1 = 6.0\nn2 = 12.0\nt0 = n2 * 60.0\nt1 = n0 * 60.0\nt2 = t0 / t1\nt3 = n1 * t0\nt4 = t2 - 1.0\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "4320" + ], + "split": "train" + }, + { + "Input": "maxwell leaves his home and walks toward brad ' s house . one hour later , brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 24 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the total time it takes maxwell before he meets up with brad ?", + "Output Program": [ + "n0 = 24.0\nn1 = 4.0\nn2 = 6.0\nt0 = n0 + n2\nt1 = n1 + n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "if 12 men and 16 boys can do a piece of work in 5 days and 13 men together will 24 boys can do it in 4 days . compare the daily work done by a man with that of a boy ?", + "Output Program": [ + "n0 = 12.0\nn1 = 16.0\nn2 = 5.0\nn3 = 13.0\nn4 = 24.0\nn5 = 4.0\nt0 = n4 * n5\nt1 = n1 * n2\nt2 = n0 * n2\nt3 = n3 * n5\nt4 = t0 - t1\nt5 = t2 - t3\nanswer = t4 / t5\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland , which is 480 miles away . the pilot recognizes that the current engine , which can fly only 10 miles per gallon , will not get him there . by how many miles per gallon must the aircraft \u2019 s fuel efficiency be improved to make the flight to cleveland possible ?", + "Output Program": [ + "n0 = 40.0\nn1 = 480.0\nn2 = 10.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "5 cats can catch 5 mice in 5 minutes . how many cats does it take to catch 100 mice in 100 minutes ?", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 5.0\nn3 = 100.0\nn4 = 100.0\nt0 = n0 * 4.0\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "p is 20 % more efficient than q . p can complete a work in 22 days . if p and q work together , how many days will it take to complete the same work ?", + "Output Program": [ + "n0 = 20.0\nn1 = 22.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 + 1.0\nt3 = n1 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999998" + ], + "split": "train" + }, + { + "Input": "at a certain resort , each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants . the 3 restaurants are the family buffet , the dining room , and the snack bar . exactly 21 employees are trained to work in the family buffet , 18 are trained to work in the dining room , and 12 are trained to work in the snack bar . if 4 employees are trained to work in exactly 2 restaurants , how many employees are trained to work in all 3 restaurants ?", + "Output Program": [ + "n0 = 39.0\nn1 = 1.0\nn2 = 3.0\nn3 = 3.0\nn4 = 21.0\nn5 = 18.0\nn6 = 12.0\nn7 = 4.0\nn8 = 2.0\nn9 = 3.0\nt0 = n4 + n5\nt1 = n6 + t0\nt2 = t1 - n7\nt3 = t2 - n0\nanswer = t3 / n8\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a car drives 90 miles on local roads at 30 mph , and 75 miles on the highway at 60 mph , what is the average speed of the entire trip ?", + "Output Program": [ + "n0 = 90.0\nn1 = 30.0\nn2 = 75.0\nn3 = 60.0\nt0 = n0 + n2\nt1 = n0 / n1\nt2 = n2 / n3\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "38.8235294117647" + ], + "split": "train" + }, + { + "Input": "john left home and drove at the rate of 55 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination . how many miles did john drive ?", + "Output Program": [ + "n0 = 55.0\nn1 = 2.0\nn2 = 3.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "275" + ], + "split": "train" + }, + { + "Input": "a man cycling along the road noticed that every 6 minutes a bus overtakes him and every 2 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?", + "Output Program": [ + "n0 = 6.0\nn1 = 2.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 / t1\nt3 = n0 / t2\nt4 = n0 - t3\nanswer = t4 / 1.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a rectangular grassy plot 110 m . by 65 m has a gravel path 2.5 m wide all round it on the inside . find the cost of gravelling the path at 50 paise per sq . metre", + "Output Program": [ + "n0 = 110.0\nn1 = 65.0\nn2 = 2.5\nn3 = 50.0\nt0 = n0 * n1\nt1 = n2 * 2.0\nt2 = n0 - t1\nt3 = n1 - t1\nt4 = t2 * t3\nt5 = t0 - t4\nt6 = n3 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "425" + ], + "split": "train" + }, + { + "Input": "the length of a bridge in meters , which a train 110 - meters long and traveling at 45 km / hr can cross in 30 seconds is ?", + "Output Program": [ + "n0 = 110.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 * 1000.0\nt1 = t0 / 3600.0\nt2 = n2 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "265" + ], + "split": "train" + }, + { + "Input": "light glows for every 16 seconds . how many times did it between 1 : 57 : 58 and 3 : 20 : 47 am", + "Output Program": [ + "n0 = 16.0\nn1 = 1.0\nn2 = 57.0\nn3 = 58.0\nn4 = 3.0\nn5 = 20.0\nn6 = 47.0\nt0 = n6 + 2.0\nt1 = 2.0 + 60.0\nt2 = n5 + t1\nt3 = t2 * 60.0\nt4 = t0 + t3\nanswer = t4 / n0\nprint(answer)" + ], + "Output Answer": [ + "310.5625" + ], + "split": "train" + }, + { + "Input": "if the speed of a man is 54 km per hour , then what is the distance traveled by him in 25 seconds ?", + "Output Program": [ + "n0 = 54.0\nn1 = 25.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "375.03" + ], + "split": "train" + }, + { + "Input": "if 5 spiders make 5 webs in 5 days , then 1 spider will make 1 web in how many days ?", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 5.0\nn3 = 1.0\nn4 = 1.0\n\nanswer = n0 * n3\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 140 kilometers ?", + "Output Program": [ + "n0 = 40.0\nn1 = 140.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "3.5" + ], + "split": "train" + }, + { + "Input": "jack and jill are marathon runners . jack can finish a marathon ( 42 km ) in 6 hours and jill can run a marathon in 4.2 hours . what is the ratio of their average running speed ? ( jack : jill )", + "Output Program": [ + "n0 = 42.0\nn1 = 6.0\nn2 = 4.2\nt0 = n0 / n1\nt1 = n0 / n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.7" + ], + "split": "train" + }, + { + "Input": "speed of a boat in still water is 5 km / hr and speed of the stream is 2 kmph . a man rows to a place at a distance of 252 km and comes back to the starting point the total time taken by him is .", + "Output Program": [ + "n0 = 5.0\nn1 = 2.0\nn2 = 252.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nt4 = t2 + t3\nt5 = t4 / 60.0\nanswer = t5 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "an engineer undertakes a project to build a road 10 km long in 30 days and employs 30 men for the purpose . after 10 days , he finds only 2 km of the road has been completed . find the ( approximate ) number of extra men he must employ to finish the work in time .", + "Output Program": [ + "n0 = 10.0\nn1 = 30.0\nn2 = 30.0\nn3 = 10.0\nn4 = 2.0\nt0 = n0 - n4\nt1 = n1 - n3\nt2 = n2 * t0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t4 / t3\nanswer = t5 - n2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "8 identical machines , working alone and at their constant rates , take 6 hours to complete a job lot . how long would it take for 6 such machines to perform the same job ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 6.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "it takes avery 3 hours to build a brick wall while tom can do it in 2 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1.0 - t2\nt4 = t3 / t1\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "20.000000000000007" + ], + "split": "train" + }, + { + "Input": "a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 200 kilometers ?", + "Output Program": [ + "n0 = 40.0\nn1 = 200.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "12 men can complete a piece of work in 25 days . in how many days can 20 men complete that piece of work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 25.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 9 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "apple street begins at peach street and runs directly east for 3.2 kilometers until it ends when it meets cherry street . apple street is intersected every 200 meters by a perpendicular street , and each of those streets other than peach street and cherry street is given a number beginning at 1 st street ( one block east of peach street ) and continuing consecutively ( 2 nd street , 3 rd street , etc . . . ) until the highest - numbered street one block west of cherry street . what is the highest - numbered street that intersects apple street ?", + "Output Program": [ + "n0 = 3.2\nn1 = 200.0\nn2 = 1.0\nn3 = 2.0\nn4 = 3.0\nt0 = n0 * 1000.0\nt1 = t0 / n1\nanswer = t1 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a , b and c completed a piece of work , a worked for 6 days , b for 9 days and c for 4 days . their daily wages were in the ratio of 3 : 4 : 5 . find the daily wages of c , if their total earning was $ 1480 ?", + "Output Program": [ + "n0 = 6.0\nn1 = 9.0\nn2 = 4.0\nn3 = 3.0\nn4 = 4.0\nn5 = 5.0\nn6 = 1480.0\nt0 = n0 * n3\nt1 = n1 * n2\nt2 = n2 * n5\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = n6 / t4\nanswer = n5 * t5\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "jack and jill are marathon runners . jack can finish a marathon ( 42 km ) in 5 hours and jill can run a marathon in 4.2 hours . what is the ratio of their average running speed ? ( jack : jill )", + "Output Program": [ + "n0 = 42.0\nn1 = 5.0\nn2 = 4.2\nt0 = n0 / n1\nt1 = n0 / n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.8400000000000001" + ], + "split": "train" + }, + { + "Input": "a certain automobile company \u2019 s best - selling model is the speedster . the speedster , like all of their other models , comes in coupe and convertible styles . 2 / 3 of the current inventory is speedsters , of which 4 / 5 are convertibles . if there are 50 vehicles that are not speedsters , how many speedster convertibles are there ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 4.0\nn3 = 5.0\nn4 = 50.0\nt0 = n2 / n3\nt1 = n0 / n1\nt2 = 1.0 - t1\nt3 = n4 / t2\nt4 = t3 * t1\nanswer = t0 * t4\nprint(answer)" + ], + "Output Answer": [ + "79.99999999999999" + ], + "split": "train" + }, + { + "Input": "working independently , tina can do a certain job in 12 hours . working independently , ann can do the same job in 9 hours . if tina works independently at the job for 8 hours and then ann works independently , how many hours will it take ann to complete the remainder of the jobs ?", + "Output Program": [ + "n0 = 12.0\nn1 = 9.0\nn2 = 8.0\nt0 = n0 - n2\nt1 = n0 / t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a room of 5 m 44 cm long and 3 m 74 cm broad is to be paved with squre tiles . find the least number of squre tiles required to cover the floor .", + "Output Program": [ + "n0 = 5.0\nn1 = 44.0\nn2 = 3.0\nn3 = 74.0\nt0 = n0 * 100.0\nt1 = n2 * 100.0\nt2 = 2.0**min(4.0, 5)\nt3 = n1 + t0\nt4 = n3 + t1\nt5 = t3 / t2\nt6 = t3 * t4\nt7 = t5**min(2.0, 5)\nanswer = t6 / t7\nprint(answer)" + ], + "Output Answer": [ + "176" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 14 m at the rate of rs . 2.50 a meter ?", + "Output Program": [ + "import math\nn0 = 14.0\nn1 = 2.5\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "109.95574287564276" + ], + "split": "train" + }, + { + "Input": "two numbers have a h . c . f of 12 and a product of two numbers is 2460 . find the l . c . m of the two numbers ?", + "Output Program": [ + "n0 = 12.0\nn1 = 2460.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "205" + ], + "split": "train" + }, + { + "Input": "a train is moving at 6 / 7 of its usual speed . the train is 15 minutes too late . what is the usual time ( in hours ) for the train to complete the journey ?", + "Output Program": [ + "n0 = 6.0\nn1 = 7.0\nn2 = 15.0\nt0 = n0 / n1\nt1 = n2 * t0\nt2 = 1.0 - t0\nt3 = 1 / t2\nt4 = t3 * t1\nanswer = t4 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "1.4999999999999993" + ], + "split": "train" + }, + { + "Input": "l . c . m of two numbers is 192 and there h . c . f is 16 . if one of them is 48 . find the other", + "Output Program": [ + "n0 = 192.0\nn1 = 16.0\nn2 = 48.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "64" + ], + "split": "train" + }, + { + "Input": "at 3.40 , the hour hand and the minute hand of a clock form an angle of", + "Output Program": [ + "n0 = 3.4\nt0 = 1.0 + 4.0\nt1 = 2.0**min(3.0, 5)\nt2 = t1 * 3.0\nt3 = n0 * t0\nt4 = t2 * 10.0\nt5 = t3 - t0\nt6 = t5 - 1.0\nt7 = t6 * 10.0\nanswer = t4 - t7\nprint(answer)" + ], + "Output Answer": [ + "130" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 40 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 45 km downstream .", + "Output Program": [ + "n0 = 40.0\nn1 = 5.0\nn2 = 45.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 10 m / s . what is the its speed in kmph .", + "Output Program": [ + "n0 = 10.0\n\nanswer = n0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "the sum of 7 consecutive integers is 980 . how many of them are prime ?", + "Output Program": [ + "n0 = 7.0\nn1 = 980.0\nt0 = 1.0 + 2.0\nt1 = t0 + 3.0\nt2 = 10.0 - t1\nanswer = t2 - 2.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 30 percent .", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 30.0\nt0 = n2 / n1\nanswer = t0 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "one hour after yolanda started walking from x to y , a distance of 31 miles , bob started walking along the same road from y to x . if yolanda \u00e2 s walking rate was 1 miles per hour and bob \u00e2 s was 2 miles per hour , how many miles had bob walked when they met ?", + "Output Program": [ + "n0 = 31.0\nn1 = 1.0\nn2 = 2.0\nt0 = n1 + n2\nt1 = n0 - n1\nt2 = t1 / t0\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 500 resolutions .", + "Output Program": [ + "n0 = 22.4\nn1 = 500.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "703.9999999999999" + ], + "split": "train" + }, + { + "Input": "in a manufacturing plant , it takes 36 machines 4 hours of continuous work to fill 4 standard orders . at this rate , how many hours of continuous work by 72 machines are required to fill 12 standard orders ?", + "Output Program": [ + "n0 = 36.0\nn1 = 4.0\nn2 = 4.0\nn3 = 72.0\nn4 = 12.0\nt0 = n0 * n4\nt1 = t0 * n1\nt2 = t1 / n3\nanswer = t2 / n2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a person can swim in still water at 4 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 16 km ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 16.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "peter can cover a certain distance in 1 hr . 24 min . by covering two - third of the distance at 4 kmph and the rest at 5 kmph . find the total distance .", + "Output Program": [ + "n0 = 1.0\nn1 = 24.0\nn2 = 4.0\nn3 = 5.0\nt0 = n0 / 3.0\nt1 = 2.0 / 3.0\nt2 = 10.0 * 4.0\nt3 = t0 / n3\nt4 = t1 / 4.0\nt5 = 100.0 - t2\nt6 = t3 + t4\nt7 = n1 / t5\nt8 = n0 + t7\nanswer = t8 / t6\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "train" + }, + { + "Input": "two trains 140 m and 180 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 140.0\nn1 = 180.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.519078473722104" + ], + "split": "train" + }, + { + "Input": "if 20 men can build a wall 66 metres long in 8 days , what length of a similar can be built by 86 men in 8 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 66.0\nn2 = 8.0\nn3 = 86.0\nn4 = 8.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "283.8" + ], + "split": "train" + }, + { + "Input": "the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 770 the other is", + "Output Program": [ + "n0 = 2310.0\nn1 = 30.0\nn2 = 770.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "two trains , each 100 m long , moving in opposite directions , cross other in 20 sec . if one is moving twice as fast the other , then the speed of the faster train is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 20.0\nt0 = n0 + n0\nt1 = 1.0 + 2.0\nt2 = n1 * t1\nt3 = t0 / t2\nt4 = t3 * 2.0\nt5 = t4 * 3600.0\nanswer = t5 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "how long does a train 150 m long traveling at 36 kmph takes to cross a signal post ?", + "Output Program": [ + "n0 = 150.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "14.998800095992321" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 90 km / hr crosses a pole in 6 seconds . find the length of the train .", + "Output Program": [ + "n0 = 90.0\nn1 = 6.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "the distance between west - town to east - town is 20 kilometers . two birds start flying simultaneously towards one another , the first leaving from west - town at a speed of 4 kilometers per minute and the second bird , leaving from east - town , at a speed of 1 kilometers per minute . what will be the distance , in kilometers , between the meeting point and west - town ?", + "Output Program": [ + "n0 = 20.0\nn1 = 4.0\nn2 = 1.0\n\nanswer = n1 * 4.0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a and b complete a work in 6 days . a alone can do it in 10 days . if both together can do the work in how many days ?", + "Output Program": [ + "n0 = 6.0\nn1 = 10.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.75" + ], + "split": "train" + }, + { + "Input": "a man goes downstream at 14 kmph , and upstream 8 kmph . the speed of the stream is", + "Output Program": [ + "n0 = 14.0\nn1 = 8.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a train overtakes two person who are walking in the same direction in which the train is going , at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively . the length of the train is :", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nn2 = 9.0\nn3 = 10.0\nt0 = n1 * 0.2778\nt1 = n0 * 0.2778\nt2 = n3 * t0\nt3 = n2 * t1\nt4 = t2 - t3\nt5 = t4 - t1\nanswer = n2 * t5\nprint(answer)" + ], + "Output Answer": [ + "50.004" + ], + "split": "train" + }, + { + "Input": "a and b together can do a piece of work in 6 days and a alone can do it in 10 days . in how many days can b alone can do it ?", + "Output Program": [ + "n0 = 6.0\nn1 = 10.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "15.000000000000004" + ], + "split": "train" + }, + { + "Input": "it takes avery 3 hours to build a brick wall while tom can do it in 2.5 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.5\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1.0 - t2\nt4 = t3 / t1\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "39.99999999999999" + ], + "split": "train" + }, + { + "Input": "a pump can fill a tank with water in 2 hours . because of a leak , it took 2 1 / 3 hours to fill the tank . the leak can drain all the water in ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 1.0\nn3 = 3.0\nt0 = n2 / n0\nt1 = n0 * n3\nt2 = n2 + t1\nt3 = t2 / n3\nt4 = 1 / t3\nt5 = t0 - t4\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "13.999999999999995" + ], + "split": "train" + }, + { + "Input": "if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 55 minutes ?", + "Output Program": [ + "n0 = 15.0\nn1 = 55.0\nt0 = 60.0 / n0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "220" + ], + "split": "train" + }, + { + "Input": "a boy is traveling from his house to school at 10 km / hr and reached school 2 hours late . next day he traveled 20 km / hr and reached 1 hour early . then find the distance between house and school ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 20.0\nn3 = 1.0\nt0 = n0 * n1\nt1 = n2 - n0\nt2 = n2 + t0\nt3 = t2 / t1\nt4 = n1 + t3\nanswer = n0 * t4\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a train 450 m long running at 126 kmph crosses a platform in 20 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 450.0\nn1 = 126.0\nn2 = 20.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "250.05600000000004" + ], + "split": "train" + }, + { + "Input": "a boatman can row 96 km downstream in 8 hr . if the speed of the current is 4 km / hr , then find in what time will be able to cover 8 km upstream ?", + "Output Program": [ + "n0 = 96.0\nn1 = 8.0\nn2 = 4.0\nn3 = 8.0\nt0 = n0 / n1\nt1 = t0 - n2\nt2 = t1 - n2\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a driver goes on a trip of 50 kilometers , the first 25 kilometers at 60 kilometers per hour and the remaining distance at 30 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ?", + "Output Program": [ + "n0 = 50.0\nn1 = 25.0\nn2 = 60.0\nn3 = 30.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 / n3\nt3 = t0 + t2\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "the measurements obtained for the interior dimensions of a rectangular box are 150 cm by 150 cm by 225 cm . if each of the three measurements has an error of at most 1 centimeter , which of the following is the closes maximum possible difference , in cubic centimeters , between the actual capacity of the box and the capacity computed using these measurements ?", + "Output Program": [ + "n0 = 150.0\nn1 = 150.0\nn2 = 225.0\nn3 = 1.0\nt0 = n0 * n0\nt1 = n0 * n2\nt2 = t0 + t1\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "90000" + ], + "split": "train" + }, + { + "Input": "earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops . working together , how long will it take earl and ellen to stuff 360 envelopes", + "Output Program": [ + "n0 = 36.0\nn1 = 360.0\nt0 = 3.0 / 2.0\nt1 = n0 / t0\nt2 = n0 + t1\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "if a man walks at the rate of 4 kmph , he misses a train by only 6 min . however , if he walks at the rate of 5 kmph he reaches the station 6 minutes before the arrival of the train . the distance covered by him to reach the station is", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 5.0\nn3 = 6.0\nt0 = n0 * n1\nt1 = n1 * n2\nt2 = t0 + t1\nt3 = n1 + t2\nt4 = t3 / 60.0\nanswer = n0 * t4\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "machine a can process 6000 envelopes in 3 hours . machines b and c working together but independently can process the same number of envelopes in 2.5 hours . if machines a and c working together but independently process 3000 envelopes in 1 hour , then how many hours would it take machine b to process 2800 envelopes .", + "Output Program": [ + "n0 = 6000.0\nn1 = 3.0\nn2 = 2.5\nn3 = 3000.0\nn4 = 1.0\nn5 = 2800.0\nt0 = n0 / n2\nt1 = n3 / n4\nt2 = n0 / n1\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = n5 / t4\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 4 days . b can do it in 6 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = n2 * t3\nt5 = t0 - t4\nt6 = t5 / n2\nanswer = t0 / t6\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 800 metre long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 800.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "47.99616030717543" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 18 m at the rate of rs . 2.50 a meter ?", + "Output Program": [ + "import math\nn0 = 18.0\nn1 = 2.5\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "141.3716694115407" + ], + "split": "train" + }, + { + "Input": "a train 500 m long can cross an electric pole in 10 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 500.0\nn1 = 10.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "the sum of two consecutive numbers is 452 . the greatest among these three number is :", + "Output Program": [ + "n0 = 452.0\nt0 = n0 + 1.0\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "226.5" + ], + "split": "train" + }, + { + "Input": "two trains 200 m and 180 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively . in how much time will they cross each other , if they are running in the same direction ?", + "Output Program": [ + "n0 = 200.0\nn1 = 180.0\nn2 = 40.0\nn3 = 45.0\nt0 = n0 + n1\nt1 = n3 - n2\nt2 = t0 / 1000.0\nt3 = t2 / t1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "273.59999999999997" + ], + "split": "train" + }, + { + "Input": "a boats man can row in still water at speed of 7 km / hr . it takes 6 hours more to travel the same distance in upstream than in downstream if the speed of the river is 3 km / hr . what is the distance between the two destinations ?", + "Output Program": [ + "n0 = 7.0\nn1 = 6.0\nn2 = 3.0\nt0 = n1 * 4.0\nt1 = t0 / n1\nanswer = t1 * 10.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "10 men and 15 women together can complete a work in 7 days . it takes 100 days for one man alone to complete the same work . how many days will be required for one woman alone to complete the same work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 7.0\nn3 = 100.0\nt0 = n3 * 1.0\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = t0 - t1\nt4 = t0 / t3\nanswer = t4 * t2\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "a can do a work in 60 days . he works for 15 days and later b alone completes the work in 30 days . in what time will they together complete the work ?", + "Output Program": [ + "n0 = 60.0\nn1 = 15.0\nn2 = 30.0\nt0 = n2 + 10.0\nt1 = 1 / n0\nt2 = 1 / t0\nt3 = t2 + t1\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "23.999999999999996" + ], + "split": "train" + }, + { + "Input": "jerry and beth each drove from smallville to crown city by different routes . jerry drove an an average speed of 40 miles per hour and completed the trip in 30 minutes . beth ' s route was 5 miles longer , and it took her 20 minutes more than jerry to complete the trip . how many miles per hour was beth ' s average speed on this trip ?", + "Output Program": [ + "n0 = 40.0\nn1 = 30.0\nn2 = 5.0\nn3 = 20.0\nt0 = n1 + n3\nt1 = n0 / 60.0\nt2 = n1 * t1\nt3 = n2 + t2\nt4 = t3 / t0\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a can do a work in 15 days and b in 20 days . if they work on it together for 3 days , then the fraction of the work that is left is", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 3.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.65" + ], + "split": "train" + }, + { + "Input": "machine a can finish a job in 4 hours , machine \u0432 can finish the job in 12 hours , and machine \u0441 can finish the job in 8 hours . how many hours will it take for a , b , and \u0441 together to finish the job ?", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nn2 = 8.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "2.181818181818182" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 24 minutes . pipe b can fill the same tank 6 times faster than pipe a . if both the pipes are connected to the tank so that they fill the tank simultaneously , how long will it take for the empty tank to overflow ?", + "Output Program": [ + "n0 = 24.0\nn1 = 6.0\nt0 = 1.0 / n0\nt1 = n1 / n0\nt2 = t0 + t1\nt3 = t2 + t0\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "2.9999999999999996" + ], + "split": "train" + }, + { + "Input": "a man complete a journey in 10 hours . he travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km", + "Output Program": [ + "n0 = 10.0\nn1 = 21.0\nn2 = 24.0\nt0 = n1 + n2\nt1 = n1 * n2\nt2 = n0 * t1\nt3 = t2 / t0\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "224" + ], + "split": "train" + }, + { + "Input": "if the wheel is 14 cm then the number of revolutions to cover a distance of 1672 cm is ?", + "Output Program": [ + "n0 = 14.0\nn1 = 1672.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "19.017288444040037" + ], + "split": "train" + }, + { + "Input": "the speed at which a woman can row a boat in still water is 120 kmph . if she rows downstream , where the speed of current is 60 kmph , what time will he take to cover 500 metres ?", + "Output Program": [ + "n0 = 120.0\nn1 = 60.0\nn2 = 500.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "9.99920006399488" + ], + "split": "train" + }, + { + "Input": "a train leaves mumabai at 9 am at a speed of 45 kmph . after one hour , another train leaves mumbai in the same direction as that of the first train at a speed of 90 kmph . when and at what distance from mumbai do the two trains meet ?", + "Output Program": [ + "n0 = 9.0\nn1 = 45.0\nn2 = 90.0\nt0 = n1 * 1.0\nt1 = n2 - n1\nt2 = t0 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a space shuttle orbits the earth at about 12 kilometers per second . this speed is equal to how many kilometers per hour ?", + "Output Program": [ + "n0 = 12.0\n\nanswer = n0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "43200" + ], + "split": "train" + }, + { + "Input": "16 machines can do a work in 10 days . how many machines are needed to complete the work in 40 days ?", + "Output Program": [ + "n0 = 16.0\nn1 = 10.0\nn2 = 40.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 21 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 21.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "a person buys 18 local tickets for rs 110 . each first class ticket costs rs 10 and each second class ticket costs rs 3 . what will another lot of 18 tickets in which the numbers of first class and second class tickets are interchanged cost ?", + "Output Program": [ + "n0 = 18.0\nn1 = 110.0\nn2 = 10.0\nn3 = 3.0\nn4 = 18.0\nt0 = n0 * n3\nt1 = n2 * n2\nt2 = n2 - n3\nt3 = n1 - t0\nt4 = t3 / t2\nt5 = n3 * t4\nanswer = t5 + t1\nprint(answer)" + ], + "Output Answer": [ + "124" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 90 km / hr crosses a pole in 10 seconds . find the length of the train .", + "Output Program": [ + "n0 = 90.0\nn1 = 10.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "train" + }, + { + "Input": "a contractor is engaged for 30 days on the condition thathe receives rs . 25 for each day he works & is fined rs . 7.50 for each day is absent . he gets rs . 425 in all . for how many days was he absent ?", + "Output Program": [ + "n0 = 30.0\nn1 = 25.0\nn2 = 7.5\nn3 = 425.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = n3 + t1\nt3 = t2 / t0\nanswer = n0 - t3\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a secret can be told only 2 persons in 5 minutes . the same person tells to 2 more persons and so on . how long will take to tell it to 768 persons ?", + "Output Program": [ + "n0 = 2.0\nn1 = 5.0\nn2 = 2.0\nn3 = 768.0\nt0 = n0 + n1\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "in what time will a train 110 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 110.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.7497800175985923" + ], + "split": "train" + }, + { + "Input": "two tains are running in opposite directions with the same speed . if the length of each train is 120 metres and they cross each other in 12 seconds , then the speed of each train ( in km / hr ) is :", + "Output Program": [ + "n0 = 120.0\nn1 = 12.0\nt0 = n0 + n0\nt1 = t0 / n1\nt2 = t1 / 2.0\nanswer = t2 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "two numbers n and 14 have lcm = 56 and gcf = 10 . find n .", + "Output Program": [ + "n0 = 14.0\nn1 = 56.0\nn2 = 10.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "if 3 people can do 3 times of a particular work in 3 days , then how many days would it take 5 people to do 5 times of that particular work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 3.0\nn3 = 5.0\nn4 = 5.0\nt0 = n3 / n3\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "the sides of a rectangular field are in the ratio 3 : 4 . if the area of the field is 8748 sq . m , the cost of fencing the field @ 25 paise per metre is", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 4.0\nn2 = 8748.0\nn3 = 25.0\nt0 = n0 * n1\nt1 = n2 / t0\nt2 = math.sqrt(max(0, t1))\nt3 = n0 * t2\nt4 = n1 * t2\nt5 = 2 * (t3 + t4) # perimetere of rectangle\nt6 = n3 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "94.5" + ], + "split": "train" + }, + { + "Input": "if 10 men do a work in 80 days , in how many days will 20 men do it ?", + "Output Program": [ + "n0 = 10.0\nn1 = 80.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a trader sells 60 meters of cloth for rs . 8400 at the profit of rs . 12 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 60.0\nn1 = 8400.0\nn2 = 12.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "128" + ], + "split": "train" + }, + { + "Input": "a girl goes to her school from her house at a speed of 6 km / hr and returns at a speed of 4 km / hr . if she takes 10 hours in going and coming back , the distance between her school and house is", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = n2 * t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "the edges of a cuboid are 2 cm , 5 cm and 8 cm . find the volume of the cuboid ?", + "Output Program": [ + "n0 = 2.0\nn1 = 5.0\nn2 = 8.0\n\nanswer = n0 * n1 * n2\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "a can do a work in 21 days and b alone can do it 28 days , they begin the work together , but a left after some days . b completed the remaining work in 21 days . after how many days did a leave ?", + "Output Program": [ + "n0 = 21.0\nn1 = 28.0\nn2 = 21.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t1 + t0\nt3 = n0 * t0\nt4 = 1.0 - t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 9 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 9.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "1000" + ], + "split": "train" + }, + { + "Input": "a train of length l is traveling at a constant velocity and passes a pole in t seconds . if the same train travelling at the same velocity passes a platform in 4 t seconds , then what is the length of the platform ?", + "Output Program": [ + "n0 = 4.0\n\nanswer = n0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "john and amanda stand at opposite ends of a straight road and start running towards each other at the same moment . their rates are randomly selected in advance so that john runs at a constant rate of 2 , 3 , 4 , or 5 miles per hour and amanda runs at a constant rate of 3 , 4 , 5 , 6 , or 7 miles per hour . what is the probability that john has traveled farther than amanda by the time they meet ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 4.0\nn3 = 5.0\nn4 = 3.0\nn5 = 4.0\nn6 = 5.0\nn7 = 6.0\nn8 = 7.0\nt0 = n2 * n3\nanswer = 3.0 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.15" + ], + "split": "train" + }, + { + "Input": "while driving from a - ville to b - town , harriet drove at a constant speed of 90 kilometers per hour . upon arriving in b - town , harriet immediately turned and drove back to a - ville at a constant speed of 160 kilometers per hour . if the entire trip took 5 hours , how many minutes did it take harriet to drive from a - ville to b - town ?", + "Output Program": [ + "n0 = 90.0\nn1 = 160.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = n0 * n2\nt2 = t1 / t0\nt3 = n2 - t2\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "192" + ], + "split": "train" + }, + { + "Input": "an engine moves at the speed of 60 kmph without any coaches attached to it . speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached . when 9 coaches are attached speed decreases to 48 kmph . what will be the speed of train when 25 coaches are attached .", + "Output Program": [ + "import math\nn0 = 60.0\nn1 = 9.0\nn2 = 48.0\nn3 = 25.0\nt0 = math.sqrt(max(0, n1))\nt1 = math.sqrt(max(0, n3))\nt2 = n0 - n2\nt3 = t2 / t0\nt4 = t3 * t1\nanswer = n0 - t4\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a train traveling at 72 kmph crosses a platform in 34 seconds and a man standing on the platform in 18 seconds . what is the length of the platform in meters ?", + "Output Program": [ + "n0 = 72.0\nn1 = 34.0\nn2 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nt2 = n1 * t1\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" + ], + "Output Answer": [ + "320" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a train is 45 kmph and including stoppages it is 34 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 45.0\nn1 = 34.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "14.666666666666671" + ], + "split": "train" + }, + { + "Input": "5 men or 8 women do equal amount of work in a day . a job requires 3 men and 5 women to finish the job in 10 days how many woman are required to finish the job in 14 days .", + "Output Program": [ + "n0 = 5.0\nn1 = 8.0\nn2 = 3.0\nn3 = 5.0\nn4 = 10.0\nn5 = 14.0\nt0 = n1 / n0\nt1 = n2 * t0\nt2 = n0 + t1\nt3 = n4 * t2\nanswer = t3 / n5\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "ajay can walk 10 km in 1 hour . in how many hours he can walk 50 km ?", + "Output Program": [ + "n0 = 10.0\nn1 = 1.0\nn2 = 50.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 1500 resolutions ?", + "Output Program": [ + "n0 = 22.4\nn1 = 1500.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "2111.9999999999995" + ], + "split": "train" + }, + { + "Input": "a 300 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds . what is the lenght of other train .", + "Output Program": [ + "n0 = 300.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "200.03999999999996" + ], + "split": "train" + }, + { + "Input": "a goods train runs at a speed of 72 kmph and crosses a 240 m long platform in 26 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 240.0\nn2 = 26.0\nt0 = n0 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n1\nprint(answer)" + ], + "Output Answer": [ + "280.0416" + ], + "split": "train" + }, + { + "Input": "18 buckets of water fill a tank when the capacity of each bucket is 60 litres . how many buckets will be needed to fill the same tank , if the capacity of each bucket is 5 litres ?", + "Output Program": [ + "n0 = 18.0\nn1 = 60.0\nn2 = 5.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "216" + ], + "split": "train" + }, + { + "Input": "a large tanker can be filled by two pipes a and b in 30 and 15 hours respectively . how many hours will it take to fill the tanker from empty state if a and b fill it together ?", + "Output Program": [ + "n0 = 30.0\nn1 = 15.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "an athlete runs 200 metres race in 24 seconds . what is his speed ?", + "Output Program": [ + "n0 = 200.0\nn1 = 24.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "30.000000000000004" + ], + "split": "train" + }, + { + "Input": "pipe b that can fill a tank in an hour and pipe a that can fill the tank in half an hour are opened simultaneously when the tank is empty . pipe a is shut 15 minutes before the tank overflows . when will the tank overflow ?", + "Output Program": [ + "n0 = 15.0\nt0 = 1.0 / 2.0\nt1 = 1.0 * 60.0\nt2 = 1.0 / t1\nt3 = t0 * 60.0\nt4 = 1.0 / t3\nt5 = n0 * t2\nt6 = t4 + t2\nt7 = 1.0 - t5\nt8 = t7 / t6\nanswer = n0 + t8\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "working together , tim and tom can type 12 pages in one hour . if they would be able to type 15 pages in one hour if tom increases his typing speed by 30 % , what is the ratio of tom ' s normal typing speed to that of tim ?", + "Output Program": [ + "n0 = 12.0\nn1 = 15.0\nn2 = 30.0\nt0 = 1.0 * 100.0\nt1 = n1 - n0\nt2 = n2 / t0\nt3 = t1 / t2\nt4 = n0 - t3\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "10 men , working 6 hours a day can complete a work in 18 days . how many hours a day must 15 men work to complete the same work in 12 days ?", + "Output Program": [ + "n0 = 10.0\nn1 = 6.0\nn2 = 18.0\nn3 = 15.0\nn4 = 12.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "15 men can complete a piece of work in 30 days . in how many days can 10 men complete that piece of work ?", + "Output Program": [ + "n0 = 15.0\nn1 = 30.0\nn2 = 10.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "6 bells commence tolling together and toll at intervals of 2 , 4 , 6 , 8 10 and 12 seconds respectively . in 30 minutes , how many times do they toll together ?", + "Output Program": [ + "import scipy\nn0 = 6.0\nn1 = 2.0\nn2 = 4.0\nn3 = 6.0\nn4 = 8.0\nn5 = 10.0\nn6 = 12.0\nn7 = 30.0\nt0 = scipy.lcm(int(n5), int(n6))\nt1 = n7 * 60.0\nt2 = scipy.lcm(int(n4), int(t0))\nt3 = t1 / t2\nanswer = t3 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "the sum of 4 consecutive even numbers is 52 , find the third number ?", + "Output Program": [ + "n0 = 4.0\nn1 = 52.0\nt0 = n1 / n0\nanswer = t0 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "joe drives 420 miles at 60 miles per hour , and then he drives the next 120 miles at 40 miles per hour . what is his average speed for the entire trip in miles per hour ?", + "Output Program": [ + "n0 = 420.0\nn1 = 60.0\nn2 = 120.0\nn3 = 40.0\nt0 = n0 + n2\nt1 = n0 / n1\nt2 = n2 / n3\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "a car gets 28 miles to the gallon . if it is modified to use a solar panel , it will use only 80 percent as much fuel as it does now . if the fuel tank holds 15 gallons , how many more miles will the car be able to travel , per full tank of fuel , after it has been modified ?", + "Output Program": [ + "n0 = 28.0\nn1 = 80.0\nn2 = 15.0\nt0 = n0 / n1\nt1 = n0 * n2\nt2 = t0 * 100.0\nt3 = n2 * t2\nanswer = t3 - t1\nprint(answer)" + ], + "Output Answer": [ + "105" + ], + "split": "train" + }, + { + "Input": "a cistern 10 m long and 8 m wide contains water up to a depth of 1 m 50 cm . the total area of the wet surface is :", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nn2 = 1.0\nn3 = 50.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "134" + ], + "split": "train" + }, + { + "Input": "jim and cara begin running at the same time and they start at the same place on a straight path . jim runs at 6 miles per hour , and cara runs at 5 miles per hour . after 30 minutes , jim stops to stretch . if it takes jim 18 minutes to stretch and cara continues to run during this time , how many minutes will it take jim to catch up to cara ?", + "Output Program": [ + "n0 = 6.0\nn1 = 5.0\nn2 = 30.0\nn3 = 18.0\nt0 = n3 / 60.0\nt1 = n2 / 60.0\nt2 = n1 * t0\nt3 = n1 * t1\nt4 = n0 * t1\nt5 = t2 + t3\nt6 = t5 - t4\nanswer = t6 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "worker a takes 5 hours to do a job . worker b takes 10 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?", + "Output Program": [ + "n0 = 5.0\nn1 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.333333333333333" + ], + "split": "train" + }, + { + "Input": "every day , the value of a stock rises by exactly two dollars in the morning , and then falls by exactly one dollar in the afternoon . if the stock ' s value at the start of the first day is $ 100 , on what day will the stock ' s value first reach $ 200 ?", + "Output Program": [ + "n0 = 100.0\nn1 = 200.0\nt0 = n1 - n0\nt1 = 2.0 - 1.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a tank is filled by 3 pipes with uniform flow . the first two pipes operating simultaneously fill the tan in the same time during which the tank is filled by the third pipe alone . the 2 nd pipe fills the tank 5 hours faster than first pipe and 4 hours slower than third pipe . the time required by first pipe is", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 2.0\nn2 = 5.0\nn3 = 4.0\nt0 = n2 + n3\nt1 = n1 * t0\nt2 = n2 * t0\nt3 = t2 * 4.0\nt4 = t1**min(2.0, 5)\nt5 = t4 - t3\nt6 = math.sqrt(max(0, t5))\nt7 = t1 + t6\nanswer = t7 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a train 210 m in length crosses a telegraph post in 13 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 210.0\nn1 = 13.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "58.15384615384615" + ], + "split": "train" + }, + { + "Input": "a van takes 5 hours to cover a distance of 450 km . what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time ?", + "Output Program": [ + "n0 = 5.0\nn1 = 450.0\nn2 = 3.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "if 10 parallel lines in a plane is intersected by a family of another 8 parallel lines , how many parallelograms are there in the network thus formed ?", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nt0 = n0 - 1.0\nt1 = n1 - 1.0\nt2 = n0 * t0\nt3 = n1 * t1\nt4 = t2 / 2.0\nt5 = t3 / 2.0\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "1260" + ], + "split": "train" + }, + { + "Input": "two spherical balls lie on the ground touching . if one of the balls has a radius of 4 cm , and the point of contact is 6 cm above the ground , what is the radius of the other ball ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nt0 = n0 + n1\nanswer = t0 + 4.0\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "a train 150 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train . find the speed of the train .", + "Output Program": [ + "n0 = 150.0\nn1 = 6.0\nn2 = 5.0\nt0 = n1 * 0.2778\nt1 = n0 / t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "84.99280057595394" + ], + "split": "train" + }, + { + "Input": "1000 men have provisions for 20 days . if 200 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 20.0\nn2 = 200.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "16.666666666666668" + ], + "split": "train" + }, + { + "Input": "david biked 16 1 / 3 miles in 2 hours and 20 minutes . what was his average rate of speed in miles per hour ?", + "Output Program": [ + "n0 = 16.0\nn1 = 1.0\nn2 = 3.0\nn3 = 2.0\nn4 = 20.0\nt0 = n0 + 0.33\nt1 = n4 / 60.0\nt2 = n3 + t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.998571428571427" + ], + "split": "train" + }, + { + "Input": "in a games hour 4 different types of players came to the ground ? cricket 22 , hokey 15 , football 21 , softball 19 . how many players are present in the ground ?", + "Output Program": [ + "n0 = 4.0\nn1 = 22.0\nn2 = 15.0\nn3 = 21.0\nn4 = 19.0\nt0 = n1 + n2\nt1 = n3 + n4\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "77" + ], + "split": "train" + }, + { + "Input": "16 men can complete a piece of work in 25 days . in how many days can 20 men complete that piece of work ?", + "Output Program": [ + "n0 = 16.0\nn1 = 25.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two trains t 1 and t 2 start simultaneously from two stations x and y respectively towards each other . if they are 70 km apart both 3 and 6 hours after start , then find the distance between the two stations .", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 70.0\nn3 = 3.0\nn4 = 6.0\nt0 = n1 * n2\nanswer = n2 + t0\nprint(answer)" + ], + "Output Answer": [ + "210" + ], + "split": "train" + }, + { + "Input": "3 different containers contain 496 litres , 403 litres and 713 litres of mixtures of milk and water respectively . what biggest measure can measure all the different quantities exactly ?", + "Output Program": [ + "n0 = 3.0\nn1 = 496.0\nn2 = 403.0\nn3 = 713.0\nt0 = n0 + 12.0\nt1 = 2.0 * 2.0\nt2 = t1 * 2.0\nt3 = t2 * 2.0\nanswer = t0 + t3\nprint(answer)" + ], + "Output Answer": [ + "31" + ], + "split": "train" + }, + { + "Input": "12 persons can complete the work in 18 days . after working for 6 days , 4 more persons added to complete the work fast . in how many more days they will complete the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 18.0\nn2 = 6.0\nn3 = 4.0\nt0 = n0 + n3\nt1 = n1 - n2\nt2 = n0 * t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph . a man rows to a place at a distance of 7380 km and comes back to the starting point . the total time taken by him is :", + "Output Program": [ + "n0 = 16.0\nn1 = 2.0\nn2 = 7380.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "937.1428571428571" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 6 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 6.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "if a is thrice as fast as b and together can do a work in 18 days . in how many days a alone can do the work ?", + "Output Program": [ + "n0 = 18.0\nt0 = n0 * 4.0\nt1 = 3.0 / t0\nanswer = 1 / t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a factory produces 3400 toys per week . if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?", + "Output Program": [ + "n0 = 3400.0\nn1 = 5.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "680" + ], + "split": "train" + }, + { + "Input": "a man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream . the ratio of the speed of the boat ( in still water ) and the stream is :", + "Output Program": [ + "t0 = 1.0 + 2.0\nt1 = 2.0 - 1.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "dan \u2019 s car gets 32 miles per gallon . if gas costs $ 4 / gallon , then how many miles can dan \u2019 s car go on $ 38 of gas ?", + "Output Program": [ + "n0 = 32.0\nn1 = 4.0\nn2 = 38.0\nt0 = n0 * n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "304" + ], + "split": "train" + }, + { + "Input": "a boy want to make a cuboid of dimension 5 m , 6 m , 7 m from small cubes of . 04 m 3 . later he realized he can make same cuboid by making it hollow . then it takes some cubes less . what is the no . of these cubes ?", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 7.0\nn3 = 4.0\nn4 = 3.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n0 - 1.0\nt3 = n1 - 1.0\nt4 = n2 - 1.0\nt5 = n2 * t1\nt6 = t2 * t3\nt7 = t5 / t0\nt8 = t6 * t4\nt9 = t8 / t0\nanswer = t7 - t9\nprint(answer)" + ], + "Output Answer": [ + "2250" + ], + "split": "train" + }, + { + "Input": "a fill pipe can fill 1 / 2 of cistern in 10 minutes . in how many minutes , it can fill 1 / 2 of the cistern ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 10.0\nn3 = 1.0\nn4 = 2.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a man can do a piece of work in 10 days , but with the help of his son , he can finish it in 5 days . in what time can the son do it alone ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a man , a woman and a boy can together complete a piece of work in 4 days . if a man alone can do it in 6 days and a boy alone in 18 days , how long will a woman take to complete the work ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 18.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t1 + t2\nt4 = t0 - t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "35.999999999999986" + ], + "split": "train" + }, + { + "Input": "82 a 7 + 6 b ____ 190 if a and b represent positive single digits in the correctly worked computation above , what is the value of a + 2 b ?", + "Output Program": [ + "import math\nn0 = 82.0\nn1 = 7.0\nn2 = 6.0\nn3 = 190.0\nn4 = 2.0\nt0 = n2 * 10.0\nt1 = n3 - t0\nt2 = t1 - n0\nt3 = t2 - n1\nt4 = t3 / 10.0\nt5 = math.floor(t4)\nt6 = t5 * 10.0\nt7 = t3 - t6\nt8 = n4 * t7\nanswer = t5 + t8\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "pavan travelled for 11 hours . he covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph . find the distance travelled by pavan .", + "Output Program": [ + "n0 = 11.0\nn1 = 30.0\nn2 = 25.0\nt0 = n1 * 2.0\nt1 = n2 * 2.0\nt2 = 1 / t0\nt3 = 1 / t1\nt4 = t2 + t3\nt5 = 1 / t4\nanswer = n0 * t5\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water in 20 km / hr and the rate of current is 4 km / hr . the distance travelled downstream in 24 minutes is :", + "Output Program": [ + "n0 = 20.0\nn1 = 4.0\nn2 = 24.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "9.600000000000001" + ], + "split": "train" + }, + { + "Input": "two cars are driving toward each other . the first car is traveling at a speed of 100 km / h , which is 25 % faster than the second car ' s speed . if the distance between the cars is 720 km , how many hours will it take until the two cars meet ?", + "Output Program": [ + "n0 = 100.0\nn1 = 25.0\nn2 = 720.0\nt0 = 1.0 + 4.0\nt1 = n0 * 4.0\nt2 = t1 / t0\nt3 = n0 + t2\nt4 = t2 * 4.0\nt5 = t1 + t4\nanswer = t5 / t3\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a tiger is chasing its prey at a constant speed . it entire body passes a blade of grass in 1 second . it then runs above a fallen tree trunk that is 20 meters long in 5 seconds . what is the length of the tiger ?", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 5.0\nt0 = n2 - n0\nanswer = n1 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "5 / 8 th of a job is completed in 10 days . if a person works at the same pace , how many days will he take to complete the job ?", + "Output Program": [ + "n0 = 5.0\nn1 = 8.0\nn2 = 10.0\nt0 = n1 / n0\nt1 = n0 / n1\nt2 = 1.0 - t1\nt3 = n2 * t2\nanswer = t0 * t3\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a car is running at a speed of 120 kmph . what distance will it cover in 12 sec ?", + "Output Program": [ + "n0 = 120.0\nn1 = 12.0\nt0 = n0 / 3.6\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "jack and christina are standing 360 feet apart on a level surface . their dog , lindy , is standing next to christina . at the same time , they all begin moving toward each other . jack walks in a straight line toward christina at a constant speed of 5 feet per second and christina walks in a straight line toward jack at a constant speed of 7 feet per second . lindy runs at a constant speed of 12 feet per second from christina to jack , back to christina , back to jack , and so forth . what is the total distance , in feet , that lindy has traveled when the three meet at one place ?", + "Output Program": [ + "n0 = 360.0\nn1 = 5.0\nn2 = 7.0\nn3 = 12.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "360" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 54 km / hr crosses a pole in 9 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 54.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "135" + ], + "split": "train" + }, + { + "Input": "michael earns $ 7.00 per hour for the first 40 hours he works per week , and twice this rate for overtime . if michael earned $ 320 last week , how many hours did he work ?", + "Output Program": [ + "n0 = 7.0\nn1 = 40.0\nn2 = 320.0\nt0 = n0 * 2.0\nt1 = n1 / t0\nanswer = n1 + t1\nprint(answer)" + ], + "Output Answer": [ + "42.857142857142854" + ], + "split": "train" + }, + { + "Input": "maxwell leaves his home and walks toward brad ' s house . one hour later , brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 94 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the total time it takes maxwell before he meets up with brad ?", + "Output Program": [ + "n0 = 94.0\nn1 = 4.0\nn2 = 6.0\nt0 = n0 + n2\nt1 = n1 + n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a train is 48 kmph and including stoppages it is 40 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 48.0\nn1 = 40.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "if a child walks at the rate of 5 m / min from his home , he is 6 minutes late for school , if he walks at the rate of 7 m / min he reaches half an hour earlier . how far is his school from his home ?", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 7.0\nt0 = 1.0 / 2.0\nt1 = 1.0 / n0\nt2 = 1.0 / n2\nt3 = t0 * 60.0\nt4 = t1 - t2\nt5 = n1 + t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "629.9999999999998" + ], + "split": "train" + }, + { + "Input": "a 70 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?", + "Output Program": [ + "n0 = 70.0\nn1 = 2.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "the speed of a train is 120 kmph . what is the distance covered by it in 40 minutes ?", + "Output Program": [ + "n0 = 120.0\nn1 = 40.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "if 25 typists can type 60 letters in 20 minutes , then how many letters will 75 typists working at the same rate complete in 1 hour ?", + "Output Program": [ + "n0 = 25.0\nn1 = 60.0\nn2 = 20.0\nn3 = 75.0\nn4 = 1.0\nt0 = n1 * 3.0\nt1 = t0 / n0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "540" + ], + "split": "train" + }, + { + "Input": "i travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours . how long did the first part of my journey last", + "Output Program": [ + "n0 = 40.0\nn1 = 60.0\nn2 = 240.0\nn3 = 5.0\nt0 = n1 * n3\nt1 = n1 - n0\nt2 = t0 - n2\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "if 4 cats can kill 4 rats in 4 minutes , how long will it take 100 cats to kill 100 rats ?", + "Output Program": [ + "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 100.0\nn4 = 100.0\n\nanswer = n0 * 1.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 500 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 75 km / hr ?", + "Output Program": [ + "n0 = 500.0\nn1 = 3.0\nn2 = 75.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "24.9980001599872" + ], + "split": "train" + }, + { + "Input": "john can complete a given task in 20 days . jane will take only 10 days to complete the same task . john and jane set out to complete the task by beginning to work together . however , jane was indisposed 5 days before the work got over . in how many days did the work get over from the time john and jane started to work on it together ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = n1 * n2\nt3 = t1 - t2\nt4 = t3 / t0\nanswer = n2 + t4\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a train 120 m in length crosses a telegraph post in 6 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 120.0\nn1 = 6.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "two trains of equal lengths take 12 sec and 20 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\nn2 = 120.0\nt0 = n2 * 2.0\nt1 = n2 / n1\nt2 = n2 / n0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a man can row at 5 kmph in still water . if the velocity of current is 1 kmph and it takes him 1 hour to row to a plce and come back , how far is the place ?", + "Output Program": [ + "n0 = 5.0\nn1 = 1.0\nn2 = 1.0\nt0 = n0 - n1\nt1 = t0 * 3.0\nanswer = t1 / n0\nprint(answer)" + ], + "Output Answer": [ + "2.4" + ], + "split": "train" + }, + { + "Input": "a cistern 9 m long and 6 m wide contains water up to a breadth of 2 m 25 cm . find the total area of the wet surface .", + "Output Program": [ + "n0 = 9.0\nn1 = 6.0\nn2 = 2.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "121.5" + ], + "split": "train" + }, + { + "Input": "10 women can complete a work in 7 days & 10 children take 14 days to complete the work . how many days will 5 women and 10 children take to complete the work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 7.0\nn2 = 10.0\nn3 = 14.0\nn4 = 5.0\nn5 = 10.0\nt0 = n0 * n1\nt1 = n0 * n3\nt2 = 1.0 / t0\nt3 = 1.0 / t1\nt4 = n4 * t2\nt5 = n0 * t3\nt6 = t4 + t5\nanswer = 1 / t6\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 7.5\nn3 = 25.0\nn4 = 2.0\nn5 = 0.75\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n5 * 100.0\nt3 = t0 * t1\nt4 = t3 * t2\nt5 = t4 / n0\nt6 = t5 / n1\nanswer = t6 / n2\nprint(answer)" + ], + "Output Answer": [ + "25000" + ], + "split": "train" + }, + { + "Input": "a wooden box of dimensions 8 m x 7 m x 6 m is to carry rectangularboxes of dimensions 8 cm x 7 cm x 6 cm . the maximum number ofboxes that can be carried in the wooden box , is", + "Output Program": [ + "n0 = 8.0\nn1 = 7.0\nn2 = 6.0\nn3 = 8.0\nn4 = 7.0\nn5 = 6.0\nt0 = n2 * 100.0\nt1 = n1 * 100.0\nt2 = n2 * n5\nt3 = t0 * t1\nt4 = n1 * t2\nt5 = t3 * t0\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "1000000" + ], + "split": "train" + }, + { + "Input": "the speed of the boat in still water in 12 kmph . it can travel downstream through 60 kms in 3 hrs . in what time would it cover the same distance upstream ?", + "Output Program": [ + "n0 = 12.0\nn1 = 60.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = t0 - n0\nt2 = n0 - t1\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "in a race , the speeds of a and b are in the ratio 3 : 4 . a takes 30 minutes more than b to reach the destination . the time taken by a to reach the destination is ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 30.0\nt0 = n0 * n2\nt1 = n2 + t0\nanswer = t1 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "if a is thrice as fast as b and together can do a work in 24 days . in how many days a alone can do the work ?", + "Output Program": [ + "n0 = 24.0\nt0 = n0 * 4.0\nt1 = 3.0 / t0\nanswer = 1 / t1\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a train 500 meters long completely crosses a 300 meters long bridge in 45 seconds . what is the speed of the train is ?", + "Output Program": [ + "n0 = 500.0\nn1 = 300.0\nn2 = 45.0\nt0 = n0 + n1\nt1 = n2 / 3600.0\nt2 = t0 / 1000.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "64" + ], + "split": "train" + }, + { + "Input": "in covering a distance of 42 km , abhay takes 2 hours more than sameer . if abhay doubles his speed , then he would take 1 hour less than sameer . abhay ' s speed is :", + "Output Program": [ + "n0 = 42.0\nn1 = 2.0\nn2 = 1.0\nt0 = n1 + n2\nt1 = n0 / n1\nt2 = n0 - t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 140 meters long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 140.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "235" + ], + "split": "train" + }, + { + "Input": "a man complete a journey in 40 hours . he travels first half of the journey at the rate of 20 km / hr and second half at the rate of 30 km / hr . find the total journey in km .", + "Output Program": [ + "n0 = 40.0\nn1 = 20.0\nn2 = 30.0\nt0 = n1 + n2\nt1 = n1 * n2\nt2 = n0 * t1\nt3 = t2 / t0\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "960" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 15 kmph and downstream at 35 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 15.0\nn1 = 35.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "if the product of two numbers is 82500 and their h . c . f . is 55 , find their l . c . m .", + "Output Program": [ + "n0 = 82500.0\nn1 = 55.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "1500" + ], + "split": "train" + }, + { + "Input": "tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 8 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ?", + "Output Program": [ + "n0 = 1.0\nn1 = 8.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "worker a takes 8 hours to do a job . worker b takes 12 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.800000000000001" + ], + "split": "train" + }, + { + "Input": "a 270 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?", + "Output Program": [ + "n0 = 270.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "230.03999999999996" + ], + "split": "train" + }, + { + "Input": "in what time will a railway train 80 m long moving at the rate of 40 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 80.0\nn1 = 40.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "7.199424046076314" + ], + "split": "train" + }, + { + "Input": "a pump can fill a tank with water in 4 hours . because of a leak , it took 20 hours to fill the tank . the leak can drain all the water of the tank in ?", + "Output Program": [ + "n0 = 4.0\nn1 = 20.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "suppose 5 monkeys take 5 minutes to eat 5 bananas . how many monkeys would it take to eat 15 bananas in 15 minutes ?", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 5.0\nn3 = 15.0\nn4 = 15.0\nt0 = n3 / n0\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 2 men and 2 women will do that task .", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 6.0\nn3 = 2.0\nn4 = 2.0\nn5 = 2.0\nt0 = n1 - n3\nt1 = n2 - n0\nt2 = t0 / t1\nt3 = n4 * t2\nt4 = n2 * t2\nt5 = n5 + t3\nt6 = n3 + t4\nanswer = t5 / t6\nprint(answer)" + ], + "Output Answer": [ + "0.42857142857142855" + ], + "split": "train" + }, + { + "Input": "on a map , 1.5 inches represent 24 miles . how many miles approximately is the distance if you measured 45 centimeters assuming that 1 - inch is 2.54 centimeters ?", + "Output Program": [ + "n0 = 1.5\nn1 = 24.0\nn2 = 45.0\nn3 = 1.0\nn4 = 2.54\nt0 = n2 / n4\nt1 = n1 / n0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "283.46456692913387" + ], + "split": "train" + }, + { + "Input": "a labourer was engaged for 25 days on the condition that for every day , he works , he will be paid rs . 2 and for every day , he is absent he will be fined 50 p . if he receives only rs . 37 \u2022 50 , find the no . of days he was absent is _____", + "Output Program": [ + "n0 = 25.0\nn1 = 2.0\nn2 = 50.0\nn3 = 37.0\nn4 = 50.0\nt0 = n2 / 100.0\nt1 = n3 + t0\nt2 = t0 + 2.0\nt3 = n2 - t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ?", + "Output Program": [ + "n0 = 9.0\nt0 = 1.0 / n0\nt1 = 1.0 / 10.0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "90.0000000000001" + ], + "split": "train" + }, + { + "Input": "if 20 men can build a water fountain 56 metres long in 6 days , what length of a similar water fountain can be built by 35 men in 3 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 56.0\nn2 = 6.0\nn3 = 35.0\nn4 = 3.0\nt0 = n0 * n2\nt1 = n3 * n4\nt2 = n1 / t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "49" + ], + "split": "train" + }, + { + "Input": "in what time will a train 200 metres long cross an electric pole , if its speed be 124 km / hr ?", + "Output Program": [ + "n0 = 200.0\nn1 = 124.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "5.80598713393251" + ], + "split": "train" + }, + { + "Input": "if an object travels 80 feet in 4 seconds , what is the object \u2019 s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 80.0\nn1 = 4.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 / n3\nt1 = n2 / 3600.0\nt2 = n1 * t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "13.636363636363637" + ], + "split": "train" + }, + { + "Input": "two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line . for instance , 3 and 7 rhyme around 5 . what integer t between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 7.0\nn2 = 5.0\nn3 = 1.0\nn4 = 20.0\nt0 = 2.0 * n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "12 men can complete a piece of work in 30 days . in how many days can 10 men complete that piece of work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 30.0\nn2 = 10.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a can contains a mixture of liquids a and b is the ratio 7 : 5 . when 9 litres of mixture are drawn off and the can is filled with b , the ratio of a and b becomes 7 : 9 . how many liter m of liquid a was contained by the can initially ?", + "Output Program": [ + "n0 = 7.0\nn1 = 5.0\nn2 = 9.0\nn3 = 7.0\nn4 = 9.0\nt0 = n0 + n2\nt1 = n0 + n1\nt2 = n0 * n2\nt3 = n0 * n1\nt4 = n1 / t1\nt5 = t2 - t3\nt6 = n2 * t4\nt7 = n2 - t6\nt8 = t0 * t7\nt9 = t8 / t5\nanswer = n0 * t9\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 120 km / hr crosses a pole in 12 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 120.0\nn1 = 12.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "train" + }, + { + "Input": "a person can swim in still water at 20 km / h . if the speed of water 12 km / h , how many hours will the man take to swim back against the current for 40 km ?", + "Output Program": [ + "n0 = 20.0\nn1 = 12.0\nn2 = 40.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 1400 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 1400.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "28875" + ], + "split": "train" + }, + { + "Input": "a cistern is two - third full of water . pipe a can fill the remaining part in 12 minutes and pipe b in 8 minutes . once the cistern is emptied , how much time will they take to fill it together completely ?", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nt0 = n0 * 3.0\nt1 = n1 * 3.0\nt2 = t0 + t1\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "14.4" + ], + "split": "train" + }, + { + "Input": "timothy leaves home for school , riding his bicycle at a rate of 6 miles per hour . fifteen minutes after he leaves , his mother sees timothy \u2019 s math homework lying on his bed and immediately leaves home to bring it to him . if his mother drives at 36 miles per hour , how far ( in terms of miles ) must she drive before she reaches timothy ? i think is a 700 level problem but i tag it as 600 / 700 , let me know . either way i hope in an explanationthanks", + "Output Program": [ + "n0 = 6.0\nn1 = 36.0\nn2 = 700.0\nn3 = 600.0\nn4 = 700.0\nt0 = n1 - n0\nt1 = t0 * 4.0\nt2 = n0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "1.8" + ], + "split": "train" + }, + { + "Input": "two trains of equal length , running with the speeds of 60 and 40 kmph , take 55 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nn2 = 55.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 * 0.2778\nt3 = t1 * 0.2778\nt4 = 1 / t2\nt5 = n2 * t3\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "11.000000000000002" + ], + "split": "train" + }, + { + "Input": "two twins sisters sita and geeta were standing back to back and suddenly they started running in opposite directions for 10 km each . then they turned left and ran for another 7.5 km . what is the distance ( in kilometers ) between the the two twins when they stop ?", + "Output Program": [ + "import math\nn0 = 10.0\nn1 = 7.5\nt0 = n1 * 2.0\nt1 = n0 * 2.0\nt2 = t0**min(2.0, 5)\nt3 = t1**min(2.0, 5)\nt4 = t2 + t3\nanswer = math.sqrt(max(0, t4))\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 30 km / hr crosses a pole in 6 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 30.0\nn1 = 6.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1.8 cm when a man gets on it . the mass of man is", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 1.8\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "108.00000000000001" + ], + "split": "train" + }, + { + "Input": "two good train each 100 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one .", + "Output Program": [ + "n0 = 100.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = 1 / t1\nt3 = n0 * t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "9.599232061435085" + ], + "split": "train" + }, + { + "Input": "the amount of time that three people worked on a special project was in the ratio of 1 to 2 to 3 . if the project took 120 hours , how many more hours did the hardest working person work than the person who worked the least ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 3.0\nn3 = 120.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n3 / t1\nt3 = n2 * t2\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "in one hour , a boat goes 11 km along the steram and 5 km against the stream . the speed of the boat in still waer ( in km / hr ) is :", + "Output Program": [ + "n0 = 11.0\nn1 = 5.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a dog travelled for 2 hours . he covered the first half of the distance at 10 kmph and remaining half of the distance at 5 kmph . find the distance travelled by the dog ?", + "Output Program": [ + "n0 = 2.0\nn1 = 10.0\nn2 = 5.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a squirrel can climb 5 metres of a pole in one minute but slips 2 metres in the next minute . how much time will the squirrel take to climb 26 metres ?", + "Output Program": [ + "n0 = 5.0\nn1 = 2.0\nn2 = 26.0\nt0 = n2 / n1\nanswer = n1 + t0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "two trains of length 120 m and 320 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 120.0\nn1 = 320.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "21.998240140788738" + ], + "split": "train" + }, + { + "Input": "a wheel rotates 20 times every minute and moves 35 cm during each rotation . how many metres does the wheel move in one hour ?", + "Output Program": [ + "n0 = 20.0\nn1 = 35.0\nt0 = n0 * 60.0\nt1 = n1 * t0\nanswer = t1 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "420" + ], + "split": "train" + }, + { + "Input": "mike drives his new corvette from san francisco to las vegas , a journey of 640 miles . he drives the first half of the trip at an average rate of 80 miles per hour , but has to slow down for the second half of his journey . if the second half of the trip takes him 200 percent longer than the first half , what is his average rate w in miles per hour for the entire trip ?", + "Output Program": [ + "n0 = 640.0\nn1 = 80.0\nn2 = 200.0\nt0 = n0 / 2.0\nt1 = t0 / n1\nt2 = t1 * 2.0\nt3 = t1 + t2\nt4 = t3 + t1\nanswer = n0 / t4\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "mona and sona go around a circular track of length 400 m on a bike at speeds of 18 kmph and 36 kmph . after how much time will they meet for the first time at the starting point ?", + "Output Program": [ + "n0 = 400.0\nn1 = 18.0\nn2 = 36.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "79.99360051195904" + ], + "split": "train" + }, + { + "Input": "two cars a and b are running towards each other from different places 88 km apart . if the ratio of the speeds of the cars a and b is 5 : 6 and the speed of the car b is 90 km per hour then after how long will the two meet each other ?", + "Output Program": [ + "n0 = 88.0\nn1 = 5.0\nn2 = 6.0\nn3 = 90.0\nt0 = n1 / n2\nt1 = n3 * t0\nt2 = n3 + t1\nt3 = n0 / t2\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "find the angle between the hour hand and the minute hand of a clock when 3.25 .", + "Output Program": [ + "n0 = 3.25\nt0 = 60.0 / 2.0\nt1 = n0 - 3.0\nt2 = t1 * 100.0\nt3 = t0 * t2\nt4 = t3 / 60.0\nanswer = 60.0 - t4\nprint(answer)" + ], + "Output Answer": [ + "47.5" + ], + "split": "train" + }, + { + "Input": "find avrg speed if a man travels at speed of 15 km / hr up and 28 km / hr dawn at an altitude of 230 m .", + "Output Program": [ + "n0 = 15.0\nn1 = 28.0\nn2 = 230.0\nt0 = n0 + n1\nt1 = n0 * 2.0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "19.53488372093023" + ], + "split": "train" + }, + { + "Input": "a train 100 meters long completely crosses a 300 meters long bridge in 24 seconds . what is the speed of the train is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 300.0\nn2 = 24.0\nt0 = n0 + n1\nt1 = n2 / 3600.0\nt2 = t0 / 1000.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "if 9 men do a work in 80 days , in how many days will 20 men do it ?", + "Output Program": [ + "n0 = 9.0\nn1 = 80.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "perimeter of the back wheel = 9 feet , front wheel = 7 feet on a certain distance , the front wheel gets 10 revolutions more than the back wheel . what is the distance ?", + "Output Program": [ + "n0 = 9.0\nn1 = 7.0\nn2 = 10.0\nt0 = n1 * n2\nt1 = n0 - n1\nt2 = t0 / t1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "315" + ], + "split": "train" + }, + { + "Input": "a computer factory produces 5376 computers per month at a constant rate , how many computers are built every 30 minutes assuming that there are 28 days in one month ?", + "Output Program": [ + "n0 = 5376.0\nn1 = 30.0\nn2 = 28.0\nt0 = n0 / n2\nt1 = n2 - 4.0\nt2 = t1 * 2.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "if the wheel is 28 cm then the number of revolutions to cover a distance of 1056 cm is ?", + "Output Program": [ + "n0 = 28.0\nn1 = 1056.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "6.005459508644222" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 250 meters long take to cross a platform 200 meters long if the speed of the train is 90 kmph ?", + "Output Program": [ + "n0 = 250.0\nn1 = 200.0\nn2 = 90.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190784" + ], + "split": "train" + }, + { + "Input": "working at their respective constant rates , machine a makes 100 copies in 10 minutes and machine b makes 150 copies in 15 minutes . if these machines work simultaneously at their respective rates for 30 minutes , what is the total number of copies that they will produce ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 150.0\nn3 = 15.0\nn4 = 30.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 + t1\nanswer = n4 * t2\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "a is twice as good a workman as b and they took 5 days together to do the work b alone can do it in ?", + "Output Program": [ + "n0 = 5.0\nt0 = 1.0 + 2.0\nt1 = n0 * t0\nt2 = t1 / 2.0\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "the r train leaves station a moving at a constant speed , and passes by stations b and c , in this order . it takes the r train 7 hours to reach station b , and 5 additional hours to reach station c . the distance between stations a and b is m kilometers longer than the distance between stations b and c . what is the distance between stations a and c in terms of m ?", + "Output Program": [ + "n0 = 7.0\nn1 = 5.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "if 5 machines can produce 20 units in 10 hours , how long would it take 10 to produce 60 units ?", + "Output Program": [ + "n0 = 5.0\nn1 = 20.0\nn2 = 10.0\nn3 = 10.0\nn4 = 60.0\nt0 = n3 / n2\nt1 = t0 / n0\nt2 = n1 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 15 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?", + "Output Program": [ + "n0 = 462.0\nn1 = 336.0\nn2 = 15.0\nt0 = n0 - n1\nt1 = t0 / n2\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "there are 25 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?", + "Output Program": [ + "n0 = 25.0\nt0 = n0 + 1.0\nt1 = t0 + 1.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "702" + ], + "split": "train" + }, + { + "Input": "if in a cricket one day match , there were no wide balls , no wides , no extras and no overthrows . what is the maximum number of runs that a batsman can score in 35 overs in an ideal case scenario ?", + "Output Program": [ + "n0 = 35.0\nt0 = n0 - 2.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "1155" + ], + "split": "train" + }, + { + "Input": "a 180 m long train is running at 72 kmph . if it crossed the platform in 20 sec . then find the platform length ?", + "Output Program": [ + "n0 = 180.0\nn1 = 72.0\nn2 = 20.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "220.03199999999998" + ], + "split": "train" + }, + { + "Input": "two cars start at the same time from opposite ends of a highway that is 333 miles long . one car is riding at 54 mph and the second car is riding at 57 mph . how long after they begin will they meet ?", + "Output Program": [ + "n0 = 333.0\nn1 = 54.0\nn2 = 57.0\nt0 = n1 + n2\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a factory produces 5500 toys per week . if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?", + "Output Program": [ + "n0 = 5500.0\nn1 = 5.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "1100" + ], + "split": "train" + }, + { + "Input": "a 250 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?", + "Output Program": [ + "n0 = 250.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "250.03999999999996" + ], + "split": "train" + }, + { + "Input": "a boat running up stram takes 6 hours to cover a certain distance , while it takes 10 hours to cover the same distance running down stream . what is the ratio between the speed of the boat and the speed of water current respectively ?", + "Output Program": [ + "n0 = 6.0\nn1 = 10.0\n\nanswer = n1 - n0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "find avrg speed if a man travels at speed of 24 km / hr up and 36 km / hr dawn at an altitude of 200 m .", + "Output Program": [ + "n0 = 24.0\nn1 = 36.0\nn2 = 200.0\nt0 = n0 + n1\nt1 = n0 * 2.0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "28.8" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 50 kmph and including stoppages , it is 35 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 50.0\nn1 = 35.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "an engineer undertakes a project to build a road 15 km long in 300 days and employs 40 men for the purpose . after 100 days , he finds only 2.5 km of the road has been completed . find the ( approximate ) number of extra men he must employ to finish the work in time .", + "Output Program": [ + "n0 = 15.0\nn1 = 300.0\nn2 = 40.0\nn3 = 100.0\nn4 = 2.5\nt0 = n0 - n4\nt1 = n1 - n3\nt2 = n2 * t0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t4 / t3\nanswer = t5 - n2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water in 26 km / hr and the rate of current is 6 km / hr . the distance travelled downstream in 20 minutes is :", + "Output Program": [ + "n0 = 26.0\nn1 = 6.0\nn2 = 20.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "10.666666666666666" + ], + "split": "train" + }, + { + "Input": "a boat moves upstream at the rate of 1 km in 25 minutes and down stream 1 km in 12 minutes . then the speed of the current is :", + "Output Program": [ + "n0 = 1.0\nn1 = 25.0\nn2 = 1.0\nn3 = 12.0\nt0 = n0 / n3\nt1 = n0 / n1\nt2 = t0 * 60.0\nt3 = t1 * 60.0\nt4 = t2 - t3\nanswer = t4 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1.3" + ], + "split": "train" + }, + { + "Input": "a worker ' s daily wage is increased by 40 % and the new wage is $ 28 per day . what was the worker ' s daily wage before the increase ?", + "Output Program": [ + "n0 = 40.0\nn1 = 28.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two pipes can fill a tank in 15 minutes and 15 minutes . an outlet pipe can empty the tank in 45 minutes . if all the pipes are opened when the tank is empty , then how many minutes will it take to fill the tank ?", + "Output Program": [ + "n0 = 15.0\nn1 = 15.0\nn2 = 45.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "0.1111111111111111" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 60 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", + "Output Program": [ + "n0 = 2.0\nn1 = 1.0\nn2 = 1.0\nn3 = 60.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "58.064516129032256" + ], + "split": "train" + }, + { + "Input": "joe drives 180 miles at 60 miles per hour , and then he drives the next 120 miles at 40 miles per hour . what is his average speed for the entire trip in miles per hour ?", + "Output Program": [ + "n0 = 180.0\nn1 = 60.0\nn2 = 120.0\nn3 = 40.0\nt0 = n0 + n2\nt1 = n0 / n1\nt2 = n2 / n3\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "a train travels 250 km in 2 hours and 350 km in 4 hours . find the average speed of train .", + "Output Program": [ + "n0 = 250.0\nn1 = 2.0\nn2 = 350.0\nn3 = 4.0\nt0 = n0 + n2\nt1 = n1 + n3\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "x and y can do a piece of work in 20 days and 12 days respectively . x started the work alone and then after 4 days y joined him till the completion of the work . how long did the work last ?", + "Output Program": [ + "n0 = 20.0\nn1 = 12.0\nn2 = 4.0\nt0 = n0 + n1\nt1 = n2 / n0\nt2 = 1.0 - t1\nt3 = n0 * t2\nt4 = n1 * t3\nt5 = t4 / t0\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 35 km and upstream 20 km taking 5 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 35.0\nn1 = 20.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "5.5" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long traveling at 36 kmph takes to cross a bridge of 170 m in length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 36.0\nn2 = 170.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "27.997760179185665" + ], + "split": "train" + }, + { + "Input": "two train each 500 m long , and running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one .", + "Output Program": [ + "n0 = 500.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = 1 / t1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "23.998080153587715" + ], + "split": "train" + }, + { + "Input": "geetha ' s home has one tap , working alone at its maximum constant rate , can fill a certain sink in 210 seconds . a second tap , working alone at its maximum constant rate , can fill the same sink in 214 seconds . if both taps work together at their respective maximum constant rates , the time it will take to fill the sink is closest to", + "Output Program": [ + "n0 = 210.0\nn1 = 214.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "105.99056603773583" + ], + "split": "train" + }, + { + "Input": "a can finish a work in 6 days and b can do the same work in 15 days . b worked for 10 days and left the job . in how many days , a alone can finish the remaining work ?", + "Output Program": [ + "n0 = 6.0\nn1 = 15.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = n2 * t0\nt2 = n0 * t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "two bullet trains of equal lengths take 10 seconds and 50 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?", + "Output Program": [ + "n0 = 10.0\nn1 = 50.0\nn2 = 120.0\nt0 = n2 + n2\nt1 = n2 / n0\nt2 = n2 / n1\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "16.666666666666668" + ], + "split": "train" + }, + { + "Input": "a and b can finish a work in 16 days while a alone can do the same work in 32 days . in how many days b alone will complete the work ?", + "Output Program": [ + "n0 = 16.0\nn1 = 32.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a bicycle wheel has a diameter of 0.81 m . how many complete revolutions does it make in 1 km ?", + "Output Program": [ + "n0 = 0.81\nn1 = 1.0\nt0 = n1 * 1000.0\nt1 = 3.0 * 4.0\nt2 = 2.0 * 4.0\nt3 = t1 + 2.0\nt4 = t2 + 2.0\nt5 = t4**min(2.0, 5)\nt6 = t3 / t5\nt7 = t6 + 3.0\nt8 = n0 * t7\nanswer = t0 / t8\nprint(answer)" + ], + "Output Answer": [ + "393.1744908390343" + ], + "split": "train" + }, + { + "Input": "a pipe can fill a cistern in 88 minutes . find the time in which 1 / 11 part of the cistern will be filled ?", + "Output Program": [ + "n0 = 88.0\nn1 = 1.0\nn2 = 11.0\nt0 = n1 / n2\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "16 men can complete a piece of work in 30 days . in how many days can 20 men complete that piece of work ?", + "Output Program": [ + "n0 = 16.0\nn1 = 30.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph . a man rows to a place at a distance of 7740 km and comes back to the starting point . the total time taken by him is :", + "Output Program": [ + "n0 = 16.0\nn1 = 2.0\nn2 = 7740.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "982.8571428571429" + ], + "split": "train" + }, + { + "Input": "a train is running at a speed of 40 km / hr and it crosses a post in 25.2 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 40.0\nn1 = 25.2\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "280.0224" + ], + "split": "train" + }, + { + "Input": "speed of a boat in standing water is 8 kmph and the speed of the stream is 6 kmph . a man rows to place at a distance of 210 km and comes back to the starting point . the total time taken by him is :", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 210.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "a metallic cuboid of dimensions 27 x 18 x 12 m is melted . find the minimum amount of the volume of molten metal which should be added to mould it into a cube whose edge is ' a ' cm where a is an integer .", + "Output Program": [ + "n0 = 27.0\nn1 = 18.0\nn2 = 12.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1**(1 / 3)\nprint(answer)" + ], + "Output Answer": [ + "17.999999999999996" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 400 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 400.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "8250" + ], + "split": "train" + }, + { + "Input": "a river boat leaves silver town and travels upstream to gold town at an average speed of 4 kilometers per hour . it returns by the same route at an average speed of 7 kilometers per hour . what is the average speed for the round - trip in kilometers per hour ?", + "Output Program": [ + "n0 = 4.0\nn1 = 7.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = t1 * 2.0\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "5.090909090909091" + ], + "split": "train" + }, + { + "Input": "micheal and adam can do together a piece of work in 20 days . after they have worked together for 11 days micheal stops and adam completes the remaining work in 10 days . in how many days micheal complete the work separately .", + "Output Program": [ + "n0 = 20.0\nn1 = 11.0\nn2 = 10.0\nt0 = 1 / n0\nt1 = n1 * t0\nt2 = 1.0 - t1\nt3 = 1 / t2\nt4 = n2 * t3\nt5 = 1 / t4\nt6 = t0 - t5\nanswer = 1 / t6\nprint(answer)" + ], + "Output Answer": [ + "199.99999999999983" + ], + "split": "train" + }, + { + "Input": "a walks at 10 kmph and 3 hours after his start , b cycles after him at 20 kmph . how far from the start does b catch up with a ?", + "Output Program": [ + "n0 = 10.0\nn1 = 3.0\nn2 = 20.0\n\nanswer = n1 * n2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 km / hr and crosses a 80 m long platform in 26 sec . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 80.0\nn2 = 26.0\nt0 = n0 / 3600.0\nt1 = t0 * 1000.0\nt2 = n2 * t1\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "440" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 15 km / hr . if he rows downstream , where the speed of current is 3 km / hr , how many seconds will he take to cover 90 meters ?", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 90.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190784" + ], + "split": "train" + }, + { + "Input": "a boat covers a certain distance downstream in 1 hour , while it comes back in 11 \u2044 2 hours . if the speed of the stream be 3 kmph , what is the speed of the boat in still water ?", + "Output Program": [ + "n0 = 1.0\nn1 = 11.0\nn2 = 2.0\nn3 = 3.0\nt0 = 3.0 / 2.0\nt1 = 3.0 * t0\nt2 = t0 - n0\nt3 = 3.0 + t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "if the wheel is 9 cm then the number of revolutions to cover a distance of 1056 cm is ?", + "Output Program": [ + "n0 = 9.0\nn1 = 1056.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "18.683651804670912" + ], + "split": "train" + }, + { + "Input": "if 1 / 2 of the air in a tank is removed with each stroke of a vacuum pump , what fraction of the original amount of air has been removed after 5 strokes ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 5.0\nt0 = n0 / n1\nt1 = t0 / n1\nt2 = t0 + t1\nt3 = t1 / n1\nt4 = t2 + t3\nt5 = t3 / n1\nt6 = t4 + t5\nt7 = t5 / n1\nanswer = t6 + t7\nprint(answer)" + ], + "Output Answer": [ + "0.96875" + ], + "split": "train" + }, + { + "Input": "the ratio between the length and the breadth of a rectangular park is 4 : 1 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 min , then the area of the park ( in sq . m ) is ?", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 12.0\nn3 = 8.0\nt0 = n0 + n1\nt1 = 2.0 * 3.0\nt2 = t1 * 10.0\nt3 = n2 / t2\nt4 = n3 * t3\nt5 = t4 * 1000.0\nt6 = t5 / t0\nt7 = t6 / 2.0\nt8 = 4.0 * t7\nanswer = t7 * t8 # area of rectangle\nprint(answer)" + ], + "Output Answer": [ + "102400" + ], + "split": "train" + }, + { + "Input": "a metallic sphere of radius 12 cm is melted and drawn into a wire , whose radius of cross section is 12 cm . what is the length of the wire ?", + "Output Program": [ + "n0 = 12.0\nn1 = 12.0\nt0 = n0**min(3.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 / t1\nt3 = t2 * 4.0\nanswer = t3 / 3.0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "a van takes 6 hours to cover a distance of 252 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 252.0\nn2 = 3.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "x can finish a work in 20 days . y can finish the same work in 15 days . yworked for 9 days and left the job . how many days does x alone need to finish the remaining work ?", + "Output Program": [ + "n0 = 20.0\nn1 = 15.0\nn2 = 9.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = n2 * t0\nt3 = 1.0 - t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 13 multiples of 14 , how many multiples of 7 are there in q ?", + "Output Program": [ + "n0 = 14.0\nn1 = 13.0\nn2 = 14.0\nn3 = 7.0\nt0 = n1 * 2.0\nanswer = t0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 60 questions and secures 110 marks , the no of questions he attempts correctly is :", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 60.0\nn3 = 110.0\nt0 = n2 + n3\nt1 = n0 + n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "34" + ], + "split": "train" + }, + { + "Input": "machine a can process 6000 envelopes in 3 hours . machines b and c working together but independently can process the same number of envelopes in 2.5 hours . if machines a and c working together but independently process 3000 envelopes in 1 hour , then how many hours would it take machine b to process 4200 envelopes .", + "Output Program": [ + "n0 = 6000.0\nn1 = 3.0\nn2 = 2.5\nn3 = 3000.0\nn4 = 1.0\nn5 = 4200.0\nt0 = n0 / n2\nt1 = n3 / n4\nt2 = n0 / n1\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = n5 / t4\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a can finish a work in 9 days and b can do the same work in 15 days . b worked for 10 days and left the job . in how many days , a alone can finish the remaining work ?", + "Output Program": [ + "n0 = 9.0\nn1 = 15.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = n2 * t0\nt2 = n0 * t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "two pipes can fill a tank in 18 minutes and 60 minutes . an outlet pipe can empty the tank in 45 minutes . if all the pipes are opened when the tank is empty , then how many minutes will it take to fill the tank ?", + "Output Program": [ + "n0 = 18.0\nn1 = 60.0\nn2 = 45.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "0.04999999999999999" + ], + "split": "train" + }, + { + "Input": "a fill pipe can fill 2 / 3 of cistern in 40 minutes in how many minutes , it can fill full of the cistern ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 40.0\nt0 = n0 / n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "if the wheel is 56 cm then the number of revolutions to cover a distance of 1056 cm is ?", + "Output Program": [ + "n0 = 56.0\nn1 = 1056.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "3.002729754322111" + ], + "split": "train" + }, + { + "Input": "a boat moves upstream at the rate of 1 km in 40 minutes and down stream 1 km in 12 minutes . then the speed of the current is :", + "Output Program": [ + "n0 = 1.0\nn1 = 40.0\nn2 = 1.0\nn3 = 12.0\nt0 = n0 / n3\nt1 = n0 / n1\nt2 = t0 * 60.0\nt3 = t1 * 60.0\nt4 = t2 - t3\nanswer = t4 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1.75" + ], + "split": "train" + }, + { + "Input": "if 10 bulls can plough 20 identical fields in 3 days working 10 hours a day , then in how many days can 30 bulls plough 32 same identical fields working 8 hours a day ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 3.0\nn3 = 10.0\nn4 = 30.0\nn5 = 32.0\nn6 = 8.0\nt0 = n0 * n0\nt1 = n4 * n6\nt2 = n2 * t0\nt3 = n1 * t1\nt4 = n5 * t2\nanswer = t4 / t3\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a metallic sphere of radius 12 cm is melted and drawn into a wire , whose radius of cross section is 4 cm . what is the length of the wire ?", + "Output Program": [ + "n0 = 12.0\nn1 = 4.0\nt0 = n0**min(3.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 / t1\nt3 = t2 * 4.0\nanswer = t3 / 3.0\nprint(answer)" + ], + "Output Answer": [ + "144" + ], + "split": "train" + }, + { + "Input": "a train crosses a platform of 150 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ?", + "Output Program": [ + "n0 = 150.0\nn1 = 15.0\nn2 = 250.0\nn3 = 20.0\nt0 = n1 / 3.0\nt1 = n1 / t0\nt2 = n3 / t0\nt3 = n2 * t1\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "ravi can do a piece of work in 15 days while prakash can do it in 30 days . in how many days will they finish it together ?", + "Output Program": [ + "n0 = 15.0\nn1 = 30.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "the distance from steve ' s house to work is 40 km . on the way back steve drives twice as fast as he did on the way to work . altogether , steve is spending 6 hours a day on the roads . what is steve ' s speed on the way back from work ?", + "Output Program": [ + "n0 = 40.0\nn1 = 6.0\nt0 = n0 / 2.0\nt1 = n0 + t0\nt2 = t1 / n1\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "an outlet pipe can empty 2 / 3 of a cistern in 20 minutes . in 8 minutes , what part of the cistern will be emptied ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 20.0\nn3 = 8.0\nt0 = n0 / n1\nt1 = n3 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "0.26666666666666666" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 16 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 16.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "431.25" + ], + "split": "train" + }, + { + "Input": "two poles of height 6 meters and 11 meters stand on a plane ground . if the distance between their feet is 12 meters then find the difference in the distance between their tops :", + "Output Program": [ + "import math\nn0 = 6.0\nn1 = 11.0\nn2 = 12.0\nt0 = n2**min(2.0, 5)\nt1 = n1 - n0\nt2 = t1**min(2.0, 5)\nt3 = t0 + t2\nanswer = math.sqrt(max(0, t3))\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "if teena is driving at 55 miles per hour and is currently 7.5 miles behind loe , who is driving at 40 miles per hour in the same direction then in how many minutes will teena be 15 miles ahead of loe ?", + "Output Program": [ + "n0 = 55.0\nn1 = 7.5\nn2 = 40.0\nn3 = 15.0\nt0 = n0 - n2\nt1 = n1 + t0\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "the amount of time that three people worked on a special project was in the ratio of 3 to 5 to 6 . if the project took 140 hours , how many more hours did the hardest working person work than the person who worked the least ?", + "Output Program": [ + "n0 = 3.0\nn1 = 5.0\nn2 = 6.0\nn3 = 140.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n3 / t1\nt3 = n2 * t2\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "two pumps are connected to an empty tank . pump x fills the tank with water at a constant rate , while pump y drains water out of the tank at a constant rate . the two pumps finish filling the tank in 6 times the duration it would take pump x alone to fill the tank . if pump y alone can empty a whole tank in 48 minutes , then how many minutes does it take pump x alone to fill the tank ?", + "Output Program": [ + "n0 = 6.0\nn1 = 48.0\nt0 = n1 / n0\nanswer = n1 - t0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a bus covered a distance of 250 km , partly at an average speed of 40 kmph and partly at 60 kmph . if the total time taken is 5.5 hours , then the distance covered at 40 kmph is", + "Output Program": [ + "n0 = 250.0\nn1 = 40.0\nn2 = 60.0\nn3 = 5.5\nn4 = 40.0\nt0 = n2 * n3\nt1 = n1 - n2\nt2 = -t1\nt3 = t0 - n0\nt4 = t3 / t2\nanswer = n1 * t4\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "the cross - section of a water channel is a trapezium in shape . if the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross - section is 770 square meters , what is the depth of the channel ( in meters ) ?", + "Output Program": [ + "n0 = 14.0\nn1 = 8.0\nn2 = 770.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "working together , tim and tom can type 15 pages in one hour . if they would be able to type 18 pages in one hour if tom increases his typing speed by 60 % , what is the ratio of tom ' s normal typing speed to that of tim ?", + "Output Program": [ + "n0 = 15.0\nn1 = 18.0\nn2 = 60.0\nt0 = 1.0 * 100.0\nt1 = n1 - n0\nt2 = n2 / t0\nt3 = t1 / t2\nt4 = n0 - t3\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "20 men can complete a piece of work in 30 days . in how many days can 25 men complete that piece of work ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 25.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "micheal and adam can do together a piece of work in 20 days . after they have worked together for 16 days micheal stops and adam completes the remaining work in 10 days . in how many days micheal complete the work separately .", + "Output Program": [ + "n0 = 20.0\nn1 = 16.0\nn2 = 10.0\nt0 = 1 / n0\nt1 = n1 * t0\nt2 = 1.0 - t1\nt3 = 1 / t2\nt4 = n2 * t3\nt5 = 1 / t4\nt6 = t0 - t5\nanswer = 1 / t6\nprint(answer)" + ], + "Output Answer": [ + "33.33333333333333" + ], + "split": "train" + }, + { + "Input": "after doing 3 / 5 of the biology homework on monday night , sanjay did 1 / 3 of the remaining homework on tuesday night . what fraction of the original homework would sanjay have to do on wednesday night to complete the biology assignment ?", + "Output Program": [ + "n0 = 3.0\nn1 = 5.0\nn2 = 1.0\nn3 = 3.0\nt0 = n0 / n1\nt1 = n2 / n0\nt2 = 1.0 - t0\nt3 = t1 * t2\nt4 = t0 + t3\nanswer = 1.0 - t4\nprint(answer)" + ], + "Output Answer": [ + "0.2666666666666667" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 24 cm and 14 cm long , and the distance between them is 18 cm ?", + "Output Program": [ + "n0 = 24.0\nn1 = 14.0\nn2 = 18.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "342" + ], + "split": "train" + }, + { + "Input": "the reciprocal of the hcf and lcm of two are 1 / 17 and 1 / 312 . if one of the number is 24 then other no . is", + "Output Program": [ + "n0 = 1.0\nn1 = 17.0\nn2 = 1.0\nn3 = 312.0\nn4 = 24.0\nt0 = n1 * n3\nanswer = t0 / n4\nprint(answer)" + ], + "Output Answer": [ + "221" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 6.5 kmph . if he rows downstream , where the speed of current is 2.5 kmph , what time will he take to cover 90 metres ?", + "Output Program": [ + "n0 = 6.5\nn1 = 2.5\nn2 = 90.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "35.99712023038157" + ], + "split": "train" + }, + { + "Input": "if the wheel is 14 cm then the number of revolutions to cover a distance of 4136 cm is ?", + "Output Program": [ + "n0 = 14.0\nn1 = 4136.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "47.04276615104641" + ], + "split": "train" + }, + { + "Input": "in what time will a train 600 meters long cross an electric pole , if its speed is 144 km / hr", + "Output Program": [ + "n0 = 600.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "14.998800095992321" + ], + "split": "train" + }, + { + "Input": "a person can swim in still water at 4 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 12 km ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 12.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "if 12 men or 20 women can do a piece of work in 108 days , then in how many days can 9 men and 12 women together do the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\nn2 = 108.0\nn3 = 9.0\nn4 = 12.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = n3 / t0\nt3 = n4 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "a reindeer chased by a cheetah passed a certain tree at a constant speed of 50 miles per hour while being chased by a cheetah . then , 2 minutes later , the cheetah passed the same tree at a constant speed of 60 miles per hour . if both animals maintained their speeds , how long after the cheetah passed the tree did the cheetah catch up with the reindeer ?", + "Output Program": [ + "n0 = 50.0\nn1 = 2.0\nn2 = 60.0\nt0 = n1 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nt3 = t1 / t2\nanswer = t3 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a fort had provision of food for 150 men for 45 days . after 10 days , 25 men left the fort . find out the number of days for which the remaining food will last", + "Output Program": [ + "n0 = 150.0\nn1 = 45.0\nn2 = 10.0\nn3 = 25.0\nt0 = n2 + n3\nt1 = n0 - n3\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 30 m at the rate of rs . 2 a meter ?", + "Output Program": [ + "import math\nn0 = 30.0\nn1 = 2.0\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "188.49555921538757" + ], + "split": "train" + }, + { + "Input": "a car is running at a speed of 108 kmph . what distance will it cover in 15 sec ?", + "Output Program": [ + "n0 = 108.0\nn1 = 15.0\nt0 = n0 / 3.6\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "450" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 54 km / hr and including stoppages , it is 45 km / hr . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 54.0\nn1 = 45.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "there is enough provisions for 600 men in an army camp for 25 days . if there were 100 men less , how long will the provision last ?", + "Output Program": [ + "n0 = 600.0\nn1 = 25.0\nn2 = 100.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "jim drove 215 miles of a 1200 miles journey . how many more miles does he need to drive to finish his journey ?", + "Output Program": [ + "n0 = 215.0\nn1 = 1200.0\n\nanswer = n1 - n0\nprint(answer)" + ], + "Output Answer": [ + "985" + ], + "split": "train" + }, + { + "Input": "what decimal fraction is 30 ml of a litre ?", + "Output Program": [ + "n0 = 30.0\n\nanswer = n0 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "0.03" + ], + "split": "train" + }, + { + "Input": "a cistern which could be filled in 7 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ?", + "Output Program": [ + "n0 = 7.0\nt0 = 1.0 / n0\nt1 = 1.0 / 10.0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "23.33333333333334" + ], + "split": "train" + }, + { + "Input": "a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 290 m long ?", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 290.0\nt0 = n2 / 1000.0\nt1 = n0 / 1000.0\nt2 = t0 + t1\nt3 = t2 / n1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "51.99999999999999" + ], + "split": "train" + }, + { + "Input": "truck x is 13 miles ahead of truck y , which is traveling the same direction along the same route as truck x . if truck x is traveling at an average speed of 47 miles per hour and truck y is traveling at an average speed of 53 miles per hour , how long will it take truck y to overtake and drive 5 miles ahead of truck x ?", + "Output Program": [ + "n0 = 13.0\nn1 = 47.0\nn2 = 53.0\nn3 = 5.0\nt0 = n0 + n3\nt1 = n2 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "how many bricks , each measuring 125 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8 m x 6 m x 22.5 cm ?", + "Output Program": [ + "n0 = 125.0\nn1 = 11.25\nn2 = 6.0\nn3 = 8.0\nn4 = 6.0\nn5 = 22.5\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "1280" + ], + "split": "train" + }, + { + "Input": "without stoppages , a train travels certain distance with an average speed of 100 km / h , and with stoppages , it covers the same distance with an average speed of 95 km / h . how many minutes per hour the train stops ?", + "Output Program": [ + "n0 = 100.0\nn1 = 95.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a tank is 25 m long , 12 m wide and 6 m deep . what is the cost of plastering its walls and bottom at the rate of 75 paise per sq . m ?", + "Output Program": [ + "n0 = 25.0\nn1 = 12.0\nn2 = 6.0\nn3 = 75.0\nt0 = n0 + n1\nt1 = n3 / 100.0\nt2 = n0 * n1\nt3 = t0 * 2.0\nt4 = n2 * t3\nt5 = t4 + t2\nanswer = t5 * t1\nprint(answer)" + ], + "Output Answer": [ + "558" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 36 km and upstream 26 km taking 2 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 36.0\nn1 = 26.0\nn2 = 2.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "15.5" + ], + "split": "train" + }, + { + "Input": "a car left town a towards town b driving at a speed of v = 32 km / hr . after 3 hours on the road the driver stopped for 15 min in town c . because of a closed road he had to change his route , making the trip 28 km longer . he increased his speed to v = 40 km / hr but still he was 30 min late . find the distance the car has covered .", + "Output Program": [ + "n0 = 32.0\nn1 = 3.0\nn2 = 15.0\nn3 = 28.0\nn4 = 40.0\nn5 = 30.0\nt0 = n4 / 2.0\nt1 = n0 * 3.0\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "116" + ], + "split": "train" + }, + { + "Input": "a train 150 metres long is moving at a speed of 25 kmph . it will cross a man coming from the opposite direction at a speed of 2 km per hour in :", + "Output Program": [ + "n0 = 150.0\nn1 = 25.0\nn2 = 2.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a and b finish the job in 15 days . while a , b and c can finish it in 6 days . c alone will finish the job in", + "Output Program": [ + "n0 = 15.0\nn1 = 6.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "find avrg speed if a man travels at speed of 16 km / hr up and 30 km / hr dawn at an altitude of 200 m .", + "Output Program": [ + "n0 = 16.0\nn1 = 30.0\nn2 = 200.0\nt0 = n0 + n1\nt1 = n0 * 2.0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "20.869565217391305" + ], + "split": "train" + }, + { + "Input": "a , b and c completed a piece of work , a worked for 6 days , b for 9 days and c for 4 days . their daily wages were in the ratio of 3 : 4 : 5 . find the daily wages of c , if their total earning was rs . 1554 ?", + "Output Program": [ + "n0 = 6.0\nn1 = 9.0\nn2 = 4.0\nn3 = 3.0\nn4 = 4.0\nn5 = 5.0\nn6 = 1554.0\nt0 = n0 * n3\nt1 = n1 * n2\nt2 = n2 * n5\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = n6 / t4\nanswer = n5 * t5\nprint(answer)" + ], + "Output Answer": [ + "105" + ], + "split": "train" + }, + { + "Input": "two train each 500 m long , are running in opposite directions on parallel tracks . if their speeds are 45 km / hr and 30 km / hr respectively , the time taken by the slower train to pass the driver of the faster one is ?", + "Output Program": [ + "n0 = 500.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "23.99808015358771" + ], + "split": "train" + }, + { + "Input": "a train is 360 meter long is running at a speed of 56 km / hour . in what time will it pass a bridge of 140 meter length .", + "Output Program": [ + "n0 = 360.0\nn1 = 56.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "32.142857142857146" + ], + "split": "train" + }, + { + "Input": "a and b complete a work in 8 days . a alone can do it in 16 days . if both together can do the work in how many days ?", + "Output Program": [ + "n0 = 8.0\nn1 = 16.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.333333333333333" + ], + "split": "train" + }, + { + "Input": "suppose 8 monkeys take 8 minutes to eat 8 bananas . how many monkeys would it take to eat 48 bananas in 48 minutes", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 8.0\nn3 = 48.0\nn4 = 48.0\nt0 = n3 / n0\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "8 identical machines , working alone and at their constant rates , take 6 hours to complete a job lot . how long would it take for 2 such machines to perform the same job ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 2.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 50 days for the patch to cover the entire lake , how many days would it take the patch to cover half of the lake ?", + "Output Program": [ + "n0 = 50.0\n\nanswer = n0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "49" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 18 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "how much time will a train of length 420 m moving at a speed of 72 kmph take to cross another train of length 640 m , moving at 36 kmph in the same direction ?", + "Output Program": [ + "n0 = 420.0\nn1 = 72.0\nn2 = 640.0\nn3 = 36.0\nt0 = n0 + n2\nt1 = n1 - n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "105.99152067834574" + ], + "split": "train" + }, + { + "Input": "a spider web consists of 3 concurrent lines forming radial support for 20 concentric regular hexagon . the hexagon vertices are 5 mm from their immidiate neighbour . if the innermost hexagon has a side length 3 mm how many meters is the length of the entire web including the 3 diagonals ?", + "Output Program": [ + "n0 = 3.0\nn1 = 20.0\nn2 = 5.0\nn3 = 3.0\nn4 = 3.0\nt0 = n0 / 1000.0\nt1 = n2 / 1000.0\nt2 = n0 * 2.0\nt3 = t0 + t1\nt4 = t3 + t0\nt5 = t3 + t1\nt6 = t4 + t5\nt7 = t5 + t1\nt8 = t6 + t7\nt9 = t7 + t1\nt10 = t8 + t9\nt11 = t9 + t1\nt12 = t10 + t11\nt13 = t11 + t1\nt14 = t12 + t13\nt15 = t13 + t1\nt16 = t14 + t15\nt17 = t15 + t1\nt18 = t16 + t17\nt19 = t17 + t1\nt20 = t18 + t19\nt21 = t19 + t1\nt22 = t20 + t21\nt23 = t21 + t1\nt24 = t22 + t23\nt25 = t23 + t1\nt26 = t24 + t25\nt27 = t25 + t1\nt28 = t26 + t27\nt29 = t27 + t1\nt30 = t28 + t29\nt31 = t29 + t1\nt32 = t30 + t31\nt33 = t31 + t1\nt34 = t32 + t33\nt35 = t33 + t1\nt36 = t34 + t35\nt37 = t35 + t1\nt38 = t36 + t37\nt39 = t37 + t1\nt40 = t38 + t39\nt41 = n0 * t39\nt42 = t40 * t2\nanswer = t42 + t41\nprint(answer)" + ], + "Output Answer": [ + "6.353999999999999" + ], + "split": "train" + }, + { + "Input": "in what time will a railway train 20 m long moving at the rate of 36 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 20.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "1.9998400127989762" + ], + "split": "train" + }, + { + "Input": "pipe a usually fills a tank in 2 hours . on account of a leak at the bottom of the tank , it takes pipe a 30 more minutes to fill the tank . how long will the leak take to empty a full tank if pipe a is shut ?", + "Output Program": [ + "n0 = 2.0\nn1 = 30.0\nt0 = 1.0 / n0\nt1 = n0 + t0\nt2 = 1.0 / t1\nt3 = t0 - t2\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "9.999999999999998" + ], + "split": "train" + }, + { + "Input": "walking at 5 / 6 th of its usual speed a cab is 5 mnts late . find its usual time to cover the journey ?", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 5.0\n\nanswer = n0 * n2\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 4 hours . due to a leak at the bottom , it takes 8 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?", + "Output Program": [ + "n0 = 4.0\nn1 = 8.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "there is a sufficient food for 200 men for 20 days after 15 days 100 men leave the place . for how many days will the rest of the food last for the rest of the men ?", + "Output Program": [ + "n0 = 200.0\nn1 = 20.0\nn2 = 15.0\nn3 = 100.0\nt0 = n1 - n2\nanswer = t0 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a motorcyclist started riding at highway marker a , drove 120 miles to highway marker b , and then , without pausing , continued to highway marker c , where she stopped . the average speed of the motorcyclist , over the course of the entire trip , was 30 miles per hour . if the ride from marker a to marker b lasted 3 times as many hours as the rest of the ride , and the distance from marker b to marker c was half of the distance from marker a to marker b , what was the average speed , in miles per hour , of the motorcyclist while driving from marker b to marker c ?", + "Output Program": [ + "n0 = 120.0\nn1 = 30.0\nn2 = 3.0\nt0 = n0 / 2.0\nt1 = n0 + t0\nt2 = t1 / n1\nt3 = t2 / 4.0\nanswer = t3 * t0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a can do a work in 9 days . b can do the same work in 18 days . if both a & b are working together in how many days they will finish the work ?", + "Output Program": [ + "n0 = 9.0\nn1 = 18.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "robert is travelling on his cycle andhas calculated to reach point a at 2 pm . if he travels at 10 kmph , he will reach there at 12 pm if he travels at 15 kmph . at what speed must he travel to reach a at 1 pm ?", + "Output Program": [ + "n0 = 2.0\nn1 = 10.0\nn2 = 12.0\nn3 = 15.0\nn4 = 1.0\nt0 = 1.0 / n1\nt1 = 1.0 / n3\nt2 = t0 - t1\nt3 = n0 / t2\nt4 = t3 / n1\nt5 = t4 - n4\nanswer = t3 / t5\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000002" + ], + "split": "train" + }, + { + "Input": "a computer factory produces 4032 computers per month at a constant rate , how many computers are built every 30 minutes assuming that there are 28 days in one month ?", + "Output Program": [ + "n0 = 4032.0\nn1 = 30.0\nn2 = 28.0\nt0 = n0 / n2\nt1 = n2 - 4.0\nt2 = t1 * 2.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 14 kmph . if he rows downstream , where the speed of current is 2 kmph , what time will he take to cover 40 metres ?", + "Output Program": [ + "n0 = 14.0\nn1 = 2.0\nn2 = 40.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "8.999280057595392" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 48 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 48.0\nn1 = 18.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "if the population of a certain country increases at the rate of one person every 30 seconds , by how many persons does the population increase in 10 minutes ?", + "Output Program": [ + "n0 = 30.0\nn1 = 10.0\nt0 = 60.0 / n0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two trains each 150 m in length each , are running on two parallel lines in opposite directions . if one goes at the speed of 95 km / h while the other travels at 85 km / h . how long will it take for them to pass each other completely .", + "Output Program": [ + "n0 = 150.0\nn1 = 95.0\nn2 = 85.0\nt0 = n0 + n0\nt1 = n1 + n2\nt2 = t0 / 1000.0\nt3 = t2 / t1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "p is 10 % more efficient than q . p can complete a work in 21 days . if p and q work together , how many days will it take to complete the same work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 21.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nt2 = t1 + 1.0\nt3 = n1 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "james took a 3 - hour bike ride . in the second hour he travlled 18 miles , which was 20 percent farther than he traveled the first hour . if he traveled 25 percent farther in the third hour than he did in the second hour , how many miles did jose travel during the entire ride ?", + "Output Program": [ + "n0 = 3.0\nn1 = 18.0\nn2 = 20.0\nn3 = 25.0\nt0 = 1.0 * 100.0\nt1 = n1 * n3\nt2 = n2 + t0\nt3 = t1 / n2\nt4 = n1 * t0\nt5 = t4 / t2\nt6 = t5 + t3\nanswer = n1 + t6\nprint(answer)" + ], + "Output Answer": [ + "55.5" + ], + "split": "train" + }, + { + "Input": "for my anniversary , i decided to surprise my wife . since she is a voracious reader , i decided to collect a lot of books for her . on the first day of the month , i bought one book , on the second , i bought two and on the third , i bought three . this process went on till the anniversary and on the day , i had 190 books with me to gift her . can you calculate , on which day is our anniversary ?", + "Output Program": [ + "n0 = 190.0\n\nanswer = n0 / 10.0\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "one machine takes 3 minutes to check fault in 100 km fiber optic cable . another machine does the same job in 3 seconds . what time will it take to do the same job when both machines are put to work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 100.0\nn2 = 3.0\nt0 = 1 / n0\nt1 = n0 * 60.0\nt2 = 1 / t1\nt3 = t2 + t0\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "2.9508196721311477" + ], + "split": "train" + }, + { + "Input": "3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day should 4 pumps work in order to empty the tank in 1 day ?", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 2.0\nn3 = 4.0\nn4 = 1.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / n3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "nd the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 12 cm ?", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 12.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "228" + ], + "split": "train" + }, + { + "Input": "a digital wristwatch was set accurately at 8.30 a . m and then lost 2 seconds every 5 minutes . what time was indicated on the watch at 6.30 p . m of the same day if the watch operated continuously that time ?", + "Output Program": [ + "n0 = 8.3\nn1 = 2.0\nn2 = 5.0\nn3 = 6.3\nt0 = 3.0 * 4.0\nt1 = n3 + t0\nt2 = t1 - n0\nt3 = t2 * 60.0\nt4 = t3 / n2\nt5 = n1 * t4\nt6 = t5 / 60.0\nt7 = t6 / 100.0\nanswer = n3 - t7\nprint(answer)" + ], + "Output Answer": [ + "6.26" + ], + "split": "train" + }, + { + "Input": "a train 110 m long is running with a speed of 56 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 56.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "6.386585847325762" + ], + "split": "train" + }, + { + "Input": "the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland , which is 520 miles away . the pilot recognizes that the current engine , which can fly only 8 miles per gallon , will not get him there . by how many miles per gallon must the aircraft \u2019 s fuel efficiency be improved to make the flight to cleveland possible ?", + "Output Program": [ + "n0 = 40.0\nn1 = 520.0\nn2 = 8.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 25 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 120 km downstream .", + "Output Program": [ + "n0 = 25.0\nn1 = 5.0\nn2 = 120.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "if two - third of a bucket is filled in 2 minutes then the time taken to fill the bucket completely will be .", + "Output Program": [ + "n0 = 2.0\nt0 = n0 / 2.0\nanswer = t0 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "72 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?", + "Output Program": [ + "n0 = 72.0\nn1 = 8.0\nn2 = 30.0\nn3 = 50.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n3 * t1\nt3 = t2 / n4\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "88" + ], + "split": "train" + }, + { + "Input": "a space shuttle orbits the earth at about 2 kilometers per second . this speed is equal to how many kilometers per hour ?", + "Output Program": [ + "n0 = 2.0\n\nanswer = n0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "7200" + ], + "split": "train" + }, + { + "Input": "in what time will a railway train 80 m long moving at the rate of 36 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 80.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "7.999360051195905" + ], + "split": "train" + }, + { + "Input": "if it takes 30 construction workers 70 days to build a skyscraper , how long would it take 50 workers ?", + "Output Program": [ + "n0 = 30.0\nn1 = 70.0\nn2 = 50.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 10 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 3.0\nn1 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.2857142857142865" + ], + "split": "train" + }, + { + "Input": "a software engineer starts from home at 3 pm for every walk on a route which has level road for some distance and a then a hillock . he walks speed of 4 kmph on level ground and then at a speed of 3 kmph on the uphill and then down the hill at a speed of 6 kmph to the level ground and then at a speed of 4 kmph to the home if he reaches home at 9 pm . what is the distance one way of his route ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 3.0\nn3 = 6.0\nn4 = 4.0\nn5 = 9.0\nt0 = n1 + n3\nt1 = n0 + n1\nt2 = n5 - n0\nt3 = t0 + t1\nt4 = t3 / 4.0\nt5 = t4 - 0.25\nt6 = t2 * t5\nanswer = t6 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 3000 resolutions ?", + "Output Program": [ + "n0 = 22.4\nn1 = 3000.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "4223.999999999999" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 30 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 30.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "500.00000000000006" + ], + "split": "train" + }, + { + "Input": "a , b , c , d and e are 5 consecutive points on a straight line . if bc = 3 cd , de = 8 , ab = 5 and ac = 11 , what is the length of ae ?", + "Output Program": [ + "n0 = 5.0\nn1 = 3.0\nn2 = 8.0\nn3 = 5.0\nn4 = 11.0\nt0 = n4 - n0\nt1 = t0 / n1\nt2 = n4 + t1\nanswer = n2 + t2\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "a space shuttle orbits the earth at about 9 kilometers per second . this speed is equal to how many kilometers per hour ?", + "Output Program": [ + "n0 = 9.0\n\nanswer = n0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "32400" + ], + "split": "train" + }, + { + "Input": "two train each 500 m long , are running in opposite directions on parallel tracks . if their speeds are 45 km / hr and 30 km / hr respectively , the time taken by the slower train to pass the driver of the faster one is", + "Output Program": [ + "n0 = 500.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "23.99808015358771" + ], + "split": "train" + }, + { + "Input": "two trains of length 100 meters and 200 meters are 630 meters apart . they are moving towards each other on parallel tracks , at speeds of 90 km / h and 72 km / h . after how many seconds will the trains meet ?", + "Output Program": [ + "n0 = 100.0\nn1 = 200.0\nn2 = 630.0\nn3 = 90.0\nn4 = 72.0\nt0 = n3 + n4\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "13.998880089592832" + ], + "split": "train" + }, + { + "Input": "at a tanning salon , customers are charged $ 10 for their first visit in a calendar month and $ 8 for each visit after that in the same calendar month . in the last calendar month , 100 customers visited the salon , of which 30 made a second visit , and 10 made a third visit . all other customers made only one visit . if those visits were the only source of revenue for the salon , what was the revenue for the last calendar month at the salon ?", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nn2 = 100.0\nn3 = 30.0\nn4 = 10.0\nt0 = n0 + n1\nt1 = n2 - n3\nt2 = n3 * t0\nt3 = n0 * t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "1240" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 16 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 60 km downstream .", + "Output Program": [ + "n0 = 16.0\nn1 = 4.0\nn2 = 60.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "mahesh can do a piece of work in 50 days . he works at it for 20 days and then rajesh finished it in 30 days . how long will y take to complete the work ?", + "Output Program": [ + "n0 = 50.0\nn1 = 20.0\nn2 = 30.0\nt0 = 1.0 / n0\nt1 = n1 * t0\nt2 = 1.0 - t1\nt3 = t2 / n2\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "pipe a that can fill a tank in an hour and pipe b that can fill the tank in 15 are opened simultaneously when the tank is empty . pipe b is shut 15 minutes before the tank overflows . when will the tank overflow ?", + "Output Program": [ + "n0 = 15.0\nn1 = 15.0\nt0 = 3.0 / 4.0\nt1 = t0 / 3.0\nt2 = t1 * 60.0\nanswer = n0 + t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "beginning in town a , biker bob rides his bike 8 miles west , 5 miles north , 4 miles east , and then 15 miles north , to town b . how far apart are town a and town b ? ( ignore the curvature of the earth . )", + "Output Program": [ + "import math\nn0 = 8.0\nn1 = 5.0\nn2 = 4.0\nn3 = 15.0\nt0 = n1 + n3\nt1 = n2**min(2.0, 5)\nt2 = t0**min(2.0, 5)\nt3 = t2 + t1\nanswer = math.sqrt(max(0, t3))\nprint(answer)" + ], + "Output Answer": [ + "20.396078054371138" + ], + "split": "train" + }, + { + "Input": "laxmi and prasanna set on a journey . laxmi moves northwards at a speed of 25 kmph and prasanna moves southward at a speed of 35 kmph . how far will be prasanna from laxmi after 60 minutes ?", + "Output Program": [ + "n0 = 25.0\nn1 = 35.0\nn2 = 60.0\n\nanswer = n0 + n1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a can complete a project in 10 days and b can complete the same project in 30 days . if a and b start working on the project together and a quits 10 days before the project is completed , in how many days will the project be completed ?", + "Output Program": [ + "n0 = 10.0\nn1 = 30.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t1 + t0\nt3 = n2 * t0\nt4 = 1.0 - t3\nt5 = t4 / t2\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 10 seconds longer to travel 1 km than it would take to travel 1 km at 80 km / hour . at what speed , in km / hr , is the car traveling ?", + "Output Program": [ + "n0 = 10.0\nn1 = 1.0\nn2 = 1.0\nn3 = 80.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "65.45454545454545" + ], + "split": "train" + }, + { + "Input": "a bus trip of 210 miles would have taken 1 hour less if the average speed v for the trip had been greater by 5 miles per hour . what was the average speed v , in miles per hour , for the trip ?", + "Output Program": [ + "import math\nn0 = 210.0\nn1 = 1.0\nn2 = 5.0\nt0 = n0 * n2\nt1 = n2**min(2.0, 5)\nt2 = t0 * 4.0\nt3 = t2 + t1\nt4 = math.sqrt(max(0, t3))\nt5 = t4 - n2\nanswer = t5 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "if the 5 th date of a month is tuesday , what date will be 3 days after the 3 rd friday in the month ?", + "Output Program": [ + "n0 = 5.0\nn1 = 3.0\nn2 = 3.0\nt0 = n0 * n1\nanswer = n1 + t0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a and b can do a work in 8 days , b and c can do the same work in 12 days . a , b and c together can finish it in 6 days . a and c together will do it in ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 6.0\nt0 = n0 / 2.0\nt1 = t0 + 2.0\nt2 = n0 * t1\nanswer = t2 / n2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a can give b 90 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 90.0\nn1 = 200.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "120.87912087912093" + ], + "split": "train" + }, + { + "Input": "if a car had traveled 10 kmh faster than it actually did , the trip would have lasted 30 minutes less . if the car went exactly 30 km , at what speed did it travel ?", + "Output Program": [ + "import math\nn0 = 10.0\nn1 = 30.0\nn2 = 30.0\nt0 = n0 * n2\nt1 = n0**min(2.0, 5)\nt2 = t0 * 2.0\nt3 = t2 * 4.0\nt4 = t3 + t1\nt5 = math.sqrt(max(0, t4))\nt6 = t5 - n0\nanswer = t6 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two tains of equal lengths take 10 seconds and 12 seconds respectively to cross a telegraph post . if the length of each train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nn2 = 120.0\nt0 = n2 + n2\nt1 = n2 / n1\nt2 = n2 / n0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "10.909090909090908" + ], + "split": "train" + }, + { + "Input": "a clock shows the time as 9 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 6 p . m . ?", + "Output Program": [ + "n0 = 9.0\nn1 = 5.0\nn2 = 6.0\nt0 = 3.0 + n2\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "find the distance covered by a man walking for 30 min at a speed of 5 km / hr ?", + "Output Program": [ + "n0 = 30.0\nn1 = 5.0\nt0 = n1 * 1000.0\nt1 = t0 / 60.0\nt2 = n0 * t1\nanswer = t2 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "train" + }, + { + "Input": "a person can row at 10 kmph in still water . if the velocity of the current is 2 kmph and it takes him 15 hour to row to a place and come back , how far is the place ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 15.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n2 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "imagine an analog clock set to 12 o ' clock . note that the hour and minute hands overlap . how many times each day do both the hour and minute hands overlap ? how would you determine the exact times of the day that this occurs ?", + "Output Program": [ + "n0 = 12.0\nt0 = n0 - 1.0\nanswer = t0 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "jamshid can paint a fence in 50 percent less time than taimour can when each works alone . when they work together , they can paint the fence in 7 hours . how long would it take taimour to paint the fence alone ?", + "Output Program": [ + "n0 = 50.0\nn1 = 7.0\n\nanswer = n1 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "12 buckets of water fill a tank when the capacity of each bucket is 81 litres . how many buckets will be needed to fill the same tank , if the capacity of each bucket is 9 litres ?", + "Output Program": [ + "n0 = 12.0\nn1 = 81.0\nn2 = 9.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "108" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a train is 54 kmph and including stoppages it is 36 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 54.0\nn1 = 36.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a car drives 60 miles on local roads at 20 mph , and 120 miles on the highway at 60 mph , what is the average speed of the entire trip ?", + "Output Program": [ + "n0 = 60.0\nn1 = 20.0\nn2 = 120.0\nn3 = 60.0\nt0 = n0 + n2\nt1 = n0 / n1\nt2 = n2 / n3\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 20 kmph and downstream at 80 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 20.0\nn1 = 80.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 6 pumps work to empty the tank in 1 day ?", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 2.0\nn3 = 6.0\nn4 = 1.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / n3\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a pipe can fill a cistern in 55 minutes . find the time in which 1 / 11 part of the cistern will be filled ?", + "Output Program": [ + "n0 = 55.0\nn1 = 1.0\nn2 = 11.0\nt0 = n1 / n2\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "if the perimeter of a rectangular garden is 600 m , its length when its breadth is 95 m is ?", + "Output Program": [ + "n0 = 600.0\nn1 = 95.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "205" + ], + "split": "train" + }, + { + "Input": "6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days d do they need to finish the same job ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 3.0\nn3 = 4.0\nt0 = n0 + n3\nt1 = n0 * n1\nt2 = n0 * n2\nt3 = t1 - t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "if 12 men can reap 120 acres of land in 36 days , how many acres of land can 54 men reap in 54 days ?", + "Output Program": [ + "n0 = 12.0\nn1 = 120.0\nn2 = 36.0\nn3 = 54.0\nn4 = 54.0\nt0 = n3 / n0\nt1 = n4 / n2\nt2 = t0 * t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "810" + ], + "split": "train" + }, + { + "Input": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 20 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 36.0\nn2 = 20.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "a & b can separately do a piece of work in 20 & 15 days . they worked together for 6 days , after which b was replaced by c . the work was finished in next 5 days . the no . of days in which c alone could do the work is", + "Output Program": [ + "n0 = 20.0\nn1 = 15.0\nn2 = 6.0\nn3 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nt4 = 1.0 - t3\nt5 = t4 / n3\nt6 = t5 - t0\nt7 = 1 / t6\nanswer = t7 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "49.99999999999996" + ], + "split": "train" + }, + { + "Input": "edward ' s home have 3 taps , one tap , working alone at its maximum constant rate , can fill a certain sink in 270 seconds . a second tap working alone at its maximum constant rate , can fill a certain sink in 274 seconds . a third tap , working alone at its maximum constant rate , can fill the same sink in 276 seconds . if all taps work together at their respective maximum constant rates , the time it will take to fill the sink is closest to", + "Output Program": [ + "n0 = 3.0\nn1 = 270.0\nn2 = 274.0\nn3 = 276.0\nt0 = n1 / n0\nt1 = n2 / n0\nt2 = n3 / n0\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = t4 / n0\nprint(answer)" + ], + "Output Answer": [ + "91.1111111111111" + ], + "split": "train" + }, + { + "Input": "a and b can do a piece of work in 10 days , b and c in 15 days , c and a in 12 days . how long will c take to do it ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 12.0\nt0 = n0 * 3.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t5 / 2.0\nt7 = t6 - t1\nanswer = t0 / t7\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a certain number of men complete a piece of work in 60 days . if there were 8 men more , the work could be finished in 10 days less . how many men were originally there ?", + "Output Program": [ + "n0 = 60.0\nn1 = 8.0\nn2 = 10.0\nt0 = n0 - n2\nt1 = n1 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 7.5 m x 6 m x 22.5 cm ?", + "Output Program": [ + "n0 = 25.0\nn1 = 11.25\nn2 = 6.0\nn3 = 7.5\nn4 = 6.0\nn5 = 22.5\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "6000" + ], + "split": "train" + }, + { + "Input": "along a yard 441 metres long , 22 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between two consecutive trees", + "Output Program": [ + "n0 = 441.0\nn1 = 22.0\nt0 = n1 - 1.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 32 ft long . what is the distance traveled by the cart , when the front wheel has done 5 more revolutions than the rear wheel ?", + "Output Program": [ + "n0 = 30.0\nn1 = 32.0\nn2 = 5.0\nt0 = n0 * n2\nt1 = n1 - n0\nt2 = t0 / t1\nt3 = n2 + t2\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "2400" + ], + "split": "train" + }, + { + "Input": "a boat moves upstream at the rate of 1 km in 20 minutes and down stream 1 km in 15 minutes . then the speed of the current is :", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 1.0\nn3 = 15.0\nt0 = n0 / n3\nt1 = n0 / n1\nt2 = t0 * 60.0\nt3 = t1 * 60.0\nt4 = t2 - t3\nanswer = t4 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "how many times are the hands of a clock at right angle in 5 days ?", + "Output Program": [ + "n0 = 5.0\nt0 = 12.0 * 2.0\nt1 = 12.0 * 4.0\nt2 = n0 * t0\nt3 = t1 - 4.0\nt4 = t2 * t3\nanswer = t4 / t0\nprint(answer)" + ], + "Output Answer": [ + "220" + ], + "split": "train" + }, + { + "Input": "how long does a train 150 m long traveling at 50 kmph takes to cross a bridge of 250 m in length ?", + "Output Program": [ + "n0 = 150.0\nn1 = 50.0\nn2 = 250.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "28.79769618430526" + ], + "split": "train" + }, + { + "Input": "a train 50 m long passes a platform 100 m long in 10 seconds . the speed of the train in m / sec is ?", + "Output Program": [ + "n0 = 50.0\nn1 = 100.0\nn2 = 10.0\nt0 = n0 + n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a work which could be finished in 12 days was finished 3 days earlier after 10 more men joined . the number of men employed was ?", + "Output Program": [ + "n0 = 12.0\nn1 = 3.0\nn2 = 10.0\nt0 = n1 * 2.0\nt1 = n2 * t0\nt2 = n0 - t0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a can run 4 times as fast as b and gives b a start of 69 m . how long should the race course be so that a and b might reach in the same time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 69.0\nt0 = n1 / n0\nt1 = n0 - 1.0\nt2 = t0 / t1\nt3 = n0 * t2\nanswer = n1 + t3\nprint(answer)" + ], + "Output Answer": [ + "92" + ], + "split": "train" + }, + { + "Input": "what distance will be covered by a city bus moving at 72 kmph in 30 seconds ?", + "Output Program": [ + "n0 = 72.0\nn1 = 30.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "600.048" + ], + "split": "train" + }, + { + "Input": "a 240 meter long train crosses a man standing on the platform in 6 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 240.0\nn1 = 6.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "144" + ], + "split": "train" + }, + { + "Input": "a person travels equal distances with speeds of 2 km / hr , 6 km / hr , 6 km / hr . and takes a total time of 11 minutes . find the total distance ?", + "Output Program": [ + "n0 = 2.0\nn1 = 6.0\nn2 = 6.0\nn3 = 11.0\nt0 = n3 / 60.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = 1.0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t0 / t5\nt7 = t6 * 3.0\nanswer = t7 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "660" + ], + "split": "train" + }, + { + "Input": "natasha climbs up a hill , and descends along the same way she went up . it takes her 4 hours to reach the top and 2 hours to come back down . if her average speed along the whole journey is 3 kilometers per hour , what was her average speed ( in kilometers per hour ) while climbing to the top ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 3.0\nt0 = n0 + n1\nt1 = n2 * t0\nt2 = t1 / n1\nanswer = t2 / n0\nprint(answer)" + ], + "Output Answer": [ + "2.25" + ], + "split": "train" + }, + { + "Input": "mike drives his new corvette from san francisco to las vegas , a journey of 640 miles . he drives the first half of the trip at an average rate of 80 miles per hour , but has to slow down for the second half of his journey . if the second half of the trip takes him 200 percent longer than the first half , what is his average rate p in miles per hour for the entire trip ?", + "Output Program": [ + "n0 = 640.0\nn1 = 80.0\nn2 = 200.0\nt0 = n0 / 2.0\nt1 = t0 / n1\nt2 = t1 * 2.0\nt3 = t1 + t2\nt4 = t3 + t1\nanswer = n0 / t4\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 120 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", + "Output Program": [ + "n0 = 2.0\nn1 = 1.0\nn2 = 1.0\nn3 = 120.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "112.5" + ], + "split": "train" + }, + { + "Input": "an engineer undertakes a project to build a road 15 km long in 300 days and employs 55 men for the purpose . after 100 days , he finds only 2.5 km of the road has been completed . find the ( approximate ) number of extra men he must employ to finish the work in time .", + "Output Program": [ + "n0 = 15.0\nn1 = 300.0\nn2 = 55.0\nn3 = 100.0\nn4 = 2.5\nt0 = n0 - n4\nt1 = n1 - n3\nt2 = n2 * t0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t4 / t3\nanswer = t5 - n2\nprint(answer)" + ], + "Output Answer": [ + "82.5" + ], + "split": "train" + }, + { + "Input": "1200 men have provisions for 18 days . if 450 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 18.0\nn2 = 450.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "13.090909090909092" + ], + "split": "train" + }, + { + "Input": "the time it took car p to travel 150 miles was 2 hours less than the time it took car r to travel the same distance . if car p \u2019 s average speed was 10 miles per hour greater than that of car r , what was car r \u2019 s average speed , in miles per hour ?", + "Output Program": [ + "import math\nn0 = 150.0\nn1 = 2.0\nn2 = 10.0\nt0 = n0 * n2\nt1 = -n2\nt2 = t0 / n1\nt3 = t1**min(n1, 5)\nt4 = -t2\nt5 = t4 * 4.0\nt6 = t3 - t5\nt7 = math.sqrt(max(0, t6))\nt8 = t1 + t7\nanswer = t8 / n1\nprint(answer)" + ], + "Output Answer": [ + "22.83882181415011" + ], + "split": "train" + }, + { + "Input": "a certain number of workers can do a work in 25 days . if there were 10 workers more it could be finished in 10 days less . how many workers are there ?", + "Output Program": [ + "n0 = 25.0\nn1 = 10.0\nn2 = 10.0\nt0 = n0 - n1\nt1 = n1 * t0\nt2 = n0 - t0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 45 kmph and downstream at 55 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 45.0\nn1 = 55.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "the speed of a subway train is represented by the equation z = s ^ 2 + 2 s for all situations where 0 \u2264 s \u2264 7 , where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving . in kilometers per hour , how much faster is the subway train moving after 7 seconds than it was moving after 4 seconds ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 0.0\nn3 = 7.0\nn4 = 7.0\nn5 = 4.0\nt0 = n0 * n4\nt1 = n0 * n5\nt2 = n4**min(n0, 5)\nt3 = n5**min(n0, 5)\nt4 = t0 + t2\nt5 = t1 + t3\nanswer = t4 - t5\nprint(answer)" + ], + "Output Answer": [ + "39" + ], + "split": "train" + }, + { + "Input": "a boat having a length 8 m and breadth 3 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :", + "Output Program": [ + "n0 = 8.0\nn1 = 3.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 86 kmph and including stoppages , it is 76 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 86.0\nn1 = 76.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "6.976744186046512" + ], + "split": "train" + }, + { + "Input": "a can finish a work in 12 days and b can do the same work in 15 days . b worked for 10 days and left the job . in how many days , a alone can finish the remaining work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 15.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = n2 * t0\nt2 = n0 * t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "two trains are moving in opposite directions with speed of 90 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds", + "Output Program": [ + "n0 = 90.0\nn1 = 90.0\nn2 = 1.1\nn3 = 0.9\nt0 = n2 + n3\nt1 = n0 + n1\nt2 = t0 / t1\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a car gets 30 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 200 kilometers ?", + "Output Program": [ + "n0 = 30.0\nn1 = 200.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "6.666666666666667" + ], + "split": "train" + }, + { + "Input": "jake can dig a well in 16 days . paul can dig the same well in 24 days . jake , paul and hari together dig the well in 8 days . hari alone can dig the well in", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nn2 = 8.0\nt0 = 1.0 / n2\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = t1 + t2\nt4 = t0 - t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "47.99999999999998" + ], + "split": "train" + }, + { + "Input": "walking with 5 / 4 of my usual speed , i miss the bus by 5 minutes . what is my usual time ?", + "Output Program": [ + "n0 = 5.0\nn1 = 4.0\nn2 = 5.0\nt0 = n1 / 4.0\nt1 = n2 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "water boils at 212 \u00b0 f or 100 \u00b0 c and melts at 32 \u00b0 f or 0 \u00b0 c . if the temperature of the particular day is 35 \u00b0 c , it is equal to", + "Output Program": [ + "n0 = 212.0\nn1 = 100.0\nn2 = 32.0\nn3 = 0.0\nn4 = 35.0\nt0 = n4 / n1\nt1 = n0 - n2\nt2 = t0 * t1\nanswer = n2 + t2\nprint(answer)" + ], + "Output Answer": [ + "95" + ], + "split": "train" + }, + { + "Input": "a pipe can empty 2 / 3 rd of a cistern in 12 mins . in 8 mins , what part of the cistern will be empty ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 12.0\nn3 = 8.0\nt0 = n0 / n1\nt1 = n3 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "0.4444444444444444" + ], + "split": "train" + }, + { + "Input": "points x , y , and z lie , in that order , on a straight railroad track . the distance from point x to point y is twice the distance from point y to point z . a train traveled from point x to point z without stopping . the train ' s average speed when traveling from point x to point y was 100 miles per hour and the train ' s average speed when traveling from point y to point z was 75 miles per hour . what was the train ' s average speed , in miles per hour , when traveling from point x to point z ?", + "Output Program": [ + "n0 = 100.0\nn1 = 75.0\nt0 = n0 / n1\nt1 = 2.0 / t0\nt2 = t1 + 1.0\nt3 = 3.0 / t2\nanswer = n1 * t3\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "the sides of a rectangular field are in the ratio 3 : 4 . if the area of the field is 9408 sq . m , the cost of fencing the field @ 25 paise per metre is", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 4.0\nn2 = 9408.0\nn3 = 25.0\nt0 = n0 * n1\nt1 = n2 / t0\nt2 = math.sqrt(max(0, t1))\nt3 = n0 * t2\nt4 = n1 * t2\nt5 = 2 * (t3 + t4) # perimetere of rectangle\nt6 = n3 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "98" + ], + "split": "train" + }, + { + "Input": "two trains 140 m and 200 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 140.0\nn1 = 200.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "12.239020878329734" + ], + "split": "train" + }, + { + "Input": "how many cubes of 5 cm edge can be put in a cubical box of 1 m edge .", + "Output Program": [ + "n0 = 5.0\nn1 = 1.0\nt0 = n0 / 100.0\nt1 = n1**3\nt2 = t0**3\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "7999.999999999998" + ], + "split": "train" + }, + { + "Input": "a van takes 5 hours to cover a distance of 435 km . what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time ?", + "Output Program": [ + "n0 = 5.0\nn1 = 435.0\nn2 = 3.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "58" + ], + "split": "train" + }, + { + "Input": "a , b and c can do a piece of work in 24 , 30 and 40 days respectively . they start the work together but c leaves 4 days before the completion of the work . in how many days is the work done ?", + "Output Program": [ + "n0 = 24.0\nn1 = 30.0\nn2 = 40.0\nn3 = 4.0\nt0 = n2 - n1\nt1 = n0 - t0\nt2 = t1 - n3\nanswer = t2 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "a train is moving at 4 / 5 of its usual speed . the train is 30 minutes too late . what is the usual time ( in hours ) for the train to complete the journey ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 30.0\nt0 = n0 / n1\nt1 = n2 * t0\nt2 = 1.0 - t0\nt3 = 1 / t2\nt4 = t3 * t1\nanswer = t4 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "2.0000000000000004" + ], + "split": "train" + }, + { + "Input": "the speed of a car increases by 2 kms after every one hour . if the distance travelling in the first one hour was 50 kms . what was the total distance traveled in 12 hours ?", + "Output Program": [ + "n0 = 2.0\nn1 = 50.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = n0 * n1\nt2 = n2 - 1.0\nt3 = n0 * t2\nt4 = t1 + t3\nanswer = t4 * t0\nprint(answer)" + ], + "Output Answer": [ + "732" + ], + "split": "train" + }, + { + "Input": "10 men and 15 women together can complete a work in 5 days . it takes 100 days for one man alone to complete the same work . how many days will be required for one woman alone to complete the same work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 5.0\nn3 = 100.0\nt0 = n3 * 1.0\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = t0 - t1\nt4 = t0 / t3\nanswer = t4 * t2\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "a hollow iron pipe is 21 cm long and its external diameter is 8 cm . if the thickness of the pipe is 1 cm and iron weighs 8 g / cm 3 , then the weight of the pipe is", + "Output Program": [ + "import math\nn0 = 21.0\nn1 = 8.0\nn2 = 1.0\nn3 = 8.0\nn4 = 3.0\nt0 = n1 / 2.0\nt1 = t0 - n2\nt2 = math.pi * t0**2 * n0\nt3 = math.pi * t1**2 * n0\nt4 = t2 - t3\nt5 = n1 * t4\nanswer = t5 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "3.694512960621597" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 110 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 110.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "265" + ], + "split": "train" + }, + { + "Input": "if 16 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days ?", + "Output Program": [ + "n0 = 16.0\nn1 = 80.0\nn2 = 24.0\nn3 = 36.0\nn4 = 30.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t1 / n1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "train" + }, + { + "Input": "if jack walked 9 miles in 1 hour and 15 minutes , what was his rate of walking in miles per hour ?", + "Output Program": [ + "n0 = 9.0\nn1 = 1.0\nn2 = 15.0\nt0 = n2 + 60.0\nt1 = n0 * 60.0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "7.2" + ], + "split": "train" + }, + { + "Input": "a train 225 m long running at 90 kmph crosses a platform in 25 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 225.0\nn1 = 90.0\nn2 = 25.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "400.04999999999995" + ], + "split": "train" + }, + { + "Input": "a 600 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 600.0\nn1 = 39.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "700" + ], + "split": "train" + }, + { + "Input": "tammy climbed a mountain in two days . she spent a total of 14 hours climbing the mountain . on the second day , she walked at an average speed that was half a kilometer per hour faster , but 2 hours less than what she walked on the first day . if the total distance she climbed during the two days is 52 kilometers , how many r kilometers per hour did tammy walk on the second day ?", + "Output Program": [ + "n0 = 14.0\nn1 = 2.0\nn2 = 52.0\nt0 = n0 + n1\nt1 = 1.0 / n1\nt2 = t0 / n1\nt3 = t2 - n1\nt4 = t2 + t3\nt5 = t3 / n1\nt6 = n2 - t5\nt7 = t6 / t4\nanswer = t7 + t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is traveling at 80 kmph observes that a goods train , traveling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed . ?", + "Output Program": [ + "n0 = 80.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 58 days for the patch to cover the entire lake , how many days would it take the patch to cover half of the lake ?", + "Output Program": [ + "n0 = 58.0\n\nanswer = n0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "57" + ], + "split": "train" + }, + { + "Input": "a 160 meter long train crosses a man standing on the platform in 8 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 160.0\nn1 = 8.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "18 beavers , working together in a constant pace , can build a dam in 12 hours . how many hours will it take 12 beavers that work at the same pace , to build the same dam ?", + "Output Program": [ + "n0 = 18.0\nn1 = 12.0\nn2 = 12.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a company produces 120000 bottles of water everyday . if a case can hold 12 bottles of water . how many cases are required by the company to hold its one day production", + "Output Program": [ + "n0 = 120000.0\nn1 = 12.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "10000" + ], + "split": "train" + }, + { + "Input": "a small water pump would take 3 hours to fill an empty tank . a larger pump would take 1 / 4 hour to fill the same tank . how many hours would it take both pumps , working at their respective constant rates , to fill the empty tank if they began pumping at the same time ?", + "Output Program": [ + "n0 = 3.0\nn1 = 1.0\nn2 = 4.0\nt0 = 1 / n0\nt1 = n2 + t0\nanswer = 1 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.23076923076923078" + ], + "split": "train" + }, + { + "Input": "a worker can load one truck in 5 hours . a second worker can load the same truck in 8 hours . if both workers load one truck simultaneously while maintaining their constant rates , approximately how long , in hours , will it take them to fill one truck ?", + "Output Program": [ + "n0 = 5.0\nn1 = 8.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.0769230769230766" + ], + "split": "train" + }, + { + "Input": "1000 boys have provisions for 15 days . if 200 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 15.0\nn2 = 200.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "12.5" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 150 metres long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 150.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "train" + }, + { + "Input": "a car averages 35 miles per hour for the first 4 hours of a trip and averages 44 miles per hour for each additional hour of travel time . if the average speed for the entire trip is 38 miles per hour , how many hours long is the trip ?", + "Output Program": [ + "n0 = 35.0\nn1 = 4.0\nn2 = 44.0\nn3 = 38.0\nt0 = n1 * n3\nt1 = n0 * n1\nt2 = n2 - n3\nt3 = t0 - t1\nt4 = t3 / t2\nanswer = n1 + t4\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "350" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 220 metre long train take to cross a man running with a speed of 8 km / hr in the direction of the moving train if the speed of the train is 80 km / hr ?", + "Output Program": [ + "n0 = 220.0\nn1 = 8.0\nn2 = 80.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "10.999120070394369" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 16 minutes and pipe b cam empty it in 24 minutes . if both the pipes are opened together after how many minutes should pipe b be closed , so that the tank is filled in 30 minutes ?", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nn2 = 30.0\nt0 = n2 / n0\nt1 = t0 - 1.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "a train travelling at a speed of 75 mph enters a tunnel 31 / 2 miles long . the train is 1 / 4 mile long . how long does it take for the train to pass through the tunnel from the moment the front enters to the moment the rear emerges ?", + "Output Program": [ + "n0 = 75.0\nn1 = 31.0\nn2 = 2.0\nn3 = 1.0\nn4 = 4.0\nt0 = 3.0 + 4.0\nt1 = n3 / n4\nt2 = t0 / n2\nt3 = t1 + t2\nt4 = t3 / n0\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 km / hr and crosses a 210 m long platform in 26 sec . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 210.0\nn2 = 26.0\nt0 = n0 / 3600.0\nt1 = t0 * 1000.0\nt2 = n2 * t1\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "310" + ], + "split": "train" + }, + { + "Input": "an outlet pipe empties a tank which is full in 10 hours . if the inlet pipe is kept open , which lets water in at the rate of 16 litres / min then outlet pipe would take 8 hours longer . find the capacity of the tank .", + "Output Program": [ + "n0 = 10.0\nn1 = 16.0\nn2 = 8.0\nt0 = n0 + n2\nt1 = n1 * 60.0\nt2 = t0 * t1\nt3 = t2 / n2\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "21600" + ], + "split": "train" + }, + { + "Input": "a boat takes 19 hours for travelling downstream fro poin a to point b and coming back to a point c midway between a and b . if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph , what is the distance between a and b ?", + "Output Program": [ + "n0 = 19.0\nn1 = 4.0\nn2 = 14.0\nt0 = n1 + n2\nt1 = n2 - n1\nt2 = 1 / t0\nt3 = t1 * 2.0\nt4 = 1 / t3\nt5 = t4 + t2\nanswer = n0 / t5\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "how long does a train 120 m long travelling at 60 kmph takes to cross a bridge of 170 m in length ?", + "Output Program": [ + "n0 = 120.0\nn1 = 60.0\nn2 = 170.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.39860811135109" + ], + "split": "train" + }, + { + "Input": "the speed of a train is 90 kmph . what is the distance covered by it in 15 minutes ?", + "Output Program": [ + "n0 = 90.0\nn1 = 15.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "22.5" + ], + "split": "train" + }, + { + "Input": "two trains are moving at 80 kmph and 70 kmph in opposite directions . their lengths are 150 m and 100 m respectively . the time they will take to pass each other completely is ?", + "Output Program": [ + "n0 = 80.0\nn1 = 70.0\nn2 = 150.0\nn3 = 100.0\nt0 = n2 + n3\nt1 = n0 + n1\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.999520038396928" + ], + "split": "train" + }, + { + "Input": "a train 110 m long running at 52 kmph crosses a platform in 30 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 110.0\nn1 = 52.0\nn2 = 30.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "323.36799999999994" + ], + "split": "train" + }, + { + "Input": "the distance from city a to city b is 120 miles . while driving from city a to city b , cara drives at a constant speed of 30 miles per hour . dan leaves city a 90 minutes after cara . what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ?", + "Output Program": [ + "n0 = 120.0\nn1 = 30.0\nn2 = 90.0\nt0 = n0 / n1\nt1 = n2 / 60.0\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "if 18 bindres bind 900 books in 10 days , how many binders will be required to bind 660 books in 12 days ?", + "Output Program": [ + "n0 = 18.0\nn1 = 900.0\nn2 = 10.0\nn3 = 660.0\nn4 = 12.0\nt0 = n2 * n3\nt1 = n1 * n4\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 4 seconds . find the length of the train .", + "Output Program": [ + "n0 = 60.0\nn1 = 4.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "66.66666666666667" + ], + "split": "train" + }, + { + "Input": "75 men working 8 hours per day dig 50 m deep . how many extra men should be put to dig to a depth of 70 m working 6 hours per day ?", + "Output Program": [ + "n0 = 75.0\nn1 = 8.0\nn2 = 50.0\nn3 = 70.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n3 * t1\nt3 = t2 / n4\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "train" + }, + { + "Input": "nhai employs 100 men to build a highway of 2 km in 50 days working 8 hours a day . if in 25 days they completed 1 / 3 part of work . than how many more employees should nhai hire to finish it in time working 10 hours a day ?", + "Output Program": [ + "n0 = 100.0\nn1 = 2.0\nn2 = 50.0\nn3 = 8.0\nn4 = 25.0\nn5 = 1.0\nn6 = 3.0\nn7 = 10.0\nt0 = n0 * n4\nt1 = n4 * n7\nt2 = n3 * t0\nt3 = n1 * t2\nt4 = t3 / t1\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a train 490 m long , running with a speed of 63 km / hr will pass a tree in ?", + "Output Program": [ + "n0 = 490.0\nn1 = 63.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "george does 3 / 5 th of a piece of work in 9 days . he then calls in paul , and they finish the work in 4 days . how long would paul take to do the work by himself ?", + "Output Program": [ + "n0 = 3.0\nn1 = 5.0\nn2 = 9.0\nn3 = 4.0\nt0 = n0 / n1\nt1 = n1 * 3.0\nt2 = 1.0 / t1\nt3 = 1.0 - t0\nt4 = n3 * t2\nt5 = t3 - t4\nt6 = t5 / 4.0\nanswer = 1 / t6\nprint(answer)" + ], + "Output Answer": [ + "29.999999999999993" + ], + "split": "train" + }, + { + "Input": "a boat sails 15 km of a river towards upstream in 5 hours . how long will it take to cover the same distance downstream , if the speed of current is one - fourth the speed of the boat in still water :", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "along a yard 255 metres long , 18 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between two consecutive trees", + "Output Program": [ + "n0 = 255.0\nn1 = 18.0\nt0 = n1 - 1.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "how much time will a train of length 280 m moving at a speed of 72 kmph take to cross another train of length 360 m , moving at 36 kmph in the same direction ?", + "Output Program": [ + "n0 = 280.0\nn1 = 72.0\nn2 = 360.0\nn3 = 36.0\nt0 = n0 + n2\nt1 = n1 - n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "63.99488040956724" + ], + "split": "train" + }, + { + "Input": "i travel the first part of my journey at 40 kmph and the second part at 60 kmph and cover the total distance of 240 km to my destination in 5 hours . how long did the first part of my journey last ?", + "Output Program": [ + "n0 = 40.0\nn1 = 60.0\nn2 = 240.0\nn3 = 5.0\nt0 = n1 * n3\nt1 = n1 - n0\nt2 = t0 - n2\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a boat having a length 4 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "the cross - section of a water channel is a trapezium in shape . if the channel is 12 meters wide at the top and 8 meters wide at the bottom and the area of cross - section is 700 square meters , what is the depth of the channel ( in meters ) ?", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 700.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "p , q and r together earn rs . 1620 in 9 days . p and r can earn rs . 600 in 5 days . q and r in 7 days can earn rs . 910 . how much amount does r can earn per day ?", + "Output Program": [ + "n0 = 1620.0\nn1 = 9.0\nn2 = 600.0\nn3 = 5.0\nn4 = 7.0\nn5 = 910.0\nt0 = n2 / n3\nt1 = n5 / n4\nt2 = n0 / n1\nt3 = t0 + t1\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "two motor cycles a & b are started from one point at 4 kmph & 6 kmph ; after 45 min b starts returning , at what time they will meet ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 45.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nt2 = n1 * t1\nt3 = n0 * t1\nt4 = t2 - t3\nt5 = t4 / t0\nt6 = t5 * 60.0\nanswer = n2 + t6\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "two trains a and b start simultaneously in the opposite direction from two points p and q and arrive at their destinations 16 and 9 hours respectively after their meeting each other . at what speed does the second train b travel if the first train travels at 120 km / h", + "Output Program": [ + "import math\nn0 = 16.0\nn1 = 9.0\nn2 = 120.0\nt0 = math.sqrt(max(0, n0))\nt1 = math.sqrt(max(0, n1))\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "a man , a woman and a boy can together complete a piece of work in 3 days . if a man alone can do it in 6 days and a boy alone in 12 days , how long will a woman take to complete the work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nn2 = 12.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t1 + t2\nt4 = t0 - t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "train" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of $ 400 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 400.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "8250" + ], + "split": "train" + }, + { + "Input": "a plant manager must assign 10 new workers to one of five shifts . she needs a first , second , and third shift , and two alternate shifts . each of the shifts will receive 2 new workers . how many different ways can she assign the new workers ?", + "Output Program": [ + "import math\nn0 = 10.0\nn1 = 2.0\nt0 = n0 / n1\nt1 = math.factorial(min(15, int(n0)))\nt2 = math.factorial(min(15, int(n1)))\nt3 = n0 - n1\nt4 = math.factorial(min(15, int(t0)))\nt5 = math.factorial(min(15, int(t3)))\nt6 = t4 / 2.0\nt7 = t5 * t2\nt8 = t1 / t7\nanswer = t6 * t8\nprint(answer)" + ], + "Output Answer": [ + "2700" + ], + "split": "train" + }, + { + "Input": "to fill a tank , 200 buckets of water is required . how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 4 - fifths of its present ?", + "Output Program": [ + "n0 = 200.0\nn1 = 4.0\nt0 = 10.0 / 2.0\nt1 = n1 / t0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "train" + }, + { + "Input": "a man can row 4 kmph is still water . if the river is running at 2 kmph it takes 90 min to row to a place and back . how far is the place", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 90.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nt2 = n0 - n1\nt3 = 1 / t0\nt4 = 1 / t2\nt5 = t3 + t4\nanswer = t1 / t5\nprint(answer)" + ], + "Output Answer": [ + "2.25" + ], + "split": "train" + }, + { + "Input": "a can do a work in 6 days . b can do in 12 days . if both a & b are working together in how many days they can finish the work ?", + "Output Program": [ + "n0 = 6.0\nn1 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a 240 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", + "Output Program": [ + "n0 = 240.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "260.03999999999996" + ], + "split": "train" + }, + { + "Input": "a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets into it . the mass of the man is :", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 6 meters , and the interior of tank b has a height of 6 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?", + "Output Program": [ + "n0 = 10.0\nn1 = 6.0\nn2 = 6.0\nn3 = 10.0\nt0 = n0 / n2\nt1 = n1 / n3\nt2 = t1**min(2.0, 5)\nt3 = t0 * t2\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a jogger running at 9 kmph along side a railway track is 270 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?", + "Output Program": [ + "n0 = 9.0\nn1 = 270.0\nn2 = 120.0\nn3 = 45.0\nt0 = n1 + n2\nt1 = n3 - n0\nt2 = t0 / 1000.0\nt3 = t2 / t1\nt4 = t3 * 60.0\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "39" + ], + "split": "train" + }, + { + "Input": "a truck covers a distance of 296 km at a certain speed in 8 hours . how much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 6.5 km more than that travelled by the truck ?", + "Output Program": [ + "n0 = 296.0\nn1 = 8.0\nn2 = 18.0\nn3 = 6.5\nt0 = n0 + n3\nt1 = n0 / n1\nt2 = n2 + t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.5" + ], + "split": "train" + }, + { + "Input": "a train 500 m long , running with a speed of 180 km / hr will pass a tree in ?", + "Output Program": [ + "n0 = 500.0\nn1 = 180.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 24 km / hr and the rate of current is 3 km / hr . the distance travelled downstream in 15 minutes is", + "Output Program": [ + "n0 = 24.0\nn1 = 3.0\nn2 = 15.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "6.75" + ], + "split": "train" + }, + { + "Input": "two trains 111 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 111.0\nn1 = 165.0\nn2 = 80.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.851865643851941" + ], + "split": "train" + }, + { + "Input": "two women started running simultaneously around a circular track of length 1800 m from the same point at speeds of 10 km / hr and 20 km / hr . when will they meet for the first time any where on the track if they are moving in opposite directions ?", + "Output Program": [ + "n0 = 1800.0\nn1 = 10.0\nn2 = 20.0\nt0 = n1 * 0.2778\nt1 = n2 * 0.2778\nt2 = t0 + t1\nt3 = n0 / t2\nanswer = t3 / 3.0\nprint(answer)" + ], + "Output Answer": [ + "71.99424046076314" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 kmph and crosses a 240 m long platform in 26 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 240.0\nn2 = 26.0\nt0 = n0 * 0.2778\nt1 = n1 / t0\nt2 = n2 - t1\nanswer = t0 * t2\nprint(answer)" + ], + "Output Answer": [ + "280.04159999999996" + ], + "split": "train" + }, + { + "Input": "how much time will a train of length 300 m moving at a speed of 72 kmph take to cross another train of length 500 m , moving at 36 kmph in the same direction ?", + "Output Program": [ + "n0 = 300.0\nn1 = 72.0\nn2 = 500.0\nn3 = 36.0\nt0 = n0 + n2\nt1 = n1 - n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "79.99360051195904" + ], + "split": "train" + }, + { + "Input": "x , y and z , each working alone can complete a job in 2 , 4 and 6 days respectively . if all three of them work together to complete a job and earn $ 2000 , what will be z ' s share of the earnings ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nn2 = 6.0\nn3 = 2000.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = n3 / t4\nanswer = t5 * t0\nprint(answer)" + ], + "Output Answer": [ + "1090.909090909091" + ], + "split": "train" + }, + { + "Input": "nicky and cristina are running a race . since cristina is faster than nicky , she gives him a 30 meter head start . if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ?", + "Output Program": [ + "n0 = 30.0\nn1 = 5.0\nn2 = 3.0\nt0 = n1 - n2\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8 m x 6.6 m x 22.5 cm ?", + "Output Program": [ + "n0 = 25.0\nn1 = 11.25\nn2 = 6.0\nn3 = 8.0\nn4 = 6.6\nn5 = 22.5\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "7040" + ], + "split": "train" + }, + { + "Input": "a jeep takes 4 hours to cover a distance of 620 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 620.0\nn2 = 3.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "103.33333333333333" + ], + "split": "train" + }, + { + "Input": "a train crosses a platform of 130 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ?", + "Output Program": [ + "n0 = 130.0\nn1 = 15.0\nn2 = 250.0\nn3 = 20.0\nt0 = n1 / 3.0\nt1 = n1 / t0\nt2 = n3 / t0\nt3 = n2 * t1\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "230" + ], + "split": "train" + }, + { + "Input": "a train running at 1 / 2 of its own speed reached a place in 8 hours . how much time could be saved if the train would have run at its own speed ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 8.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "what is the radius of a circle that has a circumference of 3.14 meters ?", + "Output Program": [ + "n0 = 3.14\nt0 = 2.0 * 3.141592653589793\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.4997465213085514" + ], + "split": "train" + }, + { + "Input": "if it takes a machine 1 \u2044 3 minute to produce one item , how many items will it produce in 2 hours ?", + "Output Program": [ + "n0 = 1.0\nn1 = 3.0\nn2 = 2.0\nt0 = n0 / n1\nt1 = n2 * 60.0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "360" + ], + "split": "train" + }, + { + "Input": "a person crosses a 300 m long street in 4 minutes . what is his speed in km per hour ?", + "Output Program": [ + "n0 = 300.0\nn1 = 4.0\nt0 = n0 / 1000.0\nt1 = n1 * 60.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "train" + }, + { + "Input": "walking at 5 / 6 of its usual speed , a train is 10 minutes too late . find its usual time to cover the journey .", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 10.0\nt0 = n0 / n1\nt1 = 1 / t0\nt2 = t1 - 1.0\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "50.000000000000014" + ], + "split": "train" + }, + { + "Input": "two trains of equal lengths take 15 sec and 20 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ?", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 120.0\nt0 = n2 * 2.0\nt1 = n2 / n1\nt2 = n2 / n0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "17.142857142857142" + ], + "split": "train" + }, + { + "Input": "a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 8 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 4.0\nn1 = 8.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a man can do a piece of work in 5 days , but with the help of his son , he can do it in 3 days . in what time can the son do it alone ?", + "Output Program": [ + "n0 = 5.0\nn1 = 3.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "train" + }, + { + "Input": "annika hikes at a constant rate of 10 minutes per kilometer . she has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 45 minutes . if annika continues east , then turns around and retraces her path to reach the start of the trail in exactly 45 minutes , for how many kilometers total did she hike east ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.75\nn2 = 45.0\nn3 = 45.0\nt0 = n2 / n0\nt1 = t0 - n1\nt2 = t1 / 2.0\nanswer = n1 + t2\nprint(answer)" + ], + "Output Answer": [ + "3.625" + ], + "split": "train" + }, + { + "Input": "two trains 161 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 161.0\nn1 = 165.0\nn2 = 80.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "8.093145651796132" + ], + "split": "train" + }, + { + "Input": "on sunday morning , pugsley and wednesday are trading pet spiders . if pugsley were to give wednesday two of his spiders , wednesday would then have 9 times as many spiders as pugsley does . but , if wednesday were to give pugsley 6 of her spiders , pugsley would now have 6 fewer spiders than wednesday had before they traded . how many pet spiders does pugsley have before the trading game commences ?", + "Output Program": [ + "n0 = 9.0\nn1 = 6.0\nn2 = 6.0\nt0 = n1 + n1\nt1 = n1 + 2.0\nt2 = n1 + t0\nt3 = n0 * t0\nt4 = t2 + t3\nt5 = t4 + 2.0\nt6 = t5 / t1\nanswer = t6 - t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "if the weight of 13 meters long rod is 23.4 kg . what is the weight of 6 meters long rod ?", + "Output Program": [ + "n0 = 13.0\nn1 = 23.4\nn2 = 6.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "10.799999999999999" + ], + "split": "train" + }, + { + "Input": "two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 15 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?", + "Output Program": [ + "n0 = 500.0\nn1 = 45.0\nn2 = 15.0\n\nanswer = n1 + n2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "what is the speed of the stream if a canoe rows upstream at 9 km / hr and downstream at 12 km / hr", + "Output Program": [ + "n0 = 9.0\nn1 = 12.0\nt0 = n1 - n0\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "train" + }, + { + "Input": ". a car covers a distance of 495 km in 5 hours . find its speed ?", + "Output Program": [ + "n0 = 495.0\nn1 = 5.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "99" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 5.2 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 5.2\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "26.736281798666923" + ], + "split": "train" + }, + { + "Input": "eden drove an average speed of 15 miles per hour for the first 20 miles of a tripthen at a average speed of 30 miles / hr for the remaining 20 miles of the trip if she made no stops during the trip what was eden ' s avg speed in miles / hr for the entire trip", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 30.0\nn3 = 20.0\nt0 = n1 + n1\nt1 = n1 / n0\nt2 = n1 / n2\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two numbers n and 16 have lcm = 52 and gcf = 8 . find n .", + "Output Program": [ + "n0 = 16.0\nn1 = 52.0\nn2 = 8.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "two trains 151 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 151.0\nn1 = 165.0\nn2 = 80.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.844889650207294" + ], + "split": "train" + }, + { + "Input": "20 men or 25 women can finish a work in 25 days . how many days 38 men and 15 women will take to finish this job ?", + "Output Program": [ + "n0 = 20.0\nn1 = 25.0\nn2 = 25.0\nn3 = 38.0\nn4 = 15.0\nt0 = n1 / n0\nt1 = n1 * n1\nt2 = n3 * t0\nt3 = n4 + t2\nanswer = t1 / t3\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a man can row a distance of 5 km in 60 min with the help of the tide . the direction of the tide reverses with the same speed . now he travels a further 25 km in 10 hours . how much time he would have saved if the direction of tide has not changed ?", + "Output Program": [ + "n0 = 5.0\nn1 = 60.0\nn2 = 25.0\nn3 = 10.0\nt0 = n2 / n0\nanswer = n3 - t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a train 120 m in length crosses a telegraph post in 16 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 120.0\nn1 = 16.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a train is 45 kmph and including stoppages it is 33 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 45.0\nn1 = 33.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "worker a takes 8 hours to do a job . worker b takes 10 hours to do the same job . how long should it take both a and b , working together but independently , to do the same job ?", + "Output Program": [ + "n0 = 8.0\nn1 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.444444444444445" + ], + "split": "train" + }, + { + "Input": "rectangle dimensions were given , 2 doors dimensions given , 2 windows dimensions given . 70 cm wide wallpaper to be covered on the walls of this room . cost of wallpaper is 60 per meter . . calculate total cost", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 70.0\nn3 = 60.0\n\nanswer = n3 * 1.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 15 km / hr and the rate of current is 3 km / hourr . the distance travelled downstream in 24 mins is ?", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 24.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "7.2" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 22 kmph and downstream at 42 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 22.0\nn1 = 42.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "working together , jose and jane can complete an assigned task in 5 days . however , if jose worked alone and complete half the work and then jane takes over the task and completes the second half of the task , the task will be completed in 15 days . how long will jose take to complete the task if he worked alone ? assume that jane is more efficient than jose", + "Output Program": [ + "n0 = 5.0\nn1 = 15.0\n\nanswer = n0 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "working at constant rate , pump x pumped out half of the water in a flooded basement in 3 hours . the pump y was started and the two pumps , working independently at their respective constant rates , pumped out rest of the water in 3 hours . how many hours would it have taken pump y , operating alone at its own constant rate , to pump out all of the water that was pumped out of the basement ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nt0 = n0 + n1\nt1 = t0 + 1.0\nt2 = t1 + 1.0\nt3 = t2 + 1.0\nt4 = t3 + 1.0\nt5 = t4 + 1.0\nt6 = t5 + n0\nt7 = t6 + 1.0\nt8 = t7 + 1.0\nt9 = t8 + 1.0\nt10 = t9 + 1.0\nt11 = t10 + 1.0\nanswer = t11 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "each of the three people individually can complete a certain job in 4 , 6 , and 8 hours , respectively . what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 8.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n1\nt1 = n3 / n2\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "0.29166666666666663" + ], + "split": "train" + }, + { + "Input": "if 5 parallel lines in a plane is intersected by a family of another 8 parallel lines , how many parallelograms are there in the network thus formed ?", + "Output Program": [ + "n0 = 5.0\nn1 = 8.0\nt0 = n0 - 1.0\nt1 = n1 - 1.0\nt2 = n0 * t0\nt3 = n1 * t1\nt4 = t2 / 2.0\nt5 = t3 / 2.0\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "280" + ], + "split": "train" + }, + { + "Input": "a man started driving at a constant speed , from the site of a blast , the moment he heard the blast . he heard a second blast after a time of 30 mins and 24 seconds . if the second blast occurred exactly 30 mins after the first , how many meters was he from the site when he heard the second blast ? ( speed of sound = 330 m / s )", + "Output Program": [ + "n0 = 30.0\nn1 = 24.0\nn2 = 30.0\nn3 = 330.0\n\nanswer = n1 * n3\nprint(answer)" + ], + "Output Answer": [ + "7920" + ], + "split": "train" + }, + { + "Input": "45 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 45.0\nn1 = 12.0\nn2 = 5.0\nn3 = 30.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "jim drove 923 miles of a 1200 miles journey . how many more miles does he need to drive to finish his journey ?", + "Output Program": [ + "n0 = 923.0\nn1 = 1200.0\n\nanswer = n1 - n0\nprint(answer)" + ], + "Output Answer": [ + "277" + ], + "split": "train" + }, + { + "Input": "how many cubes of 10 cm edge can be put in a cubic box of 1 m edge ?", + "Output Program": [ + "n0 = 10.0\nn1 = 1.0\nt0 = n0 / 100.0\nt1 = n1**3\nt2 = t0**3\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "999.9999999999998" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 36 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 36.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "a rectangular grassy plot 110 m . by 65 m has a gravel path 2.5 m wide all round it on the inside . find the cost of gravelling the path at 80 paise per sq . metre", + "Output Program": [ + "n0 = 110.0\nn1 = 65.0\nn2 = 2.5\nn3 = 80.0\nt0 = n0 * n1\nt1 = n2 * 2.0\nt2 = n0 - t1\nt3 = n1 - t1\nt4 = t2 * t3\nt5 = t0 - t4\nt6 = n3 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "680" + ], + "split": "train" + }, + { + "Input": "in a 100 m race , sam beats john by 5 seconds . on the contrary , if sam allowed john to start 35 m ahead of sam , then sam and john reach the finishing point at the same time . how long does sam take to run the 100 m race ?", + "Output Program": [ + "n0 = 100.0\nn1 = 5.0\nn2 = 35.0\nn3 = 100.0\nt0 = n0 - n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "train" + }, + { + "Input": "12 machines can do a work in 10 days . how many machines are needed to complete the work in 40 days ?", + "Output Program": [ + "n0 = 12.0\nn1 = 10.0\nn2 = 40.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "4 different airplanes owned by a rock band will be refueling today at the same airport . there are 2 larger planes carrying people and 2 smaller planes carrying equipment . all tanks are empty and will need to be filled completely . the 2 smaller tanks hold 60 liters each and the larger tanks are 50 % bigger . fuel is . 50 cents a liter and there is a charge of $ 100 service for each plane . how much will it cost to fill all 4 planes ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 2.0\nn3 = 2.0\nn4 = 60.0\nn5 = 50.0\nn6 = 50.0\nn7 = 100.0\nn8 = 4.0\nt0 = 1.0 / 2.0\nt1 = n0 * n7\nt2 = n1 * n4\nt3 = n4 * n5\nt4 = t3 / n7\nt5 = n4 + t4\nt6 = n1 * t5\nt7 = t2 + t6\nt8 = t7 * t0\nanswer = t1 + t8\nprint(answer)" + ], + "Output Answer": [ + "550" + ], + "split": "train" + }, + { + "Input": "a train 100 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train . find the speed of the train .", + "Output Program": [ + "n0 = 100.0\nn1 = 6.0\nn2 = 5.0\nt0 = n1 * 0.2778\nt1 = n0 / t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "54.99520038396929" + ], + "split": "train" + }, + { + "Input": "two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train catches and completely passes the slower train in 45 seconds . what is the length of each train ( in meters ) ?", + "Output Program": [ + "n0 = 46.0\nn1 = 36.0\nn2 = 45.0\nt0 = n0 - n1\nt1 = t0 * 1000.0\nt2 = t1 / 3600.0\nt3 = n2 * t2\nanswer = t3 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "62.5" + ], + "split": "train" + }, + { + "Input": "a driver goes on a trip of 60 kilometers , the first 30 kilometers at 48 kilometers per hour and the remaining distance at 24 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ?", + "Output Program": [ + "n0 = 60.0\nn1 = 30.0\nn2 = 48.0\nn3 = 24.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 / n3\nt3 = t0 + t2\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a train travelled from point a to point b at 160 km / h . on its way back the train travelled at 120 km / h and therefore the trip back lasted one hour longer . what is the distance ( in km ) between a and b ?", + "Output Program": [ + "n0 = 160.0\nn1 = 120.0\nt0 = n0 - n1\nt1 = n1 / t0\nt2 = t1 + 1.0\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "480" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 120 meters long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 120.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "255" + ], + "split": "train" + }, + { + "Input": "8 identical machines , working alone and at their constant rates , take 6 hours to complete a job lot . how long would it take for 5 such machines to perform the same job ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 5.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "9.6" + ], + "split": "train" + }, + { + "Input": "if 20 men can build a water fountain 56 metres long in 42 days , what length of a similar water fountain can be built by 35 men in 3 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 56.0\nn2 = 42.0\nn3 = 35.0\nn4 = 3.0\nt0 = n0 * n2\nt1 = n3 * n4\nt2 = n1 / t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "the amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5 . if they worked a combined total of 80 hours , how many hours did the secretary who worked the longest spend on the project ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 5.0\nn3 = 80.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n3 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a car takes 6 hours to cover a distance of 504 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 504.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * n2\nt1 = t0 / n3\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "56" + ], + "split": "train" + }, + { + "Input": "a person has to make 146 pieces of long bar . he take $ seconds to cut piece . what is total time taken by him to make 146 pieces ?", + "Output Program": [ + "n0 = 146.0\nn1 = 146.0\nt0 = n0 - 1.0\nanswer = t0 * 4.0\nprint(answer)" + ], + "Output Answer": [ + "580" + ], + "split": "train" + }, + { + "Input": "a tank can supply water to a village for 60 days . if a leak at the bottom of the tank drains out 10 liters per day , the supply lasts for 45 days only . for how many days will the supply last if the leak drains out 20 liters per day ?", + "Output Program": [ + "n0 = 60.0\nn1 = 10.0\nn2 = 45.0\nn3 = 20.0\nt0 = n1 * n2\nt1 = n0 - n2\nt2 = t0 / t1\nt3 = n3 + t2\nt4 = n0 * t2\nanswer = t4 / t3\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a train 400 meters long completely crosses a 300 meters long bridge in 45 seconds . what is the speed of the train is ?", + "Output Program": [ + "n0 = 400.0\nn1 = 300.0\nn2 = 45.0\nt0 = n0 + n1\nt1 = n2 / 3600.0\nt2 = t0 / 1000.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "55.99999999999999" + ], + "split": "train" + }, + { + "Input": "if 3 people can do 3 times of a particular work in 3 days , then how many days would it take 8 people to do 8 times of that particular work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 3.0\nn3 = 8.0\nn4 = 8.0\nt0 = n3 / n3\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a is half good a work man as b and together they finish a job in 32 days . in how many days working alone b finish the job ?", + "Output Program": [ + "n0 = 32.0\nt0 = 3.0 / 2.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "machine t takes 2 more hours than machine b to make 20 widgets . if working together , the machines can make 25 widgets in 3 hours , how long will it take machine t to make 40 widgets ?", + "Output Program": [ + "n0 = 2.0\nn1 = 20.0\nn2 = 25.0\nn3 = 3.0\nn4 = 40.0\nt0 = 2.0 * 3.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "45 men working 8 hours per day dig 40 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?", + "Output Program": [ + "n0 = 45.0\nn1 = 8.0\nn2 = 40.0\nn3 = 50.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n3 * t1\nt3 = t2 / n4\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a and b complete a work in 9 days . a alone can do it in 18 days . if both together can do the work in how many days ?", + "Output Program": [ + "n0 = 9.0\nn1 = 18.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "if an object travels 200 feet in 4 seconds , what is the object ' s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 200.0\nn1 = 4.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 / n3\nt1 = 1.0 / 3600.0\nt2 = n1 * t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "34.09090909090909" + ], + "split": "train" + }, + { + "Input": "if a train , travelling at a speed of 360 kmph , crosses a pole in 5 sec , then the length of train is ?", + "Output Program": [ + "n0 = 360.0\nn1 = 5.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "500.03999999999996" + ], + "split": "train" + }, + { + "Input": "a can run 4.5 km distance in 1 min 30 seconds , while b can run this distance in 3 min . by how much distance can a beat b ?", + "Output Program": [ + "n0 = 4.5\nn1 = 1.0\nn2 = 30.0\nn3 = 3.0\nt0 = n1 * 60.0\nt1 = n0 * 1000.0\nt2 = n3 * 60.0\nt3 = n2 + t0\nt4 = t1 / t2\nanswer = t3 * t4\nprint(answer)" + ], + "Output Answer": [ + "2250" + ], + "split": "train" + }, + { + "Input": "a train 200 m long running at 80 kmph crosses a platform in 22 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 200.0\nn1 = 80.0\nn2 = 22.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "288.928" + ], + "split": "train" + }, + { + "Input": "without stoppages , a train travels certain distance with an average speed of 250 km / h , and with stoppages , it covers the same distance with an average speed of 125 km / h . how many minutes per hour the train stops ?", + "Output Program": [ + "n0 = 250.0\nn1 = 125.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a and b go around a circular track of length 1500 m on a cycle at speeds of 36 kmph and 54 kmph . after how much time will they meet for the first time at the starting point ?", + "Output Program": [ + "n0 = 1500.0\nn1 = 36.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n1 * 0.2778\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "299.97600191984645" + ], + "split": "train" + }, + { + "Input": "a train 300 m long takes 9 sec to cross a man walking at 3 kmph in a direction opposite to that of the train . find the speed of the train ?", + "Output Program": [ + "n0 = 300.0\nn1 = 9.0\nn2 = 3.0\nt0 = n0 / n1\nt1 = t0 / 0.2778\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "116.99040076793858" + ], + "split": "train" + }, + { + "Input": "if there are 210 workers in a factory , and on a certain day , 198 were present . calculate the percentage that showed up for work ? ( round to the nearest tenth ) .", + "Output Program": [ + "n0 = 210.0\nn1 = 198.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "94.28571428571428" + ], + "split": "train" + }, + { + "Input": "a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 210 kilometers ?", + "Output Program": [ + "n0 = 40.0\nn1 = 210.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "5.25" + ], + "split": "train" + }, + { + "Input": "how many bricks each measuring 20 cm x 13.25 cm x 8 cm , will be needed to build a wall 7 m x 8 m x 15.5 m", + "Output Program": [ + "n0 = 20.0\nn1 = 13.25\nn2 = 8.0\nn3 = 7.0\nn4 = 8.0\nn5 = 15.5\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = n5 * t0\nt3 = n2 * t1\nt4 = t3 / 100.0\nt5 = t4 / 100.0\nanswer = t2 / t5\nprint(answer)" + ], + "Output Answer": [ + "4094.3396226415093" + ], + "split": "train" + }, + { + "Input": "two trains of equal lengths take 10 sec and 15 sec , respectively , to cross a telegraph post . if the length of each train is 120 m , in what time will they cross each other , travelling in opposite directions ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 120.0\nt0 = n2 + n2\nt1 = n2 / n0\nt2 = n2 / n1\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a constructor estimates that 3 people can paint mr khans house in 4 days . if he uses 4 people instead of 3 , how long will they take to complete the job ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 4.0\nn3 = 3.0\nt0 = n0 * n1\nt1 = 1.0 / t0\nt2 = n1 * t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a man started driving at a constant speed , from the site of a blast , the moment he heard the blast . he heard a second blast after a time of 30 mins and 25 seconds . if the second blast occurred exactly 30 mins after the first , how many meters was he from the site when he heard the second blast ? ( speed of sound = 330 m / s )", + "Output Program": [ + "n0 = 30.0\nn1 = 25.0\nn2 = 30.0\nn3 = 330.0\n\nanswer = n1 * n3\nprint(answer)" + ], + "Output Answer": [ + "8250" + ], + "split": "train" + }, + { + "Input": "a train 250 m long is running at a speed of 68 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?", + "Output Program": [ + "n0 = 250.0\nn1 = 68.0\nn2 = 8.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "14.998800095992321" + ], + "split": "train" + }, + { + "Input": "a motorcyclist started riding at highway marker a , drove 120 miles to highway marker b , and then , without pausing , continued to highway marker c , where she stopped . the average speed of the motorcyclist , over the course of the entire trip , was 20 miles per hour . if the ride from marker a to marker b lasted 3 times as many hours as the rest of the ride , and the distance from marker b to marker c was half of the distance from marker a to marker b , what was the average speed , in miles per hour , of the motorcyclist while driving from marker b to marker c ?", + "Output Program": [ + "n0 = 120.0\nn1 = 20.0\nn2 = 3.0\nt0 = n0 / 2.0\nt1 = n0 + t0\nt2 = t1 / n1\nt3 = t2 / 4.0\nanswer = t3 * t0\nprint(answer)" + ], + "Output Answer": [ + "135" + ], + "split": "train" + }, + { + "Input": "if there are 56 laborers in a crew , and on a certain day , 30 were present . calculate the percentage that showed up for work ? ( round to the nearest tenth ) .", + "Output Program": [ + "n0 = 56.0\nn1 = 30.0\nt0 = n1 * 100.0\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "53.57142857142857" + ], + "split": "train" + }, + { + "Input": "a car gets 60 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 170 kilometers ?", + "Output Program": [ + "n0 = 60.0\nn1 = 170.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "2.8333333333333335" + ], + "split": "train" + }, + { + "Input": "the radius of a circle is 4 / \u03c0 cm then its perimeter is ?", + "Output Program": [ + "n0 = 4.0\nt0 = n0 / 3.141592653589793\nt1 = t0 * 3.141592653589793\nanswer = t1 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 5 cm .", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 5.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "95" + ], + "split": "train" + }, + { + "Input": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 12 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 36.0\nn2 = 12.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "bruce and bhishma are running on a circular track of length 600 m . speed of bruce is 30 m / s and that of bhishma is 20 m / s . they start fro the same point at the same time in the same direction . when will they meet again for the first time ?", + "Output Program": [ + "n0 = 600.0\nn1 = 30.0\nn2 = 20.0\nt0 = n1 - n2\nt1 = n0 / t0\nt2 = t1 / 2.0\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a certain number of workers can do a work in 45 days . if there were 10 workers more it could be finished in 10 days less . how many workers are there ?", + "Output Program": [ + "n0 = 45.0\nn1 = 10.0\nn2 = 10.0\nt0 = n0 - n1\nt1 = n1 * t0\nt2 = n0 - t0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "a train 110 m long is running with a speed of 40 km / h . in how many seconds will the train pass a man who is running at 4 km / h in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 40.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = t0 / 3.6\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "convert the 11 / 36 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 11.0\nn1 = 36.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "1.1" + ], + "split": "train" + }, + { + "Input": "a works twice as fast as b . if b can complete a work in 12 days independently , the number of days in which a and b can together finish the work is :", + "Output Program": [ + "n0 = 12.0\nt0 = 1.0 / n0\nt1 = t0 * 2.0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a tank with a volume of 20 cubic feet has one inlet pipe and 2 outlet pipes . the inlet pipe fills water into the tank at the rate of 5 cubic inches / min and the 2 outlet pipes empty it out at the rates of 9 cubic inches / min and 8 cubic inches / min respectively . if all 3 pipes are opened when the tank is full , how many minutes does it take to empty the tank ? ( 1 foot = 12 inches )", + "Output Program": [ + "n0 = 20.0\nn1 = 2.0\nn2 = 5.0\nn3 = 2.0\nn4 = 9.0\nn5 = 8.0\nn6 = 3.0\nn7 = 1.0\nn8 = 12.0\nt0 = n4 + n5\nt1 = n8**min(n6, 5)\nt2 = n0 * t1\nt3 = t0 - n2\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "2880" + ], + "split": "train" + }, + { + "Input": "an electric pump can fill a tank in 6 hours . because of a leak in the tank , it took 12 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ?", + "Output Program": [ + "n0 = 6.0\nn1 = 12.0\n\nanswer = n1 / 1.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "in a games hour 4 different types of players came to the ground ? cricket 10 , hokey 12 , football 16 , softball 13 . how many players are present in the ground ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nn2 = 12.0\nn3 = 16.0\nn4 = 13.0\nt0 = n1 + n2\nt1 = n3 + n4\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "51" + ], + "split": "train" + }, + { + "Input": "sandy leaves her home and walks toward ed ' s house . two hours later , ed leaves his home and walks toward sandy ' s house . the distance between their homes is 52 kilometers , sandy ' s walking speed is 6 km / h , and ed ' s walking speed is 4 km / h . how many kilometers will sandy walk before she meets ed ?", + "Output Program": [ + "n0 = 52.0\nn1 = 6.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = n1 * 2.0\nt2 = n0 - t1\nt3 = t2 / t0\nt4 = n1 * t3\nanswer = t4 + t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "two bullet train s 140 m and 190 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time ( in seconds ) which they take to cross each other , is :", + "Output Program": [ + "n0 = 140.0\nn1 = 190.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.879049676025918" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 25 kmph and downstream at 35 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 25.0\nn1 = 35.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 19 seconds . what is the length of the platform in meters ?", + "Output Program": [ + "n0 = 72.0\nn1 = 30.0\nn2 = 19.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nt2 = n1 * t1\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" + ], + "Output Answer": [ + "220" + ], + "split": "train" + }, + { + "Input": "the angle of elevation of a ladder leaning against a wall is 60 \u00b0 and the foot of the ladder is 4.6 m away from the wall . the length of the ladder is", + "Output Program": [ + "n0 = 60.0\nn1 = 4.6\n\nanswer = n1 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "9.2" + ], + "split": "train" + }, + { + "Input": "a train leaves delhi at 9 a . m . at a speed of 30 kmph . another train leaves at 3 p . m . at a speed of 40 kmph on the same day and in the same direction . how far from delhi , will the two trains meet ?", + "Output Program": [ + "n0 = 9.0\nn1 = 30.0\nn2 = 3.0\nn3 = 40.0\nt0 = n2 + 3.0\nt1 = n3 - n1\nt2 = n1 * t0\nt3 = t2 / t1\nanswer = n3 * t3\nprint(answer)" + ], + "Output Answer": [ + "720" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 26 m at the rate of rs . 1.50 a meter ?", + "Output Program": [ + "import math\nn0 = 26.0\nn1 = 1.5\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "122.52211349000194" + ], + "split": "train" + }, + { + "Input": "a can give b a start of 50 metres or 10 seconds in a kilometer race . how long does a take to complete the race ?", + "Output Program": [ + "n0 = 50.0\nn1 = 10.0\nt0 = n1 / n0\nt1 = t0 * 1000.0\nanswer = t1 - n1\nprint(answer)" + ], + "Output Answer": [ + "190" + ], + "split": "train" + }, + { + "Input": "the average temperature for tuesday , wednesday and thursday was 52 \u00b0 c . the average temperature for wednesday , thursday and friday was 54 \u00b0 c . if the temperature on friday be 53 \u00b0 c , what was the temperature on tuesday ?", + "Output Program": [ + "n0 = 52.0\nn1 = 54.0\nn2 = 53.0\nt0 = n0 * 3.0\nt1 = n1 * 3.0\nt2 = t1 - n2\nanswer = t0 - t2\nprint(answer)" + ], + "Output Answer": [ + "47" + ], + "split": "train" + }, + { + "Input": "a car traveled 75 % of the way from town a to town b at an average speed of 50 miles per hour . the car travels at an average speed of s miles per hour for the remaining part of the trip . the average speed for the entire trip was 50 miles per hour . what is s ?", + "Output Program": [ + "n0 = 75.0\nn1 = 50.0\nn2 = 50.0\nt0 = n1 + n2\nt1 = n0 / n1\nt2 = t0 / n2\nt3 = t0 - n0\nt4 = t2 - t1\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "a 60 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?", + "Output Program": [ + "n0 = 60.0\nn1 = 2.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "17.14285714285714" + ], + "split": "train" + }, + { + "Input": "if two projectiles are launched at the same moment from 1455 km apart and travel directly towards each other at 470 km per hour and 500 km per hour respectively , how many minutes will it take for them to meet ?", + "Output Program": [ + "n0 = 1455.0\nn1 = 470.0\nn2 = 500.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a man can do a job in 10 days . his father takes 20 days and his son finishes it in 25 days . how long will they take to complete the job if they all work together ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 25.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "5.263157894736842" + ], + "split": "train" + }, + { + "Input": "a train 2500 m long can cross an electric pole in 50 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 2500.0\nn1 = 50.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "some persons can do a piece of work in 12 days . two times the number of such persons will do half of that work in", + "Output Program": [ + "n0 = 12.0\nt0 = 1.0 / 2.0\nt1 = n0 * t0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 192 , how many hours overtime did he work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 40.0\nn2 = 192.0\nt0 = n0 * n1\nt1 = n0 * 2.0\nt2 = n2 - t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a train travels 210 km in 3 hours and 270 km in 4 hours . find the average speed of train .", + "Output Program": [ + "n0 = 210.0\nn1 = 3.0\nn2 = 270.0\nn3 = 4.0\nt0 = n0 + n2\nt1 = n1 + n3\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "68.57142857142857" + ], + "split": "train" + }, + { + "Input": "nicky and cristina are running a 400 meter race . since cristina is faster than nicky , she gives him a 12 second head start . if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ?", + "Output Program": [ + "n0 = 400.0\nn1 = 12.0\nn2 = 5.0\nn3 = 3.0\nt0 = n1 * n3\nt1 = n2 - n3\nt2 = t0 / n3\nt3 = t0 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "danny and steve are running towards each other , each one from his own house . danny can reach steve ' s house in 35 minutes of running , which is half the time it takes steve to reach danny ' s house . if the two started to run at the same time , how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?", + "Output Program": [ + "n0 = 35.0\n\nanswer = n0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "17.5" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 60 meters or 10 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 60.0\nn1 = 10.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "156.66666666666666" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 120 metres ?", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 120.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "23.998080153587715" + ], + "split": "train" + }, + { + "Input": "when a train moves at an average speed of 100 kmph it reaches its destination on time . when its average speed becomes 80 kmph , then it reaches its destination 20 minutes late . find the length of journey rounded to two decimal places .", + "Output Program": [ + "n0 = 100.0\nn1 = 80.0\nn2 = 20.0\nt0 = n2 / 60.0\nt1 = n0 * n1\nt2 = n0 - n1\nt3 = t2 / t1\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "133.33333333333331" + ], + "split": "train" + }, + { + "Input": "a certain bacteria colony doubles in size every day for 20 days , at which point it reaches the limit of its habitat and can no longer grow . if two bacteria colonies start growing simultaneously , how many days will it take them to reach the habitat \u2019 s limit ?", + "Output Program": [ + "n0 = 20.0\nt0 = n0 / n0\nanswer = n0 - t0\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "a copy machine , working at a constant rate , makes 30 copies per minute . a second copy machine , working at a constant rate , makes 55 copies per minute . working together at their respective rates , how many copies do the two machines make in half an hour ?", + "Output Program": [ + "n0 = 30.0\nn1 = 55.0\nt0 = n0 + n1\nt1 = t0 * 60.0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2550" + ], + "split": "train" + }, + { + "Input": "if a car had traveled 30 kmh faster than it actually did , the trip would have lasted 30 minutes less . if the car went exactly 90 km , at what speed did it travel ?", + "Output Program": [ + "import math\nn0 = 30.0\nn1 = 30.0\nn2 = 90.0\nt0 = n0 * n2\nt1 = n0**min(2.0, 5)\nt2 = t0 * 2.0\nt3 = t2 * 4.0\nt4 = t3 + t1\nt5 = math.sqrt(max(0, t4))\nt6 = t5 - n0\nanswer = t6 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , while a and c together can do it in 3 hours . how long will b alone take to do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nn2 = 3.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "two thirds of the roads from a to b are at least 5 miles long , and 1 / 2 of the roads from b to c are at least 5 miles long . if you randomly pick a road from a to b and then randomly pick a road from b to c , what is the probability that at least one of the roads you pick is at least 5 miles long ?", + "Output Program": [ + "n0 = 5.0\nn1 = 1.0\nn2 = 2.0\nn3 = 5.0\nn4 = 5.0\nt0 = 2.0 / 3.0\nt1 = n1 / n2\nt2 = 1.0 - t0\nt3 = 1.0 - t1\nt4 = t2 * t3\nanswer = 1.0 - t4\nprint(answer)" + ], + "Output Answer": [ + "0.8333333333333333" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 40 kmph and including stoppages , it is 30 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 40.0\nn1 = 30.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 54 \u00b0 of the circle , what percentage of megatek employees are in manufacturing ?", + "Output Program": [ + "n0 = 54.0\nt0 = 3600.0 / 10.0\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "nicky and cristina are running a 100 meter race . since cristina is faster than nicky , she gives him a 12 second head start . if cristina runs at a pace of 5 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ?", + "Output Program": [ + "n0 = 100.0\nn1 = 12.0\nn2 = 5.0\nn3 = 3.0\nt0 = n1 * n3\nt1 = n2 - n3\nt2 = t0 / n3\nt3 = t0 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 51 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 51.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "550.0000000000001" + ], + "split": "train" + }, + { + "Input": "find avrg speed if a man travels at speed of 32 km / hr up and 48 km / hr dawn at an altitude of 230 m .", + "Output Program": [ + "n0 = 32.0\nn1 = 48.0\nn2 = 230.0\nt0 = n0 + n1\nt1 = n0 * 2.0\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "38.4" + ], + "split": "train" + }, + { + "Input": "a 300 meter long train crosses a platform in 54 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 54.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "600.0000000000001" + ], + "split": "train" + }, + { + "Input": "a cistern 6 m long and 5 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :", + "Output Program": [ + "n0 = 6.0\nn1 = 5.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "57.5" + ], + "split": "train" + }, + { + "Input": "a train 1600 m long can cross a pole in 40 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 1600.0\nn1 = 40.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "144" + ], + "split": "train" + }, + { + "Input": "if 36 men can do a piece of work in 25 hours , in how many hours will 15 men do it ?", + "Output Program": [ + "n0 = 36.0\nn1 = 25.0\nn2 = 15.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "if 50 honey bees make 50 grams of honey in 50 days , then 1 honey bee will make 1 gram of honey in how many days ?", + "Output Program": [ + "n0 = 50.0\nn1 = 50.0\nn2 = 50.0\nn3 = 1.0\nn4 = 1.0\nt0 = n3 / n0\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "69 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 69.0\nn1 = 12.0\nn2 = 5.0\nn3 = 30.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "23" + ], + "split": "train" + }, + { + "Input": "if an object travels 80 feet in 2 seconds , what is the object \u2019 s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 80.0\nn1 = 2.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 / n3\nt1 = n2 / 3600.0\nt2 = n1 * t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "27.272727272727273" + ], + "split": "train" + }, + { + "Input": "a certain bacteria colony doubles in size every day for 22 days , at which point it reaches the limit of its habitat and can no longer grow . if two bacteria colonies start growing simultaneously , how many days will it take them to reach the habitat \u2019 s limit ?", + "Output Program": [ + "n0 = 22.0\nt0 = n0 / n0\nanswer = n0 - t0\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 50 meters or 20 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 50.0\nn1 = 20.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "380" + ], + "split": "train" + }, + { + "Input": "if i walk at 5 km / h , i miss the bus by 12 minutes . if i walk at 6 km / h , i reach 15 minutes before the arrival of the bus . how far i walk to reach the bus stand ?", + "Output Program": [ + "n0 = 5.0\nn1 = 12.0\nn2 = 6.0\nn3 = 15.0\nt0 = n1 + n3\nt1 = n0 * n2\nt2 = n2 - n0\nt3 = t1 / t2\nt4 = t0 / 60.0\nanswer = t3 * t4\nprint(answer)" + ], + "Output Answer": [ + "13.5" + ], + "split": "train" + }, + { + "Input": "two trains are moving in opposite direction @ 60 kmph and 90 kmph . their lengths are 1.10 km and 0.9 km respectively . the time taken by the slower train to cross the faster train in seconds is", + "Output Program": [ + "n0 = 60.0\nn1 = 90.0\nn2 = 1.1\nn3 = 0.9\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = 1000.0 / 3600.0\nt3 = t0 * t2\nt4 = t1 * 1000.0\nt5 = 1 / t3\nanswer = t5 * t4\nprint(answer)" + ], + "Output Answer": [ + "47.99999999999999" + ], + "split": "train" + }, + { + "Input": "a contractor undertook to do a piece of work in 10 days . he employed certain number of laboures but 5 of them were absent from the very first day and the rest could finish the work in only 13 days . find the number of men originally employed ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nn2 = 13.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "21.666666666666668" + ], + "split": "train" + }, + { + "Input": "express a speed of 70 kmph in meters per second ?", + "Output Program": [ + "n0 = 70.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "19.445999999999998" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 126 km / hr crosses a pole in 9 seconds . find the length of the train .", + "Output Program": [ + "n0 = 126.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "315" + ], + "split": "train" + }, + { + "Input": "a farmer planned to plough a field by doing 120 hectares a day . after two days of work he increased his daily productivity by 25 % and he finished the job two days ahead of schedule . a ) what is the area of the field ? b ) in how many days did the farmer get the job done ? c ) in how many days did the farmer plan to get the job done ?", + "Output Program": [ + "n0 = 120.0\nn1 = 25.0\nt0 = n0 * 2.0\nt1 = n0 * n1\nt2 = 2.0 * 4.0\nt3 = t1 / 100.0\nt4 = n0 + t3\nt5 = t4 * t2\nanswer = t0 + t5\nprint(answer)" + ], + "Output Answer": [ + "1440" + ], + "split": "train" + }, + { + "Input": "12 men complete a work in 9 days . after they have worked for 6 days , 6 more men join them . how many days will they take to complete the remaining work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 9.0\nn2 = 6.0\nn3 = 6.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n0 * n2\nt3 = t1 - t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "if 5 machines can produce 20 units in 10 hours , how long would it take 20 machines to produce 200 units ?", + "Output Program": [ + "n0 = 5.0\nn1 = 20.0\nn2 = 10.0\nn3 = 20.0\nn4 = 200.0\nt0 = n1 / n2\nt1 = t0 / n0\nt2 = n1 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "calculate how many days it will take for 5 boys to paint a 65 m long wall if 2 boys can paint a 40 m long wall in 4 days ,", + "Output Program": [ + "n0 = 5.0\nn1 = 65.0\nn2 = 2.0\nn3 = 40.0\nn4 = 4.0\nt0 = n2 * n4\nt1 = n0 * n3\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "2.6" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 32 minutes . pipe b can fill the same tank 5 times faster than pipe a . if both the pipes are connected to the tank so that they fill the tank simultaneously , how long will it take for the empty tank to overflow ?", + "Output Program": [ + "n0 = 32.0\nn1 = 5.0\nt0 = 1.0 / n0\nt1 = n1 / n0\nt2 = t0 + t1\nt3 = t2 + t0\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "4.571428571428571" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 3 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 3.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "in one hour , a boat goes 11 km along the stream and 5 km against it . find the speed of the boat in still water", + "Output Program": [ + "n0 = 11.0\nn1 = 5.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "how long does a train 145 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length ?", + "Output Program": [ + "n0 = 145.0\nn1 = 54.0\nn2 = 660.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "53.66237367677253" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 22 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 54 km downstream", + "Output Program": [ + "n0 = 22.0\nn1 = 5.0\nn2 = 54.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long running at the speed of 90 km / hr takes to cross a bridge 132 m length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 90.0\nn2 = 132.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "9.679225661947045" + ], + "split": "train" + }, + { + "Input": "it takes avery 3 hours to build a brick wall while tom can do it in 5 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?", + "Output Program": [ + "n0 = 3.0\nn1 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1.0 - t2\nt4 = t3 / t1\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "139.99999999999997" + ], + "split": "train" + }, + { + "Input": "a flagpole 18 meters high casts a shadow of length 45 meters . if a building under similar conditions casts a shadow of length 65 meters , what is the height of the building ( in meters ) ?", + "Output Program": [ + "n0 = 18.0\nn1 = 45.0\nn2 = 65.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "if 36 men can do a piece of work in 25 hours , in how many hours will 12 men do it ?", + "Output Program": [ + "n0 = 36.0\nn1 = 25.0\nn2 = 12.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "walking at 5 / 6 th of its usual speed a cab is 12 mnts late . find its usual time to cover the journey ?", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 12.0\n\nanswer = n0 * n2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a company produces 60000 bottles of water everyday . if a case can hold 5 bottles of water . how many cases are required by the company to hold its one day production", + "Output Program": [ + "n0 = 60000.0\nn1 = 5.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "12000" + ], + "split": "train" + }, + { + "Input": "a hiker walking at a constant rate of 5 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 25 kilometers per hour . the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate . how many minutes must the cyclist wait until the hiker catches up ?", + "Output Program": [ + "n0 = 5.0\nn1 = 25.0\nn2 = 5.0\nt0 = n2 / 60.0\nt1 = n1 * t0\nt2 = n0 * t0\nt3 = t1 - t2\nt4 = t3 / n0\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "each employee of company x is a member of precisely 1 of 3 shifts of employees . among the 60 members of the first shift , 20 percent participate in the pension program ; among the 50 members of the second shift , 40 percent participate in the pension program ; and among the 40 members of the third shift , 10 percent participate in the pension program . what percent of the workers at company x participate in the pension program ?", + "Output Program": [ + "n0 = 1.0\nn1 = 3.0\nn2 = 60.0\nn3 = 20.0\nn4 = 50.0\nn5 = 40.0\nn6 = 40.0\nn7 = 10.0\nt0 = n2 + n4\nt1 = n3 / 100.0\nt2 = n5 / 100.0\nt3 = n7 / 100.0\nt4 = n5 + t0\nt5 = n2 * t1\nt6 = n4 * t2\nt7 = n5 * t3\nt8 = t5 + t6\nt9 = t8 + t7\nt10 = t9 / t4\nanswer = t10 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a driver goes on a trip of 50 kilometers , the first 25 kilometers at 66 kilometers per hour and the remaining distance at 33 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ?", + "Output Program": [ + "n0 = 50.0\nn1 = 25.0\nn2 = 66.0\nn3 = 33.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 / n3\nt3 = t0 + t2\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "44.00000000000001" + ], + "split": "train" + }, + { + "Input": "while driving from a - ville to b - town , harriet drove at a constant speed of 100 kilometers per hour . upon arriving in b - town , harriet immediately turned and drove back to a - ville at a constant speed of 150 kilometers per hour . if the entire trip took 5 hours , how many minutes did it take harriet to drive from a - ville to b - town ?", + "Output Program": [ + "n0 = 100.0\nn1 = 150.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = n0 * n2\nt2 = t1 / t0\nt3 = n2 - t2\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "at a speed of 50 miles per hour , a certain car uses 1 gallon of gasoline every 30 miles . if the car starts with a full 15 gallon tank of gasoline and travels for 5 hours at 50 miles per hour , the amount of gasoline used would be what fraction of a full tank ?", + "Output Program": [ + "n0 = 50.0\nn1 = 1.0\nn2 = 30.0\nn3 = 15.0\nn4 = 5.0\nn5 = 50.0\nt0 = n0 * n4\nt1 = t0 / n2\nanswer = t1 / n3\nprint(answer)" + ], + "Output Answer": [ + "0.5555555555555556" + ], + "split": "train" + }, + { + "Input": "eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 4 hours to complete the journey . if the distance between city a and city b is 600 kms and city a and city c is 360 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 600.0\nn3 = 360.0\nt0 = n2 / n0\nt1 = n3 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "2.2222222222222223" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 5454 kmph and including stoppages , it is 4545 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 5454.0\nn1 = 4545.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "an electric pump can fill a tank in 7 hours . because of a leak in the tank , it took 14 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ?", + "Output Program": [ + "n0 = 7.0\nn1 = 14.0\n\nanswer = n1 / 1.0\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "train" + }, + { + "Input": "there is a train and car . the ratio btw the speed of a train & a car is 16 : 15 respectively . also , a bus covered a distance of 480 km in 8 h . the speed of the bus is 3 / 4 th of the speed of the train . how much distance will the car cover in 6 h ?", + "Output Program": [ + "n0 = 16.0\nn1 = 15.0\nn2 = 480.0\nn3 = 8.0\nn4 = 3.0\nn5 = 4.0\nn6 = 6.0\nt0 = n2 / n3\nt1 = n5 * t0\nt2 = t1 / n4\nt3 = n1 * t2\nt4 = t3 / n0\nanswer = n6 * t4\nprint(answer)" + ], + "Output Answer": [ + "450" + ], + "split": "train" + }, + { + "Input": "two trains of length 100 meters and 200 meters are 840 meters apart . they are moving towards each other on parallel tracks , at speeds of 54 km / h and 72 km / h . after how many seconds will the trains meet ?", + "Output Program": [ + "n0 = 100.0\nn1 = 200.0\nn2 = 840.0\nn3 = 54.0\nn4 = 72.0\nt0 = n3 + n4\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "23.99808015358771" + ], + "split": "train" + }, + { + "Input": "a 160 meter long train crosses a man standing on the platform in 16 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 160.0\nn1 = 16.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a boat takes 19 hours for travelling downstream from point a to point b and coming back to a point c midway between a and b . if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph , what is the distance between a and b ?", + "Output Program": [ + "n0 = 19.0\nn1 = 4.0\nn2 = 14.0\nt0 = n1 + n2\nt1 = n2 - n1\nt2 = 1.0 / t0\nt3 = t1 * 2.0\nt4 = 1.0 / t3\nt5 = t2 + t4\nanswer = n0 / t5\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "a train 350 m long is running at a speed of 68 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?", + "Output Program": [ + "n0 = 350.0\nn1 = 68.0\nn2 = 8.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "20.99832013438925" + ], + "split": "train" + }, + { + "Input": "the distance from city a to city b is 180 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ?", + "Output Program": [ + "n0 = 180.0\nn1 = 40.0\nn2 = 30.0\nt0 = n0 / n1\nt1 = n2 / 60.0\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "how many revolutions will a circular wheel make to travel a distance of 3 km , given that the radius is 2.4 m ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.4\nt0 = 3.0 + 4.0\nt1 = 10.0 * 2.0\nt2 = 1000.0 * 3.0\nt3 = t1 + 2.0\nt4 = t3 / t0\nt5 = t4 * 2.0\nt6 = n1 * t5\nt7 = t6 * 1000.0\nt8 = t7 - t2\nanswer = t8 - 1000.0\nprint(answer)" + ], + "Output Answer": [ + "11085.714285714286" + ], + "split": "train" + }, + { + "Input": "express a speed of 36 kmph in meters per second ?", + "Output Program": [ + "n0 = 36.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "10.0008" + ], + "split": "train" + }, + { + "Input": "if daily wages of a man is double to that of a woman , how many men should work for 10 days to earn rs . 14400 ? given that wages for 40 women for 30 days are rs . 21600 .", + "Output Program": [ + "n0 = 10.0\nn1 = 14400.0\nn2 = 40.0\nn3 = 30.0\nn4 = 21600.0\nt0 = n2 * n3\nt1 = n4 / t0\nt2 = t1 * 2.0\nt3 = n0 * t2\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a can run 3 kms in 3 min 18 sec and b can run same distance in 3 min 40 sec , then by how much distance a can beat b ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 18.0\nn3 = 3.0\nn4 = 40.0\nt0 = n0 * 1000.0\nt1 = n0 * 60.0\nt2 = n4 + t1\nt3 = n2 + t1\nt4 = t2 - t3\nt5 = t0 * t4\nanswer = t5 / t2\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "22 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be :", + "Output Program": [ + "n0 = 22.0\nn1 = 1.0\nt0 = n1 / 2.0\nt1 = t0**min(2.0, 5)\nt2 = t1 * 3.141592653589793\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "28.01126998417358" + ], + "split": "train" + }, + { + "Input": "two cyclists are moving towards each other at 10 miles / hour . they are now 50 miles apart . at this instance a fly starts from one cyclist and move towards other and moves to and fro till the two cyclist meet each other . if the fly is moving at 15 miles / hour , what is the total distance covered by the fly ?", + "Output Program": [ + "n0 = 10.0\nn1 = 50.0\nn2 = 15.0\nt0 = n1 / 2.0\nt1 = t0 / n0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "37.5" + ], + "split": "train" + }, + { + "Input": "when a train travels at a speed of 100 kmph , it reaches the destination on time . when the same train travels at a speed of 50 kmph , it reaches its destination 15 min late . what is the length of journey ?", + "Output Program": [ + "n0 = 100.0\nn1 = 50.0\nn2 = 15.0\nt0 = n2 / 60.0\nt1 = n1 * t0\nt2 = t1 / n1\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 3 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 3.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "it takes avery 4 hours to build a brick wall while tom can do it in 2 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1.0 - t2\nt4 = t3 / t1\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 4 seconds . the length of the faster train is", + "Output Program": [ + "n0 = 36.0\nn1 = 45.0\nn2 = 4.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "90.0072" + ], + "split": "train" + }, + { + "Input": "a train is 360 meter long is running at a speed of 60 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 360.0\nn1 = 60.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "29.999999999999996" + ], + "split": "train" + }, + { + "Input": "how many paying stones , each measuring 3 m * 2 m are required to pave a rectangular court yard 60 m long and 14 m board ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 60.0\nn3 = 14.0\nt0 = n2 * n3 # area of rectangle\nt1 = n0 * n1 # area of rectangle\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "140" + ], + "split": "train" + }, + { + "Input": "a can give b 80 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 80.0\nn1 = 200.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "130.43478260869563" + ], + "split": "train" + }, + { + "Input": "nhai employs 100 men to build a highway of 2 km in 50 days working 8 hours a day . if in 25 days they completed 1 / 3 part of work . than how many more emploies should nhai hire to finish it in time working 10 hours a day", + "Output Program": [ + "n0 = 100.0\nn1 = 2.0\nn2 = 50.0\nn3 = 8.0\nn4 = 25.0\nn5 = 1.0\nn6 = 3.0\nn7 = 10.0\nt0 = n0 * n4\nt1 = n4 * n7\nt2 = n3 * t0\nt3 = n1 * t2\nt4 = t3 / t1\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "the speed of a car increases by 2 kms after every one hour . if the distance travelling in the first one hour was 40 kms . what was the total distance traveled in 12 hours ?", + "Output Program": [ + "n0 = 2.0\nn1 = 40.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = n0 * n1\nt2 = n2 - 1.0\nt3 = n0 * t2\nt4 = t1 + t3\nanswer = t4 * t0\nprint(answer)" + ], + "Output Answer": [ + "612" + ], + "split": "train" + }, + { + "Input": "if the perimeter of a rectangular garden is 480 m , its length when its breadth is 100 m is ?", + "Output Program": [ + "n0 = 480.0\nn1 = 100.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "140" + ], + "split": "train" + }, + { + "Input": "a train passes a platform in 16 seconds . the same train passes a man standing on the platform in 10 seconds . if the speed of the train is 54 km / hr , the length of the platform is", + "Output Program": [ + "n0 = 16.0\nn1 = 10.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "90.0072" + ], + "split": "train" + }, + { + "Input": "a train is 410 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 410.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "if a is thrice as fast as b and together can do a work in 30 days . in how many days a alone can do the work ?", + "Output Program": [ + "n0 = 30.0\nt0 = n0 * 4.0\nt1 = 3.0 / t0\nanswer = 1 / t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "angelina walked 200 meters from her home to the grocery at a constant speed . she then walked 300 meters to the gym at double the speed . she spent 50 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ?", + "Output Program": [ + "n0 = 200.0\nn1 = 300.0\nn2 = 50.0\nt0 = n1 / 2.0\nt1 = n0 - t0\nt2 = t1 / n2\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "15 men take 21 days of 8 hrs . each to do a piece of work . how many days of 2 hrs . each would it take for 21 women if 3 women do as much work as 2 men ?", + "Output Program": [ + "n0 = 15.0\nn1 = 21.0\nn2 = 8.0\nn3 = 2.0\nn4 = 21.0\nn5 = 3.0\nn6 = 2.0\nt0 = n6 / n5\nt1 = n0 * n1\nt2 = n1 * n3\nt3 = n2 * t1\nt4 = t0 * t2\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "how many seconds will a train 100 meters long take to cross a bridge 250 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 250.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "34.997200223982084" + ], + "split": "train" + }, + { + "Input": "two trains of length 100 m and 160 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 100.0\nn1 = 160.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "12.998960083193344" + ], + "split": "train" + }, + { + "Input": "pipe a fills a tank in 30 minutes . pipe b can fill the same tank 5 times as fast as pipe a . if both the pipes were kept open when the tank is empty , how much time will it take for the tank to overflow ?", + "Output Program": [ + "n0 = 30.0\nn1 = 5.0\nt0 = 1.0 / n0\nt1 = n1 / n0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "x is 3 times as fast as y and working together , they can complete a work in 20 days . in how many days can y alone complete the work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 20.0\nt0 = n0 + 1.0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "jane makes toy bears . when she works with an assistant , she makes 80 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane \u2019 s output of toy bears per hour by what percent ?", + "Output Program": [ + "n0 = 80.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = t0 - n1\nt2 = n1 / t1\nanswer = t2 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 50 km in the first hour and 60 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 50.0\nn1 = 60.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "train" + }, + { + "Input": "the top and bottom of a tower were seen to be at angles of depression 30 \u00b0 and 60 \u00b0 from the top of a hill of height 100 m . find the height of the tower", + "Output Program": [ + "n0 = 30.0\nn1 = 60.0\nn2 = 100.0\nt0 = 0.33 * 100.0\nanswer = n2 - t0\nprint(answer)" + ], + "Output Answer": [ + "67" + ], + "split": "train" + }, + { + "Input": "jim drove 768 miles of a 1200 miles journey . how many more miles does he need to drive to finish his journey ?", + "Output Program": [ + "n0 = 768.0\nn1 = 1200.0\n\nanswer = n1 - n0\nprint(answer)" + ], + "Output Answer": [ + "432" + ], + "split": "train" + }, + { + "Input": "the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 162 \u00b0 of the circle , what percentage of megatek employees are in manufacturing ?", + "Output Program": [ + "n0 = 162.0\nt0 = 3600.0 / 10.0\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "on a map the distance between two mountains is 312 inches . the actual distance between the mountains is 136 km . ram is camped at a location that on the map is 42 inch from the base of the mountain . how many km is he from the base of the mountain ?", + "Output Program": [ + "n0 = 312.0\nn1 = 136.0\nn2 = 42.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "18.307692307692307" + ], + "split": "train" + }, + { + "Input": "a man swims downstream 45 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 45.0\nn1 = 18.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "10.5" + ], + "split": "train" + }, + { + "Input": "a train of 24 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 4.5 km long ?", + "Output Program": [ + "n0 = 24.0\nn1 = 60.0\nn2 = 60.0\nn3 = 60.0\nn4 = 4.5\nt0 = n0 + 1.0\nt1 = n1 * t0\nt2 = t1 / 1000.0\nanswer = n4 + t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 12 kmph . what is the speed of the stream if the boat can cover 32 km downstream or 16 km upstream in the same time ?", + "Output Program": [ + "n0 = 12.0\nn1 = 32.0\nn2 = 16.0\nt0 = 1.0 + 2.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a birthday child reaches into a bag filled with toys ( 1 yo - yo , 1 ball , 1 whistle , and 1 box crayons ) . if the child randomly picks 3 toys , what is the probability the child will pick the yo - yo and a ball as two of the 3 toys ?", + "Output Program": [ + "n0 = 1.0\nn1 = 1.0\nn2 = 1.0\nn3 = 1.0\nn4 = 3.0\nn5 = 3.0\n\nanswer = n0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "train" + }, + { + "Input": "suppose you work for a manufacturing plant that pays you $ 12.50 an hour plus $ 0.16 for each widget you make . how many widgets must you produce in a 40 hour week to earn $ 580 ( before payroll deductions ) ?", + "Output Program": [ + "n0 = 12.5\nn1 = 0.16\nn2 = 40.0\nn3 = 580.0\nt0 = n0 * n2\nt1 = n3 - t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "in what time will a train 90 meters long cross an electric pole , if its speed is 124 km / hr", + "Output Program": [ + "n0 = 90.0\nn1 = 124.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.61269421026963" + ], + "split": "train" + }, + { + "Input": "a train 441 m long can cross an electric pole in 21 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 441.0\nn1 = 21.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "75.6" + ], + "split": "train" + }, + { + "Input": "a can run 4 times as fast as b and gives b a start of 75 m . how long should the race course be so that a and b might reach in the same time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 75.0\nt0 = n1 / n0\nt1 = n0 - 1.0\nt2 = t0 / t1\nt3 = n0 * t2\nanswer = n1 + t3\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "if two projectiles are launched at the same moment from 1998 km apart and travel directly towards each other at 444 km per hour and 555 km per hour respectively , how many minutes will it take for them to meet ?", + "Output Program": [ + "n0 = 1998.0\nn1 = 444.0\nn2 = 555.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 29 metre of cloth ?", + "Output Program": [ + "n0 = 0.128\nn1 = 29.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "226.5625" + ], + "split": "train" + }, + { + "Input": "an outlet pipe can empty 2 / 3 of a cistern in 16 minutes . in 8 minutes , what part of the cistern will be emptied ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 16.0\nn3 = 8.0\nt0 = n0 / n1\nt1 = n3 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "0.3333333333333333" + ], + "split": "train" + }, + { + "Input": "during a car trip , maria stopped to rest after she traveled 1 / 2 of the total distance to her destination . she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination , and then she drove the remaining 210 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 1.0\nn3 = 4.0\nn4 = 210.0\nt0 = n0 / n1\nt1 = n0 / n3\nt2 = t0 * t1\nt3 = t0 + t2\nt4 = n0 - t3\nanswer = n4 / t4\nprint(answer)" + ], + "Output Answer": [ + "560" + ], + "split": "train" + }, + { + "Input": "a train 1000 m long can cross an electric pole in 200 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 200.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a goods train runs at a speed of 72 kmph and crosses a 280 m long platform in 26 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 280.0\nn2 = 26.0\nt0 = n0 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n1\nprint(answer)" + ], + "Output Answer": [ + "240.04160000000002" + ], + "split": "train" + }, + { + "Input": "a boat goes 130 km downstream in 10 hours , and 75 km upstream in 15 hours . the speed of the stream is ?", + "Output Program": [ + "n0 = 130.0\nn1 = 10.0\nn2 = 75.0\nn3 = 15.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "the cross - section of a river bank is a trapezium in shape . if the river bank is 12 m wide at the top and 8 m wide at the bottom and the area of cross - section is 500 sq m , the depth of river bank is ?", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 500.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "x can do a piece of work in 20 days . he works at it for 10 days and then y finished it in 12 days . how long will y take to complete the work ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 12.0\nt0 = n1 / n0\nt1 = 1.0 - t0\nt2 = 1 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 27 kmph and downstream at 35 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 27.0\nn1 = 35.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "31" + ], + "split": "train" + }, + { + "Input": "ram , who is half as efficient as krish , will take 36 days to complete a task if he worked alone . if ram and krish worked together , how long will they take to complete the task ?", + "Output Program": [ + "n0 = 36.0\nt0 = 1.0 / n0\nt1 = n0 / 2.0\nt2 = 1.0 / t1\nt3 = t0 + t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a pipe can fill a cistern in 33 minutes . find the time in which 1 / 11 part of the cistern will be filled ?", + "Output Program": [ + "n0 = 33.0\nn1 = 1.0\nn2 = 11.0\nt0 = n1 / n2\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "x can do a piece of work in 40 days . he works at it for 8 days and then y finished it in 36 days . how long will y take to complete the work ?", + "Output Program": [ + "n0 = 40.0\nn1 = 8.0\nn2 = 36.0\nt0 = n1 / n0\nt1 = 1.0 - t0\nt2 = 1 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "bird is flying 120 km / hr between b to r . two trains at b to r at 60 kmph . the distance traveled by the bird before it is killed ?", + "Output Program": [ + "n0 = 120.0\nn1 = 60.0\nt0 = n1 + n1\nt1 = n0 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "in a 600 m race , the ratio of the speeds of two contestants a and b is 5 : 4 . a has a start of 100 m . then , a wins by :", + "Output Program": [ + "n0 = 600.0\nn1 = 5.0\nn2 = 4.0\nn3 = 100.0\nt0 = n0 - n3\nt1 = n2 * t0\nt2 = t1 / n1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "train" + }, + { + "Input": "the length of the bridge is 200 m , which a 100 m long train cross in 60 sec . then what is the speed of train ?", + "Output Program": [ + "n0 = 200.0\nn1 = 100.0\nn2 = 60.0\nt0 = n0 + n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "find the distance covered by a man walking for 30 min at a speed of 10 km / hr ?", + "Output Program": [ + "n0 = 30.0\nn1 = 10.0\nt0 = n1 * 1000.0\nt1 = t0 / 60.0\nt2 = n0 * t1\nanswer = t2 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "worker a takes 8 hours to do a job . worker b takes 6 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.428571428571429" + ], + "split": "train" + }, + { + "Input": "if 20 men can build a wall 66 metres long in 4 days , what length of a similar can be built by 86 men in 8 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 66.0\nn2 = 4.0\nn3 = 86.0\nn4 = 8.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "567.6" + ], + "split": "train" + }, + { + "Input": "a train , 800 meter long is running with a speed of 78 km / hr . it crosses a tunnel in 1 minute . what is the length of the tunnel ( in meters ) ?", + "Output Program": [ + "n0 = 800.0\nn1 = 78.0\nn2 = 1.0\nt0 = n1 * 1000.0\nt1 = t0 / 3600.0\nt2 = t1 * 60.0\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "the sides of a rectangular field are in the ratio 3 : 4 . if the area of the field is 7500 sq . m , the cost of fencing the field @ 25 paise per metre is", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 4.0\nn2 = 7500.0\nn3 = 25.0\nt0 = n0 * n1\nt1 = n2 / t0\nt2 = math.sqrt(max(0, t1))\nt3 = n0 * t2\nt4 = n1 * t2\nt5 = 2 * (t3 + t4) # perimetere of rectangle\nt6 = n3 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "87.5" + ], + "split": "train" + }, + { + "Input": "a train 250 m long is running at a speed of 58 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?", + "Output Program": [ + "n0 = 250.0\nn1 = 58.0\nn2 = 8.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190788" + ], + "split": "train" + }, + { + "Input": "a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 60 percent .", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 60.0\nt0 = n2 / n1\nanswer = t0 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 10 days . in how many days b alone can do the work ?", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\nn2 = 10.0\nt0 = 1 / n2\nt1 = 1 / n0\nt2 = n1 * t1\nt3 = 1.0 - t2\nt4 = t0 * t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "14.999999999999996" + ], + "split": "train" + }, + { + "Input": "a person is traveling at 25 km / hr and reached his destiny in 5 hr find the distance ?", + "Output Program": [ + "n0 = 25.0\nn1 = 5.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "125" + ], + "split": "train" + }, + { + "Input": "a train 200 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train . find the speed of the train ?", + "Output Program": [ + "n0 = 200.0\nn1 = 6.0\nn2 = 5.0\nt0 = n0 / n1\nt1 = t0 / 0.2778\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "114.99040076793858" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 14.6 cm . what is the distance covered by the wheel in making 100 resolutions ?", + "Output Program": [ + "n0 = 14.6\nn1 = 100.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "91.77142857142857" + ], + "split": "train" + }, + { + "Input": "3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 3 men and 2 women will do that task .", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 6.0\nn3 = 2.0\nn4 = 3.0\nn5 = 2.0\nt0 = n1 - n3\nt1 = n2 - n0\nt2 = t0 / t1\nt3 = n4 * t2\nt4 = n2 * t2\nt5 = n5 + t3\nt6 = n3 + t4\nanswer = t5 / t6\nprint(answer)" + ], + "Output Answer": [ + "0.5714285714285714" + ], + "split": "train" + }, + { + "Input": "x can do a piece of work in 40 days . he works at it for 8 days and then y finished it in 28 days . how long will y take to complete the work ?", + "Output Program": [ + "n0 = 40.0\nn1 = 8.0\nn2 = 28.0\nt0 = n1 / n0\nt1 = 1.0 - t0\nt2 = 1 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 54 kmph and including stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 54.0\nn1 = 45.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "each day a man meets his wife at the train station after work , and then she drives him home . she always arrives exactly on time to pick him up . one day he catches an earlier train and arrives at the station an hour early . he immediately begins walking home along the same route the wife drives . eventually his wife sees him on her way to the station and drives him the rest of the way home . when they arrive home the man notices that they arrived 16 minutes earlier than usual . how much time did the man spend walking ?", + "Output Program": [ + "n0 = 16.0\nt0 = n0 / 2.0\nanswer = 60.0 - t0\nprint(answer)" + ], + "Output Answer": [ + "52" + ], + "split": "train" + }, + { + "Input": "on a map , 1.5 inches represent 24 miles . how many miles approximately is the distance if you measured 49 centimeters assuming that 1 - inch is 2.54 centimeters ?", + "Output Program": [ + "n0 = 1.5\nn1 = 24.0\nn2 = 49.0\nn3 = 1.0\nn4 = 2.54\nt0 = n2 / n4\nt1 = n1 / n0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "308.66141732283467" + ], + "split": "train" + }, + { + "Input": "if three painters can complete three rooms in three hours , how many painters would it take to do 27 rooms in 9 hours ?", + "Output Program": [ + "n0 = 27.0\nn1 = 9.0\nt0 = n1 * 3.0\nt1 = 3.0 * 3.0\nt2 = t0 * 3.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "a worker can load one truck in 5 hours . a second worker can load the same truck in 4 hours . if both workers load one truck simultaneously while maintaining their constant rates , approximately how long , in hours , will it take them to fill one truck ?", + "Output Program": [ + "n0 = 5.0\nn1 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "2.2222222222222223" + ], + "split": "train" + }, + { + "Input": "one men and three women working 7 hours a day finish a work in 5 days . four men and four women working 3 hours a day complete the work in 7 days . the number of days in which only 7 men working 4 hours a day will finish the work is ?", + "Output Program": [ + "n0 = 7.0\nn1 = 5.0\nn2 = 3.0\nn3 = 7.0\nn4 = 7.0\nn5 = 4.0\nt0 = n0 * n2\nt1 = n0 * n1\nt2 = n0 * n5\nt3 = n2 / t0\nt4 = n5 / t1\nt5 = t3 - t4\nt6 = t5 / n5\nt7 = t6 * t2\nanswer = 1.0 / t7\nprint(answer)" + ], + "Output Answer": [ + "5.000000000000001" + ], + "split": "train" + }, + { + "Input": "shannon and maxine work in the same building and leave work at the same time . shannon lives due north of work and maxine lives due south . the distance between maxine ' s house and shannon ' s house is 60 miles . if they both drive home at the rate 2 r miles per hour , maxine arrives home 40 minutes after shannon . if maxine rider her bike home at the rate of r per hour and shannon still drives at a rate of 2 r miles per hour , shannon arrives home 2 hours before maxine . how far does maxine live from work ?", + "Output Program": [ + "n0 = 60.0\nn1 = 2.0\nn2 = 40.0\nn3 = 2.0\nn4 = 2.0\nt0 = n0 * 3.0\nt1 = t0 - n0\nanswer = t1 / 3.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "a and b undertake to do a piece of work for rs . 1200 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . find the share of c .", + "Output Program": [ + "n0 = 1200.0\nn1 = 6.0\nn2 = 8.0\nn3 = 3.0\nt0 = n3 + 4.0\nt1 = t0 + 1.0\nt2 = 1.0 / t1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 30 cm and 12 cm long , and the distance between them is 16 cm ?", + "Output Program": [ + "n0 = 30.0\nn1 = 12.0\nn2 = 16.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "336" + ], + "split": "train" + }, + { + "Input": "working together , printer a and printer b would finish the task in 24 minutes . printer a alone would finish the task in 60 minutes . how many pages does the task contain if printer b prints 3 pages a minute more than printer a ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 2.0\nn3 = 1.0\nn4 = 10.0\nn5 = 35.0\nn6 = 4.0\nn7 = 3.0\nn8 = 5.0\nn9 = 3.0\nt0 = n4 + n8\nt1 = n4 * n6\nt2 = t1 / n1\nanswer = t0 + t2\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "john began driving from home on a trip averaging 30 miles per hour . how many miles per hour must carla drive on average to catch up to him in exactly 3 hours if she leaves 30 minutes after john ?", + "Output Program": [ + "n0 = 30.0\nn1 = 3.0\nn2 = 30.0\nt0 = 1.0 / 2.0\nt1 = n1 + t0\nt2 = n0 * t1\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "walking at the rate of 8 kmph a man cover certain distance in 3 hrs . . running at a speed of 16 kmph the man will cover the same distance in .", + "Output Program": [ + "n0 = 8.0\nn1 = 3.0\nn2 = 16.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "train" + }, + { + "Input": "two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line . for instance , 3 and 7 rhyme around 5 . what integer q between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 7.0\nn2 = 5.0\nn3 = 1.0\nn4 = 20.0\nt0 = 2.0 * n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 1100 m long ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 120.0\nn2 = 1100.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "230" + ], + "split": "train" + }, + { + "Input": "a can run 128 metre in 28 seconds and b in 32 seconds . by what distance a beat b ?", + "Output Program": [ + "n0 = 128.0\nn1 = 28.0\nn2 = 32.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "in a lake , there is a patch of lily pads . every day , the patch doubles in size . it takes 25 days for the patch to cover the entire lake , how many days would it take the patch to cover half of the lake ?", + "Output Program": [ + "n0 = 25.0\n\nanswer = n0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "sides of a rectangular park are in the ratio 3 : 2 and its area is 5766 sq m , the cost of fencing it at 50 ps per meter is ?", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 2.0\nn2 = 5766.0\nn3 = 50.0\nt0 = n1 * n2\nt1 = t0 / n0\nt2 = math.sqrt(max(0, t1))\nt3 = n2 / t2\nt4 = 2 * (t3 + t2) # perimetere of rectangle\nt5 = n3 * t4\nanswer = t5 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "155" + ], + "split": "train" + }, + { + "Input": "if 8 spiders make 8 webs in 8 days , then 1 spider will make 1 web in how many days ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 8.0\nn3 = 1.0\nn4 = 1.0\n\nanswer = n0 * n3\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "two cars start from the opposite places of a main road , 113 km apart . first car runs for 25 km and takes a right turn and then runs 15 km . it then turns left and then runs for another 25 km and then takes the direction back to reach the main road . in the mean time , due to minor break down the other car has run only 35 km along the main road . what would be the distance between two cars at this point ?", + "Output Program": [ + "n0 = 113.0\nn1 = 25.0\nn2 = 15.0\nn3 = 25.0\nn4 = 35.0\nt0 = n1 + n1\nt1 = n0 - n4\nanswer = t1 - t0\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "train" + }, + { + "Input": "a boat takes 19 hours for travelling downstream from point a to point b and coming back to a point c midway between a and b . if the velocity of the stream is 4 km / h and the speed of the boat in still water is 14 km / h , what is the distance between a and b ?", + "Output Program": [ + "n0 = 19.0\nn1 = 4.0\nn2 = 14.0\nt0 = n1 + n2\nt1 = n2 - n1\nt2 = 1.0 / t0\nt3 = t1 * 2.0\nt4 = 1.0 / t3\nt5 = t2 + t4\nanswer = n0 / t5\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 15 cm ?", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 15.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "285" + ], + "split": "train" + }, + { + "Input": "28 buckets of water fill a tank when the capacity of each bucket is 13.5 litres . how many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres ?", + "Output Program": [ + "n0 = 28.0\nn1 = 13.5\nn2 = 9.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "36 welders work at a constant rate they complete an order in 3 days . if after the first day , 12 welders start to work on the other project , how many more days the remaining welders will need to complete the rest of the order ?", + "Output Program": [ + "n0 = 36.0\nn1 = 3.0\nn2 = 12.0\nt0 = n0 * n1\nt1 = n0 - n2\nt2 = 1.0 / t0\nt3 = n0 * t2\nt4 = 1.0 - t3\nt5 = t4 / t1\nanswer = t5 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.0000000000000004" + ], + "split": "train" + }, + { + "Input": "in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 60 questions and secures 120 marks , the no of questions he attempts correctly is :", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 60.0\nn3 = 120.0\nt0 = n2 + n3\nt1 = n0 + n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "an engineer undertakes a project to build a road 10 km long in 15 days and employs 30 men for the purpose . after 5 days , he finds only 2 km of the road has been completed . find the ( approximate ) number of extra men he must employ to finish the work in time .", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 30.0\nn3 = 5.0\nn4 = 2.0\nt0 = n0 - n4\nt1 = n1 - n3\nt2 = n2 * t0\nt3 = n4 * t1\nt4 = n3 * t2\nt5 = t4 / t3\nanswer = t5 - n2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "chandigarh express of 100 m runs at a speed of 60 km / hr . what will be the time taken to cross a platform of 150 meters long ?", + "Output Program": [ + "n0 = 100.0\nn1 = 60.0\nn2 = 150.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "14.998800095992321" + ], + "split": "train" + }, + { + "Input": "a train passes a man standing on a platform in 8 seconds and also crosses the platform which is 270 metres long in 20 seconds . the length of the train ( in metres ) is :", + "Output Program": [ + "n0 = 8.0\nn1 = 270.0\nn2 = 20.0\nt0 = n2 - n0\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "if a farmer wants to plough a farm field on time , he must plough 90 hectares a day . for technical reasons he ploughed only 85 hectares a day , hence he had to plough 2 more days than he planned and he still has 40 hectares left . what is the area of the farm field and how many days the farmer planned to work initially ?", + "Output Program": [ + "n0 = 90.0\nn1 = 85.0\nn2 = 2.0\nn3 = 40.0\nt0 = n1 * n2\nt1 = n0 - n1\nt2 = n3 + t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "3780" + ], + "split": "train" + }, + { + "Input": "the heights of a wall is 6 times its width and the length of the wall is 7 times its height . if volume of the wall be 16128 cu . m , its width is", + "Output Program": [ + "import math\nn0 = 6.0\nn1 = 7.0\nn2 = 16128.0\nt0 = n0 * n1\nt1 = n0 * t0\nt2 = n2 / t1\nt3 = math.sqrt(max(0, t2))\nanswer = t3 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a cistern normally takes 6 hours to be filled by a tap but because of a leak , 2 hours more . in how many hours will the leak empty a full cistern ?", + "Output Program": [ + "n0 = 6.0\nn1 = 2.0\nt0 = n0 + n1\nt1 = 1 / n0\nt2 = 1 / t0\nt3 = t1 - t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "24.000000000000007" + ], + "split": "train" + }, + { + "Input": "john left home and drove at the rate of 45 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 50 mph to reach his destination . how many miles did john drive ?", + "Output Program": [ + "n0 = 45.0\nn1 = 2.0\nn2 = 3.0\nn3 = 50.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "a flagpole 18 meters high casts a shadow of length 45 meters . if a building under similar conditions casts a shadow of length 50 meters , what is the height of the building ( in meters ) ?", + "Output Program": [ + "n0 = 18.0\nn1 = 45.0\nn2 = 50.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a certain number of workers can do a work in 75 days . if there were 10 workers more it could be finished in 10 days less . how many workers are there ?", + "Output Program": [ + "n0 = 75.0\nn1 = 10.0\nn2 = 10.0\nt0 = n0 - n1\nt1 = n1 * t0\nt2 = n0 - t0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "train" + }, + { + "Input": "it takes avery 2 hours to build a brick wall while tom can do it in 4 hour . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1.0 - t2\nt4 = t3 / t1\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 140 km in the first hour and 40 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 140.0\nn1 = 40.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "12 buckets of water fill a tank when the capacity of each bucket is 49 litres . how many buckets will be needed to fill the same tank , if the capacity of each bucket is 7 litres ?", + "Output Program": [ + "n0 = 12.0\nn1 = 49.0\nn2 = 7.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "train" + }, + { + "Input": "if the perimeter of a rectangular garden is 950 m , its length when its breadth is 100 m is ?", + "Output Program": [ + "n0 = 950.0\nn1 = 100.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "375" + ], + "split": "train" + }, + { + "Input": "it takes printer a 4 more minutes more than printer b to print 40 pages . working together , the two printers can print 50 pages in 6 minutes . how long will it take printer a to print 100 pages ?", + "Output Program": [ + "n0 = 4.0\nn1 = 40.0\nn2 = 50.0\nn3 = 6.0\nn4 = 100.0\nt0 = n0 * 2.0\nt1 = n0 + t0\nt2 = n4 * t1\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a metal company ' s old machine makes bolts at a constant rate of 100 bolts per hour . the company ' s new machine makes bolts at a constant rate of 150 bolts per hour . if both machines start at the same time and continue making bolts simultaneously , how many minutes will it take the two machines to make a total of 350 bolts ?", + "Output Program": [ + "n0 = 100.0\nn1 = 150.0\nn2 = 350.0\nt0 = n0 / 60.0\nt1 = n1 / 60.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "train" + }, + { + "Input": "a leak in the bottom of a tank can empty the full tank in 8 hours . an inlet pipe fills water at the rate of 6 litres a minute . when the tank is full , the inlet is opened and due to the leak , the tank is empty in 12 hours . how many litres does the cistern hold ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 12.0\nt0 = n2 * 60.0\nt1 = n0 * 60.0\nt2 = t0 / t1\nt3 = n1 * t0\nt4 = t2 - 1.0\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "8640" + ], + "split": "train" + }, + { + "Input": "how many hours in one year ?", + "Output Program": [ + "t0 = 3600.0 / 10.0\nt1 = 10.0 / 2.0\nt2 = 3.0 * 4.0\nt3 = t0 + t1\nt4 = t2 * 2.0\nanswer = t3 * t4\nprint(answer)" + ], + "Output Answer": [ + "8760" + ], + "split": "train" + }, + { + "Input": "the area of a sector of a circle of radius 5 cm formed by an arc of length 5.5 cm is ?", + "Output Program": [ + "n0 = 5.0\nn1 = 5.5\nt0 = 1.0 / 2.0\nt1 = n0 * n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "13.75" + ], + "split": "train" + }, + { + "Input": "a 450 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 450.0\nn1 = 39.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "525" + ], + "split": "train" + }, + { + "Input": "250 metres long yard , 51 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees", + "Output Program": [ + "n0 = 250.0\nn1 = 51.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 4 hours to complete the journey . if the distance between city a and city b is 450 kms and city a and city c is 300 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 450.0\nn3 = 300.0\nt0 = n2 / n0\nt1 = n3 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "pipe x that can fill a tank in an hour and pipe y that can fill the tank in half an hour are opened simultaneously when the tank is empty . pipe y is shut 15 minutes before the tank overflows . when will the tank overflow ?", + "Output Program": [ + "n0 = 15.0\nt0 = 1.0 + 2.0\nt1 = 1.0 * 60.0\nt2 = n0 / t1\nt3 = 1.0 - t2\nt4 = t3 / t0\nt5 = t4 + t2\nanswer = t5 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a and b can complete a work in 15 days and 10 day . they started doing the work together but after 2 days b had to leave and a alone completed the remaining work . the whole work was completed in ?", + "Output Program": [ + "n0 = 15.0\nn1 = 10.0\nn2 = 2.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nt4 = 1.0 - t3\nt5 = n0 * t4\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "the speeds of three asteroids were compared . asteroids x - 13 and y - 14 were observed for identical durations , while asteroid z - 15 was observed for 2 seconds longer . during its period of observation , asteroid y - 14 traveled three times the distance x - 13 traveled , and therefore y - 14 was found to be faster than x - 13 by 6000 kilometers per second . asteroid z - 15 had an identical speed as that of x - 13 , but because z - 15 was observed for a longer period , it traveled five times the distance x - 13 traveled during x - 13 ' s inspection . asteroid x - 13 traveled how many kilometers during its observation ?", + "Output Program": [ + "n0 = 13.0\nn1 = 14.0\nn2 = 15.0\nn3 = 2.0\nn4 = 14.0\nn5 = 13.0\nn6 = 14.0\nn7 = 13.0\nn8 = 6000.0\nn9 = 15.0\nn10 = 13.0\nn11 = 15.0\nn12 = 13.0\nn13 = 13.0\nn14 = 13.0\nt0 = n8 / n3\nt1 = 1.0 / n3\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "1500" + ], + "split": "train" + }, + { + "Input": "in what time will a train 95 m long cross an electric pole , it its speed be 214 km / hr ?", + "Output Program": [ + "n0 = 95.0\nn1 = 214.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "1.5980030008814248" + ], + "split": "train" + }, + { + "Input": "car x began traveling at an average speed of 35 miles per hour . after 72 minutes , car y began traveling at an average speed of 65 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?", + "Output Program": [ + "n0 = 35.0\nn1 = 72.0\nn2 = 65.0\nt0 = n1 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "49" + ], + "split": "train" + }, + { + "Input": "one computer can upload 100 megabytes worth of data in 3 seconds . two computers , including this one , working together , can upload 1300 megabytes worth of data in 30 seconds . how long would it take for the second computer , working on its own , to upload 100 megabytes of data ?", + "Output Program": [ + "n0 = 100.0\nn1 = 3.0\nn2 = 1300.0\nn3 = 30.0\nn4 = 100.0\nt0 = n2 / n3\nt1 = n0 / n1\nanswer = t0 - t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "two trains 130 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 130.0\nn1 = 160.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "10.439164866810657" + ], + "split": "train" + }, + { + "Input": "a contractor undertook to do a piece of work in 8 days . he employed certain number of laboures but 3 of them were absent from the very first day and the rest could finish the work in only 14 days . find the number of men originally employed ?", + "Output Program": [ + "n0 = 8.0\nn1 = 3.0\nn2 = 14.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "1240 men have provisions for 12 days . if 300 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 1240.0\nn1 = 12.0\nn2 = 300.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "9.662337662337663" + ], + "split": "train" + }, + { + "Input": "in how many seconds will a train 150 meters long pass an oak tree , if the speed of the train is 36 km / hr ?", + "Output Program": [ + "n0 = 150.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "14.998800095992321" + ], + "split": "train" + }, + { + "Input": "two numbers n and 16 have lcm = 48 and gcf = 4 . find n .", + "Output Program": [ + "n0 = 16.0\nn1 = 48.0\nn2 = 4.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "speed of a boat in standing water is 16 kmph and the speed of the stream is 2 kmph . a man rows to a place at a distance of 7020 km and comes back to the starting point . the total time taken by him is :", + "Output Program": [ + "n0 = 16.0\nn1 = 2.0\nn2 = 7020.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "891.4285714285714" + ], + "split": "train" + }, + { + "Input": "machine a can process 6000 envelopes in 3 hours . machines b and c working together but independently can process the same number of envelopes in 2.5 hours . if machines a and c working together but independently process 3000 envelopes in 1 hour , then how many hours would it take machine b to process 7000 envelopes .", + "Output Program": [ + "n0 = 6000.0\nn1 = 3.0\nn2 = 2.5\nn3 = 3000.0\nn4 = 1.0\nn5 = 7000.0\nt0 = n0 / n2\nt1 = n3 / n4\nt2 = n0 / n1\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = n5 / t4\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "a train is 360 meter long is running at a speed of 54 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 360.0\nn1 = 54.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "33.333333333333336" + ], + "split": "train" + }, + { + "Input": "a train 1500 m long can cross an electric pole in 50 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 1500.0\nn1 = 50.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "108" + ], + "split": "train" + }, + { + "Input": "if the perimeter of a rectangular playground is 1200 m , its length when its breadth is 500 m is ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 500.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a person can swim in still water at 4 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 14 km ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 14.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "train" + }, + { + "Input": "how long does a train 130 m long running at the speed of 65 km / hr takes to cross a bridge 150 m length ?", + "Output Program": [ + "n0 = 130.0\nn1 = 65.0\nn2 = 150.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "15.506451791548985" + ], + "split": "train" + }, + { + "Input": "arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 60 days .", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nn2 = 60.0\nt0 = n2 / n0\nt1 = n1 * t0\nanswer = n2 - t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "if a train , travelling at a speed of 180 kmph , crosses a pole in 5 sec , then the length of train is ?", + "Output Program": [ + "n0 = 180.0\nn1 = 5.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "250.01999999999998" + ], + "split": "train" + }, + { + "Input": "9 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 12 cm height . what is the diameter of each sphere ?", + "Output Program": [ + "import math\nn0 = 9.0\nn1 = 16.0\nn2 = 12.0\nt0 = n1 / 2.0\nt1 = math.pi * t0**2 * n2\nt2 = t1 / 3.141592653589793\nt3 = t2 * 3.0\nt4 = t3 / 4.0\nt5 = t4 / n0\nt6 = t5 / 4.0\nt7 = t6 / 4.0\nanswer = t7 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a deer passed a certain tree at a constant speed of 50 miles per hour while being chased by a cheetah . then , 2 minutes later , the cheetah passed the same tree at a constant speed of 60 miles per hour . if both animals maintained their speeds , how long after the cheetah passed the tree did the cheetah catch up with the deer ?", + "Output Program": [ + "n0 = 50.0\nn1 = 2.0\nn2 = 60.0\n\nanswer = n2 / n2\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "an athlete runs 200 metres race in 25 seconds . what is his speed ?", + "Output Program": [ + "n0 = 200.0\nn1 = 25.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "28.8" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 3.1 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 3.1\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "15.93893722612836" + ], + "split": "train" + }, + { + "Input": "a , band c can do a piece of work in 11 days , 5 days and 55 days respectively , working alone . how soon can the work be done if a is assisted by band c on alternate days ?", + "Output Program": [ + "n0 = 11.0\nn1 = 5.0\nn2 = 55.0\nt0 = n2 / n0\nt1 = n2 / n1\nt2 = n2 / n2\nt3 = t0 + t1\nt4 = t0 + t2\nt5 = t3 + t4\nt6 = t5 / 2.0\nanswer = n2 / t6\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "two trains 300 m and 400 m long run at the speed of 36 kmph and 18 kmph in opposite directions in parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 300.0\nn1 = 400.0\nn2 = 36.0\nn3 = 18.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "46.66293363197611" + ], + "split": "train" + }, + { + "Input": "bob wants to run a mile in the same time as his sister . if bob \u2019 s time for a mile is currently 10 minutes 40 seconds and his sister \u2019 s time is currently 9 minutes 17 seconds , by what percent does bob need to improve his time in order run a mile in the same time as his sister ?", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nn2 = 9.0\nn3 = 17.0\nt0 = n0 * n0\nt1 = n2 * 60.0\nt2 = n0 * 60.0\nt3 = n3 + t1\nt4 = n1 + t2\nt5 = t3 / t4\nt6 = 1.0 - t5\nanswer = t0 * t6\nprint(answer)" + ], + "Output Answer": [ + "12.968749999999996" + ], + "split": "train" + }, + { + "Input": "a goods train leaves a station at a certain time and at a fixed speed . after 6 hours , an express train leaves the same station and moves in the same direction at a uniform speed of 90 kmph . this train catches up the goods train in 4 hours . find the speed of the goods train .", + "Output Program": [ + "n0 = 6.0\nn1 = 90.0\nn2 = 4.0\nt0 = n0 + n2\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "if 3 people can do 3 times of a particular work in 3 days , then how many days would it take 4 people to do 4 times of that particular work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 3.0\nn3 = 4.0\nn4 = 4.0\nt0 = n3 / n3\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "two persons a and b can complete a piece of work in 20 days and 40 days respectively . if they work together , what part of the work will be completed in 5 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 40.0\nn2 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "0.37500000000000006" + ], + "split": "train" + }, + { + "Input": "a swimmer can swim in still water at 4 km / h . if the speed of the water current is 2 km / h , how many hours will the swimmer take to swim against the current for 7 km ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 7.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.5" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 15 km / hr . if he rows downstream , where the speed of current is 3 km / hr , how many seconds will he take to cover 110 meters ?", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 110.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = 100.0 / t1\nprint(answer)" + ], + "Output Answer": [ + "19.99840012798976" + ], + "split": "train" + }, + { + "Input": "at 15 : 00 there were 20 students in the computer lab . at 15 : 03 and every three minutes after that , 4 students entered the lab . if at 15 : 10 and every ten minutes after that 8 students left the lab , how many students were in the computer lab at 15 : 44 ?", + "Output Program": [ + "import math\nn0 = 15.0\nn1 = 0.0\nn2 = 20.0\nn3 = 15.0\nn4 = 3.0\nn5 = 4.0\nn6 = 15.0\nn7 = 10.0\nn8 = 8.0\nn9 = 15.0\nn10 = 44.0\nt0 = n10 / n5\nt1 = n10 / n8\nt2 = math.floor(t0)\nt3 = math.floor(t1)\nt4 = n5 * t2\nt5 = n8 * t3\nt6 = n2 + t4\nt7 = t6 - t5\nanswer = n4 + t7\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "train" + }, + { + "Input": "if a , b and c together can finish a piece of work in 4 days . a alone in 6 days and b in 18 days , then c alone can do it in ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 18.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 0.25 - t0\nt3 = t2 - t1\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "35.999999999999986" + ], + "split": "train" + }, + { + "Input": "wo passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 16 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ?", + "Output Program": [ + "n0 = 16.0\nn1 = 21.0\nn2 = 60.0\nt0 = n0 + n1\nt1 = n1 - n0\nt2 = n2 / t1\nanswer = t0 * t2\nprint(answer)" + ], + "Output Answer": [ + "444" + ], + "split": "train" + }, + { + "Input": "donovan and michael are racing around a circular 600 - meter track . if donovan runs each lap in 45 seconds and michael runs each lap in 40 seconds , how many laps will michael have to complete in order to pass donovan , assuming they start at the same time ?", + "Output Program": [ + "n0 = 600.0\nn1 = 45.0\nn2 = 40.0\nt0 = n0 / n2\nt1 = n0 / n1\nt2 = t0 - t1\nt3 = n0 / t2\nanswer = t3 / n2\nprint(answer)" + ], + "Output Answer": [ + "9.000000000000004" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 15 km / hr and the rate of current is 3 km / hr . the distance travelled downstream in 12 minutes is", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 12.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "3.6" + ], + "split": "train" + }, + { + "Input": "a is half good a work man as b and together they finish a job in 26 days . in how many days working alone b finish the job ?", + "Output Program": [ + "n0 = 26.0\nt0 = 3.0 / 2.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "39" + ], + "split": "train" + }, + { + "Input": "jane and ashley take 20 days and 10 days respectively to complete a project when they work on it alone . they thought if they worked on the project together , they would take fewer days to complete it . during the period that they were working together , jane took an eight day leave from work . this led to jane ' s working for four extra days on her own to complete the project . how long did it take to finish the project ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nt0 = 4.0 + 4.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = t1 + t2\nt4 = t1 * 4.0\nt5 = t0 * t2\nt6 = 1.0 - t4\nt7 = t6 - t5\nt8 = t7 / t3\nt9 = t0 + t8\nanswer = t9 + 4.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "if john runs in the speed of 9 km / hr from his house , in what time will he reach the park which is 300 m long from his house ?", + "Output Program": [ + "n0 = 9.0\nn1 = 300.0\nt0 = n0 * 1000.0\nt1 = n1 / t0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 25 kmph . if it can travel 10 km upstream in 1 hr , what time it would take to travel the same distance downstream ?", + "Output Program": [ + "n0 = 25.0\nn1 = 10.0\nn2 = 1.0\n\nanswer = n0 - n1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "what is the minimum number of square tiles required to tile a floor of length 5 metres 78 cm and width 3 metres 74 cm ?", + "Output Program": [ + "n0 = 5.0\nn1 = 78.0\nn2 = 3.0\nn3 = 74.0\nt0 = n0 * 100.0\nt1 = 4.0 * 4.0\nt2 = n2 * 100.0\nt3 = n1 + t0\nt4 = n3 + t2\nt5 = t1 * 2.0\nt6 = t5 + 2.0\nt7 = t3 / t6\nt8 = t4 / t6\nanswer = t7 * t8\nprint(answer)" + ], + "Output Answer": [ + "187" + ], + "split": "train" + }, + { + "Input": "a man goes downstream at 12 kmph , and upstream 8 kmph . the speed of the stream is", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "micheal and adam can do together a piece of work in 20 days . after they have worked together for 18 days micheal stops and adam completes the remaining work in 10 days . in how many days micheal complete the work separately .", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 10.0\nt0 = 1 / n0\nt1 = n1 * t0\nt2 = 1.0 - t1\nt3 = 1 / t2\nt4 = n2 * t3\nt5 = 1 / t4\nt6 = t0 - t5\nanswer = 1 / t6\nprint(answer)" + ], + "Output Answer": [ + "24.999999999999996" + ], + "split": "train" + }, + { + "Input": "length of a rectangular plot is 32 mtr more than its breadth . if the cost of fencin gthe plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 32.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "66" + ], + "split": "train" + }, + { + "Input": "the distance from city a to city b is 120 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ?", + "Output Program": [ + "n0 = 120.0\nn1 = 40.0\nn2 = 30.0\nt0 = n0 / n1\nt1 = n2 / 60.0\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "if the wheel is 14 cm then the number of revolutions to cover a distance of 1056 cm is ?", + "Output Program": [ + "n0 = 14.0\nn1 = 1056.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "12.010919017288444" + ], + "split": "train" + }, + { + "Input": "the length of minute hand of a clock is 5.2 cm . what is the area covered by this in 10 minutes", + "Output Program": [ + "n0 = 5.2\nn1 = 10.0\nt0 = 3.0 + 4.0\nt1 = n1 * 2.0\nt2 = 1.0 * 60.0\nt3 = 100.0 * 3.6\nt4 = n0 * n0\nt5 = t1 + 2.0\nt6 = t2 / t3\nt7 = t5 / t0\nt8 = t6 * t4\nanswer = t7 * t8\nprint(answer)" + ], + "Output Answer": [ + "14.163809523809524" + ], + "split": "train" + }, + { + "Input": "the lcm of two numbers is 2310 and hcf is 26 . if one of the numbers is 210 . then what is the other number ?", + "Output Program": [ + "n0 = 2310.0\nn1 = 26.0\nn2 = 210.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "286" + ], + "split": "train" + }, + { + "Input": "a train speeds past a pole in 50 seconds and a platform 500 m long in 100 seconds . its length is :", + "Output Program": [ + "n0 = 50.0\nn1 = 500.0\nn2 = 100.0\nt0 = 2.0 - 1.0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "train" + }, + { + "Input": "how many times are the hands of a clock at right angles in a day ?", + "Output Program": [ + "t0 = 12.0 - 1.0\nt1 = t0 * 2.0\nanswer = t1 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "train" + }, + { + "Input": "a is twice as good as workman as b and together they finish a piece of work in 18 days . in how many days will b alone finish the work .", + "Output Program": [ + "n0 = 18.0\n\nanswer = n0 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "the speed of a boat in still water is 36 kmph . what is the speed of the stream if the boat can cover 80 km downstream or 40 km upstream in the same time ?", + "Output Program": [ + "n0 = 36.0\nn1 = 80.0\nn2 = 40.0\nt0 = 1.0 + 2.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a motorcyclist started riding at highway marker a , drove 120 miles to highway marker b , and then , without pausing , continued to highway marker c , where she stopped . the average speed of the motorcyclist , over the course of the entire trip , was 50 miles per hour . if the ride from marker a to marker b lasted 3 times as many hours as the rest of the ride , and the distance from marker b to marker c was half of the distance from marker a to marker b , what was the average speed , in miles per hour , of the motorcyclist while driving from marker b to marker c ?", + "Output Program": [ + "n0 = 120.0\nn1 = 50.0\nn2 = 3.0\nt0 = n0 / 2.0\nt1 = n0 + t0\nt2 = t1 / n1\nt3 = t2 / 4.0\nanswer = t3 * t0\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "train" + }, + { + "Input": "if m = | | n \u2013 3 | \u2013 2 | , for how many values of n is m = 5 ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 5.0\nt0 = n1 + n2\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "if 3 cm of a pencil is purple , 2 cm of the remaining is black and the remaining 1 cm is blue , what is the total length of the pencil ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 1.0\nt0 = n0 + n1\nanswer = n2 + t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a car covers a distance of 624 km in 2 2 / 5 hours . find its speed ?", + "Output Program": [ + "n0 = 624.0\nn1 = 2.0\nn2 = 2.0\nn3 = 5.0\nt0 = n2 / n3\nt1 = n1 + t0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "260" + ], + "split": "train" + }, + { + "Input": "if ram and gohul can do a job in 10 days and 15 days independently , how many days would they take to complete the same job working simultaneously ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "train" + }, + { + "Input": "trapezoid jklm in the x - y plane has coordinates j = ( \u2013 2 , \u2013 4 ) , k = ( \u2013 2 , 2 ) , l = ( 6 , 8 ) , and m = ( 6 , \u2013 4 ) . what is its perimeter ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nn2 = 2.0\nn3 = 2.0\nn4 = 6.0\nn5 = 8.0\nn6 = 6.0\nn7 = 4.0\nt0 = n1 + n3\nt1 = n0 + n4\nt2 = n1 + n5\nt3 = t0 + 10.0\nt4 = t3 + t1\nanswer = t4 + t2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "the distance from steve ' s house to work is 20 km . on the way back steve drives twice as fast as he did on the way to work . altogether , steve is spending 6 hours a day on the roads . what is steve ' s speed on the way back from work ?", + "Output Program": [ + "n0 = 20.0\nn1 = 6.0\nt0 = n0 / 2.0\nt1 = n0 + t0\nt2 = t1 / n1\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a train is 357 meter long is running at a speed of 42 km / hour . in what time will it pass a bridge of 137 meter length ?", + "Output Program": [ + "n0 = 357.0\nn1 = 42.0\nn2 = 137.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "42.34285714285714" + ], + "split": "train" + }, + { + "Input": "how many seconds does sandy take to cover a distance of 700 meters , if sandy runs at a speed of 18 km / hr ?", + "Output Program": [ + "n0 = 700.0\nn1 = 18.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "139.98880089592834" + ], + "split": "train" + }, + { + "Input": "a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late . had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late . what is the speed r of the train .", + "Output Program": [ + "n0 = 50.0\nn1 = 3.0\nn2 = 4.0\nn3 = 35.0\nn4 = 24.0\nn5 = 25.0\nt0 = n2 * n4\nt1 = n3 - n5\nt2 = n0 + t1\nt3 = t0 / n1\nt4 = t2 / t1\nt5 = t3 - n4\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 2 / 3 of all the paint . during the second week , he uses 1 / 5 of the remaining paint . how many gallons of paint has joe used ?", + "Output Program": [ + "n0 = 360.0\nn1 = 2.0\nn2 = 3.0\nn3 = 1.0\nn4 = 5.0\nt0 = n0 / n2\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n4\nanswer = t3 + t1\nprint(answer)" + ], + "Output Answer": [ + "264" + ], + "split": "train" + }, + { + "Input": "a light flashes every 6 seconds , how many times will it flash in ? of an hour ?", + "Output Program": [ + "n0 = 6.0\n\nanswer = 3600.0 / n0\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "a train 240 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 240.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "13.090909090909092" + ], + "split": "train" + }, + { + "Input": "a and b can do a work in 4 hours and 12 hours respectively . a starts the work at 6 am and they work alternately for one hour each . when will the work be completed ?", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nn2 = 6.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nt3 = 1 / t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a person walks from one end to the other of a 100 - meter long moving walkway at a constant rate in 50 seconds , assisted by the walkway . when this person reaches the end , they reverse direction and continue walking with the same speed , but this time it takes 150 seconds because the person is traveling against the direction of the moving walkway . if the walkway were to stop moving , how many seconds would it take this person to walk from one end of the walkway to the other ?", + "Output Program": [ + "n0 = 100.0\nn1 = 50.0\nn2 = 150.0\nt0 = n0 / n1\nt1 = n0 / n2\nt2 = t0 + t1\nt3 = t2 / 2.0\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 16.8 cm . what is the distance covered by the wheel in making 300 resolutions ?", + "Output Program": [ + "n0 = 16.8\nn1 = 300.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "316.8" + ], + "split": "train" + }, + { + "Input": "the lenght of a room is 5.5 m and width is 4 m . find the cost of paving the floor by slabs at the rate of rs . 850 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 4.0\nn2 = 850.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "18700" + ], + "split": "train" + }, + { + "Input": "a train leaves delhi at 9 a . m . at a speed of 30 kmph . another train leaves at 2 p . m . at a speed of 35 kmph on the same day and in the same direction . how far from delhi , will the two trains meet ?", + "Output Program": [ + "n0 = 9.0\nn1 = 30.0\nn2 = 2.0\nn3 = 35.0\nt0 = n2 + 3.0\nt1 = n3 - n1\nt2 = n1 * t0\nt3 = t2 / t1\nanswer = n3 * t3\nprint(answer)" + ], + "Output Answer": [ + "1050" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 25.4 cm . what is the distance covered by the wheel in making 500 resolutions ?", + "Output Program": [ + "n0 = 25.4\nn1 = 500.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "798.2857142857142" + ], + "split": "train" + }, + { + "Input": "b completes a work in 6 days . a alone can do it in 10 days . if both work together , the work can be completed in how many days ?", + "Output Program": [ + "n0 = 5.0\nn1 = 10.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.333333333333333" + ], + "split": "train" + }, + { + "Input": "a man can row upstream at 20 kmph and downstream at 28 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 20.0\nn1 = 28.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "if a tire rotates at 400 revolutions per minute when the car is traveling 144 km / h , what is the circumference of the tire ?", + "Output Program": [ + "n0 = 400.0\nn1 = 144.0\nt0 = 2.0 * 3.0\nt1 = t0 * 10.0\nt2 = n0 * t1\nt3 = n1 / t2\nanswer = t3 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "working alone at its constant rate , machine a produces x boxes in 10 minutes and working alone at its constant rate , machine b produces 2 x boxes in 5 minutes . how many minutes does it take machines a and b , working simultaneously at their respective constant rates , to produce 6 x boxes ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 5.0\nn3 = 6.0\nt0 = n0 * n3\nt1 = n0 * n1\nt2 = n0 / n0\nt3 = t1 / n2\nt4 = t2 + t3\nanswer = t0 / t4\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a light flashes every 15 seconds , how many times will it flash in ? of an hour ?", + "Output Program": [ + "n0 = 15.0\n\nanswer = 3600.0 / n0\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "train" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 7 seconds . find the length of the train .", + "Output Program": [ + "n0 = 60.0\nn1 = 7.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "116.66666666666667" + ], + "split": "train" + }, + { + "Input": "in what time will a train 40 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 40.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.9999200063994881" + ], + "split": "train" + }, + { + "Input": "in a dairy farm , 50 cows eat 50 bags of husk in 50 days . in how many days one cow will eat one bag of husk ?", + "Output Program": [ + "n0 = 50.0\nn1 = 50.0\nn2 = 50.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "roja and pooja start moving in the opposite directions from a pole . they are moving at the speeds of 2 km / hr and 3 km / hr respectively . after 4 hours what will be the distance between them ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 4.0\nt0 = n0 + n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "how many liters of oil at rs . 40 per liter should be mixed with 240 liters of a second variety of oil at rs . 60 per liter so as to get a mixture whose cost is rs . 52 per liter ?", + "Output Program": [ + "n0 = 40.0\nn1 = 240.0\nn2 = 60.0\nn3 = 52.0\nt0 = n1 * n2\nt1 = n1 * n3\nt2 = n3 - n0\nt3 = t0 - t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "convert the 8 / 26 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 8.0\nn1 = 26.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "1.1076923076923078" + ], + "split": "train" + }, + { + "Input": "in what time will a train 140 m long cross an electric pole , it its speed be 108 km / hr ?", + "Output Program": [ + "n0 = 140.0\nn1 = 108.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.666293363197611" + ], + "split": "train" + }, + { + "Input": "a small water pump would take 2 hours to fill an empty tank . a larger pump would take 1 / 3 hour to fill the same tank . how many hours would it take both pumps , working at their respective constant rates , to fill the empty tank if they began pumping at the same time ?", + "Output Program": [ + "n0 = 2.0\nn1 = 1.0\nn2 = 3.0\nt0 = 1 / n0\nt1 = n2 + t0\nanswer = 1 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.2857142857142857" + ], + "split": "train" + }, + { + "Input": "a train 90 meters long completely crosses a 200 meters long bridge in 36 seconds . what is the speed of the train is ?", + "Output Program": [ + "n0 = 90.0\nn1 = 200.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 / 3600.0\nt2 = t0 / 1000.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "28.999999999999996" + ], + "split": "train" + }, + { + "Input": "a contractor undertakes to do a job within 100 days and hires 10 people to do it . after 20 days , he realizes that one fourth of the work is done so he fires 2 people . in how many more days b will the work get over ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 20.0\nn3 = 2.0\nt0 = n1 * n2\nt1 = 1.0 - 0.25\nt2 = n1 - n3\nt3 = t0 / 0.25\nt4 = t3 * t1\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "a man rows downstream 32 km and 14 km upstream . if he takes 6 hours to cover each distance , then the velocity ( in kmph ) of the current is :", + "Output Program": [ + "n0 = 32.0\nn1 = 14.0\nn2 = 6.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1.4999999999999998" + ], + "split": "train" + }, + { + "Input": "a boat takes 90 minutes less to travel 36 miles downstream than to travel the same distance upstream . if the speed of the boat in still water is 10 mph , the speed of the stream is", + "Output Program": [ + "import math\nn0 = 90.0\nn1 = 36.0\nn2 = 10.0\nt0 = n0 / 60.0\nt1 = n2**min(2.0, 5)\nt2 = n1 / t0\nt3 = t1 * 4.0\nt4 = t2 * 2.0\nt5 = t4**min(2.0, 5)\nt6 = t3 + t5\nt7 = math.sqrt(max(0, t6))\nt8 = t7 - t4\nanswer = t8 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "by travelling at 40 kmph , a person reaches his destination on time . he covered two - third the total distance in one - third of the total time . what speed should he maintain for the remaining distance to reach his destination on time ?", + "Output Program": [ + "n0 = 40.0\nt0 = n0 * 3.0\nt1 = 3.0 - 1.0\nt2 = t0 * 2.0\nt3 = t2 / 3.0\nt4 = t0 - t3\nanswer = t4 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 130 metres long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 130.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "245" + ], + "split": "train" + }, + { + "Input": "sakshi can do a piece of work in 10 days . tanya is 25 % more efficient than sakshi . the number of days taken by tanya to do the same piece of work :", + "Output Program": [ + "n0 = 10.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "johnny makes $ 2.35 per hour at his work . if he works 5 hours , how much money will he earn ?", + "Output Program": [ + "n0 = 2.35\nn1 = 5.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "11.75" + ], + "split": "train" + }, + { + "Input": "a and b together can plough a field in 10 hours but by himself a requires 15 hours . how long would b take to plough the same field ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "29.999999999999993" + ], + "split": "train" + }, + { + "Input": "if two girls starting from same point , walking in the opposite directions with 7 km / hr and 3 km / hr as average speeds respectively . then the distance between them after 12 hours is ?", + "Output Program": [ + "n0 = 7.0\nn1 = 3.0\nn2 = 12.0\nt0 = n0 + n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "two persons a and b can complete a piece of work in 30 days and 45 days respectively . if they work together , what part of the work will be completed in 7 days ?", + "Output Program": [ + "n0 = 30.0\nn1 = 45.0\nn2 = 7.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "0.38888888888888884" + ], + "split": "train" + }, + { + "Input": "24 men working 8 hours a day can finish a work in 10 days . working at the rate of 10 hours a day , the number of men required to finish the same work in 6 days is", + "Output Program": [ + "n0 = 24.0\nn1 = 8.0\nn2 = 10.0\nn3 = 10.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n2 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a contractor is engaged for 30 days on the condition thathe receives rs . 25 for each day he works & is fined rs . 7.50 for each day is absent . he gets rs . 620 in all . for how many days was he absent ?", + "Output Program": [ + "n0 = 30.0\nn1 = 25.0\nn2 = 7.5\nn3 = 620.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = n3 + t1\nt3 = t2 / t0\nanswer = n0 - t3\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "a runner runs the 40 miles from marathon to athens at a constant speed . halfway through the run she injures her foot , and continues to run at half her previous speed . if the second half takes her 11 hours longer than the first half , how many hours did it take the runner to run the second half ?", + "Output Program": [ + "n0 = 40.0\nn1 = 11.0\nt0 = n0 / 2.0\nt1 = t0 / n1\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "22" + ], + "split": "train" + }, + { + "Input": "65 boys can complete a work in 30 days . how many men need to complete twice the work in 20 days", + "Output Program": [ + "n0 = 65.0\nn1 = 30.0\nn2 = 20.0\nt0 = n1 * 2.0\nt1 = n0 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "195" + ], + "split": "train" + }, + { + "Input": "a train of length 250 m crosses a bridge of length 150 m in 25 seconds . what is the speed of train ?", + "Output Program": [ + "n0 = 250.0\nn1 = 150.0\nn2 = 25.0\nt0 = n0 + n1\nt1 = t0 / n2\nanswer = t1 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "57.6" + ], + "split": "train" + }, + { + "Input": "12 : 8 seconds : : ? : 4 minutes", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 4.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "train" + }, + { + "Input": "a hall 36 m long and 15 m broad is to be paved with stones , each measuring 4 dm by 5 dm . the number of stones required is :", + "Output Program": [ + "n0 = 36.0\nn1 = 15.0\nn2 = 4.0\nn3 = 5.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t1 / 100.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "2700" + ], + "split": "train" + }, + { + "Input": "jane makes toy bears . when she works with an assistant , she makes 80 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane \u2019 s output of toy bears per hour by what percent r ?", + "Output Program": [ + "n0 = 80.0\nn1 = 10.0\nt0 = 100.0 - n0\nt1 = t0 - n1\nt2 = n1 / t1\nanswer = t2 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a trader sells 75 meters of cloth for rs . 4950 at the profit of rs . 15 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 75.0\nn1 = 4950.0\nn2 = 15.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "51" + ], + "split": "train" + }, + { + "Input": "venki takes a trip and drives 5 hours from town x to town z at a rate of 80 miles per hour . on her way back , venki drives 45 miles per hour and stops in town y which is midway between town x and town z . how many hours does it take venki to drive from town z to town y ?", + "Output Program": [ + "n0 = 5.0\nn1 = 80.0\nn2 = 45.0\nt0 = n0 * n1\nt1 = t0 / 2.0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "4.444444444444445" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 28 m at the rate of rs . 1.50 a meter ?", + "Output Program": [ + "import math\nn0 = 28.0\nn1 = 1.5\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "131.94689145077132" + ], + "split": "train" + }, + { + "Input": "truck x is 14 miles ahead of truck y , which is traveling the same direction along the same route as truck x . if truck x is traveling at an average speed of 57 miles per hour and truck y is traveling at an average speed of 63 miles per hour , how long will it take truck y to overtake and drive 4 miles ahead of truck x ?", + "Output Program": [ + "n0 = 14.0\nn1 = 57.0\nn2 = 63.0\nn3 = 4.0\nt0 = n0 + n3\nt1 = n2 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a can finish a piece of work in 4 days . b can do it in 12 days . they work together for two days and then a goes away . in how many days will b finish the work ?", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 * 2.0\nt3 = t1 * 2.0\nt4 = t2 + t3\nt5 = 1.0 - t4\nanswer = t5 / t1\nprint(answer)" + ], + "Output Answer": [ + "4.000000000000001" + ], + "split": "train" + }, + { + "Input": "a tank can be filled by pipe a in 5 hours and by pipe b in 8 hours , each pump working on its own . when the tank is full and a drainage hole is open , the water is drained in 20 hours . if initially the tank was empty and someone started the two pumps together but left the drainage hole open , how long does it take for the tank to be filled ?", + "Output Program": [ + "n0 = 5.0\nn1 = 8.0\nn2 = 20.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "3.6363636363636362" + ], + "split": "train" + }, + { + "Input": "express a speed of 720 kmph in meters per second ?", + "Output Program": [ + "n0 = 720.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "200.016" + ], + "split": "train" + }, + { + "Input": "the length of a rectangular plot is 20 mtr more than its breadth . if the cost of fencingthe plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 20.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 - t1\nt3 = t2 / 4.0\nanswer = n0 + t3\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a person travels equal distances with speeds of 3 km / hr , 6 km / hr , 9 km / hr . and takes a total time of 11 minutes . find the total distance ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nn2 = 9.0\nn3 = 11.0\nt0 = n3 / 60.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = 1.0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t0 / t5\nt7 = t6 * 3.0\nanswer = t7 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "899.9999999999998" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 2 hours . due to a leak at the bottom , it takes 4 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "two trains of equal length , running with the speeds of 60 and 40 kmph , take 50 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nn2 = 50.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 * 0.2778\nt3 = t1 * 0.2778\nt4 = 1 / t2\nt5 = n2 * t3\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "10.000000000000002" + ], + "split": "train" + }, + { + "Input": "eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 4 hours to complete the journey . if the distance between city a and city b is 540 kms and city a and city c is 300 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 540.0\nn3 = 300.0\nt0 = n2 / n0\nt1 = n3 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "2.4" + ], + "split": "train" + }, + { + "Input": "kareena , saif , and a puppy start walking down a road . they start at the same time , from the same point , in the same direction . the saif walks at 5 miles / hour kareena at 6 miles / hour . the puppy runs from saif to kareena and back again with a constant speed of 10 miles / hour . the puppy does not slow down on the turn . how far does the puppy travel in 1 hour ?", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 10.0\nn3 = 1.0\n\nanswer = n2 * n3\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a man can row 6 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and back . what is the total distance traveled by the man ?", + "Output Program": [ + "n0 = 6.0\nn1 = 1.2\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "5.760000000000001" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 170 meters long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 170.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "205" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 125 resolutions ?", + "Output Program": [ + "n0 = 22.4\nn1 = 125.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "175.99999999999997" + ], + "split": "train" + }, + { + "Input": "p and q together can do a work in 6 days . if p alone can do it in 15 days . in how many days can q alone do it ?", + "Output Program": [ + "n0 = 6.0\nn1 = 15.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = t2 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a and b can finish a work in 12 days while a alone can do the same work in 24 days . in how many days b alone will complete the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 24.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 250 resolutions ?", + "Output Program": [ + "n0 = 22.4\nn1 = 250.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "351.99999999999994" + ], + "split": "train" + }, + { + "Input": "a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 370 m long platform ?", + "Output Program": [ + "n0 = 36.0\nn1 = 12.0\nn2 = 370.0\nt0 = n0 * 0.2778\nt1 = n1 * t0\nt2 = n2 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "48.997040236781054" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 500 resolutions", + "Output Program": [ + "n0 = 22.4\nn1 = 500.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "703.9999999999999" + ], + "split": "train" + }, + { + "Input": "a 220 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?", + "Output Program": [ + "n0 = 220.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "280.03999999999996" + ], + "split": "train" + }, + { + "Input": "ajay can ride 50 km in 1 hour . in how many hours he can ride 900 km ?", + "Output Program": [ + "n0 = 50.0\nn1 = 1.0\nn2 = 900.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "tim came second in math . when his mother asked him how much he had scored , he answered that he got the sum of the first 7 even numbers . his mother immediately worked out the answer . how much had he scored in math ?", + "Output Program": [ + "n0 = 7.0\nt0 = n0 + 1.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "56" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 80 metres ?", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 80.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "15.99872010239181" + ], + "split": "train" + }, + { + "Input": "a can knit a pair of socks in 3 days . b can knit the same thing in 6 days . if they are knitting together , in how many days will they knit two pairs of socks ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nt3 = t2 / 2.0\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "find the expenditure on digging a well 14 m deep and of 3 m diameter at rs . 16 per cubic meter ?", + "Output Program": [ + "import math\nn0 = 14.0\nn1 = 3.0\nn2 = 16.0\nt0 = n1 / 2.0\nt1 = math.pi * t0**2 * n0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "1583.3626974092558" + ], + "split": "train" + }, + { + "Input": "a jogger running at 9 kmph along side a railway track is 230 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?", + "Output Program": [ + "n0 = 9.0\nn1 = 230.0\nn2 = 120.0\nn3 = 45.0\nt0 = n1 + n2\nt1 = n3 - n0\nt2 = t0 / 1000.0\nt3 = t2 / t1\nt4 = t3 * 60.0\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "if 4 women can color 48 m long cloth in 2 days , then 6 women can color 36 m long cloth in", + "Output Program": [ + "n0 = 4.0\nn1 = 48.0\nn2 = 2.0\nn3 = 6.0\nn4 = 36.0\nt0 = n0 * n2\nt1 = n1 / t0\nt2 = n3 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 5 kmph , what time will he take to cover 60 metres ?", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\nn2 = 60.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "10.799136069114471" + ], + "split": "train" + }, + { + "Input": "david and lewis leave chennai for hyderabad simultaneously at 8 p . m in the night driving in two cars at speeds of 50 mph and 70 mph respectively . as soon as lewis reaches hyderabad he returns back to chennai along the same route and meets david on the way back . if the distance between the two cities is 350 miles , how far from chennai did david and lewis meet ?", + "Output Program": [ + "n0 = 8.0\nn1 = 50.0\nn2 = 70.0\nn3 = 350.0\nt0 = n3 / n2\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "train" + }, + { + "Input": "at tea factory , each employee working the second shift produced 2 / 3 as many widgets as each employee working the first shift . if the first shift has 3 / 4 as many employees , what fraction of the total widgets did the second shift produce ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 3.0\nn3 = 4.0\nt0 = n0 * n3\nt1 = n1 * n1\nt2 = t1 + t0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.47058823529411764" + ], + "split": "train" + }, + { + "Input": "x does a work in 15 days . y does the same work in 45 days . in how many days they together will do the same work ?", + "Output Program": [ + "n0 = 15.0\nn1 = 45.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.25" + ], + "split": "train" + }, + { + "Input": "the speeds of three asteroids were compared . asteroids x - 13 and y - 14 were observed for identical durations , while asteroid z - 15 was observed for 2 seconds longer . during its period of observation , asteroid y - 14 traveled three times the distance x - 13 traveled , and therefore y - 14 was found to be faster than x - 13 by 4000 kilometers per second . asteroid z - 15 had an identical speed as that of x - 13 , but because z - 15 was observed for a longer period , it traveled five times the distance x - 13 traveled during x - 13 ' s inspection . asteroid x - 13 traveled how many kilometers during its observation ?", + "Output Program": [ + "n0 = 13.0\nn1 = 14.0\nn2 = 15.0\nn3 = 2.0\nn4 = 14.0\nn5 = 13.0\nn6 = 14.0\nn7 = 13.0\nn8 = 4000.0\nn9 = 15.0\nn10 = 13.0\nn11 = 15.0\nn12 = 13.0\nn13 = 13.0\nn14 = 13.0\nt0 = n8 / n3\nt1 = 1.0 / n3\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "1000" + ], + "split": "train" + }, + { + "Input": "a train 280 m long can cross an electric pole in 20 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 280.0\nn1 = 20.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "50.400000000000006" + ], + "split": "train" + }, + { + "Input": "the length of a side of a hexagon is 2 inches . what is the perimeter ?", + "Output Program": [ + "n0 = 2.0\nt0 = 2.0 * 3.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "the length of a room is 10 m and width is 4.75 m . what is the cost of paying the floor by slabs at the rate of rs . 900 per sq . metre .", + "Output Program": [ + "n0 = 10.0\nn1 = 4.75\nn2 = 900.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "42750" + ], + "split": "train" + }, + { + "Input": "two stations a and b are 200 km apart on a straight line . one train starts from a at 7 a . m . and travels towards b at 20 kmph . another train starts from b at 8 a . m . and travels towards a at a speed of 25 kmph . at what time will they meet ?", + "Output Program": [ + "n0 = 200.0\nn1 = 7.0\nn2 = 20.0\nn3 = 8.0\nn4 = 25.0\nt0 = n2 + n4\nt1 = n0 - n2\nt2 = t1 / t0\nanswer = n3 + t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 290 m in length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 60.0\nn2 = 290.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "23.998080153587715" + ], + "split": "train" + }, + { + "Input": "45 workers work 8 hours to dig a hole 30 meters deep . how many extra workers should be hired to dig another hole 30 meters deep by working for 6 hours ?", + "Output Program": [ + "n0 = 45.0\nn1 = 8.0\nn2 = 30.0\nn3 = 30.0\nn4 = 6.0\nt0 = n3 / n2\nt1 = n1 / n4\nt2 = n0 * t1\nt3 = t0 * t2\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "if 12 men can reap 120 acres of land in 36 days , how many acres of land can 44 men reap in 54 days ?", + "Output Program": [ + "n0 = 12.0\nn1 = 120.0\nn2 = 36.0\nn3 = 44.0\nn4 = 54.0\nt0 = n3 / n0\nt1 = n4 / n2\nt2 = t0 * t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "660" + ], + "split": "train" + }, + { + "Input": "reb normally drives to work in 45 minutes at an average speed of 40 miles per hour . this week , however , she plans to bike to work along a route that decreases the total distance she usually travels when driving by 20 % . if reb averages between 12 and 16 miles per hour when biking , how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives ?", + "Output Program": [ + "n0 = 45.0\nn1 = 40.0\nn2 = 20.0\nn3 = 12.0\nn4 = 16.0\nt0 = n0 / 60.0\nt1 = 100.0 - n2\nt2 = t1 / 100.0\nt3 = n1 * t0\nt4 = t2 * t3\nt5 = t4 / n3\nt6 = t5 * 60.0\nanswer = t6 - n0\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "train" + }, + { + "Input": "while driving from a - ville to b - town , harriet drove at a constant speed of 95 kilometers per hour . upon arriving in b - town , harriet immediately turned and drove back to a - ville at a constant speed of 155 kilometers per hour . if the entire trip took 5 hours , how many minutes did it take harriet to drive from a - ville to b - town ?", + "Output Program": [ + "n0 = 95.0\nn1 = 155.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = n0 * n2\nt2 = t1 / t0\nt3 = n2 - t2\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "186" + ], + "split": "train" + }, + { + "Input": "if 13 men do a work in 80 days , in how many days will 20 men do it ?", + "Output Program": [ + "n0 = 13.0\nn1 = 80.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "52" + ], + "split": "train" + }, + { + "Input": "two bullet trains of equal lengths take 10 seconds and 20 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 120.0\nt0 = n2 + n2\nt1 = n2 / n0\nt2 = n2 / n1\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "13.333333333333334" + ], + "split": "train" + }, + { + "Input": "sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 288 per week . how much does she earn in dollars per hour ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 288.0\nt0 = n0 * 3.0\nt1 = n1 * 2.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a train is 460 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length", + "Output Program": [ + "n0 = 460.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "train" + }, + { + "Input": "a train 140 m in length crosses a telegraph post in 16 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 140.0\nn1 = 16.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "31.5" + ], + "split": "train" + }, + { + "Input": "a train 500 m long takes 10 sec to cross a man walking at 5 kmph in a direction opposite to that of the train . find the speed of the train ?", + "Output Program": [ + "n0 = 500.0\nn1 = 10.0\nn2 = 5.0\nt0 = n0 / n1\nt1 = t0 / 0.2778\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "174.98560115190784" + ], + "split": "train" + }, + { + "Input": "in what time will a railway train 90 m long moving at the rate of 44 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 90.0\nn1 = 44.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "7.363047319850775" + ], + "split": "train" + }, + { + "Input": "if a man walks at a rate of 5 kmph , he misses a train by 7 minutes . however , if he walks at the rate of 6 kmph , he reaches the station 5 minutes before the arrival of the train . find the distance covered by him to reach the station .", + "Output Program": [ + "n0 = 5.0\nn1 = 7.0\nn2 = 6.0\nn3 = 5.0\nt0 = n1 / 60.0\nt1 = n0 / 60.0\nt2 = n0 * t0\nt3 = n2 * t1\nt4 = t2 + t3\nt5 = t4 + t0\nanswer = n0 * t5\nprint(answer)" + ], + "Output Answer": [ + "6.000000000000001" + ], + "split": "train" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 320 resolutions ?", + "Output Program": [ + "n0 = 22.4\nn1 = 320.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "450.55999999999995" + ], + "split": "train" + }, + { + "Input": "maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 36 kilometers , maxwell ' s walking speed is 2 km / h , and brad ' s running speed is 4 km / h . what is the distance traveled by maxwell when they meet in the middle ?", + "Output Program": [ + "n0 = 36.0\nn1 = 2.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 252 \u00b0 of the circle , what percentage of megatek employees are in manufacturing ?", + "Output Program": [ + "n0 = 252.0\nt0 = 3600.0 / 10.0\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "train" + }, + { + "Input": "in a 100 m race , a beats b by 10 m and c by 13 m . in a race of 180 m , b will beat c by :", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 13.0\nn3 = 180.0\nt0 = n0 - n2\nt1 = n0 - n1\nt2 = n0 / t0\nt3 = t1 / n0\nt4 = t2 * t3\nt5 = 1 / t4\nt6 = n3 * t5\nanswer = n3 - t6\nprint(answer)" + ], + "Output Answer": [ + "6.000000000000028" + ], + "split": "train" + }, + { + "Input": "two cars are traveling in the same direction along the same route . the red car travels at a constant speed of 40 miles per hour , and the black car is traveling at a constant speed of 50 miles per hour . if the red car is 10 miles ahead of the black car , how many hours will it take the black car to overtake the red car ?", + "Output Program": [ + "n0 = 40.0\nn1 = 50.0\nn2 = 10.0\nt0 = n1 - n0\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "in a 200 meter race a beats b by 35 meters in 7 seconds . a ' s time over the cause is ?", + "Output Program": [ + "n0 = 200.0\nn1 = 35.0\nn2 = 7.0\nt0 = n2 / n1\nt1 = n0 * t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "train" + }, + { + "Input": "66 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be :", + "Output Program": [ + "n0 = 66.0\nn1 = 1.0\nt0 = n1 / 2.0\nt1 = t0**min(2.0, 5)\nt2 = t1 * 3.141592653589793\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "84.03380995252074" + ], + "split": "train" + }, + { + "Input": "a person is traveling at 20 km / hr and reached his destiny in 8 hr then find the distance ?", + "Output Program": [ + "n0 = 20.0\nn1 = 8.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "train" + }, + { + "Input": "a train 400 m long can cross an electric pole in 20 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 400.0\nn1 = 20.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "train" + }, + { + "Input": "two diesel trains of length 120 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 120.0\nn1 = 280.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 1000.0\nt3 = t2 / 3600.0\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "two trains start simultaneously from opposite ends of a 180 - km route and travel toward each other on parallel tracks . train x , traveling at a constant rate , completes the 180 - km trip in 5 hours . train y , travelling at a constant rate , completes the 180 - km trip in 4 hours . how many kilometers had train x traveled when it met train y ?", + "Output Program": [ + "n0 = 180.0\nn1 = 180.0\nn2 = 5.0\nn3 = 180.0\nn4 = 4.0\nt0 = n0 / n2\nt1 = n0 / n4\nt2 = t0 + t1\nt3 = n0 / t2\nanswer = t0 * t3\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "how many times hour hand covers full circle in a day ?", + "Output Program": [ + "t0 = 3.0 * 4.0\nt1 = t0 * 2.0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "if the weight of 10 meters long rod is 23.4 kg . what is the weight of 6 meters long rod ?", + "Output Program": [ + "n0 = 10.0\nn1 = 23.4\nn2 = 6.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "14.039999999999997" + ], + "split": "train" + }, + { + "Input": "a man covers a certain distance on bike . had he moved 4 kmph faster , he would have taken 72 minutes less . if he moves slow by 4 kmph , he will take hours more to cover the distance . what is the distance travelled by him ?", + "Output Program": [ + "n0 = 4.0\nn1 = 72.0\nn2 = 4.0\nt0 = n0 + 2.0\nt1 = n0 + 60.0\nt2 = t1 / n0\nt3 = n0 + t2\nt4 = t3 * t2\nt5 = t0 * t4\nanswer = t5 / t3\nprint(answer)" + ], + "Output Answer": [ + "96" + ], + "split": "train" + }, + { + "Input": "a train 3000 m long can cross an electric pole in 120 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 3000.0\nn1 = 120.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "train" + }, + { + "Input": "a can give b 60 meters start and c 120 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 60.0\nn1 = 120.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "63.829787234042556" + ], + "split": "train" + }, + { + "Input": "from an island , it is possible to reach the mainland by either ferry p or ferry q . ferry p travels for 3 hours at 8 kilometers per hour , while ferry q takes a route that is three times longer . if ferry p is slower than ferry q by 1 kilometer per hour , how many hours longer is the journey of ferry q compared with the journey of ferry p ?", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 1.0\nt0 = n1 + n2\nt1 = n0 * n1\nt2 = t1 * 3.0\nt3 = t2 / t0\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "walking with 4 / 5 of my usual speed , i arrive at the bus stop 9 minutes later than normal . how many minutes does it take to walk to the bus stop at my usual speed ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 9.0\nt0 = n1 / n0\nt1 = t0 - 1.0\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "what will be the length of the mini - train , if it crosses a pole in 3 sec while travelling at a speed of 75 kmph ?", + "Output Program": [ + "n0 = 3.0\nn1 = 75.0\nt0 = n1 * 0.2778\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "62.505" + ], + "split": "train" + }, + { + "Input": "a train is moving at 6 / 7 of its usual speed . the train is 30 minutes too late . what is the usual time for the train to complete the journey ?", + "Output Program": [ + "n0 = 6.0\nn1 = 7.0\nn2 = 30.0\nt0 = n0 / n1\nt1 = n2 * t0\nt2 = 1.0 - t0\nt3 = 1 / t2\nt4 = t3 * t1\nanswer = t4 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "2.9999999999999987" + ], + "split": "train" + }, + { + "Input": "a license plate in the country kerrania consists of 4 digits followed by two letters . the letters a , b , and c are used only by government vehicles while the letters d through z are used by non - government vehicles . kerrania ' s intelligence agency has recently captured a message from the country gonzalia indicating that an electronic transmitter has been installed in a kerrania government vehicle with a license plate starting with 79 . if it takes the police 10 minutes to inspect each vehicle , what is the probability that the police will find the transmitter within 3 hours ?", + "Output Program": [ + "n0 = 4.0\nn1 = 79.0\nn2 = 10.0\nn3 = 3.0\nt0 = n3 * 60.0\nt1 = 3.0**min(2.0, 5)\nt2 = n0 - 2.0\nt3 = t0 / n2\nt4 = 10.0**min(t2, 5)\nt5 = t4 * t1\nanswer = t3 / t5\nprint(answer)" + ], + "Output Answer": [ + "0.02" + ], + "split": "train" + }, + { + "Input": "at milk factory , each employee working the second shift produced 2 / 3 as many widgets as each employee working the first shift . if the first shift has 3 / 4 as many employees , what fraction of the total widgets did the second shift produce ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 3.0\nn3 = 4.0\nt0 = n0 / n1\nt1 = n1 * n1\nt2 = n1 * t0\nt3 = n3 * t2\nt4 = t1 + t3\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "0.47058823529411764" + ], + "split": "train" + }, + { + "Input": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 18 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 36.0\nn2 = 18.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops . working together , how long will it take earl and ellen to stuff 120 envelopes", + "Output Program": [ + "n0 = 36.0\nn1 = 120.0\nt0 = 3.0 / 2.0\nt1 = n0 / t0\nt2 = n0 + t1\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 10 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 36.0\nn2 = 10.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a trader sells 78 meters of cloth for rs . 6788 at the profit of rs . 29 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 78.0\nn1 = 6788.0\nn2 = 29.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "58.02564102564102" + ], + "split": "train" + }, + { + "Input": "johnny makes $ 3.25 per hour at his work . if he works 8 hours , how much money will he earn ?", + "Output Program": [ + "n0 = 3.25\nn1 = 8.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "the moon revolves around the earth at a speed of approximately 1.04 kilometers per second . this approximate speed is how many kilometers per hour ?", + "Output Program": [ + "n0 = 1.04\n\nanswer = n0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "3744" + ], + "split": "train" + }, + { + "Input": "two trains , a and b , started simultaneously from opposite ends of a 75 - mile route and traveled toward each other on parallel tracks . train a , traveling at a constant rate , completed the 75 - mile trip in 3 hours ; train b , traveling at a constant rate , completed the 75 - mile trip in 2 hours . how many miles had train a traveled when it met train b ?", + "Output Program": [ + "n0 = 75.0\nn1 = 75.0\nn2 = 3.0\nn3 = 75.0\nn4 = 2.0\nt0 = n2 + n4\nt1 = n4 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "excluding stoppages , the speed of a bus is 75 kmph and including stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 75.0\nn1 = 45.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "train a is 13 miles ahead of train b , which is traveling the same direction along the same route as train a . if train a is traveling at an average speed of 37 miles per hour and train b is traveling at an average speed of 43 miles per hour , how long will it take train b to overtake and drive 17 miles ahead of train a ?", + "Output Program": [ + "n0 = 13.0\nn1 = 37.0\nn2 = 43.0\nn3 = 17.0\nt0 = n0 + n3\nt1 = n2 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "train" + }, + { + "Input": "calculate the time it will take for a full tank of water to become completely empty due to a leak given that the tank could be filled in 10 hours , but due to the leak in its bottom it takes 11 hours to be filled ?", + "Output Program": [ + "n0 = 10.0\nn1 = 11.0\nt0 = n0 * n1\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 - t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "110" + ], + "split": "train" + }, + { + "Input": "pipe a can fill a tank in 12 hours . due to a leak at the bottom , it takes 18 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?", + "Output Program": [ + "n0 = 12.0\nn1 = 18.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "if one and a half women , drink one and a half tea in one and a half minutes . how many tea can 9 women drink in 3 minutes ?", + "Output Program": [ + "n0 = 9.0\nn1 = 3.0\nt0 = 3.0 / 2.0\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "150 metres long yard , 11 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees", + "Output Program": [ + "n0 = 150.0\nn1 = 11.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 150 m long and traveling at 45 km / hr can cross in 30 sec is ?", + "Output Program": [ + "n0 = 150.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "train" + }, + { + "Input": "a train 285 m long , running with a speed of 54 km / hr will pass a tree in", + "Output Program": [ + "n0 = 285.0\nn1 = 54.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "train" + }, + { + "Input": "a man can do a piece of work in 4 days , but with the help of his daughter , he can do it in 3 days . in what time can his daughter do it alone ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "if the lcm of a and b is 72 and their hcf is 6 , what is the product of a & b ?", + "Output Program": [ + "n0 = 72.0\nn1 = 6.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "432" + ], + "split": "train" + }, + { + "Input": "in a 120 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is :", + "Output Program": [ + "n0 = 120.0\nn1 = 56.0\nn2 = 7.0\nt0 = n2 / n1\nt1 = n0 * t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "train" + }, + { + "Input": "a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 500 m long ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 120.0\nn2 = 500.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "170" + ], + "split": "train" + }, + { + "Input": "roja and pooja start moving in the opposite directions from a pole . they are moving at the speeds of 5 km / hr and 3 km / hr respectively . after 4 hours what will be the distance between them ?", + "Output Program": [ + "n0 = 5.0\nn1 = 3.0\nn2 = 4.0\nt0 = n0 + n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "train" + }, + { + "Input": "a policeman noticed a criminal from a distance of 180 km . the criminal starts running and the policeman chases him . the criminal and the policeman run at the rate of 8 km and 9 km per hour respectively . what is the distance between them after 3 minutes ?", + "Output Program": [ + "n0 = 180.0\nn1 = 8.0\nn2 = 9.0\nn3 = 3.0\nt0 = n3 / 60.0\nt1 = t0 * 1000.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "130" + ], + "split": "train" + }, + { + "Input": "a 280 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds . what is the lenght of other train .", + "Output Program": [ + "n0 = 280.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "220.03999999999996" + ], + "split": "train" + }, + { + "Input": "x and y can do a piece of work in 20 days and 12 days respectively . x started the work alone and then after 4 days y joined him till the completion of work . how long did the work last ?", + "Output Program": [ + "n0 = 20.0\nn1 = 12.0\nn2 = 4.0\nt0 = n0 + n1\nt1 = n2 / n0\nt2 = 1.0 - t1\nt3 = n0 * t2\nt4 = n1 * t3\nt5 = t4 / t0\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "p and q can complete a work in 80 days and 48 days respectively . p alone started the work and q joined him after 8 days till the completion of the work . how long did the work last ?", + "Output Program": [ + "n0 = 80.0\nn1 = 48.0\nn2 = 8.0\nt0 = n2 / n0\nt1 = 1 / n0\nt2 = 1 / n1\nt3 = t1 + t2\nt4 = 1.0 - t0\nt5 = t4 / t3\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "train" + }, + { + "Input": "a and b together can complete work in 6 days . a alone starts working and leaves it after working for 3 days completing only half of the work . in how many days it can be completed if the remaining job is undertaken by b ?", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nt0 = n1 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 70 metres ?", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 70.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "13.998880089592832" + ], + "split": "train" + }, + { + "Input": "walking with 4 / 5 of my usual speed , i miss the bus by 4 minutes . what is my usual time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 4.0\nt0 = n1 / n0\nt1 = n2 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "train" + }, + { + "Input": "how many paying stones , each measuring 2 m * 2 m are required to pave a rectangular court yard 30 m long and 18 m board ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 30.0\nn3 = 18.0\nt0 = n2 * n3 # area of rectangle\nt1 = n0 * n1 # area of rectangle\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "135" + ], + "split": "train" + }, + { + "Input": "a man complete a journey in 10 hours . he travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km .", + "Output Program": [ + "n0 = 10.0\nn1 = 21.0\nn2 = 24.0\nt0 = n1 + n2\nt1 = n1 * n2\nt2 = n0 * t1\nt3 = t2 / t0\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "224" + ], + "split": "train" + }, + { + "Input": "if 5 machines can produce 20 units in 10 hours , how long would it take 10 machines to produce 100 units ?", + "Output Program": [ + "n0 = 5.0\nn1 = 20.0\nn2 = 10.0\nn3 = 10.0\nn4 = 100.0\nt0 = n3 / n2\nt1 = t0 / n0\nt2 = n1 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1.00 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?", + "Output Program": [ + "import math\nn0 = 3136.0\nn1 = 3.0\nn2 = 1.0\nn3 = 1.0\nt0 = n3 * 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 * 4.0\nt3 = t2 - t0\nt4 = n2 * t3\nanswer = t4 * n1\nprint(answer)" + ], + "Output Answer": [ + "666" + ], + "split": "train" + }, + { + "Input": "the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 5 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ?", + "Output Program": [ + "n0 = 60.0\nn1 = 5.0\nn2 = 5.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "the inner circumference of a circular race track , 14 m wide , is 440 m . find radius of the outer circle .", + "Output Program": [ + "n0 = 14.0\nn1 = 440.0\nt0 = n1 / 3.141592653589793\nt1 = t0 / 2.0\nanswer = n0 + t1\nprint(answer)" + ], + "Output Answer": [ + "84.02817496043394" + ], + "split": "train" + }, + { + "Input": "find the area , diameter = 13 m .", + "Output Program": [ + "import math\nn0 = 13.0\nt0 = n0 / 2.0\nanswer = math.pi * t0**2\nprint(answer)" + ], + "Output Answer": [ + "132.73228961416876" + ], + "split": "train" + }, + { + "Input": "what is the length of a bridge ( in meters ) , which a train 156 meters long and travelling at 45 km / h can cross in 40 seconds ?", + "Output Program": [ + "n0 = 156.0\nn1 = 45.0\nn2 = 40.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "344.03999999999996" + ], + "split": "train" + }, + { + "Input": "if 10 men can reap 120 acres of land in 15 days , how many acres of land can 20 men reap in 30 days ?", + "Output Program": [ + "n0 = 10.0\nn1 = 120.0\nn2 = 15.0\nn3 = 20.0\nn4 = 30.0\nt0 = n3 / n0\nt1 = n4 / n2\nt2 = t0 * t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "480" + ], + "split": "train" + }, + { + "Input": "the speed of a car is 90 km in the first hour and 75 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 90.0\nn1 = 75.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "82.5" + ], + "split": "train" + }, + { + "Input": "a pump can fill a tank with water in 2 hours . because of a leak , it took 2 1 / 8 hours to fill the tank . the leak can drain all the water of the tank in ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 1.0\nn3 = 8.0\nt0 = n2 / n0\nt1 = n0 * n3\nt2 = n2 + t1\nt3 = t2 / n3\nt4 = 1 / t3\nt5 = t0 - t4\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "33.99999999999999" + ], + "split": "train" + }, + { + "Input": "two buses each 3125 m long are running in opposite directions on parallel roads . their speeds are 40 km / hr and 35 km / hr respectively . find the time taken by the slower bus to pass the driver of the faster one ?", + "Output Program": [ + "n0 = 3125.0\nn1 = 40.0\nn2 = 35.0\nt0 = n1 + n2\nt1 = t0 * 1000.0\nt2 = t1 / 3600.0\nt3 = n0 / t2\nanswer = t3 / 3.0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "if the perimeter of a rectangular garden is 500 m , its length when its breadth is 100 m is ?", + "Output Program": [ + "n0 = 500.0\nn1 = 100.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "train" + }, + { + "Input": "a pump can fill a tank with water in 2 hours . because of a leak , it took 2 1 / 7 hours to fill the tank . the leak can drain all the water of the tank in ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 1.0\nn3 = 7.0\nt0 = n2 / n0\nt1 = n0 * n3\nt2 = n2 + t1\nt3 = t2 / n3\nt4 = 1 / t3\nt5 = t0 - t4\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "30.000000000000007" + ], + "split": "train" + }, + { + "Input": "in a survey of 345 employees , 104 of them are uninsured , 54 work part time , and 12.5 percent of employees who are uninsured work part time . if a person is to be randomly selected from those surveyed , what is the probability that the person will neither work part time nor be uninsured ?", + "Output Program": [ + "n0 = 345.0\nn1 = 104.0\nn2 = 54.0\nn3 = 12.5\nt0 = n1 * n3\nt1 = 1.0 * 100.0\nt2 = t0 / t1\nt3 = n2 - t2\nt4 = n1 + t3\nt5 = n0 - t4\nanswer = t5 / n0\nprint(answer)" + ], + "Output Answer": [ + "0.5797101449275363" + ], + "split": "train" + }, + { + "Input": "two dogsled teams raced across a 300 mile course in wyoming . team a finished the course in 3 fewer hours than team w . if team a ' s average speed was 5 mph greater than team w ' s , what was team w ' s average mph ?", + "Output Program": [ + "n0 = 300.0\nn1 = 3.0\nn2 = 5.0\nt0 = n0 / n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "raja complete a journey in 10 hours . he travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km .", + "Output Program": [ + "n0 = 10.0\nn1 = 21.0\nn2 = 24.0\nt0 = n0 / 2.0\nt1 = n2 * t0\nt2 = n1 * t0\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "train" + }, + { + "Input": "a person travels equal distances with speeds of 2 km / hr , 4 km / hr , 6 km / hr . and takes a total time of 11 minutes . find the total distance ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nn2 = 6.0\nn3 = 11.0\nt0 = n3 / 60.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = 1.0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t0 / t5\nt7 = t6 * 3.0\nanswer = t7 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "train" + }, + { + "Input": "b takes 12 more days than a to finish a task . b and a start this task and a leaves the task 12 days before the task is finished . b completes 60 % of the overall task . how long would b have taken to finish the task if he had worked independently ?", + "Output Program": [ + "n0 = 12.0\nn1 = 12.0\nn2 = 60.0\nt0 = 1.0 + 4.0\nt1 = n0 * 10.0\nt2 = t1 / t0\nanswer = n0 + t2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "train" + }, + { + "Input": "a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 65 percent .", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 65.0\nt0 = n2 / n1\nanswer = t0 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "195" + ], + "split": "train" + }, + { + "Input": "if a tire rotates at 400 revolutions per minute when the car is traveling 96 km / h , what is the circumference of the tire ?", + "Output Program": [ + "n0 = 400.0\nn1 = 96.0\nt0 = 2.0 * 3.0\nt1 = t0 * 10.0\nt2 = n0 * t1\nt3 = n1 / t2\nanswer = t3 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "n a race of 1000 m , a can beat by 100 m , in a race of 800 m , b can beat c by 100 m . by how many meters will a beat c in a race of 600 m ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 100.0\nn2 = 800.0\nn3 = 100.0\nn4 = 600.0\nt0 = n0 - n1\nt1 = n2 - n1\nt2 = n4 * t0\nt3 = t2 / n0\nt4 = t3 * t1\nt5 = t4 / n2\nanswer = n4 - t5\nprint(answer)" + ], + "Output Answer": [ + "127.5" + ], + "split": "train" + }, + { + "Input": "nd the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 14 cm ?", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 14.0\nt0 = n0 + n1\nt1 = n2 * t0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "266" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 kmph and crosses a 230 m long platform in 26 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 230.0\nn2 = 26.0\nt0 = n0 * 0.2778\nt1 = n1 / t0\nt2 = n2 - t1\nanswer = t0 * t2\nprint(answer)" + ], + "Output Answer": [ + "290.04159999999996" + ], + "split": "train" + }, + { + "Input": "how many seconds will a 750 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?", + "Output Program": [ + "n0 = 750.0\nn1 = 63.0\nn2 = 3.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "44.99640028797696" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 24 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 56 km downstream", + "Output Program": [ + "n0 = 24.0\nn1 = 4.0\nn2 = 56.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a alone can do a piece of work in 6 days and b alone in 8 days . a and b undertook to do it for rs . 3200 . with the help of c , they completed the work in 3 days . how much is to be paid to c ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 3200.0\nn3 = 3.0\nt0 = 1 / n3\nt1 = 1 / n1\nt2 = 1 / n0\nt3 = t1 + t2\nt4 = t0 - t3\nt5 = n2 * t4\nanswer = n3 * t5\nprint(answer)" + ], + "Output Answer": [ + "400.0000000000002" + ], + "split": "train" + }, + { + "Input": "a searchlight on top of the watchtower makes 2 revolutions per minute . what is the probability that a man appearing near the tower will stay in the dark for at least 10 seconds ?", + "Output Program": [ + "n0 = 2.0\nn1 = 10.0\nt0 = n1 * 3.0\nt1 = n1 / t0\nanswer = 1.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "0.6666666666666667" + ], + "split": "train" + }, + { + "Input": "the distance from city a to city b is 30 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 30.0\nt0 = n0 / n1\nt1 = n2 / 60.0\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "train" + }, + { + "Input": "if a train , travelling at a speed of 80 kmph , crosses a pole in 5 sec , then the length of train is ?", + "Output Program": [ + "n0 = 80.0\nn1 = 5.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "111.12" + ], + "split": "train" + }, + { + "Input": "a boy wants to make cuboids of dimension 5 m , 6 m and 7 m from small cubes of . 03 m 3 . later he realized he can make same cuboids by making it hollow . then it takes some cubes less . what is the number of the cubes to be removed ?", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 7.0\nn3 = 3.0\nn4 = 3.0\nt0 = n3 / 100.0\nt1 = t0**(1 / 3)\nt2 = t1 * 2.0\nt3 = n0 - t2\nt4 = n1 - t2\nt5 = n2 - t2\nt6 = t3 * t4\nt7 = t6 * t5\nanswer = t7 / t0\nprint(answer)" + ], + "Output Answer": [ + "5007.224931391597" + ], + "split": "train" + }, + { + "Input": "a goods train runs at the speed of 72 km / hr and crosses a 250 m long platform in 22 sec . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 250.0\nn2 = 22.0\nt0 = n0 / 3600.0\nt1 = t0 * 1000.0\nt2 = n2 * t1\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "190" + ], + "split": "train" + }, + { + "Input": "how much time will a train of length 250 m moving at a speed of 72 kmph take to cross another train of length 300 m , moving at 36 kmph in the same direction ?", + "Output Program": [ + "n0 = 250.0\nn1 = 72.0\nn2 = 300.0\nn3 = 36.0\nt0 = n0 + n2\nt1 = n1 - n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "54.995600351971845" + ], + "split": "train" + }, + { + "Input": "a train 110 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "5.999520038396929" + ], + "split": "train" + }, + { + "Input": "length of a rectangular plot is 10 mtr more than its breadth . if the cost of fencing the plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 10.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is traveling at 60 kmph observes that a goods train , traveling in opposite direction , takes 12 seconds to pass him . if the goods train is 300 m long , find its speed", + "Output Program": [ + "n0 = 60.0\nn1 = 12.0\nn2 = 300.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 6 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ?", + "Output Program": [ + "n0 = 1.0\nn1 = 6.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "3.5" + ], + "split": "train" + }, + { + "Input": "the radius of a semi circle is 2.1 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 2.1\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "10.797344572538567" + ], + "split": "train" + }, + { + "Input": "trains a and b start simultaneously from stations 200 miles apart , and travel the same route toward each other on adjacent parallel tracks . if train a and train b travel at a constant rate of 20 miles per hour and 20 miles per hour , respectively , how many miles will train a have traveled when the trains pass each other , to the nearest mile ?", + "Output Program": [ + "n0 = 200.0\nn1 = 20.0\nn2 = 20.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "a person walks at a speed of 4 km / hr and runs at a speed of 8 km / hr . how many hours will the person require to cover a distance of 8 km , if the person completes half of the distance by walking and the other half by running ?", + "Output Program": [ + "n0 = 4.0\nn1 = 8.0\nn2 = 8.0\nt0 = n2 / 2.0\nt1 = t0 / n0\nt2 = t0 / n1\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "train" + }, + { + "Input": "lionel left his house and walked towards walt ' s house , 48 miles away . two hours later , walt left his house and ran towards lionel ' s house . if lionel ' s speed was 2 miles per hour and walt ' s 6 miles per hour , how many miles had lionel walked when he met walt ?", + "Output Program": [ + "n0 = 48.0\nn1 = 2.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n1 * 2.0\nt2 = n0 - t1\nt3 = t2 / t0\nt4 = t3 + 2.0\nanswer = n1 * t4\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "if 4 men working 10 hours a day earn rs . 600 per week , then 9 men working 6 hours a day will earn how much per week ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nn2 = 600.0\nn3 = 9.0\nn4 = 6.0\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "810" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 12 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 12.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "675" + ], + "split": "train" + }, + { + "Input": "in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 75 questions and secures 125 marks , the number of questions he attempts correctly , is :", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 75.0\nn3 = 125.0\nt0 = n2 + n3\nt1 = n0 + n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "train" + }, + { + "Input": "two trains of length 120 m and 300 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 120.0\nn1 = 300.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "20.99832013438925" + ], + "split": "train" + }, + { + "Input": "two trains of length 100 m and 220 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 100.0\nn1 = 220.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "15.99872010239181" + ], + "split": "train" + }, + { + "Input": "if a truck is traveling at a constant rate of 36 kilometers per hour , how many seconds will it take the truck to travel a distance of 600 meters ? ( 1 kilometer = 1000 meters )", + "Output Program": [ + "n0 = 36.0\nn1 = 600.0\nn2 = 1.0\nn3 = 1000.0\nt0 = n1 / n3\nt1 = t0 / n0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a is twice as fast as b . if b alone can do a piece of work in 30 days , in what time can a and b together complete the work ?", + "Output Program": [ + "n0 = 30.0\nt0 = 1.0 / n0\nt1 = t0 * 2.0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "johnny makes $ 6.75 per hour at his work . if he works 10 hours , how much money will he earn ?", + "Output Program": [ + "n0 = 6.75\nn1 = 10.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "67.5" + ], + "split": "train" + }, + { + "Input": "a take twice as much time as b or thrice as much time to finish a piece of work . working together , they can finish the work in 4 days . b can do the work alone in ?", + "Output Program": [ + "n0 = 4.0\nt0 = 1.0 + 2.0\nt1 = t0 + 3.0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "train" + }, + { + "Input": "two trains 110 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 110.0\nn1 = 160.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "9.719222462203025" + ], + "split": "train" + }, + { + "Input": "nd the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 15 cm ?", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 15.0\nt0 = n0 + n1\nt1 = n2 * t0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "285" + ], + "split": "train" + }, + { + "Input": "a 300 m long train crosses a platform in 36 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 36.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "train" + }, + { + "Input": "a train 330 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 330.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "train" + }, + { + "Input": "on a map , 1.5 inches represent 24 miles . how many miles approximately is the distance if you measured 47 centimeters assuming that 1 - inch is 2.54 centimeters ?", + "Output Program": [ + "n0 = 1.5\nn1 = 24.0\nn2 = 47.0\nn3 = 1.0\nn4 = 2.54\nt0 = n2 / n4\nt1 = n1 / n0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "296.06299212598424" + ], + "split": "train" + }, + { + "Input": "a train 800 m long can cross an electric pole in 20 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 800.0\nn1 = 20.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "144" + ], + "split": "train" + }, + { + "Input": "suresh can complete a job in 15 hours . ashutosh alone can complete the same job in 10 hours . suresh works for 9 hours and then the remaining job is completed by ashutosh . how many hours will it take ashutosh to complete the remaining job alone ?", + "Output Program": [ + "n0 = 15.0\nn1 = 10.0\nn2 = 9.0\nt0 = n2 / n0\nt1 = 1.0 - t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "rahul can do a work in 3 days while rajesh can do the same work in 2 days . both of them finish the work together and get $ 105 . what is the share of rahul ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 105.0\nt0 = n0 + n1\nt1 = n1 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "train" + }, + { + "Input": "a can do a piece of work in 4 hours ; b and c together can do it in 2 hours , while a and c together can do it in 2 hours . how long will b alone take to do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "train" + }, + { + "Input": "rahul can do a work in 3 days while rajesh can do the same work in 2 days . both of them finish the work together and get $ 250 . what is the share of rahul ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 250.0\nt0 = n0 + n1\nt1 = n1 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "train" + }, + { + "Input": "two friends decide to get together ; so they start riding bikes towards each other . they plan to meet halfway . each is riding at 6 mph . they live 36 miles apart . one of them has a pet carrier pigeon and it starts flying the instant the friends start traveling . the pigeon flies back and forth at 15 mph between the 2 friends until the friends meet . how many miles does the pigeon travel ?", + "Output Program": [ + "n0 = 6.0\nn1 = 36.0\nn2 = 15.0\nn3 = 2.0\nt0 = n1 / n3\nt1 = t0 / n0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is traveling at 30 kmph observes that a goods train , traveling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed . ?", + "Output Program": [ + "n0 = 30.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "82" + ], + "split": "train" + }, + { + "Input": "a man can ride on motorcycle at 50 kmph upward road and 100 kmph downward road . he takes 12 hours to ride motorcycle uphill from lower point a to upper point b and back to a . what is the total distance traveled by him in 12 hours ? he must return back to base point a in remaining time .", + "Output Program": [ + "n0 = 50.0\nn1 = 100.0\nn2 = 12.0\nn3 = 12.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = t1 * 2.0\nt3 = t2 / t0\nanswer = n2 * t3\nprint(answer)" + ], + "Output Answer": [ + "800" + ], + "split": "train" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 32 m at the rate of rs . 1.50 a meter ?", + "Output Program": [ + "import math\nn0 = 32.0\nn1 = 1.5\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "150.79644737231007" + ], + "split": "train" + }, + { + "Input": "bob wants to run a mile in the same time as his sister . if bob \u2019 s time for a mile is currently 10 minutes 40 seconds and his sister \u2019 s time is currently 5 minutes 20 seconds , by what percent does bob need to improve his time in order run a mile in the same time as his sister ?", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nn2 = 5.0\nn3 = 20.0\nt0 = n0 * n0\nt1 = n2 * 60.0\nt2 = n0 * 60.0\nt3 = n3 + t1\nt4 = n1 + t2\nt5 = t3 / t4\nt6 = 1.0 - t5\nanswer = t0 * t6\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "train" + }, + { + "Input": "car x began traveling at an average speed of 35 miles per hour . after 48 minutes , car y began traveling at an average speed of 39 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?", + "Output Program": [ + "n0 = 35.0\nn1 = 48.0\nn2 = 39.0\nt0 = n1 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "245" + ], + "split": "train" + }, + { + "Input": "it takes nine minutes to load a certain video on a cellphone , and fifteen seconds to load that same video on a laptop . if the two devices were connected so that they operated in concert at their respective rates , how many seconds would it take them to load the video , rounded to the nearest hundredth ?", + "Output Program": [ + "t0 = 2.0 + 3.0\nt1 = 3.0 * 4.0\nt2 = 4.0 * 4.0\nt3 = 100.0 * 100.0\nt4 = t0 + 4.0\nt5 = t1 + 3.0\nt6 = t2 * 3.0\nt7 = 1 / t5\nt8 = t4 * 60.0\nt9 = t6 - 2.0\nt10 = t9 / t3\nt11 = 1 / t8\nt12 = t11 + t7\nt13 = 1 / t12\nanswer = t13 - t10\nprint(answer)" + ], + "Output Answer": [ + "14.589994594594595" + ], + "split": "train" + }, + { + "Input": "lcm of two numbers is 7700 and hcf is 11 . if one number is 308 then other number is", + "Output Program": [ + "n0 = 7700.0\nn1 = 11.0\nn2 = 308.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "275" + ], + "split": "train" + }, + { + "Input": "two consultants can type up a report in 12.5 hours and edit it in 7.5 hours . if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone , how many w hours will it take if jim types the report and mary edits it immediately after he is done ?", + "Output Program": [ + "n0 = 12.5\nn1 = 7.5\nn2 = 30.0\nn3 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n2\nt2 = 1.0 / n1\nt3 = 1.0 / n3\nt4 = t0 - t1\nt5 = t2 - t3\nt6 = 1 / t4\nt7 = 1 / t5\nanswer = t6 + t7\nprint(answer)" + ], + "Output Answer": [ + "41.42857142857143" + ], + "split": "train" + }, + { + "Input": "if an object travels at three feet per second , how many feet does it travel in one hour ?", + "Output Program": [ + "t0 = 3.0 * 60.0\nanswer = t0 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "10800" + ], + "split": "train" + }, + { + "Input": "a fill pipe can fill 1 / 2 of cistern in 20 minutes . in how many minutes , it can fill 1 / 2 of the cistern ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 20.0\nn3 = 1.0\nn4 = 2.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "train" + }, + { + "Input": "a bus travels from town a to town b . if the bus ' s speed is 50 km / hr , it will arrive in town b 42 min later than scheduled . if the bus increases its speed by 509509 m / sec , it will arrive in town b 30 min earlier than scheduled . find : a ) the distance between the two towns ; b ) the bus ' s scheduled time of arrival in b ; c ) the speed of the bus when it ' s on schedule .", + "Output Program": [ + "n0 = 50.0\nn1 = 42.0\nn2 = 509509.0\nn3 = 30.0\nt0 = n3 / 60.0\nt1 = n1 / 60.0\nt2 = n2 * 3.6\nt3 = t0 * t2\nt4 = n0 * t1\nt5 = t2 - n0\nt6 = t3 - t4\nt7 = t6 / t5\nt8 = t7 + t1\nanswer = n0 * t8\nprint(answer)" + ], + "Output Answer": [ + "59.99972739897623" + ], + "split": "train" + }, + { + "Input": "tom wants to buy items costing $ 25.35 , $ 70.69 , and $ 85.96 . he earns $ 6.50 an hour doing odd jobs . if ten percent of his income is put aside for other purposes , how many hours must he work to earn the money he needs for his purchases ? round your answer to the nearest whole hour .", + "Output Program": [ + "import math\nn0 = 25.35\nn1 = 70.69\nn2 = 85.96\nn3 = 6.5\nt0 = n0 + n1\nt1 = 1.0 / 10.0\nt2 = n2 + t0\nt3 = 1.0 - t1\nt4 = n3 * t3\nt5 = t2 / t4\nanswer = math.floor(t5)\nprint(answer)" + ], + "Output Answer": [ + "31" + ], + "split": "train" + }, + { + "Input": "a 600 meter long train crosses a signal post in 40 seconds . how long will it take to cross a 1.8 kilometer long bridge , at the same speed ?", + "Output Program": [ + "n0 = 600.0\nn1 = 40.0\nn2 = 1.8\nt0 = n2 * 1000.0\nt1 = n0 / n1\nt2 = t0 / t1\nanswer = t2 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "two trains are moving in the same direction at 90 kmph and 36 kmph . the faster train crosses a man in the slower train in 29 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 90.0\nn1 = 36.0\nn2 = 29.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "435" + ], + "split": "train" + }, + { + "Input": "a boat can travel with a speed of 16 km / hr in still water . if the rate of stream is 5 km / hr , then find the time taken by the boat to cover distance of 63 km downstream .", + "Output Program": [ + "n0 = 16.0\nn1 = 5.0\nn2 = 63.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "train" + }, + { + "Input": "a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 600 m long ?", + "Output Program": [ + "n0 = 1200.0\nn1 = 120.0\nn2 = 600.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "train" + }, + { + "Input": "if a car had traveled 40 kmh faster than it actually did , the trip would have lasted 30 minutes less . if the car went exactly 120 km , at what speed did it travel ?", + "Output Program": [ + "import math\nn0 = 40.0\nn1 = 30.0\nn2 = 120.0\nt0 = n0 * n2\nt1 = n0**min(2.0, 5)\nt2 = t0 * 2.0\nt3 = t2 * 4.0\nt4 = t3 + t1\nt5 = math.sqrt(max(0, t4))\nt6 = t5 - n0\nanswer = t6 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "train" + }, + { + "Input": "a 270 m long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 second . what is the length of the other train ?", + "Output Program": [ + "n0 = 270.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 / 3.6\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "230" + ], + "split": "train" + }, + { + "Input": "two trains of equal length , running with the speeds of 60 and 40 kmph , take 40 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nn2 = 40.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 * 0.2778\nt3 = t1 * 0.2778\nt4 = 1 / t2\nt5 = n2 * t3\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "8.000000000000002" + ], + "split": "train" + }, + { + "Input": "how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 390 m in length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 60.0\nn2 = 390.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "29.997600191984642" + ], + "split": "train" + }, + { + "Input": "a alone can finish a work in 10 days which b alone can finish in 15 days . if they work together and finish it , then out of a total wages of rs . 3000 , a will get :", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 3000.0\nt0 = n1 * 2.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = t1 / t3\nanswer = n2 * t4\nprint(answer)" + ], + "Output Answer": [ + "1800" + ], + "split": "train" + }, + { + "Input": "if an object travels 90 feet in 3 seconds , what is the object \u2019 s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 90.0\nn1 = 3.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 / n3\nt1 = n2 / 3600.0\nt2 = n1 * t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "20.454545454545453" + ], + "split": "train" + }, + { + "Input": "the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 1 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?", + "Output Program": [ + "import math\nn0 = 3136.0\nn1 = 3.0\nn2 = 1.0\nn3 = 1.0\nt0 = n3 * 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 * 4.0\nt3 = t2 - t0\nt4 = n2 * t3\nanswer = t4 * n1\nprint(answer)" + ], + "Output Answer": [ + "666" + ], + "split": "train" + }, + { + "Input": "jayes can eat 25 marshmallows is 20 minutes . dylan can eat 25 in one hour . in how much time will the two eat 150 marshmallows ?", + "Output Program": [ + "n0 = 25.0\nn1 = 20.0\nn2 = 25.0\nn3 = 150.0\n\nanswer = n1 / n1\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "train" + }, + { + "Input": "in 130 m race , a covers the distance in 36 seconds and b in 45 seconds . in this race a beats b by :", + "Output Program": [ + "n0 = 130.0\nn1 = 36.0\nn2 = 45.0\nt0 = n0 / n2\nt1 = n2 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "in a dairy farm , 26 cows eat 26 bags of husk in 26 days . in how many days one cow will eat one bag of husk ?", + "Output Program": [ + "n0 = 26.0\nn1 = 26.0\nn2 = 26.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "1000 men have provisions for 17 days . if 500 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 17.0\nn2 = 500.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "11.333333333333334" + ], + "split": "train" + }, + { + "Input": "rahul can do a work in 3 days while rajesh can do the same work in 2 days . both of them finish the work together and get $ 150 . what is the share of rahul ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 150.0\nt0 = n0 + n1\nt1 = n1 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "a boat m leaves shore a and at the same time boat b leaves shore b . they move across the river . they met at 500 yards away from a and after that they met 300 yards away from shore b without halting at shores . find the distance between the shore a & b", + "Output Program": [ + "n0 = 500.0\nn1 = 300.0\n\nanswer = n1 * 4.0\nprint(answer)" + ], + "Output Answer": [ + "1200" + ], + "split": "train" + }, + { + "Input": "ajay can ride 50 km in 1 hour . in how many hours he can ride 1250 km ?", + "Output Program": [ + "n0 = 50.0\nn1 = 1.0\nn2 = 1250.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "train" + }, + { + "Input": "a boat covers a certain distance downstream in 1 hour , while it comes back in 11 \u00e2 \u0081 \u201e 2 hours . if the speed of the stream be 3 kmph , what is the speed of the boat in still water ?", + "Output Program": [ + "n0 = 1.0\nn1 = 11.0\nn2 = 2.0\nn3 = 3.0\nt0 = 3.0 / 2.0\nt1 = 3.0 * t0\nt2 = t0 - n0\nt3 = 3.0 + t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "train" + }, + { + "Input": "walking at 5 / 6 of her normal speed , a worker is 12 minutes later than usual in reaching her office . the usual time ( in minutes ) taken by her to cover the distance between her home and her office is", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 12.0\n\nanswer = n0 * n2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "train" + }, + { + "Input": "if 12 lions can kill 12 deers in 12 minutes how long will it take 100 lions to kill 100 deers ?", + "Output Program": [ + "n0 = 12.0\nn1 = 12.0\nn2 = 12.0\nn3 = 100.0\nn4 = 100.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a man cycling along the road noticed that every 18 minutes a bus overtakes him and every 6 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?", + "Output Program": [ + "n0 = 18.0\nn1 = 6.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 / t1\nt3 = n0 / t2\nt4 = n0 - t3\nanswer = t4 / 1.0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "train" + }, + { + "Input": "the hiker walking at a constant rate of 4 miles per hour is passed by a cyclist traveling in the same direction along the same path at 15 miles per hour . the cyclist stops to wait for the hiker 5 minutes after passing her , while the hiker continues to walk at her constant rate , how many minutes must the cyclist wait until the hiker catches up ?", + "Output Program": [ + "n0 = 4.0\nn1 = 15.0\nn2 = 5.0\nt0 = n2 / 60.0\nt1 = n1 - n0\nt2 = t0 * t1\nt3 = t2 / n0\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "13.75" + ], + "split": "train" + }, + { + "Input": "if 8 people take an hour to complete a piece of work , then how long should 16 people will take to complete the same piece of work ?", + "Output Program": [ + "n0 = 8.0\nn1 = 16.0\nt0 = n0 / n1\nanswer = t0 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "the length of the bridge , which a train 150 meters long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 150.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "train" + }, + { + "Input": "1000 men have provisions for 18 days . if 400 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 18.0\nn2 = 400.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "12.857142857142858" + ], + "split": "train" + }, + { + "Input": "a , b and c can do a piece of work in 30 days , 30 days and 40 days respectively . they began the work together but c left 4 days before the completion of the work . in how many days was the work completed ?", + "Output Program": [ + "n0 = 30.0\nn1 = 30.0\nn2 = 40.0\nn3 = 4.0\nt0 = 2.0 + 3.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = 2.0 * n3\nt4 = t1 + t2\nt5 = t0 * t3\nt6 = 1.0 / t5\nt7 = n3 * t4\nt8 = t4 + t6\nt9 = 1.0 - t7\nt10 = t9 / t8\nanswer = n3 + t10\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a car traveled from san diego to san francisco at an average speed of 45 miles per hour . if the journey back took twice as long , what was the average speed of the trip ?", + "Output Program": [ + "n0 = 45.0\nt0 = 1 / n0\nt1 = t0 / 2.0\nt2 = t1 + t0\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "a 400 meter long train crosses a man standing on the platform in 10 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 400.0\nn1 = 10.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "144" + ], + "split": "train" + }, + { + "Input": "a can finish a work in 18 days and b can do the same work in half the time taken by a . then , working together , what part of the same work they can finish in a day ?", + "Output Program": [ + "n0 = 18.0\nt0 = n0 / 2.0\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "0.16666666666666666" + ], + "split": "train" + }, + { + "Input": "10 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 2 women and 10 children take to complete the work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 7.0\nn2 = 10.0\nn3 = 14.0\nn4 = 2.0\nn5 = 10.0\nt0 = n0 * n1\nt1 = n0 * n3\nt2 = n4 / t0\nt3 = n0 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "train" + }, + { + "Input": "a train travels at the rate of 10 miles / hr for the first hour of a trip , at 20 miles / hr for the second hour , at 30 miles / hr for the third hour and so on . how many hours will it take the train to complete a 660 - mile journey ? assume that the train makes no intermediate stops .", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 30.0\nn3 = 660.0\nt0 = n0 + n1\nt1 = n2 + t0\nanswer = n3 / t1\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "train" + }, + { + "Input": "an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 27 metre of cloth ?", + "Output Program": [ + "n0 = 0.128\nn1 = 27.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "210.9375" + ], + "split": "train" + }, + { + "Input": "a cistern which could be filled in 9 hours takes 1 hour more to be filled owing to a leak in its bottom . if the cistern is full , in what time will the leak empty it ?", + "Output Program": [ + "n0 = 9.0\nn1 = 1.0\nt0 = 1.0 / n0\nt1 = 1.0 / 10.0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "90.0000000000001" + ], + "split": "train" + }, + { + "Input": "starting from his house one day , a student walk at a speed of 2 kmph and reaches his school 10 minutes late . next he increased his speed by 1 kmph and reaches the school 10 minutes early . how far is the school from his house ?", + "Output Program": [ + "n0 = 2.0\nn1 = 10.0\nn2 = 1.0\nn3 = 10.0\nt0 = n0 + n2\nt1 = n1 + n1\nt2 = t1 / 60.0\nt3 = n0 * t2\nanswer = t0 * t3\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "train" + }, + { + "Input": "a train 440 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 440.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "23.998080153587715" + ], + "split": "train" + }, + { + "Input": "a man starts walking at 3 pm . ha walks at a speed of 4 km / hr on level ground and at a speed of 3 km / hr on uphill , 6 km / hr downhill and then 4 km / hr on level ground to reach home at 9 pm . what is the distance covered on one way", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 3.0\nn3 = 6.0\nn4 = 4.0\nn5 = 9.0\nt0 = n3 / 2.0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "train" + }, + { + "Input": "a train 175 m long running at 36 kmph crosses a platform in 40 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 175.0\nn1 = 36.0\nn2 = 40.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "225.03199999999998" + ], + "split": "train" + }, + { + "Input": "a zeebra chases a tiger 5 hours after the tiger runs . zeebra takes 6 hours to reach the tiger . if the average speed of the zeebra is 55 kmph , what s the average speed of the tiger ?", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 55.0\nt0 = n0 + n1\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "train" + }, + { + "Input": "find the area of trapezium whose parallel sides are 26 cm and 18 cm long , and the distance between them is 15 cm .", + "Output Program": [ + "n0 = 26.0\nn1 = 18.0\nn2 = 15.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "330" + ], + "split": "train" + }, + { + "Input": "a train 160 m long passes a man , running at 6 kmph in the direction opposite to that of the train , in 6 seconds . the speed of the train is", + "Output Program": [ + "n0 = 160.0\nn1 = 6.0\nn2 = 6.0\nt0 = n1 * 0.2778\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n1\nanswer = t3 / 0.2778\nprint(answer)" + ], + "Output Answer": [ + "89.99232061435085" + ], + "split": "train" + }, + { + "Input": "if 9 engines consume 24 metric tonnes of coal , when each is working 8 hoursday , bow much coal will be required for 8 engines , each running 13 hours a day , it being given that 3 engines of former type consume as much as 4 engines of latter type ?", + "Output Program": [ + "n0 = 9.0\nn1 = 24.0\nn2 = 8.0\nn3 = 8.0\nn4 = 13.0\nn5 = 3.0\nn6 = 4.0\nt0 = n1 * n5\nt1 = n0 * n2\nt2 = t0 / t1\nt3 = t2 * 2.0\nanswer = n4 * t3\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "train" + }, + { + "Input": "a man sitting in a train which is traveling at 55 kmph observes that a goods train , traveling in opposite direction , takes 10 seconds to pass him . if the goods train is 320 m long , find its speed", + "Output Program": [ + "n0 = 55.0\nn1 = 10.0\nn2 = 320.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "60.2" + ], + "split": "train" + }, + { + "Input": "in a kilometer race , a beats b by 48 meters or 12 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 48.0\nn1 = 12.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "238" + ], + "split": "dev" + }, + { + "Input": "a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , while a and c together can do it 2 hours . how long will b alone take to do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nn2 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "dev" + }, + { + "Input": "during a car trip , maria stopped to rest after she traveled 1 / 2 of the total distance to her destination . she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination , and then she drove the remaining 135 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 1.0\nn3 = 4.0\nn4 = 135.0\nt0 = n0 / n1\nt1 = n0 / n3\nt2 = t0 * t1\nt3 = t0 + t2\nt4 = n0 - t3\nanswer = n4 / t4\nprint(answer)" + ], + "Output Answer": [ + "360" + ], + "split": "dev" + }, + { + "Input": "a and b go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph . after how much time will they meet for the first time at the starting point ?", + "Output Program": [ + "n0 = 600.0\nn1 = 36.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n1 * 0.2778\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "119.99040076793858" + ], + "split": "dev" + }, + { + "Input": "a certain car can travel 32 kilometers on a liter of fuel . if the fuel tank \u2019 s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed , how fast is the car moving , in miles per hour ? ( 1 gallon = 3.8 liters ; 1 mile = 1.6 kilometers )", + "Output Program": [ + "n0 = 32.0\nn1 = 3.9\nn2 = 5.7\nn3 = 1.0\nn4 = 3.8\nn5 = 1.0\nn6 = 1.6\nt0 = n0 * n4\nt1 = t0 / n6\nt2 = n1 * t1\nanswer = t2 / n2\nprint(answer)" + ], + "Output Answer": [ + "51.999999999999986" + ], + "split": "dev" + }, + { + "Input": "a woman complete a journey in 20 hours . she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km .", + "Output Program": [ + "n0 = 20.0\nn1 = 21.0\nn2 = 24.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = t1 / t0\nt3 = n1 * t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "448" + ], + "split": "dev" + }, + { + "Input": "you need to unlock a secret code using following clues , can you ? here you have the clues : clue - 1 : 0 7 9 ( one of the numbers is correct and is placed in its correct position ) clue - 2 : 0 3 2 ( nothing is correct ) clue - 3 : 1 0 8 ( two numbers are correct but not placed at its correct position . ) clue - 4 : 9 2 6 ( one number is correct but not placed at its correct position . ) clue - 5 : 6 7 8 ( one number is correct but not placed at its correct position . )", + "Output Program": [ + "n0 = 1.0\nn1 = 0.0\nn2 = 7.0\nn3 = 9.0\nn4 = 2.0\nn5 = 0.0\nn6 = 3.0\nn7 = 2.0\nn8 = 3.0\nn9 = 1.0\nn10 = 0.0\nn11 = 8.0\nn12 = 4.0\nn13 = 9.0\nn14 = 2.0\nn15 = 6.0\nn16 = 5.0\nn17 = 6.0\nn18 = 7.0\nn19 = 8.0\nt0 = n11 * 100.0\nt1 = n0 * 10.0\nt2 = t0 + t1\nanswer = n3 + t2\nprint(answer)" + ], + "Output Answer": [ + "819" + ], + "split": "dev" + }, + { + "Input": "a train is 320 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 320.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "36.8" + ], + "split": "dev" + }, + { + "Input": "excluding stoppages , the speed of a train is 60 kmph and including stoppages it is 40 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "in a 200 m race , a beats b by 20 m and c by 38 m . in a race of 600 m b will beat c by", + "Output Program": [ + "n0 = 200.0\nn1 = 20.0\nn2 = 38.0\nn3 = 600.0\nt0 = n0 - n2\nt1 = n0 - n1\nt2 = n0 / t0\nt3 = t1 / n0\nt4 = t2 * t3\nt5 = 1 / t4\nt6 = n3 * t5\nanswer = n3 - t6\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "dev" + }, + { + "Input": "in what time will a train 120 m long cross an electric pole , it its speed be 121 km / hr ?", + "Output Program": [ + "n0 = 120.0\nn1 = 121.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.569962336897346" + ], + "split": "dev" + }, + { + "Input": "together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many q hours would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ?", + "Output Program": [ + "n0 = 15.0\nn1 = 7.0\nn2 = 4.0\nn3 = 8.0\nn4 = 15.0\nn5 = 11.0\nt0 = 1.0 / n2\nt1 = 1.0 / n5\nt2 = t0 + t1\nt3 = t2 / n0\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "dev" + }, + { + "Input": "6 women can do 75 units of work in 8 days by working 5 hrs / day . in how many days can 4 women do 30 units of work by working 8 hrs / day ?", + "Output Program": [ + "n0 = 6.0\nn1 = 75.0\nn2 = 8.0\nn3 = 5.0\nn4 = 4.0\nn5 = 30.0\nn6 = 8.0\nt0 = n0 * n2\nt1 = n2 * n4\nt2 = t1 / n5\nt3 = n3 * t0\nt4 = t3 / n1\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 18 minutes is :", + "Output Program": [ + "n0 = 20.0\nn1 = 5.0\nn2 = 18.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "dev" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 2000 resolutions ?", + "Output Program": [ + "n0 = 22.4\nn1 = 2000.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "2815.9999999999995" + ], + "split": "dev" + }, + { + "Input": "earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops . working together , how long will it take earl and ellen to stuff 300 envelopes", + "Output Program": [ + "n0 = 36.0\nn1 = 300.0\nt0 = 3.0 / 2.0\nt1 = n0 / t0\nt2 = n0 + t1\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "vehicle x is 22 miles ahead of vehicle y , which is traveling the same direction along the same route as vehicle x . if vehicle x is traveling at an average speed of 36 miles per hour and vehicle y is traveling at an average speed of 45 miles per hour , how long will it take vehicle y to overtake and drive 23 miles ahead of vehicle x ?", + "Output Program": [ + "n0 = 22.0\nn1 = 36.0\nn2 = 45.0\nn3 = 23.0\nt0 = n0 + n3\nt1 = n2 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "a take twice as much time as b or thrice as much time to finish a piece of work . working together , they can finish the work in 7 days . b can do the work alone in ?", + "Output Program": [ + "n0 = 7.0\nt0 = 1.0 + 2.0\nt1 = t0 + 3.0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "dev" + }, + { + "Input": "if an object travels 300 feet in 6 seconds , what is the object ' s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 300.0\nn1 = 6.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 / n3\nt1 = n2 / 3600.0\nt2 = n1 * t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "34.09090909090909" + ], + "split": "dev" + }, + { + "Input": "a train of length 250 m crosses a bridge of length 150 m in 20 seconds . what is the speed of train ?", + "Output Program": [ + "n0 = 250.0\nn1 = 150.0\nn2 = 20.0\nt0 = n0 + n1\nt1 = t0 / n2\nanswer = t1 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "dev" + }, + { + "Input": "tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 7 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ?", + "Output Program": [ + "n0 = 1.0\nn1 = 7.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "anand finishes a work in 7 days , bittu finishes the same job in 8 days and chandu in 6 days . they take turns to finish the work . anand on the first day , bittu on the second and chandu on the third day and then anand again and so on . on which day will the work get over ?", + "Output Program": [ + "import math\nn0 = 7.0\nn1 = 8.0\nn2 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = 1 / t4\nt6 = t5 * 3.0\nt7 = math.floor(t6)\nanswer = t7 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "dev" + }, + { + "Input": "if the product of two numbers is 45276 and their h . c . f . is 22 , find their l . c . m .", + "Output Program": [ + "n0 = 45276.0\nn1 = 22.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "2058" + ], + "split": "dev" + }, + { + "Input": "a is twice as good a workman as b and they took 11 days together to do the work b alone can do it in .", + "Output Program": [ + "n0 = 11.0\nt0 = 1.0 + 2.0\nt1 = n0 * t0\nt2 = t1 / 2.0\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "dev" + }, + { + "Input": "an aeroplane covers a certain distance of 420 kmph in 6 hours . to cover the same distance in 4 2 / 3 hours , it must travel at a speed of", + "Output Program": [ + "n0 = 420.0\nn1 = 6.0\nn2 = 4.0\nn3 = 2.0\nn4 = 3.0\nt0 = n0 * n1\nt1 = n2 * n4\nt2 = n3 + t1\nt3 = t2 / n4\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "540" + ], + "split": "dev" + }, + { + "Input": "two diagonals of a rhombus are 72 cm and 30 cm respectively . what is its perimeter ?", + "Output Program": [ + "import math\nn0 = 72.0\nn1 = 30.0\nt0 = n0 / 2.0\nt1 = n1 / 2.0\nt2 = t0**min(2.0, 5)\nt3 = t1**min(2.0, 5)\nt4 = t2 + t3\nt5 = math.sqrt(max(0, t4))\nanswer = 4 * t5\nprint(answer)" + ], + "Output Answer": [ + "156" + ], + "split": "dev" + }, + { + "Input": "a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 24 kilometers per hour . the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate . how many minutes must the cyclist wait until the hiker catches up ?", + "Output Program": [ + "n0 = 4.0\nn1 = 24.0\nn2 = 5.0\nt0 = n2 / 60.0\nt1 = n1 * t0\nt2 = n0 * t0\nt3 = t1 - t2\nt4 = t3 / n0\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "dev" + }, + { + "Input": "it costs $ 5 for the first 1 / 3 hour to use the laundry machine at the laundromat . after the first \u00bc hour it costs $ 12 per hour . if a certain customer uses the laundry machine for 2 hours and 30 minutes , how much will it cost him ?", + "Output Program": [ + "n0 = 5.0\nn1 = 1.0\nn2 = 3.0\nn3 = 12.0\nn4 = 2.0\nn5 = 30.0\nt0 = n3 / 60.0\nt1 = n5 / n2\nt2 = n3 * n4\nt3 = n0 + t2\nt4 = t0 * t1\nanswer = t3 + t4\nprint(answer)" + ], + "Output Answer": [ + "31" + ], + "split": "dev" + }, + { + "Input": "if 8 workers can build 8 cars in 8 days , then how many days would it take 4 workers to build 4 cars ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 8.0\nn3 = 4.0\nn4 = 4.0\nt0 = n3 / n3\nt1 = n0 * n0\nt2 = t1 / n0\nanswer = t2 * t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "if 50 apprentices can finish a job in 4 hours , and 30 journeymen can finish the same job in 8 hours , how much of the job should be completed by 10 apprentices and 15 journeymen in one hour ?", + "Output Program": [ + "n0 = 50.0\nn1 = 4.0\nn2 = 30.0\nn3 = 8.0\nn4 = 10.0\nn5 = 15.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t0 / n4\nt3 = t1 / n5\nt4 = 1.0 / t2\nt5 = 1.0 / t3\nanswer = t4 + t5\nprint(answer)" + ], + "Output Answer": [ + "0.1125" + ], + "split": "dev" + }, + { + "Input": "two ships are sailing in the sea on the two sides of a lighthouse . the angle of elevation of the top of the lighthouse is observed from the ships are 30 \u00ba and 45 \u00ba respectively . if the lighthouse is 100 m high , the distance between the two ships is :", + "Output Program": [ + "import math\nn0 = 30.0\nn1 = 45.0\nn2 = 100.0\nt0 = math.sqrt(max(0, 3.0))\nt1 = t0 + 1.0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "273.2050807568877" + ], + "split": "dev" + }, + { + "Input": "how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8.5 m x 6 m x 22.5 cm ?", + "Output Program": [ + "n0 = 25.0\nn1 = 11.25\nn2 = 6.0\nn3 = 8.5\nn4 = 6.0\nn5 = 22.5\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "6800" + ], + "split": "dev" + }, + { + "Input": "a 270 metres long bullet train running at the speed of 120 kmph crosses another bullet train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other bullet train ?", + "Output Program": [ + "n0 = 270.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = n0 / n3\nt2 = t0 * 0.2778\nt3 = t2 - t1\nanswer = n3 * t3\nprint(answer)" + ], + "Output Answer": [ + "230.03999999999996" + ], + "split": "dev" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 18 seconds . find the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "dev" + }, + { + "Input": "stacy and heather are 40 miles apart and walk towards each other along the same route . stacy walks at constant rate that is 1 mile per hour faster than heather ' s constant rate of 5 miles / hour . if heather starts her journey 24 minutes after stacy , how far from the original destination has heather walked when the two meet ?", + "Output Program": [ + "n0 = 40.0\nn1 = 1.0\nn2 = 5.0\nn3 = 24.0\nt0 = n1 + n2\nt1 = n2 + t0\nt2 = t0 / 60.0\nt3 = n3 * t2\nt4 = n0 - t3\nt5 = t4 / t1\nanswer = n2 * t5\nprint(answer)" + ], + "Output Answer": [ + "17.090909090909093" + ], + "split": "dev" + }, + { + "Input": "the cross section of a canal is trapezium in shape . the canal is 12 m wide at the top and 8 m wide at the bottom . if the area of the cross section is 840 sq . m , the depth of the canal is :", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 840.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "dev" + }, + { + "Input": "275 metres long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees", + "Output Program": [ + "n0 = 275.0\nn1 = 26.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "dev" + }, + { + "Input": "the length of the bridge , which a train 155 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 155.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "220" + ], + "split": "dev" + }, + { + "Input": "a rectangular grassy plot 110 m . by 65 m has a gravel path 2.5 m wide all round it on the inside . find the cost of gravelling the path at 40 paise per sq . metre", + "Output Program": [ + "n0 = 110.0\nn1 = 65.0\nn2 = 2.5\nn3 = 40.0\nt0 = n0 * n1\nt1 = n2 * 2.0\nt2 = n0 - t1\nt3 = n1 - t1\nt4 = t2 * t3\nt5 = t0 - t4\nt6 = n3 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "340" + ], + "split": "dev" + }, + { + "Input": "fred and sam are standing 55 miles apart and they start walking in a straight line toward each other at the same time . if fred walks at a constant speed of 6 miles per hour and sam walks at a constant speed of 5 miles per hour , how many miles has sam walked when they meet ?", + "Output Program": [ + "n0 = 55.0\nn1 = 6.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "dev" + }, + { + "Input": "if the speed of a man is 63 km per hour , then what is the distance traveled by him in 25 seconds ?", + "Output Program": [ + "n0 = 63.0\nn1 = 25.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "437.535" + ], + "split": "dev" + }, + { + "Input": "a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route . they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up , but the time each route will take is the same . if they will go up the mountain at a rate of 7 miles per day and it will take them two days , how many miles long is the route down the mountain ?", + "Output Program": [ + "n0 = 7.0\nt0 = 3.0 / 2.0\nt1 = n0 * 2.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "dev" + }, + { + "Input": "ajay can ride 50 km in 1 hour . in how many hours he can ride 1500 km ?", + "Output Program": [ + "n0 = 50.0\nn1 = 1.0\nn2 = 1500.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "dev" + }, + { + "Input": "a woman swims downstream 45 km and upstream 15 km taking 3 hours each time , what is the speed of the woman in still water ?", + "Output Program": [ + "n0 = 45.0\nn1 = 15.0\nn2 = 3.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "jack and jill are marathon runners . jack can finish a marathon ( 40 km ) in 4.5 hours and jill can run a marathon in 4.0 hours . what is the ratio of their average running speed ? ( jack : jill )", + "Output Program": [ + "n0 = 40.0\nn1 = 4.5\nn2 = 4.0\nt0 = n0 / n1\nt1 = n0 / n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.888888888888889" + ], + "split": "dev" + }, + { + "Input": "how many seconds will a train 100 meters long take to cross a bridge 140 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 140.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "23.998080153587715" + ], + "split": "dev" + }, + { + "Input": "while working alone at their constant rates , computer x can process 240 files in 12 hours , and computer y can process 240 files in 6 hours . if all files processed by these computers are the same size , how many hours would it take the two computers , working at the same time at their respective constant rates , to process a total of 240 files ?", + "Output Program": [ + "n0 = 240.0\nn1 = 12.0\nn2 = 240.0\nn3 = 6.0\nn4 = 240.0\nt0 = n0 / n1\nt1 = n0 / n3\nt2 = t0 + t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "the lcm of two numbers is 2310 and hcf is 55 . if one of the numbers is 210 . then what is the other number ?", + "Output Program": [ + "n0 = 2310.0\nn1 = 55.0\nn2 = 210.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "605" + ], + "split": "dev" + }, + { + "Input": "a car traveled from san diego to san francisco at an average speed of 54 miles per hour . if the journey back took twice as long , what was the average speed of the trip ?", + "Output Program": [ + "n0 = 54.0\nt0 = 1 / n0\nt1 = t0 / 2.0\nt2 = t1 + t0\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "dev" + }, + { + "Input": "a runner runs the 40 miles from marathon to athens at a constant speed . halfway through the run she injures her foot , and continues to run at half her previous speed . if the second half takes her 8 hours longer than the first half , how many hours did it take the runner to run the second half ?", + "Output Program": [ + "n0 = 40.0\nn1 = 8.0\nt0 = n0 / 2.0\nt1 = t0 / n1\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "dev" + }, + { + "Input": "a pump will fill a tank in 3 hours . because of a leak in the tank , it took 3 hours 30 min to fill the tank . in what time the leak can drain out all the water of the tank and will make tank empty ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 30.0\nt0 = n0 * 60.0\nt1 = n2 + t0\nt2 = t1 / n2\nt3 = t2 * t0\nanswer = t3 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "dev" + }, + { + "Input": "maxwell leaves his home and walks toward brad ' s house . one hour later , brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 14 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the total time it takes maxwell before he meets up with brad ?", + "Output Program": [ + "n0 = 14.0\nn1 = 4.0\nn2 = 6.0\nt0 = n0 + n2\nt1 = n1 + n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "dev" + }, + { + "Input": "lloyd normally works 7.5 hours per day and earns $ 3.50 per hour . for each hour he works in excess of 7.5 hours on a given day , he is paid 1.5 times his regular rate . if lloyd works 10.5 hours on a given day , how much does he earn for that day ?", + "Output Program": [ + "n0 = 7.5\nn1 = 3.5\nn2 = 7.5\nn3 = 1.5\nn4 = 10.5\nt0 = n0 * n1\nt1 = n4 - n0\nt2 = n3 * t1\nt3 = n1 * t2\nanswer = t0 + t3\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "dev" + }, + { + "Input": "tammy climbed a mountain in two days . she spent a total of 14 hours climbing the mountain . on the second day , she walked at an average speed that was half a kilometer per hour faster , but 2 hours less than what she walked on the first day . if the total distance she climbed during the two days is 52 kilometers , how many e kilometers per hour did tammy walk on the second day ?", + "Output Program": [ + "n0 = 14.0\nn1 = 2.0\nn2 = 52.0\nt0 = n0 + n1\nt1 = 1.0 / 2.0\nt2 = t0 / 2.0\nt3 = t2 - n1\nt4 = t2 + t3\nt5 = t3 / 2.0\nt6 = n2 - t5\nt7 = t6 / t4\nanswer = t7 + t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 462 the other is", + "Output Program": [ + "n0 = 2310.0\nn1 = 30.0\nn2 = 462.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "dev" + }, + { + "Input": "patanjali walked for 3 days . she walked 18 miles on the first day , walking 3 miles per hour . on the second day she walked for one less hour but she walked one mile per hour , faster than on the first day . on the third day she walked the same number of hours as on the first day , but at the same speed as on the second day . how many miles in total did she walk ?", + "Output Program": [ + "n0 = 3.0\nn1 = 18.0\nn2 = 3.0\nt0 = 2.0 + 3.0\nt1 = n0 + 1.0\nt2 = t0 + 1.0\nt3 = t0 * t1\nt4 = n1 + t3\nt5 = t2 * t1\nanswer = t4 + t5\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "dev" + }, + { + "Input": "the current in a river is 10 mph . a boat can travel 50 mph in still water . how far up the river can the boat travel if the round trip is to take 5 hours ?", + "Output Program": [ + "n0 = 10.0\nn1 = 50.0\nn2 = 5.0\nt0 = n0 + n1\nt1 = n1 - n0\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n2 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "dev" + }, + { + "Input": "there is food for 760 men for 22 days . how many more men should join after two days so that the same food may last for 5 days more ?", + "Output Program": [ + "n0 = 760.0\nn1 = 22.0\nn2 = 5.0\nt0 = n1 - 2.0\nt1 = n0 * t0\nt2 = t1 / n2\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "2280" + ], + "split": "dev" + }, + { + "Input": "63 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 63.0\nn1 = 12.0\nn2 = 5.0\nn3 = 30.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "dev" + }, + { + "Input": "two trains are approaching each other at 60 mph each . the length of each train is 1 / 6 miles . when the two locomotives ( engines ) meet , how many seconds will it take for them to pass each other completely ?", + "Output Program": [ + "n0 = 60.0\nn1 = 1.0\nn2 = 6.0\nt0 = n1 / n2\nt1 = n0 * 2.0\nt2 = t0 * 2.0\nt3 = t2 / t1\nt4 = n0 * t3\nanswer = n0 * t4\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "a courtyard is 25 meter long and 15 meter board is to be paved with bricks of dimensions 20 cm by 10 cm . the total number of bricks required is ?", + "Output Program": [ + "n0 = 25.0\nn1 = 15.0\nn2 = 20.0\nn3 = 10.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n2 * n3\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "18750" + ], + "split": "dev" + }, + { + "Input": "the height of the wall is 6 times its width and length of the wall is 7 times its height . if the volume of the wall be 86436 cu . m . its width is", + "Output Program": [ + "n0 = 6.0\nn1 = 7.0\nn2 = 86436.0\nt0 = 1.0 / 3.0\nt1 = n0 * n1\nt2 = n0 * t1\nt3 = n2 / t2\nanswer = t3**min(t0, 5)\nprint(answer)" + ], + "Output Answer": [ + "6.999999999999999" + ], + "split": "dev" + }, + { + "Input": "the radius of a wheel is 20.4 cm . what is the distance covered by the wheel in making 400 resolutions ?", + "Output Program": [ + "n0 = 20.4\nn1 = 400.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "512.9142857142857" + ], + "split": "dev" + }, + { + "Input": "two trains of length 180 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 180.0\nn1 = 280.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "22.998160147188226" + ], + "split": "dev" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 7 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 7.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "116.66666666666667" + ], + "split": "dev" + }, + { + "Input": "two trains 111 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 40 km and the other at the rate of 50 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 111.0\nn1 = 165.0\nn2 = 40.0\nn3 = 50.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.039116870650348" + ], + "split": "dev" + }, + { + "Input": "a and b walk around a circular track . they start at 8 a . m from the same point in the opposite directions . a and b walk at a speed of 2 rounds per hour and 3 rounds per hour respectively . how many times shall they cross each other before 9 a . m", + "Output Program": [ + "n0 = 8.0\nn1 = 2.0\nn2 = 3.0\nn3 = 9.0\n\nanswer = n1 + n2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "10 men and 15 women together can complete a work in 6 days . it takes 100 days for one man alone to complete the same work . how many days will be required for one woman alone to complete the same work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 6.0\nn3 = 100.0\nt0 = n3 * 1.0\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = t0 - t1\nt4 = t0 / t3\nanswer = t4 * t2\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "dev" + }, + { + "Input": "a piece of cloth cost rs 35 . if the length of the piece would have been 4 m longer and each meter cost re 1 less , the cost would have remained unchanged . how long is the piece ?", + "Output Program": [ + "import math\nn0 = 35.0\nn1 = 4.0\nn2 = 1.0\nt0 = n1 * n1\nt1 = n1 * 2.0\nt2 = n0 * t0\nt3 = t2 + t0\nt4 = math.sqrt(max(0, t3))\nt5 = n1 + t4\nt6 = t5 / t1\nanswer = n0 / t6\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "pipe p can fill a tank in 3 hours , pipe q in 9 hours and pipe r in 18 hours . if all the pipes are open , in how many hours will the tank be filled ?", + "Output Program": [ + "n0 = 3.0\nn1 = 9.0\nn2 = 18.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "dev" + }, + { + "Input": "if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 25 minutes ?", + "Output Program": [ + "n0 = 15.0\nn1 = 25.0\nt0 = 60.0 / n0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "dev" + }, + { + "Input": "a monkey ascends a greased pole 10 meters high . he ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute . if this pattern continues until he climbs the pole , in how many minutes would he reach at the top of the pole ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 1.0\nt0 = 2.0 * 4.0\nt1 = n1 * t0\nanswer = n2 + t1\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "dev" + }, + { + "Input": "if i walk at 4 km / h , i miss the bus by 10 minutes . if i walk at 5 km / h , i reach 5 minutes before the arrival of the bus . how far i walk to reach the bus stand ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nn2 = 5.0\nn3 = 5.0\nt0 = n1 + n3\nt1 = n0 * n2\nt2 = n2 - n0\nt3 = t1 / t2\nt4 = t0 / 60.0\nanswer = t3 * t4\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "a jogger running at 9 kmph along side a railway track is 260 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?", + "Output Program": [ + "n0 = 9.0\nn1 = 260.0\nn2 = 120.0\nn3 = 45.0\nt0 = n1 + n2\nt1 = n3 - n0\nt2 = t0 / 1000.0\nt3 = t2 / t1\nt4 = t3 * 60.0\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "38" + ], + "split": "dev" + }, + { + "Input": "if the wheel is 14 cm then the number of revolutions to cover a distance of 1408 cm is ?", + "Output Program": [ + "n0 = 14.0\nn1 = 1408.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "16.014558689717926" + ], + "split": "dev" + }, + { + "Input": "jisha walked for 3 days . she walked 18 miles on the first day , walking 3 miles per hour . on the second day she walked for one less hour but she walked one mile per hour , faster than on the first day . on the third day she walked the same number of hours as on the first day , but at the same speed as on the second day . how many miles in total did she walk ?", + "Output Program": [ + "n0 = 3.0\nn1 = 18.0\nn2 = 3.0\nt0 = n0 + 1.0\nt1 = n1 / n0\nt2 = t0 * t1\nt3 = t1 - 1.0\nt4 = t0 * t3\nt5 = n1 + t4\nanswer = t5 + t2\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "dev" + }, + { + "Input": "on a map the distance between two mountains is 312 inches . the actual distance between the mountains is 136 km . ram is camped at a location that on the map is 28 inch from the base of the mountain . how many km is he from the base of the mountain ?", + "Output Program": [ + "n0 = 312.0\nn1 = 136.0\nn2 = 28.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "12.205128205128204" + ], + "split": "dev" + }, + { + "Input": "the current of a stream runs at the rate of 4 kmph . a boat goes 6 km and back to the starting point in 2 hours , then find the speed of the boat in still water ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 2.0\nt0 = n0**min(n2, 5)\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "cathy and jim begin running at the same time and they start at the same place on a straight path . cathy runs at 10 miles per hour , and jim runs at 6 miles per hour . after 18 minutes , cathy stops to stretch . if it takes cathy 27 minutes to stretch and jim continues to run during this time , how many minutes will it take cathy to catch up to jim ?", + "Output Program": [ + "n0 = 10.0\nn1 = 6.0\nn2 = 18.0\nn3 = 27.0\nt0 = n2 + n3\nt1 = n2 / 60.0\nt2 = n0 - n1\nt3 = t0 / 60.0\nt4 = t2 / 60.0\nt5 = n0 * t1\nt6 = n1 * t3\nt7 = t6 - t5\nanswer = t7 / t4\nprint(answer)" + ], + "Output Answer": [ + "22.5" + ], + "split": "dev" + }, + { + "Input": "the speed of a car is 65 km in the first hour and 45 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 65.0\nn1 = 45.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "dev" + }, + { + "Input": "a 600 meter long train crosses a signal post in 40 seconds . how long will it take to cross a 7.2 kilometer long bridge , at the same speed ?", + "Output Program": [ + "n0 = 600.0\nn1 = 40.0\nn2 = 7.2\nt0 = n2 * 1000.0\nt1 = n0 / n1\nt2 = t0 / t1\nanswer = t2 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 100 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", + "Output Program": [ + "n0 = 2.0\nn1 = 1.0\nn2 = 1.0\nn3 = 100.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "94.73684210526315" + ], + "split": "dev" + }, + { + "Input": "a can do a piece of work in 5 hours ; b and c together can do it in 3 hours , while a and c together can do it in 2 hours . how long will b alone take to do it ?", + "Output Program": [ + "n0 = 5.0\nn1 = 3.0\nn2 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "30.000000000000007" + ], + "split": "dev" + }, + { + "Input": "lally ' s internet provider offers unlimited traffic which costs $ 0.5 per day charged off at 12 a . m . the service is discontinued when client ' s debt exceeds $ 5 . if today in the morning lally makes a payment of $ 7 , for how many days , including today , will she be connected to the internet without any additional payments , given her initial balance was $ 0 ?", + "Output Program": [ + "n0 = 0.5\nn1 = 12.0\nn2 = 5.0\nn3 = 7.0\nn4 = 0.0\nt0 = n1 * n2\nt1 = n0 * n3\nt2 = t1 * 10.0\nanswer = t0 - t2\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "dev" + }, + { + "Input": "edward earns $ 7.00 per hour for the first 40 hours he works per week , and twice this rate for overtime . if michael earned $ 210 last week , how many hours did he work ?", + "Output Program": [ + "n0 = 7.0\nn1 = 40.0\nn2 = 210.0\nt0 = n0 * n1\nt1 = n0 * 2.0\nt2 = t0 - n2\nt3 = t2 / t1\nanswer = n1 + t3\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "dev" + }, + { + "Input": "18 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 5 women and 10 children take to complete the work ?", + "Output Program": [ + "n0 = 18.0\nn1 = 7.0\nn2 = 10.0\nn3 = 14.0\nn4 = 5.0\nn5 = 10.0\nt0 = n0 * n1\nt1 = n0 * n3\nt2 = n4 / t0\nt3 = n0 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "if 3 workers collect 48 kg of cotton in 4 days , how many kg of cotton will 9 workers collect in 2 days ?", + "Output Program": [ + "n0 = 3.0\nn1 = 48.0\nn2 = 4.0\nn3 = 9.0\nn4 = 2.0\nt0 = n1 / n0\nt1 = t0 / n2\nt2 = n3 * t1\nanswer = n4 * t2\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "dev" + }, + { + "Input": "triathlete dan runs along a 4 - mile stretch of river and then swims back along the same route . if dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour , what is his average rate for the entire trip in miles per minute ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nn2 = 6.0\nt0 = n0 + n0\nt1 = n0 / n2\nt2 = n0 / n1\nt3 = t1 * 60.0\nt4 = t2 * 60.0\nt5 = t3 + t4\nanswer = t0 / t5\nprint(answer)" + ], + "Output Answer": [ + "0.125" + ], + "split": "dev" + }, + { + "Input": "if 10 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days ?", + "Output Program": [ + "n0 = 10.0\nn1 = 80.0\nn2 = 24.0\nn3 = 36.0\nn4 = 30.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t1 / n1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "360" + ], + "split": "dev" + }, + { + "Input": "a man can row a distance of 5 km in 60 min with the help of the tide . the direction of the tide reverses with the same speed . now he travels a further 20 km in 10 hours . how much time he would have saved if the direction of tide has not changed ?", + "Output Program": [ + "n0 = 5.0\nn1 = 60.0\nn2 = 20.0\nn3 = 10.0\nt0 = n2 / n0\nanswer = n3 - t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "dev" + }, + { + "Input": "express a speed of 90 kmph in meters per second ?", + "Output Program": [ + "n0 = 90.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "25.002" + ], + "split": "dev" + }, + { + "Input": "together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many w hours would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ?", + "Output Program": [ + "n0 = 15.0\nn1 = 7.0\nn2 = 4.0\nn3 = 8.0\nn4 = 15.0\nn5 = 11.0\nt0 = 1.0 / n2\nt1 = 1.0 / n5\nt2 = t0 + t1\nt3 = t2 / n0\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "dev" + }, + { + "Input": "a man traveled from the village to the post - office at the rate of 25 kmph and walked back at the rate of 4 kmph . if the whole journey took 5 hours 48 minutes , find the distance of the post - office from the village ?", + "Output Program": [ + "n0 = 25.0\nn1 = 4.0\nn2 = 5.0\nn3 = 48.0\nt0 = n0 + n1\nt1 = n0 * 2.0\nt2 = t0 / n2\nt3 = n1 * t1\nt4 = t3 / t0\nt5 = t4 * t2\nanswer = t5 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "19.999999999999996" + ], + "split": "dev" + }, + { + "Input": "trapezoid jklm in the x - y plane has coordinates j = ( \u2013 2 , \u2013 4 ) , k = ( \u2013 2 , 1 ) , l = ( 6 , 7 ) , and m = ( 6 , \u2013 4 ) . what is its perimeter ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nn2 = 2.0\nn3 = 1.0\nn4 = 6.0\nn5 = 7.0\nn6 = 6.0\nn7 = 4.0\nt0 = n1 + n3\nt1 = n0 + n4\nt2 = n1 + n5\nt3 = t0 + 10.0\nt4 = t3 + t1\nanswer = t4 + t2\nprint(answer)" + ], + "Output Answer": [ + "34" + ], + "split": "dev" + }, + { + "Input": "a train 50 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train . find the speed of the train ?", + "Output Program": [ + "n0 = 50.0\nn1 = 6.0\nn2 = 5.0\nt0 = n0 / n1\nt1 = t0 / 0.2778\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "24.997600191984645" + ], + "split": "dev" + }, + { + "Input": "a train crosses a bridge of length 200 m in 10 seconds and a lamp post on the bridge in 5 seconds . what is the length of the train in metres ?", + "Output Program": [ + "n0 = 200.0\nn1 = 10.0\nn2 = 5.0\nt0 = n1 - n2\nt1 = n0 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "dev" + }, + { + "Input": "the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 385 the other is", + "Output Program": [ + "n0 = 2310.0\nn1 = 30.0\nn2 = 385.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "dev" + }, + { + "Input": "a goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 24 seconds . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 250.0\nn2 = 24.0\nt0 = n0 * 0.2778\nt1 = n1 / t0\nt2 = n2 - t1\nanswer = t0 * t2\nprint(answer)" + ], + "Output Answer": [ + "230.03840000000002" + ], + "split": "dev" + }, + { + "Input": "20 men can dig a tunnel in 30 days . if after 10 days , 20 more men are deployed to dig the tunnel , how many more days it will take to dig the whole tunnel ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 10.0\nn3 = 20.0\nt0 = 1.0 / n1\nt1 = n2 * t0\nt2 = t0 * 2.0\nt3 = 1.0 - t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "10.000000000000002" + ], + "split": "dev" + }, + { + "Input": "a team p of 20 engineers can complete work or task in 32 days . another team q of 16 engineers can complete same task in 30 days . then the ratio of working capacity of 1 member of p to the 1 member of q is a . 3 : 2", + "Output Program": [ + "n0 = 20.0\nn1 = 32.0\nn2 = 16.0\nn3 = 30.0\nn4 = 1.0\nn5 = 1.0\nn6 = 3.0\nn7 = 2.0\nt0 = n6 * 10.0\nanswer = t0 + 4.0\nprint(answer)" + ], + "Output Answer": [ + "34" + ], + "split": "dev" + }, + { + "Input": "a can give b 100 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 100.0\nn1 = 200.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "111.11111111111109" + ], + "split": "dev" + }, + { + "Input": "excluding stoppages , the speed of the bus is 54 kmph and including stoppages , it is 36 kmph . for how many minutes does the bus stop per hr", + "Output Program": [ + "n0 = 54.0\nn1 = 36.0\nt0 = n1 / n0\nt1 = 1.0 - t0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "20.000000000000004" + ], + "split": "dev" + }, + { + "Input": "a 150 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 150.0\nn1 = 39.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "175" + ], + "split": "dev" + }, + { + "Input": "a person can swim in still water at 4 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 10 km ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 10.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "a is twice as good a work man as b and together they finish a piece of work in 36 days . the number of days taken by b alone to finish the work is :", + "Output Program": [ + "n0 = 36.0\nt0 = 1.0 + 2.0\nt1 = 1 / n0\nt2 = t1 / t0\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "108" + ], + "split": "dev" + }, + { + "Input": "how many seconds will a train 150 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 150.0\nn1 = 150.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "29.997600191984642" + ], + "split": "dev" + }, + { + "Input": "the speed of the boat in still water in 12 kmph . it can travel downstream through 48 kms in 3 hrs . in what time would it cover the same distance upstream ?", + "Output Program": [ + "n0 = 12.0\nn1 = 48.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = t0 - n0\nt2 = n0 - t1\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "dev" + }, + { + "Input": "how many seconds will a 500 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 500.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "29.997600191984642" + ], + "split": "dev" + }, + { + "Input": "pipe a can fill a tank in 6 minutes and pipe b cam empty it in 24 minutes . if both the pipes are opened together after how many minutes should pipe b be closed , so that the tank is filled in 30 minutes ?", + "Output Program": [ + "n0 = 6.0\nn1 = 24.0\nn2 = 30.0\nt0 = n2 / n0\nt1 = t0 - 1.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "96" + ], + "split": "dev" + }, + { + "Input": "13 buckets of water fill a tank when the capacity of each bucket is 42 litres . how many buckets will be needed to fill the same tank , if the capacity of each bucket is 6 litres ?", + "Output Program": [ + "n0 = 13.0\nn1 = 42.0\nn2 = 6.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "91" + ], + "split": "dev" + }, + { + "Input": "two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 22 seconds . the ratio of their speeds is ?", + "Output Program": [ + "n0 = 27.0\nn1 = 17.0\nn2 = 22.0\nt0 = n0 - n2\nt1 = n2 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "dev" + }, + { + "Input": "two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 30 hr . if all pipes are opened simultaneously , then the cistern will be filled in", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nn2 = 30.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "6.666666666666666" + ], + "split": "dev" + }, + { + "Input": "two cyclist start from the same places in opposite directions . one is going towards north at 30 kmph and the other is going towards south 40 kmph . what time will they take to be 50 km apart ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 50.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.7142857142857143" + ], + "split": "dev" + }, + { + "Input": "a can do a work in 15 days b in 14 days and c in 16 days . if they work on it together then in how many days required to complete the work ?", + "Output Program": [ + "n0 = 15.0\nn1 = 14.0\nn2 = 16.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n2 * t1\nt4 = n0 * t2\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "4.977777777777778" + ], + "split": "dev" + }, + { + "Input": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 9 meters , and the interior of tank b has a height of 9 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?", + "Output Program": [ + "n0 = 10.0\nn1 = 9.0\nn2 = 9.0\nn3 = 10.0\nt0 = n0 / n2\nt1 = n1 / n3\nt2 = t1**min(2.0, 5)\nt3 = t0 * t2\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "90.00000000000001" + ], + "split": "dev" + }, + { + "Input": "a cistern can be filled by a tap in 6 hours while it can be emptied by another tap in 12 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 6.0\nn1 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "dev" + }, + { + "Input": "a and b go around a circular track of length 200 m on a cycle at speeds of 36 kmph and 72 kmph . after how much time will they meet for the first time at the starting point ?", + "Output Program": [ + "n0 = 200.0\nn1 = 36.0\nn2 = 72.0\nt0 = n2 * 0.2778\nt1 = n1 * 0.2778\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "19.99840012798976" + ], + "split": "dev" + }, + { + "Input": "the length of a train and that of a platform are equal . if with a speed of 36 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?", + "Output Program": [ + "n0 = 36.0\nt0 = 60.0 / 1.0\nt1 = n0 * 1000.0\nt2 = t1 / t0\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "dev" + }, + { + "Input": "a group of men decided to do a work in 55 days , but 15 of them became absent . if the rest of the group did the work in 60 days , find the original number of men ?", + "Output Program": [ + "n0 = 55.0\nn1 = 15.0\nn2 = 60.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "dev" + }, + { + "Input": "two trains are moving in the same direction at 108 kmph and 54 kmph . the faster train crosses a man in the slower train in 24 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 108.0\nn1 = 54.0\nn2 = 24.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "360" + ], + "split": "dev" + }, + { + "Input": "a train 250 m long , running with a speed of 50 km / hr will pass a tree in ?", + "Output Program": [ + "n0 = 250.0\nn1 = 50.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "a motorcyclist started riding at highway marker a , drove 120 miles to highway marker b , and then , without pausing , continued to highway marker c , where she stopped . the average speed of the motorcyclist , over the course of the entire trip , was 45 miles per hour . if the ride from marker a to marker b lasted 3 times as many hours as the rest of the ride , and the distance from marker b to marker c was half of the distance from marker a to marker b , what was the average speed , in miles per hour , of the motorcyclist while driving from marker b to marker c ?", + "Output Program": [ + "n0 = 120.0\nn1 = 45.0\nn2 = 3.0\nt0 = n0 / 2.0\nt1 = n0 + t0\nt2 = t1 / n1\nt3 = t2 / 4.0\nanswer = t3 * t0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "dev" + }, + { + "Input": "sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m , the cost of fencing it at 60 ps per meter is ?", + "Output Program": [ + "import math\nn0 = 3.0\nn1 = 2.0\nn2 = 3750.0\nn3 = 60.0\nt0 = n1 * n2\nt1 = t0 / n0\nt2 = math.sqrt(max(0, t1))\nt3 = n2 / t2\nt4 = 2 * (t3 + t2) # perimetere of rectangle\nt5 = n3 * t4\nanswer = t5 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "dev" + }, + { + "Input": "a courtyard is 25 meter long and 16 meter board is to be paved with bricks of dimensions 20 cm by 10 cm . the total number of bricks required is :", + "Output Program": [ + "n0 = 25.0\nn1 = 16.0\nn2 = 20.0\nn3 = 10.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n2 * n3\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "20000" + ], + "split": "dev" + }, + { + "Input": "a train is 400 meter long is running at a speed of 60 km / hour . in what time will it pass a signal post ?", + "Output Program": [ + "n0 = 400.0\nn1 = 60.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "23.998080153587715" + ], + "split": "dev" + }, + { + "Input": "the speed of a subway train is represented by the equation z = s ^ 2 + 2 s for all situations where 0 \u2264 s \u2264 7 , where z is the rate of speed in kilometers per hour and s is the time in seconds from the moment the train starts moving . in kilometers per hour , how much faster is the subway train moving after 7 seconds than it was moving after 5 seconds ?", + "Output Program": [ + "n0 = 2.0\nn1 = 2.0\nn2 = 0.0\nn3 = 7.0\nn4 = 7.0\nn5 = 5.0\nt0 = n0 * n4\nt1 = n0 * n5\nt2 = n4**min(n0, 5)\nt3 = n5**min(n0, 5)\nt4 = t0 + t2\nt5 = t1 + t3\nanswer = t4 - t5\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "dev" + }, + { + "Input": "31 of the scientists that attended a certain workshop were wolf prize laureates , and 18 of these 31 were also nobel prize laureates . of the scientists that attended that workshop and had not received the wolf prize , the number of scientists that had received the nobel prize was 3 greater than the number of scientists that had not received the nobel prize . if 50 of the scientists attended that workshop , how many of them were nobel prize laureates ?", + "Output Program": [ + "n0 = 31.0\nn1 = 18.0\nn2 = 31.0\nn3 = 3.0\nn4 = 50.0\nt0 = n4 - n0\nt1 = t0 - n3\nt2 = t1 / 2.0\nt3 = n3 + t2\nanswer = n1 + t3\nprint(answer)" + ], + "Output Answer": [ + "29" + ], + "split": "dev" + }, + { + "Input": "if 4 men can colour 48 m long cloth in 2 days , then 2 men can colour 36 m long cloth in", + "Output Program": [ + "n0 = 4.0\nn1 = 48.0\nn2 = 2.0\nn3 = 2.0\nn4 = 36.0\nt0 = n0 * n2\nt1 = n1 / t0\nt2 = n3 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "mary can do a piece of work in 26 days . rosy is 30 % more efficient than mary . the number of days taken by rosy to do the same piece of work is ?", + "Output Program": [ + "n0 = 26.0\nn1 = 30.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "in what time will a railway train 50 m long moving at the rate of 36 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 50.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.99960003199744" + ], + "split": "dev" + }, + { + "Input": "a train running at the speed of 90 km / hr crosses a pole in 5 seconds . find the length of the train .", + "Output Program": [ + "n0 = 90.0\nn1 = 5.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "125" + ], + "split": "dev" + }, + { + "Input": "here 10 programmers , type 10 lines within 10 minutes then 60 lines can type within 60 minutes . how many programmers are needed ?", + "Output Program": [ + "n0 = 10.0\nn1 = 10.0\nn2 = 10.0\nn3 = 60.0\nn4 = 60.0\nt0 = n3 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "dev" + }, + { + "Input": "jamshid can paint a fence in 50 percent less time than taimour can when each works alone . when they work together , they can paint the fence in 6 hours . how long would it take taimour to paint the fence alone ?", + "Output Program": [ + "n0 = 50.0\nn1 = 6.0\n\nanswer = n1 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "two tains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post . if the length of each train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 120.0\nt0 = n2 + n2\nt1 = n2 / n1\nt2 = n2 / n0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "dev" + }, + { + "Input": "water boils at 212 \u00b0 f or 100 \u00b0 c and ice melts at 32 \u00b0 f or 0 \u00b0 c . if the temperature of a pot of water is 55 \u00b0 c , what is the temperature of the pot of water in \u00b0 f ?", + "Output Program": [ + "n0 = 212.0\nn1 = 100.0\nn2 = 32.0\nn3 = 0.0\nn4 = 55.0\nt0 = n0 - n2\nt1 = t0 / n1\nt2 = n4 * t1\nanswer = n2 + t2\nprint(answer)" + ], + "Output Answer": [ + "131" + ], + "split": "dev" + }, + { + "Input": "what distance will be covered by a bus moving at 126 kmph in 10 seconds ?", + "Output Program": [ + "n0 = 126.0\nn1 = 10.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "350.028" + ], + "split": "dev" + }, + { + "Input": "the dimensions of a room are 10 m x 7 m x 5 m . there are 2 doors and 3 windows in the room . the dimensions of the doors are 1 m x 3 m . one window is of size 2 m x 1.5 m and the other 2 windows are of size 1 m x 1.5 m . the cost of painting the walls at rs . 3 per sq m is", + "Output Program": [ + "n0 = 10.0\nn1 = 7.0\nn2 = 5.0\nn3 = 2.0\nn4 = 3.0\nn5 = 1.0\nn6 = 3.0\nn7 = 2.0\nn8 = 1.5\nn9 = 2.0\nn10 = 1.0\nn11 = 1.5\nn12 = 3.0\nt0 = n0 + n1\nt1 = n3 * n4\nt2 = n3 * n8\nt3 = t1 + t2\nt4 = n3 * t0\nt5 = t3 + t2\nt6 = n2 * t4\nt7 = t6 - t5\nanswer = n4 * t7\nprint(answer)" + ], + "Output Answer": [ + "474" + ], + "split": "dev" + }, + { + "Input": "a car averages 30 miles per hour for the first 5 hours of a trip and averages 42 miles per hour for each additional hour of travel time . if the average speed for the entire trip is 38 miles per hour , how many hours long is the trip ?", + "Output Program": [ + "n0 = 30.0\nn1 = 5.0\nn2 = 42.0\nn3 = 38.0\nt0 = n1 * n3\nt1 = n0 * n1\nt2 = n2 - n3\nt3 = t0 - t1\nt4 = t3 / t2\nanswer = n1 + t4\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "dev" + }, + { + "Input": "a can do a piece of work in 4 days . b can do it in 10 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = n2 * t3\nt5 = t0 - t4\nt6 = t5 / n2\nanswer = t0 / t6\nprint(answer)" + ], + "Output Answer": [ + "6.666666666666667" + ], + "split": "dev" + }, + { + "Input": "the speed of a car increases by 2 kms after every one hour . if the distance travelling in the first one hour was 45 kms . what was the total distance traveled in 12 hours ?", + "Output Program": [ + "n0 = 2.0\nn1 = 45.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = n0 * n1\nt2 = n2 - 1.0\nt3 = n0 * t2\nt4 = t1 + t3\nanswer = t4 * t0\nprint(answer)" + ], + "Output Answer": [ + "672" + ], + "split": "dev" + }, + { + "Input": "a bus trip of 660 miles would have taken 1 hour less if the average speed v for the trip had been greater by 5 miles per hour . what was the average speed v , in miles per hour , for the trip ?", + "Output Program": [ + "import math\nn0 = 660.0\nn1 = 1.0\nn2 = 5.0\nt0 = n0 * n2\nt1 = n2**min(2.0, 5)\nt2 = t0 * 4.0\nt3 = t2 + t1\nt4 = math.sqrt(max(0, t3))\nt5 = t4 - n2\nanswer = t5 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "dev" + }, + { + "Input": "a and b complete a work in 6 days . a alone can do it in 8 days . if both together can do the work in how many days ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "3.428571428571429" + ], + "split": "dev" + }, + { + "Input": "the length of the bridge , which a train 130 metres long and travelling at 54 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 130.0\nn1 = 54.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "320" + ], + "split": "dev" + }, + { + "Input": "how many shots of 1 cm radius can be prepared from a sphere of 5 cm radius ?", + "Output Program": [ + "n0 = 1.0\nn1 = 5.0\nt0 = n1**min(2.0, 5)\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "125" + ], + "split": "dev" + }, + { + "Input": "a train 124 m long running at 68 kmph crosses a platform in 19 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 124.0\nn1 = 68.0\nn2 = 19.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "234.9176" + ], + "split": "dev" + }, + { + "Input": "sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 468 per week . how much does she earn in dollars per hour ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 468.0\nt0 = n0 * 3.0\nt1 = n1 * 2.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "dev" + }, + { + "Input": "aarti can do a piece of work in 9 days . in how many days will she complete three time of work of same type ?", + "Output Program": [ + "n0 = 9.0\n\nanswer = n0 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "dev" + }, + { + "Input": "when a stone is dropped from a building 200 m high , its speed is proportional to the time elapsed after dropping . the distance traveled is proportional to the square of the time elapsed . after 1 second the speed of the train was 10 m / sec and it was 190 m above the ground . when its speed is 25 m / sec , what would be its distance from the ground ?", + "Output Program": [ + "n0 = 200.0\nn1 = 1.0\nn2 = 10.0\nn3 = 190.0\nn4 = 25.0\nt0 = n0 - n3\nt1 = n4 / t0\nt2 = t1**min(2.0, 5)\nt3 = n2 * t2\nanswer = n0 - t3\nprint(answer)" + ], + "Output Answer": [ + "137.5" + ], + "split": "dev" + }, + { + "Input": "a crow leaves its nest , and flies back and forth from its nest to a nearby ditch to gather worms . the distance between the nest and the ditch is 250 meters . in one and a half hours , the crow manages to bring worms to its nest 15 times . what is the speed of the crow in kilometers per hour ?", + "Output Program": [ + "n0 = 250.0\nn1 = 15.0\nt0 = n1 / 10.0\nt1 = n1 * 2.0\nt2 = n0 * t1\nt3 = t2 / 1000.0\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "how much time will a train of length 380 m moving at a speed of 72 kmph take to cross another train of length 540 m , moving at 36 kmph in the same direction ?", + "Output Program": [ + "n0 = 380.0\nn1 = 72.0\nn2 = 540.0\nn3 = 36.0\nt0 = n0 + n2\nt1 = n1 - n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "91.9926405887529" + ], + "split": "dev" + }, + { + "Input": "8 men , working 8 hours a day can complete a work in 18 days . how many hours a day must 12 men work to complete the same work in 12 days ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 18.0\nn3 = 12.0\nn4 = 12.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "if 3 men or 4 women can do a piece of work in 16 days , in how many days can 12 men and 8 women do the same piece of work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 16.0\nn3 = 12.0\nn4 = 8.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = n3 / t0\nt3 = n4 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "2.6666666666666665" + ], + "split": "dev" + }, + { + "Input": "two trains are running in opposite directions in the same speed . the length of each train is 120 meter . if they cross each other in 24 seconds , the speed of each train ( in km / hr ) is", + "Output Program": [ + "n0 = 120.0\nn1 = 24.0\nt0 = n0 + n0\nt1 = t0 / n1\nt2 = t1 / 2.0\nanswer = t2 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "the speed of a car is 85 km in the first hour and 45 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 85.0\nn1 = 45.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "dev" + }, + { + "Input": "how many seconds will a 550 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 550.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "32.99736021118311" + ], + "split": "dev" + }, + { + "Input": "how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 9 m x 6 m x 22.5 cm ?", + "Output Program": [ + "n0 = 25.0\nn1 = 11.25\nn2 = 6.0\nn3 = 9.0\nn4 = 6.0\nn5 = 22.5\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "7200" + ], + "split": "dev" + }, + { + "Input": "stacy has a 63 page history paper due in 7 days . how many pages per day would she have to write to finish on time ?", + "Output Program": [ + "n0 = 63.0\nn1 = 7.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "george does 3 / 5 th of a piece of work in 9 days . he then calls in paul and they finish the work in 4 days . how long would paul take to do the work by himself ?", + "Output Program": [ + "n0 = 3.0\nn1 = 5.0\nn2 = 9.0\nn3 = 4.0\nt0 = n0 / n1\nt1 = n1 * n0\nt2 = 1.0 / t1\nt3 = 1.0 - t0\nt4 = n3 * t2\nt5 = t3 - t4\nt6 = t5 / n3\nanswer = 1 / t6\nprint(answer)" + ], + "Output Answer": [ + "29.999999999999993" + ], + "split": "dev" + }, + { + "Input": "in a survey of 340 employees , 104 of them are uninsured , 54 work part time , and 12.5 percent of employees who are uninsured work part time . if a person is to be randomly selected from those surveyed , what is the probability that the person will neither work part time nor be uninsured ?", + "Output Program": [ + "n0 = 340.0\nn1 = 104.0\nn2 = 54.0\nn3 = 12.5\nt0 = n1 * n3\nt1 = 1.0 * 100.0\nt2 = t0 / t1\nt3 = n2 - t2\nt4 = n1 + t3\nt5 = n0 - t4\nanswer = t5 / n0\nprint(answer)" + ], + "Output Answer": [ + "0.5735294117647058" + ], + "split": "dev" + }, + { + "Input": "two pipes a and b can fill a tank in 10 hours and 20 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.666666666666666" + ], + "split": "dev" + }, + { + "Input": "the food in a camp lasts for 10 men for 20 days . if 30 more men join , how many days will the food last ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 30.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "how long does a train 100 m long travelling at 60 kmph takes to cross a bridge of 80 m in length ?", + "Output Program": [ + "n0 = 100.0\nn1 = 60.0\nn2 = 80.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "10.799136069114471" + ], + "split": "dev" + }, + { + "Input": "the radius of the wheel of a bus is 70 cms and the speed of the bus is 66 km / h , then the r . p . m . ( revolutions per minutes ) of the wheel is", + "Output Program": [ + "n0 = 70.0\nn1 = 66.0\nt0 = n1 * 1000.0\nt1 = 1.0 * 60.0\nt2 = 3.0 * 4.0\nt3 = 2.0 * 4.0\nt4 = n0 * 2.0\nt5 = t2 + 2.0\nt6 = t3 + 2.0\nt7 = t0 * 100.0\nt8 = t7 / t1\nt9 = t6**min(2.0, 5)\nt10 = t5 / t9\nt11 = t10 + 3.0\nt12 = t11 * t4\nanswer = t8 / t12\nprint(answer)" + ], + "Output Answer": [ + "250.22747952684256" + ], + "split": "dev" + }, + { + "Input": "harry started a 4 - mile hike with a full 6 - cup canteen of water and finished the hike in 2 hours with 1 cup of water remaining in the canteen . if the canteen leaked at the rate of 1 cup per hour and harry drank 1 cups of water during the last mile , how many cups did he drink per mile during the first 3 miles of the hike ?", + "Output Program": [ + "n0 = 4.0\nn1 = 6.0\nn2 = 2.0\nn3 = 1.0\nn4 = 1.0\nn5 = 1.0\nn6 = 3.0\nt0 = n1 - n2\nt1 = t0 - n3\nt2 = t1 - n3\nanswer = t2 / n6\nprint(answer)" + ], + "Output Answer": [ + "0.6666666666666666" + ], + "split": "dev" + }, + { + "Input": "two taps a and b can fill a cistern in 12 minutes and 18 minutes respectively . they are turned on at the same time . if the tap a is turned off after 4 minutes , how long will tap b take to fill the rest of the cistern ?", + "Output Program": [ + "n0 = 12.0\nn1 = 18.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nt4 = 1.0 - t3\nanswer = t4 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "jack and christina are standing 240 feet apart on a level surface . their dog , lindy , is standing next to christina . at the same time , they all begin moving toward each other . jack walks in a straight line toward christina at a constant speed of 3 feet per second and christina walks in a straight line toward jack at a constant speed of 3 feet per second . lindy runs at a constant speed of 10 feet per second from christina to jack , back to christina , back to jack , and so forth . what is the total distance , in feet , that lindy has traveled when the three meet at one place ?", + "Output Program": [ + "n0 = 240.0\nn1 = 3.0\nn2 = 3.0\nn3 = 10.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "dev" + }, + { + "Input": "the speed of a boat in still water is 60 kmph and the speed of the current is 17 kmph . find the speed downstream and upstream ?", + "Output Program": [ + "n0 = 60.0\nn1 = 17.0\n\nanswer = n0 + n1\nprint(answer)" + ], + "Output Answer": [ + "77" + ], + "split": "dev" + }, + { + "Input": "darcy lives 1.5 miles from work . she can walk to work at a constant rate of 3 miles per hour , or she can ride the train to work at a constant rate of 20 miles per hour . if she rides the train , there is an additional x minutes spent walking to the nearest train station , waiting for the train , and walking from the final train station to her work . if it takes darcy a total of 10 more minutes to commute to work by walking than it takes her to commute to work by riding the train , what is the value of x ?", + "Output Program": [ + "n0 = 1.5\nn1 = 3.0\nn2 = 20.0\nn3 = 10.0\nt0 = 60.0 / 2.0\nt1 = n2 / n0\nt2 = 60.0 / t1\nt3 = t0 - n3\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "15.5" + ], + "split": "dev" + }, + { + "Input": "in a particular city there are 100 homes numbered from 1 , 23 , . . , 100 . the city was build by a builder from chennai . there was 4 to 5 shops in the town which was build by a builder from mumbai . the 2 nd builder can build in 1 \u00bd times as compared to time by 1 st builder . the 2 nd builder builds in 15 days , then how many 2 ' s are used by the builder from chennai in numbering the 100 homes ?", + "Output Program": [ + "n0 = 100.0\nn1 = 1.0\nn2 = 23.0\nn3 = 100.0\nn4 = 4.0\nn5 = 5.0\nn6 = 2.0\nn7 = 1.0\nn8 = 1.0\nn9 = 2.0\nn10 = 15.0\nn11 = 2.0\nn12 = 100.0\nt0 = n10 - n5\nanswer = n6 * t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "p and q can complete a work in 40 days and 24 days respectively . p alone started the work and q joined him after 8 days till the completion of the work . how long did the work last ?", + "Output Program": [ + "n0 = 40.0\nn1 = 24.0\nn2 = 8.0\nt0 = n2 / n0\nt1 = 1 / n0\nt2 = 1 / n1\nt3 = t1 + t2\nt4 = 1.0 - t0\nt5 = t4 / t3\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 4 of all the paint . during the second week , he uses 1 / 2 of the remaining paint . how many gallons of paint has joe used ?", + "Output Program": [ + "n0 = 360.0\nn1 = 1.0\nn2 = 4.0\nn3 = 1.0\nn4 = 2.0\nt0 = n0 / n2\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n4\nanswer = t3 + t1\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "dev" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of $ 600 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 600.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "12375" + ], + "split": "dev" + }, + { + "Input": "a can give b 60 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 60.0\nn1 = 200.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "148.936170212766" + ], + "split": "dev" + }, + { + "Input": "john and beth each drove from smallville to crown city by different routes . john drove an an average speed of 40 miles per hour and completed the trip in 30 minutes . beth ' s route was 5 miles longer , and it took her 20 minutes more than john to complete the trip . how many miles per hour was beth ' s average speed on this trip ?", + "Output Program": [ + "n0 = 40.0\nn1 = 30.0\nn2 = 5.0\nn3 = 20.0\nt0 = n1 + n3\nt1 = n1 / 60.0\nt2 = t0 / 60.0\nt3 = n0 * t1\nt4 = n2 + t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "dev" + }, + { + "Input": "a train is 250 meter long is running at a speed of 36 km / hour . in what time will it pass a station of 200 meter length ?", + "Output Program": [ + "n0 = 250.0\nn1 = 36.0\nn2 = 200.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "dev" + }, + { + "Input": "a train covers a distance in 50 min , if it runs at a speed of 48 kmph on an average . the speed at which the train must run to reduce the time of journey to 40 min will be .", + "Output Program": [ + "n0 = 50.0\nn1 = 48.0\nn2 = 40.0\nt0 = n0 / 60.0\nt1 = n2 / 60.0\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "dev" + }, + { + "Input": "sandy walked 20 meters towards south . then sandy turned to her left and walked 20 meters . she then turned to her left and walked 20 meters . she then turned to her right and walked 25 meters . what distance is she from the starting point and in which direction ?", + "Output Program": [ + "n0 = 20.0\nn1 = 20.0\nn2 = 20.0\nn3 = 25.0\n\nanswer = n0 + n3\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "dev" + }, + { + "Input": "2 persons can finish a job in 8 days . first person alone can finish the work in 24 days . how many days does the second person take to finish the job ?", + "Output Program": [ + "n0 = 2.0\nn1 = 8.0\nn2 = 24.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999998" + ], + "split": "dev" + }, + { + "Input": "a cistern is filled by pipe a in 12 hours and the full cistern can be leaked out by an exhaust pipe b in 18 hours . if both the pipes are opened , in what time the cistern is full ?", + "Output Program": [ + "n0 = 12.0\nn1 = 18.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "dev" + }, + { + "Input": "a man swims downstream 42 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 42.0\nn1 = 18.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "two trains travelling in the same direction at 50 and 40 kmph completely pass off another in 1 1 / 2 minute . if the length of the first train is 125 m , what is the length of the second train ?", + "Output Program": [ + "n0 = 50.0\nn1 = 40.0\nn2 = 1.0\nn3 = 1.0\nn4 = 2.0\nn5 = 125.0\nt0 = n2 * 60.0\nt1 = n0 - n1\nt2 = t0 / n4\nt3 = t1 * 0.2778\nt4 = t2 + t0\nt5 = t4 * t3\nanswer = t5 - n5\nprint(answer)" + ], + "Output Answer": [ + "125.02000000000001" + ], + "split": "dev" + }, + { + "Input": "a man can row upstream at 25 kmph and downstream at 31 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 25.0\nn1 = 31.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "dev" + }, + { + "Input": "a bullet train covers a distance in 50 min , if it runs at a speed of 48 kmph on an average . the speed at which the bullet train must run to reduce the time of journey to 40 min will be .", + "Output Program": [ + "n0 = 50.0\nn1 = 48.0\nn2 = 40.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "dev" + }, + { + "Input": "sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 360 per week . how much does she earn in dollars per hour ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 360.0\nt0 = n0 * 3.0\nt1 = n1 * 2.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "if a tire rotates at 400 revolutions per minute when the car is traveling 24 km / h , what is the circumference of the tire ?", + "Output Program": [ + "n0 = 400.0\nn1 = 24.0\nt0 = 2.0 * 3.0\nt1 = t0 * 10.0\nt2 = n0 * t1\nt3 = n1 / t2\nanswer = t3 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "dev" + }, + { + "Input": "a can do a work in 15 days and b in 20 days . if they work on it together for 7 days , then the fraction of the work that is left is", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 7.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.18333333333333335" + ], + "split": "dev" + }, + { + "Input": "the lcm of two numbers is 2310 and hcf is 30 . if one of the numbers is 210 . then what is the other number ?", + "Output Program": [ + "n0 = 2310.0\nn1 = 30.0\nn2 = 210.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "330" + ], + "split": "dev" + }, + { + "Input": "the length of the bridge , which a train 120 m long and traveling at 45 km / hr can cross in 30 sec is ?", + "Output Program": [ + "n0 = 120.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "255" + ], + "split": "dev" + }, + { + "Input": "14 men make 1400 toy in 5 days 1 day after work 14 more worker join now how may days work can finish", + "Output Program": [ + "n0 = 14.0\nn1 = 1400.0\nn2 = 5.0\nn3 = 1.0\nn4 = 14.0\nt0 = n1 / n2\nt1 = n0 * n2\nt2 = n0 * 2.0\nt3 = n1 * t2\nt4 = n1 - t0\nt5 = t1 * t4\nanswer = t5 / t3\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "dev" + }, + { + "Input": "if 8 men or 12 women can do a piece of work in 30 days , in how many days can the same work be done by 6 men and 11 women ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 30.0\nn3 = 6.0\nn4 = 11.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = n3 / t0\nt3 = n4 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "a man sitting in a train which is travelling at 64 kmph observes that a goods train travelling in a opposite direction , takes 18 seconds to pass him . if the goods train is 420 m long , find its speed .", + "Output Program": [ + "n0 = 64.0\nn1 = 18.0\nn2 = 420.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "the speed of a car is 95 km in the first hour and 60 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 95.0\nn1 = 60.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "77.5" + ], + "split": "dev" + }, + { + "Input": "a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 30 kilometers per hour . the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate . how many minutes must the cyclist wait until the hiker catches up ?", + "Output Program": [ + "n0 = 4.0\nn1 = 30.0\nn2 = 5.0\nt0 = n2 / 60.0\nt1 = n1 * t0\nt2 = n0 * t0\nt3 = t1 - t2\nt4 = t3 / n0\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "32.5" + ], + "split": "dev" + }, + { + "Input": "a train running at the speed of 40 km / hr crosses a pole in 9 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 40.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "dev" + }, + { + "Input": "x can do a piece of work in 40 days . he works at it for 8 days and then y finished it in 20 days . how long will y take to complete the work ?", + "Output Program": [ + "n0 = 40.0\nn1 = 8.0\nn2 = 20.0\nt0 = n1 / n0\nt1 = 1.0 - t0\nt2 = 1 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "dev" + }, + { + "Input": "to deliver an order on time , a company has to make 25 parts a day . after making 25 parts per day for 3 days , the company started to produce 5 more parts per day , and by the last day of work 100 more parts than planned were produced . find how many parts the company made and how many days this took .", + "Output Program": [ + "n0 = 25.0\nn1 = 25.0\nn2 = 3.0\nn3 = 5.0\nn4 = 100.0\nt0 = n0 + n3\nt1 = n0 * n2\nt2 = n2 * t0\nt3 = n4 + t2\nt4 = t3 - t1\nt5 = t4 / n3\nt6 = n0 * t5\nanswer = n4 + t6\nprint(answer)" + ], + "Output Answer": [ + "675" + ], + "split": "dev" + }, + { + "Input": "a hollow iron pipe is 21 cm long and its external diameter is 8 cm . if the thickness of the pipe is 1 cm and iron weights 8 g / cm cube , then find the weight of the pipe .", + "Output Program": [ + "import math\nn0 = 21.0\nn1 = 8.0\nn2 = 1.0\nn3 = 8.0\nt0 = n1 / 2.0\nt1 = t0 - 1.0\nt2 = math.pi * t0**2 * n0\nt3 = math.pi * t1**2 * n0\nt4 = t2 - t3\nt5 = n1 * t4\nanswer = t5 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "3.694512960621597" + ], + "split": "dev" + }, + { + "Input": "a train passes a platform in 34 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is", + "Output Program": [ + "n0 = 34.0\nn1 = 20.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "210.0168" + ], + "split": "dev" + }, + { + "Input": "liam is pulled over for speeding just as he is arriving at work . he explains to the police officer that he could not afford to be late today , and has arrived at work only four minutes before he is to start . the officer explains that if liam had driven 5 mph slower for his whole commute , he would have arrived at work exactly on time . if liam ' s commute is 10 miles long , how fast was he actually driving ? ( assume that liam drove at a constant speed for the duration of his commute . )", + "Output Program": [ + "n0 = 5.0\nn1 = 10.0\nt0 = n0 * 4.0\nanswer = n1 + t0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "dev" + }, + { + "Input": "john and steve are speed walkers in a race . john is 15 meters behind steve when he begins his final push . john blazes to the finish at a pace of 4.2 m / s , while steve maintains a blistering 3.7 m / s speed . if john finishes the race 2 meters ahead of steve , how long was john \u2019 s final push ?", + "Output Program": [ + "n0 = 15.0\nn1 = 4.2\nn2 = 3.7\nn3 = 2.0\nt0 = n0 + n3\nt1 = n1 - n2\nt2 = n2 * t0\nt3 = t2 / t1\nt4 = t0 + t3\nanswer = t4 / n1\nprint(answer)" + ], + "Output Answer": [ + "34" + ], + "split": "dev" + }, + { + "Input": "pipe a can fill a tank in 6 hours . due to a leak at the bottom , it takes 12 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?", + "Output Program": [ + "n0 = 6.0\nn1 = 12.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "dev" + }, + { + "Input": "in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 80 questions and secures 130 marks , the no of questions he attempts correctly is :", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 80.0\nn3 = 130.0\nt0 = n2 + n3\nt1 = n0 + n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "dev" + }, + { + "Input": "a 90 cm long wire is to be cut into two pieces so that one piece will be 2 / 7 th of the other , how many centimeters will the shorter piece be ?", + "Output Program": [ + "n0 = 90.0\nn1 = 2.0\nn2 = 7.0\nt0 = n1 / n2\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "the length of a room is 6.5 m and width is 2.75 m . what is the cost of paying the floor by slabs at the rate of rs . 600 per sq . metre .", + "Output Program": [ + "n0 = 6.5\nn1 = 2.75\nn2 = 600.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "10725" + ], + "split": "dev" + }, + { + "Input": "26 buckets of water fill a tank when the capacity of each bucket is 13.5 litres . how many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres ?", + "Output Program": [ + "n0 = 26.0\nn1 = 13.5\nn2 = 9.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "39" + ], + "split": "dev" + }, + { + "Input": "a train is running at a speed of 40 km / hr and it crosses a post in 22.5 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 40.0\nn1 = 22.5\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "250.02" + ], + "split": "dev" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 32 m at the rate of rs . 2 a meter ?", + "Output Program": [ + "import math\nn0 = 32.0\nn1 = 2.0\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "201.06192982974676" + ], + "split": "dev" + }, + { + "Input": "if julie rows 32 km upstream and 72 km down steam taking 4 hours each , then the speed of the stream", + "Output Program": [ + "n0 = 32.0\nn1 = 72.0\nn2 = 4.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 - t1\nt3 = t2 / 2.0\nt4 = t3 / 2.0\nanswer = t4 - 2.0\nprint(answer)" + ], + "Output Answer": [ + "0.5" + ], + "split": "dev" + }, + { + "Input": "sravan travelled for 15 hours . he covered the first half of the distance at 45 kmph and remaining half of the distance at 30 kmph . find the distance travelled by sravan ?", + "Output Program": [ + "n0 = 15.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 + n2\nt1 = n2 * n2\nt2 = n1 * t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "540" + ], + "split": "dev" + }, + { + "Input": "50 litres of diesel is required to travel 600 km using a 800 cc engine . if the volume of diesel required to cover a distance varies directly as the capacity of the engine , then how many litres of diesel is required to travel 800 km using 1200 cc engine ?", + "Output Program": [ + "n0 = 50.0\nn1 = 600.0\nn2 = 800.0\nn3 = 800.0\nn4 = 1200.0\nt0 = n1 * n2\nt1 = n0 / t0\nt2 = n2 * t1\nanswer = n4 * t2\nprint(answer)" + ], + "Output Answer": [ + "100.00000000000001" + ], + "split": "dev" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 600 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 600.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "12375" + ], + "split": "dev" + }, + { + "Input": "if 9 workers can build 9 cars in 9 days , then how many days would it take 7 workers to build 7 cars ?", + "Output Program": [ + "n0 = 9.0\nn1 = 9.0\nn2 = 9.0\nn3 = 7.0\nn4 = 7.0\nt0 = n3 / n3\nt1 = n0 * n0\nt2 = t1 / n0\nanswer = t2 * t0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "if it would take one machine 20 minutes to fill a large production order and another machine 30 minutes to fill the same order , how many minutes would it take both machines working together , at their respective rates , to fill the order ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999998" + ], + "split": "dev" + }, + { + "Input": "a train crosses a bridge of length 1500 m in 70 seconds and a lamp post on the bridge in 20 seconds . what is the length of the train in metres ?", + "Output Program": [ + "n0 = 1500.0\nn1 = 70.0\nn2 = 20.0\nt0 = n1 - n2\nt1 = n0 / t0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "dev" + }, + { + "Input": "a can do a piece of work in 4 days . b can do it in 7 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 7.0\nn2 = 2.0\nt0 = n0 * n1\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t1 + t2\nt4 = n2 * t3\nt5 = t0 - t4\nt6 = t5 / n2\nanswer = t0 / t6\nprint(answer)" + ], + "Output Answer": [ + "9.333333333333334" + ], + "split": "dev" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 22 m at the rate of rs . 2.50 a meter ?", + "Output Program": [ + "import math\nn0 = 22.0\nn1 = 2.5\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "172.7875959474386" + ], + "split": "dev" + }, + { + "Input": "stacy has a 12 page history paper due in 12 days . how many pages per day would she have to write to finish on time ?", + "Output Program": [ + "n0 = 12.0\nn1 = 12.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "dev" + }, + { + "Input": "if the wages of 6 men for 15 days be rs . 2100 , then find the wages of for 12 days .", + "Output Program": [ + "n0 = 6.0\nn1 = 15.0\nn2 = 2100.0\nn3 = 12.0\nt0 = n2 / n1\nt1 = 3.0 * 3.0\nt2 = t0 / n0\nt3 = n3 * t2\nanswer = t1 * t3\nprint(answer)" + ], + "Output Answer": [ + "2520" + ], + "split": "dev" + }, + { + "Input": "convert the 15 / 36 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 15.0\nn1 = 36.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "dev" + }, + { + "Input": "a man goes downstream at 10 kmph , and upstream 8 kmph . the speed of the stream is", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nt0 = n0 - n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "dev" + }, + { + "Input": "length of a rectangular plot is 10 mtr more than its breadth . if the cost of fencin g the plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 10.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "dev" + }, + { + "Input": "each day a man meets his wife at the train station after work , and then she drives him home . she always arrives exactly on time to pick him up . one day he catches an earlier train and arrives at the station an hour early . he immediately begins walking home along the same route the wife drives . eventually his wife sees him on her way to the station and drives him the rest of the way home . when they arrive home the man notices that they arrived 40 minutes earlier than usual . how much time did the man spend walking ?", + "Output Program": [ + "n0 = 40.0\nt0 = n0 / 2.0\nanswer = 60.0 - t0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "dev" + }, + { + "Input": "in what time will a train 100 metres long cross an electric pole , if its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 100.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.49980001599872" + ], + "split": "dev" + }, + { + "Input": "a start walking from a place at a uniform speed of 4 kmph in a particular direction . after half an hour , b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes . find the speed of b .", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 48.0\nt0 = n2 + 60.0\nt1 = t0 / 60.0\nt2 = n1 / t1\nanswer = n0 + t2\nprint(answer)" + ], + "Output Answer": [ + "4.555555555555555" + ], + "split": "dev" + }, + { + "Input": "a cistern 8 m long and 4 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :", + "Output Program": [ + "n0 = 8.0\nn1 = 4.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "dev" + }, + { + "Input": "in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 60 questions and secures 130 marks , the no of questions he attempts correctly is :", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 60.0\nn3 = 130.0\nt0 = n2 + n3\nt1 = n0 + n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "38" + ], + "split": "dev" + }, + { + "Input": "a is half good a work man as b and together they finish a job in 20 days . in how many days working alone b finish the job ?", + "Output Program": [ + "n0 = 20.0\nt0 = 3.0 / 2.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "dev" + }, + { + "Input": "a 120.00001 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", + "Output Program": [ + "n0 = 120.00001\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "380.03999" + ], + "split": "dev" + }, + { + "Input": "a car gets 24 miles to the gallon . if it is modified to use a solar panel , it will use only 75 percent as much fuel as it does now . if the fuel tank holds 12 gallons , how many more miles will the car be able to travel , per full tank of fuel , after it has been modified ?", + "Output Program": [ + "n0 = 24.0\nn1 = 75.0\nn2 = 12.0\nt0 = n0 / n1\nt1 = n0 * n2\nt2 = t0 * 100.0\nt3 = n2 * t2\nanswer = t3 - t1\nprint(answer)" + ], + "Output Answer": [ + "96" + ], + "split": "dev" + }, + { + "Input": "jonathan can type a 40 page document in 40 minutes , susan can type it in 30 minutes , and jack can type it in 24 minutes . working together , how much time will it take them to type the same document ?", + "Output Program": [ + "n0 = 40.0\nn1 = 40.0\nn2 = 30.0\nn3 = 24.0\nt0 = n0 / n1\nt1 = n0 / n2\nt2 = n0 / n3\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = n0 / t4\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8 m x 6 m x 22.5 cm ?", + "Output Program": [ + "n0 = 25.0\nn1 = 11.25\nn2 = 6.0\nn3 = 8.0\nn4 = 6.0\nn5 = 22.5\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "6400" + ], + "split": "dev" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 11 cm .", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 11.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "209" + ], + "split": "dev" + }, + { + "Input": "working alone , a can complete a certain kind of job in 3 hours . a and d , working together at their respective rates , can complete one of these jobs in 2 hours . in how many hours can d , working alone , complete one of these jobs ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nt0 = 1 / n1\nt1 = 1 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.999999999999999" + ], + "split": "dev" + }, + { + "Input": "a copy machine , working at a constant rate , makes 35 copies per minute . a second copy machine , working at a constant rate , makes 65 copies per minute . working together at their respective rates , how many copies do the two machines make in half an hour ?", + "Output Program": [ + "n0 = 35.0\nn1 = 65.0\nt0 = n0 + n1\nt1 = t0 * 60.0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "3000" + ], + "split": "dev" + }, + { + "Input": "if a car went the first third of the distance at 80 kmh , the second third at 30 kmh , and the last third at 48 kmh , what was the average speed of the car for the entire trip ?", + "Output Program": [ + "n0 = 80.0\nn1 = 30.0\nn2 = 48.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 3.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "dev" + }, + { + "Input": "a 1400 m long train crosses a tree in 100 sec , how much time will it take to pass a platform 700 m long ?", + "Output Program": [ + "n0 = 1400.0\nn1 = 100.0\nn2 = 700.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "dev" + }, + { + "Input": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 8 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nn2 = 8.0\nn3 = 10.0\nt0 = n0 / n2\nt1 = n1 / n3\nt2 = t1**min(2.0, 5)\nt3 = t0 * t2\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "80.00000000000001" + ], + "split": "dev" + }, + { + "Input": "what is the length of a bridge ( in meters ) , which a train 156 meters long and travelling at 45 km / h can cross in 30 seconds ?", + "Output Program": [ + "n0 = 156.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "219.02999999999997" + ], + "split": "dev" + }, + { + "Input": "a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 11 multiples of 14 , how many multiples of 7 are there in q ?", + "Output Program": [ + "n0 = 14.0\nn1 = 11.0\nn2 = 14.0\nn3 = 7.0\nt0 = n1 * 2.0\nanswer = t0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "dev" + }, + { + "Input": "danny and steve are running towards each other , each one from his own house . danny can reach steve ' s house in 33 minutes of running , which is half the time it takes steve to reach danny ' s house . if the two started to run at the same time , how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?", + "Output Program": [ + "n0 = 33.0\n\nanswer = n0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "16.5" + ], + "split": "dev" + }, + { + "Input": "a cistern is normally filled in 6 hours but takes two hours longer to fill because of a leak in its bottom . if the cistern is full , the leak will empty it in ?", + "Output Program": [ + "n0 = 6.0\nt0 = n0 + 2.0\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t1 - t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "24.000000000000007" + ], + "split": "dev" + }, + { + "Input": "a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 50 percent .", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 50.0\nt0 = n2 / n1\nanswer = t0 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "dev" + }, + { + "Input": "a hollow iron pipe is 21 cm long and its external diameter is 8 cm . if the thickness of the pipe is 1 cm and iron weighs 8 g / cm 3 , then the weight of the pipe is :", + "Output Program": [ + "import math\nn0 = 21.0\nn1 = 8.0\nn2 = 1.0\nn3 = 8.0\nn4 = 3.0\nt0 = n1 / 2.0\nt1 = t0 - n2\nt2 = math.pi * t0**2 * n0\nt3 = math.pi * t1**2 * n0\nt4 = t2 - t3\nt5 = n1 * t4\nanswer = t5 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "3.694512960621597" + ], + "split": "dev" + }, + { + "Input": "29 persons can repair a road in 16 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 29.0\nn1 = 16.0\nn2 = 5.0\nn3 = 30.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "12.88888888888889" + ], + "split": "dev" + }, + { + "Input": "danny and steve are running towards each other , each one from his own house . danny can reach steve ' s house in 27 minutes of running , which is half the time it takes steve to reach danny ' s house . if the two started to run at the same time , how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?", + "Output Program": [ + "n0 = 27.0\n\nanswer = n0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "13.5" + ], + "split": "dev" + }, + { + "Input": "amar takes as much time in running 22 meters as a car takes in covering 58 meters . what will be the distance covered by amar during the time the car covers 2.6 km ?", + "Output Program": [ + "n0 = 22.0\nn1 = 58.0\nn2 = 2.6\nt0 = n2 * 1000.0\nt1 = n0 * t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "986.2068965517242" + ], + "split": "dev" + }, + { + "Input": "when the perimeter of a regular polygon is divided by 5 , the length of a side is 25 . what is the name of the polygon ? what is the perimeter ?", + "Output Program": [ + "n0 = 5.0\nn1 = 25.0\nt0 = n1 / n0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "125" + ], + "split": "dev" + }, + { + "Input": "a vessel of capacity 60 litres is fully filled with pure milk . nine litres of milk is removed from the vessel and replaced with water . nine litres of the solution thus formed is removed and replaced with water . find the quantity of pure milk in the final milk solution ?", + "Output Program": [ + "n0 = 60.0\nt0 = 3.0 * 3.0\nt1 = n0 - t0\nt2 = t1 / n0\nt3 = t2 * t0\nanswer = t1 - t3\nprint(answer)" + ], + "Output Answer": [ + "43.35" + ], + "split": "dev" + }, + { + "Input": "a company produces 50000 bottles of water everyday . if a case can hold 25 bottles of water . how many cases are required by the company to hold its one day production", + "Output Program": [ + "n0 = 50000.0\nn1 = 25.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "2000" + ], + "split": "dev" + }, + { + "Input": "bruce and anne can clean their house in 4 hours working together at their respective constant rates . if anne \u2019 s speed were doubled , they could clean their house in 3 hours working at their respective rates . how many w hours does it currently take anne to clean the house on her own ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "dev" + }, + { + "Input": "the average temperature for tuesday , wednesday and thursday was 42 \u00b0 c . the average temperature for wednesday , thursday and friday was 44 \u00b0 c . if the temperature on friday be 43 \u00b0 c , what was the temperature on tuesday ?", + "Output Program": [ + "n0 = 42.0\nn1 = 44.0\nn2 = 43.0\nt0 = n0 * 3.0\nt1 = n1 * 3.0\nt2 = t1 - n2\nanswer = t0 - t2\nprint(answer)" + ], + "Output Answer": [ + "37" + ], + "split": "dev" + }, + { + "Input": "a plant manager must assign 12 new workers to one of five shifts . she needs a first , second , and third shift , and two alternate shifts . each of the shifts will receive 3 new workers . how many different ways can she assign the new workers ?", + "Output Program": [ + "import math\nn0 = 12.0\nn1 = 3.0\nt0 = n0 / n1\nt1 = math.factorial(min(15, int(n0)))\nt2 = math.factorial(min(15, int(n1)))\nt3 = n0 - n1\nt4 = math.factorial(min(15, int(t0)))\nt5 = math.factorial(min(15, int(t3)))\nt6 = t4 / 2.0\nt7 = t5 * t2\nt8 = t1 / t7\nanswer = t6 * t8\nprint(answer)" + ], + "Output Answer": [ + "2640" + ], + "split": "dev" + }, + { + "Input": "a man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream . the ratio of the speed of the boat in still water and stream is", + "Output Program": [ + "t0 = 1.0 + 2.0\nt1 = 2.0 - 1.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 8 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ?", + "Output Program": [ + "n0 = 60.0\nn1 = 5.0\nn2 = 8.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "dev" + }, + { + "Input": "20 beavers , working together in a constant pace , can build a dam in 3 hours . how many hours c will it take 12 beavers that work at the same pace , to build the same dam ?", + "Output Program": [ + "n0 = 20.0\nn1 = 3.0\nn2 = 12.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "a train is 360 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 160 meter length ?", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 160.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "41.6" + ], + "split": "dev" + }, + { + "Input": "two pipes a and b can separately fill a cistern in 60 minutes and 75 minutes respectively . there is a third pipe in the bottom of the cistern to empty it . if all the three pipes are simultaneously opened , then the cistern is full in 50 minutes . in how much time , the third pipe alone can empty the cistern ?", + "Output Program": [ + "n0 = 60.0\nn1 = 75.0\nn2 = 50.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "100.00000000000001" + ], + "split": "dev" + }, + { + "Input": "two trains , a and b , started simultaneously from opposite ends of a 120 - mile route and traveled toward each other on parallel tracks . train a , traveling at a constant rate , completed the 120 - mile trip in 6 hours ; train b , traveling at a constant rate , completed the 120 - mile trip in 4 hours . how many miles had train a traveled when it met train b ?", + "Output Program": [ + "n0 = 120.0\nn1 = 120.0\nn2 = 6.0\nn3 = 120.0\nn4 = 4.0\nt0 = n2 + n4\nt1 = n4 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "dev" + }, + { + "Input": "to complete a work a and b takes 8 days , b and c takes 12 days , a , b and c takes 6 days . how much time a and c will take", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 6.0\nt0 = n0 * n2\nt1 = n0 - n2\nt2 = n0 - 4.0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "maxwell leaves his home and walks toward brad ' s house . one hour later , brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 34 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the total time it takes maxwell before he meets up with brad ?", + "Output Program": [ + "n0 = 34.0\nn1 = 4.0\nn2 = 6.0\nt0 = n0 + n2\nt1 = n1 + n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing . if the poles of the fence are kept 10 metres apart , how many poles will be needed ?", + "Output Program": [ + "n0 = 90.0\nn1 = 50.0\nn2 = 10.0\nt0 = 2 * (n0 + n1) # perimetere of rectangle\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "dev" + }, + { + "Input": "if in a race of 80 m , a covers the distance in 20 seconds and b in 25 seconds , then a beats b by :", + "Output Program": [ + "n0 = 80.0\nn1 = 20.0\nn2 = 25.0\nt0 = n2 - n1\nt1 = t0 / n2\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "dev" + }, + { + "Input": "two trains start from a & b and travel towards each other at speed of 50 kmph and 60 kmph resp . at the time of the meeting the second train has traveled 100 km more than the first . the distance between them .", + "Output Program": [ + "n0 = 50.0\nn1 = 60.0\nn2 = 100.0\nt0 = n1 - n0\nt1 = n2 / t0\nt2 = n0 * t1\nt3 = n1 * t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "1100" + ], + "split": "dev" + }, + { + "Input": "a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 140 m long ?", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 140.0\nt0 = n2 / 1000.0\nt1 = n0 / 1000.0\nt2 = t0 + t1\nt3 = t2 / n1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "dev" + }, + { + "Input": "convert the 17 / 36 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 17.0\nn1 = 36.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "1.7" + ], + "split": "dev" + }, + { + "Input": "two guys a and b leave point a and point b simultaneously and travel towards point b and point a on the same route at their respective constant speeds . they meet along the route and immediately proceed to their respective destinations in 32 minutes and 50 minutes respectively . how long will b take to cover the entire journey between point b and point a ?", + "Output Program": [ + "n0 = 32.0\nn1 = 50.0\nt0 = 1.0 + 4.0\nt1 = 4.0 + 4.0\nt2 = t0 * t1\nanswer = n1 + t2\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "dev" + }, + { + "Input": "how many seconds will a 300 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 300.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190784" + ], + "split": "dev" + }, + { + "Input": "excluding stoppages , the speed of a train is 45 kmph and including stoppages it is 30 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 45.0\nn1 = 30.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "a 300 m long train crosses a platform in 48 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 48.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "dev" + }, + { + "Input": "joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 4 of all the paint . during the second week , he uses 1 / 3 of the remaining paint . how many gallons of paint has joe used ?", + "Output Program": [ + "n0 = 360.0\nn1 = 1.0\nn2 = 4.0\nn3 = 1.0\nn4 = 3.0\nt0 = n0 / n2\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n4\nanswer = t3 + t1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "dev" + }, + { + "Input": "if a truck is traveling at a constant rate of 108 kilometers per hour , how many seconds will it take the truck to travel a distance of 600 meters ? ( 1 kilometer = 1000 meters )", + "Output Program": [ + "n0 = 108.0\nn1 = 600.0\nn2 = 1.0\nn3 = 1000.0\nt0 = n1 / n3\nt1 = t0 / n0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "two bullet trains of equal lengths take 10 seconds and 12 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nn2 = 120.0\nt0 = n2 + n2\nt1 = n2 / n0\nt2 = n2 / n1\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "10.909090909090908" + ], + "split": "dev" + }, + { + "Input": "the sector of a circle has perimeter of 144 cm and central angle 180 o . find its radius ?", + "Output Program": [ + "n0 = 144.0\nn1 = 180.0\nt0 = 3.0 + 4.0\nt1 = 3600.0 / 10.0\nt2 = 10.0 * 2.0\nt3 = t2 + 2.0\nt4 = t3 / t0\nt5 = t4 * 2.0\nt6 = n1 * t5\nt7 = t6 / t1\nt8 = t7 + 2.0\nanswer = n0 / t8\nprint(answer)" + ], + "Output Answer": [ + "28.000000000000004" + ], + "split": "dev" + }, + { + "Input": "the dimensions of a room are 10 m x 7 m x 5 m . there are 2 doors and 3 windows in the room . the dimensions of the doors are 1 m x 3 m . one window is of size 2 m x 1.5 m and the other 2 windows are of size 1 m x 1.5 m . the cost of painting the walls at rs . 3 per sq m is ?", + "Output Program": [ + "n0 = 10.0\nn1 = 7.0\nn2 = 5.0\nn3 = 2.0\nn4 = 3.0\nn5 = 1.0\nn6 = 3.0\nn7 = 2.0\nn8 = 1.5\nn9 = 2.0\nn10 = 1.0\nn11 = 1.5\nn12 = 3.0\nt0 = n0 + n1\nt1 = n3 * n4\nt2 = n3 * n8\nt3 = t1 + t2\nt4 = n3 * t0\nt5 = t3 + t2\nt6 = n2 * t4\nt7 = t6 - t5\nanswer = n4 * t7\nprint(answer)" + ], + "Output Answer": [ + "474" + ], + "split": "dev" + }, + { + "Input": "how long does a bus 100 m long traveling at 50 kmph takes to cross a bridge of 150 m in length ?", + "Output Program": [ + "n0 = 100.0\nn1 = 50.0\nn2 = 150.0\nt0 = n0 + n2\nt1 = n1 / 3.6\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "a cistern 5 m long and 4 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :", + "Output Program": [ + "n0 = 5.0\nn1 = 4.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "42.5" + ], + "split": "dev" + }, + { + "Input": "a train 110 m long is running with a speed of 90 km / h . in how many seconds will the train pass a man who is running at 9 km / h in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 90.0\nn2 = 9.0\nt0 = n1 + n2\nt1 = t0 / 3.6\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "a train passes a platform in 32 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is", + "Output Program": [ + "n0 = 32.0\nn1 = 20.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "180.0144" + ], + "split": "dev" + }, + { + "Input": "in a 80 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is :", + "Output Program": [ + "n0 = 80.0\nn1 = 56.0\nn2 = 7.0\nt0 = n2 / n1\nt1 = n0 * t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "there are 5 people who can build 5 houses in just 5 days . increase the amount of people to 100 . how long would it take these 100 people to build 100 houses ?", + "Output Program": [ + "n0 = 5.0\nn1 = 5.0\nn2 = 5.0\nn3 = 100.0\nn4 = 100.0\nn5 = 100.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "45 workers work 8 hours to dig a hole 30 meters deep . how many extra workers should be hired to dig another hole 55 meters deep by working for 6 hours ?", + "Output Program": [ + "n0 = 45.0\nn1 = 8.0\nn2 = 30.0\nn3 = 55.0\nn4 = 6.0\nt0 = n3 / n2\nt1 = n1 / n4\nt2 = n0 * t1\nt3 = t0 * t2\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "dev" + }, + { + "Input": "a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 150 m long ?", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 150.0\nt0 = n2 / 1000.0\nt1 = n0 / 1000.0\nt2 = t0 + t1\nt3 = t2 / n1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "40.800000000000004" + ], + "split": "dev" + }, + { + "Input": "a can give b 50 meters start and c 100 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 50.0\nn1 = 100.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "52.63157894736844" + ], + "split": "dev" + }, + { + "Input": "how many seconds will a 800 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?", + "Output Program": [ + "n0 = 800.0\nn1 = 63.0\nn2 = 3.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "47.99616030717543" + ], + "split": "dev" + }, + { + "Input": "the radius of a wheel is 22.5 cm . what is the distance covered by the wheel in making 500 resolutions ?", + "Output Program": [ + "n0 = 22.5\nn1 = 500.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "707.1428571428571" + ], + "split": "dev" + }, + { + "Input": "how many cubes of 10 cm edge can be put in a cubical box of 1 m edge ?", + "Output Program": [ + "n0 = 10.0\nn1 = 1.0\nt0 = n0 / 100.0\nt1 = n1**3\nt2 = t0**3\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "999.9999999999998" + ], + "split": "dev" + }, + { + "Input": "12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 15 hours a day , the number of men required ?", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 10.0\nn3 = 8.0\nn4 = 15.0\nt0 = n0 * n2\nt1 = n3 * n4\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "a canteen requires 13 dozen bananas per day . how many bananas will it require for 9 weeks ?", + "Output Program": [ + "n0 = 13.0\nn1 = 9.0\nt0 = 3.0 + 4.0\nt1 = 3.0 * 4.0\nt2 = n1 * t0\nt3 = n0 * t2\nanswer = t3 * t1\nprint(answer)" + ], + "Output Answer": [ + "9828" + ], + "split": "dev" + }, + { + "Input": "a train 800 m long can cross a pole in 10 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 800.0\nn1 = 10.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "288" + ], + "split": "dev" + }, + { + "Input": "during a car trip , maria stopped to rest after she traveled 1 / 2 of the total distance to her destination . she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination , and then she drove the remaining 105 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 1.0\nn3 = 4.0\nn4 = 105.0\nt0 = n0 / n1\nt1 = n0 / n3\nt2 = t0 * t1\nt3 = t0 + t2\nt4 = n0 - t3\nanswer = n4 / t4\nprint(answer)" + ], + "Output Answer": [ + "280" + ], + "split": "dev" + }, + { + "Input": "if 2 / 3 rd of the contents of a container evaporated on the 1 st day . and 1 / 4 th of the remaining evaporated on the second day . what part of the contents of the container is left at the end of the second day ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 1.0\nn3 = 1.0\nn4 = 4.0\nt0 = n0 / n1\nt1 = n2 * n4\nt2 = n1 * n2\nt3 = t1 - t2\nt4 = t3 / t1\nanswer = t4 * t0\nprint(answer)" + ], + "Output Answer": [ + "0.16666666666666666" + ], + "split": "dev" + }, + { + "Input": "in what time will a train 240 metres long cross an electric pole , if its speed be 126 km / hr ?", + "Output Program": [ + "n0 = 240.0\nn1 = 126.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "6.856594329596489" + ], + "split": "dev" + }, + { + "Input": "how long does a train 110 m long travelling at 60 kmph takes to cross a bridge of 200 m in length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 60.0\nn2 = 200.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "18.598512119030477" + ], + "split": "dev" + }, + { + "Input": "two pipes a and b can fill a tank in 24 minutes and 32 minutes respectively . if both the pipes are opened simultaneously , after how much time should b be closed so that the tank is full in 18 minutes ?", + "Output Program": [ + "n0 = 24.0\nn1 = 32.0\nn2 = 18.0\nt0 = 1.0 / n0\nt1 = n2 * t0\nt2 = 1.0 - t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "in what time will a train 175 m long cross an electric pole , it its speed be 180 km / hr ?", + "Output Program": [ + "n0 = 175.0\nn1 = 180.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.499720022398208" + ], + "split": "dev" + }, + { + "Input": "a car runs 375 km in 3 hours . what ' s the car ' s speed ?", + "Output Program": [ + "n0 = 375.0\nn1 = 3.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "125" + ], + "split": "dev" + }, + { + "Input": "two men a and b working together complete a piece of work which it would have taken them respectively 12 and 18 days to complete if they worked separately . they received rs . 149.25 as their payment . find the share of a in the amount they received ?", + "Output Program": [ + "n0 = 12.0\nn1 = 18.0\nn2 = 149.25\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nt3 = t0 / t2\nanswer = n2 * t3\nprint(answer)" + ], + "Output Answer": [ + "89.55" + ], + "split": "dev" + }, + { + "Input": "excluding stoppages , the speed of a train is 45 kmph and including stoppages it is 31 kmph . of how many minutes does the train stop per hour ?", + "Output Program": [ + "n0 = 45.0\nn1 = 31.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "18.666666666666664" + ], + "split": "dev" + }, + { + "Input": "a swimmer can swim in still water at 4 km / h . if the speed of the water current is 1 km / h , how many hours will the swimmer take to swim against the current for 6 km ?", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 6.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "dev" + }, + { + "Input": "a contractor undertook to do a certain piece of work in 6 days . he employed certain number of men , but 5 of them being absent from the very first day , the rest could finish the work in 10 days . the number of men originally employed were :", + "Output Program": [ + "n0 = 6.0\nn1 = 5.0\nn2 = 10.0\nt0 = n1 * n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "one gear of pulley rotates at a speed of 3 rev / sec another gear roates at 5 rev / sec . if both start together after how many seconds will they be together again", + "Output Program": [ + "n0 = 3.0\nn1 = 5.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "dev" + }, + { + "Input": "p , q and r together earn rs . 1710 in 9 days . p and r can earn rs . 600 in 5 days . q and r in 7 days can earn rs . 910 . how much amount does r can earn per day ?", + "Output Program": [ + "n0 = 1710.0\nn1 = 9.0\nn2 = 600.0\nn3 = 5.0\nn4 = 7.0\nn5 = 910.0\nt0 = n2 / n3\nt1 = n5 / n4\nt2 = n0 / n1\nt3 = t0 + t1\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "dev" + }, + { + "Input": "a cistern which could be filled in 8 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ?", + "Output Program": [ + "n0 = 8.0\nt0 = 1.0 / n0\nt1 = 1.0 / 10.0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "40.00000000000001" + ], + "split": "dev" + }, + { + "Input": "two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s . if the circumference of the circle is 630 meters , after what time will they meet at the starting point ?", + "Output Program": [ + "n0 = 7.0\nn1 = 8.0\nn2 = 630.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "dev" + }, + { + "Input": "each of the three people individually can complete a certain job in 3 , 4 , and 6 hours , respectively . what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 6.0\nn3 = 1.0\nn4 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "0.41666666666666663" + ], + "split": "dev" + }, + { + "Input": "the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland , which is 480 miles away . the pilot recognizes that the current engine , which can fly only 6 miles per gallon , will not get him there . by how many miles per gallon must the aircraft \u2019 s fuel efficiency be improved to make the flight to cleveland possible ?", + "Output Program": [ + "n0 = 40.0\nn1 = 480.0\nn2 = 6.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "dev" + }, + { + "Input": "pipe a fills a tank in 12 minutes . pipe b can fill the same tank 3 times as fast as pipe a . if both the pipes are kept open when the tank is empty , how many minutes will it take to fill the tank ?", + "Output Program": [ + "n0 = 12.0\nn1 = 3.0\nt0 = 1.0 / n0\nt1 = n1 / n0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "the speed at which a man can row a boat in still water is 22 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 80 metres ?", + "Output Program": [ + "n0 = 22.0\nn1 = 3.0\nn2 = 80.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "11.519078473722104" + ], + "split": "dev" + }, + { + "Input": "p , q and r together earn rs . 1890 in 9 days . p and r can earn rs . 600 in 5 days . q and r in 7 days can earn rs . 910 . how much amount does r can earn per day ?", + "Output Program": [ + "n0 = 1890.0\nn1 = 9.0\nn2 = 600.0\nn3 = 5.0\nn4 = 7.0\nn5 = 910.0\nt0 = n2 / n3\nt1 = n5 / n4\nt2 = n0 / n1\nt3 = t0 + t1\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "dev" + }, + { + "Input": "a river 2 m deep and 45 m wide is flowing at the rate of 5 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 2.0\nn1 = 45.0\nn2 = 5.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "7500" + ], + "split": "dev" + }, + { + "Input": "a train 300 m long can cross an electric pole in 20 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 300.0\nn1 = 20.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "53.99999999999999" + ], + "split": "dev" + }, + { + "Input": "a train is 385 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length", + "Output Program": [ + "n0 = 385.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "dev" + }, + { + "Input": "the distance between two cities a and b is 330 km . a train starts from a at 8 a . m . and travel towards b at 60 km / hr . another train starts from b at 9 a . m and travels towards a at 75 km / hr . at what time do they meet ?", + "Output Program": [ + "n0 = 330.0\nn1 = 8.0\nn2 = 60.0\nn3 = 9.0\nn4 = 75.0\nt0 = n0 + n4\nt1 = n2 + n4\nt2 = t0 / t1\nanswer = n1 + t2\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "dev" + }, + { + "Input": "there are 10 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?", + "Output Program": [ + "n0 = 10.0\nt0 = n0 + 1.0\nt1 = t0 + 1.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "132" + ], + "split": "dev" + }, + { + "Input": "find the length of the longest pole that can be placed in a room 12 m long 8 m broad and 9 m high .", + "Output Program": [ + "import math\nn0 = 12.0\nn1 = 8.0\nn2 = 9.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = n2**min(2.0, 5)\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = math.sqrt(max(0, t4))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "dev" + }, + { + "Input": "how many seconds will a train 100 meters long take to cross a bridge 170 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 170.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "26.997840172786177" + ], + "split": "dev" + }, + { + "Input": "some persons can do a piece of work in 16 days . two times the number of these people will do half of that work in ?", + "Output Program": [ + "n0 = 16.0\nt0 = 1.0 / 2.0\nt1 = n0 * t0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "a train 140 m long is running at 60 kmph . in how much time wiu it pass a platform 260 m long ?", + "Output Program": [ + "n0 = 140.0\nn1 = 60.0\nn2 = 260.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "23.998080153587715" + ], + "split": "dev" + }, + { + "Input": "a rectangular grassy plot 110 m . by 65 m has a gravel path 2.5 m wide all round it on the inside . find the cost of gravelling the path at 70 paise per sq . metre", + "Output Program": [ + "n0 = 110.0\nn1 = 65.0\nn2 = 2.5\nn3 = 70.0\nt0 = n0 * n1\nt1 = n2 * 2.0\nt2 = n0 - t1\nt3 = n1 - t1\nt4 = t2 * t3\nt5 = t0 - t4\nt6 = n3 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "595" + ], + "split": "dev" + }, + { + "Input": "malar and roja combined will complete a task in 35 days , but malar alone can complete same work in 60 days . calculate in how many days roja can complete this work ?", + "Output Program": [ + "n0 = 35.0\nn1 = 60.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "dev" + }, + { + "Input": "if 30 men take 15 days to to complete a job , in how many days can 25 men finish that work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 15.0\nn2 = 25.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 35 days to complete the same work . then q alone can do it in", + "Output Program": [ + "n0 = 10.0\nn1 = 35.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = t2 / 2.0\nt4 = t3 - t1\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "27.99999999999999" + ], + "split": "dev" + }, + { + "Input": "the ratio between the length and the breadth of a rectangular park is 1 : 3 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 min , then the area of the park ( in sq . m ) is ?", + "Output Program": [ + "n0 = 1.0\nn1 = 3.0\nn2 = 12.0\nn3 = 8.0\nt0 = n0 + n1\nt1 = 2.0 * 3.0\nt2 = t1 * 10.0\nt3 = n2 / t2\nt4 = n3 * t3\nt5 = t4 * 1000.0\nt6 = t5 / t0\nt7 = t6 / 2.0\nt8 = n1 * t7\nanswer = t7 * t8 # area of rectangle\nprint(answer)" + ], + "Output Answer": [ + "120000" + ], + "split": "dev" + }, + { + "Input": "a is twice as good a workman as b and they took 10 days together to do the work b alone can do it in .", + "Output Program": [ + "n0 = 10.0\nt0 = 1.0 + 2.0\nt1 = n0 * t0\nt2 = t1 / 2.0\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "dev" + }, + { + "Input": "the speed at which a man can row a boat in still water is 9 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 60 metres ?", + "Output Program": [ + "n0 = 9.0\nn1 = 3.0\nn2 = 60.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.998560115190788" + ], + "split": "dev" + }, + { + "Input": "the sector of a circle has perimeter 83 cm and central angle 225 o . find its radius ?", + "Output Program": [ + "n0 = 83.0\nn1 = 225.0\nt0 = 3.0 + 4.0\nt1 = 3600.0 / 10.0\nt2 = 10.0 * 2.0\nt3 = t2 + 2.0\nt4 = t3 / t0\nt5 = t4 * 2.0\nt6 = n1 * t5\nt7 = t6 / t1\nt8 = t7 + 2.0\nanswer = n0 / t8\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "dev" + }, + { + "Input": "if a train , travelling at a speed of 90 kmph , crosses a pole in 4 sec , then the length of train is ?", + "Output Program": [ + "n0 = 90.0\nn1 = 4.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "100.008" + ], + "split": "dev" + }, + { + "Input": "james took a 3 - hour bike ride . in the second hour he travlled 12 miles , which was 20 percent farther than he traveled the first hour . if he traveled 25 percent farther in the third hour than he did in the second hour , how many miles did jose travel during the entire ride ?", + "Output Program": [ + "n0 = 3.0\nn1 = 12.0\nn2 = 20.0\nn3 = 25.0\nt0 = 1.0 * 100.0\nt1 = n1 * n3\nt2 = n2 + t0\nt3 = t1 / n2\nt4 = n1 * t0\nt5 = t4 / t2\nt6 = t5 + t3\nanswer = n1 + t6\nprint(answer)" + ], + "Output Answer": [ + "37" + ], + "split": "dev" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 600 resolutions ?", + "Output Program": [ + "n0 = 22.4\nn1 = 600.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "844.7999999999998" + ], + "split": "dev" + }, + { + "Input": "3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 4 men and 2 women will do that task .", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 6.0\nn3 = 2.0\nn4 = 4.0\nn5 = 2.0\nt0 = n1 - n3\nt1 = n2 - n0\nt2 = t0 / t1\nt3 = n4 * t2\nt4 = n2 * t2\nt5 = n5 + t3\nt6 = n3 + t4\nanswer = t5 / t6\nprint(answer)" + ], + "Output Answer": [ + "0.7142857142857143" + ], + "split": "dev" + }, + { + "Input": "it takes avery 3 hours to build a brick wall while tom can do it in 3 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1.0 - t2\nt4 = t3 / t1\nanswer = t4 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "60.000000000000014" + ], + "split": "dev" + }, + { + "Input": "the length of the bridge , which a train 130 metres long and travelling at 45 km / hr can cross in 30 seconds , is", + "Output Program": [ + "n0 = 130.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "245" + ], + "split": "dev" + }, + { + "Input": "how many cuboids of length 5 m , width 3 m and height 2 m can be farmed from a cuboid of 12 m length , 14 m width and 10 m height .", + "Output Program": [ + "n0 = 5.0\nn1 = 3.0\nn2 = 2.0\nn3 = 12.0\nn4 = 14.0\nn5 = 10.0\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = n5 * t0\nt3 = n2 * t1\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "56" + ], + "split": "dev" + }, + { + "Input": "the length of the bridge , which a train 160 m long and traveling at 45 km / hr can cross in 30 sec is ?", + "Output Program": [ + "n0 = 160.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "215" + ], + "split": "dev" + }, + { + "Input": "arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 30 days .", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nn2 = 30.0\nt0 = n2 / n0\nt1 = n1 * t0\nanswer = n2 - t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "10 men and 15 women together can complete a work in 8 days . it takes 100 days for one man alone to complete the same work . how many days will be required for one woman alone to complete the same work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 8.0\nn3 = 100.0\nt0 = n3 * 1.0\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = t0 - t1\nt4 = t0 / t3\nanswer = t4 * t2\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "dev" + }, + { + "Input": "the speed of a boat in still water in 42 km / hr and the rate of current is 4 km / hr . the distance travelled downstream in 44 minutes is :", + "Output Program": [ + "n0 = 42.0\nn1 = 4.0\nn2 = 44.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "33.733333333333334" + ], + "split": "dev" + }, + { + "Input": "convert the 1 / 3 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 1.0\nn1 = 3.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "1.2" + ], + "split": "dev" + }, + { + "Input": "the length of a train and that of a platform are equal . if with a speed of 108 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?", + "Output Program": [ + "n0 = 108.0\nt0 = 60.0 / 1.0\nt1 = n0 * 1000.0\nt2 = t1 / t0\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "900" + ], + "split": "dev" + }, + { + "Input": "convert 0.32 in to a vulgar fraction ?", + "Output Program": [ + "n0 = 0.32\nt0 = 2.0 + 3.0\nt1 = t0 * 2.0\nt2 = t1 * t1\nt3 = n0 * t2\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.32" + ], + "split": "dev" + }, + { + "Input": "a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 12 multiples of 14 , how many multiples of 7 are there in q ?", + "Output Program": [ + "n0 = 14.0\nn1 = 12.0\nn2 = 14.0\nn3 = 7.0\nt0 = n1 * 2.0\nanswer = t0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "23" + ], + "split": "dev" + }, + { + "Input": "a can do a work in 6 days . b can do the same work in 12 days . if both a & b are working together in how many days they will finish the work ?", + "Output Program": [ + "n0 = 6.0\nn1 = 12.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 2 cm when a man gets on it . the mass of man is", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 2.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "dev" + }, + { + "Input": "how long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 625 meters in length ?", + "Output Program": [ + "n0 = 165.0\nn1 = 54.0\nn2 = 625.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "52.66245367037304" + ], + "split": "dev" + }, + { + "Input": "an engine moves at the speed of 30 kmph without any coaches attached to it . speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached . when 9 coaches are attached speed decreases to 18 kmph . what will be the speed of train when 16 coaches are attached .", + "Output Program": [ + "import math\nn0 = 30.0\nn1 = 9.0\nn2 = 18.0\nn3 = 16.0\nt0 = math.sqrt(max(0, n1))\nt1 = math.sqrt(max(0, n3))\nt2 = n0 - n2\nt3 = t2 / t0\nt4 = t3 * t1\nanswer = n0 - t4\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "dev" + }, + { + "Input": "ake can dig a well in 16 days . paul can dig the same well in 24 days . jake , paul and hari together dig the well in 8 days . hari alone can dig the well in", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nn2 = 8.0\nt0 = 1.0 / n2\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = t1 + t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "47.99999999999998" + ], + "split": "dev" + }, + { + "Input": "a man takes twice as long to row a distance against the stream as to row the same distance in favour of the stream . the ratio of the speed of the boat ( in still water ) and the stream is", + "Output Program": [ + "t0 = 1.0 + 2.0\nt1 = 2.0 - 1.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "a can complete the job in 6 hours and b can complete the same job in 3 hours . a works for 1 hour and then b joins and both complete the job . what fraction of the job did b complete", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nn2 = 1.0\nt0 = n0 * n1\nt1 = n0 - n2\nt2 = t1 - n1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.1111111111111111" + ], + "split": "dev" + }, + { + "Input": "in 5 football games thus far this season , barry has run for 98 , 107 , 85 , 89 , and 91 yards . at a minimum , how many yards m will he need to gain this sunday if he wants to keep his season average above 100 yards ?", + "Output Program": [ + "n0 = 5.0\nn1 = 98.0\nn2 = 107.0\nn3 = 85.0\nn4 = 89.0\nn5 = 91.0\nn6 = 100.0\nt0 = n0 + 1.0\nt1 = n1 + n2\nt2 = n3 + t1\nt3 = n6 * t0\nt4 = n4 + t2\nt5 = n5 + t4\nt6 = t3 - t5\nanswer = t6 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "131" + ], + "split": "dev" + }, + { + "Input": "a man sitting in a train which is travelling at 100 kmph observes that a goods train , travelling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed ?", + "Output Program": [ + "n0 = 100.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "dev" + }, + { + "Input": "yesterday it took robert 3 hours to drive from city a to city b . today it took robert 2.5 hours to drive back from city \u0432 to city a along the same route . if he had saved 30 minutes in both trips , the speed for the round trip would be 80 miles per hour . what is the distance between city a and city b ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.5\nn2 = 30.0\nn3 = 80.0\nt0 = n0 + n1\nt1 = t0 - 1.0\nt2 = n3 * t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "dev" + }, + { + "Input": "john can complete a given task in 18 days . jane will take only 12 days to complete the same task . john and jane set out to complete the task by beginning to work together . however , jane was indisposed 6 days before the work got over . in how many days did the work get over from the time john and jane started to work on it together ?", + "Output Program": [ + "n0 = 18.0\nn1 = 12.0\nn2 = 6.0\nt0 = n0 + n1\nt1 = n0 * n1\nt2 = n1 * n2\nt3 = t1 - t2\nt4 = t3 / t0\nanswer = n2 + t4\nprint(answer)" + ], + "Output Answer": [ + "10.8" + ], + "split": "dev" + }, + { + "Input": "a man walks at a rate of 10 mph . after every ten miles , he rests for 7 minutes . how much time does he take to walk 50 miles ?", + "Output Program": [ + "n0 = 10.0\nn1 = 7.0\nn2 = 50.0\nt0 = n2 / n0\nt1 = n1 * 4.0\nt2 = t0 * 60.0\nanswer = t1 + t2\nprint(answer)" + ], + "Output Answer": [ + "328" + ], + "split": "dev" + }, + { + "Input": "it is only in the second option we find the sentence a in continuation with the opening sentence d . sentence a alone explains , why the fear has such enormous effect on the human beings .", + "Output Program": [ + "n0 = 65.0\nn1 = 2.0\nn2 = 29.0\nn3 = 5.0\nt0 = n2 * n3\nt1 = n0 - n2\nt2 = t0 / t1\nt3 = n0 * t2\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "65" + ], + "split": "dev" + }, + { + "Input": "my grandson is about as many days as my son in weeks , and my grandson is as many months as i am in years . my grandson , my son and i together are 120 years . can you tell me my age in years ?", + "Output Program": [ + "n0 = 120.0\nt0 = 10.0 + 10.0\nt1 = n0 / t0\nanswer = t1 * 12.0\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "dev" + }, + { + "Input": "a train traveling at 72 kmph crosses a platform in 35 seconds and a man standing on the platform in 18 seconds . what is the length of the platform in meters ?", + "Output Program": [ + "n0 = 72.0\nn1 = 35.0\nn2 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nt2 = n1 * t1\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" + ], + "Output Answer": [ + "340" + ], + "split": "dev" + }, + { + "Input": "a car averages 30 miles per hour for the first 5 hours of a trip and averages 42 miles per hour for the rest of the trip . if the average speed for the entire trip is 34 miles per hour , how many hours long is the trip ?", + "Output Program": [ + "n0 = 30.0\nn1 = 5.0\nn2 = 42.0\nn3 = 34.0\nt0 = n1 * n3\nt1 = n0 * n1\nt2 = n2 - n3\nt3 = t0 - t1\nt4 = t3 / t2\nanswer = n1 + t4\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "dev" + }, + { + "Input": "if jack walked 6 miles in 1 hour and 15 minutes , what was his rate of walking in miles per hour ?", + "Output Program": [ + "n0 = 6.0\nn1 = 1.0\nn2 = 15.0\nt0 = n2 + 60.0\nt1 = n0 * 60.0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.8" + ], + "split": "dev" + }, + { + "Input": "a 160 meter long train crosses a man standing on the platform in 18 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 160.0\nn1 = 18.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "dev" + }, + { + "Input": "johnson completes a piece of work in 10 days , vincent completes the same work in 40 days . if both of them work together , then the number of days required to complete the work is", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "a flagstaff 17.5 m high casts a shadow of length 40.25 m . the height of the building , which casts a shadow of length 28.75 m under similar conditions will be ?", + "Output Program": [ + "n0 = 17.5\nn1 = 40.25\nn2 = 28.75\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "12.5" + ], + "split": "dev" + }, + { + "Input": "a , b and c , each working alone can complete a job in 6 , 8 and 12 days respectively . if all three of them work together to complete a job and earn $ 1170 , what will be b ' s share of the earnings ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 12.0\nn3 = 1170.0\nt0 = 1 / n1\nt1 = 1 / n0\nt2 = 1 / n2\nt3 = t1 + t0\nt4 = t3 + t2\nt5 = t0 / t4\nanswer = n3 * t5\nprint(answer)" + ], + "Output Answer": [ + "390.00000000000006" + ], + "split": "dev" + }, + { + "Input": "if jack walked 8 miles in 1 hour and 15 minutes , what was his rate of walking in miles per hour ?", + "Output Program": [ + "n0 = 8.0\nn1 = 1.0\nn2 = 15.0\nt0 = n2 + 60.0\nt1 = n0 * 60.0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "6.4" + ], + "split": "dev" + }, + { + "Input": "if a farmer wants to plough a farm field on time , he must plough 120 hectares a day . for technical reasons he ploughed only 85 hectares a day , hence he had to plough 2 more days than he planned and he still has 40 hectares left . what is the area of the farm field and how many days the farmer planned to work initially ?", + "Output Program": [ + "n0 = 120.0\nn1 = 85.0\nn2 = 2.0\nn3 = 40.0\nt0 = n1 * n2\nt1 = n0 - n1\nt2 = n3 + t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "720" + ], + "split": "dev" + }, + { + "Input": "a truck travels 20 miles due north , 30 miles due east , and then 20 miles due north . how many miles is the truck from the starting point ?", + "Output Program": [ + "import math\nn0 = 20.0\nn1 = 30.0\nn2 = 20.0\nt0 = n1 / 2.0\nt1 = n0**min(2.0, 5)\nt2 = t0**min(2.0, 5)\nt3 = t1 + t2\nt4 = math.sqrt(max(0, t3))\nanswer = t4 + t4\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "dev" + }, + { + "Input": "two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 12 seconds . the length of the faster train is", + "Output Program": [ + "n0 = 36.0\nn1 = 45.0\nn2 = 12.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "270.0216" + ], + "split": "dev" + }, + { + "Input": "if the perimeter of a rectangular garden is 1800 m , its length when its breadth is 400 m is ?", + "Output Program": [ + "n0 = 1800.0\nn1 = 400.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "dev" + }, + { + "Input": "sarah is driving to the airport . after driving at 15 miles per hour for one hour , she realizes that if she continues at that same average rate she will be an hour late for her flight . she then travels 60 miles per hour for the rest of the trip , and arrives 30 minutes before her flight departs . how many miles did she drive in all ?", + "Output Program": [ + "n0 = 15.0\nn1 = 60.0\nn2 = 30.0\nt0 = n0 - n2\nanswer = n2 - t0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "dev" + }, + { + "Input": "a certain number of men can finish a piece of work in 100 days . if there were 10 men less , it would take 10 days more for the work to be finished . how many men were there originally ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = n0 / t0\nt2 = 1.0 - t1\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "109.99999999999996" + ], + "split": "dev" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 16 m at the rate of rs . 3 a meter ?", + "Output Program": [ + "import math\nn0 = 16.0\nn1 = 3.0\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "150.79644737231007" + ], + "split": "dev" + }, + { + "Input": "a alone can do a piece of work in 6 days and b alone in 8 days . a and b undertook to do it for rs . 3200 . with the help of c , they completed the work in 3 days . how much is to be paid to c", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 3200.0\nn3 = 3.0\nt0 = 1 / n3\nt1 = 1 / n1\nt2 = 1 / n0\nt3 = t1 + t2\nt4 = t0 - t3\nt5 = n2 * t4\nanswer = n3 * t5\nprint(answer)" + ], + "Output Answer": [ + "400.0000000000002" + ], + "split": "dev" + }, + { + "Input": "a worker can load one truck in 6 hours . a second worker can load the same truck in 4 hours . if both workers load one truck simultaneously while maintaining their constant rates , how long , in hours , will it take them to fill one truck ?", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "2.4000000000000004" + ], + "split": "dev" + }, + { + "Input": "the speed of a boat in still water in 42 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 44 minutes is :", + "Output Program": [ + "n0 = 42.0\nn1 = 5.0\nn2 = 44.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "34.46666666666666" + ], + "split": "dev" + }, + { + "Input": "a is half good a work man as b and together they finish a job in 14 days . in how many days working alone b finish the job ?", + "Output Program": [ + "n0 = 14.0\nt0 = 3.0 / 2.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "dev" + }, + { + "Input": "a rower can row 7 km / h in still water . when the river is running at 2 km / h , it takes the rower 1 hour to row to big rock and back . how many kilometers is it to big rock ?", + "Output Program": [ + "n0 = 7.0\nn1 = 2.0\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t1 / t2\nanswer = t0 * t3\nprint(answer)" + ], + "Output Answer": [ + "3.2142857142857144" + ], + "split": "dev" + }, + { + "Input": "a man , a woman and a boy can together complete a piece of work in 3 days . if a man alone can do it in 6 days and a women alone in 18 days , how long will a boy take to complete the work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nn2 = 18.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t1 + t2\nt4 = t0 - t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "workers at a campaign office have 3000 fliers to send out . if they send out 1 / 5 of them in the morning and 1 / 4 of the remaining ones out during the afternoon , how many are left for the next day ?", + "Output Program": [ + "n0 = 3000.0\nn1 = 1.0\nn2 = 5.0\nn3 = 1.0\nn4 = 4.0\nt0 = n0 / n2\nt1 = n0 - t0\nt2 = t1 / n4\nanswer = t1 - t2\nprint(answer)" + ], + "Output Answer": [ + "1800" + ], + "split": "dev" + }, + { + "Input": "a 24 ' ' x 24 ' ' square metal plate needs to be fixed by a carpenter on to a wooden board . the carpenter uses nails all along the edges of the square such that there are 25 nails on each side of the square . each nail is at the same distance from the neighboring nails . how many nails does the carpenter use ?", + "Output Program": [ + "n0 = 24.0\nn1 = 24.0\nn2 = 25.0\nt0 = n2 - 2.0\nt1 = t0 * 4.0\nanswer = t1 + 4.0\nprint(answer)" + ], + "Output Answer": [ + "96" + ], + "split": "dev" + }, + { + "Input": "20 men can cut 30 trees in 4 hours . if 4 men leave the job , how many trees will be cut in 6 hours ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 4.0\nn3 = 4.0\nn4 = 6.0\nt0 = n1 / n2\nt1 = n0 - n2\nt2 = t0 / n0\nt3 = t2 * t1\nanswer = n4 * t3\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "dev" + }, + { + "Input": "a boat having a length 7 m and breadth 3 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :", + "Output Program": [ + "n0 = 7.0\nn1 = 3.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "210" + ], + "split": "dev" + }, + { + "Input": "in traveling from a dormitory to a certain city , a student went 1 / 3 of the way by foot , 3 / 5 of the way by bus , and the remaining 2 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?", + "Output Program": [ + "n0 = 1.0\nn1 = 3.0\nn2 = 3.0\nn3 = 5.0\nn4 = 2.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 + t1\nt3 = n0 - t2\nt4 = 1 / t3\nanswer = n4 * t4\nprint(answer)" + ], + "Output Answer": [ + "30.000000000000007" + ], + "split": "dev" + }, + { + "Input": "a factory produces 6500 toys per week . if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?", + "Output Program": [ + "n0 = 6500.0\nn1 = 5.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "1300" + ], + "split": "dev" + }, + { + "Input": "length of a rectangular plot is 22 mtr more than its breadth . if the cost of fencin gthe plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 22.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "61" + ], + "split": "dev" + }, + { + "Input": "jim drove 384 miles of a 1200 miles journey . how many more miles does he need to drive to finish his journey ?", + "Output Program": [ + "n0 = 384.0\nn1 = 1200.0\n\nanswer = n1 - n0\nprint(answer)" + ], + "Output Answer": [ + "816" + ], + "split": "dev" + }, + { + "Input": "if 4 men working 10 hours a day earn rs . 800 per week , then 9 men working 6 hours a day will earn how much per week ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nn2 = 800.0\nn3 = 9.0\nn4 = 6.0\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "1080" + ], + "split": "dev" + }, + { + "Input": "a train running at the speed of 100 km / hr crosses a pole in 9 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 100.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "dev" + }, + { + "Input": "if a , b and c together can finish a piece of work in 4 days . a alone in 12 days and b in 18 days , then c alone can do it in ?", + "Output Program": [ + "n0 = 4.0\nn1 = 12.0\nn2 = 18.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 0.25 - t0\nt3 = t2 - t1\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "8.999999999999998" + ], + "split": "dev" + }, + { + "Input": "today mary \u2019 s father is 4 times as old as mary . 3 years ago , he was 5 times as old . how old is mary today ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nn2 = 5.0\nt0 = n1 * n2\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "dev" + }, + { + "Input": "a person can swim in still water at 10 km / h . if the speed of water 8 km / h , how many hours will the man take to swim back against the current for 16 km ?", + "Output Program": [ + "n0 = 10.0\nn1 = 8.0\nn2 = 16.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 65 kilometers , maxwell ' s walking speed is 2 km / h , and brad ' s running speed is 3 km / h . what is the distance traveled by maxwell when they meet in the middle ?", + "Output Program": [ + "n0 = 65.0\nn1 = 2.0\nn2 = 3.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "dev" + }, + { + "Input": "in a 100 m race a beats b by 25 m b beats c by 4 then a beats c by", + "Output Program": [ + "n0 = 100.0\nn1 = 25.0\nn2 = 4.0\nt0 = n0 - n1\nt1 = n0 - n2\nt2 = n0 / t0\nt3 = n0 / t1\nt4 = t2 * t3\nt5 = n0 / t4\nanswer = n0 - t5\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "dev" + }, + { + "Input": "a man swims downstream 60 km and upstream 100 km taking 10 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 60.0\nn1 = 100.0\nn2 = 10.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "a light flashes every 30 seconds , how many times will it flash in ? of an hour ?", + "Output Program": [ + "n0 = 30.0\n\nanswer = 3600.0 / n0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "dev" + }, + { + "Input": "a cat chases a rat 6 hours after the rat runs . cat takes 4 hours to reach the rat . if the average speed of the cat is 90 kmph , what s the average speed of the rat ?", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nn2 = 90.0\nt0 = n0 + n1\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "dev" + }, + { + "Input": "the food in a camp lasts for 10 men for 50 days . if 10 more men join , how many days will the food last ?", + "Output Program": [ + "n0 = 10.0\nn1 = 50.0\nn2 = 10.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "dev" + }, + { + "Input": "a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route . they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up , but the time each route will take is the same . if they will go up the mountain at a rate of 6 miles per day and it will take them two days , how many miles long is the route down the mountain ?", + "Output Program": [ + "n0 = 6.0\nt0 = 3.0 / 2.0\nt1 = n0 * 2.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "a and b are 90 km apart they start to move each other simultaneously a at speed 10 and b at 5 km / hr if every hour they double their speed what is distance that a pass until he meet b ?", + "Output Program": [ + "n0 = 90.0\nn1 = 10.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = t0 * 2.0\nt2 = t0 + t1\nanswer = t0 + t2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "dev" + }, + { + "Input": "a cistern can be filled by a tap in 2 hours while it can be emptied by another tap in 4 hours . if both the taps are opened simultaneously then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "the speed of a train is 90 kmph . what is the distance covered by it in 12 minutes ?", + "Output Program": [ + "n0 = 90.0\nn1 = 12.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "in a garment industry , 12 men working 8 hours per day complete a piece of work in 10 days . to complete the same work in 8 days , working 15 hours a day , the number of men required is :", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 10.0\nn3 = 8.0\nn4 = 15.0\nt0 = n0 * n1\nt1 = n2 * t0\nt2 = t1 / n4\nanswer = t2 / n1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "what is the maximum number of pieces of birthday cake of size 4 \u201d by 4 \u201d that can be cut from a cake 20 \u201d by 20 \u201d ?", + "Output Program": [ + "n0 = 4.0\nn1 = 4.0\nn2 = 20.0\nn3 = 20.0\nt0 = n2 * n2\nt1 = n0 * n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "dev" + }, + { + "Input": "there is a church tower 150 feet tall and another catholic tower at a distance of 350 feet from it which is 200 feet tall . there is one each bird sitting on top of both the towers . they fly at a constant speed and time to reach a grain in b / w the towers at the same time . at what distance from the church is the grain ?", + "Output Program": [ + "n0 = 150.0\nn1 = 350.0\nn2 = 200.0\nt0 = n1 * 2.0\nt1 = n0**min(2.0, 5)\nt2 = n1**min(2.0, 5)\nt3 = n2**min(2.0, 5)\nt4 = t1 + t2\nt5 = t4 - t3\nanswer = t5 / t0\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "dev" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 15 seconds . find the length of the train .", + "Output Program": [ + "n0 = 60.0\nn1 = 15.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "250.00000000000003" + ], + "split": "dev" + }, + { + "Input": "the ` ` racing magic ' ' takes 120 seconds to circle the racing track once . the ` ` charging bull ' ' makes 40 rounds of the track in an hour . if they left the starting point together , how many minutes will it take for them to meet at the starting point for the second time ?", + "Output Program": [ + "n0 = 120.0\nn1 = 40.0\nt0 = 2.0 + 4.0\nanswer = t0 + t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "dev" + }, + { + "Input": "two trains 140 m and 190 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 140.0\nn1 = 190.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.879049676025918" + ], + "split": "dev" + }, + { + "Input": "to fill a tank , 25 buckets of water is required . how many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two - fifth of its present ?", + "Output Program": [ + "n0 = 25.0\nt0 = 1.0 + 4.0\nt1 = n0 * t0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "62.5" + ], + "split": "dev" + }, + { + "Input": "a and b can together finish a work in 40 days . they worked together for 10 days and then b left . after another 21 days , a finished the remaining work . in how many days a alone can finish the job ?", + "Output Program": [ + "n0 = 40.0\nn1 = 10.0\nn2 = 21.0\nt0 = n0 * n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "dev" + }, + { + "Input": "jack and jill work at a hospital with 7 other workers . for an internal review , 2 of the 9 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?", + "Output Program": [ + "import math\nn0 = 7.0\nn1 = 2.0\nn2 = 9.0\nt0 = math.factorial(min(15, int(n2)))\nt1 = math.factorial(min(15, int(n1)))\nt2 = math.factorial(min(15, int(n0)))\nt3 = t1 * t2\nt4 = t0 / t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "0.027777777777777776" + ], + "split": "dev" + }, + { + "Input": "at 3 : 40 , the hour hand and the minute hand of a clock form an angle of", + "Output Program": [ + "n0 = 3.0\nn1 = 40.0\nt0 = n1 / 60.0\nt1 = n0 * 60.0\nt2 = n0 + t0\nt3 = t1 * 2.0\nt4 = t3 / n0\nt5 = t0 * t3\nt6 = t4 / 4.0\nt7 = t2 * t6\nanswer = t5 - t7\nprint(answer)" + ], + "Output Answer": [ + "130" + ], + "split": "dev" + }, + { + "Input": "a and b can finish a work in 10 days while b and c can do it in 18 days . a started the work , worked for 5 days , then b worked for 10 days and the remaining work was finished by c in 15 days . in how many days could c alone have finished the whole work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 18.0\nn2 = 5.0\nn3 = 10.0\nn4 = 15.0\nt0 = n2 / n0\nt1 = n2 / n1\nt2 = t0 + t1\nt3 = 1.0 - t2\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "dev" + }, + { + "Input": "find the length of the wire required to go 15 times round a square field containing 69696 m 2 ?", + "Output Program": [ + "import math\nn0 = 15.0\nn1 = 69696.0\nn2 = 2.0\nt0 = math.sqrt(n1) # square edge given area\nt1 = 4 * t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "15840" + ], + "split": "dev" + }, + { + "Input": "a and b together can complete a piece of work in 10 days . if a alone can complete the same work in 15 days , in how many days , in how many days can b alone complete that work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "29.999999999999993" + ], + "split": "dev" + }, + { + "Input": "a garrison of 2000 men has provisions for 54 days . at the end of 18 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ?", + "Output Program": [ + "n0 = 2000.0\nn1 = 54.0\nn2 = 18.0\nn3 = 20.0\nt0 = n0 * n1\nt1 = n0 * n2\nt2 = t0 - t1\nt3 = t2 / n3\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "1600" + ], + "split": "dev" + }, + { + "Input": "a can finish a piece of work in 4 days . b can do it in 10 days . they work together for two days and then a goes away . in how many days will b finish the work ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 * 2.0\nt3 = t1 * 2.0\nt4 = t2 + t3\nt5 = 1.0 - t4\nanswer = t5 / t1\nprint(answer)" + ], + "Output Answer": [ + "3.0000000000000004" + ], + "split": "dev" + }, + { + "Input": "two trains , a and b , started simultaneously from opposite ends of a 125 - mile route and traveled toward each other on parallel tracks . train a , traveling at a constant rate , completed the 125 - mile trip in 12 hours ; train b , traveling at a constant rate , completed the 125 - mile trip in 8 hours . how many miles had train a traveled when it met train b ?", + "Output Program": [ + "n0 = 125.0\nn1 = 125.0\nn2 = 12.0\nn3 = 125.0\nn4 = 8.0\nt0 = n2 + n4\nt1 = n4 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "dev" + }, + { + "Input": "a van takes 5 hours to cover a distance of 495 km . what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time ?", + "Output Program": [ + "n0 = 5.0\nn1 = 495.0\nn2 = 3.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "66" + ], + "split": "dev" + }, + { + "Input": "a man sitting in a train which is traveling at 36 kmph observes that a goods train , traveling in opposite direction , takes 10 seconds to pass him . if the goods train is 240 m long , find its speed", + "Output Program": [ + "n0 = 36.0\nn1 = 10.0\nn2 = 240.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "50.400000000000006" + ], + "split": "dev" + }, + { + "Input": "a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 15 seconds . what is the length of the platform in meters ?", + "Output Program": [ + "n0 = 72.0\nn1 = 30.0\nn2 = 15.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nt2 = n1 * t1\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "dev" + }, + { + "Input": "brenda and sally run in opposite direction on a circular track , starting at diametrically opposite points . they first meet after brenda has run 50 meters . they next meet after sally has run 150 meters past their first meeting point . each girl runs at a constant speed . what is the length of the track in meters ?", + "Output Program": [ + "n0 = 50.0\nn1 = 150.0\nt0 = n0 * 2.0\nanswer = n1 + t0\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "dev" + }, + { + "Input": "39 men can complete a piece of work in 18 days . in how many days will 27 men complete the same work ?", + "Output Program": [ + "n0 = 39.0\nn1 = 18.0\nn2 = 27.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "dev" + }, + { + "Input": "a metallic sphere of radius 24 cm is melted and drawn into a wire , whose radius of cross section is 16 cm . what is the length of the wire ?", + "Output Program": [ + "n0 = 24.0\nn1 = 16.0\nt0 = n0**min(3.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 / t1\nt3 = t2 * 4.0\nanswer = t3 / 3.0\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "dev" + }, + { + "Input": "the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day . during the first 7 days , his average wages was $ 87 per day and the average wages during the last 7 days was $ 91 per day . what was his wage on the 8 th day ?", + "Output Program": [ + "n0 = 15.0\nn1 = 90.0\nn2 = 7.0\nn3 = 87.0\nn4 = 7.0\nn5 = 91.0\nn6 = 8.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = n2 * n5\nt3 = t1 + t2\nanswer = t0 - t3\nprint(answer)" + ], + "Output Answer": [ + "104" + ], + "split": "dev" + }, + { + "Input": "the length of a room is 9 m and width is 4.75 m . what is the cost of paying the floor by slabs at the rate of rs . 900 per sq . metre .", + "Output Program": [ + "n0 = 9.0\nn1 = 4.75\nn2 = 900.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "38475" + ], + "split": "dev" + }, + { + "Input": "in what time will a train 100 meters long cross an electric pole , if its speed is 72 km / hr", + "Output Program": [ + "n0 = 100.0\nn1 = 72.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.99960003199744" + ], + "split": "dev" + }, + { + "Input": "a rhombus has area 432 sq m , one diagonal is 36 cm . find other diagonal ?", + "Output Program": [ + "n0 = 432.0\nn1 = 36.0\nt0 = n1 / 100.0\nt1 = n0 * 2.0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "2400" + ], + "split": "dev" + }, + { + "Input": "aaron will jog from home at 2 miles per hour and then walk back home by the same route at 4 miles per hour . how many miles from home can aaron jog so that he spends a total of 3 hours jogging and walking ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nn2 = 3.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "a boat can travel with a speed of 22 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 135 km downstream", + "Output Program": [ + "n0 = 22.0\nn1 = 5.0\nn2 = 135.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "a train 150 m long is running at a speed of 68 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?", + "Output Program": [ + "n0 = 150.0\nn1 = 68.0\nn2 = 8.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "8.999280057595392" + ], + "split": "dev" + }, + { + "Input": "convert the 13 / 54 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 13.0\nn1 = 54.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "0.8666666666666666" + ], + "split": "dev" + }, + { + "Input": "annie and sam set out together on bicycles traveling at 15 and 12 km per hour respectively . after 40 minutes , annie stops to fix a flat tire . if it takes annie 30 minutes to fix the flat tire and sam continues to ride during this time , how many minutes will it take annie to catch up with sam assuming that annie resumes riding at 15 km per hour ?", + "Output Program": [ + "n0 = 15.0\nn1 = 12.0\nn2 = 40.0\nn3 = 30.0\nn4 = 15.0\nt0 = n2 / 60.0\nt1 = n0 - n1\nt2 = t0 * t1\nt3 = n1 / t2\nt4 = t3 - t2\nt5 = t4 / t1\nanswer = t5 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "dev" + }, + { + "Input": "a certain industrial loom weaves 0.126 meters of cloth every second . approximately how many seconds will it take for the loom to weave 15 meters of cloth ?", + "Output Program": [ + "n0 = 0.126\nn1 = 15.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "119.04761904761905" + ], + "split": "dev" + }, + { + "Input": "a cistern is normally filled in 8 hrs , but takes 2 hrs longer to fill because of a leak on its bottom , if cistern is full , how much time citern would empty ?", + "Output Program": [ + "n0 = 8.0\nn1 = 2.0\nt0 = n0 + n1\nt1 = 1.0 / n0\nt2 = 1.0 / t0\nt3 = t1 - t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "40.00000000000001" + ], + "split": "dev" + }, + { + "Input": "a man rows his boat 75 km downstream and 45 km upstream , taking 5 hours each time . find the speed of the stream ?", + "Output Program": [ + "n0 = 75.0\nn1 = 45.0\nn2 = 5.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 25 metre of cloth ?", + "Output Program": [ + "n0 = 0.128\nn1 = 25.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "195.3125" + ], + "split": "dev" + }, + { + "Input": "at what time between 5 and 6 o ' clock are the hands of a 3 minutes apart ?", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 3.0\nt0 = n1 + n1\nt1 = n0 + n1\nt2 = n0 * n0\nt3 = t0 / t1\nt4 = t2 - n2\nanswer = t3 * t4\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "dev" + }, + { + "Input": "a train 120 m long is running at 60 kmph . in how much time will it pass a platform 240 m long ?", + "Output Program": [ + "n0 = 120.0\nn1 = 60.0\nn2 = 240.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "21.598272138228943" + ], + "split": "dev" + }, + { + "Input": "a is twice as good a workman as b and together they complete a work in 12 days . in how many days a alone can do the work ?", + "Output Program": [ + "n0 = 12.0\nt0 = 1.0 + 2.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "dev" + }, + { + "Input": "10 women can complete a work in 5 days and 10 children take 10 days to complete the work . how many days will 5 women and 10 children take to complete the work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nn2 = 10.0\nn3 = 10.0\nn4 = 5.0\nn5 = 10.0\nt0 = n0 * n1\nt1 = n0 * n3\nt2 = n4 / t0\nt3 = n0 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "a train passes a platform in 44 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is", + "Output Program": [ + "n0 = 44.0\nn1 = 20.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "360.0288" + ], + "split": "dev" + }, + { + "Input": "how many cubes of 20 cm edge can be put in a cubical box of 1 m edge .", + "Output Program": [ + "n0 = 20.0\nn1 = 1.0\nt0 = n0 / 100.0\nt1 = n1**3\nt2 = t0**3\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "124.99999999999997" + ], + "split": "dev" + }, + { + "Input": "the sum of 4 consecutive even numbers is 140 . what would be the smallest number ?", + "Output Program": [ + "n0 = 4.0\nn1 = 140.0\nt0 = n0 + n0\nt1 = n1 / t0\nt2 = t1 * 2.0\nt3 = t2 - 1.0\nt4 = t3 - 1.0\nanswer = t4 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "dev" + }, + { + "Input": "a person crosses a 1080 m long street in 12 minutes . what is his speed in km per hour ?", + "Output Program": [ + "n0 = 1080.0\nn1 = 12.0\nt0 = n0 / 1000.0\nt1 = n1 * 60.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5.4" + ], + "split": "dev" + }, + { + "Input": "in a kilometer race , if abhishek gives bharti a 40 m start , abhishek wins by 19 sec . but if abhishek gives bharti a 30 sec start , bharti wins by 40 m . find the time taken by bharti to run 5,000 m ?", + "Output Program": [ + "n0 = 40.0\nn1 = 19.0\nn2 = 30.0\nn3 = 40.0\nn4 = 5000.0\nt0 = 1000.0 * 4.0\nt1 = 1000.0 - n0\nt2 = t0 + 1000.0\nt3 = t1 / 1000.0\nt4 = n2 * t3\nt5 = t3**min(2.0, 5)\nt6 = t4 - n1\nt7 = 1.0 - t5\nt8 = t6 / t7\nt9 = t8 * t3\nt10 = n2 + t9\nt11 = t10 / 1000.0\nanswer = t2 * t11\nprint(answer)" + ], + "Output Answer": [ + "749.9999999999997" + ], + "split": "dev" + }, + { + "Input": "a thief is spotted by a policeman from a distance of 150 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ?", + "Output Program": [ + "n0 = 150.0\nn1 = 8.0\nn2 = 10.0\nt0 = n0 * n1\nt1 = n2 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "dev" + }, + { + "Input": "car x began traveling at an average speed of 35 miles per hour . after 72 minutes , car y began traveling at an average speed of 70 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?", + "Output Program": [ + "n0 = 35.0\nn1 = 72.0\nn2 = 70.0\nt0 = n1 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "dev" + }, + { + "Input": "a man sitting in a train which is travelling at 50 kmph observes that a goods train , travelling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed ?", + "Output Program": [ + "n0 = 50.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "dev" + }, + { + "Input": "a train 500 m long can cross an electric pole in 50 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 500.0\nn1 = 50.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "dev" + }, + { + "Input": "how many seconds will a train 140 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 140.0\nn1 = 150.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "28.997680185585153" + ], + "split": "dev" + }, + { + "Input": "on her annual road trip to visit her family in seal beach , california , traci stopped to rest after she traveled 1 \u2044 3 of the total distance and again after she traveled 1 \u2044 4 of the distance remaining between her first stop and her destination . she then drove the remaining 300 miles and arrived safely at her destination . what was the total distance , in miles , from traci \u2019 s starting point to seal beach ?", + "Output Program": [ + "n0 = 1.0\nn1 = 3.0\nn2 = 1.0\nn3 = 4.0\nn4 = 300.0\n\nanswer = n4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "dev" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . find the cost of paying the floor by slabs at the rate of rs . 1200 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 1200.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "24750" + ], + "split": "dev" + }, + { + "Input": "a man sitting in a train which is travelling at 80 kmph observes that a goods train , travelling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed ?", + "Output Program": [ + "n0 = 80.0\nn1 = 9.0\nn2 = 280.0\nt0 = n2 / n1\nt1 = t0 * 3.6\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "dev" + }, + { + "Input": "a man started driving at a constant speed , from the site of a blast , the moment he heard the blast . he heard a second blast after a time of 30 mins and 15 seconds . if the second blast occurred exactly 30 mins after the first , how many meters was he from the site when he heard the second blast ? ( speed of sound = 330 m / s )", + "Output Program": [ + "n0 = 30.0\nn1 = 15.0\nn2 = 30.0\nn3 = 330.0\n\nanswer = n1 * n3\nprint(answer)" + ], + "Output Answer": [ + "4950" + ], + "split": "dev" + }, + { + "Input": "eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 4 hours to complete the journey . if the distance between city a and city b is 510 kms and city a and city c is 300 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 510.0\nn3 = 300.0\nt0 = n2 / n0\nt1 = n3 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "2.2666666666666666" + ], + "split": "dev" + }, + { + "Input": "how many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 120.0\nn1 = 150.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "26.997840172786177" + ], + "split": "dev" + }, + { + "Input": "a man can row 6 kmph in still water . when the river is running at 3 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "dev" + }, + { + "Input": "if the wheel is 12 cm then the number of revolutions to cover a distance of 1056 cm is ?", + "Output Program": [ + "n0 = 12.0\nn1 = 1056.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "14.012738853503185" + ], + "split": "dev" + }, + { + "Input": "a car is 15 minutes late by running at a speed of 4 / 5 th of its actual speed . the actual time taken by the car to cover that distance is :", + "Output Program": [ + "n0 = 15.0\nn1 = 4.0\nn2 = 5.0\n\nanswer = n2 - n1\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "dev" + }, + { + "Input": "a train running at the speed of 27 km / hr crosses a post in 20 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 27.0\nn1 = 20.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "dev" + }, + { + "Input": "a can give b 50 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 50.0\nn1 = 200.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "157.89473684210532" + ], + "split": "dev" + }, + { + "Input": "a mail handler needs 3 hours to sort the mail . his assistant takes 6 hours to sort the mail . how many hours will it take for both of them working together to sort the mail ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "dev" + }, + { + "Input": "a does half as much work as b in 3 - fourth of the time . if together they take 18 days to complete the work , how much time shall b take to do it ?", + "Output Program": [ + "n0 = 3.0\nn1 = 18.0\nt0 = n0 + 2.0\nt1 = n1 * t0\nanswer = t1 / n0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "dev" + }, + { + "Input": "in what time will a train 80 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 80.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "1.9998400127989762" + ], + "split": "dev" + }, + { + "Input": "x can finish a work in 21 days . y can finish the same work in 15 days . yworked for 10 days and left the job . how many days does x alone need to finish the remaining work ?", + "Output Program": [ + "n0 = 21.0\nn1 = 15.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = n2 * t0\nt3 = 1.0 - t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "7.000000000000001" + ], + "split": "dev" + }, + { + "Input": "15 men take 21 days of 8 hrs . each to do a piece of work . how many days of 5 hrs . each would it take for 21 women if 3 women do as much work as 2 men ?", + "Output Program": [ + "n0 = 15.0\nn1 = 21.0\nn2 = 8.0\nn3 = 5.0\nn4 = 21.0\nn5 = 3.0\nn6 = 2.0\nt0 = n6 / n5\nt1 = n0 * n1\nt2 = n1 * n3\nt3 = n2 * t1\nt4 = t0 * t2\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "dev" + }, + { + "Input": "a and b together can complete a work in 12 days . a alone complete it in 20 days . if b does the work only for half a day daily , then in how many days a and b together will complete the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\n\nanswer = n0 + 3.0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "dev" + }, + { + "Input": "the lenght of a room is 5.5 m and width is 4 m . find the cost of paving the floor by slabs at the rate of rs . 950 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 4.0\nn2 = 950.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "20900" + ], + "split": "dev" + }, + { + "Input": "how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 136 m length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 72.0\nn2 = 136.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12.299016078713702" + ], + "split": "dev" + }, + { + "Input": "susan drove an average speed of 30 miles per hour for the first 60 miles of a tripthen at a average speed of 60 miles / hr for the remaining 30 miles of the trip if she made no stops during the trip what was susan ' s avg speed in miles / hr for the entire trip", + "Output Program": [ + "n0 = 30.0\nn1 = 60.0\nn2 = 60.0\nn3 = 30.0\nt0 = n1 + n3\nt1 = n1 / n0\nt2 = n3 / n2\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "dev" + }, + { + "Input": "a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 18 days . in how many days b alone can do the work ?", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\nn2 = 18.0\nt0 = 1 / n2\nt1 = 1 / n0\nt2 = n1 * t1\nt3 = 1.0 - t2\nt4 = t0 * t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "26.999999999999996" + ], + "split": "dev" + }, + { + "Input": "one pipe can fill a tank four times as fast as another pipe . if together the two pipes can fill the tank in 36 minutes , then the slower pipe alone will be able to fill the tank in :", + "Output Program": [ + "n0 = 36.0\nt0 = 1.0 + 4.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "dev" + }, + { + "Input": "a swimmer can swim in still water at 4 km / h . if the speed of the water current is 2 km / h , how many hours will the swimmer take to swim against the current for 5 km ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 5.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "dev" + }, + { + "Input": "if a tire rotates at 400 revolutions per minute when the car is traveling 48 km / h , what is the circumference of the tire ?", + "Output Program": [ + "n0 = 400.0\nn1 = 48.0\nt0 = 2.0 * 3.0\nt1 = t0 * 10.0\nt2 = n0 * t1\nt3 = n1 / t2\nanswer = t3 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "dev" + }, + { + "Input": "the length of the bridge , which a train 140 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 140.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "235" + ], + "split": "dev" + }, + { + "Input": "working together , printer a and printer b would finish the task in 24 minutes . printer a alone would finish the task in 60 minutes . how many pages does the task contain if printer b prints 10 pages a minute more than printer a ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 2.0\nn3 = 1.0\nn4 = 10.0\nn5 = 35.0\nn6 = 4.0\nn7 = 3.0\nn8 = 5.0\nn9 = 3.0\nt0 = n4 + n8\nt1 = n4 * n6\nt2 = t1 / n1\nanswer = t0 + t2\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "dev" + }, + { + "Input": "if 20 men can build a water fountain 56 metres long in 14 days , what length of a similar water fountain can be built by 35 men in 3 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 56.0\nn2 = 14.0\nn3 = 35.0\nn4 = 3.0\nt0 = n0 * n2\nt1 = n3 * n4\nt2 = n1 / t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "dev" + }, + { + "Input": "a fort had provision of food for 150 men for 45 days . after 10 days , 25 men left the fort . find out the number of days for which the remaining food will last .", + "Output Program": [ + "n0 = 150.0\nn1 = 45.0\nn2 = 10.0\nn3 = 25.0\nt0 = n2 + n3\nt1 = n0 - n3\nt2 = n0 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "dev" + }, + { + "Input": "during a given week a programmer spends 1 / 4 of his time preparing flow chart , 3 / 8 of his time coding and the rest of the time in debugging the programs . if he works 48 hours during the week , how many hours did he spend debugging the program .", + "Output Program": [ + "n0 = 1.0\nn1 = 4.0\nn2 = 3.0\nn3 = 8.0\nn4 = 48.0\nt0 = n2 * n4\nanswer = t0 / n3\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "there is enough provisions for 600 men in an army camp for 25 days . if there were 250 men less , how long will the provision last ?", + "Output Program": [ + "n0 = 600.0\nn1 = 25.0\nn2 = 250.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "dev" + }, + { + "Input": "in what time will a train 200 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 200.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.99960003199744" + ], + "split": "dev" + }, + { + "Input": "walking at 3 / 4 of her normal speed , a worker is 8 minutes later than usual in reaching her office . the usual time ( in minutes ) taken by her to cover the distance between her home and her office is", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 8.0\n\nanswer = n0 * n2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "dev" + }, + { + "Input": "two trains of length 100 meters and 200 meters are 450 meters apart . they are moving towards each other on parallel tracks , at speeds of 90 km / h and 72 km / h . after how many seconds will the trains meet ?", + "Output Program": [ + "n0 = 100.0\nn1 = 200.0\nn2 = 450.0\nn3 = 90.0\nn4 = 72.0\nt0 = n3 + n4\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "9.99920006399488" + ], + "split": "dev" + }, + { + "Input": "a train is 360 meter long is running at a speed of 52 km / hour . in what time will it pass a bridge of 140 meter length .", + "Output Program": [ + "n0 = 360.0\nn1 = 52.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "34.61538461538461" + ], + "split": "dev" + }, + { + "Input": "a man , a woman and a boy can together complete a piece of work in 3 days . if a woman alone can do it in 6 days and a boy alone in 18 days , how long will a man take to complete the work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nn2 = 18.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t1 + t2\nt4 = t0 - t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "a cyclist covers a distance of 750 m in 2 min 30 sec . what is the speed in km / hr of the cyclist ?", + "Output Program": [ + "n0 = 750.0\nn1 = 2.0\nn2 = 30.0\nt0 = n1 * 60.0\nt1 = n2 + t0\nt2 = n0 / t1\nanswer = t2 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "a train running at the speed of 70 km / hr crosses a pole in 9 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 70.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "175" + ], + "split": "dev" + }, + { + "Input": "on my sister ' s birthday , she was 126 cm in height , having grown 5 % since the year before . how tall was she the previous year ?", + "Output Program": [ + "n0 = 126.0\nn1 = 5.0\nt0 = n0 * n1\nt1 = t0 / 100.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "119.7" + ], + "split": "dev" + }, + { + "Input": "a train moves with a speed of 216 kmph . its speed in metres per second is", + "Output Program": [ + "n0 = 216.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "60.004799999999996" + ], + "split": "dev" + }, + { + "Input": "800 men have provisions for 20 days . if 200 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 800.0\nn1 = 20.0\nn2 = 200.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "dev" + }, + { + "Input": "a train crosses a platform of 200 m in 15 sec , same train crosses another platform of length 300 m in 20 sec . then find the length of the train ?", + "Output Program": [ + "n0 = 200.0\nn1 = 15.0\nn2 = 300.0\nn3 = 20.0\nt0 = n1 / 3.0\nt1 = n1 / t0\nt2 = n3 / t0\nt3 = n2 * t1\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "dev" + }, + { + "Input": "one man can do a piece of work in 10 days . one boys join him & he complete the work in 6 days . if he gets 50 rs for his work then what will be the share of the boy .", + "Output Program": [ + "n0 = 10.0\nn1 = 6.0\nn2 = 50.0\nt0 = n0 / 4.0\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops . working together , how long will it take earl and ellen to stuff 240 envelopes", + "Output Program": [ + "n0 = 36.0\nn1 = 240.0\nt0 = 3.0 / 2.0\nt1 = n0 / t0\nt2 = n0 + t1\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "hcf and lcm two numbers are 16 and 396 respectively . if one of the numbers is 36 , then the other number is ?", + "Output Program": [ + "n0 = 16.0\nn1 = 396.0\nn2 = 36.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "176" + ], + "split": "dev" + }, + { + "Input": "a 10000 liter tank , half - full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes . at the same time , the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes . how many minutes does it take to fill the tank completely ?", + "Output Program": [ + "n0 = 10000.0\nn1 = 1.0\nn2 = 2.0\nn3 = 1.0\nn4 = 4.0\nn5 = 6.0\nt0 = n4 + n5\nt1 = n0 / n2\nt2 = n2 + t0\nt3 = t2 * t1\nanswer = t3 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "dev" + }, + { + "Input": "amar takes as much time in running 18 meters as a car takes in covering 12 meters . what will be the distance covered by amar during the time the car covers 1.6 km ?", + "Output Program": [ + "n0 = 18.0\nn1 = 12.0\nn2 = 1.6\nt0 = n2 * 1000.0\nt1 = n0 * t0\nanswer = t1 / n1\nprint(answer)" + ], + "Output Answer": [ + "2400" + ], + "split": "dev" + }, + { + "Input": "with both valves open , the pool will be filled with water in 48 minutes . the first valve alone would fill the pool in 2 hours . if the second valve emits 50 cubic meters of water more than the first every minute , then what is the capacity w of the pool ?", + "Output Program": [ + "n0 = 48.0\nn1 = 2.0\nn2 = 50.0\nt0 = 1.0 + 4.0\nt1 = n0 / 60.0\nt2 = t0 * t1\nt3 = t2 * 60.0\nanswer = n2 * t3\nprint(answer)" + ], + "Output Answer": [ + "12000" + ], + "split": "dev" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 14 cm .", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 14.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "266" + ], + "split": "dev" + }, + { + "Input": "a can complete a project in 20 days and b can complete the same project in 40 days . if a and b start working on the project together and a quits 10 days before the project is completed , in how many days will the project be completed ?", + "Output Program": [ + "n0 = 20.0\nn1 = 40.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t1 + t0\nt3 = n2 * t0\nt4 = 1.0 - t3\nt5 = t4 / t2\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "a can finish a work in 12 days and b can do same work in half the time taken by a . then working together , what part of same work they can finish in a day ?", + "Output Program": [ + "n0 = 12.0\nt0 = 1.0 / n0\nt1 = t0 * 2.0\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "0.25" + ], + "split": "dev" + }, + { + "Input": "a train 150 m long can cross an electric pole in 3 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 150.0\nn1 = 3.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "179.99999999999997" + ], + "split": "dev" + }, + { + "Input": "225 mtrs long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees ?", + "Output Program": [ + "n0 = 225.0\nn1 = 26.0\nn2 = 2.0\nt0 = n1 - 1.0\nt1 = n0 / t0\nanswer = t1 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "the rate of spin of a certain gyroscope doubled every 15 seconds from the moment a particular stopwatch started . if after a minute and a half the gyroscope reached a speed of 400 meters per second , what was the speed , in meters per second , when the stopwatch was started ?", + "Output Program": [ + "n0 = 15.0\nn1 = 400.0\nt0 = 60.0 / 2.0\nt1 = t0 + 60.0\nt2 = t1 / n0\nt3 = t2 - 1.0\nt4 = 2.0**min(t3, 5)\nt5 = n1 / t4\nanswer = t5 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "6.25" + ], + "split": "dev" + }, + { + "Input": "a boat having a length 8 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :", + "Output Program": [ + "n0 = 8.0\nn1 = 2.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "160" + ], + "split": "dev" + }, + { + "Input": "lloyd normally works 7.5 hours per day and earns $ 4.00 per hour . for each hour he works in excess of 7.5 hours on a given day , he is paid 1.5 times his regular rate . if lloyd works 10.5 hours on a given day , how much does he earn for that day ?", + "Output Program": [ + "n0 = 7.5\nn1 = 4.0\nn2 = 7.5\nn3 = 1.5\nn4 = 10.5\nt0 = n0 * n1\nt1 = n4 - n0\nt2 = n3 * t1\nt3 = n1 * t2\nanswer = t0 + t3\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "dev" + }, + { + "Input": "a tank is filled by 3 pipes a , b , c in 3 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nt0 = 2.0 * 2.0\nt1 = t0 + 2.0\nt2 = t1 + 1.0\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "dev" + }, + { + "Input": "a cistern has a leak which would empty the cistern in 20 minutes . a tap is turned on which admits 4 liters a minute into the cistern , and it is emptied in 24 minutes . how many liters does the cistern hold ? a . 480 liters", + "Output Program": [ + "n0 = 20.0\nn1 = 4.0\nn2 = 24.0\n\nanswer = n0 * n2\nprint(answer)" + ], + "Output Answer": [ + "480" + ], + "split": "dev" + }, + { + "Input": "from an island , it is possible to reach the mainland by either ferry p or ferry q . ferry p travels for 3 hours at 8 kilometers per hour , while ferry q takes a route that is two times longer . if ferry p is slower than ferry q by 4 kilometers per hour , how many hours longer is the journey of ferry q compared with the journey of ferry p ?", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = 2.0 * n1\nt2 = t1 * 3.0\nt3 = t2 / t0\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "dev" + }, + { + "Input": "convert 0.34 in to a vulgar fraction ?", + "Output Program": [ + "n0 = 0.34\nt0 = 2.0 + 3.0\nt1 = t0 * 2.0\nt2 = t1 * t1\nt3 = n0 * t2\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.34" + ], + "split": "dev" + }, + { + "Input": "a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds . what is the length of the train in meters ?", + "Output Program": [ + "n0 = 100.0\nn1 = 64.0\nn2 = 40.0\nt0 = n0 - n1\nt1 = t0 * 0.2778\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "400.032" + ], + "split": "dev" + }, + { + "Input": "a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 350 m long platform ?", + "Output Program": [ + "n0 = 36.0\nn1 = 12.0\nn2 = 350.0\nt0 = n0 * 0.2778\nt1 = n1 * t0\nt2 = n2 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "46.99720022398208" + ], + "split": "dev" + }, + { + "Input": "every day daniel drives 60 miles back from work . on sunday , daniel drove all the way back from work at a constant speed of x miles per hour . on monday , daniel drove the first 32 miles back from work at ( 2 x ) miles per hour , and the rest of the way at ( x / 2 ) miles per hour . the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent ?", + "Output Program": [ + "n0 = 60.0\nn1 = 32.0\nn2 = 2.0\nn3 = 2.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = t1 * n2\nt3 = t0 + t2\nt4 = t3 - n0\nt5 = t4 / n0\nanswer = t5 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "a goods train runs at the speed of 72 km / hr and crosses a 270 m long platform in 26 sec . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 270.0\nn2 = 26.0\nt0 = n0 / 3600.0\nt1 = t0 * 1000.0\nt2 = n2 * t1\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "dev" + }, + { + "Input": "the volume of water inside a swimming pool doubles every hour . if the pool is filled to its full capacity within 8 hours , in how many hours was it filled to one quarter of its capacity ?", + "Output Program": [ + "n0 = 8.0\nt0 = n0 - 1.0\nanswer = t0 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "dev" + }, + { + "Input": "a train 200 m long can cross an electric pole in 5 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 200.0\nn1 = 5.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "144" + ], + "split": "dev" + }, + { + "Input": "a person crosses a 800 m long street in 5 minutes . what is his speed in km per hour ?", + "Output Program": [ + "n0 = 800.0\nn1 = 5.0\nt0 = n0 / 1000.0\nt1 = n1 * 60.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "9.600000000000001" + ], + "split": "dev" + }, + { + "Input": "in a 100 m race , sam beats john by 5 seconds . on the contrary , if sam allowed john to start 15 m ahead of sam , then sam and john reach the finishing point at the same time . how long does sam take to run the 100 m race ?", + "Output Program": [ + "n0 = 100.0\nn1 = 5.0\nn2 = 15.0\nn3 = 100.0\nt0 = n0 - n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "dev" + }, + { + "Input": "a 150 meter long train crosses a man standing on the platform in 3 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 150.0\nn1 = 3.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "dev" + }, + { + "Input": "aa is two digit number then m times its cube of aa has 1 in its tens place then what is m .", + "Output Program": [ + "n0 = 1.0\nt0 = 3.0 + 4.0\nt1 = n0 + 10.0\nt2 = t1**min(3.0, 5)\nt3 = t0 * t2\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "dev" + }, + { + "Input": "the curved surface of a sphere is 64 \u03c0 cm 2 . find its radius ?", + "Output Program": [ + "import math\nn0 = 64.0\nn1 = 2.0\nt0 = n0 / 4.0\nanswer = math.sqrt(max(0, t0))\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "a woman complete a journey in 5 hours . she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km .", + "Output Program": [ + "n0 = 5.0\nn1 = 21.0\nn2 = 24.0\nt0 = n1 + n2\nt1 = n0 * n2\nt2 = t1 / t0\nt3 = n1 * t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "112" + ], + "split": "dev" + }, + { + "Input": "how many shots of 1 cm radius can be prepared from a sphere of 6 cm radius ?", + "Output Program": [ + "n0 = 1.0\nn1 = 6.0\nt0 = n1**min(2.0, 5)\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "216" + ], + "split": "dev" + }, + { + "Input": "a man can do a piece of work in 5 days , but with the help of his son , he can finish it in 4 days . in what time can the son do it alone ?", + "Output Program": [ + "n0 = 5.0\nn1 = 4.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "find the length of the wire required to go 11 times round a square field containing 27889 m 2 .", + "Output Program": [ + "import math\nn0 = 11.0\nn1 = 27889.0\nn2 = 2.0\nt0 = math.sqrt(n1) # square edge given area\nt1 = 4 * t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "7348" + ], + "split": "dev" + }, + { + "Input": "if 7 spiders make 7 webs in 7 days , then how many days are needed for 1 spider to make 1 web ?", + "Output Program": [ + "n0 = 7.0\nn1 = 7.0\nn2 = 7.0\nn3 = 1.0\nn4 = 1.0\n\nanswer = n0 * n3\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "dev" + }, + { + "Input": "a man swims downstream 24 km and upstream 16 km taking 4 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 24.0\nn1 = 16.0\nn2 = 4.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "a alone can do a piece of work in 6 days and b alone in 8 days . a and b undertook to do it for rs . 6000 . with the help of c , they completed the work in 3 days . how much is to be paid to c ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 6000.0\nn3 = 3.0\nt0 = 1 / n3\nt1 = 1 / n1\nt2 = 1 / n0\nt3 = t1 + t2\nt4 = t0 - t3\nt5 = n2 * t4\nanswer = n3 * t5\nprint(answer)" + ], + "Output Answer": [ + "750.0000000000003" + ], + "split": "dev" + }, + { + "Input": "an aeroplane covers a certain distance of 670 kmph in 6 hours . to cover the same distance in 6 1 / 4 hours , it must travel at a speed of", + "Output Program": [ + "n0 = 670.0\nn1 = 6.0\nn2 = 6.0\nn3 = 1.0\nn4 = 4.0\nt0 = n0 * n1\nt1 = n2 * n4\nt2 = n3 + t1\nt3 = t2 / n4\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "643.2" + ], + "split": "dev" + }, + { + "Input": "ajay can walk 7 km in 1 hour . in how many hours he can walk 80 km ?", + "Output Program": [ + "n0 = 7.0\nn1 = 1.0\nn2 = 80.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "11.428571428571429" + ], + "split": "dev" + }, + { + "Input": "130 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 5 women and 10 children take to complete the work ?", + "Output Program": [ + "n0 = 130.0\nn1 = 7.0\nn2 = 10.0\nn3 = 14.0\nn4 = 5.0\nn5 = 10.0\nt0 = n0 * n1\nt1 = n0 * n3\nt2 = n4 / t0\nt3 = n0 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "13.000000000000002" + ], + "split": "dev" + }, + { + "Input": "the length of a side of a hexagon is 7 inches . what is the perimeter ?", + "Output Program": [ + "n0 = 7.0\nt0 = 2.0 * 3.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "dev" + }, + { + "Input": "a hiker walked for 3 days . she walked 18 miles on the first day , walking 3 miles per hour . on the second day she walked for one less hour but she walked one mile per hour , faster than on the first day . on the third day 5 miles per hour for 6 hours . how many miles in total did she walk ?", + "Output Program": [ + "n0 = 3.0\nn1 = 18.0\nn2 = 3.0\nn3 = 5.0\nn4 = 6.0\nt0 = n3 * 4.0\nt1 = n3 * n4\nt2 = n1 + t0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "68" + ], + "split": "dev" + }, + { + "Input": "a train running at the speed of 48 km / hr crosses a pole in 9 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 48.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "dev" + }, + { + "Input": "a man can row upstream at 25 kmph and downstream at 45 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 25.0\nn1 = 45.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "dev" + }, + { + "Input": "a train 250 m long running at 72 kmph crosses a platform in 25 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 250.0\nn1 = 72.0\nn2 = 25.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "250.04000000000002" + ], + "split": "dev" + }, + { + "Input": "a train overtakes two persons who are walking in the same direction in which the train is going , at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively . find the length of train ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nn2 = 9.0\nn3 = 10.0\nt0 = n2 / 3600.0\nt1 = n3 / 3600.0\nt2 = n0 * t0\nt3 = n1 * t1\nt4 = t0 - t1\nt5 = t2 - t3\nt6 = t5 / t4\nt7 = t6 - n0\nt8 = t0 * t7\nanswer = t8 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "49.999999999999986" + ], + "split": "dev" + }, + { + "Input": "a 80 cm long wire is to be cut into two pieces so that one piece will be 3 / 5 th of the other , how many centimeters will the shorter piece be ?", + "Output Program": [ + "n0 = 80.0\nn1 = 3.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = t0 + 1.0\nt2 = n0 / t1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "dev" + }, + { + "Input": "a train is 485 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length", + "Output Program": [ + "n0 = 485.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "dev" + }, + { + "Input": "a train moves with a speed of 135 kmph . its speed in metres per second is", + "Output Program": [ + "n0 = 135.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "37.503" + ], + "split": "dev" + }, + { + "Input": "a factory produces 6400 toys per week . if the workers at this factory work 3 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?", + "Output Program": [ + "n0 = 6400.0\nn1 = 3.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "2133.3333333333335" + ], + "split": "dev" + }, + { + "Input": "walking at 5 / 6 th of its usual speed a cab is 15 mnts late . find its usual time to cover the journey ?", + "Output Program": [ + "n0 = 5.0\nn1 = 6.0\nn2 = 15.0\n\nanswer = n0 * n2\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "dev" + }, + { + "Input": "two trains each 180 m in length are running on the same parallel lines in opposite directions with the speed of each 80 kmph . in what time will they cross each other completely ?", + "Output Program": [ + "n0 = 180.0\nn1 = 80.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "8.099352051835853" + ], + "split": "dev" + }, + { + "Input": "20 buckets of water fill a tank when the capacity of each bucket is 13.5 litres . how many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres ?", + "Output Program": [ + "n0 = 20.0\nn1 = 13.5\nn2 = 9.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "dev" + }, + { + "Input": "a train running at the speed of 72 km / hr crosses a pole in 9 seconds . find the length of the train .", + "Output Program": [ + "n0 = 72.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "dev" + }, + { + "Input": "rahul and sham together can complete a task in 35 days , but rahul alone can complete same work in 60 days . calculate in how many days sham can complete this work ?", + "Output Program": [ + "n0 = 35.0\nn1 = 60.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "84" + ], + "split": "dev" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 6 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 6.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "dev" + }, + { + "Input": "a man swims downstream 30 km and upstream 20 km taking 5 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 30.0\nn1 = 20.0\nn2 = 5.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "dev" + }, + { + "Input": "two bullet train s 140 m and 180 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time ( in seconds ) which they take to cross each other , is :", + "Output Program": [ + "n0 = 140.0\nn1 = 180.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.519078473722104" + ], + "split": "dev" + }, + { + "Input": "a room of 5 m 44 cm long and 3 m 74 cm broad is to be paved with squre tiles . find the least number of squre tiles required to cover the floor ?", + "Output Program": [ + "n0 = 5.0\nn1 = 44.0\nn2 = 3.0\nn3 = 74.0\nt0 = n0 * 100.0\nt1 = n2 * 100.0\nt2 = 2.0**min(4.0, 5)\nt3 = n1 + t0\nt4 = n3 + t1\nt5 = t3 / t2\nt6 = t3 * t4\nt7 = t5**min(2.0, 5)\nanswer = t6 / t7\nprint(answer)" + ], + "Output Answer": [ + "176" + ], + "split": "dev" + }, + { + "Input": "if 40 sheep eat 40 bags of grass in 40 days . in how many days one sheep will eat one bag of grass ?", + "Output Program": [ + "n0 = 40.0\nn1 = 40.0\nn2 = 40.0\nt0 = n0 * n0\nt1 = n0 * t0\nt2 = t1 / n0\nanswer = t2 / n0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "dev" + }, + { + "Input": "a train 560 m long , running with a speed of 63 km / hr will pass a tree in ?", + "Output Program": [ + "n0 = 560.0\nn1 = 63.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "dev" + }, + { + "Input": "9 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?", + "Output Program": [ + "n0 = 9.0\nn1 = 8.0\nn2 = 30.0\nn3 = 50.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n3 * t1\nt3 = t2 / n4\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "dev" + }, + { + "Input": "a building contractor employs 20 male , 15 female and 5 child workers . to a male worker he pays rs . 25 per day , to a female worker rs . 20 per day and a child worker rs . 8 per day . the average wage per day paid by the contractor is ?", + "Output Program": [ + "n0 = 20.0\nn1 = 15.0\nn2 = 5.0\nn3 = 25.0\nn4 = 20.0\nn5 = 8.0\nt0 = n0 + n1\nt1 = n0 * n3\nt2 = n0 * n1\nt3 = n2 * n5\nt4 = t1 + t2\nt5 = n2 + t0\nt6 = t4 + t3\nanswer = t6 / t5\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "dev" + }, + { + "Input": "john left home and drove at the rate of 45 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination . how many miles did john drive ?", + "Output Program": [ + "n0 = 45.0\nn1 = 2.0\nn2 = 3.0\nn3 = 45.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "225" + ], + "split": "dev" + }, + { + "Input": "john and david work at a hospital with 8 other workers . for an internal review , 2 of the 8 workers will be randomly chosen to be interviewed . what is the probability that john and david will both be chosen ?", + "Output Program": [ + "n0 = 8.0\nn1 = 2.0\nn2 = 8.0\nt0 = 1.0 / n0\nt1 = n0 - 1.0\nt2 = 1.0 / t1\nt3 = t2 * t0\nanswer = n1 * t3\nprint(answer)" + ], + "Output Answer": [ + "0.03571428571428571" + ], + "split": "dev" + }, + { + "Input": "maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 72 kilometers , maxwell ' s walking speed is 6 km / h , and brad ' s running speed is 12 km / h . what is the distance traveled by maxwell when they meet in the middle ?", + "Output Program": [ + "n0 = 72.0\nn1 = 6.0\nn2 = 12.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "dev" + }, + { + "Input": "a train 250 m long passed a pole in 10 sec . how long will it take to pass a platform 1250 m long ?", + "Output Program": [ + "n0 = 250.0\nn1 = 10.0\nn2 = 1250.0\nt0 = n0 + n2\nt1 = n0 / n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "dev" + }, + { + "Input": "a man fell in a 30 meter deep well , in one day he climbs 4 meters up and slips 3 meters down . how many days would it take for him to come out of the well ?", + "Output Program": [ + "n0 = 30.0\nn1 = 4.0\nn2 = 3.0\n\nanswer = n0 - n2\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "dev" + }, + { + "Input": "a can do a half of certain work in 70 days and b one third of the same in 35 days . they together will do the whole work in ?", + "Output Program": [ + "n0 = 70.0\nn1 = 35.0\nt0 = n0 * 2.0\nt1 = n1 * 3.0\nt2 = 1 / t0\nt3 = 1 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "0.016666666666666666" + ], + "split": "dev" + }, + { + "Input": "a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late . had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late . what is the speed w of the train .", + "Output Program": [ + "n0 = 50.0\nn1 = 3.0\nn2 = 4.0\nn3 = 35.0\nn4 = 24.0\nn5 = 25.0\nt0 = n2 * n4\nt1 = n3 - n5\nt2 = n0 + t1\nt3 = t0 / n1\nt4 = t2 / t1\nt5 = t3 - n4\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "dev" + }, + { + "Input": "amit and ananthu can do a work in 10 days and 20 days respectively . amit started the work and left after 2 days . ananthu took over and completed the work . in how many days was the total work completed ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 2.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 * 2.0\nt3 = 1.0 - t2\nt4 = t3 / t1\nanswer = t4 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "a train is 360 meter long is running at a speed of 50 km / hour . in what time will it pass a bridge of 140 meter length ?", + "Output Program": [ + "n0 = 360.0\nn1 = 50.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "dev" + }, + { + "Input": "two pipes a and b can fill a tank in 36 hours and 46 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ?", + "Output Program": [ + "n0 = 36.0\nn1 = 46.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "20.195121951219512" + ], + "split": "dev" + }, + { + "Input": ". a car covers a distance of 810 km in 5 hours . find its speed ?", + "Output Program": [ + "n0 = 810.0\nn1 = 5.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "162" + ], + "split": "dev" + }, + { + "Input": "a train 360 m long is running at a speed of 45 kmph . in what time will it pass a bridge 140 m long ?", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 / 3.6\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "dev" + }, + { + "Input": "find the area of a cuboid of length 8 cm , breadth 6 cm . and height 9 cm .", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 9.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "432" + ], + "split": "dev" + }, + { + "Input": "a car traveling at a certain constant speed takes 4 seconds longer to travel 1 km than it would take to travel 1 km at 80 km / hour . at what speed , in km / hr , is the car traveling ?", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 1.0\nn3 = 80.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "73.46938775510205" + ], + "split": "dev" + }, + { + "Input": "to asphalt 1 km road , 30 men spent 12 days working 8 hours per day . how many days , 20 men will spend to asphalt a road of 2 km working 8 hours a day ?", + "Output Program": [ + "n0 = 1.0\nn1 = 30.0\nn2 = 12.0\nn3 = 8.0\nn4 = 20.0\nn5 = 2.0\nn6 = 8.0\nt0 = n1 * n2\nt1 = n4 * n6\nt2 = n3 * t0\nt3 = n5 * t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "dev" + }, + { + "Input": "in a garden , 26 trees are planted at equal distances along a yard 700 metres long , one tree being at each end of the yard . what is the distance between two consecutive trees ?", + "Output Program": [ + "n0 = 26.0\nn1 = 700.0\nt0 = n0 - 1.0\nanswer = n1 / t0\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "dev" + }, + { + "Input": "if 7 cats can kill 7 rats in 7 minutes , how long will it take 100 cats to kill 100 rats ?", + "Output Program": [ + "n0 = 7.0\nn1 = 7.0\nn2 = 7.0\nn3 = 100.0\nn4 = 100.0\n\nanswer = n0 * 1.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "dev" + }, + { + "Input": "a boat having a length 9 m and breadth 3 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :", + "Output Program": [ + "n0 = 9.0\nn1 = 3.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "270" + ], + "split": "dev" + }, + { + "Input": "how many seconds will a 450 metre long train take to cross a man running with a speed of 6 km / hr in the direction of the moving train if the speed of the train is 60 km / hr ?", + "Output Program": [ + "n0 = 450.0\nn1 = 6.0\nn2 = 60.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "29.997600191984642" + ], + "split": "dev" + }, + { + "Input": "two bullet train s 140 m and 200 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time ( in seconds ) which they take to cross each other , is :", + "Output Program": [ + "n0 = 140.0\nn1 = 200.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "12.239020878329734" + ], + "split": "dev" + }, + { + "Input": "in what time will a train 50 m long cross an electric pole , it its speed be 360 km / hr ?", + "Output Program": [ + "n0 = 50.0\nn1 = 360.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.49996000319974404" + ], + "split": "dev" + }, + { + "Input": "a farmer has enough food to feed her 1000 cows for 50 days . after 10 days some of the cows run away and the food was now enough for the same period of 50 days as before . how many cows ran away ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 50.0\nn2 = 10.0\nn3 = 50.0\nt0 = 1.0 / n1\nt1 = n1 - n2\nt2 = t0 * t1\nt3 = 1.0 - t2\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "199.99999999999994" + ], + "split": "dev" + }, + { + "Input": "a certain number of men can do a work in 60 days . if there were 8 men less it could be finished in 10 days more . how many men are there ?", + "Output Program": [ + "n0 = 60.0\nn1 = 8.0\nn2 = 10.0\nt0 = n0 + n2\nt1 = n1 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "56" + ], + "split": "dev" + }, + { + "Input": "a train 100 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train . find the speed of the train ?", + "Output Program": [ + "n0 = 100.0\nn1 = 6.0\nn2 = 5.0\nt0 = n0 / n1\nt1 = t0 / 0.2778\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "54.99520038396929" + ], + "split": "dev" + }, + { + "Input": "a is twice as good a workman as b and they took 6 days together to do the work b alone can do it in .", + "Output Program": [ + "n0 = 6.0\nt0 = 1.0 + 2.0\nt1 = n0 * t0\nt2 = t1 / 2.0\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "donovan and michael are racing around a circular 400 - meter track . if donovan runs each lap in 45 seconds and michael runs each lap in 36 seconds , how many laps will michael have to complete in order to pass donovan , assuming they start at the same time ?", + "Output Program": [ + "n0 = 400.0\nn1 = 45.0\nn2 = 36.0\nt0 = n0 / n2\nt1 = n0 / n1\nt2 = t0 - t1\nt3 = n0 / t2\nanswer = t3 / n2\nprint(answer)" + ], + "Output Answer": [ + "5.000000000000002" + ], + "split": "dev" + }, + { + "Input": "if 3 people can do 3 times of a particular work in 3 days , then how many days would it take 9 people to do 9 times of that particular work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 3.0\nn3 = 9.0\nn4 = 9.0\nt0 = n3 / n3\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "a bullet train 160 m long is running with a speed of 70 kmph . in what time will it pass a man who is running at 8 kmph in the direction opposite to that in which the bullet train is going ?", + "Output Program": [ + "n0 = 160.0\nn1 = 70.0\nn2 = 8.0\nt0 = n1 + n2\nt1 = t0 * 1000.0\nt2 = t1 / 3600.0\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.384615384615384" + ], + "split": "dev" + }, + { + "Input": "in a kilometer race , a beats b by 52 meters or 18 seconds . what time does a take to complete the race ?", + "Output Program": [ + "n0 = 52.0\nn1 = 18.0\nt0 = n0 / n1\nt1 = 1.0 * 1000.0\nt2 = t1 / t0\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "328.15384615384613" + ], + "split": "dev" + }, + { + "Input": "a train 270 metres long is moving at a speed of 25 kmph . it will cross a man coming from the opposite direction at a speed of 2 km per hour in :", + "Output Program": [ + "n0 = 270.0\nn1 = 25.0\nn2 = 2.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "dev" + }, + { + "Input": "speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph . a man rows to a place at a distance of 4864 km and comes back to the starting point . the total time taken by him is :", + "Output Program": [ + "n0 = 14.0\nn1 = 1.2\nn2 = 4864.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = n2 / t0\nt3 = n2 / t1\nanswer = t2 + t3\nprint(answer)" + ], + "Output Answer": [ + "700" + ], + "split": "dev" + }, + { + "Input": "a 300 meter long train crosses a platform in 33 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 33.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "dev" + }, + { + "Input": "it is the new year and mandy has made a resolution to lose weight this year . she plans to exercise and do yoga . for exercise she plans to workout at the gym and ride her bicycle in the ratio of 2 : 3 everyday . she will also do yoga in the ratio , yoga : exercise = 2 : 3 . if she rides her bike for 18 minutes , how much time will she spend doing yoga ? ( rounded to minutes )", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 2.0\nn3 = 3.0\nn4 = 18.0\nt0 = n0 + n1\nt1 = n1 / t0\nt2 = n4 * t1\nt3 = t1 * t1\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "29.999999999999996" + ], + "split": "dev" + }, + { + "Input": "what is the least number of squares tiles required to pave the floor of a room 15.17 m long and 9.02 m broad ?", + "Output Program": [ + "n0 = 15.17\nn1 = 9.02\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = 10.0 * 4.0\nt3 = t2 + 1.0\nt4 = t0 * t1 # area of rectangle\nt5 = t3**2\nanswer = t4 / t5\nprint(answer)" + ], + "Output Answer": [ + "814" + ], + "split": "dev" + }, + { + "Input": "x can finish a work in 24 days . y can finish the same work in 16 days . yworked for 10 days and left the job . how many days does x alone need to finish the remaining work ?", + "Output Program": [ + "n0 = 24.0\nn1 = 16.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = n2 * t0\nt3 = 1.0 - t2\nanswer = t3 / t1\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "at jerri \u2019 s pet shop , 60 cups of bird seed are used every 5 days to feed 20 parakeets . how many cups of bird seed would be required to feed 10 parakeets for 5 days ?", + "Output Program": [ + "n0 = 60.0\nn1 = 5.0\nn2 = 20.0\nn3 = 10.0\nn4 = 5.0\n\nanswer = n0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "dev" + }, + { + "Input": "danny and steve are running towards each other , each one from his own house . danny can reach steve ' s house in 25 minutes of running , which is half the time it takes steve to reach danny ' s house . if the two started to run at the same time , how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?", + "Output Program": [ + "n0 = 25.0\n\nanswer = n0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "12.5" + ], + "split": "dev" + }, + { + "Input": "in what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 60.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "5.999520038396929" + ], + "split": "dev" + }, + { + "Input": "find the area of a cuboid of length 15 cm , breadth 10 cm . and height 16 cm .", + "Output Program": [ + "n0 = 15.0\nn1 = 10.0\nn2 = 16.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "2400" + ], + "split": "dev" + }, + { + "Input": "a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 6 days . in how many days b alone can do the work ?", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\nn2 = 6.0\nt0 = 1 / n2\nt1 = 1 / n0\nt2 = n1 * t1\nt3 = 1.0 - t2\nt4 = t0 * t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "a searchlight on top of the watch - tower makes 3 revolutions per minute . what is the probability that a man appearing near the tower will stay in the dark for at least 15 seconds ?", + "Output Program": [ + "n0 = 3.0\nn1 = 15.0\nt0 = 1.0 * 60.0\nt1 = t0 / n0\nt2 = n1 / t1\nanswer = 1.0 - t2\nprint(answer)" + ], + "Output Answer": [ + "0.25" + ], + "split": "dev" + }, + { + "Input": "john and amanda stand at opposite ends of a straight road and start running towards each other at the same moment . their rates are randomly selected in advance so that john runs at a constant rate of 3 , 4 , or 5 miles per hour and amanda runs at a constant rate of 3 , 4 , 5 , 6 , or 7 miles per hour . what is the probability that john has traveled farther than amanda by the time they meet ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 5.0\nn3 = 3.0\nn4 = 4.0\nn5 = 5.0\nn6 = 6.0\nn7 = 7.0\nt0 = n0 * n2\nanswer = 3.0 / t0\nprint(answer)" + ], + "Output Answer": [ + "0.2" + ], + "split": "dev" + }, + { + "Input": "two bullet train s 140 m and 210 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time ( in seconds ) which they take to cross each other , is :", + "Output Program": [ + "n0 = 140.0\nn1 = 210.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "12.59899208063355" + ], + "split": "dev" + }, + { + "Input": "a contractor undertakes to built a walls in 50 days . he employs 40 peoples for the same . however after 25 days he finds that only 40 % of the work is complete . how many more man need to be employed to complete the work in time ?", + "Output Program": [ + "n0 = 50.0\nn1 = 40.0\nn2 = 25.0\nn3 = 40.0\nt0 = 4.0 / 10.0\nt1 = 100.0 - n3\nt2 = t1 / 100.0\nt3 = n1 * t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "dev" + }, + { + "Input": "john and steve are speed walkers in a race . john is 14 meters behind steve when he begins his final push . john blazes to the finish at a pace of 4.2 m / s , while steve maintains a blistering 3.7 m / s speed . if john finishes the race 2 meters ahead of steve , how long was john \u2019 s final push ?", + "Output Program": [ + "n0 = 14.0\nn1 = 4.2\nn2 = 3.7\nn3 = 2.0\nt0 = n0 + n3\nt1 = n1 - n2\nt2 = n2 * t0\nt3 = t2 / t1\nt4 = t0 + t3\nanswer = t4 / n1\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "dev" + }, + { + "Input": "the radius of the wheel of a bus is 100 cms and the speed of the bus is 66 km / h , then the r . p . m . ( revolutions per minutes ) of the wheel is", + "Output Program": [ + "n0 = 100.0\nn1 = 66.0\nt0 = n1 * 1000.0\nt1 = 1.0 * 60.0\nt2 = 3.0 * 4.0\nt3 = 2.0 * 4.0\nt4 = n0 * 2.0\nt5 = t2 + 2.0\nt6 = t3 + 2.0\nt7 = t0 * 100.0\nt8 = t7 / t1\nt9 = t6**min(2.0, 5)\nt10 = t5 / t9\nt11 = t10 + 3.0\nt12 = t11 * t4\nanswer = t8 / t12\nprint(answer)" + ], + "Output Answer": [ + "175.15923566878982" + ], + "split": "dev" + }, + { + "Input": "a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 390 m long ?", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 390.0\nt0 = n2 / 1000.0\nt1 = n0 / 1000.0\nt2 = t0 + t1\nt3 = t2 / n1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "dev" + }, + { + "Input": "a woman can do a piece of work in 40 days . man is 25 % more efficient than woman . in how many days a man can do the same piece of work ?", + "Output Program": [ + "n0 = 40.0\nn1 = 25.0\nt0 = n1 + 100.0\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "dev" + }, + { + "Input": "ram , who is half as efficient as krish , will take 21 days to complete a task if he worked alone . if ram and krish worked together , how long will they take to complete the task ?", + "Output Program": [ + "n0 = 21.0\nt0 = 1.0 / n0\nt1 = n0 / 2.0\nt2 = 1.0 / t1\nt3 = t0 + t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "dev" + }, + { + "Input": "calculate the l . c . m of 7 / 10 , 8 / 9 , 3 / 8 , 5 / 12 is :", + "Output Program": [ + "n0 = 7.0\nn1 = 10.0\nn2 = 8.0\nn3 = 9.0\nn4 = 3.0\nn5 = 8.0\nn6 = 5.0\nn7 = 12.0\nt0 = n0 * n2\nt1 = n4 * n6\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "840" + ], + "split": "dev" + }, + { + "Input": "a man swims downstream 36 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 36.0\nn1 = 18.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "tim came second in math . when his mother asked him how much he had scored , he answered that he got the sum of the first 12 even numbers . his mother immediately worked out the answer . how much had he scored in math ?", + "Output Program": [ + "n0 = 12.0\nt0 = n0 + 1.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "156" + ], + "split": "dev" + }, + { + "Input": "a can run 4 times as fast as b and gives b a start of 60 m . how long should the race course be so that a and b might reach in the same time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 60.0\nt0 = n1 / n0\nt1 = n0 - 1.0\nt2 = t0 / t1\nt3 = n0 * t2\nanswer = n1 + t3\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "dev" + }, + { + "Input": "a train 175 m long , running with a speed of 63 km / hr will pass a tree in ?", + "Output Program": [ + "n0 = 175.0\nn1 = 63.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 120 kilometers ?", + "Output Program": [ + "n0 = 40.0\nn1 = 120.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "on the first day of her vacation , louisa traveled 160 miles . on the second day , traveling at the same average speed , she traveled 280 miles . if the 160 - mile trip took 3 hours less than the 280 - mile trip , what was the average speed , in miles per hour ?", + "Output Program": [ + "n0 = 160.0\nn1 = 280.0\nn2 = 160.0\nn3 = 3.0\nn4 = 280.0\nt0 = n1 - n0\nanswer = t0 / n3\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "dev" + }, + { + "Input": "i flew my tiny seaplane to visit my mother . on the flight up , i flew at 96 mph . on the way home , i flew 88 mph . what was my average speed for the trip ?", + "Output Program": [ + "n0 = 96.0\nn1 = 88.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "92" + ], + "split": "dev" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 20 cm ?", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 20.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "380" + ], + "split": "dev" + }, + { + "Input": "a man can row 6 kmph in still water . when the river is running at 2 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?", + "Output Program": [ + "n0 = 6.0\nn1 = 2.0\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "5.333333333333333" + ], + "split": "dev" + }, + { + "Input": "if 8 workers can build 8 cars in 8 days , then how many days would it take 6 workers to build 6 cars ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 8.0\nn3 = 6.0\nn4 = 6.0\nt0 = n3 / n3\nt1 = n0 * n0\nt2 = t1 / n0\nanswer = t2 * t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "a person can swim in still water at 12 km / h . if the speed of water 10 km / h , how many hours will the man take to swim back against the current for 8 km ?", + "Output Program": [ + "n0 = 12.0\nn1 = 10.0\nn2 = 8.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "the moon revolves around the earth at a speed of approximately 0.2 kilometers per second . this approximate speed is how many kilometers per hour ?", + "Output Program": [ + "n0 = 0.2\n\nanswer = n0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "720" + ], + "split": "dev" + }, + { + "Input": "if 1.5 cm of a pencil is purple , 0.5 cm of the remaining is black and the remaining 2 cm is blue , what is the total length of the pencil ?", + "Output Program": [ + "n0 = 1.5\nn1 = 0.5\nn2 = 2.0\nt0 = n0 + n1\nanswer = n2 + t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "a can finish a work in 18 days and b can do the same work in half the time taken by a . then , working together what part of the same work they can finish in a day ?", + "Output Program": [ + "n0 = 18.0\nt0 = 1.0 / n0\nt1 = n0 / 2.0\nt2 = 1.0 / t1\nanswer = t0 + t2\nprint(answer)" + ], + "Output Answer": [ + "0.16666666666666666" + ], + "split": "dev" + }, + { + "Input": "a train 100 meters long completely crosses a 300 meters long bridge in 36 seconds . what is the speed of the train is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 300.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 / 3600.0\nt2 = t0 / 1000.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "dev" + }, + { + "Input": "trapezoid jklm in the x - y plane has coordinates j = ( \u2013 3 , \u2013 4 ) , k = ( \u2013 3 , 1 ) , l = ( 5 , 7 ) , and m = ( 5 , \u2013 4 ) . what is its perimeter ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 3.0\nn3 = 1.0\nn4 = 5.0\nn5 = 7.0\nn6 = 5.0\nn7 = 4.0\nt0 = n1 + n3\nt1 = n0 + n4\nt2 = n1 + n5\nt3 = t0 + 10.0\nt4 = t3 + t1\nanswer = t4 + t2\nprint(answer)" + ], + "Output Answer": [ + "34" + ], + "split": "dev" + }, + { + "Input": "a and b together can do a piece of work in 6 days and a alone can do it in 13 days . in how many days can b alone can do it ?", + "Output Program": [ + "n0 = 6.0\nn1 = 13.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.142857142857144" + ], + "split": "dev" + }, + { + "Input": "the length of a side of a hexagon is 4 inches . what is the perimeter ?", + "Output Program": [ + "n0 = 4.0\nt0 = 2.0 * 3.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "dev" + }, + { + "Input": "how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 112 m length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 72.0\nn2 = 112.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "11.099112071034318" + ], + "split": "dev" + }, + { + "Input": "a can do a work in 15 days and b in 20 days . if they work on it together for 5 days , then the fraction of the work that is left is", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 5.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.41666666666666663" + ], + "split": "dev" + }, + { + "Input": "a car traveled 560 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 6 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?", + "Output Program": [ + "n0 = 560.0\nn1 = 336.0\nn2 = 6.0\nt0 = n0 - n1\nt1 = t0 / n2\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "a hall 36 m long and 15 m broad is to be paved with stones , each measuring 2 dm by 5 dm . the number of stones required is :", + "Output Program": [ + "n0 = 36.0\nn1 = 15.0\nn2 = 2.0\nn3 = 5.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t1 / 100.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "5400" + ], + "split": "dev" + }, + { + "Input": "a train 220 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 220.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "dev" + }, + { + "Input": "allay ' s internet provider offers unlimited traffic which costs $ 0.5 per day charged off at 12 a . m . the service is discontinued when client ' s debt exceeds $ 5 . if today in the morning allay makes a payment of $ 7 , for how many days , including today , will she be connected to the internet without any additional payments , given her initial balance was $ 0 ?", + "Output Program": [ + "n0 = 0.5\nn1 = 12.0\nn2 = 5.0\nn3 = 7.0\nn4 = 0.0\nt0 = n2 + n3\nt1 = t0 / n0\nanswer = t1 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "dev" + }, + { + "Input": "if 18 persons can build a wall 140 m long in 42 days , the number of days that 30 persons will take to complete a similar wall 100 m long , is .", + "Output Program": [ + "n0 = 18.0\nn1 = 140.0\nn2 = 42.0\nn3 = 30.0\nn4 = 100.0\nt0 = n0 * n4\nt1 = n1 * n3\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "dev" + }, + { + "Input": "if the l . c . m of two numbers is 560 and their product is 42000 , find the h . c . f of the numbers .", + "Output Program": [ + "n0 = 560.0\nn1 = 42000.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "dev" + }, + { + "Input": "bruce and anne can clean their house in 4 hours working together at their respective constant rates . if anne \u2019 s speed were doubled , they could clean their house in 3 hours working at their respective rates . how many d hours does it currently take anne to clean the house on her own ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "dev" + }, + { + "Input": "two pipes can fill a tank in 12 minutes and 20 minutes respectively . both pipes are opened together and after some time the first pipe is closed and the tank is full in totally 10 minutes . for how many minutes was first pipe open ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\nn2 = 10.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nt4 = t3 - 1.0\nt5 = t4 / t0\nanswer = n2 - t5\nprint(answer)" + ], + "Output Answer": [ + "6.000000000000001" + ], + "split": "dev" + }, + { + "Input": "in what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 40.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.9996800255979523" + ], + "split": "dev" + }, + { + "Input": "a walks at 10 kmph and 4 hours after his start , b cycles after him at 20 kmph . how far from the start does b catch up with a ?", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nn2 = 20.0\n\nanswer = n1 * n2\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "dev" + }, + { + "Input": "two trains 120 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 120.0\nn1 = 160.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "10.07919366450684" + ], + "split": "dev" + }, + { + "Input": "a plant manager must assign 8 new workers to one of five shifts . she needs a first , second , and third shift , and two alternate shifts . each of the shifts will receive 2 new workers . how many different ways can she assign the new workers ?", + "Output Program": [ + "import math\nn0 = 8.0\nn1 = 2.0\nt0 = n0 / n1\nt1 = math.factorial(min(15, int(n0)))\nt2 = math.factorial(min(15, int(n1)))\nt3 = n0 - n1\nt4 = math.factorial(min(15, int(t0)))\nt5 = math.factorial(min(15, int(t3)))\nt6 = t4 / 2.0\nt7 = t5 * t2\nt8 = t1 / t7\nanswer = t6 * t8\nprint(answer)" + ], + "Output Answer": [ + "336" + ], + "split": "dev" + }, + { + "Input": "convert the 13 / 36 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 13.0\nn1 = 36.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "1.3" + ], + "split": "dev" + }, + { + "Input": "in one hour , a boat goes 7 km along the steram and 5 km against the stream . the speed of the boat in still waer ( in km / hr ) is :", + "Output Program": [ + "n0 = 7.0\nn1 = 5.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "dev" + }, + { + "Input": "a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 36 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 300.0\nn1 = 39.0\nn2 = 36.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "dev" + }, + { + "Input": "ajay can ride 50 km in 1 hour . in how many hours he can ride 1000 km ?", + "Output Program": [ + "n0 = 50.0\nn1 = 1.0\nn2 = 1000.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "a tyre has two punctures . the first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes . if air leaks out at a constant rate , how long does it take both the punctures together to make it flat ?", + "Output Program": [ + "n0 = 9.0\nn1 = 6.0\nt0 = n0 + n0\nt1 = 100.0 * 3.0\nt2 = n1 - 1.0\nt3 = 1.0 / t2\nt4 = t0 * t3\nt5 = t4 * 10.0\nanswer = t1 + t5\nprint(answer)" + ], + "Output Answer": [ + "336" + ], + "split": "dev" + }, + { + "Input": "express a speed of 63 kmph in meters per second ?", + "Output Program": [ + "n0 = 63.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "17.5014" + ], + "split": "dev" + }, + { + "Input": "car x began traveling at an average speed of 35 miles per hour . after 72 minutes , car y began traveling at an average speed of 49 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?", + "Output Program": [ + "n0 = 35.0\nn1 = 72.0\nn2 = 49.0\nt0 = n1 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "105" + ], + "split": "dev" + }, + { + "Input": "sam and nik start from a and b respectively at the same time and travel towards each other at constant speeds along the same route . sam meets nik at point c on the road which is 600 m away from starting point a and 400 m away from point b . the speed of sam is 50 m / m ( meter / minute ) . how much time did sam take to cover the distance between a and b ?", + "Output Program": [ + "n0 = 600.0\nn1 = 400.0\nn2 = 50.0\nt0 = n0 + n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "if 6 women can color 180 m long cloth in 3 days , then 5 women can color 200 m long cloth in ?", + "Output Program": [ + "n0 = 6.0\nn1 = 180.0\nn2 = 3.0\nn3 = 5.0\nn4 = 200.0\nt0 = n0 * n2\nt1 = n1 / t0\nt2 = n3 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "a can do a piece of work in 10 days , b in 15 days . they work for 5 days . the rest of work finished by c in 2 days . if they get rs 1500 for the whole work , the daily wages of b and c are ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 5.0\nn3 = 2.0\nn4 = 1500.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t1\nt4 = n2 * t2\nt5 = n4 * t3\nt6 = t5 / n2\nt7 = 1.0 - t4\nt8 = t7 / n3\nt9 = n3 * t8\nt10 = n4 * t9\nt11 = t10 / n3\nanswer = t11 + t6\nprint(answer)" + ], + "Output Answer": [ + "224.9999999999999" + ], + "split": "dev" + }, + { + "Input": "a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 29 m * 2 m * 0.75 m ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 7.5\nn3 = 29.0\nn4 = 2.0\nn5 = 0.75\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n5 * 100.0\nt3 = t0 * t1\nt4 = t3 * t2\nt5 = t4 / n0\nt6 = t5 / n1\nanswer = t6 / n2\nprint(answer)" + ], + "Output Answer": [ + "29000" + ], + "split": "dev" + }, + { + "Input": "on a map , 1 inch represents 28 miles . how many b inches would be necessary to represent a distance of 383.6 miles ?", + "Output Program": [ + "n0 = 1.0\nn1 = 28.0\nn2 = 383.6\n\nanswer = n2 / n1\nprint(answer)" + ], + "Output Answer": [ + "13.700000000000001" + ], + "split": "dev" + }, + { + "Input": "how many seconds will a 600 metre long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 600.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "35.99712023038157" + ], + "split": "dev" + }, + { + "Input": "a ship 450 m long is running at a speed of 24 km / hr . in what time will it pass a bridge 900 m long ?", + "Output Program": [ + "n0 = 450.0\nn1 = 24.0\nn2 = 900.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "202.48380129589634" + ], + "split": "dev" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 15 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 15.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "250.00000000000003" + ], + "split": "dev" + }, + { + "Input": "a tank is filled by 3 pipes a , b , c in 6 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nt0 = 2.0 * 2.0\nt1 = t0 + 2.0\nt2 = t1 + 1.0\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "dev" + }, + { + "Input": "a clock shows the time as 9 a . m . if the minute hand gains 7 minutes every hour , how many minutes will the clock gain by 6 p . m . ?", + "Output Program": [ + "n0 = 9.0\nn1 = 7.0\nn2 = 6.0\nt0 = 3.0 + n2\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "63" + ], + "split": "dev" + }, + { + "Input": "if the perimeter of a rectangular garden is 700 m , its length when its breadth is 100 m is ?", + "Output Program": [ + "n0 = 700.0\nn1 = 100.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "dev" + }, + { + "Input": "some persons can do a piece of work in 12 days . two times the number of these people will do half of that work in ?", + "Output Program": [ + "n0 = 12.0\nt0 = 1.0 / 2.0\nt1 = n0 * t0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "two pipes a and b separately fill in 15 / 2 min and 5 min respactively and third pipe c can empty of 14 l / m if all the pipes are open when the cistern is full , it is emptied in 1 hr . how many litres does the cistern hold ?", + "Output Program": [ + "n0 = 15.0\nn1 = 2.0\nn2 = 5.0\nn3 = 14.0\nn4 = 1.0\nt0 = n1 / n0\nt1 = n4 / n2\nt2 = n3 * 60.0\nt3 = t0 + t1\nt4 = t3 * 60.0\nt5 = n4 + t4\nanswer = t2 / t5\nprint(answer)" + ], + "Output Answer": [ + "39.99999999999999" + ], + "split": "dev" + }, + { + "Input": "two numbers have a h . c . f of 20 and a product of two numbers is 2560 . find the l . c . m of the two numbers ?", + "Output Program": [ + "n0 = 20.0\nn1 = 2560.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "128" + ], + "split": "dev" + }, + { + "Input": "a person is traveling at 75 km / hr and reached his destiny in 4 hr then find the distance ?", + "Output Program": [ + "n0 = 75.0\nn1 = 4.0\n\nanswer = n0 * n1\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "dev" + }, + { + "Input": "a can do a job in 15 days and b in 20 days . if they work on it together for 4 days , then the fraction of the work that is left is ?", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 4.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.5333333333333333" + ], + "split": "dev" + }, + { + "Input": "jack and christina are standing 240 feet apart on a level surface . their dog , lindy , is standing next to christina . at the same time , they all begin moving toward each other . jack walks in a straight line toward christina at a constant speed of 5 feet per second and christina walks in a straight line toward jack at a constant speed of 3 feet per second . lindy runs at a constant speed of 9 feet per second from christina to jack , back to christina , back to jack , and so forth . what is the total distance , in feet , that lindy has traveled when the three meet at one place ?", + "Output Program": [ + "n0 = 240.0\nn1 = 5.0\nn2 = 3.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = n0 / t0\nanswer = n3 * t1\nprint(answer)" + ], + "Output Answer": [ + "270" + ], + "split": "dev" + }, + { + "Input": "sakshi can do a piece of work in 12 days . tanya is 20 % more efficient than sakshi . the number of days taken by tanya to do the same piece of work is ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "a river 4 m deep and 40 m wide is flowing at the rate of 4 kmph the amount of water that runs into the sea per minute is ?", + "Output Program": [ + "n0 = 4.0\nn1 = 40.0\nn2 = 4.0\nt0 = n0 * n1\nt1 = n2 * 1000.0\nt2 = 1.0 * 60.0\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "10666.666666666666" + ], + "split": "dev" + }, + { + "Input": "in one hour , a boat goes 11 km along the stream and 5 km against the stream . the speed of the boat in still water is :", + "Output Program": [ + "n0 = 11.0\nn1 = 5.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 6 seconds . the length of the faster train is", + "Output Program": [ + "n0 = 36.0\nn1 = 45.0\nn2 = 6.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "135.0108" + ], + "split": "dev" + }, + { + "Input": "laxmi and prasanna set on a journey . laxmi moves northwards at a speed of 20 kmph and prasanna moves southward at a speed of 30 kmph . how far will be prasanna from laxmi after 60 minutes ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nn2 = 60.0\n\nanswer = n0 + n1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "dev" + }, + { + "Input": "there is a train and car . the ratio between the speed of a train & a car is 16 : 15 respectively . also , a bus covered a distance of 320 km in 5 hours . the speed of the bus is 4 / 5 th of the speed of the train . how many kilometers will the car cover in 7 hours ?", + "Output Program": [ + "n0 = 16.0\nn1 = 15.0\nn2 = 320.0\nn3 = 5.0\nn4 = 4.0\nn5 = 5.0\nn6 = 7.0\nt0 = n2 / n3\nt1 = n3 * t0\nt2 = t1 / n4\nt3 = n1 * t2\nt4 = t3 / n0\nanswer = n6 * t4\nprint(answer)" + ], + "Output Answer": [ + "525" + ], + "split": "dev" + }, + { + "Input": "a bullet train 120 m long is running with a speed of 50 kmph . in what time will it pass a man who is running at 4 kmph in the direction opposite to that in which the bullet train is going ?", + "Output Program": [ + "n0 = 120.0\nn1 = 50.0\nn2 = 4.0\nt0 = n1 + n2\nt1 = t0 * 1000.0\nt2 = t1 / 3600.0\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "a train 200 m long can cross an electric pole in 20 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 200.0\nn1 = 20.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "dev" + }, + { + "Input": "the average temperature for tuesday , wednesday and thursday was 32 \u00b0 c . the average temperature for wednesday , thursday and friday was 34 \u00b0 c . if the temperature on friday be 44 \u00b0 c , what was the temperature on tuesday ?", + "Output Program": [ + "n0 = 32.0\nn1 = 34.0\nn2 = 44.0\nt0 = n0 * 3.0\nt1 = n1 * 3.0\nt2 = t1 - n2\nanswer = t0 - t2\nprint(answer)" + ], + "Output Answer": [ + "38" + ], + "split": "dev" + }, + { + "Input": "a cyclist bikes x distance at 10 miles per hour and returns over the same path at 9 miles per hour . what is the cyclist ' s average rate for the round trip in miles per hour ?", + "Output Program": [ + "n0 = 10.0\nn1 = 9.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "9.5" + ], + "split": "dev" + }, + { + "Input": "the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 216 \u00b0 of the circle , what percentage of megatek employees are in manufacturing ?", + "Output Program": [ + "n0 = 216.0\nt0 = 3600.0 / 10.0\nt1 = n0 / t0\nanswer = t1 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "dev" + }, + { + "Input": "a tempo , while travelling at 70 kmph , uses 30 % more petrol than it uses while travelling at 50 kmph for travelling a certain distance . using one litre of petrol , it can travel 19.5 km at 50 kmph . how far can the tempo travel on 10 litres of petrol at a speed of 70 kmph ?", + "Output Program": [ + "n0 = 70.0\nn1 = 30.0\nn2 = 50.0\nn3 = 19.5\nn4 = 50.0\nn5 = 10.0\nn6 = 70.0\nt0 = n1 / 100.0\nt1 = n3 * n5\nt2 = t0 + 1.0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "dev" + }, + { + "Input": "find the area of trapezium whose parallel sides are 28 cm and 18 cm long , and the distance between them is 15 cm .", + "Output Program": [ + "n0 = 28.0\nn1 = 18.0\nn2 = 15.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "345" + ], + "split": "dev" + }, + { + "Input": "working together , printer a and printer b would finish the task in 24 minutes . printer a alone would finish the task in 60 minutes . how many pages does the task contain if printer b prints 6 pages a minute more than printer a ?", + "Output Program": [ + "n0 = 1.0\nn1 = 2.0\nn2 = 2.0\nn3 = 1.0\nn4 = 10.0\nn5 = 35.0\nn6 = 4.0\nn7 = 3.0\nn8 = 5.0\nn9 = 3.0\nt0 = n4 + n8\nt1 = n4 * n6\nt2 = t1 / n1\nanswer = t0 + t2\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "dev" + }, + { + "Input": "walking at 4 / 5 of her normal speed , a worker is 10 minutes later than usual in reaching her office . the usual time ( in minutes ) taken by her to cover the distance between her home and her office is", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 10.0\n\nanswer = n0 * n2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "dev" + }, + { + "Input": "find the length of the longest pole that can be placed in a room 12 m long , 8 m broad and 9 m high .", + "Output Program": [ + "import math\nn0 = 12.0\nn1 = 8.0\nn2 = 9.0\nt0 = n0**min(2.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = n2**min(2.0, 5)\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = math.sqrt(max(0, t4))\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "dev" + }, + { + "Input": "a and b can together finish a work in 40 days . they worked together for 10 days and then b left . after another 15 days , a finished the remaining work . in how many days a alone can finish the job ?", + "Output Program": [ + "n0 = 40.0\nn1 = 10.0\nn2 = 15.0\nt0 = n0 * n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "a train 110 m long is running with a speed of 82 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 82.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "4.499640028797696" + ], + "split": "dev" + }, + { + "Input": "two cars start at the same time from opposite ends of a highway that is 175 miles long . one car is riding at 25 mph and the second car is riding at 45 mph . how long after they begin will they meet ?", + "Output Program": [ + "n0 = 175.0\nn1 = 25.0\nn2 = 45.0\nt0 = n1 + n2\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.5" + ], + "split": "dev" + }, + { + "Input": "the perimeter of a semi circle is 180 cm then the radius is ?", + "Output Program": [ + "n0 = 180.0\nt0 = 2.0 + 3.141592653589793\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "35.00860766835085" + ], + "split": "dev" + }, + { + "Input": "a bus trip of 550 miles would have taken 1 hour less if the average speed v for the trip had been greater by 5 miles per hour . what was the average speed v , in miles per hour , for the trip ?", + "Output Program": [ + "import math\nn0 = 550.0\nn1 = 1.0\nn2 = 5.0\nt0 = n0 * n2\nt1 = n2**min(2.0, 5)\nt2 = t0 * 4.0\nt3 = t2 + t1\nt4 = math.sqrt(max(0, t3))\nt5 = t4 - n2\nanswer = t5 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "dev" + }, + { + "Input": "the sum of the squares of 3 consecutive natural number is 2030 . what is the middle number ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2030.0\nt0 = n0 * 4.0\nt1 = t0 * 2.0\nanswer = t1 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "dev" + }, + { + "Input": "dan can do a job alone in 12 hours . annie , working alone , can do the same job in just 9 hours . if dan works alone for 8 hours and then stops , how many hours will it take annie , working alone , to complete the job ?", + "Output Program": [ + "n0 = 12.0\nn1 = 9.0\nn2 = 8.0\nt0 = n2 / n0\nt1 = 1.0 - t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "3.0000000000000004" + ], + "split": "dev" + }, + { + "Input": "two cars start from the opposite places of a main road , 105 km apart . first car runs for 25 km and takes a right turn and then runs 15 km . it then turns left and then runs for another 25 km and then takes the direction back to reach the main road . in the mean time , due to minor break down the other car has run only 35 km along the main road . what would be the distance between two cars at this point ?", + "Output Program": [ + "n0 = 105.0\nn1 = 25.0\nn2 = 15.0\nn3 = 25.0\nn4 = 35.0\nt0 = n1 + n1\nt1 = n0 - n4\nanswer = t1 - t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "if there are 86 workers in a factory , and on a certain day , 72 were present . calculate the percentage that showed up for work ? ( round to the nearest tenth ) .", + "Output Program": [ + "n0 = 86.0\nn1 = 72.0\nt0 = n1 / n0\nanswer = t0 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "83.72093023255815" + ], + "split": "dev" + }, + { + "Input": "x does a work in 20 days . y does the same work in 40 days . in how many days they together will do the same work ?", + "Output Program": [ + "n0 = 20.0\nn1 = 40.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "13.333333333333332" + ], + "split": "dev" + }, + { + "Input": "a start walking from a place at a uniform speed of 7 kmph in a particular direction . after half an hour , b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes . find the speed of b .", + "Output Program": [ + "n0 = 7.0\nn1 = 1.0\nn2 = 48.0\nt0 = n2 + 60.0\nt1 = t0 / 60.0\nt2 = n1 / t1\nanswer = n0 + t2\nprint(answer)" + ], + "Output Answer": [ + "7.555555555555555" + ], + "split": "dev" + }, + { + "Input": "car a is 16 miles behind car b , which is traveling in the same direction along the same route as car a . car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour . how many hours will it take for car a to overtake and drive 8 miles ahead of car b ?", + "Output Program": [ + "n0 = 16.0\nn1 = 58.0\nn2 = 50.0\nn3 = 8.0\nt0 = n0 + n3\nt1 = n1 - n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "dev" + }, + { + "Input": "a trader sells 85 meters of cloth for rs . 8500 at the profit of rs . 15 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 85.0\nn1 = 8500.0\nn2 = 15.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "85" + ], + "split": "dev" + }, + { + "Input": "circular gears p and q start rotating at the same time at constant speeds . gear p makes 10 revolutions per minute and gear q makes 40 revolutions per minute . how many seconds after the gears start rotating will gear q have made exactly 45 more revolutions than gear p ?", + "Output Program": [ + "n0 = 10.0\nn1 = 40.0\nn2 = 45.0\nt0 = n1 / 60.0\nt1 = n0 / 60.0\nt2 = t0 - t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "dev" + }, + { + "Input": "a man can row upstream at 25 kmph and downstream at 55 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 25.0\nn1 = 55.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "dev" + }, + { + "Input": "two bike riders ride in opposite directions around a circular track , starting at the same time from the same point . biker a rides at a speed of 16 kmph and biker b rides at a speed of 14 kmph . if the track has a diameter of 40 km , after how much time ( in hours ) will the two bikers meet ?", + "Output Program": [ + "n0 = 16.0\nn1 = 14.0\nn2 = 40.0\nt0 = 3.0 + 4.0\nt1 = n0 + n1\nt2 = 3.0 * 4.0\nt3 = n2 / t1\nt4 = t2 * 2.0\nt5 = t4 - 2.0\nt6 = t5 / t0\nanswer = t6 * t3\nprint(answer)" + ], + "Output Answer": [ + "4.19047619047619" + ], + "split": "dev" + }, + { + "Input": "a cistern 12 m long and 14 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :", + "Output Program": [ + "n0 = 12.0\nn1 = 14.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 + t4\nt6 = t5 * 2.0\nanswer = t6 + t1\nprint(answer)" + ], + "Output Answer": [ + "233" + ], + "split": "dev" + }, + { + "Input": "a train moves with a speed of 162 kmph . its speed in metres per second is", + "Output Program": [ + "n0 = 162.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "45.0036" + ], + "split": "dev" + }, + { + "Input": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 60 kmph , find the speed of the stream ?", + "Output Program": [ + "n0 = 60.0\nt0 = n0 * 2.0\nt1 = t0 / 3.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "dev" + }, + { + "Input": "a certain car uses 12 gallons of gasoline in traveling 120 miles . in order for the car to travel the same distance using 10 gallons of gasoline , by how many miles per gallon must the car \u2019 s gas mileage be increased ?", + "Output Program": [ + "n0 = 12.0\nn1 = 120.0\nn2 = 10.0\nt0 = n1 / n2\nt1 = n1 / n0\nanswer = t0 - t1\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "dev" + }, + { + "Input": "15 men can complete a work in 10 days while 20 boys can complete the same work in 15 days . how many days will 10 men and 10 boys together take to complete the same work", + "Output Program": [ + "n0 = 15.0\nn1 = 10.0\nn2 = 20.0\nn3 = 15.0\nn4 = 10.0\nn5 = 10.0\nt0 = n0 * n1\nt1 = n0 * 2.0\nt2 = t0 / n1\nt3 = 1.0 / t1\nt4 = 1.0 / t2\nt5 = t4 + t3\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "dev" + }, + { + "Input": "excluding the stoppages , the speed of a bus is 48 km / hr and including the stoppages the speed of the bus is 12 km / hr . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 48.0\nn1 = 12.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "dev" + }, + { + "Input": "the length of the bridge , which a train 500 metres long and travelling at 42 km / hr can cross in 60 seconds , is ?", + "Output Program": [ + "n0 = 500.0\nn1 = 42.0\nn2 = 60.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "dev" + }, + { + "Input": "the speed of a boat in still water in 30 km / hr and the rate of current is 7 km / hr . the distance travelled downstream in 36 minutes is :", + "Output Program": [ + "n0 = 30.0\nn1 = 7.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "22.2" + ], + "split": "dev" + }, + { + "Input": "39 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 3 hours a day , complete the work ?", + "Output Program": [ + "n0 = 39.0\nn1 = 12.0\nn2 = 5.0\nn3 = 30.0\nn4 = 3.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "26" + ], + "split": "dev" + }, + { + "Input": "cole drove from home to work at an average speed of 80 kmh . he then returned home at an average speed of 120 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ?", + "Output Program": [ + "n0 = 80.0\nn1 = 120.0\nn2 = 2.0\nt0 = n0 + n1\nt1 = n1 * n2\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "dev" + }, + { + "Input": "pipe a fills a tank of capacity 800 liters at the rate of 40 liters a minute . another pipe b fills the same tank at the rate of 30 liters a minute . a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute . if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated , when will the tank be full ?", + "Output Program": [ + "n0 = 800.0\nn1 = 40.0\nn2 = 30.0\nn3 = 20.0\nt0 = n1 + n2\nt1 = t0 - n3\nt2 = n0 / t1\nanswer = t2 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "dev" + }, + { + "Input": "the speed of a boat in still water is 15 km / hr and the rate of current is 3 km / hr . the distance travelled downstream in 24 minutes is", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 24.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "7.2" + ], + "split": "dev" + }, + { + "Input": "excluding the stoppages , the speed of a bus is 12 km / hr and including the stoppages the speed of the bus is 6 km / hr . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 12.0\nn1 = 6.0\nt0 = n1 / n0\nt1 = t0 * 60.0\nanswer = 60.0 - t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "dev" + }, + { + "Input": "in a dairy farm , 55 cows eat 55 bags of husk in 55 days . in how many days one cow will eat one bag of husk ?", + "Output Program": [ + "n0 = 55.0\nn1 = 55.0\nn2 = 55.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "dev" + }, + { + "Input": "a tank is filled in 10 hours by 3 pipes a , b and c . the pipe c is twice as fast as b and b is twice as fast as a . how much time will pipe a alone take to fill the tank ?", + "Output Program": [ + "n0 = 10.0\nn1 = 3.0\nt0 = 1.0 + 2.0\nt1 = t0 + 4.0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "dev" + }, + { + "Input": "train a leaves the station traveling at 30 miles per hour . two hours later train \u0432 leaves the same station traveling in the same direction at 45 miles per hour . how many miles from the station was train a overtaken by train b ?", + "Output Program": [ + "n0 = 30.0\nn1 = 45.0\nt0 = n0 * 2.0\nt1 = n1 - n0\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "dev" + }, + { + "Input": "micheal and adam can do together a piece of work in 20 days . after they have worked together for 15 days micheal stops and adam completes the remaining work in 10 days . in how many days micheal complete the work separately .", + "Output Program": [ + "n0 = 20.0\nn1 = 15.0\nn2 = 10.0\nt0 = 1 / n0\nt1 = n1 * t0\nt2 = 1.0 - t1\nt3 = 1 / t2\nt4 = n2 * t3\nt5 = 1 / t4\nt6 = t0 - t5\nanswer = 1 / t6\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "dev" + }, + { + "Input": "pipe a can fill a tank in 6 hours . due to a leak at the bottom , it takes 10 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?", + "Output Program": [ + "n0 = 6.0\nn1 = 10.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "dev" + }, + { + "Input": "two trains 500 m and 750 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 500.0\nn1 = 750.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "44.99640028797697" + ], + "split": "dev" + }, + { + "Input": "two pipes p and q can fill a cistern in 12 and 15 minutes respectively . both are opened together , but at the end of 2 minutes the first is turned off . how many more minutes will it take for the cistern to fill after the first pipe is turned off ?", + "Output Program": [ + "n0 = 12.0\nn1 = 15.0\nn2 = 2.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = t2 * n2\nt4 = 1.0 - t3\nanswer = n1 * t4\nprint(answer)" + ], + "Output Answer": [ + "10.5" + ], + "split": "dev" + }, + { + "Input": "a train traveling at 72 kmph crosses a platform in 33 seconds and a man standing on the platform in 18 seconds . what is the length of the platform in meters ?", + "Output Program": [ + "n0 = 72.0\nn1 = 33.0\nn2 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nt2 = n1 * t1\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "dev" + }, + { + "Input": "a certain bacteria colony doubles in size every day for 25 days , at which point it reaches the limit of its habitat and can no longer grow . if two bacteria colonies start growing simultaneously , how many days will it take them to reach the habitat \u2019 s limit ?", + "Output Program": [ + "n0 = 25.0\nt0 = n0 / n0\nanswer = n0 - t0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "dev" + }, + { + "Input": "if daily wages of a man is 4 times to that of a woman , how many men should work for 25 days to earn rs . 14400 ? given that wages for 40 women for 30 days are rs . 21600 .", + "Output Program": [ + "n0 = 4.0\nn1 = 25.0\nn2 = 14400.0\nn3 = 40.0\nn4 = 30.0\nn5 = 21600.0\nt0 = n3 * n4\nt1 = n5 / t0\nt2 = n0 * t1\nt3 = n1 * t2\nanswer = n2 / t3\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "dev" + }, + { + "Input": "a father and his son are waiting at a bus stop in the evening . there is a lamp post behind them . the lamp post , the father and his son stand on the same straight line . the father observes that the shadows of his head and his son \u2019 s head are incident at the same point on the ground . if the heights of the lamp post , the father and his son are 6 metres , 1.8 metres and 0.9 metres respectively , and the father is standing 2.1 metres away from the post , then how far ( in metres ) is the son standing from his father ?", + "Output Program": [ + "n0 = 6.0\nn1 = 1.8\nn2 = 0.9\nn3 = 2.1\nt0 = n2 * n3\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.45" + ], + "split": "dev" + }, + { + "Input": "at their respective rates , pump a , b , and c can fulfill an empty tank , or pump - out the full tank in 2 , 3 , and 6 hours . if a and b are used to pump - out water from the half - full tank , while c is used to fill water into the tank , in how many hours , the tank will be empty ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 6.0\nt0 = n2 / n0\nt1 = n2 / n1\nt2 = t0 + t1\nt3 = t2 - 1.0\nt4 = n2 / t3\nanswer = t4 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "0.75" + ], + "split": "dev" + }, + { + "Input": "a boat can travel with a speed of 22 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 108 km downstream", + "Output Program": [ + "n0 = 22.0\nn1 = 5.0\nn2 = 108.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "the speed of the boat in still water in 12 kmph . it can travel downstream through 54 kms in 3 hrs . in what time would it cover the same distance upstream ?", + "Output Program": [ + "n0 = 12.0\nn1 = 54.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = t0 - n0\nt2 = n0 - t1\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "dev" + }, + { + "Input": "if a train , travelling at a speed of 120 kmph , crosses a pole in 6 sec , then the length of train is ?", + "Output Program": [ + "n0 = 120.0\nn1 = 6.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "200.016" + ], + "split": "dev" + }, + { + "Input": "sakshi can do a piece of work in 5 days . tanya is 25 % more efficient than sakshi . the number of days taken by tanya to do the same piece of work :", + "Output Program": [ + "n0 = 5.0\nn1 = 25.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "dev" + }, + { + "Input": "two pipes a and b can separately fill a cistern in 60 minutes and 80 minutes respectively . there is a third pipe in the bottom of the cistern to empty it . if all the three pipes are simultaneously opened , then the cistern is full in 40 minutes . in how much time , the third pipe alone can empty the cistern ?", + "Output Program": [ + "n0 = 60.0\nn1 = 80.0\nn2 = 40.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 - t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "240.00000000000006" + ], + "split": "dev" + }, + { + "Input": "13 buckets of water fill a tank when the capacity of each bucket is 51 litres . how many buckets will be needed to fill the same tank , if the capacity of each bucket is 17 litres ?", + "Output Program": [ + "n0 = 13.0\nn1 = 51.0\nn2 = 17.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "39" + ], + "split": "dev" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 10 cm ?", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 10.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "190" + ], + "split": "dev" + }, + { + "Input": "two trains leave a station traveling the same direction . train a leaves the station traveling at a constant speed of 60 mph , and train b leaves the station traveling at a constant speed of 80 mph . if both trains maintain constant speeds , in how many minutes will train b overtake train a if train a left 40 minutes prior to train b ?", + "Output Program": [ + "n0 = 60.0\nn1 = 80.0\nn2 = 40.0\nt0 = n2 / 60.0\nt1 = n1 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "dev" + }, + { + "Input": "a goods train runs at the speed of 72 km / hr and crosses a 250 m long platform in 15 sec . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 250.0\nn2 = 15.0\nt0 = n0 / 3600.0\nt1 = t0 * 1000.0\nt2 = n2 * t1\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "dev" + }, + { + "Input": "a goods train runs at the speed of 72 km / hr and crosses a 290 m long platform in 26 sec . what is the length of the goods train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 290.0\nn2 = 26.0\nt0 = n0 / 3600.0\nt1 = t0 * 1000.0\nt2 = n2 * t1\nanswer = t2 - n1\nprint(answer)" + ], + "Output Answer": [ + "230" + ], + "split": "dev" + }, + { + "Input": "a swimmer swims downstream 55 km and upstream 10 km taking 5 hours each time ; what is the speed of the current ?", + "Output Program": [ + "n0 = 55.0\nn1 = 10.0\nn2 = 5.0\nt0 = n0 / n2\nt1 = n1 / n2\nt2 = t0 - t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "dev" + }, + { + "Input": "a is half good a work man as b and together they finish a job in 13 days . in how many days working alone b finish the job ?", + "Output Program": [ + "n0 = 13.0\nt0 = 3.0 / 2.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "19.5" + ], + "split": "dev" + }, + { + "Input": "33 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 33.0\nn1 = 12.0\nn2 = 5.0\nn3 = 30.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "dev" + }, + { + "Input": "convert 0.36 in to a vulgar fraction ?", + "Output Program": [ + "n0 = 0.36\nt0 = 2.0 + 3.0\nt1 = t0 * 2.0\nt2 = t1 * t1\nt3 = n0 * t2\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.36" + ], + "split": "dev" + }, + { + "Input": "a pipe can empty 2 / 3 rd of a cistern in 12 mins . in 6 mins , what part of the cistern will be empty ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 12.0\nn3 = 6.0\nt0 = n0 / n1\nt1 = n3 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "0.3333333333333333" + ], + "split": "dev" + }, + { + "Input": "how much time will a train of length 400 m moving at a speed of 72 kmph take to cross another train of length 300 m , moving at 36 kmph in the same direction ?", + "Output Program": [ + "n0 = 400.0\nn1 = 72.0\nn2 = 300.0\nn3 = 36.0\nt0 = n0 + n2\nt1 = n1 - n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "69.99440044796417" + ], + "split": "dev" + }, + { + "Input": "length of a rectangular plot is 26 mtr more than its breadth . if the cost of fencin gthe plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?", + "Output Program": [ + "n0 = 26.0\nn1 = 26.5\nn2 = 5300.0\nt0 = n2 / n1\nt1 = n0 * 2.0\nt2 = t0 + t1\nanswer = t2 / 4.0\nprint(answer)" + ], + "Output Answer": [ + "63" + ], + "split": "dev" + }, + { + "Input": "on a map the distance between two mountains is 312 inches . the actual distance between the mountains is 136 km . ram is camped at a location that on the map is 34 inch from the base of the mountain . how many km is he from the base of the mountain ?", + "Output Program": [ + "n0 = 312.0\nn1 = 136.0\nn2 = 34.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "14.820512820512821" + ], + "split": "dev" + }, + { + "Input": "the speed of a car is 60 km in the first hour and 30 km in the second hour . what is the average speed of the car ?", + "Output Program": [ + "n0 = 60.0\nn1 = 30.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "dev" + }, + { + "Input": "there are 28 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?", + "Output Program": [ + "n0 = 28.0\nt0 = n0 + 1.0\nt1 = t0 + 1.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "870" + ], + "split": "test" + }, + { + "Input": "a constructor estimates that 10 people can paint mr khans house in 4 days . if he uses 5 people instead of 10 , how long will they take to complete the job ?", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nn2 = 5.0\nn3 = 10.0\nt0 = n0 * n1\nt1 = 1.0 / t0\nt2 = n2 * t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "a train running at the speed of 120 km / hr crosses a pole in 18 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 120.0\nn1 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "600" + ], + "split": "test" + }, + { + "Input": "a train 100 meters long completely crosses a 300 meters long bridge in 45 seconds . what is the speed of the train is ?", + "Output Program": [ + "n0 = 100.0\nn1 = 300.0\nn2 = 45.0\nt0 = n0 + n1\nt1 = n2 / 3600.0\nt2 = t0 / 1000.0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "32" + ], + "split": "test" + }, + { + "Input": "the lenght of a room is 5.5 m and width is 4 m . find the cost of paving the floor by slabs at the rate of rs . 900 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 4.0\nn2 = 900.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "19800" + ], + "split": "test" + }, + { + "Input": "a start walking from a place at a uniform speed of 6 kmph in a particular direction . after half an hour , b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes . find the speed of b .", + "Output Program": [ + "n0 = 6.0\nn1 = 1.0\nn2 = 48.0\nt0 = n2 + 60.0\nt1 = t0 / 60.0\nt2 = n1 / t1\nanswer = n0 + t2\nprint(answer)" + ], + "Output Answer": [ + "6.555555555555555" + ], + "split": "test" + }, + { + "Input": "oak street begins at pine street and runs directly east for 2 kilometers until it ends when it meets maple street . oak street is intersected every 400 meters by a perpendicular street , and each of those streets other than pine street and maple street is given a number beginning at 1 st street ( one block east of pine street ) and continuing consecutively ( 2 nd street , 3 rd street , etc . . . ) until the highest - numbered street one block west of maple street . what is the highest - numbered street that intersects oak street ?", + "Output Program": [ + "n0 = 2.0\nn1 = 400.0\nn2 = 1.0\nn3 = 2.0\nn4 = 3.0\nt0 = n0 * 1000.0\nt1 = t0 / n1\nanswer = t1 - 1.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "if 6 men and 8 women can do a piece of work in 10 days while 26 men and 48 women can do the same in 2 days , the time taken by 15 men and 20 women in doing the same type of work will be ?", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 10.0\nn3 = 26.0\nn4 = 48.0\nn5 = 2.0\nn6 = 15.0\nn7 = 20.0\nt0 = n4 * n5\nt1 = n1 * n2\nt2 = n0 * n2\nt3 = n3 * n5\nt4 = t0 - t1\nt5 = t2 - t3\nt6 = t4 / t5\nt7 = n1 / t6\nt8 = n7 / t6\nt9 = n0 + t7\nt10 = n6 + t8\nt11 = n2 * t9\nanswer = t11 / t10\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "find the length of the wire required to go 14 times round a square field containing 5625 m 2 .", + "Output Program": [ + "import math\nn0 = 14.0\nn1 = 5625.0\nn2 = 2.0\nt0 = math.sqrt(n1) # square edge given area\nt1 = 4 * t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "4200" + ], + "split": "test" + }, + { + "Input": "how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 1 m x 2 m x 20 cm ?", + "Output Program": [ + "n0 = 25.0\nn1 = 11.25\nn2 = 6.0\nn3 = 1.0\nn4 = 2.0\nn5 = 20.0\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "237.03703703703704" + ], + "split": "test" + }, + { + "Input": "spanish language broadcast records last 90 min on each of two sides . if it takes 3 hours to translate one hour of broadcast , how long will it take to translate 16 full records ?", + "Output Program": [ + "n0 = 90.0\nn1 = 3.0\nn2 = 16.0\nt0 = n0 * 2.0\nt1 = t0 / 60.0\nt2 = n2 * t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "144" + ], + "split": "test" + }, + { + "Input": "a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , which a and c together can do it in 2 hours . how long will b alone take to do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nn2 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "test" + }, + { + "Input": "how many seconds will a 650 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?", + "Output Program": [ + "n0 = 650.0\nn1 = 63.0\nn2 = 3.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "38.99688024958004" + ], + "split": "test" + }, + { + "Input": "today is thursday . i came home from a trip 3 days before the day after last monday . how many days have i been home ?", + "Output Program": [ + "n0 = 3.0\nt0 = n0 + 1.0\nanswer = t0 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "in one hour , a boat goes 19 km along the stream and 5 km against the stream . the speed of the boat in still water ( in km / hr ) is :", + "Output Program": [ + "n0 = 19.0\nn1 = 5.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "if soundharya rows 49 km upstream and 77 km down steam taking 7 hours each , then the speed of the stream", + "Output Program": [ + "n0 = 49.0\nn1 = 77.0\nn2 = 7.0\nt0 = n2 * 2.0\nt1 = n1 - n0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "test" + }, + { + "Input": "20 beavers , working together in a constant pace , can build a dam in 6 hours . how many hours will it take 12 beavers that work at the same pace , to build the same dam ?", + "Output Program": [ + "n0 = 20.0\nn1 = 6.0\nn2 = 12.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "test" + }, + { + "Input": "two consultants can type up a report in 12.5 hours and edit it in 7.5 hours . if mary needs 30 hours to type the report and jim needs 12 hours to edit it alone , how many t hours will it take if jim types the report and mary edits it immediately after he is done ?", + "Output Program": [ + "n0 = 12.5\nn1 = 7.5\nn2 = 30.0\nn3 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n2\nt2 = 1.0 / n1\nt3 = 1.0 / n3\nt4 = t0 - t1\nt5 = t2 - t3\nt6 = 1 / t4\nt7 = 1 / t5\nanswer = t6 + t7\nprint(answer)" + ], + "Output Answer": [ + "41.42857142857143" + ], + "split": "test" + }, + { + "Input": "a thief goes away with a santro car at a speed of 50 kmph . the theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start ?", + "Output Program": [ + "n0 = 50.0\nn1 = 60.0\nt0 = 1.0 / 2.0\nt1 = n1 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = t3 - t0\nprint(answer)" + ], + "Output Answer": [ + "2" + ], + "split": "test" + }, + { + "Input": "a 240 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?", + "Output Program": [ + "n0 = 240.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "260.03999999999996" + ], + "split": "test" + }, + { + "Input": "a and b can together finish a work in 40 days . they worked together for 10 days and then b left . after another 18 days , a finished the remaining work . in how many days a alone can finish the job ?", + "Output Program": [ + "n0 = 40.0\nn1 = 10.0\nn2 = 18.0\nt0 = n0 * n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "test" + }, + { + "Input": "there are 28 stations between ernakulam and chennai . how many second class tickets have to be printed , so that a passenger can travel from one station to any other station ?", + "Output Program": [ + "n0 = 28.0\nt0 = n0 + 2.0\nt1 = t0 - 1.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "870" + ], + "split": "test" + }, + { + "Input": "the length of the bridge , which a train 180 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?", + "Output Program": [ + "n0 = 180.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "195" + ], + "split": "test" + }, + { + "Input": "find the expenditure on digging a well 14 m deep and of 3 m diameter at rs . 14 per cubic meter ?", + "Output Program": [ + "import math\nn0 = 14.0\nn1 = 3.0\nn2 = 14.0\nt0 = n1 / 2.0\nt1 = math.pi * t0**2 * n0\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "1385.442360233099" + ], + "split": "test" + }, + { + "Input": "if 8 men or 12 women can do a piece of work in 25 days , in how many days can the same work be done by 6 men and 11 women ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 25.0\nn3 = 6.0\nn4 = 11.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = n3 / t0\nt3 = n4 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "test" + }, + { + "Input": "a train 140 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train . find the speed of the train .", + "Output Program": [ + "n0 = 140.0\nn1 = 6.0\nn2 = 5.0\nt0 = n1 * 0.2778\nt1 = n0 / t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "78.993280537557" + ], + "split": "test" + }, + { + "Input": "if the wheel is 14 cm then the number of revolutions to cover a distance of 880 cm is ?", + "Output Program": [ + "n0 = 14.0\nn1 = 880.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "10.009099181073703" + ], + "split": "test" + }, + { + "Input": "a and b can do a piece of work in 7 days , b and c in 8 days , c and a in 9 days . how long will c take to do it ?", + "Output Program": [ + "n0 = 7.0\nn1 = 8.0\nn2 = 9.0\nt0 = n0 * 3.0\nt1 = t0 / n0\nt2 = t0 / n1\nt3 = t0 / n2\nt4 = t1 + t2\nt5 = t4 + t3\nt6 = t5 / 2.0\nt7 = t6 - t1\nanswer = t0 / t7\nprint(answer)" + ], + "Output Answer": [ + "21.44680851063829" + ], + "split": "test" + }, + { + "Input": "car x began traveling at an average speed of 35 miles per hour . after 36 minutes , car y began traveling at an average speed of 38 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?", + "Output Program": [ + "n0 = 35.0\nn1 = 36.0\nn2 = 38.0\nt0 = n1 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "245" + ], + "split": "test" + }, + { + "Input": "two men are going along a track rail in the opposite direction . one goods train crossed the first person in 20 sec . after 10 min the train crossed the other person who is coming in opposite direction in 18 sec . after the train has passed , when the two persons will meet ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 18.0\nt0 = n2 / 2.0\nt1 = n1 * 60.0\nt2 = t0 * t1\nanswer = t2 / 60.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "test" + }, + { + "Input": "if 11.25 m of a uniform steel rod weighs 42.75 kg . what will be the weight of 10 m of the same rod ?", + "Output Program": [ + "n0 = 11.25\nn1 = 42.75\nn2 = 10.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "38" + ], + "split": "test" + }, + { + "Input": "8 men can dig a pit in 20 days . if a man works half as much again a s a boy , then 4 men and 9 boys can dig a similar pit in :", + "Output Program": [ + "n0 = 8.0\nn1 = 20.0\nn2 = 4.0\nn3 = 9.0\nt0 = 3.0 / 2.0\nt1 = n0 * t0\nt2 = n2 * t0\nt3 = n3 + t2\nt4 = n1 * t1\nanswer = t4 / t3\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "test" + }, + { + "Input": "a train is 410 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length", + "Output Program": [ + "n0 = 410.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "test" + }, + { + "Input": "a train 520 m long can cross an electric pole in 20 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 520.0\nn1 = 20.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "93.6" + ], + "split": "test" + }, + { + "Input": "two dogsled teams raced across a 300 mile course in wyoming . team a finished the course in 3 fewer hours than team q . if team a ' s average speed was 5 mph greater than team q ' s , what was team q ' s average mph ?", + "Output Program": [ + "n0 = 300.0\nn1 = 3.0\nn2 = 5.0\nt0 = n0 / n2\nanswer = t0 / n1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "20 men do a work in 20 days . how many men are needed to finish the work in 10 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 20.0\nn2 = 10.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "test" + }, + { + "Input": "x does a work in 20 days . y does the same work in 30 days . in how many days they together will do the same work ?", + "Output Program": [ + "n0 = 20.0\nn1 = 30.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999998" + ], + "split": "test" + }, + { + "Input": "jack and jill are marathon runners . jack can finish a marathon ( 42 km ) in 3.5 hours and jill can run a marathon in 4.2 hours . what is the ratio of their average running speed ? ( jack : jill )", + "Output Program": [ + "n0 = 42.0\nn1 = 3.5\nn2 = 4.2\nt0 = n0 / n1\nt1 = n0 / n2\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "1.2" + ], + "split": "test" + }, + { + "Input": "in a 500 m race , the ratio of the speeds of two contestants a and b is 3 : 4 . a has a start of 155 m . then , a wins by :", + "Output Program": [ + "n0 = 500.0\nn1 = 3.0\nn2 = 4.0\nn3 = 155.0\nt0 = n0 - n3\nt1 = n2 * t0\nt2 = t1 / n1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "test" + }, + { + "Input": "a student traveled 10 percent of the distance of the trip alone , continued another 30 miles with a friend , and then finished the last half of the trip alone . how many miles long was the trip ?", + "Output Program": [ + "n0 = 10.0\nn1 = 30.0\nt0 = 1.0 / 2.0\nt1 = 1 / n0\nt2 = 1.0 - t1\nt3 = t2 - t0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "test" + }, + { + "Input": "a can do a piece of work 30 days . b can do work in 45 days . in how many days they will complete the work together ?", + "Output Program": [ + "n0 = 30.0\nn1 = 45.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "test" + }, + { + "Input": "a truck covers a distance of 288 km at a certain speed in 8 hours . how much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 90 km more than that travelled by the truck ?", + "Output Program": [ + "n0 = 288.0\nn1 = 8.0\nn2 = 18.0\nn3 = 90.0\nt0 = n0 + n3\nt1 = n0 / n1\nt2 = n2 + t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "test" + }, + { + "Input": "a certain number of workers can do a work in 85 days . if there were 10 workers more it could be finished in 10 days less . how many workers are there ?", + "Output Program": [ + "n0 = 85.0\nn1 = 10.0\nn2 = 10.0\nt0 = n0 - n1\nt1 = n1 * t0\nt2 = n0 - t0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "test" + }, + { + "Input": "two trains start simultaneously from opposite ends of a 175 - km route and travel toward each other on parallel tracks . train x , traveling at a constant rate , completes the 175 - km trip in 4 hours . train y , travelling at a constant rate , completes the 175 - km trip in 3 hours . how many kilometers had train x traveled when it met train y ?", + "Output Program": [ + "n0 = 175.0\nn1 = 175.0\nn2 = 4.0\nn3 = 175.0\nn4 = 3.0\nt0 = n0 / n2\nt1 = n0 / n4\nt2 = t0 + t1\nt3 = n0 / t2\nanswer = t0 * t3\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "test" + }, + { + "Input": "if 12 men or 20 women can do a piece of work in 54 days , then in how many days can 9 men and 12 women together do the work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 20.0\nn2 = 54.0\nn3 = 9.0\nn4 = 12.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = n3 / t0\nt3 = n4 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "test" + }, + { + "Input": "tom traveled the entire 60 miles trip . if he did the first 15 miles of at a constant rate 24 miles per hour and the remaining trip of at a constant rate 45 miles per hour , what is the his average speed , in miles per hour ?", + "Output Program": [ + "n0 = 60.0\nn1 = 15.0\nn2 = 24.0\nn3 = 45.0\nt0 = n1 / n2\nt1 = n0 - n1\nt2 = n3 / t1\nt3 = t2 + t0\nanswer = n0 / t3\nprint(answer)" + ], + "Output Answer": [ + "36.92307692307692" + ], + "split": "test" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 30 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 30.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "500.00000000000006" + ], + "split": "test" + }, + { + "Input": "in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 80 questions and secures 120 marks , the number of questions he attempts correctly , is :", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 80.0\nn3 = 120.0\nt0 = n2 + n3\nt1 = n0 + n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "test" + }, + { + "Input": "a garrison of 500 men has provisions for 20 days . at the end of 14 days , a reinforcement arrives , and it is now found that the provisions will last only for 3 days more . what is the reinforcement ?", + "Output Program": [ + "n0 = 500.0\nn1 = 20.0\nn2 = 14.0\nn3 = 3.0\nt0 = n0 * n1\nt1 = n0 * n2\nt2 = t0 - t1\nt3 = t2 / n3\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "500" + ], + "split": "test" + }, + { + "Input": "how long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length ?", + "Output Program": [ + "n0 = 165.0\nn1 = 54.0\nn2 = 660.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "54.995600351971845" + ], + "split": "test" + }, + { + "Input": "in covering a distance of 54 km , abhay takes 2 hours more than sameer . if abhay doubles his speed , then he would take 1 hour less than sameer . abhay ' s speed is :", + "Output Program": [ + "n0 = 54.0\nn1 = 2.0\nn2 = 1.0\nt0 = n1 + n2\nt1 = n0 / n1\nt2 = n0 - t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "test" + }, + { + "Input": "the length of minute hand of a clock is 5.6 cm . what is the area covered by this in 10 minutes", + "Output Program": [ + "n0 = 5.6\nn1 = 10.0\nt0 = 3.0 + 4.0\nt1 = 10.0 * 2.0\nt2 = 1.0 * 60.0\nt3 = 100.0 * 3.6\nt4 = n0 * n0\nt5 = t1 + 2.0\nt6 = t2 / t3\nt7 = t5 / t0\nt8 = t6 * t4\nanswer = t7 * t8\nprint(answer)" + ], + "Output Answer": [ + "16.426666666666662" + ], + "split": "test" + }, + { + "Input": "a cistern 10 meters long and 4 meters wide contains water up to a depth of 1 meter 25 cm . what is the total area of the wet surface ?", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nn2 = 1.0\nn3 = 25.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n2 + t0\nt3 = n1 * t2\nt4 = n0 * t2\nt5 = t3 * 2.0\nt6 = t4 * 2.0\nt7 = t1 + t5\nanswer = t7 + t6\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "test" + }, + { + "Input": "how many seconds does sandy take to cover a distance of 600 meters , if sandy runs at a speed of 18 km / hr ?", + "Output Program": [ + "n0 = 600.0\nn1 = 18.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "119.99040076793857" + ], + "split": "test" + }, + { + "Input": "calculate how many days it will take for 10 boys to paint a 80 m long wall if 6 boys can paint a 70 m long wall in 8 days ,", + "Output Program": [ + "n0 = 10.0\nn1 = 80.0\nn2 = 6.0\nn3 = 70.0\nn4 = 8.0\nt0 = n2 * n4\nt1 = n0 * n3\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "5.485714285714286" + ], + "split": "test" + }, + { + "Input": "a monkey start climbing up a tree 18 ft tall . each hour it hops 3 ft and slips back 2 ft . how much time would it take the monkey to reach the top .", + "Output Program": [ + "n0 = 18.0\nn1 = 3.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = n0 / t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "test" + }, + { + "Input": "jane and ashley take 8 days and 40 days respectively to complete a project when they work on it alone . they thought if they worked on the project together , they would take fewer days to complete it . during the period that they were working together , jane took an eight day leave from work . this led to jane ' s working for four extra days on her own to complete the project . how long did it take to finish the project ?", + "Output Program": [ + "n0 = 8.0\nn1 = 40.0\nt0 = 4.0 + 4.0\nt1 = 1.0 / n0\nt2 = 1.0 / n1\nt3 = t1 + t2\nt4 = t1 * 4.0\nt5 = t0 * t2\nt6 = 1.0 - t4\nt7 = t6 - t5\nt8 = t7 / t3\nt9 = t0 + t8\nanswer = t9 + 4.0\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "test" + }, + { + "Input": "a bullet train 150 m long is running with a speed of 30 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the bullet train is going ?", + "Output Program": [ + "n0 = 150.0\nn1 = 30.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = t0 * 1000.0\nt2 = t1 / 3600.0\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "test" + }, + { + "Input": "a worker ' s daily wage is increased by 50 % and the new wage is $ 30 per day . what was the worker ' s daily wage before the increase ?", + "Output Program": [ + "n0 = 50.0\nn1 = 30.0\nt0 = n0 / 100.0\nt1 = t0 + 1.0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "if the weight of 12 meters long rod is 13.4 kg . what is the weight of 6 meters long rod ?", + "Output Program": [ + "n0 = 12.0\nn1 = 13.4\nn2 = 6.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "6.7" + ], + "split": "test" + }, + { + "Input": "john and steve are speed walkers in a race . john is 10 meters behind steve when he begins his final push . john blazes to the finish at a pace of 4.2 m / s , while steve maintains a blistering 3.7 m / s speed . if john finishes the race 2 meters ahead of steve , how long was john \u2019 s final push ?", + "Output Program": [ + "n0 = 10.0\nn1 = 4.2\nn2 = 3.7\nn3 = 2.0\nt0 = n0 + n3\nt1 = n1 - n2\nt2 = n2 * t0\nt3 = t2 / t1\nt4 = t0 + t3\nanswer = t4 / n1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "test" + }, + { + "Input": "the angle between the minute hand and the hour hand of a clock when the time is 11.30 , is", + "Output Program": [ + "n0 = 11.3\nt0 = 1.0 + 4.0\nt1 = 60.0 / 2.0\nt2 = 3.0 * 4.0\nt3 = t2 - 1.0\nt4 = t2 / t3\nt5 = t0 * t3\nt6 = t4 * t5\nt7 = t6 - t1\nt8 = t7 * t3\nanswer = t8 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "164.99999999999997" + ], + "split": "test" + }, + { + "Input": "a train moves with a speed of 108 kmph . its speed in metres per second is :", + "Output Program": [ + "n0 = 108.0\n\nanswer = n0 * 0.2778\nprint(answer)" + ], + "Output Answer": [ + "30.002399999999998" + ], + "split": "test" + }, + { + "Input": "mahesh can do a piece of work in 30 days . he works at it for 20 days and then rajesh finished it in 30 days . how long will y take to complete the work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 20.0\nn2 = 30.0\nt0 = 1.0 / n0\nt1 = n1 * t0\nt2 = 1.0 - t1\nt3 = t2 / n2\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "test" + }, + { + "Input": "a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 18 seconds . what is the length of the platform in meters ?", + "Output Program": [ + "n0 = 72.0\nn1 = 30.0\nn2 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nt2 = n1 * t1\nt3 = n2 * t1\nanswer = t2 - t3\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "test" + }, + { + "Input": "a and b can together finish a work in 10 days . they worked together for 5 days and then b left . after another 5 days , a finished the remaining work . in how many days a alone can finish the job ?", + "Output Program": [ + "n0 = 10.0\nn1 = 5.0\nn2 = 5.0\nt0 = n0 * n2\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "test" + }, + { + "Input": "if 4 men working 10 hours a day earn rs . 1600 per week , then 9 men working 6 hours a day will earn how much per week ?", + "Output Program": [ + "n0 = 4.0\nn1 = 10.0\nn2 = 1600.0\nn3 = 9.0\nn4 = 6.0\nt0 = n3 * n4\nt1 = n0 * n1\nt2 = t0 / t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "2160" + ], + "split": "test" + }, + { + "Input": "arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 40 days .", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nn2 = 40.0\nt0 = n2 / n0\nt1 = n1 * t0\nanswer = n2 - t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "test" + }, + { + "Input": "800 men have provisions for 15 days . if 200 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 800.0\nn1 = 15.0\nn2 = 200.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "1000 men have provisions for 15 days . if 300 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 1000.0\nn1 = 15.0\nn2 = 300.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "11.538461538461538" + ], + "split": "test" + }, + { + "Input": "a train 150 m long passes a km stone in 15 seconds and another train of the same length travelling in opposite direction in 8 seconds . the speed of the second train is", + "Output Program": [ + "n0 = 150.0\nn1 = 15.0\nn2 = 8.0\nt0 = n0 + n0\nt1 = n0 / n1\nt2 = n2 * t1\nt3 = t0 - t2\nt4 = t3 / n2\nanswer = t4 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "99" + ], + "split": "test" + }, + { + "Input": "p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 15 days to complete the same work . then q alone can do it in", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = t2 / 2.0\nt4 = t3 - t1\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "59.999999999999964" + ], + "split": "test" + }, + { + "Input": "a boy goes to his school from his house at a speed of 3 km / hr and returns at a speed of 2 km / hr . if he takes 5 hours in going and coming . the distance between his house and school is :", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 5.0\nt0 = n0 / n1\nt1 = t0 + 1.0\nt2 = n2 / t1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "a boat can travel with a speed of 12 km / hr in still water . if the speed of the stream is 4 km / hr , find the time taken by the boat to go 68 km downstream .", + "Output Program": [ + "n0 = 12.0\nn1 = 4.0\nn2 = 68.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.25" + ], + "split": "test" + }, + { + "Input": "p is able to do a piece of work in 10 days and q can do the same work in 12 days . if they can work together for 5 days , what is the fraction of work left ?", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nn2 = 5.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 + t1\nt3 = n2 * t2\nanswer = 1.0 - t3\nprint(answer)" + ], + "Output Answer": [ + "0.08333333333333326" + ], + "split": "test" + }, + { + "Input": "a cistern can be filled by a tap in 5 hours while it can be emptied by another tap in 10 hours . if both the taps are opened simultaneously then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 5.0\nn1 = 10.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "test" + }, + { + "Input": "the mall charges 50 cents for the first hour of parking and $ 3 for each additional hour until the customer reaches 4 hours , after that the parking fee is $ 1 per hour . if a certain customer parked his in the mall for 7 hours and 30 minutes , how much is he going to pay ?", + "Output Program": [ + "n0 = 50.0\nn1 = 3.0\nn2 = 4.0\nn3 = 1.0\nn4 = 7.0\nn5 = 30.0\nt0 = n0 / 100.0\nt1 = n1 * n1\nt2 = n4 - n2\nt3 = t0 + t2\nt4 = n3 * t3\nt5 = t1 + t4\nanswer = t5 + t0\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "test" + }, + { + "Input": "two stations p and q are 155 km apart on a straight track . one train starts from p at 7 a . m . and travels towards q at 20 kmph . another train starts from q at 8 a . m . and travels towards p at a speed of 25 kmph . at what time will they meet ?", + "Output Program": [ + "n0 = 155.0\nn1 = 7.0\nn2 = 20.0\nn3 = 8.0\nn4 = 25.0\nt0 = n0 + n4\nt1 = n2 + n4\nt2 = t0 / t1\nanswer = n1 + t2\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "test" + }, + { + "Input": "the number of students in each section of a school is 24 . after admitting new students , 3 new sections were started . now , the total number of sections is 16 and there are 21 students in each section . the number of new students admitted is :", + "Output Program": [ + "n0 = 24.0\nn1 = 16.0\nn2 = 21.0\nt0 = n1 * n2\nt1 = n1 - 3.0\nt2 = n0 * t1\nanswer = t0 - t2\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "test" + }, + { + "Input": "how long does a train 100 m long travelling at 60 kmph takes to cross a bridge of 120 m in length ?", + "Output Program": [ + "n0 = 100.0\nn1 = 60.0\nn2 = 120.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "13.198944084473244" + ], + "split": "test" + }, + { + "Input": "kathleen can paint a room in 2 hours , and anthony can paint an identical room in 3 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1.0 / t2\nanswer = t3 * n0\nprint(answer)" + ], + "Output Answer": [ + "2.4000000000000004" + ], + "split": "test" + }, + { + "Input": "a can run 2.7 km distance in 1 min 20 seconds , while b can run this distance in 1 min 30 sec . by how much distance can a beat b ?", + "Output Program": [ + "n0 = 2.7\nn1 = 1.0\nn2 = 20.0\nn3 = 1.0\nn4 = 30.0\nt0 = n0 * 1000.0\nt1 = n1 * 60.0\nt2 = n3 * 60.0\nt3 = n2 + t1\nt4 = n4 + t2\nt5 = t0 / t4\nt6 = t3 * t5\nanswer = t0 - t6\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "test" + }, + { + "Input": "how long does a train 150 m long traveling at 60 kmph takes to cross a bridge of 170 m in length ?", + "Output Program": [ + "n0 = 150.0\nn1 = 60.0\nn2 = 170.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "19.19846412287017" + ], + "split": "test" + }, + { + "Input": "a and b undertake to do a piece of work for $ 600 . a alone can do it in 6 days while b alone can do it in 8 days . with the help of c , they finish it in 3 days . find the share of a ?", + "Output Program": [ + "n0 = 600.0\nn1 = 6.0\nn2 = 8.0\nn3 = 3.0\nt0 = 1 / n1\nt1 = 1 / n3\nt2 = 1 / n2\nt3 = n2 * n3\nt4 = t0 + t2\nt5 = t0 * t3\nt6 = t2 * t3\nt7 = t1 - t4\nt8 = t3 * t7\nt9 = t8 + t5\nt10 = t9 + t6\nt11 = t5 / t10\nanswer = n0 * t11\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "test" + }, + { + "Input": "a 250 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?", + "Output Program": [ + "n0 = 250.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "250.03999999999996" + ], + "split": "test" + }, + { + "Input": "if 12 men can reap 120 acres of land in 16 days , how many acres of land can 36 men reap in 32 days ?", + "Output Program": [ + "n0 = 12.0\nn1 = 120.0\nn2 = 16.0\nn3 = 36.0\nn4 = 32.0\nt0 = n3 / n0\nt1 = n4 / n2\nt2 = t0 * t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "720" + ], + "split": "test" + }, + { + "Input": "a man can row upstream at 25 kmph and downstream at 43 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 25.0\nn1 = 43.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "34" + ], + "split": "test" + }, + { + "Input": "the length and breadth of a rectangular courtyard is 75 m and 32 m . find the cost of leveling it at the rate of $ 3 per m 2 . also , find the distance covered by a boy to take 4 rounds of the courtyard .", + "Output Program": [ + "n0 = 75.0\nn1 = 32.0\nn2 = 3.0\nn3 = 2.0\nn4 = 4.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "7200" + ], + "split": "test" + }, + { + "Input": "a man and a boy complete a work together in 24 days . if for the last 6 days man alone does the work then it is completed in 26 days . how long the boy will take to complete the work alone ?", + "Output Program": [ + "n0 = 24.0\nn1 = 6.0\nn2 = 26.0\nt0 = n2 * 2.0\nt1 = n2 - n1\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "72" + ], + "split": "test" + }, + { + "Input": "a certain industrial loom weaves 0.13 meters of cloth every second . approximately how many seconds will it take for the loom to weave 15 meters of cloth ?", + "Output Program": [ + "n0 = 0.13\nn1 = 15.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "115.38461538461539" + ], + "split": "test" + }, + { + "Input": "in a manufacturing plant , it takes 36 machines 4 hours of continuous work to fill 6 standard orders . at this rate , how many hours of continuous work by 72 machines are required to fill 12 standard orders ?", + "Output Program": [ + "n0 = 36.0\nn1 = 4.0\nn2 = 6.0\nn3 = 72.0\nn4 = 12.0\nt0 = n0 * n4\nt1 = t0 * 4.0\nt2 = t1 / n3\nanswer = t2 / n2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "a car is running at a speed of 90 kmph . what distance will it cover in 10 sec ?", + "Output Program": [ + "n0 = 90.0\nn1 = 10.0\nt0 = n0 / 3.6\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "test" + }, + { + "Input": "48 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?", + "Output Program": [ + "n0 = 48.0\nn1 = 12.0\nn2 = 5.0\nn3 = 30.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = n3 * n4\nt2 = n2 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "test" + }, + { + "Input": "a , b , k start from the same place and travel in the same direction at speeds of 30 km / hr , 40 km / hr , 60 km / hr respectively . b starts 6 hours after a . if b and k overtake a at the same instant , how many hours after a did k start ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 60.0\nn3 = 6.0\nt0 = n0 * n3\nt1 = n1 - n0\nt2 = t0 / t1\nt3 = n3 + t2\nt4 = n0 * t3\nanswer = t4 / n2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "pipe a fills a tank in 42 minutes . pipe b can fill the same tank 6 times as fast as pipe a . if both the pipes are kept open when the tank is empty , how many minutes will it take to fill the tank ?", + "Output Program": [ + "n0 = 42.0\nn1 = 6.0\nt0 = 1.0 / n0\nt1 = n1 / n0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "900 men have provisions for 15 days . if 200 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 900.0\nn1 = 15.0\nn2 = 200.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "12.272727272727273" + ], + "split": "test" + }, + { + "Input": "joe drives 600 miles at 60 miles per hour , and then he drives the next 120 miles at 40 miles per hour . what is his average speed for the entire trip in miles per hour ?", + "Output Program": [ + "n0 = 600.0\nn1 = 60.0\nn2 = 120.0\nn3 = 40.0\nt0 = n0 + n2\nt1 = n0 / n1\nt2 = n2 / n3\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "55.38461538461539" + ], + "split": "test" + }, + { + "Input": "a can give b 120 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 120.0\nn1 = 200.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "90.90909090909088" + ], + "split": "test" + }, + { + "Input": "pipe a can fill a tank in 9 hours . due to a leak at the bottom , it takes 12 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?", + "Output Program": [ + "n0 = 9.0\nn1 = 12.0\nt0 = n0 * n1\nt1 = n1 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "test" + }, + { + "Input": "a sprinter starts running on a circular path of radius r metres . her average speed ( in metres / minute ) is \u03c0 r during the first 30 seconds , \u03c0 r / 2 during next one minute , \u03c0 r / 4 during next 2 minutes , \u03c0 r / 8 during next 4 minutes , and so on . what is the ratio of the time taken for the nth round to that for the previous round ?", + "Output Program": [ + "n0 = 30.0\nn1 = 2.0\nn2 = 4.0\nn3 = 2.0\nn4 = 8.0\nn5 = 4.0\n\nanswer = n1**min(n2, 5)\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "test" + }, + { + "Input": ". a car covers a distance of 1028 km in 4 hours . find its speed ?", + "Output Program": [ + "n0 = 1028.0\nn1 = 4.0\n\nanswer = n0 / n1\nprint(answer)" + ], + "Output Answer": [ + "257" + ], + "split": "test" + }, + { + "Input": "an enterprising businessman earns an income of re 5 on the first day of his business . on every subsequent day , he earns an income which is just thrice of that made on the previous day . on the 10 th day of business , he earns an income of :", + "Output Program": [ + "n0 = 5.0\nn1 = 10.0\nt0 = n0 * n1\nanswer = t0 - n0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "test" + }, + { + "Input": "two goods train each 500 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively find the time taken by the slower train to pass the driver of the faster one .", + "Output Program": [ + "n0 = 500.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 + n2\nt1 = t0 * 1000.0\nt2 = t1 / 3600.0\nt3 = n0 / t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "test" + }, + { + "Input": "a can give b 100 meters start and c 120 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 100.0\nn1 = 120.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "22.22222222222217" + ], + "split": "test" + }, + { + "Input": "a train 450 metres long is moving at a speed of 25 kmph . it will cross a man coming from the opposite direction at a speed of 2 km per hour in :", + "Output Program": [ + "n0 = 450.0\nn1 = 25.0\nn2 = 2.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "test" + }, + { + "Input": "in what time will a train 175 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 175.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.3746500279977605" + ], + "split": "test" + }, + { + "Input": "susan drives from city a to city b . after two hours of driving she noticed that she covered 80 km and calculated that , if she continued driving at the same speed , she would end up been 15 minutes late . so she increased her speed by 10 km / hr and she arrived at city b 36 minutes earlier than she planned . find the distance between cities a and b .", + "Output Program": [ + "n0 = 80.0\nn1 = 15.0\nn2 = 10.0\nn3 = 36.0\nt0 = n3 / 60.0\nt1 = n0 / 2.0\nt2 = n1 / 60.0\nt3 = n2 + t1\nt4 = 1.0 / t1\nt5 = n0 / t3\nt6 = 1.0 / t3\nt7 = t0 - t5\nt8 = t4 - t6\nt9 = t7 + 2.0\nt10 = t9 - t2\nt11 = t10 / t8\nanswer = t11 + 100.0\nprint(answer)" + ], + "Output Answer": [ + "249.99999999999997" + ], + "split": "test" + }, + { + "Input": "a train running at the speed of 40 km / hr crosses a pole in 9 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 40.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "test" + }, + { + "Input": "a man walking at a constant rate of 9 miles per hour is passed by a woman traveling in the same direction along the same path at a constant rate of 15 miles per hour . the woman stops to wait for the man 3 minutes after passing him , while the man continues to walk at his constant rate . how many minutes must the woman wait until the man catches up ?", + "Output Program": [ + "n0 = 9.0\nn1 = 15.0\nn2 = 3.0\nt0 = n2 / 60.0\nt1 = n1 - n0\nt2 = t0 * t1\nt3 = t2 / n0\nanswer = t3 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "2.0000000000000004" + ], + "split": "test" + }, + { + "Input": "a 240 meter long train running at the speed of 120 kmph crosses another train running in the opposite direction at the speed of 80 kmph in 9 seconds . what is the lenght of other train .", + "Output Program": [ + "n0 = 240.0\nn1 = 120.0\nn2 = 80.0\nn3 = 9.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = n3 * t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "260.03999999999996" + ], + "split": "test" + }, + { + "Input": "mr . das decided to walk down the escalator of a mall . he found that if he walks down 26 steps , he requires 30 seconds to reach the bottom . however , if he steps down 34 stair she would only require 18 seconds to get to the bottom . if the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom , find out the height of the stair way insteps ?", + "Output Program": [ + "n0 = 26.0\nn1 = 30.0\nn2 = 34.0\nn3 = 18.0\nt0 = 10.0 * 4.0\nt1 = n2 - n0\nt2 = n1 - n3\nt3 = t1 / t2\nt4 = n1 * t3\nt5 = n0 + t4\nanswer = t5 - t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "a train 310 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 310.0\nn1 = 60.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = n0 / 1000.0\nt2 = t1 / t0\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "16.90909090909091" + ], + "split": "test" + }, + { + "Input": "two persons a and b can complete a piece of work in 30 days and 45 days respectively . if they work together , what part of the work will be completed in 6 days ?", + "Output Program": [ + "n0 = 30.0\nn1 = 45.0\nn2 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = n2 * t2\nprint(answer)" + ], + "Output Answer": [ + "0.3333333333333333" + ], + "split": "test" + }, + { + "Input": "a man can row upstream at 40 kmph and downstream at 52 kmph , and then find the speed of the man in still water ?", + "Output Program": [ + "n0 = 40.0\nn1 = 52.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "46" + ], + "split": "test" + }, + { + "Input": "a can do a piece of work in 10 days and b alone can do it in 20 days . how much time will both take to finish the work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6.666666666666666" + ], + "split": "test" + }, + { + "Input": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 48 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 36.0\nn2 = 48.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "480" + ], + "split": "test" + }, + { + "Input": "a boatman selling a boat along river flow . if he sell boat in steal water at 3 m / sec and flow of river is 2 m / sec . how much time he will take to sell 100 m .", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 100.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "jack and jill work at a hospital with 4 other workers . for an internal review , 2 of the 6 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?", + "Output Program": [ + "import math\nn0 = 4.0\nn1 = 2.0\nn2 = 6.0\nt0 = math.factorial(min(15, int(n2)))\nt1 = math.factorial(min(15, int(n1)))\nt2 = math.factorial(min(15, int(n0)))\nt3 = t1 * t2\nt4 = t0 / t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "0.06666666666666667" + ], + "split": "test" + }, + { + "Input": "a bullock cart has to cover a distance of 80 km in 10 hrs . if it covers half of the journey in 3 / 5 th time . what should be its speed to cover the remaining distance in the time left .", + "Output Program": [ + "n0 = 80.0\nn1 = 10.0\nn2 = 3.0\nn3 = 5.0\nt0 = n0 / 2.0\nt1 = n1 / n3\nt2 = n2 * t1\nt3 = n1 - t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "test" + }, + { + "Input": "darcy lives 1.5 miles from work . she can walk to work at a constant rate of 3 miles per hour , or she can ride the train to work at a constant rate of 20 miles per hour . if she rides the train , there is an additional x minutes spent walking to the nearest train station , waiting for the train , and walking from the final train station to her work . if it takes darcy a total of 20 more minutes to commute to work by walking than it takes her to commute to work by riding the train , what is the value of x ?", + "Output Program": [ + "n0 = 1.5\nn1 = 3.0\nn2 = 20.0\nn3 = 20.0\nt0 = 60.0 / 2.0\nt1 = n2 / n0\nt2 = 60.0 / t1\nt3 = t0 - n3\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "5.5" + ], + "split": "test" + }, + { + "Input": "how many seconds will a train 100 meters long take to cross a bridge 130 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 130.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "22.998160147188226" + ], + "split": "test" + }, + { + "Input": "two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 45 kmph respectively . in how much time will they cross each other , if they are running in the same direction ?", + "Output Program": [ + "n0 = 200.0\nn1 = 150.0\nn2 = 40.0\nn3 = 45.0\nt0 = n0 + n1\nt1 = n3 - n2\nt2 = t0 / 1000.0\nt3 = t2 / t1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "251.99999999999997" + ], + "split": "test" + }, + { + "Input": "how long does a train 125 m long running at the speed of 78 km / hr takes to cross a bridge 125 m length ?", + "Output Program": [ + "n0 = 125.0\nn1 = 78.0\nn2 = 125.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "11.53753853537871" + ], + "split": "test" + }, + { + "Input": "the length of the bridge , which a train 110 meters long and travelling at 45 km / hr can cross in 30 seconds , is :", + "Output Program": [ + "n0 = 110.0\nn1 = 45.0\nn2 = 30.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "265" + ], + "split": "test" + }, + { + "Input": "cole drove from home to work at an average speed of 60 kmh . he then returned home at an average speed of 100 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ?", + "Output Program": [ + "n0 = 60.0\nn1 = 100.0\nn2 = 2.0\nt0 = n0 + n1\nt1 = n1 * n2\nt2 = t1 / t0\nanswer = t2 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "75" + ], + "split": "test" + }, + { + "Input": "a man can row 5 kmph in still water . when the river is running at 2 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?", + "Output Program": [ + "n0 = 5.0\nn1 = 2.0\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "4.2" + ], + "split": "test" + }, + { + "Input": "how long does a truck of 200 m long traveling at 60 kmph takes to cross a bridge of 180 m in length ?", + "Output Program": [ + "n0 = 200.0\nn1 = 60.0\nn2 = 180.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "22.79817614590833" + ], + "split": "test" + }, + { + "Input": "if 36 men can do a piece of work in 25 hours , in how mwny hours will 15 men do it ?", + "Output Program": [ + "n0 = 36.0\nn1 = 25.0\nn2 = 15.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "test" + }, + { + "Input": "the tailor has a 10 meter long piece of fabric for which to sew a ball room dress . she has to cuts this fabric into strips of 200 centimeters each . how long will it take the tailor to complete this tasks if each 200 centimeter took 5 minutes to cut ?", + "Output Program": [ + "n0 = 10.0\nn1 = 200.0\nn2 = 200.0\nn3 = 5.0\nt0 = n0 * 1000.0\nt1 = t0 / n1\nt2 = t1 - 1.0\nanswer = n3 * t2\nprint(answer)" + ], + "Output Answer": [ + "245" + ], + "split": "test" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of $ 500 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 500.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "10312.5" + ], + "split": "test" + }, + { + "Input": "a bus 75 m long is running with a speed of 21 km / hr . in what time will it pass a woman who is walking at 3 km / hr in the direction opposite to that in which the bus is going ?", + "Output Program": [ + "n0 = 75.0\nn1 = 21.0\nn2 = 3.0\nt0 = n1 + n2\nt1 = n0 * 3600.0\nt2 = t1 / t0\nanswer = t2 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "11.25" + ], + "split": "test" + }, + { + "Input": "the distance from city a to city b is 100 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ?", + "Output Program": [ + "n0 = 100.0\nn1 = 40.0\nn2 = 30.0\nt0 = n0 / n1\nt1 = n2 / 60.0\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "test" + }, + { + "Input": "how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 132 m length ?", + "Output Program": [ + "n0 = 110.0\nn1 = 72.0\nn2 = 132.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "12.099032077433806" + ], + "split": "test" + }, + { + "Input": "pipe a can fill the tank in 30 minutes and pipe b can empty the tank in 90 minutes . how long it will take to fill the tank if both pipes are operating together ?", + "Output Program": [ + "n0 = 30.0\nn1 = 90.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "45.00000000000001" + ], + "split": "test" + }, + { + "Input": "an electric pump can fill a tank in 4 hours . because of a leak in the tank , it took 8 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 8.0\n\nanswer = n1 / 1.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "sari and ken climb up a mountain . at night , they camp together . on the day they are supposed to reach the summit , sari wakes up at 07 : 00 and starts climbing at a constant pace . ken starts climbing only at 09 : 00 , when sari is already 700 meters ahead of him . nevertheless , ken climbs at a constant pace of 500 meters per hour , and reaches the summit before sari . if sari is 50 meters behind ken when he reaches the summit , at what time did ken reach the summit ?", + "Output Program": [ + "n0 = 7.0\nn1 = 0.0\nn2 = 9.0\nn3 = 0.0\nn4 = 700.0\nn5 = 500.0\nn6 = 50.0\nt0 = n4 + n6\nt1 = n4 / 2.0\nt2 = n5 - t1\nt3 = t0 / t2\nanswer = n2 + t3\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "test" + }, + { + "Input": "if 3 girls can do 3 times of a particular work in 3 days , then , 7 girls can do 7 times of that work in", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 3.0\nn3 = 7.0\nn4 = 7.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "test" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 600 resolutions .", + "Output Program": [ + "n0 = 22.4\nn1 = 600.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "844.7999999999998" + ], + "split": "test" + }, + { + "Input": "a 1 k . m . long wire is held by n poles . if one pole is removed , the length of the gap becomes 12 / 3 m . what is the number of poles initially ?", + "Output Program": [ + "n0 = 1.0\nn1 = 12.0\nn2 = 3.0\nt0 = n1 * n2\nt1 = 10.0 * 4.0\nt2 = t0 * 12.0\nt3 = t2 + 10.0\nt4 = t3 + t1\nt5 = t4 + 10.0\nt6 = t5 + 10.0\nanswer = t6 - n0\nprint(answer)" + ], + "Output Answer": [ + "501" + ], + "split": "test" + }, + { + "Input": "in covering a distance of 30 km , arun takes 22 hours more than anil . if arun doubles his speed , then he would take 1 hour less than anil . what is arun ' s speed ?", + "Output Program": [ + "n0 = 30.0\nn1 = 22.0\nn2 = 1.0\nt0 = n2 + 2.0\nt1 = t0 * 2.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "test" + }, + { + "Input": "find the length of the wire required to go 12 times round a square field containing 104976 m 2 .", + "Output Program": [ + "import math\nn0 = 12.0\nn1 = 104976.0\nn2 = 2.0\nt0 = math.sqrt(n1) # square edge given area\nt1 = 4 * t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "15552" + ], + "split": "test" + }, + { + "Input": "along a yard 225 metres long , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between two consecutive trees", + "Output Program": [ + "n0 = 225.0\nn1 = 26.0\nt0 = n1 - 1.0\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "test" + }, + { + "Input": "what is the angle between the minute and the hour hand of the clock which shows 12 : 24 ?", + "Output Program": [ + "n0 = 12.0\nn1 = 24.0\nt0 = 2.0 * 3.0\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "132" + ], + "split": "test" + }, + { + "Input": "a train with 120 wagons crosses john who is going in the same direction , in 36 seconds . it travels for half an hour from the time it starts ove ( who is also riding on his horse ) coming from the opposite direction in 24 seconds . in how much time after the train has crossed the mike do the john meets to mike ? rtaking the john ( he is riding on the horse ) before it starts overtaking the mike", + "Output Program": [ + "n0 = 120.0\nn1 = 36.0\nn2 = 24.0\nt0 = n1 + n2\nt1 = 10.0 * 3.0\nt2 = n1 - n2\nt3 = t0 / t2\nt4 = t1 * 60.0\nt5 = t3 - 1.0\nt6 = t4 * t5\nt7 = t6 / 2.0\nanswer = t7 - n2\nprint(answer)" + ], + "Output Answer": [ + "3576" + ], + "split": "test" + }, + { + "Input": "a work as fast as b . if b can complete a work in 24 days independently , the number of days in which a and b can together finish the work in ?", + "Output Program": [ + "n0 = 24.0\nt0 = 1 / n0\nt1 = t0 * 2.0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 9 meters and a circumference of 8 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?", + "Output Program": [ + "n0 = 9.0\nn1 = 8.0\nn2 = 8.0\nn3 = 10.0\nt0 = n0 / n2\nt1 = n1 / n3\nt2 = t1**min(2.0, 5)\nt3 = t0 * t2\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "72.00000000000001" + ], + "split": "test" + }, + { + "Input": "220 metres long yard , 21 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees", + "Output Program": [ + "n0 = 220.0\nn1 = 21.0\nn2 = 2.0\nt0 = n1 - n2\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "test" + }, + { + "Input": "the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 10 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ?", + "Output Program": [ + "n0 = 60.0\nn1 = 5.0\nn2 = 10.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "test" + }, + { + "Input": "a student travels from his house to school at 10 km / hr and reaches school 1 hour late . the next day he travels 12 km / hr and reaches school 1 hour early . what is the distance between his house and the school ?", + "Output Program": [ + "n0 = 10.0\nn1 = 1.0\nn2 = 12.0\nn3 = 1.0\nt0 = n1 + n1\nt1 = n0 * n2\nt2 = n2 - n0\nt3 = t2 / t0\nanswer = t3 * t1\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "test" + }, + { + "Input": "two bullet trains of equal lengths take 10 seconds and 30 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?", + "Output Program": [ + "n0 = 10.0\nn1 = 30.0\nn2 = 120.0\nt0 = n2 + n2\nt1 = n2 / n0\nt2 = n2 / n1\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "test" + }, + { + "Input": "kathleen can paint a room in 2 hours , and anthony can paint an identical room in 7 hours . how many hours would it take kathleen and anthony to paint both rooms if they work together at their respective rates ?", + "Output Program": [ + "n0 = 2.0\nn1 = 7.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = 1.0 / t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "3.1111111111111116" + ], + "split": "test" + }, + { + "Input": "in what time will a railway train 110 m long moving at the rate of 36 kmph pass a telegraph post on its way ?", + "Output Program": [ + "n0 = 110.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "10.999120070394369" + ], + "split": "test" + }, + { + "Input": "a and b start walking towards each other at 5 am at speed of 4 kmph and 8 kmph . they were initially 36 km apart . at what time do they meet ?", + "Output Program": [ + "n0 = 5.0\nn1 = 4.0\nn2 = 8.0\nn3 = 36.0\nt0 = n1 + n2\nt1 = n3 / t0\nanswer = n0 + t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "a train 150 m long running at 72 kmph crosses a platform in 28 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 150.0\nn1 = 72.0\nn2 = 28.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "410.0448" + ], + "split": "test" + }, + { + "Input": "the speeds of three asteroids were compared . asteroids x - 13 and y - 14 were observed for identical durations , while asteroid z - 15 was observed for 2 seconds longer . during its period of observation , asteroid y - 14 traveled three times the distance x - 13 traveled , and therefore y - 14 was found to be faster than x - 13 by 1000 kilometers per second . asteroid z - 15 had an identical speed as that of x - 13 , but because z - 15 was observed for a longer period , it traveled five times the distance x - 13 traveled during x - 13 ' s inspection . asteroid x - 13 traveled how many kilometers during its observation ?", + "Output Program": [ + "n0 = 13.0\nn1 = 14.0\nn2 = 15.0\nn3 = 2.0\nn4 = 14.0\nn5 = 13.0\nn6 = 14.0\nn7 = 13.0\nn8 = 1000.0\nn9 = 15.0\nn10 = 13.0\nn11 = 15.0\nn12 = 13.0\nn13 = 13.0\nn14 = 13.0\nt0 = n8 / n3\nt1 = 1.0 / n3\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "test" + }, + { + "Input": "a man , a woman and a boy can together complete a piece of work in 3 days . if a man alone can do it in 6 days and a boy alone in 18 days , how long will a woman take to complete the work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 6.0\nn2 = 18.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t1 + t2\nt4 = t0 - t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "test" + }, + { + "Input": "a tank with a volume of 45 cubic feet has one inlet pipe and 2 outlet pipes . the inlet pipe fills water into the tank at the rate of 5 cubic inches / min and the 2 outlet pipes empty it out at the rates of 14 cubic inches / min and 6 cubic inches / min respectively . if all 3 pipes are opened when the tank is full , how many minutes does it take to empty the tank ? ( 1 foot = 12 inches )", + "Output Program": [ + "n0 = 45.0\nn1 = 2.0\nn2 = 5.0\nn3 = 2.0\nn4 = 14.0\nn5 = 6.0\nn6 = 3.0\nn7 = 1.0\nn8 = 12.0\nt0 = n4 + n5\nt1 = n8**min(n6, 5)\nt2 = n0 * t1\nt3 = t0 - n2\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "5184" + ], + "split": "test" + }, + { + "Input": "a boat running upstream takes 8 hours 48 minutes to cover a certain distance , while it takes 4 hours to cover the same distance running downstream . what is the ratio between the speed of the boat and speed of the water current respectively ?", + "Output Program": [ + "n0 = 8.0\nn1 = 48.0\nn2 = 4.0\nt0 = n1 / 60.0\nt1 = n0 + t0\nt2 = t1 / n2\nt3 = t2 + 1.0\nt4 = t2 - 1.0\nt5 = t3 / 2.0\nt6 = t4 / 2.0\nanswer = t5 / t6\nprint(answer)" + ], + "Output Answer": [ + "2.6666666666666665" + ], + "split": "test" + }, + { + "Input": "a worker makes a toy in every 1 h . if he works for 100 h , then how many toys will he make ?", + "Output Program": [ + "n0 = 1.0\nn1 = 100.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "test" + }, + { + "Input": "a man can row at 5 kmph in still water . if the velocity of current is 1 kmph and it takes him 1 hour to row to a place and come back , how far is the place ?", + "Output Program": [ + "n0 = 5.0\nn1 = 1.0\nn2 = 1.0\nt0 = n0 - n1\nt1 = t0 * 3.0\nanswer = t1 / n0\nprint(answer)" + ], + "Output Answer": [ + "2.4" + ], + "split": "test" + }, + { + "Input": "working alone at its constant rate , machine a produces x boxes in 10 minutes and working alone at its constant rate , machine b produces 2 x boxes in 5 minutes . how many minutes does it take machines a and b , working simultaneously at their respective constant rates , to produce 4 x boxes ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 5.0\nn3 = 4.0\nt0 = n0 * n3\nt1 = n0 * n1\nt2 = n0 / n0\nt3 = t1 / n2\nt4 = t2 + t3\nanswer = t0 / t4\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "10 men can cut 10 trees in 2 hours . if 2 men leave the job , how many trees will be cut in 3 hours ?", + "Output Program": [ + "n0 = 10.0\nn1 = 10.0\nn2 = 2.0\nn3 = 2.0\nn4 = 3.0\nt0 = n0 / n2\nt1 = n0 - n2\nt2 = t0 / n0\nt3 = t2 * t1\nanswer = n4 * t3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "6 people can do work in 80 days how much people they required to complete the work in 16 days ?", + "Output Program": [ + "n0 = 6.0\nn1 = 80.0\nn2 = 16.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "test" + }, + { + "Input": "on a map the distance between two mountains is 312 inches . the actual distance between the mountains is 140 km . ram is camped at a location that on the map is 34 inch from the base of the mountain . how many km is he from the base of the mountain ?", + "Output Program": [ + "n0 = 312.0\nn1 = 140.0\nn2 = 34.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "15.256410256410257" + ], + "split": "test" + }, + { + "Input": "david and lewis leave chennai for tirupati simultaneously at 7 a . m in the morning driving in two cars at speeds of 60 mph and 80 mph respectively . as soon as lewis reaches tirupati he returns back to chennai along the same route and meets david on the way back . if the distance between the two cities is 160 miles , how far from chennai did david and lewis meet ?", + "Output Program": [ + "n0 = 7.0\nn1 = 60.0\nn2 = 80.0\nn3 = 160.0\n\nanswer = n1 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "test" + }, + { + "Input": "city a to city b , andrew drove for 1 hour at 50 mph and for 3 hours at 60 mph . what was the average speed for the whole trip ?", + "Output Program": [ + "n0 = 1.0\nn1 = 50.0\nn2 = 3.0\nn3 = 60.0\nt0 = n0 + n2\nt1 = n0 * n1\nt2 = n2 * n3\nt3 = t1 + t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "57.5" + ], + "split": "test" + }, + { + "Input": "laxmi and prasanna set on a journey . laxmi moves northwards at a speed of 15 kmph and prasanna moves southward at a speed of 45 kmph . how far will be prasanna from laxmi after 60 minutes ?", + "Output Program": [ + "n0 = 15.0\nn1 = 45.0\nn2 = 60.0\n\nanswer = n0 + n1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "test" + }, + { + "Input": "car x began traveling at an average speed of 35 miles per hour . after 84 minutes , car y began traveling at an average speed of 42 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?", + "Output Program": [ + "n0 = 35.0\nn1 = 84.0\nn2 = 42.0\nt0 = n1 / 60.0\nt1 = n2 - n0\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = n0 * t3\nprint(answer)" + ], + "Output Answer": [ + "245" + ], + "split": "test" + }, + { + "Input": "a man can row 11 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and back . what is the total distance traveled by the man ?", + "Output Program": [ + "n0 = 11.0\nn1 = 1.2\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "10.86909090909091" + ], + "split": "test" + }, + { + "Input": "if the l . c . m of two numbers is 720 and their product is 38880 , find the h . c . f of the numbers .", + "Output Program": [ + "n0 = 720.0\nn1 = 38880.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "test" + }, + { + "Input": "a tank is filled by 3 pipes a , b , c in 7 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?", + "Output Program": [ + "n0 = 3.0\nn1 = 7.0\nt0 = 2.0 * 2.0\nt1 = t0 + 2.0\nt2 = t1 + 1.0\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "49" + ], + "split": "test" + }, + { + "Input": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 42 kmph , find the speed of the stream ?", + "Output Program": [ + "n0 = 42.0\nt0 = n0 * 2.0\nt1 = t0 / 3.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "test" + }, + { + "Input": "two good train each 750 m long , are running in opposite directions on parallel tracks . their speeds are 45 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one .", + "Output Program": [ + "n0 = 750.0\nn1 = 45.0\nn2 = 30.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nt2 = 1 / t1\nt3 = n0 * t2\nanswer = t3 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "71.99424046076314" + ], + "split": "test" + }, + { + "Input": "a work which could be finished in 7 days was finished 3 days earlier after 10 more men joined . the number of men employed was ?", + "Output Program": [ + "n0 = 7.0\nn1 = 3.0\nn2 = 10.0\nt0 = n1 * 2.0\nt1 = n2 * t0\nt2 = n0 - t0\nanswer = t1 / t2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "test" + }, + { + "Input": "a car gets 20 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 190 kilometers ?", + "Output Program": [ + "n0 = 20.0\nn1 = 190.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "9.5" + ], + "split": "test" + }, + { + "Input": "a is 1.5 times as fast as b . a alone can do the work in 20 days . if a and b working together , in how many days will the work be completed ?", + "Output Program": [ + "n0 = 1.5\nn1 = 20.0\nt0 = 1.0 / n1\nt1 = t0 / n0\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999998" + ], + "split": "test" + }, + { + "Input": "the speed of a boat in still water in 22 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 24 minutes is :", + "Output Program": [ + "n0 = 22.0\nn1 = 5.0\nn2 = 24.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "10.8" + ], + "split": "test" + }, + { + "Input": "a boat having a length 3 m and breadth 3 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "test" + }, + { + "Input": "walking with 4 / 5 of my usual speed , i miss the bus by 7 minutes . what is my usual time ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 7.0\nt0 = n1 / n0\nt1 = n2 / t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "test" + }, + { + "Input": "a train is 435 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length", + "Output Program": [ + "n0 = 435.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "46" + ], + "split": "test" + }, + { + "Input": "if the l . c . m of two numbers is 450 and their product is 22500 , find the h . c . f of the numbers .", + "Output Program": [ + "n0 = 450.0\nn1 = 22500.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "test" + }, + { + "Input": "if a fast song has 160 beats per minute , and a slow song has 90 beats per minute , how many minutes total would you play a fast and a slow song to have a stream of music that had a total of 1020 beats ?", + "Output Program": [ + "import math\nn0 = 160.0\nn1 = 90.0\nn2 = 1020.0\nt0 = n0 + n1\nt1 = n2 / t0\nt2 = t1 * 2.0\nt3 = math.floor(t2)\nanswer = t3 + 1.0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "test" + }, + { + "Input": "a man covered a certain distance at some speed . had he moved 3 kmph faster , he would have taken 40 minutes less . if he had moved 2 kmph slower , he would have taken 40 minutes more . the distance ( in km ) is", + "Output Program": [ + "n0 = 3.0\nn1 = 40.0\nn2 = 2.0\nn3 = 40.0\nt0 = n1 / 60.0\nt1 = n0 * n2\nt2 = n0 - n2\nt3 = n2 * t1\nt4 = t3 / t2\nt5 = t4 / n0\nt6 = t4 * t0\nt7 = t5 + 1.0\nanswer = t7 * t6\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "test" + }, + { + "Input": "joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 2 of all the paint . during the second week , he uses 1 / 5 of the remaining paint . how many gallons of paint has joe used ?", + "Output Program": [ + "n0 = 360.0\nn1 = 1.0\nn2 = 2.0\nn3 = 1.0\nn4 = 5.0\nt0 = n0 / n2\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n4\nanswer = t3 + t1\nprint(answer)" + ], + "Output Answer": [ + "216" + ], + "split": "test" + }, + { + "Input": "a room 5 m 44 cm long and 3 m 74 cm broad needs to be paved with square tiles . what will be the least number of square tiles required to cover the floor ?", + "Output Program": [ + "n0 = 5.0\nn1 = 44.0\nn2 = 3.0\nn3 = 74.0\nt0 = n0 * 100.0\nt1 = n2 * 100.0\nt2 = 2.0 * 4.0\nt3 = n1 + t0\nt4 = n3 + t1\nt5 = t2 + 2.0\nt6 = t3 * t4\nt7 = n1 - t5\nt8 = t7 * t7\nanswer = t6 / t8\nprint(answer)" + ], + "Output Answer": [ + "176" + ], + "split": "test" + }, + { + "Input": "suppose 10 monkeys take 20 minutes to eat 10 bananas . how many monkeys would it take to eat 80 bananas in 80 minutes ?", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nn2 = 10.0\nn3 = 80.0\nn4 = 80.0\nt0 = n3 / n1\nanswer = n3 / t0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "jonathan can type a 30 page document in 40 minutes , susan can type it in 30 minutes , and jack can type it in 24 minutes . working together , how much time will it take them to type the same document ?", + "Output Program": [ + "n0 = 30.0\nn1 = 40.0\nn2 = 30.0\nn3 = 24.0\nt0 = n0 / n1\nt1 = n0 / n2\nt2 = n0 / n3\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = n0 / t4\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "test" + }, + { + "Input": "60 boys can complete a work in 24 days . how many men need to complete twice the work in 20 days", + "Output Program": [ + "n0 = 60.0\nn1 = 24.0\nn2 = 20.0\nt0 = n1 * 2.0\nt1 = n0 * t0\nanswer = t1 / n2\nprint(answer)" + ], + "Output Answer": [ + "144" + ], + "split": "test" + }, + { + "Input": "24 machines can do a work in 10 days . how many machines are needed to complete the work in 40 days ?", + "Output Program": [ + "n0 = 24.0\nn1 = 10.0\nn2 = 40.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "how many seconds will a 200 m long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 200.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "11.999040076793857" + ], + "split": "test" + }, + { + "Input": "a constructor estimates that 8 people can paint mr khans house in 3 days . if he uses 4 people instead of 8 , how long will they take to complete the job ?", + "Output Program": [ + "n0 = 8.0\nn1 = 3.0\nn2 = 4.0\nn3 = 8.0\nt0 = n0 * n1\nt1 = 1.0 / t0\nt2 = n2 * t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "the radius of a semi circle is 70 cm then its perimeter is ?", + "Output Program": [ + "import math\nn0 = 70.0\nt0 = 2 * math.pi * n0\nt1 = n0 * 2.0\nt2 = t0 / 2.0\nanswer = t2 + t1\nprint(answer)" + ], + "Output Answer": [ + "359.9114857512855" + ], + "split": "test" + }, + { + "Input": "a can do a piece of work in 8 days and b alone can do it in 12 days . how much time will both take to finish the work ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.800000000000001" + ], + "split": "test" + }, + { + "Input": "a and b go around a circular track of length 150 m on a cycle at speeds of 36 kmph and 54 kmph . after how much time will they meet for the first time at the starting point ?", + "Output Program": [ + "n0 = 150.0\nn1 = 36.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n1 * 0.2778\nt2 = t0 - t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "29.997600191984645" + ], + "split": "test" + }, + { + "Input": "two trains of length 150 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 150.0\nn1 = 280.0\nn2 = 42.0\nn3 = 30.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "21.498280137588992" + ], + "split": "test" + }, + { + "Input": "source : knewton a cyclist ' s speed varies , depending on the terrain , between 6.0 miles per hour and 14.0 miles per hour , inclusive . what is the maximum distance , in miles , that the cyclist could travel in 5 hours ?", + "Output Program": [ + "n0 = 6.0\nn1 = 14.0\nn2 = 5.0\n\nanswer = n1 * n2\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "test" + }, + { + "Input": "if 20 men take 15 days to to complete a job , in how many days can 25 men finish that work ?", + "Output Program": [ + "n0 = 20.0\nn1 = 15.0\nn2 = 25.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 7 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ?", + "Output Program": [ + "n0 = 60.0\nn1 = 5.0\nn2 = 7.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "35" + ], + "split": "test" + }, + { + "Input": "train a leaves the station traveling at 30 miles per hour . two hours later train \u0432 leaves the same station traveling in the same direction at 35 miles per hour . how many miles from the station was train a overtaken by train b ?", + "Output Program": [ + "n0 = 30.0\nn1 = 35.0\nt0 = n0 * 2.0\nt1 = n1 - n0\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "420" + ], + "split": "test" + }, + { + "Input": "10 men and 15 women together can complete a work in 4 days . it takes 100 days for one man alone to complete the same work . how many days will be required for one woman alone to complete the same work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 4.0\nn3 = 100.0\nt0 = n3 * 1.0\nt1 = n0 * n2\nt2 = n1 * n2\nt3 = t0 - t1\nt4 = t0 / t3\nanswer = t4 * t2\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "test" + }, + { + "Input": "the radius of a wheel is 12.6 cm . what is the distance covered by the wheel in making 200 resolutions ?", + "Output Program": [ + "n0 = 12.6\nn1 = 200.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "158.4" + ], + "split": "test" + }, + { + "Input": "area of four walls of a room is 99 m 2 . the length and breadth of the room are 7.5 m and 3.5 m respectively . the height of the room is :", + "Output Program": [ + "n0 = 99.0\nn1 = 2.0\nn2 = 7.5\nn3 = 3.5\nt0 = n2 * 2.0\nt1 = n3 * 2.0\nt2 = t0 + t1\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "4.5" + ], + "split": "test" + }, + { + "Input": "usc invited each south carolina high school to send up to 39 students to watch a football game . a section which has 199 seats in each row is reserved for those students . what is the least number of rows needed to guarantee that if 2006 students show up , then all students from the same high school can be seated in the same row ?", + "Output Program": [ + "n0 = 39.0\nn1 = 199.0\nn2 = 2006.0\nt0 = n2 / n1\nanswer = t0 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "12.080402010050252" + ], + "split": "test" + }, + { + "Input": "a train passes a man standing on a platform in 8 seconds and also crosses the platform which is 276 metres long in 20 seconds . the length of the train ( in metres ) is :", + "Output Program": [ + "n0 = 8.0\nn1 = 276.0\nn2 = 20.0\nt0 = n2 - n0\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "184" + ], + "split": "test" + }, + { + "Input": "a man cycles round the boundary of a rectangular park at the rate of 12 kmph and completes one full round in 8 minutes . if the ratio between the length and breadth of the park be 3 : 2 , then its area is :", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 3.0\nn3 = 2.0\nt0 = n0 * 1000.0\nt1 = 2.0 * 3.0\nt2 = t1 * 10.0\nt3 = t0 / t2\nt4 = n1 * t3\nt5 = t4 / 10.0\nt6 = n3 * t5\nt7 = n2 * t5\nanswer = t6 * t7\nprint(answer)" + ], + "Output Answer": [ + "153600" + ], + "split": "test" + }, + { + "Input": "a is twice as good a workman as b and they took 9 days together to do the work b alone can do it in .", + "Output Program": [ + "n0 = 9.0\nt0 = 1.0 + 2.0\nt1 = n0 * t0\nt2 = t1 / 2.0\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "test" + }, + { + "Input": "a car traveled from san diego to san francisco at an average speed of 66 miles per hour . if the journey back took twice as long , what was the average speed of the trip ?", + "Output Program": [ + "n0 = 66.0\nt0 = 1 / n0\nt1 = t0 / 2.0\nt2 = t1 + t0\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "test" + }, + { + "Input": "some persons can do a piece of work in 32 days . two times the number of these people will do half of that work in ?", + "Output Program": [ + "n0 = 32.0\nt0 = 1.0 / 2.0\nt1 = n0 * t0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "10 : 4 seconds : : ? : 6 minutes", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nn2 = 6.0\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "test" + }, + { + "Input": "a train passes a platform in 36 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is", + "Output Program": [ + "n0 = 36.0\nn1 = 20.0\nn2 = 54.0\nt0 = n2 * 0.2778\nt1 = n0 - n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "240.01919999999998" + ], + "split": "test" + }, + { + "Input": "it takes 10 days for digging a trench of 100 m long , 50 m broad and 10 m deep . what length of trench , 25 m broad and 15 m deep can be dug in 30 days ?", + "Output Program": [ + "n0 = 10.0\nn1 = 100.0\nn2 = 50.0\nn3 = 10.0\nn4 = 25.0\nn5 = 15.0\nn6 = 30.0\nt0 = n2 * n6\nt1 = n0 * n4\nt2 = n0 * t0\nt3 = n5 * t1\nt4 = n1 * t2\nanswer = t4 / t3\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "test" + }, + { + "Input": "if 20 men can build a water fountain 56 metres long in 3 days , what length of a similar water fountain can be built by 35 men in 3 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 56.0\nn2 = 3.0\nn3 = 35.0\nn4 = 3.0\nt0 = n0 * n2\nt1 = n3 * n4\nt2 = n1 / t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "98" + ], + "split": "test" + }, + { + "Input": "a train running at the speed of 110 km / hr crosses a pole in 9 sec . what is the length of the train ?", + "Output Program": [ + "n0 = 110.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "275" + ], + "split": "test" + }, + { + "Input": "pipe a fills a tank of capacity 700 liters at the rate of 40 liters a minute . another pipe b fills the same tank at the rate of 30 liters a minute . a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute . if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated , when will the tank be full ?", + "Output Program": [ + "n0 = 700.0\nn1 = 40.0\nn2 = 30.0\nn3 = 20.0\nt0 = n1 + n2\nt1 = t0 - n3\nt2 = n0 / t1\nanswer = t2 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "42" + ], + "split": "test" + }, + { + "Input": "a and b can finish a work together in 12 days , and b and c together in 16 days . if a alone works for 5 days and then b alone continues for 7 days , then remaining work is done by c in 13 days . in how many days can c alone finish the complete work ?", + "Output Program": [ + "n0 = 12.0\nn1 = 16.0\nn2 = 5.0\nn3 = 7.0\nn4 = 13.0\nt0 = n2 + n4\nt1 = n2 / n0\nt2 = 2.0 / n1\nt3 = t1 + t2\nt4 = t0 - n3\nt5 = 1.0 - t3\nt6 = t5 / t4\nanswer = 1.0 / t6\nprint(answer)" + ], + "Output Answer": [ + "24.000000000000007" + ], + "split": "test" + }, + { + "Input": "a metallic sphere of radius 12 cm is melted and drawn into a wire , whose radius of cross section is 24 cm . what is the length of the wire ?", + "Output Program": [ + "n0 = 12.0\nn1 = 24.0\nt0 = n0**min(3.0, 5)\nt1 = n1**min(2.0, 5)\nt2 = t0 / t1\nt3 = t2 * 4.0\nanswer = t3 / 3.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "a man walking at the rate of 5 km / hr crosses a bridge in 15 minutes . the length of the bridge ( in meters ) is :", + "Output Program": [ + "n0 = 5.0\nn1 = 15.0\nt0 = n0 * 1000.0\nt1 = t0 / 60.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "1250" + ], + "split": "test" + }, + { + "Input": "8 men can do a piece of work in 12 days . 4 women can do it in 48 days and 10 children can do it in 24 days . in how many days can 6 men , 4 women and 10 children together complete the piece of work ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 4.0\nn3 = 48.0\nn4 = 10.0\nn5 = 24.0\nn6 = 6.0\nn7 = 4.0\nn8 = 10.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = n4 * n5\nt3 = 1 / t0\nt4 = 1 / t1\nt5 = 1 / t2\nt6 = n6 * t3\nt7 = n2 * t4\nt8 = n4 * t5\nt9 = t6 + t7\nt10 = t9 + t8\nanswer = 1 / t10\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "the two trains of lengths 400 m , 600 m respectively , running at same directions . the faster train can cross the slower train in 180 sec , the speed of the slower train is 48 km . then find the speed of the faster train ?", + "Output Program": [ + "n0 = 400.0\nn1 = 600.0\nn2 = 180.0\nn3 = 48.0\nt0 = n0 + n1\nt1 = t0 / n2\nt2 = t1 * 3.6\nanswer = n3 + t2\nprint(answer)" + ], + "Output Answer": [ + "68" + ], + "split": "test" + }, + { + "Input": "a light flashes every 5 seconds , how many times will it flash in ? of an hour ?", + "Output Program": [ + "n0 = 5.0\n\nanswer = 3600.0 / n0\nprint(answer)" + ], + "Output Answer": [ + "720" + ], + "split": "test" + }, + { + "Input": "a train 300 m long , running with a speed of 54 km / hr will pass a tree in ?", + "Output Program": [ + "n0 = 300.0\nn1 = 54.0\nt0 = n1 * 1000.0\nt1 = n0 / t0\nanswer = t1 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "15 beavers , working together in a constant pace , can build a dam in 4 hours . how many hours will it take 20 beavers that work at the same pace , to build the same dam ?", + "Output Program": [ + "n0 = 15.0\nn1 = 4.0\nn2 = 20.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "test" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 14 cm", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 14.0\nt0 = n0 + n1\nt1 = n2 * t0\nanswer = t1 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "266" + ], + "split": "test" + }, + { + "Input": "a lady starts from p towards q and realizes that at a point r , if he walks 50 km further he will be at a point s , which is as far away from r as it is from q . what is the distance between p and q if the distance between p and r is half the distance from r to q ? ( assume that p , q , r and s are all on the same straight line )", + "Output Program": [ + "n0 = 50.0\nt0 = n0 * 2.0\nt1 = t0 / 2.0\nanswer = t1 + t0\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "test" + }, + { + "Input": "a train speeds past a pole in 10 seconds and a platform 50 m long in 20 seconds . its length is :", + "Output Program": [ + "n0 = 10.0\nn1 = 50.0\nn2 = 20.0\nt0 = 2.0 - 1.0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "test" + }, + { + "Input": "a clock shows the time as 9 a . m . if the minute hand gains 6 minutes every hour , how many minutes will the clock gain by 6 p . m . ?", + "Output Program": [ + "n0 = 9.0\nn1 = 6.0\nn2 = 6.0\nt0 = 3.0 + n2\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "54" + ], + "split": "test" + }, + { + "Input": "if the perimeter of a rectangular house is 1400 m , its length when its breadth is 300 m is ?", + "Output Program": [ + "n0 = 1400.0\nn1 = 300.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "400" + ], + "split": "test" + }, + { + "Input": "two trains are running in opposite directions in the same speed . the length of each train is 120 meter . if they cross each other in 12 seconds , the speed of each train ( in km / hr ) is", + "Output Program": [ + "n0 = 120.0\nn1 = 12.0\nt0 = n0 + n0\nt1 = t0 / n1\nt2 = t1 / 2.0\nanswer = t2 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "test" + }, + { + "Input": "you have to send 3000 grapes 1000 kilometers from grapecity to appleland . your truck can carry 1000 grapes at a time . every time you travel a kilometer towards appleland you must pay a tax of 1 grape but you pay nothing when going in the other direction ( towards grapecity ) . what is highest number of grapes you can get to appleland ?", + "Output Program": [ + "import math\nn0 = 3000.0\nn1 = 1000.0\nn2 = 1000.0\nn3 = 1.0\nt0 = n1 / 3.0\nt1 = n1 / 2.0\nt2 = math.floor(t0)\nt3 = n1 - t2\nt4 = t3 - t1\nanswer = n1 - t4\nprint(answer)" + ], + "Output Answer": [ + "833" + ], + "split": "test" + }, + { + "Input": "a boat takes 19 hours for travelling downstream from point a to point b and coming back to a point c which is at midway between a and b . if the velocity of the stream is 4 kmph and the speed of the boat in still water is 14 kmph , what is the distance between a and b ?", + "Output Program": [ + "n0 = 19.0\nn1 = 4.0\nn2 = 14.0\nt0 = n1 + n2\nt1 = n2 - n1\nt2 = 1.0 / t0\nt3 = t1 * 2.0\nt4 = 1.0 / t3\nt5 = t2 + t4\nanswer = n0 / t5\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "test" + }, + { + "Input": "a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 390 m long platform ?", + "Output Program": [ + "n0 = 36.0\nn1 = 12.0\nn2 = 390.0\nt0 = n0 * 0.2778\nt1 = n1 * t0\nt2 = n2 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "50.99688024958003" + ], + "split": "test" + }, + { + "Input": "if 8 men or 12 women can do a piece of work in 35 days , in how many days can the same work be done by 6 men and 11 women ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 35.0\nn3 = 6.0\nn4 = 11.0\nt0 = n0 * n2\nt1 = n1 * n2\nt2 = n3 / t0\nt3 = n4 / t1\nt4 = t2 + t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "test" + }, + { + "Input": "convert 0.30 in to a vulgar fraction ?", + "Output Program": [ + "n0 = 0.3\nt0 = 2.0 + 3.0\nt1 = t0 * 2.0\nt2 = t1 * t1\nt3 = n0 * t2\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.3" + ], + "split": "test" + }, + { + "Input": "a man swims downstream 30 km and upstream 12 km taking 3 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 30.0\nn1 = 12.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "test" + }, + { + "Input": "at 6 \u2032 o a clock ticks 6 times . the time between first and last ticks is 20 seconds . how long does it tick at 12 \u2032 o clock", + "Output Program": [ + "n0 = 6.0\nn1 = 6.0\nn2 = 20.0\nn3 = 12.0\nt0 = n0 - 1.0\nt1 = n3 - 1.0\nt2 = n2 / t0\nanswer = t2 * t1\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "test" + }, + { + "Input": "55 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be :", + "Output Program": [ + "n0 = 55.0\nn1 = 1.0\nt0 = n1 / 2.0\nt1 = t0**min(2.0, 5)\nt2 = t1 * 3.141592653589793\nanswer = n0 / t2\nprint(answer)" + ], + "Output Answer": [ + "70.02817496043394" + ], + "split": "test" + }, + { + "Input": "3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 10 pumps work to empty the tank in 1 day ?", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 2.0\nn3 = 10.0\nn4 = 1.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / n3\nprint(answer)" + ], + "Output Answer": [ + "4.8" + ], + "split": "test" + }, + { + "Input": "tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 12 meters , and the interior of tank b has a height of 12 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?", + "Output Program": [ + "n0 = 10.0\nn1 = 12.0\nn2 = 12.0\nn3 = 10.0\nt0 = n0 / n2\nt1 = n1 / n3\nt2 = t1**min(2.0, 5)\nt3 = t0 * t2\nanswer = t3 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "test" + }, + { + "Input": "someone on a skateboard is traveling 8 miles per hour . how many feet does she travel in 5 seconds ? ( 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 8.0\nn1 = 5.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 * n3\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "58.666666666666664" + ], + "split": "test" + }, + { + "Input": "a car traveling at a certain constant speed takes 30 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 30 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?", + "Output Program": [ + "n0 = 30.0\nn1 = 1.0\nn2 = 1.0\nn3 = 30.0\nt0 = n1 / n3\nt1 = t0 * 3600.0\nt2 = n0 + t1\nt3 = t2 / 3600.0\nanswer = n1 / t3\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "test" + }, + { + "Input": "recently , i decided to walk down an escalator of a tube station . i did some quick calculation in my mind . i found that if i walk down 20 ` ` 6 steps , i require thirty seconds to reach the bottom . however , if i am able to step down thirty ` ` 4 stairs , i would only require eighteen seconds to get to the bottom . if the time is measured from the moment the top step begins to descend to the time i step off the last step at the bottom ?", + "Output Program": [ + "n0 = 20.0\nn1 = 6.0\nn2 = 4.0\nt0 = n0 + n1\nt1 = 10.0 * 3.0\nt2 = n1 * 3.0\nt3 = n2 + t1\nt4 = t1 - t2\nt5 = t3 - t0\nt6 = t5 / t4\nt7 = t6 * t2\nanswer = t3 + t7\nprint(answer)" + ], + "Output Answer": [ + "46" + ], + "split": "test" + }, + { + "Input": "at a loading dock , each worker on the night crew loaded 2 / 3 as many boxes as each worker on the day crew . if the night crew has 5 / 6 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ?", + "Output Program": [ + "n0 = 2.0\nn1 = 3.0\nn2 = 5.0\nn3 = 6.0\nt0 = n1 * n3\nt1 = n0 * n2\nt2 = t0 + t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "0.6428571428571429" + ], + "split": "test" + }, + { + "Input": "if a train , travelling at a speed of 90 kmph , crosses a pole in 6 sec , then the length of train is ?", + "Output Program": [ + "n0 = 90.0\nn1 = 6.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "150.012" + ], + "split": "test" + }, + { + "Input": "together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many hours e would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ?", + "Output Program": [ + "n0 = 15.0\nn1 = 7.0\nn2 = 4.0\nn3 = 8.0\nn4 = 15.0\nn5 = 11.0\nt0 = 1.0 / n2\nt1 = 1.0 / n5\nt2 = t0 + t1\nt3 = t2 / n0\nanswer = 1.0 / t3\nprint(answer)" + ], + "Output Answer": [ + "44" + ], + "split": "test" + }, + { + "Input": "ajay can walk 4 km in 1 hour . in how many hours he can walk 40 km ?", + "Output Program": [ + "n0 = 4.0\nn1 = 1.0\nn2 = 40.0\n\nanswer = n2 / n0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "test" + }, + { + "Input": "dan can do a job alone in 15 hours . annie , working alone , can do the same job in just 10 hours . if dan works alone for 12 hours and then stops , how many hours will it take annie , working alone , to complete the job ?", + "Output Program": [ + "n0 = 15.0\nn1 = 10.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = 1.0 - t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "1.9999999999999996" + ], + "split": "test" + }, + { + "Input": "a train running at the speed of 162 km / hr crosses a pole in 9 seconds . find the length of the train .", + "Output Program": [ + "n0 = 162.0\nn1 = 9.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "405" + ], + "split": "test" + }, + { + "Input": "a leak in the bottom of a tank can empty the full tank in 6 hours . an inlet pipe fills water at the rate of 5 liters per minute . when the tank is full in inlet is opened and due to the leak the tank is empties in 8 hours . the capacity of the tank is ?", + "Output Program": [ + "n0 = 6.0\nn1 = 5.0\nn2 = 8.0\nt0 = n2 * 60.0\nt1 = n0 * 60.0\nt2 = t0 / t1\nt3 = n1 * t0\nt4 = t2 - 1.0\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "7200.000000000002" + ], + "split": "test" + }, + { + "Input": "a man can row 9 kmph in still water . when the river is running at 3.1 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?", + "Output Program": [ + "n0 = 9.0\nn1 = 3.1\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "7.932222222222222" + ], + "split": "test" + }, + { + "Input": "a man cycling along the road noticed that every 15 minutes a bus overtakes him and every 5 minutes he meets an oncoming bus . if all buses and the cyclist move at a constant speed , what is the time interval between consecutive buses ?", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 / t1\nt3 = n0 / t2\nt4 = n0 - t3\nanswer = t4 / 1.0\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "test" + }, + { + "Input": "a man walking at 3 / 4 th of the speed , reaches his office late by 2 hours . what is the usual time ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 2.0\nt0 = n0 / n1\nt1 = n2 * t0\nt2 = t0 * t1\nt3 = n2 * t2\nt4 = t1 - t2\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "a , b , c , d and e are 5 consecutive points on a straight line . if bc = 2 cd , de = 7 , ab = 5 and ac = 11 , what is the length of ae ?", + "Output Program": [ + "n0 = 5.0\nn1 = 2.0\nn2 = 7.0\nn3 = 5.0\nn4 = 11.0\nt0 = n4 - n0\nt1 = t0 / n1\nt2 = n4 + t1\nanswer = n2 + t2\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "test" + }, + { + "Input": "how long does a train 60 m long travelling at 60 kmph takes to cross a bridge of 80 m in length ?", + "Output Program": [ + "n0 = 60.0\nn1 = 60.0\nn2 = 80.0\nt0 = n0 + n2\nt1 = n1 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "8.3993280537557" + ], + "split": "test" + }, + { + "Input": "how many bricks , each measuring 25 cm * 11.25 cm * 6 cm , will be needed to build a wall 8 m * 6 m * 22.5 m", + "Output Program": [ + "n0 = 25.0\nn1 = 11.25\nn2 = 6.0\nn3 = 8.0\nn4 = 6.0\nn5 = 22.5\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n0 * n1\nt3 = t0 * t1\nt4 = n2 * t2\nt5 = n5 * t3\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "6400" + ], + "split": "test" + }, + { + "Input": "a trader sells 80 meters of cloth for rs . 9000 at the profit of rs . 23.5 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 80.0\nn1 = 9000.0\nn2 = 23.5\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "89" + ], + "split": "test" + }, + { + "Input": "a rower can row 5 km / h in still water . when the river is running at 2 km / h , it takes the rower 1 hour to row to big rock and back . how many kilometers is it to big rock ?", + "Output Program": [ + "n0 = 5.0\nn1 = 2.0\nn2 = 1.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t1 / t2\nanswer = t0 * t3\nprint(answer)" + ], + "Output Answer": [ + "2.1" + ], + "split": "test" + }, + { + "Input": "a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 24 m * 2 m * 0.75 m ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 7.5\nn3 = 24.0\nn4 = 2.0\nn5 = 0.75\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n5 * 100.0\nt3 = t0 * t1\nt4 = t3 * t2\nt5 = t4 / n0\nt6 = t5 / n1\nanswer = t6 / n2\nprint(answer)" + ], + "Output Answer": [ + "24000" + ], + "split": "test" + }, + { + "Input": "joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 4 of all the paint . during the second week , he uses 1 / 4 of the remaining paint . how many gallons of paint has joe used ?", + "Output Program": [ + "n0 = 360.0\nn1 = 1.0\nn2 = 4.0\nn3 = 1.0\nn4 = 4.0\nt0 = n0 / n2\nt1 = n1 * t0\nt2 = n0 - t1\nt3 = t2 / n4\nanswer = t3 + t1\nprint(answer)" + ], + "Output Answer": [ + "157.5" + ], + "split": "test" + }, + { + "Input": "two trains are moving in opposite directions with speed of 70 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds", + "Output Program": [ + "n0 = 70.0\nn1 = 90.0\nn2 = 1.1\nn3 = 0.9\nt0 = n2 + n3\nt1 = n0 + n1\nt2 = t0 / t1\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "test" + }, + { + "Input": "a contractor undertakes to built a walls in 50 days . he employs 30 peoples for the same . however after 25 days he finds that only 40 % of the work is complete . how many more man need to be employed to complete the work in time ?", + "Output Program": [ + "n0 = 50.0\nn1 = 30.0\nn2 = 25.0\nn3 = 40.0\nt0 = 4.0 / 10.0\nt1 = 100.0 - n3\nt2 = t1 / 100.0\nt3 = n1 * t2\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "test" + }, + { + "Input": "express 30 mps in kmph ?", + "Output Program": [ + "n0 = 30.0\nt0 = n0 / 1000.0\nanswer = t0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "108" + ], + "split": "test" + }, + { + "Input": "tim came second in math . when his mother asked him how much he had scored , he answered that he got the sum of the first 9 even numbers . his mother immediately worked out the answer . how much had he scored in math ?", + "Output Program": [ + "n0 = 9.0\nt0 = n0 + 1.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "test" + }, + { + "Input": "if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 10 minutes ?", + "Output Program": [ + "n0 = 15.0\nn1 = 10.0\nt0 = 60.0 / n0\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "test" + }, + { + "Input": "a piece of work can finish by a certain number of men in 100 days . if however , there were 10 men less , it would take 10 days more for the work to be finished . how many men were there originally ?", + "Output Program": [ + "n0 = 100.0\nn1 = 10.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = t0 / n1\nt2 = n1 * t1\nt3 = t1 - n1\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "110" + ], + "split": "test" + }, + { + "Input": "how many seconds will a train 150 meters long take to cross a bridge 200 meters long if the speed of the train is 54 kmph ?", + "Output Program": [ + "n0 = 150.0\nn1 = 200.0\nn2 = 54.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "23.331466815988055" + ], + "split": "test" + }, + { + "Input": "liz drove from point a to point b at 40 km / h . on her way back she drove at 50 km / h and therefore her way back lasted one hour less . what is the distance ( in km ) between a and b ?", + "Output Program": [ + "n0 = 40.0\nn1 = 50.0\nt0 = n1 - n0\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "test" + }, + { + "Input": "the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland , which is 480 miles away . the pilot recognizes that the current engine , which can fly only 8 miles per gallon , will not get him there . by how many miles per gallon must the aircraft \u2019 s fuel efficiency be improved to make the flight to cleveland possible ?", + "Output Program": [ + "n0 = 40.0\nn1 = 480.0\nn2 = 8.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "in a 160 meters race a beats b by 56 m or 7 seconds . a ' s time over the course is :", + "Output Program": [ + "n0 = 160.0\nn1 = 56.0\nn2 = 7.0\nt0 = n2 / n1\nt1 = n0 * t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "test" + }, + { + "Input": "a cistern of capacity 8000 litres measures externally 3.3 m by 2.6 m by 1.4 m and its walls are 5 cm thick . the thickness of the bottom is :", + "Output Program": [ + "n0 = 8000.0\nn1 = 3.3\nn2 = 2.6\nn3 = 1.4\nn4 = 5.0\nt0 = n0 / 1000.0\nt1 = n1 * n2\nt2 = n3 * t1\nanswer = t2 - t0\nprint(answer)" + ], + "Output Answer": [ + "4.011999999999999" + ], + "split": "test" + }, + { + "Input": "a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 16 days . in how many days b alone can do the work ?", + "Output Program": [ + "n0 = 15.0\nn1 = 5.0\nn2 = 16.0\nt0 = 1 / n2\nt1 = 1 / n0\nt2 = n1 * t1\nt3 = 1.0 - t2\nt4 = t0 * t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "23.999999999999996" + ], + "split": "test" + }, + { + "Input": "a train is 360 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length .", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 140.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "test" + }, + { + "Input": "the cyclist going at a constant rate of 18 miles per hour is passed by a motor - cyclist traveling in the same direction along the same path at 48 miles per hour . the motor - cyclist stops to wait for the cyclist 15 minutes after passing cyclist , while the cyclist continues to travel at constant rate , how many minutes must the motor - cyclist wait until the cyclist catches up ?", + "Output Program": [ + "n0 = 18.0\nn1 = 48.0\nn2 = 15.0\nt0 = n1 / 4.0\nt1 = n0 / 4.0\nt2 = t0 - t1\nt3 = t2 * 60.0\nanswer = t3 / n0\nprint(answer)" + ], + "Output Answer": [ + "25" + ], + "split": "test" + }, + { + "Input": "a person crosses a 500 m long street in 4 minutes . what is his speed in km per hour ?", + "Output Program": [ + "n0 = 500.0\nn1 = 4.0\nt0 = n0 / 1000.0\nt1 = n1 * 60.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.5" + ], + "split": "test" + }, + { + "Input": "if the perimeter of a rectangular garden is 600 m , its length when its breadth is 100 m is ?", + "Output Program": [ + "n0 = 600.0\nn1 = 100.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "200" + ], + "split": "test" + }, + { + "Input": "ram and shyam start a two - length swimming race at the same moment but from opposite ends of the pool . they swim in lanes at uniform speeds , but hardy is faster than andy . they 1 st pass at a point 18.5 m from the deep end and having completed one length each 1 is allowed to rest on the edge for exactly 45 sec . after setting off on the return length , the swimmers pass for the 2 nd time just 10.5 m from the shallow end . how long is the pool ?", + "Output Program": [ + "n0 = 1.0\nn1 = 18.5\nn2 = 1.0\nn3 = 45.0\nn4 = 2.0\nn5 = 10.5\nt0 = n1 * 2.0\nt1 = n1 + t0\nanswer = t1 - n5\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "test" + }, + { + "Input": "in covering a distance of 48 km , abhay takes 2 hours more than sameer . if abhay doubles his speed , then he would take 1 hour less than sameer . abhay ' s speed is :", + "Output Program": [ + "n0 = 48.0\nn1 = 2.0\nn2 = 1.0\nt0 = n1 + n2\nt1 = n0 / n1\nt2 = n0 - t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "the speed of a bus increases by 2 kmph after every one hour . if the distance travelled in the first one hour was 35 km , what was the total distance travelled in 12 hours ?", + "Output Program": [ + "n0 = 2.0\nn1 = 35.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = n0 * n1\nt2 = n2 - 1.0\nt3 = n0 * t2\nt4 = t3 + t1\nanswer = t4 * t0\nprint(answer)" + ], + "Output Answer": [ + "552" + ], + "split": "test" + }, + { + "Input": "it will take 16 days for mary to complete a certain task alone . she worked for 8 days before she was joined by her sister . both of them completed the remaining task in 2 and half days . if her sister had joined her when she started the task , how many days would it have taken ?", + "Output Program": [ + "n0 = 16.0\nn1 = 8.0\nn2 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 / t1\nanswer = t2 + 3.0\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "test" + }, + { + "Input": "a man traveled a total distance of 1200 km . he traveled one - third of the whole trip by plane and the distance traveled by train is two - thirds of the distance traveled by bus . if he traveled by train , plane and bus , how many kilometers did he travel by bus ?", + "Output Program": [ + "n0 = 1200.0\nt0 = 2.0 + 3.0\nt1 = n0 * 2.0\nt2 = t1 / 3.0\nt3 = t2 * 3.0\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "480" + ], + "split": "test" + }, + { + "Input": "a and b together do a work in 20 days . b and c together in 15 days and c and a in 12 days . so a , b and c together finish same work in how many days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 15.0\nn2 = 12.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nt5 = t4 / 2.0\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "test" + }, + { + "Input": "if a train , travelling at a speed of 180 kmph , crosses a pole in 6 sec , then the length of train is ?", + "Output Program": [ + "n0 = 180.0\nn1 = 6.0\nt0 = n0 * 0.2778\nanswer = n1 * t0\nprint(answer)" + ], + "Output Answer": [ + "300.024" + ], + "split": "test" + }, + { + "Input": "a can do a piece of work 60 days . b can do work in 90 days . in how many days they will complete the work together ?", + "Output Program": [ + "n0 = 60.0\nn1 = 90.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "test" + }, + { + "Input": "gary drove from point a to point b at 60 km / h . on his way back he took a train travelling at 110 km / h and therefore his trip back lasted 5 hours less . what is the distance ( in km ) between a and b ?", + "Output Program": [ + "n0 = 60.0\nn1 = 110.0\nn2 = 5.0\nt0 = n1 * n2\nt1 = n1 - n0\nt2 = t0 / t1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "660" + ], + "split": "test" + }, + { + "Input": "a can run 192 metre in 28 seconds and b in 32 seconds . by what distance a beat b ?", + "Output Program": [ + "n0 = 192.0\nn1 = 28.0\nn2 = 32.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "test" + }, + { + "Input": "if a boat is rowed downstream for 24 km in 4 hours and upstream for 48 km in 24 hours , what is the speed of the boat and the river ?", + "Output Program": [ + "n0 = 24.0\nn1 = 4.0\nn2 = 48.0\nn3 = 24.0\nt0 = n2 / n3\nt1 = n0 / n1\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "a train running at the speed of 60 km / hr crosses a pole in 6 seconds . find the length of the train .", + "Output Program": [ + "n0 = 60.0\nn1 = 6.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "test" + }, + { + "Input": "a is 30 % more efficient than b . how much time they will working together take to complete a job which a alone could have done in 23 days ?", + "Output Program": [ + "n0 = 30.0\nn1 = 23.0\nt0 = 1.0 / n1\nt1 = n0 / 100.0\nt2 = t1 + 1.0\nt3 = n1 * t2\nt4 = 1.0 / t3\nt5 = t0 + t4\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "13" + ], + "split": "test" + }, + { + "Input": "find the cost of fencing around a circular field of diameter 12 m at the rate of rs . 3.50 a meter ?", + "Output Program": [ + "import math\nn0 = 12.0\nn1 = 3.5\nt0 = n0 / 2.0\nt1 = 2 * math.pi * t0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "131.94689145077132" + ], + "split": "test" + }, + { + "Input": "there are 32 stations between ernakulam and chennai . how many second class tickets have to be printed , so that a passenger can travel from one station to any other station ?", + "Output Program": [ + "n0 = 32.0\nt0 = n0 + 2.0\nt1 = t0 - 1.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "1122" + ], + "split": "test" + }, + { + "Input": "a , b , c , d and e are 5 consecutive points on a straight line . if bc = 2 cd , de = 5 , ab = 5 and ac = 11 , what is the length of ae ?", + "Output Program": [ + "n0 = 5.0\nn1 = 2.0\nn2 = 5.0\nn3 = 5.0\nn4 = 11.0\nt0 = n4 - n0\nt1 = t0 / n1\nt2 = n4 + t1\nanswer = n2 + t2\nprint(answer)" + ], + "Output Answer": [ + "19" + ], + "split": "test" + }, + { + "Input": "a can run 288 metre in 28 seconds and b in 32 seconds . by what distance a beat b ?", + "Output Program": [ + "n0 = 288.0\nn1 = 28.0\nn2 = 32.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "test" + }, + { + "Input": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a girl sitting at window seat in the slower train in 32 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 36.0\nn2 = 32.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "320" + ], + "split": "test" + }, + { + "Input": "arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 20 days .", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nn2 = 20.0\nt0 = n2 / n0\nt1 = n1 * t0\nanswer = n2 - t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "a taxi leaves point a 2 hours after a bus left the same spot . the bus is traveling 20 mph slower than the taxi . find the speed of the taxi , if it overtakes the bus in two hours .", + "Output Program": [ + "n0 = 2.0\nn1 = 20.0\nt0 = n0 + n0\nt1 = n0 * n1\nt2 = t1 + t1\nt3 = t0 - n0\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "test" + }, + { + "Input": "two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s . if the circumference of the circle is 360 meters , after what time will they meet at the starting point ?", + "Output Program": [ + "n0 = 7.0\nn1 = 8.0\nn2 = 360.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "test" + }, + { + "Input": "a van takes 6 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?", + "Output Program": [ + "n0 = 6.0\nn1 = 540.0\nn2 = 3.0\nn3 = 2.0\nt0 = n2 / n3\nt1 = n0 * t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "test" + }, + { + "Input": "if an object travels 90 feet in 2 seconds , what is the object \u2019 s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )", + "Output Program": [ + "n0 = 90.0\nn1 = 2.0\nn2 = 1.0\nn3 = 5280.0\nt0 = n0 / n3\nt1 = n2 / 3600.0\nt2 = n1 * t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "30.68181818181818" + ], + "split": "test" + }, + { + "Input": "working at their respective constant rates , machine a makes 100 copies in 15 minutes and machine b makes 150 copies in 10 minutes . if these machines work simultaneously at their respective rates for 30 minutes , what is the total number of copies that they will produce ?", + "Output Program": [ + "n0 = 100.0\nn1 = 15.0\nn2 = 150.0\nn3 = 10.0\nn4 = 30.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 + t1\nanswer = n4 * t2\nprint(answer)" + ], + "Output Answer": [ + "650" + ], + "split": "test" + }, + { + "Input": "a group of men decided to do a work in 20 days , but 8 of them became absent . if the rest of the group did the work in 28 days , find the original number of men ?", + "Output Program": [ + "n0 = 20.0\nn1 = 8.0\nn2 = 28.0\nt0 = n1 * n2\nt1 = n2 - n0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "28" + ], + "split": "test" + }, + { + "Input": "the food in a camp lasts for 40 men for 20 days . if 10 more men join , how many days will the food last ?", + "Output Program": [ + "n0 = 40.0\nn1 = 20.0\nn2 = 10.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "test" + }, + { + "Input": "in order to fence a square manish fixed 48 poles . if the distance between two poles , is 2 metres then what will be the area of the square so formed ?", + "Output Program": [ + "n0 = 48.0\nn1 = 2.0\nt0 = n0 / n1\nanswer = t0**2\nprint(answer)" + ], + "Output Answer": [ + "576" + ], + "split": "test" + }, + { + "Input": "two trains are moving in opposite directions with speed of 60 km / hr and 90 km / hr respectively . their lengths are 1.10 km and 0.9 km respectively . the slower train cross the faster train in - - - seconds", + "Output Program": [ + "n0 = 60.0\nn1 = 90.0\nn2 = 1.1\nn3 = 0.9\nt0 = n2 + n3\nt1 = n0 + n1\nt2 = t0 / t1\nanswer = t2 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "test" + }, + { + "Input": "if shreehari walks in the speed of 4.5 km / hr from his house , in what time will he reach his school which is 750 m long from his house ?", + "Output Program": [ + "n0 = 4.5\nn1 = 750.0\nt0 = n1 / 1000.0\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "test" + }, + { + "Input": "a horse chases a pony 8 hours after the pony runs . horse takes 12 hours to reach the pony . if the average speed of the horse is 320 kmph , what s the average speed of the pony ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nn2 = 320.0\nt0 = n0 + n1\nt1 = n1 * n2\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "192" + ], + "split": "test" + }, + { + "Input": "in traveling from a dormitory to a certain city , a student went 1 / 3 of the way by foot , 1 / 4 of the way by bus , and the remaining 5 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?", + "Output Program": [ + "n0 = 1.0\nn1 = 3.0\nn2 = 1.0\nn3 = 4.0\nn4 = 5.0\nt0 = n0 / n1\nt1 = n2 / n3\nt2 = t0 + t1\nt3 = n0 - t2\nt4 = 1 / t3\nanswer = n4 * t4\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999996" + ], + "split": "test" + }, + { + "Input": "tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 10 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ?", + "Output Program": [ + "n0 = 1.0\nn1 = 10.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "5.5" + ], + "split": "test" + }, + { + "Input": "bhaman travelled for 15 hours . he covered the first half of the distance at 40 kmph and remaining half of the distance at 10 kmph . find the distance travelled by bhaman ?", + "Output Program": [ + "n0 = 15.0\nn1 = 40.0\nn2 = 10.0\nt0 = n1 * 2.0\nt1 = n2 * 2.0\nt2 = t0 / 10.0\nt3 = t1 / 10.0\nt4 = t2 + t3\nt5 = t2 * t3\nt6 = n0 / t4\nt7 = t5 * 10.0\nanswer = t6 * t7\nprint(answer)" + ], + "Output Answer": [ + "240" + ], + "split": "test" + }, + { + "Input": "three pipes of same capacity can fill a tank in 8 hours . if there are only two pipes of same capacity , the tank can be filled in .", + "Output Program": [ + "n0 = 8.0\nt0 = 2.0 / 3.0\nt1 = 1.0 / n0\nt2 = t0 * t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "calculate the number of bricks , each measuring 25 cm x 15 cm x 8 cm required to construct a wall of dimensions 10 m x 4 cm x 6 m when 10 % of its volume is occupied by mortar ?", + "Output Program": [ + "n0 = 25.0\nn1 = 15.0\nn2 = 8.0\nn3 = 10.0\nn4 = 4.0\nn5 = 6.0\nn6 = 10.0\nt0 = n4 / 100.0\nt1 = n3 / 100.0\nt2 = n2 / 100.0\nt3 = n0 / 100.0\nt4 = n1 / 100.0\nt5 = n3 * t0\nt6 = t3 * t4\nt7 = 1.0 - t1\nt8 = n5 * t5\nt9 = t2 * t6\nt10 = t8 * t7\nanswer = t10 / t9\nprint(answer)" + ], + "Output Answer": [ + "720.0000000000002" + ], + "split": "test" + }, + { + "Input": "the lcm and hcf of two numbers are 8 and 48 respectively . if one of them is 24 , find the other ?", + "Output Program": [ + "n0 = 8.0\nn1 = 48.0\nn2 = 24.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "test" + }, + { + "Input": "in what time will a train 180 m long cross an electric pole , it its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 180.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.499640028797696" + ], + "split": "test" + }, + { + "Input": "darcy lives 1.5 miles from work . she can walk to work at a constant rate of 3 miles per hour , or she can ride the train to work at a constant rate of 20 miles per hour . if she rides the train , there is an additional x minutes spent walking to the nearest train station , waiting for the train , and walking from the final train station to her work . if it takes darcy a total of 5 more minutes to commute to work by walking than it takes her to commute to work by riding the train , what is the value of x ?", + "Output Program": [ + "n0 = 1.5\nn1 = 3.0\nn2 = 20.0\nn3 = 5.0\nt0 = 60.0 / 2.0\nt1 = n2 / n0\nt2 = 60.0 / t1\nt3 = t0 - n3\nanswer = t3 - t2\nprint(answer)" + ], + "Output Answer": [ + "20.5" + ], + "split": "test" + }, + { + "Input": "12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 10 hours a day , the number of men required ?", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 10.0\nn3 = 8.0\nn4 = 10.0\nt0 = n0 * n2\nt1 = n3 * n4\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "jamshid can paint a fence in 50 percent less time than taimour can when each works alone . when they work together , they can paint the fence in 4 hours . how long would it take taimour to paint the fence alone ?", + "Output Program": [ + "n0 = 50.0\nn1 = 4.0\n\nanswer = n1 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 45 kmph , find the speed of the stream ?", + "Output Program": [ + "n0 = 45.0\nt0 = n0 * 2.0\nt1 = t0 / 3.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "test" + }, + { + "Input": "a and b start walking towards each other at 4 pm at speed of 2 kmph and 3 kmph . they were initially 15 km apart . at what time do they meet ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 3.0\nn3 = 15.0\nt0 = n1 + n2\nt1 = n3 / t0\nanswer = n0 + t1\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "test" + }, + { + "Input": "if the perimeter of a rectangular garden is 600 m , its length when its breadth is 120 m is ?", + "Output Program": [ + "n0 = 600.0\nn1 = 120.0\nt0 = n0 / 2.0\nanswer = t0 - n1\nprint(answer)" + ], + "Output Answer": [ + "180" + ], + "split": "test" + }, + { + "Input": "in what time will a train 110 m long cross an electric pole , it its speed be 128 km / hr ?", + "Output Program": [ + "n0 = 110.0\nn1 = 128.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.0935025197984163" + ], + "split": "test" + }, + { + "Input": "two trains 160 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?", + "Output Program": [ + "n0 = 160.0\nn1 = 160.0\nn2 = 60.0\nn3 = 40.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "11.519078473722104" + ], + "split": "test" + }, + { + "Input": "two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 48 kmph respectively . in how much time will they cross each other , if they are running in the same direction ?", + "Output Program": [ + "n0 = 200.0\nn1 = 150.0\nn2 = 40.0\nn3 = 48.0\nt0 = n0 + n1\nt1 = n3 - n2\nt2 = t0 / 1000.0\nt3 = t2 / t1\nanswer = t3 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "157.5" + ], + "split": "test" + }, + { + "Input": "if the wheel is 14 cm then the number of revolutions to cover a distance of 2288 cm is ?", + "Output Program": [ + "n0 = 14.0\nn1 = 2288.0\nt0 = 100.0 * 3.0\nt1 = 1.0 * 10.0\nt2 = t0 + t1\nt3 = t2 + 4.0\nt4 = t3 / 100.0\nt5 = t4 * 2.0\nt6 = n0 * t5\nanswer = n1 / t6\nprint(answer)" + ], + "Output Answer": [ + "26.023657870791627" + ], + "split": "test" + }, + { + "Input": "the height of the wall is 6 times its width and length of the wall is 8 times its height . if the volume of the wall be 36000 cu . m . its width is", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 36000.0\nt0 = 1.0 / 3.0\nt1 = n0 * n1\nt2 = n0 * t1\nt3 = n2 / t2\nanswer = t3**min(t0, 5)\nprint(answer)" + ], + "Output Answer": [ + "4.999999999999999" + ], + "split": "test" + }, + { + "Input": "miller street begins at baker street and runs directly east for 4.5 kilometers until it ends when it meets turner street . miller street is intersected every 250 meters by a perpendicular street , and each of those streets other than baker street and turner street is given a number beginning at 1 st street ( one block east of baker street ) and continuing consecutively ( 2 nd street , 3 rd street , etc . . . ) until the highest - numbered street one block west of turner street . what is the highest - numbered street that intersects miller street ?", + "Output Program": [ + "n0 = 4.5\nn1 = 250.0\nn2 = 1.0\nn3 = 2.0\nn4 = 3.0\nt0 = n1 / 1000.0\nt1 = n0 / t0\nanswer = t1 - n2\nprint(answer)" + ], + "Output Answer": [ + "17" + ], + "split": "test" + }, + { + "Input": "a can do a piece of work in 90 days & y can do it in 80 days . they began working together but a leaves after some days and then b completed the remaining work in 46 days . the number of days after which a left the work was ?", + "Output Program": [ + "n0 = 90.0\nn1 = 80.0\nn2 = 46.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 + t1\nt3 = n2 * t0\nt4 = 1.0 - t3\nt5 = t4 / t2\nanswer = t5 - 2.0\nprint(answer)" + ], + "Output Answer": [ + "15.999999999999996" + ], + "split": "test" + }, + { + "Input": "amit and ananthu can do a work in 15 days and 60 days respectively . amit started the work and left after 3 days . ananthu took over and completed the work . in how many days was the total work completed ?", + "Output Program": [ + "n0 = 15.0\nn1 = 60.0\nn2 = 3.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 * n2\nt3 = 1.0 - t2\nt4 = t3 / t1\nanswer = t4 + n2\nprint(answer)" + ], + "Output Answer": [ + "51" + ], + "split": "test" + }, + { + "Input": "a car gets 20 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 180 kilometers ?", + "Output Program": [ + "n0 = 20.0\nn1 = 180.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "test" + }, + { + "Input": "there is enough provisions for 600 men in an army camp for 25 days . if there were 300 men less , how long will the provision last ?", + "Output Program": [ + "n0 = 600.0\nn1 = 25.0\nn2 = 300.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "test" + }, + { + "Input": "two cars start from the opposite places of a main road , 140 km apart . first car runs for 25 km and takes a right turn and then runs 15 km . it then turns left and then runs for another 25 km and then takes the direction back to reach the main road . in the mean time , due to minor break down the other car has run only 35 km along the main road . what would be the distance between two cars at this point ?", + "Output Program": [ + "n0 = 140.0\nn1 = 25.0\nn2 = 15.0\nn3 = 25.0\nn4 = 35.0\nt0 = n1 + n1\nt1 = n0 - n4\nanswer = t1 - t0\nprint(answer)" + ], + "Output Answer": [ + "55" + ], + "split": "test" + }, + { + "Input": "a train running at a speed of 60 kmph crosses a pole in 18 seconds . what is the length of the train ?", + "Output Program": [ + "n0 = 60.0\nn1 = 18.0\nt0 = n0 * 1000.0\nt1 = t0 / 3600.0\nanswer = n1 * t1\nprint(answer)" + ], + "Output Answer": [ + "300" + ], + "split": "test" + }, + { + "Input": "mary can do a piece of work in 12 days . rosy is 50 % more efficient than mary . the number of days taken by rosy to do the same piece of work is ?", + "Output Program": [ + "n0 = 12.0\nn1 = 50.0\nt0 = n1 / 100.0\nt1 = t0 + 1.0\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 174 , how many hours overtime did he work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 40.0\nn2 = 174.0\nt0 = n0 * n1\nt1 = n0 * 2.0\nt2 = n2 - t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "test" + }, + { + "Input": "3 different containers contain 50 litres , 100 litres and 150 litres of mixture of milk and water respectively . what is the biggest measure can measure all the different quantities exactly ?", + "Output Program": [ + "import scipy\nn0 = 3.0\nn1 = 50.0\nn2 = 100.0\nn3 = 150.0\nt0 = scipy.gcd(int(n1), int(n2))\nanswer = scipy.gcd(int(n3), int(t0))\nprint(answer)" + ], + "Output Answer": [ + "50" + ], + "split": "test" + }, + { + "Input": "the edges of a cuboid are 4 cm , 5 cm and 7 cm . find the volume of the cuboid ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 7.0\n\nanswer = n0 * n1 * n2\nprint(answer)" + ], + "Output Answer": [ + "140" + ], + "split": "test" + }, + { + "Input": "find the distance covered by a man walking for 10 min at a speed of 6 km / hr ?", + "Output Program": [ + "n0 = 10.0\nn1 = 6.0\nt0 = n1 * 1000.0\nt1 = t0 / 60.0\nt2 = n0 * t1\nanswer = t2 / 1000.0\nprint(answer)" + ], + "Output Answer": [ + "1" + ], + "split": "test" + }, + { + "Input": "the area of a sector of a circle of radius 4 cm formed by an arc of length 4.5 cm is ?", + "Output Program": [ + "n0 = 4.0\nn1 = 4.5\nt0 = 1.0 / 2.0\nt1 = n0 * n1\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "test" + }, + { + "Input": "the speed at which a man can row a boat in still water is 21 kmph . if he rows downstream , where the speed of current is 5 kmph , what time will he take to cover 90 metres ?", + "Output Program": [ + "n0 = 21.0\nn1 = 5.0\nn2 = 90.0\nt0 = n0 + n1\nt1 = t0 * 0.2778\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "12.460541618209005" + ], + "split": "test" + }, + { + "Input": "an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 28 metre of cloth ?", + "Output Program": [ + "n0 = 0.128\nn1 = 28.0\n\nanswer = n1 / n0\nprint(answer)" + ], + "Output Answer": [ + "218.75" + ], + "split": "test" + }, + { + "Input": "the radius of a circular wheel is 1.75 m , how many revolutions will it make in traveling 1 km ?", + "Output Program": [ + "n0 = 1.75\nn1 = 1.0\nt0 = n1 + 10.0\nt1 = 2.0 * 3.141592653589793\nt2 = n0 * t1\nt3 = t2 * 1000.0\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "999.5976625058432" + ], + "split": "test" + }, + { + "Input": "oil is poured into a tank so that the tank is being filled at the rate of 4 cubic feet per hour . if the empty rectangular tank is 9 feet long , 8 feet wide , and 5 feet deep , approximately how many hours does it take to fill the tank ?", + "Output Program": [ + "n0 = 4.0\nn1 = 9.0\nn2 = 8.0\nn3 = 5.0\nt0 = n1 * n2 * n3\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "test" + }, + { + "Input": "the speed of a boat in still water in 37 km / hr and the rate of current is 13 km / hr . the distance travelled downstream in 10 minutes is :", + "Output Program": [ + "n0 = 37.0\nn1 = 13.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "8.333333333333332" + ], + "split": "test" + }, + { + "Input": "a train 600 m long can cross an electric pole in 20 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 600.0\nn1 = 20.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "107.99999999999999" + ], + "split": "test" + }, + { + "Input": "the speed of a boat in still water is 15 km / hr and the rate of the current is 3 km / hr . the distance travelled downstream in 12 minutes is", + "Output Program": [ + "n0 = 15.0\nn1 = 3.0\nn2 = 12.0\nt0 = n0 + n1\nt1 = n2 / 60.0\nanswer = t0 * t1\nprint(answer)" + ], + "Output Answer": [ + "3.6" + ], + "split": "test" + }, + { + "Input": "a courtyard is 21 meter long and 14 meter board is to be paved with bricks of dimensions 14 cm by 8 cm . the total number of bricks required is :", + "Output Program": [ + "n0 = 21.0\nn1 = 14.0\nn2 = 14.0\nn3 = 8.0\nt0 = n0 * 100.0\nt1 = n1 * 100.0\nt2 = n2 * n3\nt3 = t0 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "26250" + ], + "split": "test" + }, + { + "Input": "two men and 7 children complete a certain piece of work in 4 days while 4 men and 4 children complete the same work in only 3 days . the number of days required by 1 man to complete the work is", + "Output Program": [ + "n0 = 7.0\nn1 = 4.0\nn2 = 4.0\nn3 = 4.0\nn4 = 3.0\nn5 = 1.0\nt0 = n1 + n1\nt1 = n0 / n4\nt2 = n0 * n1\nt3 = t2 - t0\nt4 = t1 - n5\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "14.999999999999998" + ], + "split": "test" + }, + { + "Input": "tanks p and b are each in the shape of a right circular cylinder . the interior of tank p has a height of 10 meters and a circumference of 8 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank p is what percent of the capacity of tank b ?", + "Output Program": [ + "import math\nn0 = 10.0\nn1 = 8.0\nn2 = 8.0\nn3 = 10.0\nt0 = n1 / 2.0\nt1 = n0 / 2.0\nt2 = t0 / 3.141592653589793\nt3 = t1 / 3.141592653589793\nt4 = math.pi * t2**2 * n0\nt5 = math.pi * t3**2 * n1\nt6 = t4 / t5\nanswer = t6 * 100.0\nprint(answer)" + ], + "Output Answer": [ + "80" + ], + "split": "test" + }, + { + "Input": "a 750 m long train crosses a platform in 39 sec while it crosses a signal pole in 18 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 750.0\nn1 = 39.0\nn2 = 18.0\nt0 = n0 / n2\nt1 = n1 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "875" + ], + "split": "test" + }, + { + "Input": "mr . shah decided to walk down the escalator of a tube station . he found \u00e2 that if he walks down 26 steps , he requires 30 seconds to reach the bottom . however , if he steps down 34 stairs he would only require 18 seconds to get to the bottom . if the time is measured from the moment the top step begins \u00e2 to descend to the time he steps off the last step at the bottom , find out the height of the stair way in steps ?", + "Output Program": [ + "n0 = 26.0\nn1 = 30.0\nn2 = 34.0\nn3 = 18.0\nt0 = n2 - n0\nt1 = n1 - n3\nt2 = t0 / t1\nt3 = n1 * t2\nanswer = n0 + t3\nprint(answer)" + ], + "Output Answer": [ + "46" + ], + "split": "test" + }, + { + "Input": "two pipes a and b can fill a tank in 36 hours and 45 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ?", + "Output Program": [ + "n0 = 36.0\nn1 = 45.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "the length of a room is 5.5 m and width is 3.75 m . find the cost of paying the floor by slabs at the rate of rs . 400 per sq . metre .", + "Output Program": [ + "n0 = 5.5\nn1 = 3.75\nn2 = 400.0\nt0 = n0 * n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "8250" + ], + "split": "test" + }, + { + "Input": "3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 12 pumps work to empty the tank in 1 day ?", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 2.0\nn3 = 12.0\nn4 = 1.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / n3\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "rob also compared the empire state building and the petronas towers . what is the height difference between the two if the empire state building is 435 m tall and the petronas towers is 458 m tall ?", + "Output Program": [ + "n0 = 435.0\nn1 = 458.0\n\nanswer = n1 - n0\nprint(answer)" + ], + "Output Answer": [ + "23" + ], + "split": "test" + }, + { + "Input": "find the area , diameter = 11 m .", + "Output Program": [ + "import math\nn0 = 11.0\nt0 = n0 / 2.0\nanswer = math.pi * t0**2\nprint(answer)" + ], + "Output Answer": [ + "95.03317777109125" + ], + "split": "test" + }, + { + "Input": "two tains of equal lengths take 10 seconds and 15 seconds respectively to cross a telegraph post . if the length of each train be 100 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 100.0\nt0 = n2 + n2\nt1 = n2 / n1\nt2 = n2 / n0\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "in a 500 m race , the ratio of the speeds of two contestants a and b is 3 : 4 . a has a start of 170 m . then , a wins by :", + "Output Program": [ + "n0 = 500.0\nn1 = 3.0\nn2 = 4.0\nn3 = 170.0\nt0 = n0 - n3\nt1 = n2 * t0\nt2 = t1 / n1\nanswer = n0 - t2\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "test" + }, + { + "Input": "a man can do a piece of work in 6 days , but with the help of his son he can do it in 3 days . in what time can the son do it alone ?", + "Output Program": [ + "n0 = 6.0\nn1 = 3.0\nt0 = n0 * n1\nt1 = n0 - n1\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "convert the 19 / 36 m / s into kilometers per hour ?", + "Output Program": [ + "n0 = 19.0\nn1 = 36.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "1.9000000000000001" + ], + "split": "test" + }, + { + "Input": "a can give b 100 meters start and c 170 meters start in a kilometer race . how much start can b give c in a kilometer race ?", + "Output Program": [ + "n0 = 100.0\nn1 = 170.0\nt0 = 10.0 * 100.0\nt1 = t0 - n1\nt2 = t0 - n0\nt3 = t0 * t1\nt4 = t3 / t2\nanswer = t0 - t4\nprint(answer)" + ], + "Output Answer": [ + "77.77777777777783" + ], + "split": "test" + }, + { + "Input": "the amount of time that three people worked on a special project was in the ratio of 2 to 4 to 6 . if the project took 144 hours , how many more hours did the hardest working person work than the person who worked the least ?", + "Output Program": [ + "n0 = 2.0\nn1 = 4.0\nn2 = 6.0\nn3 = 144.0\nt0 = n0 + n1\nt1 = n2 + t0\nt2 = n3 / t1\nt3 = n2 * t2\nt4 = n0 * t2\nanswer = t3 - t4\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "test" + }, + { + "Input": "joe drives 240 miles at 60 miles per hour , and then he drives the next 120 miles at 40 miles per hour . what is his average speed for the entire trip in miles per hour ?", + "Output Program": [ + "n0 = 240.0\nn1 = 60.0\nn2 = 120.0\nn3 = 40.0\nt0 = n0 + n2\nt1 = n0 / n1\nt2 = n2 / n3\nt3 = t1 + t2\nanswer = t0 / t3\nprint(answer)" + ], + "Output Answer": [ + "51.42857142857143" + ], + "split": "test" + }, + { + "Input": "a train 110 m long is running with a speed of 30 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?", + "Output Program": [ + "n0 = 110.0\nn1 = 30.0\nn2 = 6.0\nt0 = n1 + n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "10.999120070394369" + ], + "split": "test" + }, + { + "Input": "a train 250 m long running at 72 kmph crosses a platform in 50 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 250.0\nn1 = 72.0\nn2 = 50.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "750.08" + ], + "split": "test" + }, + { + "Input": "there are 24 students in a seventh grade class . they decided to plant birches and roses at the school ' s backyard . while each girl planted 3 roses , every three boys planted 1 birch . by the end of the day they planted 2424 plants . how many birches were planted ?", + "Output Program": [ + "n0 = 24.0\nn1 = 3.0\nn2 = 1.0\nn3 = 2424.0\nt0 = n0 * n1\nt1 = n1 * n1\nt2 = t0 - n0\nt3 = t1 - n2\nanswer = t2 / t3\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "how many seconds does sandy take to cover a distance of 600 meters , if sandy runs at a speed of 15 km / hr ?", + "Output Program": [ + "n0 = 600.0\nn1 = 15.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "143.98848092152627" + ], + "split": "test" + }, + { + "Input": "a certain bacteria colony doubles in size every day for 19 days , at which point it reaches the limit of its habitat and can no longer grow . if two bacteria colonies start growing simultaneously , how many days will it take them to reach the habitat \u2019 s limit ?", + "Output Program": [ + "n0 = 19.0\nt0 = n0 / n0\nanswer = n0 - t0\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "test" + }, + { + "Input": "a crow leaves its nest , and flies back and forth from its nest to a nearby ditch to gather worms . the distance between the nest and the ditch is 300 meters . in one and a half hours , the crow manages to bring worms to its nest 15 times . what is the speed of the crow in kilometers per hour ?", + "Output Program": [ + "n0 = 300.0\nn1 = 15.0\nt0 = n1 / 10.0\nt1 = n1 * 2.0\nt2 = n0 * t1\nt3 = t2 / 1000.0\nanswer = t3 / t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "if the tens digit of positive integers m , y are 6 , how many values of the tens digit of 2 ( m + y ) can be there ?", + "Output Program": [ + "n0 = 6.0\nn1 = 2.0\n\nanswer = n0 - n1\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "a train 400 m long can cross an electric pole in 10 sec and then find the speed of the train ?", + "Output Program": [ + "n0 = 400.0\nn1 = 10.0\nt0 = n0 / 1000.0\nt1 = n1 / 3600.0\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "144" + ], + "split": "test" + }, + { + "Input": "3 men and 7 women can complete a work in 10 days . but 4 men and 6 women need 8 days to complete the same work . in how many days will 10 women complete the same work ?", + "Output Program": [ + "n0 = 3.0\nn1 = 7.0\nn2 = 10.0\nn3 = 4.0\nn4 = 6.0\nn5 = 8.0\nn6 = 10.0\nt0 = 1.0 / n5\nt1 = 1.0 / n2\nt2 = n1 / n4\nt3 = t2 * t0\nt4 = n3 * t2\nt5 = t1 - t3\nt6 = n0 - t4\nt7 = t5 / t6\nt8 = n3 * t7\nt9 = t0 - t8\nt10 = t9 / n4\nt11 = n2 * t10\nanswer = 1 / t11\nprint(answer)" + ], + "Output Answer": [ + "39.999999999999964" + ], + "split": "test" + }, + { + "Input": "two friends c and d leave point c and point d simultaneously and travel towards point d and point c on the same route at their respective constant speeds . they meet along the route and immediately proceed to their respective destinations in 32 minutes and 50 minutes respectively . how long will d take to cover the entire journey between point d and point c ?", + "Output Program": [ + "import math\nn0 = 32.0\nn1 = 50.0\nt0 = n0 * n1\nt1 = math.sqrt(max(0, t0))\nanswer = n1 + t1\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "test" + }, + { + "Input": "the speed of a train is 90 kmph . what is the distance covered by it in 10 minutes ?", + "Output Program": [ + "n0 = 90.0\nn1 = 10.0\nt0 = n1 / 60.0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "test" + }, + { + "Input": "3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 4 pumps work to empty the tank in 1 day ?", + "Output Program": [ + "n0 = 3.0\nn1 = 8.0\nn2 = 2.0\nn3 = 4.0\nn4 = 1.0\nt0 = n0 * n1\nt1 = n2 * t0\nanswer = t1 / n3\nprint(answer)" + ], + "Output Answer": [ + "12" + ], + "split": "test" + }, + { + "Input": "it takes ten minutes to load a certain video on a cellphone , and fifteen seconds to load that same video on a laptop . if the two devices were connected so that they operated in concert at their respective rates , how many seconds would it take them to load the video , rounded to the nearest hundredth ?", + "Output Program": [ + "t0 = 2.0 + 3.0\nt1 = 3.0 * 4.0\nt2 = 4.0 * 4.0\nt3 = 100.0 * 100.0\nt4 = t0 + 4.0\nt5 = t1 + 3.0\nt6 = t2 * 3.0\nt7 = 1 / t5\nt8 = t4 * 60.0\nt9 = t6 - 2.0\nt10 = t9 / t3\nt11 = 1 / t8\nt12 = t11 + t7\nt13 = 1 / t12\nanswer = t13 - t10\nprint(answer)" + ], + "Output Answer": [ + "14.589994594594595" + ], + "split": "test" + }, + { + "Input": "a is twice as fast as b . if b alone can do a piece of work in 18 days , in what time can a and b together complete the work ?", + "Output Program": [ + "n0 = 18.0\nt0 = 1.0 / n0\nt1 = t0 * 2.0\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "tim and \u00e9 lan are 60 miles away from one another . they are starting to move towards each other simultaneously , tim at a speed of 10 mph and \u00e9 lan at a speed of 5 mph . if every hour they double their speeds , what is the distance that tim will pass until he meets \u00e9 lan ?", + "Output Program": [ + "n0 = 60.0\nn1 = 10.0\nn2 = 5.0\nt0 = n1 + n2\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "40" + ], + "split": "test" + }, + { + "Input": "what is the length of a bridge ( in meters ) , which a train 166 meters long and travelling at 45 km / h can cross in 40 seconds ?", + "Output Program": [ + "n0 = 166.0\nn1 = 45.0\nn2 = 40.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "334.03999999999996" + ], + "split": "test" + }, + { + "Input": "in a games hour 4 different types of players came to the ground ? cricket 11 , hokey 15 , football 21 , softball 15 . how many players are present in the ground ?", + "Output Program": [ + "n0 = 4.0\nn1 = 11.0\nn2 = 15.0\nn3 = 21.0\nn4 = 15.0\nt0 = n1 + n2\nt1 = n3 + n4\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "62" + ], + "split": "test" + }, + { + "Input": "the distance between two cities a and b is 330 km . a train starts from a at 8 a . m . and travels towards b at 60 km / hr . another train starts from b at 9 a . m . and travels towards a at 75 km / hr . at what time do they meet ?", + "Output Program": [ + "n0 = 330.0\nn1 = 8.0\nn2 = 60.0\nn3 = 9.0\nn4 = 75.0\nt0 = n0 + n4\nt1 = n2 + n4\nt2 = t0 / t1\nanswer = n1 + t2\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "test" + }, + { + "Input": "10 men can complete a work in 7 days . but 10 women need 14 days to complete the same work . how many days will 5 men and 10 women need to complete the work ?", + "Output Program": [ + "n0 = 10.0\nn1 = 7.0\nn2 = 10.0\nn3 = 14.0\nn4 = 5.0\nn5 = 10.0\nt0 = 1 / n1\nt1 = n0 * n3\nt2 = t0 / n0\nt3 = 1 / t1\nt4 = n0 * t3\nt5 = n4 * t2\nt6 = t4 + t5\nanswer = 1 / t6\nprint(answer)" + ], + "Output Answer": [ + "7" + ], + "split": "test" + }, + { + "Input": "express 25 mps in kmph ?", + "Output Program": [ + "n0 = 25.0\nt0 = n0 / 1000.0\nanswer = t0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "test" + }, + { + "Input": "a can finish a work in 24 days and b can do the same work in 15 days . b worked for 10 days and left the job . in how many days , a alone can finish the remaining work ?", + "Output Program": [ + "n0 = 24.0\nn1 = 15.0\nn2 = 10.0\nt0 = 1.0 / n1\nt1 = n2 * t0\nt2 = n0 * t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "a hall 36 m long and 15 m broad is to be paved with stones , each measuring 5 dm by 5 dm . the number of stones required is :", + "Output Program": [ + "n0 = 36.0\nn1 = 15.0\nn2 = 5.0\nn3 = 5.0\nt0 = n0 * n1\nt1 = n2 * n3\nt2 = t1 / 100.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "2160" + ], + "split": "test" + }, + { + "Input": "before leaving home for the town of madison , pete checks a map which shows that madison is 6 inches from his current location , gardensquare . pete arrives in madison 2.5 hours later and drove at an average speed of 60 miles per hour . at what scale , in inches per mile , is the map drawn ?", + "Output Program": [ + "n0 = 6.0\nn1 = 2.5\nn2 = 60.0\nt0 = n1 / n0\nt1 = t0 * n2\nanswer = 1.0 / t1\nprint(answer)" + ], + "Output Answer": [ + "0.04" + ], + "split": "test" + }, + { + "Input": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 25 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 36.0\nn2 = 25.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "250" + ], + "split": "test" + }, + { + "Input": "the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 400 resolutions ?", + "Output Program": [ + "n0 = 22.4\nn1 = 400.0\nt0 = 3.0 + 4.0\nt1 = t0 * 3.0\nt2 = t1 + 1.0\nt3 = t2 / t0\nt4 = n0 * t3\nt5 = t4 * 2.0\nt6 = n1 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "563.1999999999999" + ], + "split": "test" + }, + { + "Input": "renu can do a piece of work in 6 days , but with the help of her friend suma , she can do it in 5 days . in what time suma can do it alone ?", + "Output Program": [ + "n0 = 6.0\nn1 = 5.0\nt0 = 1.0 / n1\nt1 = 1.0 / n0\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "29.999999999999982" + ], + "split": "test" + }, + { + "Input": "if 5 machines can produce 20 units in 10 hours , how long would it take 20 machines to produce 160 units ?", + "Output Program": [ + "n0 = 5.0\nn1 = 20.0\nn2 = 10.0\nn3 = 20.0\nn4 = 160.0\nt0 = n1 / n2\nt1 = t0 / n0\nt2 = n1 * t1\nanswer = n4 / t2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "a policeman noticed a criminal from a distance of 200 km . the criminal starts running and the policeman chases him . the criminal and the policeman run at the rate of 8 km and 9 km per hour respectively . what is the distance between them after 3 minutes ?", + "Output Program": [ + "n0 = 200.0\nn1 = 8.0\nn2 = 9.0\nn3 = 3.0\nt0 = n3 / 60.0\nt1 = t0 * 1000.0\nanswer = n0 - t1\nprint(answer)" + ], + "Output Answer": [ + "150" + ], + "split": "test" + }, + { + "Input": "arun and tarun can do a work in 10 days . after 4 days tarun went to his village . how many days are required to complete the remaining work by arun alone . arun can do the work alone in 50 days .", + "Output Program": [ + "n0 = 10.0\nn1 = 4.0\nn2 = 50.0\nt0 = n2 / n0\nt1 = n1 * t0\nanswer = n2 - t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "test" + }, + { + "Input": "three cubes of iron whose edges are 6 cm , 8 cm and 10 cm respectively are melted and formed into a single cube . the edge of the new cube formed is", + "Output Program": [ + "n0 = 6.0\nn1 = 8.0\nn2 = 10.0\nt0 = n0**3\nt1 = n1**3\nt2 = n2**3\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = t4**(1 / 3)\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999998" + ], + "split": "test" + }, + { + "Input": "two trains are moving in the same direction at 126 kmph and 54 kmph . the faster train crosses a man in the slower train in 14 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 126.0\nn1 = 54.0\nn2 = 14.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "280" + ], + "split": "test" + }, + { + "Input": "the first , second and third terms of the proportion are 56 , 16 , 49 . find the fourth term .", + "Output Program": [ + "n0 = 56.0\nn1 = 16.0\nn2 = 49.0\nt0 = n1 * n2\nanswer = t0 / n0\nprint(answer)" + ], + "Output Answer": [ + "14" + ], + "split": "test" + }, + { + "Input": "sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 324 per week . how much does she earn in dollars per hour ?", + "Output Program": [ + "n0 = 8.0\nn1 = 6.0\nn2 = 324.0\nt0 = n0 * 3.0\nt1 = n1 * 2.0\nt2 = t0 + t1\nanswer = n2 / t2\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "test" + }, + { + "Input": "a train 150 m long running at 72 kmph crosses a platform in 20 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 150.0\nn1 = 72.0\nn2 = 20.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "250.03199999999998" + ], + "split": "test" + }, + { + "Input": "a brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 28 m * 2 m * 0.75 m ?", + "Output Program": [ + "n0 = 20.0\nn1 = 10.0\nn2 = 7.5\nn3 = 28.0\nn4 = 2.0\nn5 = 0.75\nt0 = n3 * 100.0\nt1 = n4 * 100.0\nt2 = n5 * 100.0\nt3 = t0 * t1\nt4 = t3 * t2\nt5 = t4 / n0\nt6 = t5 / n1\nanswer = t6 / n2\nprint(answer)" + ], + "Output Answer": [ + "28000" + ], + "split": "test" + }, + { + "Input": "a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 9 hours . if both the taps are opened simultaneously then after how much time will the cistern get filled ?", + "Output Program": [ + "n0 = 4.0\nn1 = 9.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 - t1\nanswer = 1.0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.199999999999999" + ], + "split": "test" + }, + { + "Input": "after an ice began to melt out from the freezer , in the first hour lost 3 / 4 , in the second hour lost 3 / 4 of its remaining . if after two hours , the volume is 0.3 cubic inches , what is the original volume of the cubic ice , in cubic inches ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nn2 = 3.0\nn3 = 4.0\nn4 = 0.3\nt0 = n4 / 0.25\nanswer = t0 / 0.25\nprint(answer)" + ], + "Output Answer": [ + "4.8" + ], + "split": "test" + }, + { + "Input": "x does a work in 40 days . y does the same work in 60 days . in how many days they together will do the same work ?", + "Output Program": [ + "n0 = 40.0\nn1 = 60.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "23.999999999999996" + ], + "split": "test" + }, + { + "Input": "what is the speed of the stream if a canoe rows upstream at 6 km / hr and downstream at 12 km / hr", + "Output Program": [ + "n0 = 6.0\nn1 = 12.0\nt0 = n1 - n0\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "test" + }, + { + "Input": "the length of the bridge , which a train 130 metres long and travelling at 36 km / hr can cross in 45 seconds , is :", + "Output Program": [ + "n0 = 130.0\nn1 = 36.0\nn2 = 45.0\nt0 = 1000.0 / 1.0\nt1 = 3600.0 / 1.0\nt2 = n1 * t0\nt3 = t2 / t1\nt4 = n2 * t3\nanswer = t4 - n0\nprint(answer)" + ], + "Output Answer": [ + "320" + ], + "split": "test" + }, + { + "Input": "the speed of a car increases by 2 kms after every one hour . if the distance travelled in the first one hour was 35 kms , what was the total distance travelled in 12 hours ?", + "Output Program": [ + "n0 = 2.0\nn1 = 35.0\nn2 = 12.0\nt0 = n2 / n0\nt1 = n0 * n1\nt2 = n2 - 1.0\nt3 = n0 * t2\nt4 = t1 + t3\nanswer = t4 * t0\nprint(answer)" + ], + "Output Answer": [ + "552" + ], + "split": "test" + }, + { + "Input": "a boy goes to his school from his house at a speed of 3 km / hr and return at a speed of 2 km / hr . if he takes 5 hours in going and coming , the distance between his house and school is ?", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 5.0\nt0 = n0 / n1\nt1 = t0 + 1.0\nt2 = n2 / t1\nanswer = n0 * t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "how many seconds will a 600 meter long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ?", + "Output Program": [ + "n0 = 600.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 * 0.2778\nt2 = n0 / t1\nt3 = t2 - 1.0\nt4 = t3 * 10.0\nanswer = t4 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "699.9424046076314" + ], + "split": "test" + }, + { + "Input": "a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , which a and b together can do it in 2 hours . how long will c alone take to do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nn2 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "test" + }, + { + "Input": "two pipes a and b can fill a cistern in 10 and 15 minutes respectively . both fill pipes are opened together , but at the end of 3 minutes , \u2018 b \u2019 is turned off . how much time will the cistern take to fill ?", + "Output Program": [ + "n0 = 10.0\nn1 = 15.0\nn2 = 3.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 + t1\nt3 = t2 * 3.0\nt4 = 1.0 - t3\nt5 = n0 * t4\nanswer = n2 + t5\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "a swimmer can swim in still water at 4 km / h . if the speed of the water current is 2 km / h , how many hours will the swimmer take to swim against the current for 8 km ?", + "Output Program": [ + "n0 = 4.0\nn1 = 2.0\nn2 = 8.0\nt0 = n0 - n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "two spherical balls lie on the ground touching . if one of the balls has a radius of 8 cm , and the point of contact is 12 cm above the ground , what is the radius of the other ball ( in centimeters ) ?", + "Output Program": [ + "n0 = 8.0\nn1 = 12.0\nt0 = 4.0 + n1\nanswer = t0 + n0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "test" + }, + { + "Input": "if a and b together can finish a work in 16 days . a can finish same work alone in 24 days then b alone can finish same work alone in how many days ?", + "Output Program": [ + "n0 = 16.0\nn1 = 24.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = t0 - t1\nanswer = 1 / t2\nprint(answer)" + ], + "Output Answer": [ + "47.99999999999999" + ], + "split": "test" + }, + { + "Input": "how many seconds will a 500 m long train take to cros a man walking with a speed of 3 kmph in the direction of the moving train if the speed of the train is 63 kmph", + "Output Program": [ + "n0 = 500.0\nn1 = 3.0\nn2 = 63.0\nt0 = n2 - n1\nt1 = t0 / 3.6\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "29.999999999999996" + ], + "split": "test" + }, + { + "Input": "the current in a river is 5 mph . a boat can travel 20 mph in still water . how far up the river can the boat travel if the round trip is to take 10 hours ?", + "Output Program": [ + "n0 = 5.0\nn1 = 20.0\nn2 = 10.0\nt0 = n0 + n1\nt1 = n1 - n0\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n2 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "93.75" + ], + "split": "test" + }, + { + "Input": "a car traveled 340 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 6 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?", + "Output Program": [ + "n0 = 340.0\nn1 = 336.0\nn2 = 6.0\nt0 = n0 - n1\nt1 = t0 / n2\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "504" + ], + "split": "test" + }, + { + "Input": "1850 men have provisions for 15 days . if 150 more men join them , for how many days will the provisions last now ?", + "Output Program": [ + "n0 = 1850.0\nn1 = 15.0\nn2 = 150.0\nt0 = n0 + n2\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "13.875" + ], + "split": "test" + }, + { + "Input": "a man can row a distance of 5 km in 60 min with the help of the tide . the direction of the tide reverses with the same speed . now he travels a further 20 km in 20 hours . how much time he would have saved if the direction of tide has not changed ?", + "Output Program": [ + "n0 = 5.0\nn1 = 60.0\nn2 = 20.0\nn3 = 20.0\nt0 = n2 / n0\nanswer = n3 - t0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "test" + }, + { + "Input": "a man can do a job in 15 days . his father takes 20 days and his son finishes it in 15 days . how long will they take to complete the job if they all work together ?", + "Output Program": [ + "n0 = 15.0\nn1 = 20.0\nn2 = 15.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = 1.0 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "5.454545454545454" + ], + "split": "test" + }, + { + "Input": "each of the three people individually can complete a certain job in 3 , 5 , and 6 hours , respectively . what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates ?", + "Output Program": [ + "n0 = 4.0\nn1 = 5.0\nn2 = 6.0\nn3 = 1.0\nn4 = 2.0\nt0 = n3 / n1\nt1 = n3 / n2\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "0.3666666666666667" + ], + "split": "test" + }, + { + "Input": "find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 30 cm ?", + "Output Program": [ + "n0 = 20.0\nn1 = 18.0\nn2 = 30.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "570" + ], + "split": "test" + }, + { + "Input": "two trains of equal length , running with the speeds of 60 and 40 kmph , take 75 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?", + "Output Program": [ + "n0 = 60.0\nn1 = 40.0\nn2 = 75.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 * 0.2778\nt3 = t1 * 0.2778\nt4 = 1 / t2\nt5 = n2 * t3\nanswer = t4 * t5\nprint(answer)" + ], + "Output Answer": [ + "15.000000000000002" + ], + "split": "test" + }, + { + "Input": "in what time will a train 100 m long cross an electric pole , it its speed be 90 km / hr ?", + "Output Program": [ + "n0 = 100.0\nn1 = 90.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "3.9996800255979523" + ], + "split": "test" + }, + { + "Input": "two trains 119 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?", + "Output Program": [ + "n0 = 119.0\nn1 = 165.0\nn2 = 80.0\nn3 = 65.0\nt0 = n0 + n1\nt1 = n2 + n3\nt2 = t1 * 0.2778\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "7.050470445123011" + ], + "split": "test" + }, + { + "Input": "if 20 men can build a wall 66 metres long in 10 days , what length of a similar can be built by 86 men in 8 days ?", + "Output Program": [ + "n0 = 20.0\nn1 = 66.0\nn2 = 10.0\nn3 = 86.0\nn4 = 8.0\nt0 = n3 * n4\nt1 = n0 * n2\nt2 = t0 / t1\nanswer = n1 * t2\nprint(answer)" + ], + "Output Answer": [ + "227.04" + ], + "split": "test" + }, + { + "Input": "by travelling at 60 kmph , a person reaches his destination on time . he covered two - third the total distance in one - third of the total time . what speed should he maintain for the remaining distance to reach his destination on time ?", + "Output Program": [ + "n0 = 60.0\nt0 = n0 * 3.0\nt1 = 3.0 - 1.0\nt2 = t0 * 2.0\nt3 = t2 / 3.0\nt4 = t0 - t3\nanswer = t4 / t1\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "test" + }, + { + "Input": "p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 20 days to complete the same work . then q alone can do it in", + "Output Program": [ + "n0 = 10.0\nn1 = 20.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = t0 + t1\nt3 = t2 / 2.0\nt4 = t3 - t1\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "39.999999999999986" + ], + "split": "test" + }, + { + "Input": "a is twice as good a workman as b and they took 8 days together to do the work b alone can do it in .", + "Output Program": [ + "n0 = 8.0\nt0 = 1.0 + 2.0\nt1 = n0 * t0\nt2 = t1 / 2.0\nanswer = t2 * 2.0\nprint(answer)" + ], + "Output Answer": [ + "24" + ], + "split": "test" + }, + { + "Input": "two trains are moving in the same direction at 72 kmph and 36 kmph . the faster train crosses a man in the slower train in 27 seconds . find the length of the faster train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 36.0\nn2 = 27.0\nt0 = n0 - n1\nt1 = t0 / 3.6\nanswer = n2 * t1\nprint(answer)" + ], + "Output Answer": [ + "270" + ], + "split": "test" + }, + { + "Input": "find the area of trapezium whose parallel sides are 30 cm and 18 cm long , and the distance between them is 15 cm .", + "Output Program": [ + "n0 = 30.0\nn1 = 18.0\nn2 = 15.0\n\nanswer = n2 * (n1 + n0) / 2 # quadrilateral area\nprint(answer)" + ], + "Output Answer": [ + "360" + ], + "split": "test" + }, + { + "Input": "a trader sells 23 meters of cloth for rs . 529 at the profit of rs . 5 per metre of cloth . what is the cost price of one metre of cloth ?", + "Output Program": [ + "n0 = 23.0\nn1 = 529.0\nn2 = 5.0\nt0 = n1 / n0\nanswer = t0 - n2\nprint(answer)" + ], + "Output Answer": [ + "18" + ], + "split": "test" + }, + { + "Input": "if 8 cats can kill 8 rats in 8 minutes , how long will it take 100 cats to kill 100 rats ?", + "Output Program": [ + "n0 = 8.0\nn1 = 8.0\nn2 = 8.0\nn3 = 100.0\nn4 = 100.0\n\nanswer = n0 * 1.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 12 hours a day , the number of men required ?", + "Output Program": [ + "n0 = 12.0\nn1 = 8.0\nn2 = 10.0\nn3 = 8.0\nn4 = 12.0\nt0 = n0 * n2\nt1 = n3 * n4\nt2 = n1 * t0\nanswer = t2 / t1\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "test" + }, + { + "Input": "a train 120 m long running at 60 kmph crosses a platform in 35 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 120.0\nn1 = 60.0\nn2 = 35.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "463.38" + ], + "split": "test" + }, + { + "Input": "a 125 meter long train crosses a man standing on the platform in 5 sec . what is the speed of the train ?", + "Output Program": [ + "n0 = 125.0\nn1 = 5.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "test" + }, + { + "Input": "a , b and c can do a piece of work in 7 days , 14 days and 28 days respectively . how long will they take to finish the work , if all the three work together ?", + "Output Program": [ + "n0 = 7.0\nn1 = 14.0\nn2 = 28.0\nt0 = 1 / n0\nt1 = 1 / n1\nt2 = 1 / n2\nt3 = t0 + t1\nt4 = t3 + t2\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "lamp a flashes every 6 seconds , lamp b flashes every 8 seconds , lamp c flashes every 10 seconds . at a certain instant of time all 3 lamps flash simultaneously . during the period of 6 minutes after that how many times will exactly two lamps flash ? ( please include any flash of exactly two lights which occurs at the 6 minute mark . )", + "Output Program": [ + "import scipy\nn0 = 6.0\nn1 = 8.0\nn2 = 10.0\nn3 = 3.0\nn4 = 6.0\nn5 = 6.0\nt0 = scipy.lcm(int(n0), int(n1))\nt1 = scipy.lcm(int(n0), int(n2))\nt2 = scipy.lcm(int(n1), int(n2))\nt3 = n0 * 60.0\nt4 = t3 / t0\nt5 = t3 / t1\nt6 = t3 / t2\nt7 = scipy.lcm(int(n2), int(t0))\nt8 = t4 + t5\nt9 = t3 / t7\nt10 = t8 + t6\nt11 = n3 * t9\nanswer = t10 - t11\nprint(answer)" + ], + "Output Answer": [ + "27" + ], + "split": "test" + }, + { + "Input": "in how many seconds will a train 100 meters long pass an oak tree , if the speed of the train is 36 km / hr ?", + "Output Program": [ + "n0 = 100.0\nn1 = 36.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "9.99920006399488" + ], + "split": "test" + }, + { + "Input": "a goods bullet train runs at the speed of 72 km / hr and crosses a 250 m long platform in 26 seconds . what is the length of the goods bullet train ?", + "Output Program": [ + "n0 = 72.0\nn1 = 250.0\nn2 = 26.0\nt0 = n0 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n1\nprint(answer)" + ], + "Output Answer": [ + "270.0416" + ], + "split": "test" + }, + { + "Input": "on a trip , a cyclist averaged 11 miles per hour for the first 22 miles and 10 miles per hour for the remaining 20 miles . if the cyclist returned immediately via the same route and took a total of 9 hours for the round trip , what was the average speed ( in miles per hour ) for the return trip ?", + "Output Program": [ + "n0 = 11.0\nn1 = 22.0\nn2 = 10.0\nn3 = 20.0\nn4 = 9.0\nt0 = n1 + n3\nt1 = n1 / n0\nt2 = n3 / n2\nt3 = t1 + t2\nt4 = n4 - t3\nanswer = t0 / t4\nprint(answer)" + ], + "Output Answer": [ + "8.4" + ], + "split": "test" + }, + { + "Input": "an engine moves at the speed of 90 kmph without any coaches attached to it . speed of the train reduces at the rate that varies directly as the square root of the number of coaches attached . when 9 coaches are attached speed decreases to 78 kmph . what will be the speed of train when 25 coaches are attached .", + "Output Program": [ + "import math\nn0 = 90.0\nn1 = 9.0\nn2 = 78.0\nn3 = 25.0\nt0 = math.sqrt(max(0, n1))\nt1 = math.sqrt(max(0, n3))\nt2 = n0 - n2\nt3 = t2 / t0\nt4 = t3 * t1\nanswer = n0 - t4\nprint(answer)" + ], + "Output Answer": [ + "70" + ], + "split": "test" + }, + { + "Input": "a train passes a man standing on a platform in 8 seconds and also crosses the platform which is 264 metres long in 20 seconds . the length of the train ( in metres ) is :", + "Output Program": [ + "n0 = 8.0\nn1 = 264.0\nn2 = 20.0\nt0 = n2 - n0\nt1 = n1 / t0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "176" + ], + "split": "test" + }, + { + "Input": "a train 450 m long is running at a speed of 68 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?", + "Output Program": [ + "n0 = 450.0\nn1 = 68.0\nn2 = 8.0\nt0 = n1 - n2\nt1 = t0 * 0.2778\nanswer = n0 / t1\nprint(answer)" + ], + "Output Answer": [ + "26.997840172786177" + ], + "split": "test" + }, + { + "Input": "jim drove 1096 miles of a 1200 miles journey . how many more miles does he need to drive to finish his journey ?", + "Output Program": [ + "n0 = 1096.0\nn1 = 1200.0\n\nanswer = n1 - n0\nprint(answer)" + ], + "Output Answer": [ + "104" + ], + "split": "test" + }, + { + "Input": "ram , who is half as efficient as krish , will take 18 days to complete a task if he worked alone . if ram and krish worked together , how long will they take to complete the task ?", + "Output Program": [ + "n0 = 18.0\nt0 = 1.0 / n0\nt1 = n0 / 2.0\nt2 = 1.0 / t1\nt3 = t0 + t2\nanswer = 1 / t3\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "a train is 360 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 240 meter length ?", + "Output Program": [ + "n0 = 360.0\nn1 = 45.0\nn2 = 240.0\nt0 = n0 + n2\nt1 = n1 * 1000.0\nt2 = t1 / 3600.0\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "48" + ], + "split": "test" + }, + { + "Input": "it costs $ 2 for the first 15 minutes to use the bumper cars at a fair ground . after the first 15 minutes it costs $ 6 per hour . if a certain customer uses the bumper cars for 3 hours and 25 minutes , how much will it cost him ?", + "Output Program": [ + "n0 = 2.0\nn1 = 15.0\nn2 = 15.0\nn3 = 6.0\nn4 = 3.0\nn5 = 25.0\nt0 = n3 / 60.0\nt1 = n4 * 60.0\nt2 = n5 + t1\nt3 = t2 - n1\nt4 = t0 * t3\nanswer = n0 + t4\nprint(answer)" + ], + "Output Answer": [ + "21" + ], + "split": "test" + }, + { + "Input": "a rectangular grassy plot 110 m . by 65 m has a gravel path 2.5 m wide all round it on the inside . find the cost of gravelling the path at 30 paise per sq . metre", + "Output Program": [ + "n0 = 110.0\nn1 = 65.0\nn2 = 2.5\nn3 = 30.0\nt0 = n0 * n1\nt1 = n2 * 2.0\nt2 = n0 - t1\nt3 = n1 - t1\nt4 = t2 * t3\nt5 = t0 - t4\nt6 = n3 * t5\nanswer = t6 / 100.0\nprint(answer)" + ], + "Output Answer": [ + "255" + ], + "split": "test" + }, + { + "Input": "john and andrew can finish the work 9 days if they work together . they worked together for 6 days and then andrew left . john finished the remaining work in another 6 days . in how many days john alone can finish the work ?", + "Output Program": [ + "n0 = 9.0\nn1 = 6.0\nn2 = 6.0\nt0 = n1 / n0\nt1 = 1.0 - t0\nanswer = n1 / t1\nprint(answer)" + ], + "Output Answer": [ + "17.999999999999996" + ], + "split": "test" + }, + { + "Input": "a boat having a length 5 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :", + "Output Program": [ + "n0 = 5.0\nn1 = 2.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "test" + }, + { + "Input": "if 100 cats kill 100 mice in 100 days , then 4 cats would kill 4 mice in how many days ?", + "Output Program": [ + "n0 = 100.0\nn1 = 100.0\nn2 = 100.0\nn3 = 4.0\nn4 = 4.0\nt0 = n0 * n3\nt1 = n0 * t0\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "100" + ], + "split": "test" + }, + { + "Input": "30 men can complete a piece of work in 18 days . in how many days will 27 men complete the same work ?", + "Output Program": [ + "n0 = 30.0\nn1 = 18.0\nn2 = 27.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "if two - third of a bucket is filled in 6 minute then the time taken to fill the bucket completely will be .", + "Output Program": [ + "n0 = 6.0\nt0 = n0 / 2.0\nanswer = t0 * 3.0\nprint(answer)" + ], + "Output Answer": [ + "9" + ], + "split": "test" + }, + { + "Input": "a man swims downstream 28 km and upstream 16 km taking 4 hours each time , what is the speed of the man in still water ?", + "Output Program": [ + "n0 = 28.0\nn1 = 16.0\nn2 = 4.0\nt0 = n1 / n2\nt1 = n0 / n2\nt2 = t0 + t1\nanswer = t2 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "5.5" + ], + "split": "test" + }, + { + "Input": "alice and bob drive at constant speeds toward each other on a highway . alice drives at a constant speed of 30 km per hour . at a certain time they pass by each other , and then keep driving away from each other , maintaining their constant speeds . if alice is 100 km away from bob at 7 am , and also 100 km away from bob at 11 am , then how fast is bob driving ( in kilometers per hour ) ?", + "Output Program": [ + "n0 = 30.0\nn1 = 100.0\nn2 = 7.0\nn3 = 100.0\nn4 = 11.0\nt0 = n1 + n1\nt1 = n4 - n2\nt2 = t0 / t1\nanswer = t2 - n0\nprint(answer)" + ], + "Output Answer": [ + "20" + ], + "split": "test" + }, + { + "Input": "in what time will a train 100 metres long cross an electic pole , if its speed be 144 km / hr ?", + "Output Program": [ + "n0 = 100.0\nn1 = 144.0\nt0 = n1 * 0.2778\nanswer = n0 / t0\nprint(answer)" + ], + "Output Answer": [ + "2.49980001599872" + ], + "split": "test" + }, + { + "Input": "a person can row at 10 kmph in still water . if the velocity of the current is 2 kmph and it takes him 25 hour to row to a place and come back , how far is the place ?", + "Output Program": [ + "n0 = 10.0\nn1 = 2.0\nn2 = 25.0\nt0 = n0 + n1\nt1 = n0 - n1\nt2 = t0 + t1\nt3 = t0 * t1\nt4 = n2 * t3\nanswer = t4 / t2\nprint(answer)" + ], + "Output Answer": [ + "120" + ], + "split": "test" + }, + { + "Input": "a wooden box of dimensions 8 m x 3 m x 6 m is to carry rectangularboxes of dimensions 8 cm x 3 cm x 2 cm . the maximum number ofboxes that can be carried in the wooden box , is", + "Output Program": [ + "n0 = 8.0\nn1 = 3.0\nn2 = 6.0\nn3 = 8.0\nn4 = 3.0\nn5 = 2.0\nt0 = n2 * 100.0\nt1 = n1 * 100.0\nt2 = 4.0 * n1\nt3 = t0 * t1\nt4 = n1 * t2\nt5 = t3 * t0\nanswer = t5 / t4\nprint(answer)" + ], + "Output Answer": [ + "3000000" + ], + "split": "test" + }, + { + "Input": "a can do a work in 8 days . b can do the same work in 24 days . if both a & b are working together in how many days they will finish the work ?", + "Output Program": [ + "n0 = 8.0\nn1 = 24.0\nt0 = n0 + n1\nt1 = n0 * n1\nanswer = t1 / t0\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "what is the greatest of 3 consecutive integers whose sum is 30 ?", + "Output Program": [ + "n0 = 3.0\nn1 = 30.0\nt0 = n1 - n0\nt1 = t0 / n0\nanswer = t1 + 2.0\nprint(answer)" + ], + "Output Answer": [ + "11" + ], + "split": "test" + }, + { + "Input": "how many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?", + "Output Program": [ + "n0 = 100.0\nn1 = 150.0\nn2 = 36.0\nt0 = n0 + n1\nt1 = n2 * 0.2778\nanswer = t0 / t1\nprint(answer)" + ], + "Output Answer": [ + "24.9980001599872" + ], + "split": "test" + }, + { + "Input": "a boat can travel with a speed of 15 km / hr in still water . if the speed of the stream is 6 km / hr , find the time taken by the boat to go 86 km downstream .", + "Output Program": [ + "n0 = 15.0\nn1 = 6.0\nn2 = 86.0\nt0 = n0 + n1\nanswer = n2 / t0\nprint(answer)" + ], + "Output Answer": [ + "4.095238095238095" + ], + "split": "test" + }, + { + "Input": "a train running at a speed of 36 km / h passes an electric pole in 15 seconds . in how many seconds will the whole train pass a 370 - meter long platform ?", + "Output Program": [ + "n0 = 36.0\nn1 = 15.0\nn2 = 370.0\nt0 = n0 * 0.2778\nt1 = n1 * t0\nt2 = n2 + t1\nanswer = t2 / t0\nprint(answer)" + ], + "Output Answer": [ + "51.997040236781054" + ], + "split": "test" + }, + { + "Input": "a pump can fill a tank with water in 3 hours . because of a leak , it took 3 1 / 3 hours to fill the tank . the leak can drain all the water of the tank in ?", + "Output Program": [ + "n0 = 3.0\nn1 = 3.0\nn2 = 1.0\nn3 = 3.0\nt0 = n2 / n0\nt1 = n0 * n3\nt2 = n2 + t1\nt3 = t2 / n3\nt4 = 1 / t3\nt5 = t0 - t4\nanswer = 1 / t5\nprint(answer)" + ], + "Output Answer": [ + "30.000000000000007" + ], + "split": "test" + }, + { + "Input": "45 men can complete a piece of work in 18 days . in how many days will 27 men complete the same work ?", + "Output Program": [ + "n0 = 45.0\nn1 = 18.0\nn2 = 27.0\nt0 = n0 * n1\nanswer = t0 / n2\nprint(answer)" + ], + "Output Answer": [ + "30" + ], + "split": "test" + }, + { + "Input": "27 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?", + "Output Program": [ + "n0 = 27.0\nn1 = 8.0\nn2 = 30.0\nn3 = 50.0\nn4 = 6.0\nt0 = n0 * n1\nt1 = t0 / n2\nt2 = n3 * t1\nt3 = t2 / n4\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "33" + ], + "split": "test" + }, + { + "Input": "15 men take 21 days of 8 hrs . each to do a piece of work . how many days of 4 hrs . each would it take for 21 women if 3 women do as much work as 2 men ?", + "Output Program": [ + "n0 = 15.0\nn1 = 21.0\nn2 = 8.0\nn3 = 4.0\nn4 = 21.0\nn5 = 3.0\nn6 = 2.0\nt0 = n6 / n5\nt1 = n0 * n1\nt2 = n1 * n3\nt3 = n2 * t1\nt4 = t0 * t2\nanswer = t3 / t4\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "test" + }, + { + "Input": "a flagstaff 17.5 m high casts a shadow of length 40.25 m . the height of the building , which casts a shadow of length 28.75 m under similar conditions will be :", + "Output Program": [ + "n0 = 17.5\nn1 = 40.25\nn2 = 28.75\nt0 = n0 / n1\nanswer = n2 * t0\nprint(answer)" + ], + "Output Answer": [ + "12.5" + ], + "split": "test" + }, + { + "Input": "x can do a piece of work in 4 hours ; y and z together can do it in 3 hours , while x and z together can do it in 2 hours . how long will y alone take to do it ?", + "Output Program": [ + "n0 = 4.0\nn1 = 3.0\nn2 = 2.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1 / t4\nprint(answer)" + ], + "Output Answer": [ + "12.000000000000004" + ], + "split": "test" + }, + { + "Input": "excluding stoppages , the speed of a bus is 84 kmph and including stoppages , it is 70 kmph . for how many minutes does the bus stop per hour ?", + "Output Program": [ + "n0 = 84.0\nn1 = 70.0\nt0 = n0 - n1\nt1 = t0 / n0\nanswer = t1 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "10" + ], + "split": "test" + }, + { + "Input": "the l . c . m of 22 , 54 , 108 , 135 and 198 is", + "Output Program": [ + "n0 = 22.0\nn1 = 54.0\nn2 = 108.0\nn3 = 135.0\nn4 = 198.0\nt0 = n0 / 2.0\nt1 = n3 / 3.0\nt2 = 2.0 * 2.0\nt3 = 3.0 * 3.0\nt4 = t1 / 3.0\nt5 = t3 * 3.0\nt6 = t4 / 3.0\nt7 = t2 * t5\nt8 = t6 * t7\nanswer = t0 * t8\nprint(answer)" + ], + "Output Answer": [ + "5940" + ], + "split": "test" + }, + { + "Input": "a girl sitting in a train which is travelling at 40 kmph observes that a goods train travelling in a opposite direction , takes 12 seconds to pass him . if the goods train is 1120 m long , find its speed .", + "Output Program": [ + "n0 = 40.0\nn1 = 12.0\nn2 = 1120.0\nt0 = n2 / n1\nt1 = t0 / 0.2778\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "295.973122150228" + ], + "split": "test" + }, + { + "Input": "the speed of the boat in still water in 12 kmph . it can travel downstream through 45 kms in 3 hrs . in what time would it cover the same distance upstream ?", + "Output Program": [ + "n0 = 12.0\nn1 = 45.0\nn2 = 3.0\nt0 = n1 / n2\nt1 = t0 - n0\nt2 = n0 - t1\nanswer = n1 / t2\nprint(answer)" + ], + "Output Answer": [ + "5" + ], + "split": "test" + }, + { + "Input": "a train 120 m in length crosses a telegraph post in 12 seconds . the speed of the train is ?", + "Output Program": [ + "n0 = 120.0\nn1 = 12.0\nt0 = n0 / n1\nanswer = t0 * 3.6\nprint(answer)" + ], + "Output Answer": [ + "36" + ], + "split": "test" + }, + { + "Input": "if ' a ' completes a piece of work in 3 days , which ' b ' completes it in 5 days and ' c ' takes 10 days to complete the same work . how long will they take to complete the work , if they work together ?", + "Output Program": [ + "n0 = 3.0\nn1 = 5.0\nn2 = 10.0\nt0 = n1 / n2\nt1 = n0 - 2.0\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "1.5" + ], + "split": "test" + }, + { + "Input": "noelle walks from point a to point b at an average speed of 3 kilometers per hour . at what speed , in kilometers per hour , must noelle walk from point b to point a so that her average speed for the entire trip is 4 kilometers per hour ?", + "Output Program": [ + "n0 = 3.0\nn1 = 4.0\nt0 = n0 * n1\nt1 = n0 * 2.0\nt2 = t1 - n1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "a train 150 m long running at 72 kmph crosses a platform in 25 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 150.0\nn1 = 72.0\nn2 = 25.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "350.04" + ], + "split": "test" + }, + { + "Input": "a truck covers a distance of 376 km at a certain speed in 8 hours . how much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 14 km more than that travelled by the truck ?", + "Output Program": [ + "n0 = 376.0\nn1 = 8.0\nn2 = 18.0\nn3 = 14.0\nt0 = n0 + n3\nt1 = n0 / n1\nt2 = n2 + t1\nanswer = t0 / t2\nprint(answer)" + ], + "Output Answer": [ + "6" + ], + "split": "test" + }, + { + "Input": "a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 55 percent .", + "Output Program": [ + "n0 = 1.0\nn1 = 20.0\nn2 = 55.0\nt0 = n2 / n1\nanswer = t0 * 60.0\nprint(answer)" + ], + "Output Answer": [ + "165" + ], + "split": "test" + }, + { + "Input": "a rectangular box measures internally 1.6 m long , 1 m broad and 60 cm deep . the number of cubical box each of edge 20 cm that can be packed inside the box is :", + "Output Program": [ + "n0 = 1.6\nn1 = 1.0\nn2 = 60.0\nn3 = 20.0\nt0 = n3 / 100.0\nt1 = n2 / 100.0\nt2 = n0 / t0\nt3 = n1 / t0\nt4 = t1 / t0\nanswer = t2 * t3 * t4\nprint(answer)" + ], + "Output Answer": [ + "119.99999999999999" + ], + "split": "test" + }, + { + "Input": "6 computers , each working at the same constant rate , together can process a certain amount of data in 9 days . how many additional computers , each working at the same constant rate , will be needed to process the same amount of data in 6 days ?", + "Output Program": [ + "n0 = 6.0\nn1 = 9.0\nn2 = 6.0\nt0 = 1.0 / n0\nt1 = 1.0 / n1\nt2 = n0 * t0\nt3 = t2 / t1\nanswer = t3 - n0\nprint(answer)" + ], + "Output Answer": [ + "3" + ], + "split": "test" + }, + { + "Input": "a rectangular grassy plot 110 m by 65 cm has a gravel path . 5 cm wide all round it on the inside . find the cost of gravelling the path at 80 paise per sq . mt", + "Output Program": [ + "n0 = 110.0\nn1 = 65.0\nn2 = 5.0\nn3 = 80.0\nt0 = n3 / 100.0\nt1 = n0 * n1\nt2 = n0 - n2\nt3 = n1 - n2\nt4 = t2 * t3\nt5 = t1 - t4\nanswer = t0 * t5\nprint(answer)" + ], + "Output Answer": [ + "680" + ], + "split": "test" + }, + { + "Input": "in a dairy farm , 16 cows eat 16 bags of husk in 16 days . in how many days one cow will eat one bag of husk ?", + "Output Program": [ + "n0 = 16.0\nn1 = 16.0\nn2 = 16.0\nt0 = n0 / n0\nanswer = n0 * t0\nprint(answer)" + ], + "Output Answer": [ + "16" + ], + "split": "test" + }, + { + "Input": "in 12 pumps can raise 1218 tons of water in 11 days of 9 hrs each , how many pumps will raise 2030 tons of water in 12 days of 11 hrs each ?", + "Output Program": [ + "n0 = 12.0\nn1 = 1218.0\nn2 = 11.0\nn3 = 9.0\nn4 = 2030.0\nn5 = 12.0\nn6 = 11.0\nt0 = n0 * n2\nt1 = n3 * t0\nt2 = n1 * t0\nt3 = n4 * t1\nanswer = t3 / t2\nprint(answer)" + ], + "Output Answer": [ + "15" + ], + "split": "test" + }, + { + "Input": "if 4 spiders make 4 webs in 4 days , then 1 spider will make 1 web in how many days ?", + "Output Program": [ + "n0 = 4.0\nn1 = 4.0\nn2 = 4.0\nn3 = 1.0\nn4 = 1.0\n\nanswer = n0 * n3\nprint(answer)" + ], + "Output Answer": [ + "4" + ], + "split": "test" + }, + { + "Input": "john left home and drove at the rate of 50 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination . how many miles did john drive ?", + "Output Program": [ + "n0 = 50.0\nn1 = 2.0\nn2 = 3.0\nn3 = 55.0\nt0 = n0 * n1\nt1 = n2 * n3\nanswer = t0 + t1\nprint(answer)" + ], + "Output Answer": [ + "265" + ], + "split": "test" + }, + { + "Input": "a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :", + "Output Program": [ + "n0 = 3.0\nn1 = 2.0\nn2 = 1.0\nt0 = n2 / 100.0\nt1 = n0 * n1\nt2 = t0 * t1\nanswer = t2 * 1000.0\nprint(answer)" + ], + "Output Answer": [ + "60" + ], + "split": "test" + }, + { + "Input": "the cross - section of a water channel is a trapezium in shape . if the channel is 14 meters wide at the top and 8 meters wide at the bottom and the area of cross - section is 990 square meters , what is the depth of the channel ( in meters ) ?", + "Output Program": [ + "n0 = 14.0\nn1 = 8.0\nn2 = 990.0\nt0 = n0 + n1\nt1 = t0 / 2.0\nanswer = n2 / t1\nprint(answer)" + ], + "Output Answer": [ + "90" + ], + "split": "test" + }, + { + "Input": "the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 9 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ?", + "Output Program": [ + "n0 = 60.0\nn1 = 5.0\nn2 = 9.0\nt0 = n1 * n2\nt1 = t0 / n0\nanswer = n0 * t1\nprint(answer)" + ], + "Output Answer": [ + "45" + ], + "split": "test" + }, + { + "Input": "in one hour , a boat goes 11 km along the stream and 5 km against the stream . the speed of the boat in still water ( in km / hr ) is :", + "Output Program": [ + "n0 = 11.0\nn1 = 5.0\nt0 = n0 + n1\nanswer = t0 / 2.0\nprint(answer)" + ], + "Output Answer": [ + "8" + ], + "split": "test" + }, + { + "Input": "express 35 mps in kmph ?", + "Output Program": [ + "n0 = 35.0\nt0 = n0 / 1000.0\nanswer = t0 * 3600.0\nprint(answer)" + ], + "Output Answer": [ + "126.00000000000001" + ], + "split": "test" + }, + { + "Input": "the area of a square field 3136 sq m , if the length of cost of drawing barbed wire 3 m around the field at the rate of rs . 2.50 per meter . two gates of 1 m width each are to be left for entrance . what is the total cost ?", + "Output Program": [ + "import math\nn0 = 3136.0\nn1 = 3.0\nn2 = 2.5\nn3 = 1.0\nt0 = n3 * 2.0\nt1 = math.sqrt(max(0, n0))\nt2 = t1 * 4.0\nt3 = t2 - t0\nt4 = n2 * t3\nanswer = t4 * n1\nprint(answer)" + ], + "Output Answer": [ + "1665" + ], + "split": "test" + }, + { + "Input": "a can do a piece of work in 6 hours ; b and c together can do it in 4 hours , which a and c together can do it in 3 hours . how long will b alone take to do it ?", + "Output Program": [ + "n0 = 6.0\nn1 = 4.0\nn2 = 3.0\nt0 = 1.0 / n1\nt1 = 1.0 / n2\nt2 = 1.0 / n0\nt3 = t1 - t2\nt4 = t0 - t3\nanswer = 1.0 / t4\nprint(answer)" + ], + "Output Answer": [ + "11.999999999999998" + ], + "split": "test" + }, + { + "Input": "a train 250 m long running at 72 kmph crosses a platform in 30 sec . what is the length of the platform ?", + "Output Program": [ + "n0 = 250.0\nn1 = 72.0\nn2 = 30.0\nt0 = n1 * 0.2778\nt1 = n2 * t0\nanswer = t1 - n0\nprint(answer)" + ], + "Output Answer": [ + "350.048" + ], + "split": "test" + } + ], + "Metadata": [ + { + "Answer": 3, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "a", + "Explanation": "\"let rate of one worker be r = > ( 6 * r ) * 8 = 1 ( rate * time = work ) = > r = 1 / 48 = > work remaining after 3 days 1 - ( 3 * 6 ) / 48 = 30 / 48 after 4 ppl joined in ( ( 6 + 4 ) * time ) / 48 = 30 / 48 time m = 3 days to finish the task imo a\"" + }, + { + "Answer": 1900, + "Options": "a ) 1778 , b ) 1682 , c ) 9178 , d ) 1900 , e ) 1782", + "Correct": "d", + "Explanation": "\"2000 - - - - 54 2000 - - - - 39 x - - - - - 20 x * 20 = 2000 * 39 x = 3900 2000 - - - - - - - 1900 answer : d\"" + }, + { + "Answer": 53.99568034557235, + "Options": "a ) 48 , b ) 36 , c ) 54 , d ) 11 , e ) 18", + "Correct": "c", + "Explanation": "\"explanation : here distance d = 900 mts speed s = 63 - 3 = 60 kmph = 60 x 5 / 18 m / s time t = = 54 sec . answer : c\"" + }, + { + "Answer": 126, + "Options": "a ) 120 , b ) 126 , c ) 132 , d ) 138 , e ) 144", + "Correct": "b", + "Explanation": "\"originally , the distance the car could go on a full tank was 14 * 27 = 378 miles . after it has been modified , the car can go 27 / 0.75 = 36 miles per gallon . on a full tank , the car can go 14 * 36 = 504 miles , thus 126 miles more . the answer is b .\"" + }, + { + "Answer": 42, + "Options": "a ) 34 , b ) 387 , c ) 42 , d ) 28 , e ) 71", + "Correct": "c", + "Explanation": "\"explanation : after 10 days : 150 men had food for 35 days . suppose 125 men had food for x days . now , less men , more days ( indirect proportion ) { \\ color { blue } \\ therefore } 125 : 150 : : 35 : x { \\ color { blue } \\ rightarrow } 125 x x = 150 x 35 { \\ color { blue } \\ rightarrow x = \\ frac { 150 \\ times 35 } { 125 } } { \\ color { blue } \\ rightarrow } x = 42 . answer : c ) 42\"" + }, + { + "Answer": 390, + "Options": "a ) 125 miles , b ) 225 miles , c ) 390 miles , d ) 425 miles , e ) 525 miles", + "Correct": "c", + "Explanation": "\"during each hour , the car travels 65 miles . for 6 hours it will travel 65 + 65 + 65 + 65 + 65 + 65 = 6 \u00d7 65 = 390 miles correct answer is c ) 390 miles\"" + }, + { + "Answer": 20, + "Options": "a ) 13 minutes , b ) 14 minutes , c ) 15 minutes , d ) 16 minutes , e ) 20 minutes", + "Correct": "e", + "Explanation": "\"rate = work / time given rate of machine a = x / 10 min machine b produces 2 x boxes in 5 min hence , machine b produces 4 x boxes in 10 min . rate of machine b = 4 x / 10 we need tofind the combined time that machines a and b , working simultaneouslytakeat their respective constant rates let ' s first find the combined rate of machine a and b rate of machine a = x / 10 min + rate of machine b = 4 x / 10 = 5 x / 10 now combine time = combine work needs to be done / combine rate = 10 x / 5 x * 10 = 6 min ans : e\"" + }, + { + "Answer": 20, + "Options": "a ) 10 hours , b ) 12 hours , c ) 20 hours , d ) 5 hours , e ) 15 hours", + "Correct": "c", + "Explanation": "\"work done by the leak in 1 hour = 1 / 10 - 1 / 20 = 1 / 20 the leak will empty the tank in 20 hours answer is c\"" + }, + { + "Answer": 30, + "Options": "a ) 76 , b ) 84 , c ) 56 , d ) 75 , e ) 30", + "Correct": "e", + "Explanation": "let the leak can empty the full tank in x hours 1 / 10 - 1 / x = 1 / 15 = > 1 / x = 1 / 10 - 1 / 15 = ( 3 - 2 ) / 30 = 1 / 30 = > x = 30 . answer : e" + }, + { + "Answer": 18, + "Options": "a ) 18 days , b ) 10 days , c ) 55 days , d ) 44 days , e ) 22 days", + "Correct": "a", + "Explanation": "\"total work to be done = 30 * 40 = 1200 let 12 men leave the work after ' p ' days , so that the remaining work is completed in 40 days after they leave the work . 40 p + ( 12 * 40 ) = 1200 40 p = 720 = > p = 18 days answer : a\"" + }, + { + "Answer": 12, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", + "Correct": "d", + "Explanation": "\"the speed of the train relative to the man = 30 + 3 = 33 km / h . 33000 m / h * 1 h / 3600 s = ( 330 / 36 ) m / s ( 110 m ) / ( 330 / 36 m / s ) = ( 110 * 36 ) / 330 = 36 / 3 = 12 seconds the answer is d .\"" + }, + { + "Answer": 7.695936049253991, + "Options": "a ) 4.85 , b ) 7.69 , c ) 6.85 , d ) 5.85 , e ) 6.15", + "Correct": "b", + "Explanation": "\"t = ( 110 + 200 ) / ( 80 + 65 ) * 18 / 5 t = 7.69 answer : b\"" + }, + { + "Answer": 10000, + "Options": "['a ) 100 cu . m', 'b ) 1000 cu . m', 'c ) 10000 cu . m', 'd ) 100000 cu . m', 'e ) 10000000 cu . m']", + "Correct": "c", + "Explanation": "100 * 10 * 10 = 10000 answer : c" + }, + { + "Answer": 216, + "Options": "a ) 54 , b ) 108 , c ) 216 , d ) 432 , e ) none of these", + "Correct": "c", + "Explanation": "explanation : lcm of 8 - 24 - 36 - 54 will be 2 * 2 * 2 * 3 * 3 * 3 = 216 answer : option c" + }, + { + "Answer": 11.666666666666668, + "Options": "a ) 10 , b ) 12 , c ) 13 , d ) 11.7 , e ) 15", + "Correct": "d", + "Explanation": "\"speed of the first train = 120 / 10 = 12 m / sec . speed of the second train = 120 / 14 = 8.6 m / sec . relative speed = 12 + 8.6 = 20.6 m / sec . required time = ( 120 + 120 ) / 20.6 = 11.7 sec . answer : option d\"" + }, + { + "Answer": 32.666666666666664, + "Options": "a ) 40.5 , b ) 32.34 , c ) 6.23 , d ) 9 , e ) 15", + "Correct": "b", + "Explanation": "let ' s go step - by - step . 25 cups are used over a 5 day period , which means 5 cups a day . this feeds 15 parakeets , which means each parakeet needs 1 / 3 of a cup every day . for 14 parakeets , we need 14 * 1 / 3 cups = 4.62 cups a day . over 7 days , we need 32.34 cups . choice b ." + }, + { + "Answer": 95, + "Options": "a ) 72 kmph , b ) 75 kmph , c ) 95 kmph , d ) 80 kmph , e ) 82 kmph", + "Correct": "c", + "Explanation": "\"s = ( 120 + 70 ) / 2 = 95 kmph answer : c\"" + }, + { + "Answer": 11.999999999999998, + "Options": "a ) 17.5 , b ) 7.4 , c ) 7.9 , d ) 12.0 , e ) 7.1", + "Correct": "d", + "Explanation": "\"net part filled in 1 hour = ( 1 / 4 - 1 / 6 ) = 1 / 12 the cistern will be filled in 12 / 1 hrs i . e . , 12 hrs . answer : d\"" + }, + { + "Answer": 84, + "Options": "a ) 75 m . , b ) 80 m . , c ) 84 m . , d ) 100 m . , e ) none of the above", + "Correct": "c", + "Explanation": "\"ratio of speeds of a and b is 2 : 1 b is 42 m away from a but we know that a covers 1 meter ( 2 - 1 ) more in every second than b the time taken for a to cover 42 m is 42 / 1 = 42 m so the total time taken by a and b to reach = 2 * 42 = 84 m answer : c\"" + }, + { + "Answer": 3.272727272727273, + "Options": "a ) 2 , b ) 4 / 5 , c ) 7 / 9 , d ) 36 / 11 , e ) 24 / 7", + "Correct": "d", + "Explanation": "\"a + b + c 1 day work = 1 / 18 + 1 / 6 + 1 / 12 = 11 / 36 a , b , c together will complete the job in 36 / 11 days answer is d\"" + }, + { + "Answer": 1, + "Options": "a ) 0.6 , b ) 0.8 , c ) 1 , d ) 1.2 , e ) 1.4", + "Correct": "c", + "Explanation": "the horse runs 10 miles / hour , thus it would take the horse 240 miles / 10 miles / hour to = 24 hours to run from nyc to d . c . there are 24 hours in a day , so days it take would be 24 hours / 24 hours / day = 1 day . correct option : 1" + }, + { + "Answer": 15.556799999999999, + "Options": "a ) 10.56 mps , b ) 17.56 mps , c ) 97.56 mps , d ) 15.56 mps , e ) 18.56 mps", + "Correct": "d", + "Explanation": "\"56 * 5 / 18 = 15.56 mps answer : d\"" + }, + { + "Answer": 42, + "Options": "a ) 15 , b ) 42 , c ) 44 , d ) 45 , e ) 18", + "Correct": "b", + "Explanation": "\"original number of men = 6 * 14 / ( 14 - 12 ) = 42 answer is b\"" + }, + { + "Answer": 56, + "Options": "a ) 55 , b ) 56 , c ) 57 , d ) 58 , e ) none of these", + "Correct": "b", + "Explanation": "\"solution perimeter of the plot = 2 ( 90 + 50 ) = 280 m . \u2234 number of poles = [ 280 / 5 ] = 56 m answer b\"" + }, + { + "Answer": 48, + "Options": "a ) 30 , b ) 36 , c ) 40 , d ) 48 , e ) 60", + "Correct": "d", + "Explanation": "for the 12 minutes the motor - cyclist continues to overtake the hiker , she is going at 24 miles per hour faster than the hiker . once the motor - cyclist stops , the hiker is going at 6 miles per hour while the motor - cyclist is at rest so the amount of time the hiker will take to cover the distance between them is going to be in the ratio of the relative speeds . 24 / 6 * 12 or 48 minutes answer is ( d )" + }, + { + "Answer": 17.998560115190784, + "Options": "a ) 16 seconds , b ) 76 seconds , c ) 26 seconds , d ) 12 seconds , e ) 18 seconds", + "Correct": "e", + "Explanation": "\"speed of the boat downstream = 15 + 3 = 18 kmph = 18 * 5 / 18 = 5 m / s hence time taken to cover 90 m = 90 / 5 = 18 seconds . answer : e\"" + }, + { + "Answer": 8.25, + "Options": "a ) 18 sec , b ) 12 sec , c ) 15 sec , d ) 8.25 sec , e ) none of these", + "Correct": "d", + "Explanation": "\"length of train = 12 \u00e3 \u2014 15 = 180 m . then , speed of train = 180 \u00e2 \u0081 \u201e 9 = 20 m / s now , length of train = 11 \u00e3 \u2014 15 = 165 m \u00e2 \u02c6 \u00b4 required time = 165 \u00e2 \u0081 \u201e 20 = 8.25 sec . answer d\"" + }, + { + "Answer": 233.3632, + "Options": "a ) 287 , b ) 298 , c ) 233 , d ) 726 , e ) 267", + "Correct": "c", + "Explanation": "\"d = 84 * 5 / 18 = 16 = 373 \u00e2 \u20ac \u201c 140 = 233 answer : c\"" + }, + { + "Answer": 35, + "Options": "a ) 25 kmph , b ) 20 kmph , c ) 28 kmph , d ) 35 kmph , e ) 32 kmph", + "Correct": "d", + "Explanation": "let the time taken to reach the destination be 3 x hours . total distance = 70 * 3 x = 210 x km he covered 2 / 3 * 210 x = 140 x km in 1 / 3 * 3 x = x hours so , the remaining 70 x km , he has to cover in 2 x hours . required speed = 70 x / 2 x = 35 kmph . answer : d" + }, + { + "Answer": 27.272727272727195, + "Options": "a ) 27.273 seconds , b ) 29.273 seconds , c ) 37.273 seconds , d ) 47.273 seconds , e ) 17.273 seconds", + "Correct": "a", + "Explanation": "after 60 minute rotation the minute hand will make an angle of 30 degree with hour hand . after that let the time required to make an overtake is t minute in this time angle covered by minute hand = ( 360 / 60 ) t = 6 t similarly angle covered by hour hand = ( 30 / 60 ) t = t / 2 so for overtake 6 t = 30 + t / 2 or t = 60 / 11 min = 5 min and 5 / 11 min = 5 min and 300 / 11 sec = 5 min and 27.273 sec so clock loses 27.273 seconds answer : a" + }, + { + "Answer": 12, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 14", + "Correct": "d", + "Explanation": "\"losing 10 liters per day results in a loss of 150 liters in 15 days . so , those 150 liters were for 5 days , making daily consumption of the village 30 liters per day . thus the capacity of the tank is 30 * 20 = 600 liters . losing 20 liters plus 30 liters gives 50 liters per day . at this rate the supply will last 600 / 50 = 12 days . the answer is d .\"" + }, + { + "Answer": 25, + "Options": "a ) a ) 11 , b ) b ) 18 , c ) c ) 25 , d ) d ) 29 , e ) d ) 36", + "Correct": "c", + "Explanation": "\"lets solve by creating equation . . w = 31 . . total = 50 . . not w = 50 - 31 = 19 . . now let people who were neither be x , so out of 19 who won nobel = x + 3 . . so x + x + 3 = 19 or x = 8 . . so who won nobel but not wolf = x + 3 = 11 . . but people who won both w and n = 13 . . so total who won n = 11 + 14 = 25 . . c\"" + }, + { + "Answer": 18.75, + "Options": "a ) 55 days , b ) 18.75 days , c ) 20 days , d ) 88 days , e ) 44 days", + "Correct": "b", + "Explanation": "\"15 * 25 = 20 * x = > x = 18.75 days answer : b\"" + }, + { + "Answer": 350, + "Options": "a ) 150 m , b ) 350 m , c ) 420 m , d ) 600 m , e ) 700 m", + "Correct": "b", + "Explanation": "explanation : length of the train = distance covered in crossing the post = speed \u00d7 time = speed \u00d7 18 speed of the train = 300 / 18 m / s = 50 / 3 m / s time taken to cross the platform = 39 s ( 300 + x ) / ( 50 / 3 ) = 39 s where x is the length of the platform 300 + x = ( 39 \u00d7 50 ) / 3 = 650 meter x = 650 - 300 = 350 meter answer : option b" + }, + { + "Answer": 26, + "Options": "a ) 10 , b ) 13 , c ) 14 , d ) 15 , e ) 26", + "Correct": "e", + "Explanation": "\"let the required number of days be x . less persons , more days ( indirect proportion ) more working hours per day , less days ( indirect proportion ) persons 30 : 39 : : 12 : x working hours / day 6 : 5 30 x 6 x x = 39 x 5 x 24 x = ( 39 x 5 x 24 ) / ( 30 x 6 ) x = 26 . answer : e\"" + }, + { + "Answer": 0.4, + "Options": "a ) 1 / 12 , b ) 6 / 15 , c ) 1 / 6 , d ) 1 / 3 , e ) 1 / 5", + "Correct": "b", + "Explanation": "\"the question asks : how far apart will they be 1 minute = 1 / 60 hours before they collide ? since the combined rate of the boats is 4 + 20 = 25 mph then 1 / 60 hours before they collide they ' ll be rate * time = distance - - > 24 * 1 / 60 = 6 / 15 miles apart . answer : b .\"" + }, + { + "Answer": 75, + "Options": "a ) 25 , b ) 50 , c ) 75 , d ) 80 , e ) none of them", + "Correct": "c", + "Explanation": "c ' s 1 day ' s work = 1 / 3 - ( 1 / 6 + 1 / 8 ) = 24 a : b : c = ratio of their 1 day ' s work = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 . a \u2019 s share = rs . ( 600 * 4 / 8 ) = rs . 300 , b ' s share = rs . ( 600 * 3 / 8 ) = rs . 225 . c ' s share = rs . [ 600 - ( 300 + 225 \u00bb ) = rs . 75 . answer is c" + }, + { + "Answer": 3, + "Options": "a ) 11 : 5 , b ) 3 : 1 , c ) 13 : 7 , d ) 15 : 7 , e ) 16 : 9", + "Correct": "b", + "Explanation": "\"sol . distance travelled by car a = 50 \u00d7 6 = 300 km distance travelled by car b = 100 \u00d7 1 = 100 km ratio = 300 / 100 = 3 : 1 answer : b\"" + }, + { + "Answer": 50, + "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", + "Correct": "c", + "Explanation": "explanation : we need so simple divide 42.5 / 0.85 , = ( 4250 / 85 ) = 50 option c" + }, + { + "Answer": 9.99920006399488, + "Options": "a ) 2.5 sec , b ) 12.9 sec , c ) 11.3 sec , d ) 21.9 sec , e ) 10.0 sec", + "Correct": "e", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 400 / 40 = 10.0 sec . answer : e\"" + }, + { + "Answer": 3.2, + "Options": "a ) 3.2 , b ) 4.5 , c ) 6 , d ) 6.25 , e ) 15", + "Correct": "a", + "Explanation": "distance walked in 1 hour and 15 mins = 4 miles speed per hour = distance / time = 4 / ( 5 / 4 ) = 3.2 miles per hour answer a" + }, + { + "Answer": 427.5, + "Options": "a ) 90 , b ) 120 , c ) 150 , d ) 440 , e ) 430", + "Correct": "e", + "Explanation": "2 d / 90 = 9.5 ( because time = 6 + 4.5 - 1 hrs ) = > d = 430 answer - e" + }, + { + "Answer": 7.499400047996161, + "Options": "a ) 6 sec , b ) 7.5 sec , c ) 8 sec , d ) 3 sec , e ) 10 sec", + "Correct": "b", + "Explanation": "\"d = 110 + 165 = 275 s = 132 * 5 / 18 = 110 / 3 mps t = 275 * 3 / 110 = 7.5 sec b ) 7.5 sec\"" + }, + { + "Answer": 490, + "Options": "a ) 290 sec , b ) 190 sec , c ) 199 sec , d ) 192 sec , e ) 490 sec", + "Correct": "e", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 10 ) / 20 = 500 sec . time taken by a = 500 - 10 = 490 sec . answer : e\"" + }, + { + "Answer": 49, + "Options": "a ) 38 , b ) 20 , c ) 28 , d ) 49 , e ) 10", + "Correct": "d", + "Explanation": "explanation : no explanation is available for this question ! answer : d" + }, + { + "Answer": 60, + "Options": "a ) 72 kmph , b ) 60 kmph , c ) 30 kmph , d ) 80 kmph , e ) 82 kmph", + "Correct": "b", + "Explanation": "\"s = ( 80 + 40 ) / 2 = 60 kmph answer : b\"" + }, + { + "Answer": 17.998560115190784, + "Options": "a ) 5.6 sec , b ) 8.9 sec , c ) 10.8 sec , d ) 12.6 sec , e ) 18 sec", + "Correct": "e", + "Explanation": "\"relative speed = 72 + 18 = 90 kmph * 5 / 18 = 25 m / s distance covered in crossing each other = 200 + 250 = 450 m required time = 450 * 1 / 25 = 18 sec answer is e\"" + }, + { + "Answer": 12.59899208063355, + "Options": "a ) 12.6 sec , b ) 10.1 sec , c ) 10.6 sec , d ) 10.8 sec , e ) 10.2 sec", + "Correct": "a", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 140 + 210 = 350 m . required time = 350 * 9 / 250 = 12.6 sec . answer : a\"" + }, + { + "Answer": 3, + "Options": "a ) 76 kmph , b ) 6 kmph , c ) 14 kmph , d ) 8 kmph , e ) 3 kmph", + "Correct": "e", + "Explanation": "\"speed downstream = d / t = 84 / ( 4 ) = 21 kmph speed upstream = d / t = 60 / ( 4 ) = 15 kmph the speed of the stream = ( 21 - 15 ) / 2 = 3 kmph answer : e\"" + }, + { + "Answer": 7.499400047996161, + "Options": "a ) 7 second , b ) 7.5 second , c ) 8 second , d ) 8.5 second , e ) none of these", + "Correct": "b", + "Explanation": "explanation : as we need to calculate answer in seconds , so first convert speed into meter / sec . we know 1 km / hr = 1 * ( 5 / 18 ) m / sec so , speed = 132 * ( 5 / 18 ) = 110 / 3 m / sec distance need to be covered in passing the platform = length of train + length of platform = 110 + 165 = 275 meters time = distance / speed = > time = 275 \u2217 3 / 110 = 15 / 2 = 7.5 seconds option b" + }, + { + "Answer": 3.000000000000001, + "Options": "a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15", + "Correct": "a", + "Explanation": "the combined rate of filling / emptying the tank = 1 / 10 - 1 / 6 = - 1 / 15 since the rate is negative , the tank will be emptied . a full tank would take 15 minutes to empty . since the tank is only one - fifth full , the time is ( 1 / 5 ) * 15 = 3 minutes the answer is a ." + }, + { + "Answer": 224, + "Options": "a ) 334 km . , b ) 216 km . , c ) 314 km . , d ) 224 km . , e ) 544 km .", + "Correct": "d", + "Explanation": "\"d 224 km . 0.5 x / 21 + 0.5 x / 24 = 10 - - > x / 21 + x / 24 = 20 - - > 15 x = 168 x 20 - - > x = ( 168 x 20 ) / 15 = 224 km .\"" + }, + { + "Answer": 8, + "Options": "a ) 15 kmph , b ) 11 kmph , c ) 18 kmph , d ) 8 kmph , e ) 12 kmph", + "Correct": "d", + "Explanation": "\"80 * 6 / 60 = 8 kmph answer : d\"" + }, + { + "Answer": 3.2, + "Options": "a ) 3.2 hr , b ) 3.4 hr , c ) 3.6 hr , d ) 3.8 hr , e ) 4.2 hr", + "Correct": "a", + "Explanation": "let see d / t = v then x / 20 + ( 400 - x ) / 70 = 8 x = 64 kmh t = 64 / 20 = 3.2 hr answer : a" + }, + { + "Answer": 11, + "Options": "a ) 3 , b ) 5 , c ) 11 , d ) 9 , e ) 10", + "Correct": "c", + "Explanation": "\"solution speed in still water = 1 / 2 ( 13 + 9 ) kmph . = 11 kmph . answer c\"" + }, + { + "Answer": 5, + "Options": "a ) 2 , b ) 5 , c ) 15 , d ) 20 , e ) 25", + "Correct": "b", + "Explanation": "audery and ferris collective work rate : 1 / 4 + 1 / 3 = 7 / 12 collective work time = 12 / 7 = 1.7 hrs job was actually done in = 2 ( includes breaks ) breaks = actual time taken - collective work time = 2 - 1.7 = . 3 hrs = 1 / 2 so ferrais took 6 breaks = . 3 / 6 = . 06 hrs = 5 m so answer is b ) 10 mins" + }, + { + "Answer": 30, + "Options": "a ) 10 , b ) 15 , c ) 30 , d ) 25 , e ) 30", + "Correct": "c", + "Explanation": "\"15 * 10 = 5 * x x = 30 answer : c\"" + }, + { + "Answer": 39.99640028797696, + "Options": "a ) 35 kmph , b ) 40 kmph , c ) 45 kmph , d ) 50 kmph , e ) 55 kmph", + "Correct": "b", + "Explanation": "\"let the speed of the train be x kmph speed of the train relative to man = x + 5 = ( x + 5 ) * 5 / 18 m / sec 75 / [ ( x + 5 ) * 5 / 18 ] = 6 30 ( x + 5 ) = 1350 x = 40 kmph answer is b\"" + }, + { + "Answer": 1200, + "Options": "a ) 120 , b ) 1250 , c ) 1200 , d ) 1100 , e ) 1150", + "Correct": "c", + "Explanation": "\"60 kmph consumption is 1 lt / hr so 600 km will take 10 hrs and the consumption is 10 lt for entire distance . 1 lt costs $ 60 so 10 lt costs $ 600 extra expenses for 1 hr - $ 60 10 hrs - $ 600 total expense - $ 600 + $ 600 = $ 1200 answer : c\"" + }, + { + "Answer": 5.000000000000004, + "Options": "a ) 3 % , b ) 5 % , c ) 8 % , d ) 10 % , e ) 12 %", + "Correct": "b", + "Explanation": "\"bob ' s time = 640 secs . his sis ' time = 608 secs . percent increase needed = ( 640 - 608 / 640 ) * 100 = 32 / 640 * 100 = 5 % . ans ( b ) .\"" + }, + { + "Answer": 15.8, + "Options": "a ) 10 hours , b ) 12.50 hours , c ) 15.80 hours , d ) 25 hours , e ) 1 day", + "Correct": "c", + "Explanation": "answer is ( c ) . if she is traveling at a speed of 50 miles per hour and her trip is a total of 790 miles , 790 miles divided by 50 miles per hours would equal 15.80 hours , just shy of 16 hours ." + }, + { + "Answer": 10.000000000000002, + "Options": "a ) 8 , b ) 10 , c ) 14 , d ) 16 , e ) 19", + "Correct": "b", + "Explanation": "work done by p in 1 day = 1 / 24 work done by q in 1 day = 1 / 9 work done by r in 1 day = 1 / 12 work done by q and r in 1 day = 1 / 9 + 1 / 12 = 7 / 36 work done by q and r in 3 days = 3 \u00d7 7 / 36 = 7 / 12 remaining work = 1 \u2013 7 / 12 = 5 / 12 number of days in which p can finish the remaining work = ( 5 / 12 ) / ( 1 / 24 ) = 10 b" + }, + { + "Answer": 480.0000000000002, + "Options": "a ) s . 380 , b ) s . 600 , c ) s . 420 , d ) s . 400 , e ) s . 480", + "Correct": "e", + "Explanation": "\"explanation : amount of work a can do in 1 day = 1 / 6 amount of work b can do in 1 day = 1 / 8 amount of work a + b can do in 1 day = 1 / 6 + 1 / 8 = 7 / 24 amount of work a + b + c can do = 1 / 3 amount of work c can do in 1 day = 1 / 3 - 7 / 24 = 1 / 24 work a can do in 1 day : work b can do in 1 day : work c can do in 1 day = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 amount to be paid to c = 3840 \u00d7 ( 1 / 8 ) = 480 answer : option e\"" + }, + { + "Answer": 9.99920006399488, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", + "Correct": "c", + "Explanation": "\"speed = 54 * 5 / 18 = 15 m / s time = 150 / 15 = 10 seconds the answer is c .\"" + }, + { + "Answer": 15.274285714285716, + "Options": "a ) 15.27 , b ) 16.27 , c ) 17.27 , d ) 18.27 , e ) 19.27", + "Correct": "a", + "Explanation": "\"area of circle is pi * r ^ 2 but in 10 minutes area covered is ( 10 / 60 ) * 360 = 60 degree so formula is pi * r ^ 2 * ( angle / 360 ) = 3.14 * ( 5.4 ^ 2 ) * ( 60 / 360 ) = 15.27 cm ^ 2 answer : a\"" + }, + { + "Answer": 10, + "Options": "a ) 5 minutes , b ) 10 minutes , c ) 15 minutes , d ) 18 minutes , e ) 20 minutes", + "Correct": "b", + "Explanation": "\"you may set up common equation like this : job / a + job / b + job / c = job / x memorize this universal formula , you will need it definitely for gmat . and find x from this equation in this specific case , the equation will look like this : 50 / 40 + 50 / 30 + 50 / 24 = 50 / x if you solve this equation , you get the same answer b ( 10 )\"" + }, + { + "Answer": 21, + "Options": "a ) 18 , b ) 20 , c ) 21 , d ) 24 , e ) 25", + "Correct": "c", + "Explanation": "\"35 printing presses can do 1 / 15 of the job each hour . 25 printing presses can do 5 / 7 * 1 / 15 = 1 / 21 of the job each hour . the answer is c .\"" + }, + { + "Answer": 0.9166666666666666, + "Options": "a ) 1 / 6 , b ) 1 / 4 , c ) 2 / 3 , d ) 3 / 4 , e ) 11 / 12", + "Correct": "e", + "Explanation": "so please : find the probability of the event thatnoneof the roads you pick will be at least 5 miles long and subtract from 1 to get the probability thatat least oneof the roads you pick will be at least 5 miles long : p = 1 - 1 / 3 * 1 / 4 = 11 / 12 . answer : e ." + }, + { + "Answer": 230, + "Options": "a ) 230 m , b ) 240 m , c ) 260 m , d ) 320 m , e ) 350 m", + "Correct": "a", + "Explanation": "\"speed of first train = ( 120 * 5 / 18 ) m / sec = 100 / 3 m / sec speed of other train = ( 80 * 5 / 18 ) m / sec = 200 / 9 m / sec time to cross each other = 9 sec let x be the length of 2 nd train therefore 9 = ( 270 + x ) / ( 100 / 3 + 200 / 9 ) 500 = 270 + x 230 m = x answer : a\"" + }, + { + "Answer": 15, + "Options": "a ) 16 , b ) 17 , c ) 18 , d ) 15 , e ) 14", + "Correct": "d", + "Explanation": "\"consider max starts from point a and brad starts from point b and move towards each other . assume they shall meet at point o after time ' t ' . the question asks us to find oa . from the question stem we can make out : - distance oa = 50 km - distance ob = > 3 xt = 40 - 5 xt ( i . e distance = speed x time ) = > 8 t = 40 hence t = 5 oa = 3 x 5 = 15 km answer : d\"" + }, + { + "Answer": 50, + "Options": "a ) 48 min . , b ) 50 min . , c ) 45 min . , d ) 55 min . , e ) none of these", + "Correct": "b", + "Explanation": "rest time = number of rest \u00d7 time for each rest = 4 \u00d7 5 = 20 minutes total time to cover 5 km = ( 5 \u2044 10 \u00d7 60 ) minutes + 20 minutes = 50 minutes answer b" + }, + { + "Answer": 3960, + "Options": "a ) 3120 , b ) 3330 , c ) 3540 , d ) 3750 , e ) 3960", + "Correct": "e", + "Explanation": "\"the distance the sound traveled to the man is 12 * 330 = 3960 meters the answer is e .\"" + }, + { + "Answer": 600, + "Options": "a ) 900 km , b ) 800 km , c ) 600 km , d ) 690 km , e ) 609 km", + "Correct": "c", + "Explanation": "explanation : d = 30 * 5 = 150 rs = 40 \u2013 30 = 10 t = 150 / 10 = 15 d = 40 * 15 = 600 km answer : option c" + }, + { + "Answer": 65.99424046076315, + "Options": "a ) 54 kmph , b ) 60 kmph , c ) 66 kmph , d ) 72 kmph , e ) 82 kmph", + "Correct": "c", + "Explanation": "\"speed of train relative to man : 120 / 6 * 18 / 5 km / hr = 72 km / hr let speed of train = x therefore x + 6 = 72 x = 72 - 6 x = 66 km / hr answer : c\"" + }, + { + "Answer": 25, + "Options": "a ) 15 % , b ) 25 % , c ) 35 % , d ) 45 % , e ) 55 %", + "Correct": "b", + "Explanation": "\"let ' s test x = 4 . . . . on sunday , daniel drove 64 miles at 4 miles / hour . d = ( r ) ( t ) 64 = ( 4 ) ( t ) 64 / 4 = 16 = t it takes 16 hours to drive home on monday , daniel drove the first 32 miles at ( 2 ) ( 4 ) = 8 miles / hour and the rest of the way ( 32 miles ) at 4 / 2 = 2 miles / hour d = ( r ) ( t ) 32 = ( 8 ) ( t ) 32 / 8 = 4 = t it takes 4 hours for the first part d = ( r ) ( t ) 32 = ( 2 ) ( t ) 32 / 2 = 16 = t it takes 16 hours for the second part total time to drive home on monday = 4 + 16 = 20 hours we ' re asked by what percent 20 hours is greater than 16 hours . 20 / 16 = 1.25 , so it is 25 % greater . b\"" + }, + { + "Answer": 24, + "Options": "a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28", + "Correct": "a", + "Explanation": "ans . 24 days" + }, + { + "Answer": 48, + "Options": "a ) 12 , b ) 18 , c ) 48 , d ) 20 , e ) 30", + "Correct": "c", + "Explanation": "if it takes 4 more minutes for a to print 40 pages than it takes b , it takes 5 more minutes for a to print 50 pages than it takes b . thus if b is the number of minutes than b takes to print 50 pages , we can write : 1 / b + 1 / ( b + 5 ) = 1 / 6 ( since in 1 minute , they print 1 / 6 th of the 50 page job ) 6 ( 2 b + 5 ) = b ( b + 5 ) b ^ 2 - 7 b - 30 = 0 ( b - 10 ) ( b + 3 ) = 0 b = 10 thus it takes a 15 minutes to print 50 pages and 15 * 160 / 50 = 48 minutes to print 160 pages ( answer c )" + }, + { + "Answer": 207.34511513692632, + "Options": "a ) 288 , b ) 132 , c ) 772 , d ) 207.3 , e ) 261", + "Correct": "d", + "Explanation": "\"2 * 22 / 7 * 11 = 69.1 69.1 * 3 = rs . 207.3 answer : d\"" + }, + { + "Answer": 15, + "Options": "a ) 20 min , b ) 10 min , c ) 15 min , d ) 25 min , e ) 30 min", + "Correct": "c", + "Explanation": "if 2 pipes take an hour to fill a tank , then 8 pipes will take 2 * 60 / 8 = 15 mins to dig a ditch of the same type . answer : c" + }, + { + "Answer": 2.857142857142857, + "Options": "a ) 20 / 9 , b ) 40 / 9 , c ) 40 / 14 , d ) 60 / 9 , e ) 80 / 9", + "Correct": "c", + "Explanation": "one day work of a = 1 / 4 one day work of b = 1 / 10 so one day work of a and b together = 1 / 4 + 1 / 10 = 14 / 40 so total days required = 40 / 14 answer : c" + }, + { + "Answer": 476.6666666666667, + "Options": "a ) 476.75 ft , b ) 450 ft , c ) 480 ft , d ) 490 ft , e ) 500 ft", + "Correct": "a", + "Explanation": "\"per second = > 13 * 5280 ft / 60 * 60 = 19.07 ft 25 seconds = > 19.07 * 25 = 476.75 ft answer : a\"" + }, + { + "Answer": 100, + "Options": "a ) 188 m , b ) 876 m , c ) 251 m , d ) 100 m , e ) 145 m", + "Correct": "d", + "Explanation": "\"let the length of the train be x meters and its speed be y m / sec . they , x / y = 15 = > y = x / 15 x + 100 / 40 = x / 15 x = 100 m . answer : d\"" + }, + { + "Answer": 100, + "Options": "a ) 70 , b ) 80 , c ) 90 , d ) 100 , e ) 110", + "Correct": "d", + "Explanation": "\"speed = ( 30 x ( 5 / 18 ) m / sec = ( 25 / 3 ) m / sec . length of the train = ( speed x time ) . length of the train = ( ( 25 / 3 ) x 12 ) m = 100 m d\"" + }, + { + "Answer": 9, + "Options": "a ) 9 am , b ) 12 am , c ) 10.30 am , d ) 12.30 am , e ) 11 am", + "Correct": "a", + "Explanation": "assume both trains meet after x hours after 7 am distance covered by train starting from p in x hours = 20 x km distance covered by train starting from q in ( x - 1 ) hours = 25 ( x - 1 ) total distance = 65 = > 20 x + 25 ( x - 1 ) = 65 = > 45 x = 90 = > x = 2 means , they meet after 2 hours after 7 am , ie , they meet at 9 am answer is a ." + }, + { + "Answer": 2.5000000000000004, + "Options": "a ) 30 / 12 , b ) 5 / 12 , c ) 3 / 4 , d ) 2 / 12 , e ) 3 / 5", + "Correct": "a", + "Explanation": "in first 2 hrs troy will finish 2 / 8 = 1 / 4 of work and emma will finish 2 / 6 work so total 1 / 4 + 1 / 3 = 7 / 12 work is finished and 1 - 7 / 12 = 5 / 12 work remaining . now emma will take ( 5 / 12 ) * 6 = 30 / 12 hrs to finish it . so answer is a ." + }, + { + "Answer": 0.6428571428571429, + "Options": "a ) 1 / 2 , b ) 5 / 8 , c ) 9 / 14 , d ) 16 / 21 , e ) 9 / 10", + "Correct": "c", + "Explanation": "number of hours between 8 pm to 8 am = 12 number of hours with reduced rates = ( 12 * 5 ) + ( 24 * 2 ) hours with reduced rates z / total number of hours in a week = ( 12 * 5 ) + ( 24 * 2 ) / ( 24 * 7 ) = 108 / ( 24 * 7 ) = 9 / 14 answer : c" + }, + { + "Answer": 7.353697418492236, + "Options": "a ) 7.19 , b ) 7.17 , c ) 7.2 , d ) 7.35 , e ) 7.11", + "Correct": "d", + "Explanation": "\"t = ( 121 + 165 ) / ( 75 + 65 ) * 18 / 5 t = 7.35 answer : d\"" + }, + { + "Answer": 3, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", + "Correct": "b", + "Explanation": "\"39 = 19 + 18 + 12 - 4 - 2 x 2 x = 19 + 18 + 12 - 4 - 39 = 45 - 39 = 6 x = 3 answer : b\"" + }, + { + "Answer": 142.2857142857143, + "Options": "a ) 142.286 , b ) 251.228 , c ) 34 , d ) 200 , e ) 150.627", + "Correct": "a", + "Explanation": "\"speed = 21 km / hr = 21 * ( 5 / 18 ) m / sec = 35 / 6 m / sec total distance = 700 + 130 = 830 meter time = distance / speed = 830 * ( 6 / 35 ) = 142.286 seconds . answer : a\"" + }, + { + "Answer": 1860, + "Options": "a ) rs . 1200 , b ) rs . 1500 , c ) rs . 1860 , d ) rs . 2000 , e ) none of these", + "Correct": "c", + "Explanation": "explanation : ratio of working days of a : b = 10 : 15 therefore , their wages ratio = reverse ratio = 15 : 10 therefore , a will get 15 units of ratio total ratio = 25 1 unit of ratio = 3100 / 25 = 124 so , a \u2019 s amount = 124 \u00d7 15 = rs . 1860 . answer : option c" + }, + { + "Answer": 168, + "Options": "a ) 138 , b ) 148 , c ) 150 , d ) 162 , e ) 168", + "Correct": "e", + "Explanation": "\"5 hr = 300 min . if harriet spend equal hrs on each leg she will spend 150 min on each . since speed a - b is less than speed b - a and distance on each leg is the same , time spent on a - b is more than 150 min , which mean we can eliminate ans . a , b and c . now let plug in ans . d or e and verify which one give same distance on each leg . e . t = 168 min * leg a - b - - - > d = 110.168 / 60 = 18480 / 60 * leg b - a - - - - > d = 140 * 132 / 60 = 18480 / 60 so the correct ans . ise\"" + }, + { + "Answer": 8.04, + "Options": "['a ) 8.04 kg', 'b ) 8.14 kg', 'c ) 8.24 kg', 'd ) 9.04 kg', 'e ) none of these']", + "Correct": "a", + "Explanation": "explanation : volume of the metal used in the box = external volume - internal volume = [ ( 50 x 40 x 23 ) - ( 44 x 34 x 20 ) ] cm 3 = 16080 cm 3 weight of the metal = [ ( 16080 x 0.5 ) / 1000 ] kg = 8.04 kg . answer : a" + }, + { + "Answer": 540, + "Options": "a ) 450 km , b ) 480 km , c ) 500 km , d ) 540 km , e ) 590 km", + "Correct": "d", + "Explanation": "\"speed of aeroplane = 420 kmph distance travelled in 6 hours = 420 * 6 = 2520 km speed of aeroplane to acver 2520 km in 14 / 3 = 2520 * 3 / 14 = 540 km answer : option ' d '\"" + }, + { + "Answer": 84.02817496043394, + "Options": "a ) 22 , b ) 37 , c ) 87 , d ) 84 , e ) 82", + "Correct": "d", + "Explanation": "\"let inner radius be r metres . then , 2 r = 440 ; r = = 70 m . radius of outer circle = ( 70 + 14 ) m = 84 m . answer : d\"" + }, + { + "Answer": 18, + "Options": "a ) 10 , b ) 12 , c ) 15 , d ) 16 , e ) 18", + "Correct": "e", + "Explanation": "\"( 18 \u00e3 \u2014 15 \u00e3 \u2014 12 ) / ( 5 \u00e3 \u2014 3 \u00e3 \u2014 2 ) = 18 answer is e .\"" + }, + { + "Answer": 30, + "Options": "a ) 20 , b ) 15 , c ) 30 , d ) 45 , e ) 60", + "Correct": "c", + "Explanation": "\"30 workers working already let x be the total men required to finish the task in next 40 days 2 km done hence remaining is 8 km also , work has to be completed in next 40 days ( 60 - 20 = 40 ) we know that , proportion of men to distance is direct proportion and , proportion of men to days is inverse proportion hence , x = ( 30 * 8 * 20 ) / ( 2 * 40 ) thus , x = 60 thus , more men needed to finish the task = 60 - 30 = 30 answer : c\"" + }, + { + "Answer": 0.4705882352941177, + "Options": "a ) 8 / 17 , b ) 1 / 2 , c ) 8 / 9 , d ) 9 / 8 , e ) 17 / 8", + "Correct": "a", + "Explanation": "at steel factory , let the first shift have 3 employee and each produce 3 widgets , so the total number of widgets produced by the first shift is 3 * 3 = 9 ; then the second shift would have 4 employees and each second shift employee would produce 3 * 2 / 3 = 2 widgets , so the total number of widgets produced by the second shift employees would be 4 * 2 = 8 ; the ratio of the second shift production to the total is 8 / ( 9 + 8 ) = 8 / 17 . answer : a ." + }, + { + "Answer": 8, + "Options": "a ) 8 , b ) 77 , c ) 88 , d ) 29 , e ) 21", + "Correct": "a", + "Explanation": "\"explanation : less men , means more days { indirect proportion } let the number of days be x then , 81 : 36 : : 18 : x x = 8 answer : a ) 8 days\"" + }, + { + "Answer": 30, + "Options": "a ) 20 , b ) 22 , c ) 30 , d ) 24 , e ) 25", + "Correct": "c", + "Explanation": "so , she works 30 hours in 3 days so , she works 30 hours in 2 days so in a week she works 60 hours ( 30 + 30 ) and earns $ 1800 so , hourly wage is 1800 / 60 = > 30 hence answer will be ( c ) 30" + }, + { + "Answer": 520, + "Options": "a ) 125 miles , b ) 225 miles , c ) 520 miles , d ) 425 miles , e ) 525 miles", + "Correct": "c", + "Explanation": "\"during each hour , the car travels 65 miles . for 8 hours it will travel 65 + 65 + 65 + 65 + 65 + 65 + 65 + 65 = 8 \u00d7 65 = 520 miles correct answer is c ) 520 miles\"" + }, + { + "Answer": 1880.2432031734913, + "Options": "a ) 2998 , b ) 1881 , c ) 2890 , d ) 1485 , e ) 2780", + "Correct": "b", + "Explanation": "\"22 / 7 * 14 * 3 / 2 * 3 / 2 = 99 m 2 99 * 19 = 1881 answer : b\"" + }, + { + "Answer": 6, + "Options": "a ) 7 , b ) 4 , c ) 6 , d ) 2 , e ) 7", + "Correct": "c", + "Explanation": "explanation : david and moore complete half work in 3 days = > they can complete whole work in 6 days answer : option c" + }, + { + "Answer": 16.13204276991174, + "Options": "a ) 12.9 sec , b ) 12.1 sec , c ) 17.9 sec , d ) 16.13 sec , e ) 14.9 sec", + "Correct": "d", + "Explanation": "\"speed = 54 * 5 / 18 = 15 m / sec total distance covered = 110 + 132 = 242 m . required time = 242 / 15 = 16.13 sec . answer : d\"" + }, + { + "Answer": 5, + "Options": "a ) 5 , b ) 3 , c ) 7 , d ) 1 , e ) 6", + "Correct": "a", + "Explanation": "5 x 5 = 25 25 - 5 = 20 the answer is a ." + }, + { + "Answer": 257.25, + "Options": "a ) 258 , b ) 260 , c ) 262 , d ) 264 , e ) 266", + "Correct": "a", + "Explanation": "1 / 2 * d ( 6 + 4 ) = 10290 d = 258 answer : a" + }, + { + "Answer": 0.06666666666666667, + "Options": "a ) 1 / 20 , b ) 1 / 22 , c ) 1 / 23 , d ) 1 / 25 , e ) 1 / 15", + "Correct": "e", + "Explanation": "\"probability that james and david will both be chosen out of 6 workers = ( 2 / 6 ) * ( 1 / 5 ) = 1 / 15 answer e\"" + }, + { + "Answer": 4, + "Options": "a ) 7 , b ) 8 , c ) 5 , d ) 2 , e ) 4", + "Correct": "e", + "Explanation": "\"30 - - - 6 ds = 5 ? - - - - 1 18 - - - - 6 us = 3 ? - - - - 1 m = ? m = ( 5 + 3 ) / 2 = 4 answer : e\"" + }, + { + "Answer": 3, + "Options": "a ) 3 hr , b ) 2 hr , c ) 1 hr , d ) 9 / 7 hr , e ) 5 / 3 hr", + "Correct": "a", + "Explanation": "net part filled in 1 hour = 1 / 6 + 1 / 4 - 1 / 12 = 1 / 3 the tank will be full in 3 hr answer is a" + }, + { + "Answer": 49, + "Options": "a ) 49 m 2 , b ) 50 m 2 , c ) 53.5 m 2 , d ) 55 m 2 , e ) none of these", + "Correct": "a", + "Explanation": "\"solution area of the west surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 4 \u00d7 1.25 + 6 \u00d7 1.25 ) + 6 \u00d7 4 ] m 2 = 49 m 2 . answer a\"" + }, + { + "Answer": 0.5333333333333333, + "Options": "a ) 1 / 4 , b ) 1 / 10 , c ) 7 / 15 , d ) 8 / 15 , e ) 9 / 15", + "Correct": "d", + "Explanation": "\"explanation : a ' s 1 day ' s work = 1 / 15 b ' s 1 day ' s work = 1 / 20 ( a + b ) ' s 1 day ' s work = ( 1 / 15 + 1 / 20 ) = 7 / 60 ( a + b ) ' s 4 day ' s work = 7 / 60 x 4 = 7 / 15 therefore , remaining work = 1 - 7 / 15 = 8 / 15 answer is d\"" + }, + { + "Answer": 450, + "Options": "a ) 451 times , b ) 638 times , c ) 838 times , d ) 436 times , e ) 435 times", + "Correct": "a", + "Explanation": "there are 60 minutes in an hour . in \u00be of an hour there are ( 60 * \u00be ) minutes = 45 minutes . in \u00be of an hour there are ( 60 * 45 ) seconds = 2700 seconds . light flashed for every 6 seconds . in 2700 seconds 2700 / 6 = 450 times . the count start after the first flash , the light will flashes 451 times in \u00be of an hour . answer : a" + }, + { + "Answer": 2.4, + "Options": "a ) 1.6 , b ) 1.8 , c ) 2 , d ) 2.2 , e ) 2.4", + "Correct": "e", + "Explanation": "\"both computers together process files at a rate of 240 / 12 + 240 / 3 = 20 + 80 = 100 files per hour . the time required to process 240 files is 240 / 100 = 2.4 hours the answer is e .\"" + }, + { + "Answer": 20, + "Options": "a ) 12 , b ) 15 , c ) 18 , d ) 20 , e ) 25", + "Correct": "d", + "Explanation": "\"this is a very specific format that has appeared in a handful of real gmat questions , and you may wish to learn to recognize it : here we have a * fixed * distance , and we are given the difference between the times and speeds of two things that have traveled that distance . this is one of the very small number of question formats where backsolving is typically easier than solving directly , since the direct approach normally produces a quadratic equation . say team r ' s speed was s . then team r ' s time is 300 / s . team a ' s speed was then s + 5 , and team a ' s time was then 300 / ( s + 5 ) . we need to find an answer choice for s so that the time of team a is 3 less than the time of team r . that is , we need an answer choice so that 300 / ( s + 5 ) = ( 300 / s ) - 3 . you can now immediately use number properties to zero in on promising answer choices : the times in these questions will always work out to be integers , and we need to divide 300 by s , and by s + 5 . so we want an answer choice s which is a factor of 300 , and for which s + 5 is also a factor of 300 . so you can rule out answers a and c immediately , since s + 5 wo n ' t be a divisor of 300 in those cases ( sometimes using number properties you get to the correct answer without doing any other work , but unfortunately that ' s not the case here ) . testing the other answer choices , if you try answer d , you find the time for team r is 15 hours , and for team a is 12 hours , and since these differ by 3 , as desired , d is correct .\"" + }, + { + "Answer": 160, + "Options": "a ) 140 , b ) 150 , c ) 160 , d ) 170 , e ) 180", + "Correct": "c", + "Explanation": "\"l . c . m of two numbers is given by ( product of the two numbers ) / ( h . c . f of the two numbers ) = 2560 / 16 = 160 . answer : c\"" + }, + { + "Answer": 5, + "Options": "a ) 5 kmph , b ) 6 kmph , c ) 8 kmph , d ) 1 kmph , e ) 2 kmph", + "Correct": "a", + "Explanation": "explanation : speed of the boat downstream = speed of the boat upstream \\ small \\ therefore the speed of the stream = answer : a" + }, + { + "Answer": 6, + "Options": "a ) 1.8 m , b ) 6 m , c ) 7 m , d ) 9 m , e ) 12 m", + "Correct": "b", + "Explanation": "the reason it is failing for you is that you chose incorrect numbers . if the question says it q took 7 hrs to reach from a to b and 5 hrs to reach from b to c at a constant speed . it shows that distance ab and bc should be in ratio of 7 / 5 . if you take such numbers you can solve problem . ab = 7 , bc = 5 therefore ab - bc = 2 but from question , ab - bc = m = > m = 2 now total distance = ab + bc = 12 substitute 12 to get answer in terms of m total distance = 12 = 6 m ans b" + }, + { + "Answer": 62, + "Options": "a ) 50 kmph , b ) 58 kmph , c ) 62 kmph , d ) 65 kmph , e ) 75 kmph", + "Correct": "c", + "Explanation": "relative speed = 280 / 9 m / sec = ( ( 280 / 9 ) * ( 18 / 5 ) ) kmph = 112 kmph . speed of goods train = ( 112 - 50 ) kmph = 62 kmph . answer : c ." + }, + { + "Answer": 20, + "Options": "a ) 35 , b ) 20 , c ) 45 , d ) 50 , e ) 55", + "Correct": "b", + "Explanation": "avg . speed = total distance / total time total distance = 80 miles total time = 40 / 30 + 40 / 15 = 4 avg . speed = 20 . answer - b" + }, + { + "Answer": 23.998080153587715, + "Options": "a ) 12 sec , b ) 24 sec , c ) 48 sec , d ) 60 sec , e ) none", + "Correct": "b", + "Explanation": "\"sol . relative speed = ( 45 + 30 ) km / hr = ( 75 x 5 / 18 ) m / sec = ( 125 / 6 ) m / sec . distance covered = ( 250 + 250 ) m = 1000 m . required time = ( 500 x 6 / 125 ) sec = 24 sec . answer b\"" + }, + { + "Answer": 16, + "Options": "a ) 19 , b ) 18 , c ) 16 , d ) 17 , e ) 14", + "Correct": "c", + "Explanation": "\"the reduction in speed is directly proportional to the square root of the number of compartments attached doesreductionmean amount subtracted ? or percentage decrease ? there are at least two interpretations , and the wording does not provide a clear interpretation between them . evidently what the question intends is the subtraction interpretation . what is subtracted from the speed is directly proportional to the square root of the number of compartments attached . in other words , if s = speed , and n = number of compartments , then s = 42 - k * sqrt ( n ) wherekis a constant of the proportionality . in general , if a is directly proportional to b , we can write a = k * b and solve for k . if n = 9 , then s = 24 24 = 96 - k * sqrt ( 9 ) = 96 - 3 k k = 24 now , we need to know : what value of n makes s go to zero ? 0 = 96 - 24 * sqrt ( n ) 24 * sqrt ( n ) = 96 sqrt ( n ) = 4 n = 4 ^ 2 = 16 thus , 16 is the maximum number of cars the engine can pull and still move . c\"" + }, + { + "Answer": 21.000000000000004, + "Options": "a ) 8 , b ) 21 , c ) 24 , d ) 27 , e ) 30", + "Correct": "b", + "Explanation": "c = a + b d = 3 c = 3 ( a + b ) = 4 b then b = 3 a and c = 4 a the combined rate of the four machines is a + 3 a + 4 a + 12 a = 20 a machine a can complete the work in 420 minutes , so its rate is 1 / 420 of the work per minute . the combined rate is 20 / 420 = 1 / 21 so the work will be completed in 21 minutes . the answer is b ." + }, + { + "Answer": 500, + "Options": "a ) 500 , b ) 289 , c ) 350 , d ) 882 , e ) 281", + "Correct": "a", + "Explanation": "\"speed = [ 300 / 18 ] m / sec = 50 / 3 m / sec . let the length of the platform be x meters . then , x + 300 / 48 = 50 / 3 3 ( x + 300 ) = 2400 \u00e8 x = 500 m . answer : a\"" + }, + { + "Answer": 75.006, + "Options": "a ) 100 m , b ) 75 m , c ) 120 m , d ) 50 m , e ) 70 m", + "Correct": "b", + "Explanation": "since both trains move in same direction so : average speed = 50 - 32 = 18 kmph = 5 mps speeed = length of train / time length of train = 5 * 15 = 75 m answer : b" + }, + { + "Answer": 21.42685727998903, + "Options": "a ) 21.4 sec , b ) 77 sec , c ) 25 sec , d ) 18 sec , e ) 17 sec", + "Correct": "a", + "Explanation": "\"d = 100 + 150 = 250 s = 42 * 5 / 18 = 11.7 mps t = 250 / 11.7 = 21.4 sec answer : a\"" + }, + { + "Answer": 19.99840012798976, + "Options": "a ) 10 sec , b ) 30 sec , c ) 40 sec , d ) 20 s , e ) 50 sec", + "Correct": "d", + "Explanation": "d relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 120 + 280 = 400 m . the time required = d / s = 400 / 20 = 20 s ." + }, + { + "Answer": 240, + "Options": "a ) 120 , b ) 360 , c ) 240 , d ) 182 , e ) 1000", + "Correct": "c", + "Explanation": "\"6 men 60 acres 10 days 12 men ? 20 days 60 * 12 / 6 * 20 / 10 60 * 2 * 2 60 * 4 = 240 answer : c\"" + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 5 , b ) 8 , c ) 4 , d ) 7 , e ) 6", + "Correct": "e", + "Explanation": "\"if total work is x . ram rate of working = x / 10 per day . gohul rate of working = x / 15 per day . rate of work = ( x / 10 ) + ( x / 15 ) = 30 x / 5 x = 6 days answer is option e\"" + }, + { + "Answer": 67.5, + "Options": "a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 67.5", + "Correct": "e", + "Explanation": "\"a - b = 120 miles b - c = 60 miles avg speed = 40 miles time taken for a - b 3 t and b - c be t avg speed = ( 120 + 60 ) / total time 40 = 180 / 4 t t = 67.5 b - c = 67.5 mph answer e\"" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 6 , c ) 8 , d ) 9 , e ) 12", + "Correct": "b", + "Explanation": "\"the choices give away the answer . . 36 machines take 4 hours to fill 8 standard orders . . in next eq we aredoubling the machines from 36 to 72 , but thework is not doubling ( only 1 1 / 2 times ) , = 8 * 36 / 72 * 12 / 8 = 6 ans b\"" + }, + { + "Answer": 12, + "Options": "a ) 8 , b ) 12 , c ) 18 , d ) 24 , e ) 48", + "Correct": "b", + "Explanation": "\"in : we have : 1,000 / 2 min = 500 litres per minute out : we have : 1,000 / 4 + 1,000 / 6 then do : in - out to figure out the net inflow per minute ( you get 83.3 ) . then divide the total number of litres you need ( 1,000 by that net inflow to get the minutes ) - 12 min . answer b .\"" + }, + { + "Answer": 1200, + "Options": "a ) 757 , b ) 758 , c ) 718 , d ) 1200 , e ) 738", + "Correct": "d", + "Explanation": "\"speed = [ 144 * 5 / 18 ] m / sec = 40 m / sec ; time = 1 min . = 60 sec . let the length of the train and that of the platform be x meters . then , 2 x / 60 = 40 \u00e8 x = 40 * 60 / 2 = 1200 answer : d\"" + }, + { + "Answer": 18, + "Options": "a ) 23 , b ) 18 , c ) 21 , d ) 24 , e ) 25", + "Correct": "b", + "Explanation": "\"a can finish 1 work in 30 days b can finish 1 / 1.5 work in 30 days - since a is 1.5 faster than b this means b can finish 1 work in 30 * 1.5 days = 45 days now using the awesome gmat formula when two machines work together they can finish the job in = ab / ( a + b ) = 45 * 30 / ( 45 + 30 ) = 20 * 30 / 50 = 18 days so answer is b\"" + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", + "Correct": "e", + "Explanation": "the rate of the pump + leak = 1 / 3 1 / 2 - leak ' s rate = 1 / 3 leak ' s rate = 1 / 2 - 1 / 3 = 1 / 6 the leak will empty the tank in 6 hours . the answer is e ." + }, + { + "Answer": 7.5, + "Options": "a ) 6.9 , b ) 7.2 , c ) 7.5 , d ) 7.8 , e ) 8.1", + "Correct": "c", + "Explanation": "\"the time to go 30 miles was 18 / 9 + 12 / 10 = 2 + 1.2 = 3.2 hours . the average speed for the return trip was 30 miles / 4 hours = 7.5 mph . the answer is c .\"" + }, + { + "Answer": 189.2, + "Options": "a ) 189.2 mtrs , b ) 378.4 mtrs , c ) 478.4 mtrs , d ) 488.4 mtrs , e ) 578.4 mtrs", + "Correct": "a", + "Explanation": "\"if 20 men can build a wall 66 metres long in 12 days , length of a similar wall that can be built by 86 men in 8 days = ( 66 * 86 * 8 ) / ( 12 * 20 ) = 189.2 mtrs answer : a\"" + }, + { + "Answer": 15624.999999999998, + "Options": "a ) 17725 cm , b ) 15625 cm , c ) 12786 cm , d ) 12617 cm , e ) 12187 cm", + "Correct": "b", + "Explanation": "\"number of cubes = 100 \u00e2 \u02c6 \u2014 100 \u00e2 \u02c6 \u2014 100 / 4 * 4 * 4 = 15625 note : 1 m = 100 cm answer : b\"" + }, + { + "Answer": 196, + "Options": "a ) 288 cm 2 , b ) 277 cm 2 , c ) 285 cm 2 , d ) 196 cm 2 , e ) 287 cm 2", + "Correct": "d", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 12 + 16 ) * ( 14 ) = 196 cm 2 answer : d\"" + }, + { + "Answer": 145, + "Options": "a ) 145 m , b ) 786 m , c ) 566 m , d ) 546 m , e ) 445 m", + "Correct": "a", + "Explanation": "\"speed = 58 * 5 / 18 = 145 / 9 m / sec length of the train = speed * time = 145 / 9 * 9 = 145 m answer : a\"" + }, + { + "Answer": 9, + "Options": "a ) 5 hrs , b ) 7 hrs , c ) 8 hrs , d ) 9 hrs 50 mins , e ) 9 hrs", + "Correct": "e", + "Explanation": "4 presses - 8,000 newspapers - 6 hours ; 2 presses - 4,000 newspapers - 6 hours ; ( 360 mins ) 2 presses - 6,000 newspapers - 360 / 4000 * 6000 = 540 mins = 9 hrs answer : e" + }, + { + "Answer": 40, + "Options": "a ) a ) 35 , b ) b ) 40 , c ) c ) 90 , d ) d ) 88 , e ) e ) 37", + "Correct": "b", + "Explanation": "let the number of correct answers be x . number of incorrect answers = ( 60 \u2013 x ) . 3 x \u2013 ( 30 \u2013 x ) = 130 = > 4 x = 160 = > x = 40 answer : b" + }, + { + "Answer": 2, + "Options": "a ) 2.0 , b ) 2.5 , c ) 3.0 , d ) 3.5 , e ) 4.0", + "Correct": "a", + "Explanation": "72 km / hr = 1.2 km / min the total distance is 2.4 km . 2.4 / 1.2 = 2 minutes the answer is a ." + }, + { + "Answer": 2000, + "Options": "a ) 1888 , b ) 2766 , c ) 2999 , d ) 2000 , e ) 1712", + "Correct": "d", + "Explanation": "2000 - - - - 40 2000 - - - - 20 x - - - - - 10 x * 10 = 2000 * 20 x = 4000 2000 - - - - - - - 2000 answer : d" + }, + { + "Answer": 400, + "Options": "a ) 127 , b ) 237 , c ) 387 , d ) 400 , e ) 481", + "Correct": "d", + "Explanation": "\"explanation : let the required no of hectares be x . then men - - - hectares - - - days 9 - - - - - - - - - 80 - - - - - - - - - 24 36 - - - - - - - - - x - - - - - - - - - 30 more men , more hectares ( direct proportion ) more days , more hectares ( direct proportion ) x = 36 / 9 * 30 / 24 * 80 x = 400 answer : d\"" + }, + { + "Answer": 8.007279344858963, + "Options": "a ) 8 , b ) 27 , c ) 10 , d ) 7 , e ) 19", + "Correct": "a", + "Explanation": "\"2 * 22 / 7 * 21 * x = 1056 = > x = 8 answer : a\"" + }, + { + "Answer": 40.410000000000004, + "Options": "a ) 32.7 , b ) 41 , c ) 50.29 , d ) 40.41 , e ) 20.28", + "Correct": "d", + "Explanation": "\"speed = 40 km / hr = 40 * ( 5 / 18 ) m / sec = 100 / 9 m / sec total distance = 327 + 122 = 449 meter time = distance / speed = 449 * ( 9 / 100 ) = 40.41 seconds . answer : d\"" + }, + { + "Answer": 90, + "Options": "a ) 15 , b ) 60 , c ) 75 , d ) 90 , e ) 105", + "Correct": "d", + "Explanation": "this type of questions should be solved without any complex calculations as these questions become imperative in gaining that extra 30 - 40 seconds for a difficult one . teena covers 55 miles in 60 mins . coe covers 40 miles in 60 mins so teena gains 15 miles every 60 mins teena need to cover 7.5 + 15 miles . teena can cover 7.5 miles in 30 mins teena will cover 15 miles in 60 mins so answer 30 + 60 = 90 mins . d" + }, + { + "Answer": 100, + "Options": "a ) 60 m , b ) 20 m , c ) 43 m , d ) 20 m , e ) 100 m", + "Correct": "e", + "Explanation": "\"to reach the winning post a will have to cover a distance of ( 500 - 300 ) m , i . e . , 200 m . while a covers 2 m , b covers 4 m . while a covers 200 m , b covers 4 x 200 / 2 m = 400 m . thus , when a reaches the winning post , b covers 400 m and therefore remains 100 m behind . a wins by 100 m . answer : e\"" + }, + { + "Answer": 12.000000000000002, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", + "Correct": "b", + "Explanation": "part filled a in 1 hr = ( 1 / 16 ) part filled b in 1 hr = ( 1 / 24 ) part filled by ( a + b ) together in 1 hr = ( 1 / 16 ) + ( 1 / 24 ) = 5 / 48 so , the tank will be full in 48 / 5 hrs time taken to fill exact quarter tank = ( 48 / 5 ) * ( 5 / 4 ) = 12 hrs answer : b" + }, + { + "Answer": 9.999999999999998, + "Options": "a ) 5 km , b ) 7 km , c ) 9 km , d ) 10 km , e ) 12 km", + "Correct": "d", + "Explanation": "explanation : solution : average speed = 2 xy / ( x + y ) km / hr = ( 2 * 12.5 * 2 ) / ( 12.5 + 2 ) km / hr = 50 / 14.5 km / hr . total distance = ( 50 / 14.5 * 29 / 5 ) km . = 20 km . required distance = 20 / 2 = 10 km . answer : d" + }, + { + "Answer": 1484.4025288211774, + "Options": "a ) 2998 , b ) 2799 , c ) 2890 , d ) 1485 , e ) 2780", + "Correct": "d", + "Explanation": "\"22 / 7 * 14 * 3 / 2 * 3 / 2 = 99 m 2 99 * 15 = 1485 answer : d\"" + }, + { + "Answer": 3200, + "Options": "a ) 8600 litres , b ) 3200 litres , c ) 12800 litres , d ) 11200 litres , e ) 13200 litres", + "Correct": "b", + "Explanation": "let the rate of outlet pipe be x liters / hour ; rate of inlet pipe is 8 litres / min , or 4 * 60 = 240 liters / hour ; net outflow rate when both pipes operate would be x - 240 liters / hour . capacity of the tank = x * 5 hours = ( x - 240 ) * ( 5 + 3 ) hours 5 x = ( x - 240 ) * 8 - - > x = 640 - - > capacity = 5 x = 3200 liters . answer : b ." + }, + { + "Answer": 50, + "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 50 %", + "Correct": "e", + "Explanation": "\"answer : e 180 \u00b0 divided by 360 \u00b0 equals 0.5 , therefore the sector is equal to 50 % of the total\"" + }, + { + "Answer": 7.999360051195905, + "Options": "a ) 18 seconds , b ) 27 seconds , c ) 26 seconds , d ) 12 seconds , e ) 8 seconds", + "Correct": "e", + "Explanation": "\"speed of the boat downstream = 25 + 11 = 36 kmph = 36 * 5 / 18 = 10 m / s hence time taken to cover 80 m = 80 / 10 = 8 seconds . answer : e\"" + }, + { + "Answer": 9.600000000000001, + "Options": "a ) 9.6 days , b ) 7.6 days , c ) 4 days , d ) 8.6 days , e ) 6.6 days", + "Correct": "a", + "Explanation": "work done by a and b in the first two hours , working alternately = first hour a + second hour b = 1 / 8 + 1 / 12 = 5 / 24 . total time required to complete the work = 2 * 24 / 5 = 9.6 days . answer : a" + }, + { + "Answer": 0.06666666666666665, + "Options": "a ) 1 / 15 , b ) 1 / 16 , c ) 1 / 11 , d ) 1 / 10 , e ) 1 / 12", + "Correct": "a", + "Explanation": "part of the filled by all the three pipes in one minute = 1 / 18 + 1 / 30 - 1 / 45 = 1 / 15 so , the tank becomes full in 15 minutes . answer : a" + }, + { + "Answer": 54, + "Options": "a ) 24 , b ) 34 , c ) 44 , d ) 54 , e ) 64", + "Correct": "d", + "Explanation": "\"the product of two integers is equal to the product of their lcm and gcf . hence . 16 \u00d7 n = 48 \u00d7 18 n = 48 \u00d7 18 / 16 = 54 correct answer d\"" + }, + { + "Answer": 50, + "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", + "Correct": "c", + "Explanation": "we can use a form of the equation d = rt [ distance = rate * time ] train a will have traveled for 30 minutes longer when train b overtakes it so time of train a : t + 30 minutes = t + 1 / 2 hours ( switch to hours since the rates are in hours ) time of train b : t rate of train a : 50 mph rate of train b : 80 mph the distance traveled by each will be the same when b overtakes a so set the right side of d = rt equal to each other for the two trains 50 * ( t + 1 / 2 ) = 80 * t 50 t + 25 = 80 t 25 = 30 t 25 / 30 = t 5 / 6 hours = t which is 5 / 6 * 60 = 50 minutes c" + }, + { + "Answer": 100, + "Options": "a ) 5 , b ) 100 , c ) 16 , d ) 20 , e ) 25", + "Correct": "b", + "Explanation": "the prompt is essentially asking for the maximum number of 2 x 2 squares that can be cut from a larger 20 by 20 square . since each ' row ' and each ' column ' of the larger square can be sub - divided into 10 ' pieces ' each , we have ( 10 ) ( 10 ) = 100 total smaller squares ( at maximum ) . b" + }, + { + "Answer": 3.5997120230381574, + "Options": "a ) 1 second , b ) 2.5 second , c ) 4 second , d ) 3.6 second , e ) 4.5 second", + "Correct": "d", + "Explanation": "in order to cross the pole , the train will need to cover its own length of 100 meter . to cover 100 x 1000 meter , train takes 60 minutes or 60 x 60 = 3600 second . so , to cover 100 meter , train would take 3600 x 100 / 100 x 1000 = 3.6 second . answer : d ." + }, + { + "Answer": 17.998560115190788, + "Options": "a ) 5 , b ) 6 , c ) 7 , d ) 18 , e ) 9", + "Correct": "d", + "Explanation": "\"speed of train relative to man = 60 + 6 = 66 km / hr . = 66 * 5 / 18 = 55 / 3 m / sec . time taken to pass the men = 330 * 3 / 55 = 18 sec . answer : option d\"" + }, + { + "Answer": 9, + "Options": "a ) 3 , b ) 76 , c ) 8 , d ) 9 , e ) 10", + "Correct": "d", + "Explanation": "explanation : the sum of three consecutive integers can be written as n + ( n + 1 ) + ( n + 2 ) = 3 n + 3 if the sum is 24 , we need to solve the equation 3 n + 3 = 24 ; = > 3 n = 21 ; = > n = 7 the greatest of the three numbers is therefore 7 + 2 = 9 answer : d ) 9" + }, + { + "Answer": 6, + "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", + "Correct": "c", + "Explanation": "\"360 / 10 = 36 . the difference is 36 - 30 = 6 . answer c\"" + }, + { + "Answer": 2933.3333333333335, + "Options": "a ) 4500 , b ) 2678 , c ) 2933 , d ) 2761 , e ) 2882", + "Correct": "c", + "Explanation": "( 2000 * 4 * 22 ) / 60 = 2933 m 3 answer : c" + }, + { + "Answer": 36, + "Options": "a ) 26 , b ) 48 , c ) 47 , d ) 36 , e ) 25", + "Correct": "d", + "Explanation": "\"explanation : relative speed = 110 + 90 = 200 km / hr ( since both trains are moving in opposite directions ) total distance = 1.1 + . 9 = 2 km time = 2 / 200 hr = 1 / 100 hr = 3600 / 100 = 36 seconds answer : option d\"" + }, + { + "Answer": 2.1999999999999997, + "Options": "a ) 2.19 km , b ) 2.22 km , c ) 2.00 km , d ) 1.19 km , e ) 1.99 km", + "Correct": "a", + "Explanation": "\"d = product of speed difference of time / difference of speed d = 3 x 6 / 60 [ 12 \u00e2 \u02c6 \u2019 ( \u00e2 \u02c6 \u2019 10 ) / 6 - 3 ] [ here , \u00e2 \u20ac \u201c ve sign indicates before the schedule time ] \u00e2 \u2021 \u2019 d = 2.19 km answer a\"" + }, + { + "Answer": 15, + "Options": "a ) 15 mins , b ) 12 mins , c ) 13 mins , d ) 17 mins , e ) 20 mins", + "Correct": "a", + "Explanation": "correct answer : a put up both hour glasses . time starts when 7 min hourglass turns empty . and 11 min hourglass will run for 4 min . now flip 11 min hour glass upside down as soon as it runs empty . it will be empty in another 11 mins . and time is up . so 4 + 11 = 15 mins" + }, + { + "Answer": 28.000000000000004, + "Options": "a ) 5 , b ) 12 , c ) 18 , d ) 24 , e ) 28", + "Correct": "e", + "Explanation": "\"1 . we need to find out the time taken by 3 workers after day 1 . 2 . total no . of wokers * total time taken = time taken by 1 worker 3 . time taken by 1 worker = 12 * 8 = 96 days 4 . but on day 1 twelve workers had already worked finishing 1 / 8 of the job . so 3 workers have to finish only 7 / 8 of the job . 5 . total time taken by 3 workers can be got from formula used at ( 2 ) . i . e . , 3 * total time taken = 96 . total time taken by 3 workers to finish the complete job is 96 / 3 = 32 days . 6 . time taken by 6 workers to finish 7 / 8 of the job is 7 / 8 * 32 = 28 days . the answer is choice e\"" + }, + { + "Answer": 5, + "Options": "a ) 5 km / hr , b ) 1 km / hr , c ) 6 km / hr , d ) 3 km / hr , e ) 7 km / hr", + "Correct": "a", + "Explanation": "a 5 km / hr let abhay ' s speed be x km / / hr . then , 30 / x - 30 / 2 x = 3 x = 5 km / hr ." + }, + { + "Answer": 0.7999999999999999, + "Options": "a ) 0.8 kmph , b ) 9.9 kmph , c ) 1.3 kmph , d ) 1.2 kmph , e ) 5.7 kmph", + "Correct": "a", + "Explanation": "\"8 / 36 m / s = 8 / 36 * 18 / 5 = 8 / 10 = 0.8 kmph . answer : a\"" + }, + { + "Answer": 14.142135623730951, + "Options": "a ) 11.11 , b ) 10 , c ) 14.14 , d ) 16.15 , e ) 1", + "Correct": "c", + "Explanation": "as we can see the man moves in configuration of a right angle triangle . the man has walked on the sides and now we need to calculate the length of the hypotenuse which is the distance of the man from the starting point to his current location . since we know the length of two sides , we can find the length of hypotenuse . as per pythagoras : a ^ 2 + b ^ 2 = c ^ 2 a = 10 b = 10 10 ^ 2 + 10 ^ 2 = c ^ 2 100 + 100 = c ^ 2 200 = c ^ 2 c = squareroot 200 c = 14.14 miles ans : c" + }, + { + "Answer": 5, + "Options": "a ) 2 , b ) 4 , c ) 5 , d ) 8 , e ) 10", + "Correct": "c", + "Explanation": "\"300 / 10 = 30 . the difference is 30 - 25 = 5 . answer c\"" + }, + { + "Answer": 200.00000000000006, + "Options": "a ) 286 m , b ) 350 m , c ) 200 m , d ) 278 m , e ) 267 m", + "Correct": "c", + "Explanation": "\"speed = 300 / 18 = 50 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 30 = 50 / 3 x = 200 m . answer : c\"" + }, + { + "Answer": 5.4995600351971845, + "Options": "a ) 5 , b ) 6 , c ) 4 , d ) 8.2 , e ) 5.5", + "Correct": "e", + "Explanation": "\"speed of train relative to man = 65 + 7 = 72 km / hr . = 72 * 5 / 18 = 20 m / sec . time taken to pass the men = 110 * 1 / 20 = 5.5 sec . answer : option e\"" + }, + { + "Answer": 0.5333333333333333, + "Options": "a ) 1 / 4 , b ) 1 / 10 , c ) 7 / 15 , d ) 8 / 15 , e ) 9 / 13", + "Correct": "d", + "Explanation": "\"explanation : a \u2019 s one day work = 1 / 15 b \u2019 s one day work = 1 / 20 ( a + b ) \u2019 s one day work is = 1 / 15 + 1 / 20 = 7 / 60 their 4 days work = 4 x 7 / 60 = 7 / 15 remaining work = 8 / 15 answer : option d\"" + }, + { + "Answer": 18, + "Options": "a ) 18 hours , b ) 15 hours , c ) 10 hours , d ) 12 hours , e ) 8 hours", + "Correct": "a", + "Explanation": "\"part filled by a in 1 hour = 1 / 30 part filled by b in 1 hour = 1 / 45 part filled by ( a + b ) in 1 hour = 1 / 30 + 1 / 45 = 5 / 90 = 1 / 18 both the pipes together fill the tank in 18 hours answer is a\"" + }, + { + "Answer": 0.1111111111111111, + "Options": "a ) 2 / 5 , b ) 1 / 6 , c ) 1 / 4 , d ) 1 / 9 , e ) 2 / 6", + "Correct": "d", + "Explanation": "\"a ' s one day ' s work = 1 / 30 b ' s one day ' s work = 1 / 45 ( a + b ) ' s one day ' s work = 1 / 30 + 1 / 45 = 1 / 18 the part of the work completed in 2 days = 2 ( 1 / 18 ) = 1 / 9 . answer d\"" + }, + { + "Answer": 21, + "Options": "a ) 9 , b ) 8 , c ) 10 , d ) 8.5 , e ) 21", + "Correct": "e", + "Explanation": "\"63 / 3 = 21 answer : e\"" + }, + { + "Answer": 3000, + "Options": "a ) 3000 m 3 , b ) 4580 m 3 , c ) 18500 m 3 , d ) 4900 m 3 , e ) 4700 m 3", + "Correct": "a", + "Explanation": "\"explanation : ( 2000 * 2 * 45 ) / 60 = 3000 m 3 answer : option a\"" + }, + { + "Answer": 200, + "Options": "a ) 200 m , b ) 250 m , c ) 300 m , d ) 350 m , e ) 400 m", + "Correct": "a", + "Explanation": "\"speed = ( 30 * 5 / 18 ) m / sec = ( 25 / 3 ) m / sec length of the train = ( speed x time ) = ( 25 / 3 * 24 ) m = 200 m . answer : a\"" + }, + { + "Answer": 275, + "Options": "a ) 225 , b ) 245 , c ) 275 , d ) 325 , e ) 375", + "Correct": "c", + "Explanation": "\"45 km / h = 45000 m / 3600 s = 12.5 m / s in 30 seconds , the train can go 30 ( 12.5 ) = 375 meters let x be the length of the bridge . x + 100 = 375 meters x = 275 meters the answer is c .\"" + }, + { + "Answer": 6.4, + "Options": "a ) 4 minutes , b ) 32 / 7 minutes , c ) 192 / 7 minutes , d ) 224 / 7 minutes , e ) 32 / 5 minutes", + "Correct": "e", + "Explanation": "pipe a can fill a tank in 32 minutes - - > the rate of a = 1 / 32 tank / minute ; pipe b can fill the same tank 3 times fasterthan pipe a - - > the rate of b = 1 / 32 + 3 / 32 = 4 / 32 tank / minute . their combined rate = 1 / 32 + 4 / 32 = 5 / 32 tank / minute ; therefore , a and b can fill the tank in 32 / 5 minutes . answer : e" + }, + { + "Answer": 11.999040076793857, + "Options": "a ) 5.6 sec , b ) 8.9 sec , c ) 10.8 sec , d ) 12 sec , e ) 15 sec", + "Correct": "d", + "Explanation": "\"relative speed = 68 + 40 = 108 kmph * 5 / 18 = 30 m / s distance covered in crossing each other = 200 + 160 = 360 m required time = 360 * 1 / 30 = 12 sec answer is d\"" + }, + { + "Answer": 8, + "Options": "a ) 15 sec , b ) 16 sec , c ) 18 sec , d ) 11 sec , e ) 8 sec", + "Correct": "e", + "Explanation": "\"speed = 63 * 5 / 18 = 35 / 2 m / sec time taken = 140 * 2 / 35 = 8 sec answer : e\"" + }, + { + "Answer": 6, + "Options": "a ) 5 min , b ) 2 min , c ) 6 min , d ) 1 min , e ) 10 min", + "Correct": "c", + "Explanation": "\"full cistern filled in = 66 minutes 1 / 11 part filled in = 66 * 1 / 11 = 6 minutes answer is c\"" + }, + { + "Answer": 110, + "Options": "a ) 110 , b ) 887 , c ) 167 , d ) 197 , e ) 161", + "Correct": "a", + "Explanation": "\"length of the train be \u2018 x \u2019 x + 160 / 15 = x + 250 / 20 20 x + 3200 = 15 x + 3750 5 x = 550 x = 110 m answer : a\"" + }, + { + "Answer": 6.4, + "Options": "['a ) 2.5', 'b ) 3.0', 'c ) 4.0', 'd ) 6.4', 'e ) 8.0']", + "Correct": "d", + "Explanation": "let initial volume of ice be = x ice remaining after 1 hour = x - 0.75 x = 0.25 x ice remaining after 2 hour = ( 1 / 4 ) x - ( 3 / 4 * 1 / 4 * x ) = ( 1 / 16 ) x ( 1 / 16 ) x = 0.4 x = 6.4 alternate solution : try to backsolve . initial volume = 6.4 after one hour - - > ( 1 / 4 ) 6.4 = 1.6 after two hours - - > ( 1 / 4 ) 1.6 = 0.4 answer : d" + }, + { + "Answer": 35, + "Options": "a ) 79 kmph , b ) 85 kmph , c ) 35 kmph , d ) 23 kmph , e ) 14 kmph", + "Correct": "c", + "Explanation": "\"s = ( 10 + 60 ) / 2 = 35 kmph answer : c\"" + }, + { + "Answer": 60, + "Options": "a ) 35 kmph , b ) 48 kmph , c ) 52 kmph , d ) 54 kmph , e ) 60 kmph", + "Correct": "e", + "Explanation": "\"time = 6 distance = 540 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 540 / 9 = 60 kmph e )\"" + }, + { + "Answer": 26.997840172786177, + "Options": "a ) 18.9 sec , b ) 88.9 sec , c ) 22.9 sec , d ) 27.00 sec , e ) 72.0 sec", + "Correct": "d", + "Explanation": "\"d = 110 + 340 = 450 m s = 60 * 5 / 18 = 50 / 3 t = 450 * 3 / 50 = 27.00 sec answer : d\"" + }, + { + "Answer": 70, + "Options": "['a ) 55', 'b ) 70', 'c ) 57', 'd ) 58', 'e ) none of these']", + "Correct": "b", + "Explanation": "solution perimeter of the plot = 2 ( 90 + 50 ) = 280 m . \u2234 number of poles = [ 280 / 4 ] = 70 m answer b" + }, + { + "Answer": 12.00482999321725, + "Options": "['a ) 10', 'b ) 11', 'c ) 12', 'd ) 13', 'e ) none of them']", + "Correct": "c", + "Explanation": "let the depth of the tank be h meters . then , \u220f x 72 x h = 1848 \uf0de h = ( 1848 x ( 7 / 22 ) x ( 1 / 49 ) = 12 m answer is c" + }, + { + "Answer": 800.064, + "Options": "a ) 800 , b ) 125 , c ) 288 , d ) 266 , e ) 121", + "Correct": "a", + "Explanation": "\"d = 160 * 5 / 18 * 18 = 800 m answer : a\"" + }, + { + "Answer": 334.8, + "Options": "a ) rs . 234.80 , b ) rs . 334.80 , c ) rs . 434.80 , d ) rs . 534.80 , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : area to be plastered = [ 2 ( l + b ) \u00e3 \u2014 h ] + ( l \u00e3 \u2014 b ) = [ 2 ( 25 + 12 ) \u00e3 \u2014 6 ] + ( 25 \u00e3 \u2014 12 ) = 744 sq m cost of plastering = 744 \u00e3 \u2014 ( 45 / 100 ) = rs . 334.80 answer : b\"" + }, + { + "Answer": 15, + "Options": "a ) 6 , b ) 15 , c ) 17 , d ) 18 , e ) 2", + "Correct": "b", + "Explanation": "\"speed downstream = d / t = 120 / ( 2 ) = 60 kmph speed upstream = d / t = 60 / ( 2 ) = 30 kmph the speed of the stream = ( 60 - 30 ) / 2 = 15 kmph answer : b\"" + }, + { + "Answer": 63, + "Options": "a ) 54 , b ) 66 , c ) 68 , d ) 60 , e ) 63", + "Correct": "e", + "Explanation": "\"e 63 it takes 3 hours for the friends to meet ; so the pigeon flies for 3 hours at 21 mph = 63 miles\"" + }, + { + "Answer": 107, + "Options": "a ) 104 kmph , b ) 176 kmph , c ) 298 kmph , d ) 186 kmph , e ) 107 kmph", + "Correct": "e", + "Explanation": "642 / 6 = 107 kmph answer : e" + }, + { + "Answer": 8.75, + "Options": "a ) 9.75 , b ) 5.75 , c ) 8.75 , d ) 6.75 , e ) 5.15", + "Correct": "c", + "Explanation": "\"explanation : speed downstream = ( 20 + 5 ) kmph = 25 kmph distance travelled = ( 25 * ( 21 / 60 ) ) km = 8.75 km . answer : c\"" + }, + { + "Answer": 22754.285714285714, + "Options": "a ) 22754.3 , b ) 22254.2 , c ) 25754.2 , d ) 22753.2 , e ) 22254.2", + "Correct": "a", + "Explanation": "2 * 22 / 7 * 3.62 * x = 22754.3 x = 1000 answer : a" + }, + { + "Answer": 900, + "Options": "a ) 350 m , b ) 200 m , c ) 400 m , d ) 900 m , e ) none of them", + "Correct": "d", + "Explanation": "\"relative speed of the policeman = ( 10 - 8 ) km / hr = 2 km / hr . time taken by police man to cover ( 225 m / 1000 ) x 1 / 2 hr = 9 / 80 hr . in 9 / 80 hrs , the thief covers a distance of 8 x 9 / 80 km = 9 / 10 km = 900 m answer is d .\"" + }, + { + "Answer": 11, + "Options": "a ) 12 , b ) 10 , c ) 9 , d ) 8 , e ) 11", + "Correct": "e", + "Explanation": "so , she works 27 hours in 3 days so , she works 10 hours in 2 days so in a week she works 37 hours ( 27 + 10 ) and earns $ 407 so , hourly wage is 407 / 37 = > 11 hence answer will be ( e ) 11" + }, + { + "Answer": 121, + "Options": "a ) 121 , b ) 123 , c ) 119 , d ) 125 , e ) 127", + "Correct": "a", + "Explanation": "\"22 * 55 = 10 * x x = 121 days answer : a\"" + }, + { + "Answer": 3, + "Options": "a ) 2 , b ) 2.4 , c ) 2.7 , d ) 3 , e ) 3.5", + "Correct": "d", + "Explanation": "\"both computers together process files at a rate of 240 / 12 + 240 / 4 = 20 + 60 = 80 files per hour . the time required to process 240 files is 240 / 80 = 3 hours the answer is d .\"" + }, + { + "Answer": 66, + "Options": "a ) 60 m 2 , b ) 64 m 2 , c ) 68 m 2 , d ) 66 m 2 , e ) none of these", + "Correct": "d", + "Explanation": "\"required area covered in 5 revolutions = 5 \u00e3 \u2014 2 \u00ef \u20ac rh = 5 \u00e3 \u2014 2 \u00e3 \u2014 22 \u00e2 \u0081 \u201e 7 \u00e3 \u2014 0.7 \u00e3 \u2014 3 = 66 m 2 answer d\"" + }, + { + "Answer": 47.99712023038157, + "Options": "a ) 19 , b ) 27 , c ) 29 , d ) 48 , e ) 28", + "Correct": "d", + "Explanation": "\"let the length of the train be x m . when a train crosses an electric pole , the distance covered is its own length . so , x = 12 * 36 * 5 / 18 m = 120 m . time taken to cross the platform = ( 120 + 360 ) / 36 * 5 / 18 = 48 min . answer : d\"" + }, + { + "Answer": 41.42857142857143, + "Options": "a ) 41.4 , b ) 34.1 , c ) 13.4 , d ) 12.4 , e ) 10.8", + "Correct": "a", + "Explanation": "break down the problem into two pieces : typing and editing . mary needs 30 hours to type the report - - > mary ' s typing rate = 1 / 30 ( rate reciprocal of time ) ( point 1 in theory below ) ; mary and jim can type up a report in 12.5 and - - > 1 / 30 + 1 / x = 1 / 12.5 = 2 / 25 ( where x is the time needed for jim to type the report alone ) ( point 23 in theory below ) - - > x = 150 / 7 ; jim needs 12 hours to edit the report - - > jim ' s editing rate = 1 / 12 ; mary and jim can edit a report in 7.5 and - - > 1 / y + 1 / 12 = 1 / 7.5 = 2 / 15 ( where y is the time needed for mary to edit the report alone ) - - > y = 20 ; how many q hours will it take if jim types the report and mary edits it immediately after he is done - - > x + y = 150 / 7 + 20 = ~ 41.4 answer : a ." + }, + { + "Answer": 150, + "Options": "a ) 150 m , b ) 899 m , c ) 200 m , d ) 166 m , e ) 187 m", + "Correct": "a", + "Explanation": "\"2 ( l + 150 ) = 600 = > l = 150 m answer : a\"" + }, + { + "Answer": 5.4995600351971845, + "Options": "a ) 4.31 , b ) 6.75 , c ) 7.92 , d ) 5.5 , e ) 6.5", + "Correct": "d", + "Explanation": "speed of train relative to trolley = 60 + 12 = 72 km / hr . = 72 * 5 / 18 = 20 m / sec . time taken to pass the trolley = 110 * 1 / 20 = 5.5 sec . answer : d" + }, + { + "Answer": 22.5, + "Options": "a ) 20 hours , b ) 22.5 hours , c ) 23 hours , d ) 23.5 hours , e ) 24 hours", + "Correct": "b", + "Explanation": "\"let the required hours needed be x more pumps , less hours ( indirect proportion ) more days , less hours ( indirect proportion ) hence we can write as ( pumps ) 5 : 6 } : : x : 9 ( days ) 3 : 1 = > 5 * 3 * 9 = 6 * 1 * x = > x = 45 / 2 = > 22.5 answer : b\"" + }, + { + "Answer": 24.000000000000007, + "Options": "a ) 24 hours , b ) 20 hours , c ) 34 hours , d ) 12 hours , e ) 10 hours", + "Correct": "a", + "Explanation": "x ' s 1 hour work = 1 / 8 ( y + z ) ' s 1 hour work = 1 / 6 ( x + z ) ' s 1 hour work = 1 / 4 ( x + y + z ) ' s 1 hour work = ( 1 / 8 + 1 / 6 ) = 7 / 24 y ' s 1 hour ' s work = ( 7 / 24 - 1 / 4 ) = 1 / 24 y alone will take 24 hours to do the work . correct option is a" + }, + { + "Answer": 60, + "Options": "a ) 65 km , b ) 55 km , c ) 15 km , d ) 60 km , e ) 75 km", + "Correct": "d", + "Explanation": "explanation : total distance = distance traveled by person a + distance traveled by person b = ( 6 \u00d7 4 ) + ( 9 \u00d7 4 ) = 24 + 36 = 60 km answer : d" + }, + { + "Answer": 720, + "Options": "a ) 400 cm cube , b ) 410 cm cube , c ) 720 cm cube , d ) 730 cm cube , e ) 480 cm cube", + "Correct": "c", + "Explanation": "\"area of a cuboid = lxbxh = 12 cm x 6 cm x 10 cm = 720 cm cube answer : c\"" + }, + { + "Answer": 2.6666666666666665, + "Options": "a ) 6 / 5 , b ) 7 / 4 , c ) 8 / 3 , d ) 9 / 2 , e ) 12 / 5", + "Correct": "c", + "Explanation": "the combined rate is 1 / 6 + 1 / 12 + 1 / 8 = 9 / 24 of the job per hour . the time to complete the job is 24 / 9 = 8 / 3 hours . the answer is c ." + }, + { + "Answer": 700, + "Options": "a ) 700 m , b ) 500 m , c ) 670 m , d ) 700 m , e ) 640 m", + "Correct": "d", + "Explanation": "\"distance covered by amar = 21 / 54 ( 1.8 km ) = 7 / 18 ( 1800 ) = 700 m answer : d\"" + }, + { + "Answer": 3, + "Options": "a ) 7 h , b ) 3 h , c ) 4 h , d ) 2 h , e ) 9 h", + "Correct": "b", + "Explanation": "explanation : upstream speed = b - s downstream speed = b + s b - s = 15 / 5 = 3 km / h again b = 4 s therefore b - s = 3 = 3 s = > s = 1 and b = 4 km / h therefore b + s = 5 km / h therefore , time during downstream = 15 / 5 = 3 h answer : b" + }, + { + "Answer": 425.80645161290323, + "Options": "a ) 415.8 km , b ) 425.8 km , c ) 435.8 km , d ) 445.8 km , e ) 455.8 km", + "Correct": "b", + "Explanation": "let distance b / w calcutta to kanyakumari is = x km then eqn is x / 44 - x / 75 = 4 = > x * ( 75 - 44 ) = 4 * 75 * 44 = > x = 425.8 km answer : b" + }, + { + "Answer": 32, + "Options": "a ) 18 days , b ) 32 days , c ) 42 days , d ) 48 days , e ) 44 days", + "Correct": "b", + "Explanation": "\"8 * 80 = 20 * x x = 32 days answer : b\"" + }, + { + "Answer": 24000, + "Options": "a ) 22877 , b ) 24000 , c ) 20000 , d ) 27999 , e ) 17799", + "Correct": "b", + "Explanation": "\"number of bricks = courtyard area / 1 brick area = ( 3000 \u00d7 1600 / 20 \u00d7 10 ) = 24000 answer : b\"" + }, + { + "Answer": 112, + "Options": "['a ) 110 meters', 'b ) 111 meters', 'c ) 112 meters', 'd ) 113 meters', 'e ) 114 meters']", + "Correct": "c", + "Explanation": "solution : all sides of the square are equal . the length of the fence is 4 times the side . p = 4 \u00d7 28 = 112 meters answer c" + }, + { + "Answer": 13, + "Options": "a ) 1 minutes , b ) 13 minute , c ) 100 minutes , d ) 10000 minutes , e ) 1000 minutes", + "Correct": "b", + "Explanation": "\"we can try the logic of time and work , our work is to kill the deers so 13 ( lions ) * 13 ( min ) / 13 ( deers ) = 100 ( lions ) * x ( min ) / 100 ( deers ) hence answer is x = 13 answer : b\"" + }, + { + "Answer": 45, + "Options": "a ) 45 minutes , b ) 50 minutes , c ) 40 minutes , d ) 55 minutes , e ) 35 minutes", + "Correct": "a", + "Explanation": "\"as they arrived 30 minutes earlier than usual , they saved 30 minutes on round trip from home to station ( home - station - home ) - - > 15 minutes in each direction ( home - station ) - - > wife meets husband 15 minutes earlier the usual meeting time - - > husband arrived an hour earlier the usual meeting time , so he must have spent waking the rest of the time before their meeting , which is hour - 15 minutes = 45 minutes . answer : a\"" + }, + { + "Answer": 102.5, + "Options": "a ) 89 kmph , b ) 92 kmph , c ) 75 kmph , d ) 102.5 kmph , e ) 77 kmph", + "Correct": "d", + "Explanation": "\"s = ( 145 + 60 ) / 2 = 102.5 kmph d\"" + }, + { + "Answer": 1.24990000799936, + "Options": "a ) 1.25 sec , b ) 2.75 sec , c ) 3.5 sec , d ) 2.39 sec , e ) 9.5 sec", + "Correct": "a", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 50 / 40 = 1.25 sec . answer : a\"" + }, + { + "Answer": 390, + "Options": "a ) 167 sec , b ) 190 sec , c ) 390 sec , d ) 716 sec , e ) 123 sec", + "Correct": "c", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 10 ) / 25 = 400 sec . time taken by a = 400 - 10 = 390 sec . answer : c\"" + }, + { + "Answer": 25.997920166386688, + "Options": "a ) 26 , b ) 72 , c ) 25 , d ) 82 , e ) 27", + "Correct": "a", + "Explanation": "\"explanation : d = 100 + 160 = 260 s = 36 * 5 / 18 = 10 mps t = 260 / 10 = 26 sec answer : option a\"" + }, + { + "Answer": 20.000000000000004, + "Options": "a ) 21 , b ) 24 , c ) 20 , d ) 25 , e ) 30", + "Correct": "c", + "Explanation": "\"together they complete the job in 20 days means they complete 12 / 20 of the job after 12 days . peter completes the remaining ( 8 / 20 ) of the job in 8 days which means that the whole job ( 1 ) can be completed in x days . x = 8 / ( 8 / 20 ) = 20 c\"" + }, + { + "Answer": 0.5, + "Options": "a ) 1 / 5 , b ) 1 / 3 , c ) 2 / 3 , d ) 2 / 5 , e ) 1 / 2", + "Correct": "e", + "Explanation": "we do n ' t need to get into calculations for solving this question . we can use the concept of weighted averages . the average speed for the entire journey is 10 mph ; so , he rode at 5 mph and 15 mph for an equal duration of time . difference is 5 and 5 , respectively . 5 - - - - 10 - - - - 15 this shows that you can divide the entire journey into 2 equal parts . thus , 1 / 2 of the journey he rode at 10 mph , and 1 / 2 of the journey he rode at 15 mph . answer : e" + }, + { + "Answer": 36, + "Options": "a ) 28 , b ) 32 , c ) 36 , d ) 40 , e ) 44", + "Correct": "c", + "Explanation": "\"area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 4 x 1.25 + 4 x 1.25 ) + 4 x 4 ] = 36 the answer is c .\"" + }, + { + "Answer": 6, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "a", + "Explanation": "let x be the total time it takes for the cistern to fill . 4 / 12 + x / 15 = 1 x / 15 = 2 / 3 x = 10 after the first pipe is turned off , it takes 6 more minutes to fill the cistern . the answer is a ." + }, + { + "Answer": 27, + "Options": "['a ) 24 cm 2', 'b ) 25 cm 2', 'c ) 26 cm 2', 'd ) 27 cm 2', 'e ) 28 cm 2']", + "Correct": "d", + "Explanation": "area of trapezium when height and two parallel sides are given = 1 / 2 \u00d7 h \u00d7 ( a + b ) = 1 / 2 x 6 x ( 4 + 5 ) = 27 cm 2 answer d" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 6 , b ) 9 , c ) 10 , d ) 12 , e ) 15", + "Correct": "d", + "Explanation": "the combined rate of filling / emptying the tank = 1 / 10 - 1 / 6 = - 1 / 15 since the rate is negative , the tank will be emptied . a full tank would take 15 minutes to empty . since the tank is only four - fifths full , the time is ( 4 / 5 ) * 15 = 12 minutes the answer is d ." + }, + { + "Answer": 7.5, + "Options": "a ) 4.50 days , b ) 3.50 days , c ) 6.0 days , d ) 7.5 days , e ) 5.50 days", + "Correct": "d", + "Explanation": "\"explanation : 5 = ( 15 * x ) / ( 15 + x ) 75 + 5 x = 15 x 10 x = 75 x = 7.5 answer : option d\"" + }, + { + "Answer": 4, + "Options": "a ) 6 days , b ) 3 days , c ) 4 days , d ) 2 days , e ) 5 days", + "Correct": "c", + "Explanation": "\"the length of wall painted by one boy in one day = 25 / 5 * 1 / 4 = 1.25 m no . of days required to paint 50 m cloth by 8 boys = 35 / 7 * 1 / 1.25 = 4 days . c\"" + }, + { + "Answer": 9, + "Options": "a ) 4 , b ) 7 , c ) 9 , d ) 15 , e ) 20", + "Correct": "c", + "Explanation": "\"please follow posting guidelines , link is in my signatures . as for your question , x / 60 = blocks / time / block = block ^ 2 / time . this is not what you want . you are given x blocks and 60 seconds per block . thus you need to put it as 60 * x to give you units of seconds as you are equating this to 360 ( which is time in seconds . ) . thus the correct equation is : 60 * x - 20 * x = 360 - - - - > 40 x = 360 - - > x = 9 . option c\"" + }, + { + "Answer": 1.125, + "Options": "a ) 1.065 , b ) 1.125 , c ) 1.225 , d ) 1.375 , e ) 1.425", + "Correct": "b", + "Explanation": "\"let the distance to the top be x , so the total distance traveled by natasha is 2 x . the total time is 4 + 2 = 6 hours the average speed = total distance / total time taken = 2 x / 6 = x / 3 the average speed of the complete journey is 1.5 km / hour x / 3 = 1.5 x = 4.5 km the average speed while climbing = distance / time = 4.5 / 4 = 1.125 km / h the answer is b .\"" + }, + { + "Answer": 30, + "Options": "a ) 12 , b ) 22 , c ) 30 , d ) 88 , e ) 13", + "Correct": "c", + "Explanation": "\"us = 25 ds = 35 m = ( 35 + 25 ) / 2 = 30 answer : c\"" + }, + { + "Answer": 6, + "Options": "a ) 5 , b ) 7 , c ) 6 , d ) 31 , e ) 18", + "Correct": "c", + "Explanation": "explanatory answer step 1 : key data 1 . total value of all certificates sold = $ 93 . 2 . certificates sold were in denominations of $ 3 and $ 5 . 3 . both ' m ' and ' n ' are natural numbers . step 2 : approach the value of all certificates sold , 93 is divisible by 3 . so , a maximum of 31 $ 3 certificates and no $ 5 certificates could have been sold . however , the question states that both ' m ' and ' n ' are natural numbers . hence , at least 1 $ 5 certificate should have been sold . let us reduce the number of $ 3 certificates from theoretical maximum count of 31 by say ' x ' and correspondingly increase $ 5 certificates by ' y ' . evidently , 3 x = 5 y because the value of $ 3 certificates reduced should be the same as the value of $ 5 certificates increased . it means that x has to be a multiple of 5 and y has to be a multiple of 3 . or $ 3 certificates reduce in steps of 5 certificates . step 3 : list down possibilities the following combinations are possible 1 . m = 26 , n = 3 2 . m = 21 , n = 6 3 . m = 16 , n = 9 4 . m = 11 , n = 12 5 . m = 6 , n = 15 6 . m = 1 , n = 18 an alternative way to think of the same concept - replacing five $ 3 certificates with three $ 5 certificates leads to no change in the overall value of certficates sold and gives us a new combination each time . we need to see how many such combinations are possible . answer c" + }, + { + "Answer": 5, + "Options": "['a ) 5', 'b ) 6', 'c ) 7', 'd ) 8', 'e ) 9']", + "Correct": "a", + "Explanation": "let x be the side of the smaller square and y be the side of the larger square . the statement ` ` a square has a side 5 centimeters shorter than the side of a second square ' ' may be formulated by x = y - 5 the area of the smaller square is equal to x 2 = ( y - 5 ) 2 and the area of the larger square is equal to y 2 the statement ` ` the area of the larger square is four times the area of the smaller square ' ' may be formulated by y 2 = 4 ( y - 5 ) 2 write the above equation so that the right side is equal to 0 y 2 - 4 ( y - 5 ) 2 = 0 the left side is made up of the difference of two squares and can be easily factored as follows [ y - 2 ( y - 5 ) ] [ y + 2 ( y - 5 ) ] = 0 solve for y to find y = 10 and y = 10 / 3 . we now use the equation x = y - 5 to find x y = 10 and x = 5 for the second solution y = 10 / 3 , x is negative and can not be accepted as the length of the side of a square must be positive . answer a" + }, + { + "Answer": 16, + "Options": "a ) 17 , b ) 10 , c ) 15 , d ) 20 , e ) 16", + "Correct": "e", + "Explanation": "1 man = 3 / 2 boys ( 4 men + 9 boys ) = 15 boys 8 men = [ ( 3 / 2 ) + 8 ] = 12 boys now , 12 boys can dig the pit in 20 days . 15 boys can dig = 16 days . answer is option e" + }, + { + "Answer": 51.99584033277338, + "Options": "a ) 33 , b ) 72 , c ) 52 , d ) 82 , e ) 62", + "Correct": "c", + "Explanation": "explanation : t = ( 660 + 120 ) / 54 * 18 / 5 t = 52 answer : option c" + }, + { + "Answer": 19, + "Options": "a ) 20 , b ) 19 , c ) 18 , d ) 17 , e ) 16", + "Correct": "b", + "Explanation": "\"halfway between the multiples of 14 , there will be another multiple of 7 . the total number of multiples of 7 is 10 + 9 = 19 . the answer is b .\"" + }, + { + "Answer": 2.3998080153587713, + "Options": "a ) 5 seconds , b ) 4.5 seconds , c ) 3 seconds , d ) 2.4 seconds , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : first convert speed into m / sec speed = 210 * ( 5 / 18 ) = 58 m / sec time = distance / speed = 140 / 58 = 2.4 seconds option d\"" + }, + { + "Answer": 500, + "Options": "a ) 300 , b ) 360 , c ) 400 , d ) 450 , e ) 500", + "Correct": "e", + "Explanation": "here , drawing a quick sketch of the ' actions ' described will end in a diagonal line that you canbuilda right triangle around : the right triangle will have a base of 400 and a height of 300 . the hidden pattern here is a 3 / 4 / 5 right triangle ( the 300 lines up with the ' 3 ' and the 400 lines up with the ' 4 ' ) . in this way , you can deduce that each side is ' 100 times ' bigger than it ' s corresponding side : 3 / 4 / 5 becomes 300 / 400 / 500 thus the distance between the two cars is the length of the hypotenuse of this larger right triangle . . . final answer : e" + }, + { + "Answer": 70, + "Options": "a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", + "Correct": "c", + "Explanation": "\"1 / 2 * d * ( 12 + 6 ) = 630 d = 70 the answer is c .\"" + }, + { + "Answer": 624.4536030972898, + "Options": "a ) 246 , b ) 448 , c ) 1408 , d ) 710 , e ) 624", + "Correct": "e", + "Explanation": "1 revolution = 3.14 * diameter . number of revolutions in 1 km = 1000 m / ( 3.14 * 0.51 m ) = 624.5 . hence 624 complete revolutions . answer e" + }, + { + "Answer": 5, + "Options": "a ) 2 , b ) 3 , c ) 9 , d ) 5 , e ) 8", + "Correct": "d", + "Explanation": "\"work done by x in 1 day = 1 / 20 work done by y in 1 day = 1 / 16 work done by y in 12 days = 12 / 16 = 3 / 4 remaining work = 1 \u2013 3 / 4 = 1 / 4 number of days in which x can finish the remaining work = ( 1 / 4 ) / ( 1 / 20 ) = 5 d\"" + }, + { + "Answer": 35.99712023038157, + "Options": "a ) 48 , b ) 36 , c ) 26 , d ) 11 , e ) 18", + "Correct": "b", + "Explanation": "\"explanation : here distance d = 600 mts speed s = 63 - 3 = 60 kmph = 60 x 5 / 18 m / s time t = = 36 sec . answer : b\"" + }, + { + "Answer": 4, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 60 / 7", + "Correct": "c", + "Explanation": "\"you can either take the amount of work done as the same as karishma has done or take the work done by each in the same time . i will do the latter 1 . work done in 1 hr by a is 2000 envelopes 2 . work done in 1 hr by a and c is 3000 envelopes 3 . so work done in 1 hr by c is 1000 envelopes 4 . work done in 1 hr by b and c is 2400 envelopes 5 . so work done in 1 hr by b is 1400 envelopes 6 . so to process 5600 envelopes b will take 5600 / 1400 hrs = 4 hrs so the answer is choice c\"" + }, + { + "Answer": 4.516002356175142, + "Options": "a ) 4.85 , b ) 7.85 , c ) 4.51 , d ) 5.85 , e ) 6.15", + "Correct": "c", + "Explanation": "\"t = ( 111 + 165 ) / ( 100 + 120 ) * 18 / 5 t = 4.51 answer : c\"" + }, + { + "Answer": 21, + "Options": "a ) 21 , 21 , b ) 9 , 21 , c ) 21 , 9 , d ) 9 , 9 , e ) 20 , 8", + "Correct": "c", + "Explanation": "\"explanation : if x : speed of boats man in still water y : speed of the river downstream speed ( ds ) = x + y upstream speed ( us ) = x \u00e2 \u20ac \u201c y x = ( ds + us ) / 2 y = ( ds \u00e2 \u20ac \u201c us ) / 2 in the above problem ds = 30 ; us = 12 x = ( 30 + 12 ) / 2 = 42 / 2 = 21 km / hr y = ( 30 - 12 ) / 2 = 18 / 2 = 9 km / hr answer : c\"" + }, + { + "Answer": 190, + "Options": "a ) 333 sec , b ) 190 sec , c ) 176 sec , d ) 2687 sec , e ) 1876 sec", + "Correct": "b", + "Explanation": "\"l = s * t s = 1200 / 120 s = 10 m / sec . total length ( d ) = 1900 m t = d / s t = 1900 / 10 t = 190 sec answer : b\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 8 , c ) 10 , d ) 15 , e ) 24", + "Correct": "a", + "Explanation": "6 / 35 - 6 / 55 = 6 / 5 * ( 11 - 7 ) / 77 = 6 / 5 * 4 / 77 * 60 min = 6 * 12 * 4 / 77 = 288 / 77 ~ 3.7 answer - a" + }, + { + "Answer": 742.5, + "Options": "a ) rs . 700 , b ) rs . 708.50 , c ) rs . 732.50 , d ) rs . 742.50 , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : area of the plot = ( 100 x 70 ) m 2 = 7000 m 2 area of the plot excluding the path = [ ( 100 - 5 ) * ( 70 - 5 ) ] m 2 = 6175 m 2 . area of the path = ( 7000 - 6175 ) m 2 = 825 m 2 . cost of gravelling the path = rs . 825 * ( 90 / 100 ) = rs . 742.50 answer : option d\"" + }, + { + "Answer": 16500, + "Options": "a ) rs . 15500 , b ) rs . 16500 , c ) rs . 17500 , d ) rs . 18500 , e ) rs . 19500", + "Correct": "b", + "Explanation": "\"area = 5.5 \u00d7 3.75 sq . metre . cost for 1 sq . metre . = rs . 800 hence total cost = 5.5 \u00d7 3.75 \u00d7 800 = 5.5 \u00d7 3000 = rs . 16500 answer : b\"" + }, + { + "Answer": 15.845238095238093, + "Options": "a ) 15.27 , b ) 16.27 , c ) 17.27 , d ) 19.27 , e ) 15.83", + "Correct": "e", + "Explanation": "\"area of circle is pi * r ^ 2 but in 10 minutes area covered is ( 10 / 60 ) * 360 = 60 degree so formula is pi * r ^ 2 * ( angle / 360 ) = 3.14 * ( 5.5 ^ 2 ) * ( 60 / 360 ) = 15.83 cm ^ 2 answer : e\"" + }, + { + "Answer": 28, + "Options": "a ) 28 , b ) 23 , c ) 22 , d ) 21 , e ) 19.5", + "Correct": "a", + "Explanation": "\"when b started walking y already has covered 3 miles out of 52 , hence the distance at that time between them was 52 - 3 = 49 miles . combined rate of b and y was 3 + 4 = 7 miles per hour , hence they would meet each other in 49 / 7 = 7 hours . in 6 hours b walked 7 * 4 = 28 miles . answer : a .\"" + }, + { + "Answer": 20, + "Options": "a ) 87 days , b ) 10 days , c ) 55 days , d ) 44 days , e ) 20 days", + "Correct": "e", + "Explanation": "\"total work to be done = 30 * 40 = 1200 let 10 men leave the work after ' p ' days , so that the remaining work is completed in 40 days after they leave the work . 40 p + ( 10 * 40 ) = 1200 40 p = 800 = > p = 20 days answer : e\"" + }, + { + "Answer": 12, + "Options": "a ) 16 sec , b ) 12 sec , c ) 17 sec , d ) 21 sec , e ) 23 sec", + "Correct": "b", + "Explanation": "\"speed of the first train = 120 / 10 = 12 m / sec . speed of the second train = 120 / 5 = 8 m / sec . relative speed = 12 + 8 = 20 m / sec . required time = ( 120 + 120 ) / 20 = 12 sec . answer : b\"" + }, + { + "Answer": 190, + "Options": "a ) 122 , b ) 140 , c ) 199 , d ) 188 , e ) 190", + "Correct": "e", + "Explanation": "\"760 - - - - 22 760 - - - - 20 x - - - - - 16 x * 16 = 760 * 20 x = 950 760 - - - - - - - 190 answer : e\"" + }, + { + "Answer": 135, + "Options": "a ) 90 seconds , b ) 70 seconds , c ) 135 seconds , d ) 100 seconds , e ) 120 seconds", + "Correct": "c", + "Explanation": "\"2 / 3 filled in 90 seconds 1 / 3 filled in 45 seconds then 2 / 3 + 1 / 3 = 90 + 45 seconds = 135 seconds answer : c\"" + }, + { + "Answer": 5, + "Options": "['a ) 7 meters', 'b ) 9 meters', 'c ) 8 meters', 'd ) 5 meters', 'e ) 3 meters']", + "Correct": "d", + "Explanation": "400 rev / minute = 400 * 60 rev / 60 minutes = 24,000 rev / hour 24,000 * c = 12,0000 m : c is the circumference c = 5 meters correct answer d" + }, + { + "Answer": 50, + "Options": "a ) 50 , b ) 20 , c ) 30 , d ) 10 , e ) 15", + "Correct": "a", + "Explanation": "\"men required to finish the work in 2 days = 10 * 10 / 2 = 50 answer is a\"" + }, + { + "Answer": 7.5, + "Options": "a ) 5.5 , b ) 8.5 , c ) 6.5 , d ) 9.5 , e ) 7.5", + "Correct": "e", + "Explanation": "man ' s rate down stream = 8 + 2 = 10 kmph man ' s rate upstream = 8 - 2 = 6 kmph let the required distance be x km then x / 10 + x / 6 = 2 3 x + 5 x = 60 8 x = 60 x = 7.5 km answer is e ." + }, + { + "Answer": 15, + "Options": "a ) 15 , b ) 10 , c ) 20 , d ) 30 , e ) 35", + "Correct": "a", + "Explanation": "\"after passing the hiker the cyclist travels for 5 minutes at a rate of 20 miles / hour . in those 5 mins the cyclist travels a distance of 5 / 3 miles . in those 5 mins the hiker travels a distance of 5 / 12 miles . so the hiker still has to cover 15 / 12 miles to meet the waiting cyclist . the hiker will need 1 / 4 hours or 15 mins to cover the remaining 15 / 12 miles . so the answer is a .\"" + }, + { + "Answer": 4320, + "Options": "a ) 1440 , b ) 2340 , c ) 3240 , d ) 4320 , e ) 5420", + "Correct": "d", + "Explanation": "\"the tank is emptied at this rate : 9 + 8 - 5 = 12 cubic inches / min the tank has a volume of 30 * 12 * 12 * 12 = 51840 cubic inches . the time it takes to empty the tank is 51840 / 12 = 4320 minutes . the answer is d .\"" + }, + { + "Answer": 410.03999999999996, + "Options": "a ) 220 meter , b ) 225 meter , c ) 230 meter , d ) 410 meter , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : as trains are running in opposite directions so their relative speed will get added so , relative speed = 120 + 80 = 200 kmph = 200 * ( 5 / 18 ) = 500 / 9 m / sec let the length of other train is x meter then x + 90 / 9 = 500 / 9 = > x + 90 = 500 = > x = 410 so the length of the train is 410 meters option d\"" + }, + { + "Answer": 9.999999999999998, + "Options": "a ) 5 km , b ) 15 km , c ) 8 km , d ) 10 km , e ) 20 km", + "Correct": "d", + "Explanation": "formula = s 1 * s 2 / s 2 - s 1 * t 1 + t 2 / 60 = 10 * 15 / 5 * 20 / 60 = 30 * 20 / 60 = 10 km answer is d" + }, + { + "Answer": 4, + "Options": "a ) 3 , b ) 3.5 , c ) 4 , d ) 4.5 , e ) 6", + "Correct": "c", + "Explanation": "\"ans : c total time = 14 hrs let time traveled during 1 st day = x let time traveled during 2 nd day = x - 2 total time = 14 x + x - 2 = 14 x = 8 speed * time = distance s * 8 + ( s + 0.5 ) ( 8 - 2 ) = 52 solving s = 4.5 now speed for 2 nd day is 0.5 less than the 1 st day which is 4.5 thus speed for 2 nd day = 4 its simple algebra for s * 8 + ( s + 0.5 ) ( 8 - 2 ) = 52 but for some reason im getting 3.5 and not 4.5 . 8 s + 6 s + 3 = 52 14 s = 49 s = 3.5\"" + }, + { + "Answer": 45, + "Options": "a ) 10 kmph , b ) 45 kmph , c ) 60 kmph , d ) 55 kmph , e ) 30 kmph", + "Correct": "b", + "Explanation": "\"time = 8 distence = 540 3 / 2 of 8 hours = 8 * 3 / 2 = 12 hours required speed = 540 / 12 = 45 kmph b )\"" + }, + { + "Answer": 300, + "Options": "a ) 50 , b ) 100 , c ) 200 , d ) 300 , e ) 400", + "Correct": "d", + "Explanation": "2 ( l + 200 ) = 1000 = > l = 300 m answer : d" + }, + { + "Answer": 10, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", + "Correct": "b", + "Explanation": "\"the time to go 32 miles was 16 / 8 + 16 / 10 = 2 + 1.6 = 3.6 hours . the average speed for the return trip was 32 miles / 3.2 hours = 10 mph . the answer is b .\"" + }, + { + "Answer": 3.75, + "Options": "a ) 7 , b ) 3.75 , c ) 2 , d ) 1 , e ) 8", + "Correct": "b", + "Explanation": "1 / 6 + 1 / 10 = 8 / 30 = 4 / 15 15 / 4 = 3.75 days answer b" + }, + { + "Answer": 750, + "Options": "a ) 670 , b ) 710 , c ) 750 , d ) 790 , e ) 830", + "Correct": "c", + "Explanation": "total pay = 40 * $ 12.50 + $ 0.16 * x = 620 x = 120 / 0.16 = 750 the answer is c ." + }, + { + "Answer": 800, + "Options": "a ) 350 km , b ) 400 km , c ) 800 km , d ) 600 km , e ) 650 km", + "Correct": "c", + "Explanation": "distance = time x speed 5 x 160 = 800 answer : c" + }, + { + "Answer": 8, + "Options": "a ) 8 , b ) 21 , c ) 14 , d ) 12 , e ) 15", + "Correct": "a", + "Explanation": "\"answer is : b at $ 3 per hour up to 40 hours , regular pay = $ 3 x 40 = $ 120 if total pay = $ 168 , overtime pay = $ 168 - $ 120 = $ 48 overtime rate ( twice regular ) = 2 x $ 3 = $ 6 per hour = > number of overtime hours = $ 48 / $ 6 = 8\"" + }, + { + "Answer": 28, + "Options": "a ) 36 , b ) 42 , c ) 28 , d ) 54 , e ) 45", + "Correct": "c", + "Explanation": "\"a \u2019 s one day \u2019 s work = 1 / x b \u2019 s one day \u2019 s work = 1 / 3 x a + b \u2019 s one day \u2019 s work = 1 / x + 1 / 3 x = 1 / 21 = 3 + 1 / 3 x = 4 / 3 x = 1 / 21 x = 21 * 4 / 3 = 28 answer : c\"" + }, + { + "Answer": 14, + "Options": "a ) 14 sec , b ) 15 sec , c ) 16 sec , d ) 20 sec , e ) none", + "Correct": "a", + "Explanation": "\"sol . speed = ( 72 x 5 / 18 ) m / sec . = 20 m / sec . time taken = ( 280 x 1 / 20 ) sec = 14 sec answer a\"" + }, + { + "Answer": 3, + "Options": "a ) 5 , b ) 8 , c ) 10 , d ) 4 , e ) 3", + "Correct": "e", + "Explanation": "\"24 - - - 6 ds = 4 ? - - - - 1 12 - - - - 6 us = 2 ? - - - - 1 m = ? m = ( 4 + 2 ) / 2 = 3 answer : e\"" + }, + { + "Answer": 18, + "Options": "a ) 14 minutes , b ) 15 minutes , c ) 16 minutes , d ) 17 minutes , e ) 18 minutes", + "Correct": "e", + "Explanation": "bigger no = 18 , ratio = 9 : 18 = 1 : 2 time taken to fill the tank = 18 / ( 2 - 1 ) = 18 minutes answer : e" + }, + { + "Answer": 2, + "Options": "a ) 1 , b ) 3 , c ) 2 , d ) 4 , e ) 5", + "Correct": "c", + "Explanation": "\"1 day work of a = 1 / 3 1 day work of b = 1 / 6 1 day work of a & b = 1 / 3 + 1 / 6 = 1 / 2 a & b finish the work in 2 days answer is c\"" + }, + { + "Answer": 15, + "Options": "a ) 15 min , b ) 10 min , c ) 12 min , d ) 20 min , e ) 18 min", + "Correct": "a", + "Explanation": "\"speed of the bus without stoppage = 64 km / hr speed of the bus with stoppage = 48 km / hr difference in speed = 16 km / hr so , the time taken in the stoppages = time taken to cover 16 km = ( 16 / 64 ) hr = 1 / 4 hr = 15 min answer : a\"" + }, + { + "Answer": 56, + "Options": "a ) 25 hr , b ) 35 hr , c ) 56 hr , d ) 20 hr , e ) 50 hr", + "Correct": "c", + "Explanation": "\"suppose pipe a alone take x hours to fill the tank then pipe b and c will take x / 2 and x / 4 hours respectively to fill the tank . 1 / x + 2 / x + 4 / x = 1 / 8 7 / x = 1 / 8 x = 56 hours answer is c\"" + }, + { + "Answer": 375, + "Options": "a ) 425 miles , b ) 625 miles , c ) 325 miles , d ) 375 miles , e ) 625 miles", + "Correct": "d", + "Explanation": "\"during each hour , the car travels 65 miles . for 5 hours it will travel 75 + 75 + 75 + 75 + 75 = 5 * 65 = 375 miles correct answer d\"" + }, + { + "Answer": 10, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 10 , e ) 12", + "Correct": "d", + "Explanation": "let the speed be x . . . so time taken from home to grocery = 150 / x . . the speed to gym = 2 x . . so time taken = 200 / 2 x = 100 / x . . its given 150 / x - 100 / x = 10 50 / x = 10 x = 5 m / secs . . so grocery to gym = 2 * 5 = 10 m / s . . . answer : d" + }, + { + "Answer": 75, + "Options": "a ) 75 , b ) 65 , c ) 25 , d ) 288 , e ) 212", + "Correct": "a", + "Explanation": "\"speed = 30 * ( 5 / 18 ) m / sec = 25 / 3 m / sec length of train ( distance ) = speed * time ( 25 / 3 ) * 9 = 75 meter answer : a\"" + }, + { + "Answer": 9, + "Options": "a ) 9 days , b ) 11 days , c ) 13 days , d ) 15 days , e ) 17 days", + "Correct": "a", + "Explanation": "\"8 men = 12 women ( i . e 2 men = 3 women ) 12 women 1 day work = 1 / 15 soln : 6 men ( 9 women ) + 11 women = 20 women = ? 1 women 1 day work = 12 * 15 = 1 / 180 so , 20 women work = 20 / 180 = 1 / 9 ans : 9 days answer : a\"" + }, + { + "Answer": 300.04, + "Options": "a ) 443 m , b ) 354 m , c ) 450 m , d ) 350 m , e ) 300 m", + "Correct": "e", + "Explanation": "\"e 300 e = 72 * 5 / 18 = 25 = 500 \u00e2 \u20ac \u201c 200 = 300\"" + }, + { + "Answer": 1050, + "Options": "a ) 227 , b ) 299 , c ) 1050 , d ) 750 , e ) 211", + "Correct": "c", + "Explanation": "\"speed = [ 126 * 5 / 18 ] m / sec = 35 m / sec ; time = 1 min . = 60 sec . let the length of the train and that of the platform be x meters . then , 2 x / 60 = 35 \u00e8 x = 35 * 60 / 2 = 1050 answer : c\"" + }, + { + "Answer": 7.500000000000002, + "Options": "a ) 5.2 hrs , b ) 2.9 hrs , c ) 1.9 hrs , d ) 7.5 hrs , e ) 1.4 hrs", + "Correct": "d", + "Explanation": "\"net part filled in 1 hour = ( 1 / 3 - 1 / 5 ) = 2 / 15 the cistern will be filled in 15 / 2 hrs i . e . , 7.5 hrs . answer : d\"" + }, + { + "Answer": 60, + "Options": "a ) 50 , b ) 60 , c ) 65 , d ) 70 , e ) 72", + "Correct": "b", + "Explanation": "\"losing 10 liters per day results in a loss of 750 liters in 75 days . so , those 750 liters were for 25 days , making daily consumption of the village 30 liters per day . thus the capacity of the tank is 30 * 100 = 3000 liters . losing 20 liters plus 30 liters gives 50 liters per day . at this rate the supply will last 3000 / 50 = 60 days . the answer is b .\"" + }, + { + "Answer": 300, + "Options": "a ) 300 m , b ) 278 m , c ) 350 m , d ) 228 m , e ) 282 m", + "Correct": "a", + "Explanation": "\"speed = [ 300 / 18 ] m / sec = 50 / 3 m / sec . let the length of the platform be x meters . then , x + 300 / 36 = 50 / 3 3 ( x + 300 ) = 1800 \u00e8 x = 300 m . answer : a\"" + }, + { + "Answer": 13, + "Options": "a ) 11 , b ) 12 , c ) 13 , d ) 15 , e ) 14", + "Correct": "c", + "Explanation": "\"first codition = total hours to complete the work = 39 persons * 12 days * 5 hr second codition = total hours to complete the work = 30 persons * x days * 6 hr since the work is still the same so 39 * 12 * 5 = 30 * x * 6 x = 13 answer : c\"" + }, + { + "Answer": 422.3999999999999, + "Options": "a ) 421 m , b ) 422 m , c ) 423 m , d ) 424 m , e ) 425 m", + "Correct": "b", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 300 resolutions . = 300 * 2 * 22 / 7 * 22.4 = 42200 cm = 422 m answer : b\"" + }, + { + "Answer": 12800, + "Options": "a ) 8600 litres , b ) 12800 litres , c ) 12100 litres , d ) 11200 litres , e ) 13200 litres", + "Correct": "b", + "Explanation": "\"let the rate of outlet pipe be x liters / hour ; rate of inlet pipe is 8 litres / min , or 8 * 60 = 480 liters / hour ; net outflow rate when both pipes operate would be x - 480 liters / hour . capacity of the tank = x * 10 hours = ( x - 480 ) * ( 10 + 6 ) hours 10 x = ( x - 480 ) * 16 - - > x = 1280 - - > capacity = 10 x = 12800 liters . answer : b\"" + }, + { + "Answer": 24, + "Options": "a ) 15 , b ) 18 , c ) 21 , d ) 24 , e ) 27", + "Correct": "d", + "Explanation": "\"let k and t be the speeds of karen and tom respectively . t be the time that karen will travel - - - - > t + 4 / 60 will be the total time tom will travel by the time the distance between karen and tom is 4 miles . thus , per the question , k ( t ) - t ( t + 4 / 60 ) = 4 - - - > t = 7 / 15 hours thus the distance traveled by tom when karen is 4 miles ahead of him y : t * ( t + 4 / 60 ) = 45 ( 7 / 15 + 4 / 60 ) = 24 miles . d is the correct answer .\"" + }, + { + "Answer": 5.999520038396929, + "Options": "a ) 6 sec , b ) 9 sec , c ) 12 sec , d ) 15 sec , e ) 18 sec", + "Correct": "a", + "Explanation": "\"speed of the train relative to man = ( 68 - 8 ) kmph = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec time taken by the train to cross the man = time taken by it to cover 100 m at 50 / 3 m / sec = 100 * 3 / 50 sec = 6 sec answer : a\"" + }, + { + "Answer": 33.934511513692634, + "Options": "a ) 32.7 , b ) 32.4 , c ) 22.4 , d ) 33.9 , e ) 32.1", + "Correct": "d", + "Explanation": "\"36 / 7 r = 6.6 = 33.9 answer : d\"" + }, + { + "Answer": 2, + "Options": "a ) 0.5 , b ) 1.0 , c ) 1.5 , d ) 2.0 , e ) 2.5", + "Correct": "d", + "Explanation": "\"a ' s rate is 1 / 6 and b ' s rate is 1 / 3 . the combined rate is 1 / 6 + 1 / 3 = 1 / 2 the pipes will fill the tank in 2 minutes . the answer is d .\"" + }, + { + "Answer": 420.00000000000017, + "Options": "a ) s . 380 , b ) s . 600 , c ) s . 420 , d ) s . 400 , e ) s . 480", + "Correct": "c", + "Explanation": "explanation : amount of work a can do in 1 day = 1 / 6 amount of work b can do in 1 day = 1 / 8 amount of work a + b can do in 1 day = 1 / 6 + 1 / 8 = 7 / 24 amount of work a + b + c can do = 1 / 3 amount of work c can do in 1 day = 1 / 3 - 7 / 24 = 1 / 24 work a can do in 1 day : work b can do in 1 day : work c can do in 1 day = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 amount to be paid to c = 3360 \u00d7 ( 1 / 8 ) = 420 answer : option c" + }, + { + "Answer": 18, + "Options": "a ) 18 days , b ) 27 days , c ) 26.67 days , d ) 16 days , e ) 12 days", + "Correct": "a", + "Explanation": "\"answer a can complete a project in 20 days . so , a will complete 1 / 20 th of the project in a day . b can complete a project in 30 days . so , b will complete 1 / 30 th of the project in a day . let the total number of days taken to complete the project be x days . b worked for all x days . however , a worked for ( x - 10 ) days because a quits 10 days before the project is completed . in a day , a completes 1 / 20 th of the project . therefore , a would have completed x \u2212 10 / 20 th of the project in ( x - 10 ) days . in a day , b completes 130130 th of the project . therefore , b would have completed x / 30 h of the project in x days . \u2234 x \u2212 10 / 20 + x / 30 = 1 or x = 18 . choice a\"" + }, + { + "Answer": 120, + "Options": "a ) 80 litres , b ) 90 litres , c ) 120 litres , d ) 170 litres , e ) none of these", + "Correct": "c", + "Explanation": "explanatory answer to cover a distance of 800 kms using a 800 cc engine , the amount of diesel required = 800 / 600 * 60 = 80 litres . however , the vehicle uses a 1200 cc engine and the question states that the amount of diesel required varies directly as the engine capacity . i . e . , for instance , if the capacity of engine doubles , the diesel requirement will double too . therefore , with a 1200 cc engine , quantity of diesel required = 1200 / 800 * 80 = 120 litres . answer c" + }, + { + "Answer": 45, + "Options": "a ) 10 , b ) 40 , c ) 45 , d ) 50 , e ) 55", + "Correct": "c", + "Explanation": "\"( s + 5 ) ( t - 1 ) = 450 s * t = 450 solving both the equations , we get : s = 45 or - 50 since speed should be positive , s = 45 hence , option c\"" + }, + { + "Answer": 91, + "Options": "a ) 198 mph , b ) 91 mph , c ) 88 mph , d ) 100 mph , e ) 99 mph", + "Correct": "b", + "Explanation": "\"( 110 mph + 72 mph ) / 2 = 91 mph correct answer is : b\"" + }, + { + "Answer": 42.39999999999999, + "Options": "a ) 52 kmph , b ) 56 kmph , c ) 58 kmph , d ) 42 kmph , e ) 72 kmph", + "Correct": "d", + "Explanation": "\"explanation : relative speed = 410 / 15 m / sec = ( ( 410 / 15 ) \u00d7 ( 18 / 5 ) ) kmph = 98 kmph . speed of goods train = ( 98 - 56 ) kmph = 42 kmph answer : option d\"" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", + "Correct": "d", + "Explanation": "\"total distance = 54 kms maxwell speed = 4 kms / hr maxwell travelled for 1 hour before brad started , therefore maxwell traveled for 4 kms in 1 hour . time taken = total distance / relative speed total distance after brad started = 50 kms relative speed ( opposite side ) ( as they are moving towards each other speed would be added ) = 6 + 4 = 10 kms / hr time taken to meet brad after brad started = 50 / 10 = 5 hrs distance traveled by maxwell = maxwell ' s speed * time taken = 4 * 5 = 20 + 4 = 24 kms . . . therefore total time taken by maxwell to meet brad = distance travelled by maxwell / maxwell ' s speed = 24 / 4 = 6 hrs . . . answer d alternatively . . . total time taken by maxwell to meet brad = maxwell started 1 hour earlier to brad + total time taken to meet brad after brad started = 1 + 5 = 6 hrs . . . answer d\"" + }, + { + "Answer": 4, + "Options": "a ) 2 hours , b ) 3 hours , c ) 4 hours , d ) 5 hours , e ) none", + "Correct": "c", + "Explanation": "\"solution speed downstream = ( 13 + 4 ) km / hr = 17 km / hr . time taken to travel 68 km downstream = ( 68 / 17 ) hrs = 4 hrs . answer c\"" + }, + { + "Answer": 395.84067435231395, + "Options": "a ) 138 , b ) 390 , c ) 393 , d ) 279 , e ) 222", + "Correct": "c", + "Explanation": "\"2 * 22 / 7 * 21 = 131 131 * 3 = rs . 393 answer : c\"" + }, + { + "Answer": 16500, + "Options": "a ) 16200 , b ) 16350 , c ) 16500 , d ) 16750 , e ) 16250", + "Correct": "c", + "Explanation": "\"area = 5.5 \u00d7 3.75 sq . metre . cost for 1 sq . metre . = rs . 800 hence , total cost = 5.5 \u00d7 3.75 \u00d7 800 = 5.5 \u00d7 3000 = rs . 16500 answer is c .\"" + }, + { + "Answer": 15, + "Options": "a ) 10 min , b ) 12 min , c ) 18 min , d ) 20 min , e ) 15 min", + "Correct": "e", + "Explanation": "\"due to stoppages , it covers 15 km less . time taken to cover 15 km = ( 15 / 60 x 60 ) min = 15 min answer : e\"" + }, + { + "Answer": 111, + "Options": "a ) $ 83 , b ) $ 90 , c ) $ 92 , d ) $ 97 , e ) $ 111", + "Correct": "e", + "Explanation": "\"average daily wage of a worker for 15 consecutive working days = 90 $ during the first 7 days , the daily average daily wage = 87 $ during the last 7 days , the daily average daily wage = 90 $ wage on 8 th day = 90 * 15 - ( 87 * 7 + 90 * 7 ) = 1350 - ( 609 + 630 ) = 1350 - 1239 = 111 answer e\"" + }, + { + "Answer": 3, + "Options": "a ) 7 sec , b ) 5 sec , c ) 4 sec , d ) 6 sec , e ) 3 sec", + "Correct": "e", + "Explanation": "\"speed of train relative to man = ( 60 + 6 ) km / hr = 66 km / hr [ 66 * 5 / 18 ] m / sec = [ 55 / 3 ] m / sec . time taken to pass the man = [ 55 * 3 / 55 ] sec = 3 sec answer : e\"" + }, + { + "Answer": 1350, + "Options": "a ) 300 , b ) 1350 , c ) 1100 , d ) 1200 , e ) 1900", + "Correct": "b", + "Explanation": "\"( 1 / 10 ) * 2000 = 200 remaining = 2000 - 200 = 1800 ( 1 / 4 ) of remaining = ( 1 / 4 ) * 1800 = 450 remaining now = 1800 - 450 = 1350 answer : option b\"" + }, + { + "Answer": 120, + "Options": "a ) 120 , b ) 150 , c ) 175 , d ) 160 , e ) 130", + "Correct": "a", + "Explanation": "1 hr = 20 percent . thus 15 min = 5 percent . now to charge 40 percent 120 min . answer : a" + }, + { + "Answer": 49.997120230381576, + "Options": "a ) 44 , b ) 46 , c ) 48 , d ) 50 , e ) 52", + "Correct": "d", + "Explanation": "\"let the length of the train be x meters . when a train crosses an electric pole , the distance covered is its own length x . speed = 36 km / h = 36000 m / 3600 s = 10 m / s x = 14 * 10 = 140 m . the time taken to pass the platform = ( 140 + 360 ) / 10 = 50 seconds the answer is d .\"" + }, + { + "Answer": 27000, + "Options": "a ) 29798 , b ) 27908 , c ) 78902 , d ) 25000 , e ) 27000", + "Correct": "e", + "Explanation": "27 * 2 * 0.75 = 20 / 100 * 10 / 100 * 7.5 / 100 * x 27 = 1 / 100 * x = > x = 27000 answer : e" + }, + { + "Answer": 40, + "Options": "a ) 10 , b ) 45 , c ) 30 , d ) 20 , e ) 40", + "Correct": "e", + "Explanation": "\"whole trip = distance by foot + distance by bus + distance by car x = 1 / 4 x + 1 / 2 x + 10 x - 1 / 4 x - 1 / 2 x = 10 x = 40 km option : e\"" + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 11 , e ) 12", + "Correct": "b", + "Explanation": "volume handled by pump in one hour = 150 x . 75 = 112.5 volume of the tank that needs to be filled = 1000 x . 85 = 850 number of pumps needed = 850 / 112.5 = 7.55 \u00e2 \u2030 \u02c6 8 answer : b" + }, + { + "Answer": 150, + "Options": "a ) 389 m , b ) 150 m , c ) 289 m , d ) 299 m , e ) 219 m", + "Correct": "b", + "Explanation": "\"speed = 300 / 26 = 150 / 13 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 39 = 150 / 13 = > x = 150 m . answer : b\"" + }, + { + "Answer": 120, + "Options": "a ) 120 meter , b ) 299 meter , c ) 666 meter , d ) 155 meter , e ) 144 meter", + "Correct": "a", + "Explanation": "\"speed = 48 * ( 5 / 18 ) m / sec = 40 / 3 m / sec length of train ( distance ) = speed * time ( 40 / 3 ) * 9 = 120 meter answer : a\"" + }, + { + "Answer": 359.97120230381574, + "Options": "a ) 120 sec , b ) 165 sec , c ) 186 sec , d ) 167 sec , e ) 360 sec", + "Correct": "e", + "Explanation": "time taken to meet for the first time at the starting point = lcm { length of the track / speed of a , length of the track / speed of b } = lcm { 1800 / ( 36 * 5 / 18 ) , 1800 / ( 54 * 5 / 18 ) } = lcm ( 180 , 120 ) = 360 sec . answer : e" + }, + { + "Answer": 60, + "Options": "a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 60", + "Correct": "e", + "Explanation": "\"hexagon . it means 6 equal sides . p = 6 ( 10 ) = 60 inches answer e\"" + }, + { + "Answer": 20, + "Options": "a ) 22 sec , b ) 16 sec , c ) 17 sec , d ) 88 sec , e ) 20 sec", + "Correct": "e", + "Explanation": "\"speed = 63 * 5 / 18 = 35 / 2 m / sec time taken = 350 * 2 / 35 = 20 sec answer : e\"" + }, + { + "Answer": 34.99999999999999, + "Options": "a ) 78 kmph , b ) 85 kmph , c ) 35 kmph , d ) 24 kmph , e ) 74 kmph", + "Correct": "c", + "Explanation": "time taken = 1 hr 40 min 48 sec = 126 / 75 hrs let the actual speed be x kmph then 5 / 7 x * 126 / 75 = 42 x = ( 42 * 7 * 75 ) / 5 * 126 = 35 kmph answer ( c )" + }, + { + "Answer": 15, + "Options": "a ) 13 : 00 , b ) 13 : 30 , c ) 14 : 00 , d ) 15 : 00 , e ) 15 : 30", + "Correct": "d", + "Explanation": "\"both sari and ken climb in the same direction . speed of sari = 700 / 2 = 350 meters / hr ( since she covers 700 meters in 2 hrs ) speed of ken = 500 meters / hr at 8 : 00 , distance between ken and sari is 700 meters . ken needs to cover this and another 50 meters . time he will take = total distance to be covered / relative speed = ( 700 + 50 ) / ( 500 - 350 ) = 5 hrs starting from 10 : 00 , in 5 hrs , the time will be 15 : 00 answer ( d )\"" + }, + { + "Answer": 38.0952380952381, + "Options": "a ) 39.9 , b ) 37.88 , c ) 35 , d ) 38.88 , e ) 38.09", + "Correct": "e", + "Explanation": "\"speed = [ 200 / 42 ] m / sec = 100 / 21 m / sec . let the length of the platform be x meters . then , x + 200 / 50 = 100 / 21 21 ( x + 200 ) = 5000 \u00e8 x = 38.09 m . answer : e\"" + }, + { + "Answer": 80, + "Options": "a ) 80 , b ) 84 , c ) 88 , d ) 92 , e ) 96", + "Correct": "a", + "Explanation": "\"( 3 / 2 ) * 5 = 7.5 hours 600 / 7.5 = 80 kph the answer is a .\"" + }, + { + "Answer": 200, + "Options": "a ) $ 200 , b ) $ 150 , c ) $ 300 , d ) $ 25 , e ) $ 100", + "Correct": "a", + "Explanation": "\"c ' s 1 day work = ( 1 / 2 ) - ( 1 / 5 + 1 / 10 ) = 1 / 5 a : b : c = 1 / 5 : 1 / 10 : 1 / 5 = 2 : 1 : 2 b ' s share = 500 * 2 / 5 = $ 200 answer is a\"" + }, + { + "Answer": 0.5, + "Options": "a ) 2 , b ) 3 , c ) 0.5 , d ) 6 , e ) 12", + "Correct": "c", + "Explanation": "\"let the speed be x . . . so time taken from home to grocery = 100 / x . . the speed to gym = 2 x . . so time taken = 180 / 2 x = 90 / x . . its given 100 / x - 90 / x = 40 . . 10 / x = 40 . . x = 0.25 m / secs . . so grocery to gym = 2 * 0.25 = 0.5 m / s . . . answer : c\"" + }, + { + "Answer": 50, + "Options": "a ) 40 , b ) 54 , c ) 45 , d ) 50 , e ) none", + "Correct": "d", + "Explanation": "no . of toys = 150 / 3 = 50 answer : d" + }, + { + "Answer": 8, + "Options": "a ) 3 , b ) 5 , c ) 8 , d ) 9 , e ) 7", + "Correct": "c", + "Explanation": "\"solution speed in still water = 1 / 2 ( 11 + 5 ) km / hr = 8 km / hr . answer c\"" + }, + { + "Answer": 35, + "Options": "a ) 75 , b ) 80 , c ) 50 , d ) 35 , e ) 40", + "Correct": "d", + "Explanation": "45 workers * 8 hours / 30 meters = x * 6 / 40 x = 80 total workers 80 - 45 = 35 the answer is d ." + }, + { + "Answer": 8, + "Options": "a ) 24 , b ) 23 , c ) 22 , d ) 21 , e ) 8", + "Correct": "e", + "Explanation": "when b started walking y already has covered 3 miles out of 17 , hence the distance at that time between them was 17 - 3 = 14 miles . combined rate of b and y was 3 + 4 = 7 miles per hour , hence they would meet each other in 14 / 7 = 2 hours . in 6 hours b walked 2 * 4 = 8 miles . answer : e ." + }, + { + "Answer": 57, + "Options": "a ) 54 , b ) 57 , c ) 60 , d ) 36 , e ) 96", + "Correct": "b", + "Explanation": "\"b 57 it takes 3 hours for the friends to meet ; so the pigeon flies for 3 hours at 19 mph = 57 miles\"" + }, + { + "Answer": 74.99999999999999, + "Options": "a ) 38 , b ) 27 , c ) 75 , d ) 28 , e ) 21", + "Correct": "c", + "Explanation": "explanation : the hour hand moves from pointing to 12 to pointing to half way between 2 and 3 . the angle covered between each hour marking on the clock is 360 / 12 = 30 . since the hand has covered 2.5 of these divisions the angle moved through is 75 . answer : c" + }, + { + "Answer": 70, + "Options": "a ) 75 men , b ) 80 men , c ) 70 men , d ) 60 men , e ) 50 men", + "Correct": "c", + "Explanation": "\"in 120 days , only 240 m of the tunnel is constructed by 50 men . the remaining 120 days , 480 m of the tunnel can be constructed by 120 men . additional number of men required = 120 - 50 = 70 men . answer : c\"" + }, + { + "Answer": 2.0000000000000004, + "Options": "a ) 1 days , b ) 2 days , c ) 3 days , d ) 4 days , e ) 5 days", + "Correct": "b", + "Explanation": "1 / 2 + ( 1 + x ) / 6 = 1 x = 2 days answer : b" + }, + { + "Answer": 24, + "Options": "a ) 15 , b ) 18 , c ) 21 , d ) 24 , e ) 27", + "Correct": "d", + "Explanation": "\"let k and t be the speeds of karen and tom respectively . t be the time that karen will travel - - - - > t + 4 / 60 will be the total time tom will travel by the time the distance between karen and tom is 4 miles . thus , per the question , k ( t ) - t ( t + 4 / 60 ) = 4 - - - > t = 7 / 15 hours thus the distance traveled by tom when karen is 4 miles ahead of him h : t * ( t + 4 / 60 ) = 45 ( 7 / 15 + 4 / 60 ) = 24 miles . d is the correct answer .\"" + }, + { + "Answer": 45, + "Options": "a ) 15 , b ) 66 , c ) 77 , d ) 52 , e ) 45", + "Correct": "e", + "Explanation": "\"90 * 30 / 60 = 45 kmph answer : e\"" + }, + { + "Answer": 235, + "Options": "a ) 221 , b ) 235 , c ) 245 , d ) 289 , e ) 260", + "Correct": "b", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 15 ) / 60 = 250 sec . time taken by a = 250 - 15 = 235 sec . answer : b\"" + }, + { + "Answer": 4, + "Options": "a ) 5 th , b ) 4 th , c ) 6 th , d ) 7 th , e ) 8 th", + "Correct": "b", + "Explanation": "because one train taking 3 days so 1 train first day another at second day and 3 rd one at third day but as given train reaches at 9.30 am insted of 9 . oo am so d same day train already left that train will be 4 th train . answer : b" + }, + { + "Answer": 15, + "Options": "a ) 1 minutes , b ) 15 minute , c ) 100 minutes , d ) 10000 minutes , e ) 1000 minutes", + "Correct": "b", + "Explanation": "we can try the logic of time and work , our work is to kill the deers so 15 ( lions ) * 15 ( min ) / 15 ( deers ) = 100 ( lions ) * x ( min ) / 100 ( deers ) hence answer is x = 15 answer : b" + }, + { + "Answer": 409.0909090909091, + "Options": "a ) 408 km , b ) 409 km , c ) 410 km , d ) 412 km , e ) 419 km", + "Correct": "b", + "Explanation": "let the distance travelled be x km . total time = ( x / 2 ) / 30 + ( x / 2 ) / 25 = 15 = > x / 60 + x / 50 = 15 = > ( 5 x + 6 x ) / 300 = 15 = > x = 409 km answer : b" + }, + { + "Answer": 230.04160000000002, + "Options": "a ) 230 m , b ) 240 m , c ) 260 m , d ) 270 m , e ) 250 m", + "Correct": "a", + "Explanation": "\"s = 290 + x / t 72 * 5 / 18 = 290 + x / 26 x = 230 answer : a\"" + }, + { + "Answer": 160, + "Options": "a ) 150 meter , b ) 145 meter , c ) 160 meter , d ) 135 meter , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : speed = 72 * ( 5 / 18 ) m / sec = 20 m / sec length of train ( distance ) = speed * time = 20 * 8 = 160 meter option c\"" + }, + { + "Answer": 750, + "Options": "a ) 400 , b ) 525 , c ) 750 , d ) 850 , e ) none", + "Correct": "c", + "Explanation": "\"sol . speed = [ 90 * 5 / 18 ] m / sec = 25 m / sec ; time = 1 min . = 60 sec . let the length of the train and that of the platform be x metres . then , 2 x / 60 = 25 \u21d4 x = 25 * 60 / 2 = 750 answer c\"" + }, + { + "Answer": 4.5, + "Options": "a ) 1 kmph , b ) 4 kmph , c ) 3 kmph , d ) 2 kmph , e ) 4.5 kmph", + "Correct": "e", + "Explanation": "\"sol . speed of stream = 1 / 2 ( 12 - 3 ) kmph = 4.5 kmph . answer e\"" + }, + { + "Answer": 20, + "Options": "a ) 10 , b ) 20 , c ) 25 , d ) 30 , e ) 35", + "Correct": "b", + "Explanation": "the original number of men = 4 ( 20 + 5 ) / 5 = 20 men answer is b" + }, + { + "Answer": 90, + "Options": "a ) 150 meter , b ) 299 meter , c ) 666 meter , d ) 90 meter , e ) 144 meter", + "Correct": "d", + "Explanation": "\"speed = 36 * ( 5 / 18 ) m / sec = 10 m / sec length of train ( distance ) = speed * time ( 10 ) * 9 = 90 meter answer : d\"" + }, + { + "Answer": 30.002399999999998, + "Options": "a ) 10.8 , b ) 18 , c ) 25 , d ) 30 , e ) none", + "Correct": "d", + "Explanation": "\"sol . 108 kmph = [ 108 x 5 / 18 ] m / sec = 30 m / sec . answer d\"" + }, + { + "Answer": 30, + "Options": "a ) 22 . , b ) 24 . , c ) 30 . , d ) 36 , e ) 38 .", + "Correct": "c", + "Explanation": "total work = 20 * 18 = 360 beaver hours 12 beaver * x = 360 beaver hours x = 360 / 12 = 30 answer : c" + }, + { + "Answer": 79, + "Options": "a ) 75 , b ) 81 , c ) 71 , d ) 79 , e ) none of these", + "Correct": "d", + "Explanation": "a + c = 146 \u21d2 a + a + 4 = 146 \u21d2 a = 146 - 4 / 2 = 71 \u2234 e = a + 8 = 71 + 8 = 79 answer d" + }, + { + "Answer": 10, + "Options": "a ) 5 minutes , b ) 10 minutes , c ) 15 minutes , d ) 18 minutes , e ) 20 minutes", + "Correct": "b", + "Explanation": "\"you may set up common equation like this : job / a + job / b + job / c = job / x memorize this universal formula , you will need it definitely for gmat . and find x from this equation in this specific case , the equation will look like this : 10 / 40 + 10 / 30 + 10 / 24 = 10 / x if you solve this equation , you get the same answer b ( 10 )\"" + }, + { + "Answer": 11.999040076793857, + "Options": "a ) 12 , b ) 6 , c ) 7 , d ) 8 , e ) 9", + "Correct": "a", + "Explanation": "\"speed of train relative to man = 60 + 6 = 66 km / hr . = 66 * 5 / 18 = 55 / 3 m / sec . time taken to pass the men = 220 * 3 / 55 = 12 sec . answer : option a\"" + }, + { + "Answer": 28, + "Options": "a ) 25 hr , b ) 35 hr , c ) 40 hr , d ) 20 hr , e ) 28 hr", + "Correct": "e", + "Explanation": "\"suppose pipe a alone take x hours to fill the tank then pipe b and c will take x / 2 and x / 4 hours respectively to fill the tank . 1 / x + 2 / x + 4 / x = 1 / 4 7 / x = 1 / 4 x = 28 hours answer is e\"" + }, + { + "Answer": 6.283333333333333, + "Options": "a ) 1.6 km , b ) 2 km , c ) 6.3 km , d ) 4 km , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : speed downstreams = ( 21 + 8 ) kmph = 18 kmph . distance travelled = ( 29 x 13 / 60 ) km = 6.3 km option c\"" + }, + { + "Answer": 35, + "Options": "a ) 30 min , b ) 35 min , c ) 45 min , d ) 50 min , e ) 55 min", + "Correct": "b", + "Explanation": "there are 7 hours in between 9 a . m . to 4 p . m . 7 * 5 = 35 minutes . answer : b" + }, + { + "Answer": 50, + "Options": "a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 80", + "Correct": "b", + "Explanation": "\"let speed of car r be = x then speed of car p = x + 10 a / q , ( 600 / x ) - ( 600 / ( x + 10 ) ) = 2 solving for x = 50 miles \\ hr answer : b\"" + }, + { + "Answer": 0.8333333333333334, + "Options": "a ) 3 / 25 , b ) 5 / 6 , c ) 7 / 12 , d ) 2 / 3 , e ) 25 / 36", + "Correct": "b", + "Explanation": "\"gas used = ( 5 hours ) * ( 50 miles / hour ) * ( 1 gallon / 30 miles ) = 8 + 1 / 3 gallons portion used = ( 8 + 1 / 3 ) / 10 = 5 / 6 ans b\"" + }, + { + "Answer": 228, + "Options": "a ) 178 cm 2 , b ) 179 cm 2 , c ) 285 cm 2 , d ) 167 cm 2 , e ) 228 cm 2", + "Correct": "e", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 12 ) = 228 cm 2 answer : e\"" + }, + { + "Answer": 12, + "Options": "a ) 4 , b ) 7 , c ) 12 , d ) 15 , e ) 20", + "Correct": "c", + "Explanation": "the best way would be . . . per km , he takes 40 secs extra if he walks so he will take 8 mins or 8 * 60 secs in 8 * 60 / 40 = 12 km answer : c" + }, + { + "Answer": 56.81046715241541, + "Options": "['a ) 55.83 cm 3', 'b ) 56.83 cm 3', 'c ) 113.67 cm 3', 'd ) 58.83 cm 3', 'e ) none of these']", + "Correct": "b", + "Explanation": "inner r = 4 outer r = 4.5 formula = 2 / 3 * 22 / 7 ( r ^ 2 - r ^ 2 ) ( 2 / 3 ) * ( 22 / 7 ) * ( 4.5 * 4.5 * 4.5 - 4 * 4 * 4 ) = 56.83 answer : b" + }, + { + "Answer": 30, + "Options": "a ) 50 , b ) 30 , c ) 125 , d ) 25 , e ) none of these", + "Correct": "b", + "Explanation": "\"h . c . f = ( product of the numbers ) / ( their l . c . m ) = 18000 / 600 = 30 . answer : b\"" + }, + { + "Answer": 40.000000000000014, + "Options": "a ) 32 , b ) 36 , c ) 40 , d ) 44 , e ) 48", + "Correct": "c", + "Explanation": "\"each hour they complete 1 / 3 + 1 / 18 = 7 / 18 of the job . in 2 hours , they complete 2 ( 7 / 18 ) = 7 / 9 of the job . the time for p to finish is ( 2 / 9 ) / ( 1 / 3 ) = ( 2 / 3 ) hour = 40 minutes the answer is c .\"" + }, + { + "Answer": 70, + "Options": "a ) 70 % , b ) 80 % , c ) 100 % , d ) 120 % , e ) 125 %", + "Correct": "a", + "Explanation": "\"the radius of tank a is 7 / ( 2 * pi ) . the capacity of tank a is 10 * pi * 49 / ( 4 * pi ^ 2 ) = 245 / ( 2 * pi ) the radius of tank b is 10 / ( 2 * pi ) . the capacity of tank b is 7 * pi * 100 / ( 4 * pi ^ 2 ) = 350 / ( 2 * pi ) tank a / tank b = 245 / 350 = 7 / 10 = 70 % the answer is a .\"" + }, + { + "Answer": 220.03999999999996, + "Options": "a ) 230 , b ) 288 , c ) 267 , d ) 256 , e ) 220", + "Correct": "e", + "Explanation": "\"relative speed = 120 + 80 = 200 km / hr . = 200 * 5 / 18 = 500 / 9 m / sec . let the length of the other train be x m . then , ( x + 280 ) / 9 = 500 / 9 = > x = 220 . answer : e\"" + }, + { + "Answer": 19.9, + "Options": "a ) 20.5 , b ) 18.4 , c ) 17.5 , d ) 19.9 , e ) 21.5", + "Correct": "d", + "Explanation": "distance abel ran before completion of race - - - 100 m - 0.50 m = 99.5 m distance gained on kelly over 99.5 m - - - 3 m - 0.50 m = 2.50 m then abel gains 99.5 m / 2.50 m = 1 m on kelly every 39.8 meters . therefore 39.8 divided by half a meter ( i . e the 0.50 m abel was defeated with ) answer : d . 19.9 m" + }, + { + "Answer": 40, + "Options": "['a ) 40', 'b ) 29', 'c ) 28', 'd ) 27', 'e ) 12']", + "Correct": "a", + "Explanation": "explanation : let the breadth of the wall be x metres . then , height = 5 x metres and length = 40 x metres . x * 5 x * 40 x = 12.8 = > \\ inline \\ fn _ jvn x ^ 3 = \\ frac { 12.8 } { 200 } = \\ frac { 128 } { 2000 } = \\ frac { 64 } { 1000 } = > \\ inline \\ fn _ jvn x = \\ frac { 4 } { 10 } m = > \\ inline \\ fn _ jvn x = \\ frac { 4 } { 10 } \\ times 100 = 40 cm answer : a ) 40 cm" + }, + { + "Answer": 47, + "Options": "a ) 36 , b ) 2 ^ 4 * 3 , c ) 24 , d ) 38 , e ) 47", + "Correct": "e", + "Explanation": "working backward from the day it ' s covered : day 48 : fully covered day 47 : half covered so 47 days answer : e" + }, + { + "Answer": 98, + "Options": "a ) 16 mtr . , b ) 52 mtr , c ) 70 mtr . , d ) 78 mtr . , e ) 98 mtr .", + "Correct": "e", + "Explanation": "\"20 men is 6 days can build 112 metres 35 men in 3 days can build = 112 * ( 35 / 20 ) x ( 3 / 6 ) = 98 meters answer : e .\"" + }, + { + "Answer": 16, + "Options": "a ) 4 days , b ) 6 days , c ) 10 days , d ) 16 days , e ) 22 days", + "Correct": "d", + "Explanation": "ratio of times taken by sakshi and tanya = 125 : 100 = 5 : 4 . suppose tanya takes x days to do the work . 5 : 4 : : 20 : x x = 4 x 20 / 5 x = 16 days . hence , tanya takes 16 days to complete the work . answer : d" + }, + { + "Answer": 99.9920006399488, + "Options": "a ) 80 , b ) 100 , c ) 120 , d ) 140 , e ) 160", + "Correct": "b", + "Explanation": "\"18 km / hr = 18000 m / 3600 s = 5 m / s time = 500 / 5 = 100 seconds the answer is b .\"" + }, + { + "Answer": 5.760000000000001, + "Options": "a ) 5.79 , b ) 5.77 , c ) 5.76 , d ) 5.72 , e ) 5.71", + "Correct": "c", + "Explanation": "\"m = 6 s = 1.2 ds = 7.2 us = 4.8 x / 7.2 + x / 4.8 = 1 x = 2.88 d = 2.88 * 2 = 5.76 . answer : c\"" + }, + { + "Answer": 15, + "Options": "a ) 5 , b ) 10 , c ) 12 , d ) 15 , e ) 50", + "Correct": "d", + "Explanation": "veronica can choose 3 photos in 5 c 3 = 10 ways she can choose 4 photos in 5 c 4 = 5 ways total number of ways = 10 + 5 = 15 answer : d" + }, + { + "Answer": 15, + "Options": "a ) 15 days , b ) 1 / 15 days , c ) 1 day , d ) 30 days , e ) 225 days", + "Correct": "a", + "Explanation": "horse * days = bags 15 * 15 = 15 and 1 * days = 1 ( 15 * 15 ) / ( 1 * days ) = 15 / 1 days = 15 answer : a" + }, + { + "Answer": 200, + "Options": "a ) 150 , b ) 278 , c ) 179 , d ) 200 , e ) 191", + "Correct": "d", + "Explanation": "\": speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 12 = 200 meter answer : d\"" + }, + { + "Answer": 2000, + "Options": "a ) 500 , b ) 1,600 / 3 , c ) 1,000 , d ) 1,500 , e ) 2,000", + "Correct": "e", + "Explanation": "x 13 : ( t , d , s ) y 14 : ( t , 3 d , s + 8000 mi / hour ) z 15 : ( t + 2 seconds , s , 5 d ) d = ? distance = speed * time x 13 : d = s * t x 14 : 3 d = ( s + 8000 ) * t = = = > 3 d = ts + 8000 t z 15 : 5 d = s * ( t + 2 t ) = = = > 5 d = st + 2 st = = = > 5 d - 2 st = st 3 d = 5 d - 2 st + 8000 t - 2 d = - 2 st + 8000 t 2 d = 2 st - 8000 t d = st - 4000 t x 13 : d = s * t st - 4000 t = s * t s - 4000 = s - 2000 = s i got to this point and could n ' t go any further . this seems like a problem where i can set up individual d = r * t formulas and solve but it appears that ' s not the case . for future reference how would i know not to waste my time setting up this problem in the aforementioned way ? thanks ! ! ! the distance of z 15 is equal to five times the distance of x 13 ( we established that x 13 is the baseline and thus , it ' s measurements are d , s , t ) s ( t + 2 ) = 5 ( s * t ) what clues would i have to know to set up the equation in this fashion ? is it because i am better off setting two identical distances together ? st + 2 s = 5 st t + 2 = 5 t 2 = 4 t t = 1 / 2 we are looking for distance ( d = s * t ) so we need to solve for speed now that we have time . speed y 14 - speed x 13 speed = d / t 3 d / t - d / t = 8000 ( remember , t is the same because both asteroids were observed for the same amount of time ) 2 d = 8000 2 = 4000 d = s * t d = 4000 * ( 1 / 2 ) d = 2000 answer : e" + }, + { + "Answer": 6, + "Options": "a ) 4 , b ) 6 , c ) 10 , d ) 15 , e ) 20", + "Correct": "b", + "Explanation": "\"please follow posting guidelines , link is in my signatures . as for your question , x / 60 = blocks / time / block = block ^ 2 / time . this is not what you want . you are given x blocks and 60 seconds per block . thus you need to put it as 60 * x to give you units of seconds as you are equating this to 240 ( which is time in seconds . ) . thus the correct equation is : 60 * x - 20 * x = 240 - - - - > 40 x = 240 - - > x = 6 option b\"" + }, + { + "Answer": 30, + "Options": "a ) 19 , b ) 12 , c ) 11 , d ) 30 , e ) 114", + "Correct": "d", + "Explanation": "suppose a , b and c take x , x / 2 and x / 3 respectively to finish the work . then , ( 1 / x + 2 / x + 3 / x ) = 1 / 5 6 / x = 1 / 5 = > x = 30 so , b takes 15 hours to finish the work . answer : d" + }, + { + "Answer": 90, + "Options": "a ) 22 kmph , b ) 77 kmph , c ) 54 kmph , d ) 71 kmph , e ) 90 kmph", + "Correct": "e", + "Explanation": "\"s = 400 / 16 * 18 / 5 = 90 kmph answer : e\"" + }, + { + "Answer": 30, + "Options": "a ) 30 days , b ) 35 days , c ) 25 days , d ) 27 days , e ) 29 days", + "Correct": "a", + "Explanation": "1 / 50 + 1 / 75 = 5 / 150 30 / 1 = 30 days answer : a" + }, + { + "Answer": 7, + "Options": "a ) 3 hours , b ) 4 hours , c ) 5 hours , d ) 6 hours , e ) 7 hours", + "Correct": "e", + "Explanation": "\"explanation : speed of the boat in still water = 24 km / hr speed of the stream = 4 km / hr speed downstream = ( 22 + 5 ) = 28 km / hr distance travelled downstream = 196 km time taken = distance / speed = 196 / 28 = 7 hours answer : option e\"" + }, + { + "Answer": 15, + "Options": "a ) 15 , b ) 11 , c ) 10 , d ) 8 , e ) 7", + "Correct": "a", + "Explanation": "\"600 * 20 = 800 * x x = 15 . answer : a\"" + }, + { + "Answer": 24, + "Options": "a ) 24 , b ) 5 , c ) 6 , d ) 8 , e ) 9", + "Correct": "a", + "Explanation": "\"explanation : let the required number of men be x . less days , more men ( indirect proportion ) more working hrs per day , less men ( indirect proportion ) days 8 : 10 working hrs 5 : 8 : : 12 : x = > 8 x 5 x x = 10 x 8 x 12 = > x = 10 x 8 x 12 / ( 8 x 5 ) = > x = 24 answer : a\"" + }, + { + "Answer": 1000, + "Options": "a ) 1098 , b ) 1000 , c ) 1628 , d ) 1098 , e ) 1094", + "Correct": "b", + "Explanation": "6 * 5 * 4 = 60 / 100 * 50 / 100 * 40 / 100 * x 1 = 1 / 10 * 1 / 10 * 1 / 10 * x = > x = 1000 answer : b" + }, + { + "Answer": 10.4, + "Options": "a ) 10.6 , b ) 10.2 , c ) 10.8 , d ) 10.4 , e ) 10.0", + "Correct": "d", + "Explanation": "\"speed downstream = ( 22 + 4 ) = 26 kmph time = 24 minutes = 24 / 60 hour = 2 / 5 hour distance travelled = time \u00d7 speed = 2 / 5 \u00d7 26 = 10.4 km answer is d .\"" + }, + { + "Answer": 15, + "Options": "a ) 6.33 , b ) 7.5 , c ) 10 , d ) 15 , e ) 19", + "Correct": "d", + "Explanation": "if there is one bacteria colony , then it will reach the limit of its habitat in 16 days . if there are two bacteria colonies , then in order to reach the limit of habitat they would need to double one time less than in case with one colony . thus colonies need to double 15 times . answer : d . similar questions to practice : hope it helps ." + }, + { + "Answer": 12, + "Options": "a ) 15 , b ) 16 , c ) 18 , d ) 12 , e ) 10", + "Correct": "d", + "Explanation": "\"solution ratio of times taken by sakshi and tanya = 125 : 100 = 5 : 4 . suppose tanya taken x days to do the work . 5 : 4 : : 15 : x \u21d2 x = ( 15 x 4 / 5 ) \u21d2 x = 12 days . hence , tanya takes 16 days is complete the work . answer d\"" + }, + { + "Answer": 10, + "Options": "a ) 10 hours , b ) 12 hours , c ) 8 hours , d ) 5 hours , e ) 15 hours", + "Correct": "a", + "Explanation": "\"work done by the leak in 1 hour = 1 / 5 - 1 / 10 = 1 / 10 the leak will empty the tank in 10 hours answer is a\"" + }, + { + "Answer": 58, + "Options": "a ) 58 m , b ) 60 m , c ) 80 m , d ) 82 m , e ) 84 m", + "Correct": "a", + "Explanation": "\"let breadth = x metres . then , length = ( x + 16 ) metres . perimeter = 5300 m = 200 m . 26.50 2 [ ( x + 16 ) + x ] = 200 2 x + 16 = 100 2 x = 84 x = 42 . hence , length = x + 16 = 58 m a\"" + }, + { + "Answer": 11, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 8", + "Correct": "c", + "Explanation": "\"suppose they meet x hours after 7 a . m . distance covered by a in x hours = 20 x km . distance covered by b in ( x - 1 ) hours = 25 ( x - 1 ) km . therefore 20 x + 25 ( x - 1 ) = 155 45 x = 180 x = 4 . so , they meet at 11 a . m . answer : option c\"" + }, + { + "Answer": 20, + "Options": "a ) 50 kmph , b ) 60 kmph , c ) 70 kmph , d ) 80 kmph , e ) 20 kmph", + "Correct": "e", + "Explanation": "\"time = 6 distence = 180 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 180 / 9 = 20 kmph e\"" + }, + { + "Answer": 45, + "Options": "a ) 20 days , b ) 15 days , c ) 30 days , d ) 45 days , e ) 50 days", + "Correct": "d", + "Explanation": "10 days work of a = 10 / 40 = 1 / 4 remaining work = 1 - 1 / 4 = 3 / 4 b can finish 3 / 4 work = 60 * 3 / 4 = 45 days answer is d" + }, + { + "Answer": 15, + "Options": "a ) 15 , b ) 18 , c ) 22 , d ) 25 , e ) 26", + "Correct": "a", + "Explanation": "one man \u2019 s one day \u2019 s work = 1 / 48 one woman \u2019 s one day \u2019 s work = 1 / 60 6 men \u2019 s 2 day \u2019 s work = ( ( 6 / 48 ) x 2 ) = 1 / 4 remaining work = 3 / 4 now , 1 / 60 work s done in 1 day by 1 woman . thus , 3 / 4 work will be done in 3 days by ( 60 x ( 3 / 4 ) x ( 1 / 3 ) ) = 15 women . answer : a" + }, + { + "Answer": 10, + "Options": "a ) 2 hrs , b ) 1 hrs , c ) 10 hrs , d ) 5 hrs , e ) 4 hrs", + "Correct": "c", + "Explanation": "explanation : a tap can fill a tank in 16 hours . therefore the tap can fill half the tank in 8 hours . one tap take time to fill half of the tank = 8 hrs 4 taps take time to fill half of the tank = 8 / 4 hrs = 2 hrs total time taken to fill the tank = 8 hr + 2 hr = 10 hrs answer : c" + }, + { + "Answer": 11.999999999999996, + "Options": "a ) 8 , b ) 12 , c ) 11 , d ) 16 , e ) 18", + "Correct": "b", + "Explanation": "\"explanation : let the distance travelled by x km . then , = > ( x / 10 ) - ( x / 15 ) = 2 = > 3 x - 2 x = 60 = > x = 60 = > time taken to travel 60 km at 10 km / hr = 60 / 10 = 6 hours . = > so , robert started 6 hours before 2 p . m . i . e . , at 8 a . m . therefore , speed required = ( 60 / 5 ) km / hr = 12 km / hr answer : b\"" + }, + { + "Answer": 6000, + "Options": "a ) 3388 , b ) 27678 , c ) 6000 , d ) 2977 , e ) 27681", + "Correct": "c", + "Explanation": "10 * 4 / 100 * 5 * 90 / 100 = 25 / 100 * 15 / 100 * 8 / 100 * x 10 * 20 * 90 = 15 * 2 * x = > x = 6000 answer : c" + }, + { + "Answer": 36, + "Options": "a ) 8 , b ) 12 , c ) 18 , d ) 24 , e ) 36", + "Correct": "e", + "Explanation": "\"in : we have : 1,000 / 2 min = 500 litres per minute out : we have : 1,000 / 4 + 1,000 / 6 then do : in - out to figure out the net inflow per minute ( you get 83.3 ) . then divide the total number of litres you need ( 3,000 by that net inflow to get the minutes ) - 36 min . answer e .\"" + }, + { + "Answer": 24, + "Options": "a ) 23 , b ) 27 , c ) 20 , d ) 24 , e ) 11", + "Correct": "d", + "Explanation": "\"18 * 20 = 15 * x = > x = 24 days answer : d\"" + }, + { + "Answer": 250.04160000000002, + "Options": "a ) 230 m , b ) 250 m , c ) 643 m , d ) 832 m , e ) 270 m", + "Correct": "b", + "Explanation": "\"speed = ( 72 x 5 / 18 ) m / sec = 20 m / sec . time = 26 sec . let the length of the train be x metres . then , x + 270 / 26 = 20 x + 270 = 520 x = 250 . answer : b\"" + }, + { + "Answer": 14, + "Options": "a ) 22 , b ) 14 , c ) 6 , d ) 8 , e ) 16", + "Correct": "b", + "Explanation": "given j > p j + p = 7 , only options are ( 6 , 1 ) , ( 5 , 2 ) , ( 4 , 3 ) from the given options , if j = 4 the p = 3 . times taken by them = 244 + 243 = 14 answer : b" + }, + { + "Answer": 5833.333333333333, + "Options": "a ) 5832.75 , b ) 5839.75 , c ) 5837.75 , d ) 5222.75 , e ) 5835.75", + "Correct": "a", + "Explanation": "\"rate of water flow - 2 kmph - - 2000 / 60 - - 33.33 m / min depth of river - - 5 m width of river - - 35 m vol of water per min - - 33.33 * 5 * 35 - - - 5832.75 answer a\"" + }, + { + "Answer": 52, + "Options": "a ) 52 kmph . , b ) 62 kmph . , c ) 72 kmph . , d ) 80 kmph . , e ) none", + "Correct": "a", + "Explanation": "\"solution relative speed = ( 280 / 9 ) m / sec = ( 280 / 9 x 18 / 5 ) = 112 kmph . speed of the train = ( 112 - 60 ) kmph = 52 kmph . answer a\"" + }, + { + "Answer": 62.5, + "Options": "a ) 62.5 , b ) 65 , c ) 61 , d ) 64 , e ) 60", + "Correct": "a", + "Explanation": "\"let the capacity of 1 bucket = x . then , the capacity of tank = 25 x . new capacity of bucket = 2 / 5 x therefore , required number of buckets = ( 25 x ) / ( 2 x / 5 ) = ( 25 x ) x 5 / 2 x = 125 / 2 = 62.5 answer is a .\"" + }, + { + "Answer": 20, + "Options": "a ) 16 , b ) 18 , c ) 20 , d ) 22 , e ) 24", + "Correct": "c", + "Explanation": "after passing the hiker the cyclist travels for 5 minutes at a rate of 20 miles / hour . in those 5 mins the cyclist travels a distance of 5 / 3 miles . in those 5 mins the hiker travels a distance of 1 / 3 miles . so the hiker still has to cover 4 / 3 miles to meet the waiting cyclist . the hiker will need 1 / 3 hours or 20 mins to cover the remaining 4 / 3 miles . so the answer is c ." + }, + { + "Answer": 50, + "Options": "a ) 70 , b ) 50 , c ) 62 , d ) 49 , e ) 50", + "Correct": "b", + "Explanation": "\"total number of players = 12 + 17 + 11 + 10 = 50 answer is b\"" + }, + { + "Answer": 115, + "Options": "a ) after 20 hours , b ) after 115 hours , c ) after 115 minutes , d ) after 20 minutes , e ) after 30 minutes", + "Correct": "b", + "Explanation": "rana is the faster person . he gains 1 km in 1 hour . so rana will gain one complete round over ajith in 115 hours . i . e . they will meet after 115 hours . answer : b" + }, + { + "Answer": 116.27906976744185, + "Options": "a ) 114 , b ) 115 , c ) 116 , d ) 117 , e ) 118", + "Correct": "c", + "Explanation": "\"let the required number of seconds be x more cloth , more time , ( direct proportion ) hence we can write as ( cloth ) 0.129 : 15 : : 1 : x = > 0.129 * x = 15 = > x = 15 / 0.129 = > x = 116 answer : c\"" + }, + { + "Answer": 18, + "Options": "a ) 14 , b ) 18 , c ) 21 , d ) 22 , e ) 27", + "Correct": "b", + "Explanation": "\"let the speed in highway be h mpg and in city be c mpg . h = c + 6 h miles are covered in 1 gallon 462 miles will be covered in 462 / h . similarly c miles are covered in 1 gallon 336 miles will be covered in 336 / c . both should be same ( as car ' s fuel capacity does not change with speed ) = > 336 / c = 448 / h = > 336 / c = 448 / ( c + 6 ) = > 336 c + 336 * 6 = 448 c = > c = 336 * 6 / 112 = 18 answer b .\"" + }, + { + "Answer": 850, + "Options": "a ) 750 , b ) 850 , c ) 900 , d ) 980 , e ) 950", + "Correct": "b", + "Explanation": "let p , q are two persons then their speeds be a , b - > m / hr x - - - - 340 - - - - - - - - - - - - - - - - - - - - - - | - - - ( d - 340 ) - - - - - - - - - y in forward journey time taken by p = 340 / a ; time taken by q = d - 340 / b ; in forward journey , time taken by p = time taken by q so 340 / a = d - 340 / b a / b = 340 / d - 340 - - - - - - - - - - - - ( 1 ) after that they continue their journeyand reach other banks now in backward journey , x - - - - - - - - - - - - - - - ( d - 170 ) - - - - - - - - - - - - - - - - - - - - - - - - - - | - - - - - 170 - - - - - - y distance travelled by p from meet 1 to meet 2 = ( d - 340 ) + 170 distance travelled by p from meet 1 to meet 2 = 340 + ( d - 170 ) now time taken by p = time taken by q ( d - 340 ) + 170 / a = 340 + ( d - 170 ) / b ( d - 340 ) + 170 / 340 + ( d - 170 ) = a / b - - - - - - - - - ( 2 ) from 1 & 2 340 / ( d - 340 ) = ( d - 340 ) + 170 / 340 + ( d - 170 ) 340 / ( d - 340 ) = d - 170 / d + 170 340 d + 57800 = d ^ 2 - 340 d - 170 d + 57800 340 d = d ^ 2 - 510 d d ^ 2 - 850 d = 0 d ( d - 850 ) = 0 d = 0 ord = 850 so width of the river is 850 answer : b" + }, + { + "Answer": 64, + "Options": "a ) 96 kmph , b ) 64 kmph , c ) 52 kmph , d ) 86 kmph , e ) 76 kmph", + "Correct": "b", + "Explanation": "\"s = 160 / 9 * 18 / 5 = 64 kmph answer : b\"" + }, + { + "Answer": 50, + "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", + "Correct": "c", + "Explanation": "\"number of pieces = 42.5 / 0.85 = 42.50 / 0.85 = 4250 / 85 = 50 . answer : c\"" + }, + { + "Answer": 35, + "Options": "a ) 35 , b ) 50 , c ) 62 , d ) 75 , e ) 78", + "Correct": "a", + "Explanation": "\"first round distance travelled ( say ) = d speed = 75 k / h time taken , t 2 = d / 75 hr second round distance traveled = d ( same distance ) speed = 105 k / h time taken , t 2 = d / 105 hr total time taken = 1 hrs therefore , 1 = d / 75 + d / 105 lcm of 75 and 105 = 525 1 = d / 75 + d / 105 = > 1 = 7 d / 525 + 5 d / 525 = > d = 525 / 12 km therefore , t 1 = d / 75 = > t 1 = 525 / ( 12 x 75 ) = > t 1 = ( 7 x 60 ) / 12 - - in minutes = > t 1 = 35 minutes . a\"" + }, + { + "Answer": 135, + "Options": "a ) 40 , b ) 60 , c ) 135 , d ) 80 , e ) 100", + "Correct": "c", + "Explanation": "\"if two objects a and b start simultaneously from opposite points and , after meeting , reach their destinations in \u2018 a \u2019 and \u2018 b \u2019 hours respectively ( i . e . a takes \u2018 a hrs \u2019 to travel from the meeting point to his destination and b takes \u2018 b hrs \u2019 to travel from the meeting point to his destination ) , then the ratio of their speeds is given by : sa / sb = \u221a ( b / a ) i . e . ratio of speeds is given by the square root of the inverse ratio of time taken . sa / sb = \u221a ( 4 / 9 ) = 2 / 3 this gives us that the ratio of the speed of a : speed of b as 2 : 3 . since speed of a is 80 kmph , speed of b must be 80 * ( 3 / 2 ) = 135 kmph c\"" + }, + { + "Answer": 72.9, + "Options": "a ) 73.9 , b ) 72.9 , c ) 73.0 , d ) 73.5 , e ) 92.2", + "Correct": "b", + "Explanation": "\"let the initial quantity of milk in vessel be t litres . let us say y litres of the mixture is taken out and replaced by water for n times , alternatively . quantity of milk finally in the vessel is then given by [ ( t - y ) / t ] n * t for the given problem , t = 90 , y = 9 and n = 2 . hence , quantity of milk finally in the vessel = [ ( 90 - 9 ) / 90 ] 2 ( 90 ) = 72.9 litres . answer : option b\"" + }, + { + "Answer": 22.8, + "Options": "a ) 22.8 kg , b ) 25.6 kg , c ) 28 kg , d ) 26.5 kg , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : let the required weight be x kg . then , less length , less weight ( direct proportion ) = > 11.25 : 6 : : 42.75 : x = > 11.25 x x = 6 x 42.75 = > x = ( 6 x 42.75 ) / 11.25 = > x = 22.8 answer : a\"" + }, + { + "Answer": 41.666666666666664, + "Options": "a ) 36 mph , b ) 40 mph , c ) 44 mph , d ) 42 mph , e ) 58 mph", + "Correct": "d", + "Explanation": "\"so the answer is plainly d . . . . we have a general relation for speed , time and distance : v ( velocity ) * t ( time ) = d ( distance ) for first part we have d = 60 miles , and v = 30 mph so we can obtain time : 30 * t = 60 or t = 60 / 30 = 2 hours the needed time to cover 60 miles in the same way we should divide 65 by 65 to find the needed time to cover 65 miles , so t = 1 hours so the total time for covering total distance would be 2 + 1 = 3 hours and total distance is 60 + 65 = 125 miles final stage : average speed is total distance divide to total time : 125 / 3 = 41.6 miles per hour that rounds up to 42 . . . .\"" + }, + { + "Answer": 255, + "Options": "a ) 230 , b ) 240 , c ) 245 , d ) 255 , e ) 260", + "Correct": "d", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 120 + x ) / 30 = 25 / 2 = > 2 ( 120 + x ) = 750 = > x = 255 m . answer : option d\"" + }, + { + "Answer": 20, + "Options": "a ) 18 , b ) 19 , c ) 20 , d ) 21 , e ) 22", + "Correct": "c", + "Explanation": "ac = 11 and ab = 5 , so bc = 6 . bc = 3 cd so cd = 2 . the length of ae is ab + bc + cd + de = 5 + 6 + 2 + 7 = 20 the answer is c ." + }, + { + "Answer": 14.998800095992321, + "Options": "a ) 22 sec , b ) 27 sec , c ) 25 sec , d ) 15 sec , e ) 11 sec", + "Correct": "d", + "Explanation": "\"explanation : d = 70 + 80 = 150 s = 36 * 5 / 18 = 10 mps t = 150 / 10 = 15 sec answer : option d\"" + }, + { + "Answer": 13, + "Options": "a ) 11 days , b ) 13 days , c ) 20 3 / 17 days , d ) 21 days , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : ratio of times taken by a and b = 100 : 130 = 10 : 13 suppose b takes x days to do the work . x = ( 23 * 13 ) / 10 = 299 / 10 a ' s 1 day work = 1 / 23 ; b ' s 1 day work = 10 / 299 ( a + b ) ' s 1 day work = ( 1 / 23 + 10 / 299 ) = 1 / 13 a and b together can complete the job in 13 days . answer is b\"" + }, + { + "Answer": 4, + "Options": "a ) 2 , b ) 8 , c ) 4 , d ) 6 , e ) 5", + "Correct": "c", + "Explanation": "\"explanation : he covered 5 km in 1 hour , so he might cover 30 km in 6 hours . but he took 10 hours . he would have saved 10 \u00e2 \u20ac \u201c 6 = 4 hours . answer : c\"" + }, + { + "Answer": 100, + "Options": "a ) 20 % , b ) 80 % , c ) 100 % , d ) 180 % , e ) 200 %", + "Correct": "c", + "Explanation": "\"c . let ' s assume just jane 40 bears per 40 / hrs a week , so that is 1 bear / hr . with an assistant she makes 72 bears per 36 hours a week or 2 bears / hr ( [ 40 bears * 1.8 ] / [ 40 hrs * . 90 ] ) . q = [ ( 2 - 1 ) / 1 ] * 100 % = 100 %\"" + }, + { + "Answer": 235, + "Options": "a ) 235 miles . , b ) 245 miles . , c ) 255 miles . , d ) 265 miles . , e ) 275 miles .", + "Correct": "a", + "Explanation": "\"the total distance d traveled by john is given by d = 35 * 2 + 3 * 55 = 235 miles . answer a\"" + }, + { + "Answer": 3, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "c", + "Explanation": "\"as cars are moving in opposite directions their speeds will be added . so their relative speeds : 20 + 15 = 35 mph total distance to be covered = 105 miles . time taken would be : 105 miles / 35 mph = 3 hours c is the answer .\"" + }, + { + "Answer": 26, + "Options": "a ) 22 , b ) 23 , c ) 24 , d ) 25 , e ) 26", + "Correct": "e", + "Explanation": "answer e . key is ' atmost ' here . so 16 people joined m . 18 people joined s and 11 people joined z . to get maximum people who did not join any club , 11 people who joined z are among 18 people who joined s . so 18 + 16 = 34 60 - 34 = 26" + }, + { + "Answer": 122, + "Options": "a ) 101 \u00b0 f , b ) 108 \u00b0 f , c ) 116 \u00b0 f , d ) 122 \u00b0 f , e ) 127 \u00b0 f", + "Correct": "d", + "Explanation": "let f and c denote the temperature in fahrenheit and celsius respectively . ( f - 32 ) / ( 212 - 32 ) = ( c - 0 ) / ( 100 - 0 ) f = 9 c / 5 + 32 f = 9 ( 50 ) / 5 + 32 = 122 \u00b0 f the answer is d ." + }, + { + "Answer": 220, + "Options": "a ) 220 m , b ) 225 m , c ) 245 m , d ) 250 m , e ) 270 m", + "Correct": "a", + "Explanation": "\"let the length of the bridge : l the equation now is l + 155 / 12.5 m / s ( 45 km / hr or 12.5 m / s ) = 30 solving , l = 220 m answer : a\"" + }, + { + "Answer": 20, + "Options": "a ) 20 m , b ) 25 m , c ) 22.5 m , d ) 9 m , e ) none of these", + "Correct": "a", + "Explanation": "\"solution distance covered by b in 9 sec . = ( 100 / 45 x 9 ) m = 20 m . \u2234 a beats b by 20 metres . answer a\"" + }, + { + "Answer": 18, + "Options": "a ) 18 , b ) 21 , c ) 22 , d ) 20 , e ) 30", + "Correct": "a", + "Explanation": "2 nd day he earns = 2 ( 2 \u2013 1 ) 3 rd day he earns = 2 ( 3 \u2013 1 ) on 10 th day he earns 2 ( 10 - 1 ) = 18 rupees answer : a" + }, + { + "Answer": 52, + "Options": "['a ) 42 cm', 'b ) 64 cm', 'c ) 56 cm', 'd ) 52 cm', 'e ) none of these']", + "Correct": "d", + "Explanation": "explanation : let the diagonals be pr and sq such that pr = 24 cm and sq = 10 cm po = or = 24 / 2 = 12 cm so = oq = 10 / 2 = 5 cm pq = qr = rs = sp = \u221a ( 122 + 52 ) = \u221a ( 144 + 25 ) = \u221a 169 = \u221a 13 cm perimeter = 4 \u00d7 13 = 52 cm answer : option d" + }, + { + "Answer": 7.5, + "Options": "a ) 7 m , b ) 7.5 m , c ) 8 m , d ) 8.5 m , e ) none of these", + "Correct": "b", + "Explanation": "length of the carpet = totalcost / rate / m = ( 8100 \u2044 45 ) m = 180 m . area of the room = area of the carpet = ( 180 \u00d7 75 \u2044 100 ) m 2 = 135 m 2 \u2234 breadth of the room = arealength = 135 / 18 m = 7.5 m answer b" + }, + { + "Answer": 1998, + "Options": "a ) s . 1014 , b ) s . 1140 , c ) s . 1998 , d ) s . 1085 , e ) s . 1020", + "Correct": "c", + "Explanation": "\"a 2 = 3136 = > a = 56 56 * 4 * 3 = 672 \u2013 6 = 666 * 3.0 = 1998 answer : c\"" + }, + { + "Answer": 216, + "Options": "a ) 206 , b ) 216 , c ) 226 , d ) 256 , e ) 246", + "Correct": "b", + "Explanation": "first let us determine the speed of the train after the stop . the speed was increased by 53 m / sec = 5 \u22c5 60 \u22c5 6031000 km / hr = 6 km / hr . therefore , the new speed is 48 + 6 = 54 km / hr . if it took x hours to cover the first half of the distance , then it took x \u2212 1560 = x \u2212 0.25 hr to cover the second part . so the equation is : 48 \u22c5 x = 54 \u22c5 ( x \u2212 0.25 ) 48 \u22c5 x = 54 \u22c5 x \u2212 54 \u22c5 0.25 48 \u22c5 x \u2212 54 \u22c5 x = \u2212 13.5 \u2212 6 x = \u2212 13.5 x = 2.25 h . the whole distance is 2 \u00d7 48 \u00d7 2.25 = 216 km . answer is b ." + }, + { + "Answer": 2.4000000000000004, + "Options": "a ) 3.75 days , b ) 3.7 days , c ) 3.6 days , d ) 2.4 days , e ) 5.75 days", + "Correct": "d", + "Explanation": "\"1 / 4 + 1 / 6 = 5 / 12 12 / 5 = 2.4 days answer : d\"" + }, + { + "Answer": 7, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 1", + "Correct": "b", + "Explanation": "explanation : rate downstream = ( 20 / 2 ) kmph = 10 kmph ; rate upstream = ( 20 / 5 ) kmph = 4 kmph speed in still water = 1 / 2 ( 10 + 4 ) kmph = 7 kmph answer : b" + }, + { + "Answer": 8, + "Options": "a ) 10 , b ) 25 , c ) 60 , d ) 8 , e ) 20", + "Correct": "d", + "Explanation": "\"a + b 10 days work = 10 * 1 / 40 = 1 / 4 remaining work = 1 - 1 / 4 = 3 / 4 3 / 4 work is done by a in 6 days whole work will be done by a in 6 * 4 / 3 = 8 days answer is d\"" + }, + { + "Answer": 600.048, + "Options": "a ) 877 m , b ) 600 m , c ) 167 m , d ) 176 m , e ) 546 m", + "Correct": "b", + "Explanation": "\"explanation : 72 kmph = 72 * 5 / 18 = 20 mps d = speed * time = 20 * 30 = 600 m . answer : b\"" + }, + { + "Answer": 20, + "Options": "a ) 21 , b ) 20 , c ) 22 , d ) 23 , e ) 24", + "Correct": "b", + "Explanation": "\"together they complete the job in 20 days means they complete 10 / 20 of the job after 10 days . peter completes the remaining ( 10 / 20 ) of the job in 10 days which means that the whole job ( 1 ) can be completed in x days . < = > 8 / 20 - > 10 < = > x = 10 / ( 10 / 20 ) = 20 b\"" + }, + { + "Answer": 23.999999999999996, + "Options": "a ) 24 hrs , b ) 60 hrs , c ) 70 hrs , d ) 80 hrs , e ) 90 hrs", + "Correct": "a", + "Explanation": "time taken to full the cistern = ( 1 / 8 - 1 / 12 ) hrs = 1 / 24 = 24 hrs answer : a" + }, + { + "Answer": 80.00000000000001, + "Options": "a ) 50 hrs , b ) 60 hrs , c ) 70 hrs , d ) 80 hrs , e ) 90 hrs", + "Correct": "d", + "Explanation": "\"time taken to full the cistern = ( 1 / 16 - 1 / 20 ) hrs = 1 / 80 = 80 hrs answer : d\"" + }, + { + "Answer": 112, + "Options": "a ) 110 hours , b ) 112 hours , c ) 115 hours , d ) 100 hours , e ) none of these", + "Correct": "b", + "Explanation": "cistern filled by both pipes in one hour = 1 \u2044 14 + 1 \u2044 16 = 15 \u2044 112 th \u2234 both pipes filled the cistern in 112 \u2044 15 hrs . now , due to leakage both pipes filled the cistern in 112 \u2044 15 + 32 \u2044 60 = 8 hrs . \u2234 due to leakage , filled part in one hour 1 \u2044 8 \u2234 part of cistern emptied , due to leakage in one hour = 15 \u2044 112 - 1 \u2044 8 = 1 \u2044 112 th \u2234 in 112 hr , the leakage would empty the cistern . answer b" + }, + { + "Answer": 5.4995600351971845, + "Options": "a ) 5.5 , b ) 4.5 , c ) 3.5 , d ) 2.5 , e ) 1.5", + "Correct": "a", + "Explanation": "\"speed = 36 * 5 / 18 = 10 m / sec time taken = 55 / 10 = 5.5 sec . answer : a\"" + }, + { + "Answer": 5760, + "Options": "a ) 2345 , b ) 2350 , c ) 2457 , d ) 4657 , e ) 5760", + "Correct": "e", + "Explanation": "\"1 / x - 1 / 6 = - 1 / 8 x = 24 hrs 24 * 60 * 4 = 5760 e\"" + }, + { + "Answer": 0.9999999999999997, + "Options": "a ) 0.5 , b ) 1 , c ) 1.5 , d ) 2 , e ) 2.5", + "Correct": "b", + "Explanation": "\"new time = d / ( 6 v / 7 ) = 7 / 6 * usual time 10 minutes represents 1 / 6 of the usual time . the usual time is 1 hour . the answer is b .\"" + }, + { + "Answer": 100.09099181073704, + "Options": "a ) 100 , b ) 250 , c ) 300 , d ) 330 , e ) none of these", + "Correct": "a", + "Explanation": "\"radius of the wheel of bus = 175 cm . then , circumference of wheel = 2 \u00ef \u20ac r = 350 \u00ef \u20ac = 1100 cm distance covered by bus in 1 minute = 66 \u00e2 \u0081 \u201e 60 \u00e3 \u2014 1000 \u00e3 \u2014 100 cms distance covered by one revolution of wheel = circumference of wheel = 1100 cm \u00e2 \u02c6 \u00b4 revolutions per minute = 6600000 / 60 \u00e3 \u2014 1100 = 100 answer a\"" + }, + { + "Answer": 119.99040076793857, + "Options": "a ) 100 , b ) 120 , c ) 140 , d ) 160 , e ) 180", + "Correct": "b", + "Explanation": "\"15 km / hr = 15000 m / 3600 s = ( 150 / 36 ) m / s = ( 25 / 6 ) m / s time = 500 / ( 25 / 6 ) = 120 seconds the answer is b .\"" + }, + { + "Answer": 36, + "Options": "a ) 54 , b ) 66 , c ) 80 , d ) 36 , e ) 96", + "Correct": "d", + "Explanation": "d 36 it takes 3 hours for the friends to meet ; so the pigeon flies for 3 hours at 12 mph = 36 miles" + }, + { + "Answer": 550.0000000000001, + "Options": "a ) 550 , b ) 289 , c ) 350 , d ) 882 , e ) 281", + "Correct": "a", + "Explanation": "\"speed = [ 300 / 18 ] m / sec = 50 / 3 m / sec . let the length of the platform be x meters . then , x + 300 / 51 = 50 / 3 3 ( x + 300 ) = 2550 \u00e8 x = 550 m . answer : a\"" + }, + { + "Answer": 33.333333333333336, + "Options": "a ) 31 , b ) 33.33 , c ) 35 , d ) 37 , e ) 39.33", + "Correct": "b", + "Explanation": "\"( time ) * ( rate ) = ( distance ) - - > ( rate ) = ( distance ) / ( time ) - - > given : ( rate ) = 250 / t = 350 / ( t + 3 ) - - > 5 / t = 7 / ( t + 3 ) - - > 5 t + 15 = 7 t - - - - > 2 t = 15 . t = 7.5 - - - - > ( rate ) = 250 / 7.5 = 33.33 answer : b\"" + }, + { + "Answer": 12, + "Options": "a ) 5 , b ) 6 , c ) 8 , d ) 10 , e ) 12", + "Correct": "e", + "Explanation": "i approached this one by plugging in numbers . . . started with c . if 40 are made in 8 hours , then 20 are made in 4 hours . so time of r is 4 , and time of b is 2 . rate together : 20 / 4 + 20 / 2 = 5 + 10 = 15 . so in 1 hour , together make 15 widgets . in 3 hours = 45 . way too much . we can eliminate right away c , b , and a - because b and r reduces the time - the total # of widgets made will be even higher . now between d and e - > try only one . . if it does n ' t work , then the other one is the answer . i picked e : 12 h to make 40 widgets , and 6 hours to make 20 . this is the time of r . time of b = 4 hours . 20 / 6 + 20 / 4 = 10 / 3 + 20 / 4 find lcm of 3 and 4 = 12 . multiply first by 4 , and second by 3 : 40 + 60 / 12 = 100 / 12 divide by 4 : 25 / 3 so this is the rate given . e is the correct answer" + }, + { + "Answer": 3, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "c", + "Explanation": "putting a value to each point , lets use the following : a - 0 b - 2 ( ab = 2 ) c - 5 ( ac = 5 ) d - 8 ( bd = 6 ) cd is 8 - 5 = 3 . ans c" + }, + { + "Answer": 8, + "Options": "a ) 8 , b ) 12 , c ) 14 , d ) 15 , e ) 17", + "Correct": "a", + "Explanation": "\"renu \u00e2 \u20ac \u2122 s one day \u00e2 \u20ac \u2122 s work = 1 / 8 suma \u00e2 \u20ac \u2122 s one day \u00e2 \u20ac \u2122 s work = 1 / 4 - 1 / 8 = 1 / 8 suma can do it alone in 8 days . answer : a\"" + }, + { + "Answer": 66, + "Options": "a ) 89 kmph , b ) 92 kmph , c ) 75 kmph , d ) 65 kmph , e ) 66 kmph", + "Correct": "e", + "Explanation": "\"s = ( 90 + 42 ) / 2 = 66 kmph e\"" + }, + { + "Answer": 280, + "Options": "a ) 240 meters , b ) 360 meters , c ) 280 meters , d ) 600 meters , e ) can not be determined", + "Correct": "c", + "Explanation": "\"speed of the train in metres / sec = 72000 / 3600 = 20 distance travelled by train to cross the platform = 30 * 20 = 600 = length of train + length of platform distance travelled by train to cross the man = 16 * 20 = 320 = length of train length of platform = 600 - 320 = 280 answer : c\"" + }, + { + "Answer": 179.98560115190787, + "Options": "a ) 120 sec , b ) 165 sec , c ) 186 sec , d ) 180 sec , e ) 168 sec", + "Correct": "d", + "Explanation": "\"time taken to meet for the first time at the starting point = lcm { length of the track / speed of a , length of the track / speed of b } = lcm { 900 / ( 36 * 5 / 18 ) , 900 / ( 54 * 5 / 18 ) } = lcm ( 90 , 60 ) = 180 sec . answer : d\"" + }, + { + "Answer": 36, + "Options": "a ) 25 days , b ) 30 days , c ) 60 days , d ) 65 days , e ) 36 days", + "Correct": "e", + "Explanation": "assume : jose does 1 job in x days , so jose does 1 / x job in a day jane does 1 job in y days , so jane does 1 / y job in a day together , they does ( x + y ) / xy job in a day . this is equals to 1 / 20 . so ( x + y ) / xy = 1 / 12 12 ( x + y ) = xy next , we ' re told 1 job takes 48 days to complete if jose and jane each does half the work . so since jose does 1 job in x days , he wil need x / 2 days to do half the job . jane similarly will need y / 2 days to do the other half . x / 2 + y / 2 = 48 x + y = 96 so xy = 1152 the answer choices are : 25 days 30 days 60 days 65 days 36 days from the answer choices , so i ' ll go for 36 days for jose and 32 days for jane . answer : e" + }, + { + "Answer": 12, + "Options": "a ) 20 sec , b ) 12 sec , c ) 30 sec , d ) 50 sec , e ) 1 min", + "Correct": "b", + "Explanation": "\"they meet every 180 / 7 + 8 = 12 sec answer is b\"" + }, + { + "Answer": 4, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 6", + "Correct": "d", + "Explanation": "\"the distance between the nest and the ditch is 200 meters . 15 times mean = a crow leaves its nest , and flies back ( going and coming back ) i . e . 2 times we get total 30 rounds . so the distance is 30 * 200 = 6000 . d = st 6000 / 1.5 = t , i think we can take 6000 meters as 6 km , then only we get t = 4 . ( 1000 meters = 1 km ) d )\"" + }, + { + "Answer": 344, + "Options": "a ) 296 , b ) 252 , c ) 344 , d ) 388 , e ) none of these", + "Correct": "c", + "Explanation": "let the four numbers be x , x + 2 , x + 4 and x + 6 . = > x + x + 2 + x + 4 + x + 6 = 36 = > 4 x + 12 = 36 = > x = 6 the numbers are 6 , 8 , 10 and 12 . sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344 . answer : c" + }, + { + "Answer": 90, + "Options": "a ) 90 , b ) 98 , c ) 60 , d ) 88 , e ) 12", + "Correct": "a", + "Explanation": "\"let the speed of the slower train be x m / sec . then , speed of the train = 2 x m / sec . relative speed = ( x + 2 x ) = 3 x m / sec . ( 150 + 150 ) / 8 = 3 x = > x = 25 / 2 . so , speed of the faster train = 50 / 2 = 25 * 18 / 5 = 90 km / hr . answer : a\"" + }, + { + "Answer": 253, + "Options": "a ) 253 mph . , b ) 275 mph . , c ) 296 mph . , d ) 278 mph . , e ) 235 mph .", + "Correct": "a", + "Explanation": "the speed of the plane in still air = x miles / hour the speed of the wind is 23 mph speed with the wind = ( x + 23 ) mph speed against the wind = ( x \u2013 23 ) mph time = distance / speed according to the problem , 420 / ( x + 23 ) = 350 / ( x \u2013 23 ) 420 ( x \u2013 23 ) = 350 ( x + 23 ) 420 x \u2013 9660 = 350 x + 805 420 x \u2013 350 x = 8050 + 9660 70 x = 17710 x = 17710 / 70 x = 253 therefore , the speed of the plane in still air = 253 mph . correct answer a" + }, + { + "Answer": 3.9999999999999996, + "Options": "['a ) 4 m', 'b ) 5 m', 'c ) 6 m', 'd ) 7 m', 'e ) 8 m']", + "Correct": "a", + "Explanation": "explanation : let width = x then , height = 6 x and length = 42 x 42 x \u00d7 6 x \u00d7 x = 16128 x = 4 answer : a" + }, + { + "Answer": 10, + "Options": "a ) 10.30 , b ) 10 , c ) 8.45 , d ) 9.3 , e ) 11", + "Correct": "b", + "Explanation": "\"explanation : assume both trains meet after x hours after 7 am distance covered by train starting from p in x hours = 20 x km distance covered by train starting from q in ( x - 1 ) hours = 25 ( x - 1 ) total distance = 110 = > 20 x + 25 ( x - 1 ) = 110 = > 45 x = 135 = > x = 3 means , they meet after 3 hours after 7 am , ie , they meet at 10 am . answer : b\"" + }, + { + "Answer": 132, + "Options": "a ) 36 , b ) 66 , c ) 132 , d ) 264 , e ) 152", + "Correct": "c", + "Explanation": "\"12 * 396 = 36 * x x = 132 answer : c\"" + }, + { + "Answer": 24.5, + "Options": "a ) 4.5 , b ) 7.5 , c ) 9.5 , d ) 14.5 , e ) 24.5", + "Correct": "e", + "Explanation": "\"a carpenter worked only 1 day on something that takes him 6 more days . means ; carpenter finishes his work in 7 days . let his buddy finish the same task in x days . respective rates per day : 1 / 7 and 1 / x to complete 1 work : first guy worked for 5 days @ rate = 1 / 7 per day . second one worked for 7 days @ rate = 1 / x per day expression : days * rate = work 5 * 1 / 7 + 7 * 1 / x = 1 5 x + 49 = 7 x 2 x = 49 x = 24.5 days . ans : e\"" + }, + { + "Answer": 60, + "Options": "a ) 65 , b ) 50 , c ) 55 , d ) 60 , e ) 58", + "Correct": "d", + "Explanation": "\"( time ) * ( rate ) = ( distance ) - - > ( rate ) = ( distance ) / ( time ) - - > given : ( rate ) = 240 / t = 420 / ( t + 3 ) - - > 4 / t = 7 / ( t + 3 ) - - > 4 t + 12 = 7 t - - - - > 3 t = 12 . t = 4 - - - - > ( rate ) = 240 / 4 = 60 answer : d\"" + }, + { + "Answer": 24.9980001599872, + "Options": "a ) 28 , b ) 266 , c ) 990 , d ) 25 , e ) 11", + "Correct": "d", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 220 + 280 = 500 m . the time required = d / s = 500 / 20 = 25 sec . answer : d\"" + }, + { + "Answer": 70, + "Options": "a ) 70 , b ) 20 , c ) 30 , d ) 75 , e ) 15", + "Correct": "a", + "Explanation": "\"relative speed = ( 72 - 36 ) * 5 / 18 = 2 * 5 = 10 mps . distance covered in 27 sec = 7 * 10 = 70 m . the length of the faster train = 70 m . answer : a\"" + }, + { + "Answer": 460.0000000000002, + "Options": "a ) s . 380 , b ) s . 600 , c ) s . 460 , d ) s . 400 , e ) s . 480", + "Correct": "c", + "Explanation": "\"explanation : amount of work a can do in 1 day = 1 / 6 amount of work b can do in 1 day = 1 / 8 amount of work a + b can do in 1 day = 1 / 6 + 1 / 8 = 7 / 24 amount of work a + b + c can do = 1 / 3 amount of work c can do in 1 day = 1 / 3 - 7 / 24 = 1 / 24 work a can do in 1 day : work b can do in 1 day : work c can do in 1 day = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 amount to be paid to c = 3680 \u00d7 ( 1 / 8 ) = 460 answer : option c\"" + }, + { + "Answer": 9.99920006399488, + "Options": "a ) 8.5 seconds , b ) 10 seconds , c ) 3.5 seconds , d ) 2.5 seconds , e ) 2.6 seconds", + "Correct": "b", + "Explanation": "\"first convert speed into m / sec speed = 36 * ( 5 / 18 ) = 10 m / sec time = distance / speed = 100 / 10 = 10 seconds answer : b\"" + }, + { + "Answer": 0.325, + "Options": "a ) 9 / 20 , b ) 11 / 20 , c ) 11 / 32 , d ) 13 / 40 , e ) 17 / 40", + "Correct": "d", + "Explanation": "\"the two slowest people work at rates of 1 / 5 and 1 / 8 of the job per hour . the sum of these rates is 1 / 5 + 1 / 8 = 13 / 40 of the job per hour . the answer is d .\"" + }, + { + "Answer": 2400, + "Options": "a ) 90 , b ) 2,400 , c ) 4,500 , d ) 5,400 , e ) 324,000", + "Correct": "b", + "Explanation": "\"together the two machines make 25 + 55 = 80 copies per minute . so , in half an hour they will make 80 * 30 = 2,400 copies . answer : b .\"" + }, + { + "Answer": 63.99999999999999, + "Options": "a ) 30 , b ) 64 , c ) 60 , d ) 70 , e ) 90", + "Correct": "b", + "Explanation": "total vehicle = 2 / 3 of speedster + 1 / 3 of others . speedster convertibles = 2 / 3 total vehicle * 4 / 5 given : 1 / 3 constitutes 40 vehicles . hence 2 / 3 constitutes 80 speedster convertibls = 80 * 4 / 5 = 64 b" + }, + { + "Answer": 3, + "Options": "a ) 6 minutes , b ) 5 minutes , c ) 7 minutes , d ) 3 minutes , e ) 4 minutes", + "Correct": "d", + "Explanation": "earl takes 1 min . for 36 envelopes . ellen takes 3 / 2 mins for the same . so ellen can stuff ( ( 36 ) / ( 3 / 2 ) ) in 1 min . i . e . , 24 envelopes a min . so both of them when work together can stuff 36 + 24 = 60 envelopes in 1 min . for 180 envelopes they will take 180 / 60 mins . i . e . , 3 mins . answer : d" + }, + { + "Answer": 40, + "Options": "a ) 50 , b ) 40 , c ) 30 , d ) 20 , e ) 10", + "Correct": "b", + "Explanation": "\"number of pieces = 3400 / 85 = 40 the answer is b .\"" + }, + { + "Answer": 240, + "Options": "a ) 240 , b ) 277 , c ) 276 , d ) 270 , e ) 281", + "Correct": "a", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec . time = 26 sec . let the length of the train be x meters . then , ( x + 280 ) / 26 = 20 x = 240 m . answer : a\"" + }, + { + "Answer": 30, + "Options": "a ) 40 days , b ) 30 days , c ) 60 days , d ) 70 days , e ) 50 days", + "Correct": "b", + "Explanation": "\"explanation : 10 = ( 15 * x ) / ( 15 + x ) 150 + 10 x = 15 x 5 x = 150 x = 30 answer : option b\"" + }, + { + "Answer": 82.49340052795776, + "Options": "a ) 33 , b ) 72 , c ) 55 , d ) 82.5 , e ) 62", + "Correct": "d", + "Explanation": "\"explanation : t = ( 660 + 165 ) / 36 * 18 / 5 t = 82.5 answer : option d\"" + }, + { + "Answer": 6, + "Options": "a ) 1 minutes , b ) 2 minutes , c ) 3 minutes , d ) 4 minutes , e ) 6 minutes", + "Correct": "e", + "Explanation": "\"it will take 6 minutes for 100 cats to kill 100 rats . 1 cat can kill 1 rat in 6 minutes , so 100 cats can kill 100 rats in 6 minutes answer e\"" + }, + { + "Answer": 65, + "Options": "a ) 46 m , b ) 60 m , c ) 65 m , d ) 78 m , e ) 80 m", + "Correct": "c", + "Explanation": "\"let breadth = x metres . then , length = ( x + 30 ) metres . perimeter = 5300 / 26.5 m = 200 m . 2 [ ( x + 30 ) + x ] = 200 2 x + 30 = 100 2 x = 70 x = 35 . hence , length = x + 30 = 65 m c\"" + }, + { + "Answer": 100, + "Options": "a ) 130 km , b ) 120 km , c ) 100 km , d ) 140 km , e ) none of these", + "Correct": "c", + "Explanation": "\"let the partial distance covered at 40 kmph be x let the another partial distance covered at 60 kmph be ( 250 - x ) thus , x / 40 - ( 250 - x ) / 60 = 5 or , x / 40 + ( 250 - x ) / 60 = 5 or , ( 3 x + 500 - 2 x ) / / 120 = 5 or 500 + x = 600 x = 100 answer : c\"" + }, + { + "Answer": 5.999999999999998, + "Options": "a ) 12 , b ) 6 , c ) 88 , d ) 77 , e ) 14", + "Correct": "b", + "Explanation": "\"1 : 2 / 5 = 5 : 2 2 / 7 * 21 = 6 answer : b\"" + }, + { + "Answer": 331.26666666666665, + "Options": "a ) 381 , b ) 332 , c ) 383 , d ) 334 , e ) 385", + "Correct": "b", + "Explanation": "\"the diff in sec between 1 : 57 : 58 and 3 : 20 : 47 is 4969 sec , 4969 / 13 = 331 . so total 332 times light ll glow answer : b\"" + }, + { + "Answer": 80, + "Options": "a ) 75 % , b ) 80 % , c ) 100 % , d ) 120 % , e ) 125 %", + "Correct": "b", + "Explanation": "b . for m , r = 8 / 2 pi . its capacity = ( 4 pi ) ^ 2 * 10 = 160 pi for b , r = 10 / pi . its capacity = ( 5 pi ) ^ 2 * 8 = 200 pi m / b = 160 pi / 200 pi = 0.8" + }, + { + "Answer": 13.998880089592832, + "Options": "a ) 16.5 , b ) 16.0 , c ) 16.4 , d ) 14 , e ) 16.1", + "Correct": "d", + "Explanation": "\"d = 110 + 170 = 280 m s = 72 * 5 / 18 = 20 t = 280 * 1 / 20 = 14 sec answer : d\"" + }, + { + "Answer": 7.5, + "Options": "a ) 5 hrs , b ) 10 hrs , c ) 7.5 hrs , d ) 20 hrs , e ) 30 hrs", + "Correct": "c", + "Explanation": "\"1 hour he walk 6 km he walk 45 km in = 45 / 6 * 1 = 7.5 hours answer is c\"" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 12 , e ) 14", + "Correct": "d", + "Explanation": "\"lets suppose anne and bruce take a and b hrs working separately so in 1 hour they can together finish 1 / a + 1 / b portion of the work which equals 1 / 4 ( as the work is completed in 4 hours ) after anne doubles her rate of work the portion completed by the both is 1 / a + 2 / b which is equal to q = 1 / 3 ( as the work is completed in q = 3 hours ) solving these 2 equations we can find b as 12 so , d\"" + }, + { + "Answer": 47.99616030717543, + "Options": "a ) 11 , b ) 30 , c ) 99 , d ) 48 , e ) 61", + "Correct": "d", + "Explanation": "speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 800 * 3 / 50 = 48 sec . answer : d" + }, + { + "Answer": 8.000028571387755, + "Options": "a ) 12 , b ) 8 , c ) 88 , d ) 77 , e ) 14", + "Correct": "b", + "Explanation": "\"1 : 2 / 5 = 5 : 2 2 / 7 * 28 = 8 answer : b\"" + }, + { + "Answer": 24, + "Options": "a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 28", + "Correct": "c", + "Explanation": "\"the runner runs the first 20 miles at speed v and the second 20 miles at speed v / 2 . the time t 2 to run the second half must be twice the time t 1 to run the first half . t 2 = 2 * t 1 = t 1 + 12 t 1 = 12 and so t 2 = 24 . the answer is c .\"" + }, + { + "Answer": 50, + "Options": "a ) 10 % , b ) 20 % , c ) 30 % , d ) 40 % , e ) 50 %", + "Correct": "e", + "Explanation": "\"let ' s test x = 4 . . . . on sunday , daniel drove 96 miles at 4 miles / hour . d = ( r ) ( t ) 96 = ( 4 ) ( t ) 96 / 4 = 24 = t it takes 24 hours to drive home on monday , daniel drove the first 32 miles at ( 2 ) ( 4 ) = 8 miles / hour and the rest of the way ( 64 miles ) at 4 / 2 = 2 miles / hour d = ( r ) ( t ) 32 = ( 8 ) ( t ) 32 / 8 = 4 = t it takes 4 hours for the first part d = ( r ) ( t ) 64 = ( 2 ) ( t ) 64 / 2 = 32 = t it takes 32 hours for the second part total time to drive home on monday = 4 + 32 = 36 hours we ' re asked by what percent 36 hours is greater than 32 hours . 36 / 32 = 1.5 , so it is 50 % greater . e\"" + }, + { + "Answer": 210, + "Options": "a ) 150 meter , b ) 145 meter , c ) 140 meter , d ) 135 meter , e ) 210 meter", + "Correct": "e", + "Explanation": "\"explanation : speed = 108 * ( 5 / 18 ) m / sec = 30 m / sec length of train ( distance ) = speed * time = 30 * 7 = 210 meter option e\"" + }, + { + "Answer": 833.3333333333334, + "Options": "a ) 375 m , b ) 750 / 3 m , c ) 2500 / 3 m , d ) 800 m , e ) 300 m", + "Correct": "c", + "Explanation": "\"let length of train = l case - 1 : distance = 2500 + l ( while crossing the bridge ) time = 120 seconds i . e . speed = distance / time = ( 2500 + l ) / 120 case - 2 : distance = l ( while passing the lamp post ) time = 30 seconds i . e . speed = distance / time = ( l ) / 30 but since speed has to be same in both cases so ( 2500 + l ) / 120 = ( l ) / 30 i . e . 4 l = 2500 + l i . e . 3 l = 2500 i . e . l = 2500 / 3 answer : option c\"" + }, + { + "Answer": 12.000000000000002, + "Options": "a ) 12 , b ) 5 , c ) 6 , d ) 8 , e ) 9", + "Correct": "a", + "Explanation": "work done by x in 1 day = 1 / 18 work done by y in 1 day = 1 / 15 work done by y in 5 days = 5 / 15 = 1 / 3 remaining work = 1 \u2013 1 / 3 = 2 / 3 number of days in which x can finish the remaining work = ( 2 / 3 ) / ( 1 / 18 ) = 12 a" + }, + { + "Answer": 265.1515151515152, + "Options": "a ) 140 , b ) 160 , c ) 220 , d ) 250 , e ) 265", + "Correct": "e", + "Explanation": "\"distance to be covered in 1 min . = ( 60 x 1000 ) / ( 60 ) m = 1000 m . circumference of the wheel = ( 2 x ( 22 / 7 ) x 0.60 ) m = 3.77 m . number of revolutions per min . = ( 1000 / 3.77 ) = 265 e\"" + }, + { + "Answer": 265, + "Options": "a ) 230 , b ) 240 , c ) 245 , d ) 250 , e ) 265", + "Correct": "e", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 110 + x ) / 30 = 25 / 2 = > 2 ( 110 + x ) = 750 = > x = 265 m . answer : option e\"" + }, + { + "Answer": 25.333333333333332, + "Options": "a ) 24 , b ) 23.5 , c ) 22 , d ) 21.2 , e ) 25.32", + "Correct": "e", + "Explanation": "\"let t be the number of hours that bob had walked when he met yolanda . then , when they met , bob had walked 4 t miles and yolanda had walked 2 ( t + 1 ) miles . these distances must sum to 40 miles , so 4 t + 2 ( t + 1 ) = 40 , which may be solved for t as follows 4 t + 2 ( t + 1 ) = 40 4 t + 2 t + 2 = 40 6 t = 38 t = 6.33 ( hours ) therefore , bob had walked 4 t = 4 ( 7.6 ) = 25.32 miles when they met . the best answer is e .\"" + }, + { + "Answer": 2.928571428571429, + "Options": "a ) 3.92 days , b ) 1.92 days , c ) 2.12 days , d ) 2.02 days , e ) 2.92 days", + "Correct": "e", + "Explanation": "3 / 14 * 1 + ( 1 + x ) / 5 = 1 x = 2.92 days answer : e" + }, + { + "Answer": 60, + "Options": "a ) 50 m , b ) 60 m , c ) 65 m , d ) 75 m , e ) 80 m", + "Correct": "b", + "Explanation": "\"let breadth = x metres . then , length = ( x + 20 ) metres . perimeter = 5300 m = 200 m . 26.50 2 [ ( x + 20 ) + x ] = 200 2 x + 20 = 100 2 x = 80 x = 40 . hence , length = x + 20 = 60 m b\"" + }, + { + "Answer": 190.01520000000002, + "Options": "a ) 190 metres , b ) 160 metres , c ) 200 metres , d ) 120 metres , e ) 250 metres", + "Correct": "a", + "Explanation": "\"speed of the train , v = 40 km / hr = 40000 / 3600 m / s = 400 / 36 m / s time taken to cross , t = 17.1 s distance covered , d = vt = ( 400 / 36 ) \u00e3 \u2014 17.1 = 190 m distance covered is equal to the length of the train = 190 m correct answer is 190 metres a\"" + }, + { + "Answer": 285, + "Options": "a ) 389 m , b ) 350 m , c ) 285 m , d ) 299 m , e ) 219 m", + "Correct": "c", + "Explanation": "\"speed = 300 / 20 = 15 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 39 = 15 = > x = 285 m . answer : c\"" + }, + { + "Answer": 60, + "Options": "a ) 25 days , b ) 30 days , c ) 60 days , d ) 65 days , e ) 36 days", + "Correct": "c", + "Explanation": "\"explanatory answer step 1 : assign variables and frame equations let jose take ' x ' days to complete the task if he worked alone . let jane take ' y ' days to complete the task if she worked alone . statement 1 of the question : they will complete the task in 20 days , if they worked together . in 1 day , jose will complete 1 / x of the task . in 1 day , jane will complete 1 / yof the task . together , in 1 day they will complete 1 / 20 of the task . therefore , 1 / x + 1 / y = 1 / 20 . . . . ( 1 ) statement 2 of the question : if jose worked alone and completed half the work and then jane takes over and completes the second half , the task will be completed in 45 days . jose will complete half the task in x / 2 days . jane will complete half the task in y / 2 days . \u2234 x / 2 + y / 2 = 45 or , x + y = 90 or x = 90 - y . . . . ( 2 ) step 2 : solve the two equations and find x and y substitute the value of x as ( 90 - y ) in the first equation 1 / 90 \u2212 y + 1 / y = 1 / 20 or y 2 - 90 + 1800 = 0 . the quadratic equation factorizes as ( y - 60 ) ( y - 30 ) = 0 so , y = 60 or y = 30 . if y = 60 , then x = 90 - y = 90 - 60 = 30 and if y = 30 , then x = 90 - y = 90 - 30 = 60 . the question clearly states that jane is more efficient than jose . therefore , jane will take lesser time than jose . hence , jose will take 60 days to complete the task if he worked alone and jane will take 30 days to complete the same task . choice c\"" + }, + { + "Answer": 25, + "Options": "a ) 20 mph , b ) 25 mph , c ) 30 mph , d ) 35 mph , e ) 40 mph", + "Correct": "b", + "Explanation": "explanation : change the times in the problem to minutes first . speed of airplane from dallas to phoenix : ( 900 / 135 ) x 60 = 400 mph speed of airplane from phoenix to dallas : ( 900 / 120 ) x 60 = 450 mph wind speed : 1 / 2 ( 450 - 400 ) = 50 / 2 = 25 mph answer : option b" + }, + { + "Answer": 10.000000000000002, + "Options": "['a ) 10 %', 'b ) 80 %', 'c ) 100 %', 'd ) 120 %', 'e ) 125 %']", + "Correct": "a", + "Explanation": "for a , r = 4 / 2 pi . its capacity = ( 2 pi ) ^ 2 * 5 = 20 pi for b , r = 10 / pi . its capacity = ( 5 pi ) ^ 2 * 8 = 200 pi a / b = 20 pi / 200 pi = 0.1 a" + }, + { + "Answer": 31.11111111111111, + "Options": "a ) 15.5 sec , b ) 8.4 sec , c ) 33.6 sec , d ) 31.11 sec , e ) 16.8 sec", + "Correct": "d", + "Explanation": "q - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | - - - - - - - - - - - - - - - - - - - - - - - - - - - - y car a ( 20 mps ) - - - - - - - - - - - - - - - - - - - - - - - - - > p < - - - - - - - - - - - - - - - car b ( 15 mps ) let 2 cars meet each other at point p in t seconds . car 1 covers distance = 20 t . car 2 covers distance = 15 t . so , total distance qy = 35 t . from p , car 1 reaches onto y in 10 secs . so it covers 15 t further . so , 15 t / 20 = 10 so t = 40 / 3 sec and total distance = ( 35 * 40 ) / 3 hence car 2 will cover total distance in ( 35 * 40 ) / ( 3 * 15 ) = 31.11 sec approx . answer d" + }, + { + "Answer": 11.25, + "Options": "a ) 8.78 , b ) 11.25 , c ) 8.75 , d ) 8.98 , e ) 8.28", + "Correct": "b", + "Explanation": "\"( 5 * 4.5 ) / 2 = 11.25 answer : b\"" + }, + { + "Answer": 6, + "Options": "a ) 1 km , b ) 3 km , c ) 6 km , d ) 5 km , e ) 6 km", + "Correct": "c", + "Explanation": "distance = 10 * 36 / 60 = 6 km answer is c" + }, + { + "Answer": 1250, + "Options": "a ) 1000 , b ) 2250 , c ) 60 , d ) 45 , e ) 1250", + "Correct": "e", + "Explanation": "\"1000 - - - - 60 1000 - - - - 45 x - - - - - 20 x * 20 = 1000 * 45 x = 2250 1000 - - - - - - - 1250 answer : e\"" + }, + { + "Answer": 55, + "Options": "a ) 17 , b ) 97 , c ) 18 , d ) 55 , e ) 72", + "Correct": "d", + "Explanation": "\"( 45 * 8 ) / 30 = ( x * 6 ) / 50 = > x = 100 100 \u2013 45 = 55 answer : d\"" + }, + { + "Answer": 30, + "Options": "a ) 36 mins , b ) 35 mins , c ) 40 mins , d ) 32 mins , e ) 30 mins", + "Correct": "e", + "Explanation": "the last 30 minutes only pipe a was open . since it needs 2 hour to fill the tank , then in 30 minutes it fills 1 / 4 th of the tank , thus 3 / 4 of the tank is filled with both pipes open . the combined rate of two pipes is 1 + 2 = 3 tanks / hour , therefore to fill 3 / 4 th of the tank they need ( time ) = ( work ) / ( rate ) = ( 3 / 4 ) / 3 = 1 / 4 hours = 15 minutes . total time = 15 + 15 = 30 minutes . answer : e" + }, + { + "Answer": 70, + "Options": "a ) 48 kmph , b ) 50 kmph , c ) 52 kmph , d ) 56 kmph , e ) 70 kmph", + "Correct": "e", + "Explanation": "\"time = 6 distence = 630 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 630 / 9 = 70 kmph e\"" + }, + { + "Answer": 106, + "Options": "a ) 116 kmph , b ) 106 kmph , c ) 186 kmph , d ) 126 kmph , e ) 176 kmph", + "Correct": "b", + "Explanation": "explanation : as we know that speed = distance / time for average speed = total distance / total time taken thus , total distance = 325 + 470 = 795 km thus , total speed = 7.5 hrs average speed = 795 / 7.5 = > 106 kmph . answer : b" + }, + { + "Answer": 960, + "Options": "a ) 914.2 hours , b ) 900 hours , c ) 915 hours , d ) 905 hours , e ) 960 hours", + "Correct": "e", + "Explanation": "\"explanation : speed downstream = ( 16 + 2 ) = 18 kmph speed upstream = ( 16 - 2 ) = 14 kmph total time taken = 7560 / 18 + 7560 / 14 = 420 + 540 = 960 hours answer : option e\"" + }, + { + "Answer": 30, + "Options": "a ) 15 min , b ) 10 min , c ) 12 min , d ) 30 min , e ) 18 min", + "Correct": "d", + "Explanation": "\"speed of the bus without stoppage = 32 km / hr speed of the bus with stoppage = 16 km / hr difference in speed = 16 km / hr so , the time taken in the stoppages = time taken to cover 16 km = ( 16 / 32 ) hr = 1 / 2 hr = 30 min answer : d\"" + }, + { + "Answer": 112, + "Options": "a ) 65 mtr . , b ) 52 mtr , c ) 70 mtr . , d ) 112 mtr . , e ) 17 mtr .", + "Correct": "d", + "Explanation": "\"20 men is 6 days can build 112 metres 25 men in 3 days can build = 112 * ( 40 / 20 ) x ( 3 / 6 ) = 112 meters answer : d .\"" + }, + { + "Answer": 400, + "Options": "a ) 150 , b ) 88 , c ) 480 , d ) 288 , e ) 400", + "Correct": "e", + "Explanation": "\"speed = 180 * ( 5 / 18 ) m / sec = 50 m / sec length of train ( distance ) = speed * time 50 * 8 = 400 meter answer : e\"" + }, + { + "Answer": 8, + "Options": "a ) 12 , b ) 10 , c ) 8 , d ) 6 , e ) 5", + "Correct": "c", + "Explanation": "explanation : more persons , less days ( indirect proportion ) more length of the wall , more days ( direct proportion ) \u21d2 8 \u00d7 100 \u00d7 42 = 30 \u00d7 140 \u00d7 x \u21d2 x = ( 8 \u00d7 100 \u00d7 42 ) / ( 30 \u00d7 140 ) = ( 8 \u00d7 100 \u00d7 14 ) / ( 10 \u00d7 140 ) = ( 8 \u00d7 100 ) / ( 10 \u00d7 10 ) = 8 . answer : option c" + }, + { + "Answer": 97.5, + "Options": "a ) 104 , b ) 55 , c ) 66 , d ) 98 , e ) 100", + "Correct": "d", + "Explanation": "390 / 4 = 98 kmph answer : d" + }, + { + "Answer": 255, + "Options": "a ) 235 miles . , b ) 245 miles . , c ) 255 miles . , d ) 265 miles . , e ) 275 miles .", + "Correct": "c", + "Explanation": "\"the total distance d traveled by john is given by d = 45 * 2 + 3 * 55 = 255 miles . answer c\"" + }, + { + "Answer": 6, + "Options": "a ) 8 , b ) 10 , c ) 15 , d ) 6 , e ) 19", + "Correct": "d", + "Explanation": "\"30 * 25 = 750 455 - - - - - - - - - - - 195 25 + 7.50 = 32.5 195 / 32.5 = 6 d\"" + }, + { + "Answer": 18, + "Options": "a ) 11 , b ) 17 , c ) 10 , d ) 17 , e ) 18", + "Correct": "e", + "Explanation": "the work done in the first two days = 1 / 12 + 1 / 36 = 1 / 9 so , 9 such two days are required to finish the work . i . e . , 18 days are required to finish the work . answer : e" + }, + { + "Answer": 235.02999999999997, + "Options": "a ) 270 m , b ) 245 m , c ) 235 m , d ) 220 m , e ) 240 m", + "Correct": "c", + "Explanation": "\"explanation : assume the length of the bridge = x meter total distance covered = 140 + x meter total time taken = 30 s speed = total distance covered / total time taken = ( 140 + x ) / 30 m / s = > 45 \u00e3 \u2014 ( 10 / 36 ) = ( 140 + x ) / 30 = > 45 \u00e3 \u2014 10 \u00e3 \u2014 30 / 36 = 140 + x = > 45 \u00e3 \u2014 10 \u00e3 \u2014 10 / 12 = 140 + x = > 15 \u00e3 \u2014 10 \u00e3 \u2014 10 / 4 = 140 + x = > 15 \u00e3 \u2014 25 = 140 + x = 375 = > x = 375 - 140 = 235 answer : option c\"" + }, + { + "Answer": 29.999999999999996, + "Options": "a ) 30 days , b ) 65 days , c ) 86 days , d ) 45 days , e ) 17 days", + "Correct": "a", + "Explanation": "10 / 30 + 10 / 30 + 10 / x = 1 x = 30 days answer : a" + }, + { + "Answer": 90, + "Options": "a ) 22 , b ) 27 , c ) 236 , d ) 90 , e ) 81", + "Correct": "d", + "Explanation": "let the speed of the slower train be xx km / hr . then the speed of the faster train is ( x + 10 ) ( x + 10 ) km / hr . in 2 hours they cover 2 x 2 x km and 2 ( x + 10 ) 2 ( x + 10 ) km , respectively . therefore if they did n ' t meet yet , the whole distance from a to b is 2 x + 2 ( x + 10 ) + 40 = 4 x + 602 x + 2 ( x + 10 ) + 40 = 4 x + 60 km . however , if they already met and continued to move , the distance would be 2 x + 2 ( x + 10 ) \u2212 40 = 4 x \u2212 202 x + 2 ( x + 10 ) \u2212 40 = 4 x \u2212 20 km . so we get the following equations : 4 x + 60 = 3004 x + 60 = 300 4 x = 2404 x = 240 x = 60 x = 60 or 4 x \u2212 20 = 3004 x \u2212 20 = 300 4 x = 3204 x = 320 x = 80 x = 80 hence the speed of the slower train is 60 km / hr or 80 km / hr and the speed of the faster train is 70 km / hr or 90 km / hr . answer : d" + }, + { + "Answer": 54.995600351971845, + "Options": "a ) 33 , b ) 44 , c ) 55 , d ) 77 , e ) 22", + "Correct": "c", + "Explanation": "\"t = ( 660 + 165 ) / 54 * 18 / 5 t = 55 answer : c\"" + }, + { + "Answer": 0.5, + "Options": "a ) 1 / 2 , b ) 1 / 10 , c ) 1 / 18 , d ) 1 / 16 , e ) 1 / 11", + "Correct": "a", + "Explanation": "\"3 m + 8 w = 6 m + 2 w 3 m = 6 w 1 m = 2 w therefore 3 m + 8 w = 14 w 2 m + 3 w = 7 w answer is 7 / 14 = 1 / 2 answer : a\"" + }, + { + "Answer": 9280, + "Options": "['a ) 15840', 'b ) 9280', 'c ) 2667', 'd ) 8766', 'e ) 66711']", + "Correct": "b", + "Explanation": "a 2 = 53824 = > a = 232 4 a = 928 928 * 10 = 9280 answer : b" + }, + { + "Answer": 7, + "Options": "a ) 3 days , b ) 8 days , c ) 9 days , d ) 11 days , e ) 7 days", + "Correct": "e", + "Explanation": "that is , 1 person can do one time of the work in 7 days . therefore , 9 persons can do 9 times work in the same 7 days itself . option ' e '" + }, + { + "Answer": 20, + "Options": "a ) 10 , b ) 20 , c ) 25 , d ) 30 , e ) 37.5", + "Correct": "b", + "Explanation": "total distance = 100 miles ( easier to work with % ) 75 % of the distance = 75 miles 25 % of the distance = 25 miles 1 st part of the trip \u2192 75 / 60 = 1.25 2 nd part of the trip \u2192 25 / s = t total trip \u2192 ( 75 + 25 ) / 40 = 1.25 + t \u00bb 100 / 40 = 1.25 + t \u00bb 2.5 = 1.25 + t \u00bb t = 1.25 back to 2 nd part of the trip formula : 25 / s = 1.25 \u00bb s = 20 ans b" + }, + { + "Answer": 5.999520038396929, + "Options": "a ) 2 second , b ) 4 second , c ) 6 second , d ) 8 second , e ) 10 second", + "Correct": "c", + "Explanation": "explanation : from the given question , we will first calculate the speed of train relative to man , = > ( 60 + 6 ) = 66 km / hr ( we added 6 because man is running opposite ) convert it in metre / second = 66 \u00e3 \u2014 5 / 18 = 55 / 3 m / sec time it will take to pass man = 110 \u00e3 \u2014 3 / 55 = 6 seconds answer is c" + }, + { + "Answer": 0.6, + "Options": "a ) 2 / 5 , b ) 3 / 5 , c ) 8 / 15 , d ) 1 / 2 , e ) 7 / 5", + "Correct": "b", + "Explanation": "3 pieces of 1 / 5 length and two piece each of 1 / 15 and 2 / 15 lengths . removing one piece each from pieces of each kind of lengths the all that will remain will be 2 pieces of 1 / 5 i . e 2 / 5 , 1 piece of 1 / 15 , and 1 piece of 2 / 15 which gives us 2 / 5 + 1 / 15 + 2 / 15 - - - - - > 3 / 5 answer is b" + }, + { + "Answer": 11, + "Options": "a ) 9 , b ) 8 , c ) 11 , d ) 8.5 , e ) 6", + "Correct": "c", + "Explanation": "\"33 / 3 = 11 answer : c\"" + }, + { + "Answer": 250, + "Options": "a ) 150 , b ) 188 , c ) 250 , d ) 288 , e ) 300", + "Correct": "c", + "Explanation": "\"speed = 50 * ( 5 / 18 ) m / sec = 125 / 9 m / sec length of train ( distance ) = speed * time ( 125 / 9 ) * 18 = 250 meter answer : c\"" + }, + { + "Answer": 2.5263157894736845, + "Options": "a ) 12 / 28 , b ) 48 / 19 , c ) 16 / 48 , d ) 18 / 48 , e ) 12 / 64", + "Correct": "b", + "Explanation": "\"one day work of a and b = 1 / 2 one day work of b and c = 1 / 6 one day work of c and a = 1 / 8 2 ( a + b + c ) = 1 / 2 + 1 / 6 + 1 / 8 2 ( a + b + c ) = 19 / 24 ( a + b + c ) = 19 / 48 number of days required = 48 / 19 days . answer : b\"" + }, + { + "Answer": 26.99784017278618, + "Options": "a ) 10.6 , b ) 10.9 , c ) 10.4 , d ) 27 , e ) 10.1", + "Correct": "d", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 250 + 500 = 750 m . required time = 750 * 9 / 250 = 27 sec answer : d\"" + }, + { + "Answer": 2, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 2 , e ) 8", + "Correct": "d", + "Explanation": "\"2 / 4 + ( 2 + x ) / 8 = 1 = > x = 2 days answer : d\"" + }, + { + "Answer": 25, + "Options": "a ) 65 seconds , b ) 46 seconds , c ) 25 seconds , d ) 97 seconds , e ) 26 seconds", + "Correct": "c", + "Explanation": "\"speed = 72 km / hr = 72 * ( 5 / 18 ) m / sec = 20 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 * ( 1 / 20 ) = 25 seconds answer : c\"" + }, + { + "Answer": 12, + "Options": "a ) 23 sec , b ) 15 sec , c ) 12 sec , d ) 11 sec , e ) 16 sec", + "Correct": "c", + "Explanation": "\"c 12 sec speed of the bullet train relative to man = ( 59 + 7 ) kmph = 66 * 5 / 18 m / sec = 55 / 3 m / sec . time taken by the bullet train to cross the man = time taken by it to cover 220 m at ( 55 / 3 ) m / sec = ( 220 * 3 / 55 ) sec = 12 sec\"" + }, + { + "Answer": 2.5, + "Options": "a ) 2.66 cm , b ) 2.5 cm , c ) 3 cm , d ) 3.5 cm , e ) 4 cm", + "Correct": "b", + "Explanation": "4 / 3 \u03c0 * 3 * 3 * 3 = 4 / 3 \u03c0 [ ( 3 / 2 ) 3 + 23 + r 3 ] r = 1.25 d = 2.5 answer : b" + }, + { + "Answer": 425.034, + "Options": "a ) 275 m , b ) 360 m , c ) 375 m , d ) 425 m , e ) 440 m", + "Correct": "d", + "Explanation": "\"the distance traveled in 30 sec = 51 * ( 5 / 18 ) * 30 = 425 m answer : d\"" + }, + { + "Answer": 207, + "Options": "a ) 63 , b ) 72 , c ) 144 , d ) 216 , e ) 207", + "Correct": "e", + "Explanation": "\"20 typists can type 46 letters , so 30 typists can type = 46 * 30 / 20 46 * 30 / 20 letters can be typed in 20 mins . in 60 mins typist can type = 46 * 30 * 60 / 20 * 20 = 207 e is the answer\"" + }, + { + "Answer": 52.99696024318054, + "Options": "a ) 47 , b ) 49 , c ) 51 , d ) 53 , e ) 55", + "Correct": "d", + "Explanation": "\"let the length of the train be x meters . when a train crosses an electric pole , the distance covered is its own length x . speed = 36 km / h = 36000 m / 3600 s = 10 m / s x = 15 * 10 = 150 m . the time taken to pass the platform = ( 150 + 380 ) / 10 = 53 seconds the answer is d .\"" + }, + { + "Answer": 350, + "Options": "a ) 350 m , b ) 490 m , c ) 115 m , d ) 210 m , e ) 150 m", + "Correct": "a", + "Explanation": "\"speed = 60 * 5 / 18 = 50 / 3 m / sec length of the train = speed * time = 50 / 3 * 21 = 350 m answer : a\"" + }, + { + "Answer": 10.5, + "Options": "a ) 10.5 , b ) 15 , c ) 25.5 , d ) 30 , e ) 60", + "Correct": "a", + "Explanation": "the time it takes darcy to walk to work is ( 1.5 / 3 ) * 60 = 30 minutes the time it takes darcy to take the train is ( 1.5 / 20 ) * 60 + x = 4.5 + x minutes it takes 15 minutes longer to walk , so 30 = 4.5 + x + 15 x = 10.5 minutes answer : a" + }, + { + "Answer": 7.199424046076314, + "Options": "a ) 6.18 , b ) 5.18 , c ) 4.18 , d ) 4.18 , e ) 7.18", + "Correct": "e", + "Explanation": "\"sol . speed = [ 60 x 5 / 18 ] m / sec = 16.7 m / sec . time taken = ( 120 / 16.7 ) sec = 7.18 sec . answer e\"" + }, + { + "Answer": 600, + "Options": "a ) 300 , b ) 800 , c ) 1100 , d ) 600 , e ) 1900", + "Correct": "d", + "Explanation": "\"( 1 / 5 ) * 1000 = 200 remaining = 1000 - 200 = 800 ( 1 / 4 ) of remaining = ( 1 / 4 ) * 800 = 200 remaining now = 800 - 200 = 600 answer : option d\"" + }, + { + "Answer": 2.5, + "Options": "a ) 2.5 km , b ) 3 km , c ) 4 km , d ) 5.6 km , e ) 6.5 km", + "Correct": "a", + "Explanation": "\"let the distance be x t 1 = x / 5 hr t 2 = x / 10 hr difference in time = 5 + 10 = 15 = 1 / 4 hr x / 5 - x / 10 = 1 / 4 x / 10 = 1 / 4 x = 2.5 km answer is a\"" + }, + { + "Answer": 8, + "Options": "a ) 4 hours , b ) 5 hours , c ) 6 hours , d ) 7 hours , e ) 8 hours", + "Correct": "e", + "Explanation": "\"explanation : it is very important to check , if the boat speed given is in still water or with water or against water . because if we neglect it we will not reach on right answer . i just mentioned here because mostly mistakes in this chapter are of this kind only . lets see the question now . speed downstream = ( 16 + 5 ) = 21 kmph time = distance / speed = 168 / 21 = 8 hours option e\"" + }, + { + "Answer": 1000, + "Options": "a ) 1898 , b ) 1098 , c ) 1000 , d ) 2008 , e ) 1082", + "Correct": "c", + "Explanation": "along one edge , the number of small cubes that can be cut = 100 / 10 = 10 along each edge 10 cubes can be cut . ( along length , breadth and height ) . total number of small cubes that can be cut = 10 * 10 * 10 = 1000 answer : c" + }, + { + "Answer": 281.59999999999997, + "Options": "a ) 271.34 m , b ) 281.34 m , c ) 291.34 m , d ) 301.34 m , e ) 311.34 m", + "Correct": "b", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 200 resolutions . = 200 * 2 * 22 / 7 * 22.4 = 28134 cm = 281.34 m answer : b\"" + }, + { + "Answer": 8, + "Options": "a ) 4 , b ) 7 , c ) 8 , d ) 12 , e ) 14", + "Correct": "c", + "Explanation": "\"8 workers can build 1 car per day on average . 1 worker can build 1 / 8 of a car per day . 7 workers can build 7 / 8 car per day . the time required to build 7 cars is 7 / ( 7 / 8 ) = 8 days the answer is c .\"" + }, + { + "Answer": 24, + "Options": "a ) 18 , b ) 20 , c ) 22 , d ) 24 , e ) 25", + "Correct": "d", + "Explanation": "on the way down , the rate is 1.5 * 8 = 12 miles per day . the distance of the route down the mountain is 2 * 12 = 24 miles . the answer is d ." + }, + { + "Answer": 150, + "Options": "a ) 150 , b ) 388 , c ) 266 , d ) 299 , e ) 261", + "Correct": "a", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 9 = 150 meter . answer : a\"" + }, + { + "Answer": 115, + "Options": "a ) s . 109 , b ) s . 115 , c ) s . 100 , d ) s . 103 , e ) s . 102", + "Correct": "b", + "Explanation": "\"3 x 4 x 5 x 6 9 4 18 x + 36 x + 20 x = 1702 74 x = 1702 = > x = 23 5 x = 115 rs . answer : b\"" + }, + { + "Answer": 17.5, + "Options": "a ) 7.5 , b ) 12.5 , c ) 17.5 , d ) 22.5 , e ) 27.5", + "Correct": "c", + "Explanation": "in 5 minutes , the cyclist travels a distance of ( 5 / 60 ) * 18 = 1.5 km . the time it takes the hiker to complete this distance is 1.5 / 4 hours = 22.5 minutes the cyclist needs to wait 22.5 - 5 = 17.5 minutes the answer is c ." + }, + { + "Answer": 203.125, + "Options": "a ) 175 seconds , b ) 195 seconds , c ) 155 seconds , d ) 115 seconds , e ) 203 seconds", + "Correct": "e", + "Explanation": "\"explanation : let the time required by x seconds . then , more cloth means more time ( direct proportion ) so , 0.128 : 1 : : 26 : x = > x = { \\ color { blue } \\ frac { 26 \\ times 1 } { 0.128 } } = > x = 203.13 so time will be approx 203 seconds answer : e\"" + }, + { + "Answer": 32, + "Options": "a ) 30 , b ) 32 , c ) 35 , d ) 36 , e ) 40", + "Correct": "b", + "Explanation": "\"the time for the first part of the trip was 35 / 48 hours . the time for the second part of the trip was 35 / 24 hours . the total time fro the trip was 35 / 48 + 35 / 24 = 105 / 48 = 35 / 16 hours . the average speed for the trip was 70 / ( 35 / 16 ) = 32 kph the answer is b .\"" + }, + { + "Answer": 20, + "Options": "a ) 20 days , b ) 65 days , c ) 86 days , d ) 45 days , e ) 17 days", + "Correct": "a", + "Explanation": "\"10 / 40 + 10 / 40 + 10 / x = 1 x = 20 days answer : a\"" + }, + { + "Answer": 28, + "Options": "a ) 22 seconds , b ) 12 seconds , c ) 10 seconds , d ) 18 seconds , e ) 28 seconds", + "Correct": "e", + "Explanation": "\"b runs 56 m in 7 sec . = > b runs 280 m in 7 / 56 * 280 = 35 seconds since a beats b by 7 seconds , a runs 280 m in ( 35 - 7 ) = 28 seconds hence , a ' s time over the course = 28 seconds answer : e\"" + }, + { + "Answer": 115, + "Options": "a ) 167 sec , b ) 190 sec , c ) 176 sec , d ) 115 sec , e ) 123 sec", + "Correct": "d", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 10 ) / 80 = 125 sec . time taken by a = 125 - 10 = 115 sec . answer : d\"" + }, + { + "Answer": 3.4545454545454546, + "Options": "a ) 6.0 mile , b ) 3.0 mile , c ) 4.0 mile , d ) 3.45 mile , e ) 12 mile", + "Correct": "d", + "Explanation": "\"ss - stacy ' s speed = 6 m / hr sh - heather ' s speed = 5 m / hr in 24 minutes stacy will cover = ( 24 / 60 ) * 6 = 2.4 miles now since both are walking in opposite directions , add their speeds - 6 + 5 = 11 m / hr and distance to cover is 10 - 2.4 = 7.6 time taken = distance / speed = 7.6 / 11 = 0.69 hrs heather will cover = 5 * 0.69 = 3.45 miles . answer d\"" + }, + { + "Answer": 33, + "Options": "a ) 22 , b ) 37 , c ) 30 , d ) 33 , e ) 18", + "Correct": "d", + "Explanation": "\"us = 26 ds = 40 m = ( 40 + 26 ) / 2 = 33 answer : d\"" + }, + { + "Answer": 30, + "Options": "a ) 116 , b ) 25 , c ) 30 , d ) 24 , e ) 15", + "Correct": "c", + "Explanation": "\"hexagon . it means 6 equal sides . p = 5 + 5 + 5 + 5 + 5 + 5 = 10 + 10 + 10 = 30 inches answer c\"" + }, + { + "Answer": 0.1875, + "Options": "a ) 3 / 4 , b ) 11 / 16 , c ) 7 / 8 , d ) 3 / 16 , e ) 5 / 16", + "Correct": "d", + "Explanation": "deepak : 45 / 60 = 3 / 4 rajeev : 15 / 60 = 1 / 4 as these are independent events total probability = ( 3 / 4 ) * ( 1 / 4 ) = 3 / 16 answer : d" + }, + { + "Answer": 36, + "Options": "a ) 19 , b ) 36 , c ) 11 , d ) 19 , e ) 114", + "Correct": "b", + "Explanation": "\"suppose a , b and c take x , x / 2 and x / 3 respectively to finish the work . then , ( 1 / x + 2 / x + 3 / x ) = 1 / 6 6 / x = 1 / 6 = > x = 36 so , b takes 18 hours to finish the work . answer : b\"" + }, + { + "Answer": 48.997200223982084, + "Options": "a ) 43 , b ) 45 , c ) 47 , d ) 49 , e ) 51", + "Correct": "d", + "Explanation": "\"let the length of the train be x meters . when a train crosses an electric pole , the distance covered is its own length x . speed = 36 km / h = 36000 m / 3600 s = 10 m / s x = 14 * 10 = 140 m . the time taken to pass the platform = ( 140 + 350 ) / 10 = 49 seconds the answer is d .\"" + }, + { + "Answer": 56, + "Options": "a ) 56 seconds , b ) 18 seconds , c ) 40 seconds , d ) 19 seconds , e ) 45 seconds", + "Correct": "a", + "Explanation": "\"speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 560 + 140 = 700 meter time = distance / speed = 700 * ( 2 / 25 ) = 56 seconds answer : a\"" + }, + { + "Answer": 14, + "Options": "a ) 5 . , b ) 10 . , c ) 14 . , d ) 15 . , e ) 20 .", + "Correct": "c", + "Explanation": "\"time is in the ratio 2 : 1 : : to : fro office therefore , 2 x + 1 x = 6 hrs time take to come back - 2 hrs , distance travelled - 28 km = > speed = 14 kmph c\"" + }, + { + "Answer": 344, + "Options": "['a ) 296', 'b ) 252', 'c ) 344', 'd ) 388', 'e ) none of these']", + "Correct": "c", + "Explanation": "let the four numbers be x , x + 2 , x + 4 and x + 6 . = > x + x + 2 + x + 4 + x + 6 = 36 = > 4 x + 12 = 36 = > x = 6 the numbers are 6 , 8 , 10 and 12 . sum of their squares = 62 + 82 + 102 + 122 = 36 + 64 + 100 + 144 = 344 . answer : c" + }, + { + "Answer": 13.999999999999998, + "Options": "a ) 8 , b ) 9 , c ) 11 , d ) 14 , e ) 15", + "Correct": "d", + "Explanation": "\"the work done by p in 1 day = 1 / 24 let work done by q in 1 day = q q \u00d7 ( 140 / 100 ) = 1 / 24 q = 100 / ( 24 \u00d7 140 ) = 10 / ( 24 \u00d7 14 ) the work done by p and q in 1 day = 1 / 24 + 10 / ( 24 \u00d7 14 ) = 24 / ( 24 \u00d7 14 ) = 1 / 14 p and q together can do the work in 14 days . the answer is d .\"" + }, + { + "Answer": 48, + "Options": "a ) a ) 45 , b ) b ) 33 , c ) c ) 48 , d ) d ) 55 , e ) e ) 61", + "Correct": "c", + "Explanation": "\"let y be the balance distance to be covered and x be the former speed . a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late so , y / ( 3 x / 4 ) - y / x = 35 / 60 4 y / 3 x - y / x = 7 / 12 y / x ( 4 / 3 - 1 ) = 7 / 12 y / x * 1 / 3 = 7 / 12 y / x = 7 / 4 4 y - 7 x = 0 . . . . . . . . 1 had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late so , ( y - 24 ) / ( 3 x / 4 ) - ( y - 24 ) / x = 25 / 60 4 ( y - 24 ) / 3 x - ( y - 24 ) / x = 5 / 12 ( y - 24 ) / x ( 4 / 3 - 1 ) = 5 / 12 ( y - 24 ) / x * 1 / 3 = 5 / 12 ( y - 24 ) * 12 = 3 x * 5 ( y - 24 ) * 4 = 5 x 4 y - 5 x = 96 . . . . . . . 2 eq 2 - eq 1 2 x = 96 x = 48 = y ans = c\"" + }, + { + "Answer": 12, + "Options": "a ) 77 days , b ) 55 days , c ) 12 days , d ) 33 days , e ) 11 days", + "Correct": "c", + "Explanation": "2 c = 1 / 5 + 1 / 15 \u2013 1 / 10 = 1 / 6 c = 1 / 12 = > 12 days answer : c" + }, + { + "Answer": 100, + "Options": "a ) 50 , b ) 20 , c ) 30 , d ) 100 , e ) 15", + "Correct": "d", + "Explanation": "\"men required to finish the work in 4 days = 20 * 20 / 4 = 100 answer is d\"" + }, + { + "Answer": 28.5, + "Options": "a ) $ 30 , b ) $ 54 , c ) $ 48.32 , d ) $ 44.10 , e ) $ 9.60", + "Correct": "c", + "Explanation": "4.75 * 6 = 28.50 . answer is c ." + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 5", + "Correct": "c", + "Explanation": "\"the sum of three consecutive integers can be written as n + ( n + 1 ) + ( n + 2 ) = 3 n + 3 if the sum is 24 , we need to solve the equation 3 n + 3 = 21 ; = > 3 n = 18 ; = > n = 6 the greatest of the three numbers is therefore 6 + 2 = 8 answer : c\"" + }, + { + "Answer": 56, + "Options": "a ) 48 hours , b ) 51 hours , c ) 36 hours , d ) 56 hours , e ) none", + "Correct": "d", + "Explanation": "\"sol . speed upstream = 6 kmph ; speed downstream = 10 kmph . \u2234 total time taken = [ 210 / 6 + 210 / 10 ] hours = 56 hours . answer d\"" + }, + { + "Answer": 1682.3228659973342, + "Options": "a ) 2998 , b ) 2799 , c ) 2890 , d ) 1683 , e ) 2780", + "Correct": "d", + "Explanation": "\"22 / 7 * 14 * 3 / 2 * 3 / 2 = 99 m 2 99 * 17 = 1683 answer : d\"" + }, + { + "Answer": 14.998800095992323, + "Options": "a ) 8 , b ) 6 , c ) 5 , d ) 15 , e ) 1", + "Correct": "d", + "Explanation": "\"speed of train relative to man = 60 + 6 = 66 km / hr . = 66 * 5 / 18 = 55 / 3 m / sec . time taken to pass the men = 275 * 3 / 55 = 15 sec . answer : d\"" + }, + { + "Answer": 18, + "Options": "a ) 9 , b ) 10 , c ) 12 , d ) 15 , e ) 18", + "Correct": "e", + "Explanation": "for the 6 minutes the car continues to overtake the cyclist , she is going at 45 miles per hour faster than the cyclist . once the car stops , the cyclist is going at 15 miles per hour while the car is at rest so the amount of time the cyclist will take to cover the distance between them is going to be in the ratio of the relative speeds . 45 / 15 * 6 or 18 minutes answer is ( e )" + }, + { + "Answer": 0.25, + "Options": "['a ) 1 / 2', 'b ) 1 / 3', 'c ) 1 / 4', 'd ) 1 / 5', 'e ) 1 / 6']", + "Correct": "c", + "Explanation": "the volume of water in the tank is h * l * b = 16 cubic feet . since h = 1 , then l * b = 16 and l = b = 4 . since the tank is cubical , the capacity of the tank is 4 * 4 * 4 = 64 . the ratio of the water in the tank to the capacity is 16 / 64 = 1 / 4 the answer is c ." + }, + { + "Answer": 7.348377647029618, + "Options": "a ) 7.16 , b ) 7.16 , c ) 7.12 , d ) 7.35 , e ) 7.11", + "Correct": "d", + "Explanation": "\"t = ( 131 + 165 ) / ( 80 + 65 ) * 18 / 5 t = 7.35 answer : d\"" + }, + { + "Answer": 255, + "Options": "a ) 10 m , b ) 255 m , c ) 245 m , d ) 19 m , e ) 27 m", + "Correct": "b", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 120 + x ) / 30 = 25 / 2 = > 2 ( 120 + x ) = 750 = > x = 255 m . answer : b\"" + }, + { + "Answer": 8.75, + "Options": "['a ) 0.35 cm 2', 'b ) 17.5 cm 2', 'c ) 8.75 cm 2', 'd ) 55 cm 2', 'e ) 50 cm 2']", + "Correct": "c", + "Explanation": "explanation : ( 5 * 3.5 ) / 2 = 8.75 answer is c" + }, + { + "Answer": 3, + "Options": "a ) 2 , b ) 3 , c ) 6 , d ) 8 , e ) 10", + "Correct": "b", + "Explanation": "\"180 / 10 = 18 . the difference is 18 - 15 = 3 . answer b\"" + }, + { + "Answer": 2.6, + "Options": "a ) 2 days , b ) 5 / 2 days , c ) 13 / 5 days , d ) 3 days , e ) none of these", + "Correct": "c", + "Explanation": "explanation : let the required number of days be x . then , more pumps , less days ( indirect proportion ) less working hrs / day , more days ( indirect proportion ) pumps 196 : 49 working hrs / day 5 : 8 : : 13 / 2 : x 96 x 5 x x = 49 x 8 x 13 / 2 x = 49 x 8 x 13 / 2 x 1 / ( 196 x 5 ) x = 13 / 5 answer c" + }, + { + "Answer": 30000, + "Options": "a ) 16000 , b ) 18000 , c ) 20000 , d ) 30000 , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : number of bricks = courtyard area / 1 brick area = ( 1800 \u00e3 \u2014 1200 / 12 \u00e3 \u2014 6 ) = 30000 option d\"" + }, + { + "Answer": 2, + "Options": "a ) 2 kmph , b ) 3 kmph , c ) 4 kmph , d ) 5 kmph , e ) 6 kmph", + "Correct": "a", + "Explanation": "if speed ( in kmph ) of the boat = b and current = c , then in downstream time taken ( in hrs . ) = 1 / ( b + c ) = 6 / 60 = 1 / 10 or b + c = 10 - - - ( i ) & in upstream time taken ( in hrs . ) = 1 / ( b - c ) = 10 / 60 = 1 / 6 or b - c = 6 - - - ( ii ) from ( i ) & ( ii ) , b = 8 , c = 2 answer : a" + }, + { + "Answer": 4.5, + "Options": "a ) 4.5 , b ) 17 , c ) 18 , d ) 19 , e ) 12", + "Correct": "a", + "Explanation": "\"let the leak can empty the full tank in x hours 1 / 3 - 1 / x = 1 / 9 = > 1 / x = 1 / 3 - 1 / 9 = ( 3 - 1 ) / 9 = 2 / 9 = > x = 9 / 2 = 4.5 . answer : a\"" + }, + { + "Answer": 24.67964473723101, + "Options": "a ) 32.51 , b ) 32.4 , c ) 32.1 , d ) 32.92 , e ) 24.69", + "Correct": "e", + "Explanation": "\"36 / 7 r = 4.8 = 24.69 answer : e\"" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 8 , c ) 1 , d ) 6 , e ) 5", + "Correct": "a", + "Explanation": "explanation : he covered 5 km in 1 hour , so he might cover 40 km in 8 hours . but he took 10 hours . he would have saved 10 \u00e2 \u20ac \u201c 8 = 2 hours . answer : a" + }, + { + "Answer": 19, + "Options": "a ) 15 , b ) 17 , c ) 19 , d ) 21 , e ) 24", + "Correct": "c", + "Explanation": "c = a + b d = 3 c = 3 ( a + b ) = 4 b then b = 3 a and c = 4 a the combined rate of the four machines is a + 3 a + 4 a + 12 a = 20 a machine a can complete the work in 380 minutes , so its rate is 1 / 380 of the work per minute . the combined rate is 20 / 380 = 1 / 19 so the work will be completed in 19 minutes . the answer is c ." + }, + { + "Answer": 72, + "Options": "a ) 66 , b ) 70 , c ) 72 , d ) 75 , e ) 78", + "Correct": "c", + "Explanation": "\"let the distance one way be x time from home to work = x / 60 time from work to home = x / 90 total time = 2 hrs ( x / 60 ) + ( x / 90 ) = 2 solving for x , we get x = 72 time from home to work in minutes = ( 72 ) * 60 / 60 = 72 minutes ans = c\"" + }, + { + "Answer": 0.5, + "Options": "a ) 1 / 8 , b ) 1 / 3 , c ) 1 / 6 , d ) 1 / 2 , e ) 5 / 3", + "Correct": "d", + "Explanation": "a ' s one day ' s work = 1 / 30 b ' s one day ' s work = 1 / 60 ( a + b ) ' s one day ' s work = 1 / 30 + 1 / 60 = 1 / 20 the part of the work completed in 10 days = 10 ( 1 / 20 ) = 1 / 2 . answer : d" + }, + { + "Answer": 15, + "Options": "a ) 19 kmph , b ) 15 kmph , c ) 12 kmph , d ) 20 kmph , e ) 23 kmph", + "Correct": "b", + "Explanation": "\"let the time taken to reach the destination be 3 x hours . total distance = 30 * 3 x = 90 x km he covered 2 / 3 * 90 x = 60 x km in 1 / 3 * 3 x = x hours so , the remaining 30 x km , he has to cover in 2 x hours . required speed = 30 x / 2 x = 15 kmph . answer : b\"" + }, + { + "Answer": 20, + "Options": "a ) 35 , b ) 20 , c ) 45 , d ) 50 , e ) 55", + "Correct": "b", + "Explanation": "avg . speed = total distance / total time total distance = 60 miles total time = 40 / 15 + 20 / 60 = 3 avg . speed = 20 . answer - b" + }, + { + "Answer": 21.977625925131363, + "Options": "a ) 17 , b ) 28 , c ) 19 , d ) 11 , e ) 22", + "Correct": "e", + "Explanation": "\"36 / 7 r = 113 = > r = 22 answer : e\"" + }, + { + "Answer": 120, + "Options": "a ) 12 kg , b ) 120 kg , c ) 72 kg , d ) 96 kg , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : volume of water displaced = ( 4 x 3 x 0.01 ) m 3 = 0.12 m 3 . \u2234 mass of man = volume of water displaced x density of water = ( 0.12 x 1000 ) kg = 120 kg . answer : b\"" + }, + { + "Answer": 300.05999999999995, + "Options": "a ) 271 , b ) 266 , c ) 350 , d ) 277 , e ) 300", + "Correct": "e", + "Explanation": "\"length of the platform = 108 * 5 / 18 * 25 = 750 \u2013 450 = 300 answer : e\"" + }, + { + "Answer": 240, + "Options": "a ) 200 sec , b ) 240 sec , c ) 167 sec , d ) 197 sec , e ) 179 sec", + "Correct": "b", + "Explanation": "\"l = s * t s = 1200 / 120 s = 10 m / sec . total length ( d ) = 2400 m t = d / s t = 2400 / 10 t = 240 sec answer : b\"" + }, + { + "Answer": 350, + "Options": "a ) 310 meter , b ) 335 meter , c ) 345 meter , d ) 350 meter , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : speed = distance / time = 300 / 18 = 50 / 3 m / sec let the length of the platform be x meters then distance = speed \u2217 time x + 300 = 50 / 3 \u2217 39 = > 3 ( x + 300 ) = 1950 = > x = 350 meters option d\"" + }, + { + "Answer": 19.99840012798976, + "Options": "a ) 120 sec , b ) 198 sec , c ) 178 sec , d ) 665 sec , e ) 20 sec", + "Correct": "e", + "Explanation": "\"time taken to meet for the first time at the starting point = lcm { length of the track / speed of a , length of the track / speed of b } = lcm { 100 / ( 18 * 5 / 18 ) , 100 / ( 36 * 5 / 18 ) } = lcm ( 20 , 10 ) = 20 sec . answer : e\"" + }, + { + "Answer": 20, + "Options": "a ) 12 , b ) 20 , c ) 24 , d ) 30 , e ) 36", + "Correct": "b", + "Explanation": "let ' s assume that it takes 4 hours to go from point q to b . then the distance between them becomes 240 which makes distance between b and c 120 . ( 240 + 120 ) / ( 4 + x ) gives us the average speed which is 36 . you find x = 6 . so the question simplifies itself to 120 / 6 = 20 hence the answer is b ." + }, + { + "Answer": 15, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 15", + "Correct": "e", + "Explanation": "\"26 trees have 25 gaps between them , required distance ( 375 / 25 ) = 15 e\"" + }, + { + "Answer": 14400, + "Options": "a ) 22877 , b ) 27778 , c ) 20000 , d ) 27999 , e ) 14400", + "Correct": "e", + "Explanation": "\"number of bricks = courtyard area / 1 brick area = ( 1800 \u00d7 1600 / 20 \u00d7 10 ) = 14400 answer : e\"" + }, + { + "Answer": 7, + "Options": "a ) 6 , b ) 5 , c ) 5.5 , d ) 7 , e ) 8", + "Correct": "d", + "Explanation": "\"b ' s 10 day ' s work = ( 1 x 10 ) = 2 . 15 3 remaining work = ( 1 - 2 ) = 1 . 3 3 now , 1 work is done by a in 1 day . 21 therefore 1 work is done by a in ( 21 x 1 ) = 7 days . d\"" + }, + { + "Answer": 60, + "Options": "a ) 12 kg , b ) 60 kg , c ) 72 kg , d ) 96 kg , e ) none of these", + "Correct": "b", + "Explanation": "\"solution volume of water displaced = ( 3 \u00d7 2 \u00d7 0.01 ) m 3 = 0.06 m 3 . \u2234 mass of man = volume of water displaced \u00d7 density of water = ( 0.06 \u00d7 100 ) kg = 60 kg . answer b\"" + }, + { + "Answer": 40, + "Options": "a ) 25 , b ) 30 , c ) 40 , d ) 45 , e ) 50", + "Correct": "c", + "Explanation": "\"change 1 hr 20 min to 80 min . for this , we need to set up a simple proportion of staplers per time 20 / 40 = s / 80 the absolutely worst thing you could do at this point in the problem is to cross - multiply . that would be a supremely unstrategic move . instead , cancel before you multiply . for what we can and can \u2019 t cancel in a proportion , seethis post . we can cancel the factor of 10 in the 20 and 40 . 2 / 4 = s / 80 1 / 2 = s / 80 ; 1 / 2 * 2 = s / 80 * 2 1 / 1 = s / 40 now that the fraction is entirely simplified , we can cross - multiply . s = 1 * 40 = 40 the machine would be 40 candles in 1 hr 20 min . answer : c .\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 7 , c ) 8 , d ) 9 , e ) 6", + "Correct": "a", + "Explanation": "\"m = 4 s = 2 us = 4 - 2 = 2 d = 8 t = 8 / 2 = 4 answer : a\"" + }, + { + "Answer": 1499.9999999999998, + "Options": "a ) 1 km , b ) 1500 mts , c ) 1600 mts , d ) 2 km , e ) 1250 mts", + "Correct": "b", + "Explanation": "\"let the each distance be x km total distance = 3 x then total time , ( x / 5 ) + ( x / 10 ) + ( x / 15 ) = 11 / 60 x = 0.5 total distance = 3 * 0.5 = 1.5 km = 1500 meters correct option is b\"" + }, + { + "Answer": 9.99920006399488, + "Options": "a ) 5.6 sec , b ) 8.9 sec , c ) 10 sec , d ) 12.6 sec , e ) 15 sec", + "Correct": "c", + "Explanation": "\"relative speed = 60 + 48 = 108 kmph * 5 / 18 = 30 m / s distance covered in crossing each other = 140 + 160 = 300 m required time = 300 * 1 / 30 = 10 sec answer is c\"" + }, + { + "Answer": 128.57142857142856, + "Options": "a ) 18 , b ) 128 , c ) 175 , d ) 216 , e ) 250", + "Correct": "b", + "Explanation": "\"total paint initially = 360 gallons paint used in the first week = ( 1 / 4 ) * 360 = 90 gallons . remaning paint = 270 gallons paint used in the second week = ( 1 / 7 ) * 270 = 38 gallons total paint used = 128 gallons . option b\"" + }, + { + "Answer": 4, + "Options": "a ) 7 days , b ) 4 days , c ) 6 days , d ) 8 days , e ) 9 days", + "Correct": "b", + "Explanation": "\"explanation : 16 boys = 24 girls , 1 boy = 24 / 16 girls 1 boy = 6 / 4 girls 16 boys + 12 girls = 16 \u00e3 \u2014 6 / 4 + 12 = 24 + 12 = 36 girls 4 days to complete the work answer : option b\"" + }, + { + "Answer": 250, + "Options": "a ) 286 m , b ) 250 m , c ) 277 m , d ) 278 m , e ) 267 m", + "Correct": "b", + "Explanation": "\"speed = 300 / 18 = 50 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 33 = 50 / 3 = > x = 250 m . answer : b\"" + }, + { + "Answer": 21, + "Options": "a ) 4 , b ) 7 , c ) 10 , d ) 15 , e ) 21", + "Correct": "e", + "Explanation": "please follow posting guidelines , link is in my signatures . as for your question , x / 60 = blocks / time / block = block ^ 2 / time . this is not what you want . you are given x blocks and 60 seconds per block . thus you need to put it as 60 * x to give you units of seconds as you are equating this to 840 ( which is time in seconds . ) . thus the correct equation is : 60 * x - 20 * x = 840 - - - - > 40 x = 840 - > x = 21 . option e" + }, + { + "Answer": 142.986561075114, + "Options": "a ) 141 , b ) 142 , c ) 143 , d ) 144 , e ) 145", + "Correct": "c", + "Explanation": "\"relative speed = ( 140 / 3 ) m / s = ( 140 / 3 ) * ( 18 / 5 ) = 168 kmph speed of goods train = 168 - 25 = 143 kmph answer is c\"" + }, + { + "Answer": 9, + "Options": "a ) 8.4 , b ) 8.6 , c ) 8.8 , d ) 9 , e ) 9.2", + "Correct": "d", + "Explanation": "\"the time to go 36 miles was 18 / 12 + 18 / 10 = 1.5 + 1.8 = 3.3 hours . the average speed for the return trip was 36 miles / 4 hours = 9 mph . the answer is d .\"" + }, + { + "Answer": 5, + "Options": "a ) 2 , b ) 5 , c ) 6 , d ) 7 , e ) 8", + "Correct": "b", + "Explanation": "\"let the speed of arun = x kmph and the speed of anil = y kmph distance = 30 km we know that distancespeed = timehence 30 x \u2212 30 y = 2 . . . . . . . . . . . ( equation 1 ) 30 y \u2212 302 x = 1 . . . . . . . . . . . ( equation 2 ) equation 1 + equation 2 \u21d2 30 x \u2212 302 x = 3 \u21d2 302 x = 3 \u21d2 15 x = 3 \u21d2 5 x = 1 \u21d2 x = 5 hence arun ' s speed = 5 kmph answer : b\"" + }, + { + "Answer": 15, + "Options": "a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15", + "Correct": "e", + "Explanation": "\"time taken by racing magic to make one circle = 150 seconds time taken bycharging bullto make one circle = 60 mins / 40 = 1.5 mins = 90 seconds lcm of 90 and 150 seconds = 450 seconds time taken for them to meet at the starting point for the second time = 2 * 450 = 900 seconds = 15 mins answer e\"" + }, + { + "Answer": 14, + "Options": "a ) 14 , b ) 16 , c ) 10 , d ) 11 , e ) 12", + "Correct": "a", + "Explanation": "\"explanation : 32 trees have 31 gaps between them , required distance ( 434 / 31 ) = 14 option a\"" + }, + { + "Answer": 11.999999999999998, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 15 , e ) 17", + "Correct": "b", + "Explanation": "\"renu \u2019 s one day \u2019 s work = 1 / 6 suma \u2019 s one day \u2019 s work = 1 / 4 - 1 / 6 = 1 / 12 suma can do it alone in 12 days . answer : b\"" + }, + { + "Answer": 825, + "Options": "a ) 250 , b ) 425 , c ) 675 , d ) 825 , e ) 750", + "Correct": "d", + "Explanation": "\"machine a can produce 100 * 30 / 8 = 375 copies and , machine b can produce 150 * 30 / 10 = 825 copies total producing 700 copies . d is the answer\"" + }, + { + "Answer": 522.0841599665866, + "Options": "a ) 246 , b ) 522 , c ) 1408 , d ) 710 , e ) 223", + "Correct": "b", + "Explanation": "\"1 revolution = 3.14 * diameter . number of revolutions in 1 km = 1000 m / ( 3.14 * 0.61 m ) = 522.1 . hence 522 complete revolutions . answer b\"" + }, + { + "Answer": 15, + "Options": "a ) 10 m / sec , b ) 15 m / sec , c ) 18 m / sec , d ) 19 m / sec , e ) 25 m / sec", + "Correct": "b", + "Explanation": "if length of train is l and speed of train is s , then l / s = 8 ( l + 180 ) / s = 20 ( l + 180 ) / l = 20 / 8 = 5 / 2 2 l + 360 = 5 * l 3 * l = 360 l = 120 mtrs s = l / 8 = 120 / 8 = 15 m / sec answer : b" + }, + { + "Answer": 80, + "Options": "a ) 30 miles . , b ) 35 miles . , c ) 45 miles . , d ) 60 miles . , e ) 80 miles .", + "Correct": "e", + "Explanation": "\"tim and elan will meet at the same time while their ratio of speed is 2 : 1 respectively . so their individual distance traveled ratio will be same . plugging in the answer choice only answer choice e meet the 2 : 1 ( tim : elan = 80 : 40 ) ratio of maintaining total distance traveled 120 miles so correct answer e\"" + }, + { + "Answer": 50, + "Options": "a ) 50 seconds , b ) 29 seconds , c ) 40 seconds , d ) 11 seconds , e ) 12 seconds", + "Correct": "a", + "Explanation": "\"speed = 36 km / hr = 36 * ( 5 / 18 ) m / sec = 10 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 * ( 1 / 10 ) = 50 seconds answer : a\"" + }, + { + "Answer": 62.994960403167745, + "Options": "a ) 63 , b ) 88 , c ) 66 , d ) 44 , e ) 35", + "Correct": "a", + "Explanation": "\"speed of train relative to man = 46.5 - 2.5 = 44 km / hr . = 44 * 5 / 18 = 110 / 9 m / sec . time taken to pass the man = 770 * 9 / 110 = 63 sec . answer : a\"" + }, + { + "Answer": 7.200000000000001, + "Options": "a ) 10 sec , b ) 16 sec , c ) 19 sec , d ) 7.2 sec , e ) 13 sec", + "Correct": "d", + "Explanation": "rs = 60 - 40 = 20 * 5 / 18 = 100 / 18 t = 36 d = 36 * 100 / 18 = 200 rs = 60 + 40 = 100 * 5 / 18 t = 200 * 18 / 500 = 7.2 sec answer : d" + }, + { + "Answer": 12, + "Options": "a ) 8 miles , b ) 12 miles , c ) 10 miles , d ) 11 miles , e ) 14 miles", + "Correct": "b", + "Explanation": "first , determine how far adrienne has walked in the one hour . she has walked three miles which means she is three miles ahead of harold when he sets off . harold walks at four miles / hour which means that every hour , harold will get one mile closer to adrienne . if he gets one mile closer every hour , it will take him three hours to catch up to her which means he travels 3 hours * 4 miles / hour = 12 miles and she travels 4 hours * 3 miles / hour = 12 miles . he will be 12 miles from x when he catches up to her . a slightly different way to solve . . . we do n ' t know how long they will walk before they catch up to one another but we do know that a walks for one hour more than j . j = t and a = t + 1 . we are looking for the distance at which they meet up which means the distance will be the same . d = r * t so , r * t ( harold ) = r * t ( adrienne ) r * ( t ) = r * ( t + 1 ) 4 t = 3 t + 3 t = 3 d = r * t d = 4 * 3 d = 12 b ) 12 miles" + }, + { + "Answer": 40, + "Options": "a ) 32 kmph , b ) 34 kmph , c ) 30 kmph , d ) 45 kmph , e ) 40 kmph", + "Correct": "e", + "Explanation": "\"us = 20 ds = 60 m = ( 20 + 60 ) / 2 = 40 answer : e\"" + }, + { + "Answer": 1799.9999999999995, + "Options": "a ) 1 km , b ) 1500 mts , c ) 1800 mts , d ) 2 km , e ) 1250 mts", + "Correct": "c", + "Explanation": "\"let the each distance be x km total distance = 3 x then total time , ( x / 6 ) + ( x / 12 ) + ( x / 18 ) = 11 / 60 x = 0.6 total distance = 3 * 0.6 = 1.8 km = 1800 meters correct option is c\"" + }, + { + "Answer": 10, + "Options": "a ) 3 minutes , b ) 4 minutes , c ) 5 minutes , d ) 6 minutes , e ) 10 minutes", + "Correct": "e", + "Explanation": "\"rate = work / time given rate of machine a = x / 10 min machine b produces 2 x boxes in 5 min hence , machine b produces 4 x boxes in 10 min . rate of machine b = 4 x / 10 we need tofind the combined time that machines a and b , working simultaneouslytakeat their respective constant rates let ' s first find the combined rate of machine a and b rate of machine a = x / 10 min + rate of machine b = 4 x / 10 = 5 x / 10 now combine time = combine work needs to be done / combine rate = 5 x / 5 x * 10 = 10 min ans : e\"" + }, + { + "Answer": 12.239020878329734, + "Options": "a ) 10.7 , b ) 10.9 , c ) 10.24 , d ) 12.24 , e ) 18.8", + "Correct": "d", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 180 + 160 = 340 m . required time = 340 * 9 / 250 = 12.24 sec . answer : d\"" + }, + { + "Answer": 178, + "Options": "a ) 178 , b ) 176 , c ) 175 , d ) 96 , e ) none of these", + "Correct": "a", + "Explanation": "explanation : let the length of train be l m . acc . to question ( 267 + l ) / 20 = l / 8 2136 + 8 l = 20 l l = 2136 / 12 = 178 m answer a" + }, + { + "Answer": 31.99744020478362, + "Options": "a ) 22 sec , b ) 32 sec , c ) 25 sec , d ) 24 sec , e ) 31 sec", + "Correct": "b", + "Explanation": "\"explanation : d = 120 + 200 = 320 s = 36 * 5 / 18 = 10 mps t = 250 / 10 = 32 sec answer : option b\"" + }, + { + "Answer": 30, + "Options": "a ) 24 , b ) 26 , c ) 28 , d ) 30 , e ) 32", + "Correct": "d", + "Explanation": "\"36 * t = 1 km = > t = 1 / 36 km / h v * ( t + 20 / 3600 ) = 1 v ( 1 / 36 + 20 / 3600 ) = 1 v ( 120 / 3600 ) = 1 v = 30 km / h the answer is d .\"" + }, + { + "Answer": 36.000000000000014, + "Options": "a ) 30 , b ) 36 , c ) 40 , d ) 45 , e ) 48", + "Correct": "b", + "Explanation": "each hour they complete 1 / 3 + 1 / 15 = 2 / 5 of the job . in 2 hours , they complete 2 ( 2 / 5 ) = 4 / 5 of the job . the time for p to finish is ( 1 / 5 ) / ( 1 / 3 ) = ( 3 / 5 ) hour = 36 minutes the answer is b ." + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 40 days , b ) 40 / 9 days , c ) 39 / 9 days , d ) 6 days , e ) 60 / 9 days", + "Correct": "d", + "Explanation": "\"a ' s one hour work = 1 / 10 . b ' s one hour work = 1 / 15 . ( a + b ) ' s one hour work = 1 / 10 + 1 / 15 = 5 / 30 = 1 / 6 . both a & b can finish the work in 6 days d\"" + }, + { + "Answer": 30.99752019838413, + "Options": "a ) 25 , b ) 30 , c ) 31 , d ) 45 , e ) 60", + "Correct": "c", + "Explanation": "\"explanation : speed of train relatively to man = ( 80 - 8 ) km / hr = 72 km / hr = ( 72 x 5 / 18 ) m / sec = 20 m / sec time taken to pass the man = ( 620 / 20 ) sec = 31 sec . answer : c\"" + }, + { + "Answer": 240, + "Options": "a ) 260 km , b ) 240 km , c ) 280 km , d ) 340 km , e ) 350 km", + "Correct": "b", + "Explanation": "\"t = 6 hrs d = t * s = 40 * 6 = 240 km answer is b\"" + }, + { + "Answer": 15, + "Options": "a ) 5 . , b ) 10 . , c ) 14 . , d ) 15 , e ) 20 .", + "Correct": "d", + "Explanation": "\"time is in the ratio 2 : 1 : : to : fro office therefore , 2 x + 1 x = 6 hrs time take to come back - 2 hrs , distance travelled - 30 km = > speed = 15 kmph answer : d\"" + }, + { + "Answer": 22, + "Options": "a ) 21 , b ) 27 , c ) 24 , d ) 22 , e ) 25", + "Correct": "d", + "Explanation": "\"in 12 hours , the hands coincide or are in oppesite direction 22 times . in 24 hours , they are at right angles 22 times . answer is d .\"" + }, + { + "Answer": 6, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 8", + "Correct": "d", + "Explanation": "another solution which is faster is since each machine works at a constant rate . the time needs to bought down from 12 to 8 . so the new time is 2 / 3 of the original time . thus to achieve this we need the rate to be 3 / 2 of original . so 3 / 2 * 12 = 18 so we need 18 - 12 = 6 more machines . answer : d" + }, + { + "Answer": 0.6071428571428572, + "Options": "a ) 15 / 28 , b ) 17 / 28 , c ) 13 / 28 , d ) 19 / 28 , e ) 11 / 28", + "Correct": "b", + "Explanation": "explanation : amount of work x can do in 1 day = 1 / 14 amount of work y can do in 1 day = 1 / 20 amount of work x and y can do in 1 day = 1 / 14 + 1 / 20 = 17 / 140 amount of work x and y can together do in 5 days = 5 \u00d7 ( 17 / 140 ) = 17 / 28 answer : option b" + }, + { + "Answer": 2.4, + "Options": "a ) 2 , b ) 2.2 , c ) 2.4 , d ) 2.6 , e ) 2.8", + "Correct": "c", + "Explanation": "both computers together process files at a rate of 240 / 4 + 240 / 6 = 60 + 40 = 100 files per hour . the time required to process 240 files is 240 / 100 = 2.4 hours the answer is c ." + }, + { + "Answer": 9.333333333333332, + "Options": "a ) 9.5 , b ) 9.4 , c ) 9.3 , d ) 9.2 , e ) 9.1", + "Correct": "c", + "Explanation": "\"net part filled in 1 hour = ( 1 / 4 - 1 / 7 ) = 3 / 28 the cistern will be filled in 28 / 3 hrs i . e . , 9.3 hrs . answer : c\"" + }, + { + "Answer": 187.5, + "Options": "a ) 175 seconds , b ) 195 seconds , c ) 155 seconds , d ) 188 seconds , e ) 115 seconds", + "Correct": "d", + "Explanation": "\"explanation : let the time required by x seconds . then , more cloth means more time ( direct proportion ) so , 0.128 : 1 : : 24 : x = > x = { \\ color { blue } \\ frac { 24 \\ times 1 } { 0.128 } } = > x = 187.5 so time will be approx 188 seconds answer : d\"" + }, + { + "Answer": 0.8333333333333334, + "Options": "a ) 1 / 2 , b ) 2 / 5 , c ) 3 / 5 , d ) 4 / 5 , e ) 5 / 6", + "Correct": "e", + "Explanation": "\"method : x = no . of boxes loaded by day crew . boxes by night crew = 1 / 4 * 4 / 5 x = 1 / 5 x % loaded by day crew = x / ( x + 1 / 5 x ) = 5 / 6 answer e\"" + }, + { + "Answer": 40, + "Options": "a ) 48 kmph , b ) 52 kmph , c ) 40 kmph , d ) 63 kmph , e ) 65 kmph", + "Correct": "c", + "Explanation": "\"time = 7 distance = 420 3 / 2 of 7 hours = 7 * 3 / 2 = 10.5 hours required speed = 420 / 10.5 = 40 kmph c )\"" + }, + { + "Answer": 68.18181818181819, + "Options": "a ) 68 , b ) 54 , c ) 87 , d ) 96 , e ) 15", + "Correct": "a", + "Explanation": "\"1 mile = 5280 feet = > 1 feet = 1 / 5280 miles if the object travels 400 feet in 4 sec then it travels 400 / 4 * 60 * 60 feet in 1 hour ( 1 hr = 60 min * 60 sec ) = 3600 * 100 feet in 1 hour = 360000 feet in 1 hr = 360000 / 5280 miles in 1 hour = 36000 / 528 miles / hr ~ 68 miles / hr answer - a\"" + }, + { + "Answer": 108, + "Options": "a ) 66 , b ) 70 , c ) 72 , d ) 85 , e ) 108", + "Correct": "e", + "Explanation": "\"first round distance travelled ( say ) = d speed = 80 k / h time taken , t 2 = d / 80 hr second round distance traveled = d ( same distance ) speed = 120 k / h time taken , t 2 = d / 120 hr total time taken = 3 hrs therefore , 3 = d / 80 + d / 120 lcm of 80 and 120 = 240 3 = d / 80 + d / 120 = > 3 = 3 d / 240 + 2 d / 240 = > d = 240 * 2 / 5 km therefore , t 1 = d / 80 = > t 1 = ( 240 * 3 ) / ( 5 x 80 ) = > t 1 = ( 9 x 60 ) / 5 - - in minutes = > t 1 = 108 minutes . e\"" + }, + { + "Answer": 208, + "Options": "a ) 126 , b ) 136 , c ) 146 , d ) 208 , e ) 266", + "Correct": "d", + "Explanation": "\"reciprocal of the hcf and lcm of two are 1 / 16 and 1 / 312 so , hcf = 16 , lcm = 312 lcm * hcf = product of two numbers = a * b = > b = lcm * hcf / a so , other = 16 * 312 / 24 = 208 answer : d\"" + }, + { + "Answer": 12, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 17", + "Correct": "b", + "Explanation": "\"31 trees have 30 gaps between them , required distance ( 360 / 30 ) = 12 b\"" + }, + { + "Answer": 200, + "Options": "a ) 227 m , b ) 150 m , c ) 187 m , d ) 167 m , e ) 200 m", + "Correct": "e", + "Explanation": "\"speed = 80 * 5 / 18 = 200 / 9 m / sec length of the train = speed * time = 200 / 9 * 9 = 200 m answer : e\"" + }, + { + "Answer": 47.99999999999999, + "Options": "a ) 42 , b ) 44 , c ) 46 , d ) 48 , e ) 50", + "Correct": "d", + "Explanation": "if a can complete a work in x days and b can complete the same work in y days , then , both of them together can complete the work in x y / x + y days . that is , the required no . of days = 80 \u00d7 120 / 200 = 48 days answer is d" + }, + { + "Answer": 0.6666666666666666, + "Options": "a ) 1 / 2 , b ) 2 / 3 , c ) 3 / 5 , d ) 4 / 5 , e ) 5 / 8", + "Correct": "b", + "Explanation": "\"let x be the number of workers on the day crew . let y be the number of boxes loaded by each member of the day crew . then the number of boxes loaded by the day crew is xy . the number of boxes loaded by the night crew is ( 2 x / 3 ) ( 3 y / 4 ) = xy / 2 the total number of boxes is xy + xy / 2 = 3 xy / 2 the fraction loaded by the day crew is xy / ( 3 xy / 2 ) = 2 / 3 the answer is b .\"" + }, + { + "Answer": 3600, + "Options": "a ) 4500 , b ) 2678 , c ) 3600 , d ) 3400 , e ) 2500", + "Correct": "c", + "Explanation": "\"( 2000 * 3 * 36 ) / 60 = 3600 m 3 answer : c\"" + }, + { + "Answer": 200.016, + "Options": "a ) 400 meters , b ) 1111 meters , c ) 1777 meters , d ) 200 meters , e ) none of these", + "Correct": "d", + "Explanation": "\"train overtakes a bike means that we are talking about total length of the train . ( train ' s head is close to bike when it started and its tail crosses the bike when it overtakes the bike ) relative speed = 100 - 64 = 36 km / h = 36000 m / h time = 20 seconds distance = speed * time 36000 * 20 / 3600 = 200 meters . d is the answer .\"" + }, + { + "Answer": 53.99568034557235, + "Options": "a ) 23 sec , b ) 30 sec , c ) 49 sec , d ) 54 sec , e ) 59 sec", + "Correct": "d", + "Explanation": "\"speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 900 * 3 / 50 = 54 sec . answer : d\"" + }, + { + "Answer": 398.43694607804633, + "Options": "a ) 166 , b ) 332 , c ) 400 , d ) 402 , e ) 566", + "Correct": "d", + "Explanation": "\"d in two hours : the plane flying east will be 402 miles away from airport . the other plane will be 566 miles away from airport . 566 / 402 = ~ 1.4 = ~ sqrt ( 2 ) this means that planes formed a right isocheles triangle = > sides of such triangles relate as 1 : 1 : sqrt ( 2 ) = > the planes are 402 miles apart . d\"" + }, + { + "Answer": 500, + "Options": "a ) 250 , b ) 300 , c ) 350 , d ) 400 , e ) 500", + "Correct": "e", + "Explanation": "nice problem . + 1 . first timetogetherthey run half of the circumference . second timetogetherthey run full circumference . first time brenda runs 100 meters , thus second time she runs 2 * 150 = 300 meters . since second time ( when they run full circumference ) brenda runs 300 meters and sally runs 200 meters , thus the circumference is 300 + 200 = 500 meters . answer : e ." + }, + { + "Answer": 96, + "Options": "a ) 36 , b ) 72 , c ) 96 , d ) 144 , e ) 180", + "Correct": "c", + "Explanation": "\"old machine 100 bolts in 60 mins so , 5 / 3 bolts in 1 min new machine 150 bolts in 60 mins so , 5 / 2 bolts in 1 min together , 5 / 3 + 5 / 2 = 25 / 6 bolts in 1 min so , for 400 bolts 400 * 6 / 25 = 96 mins ans c\"" + }, + { + "Answer": 600, + "Options": "a ) 600 m , b ) 300 m , c ) 400 m , d ) 700 m , e ) 500 m", + "Correct": "a", + "Explanation": "\"a 600 m distance covered by amar = 18 / 4.8 ( 1.6 km ) = 3 / 8 ( 1600 ) = 600 m\"" + }, + { + "Answer": 300.024, + "Options": "a ) 615 m , b ) 240 m , c ) 168 m , d ) 300 m , e ) 691 m", + "Correct": "d", + "Explanation": "speed = 54 * 5 / 18 = 15 m / sec . length of the train = 15 * 20 = 300 m . let the length of the platform be x m . then , ( x + 300 ) / 50 = 15 = > x = 300 m answer : d" + }, + { + "Answer": 10, + "Options": "a ) 7 , b ) 10 , c ) 8 , d ) 9 , e ) 11", + "Correct": "b", + "Explanation": "\"explanation : 1 women \u2019 s 1 day \u2019 s work = 1 / 8 / 10 = 1 / 80 1 child \u2019 s 1 day \u2019 s work = 1 / 12 / 10 = 1 / 120 6 women \u2019 s 1 day \u2019 s work = 1 / 80 \u00d7 6 = 3 / 40 3 children \u2019 s 1 day \u2019 s work = 1 / 120 \u00d7 3 = 1 / 40 6 women \u2019 s + 3 children \u2019 s 1 day \u2019 s work = 3 / 40 + 1 / 40 = 1 / 10 therefore , they will finish the whole work in 10 days . answer : option b\"" + }, + { + "Answer": 17.5, + "Options": "a ) 50 hours , b ) 40 hours , c ) 17.5 hours , d ) 12 hours , e ) 8 hours", + "Correct": "c", + "Explanation": "\"here , we ' re told that 5 machines can produce 20 units in 10 hours . . . . that means that each machine works for 10 hours apiece . since there are 5 machines ( and we ' re meant to assume that each machine does the same amount of work ) , then the 5 machines equally created the 20 units . 20 units / 5 machines = 4 units are made by each machine every 10 hours now that we know how long it takes each machine to make 4 units , we can break this down further if we choose to . . . 10 hours / 4 units = 2.5 hours per unit when 1 machine is working . the prompt asks us how long would it take 20 machines to produce 140 units . if 20 machines each work for 2.5 hours , then we ' ll have 20 units . since 140 units is ' 7 times ' 20 , we need ' 7 times ' more time . ( 2.5 hours ) ( 7 times ) = 17.5 hours final answer : [ reveal ] spoiler : c\"" + }, + { + "Answer": 3, + "Options": "a ) 4 km , b ) 2 km , c ) 5 km , d ) 3 km , e ) 1 km", + "Correct": "d", + "Explanation": "speed downstream = ( 7.5 + 1.5 ) km / hr = 9 km / hr ; speed upstream = ( 7.5 - 1.5 ) kmph = 6 kmph . let the required distance be x km . then , x / 9 + x / 6 = 50 / 60 . 2 x + 3 x = ( 5 / 6 * 18 ) 5 x = 15 x = 3 . hence , the required distance is 3 km . answer d" + }, + { + "Answer": 180, + "Options": "a ) 160 km , b ) 170 km , c ) 180 km , d ) 190 km , e ) 130 km", + "Correct": "c", + "Explanation": "30 x + 10 x = 120 x = 3 hrs speed of bee = 60 kmph distance traveled by bee = speed * time taken = 60 * 3 = 180 km answer : c" + }, + { + "Answer": 1250, + "Options": "a ) 600 , b ) 750 , c ) 1000 , d ) 1250 , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : speed = ( 5 \u00d7 5 / 18 ) m / sec = 25 / 18 m / sec . distance covered in 15 minutes = ( 25 / 18 \u00d7 15 \u00d7 60 ) m = 1250 m . answer : d\"" + }, + { + "Answer": 5, + "Options": "a ) 1 : 5 , b ) 9 : 25 , c ) 5 : 1 , d ) 25 : 9 , e ) can not be determined from the information provided", + "Correct": "c", + "Explanation": "\"same circumferential rate means that a point on both the gears would take same time to come back to the same position again . hence in other words , time taken by the point to cover the circumference of gear a = time take by point to cover the circumference of gear b time a = 2 * pi * 25 / speed a time b = 2 * pi * 5 / speed b since the times are same , 50 pi / speed a = 10 pi / speed b speeda / speed b = 50 pi / 30 pi = 5 / 1 correct option : c\"" + }, + { + "Answer": 86, + "Options": "a ) rs . 80 , b ) rs . 86 , c ) rs . 90 , d ) rs . 95 , e ) none of these", + "Correct": "b", + "Explanation": "\"sp of 1 m of cloth = 4500 / 45 = rs . 100 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 105 - rs . 14 = rs . 86 . answer : b\"" + }, + { + "Answer": 3.75, + "Options": "a ) 2.75 , b ) 3.25 , c ) 3.75 , d ) 4.25 , e ) 4.75", + "Correct": "c", + "Explanation": "\"time = 10 / 4 + 10 / 8 = 30 / 8 = 3.75 hours the answer is c .\"" + }, + { + "Answer": 1890.0000000000002, + "Options": "a ) rs 840 , b ) rs 1320 , c ) rs 1620 , d ) rs 1890 , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : ( men 4 : 9 ) : ( hrs / day 10 : 6 ) : : 1400 : x hence 4 * 10 * x = 9 * 6 * 1400 or x = 9 * 6 * 1400 / 4 * 10 = 1890 answer : d\"" + }, + { + "Answer": 176, + "Options": "a ) 168 , b ) 172 , c ) 176 , d ) 180 , e ) 184", + "Correct": "c", + "Explanation": "\"originally , the distance the car could go on a full tank was 16 * 33 = 528 miles . after it has been modified , the car can go 33 / 0.75 = 44 miles per gallon . on a full tank , the car can go 16 * 44 = 704 miles , thus 176 miles more . the answer is c .\"" + }, + { + "Answer": 3519.9999999999995, + "Options": "a ) 1187 m , b ) 1704 m , c ) 2179 m , d ) 3520 m , e ) 4297 m", + "Correct": "d", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 2500 resolutions . = 2500 * 2 * 22 / 7 * 22.4 = 352000 cm = 3520 m answer : d\"" + }, + { + "Answer": 5, + "Options": "a ) 2 , b ) 4 , c ) 5 , d ) 40 , e ) 160", + "Correct": "c", + "Explanation": "\"actual miles / gallon is = 480 / 40 = 12 miles / gallon . current engine miles / gallon is 7 miles / gallon . additional 5 miles / gallon is required to match the actual mileage . imo option c .\"" + }, + { + "Answer": 30, + "Options": "a ) 30 , b ) 12 , c ) 15 , d ) 18 , e ) 20", + "Correct": "a", + "Explanation": "\"work done by x in 8 days = 8 * 1 / 40 = 1 / 5 remaining work = 1 - 1 / 5 = 4 / 5 4 / 5 work is done by y in 24 days whole work will be done by y in 24 * 5 / 4 = 30 days answer is a\"" + }, + { + "Answer": 24, + "Options": "a ) 12 , b ) 14 , c ) 16 , d ) 24 , e ) 40", + "Correct": "d", + "Explanation": "let x be the average speed for 1 st half of the distance . then the average speed for 2 nd half of the distance will be x + 16 avg speed = total distance / total time 30 = 60 / { ( 30 / x ) + ( 30 / ( x + 16 ) ) } solving we get x ^ 2 - 14 x - 240 = 0 x = - 10 or 24 x cant be negative hence x = 24 answer : d" + }, + { + "Answer": 432, + "Options": "a ) 236 , b ) 354 , c ) 432 , d ) 512 , e ) 670", + "Correct": "c", + "Explanation": "54 / 4 = 13.5 gallons 13.5 * 32 = 432 miles the answer is c ." + }, + { + "Answer": 36, + "Options": "a ) 12 min , b ) 36 min , c ) 40 min , d ) 48 min , e ) 60 min", + "Correct": "b", + "Explanation": "distance = speed * time 5 * 5 = 25 km new speed = 15 kmph therefore time = 25 / 15 = 5 / 3 = 36 min answer : b" + }, + { + "Answer": 400, + "Options": "a ) 375 m , b ) 750 m , c ) 400 m , d ) 800 m , e ) 300 m", + "Correct": "c", + "Explanation": "\"let length of train = l case - 1 : distance = 800 + l ( while crossing the bridge ) time = 45 seconds i . e . speed = distance / time = ( 800 + l ) / 45 case - 2 : distance = l ( while passing the lamp post ) time = 15 seconds i . e . speed = distance / time = ( l ) / 15 but since speed has to be same in both cases so ( 800 + l ) / 45 = ( l ) / 15 i . e . 800 + l = 3 l i . e . 2 l = 800 i . e . l = 400 answer : option c\"" + }, + { + "Answer": 69, + "Options": "a ) 80 kmph , b ) 69 kmph , c ) 70 kmph , d ) 90 kmph , e ) none of these", + "Correct": "b", + "Explanation": "\"as we know that speed = distance / time for average speed = total distance / total time taken thus , total distance = 290 + 400 = 690 km thus , total speed = 10 hrs or , average speed = 690 / 10 or , 69 kmph . answer : b\"" + }, + { + "Answer": 100, + "Options": "a ) 299 m , b ) 777 m , c ) 200 m , d ) 100 m , e ) 128 m", + "Correct": "d", + "Explanation": "\"2 ( l + 200 ) = 600 = > l = 100 m answer : d\"" + }, + { + "Answer": 54, + "Options": "a ) 55 , b ) 53 , c ) 54 , d ) 52 , e ) 50", + "Correct": "c", + "Explanation": "\"change 1 hr 15 min to 75 min . for this , we need to set up a simple proportion of dies per time 18 / 25 = s / 75 the absolutely worst thing you could do at this point in the problem is to cross - multiply . that would be a supremely unstrategic move . we can cancel the common factor of 25 in the two denominators . 18 / 1 = s / 3 s = 3 * 18 s = 54 the machine would be 54 dies in 1 hr 15 min . answer : c\"" + }, + { + "Answer": 176, + "Options": "['a ) 176', 'b ) 192', 'c ) 184', 'd ) 162', 'e ) 172']", + "Correct": "a", + "Explanation": "area of the room = 544 * 374 sq . cm size of largest square tile = hcf of 544 cm & 374 cm area of 1 tile = 34 * 34 sq . cm therefore , number of tiles = ( 544 * 374 / 34 * 34 ) = 176 answer : a" + }, + { + "Answer": 120, + "Options": "a ) 120 m . , b ) 80 m . , c ) 150 m . , d ) 100 m . , e ) none of the above", + "Correct": "a", + "Explanation": "ratio of speeds of a and b is 2 : 1 b is 60 m away from a but we know that a covers 1 meter ( 2 - 1 ) more in every second than b the time taken for a to cover 60 m is 60 / 1 = 60 m so the total time taken by a and b to reach = 2 * 60 = 120 m answer : a" + }, + { + "Answer": 10.889128869690424, + "Options": "a ) 10.7 sec , b ) 10.9 sec , c ) 10.1 sec , d ) 15.1 sec , e ) 12.7 sec", + "Correct": "b", + "Explanation": "\"speed = 80 * 5 / 18 = 22.2 m / sec total distance covered = 100 + 142 = 242 m . required time = 242 / 22.2 ' = 10.9 sec . answer : b\"" + }, + { + "Answer": 15, + "Options": "a ) 12 , b ) 15 , c ) 18 , d ) 21 , e ) 24", + "Correct": "b", + "Explanation": "\"a ' s rate is 1 / 20 of the project per day . b ' s rate is 1 / 30 of the project per day . the combined rate is 1 / 12 of the project per day . in the last 5 days , b can do 1 / 6 of the project . thus a and b must complete 5 / 6 of the project , which takes 10 days . the total number of days is 10 + 5 = 15 . the answer is b .\"" + }, + { + "Answer": 26000, + "Options": "a ) 25000 , b ) 26000 , c ) 27000 , d ) 28000 , e ) 29000", + "Correct": "b", + "Explanation": "\"rate of water flow - 6 kmph - - 6000 / 60 - - 100 m / min depth of river - - 4 m width of river - - 65 m vol of water per min - - 100 * 4 * 65 - - - 26000 answer b\"" + }, + { + "Answer": 192, + "Options": "a ) 176 , b ) 192 , c ) 202 , d ) 218 , e ) 284", + "Correct": "b", + "Explanation": "in case of liquid - 2.5 inches represents 60 lit / min . in case of gas - 50 % of 2.5 inches represents 60 lit / min 1.25 inches represents 60 lit / min 4 inches will represent 60 * 4 / 1.25 = 192 b is the answer" + }, + { + "Answer": 80, + "Options": "a ) 70 , b ) 80 , c ) 74 , d ) 75 , e ) 78", + "Correct": "b", + "Explanation": "\"time to cover 1 kilometer at 80 kilometers per hour is 1 / 90 hours = 3,600 / 90 seconds = 40 seconds ; time to cover 1 kilometer at regular speed is 40 + 5 = 45 seconds = 45 / 3,600 hours = 1 / 80 hours ; so , we get that to cover 1 kilometer 1 / 80 hours is needed - - > regular speed 80 kilometers per hour ( rate is a reciprocal of time or rate = distance / time ) . answer : b .\"" + }, + { + "Answer": 3.4285714285714284, + "Options": "a ) 3.19 , b ) 3.28 , c ) 3.35 , d ) 3.43 , e ) 3.56", + "Correct": "d", + "Explanation": "\"let x be the distance to big rock . time = x / 6 + x / 8 = 1 x = 48 / 14 = 3.43 km the answer is d .\"" + }, + { + "Answer": 11.999999999999998, + "Options": "a ) 33 , b ) 88 , c ) 40 , d ) 99 , e ) 12", + "Correct": "e", + "Explanation": "\"1 / 4 - 1 / x = 1 / 6 x = 12 answer : e\"" + }, + { + "Answer": 14, + "Options": "a ) 1 minutes , b ) 14 minute , c ) 100 minutes , d ) 10000 minutes , e ) 1000 minutes", + "Correct": "b", + "Explanation": "\"we can try the logic of time and work , our work is to kill the deers so 14 ( lions ) * 14 ( min ) / 14 ( deers ) = 100 ( lions ) * x ( min ) / 100 ( deers ) hence answer is x = 14 answer : b\"" + }, + { + "Answer": 25.333333333333332, + "Options": "a ) 4 seconds , b ) 25.33 seconds , c ) 29 seconds , d ) 21 seconds , e ) 6.25 seconds", + "Correct": "b", + "Explanation": "their difference is 3 second but this difference is 0 if john allows sam to start the race from 24 m ahead . that means jhon was 24 m away from finishing line when they started together . so he will cover 24 m in 3 seconds . so his speed = 24 / 3 = 8 metre / second . so time taken = 100 / 3 = 33.33 seconds . so sam took = 25.33 seconds . correct answer = b" + }, + { + "Answer": 250.02999999999997, + "Options": "a ) 250 m , b ) 245 m , c ) 235 m , d ) 220 m , e ) 240 m", + "Correct": "a", + "Explanation": "\"explanation : assume the length of the bridge = x meter total distance covered = 125 + x meter total time taken = 30 s speed = total distance covered / total time taken = ( 125 + x ) / 30 m / s = > 45 \u00e3 \u2014 ( 10 / 36 ) = ( 125 + x ) / 30 = > 45 \u00e3 \u2014 10 \u00e3 \u2014 30 / 36 = 125 + x = > 45 \u00e3 \u2014 10 \u00e3 \u2014 10 / 12 = 125 + x = > 15 \u00e3 \u2014 10 \u00e3 \u2014 10 / 4 = 125 + x = > 15 \u00e3 \u2014 25 = 125 + x = 375 = > x = 375 - 125 = 250 answer : option a\"" + }, + { + "Answer": 7.596633648618456, + "Options": "a ) 7.16 , b ) 7.59 , c ) 7.12 , d ) 7.15 , e ) 7.11", + "Correct": "b", + "Explanation": "\"t = ( 141 + 165 ) / ( 80 + 65 ) * 18 / 5 t = 7.59 answer : b\"" + }, + { + "Answer": 84.99280057595392, + "Options": "a ) 75 kmph , b ) 85 kmph , c ) 95 kmph , d ) 105 kmph , e ) 115 kmph", + "Correct": "b", + "Explanation": "let the speed of the train be x kmph speed of the train relative to man = x + 5 = ( x + 5 ) * 5 / 18 m / sec 150 / [ ( x + 5 ) * 5 / 18 ] = 6 30 ( x + 5 ) = 2700 x = 85 kmph answer is b" + }, + { + "Answer": 7, + "Options": "a ) 4 , b ) 6 , c ) 8 , d ) 7 , e ) 12", + "Correct": "d", + "Explanation": "w : the time for wyane to do the job s : the time for his son to do the job we have 1 / w + 1 / s = 1 / 6 and w = 6 s then we have 1 / ( 6 * s ) + 1 / s = 1 / 6 < = > 7 / ( 6 * s ) = 1 / 6 < = > s = 7 ans : d" + }, + { + "Answer": 30, + "Options": "a ) 50 , b ) 40 , c ) 30 , d ) 20 , e ) 10", + "Correct": "c", + "Explanation": "\"number of pieces = 2550 / 85 = 30 the answer is c .\"" + }, + { + "Answer": 13.996334838667455, + "Options": "a ) 322 sec , b ) 14 sec , c ) 11 sec , d ) 13 sec , e ) 34 sec", + "Correct": "b", + "Explanation": "explanation : total distance to be covered = 156.62 + 100 = 256.62 m trains are running in opposite directions , hence relative speed = 30 + 36 = 66 km / hr = 18.33 m / sec time = distance / relative speed = 256.62 / 18.33 sec = 14 sec therefore , the time of crossing each other in the opposite direction is 14 seconds . answer : b" + }, + { + "Answer": 205, + "Options": "a ) 388 , b ) 267 , c ) 205 , d ) 288 , e ) 261", + "Correct": "c", + "Explanation": "\"speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 170 + x ) / 30 = 25 / 2 = = > 2 ( 170 + x ) = 750 = = > x = 205 m . answer : c\"" + }, + { + "Answer": 0.9999999999999998, + "Options": "a ) 3 / 15 , b ) 2 / 11 , c ) 1 / 4 , d ) 1 / 3 , e ) 1", + "Correct": "e", + "Explanation": "in first 4 hrs ted will finish 4 / 8 = 1 / 2 of work and julie will finish 4 / 10 work so total 1 / 2 + 2 / 5 = 9 / 10 work is finished and 1 - 9 / 10 = 1 / 10 work remaining . now julie will take ( 1 / 10 ) * 10 = 1 hrs to finish it . so answer is e ." + }, + { + "Answer": 36, + "Options": "a ) 22 , b ) 36 , c ) 60 , d ) 88 , e ) 72", + "Correct": "b", + "Explanation": "\"explanation : let the required no of hours be x . then less men , more hours ( indirect proportion ) \\ inline \\ fn _ jvn \\ therefore 15 : 36 : : 15 : x \\ inline \\ fn _ jvn \\ leftrightarrow ( 15 x x ) = ( 36 x 15 ) \\ inline \\ fn _ jvn \\ leftrightarrow \\ inline \\ fn _ jvn x = \\ frac { 36 \\ times 15 } { 15 } = 36 hence , 15 men can do it in 36 hours . answer : b ) 36\"" + }, + { + "Answer": 219.9114857512855, + "Options": "a ) 288 , b ) 132 , c ) 220 , d ) 592 , e ) 261", + "Correct": "c", + "Explanation": "\"2 * 22 / 7 * 35 = 220 220 * 1 = rs . 220 answer : c\"" + }, + { + "Answer": 111.11111111111111, + "Options": "a ) 100.1 m , b ) 223.1 m , c ) 111.1 m , d ) 120.3 m , e ) 133.4 m", + "Correct": "c", + "Explanation": "explanation : we know , speed = distance / time speed = 10 / 50 x 60 = 40 x 5 / 18 m / sec = 11.1 m / sec length of train = ( speed x time ) = ( 11.11 x 10 ) = 111.1 m answer is c" + }, + { + "Answer": 47.99999999999999, + "Options": "a ) 30 days , b ) 48 days , c ) 70 days , d ) 80 days , e ) 90 days", + "Correct": "b", + "Explanation": "amount of work done by john and roger in 1 day = 1 / 24 amount of work done by john and roger in 16 days = 16 \u00e3 \u2014 ( 1 / 24 ) = 2 / 3 remaining work \u00e2 \u20ac \u201c 1 \u00e2 \u20ac \u201c 2 / 3 = 1 / 3 john completes 1 / 3 work in 16 days amount of work john can do in 1 day = ( 1 / 3 ) / 16 = 1 / 48 = > john can complete the work in 48 days answer : b" + }, + { + "Answer": 1980, + "Options": "a ) 1980 , b ) 1920 , c ) 1990 , d ) 1890 , e ) 1900", + "Correct": "a", + "Explanation": "\"the total number of stations = 45 from 45 stations we have to choose any two stations and the direction of travel ( ernakulam to chennai is different from chennai to ernakulam ) in 45 p 2 ways . 45 p 2 = 45 * 44 = 870 answer : a\"" + }, + { + "Answer": 24, + "Options": "a ) 87 days , b ) 20 days , c ) 16 days , d ) 24 days , e ) 36 days", + "Correct": "d", + "Explanation": "\"c = 1 / 4 - 1 / 8 - 1 / 12 = 1 / 24 = > 24 days answer : d\"" + }, + { + "Answer": 30, + "Options": "a ) 30 , b ) 60 , c ) 25 , d ) 40 , e ) 10", + "Correct": "a", + "Explanation": "speed of train relative to man = ( 60 + 6 ) km / hr = 66 km / hr [ 66 * 5 / 18 ] m / sec = [ 55 / 3 ] m / sec . time taken to pass the man = [ 550 * 3 / 55 ] sec = 30 sec answer : a" + }, + { + "Answer": 0.016666666666666666, + "Options": "a ) 1 / 3 , b ) 1 / 30 , c ) 1 / 10 , d ) 1 / 45 , e ) 1 / 60", + "Correct": "e", + "Explanation": "\"pete covered 5 * 60 = 300 miles which correspond to 5 inches on the map - - > scale in inches per mile is 5 / 300 = 1 / 60 . answer : e .\"" + }, + { + "Answer": 3, + "Options": "a ) 5 hours , b ) 4 hours , c ) 3 hours , d ) 2 hours , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : speed of the boat in still water = 22 km / hr speed of the stream = 5 km / hr speed downstream = ( 22 + 5 ) = 27 km / hr distance travelled downstream = 81 km time taken = distance / speed = 81 / 27 = 3 hours . answer : option c\"" + }, + { + "Answer": 20, + "Options": "a ) 2 days , b ) 6 days , c ) 12 days , d ) 20 days , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : in this type of question , where we have one person work and together work done . then we can easily get the other person work just by subtracting them . as son ' s one day work = ( 1 / 4 \u2212 1 / 5 ) = ( 5 \u2212 4 ) / 20 = 1 / 20 so son will do whole work in 20 days answer : d\"" + }, + { + "Answer": 54, + "Options": "a ) 22 , b ) 88 , c ) 90 , d ) 21 , e ) 54", + "Correct": "e", + "Explanation": "\"15 * 18 / 5 = 54 kmph answer : e\"" + }, + { + "Answer": 35, + "Options": "a ) 20 , b ) 25 , c ) 28 , d ) 30 , e ) 35", + "Correct": "e", + "Explanation": "first recognize that we have two pieces of information regarding the time bill spent driving each day . on day 1 , bill drove 2 hours longer than he drove on day 2 . so , let x = # of driving hours on day 2 then x + 2 = # of driving hours on day 1 bill drove a total of 18 hours so , x + ( x + 2 ) = 18 simplify : 2 x + 2 = 18 solve , x = 8 so , bill drove 10 hours on day 1 and he drove 8 hours on day 2 now let ' s solve the question by starting with a word equation . let x = speed driven on day 2 so , x + 5 = speed driven on day 1 ( distance traveled on day 1 ) + ( distance traveled on day 2 ) = 680 distance = ( rate ) ( time ) we get : ( x + 5 ) ( 10 ) + ( x ) ( 8 ) = 680 expand : 10 x + 50 + 8 x = 680 simplify : 18 x + 50 = 680 18 x = 630 x = 35 ( mph ) answer : e" + }, + { + "Answer": 12, + "Options": "a ) 10 metres , b ) 20 metres , c ) 14 metres , d ) 12 metres , e ) 13 metres", + "Correct": "d", + "Explanation": "\"between 26 trees , there are 25 gaps length of each gap = 300 / 25 = 12 i . e . , distance between two consecutive trees = 12 answer : d\"" + }, + { + "Answer": 1500, + "Options": "a ) 300 , b ) 800 , c ) 1500 , d ) 1200 , e ) 1900", + "Correct": "c", + "Explanation": "( 1 / 5 ) * 2500 = 500 remaining = 2500 - 500 = 2000 ( 1 / 4 ) of remaining = ( 1 / 4 ) * 2000 = 500 remaining now = 2000 - 500 = 1500 answer : option c" + }, + { + "Answer": 16, + "Options": "a ) 16 , b ) 56 , c ) 76 , d ) 87 , e ) 24", + "Correct": "a", + "Explanation": "\"the product of two integers is equal to the product of their lcm and gcf . hence . 24 * n = 48 * 8 n = 48 * 8 / 24 = 16 correct answer a\"" + }, + { + "Answer": 7.199999999999999, + "Options": "a ) 15 , b ) 7.2 , c ) 7.7 , d ) 7.4 , e ) 8", + "Correct": "b", + "Explanation": "\"a ' s 1 day work = 1 / 12 , b ' s 1 day work = 1 / 18 ; ( a + b ) 1 day work = 1 / 12 + 1 / 18 = 5 / 36 ; they can finish the work in = 36 / 5 = 7.2 answer : b\"" + }, + { + "Answer": 6, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 9", + "Correct": "c", + "Explanation": "explanation : let the required number of men be x . less days , more men ( indirect proportion ) more working hrs per day , less men ( indirect proportion ) days 8 : 10 working hrs 20 : 8 : : 12 : x = > 8 x 20 x x = 10 x 8 x 12 = > x = 10 x 8 x 12 / ( 8 x 20 ) = > x = 6 answer : c" + }, + { + "Answer": 0.30000000000000004, + "Options": "a ) 1 / 5 , b ) 1 / 6 , c ) 1 / 7 , d ) 3 / 10 , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : please note in this question , we need to answer part of work for a day rather than complete work . it was worth mentioning here because many do mistake at this point in hurry to solve the question so lets solve now , a ' s 1 day work = 1 / 10 b ' s 1 day work = 1 / 5 [ because b take half the time than a ] ( a + b ) ' s one day work = ( 1 / 10 + 1 / 5 ) = 3 / 10 so in one day 3 / 10 work will be done answer : d\"" + }, + { + "Answer": 99, + "Options": "a ) a ) 99 , b ) b ) 77 , c ) c ) 66 , d ) d ) 55 , e ) e ) 88", + "Correct": "a", + "Explanation": "\"( 81 * 8 ) / 30 = ( x * 6 ) / 50 = > x = 180 180 \u2013 81 = 99 answer : a\"" + }, + { + "Answer": 5, + "Options": "a ) 26 , b ) 88 , c ) 90 , d ) 42 , e ) 5", + "Correct": "e", + "Explanation": "\"sp of 1 m of cloth = 660 / 66 = rs . 10 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 10 - rs . 5 = rs . 5 answer : e\"" + }, + { + "Answer": 53.99999999999999, + "Options": "a ) 54 , b ) 25 , c ) 37 , d ) 41 , e ) 30", + "Correct": "a", + "Explanation": "work done by mahesh in 45 days = 20 * 1 / 45 = 4 / 9 remaining work = 1 - 4 / 9 = 5 / 9 5 / 9 work is done by rajesh in 30 days whole work will be done by rajesh is 30 * 9 / 5 = 54 days answer is a" + }, + { + "Answer": 65, + "Options": "a ) 50 kmph , b ) 65 kmph , c ) 75 kmph , d ) 85 kmph , e ) 65 kmph", + "Correct": "e", + "Explanation": "\"explanation : s = ( 100 + 30 ) / 2 = 65 kmph e )\"" + }, + { + "Answer": 12, + "Options": "a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16", + "Correct": "c", + "Explanation": "explanation : there are 360 degrees in a complete circle , so 360 / 30 = 12 hours to make one full circle . in 6 days there are 24 hours x 6 = 144 hours total . the total number of rotations will be 144 / 12 = 12 . answer : ( c )" + }, + { + "Answer": 58.08, + "Options": "a ) 23.89 , b ) 72.9 , c ) 58.08 , d ) 78.3 , e ) 79.3", + "Correct": "c", + "Explanation": "\"explanation : let the initial quantity of milk in vessel be t litres . let us say y litres of the mixture is taken out and replaced by water for n times , alternatively . quantity of milk finally in the vessel is then given by [ ( t - y ) / t ] n * t for the given problem , t = 75 , y = 9 and n = 2 . hence , quantity of milk finally in the vessel = [ ( 75 - 9 ) / 75 ] ^ 2 ( 75 ) = 58.08 litres . answer : option c\"" + }, + { + "Answer": 132, + "Options": "a ) 36 , b ) 72 , c ) 120 , d ) 132 , e ) 180", + "Correct": "d", + "Explanation": "\"old machine 100 bolts in 60 mins so , 5 / 3 bolts in 1 min new machine 150 bolts in 60 mins so , 5 / 2 bolts in 1 min together , 5 / 3 + 5 / 2 = 25 / 6 bolts in 1 min so , for 550 bolts 550 * 6 / 25 = 132 mins ans d\"" + }, + { + "Answer": 260.0416, + "Options": "a ) 230 m , b ) 240 m , c ) 260 m , d ) 270 m , e ) 250 m", + "Correct": "c", + "Explanation": "s = 260 + x / t 72 * 5 / 18 = 260 + x / 26 x = 260 answer : c" + }, + { + "Answer": 10, + "Options": "a ) 8.78 , b ) 8.67 , c ) 8.75 , d ) 10 , e ) 8.28", + "Correct": "d", + "Explanation": "\"( 5 * 4 ) / 2 = 10 answer : d\"" + }, + { + "Answer": 68.18181818181819, + "Options": "a ) 68 , b ) 54 , c ) 21 , d ) 48 , e ) 22", + "Correct": "a", + "Explanation": "\"1 mile = 5280 feet = > 1 feet = 1 / 5280 miles if the object travels 200 feet in 2 sec then it travels 200 / 2 * 60 * 60 feet in 1 hour ( 1 hr = 60 min * 60 sec ) = 3600 * 100 feet in 1 hour = 360000 feet in 1 hr = 360000 / 5280 miles in 1 hour = 36000 / 528 miles / hr ~ 68 miles / hr answer - a\"" + }, + { + "Answer": 4, + "Options": "a ) 2.5 , b ) 3.0 , c ) 4.0 , d ) 6.5 , e ) 8.0", + "Correct": "c", + "Explanation": "\"let initial volume of ice be = x ice remaining after 1 hour = x - 0.75 x = 0.25 x ice remaining after 2 hour = ( 1 / 4 ) x - ( 3 / 4 * 1 / 4 * x ) = ( 1 / 16 ) x ( 1 / 16 ) x = 0.25 x = 4 alternate solution : try to backsolve . initial volume = 4 after one hour - - > ( 1 / 4 ) 4 = 1 after two hours - - > ( 1 / 4 ) 1 = 0.25 answer : c\"" + }, + { + "Answer": 42.01690497626037, + "Options": "a ) 84 m , b ) 88 m , c ) 42 m , d ) 137 m , e ) none", + "Correct": "c", + "Explanation": "\"sol . let the length of the wire b h . radius = 1 / 2 mm = 1 / 20 cm . then , 22 / 7 * 1 / 20 * 1 / 20 * h = 33 \u21d4 = [ 33 * 20 * 20 * 7 / 22 ] = 4200 cm = 42 m . answer c\"" + }, + { + "Answer": 27.99999999999998, + "Options": "a ) 28 days , b ) 76 days , c ) 16 days , d ) 18 days , e ) 19 days", + "Correct": "a", + "Explanation": "8 / 12 + 6 / x = 1 x = 18 days answer : a" + }, + { + "Answer": 10.000000000000002, + "Options": "a ) 3 , b ) 10 , c ) 6 , d ) 8 , e ) 9", + "Correct": "b", + "Explanation": "\"work done by x in 1 day = 1 / 30 work done by y in 1 day = 1 / 15 work done by y in 10 days = 10 / 15 = 2 / 3 remaining work = 1 \u2013 2 / 3 = 1 / 3 number of days in which x can finish the remaining work = ( 1 / 3 ) / ( 1 / 30 ) = 10 b\"" + }, + { + "Answer": 16, + "Options": "a ) 28 days . , b ) 14 days . , c ) 12 days . , d ) 16 days . , e ) 18 days .", + "Correct": "d", + "Explanation": "solution ( a \u2019 s 1 day \u2019 s work ) : ( b \u2019 s 1 day \u2019 s work ) = 3 : 1 . ( a + b ) ' s 1 day \u2019 s work = 1 / 12 divide 1 / 14 in the ratio 3 : 1 . \u2234 a \u2019 s 1 day \u2019 s work = ( 1 / 12 x 2 / 3 ) = 1 / 16 hence , a alone can finish the work in 16 days . answer d" + }, + { + "Answer": 58, + "Options": "a ) 55 m , b ) 56 m , c ) 57 m , d ) 58 m , e ) 59 m", + "Correct": "d", + "Explanation": "a beats b in 500 m race by 50 m so , for every 10 m race a beat b by 1 m . . so , in 400 m race a beat b by 40 m in a case of b & c , b beats c by 25 m in 500 m race . . so , b beats c by 1 m in 20 m race now , in a 400 m race b beats c by 18 m . . in a 400 m race , a beats b by 40 m & b beats c by 18 m . . so , a beats c by 58 m answer : d" + }, + { + "Answer": 7, + "Options": "a ) 2 , b ) 4 , c ) 12 , d ) 40 , e ) 7", + "Correct": "e", + "Explanation": "actual miles / gallon is = 480 / 40 = 12 miles / gallon . current engine miles / gallon is 5 miles / gallon . additional 7 miles / gallon is required to match the actual mileage . imo option e ." + }, + { + "Answer": 59.99999999999999, + "Options": "a ) 87 , b ) 69 , c ) 60 , d ) 72 , e ) 21", + "Correct": "c", + "Explanation": "\"speed = 30 km / hr = 30 * ( 5 / 18 ) m / sec = 25 / 3 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 * ( 3 / 25 ) = 60 seconds answer : c\"" + }, + { + "Answer": 14.5, + "Options": "a ) 14.5 minutes , b ) 29 minutes , c ) 35 minutes , d ) 58 minutes , e ) 87 minutes", + "Correct": "a", + "Explanation": "danny ' s time is 29 minutes . the time to reach halfway is 14.5 minutes . steve ' s time is 58 minutes . the time to reach halfway is 29 minutes . the time difference is 29 - 14.5 = 14.5 minutes the answer is a ." + }, + { + "Answer": 880, + "Options": "a ) 700 m , b ) 500 m , c ) 870 m , d ) 880 m , e ) 840 m", + "Correct": "d", + "Explanation": "\"distance covered by amar = 24 / 60 ( 2.2 km ) = 2 / 5 ( 2200 ) = 880 m answer : d\"" + }, + { + "Answer": 12375, + "Options": "a ) rs . 15,000 , b ) rs . 15,500 , c ) rs . 12,375 , d ) rs . 16,500 , e ) none", + "Correct": "c", + "Explanation": "\"solution area of the floor = ( 5.5 x 3.75 ) m \u00b2 = 20.635 m \u00b2 cost of paying = rs . ( 600 x 20.625 ) = rs . 12,375 . answer c\"" + }, + { + "Answer": 24, + "Options": "a ) 15 days . , b ) 12 days . , c ) 24 days . , d ) 13 days . , e ) 16 days .", + "Correct": "c", + "Explanation": "x and y complete in one day = 1 / 12 part , y completes in one day = 1 / 24 parts . therefore x alone can do in one day = 1 / 24 part . therefore the work can be finished by x = 24 days . ans : c" + }, + { + "Answer": 0.015151515151515152, + "Options": "a ) 1 / 26 , b ) 1 / 36 , c ) 1 / 46 , d ) 1 / 66 , e ) 1 / 56", + "Correct": "d", + "Explanation": "probability that james and david will both be chosen out of 12 workers = ( 2 / 12 ) * ( 1 / 11 ) = 1 / 66 answer d" + }, + { + "Answer": 26.6, + "Options": "a ) 22.8 kg , b ) 26.6 kg , c ) 28 kg , d ) 26.5 kg , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : let the required weight be x kg . then , less length , less weight ( direct proportion ) = > 11.25 : 7 : : 42.75 : x = > 11.25 x x = 7 x 42.75 = > x = ( 7 x 42.75 ) / 11.25 = > x = 26.6 answer : b\"" + }, + { + "Answer": 448, + "Options": "a ) 600 , b ) 490 , c ) 448 , d ) 435 , e ) 679", + "Correct": "c", + "Explanation": "\"let x be the number of days in the initial plan . therefore , the whole field is 160 \u00e2 \u2039 \u2026 x hectares . the farmer had to work for x + 2 days , and he ploughed 85 ( x + 2 ) hectares , leaving 40 hectares unploughed . then we have the equation : 160 x = 85 ( x + 2 ) + 40 75 x = 210 x = 2.8 so the farmer planned to have the work done in 6 days , and the area of the farm field is 160 ( 2.8 ) = 448 hectares correct answer c\"" + }, + { + "Answer": 3.75, + "Options": "a ) 4 minutes , b ) 15 / 4 minutes , c ) 192 / 7 minutes , d ) 224 / 7 minutes , e ) 28 minutes", + "Correct": "b", + "Explanation": "\"pipe a can fill a tank in 30 minutes - - > the rate of a = 1 / 30 tank / minute ; pipe b can fill the same tank 6 times fasterthan pipe a - - > the rate of b = 1 / 30 + 6 / 30 = 7 / 30 tank / minute . their combined rate = 1 / 30 + 7 / 30 = 4 / 15 tank / minute ; therefore , a and b can fill the tank in 15 / 4 minutes . answer : b\"" + }, + { + "Answer": 17.999999999999993, + "Options": "a ) 11 , b ) 17 , c ) 18 , d ) 19 , e ) 16", + "Correct": "c", + "Explanation": "\"c = 1 / 4 - 1 / 12 \u2013 1 / 9 = 1 / 18 = > 18 days ' answer : c\"" + }, + { + "Answer": 34.999999999999986, + "Options": "a ) 25 days , b ) 30 days , c ) 23 days , d ) 35 days , e ) 45 days", + "Correct": "d", + "Explanation": "work done by b in 1 day = 1 / 10 - 1 / 14 = ( 7 - 5 ) / 70 = 1 / 35 so , b alone can do the work in 35 days . answer : d" + }, + { + "Answer": 13.333333333333332, + "Options": "a ) 5.2 hrs , b ) 13.3 hrs , c ) 1.9 hrs , d ) 7.2 hrs , e ) 1.4 hrs", + "Correct": "b", + "Explanation": "\"net part filled in 1 hour = ( 1 / 5 - 1 / 8 ) = 3 / 40 the cistern will be filled in 40 / 3 hrs i . e . , 13.3 hrs . answer : b\"" + }, + { + "Answer": 40, + "Options": "a ) 11 , b ) 40 , c ) 66 , d ) 55 , e ) 44", + "Correct": "b", + "Explanation": "\"760 - - - - 22 760 - - - - 20 x - - - - - 19 x * 19 = 760 * 20 x = 800 760 - - - - - - - 40 answer : b\"" + }, + { + "Answer": 55, + "Options": "a ) 80 , b ) 55 , c ) 56 , d ) 16 , e ) 14", + "Correct": "b", + "Explanation": "10 x = 110 = > x = 11 therefore the secretary who worked the longest spent 11 x 5 = 55 hours on the project option ( b )" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 12 , e ) 14", + "Correct": "d", + "Explanation": "\"lets suppose anne and bruce take a and b hrs working separately so in 1 hour they can together finish 1 / a + 1 / b portion of the work which equals 1 / 4 ( as the work is completed in 4 hours ) after anne doubles her rate of work the portion completed by the both is 1 / a + 2 / b which is equal to 1 / 3 ( as the work is completed in s = 3 hours ) solving these 2 equations we can find b as 12 so , d\"" + }, + { + "Answer": 17, + "Options": "a ) 15 hrs , b ) 18 hrs , c ) 19 hrs , d ) 17 hrs , e ) 16 hrs", + "Correct": "d", + "Explanation": "\"if monkey hops 3 ft and slips back 2 ft in a hour , it means the monkey hops ( 3 ft - 2 ft ) = 1 ft / hr . similarly in 16 hrs it wil be 16 ft . bt since the height of the tree is 19 ft , so if the monkey hops up the tree in the next hr i . e 17 th hr then it reaches at the top of the tree . hence it takes 17 hrs for monkey to reach at the top answer : d\"" + }, + { + "Answer": 0.01282051282051282, + "Options": "a ) 1 / 3 , b ) 1 / 30 , c ) 1 / 10 , d ) 1 / 78 , e ) 30", + "Correct": "d", + "Explanation": "\"pete covered 6.5 * 60 = 390 miles which correspond to 5 inches on the map - - > scale in inches per mile is 5 / 390 = 1 / 78 . answer : d .\"" + }, + { + "Answer": 88, + "Options": "a ) 64 , b ) 72 , c ) 80 , d ) 88 , e ) 96", + "Correct": "d", + "Explanation": "\"area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 4 x 1.25 + 12 x 1.25 ) + 12 x 4 ] = 88 the answer is d .\"" + }, + { + "Answer": 20, + "Options": "a ) 1 , b ) 40 , c ) 20 , d ) 26 , e ) 30", + "Correct": "c", + "Explanation": "\"explanation : one bag of husk = 20 cows per day \u21d2 20 \u00d7 1 \u00d7 20 = 1 \u00d7 20 \u00d7 x for one cow = 20 days answer : c\"" + }, + { + "Answer": 13, + "Options": "a ) 8 , b ) 5 , c ) 9 , d ) 6 , e ) 13", + "Correct": "e", + "Explanation": "\"at $ 3 per hour up to 40 hours , regular pay = $ 3 x 40 = $ 120 if total pay = $ 168 , overtime pay = $ 198 - $ 120 = $ 78 overtime rate ( twice regular ) = 2 x $ 3 = $ 6 per hour = > number of overtime hours = $ 78 / $ 6 = 13 ans is e\"" + }, + { + "Answer": 11, + "Options": "a ) 1 minutes , b ) 11 minute , c ) 100 minutes , d ) 10000 minutes , e ) 1000 minutes", + "Correct": "b", + "Explanation": "\"we can try the logic of time and work , our work is to kill the deers so 11 ( lions ) * 11 ( min ) / 11 ( deers ) = 100 ( lions ) * x ( min ) / 100 ( deers ) hence answer is x = 11 answer : b\"" + }, + { + "Answer": 10, + "Options": "a ) 9 , b ) 5 , c ) 7 , d ) 6 , e ) 10", + "Correct": "e", + "Explanation": "\"explanation : speed downstream = ( 20 + 5 ) kmph = 25 kmph distance travelled = ( 25 * ( 24 / 60 ) ) km = 10 km . answer : e\"" + }, + { + "Answer": 0.5671641791044776, + "Options": "a ) 38 / 67 , b ) 8 / 41 , c ) 9 / 348 , d ) 1 / 8 , e ) 41 / 91", + "Correct": "a", + "Explanation": "\"- - - - - - - - - ui - - - - - - - - - - - - - - - - nui - - - - - - - total pt - - - - ( 12.5 / 100 ) * 104 = 13 - - - - - - - - - - - - - 54 npt - - - 104 - 13 - - - - - - - - - - - - - - x - - - - - - - - 281 total - - 104 - - - - - - - - - - - - - - - - - - - - - - - - - - - - 335 we have to find not part time and not uninsured . in other words not part time and insured = x / 335 = ( 281 - 104 + 13 ) / 335 = 38 / 67 answer is a .\"" + }, + { + "Answer": 8, + "Options": "a ) 10 , b ) 8 , c ) 20 , d ) 25 , e ) 30", + "Correct": "b", + "Explanation": "\"8 * 4 = 4 * x x = 8 answer : b\"" + }, + { + "Answer": 10500, + "Options": "a ) 4500 m 3 , b ) 4580 m 3 , c ) 10500 m 3 , d ) 4900 m 3 , e ) 4700 m 3", + "Correct": "c", + "Explanation": "\"explanation : ( 7000 * 2 * 45 ) / 60 = 10500 m 3 answer : option c\"" + }, + { + "Answer": 139.7849462365591, + "Options": "a ) 139.78 , b ) 139.13 , c ) 139.22 , d ) 111.0 , e ) 111.12", + "Correct": "a", + "Explanation": "\"a runs 1000 m while b runs 930 m and c runs 800 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 800 ) / 930 = 860.21 m . b can give c = 1000 - 860.21 = 139.78 m . answer : a\"" + }, + { + "Answer": 140.00014, + "Options": "a ) 140 cm 2 , b ) 185 cm 2 , c ) 185 cm 2 , d ) 185 cm 2 , e ) 195 cm 2", + "Correct": "a", + "Explanation": "\"explanation : area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 10 + 18 ) * ( 10 ) = 140 cm 2 answer : option a\"" + }, + { + "Answer": 44, + "Options": "a ) 36 mph , b ) 40 mph , c ) 44 mph , d ) 52 mph , e ) 58 mph", + "Correct": "c", + "Explanation": "\"explanations 1 ) in phase # 1 of the trip , the car traveled 40 mi at 20 mph . that time of this phase was : time = distance / rate = ( 40 mi ) / ( 20 mph ) = 2 hr in phase # 2 of the trip , the car traveled 180 mi at 60 mph . that time of this phase was : time = distance / rate = ( 180 mi ) / ( 60 mph ) = 3 hr the total distance of the trip = 40 mi + 180 mi = 220 mi the total time of the trip = 2 hr + 3 hr = 5 hr the average speed of trip is given by speed = distance / time = ( 220 mi ) / ( 5 hr ) = 44 mph answer : c .\"" + }, + { + "Answer": 12.099032077433806, + "Options": "a ) 9.8 sec , b ) 12.1 sec , c ) 12.42 sec , d ) 14.3 sec , e ) 24.3 sec", + "Correct": "b", + "Explanation": "\"72 km / hr = 72 * 5 / 18 m / sec = 20 m / sec time = d / s = 110 + 132 / 20 = 242 / 20 = 12.1 sec answer : b\"" + }, + { + "Answer": 6, + "Options": "a ) 7 sec , b ) 6 sec , c ) 8 sec , d ) 4 sec , e ) 2 sec", + "Correct": "b", + "Explanation": "\"speed of train relative to man = ( 60 + 6 ) km / hr = 66 km / hr [ 66 * 5 / 18 ] m / sec = [ 55 / 3 ] m / sec . time taken to pass the man = [ 110 * 3 / 55 ] sec = 6 sec answer : b\"" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 5 , c ) 6 , d ) 67 , e ) 7", + "Correct": "a", + "Explanation": "\"m = 4 s = 2 us = 4 - 2 = 2 d = 6 t = 6 / 2 = 3 answer : a\"" + }, + { + "Answer": 77, + "Options": "a ) 77 , b ) 76 , c ) 28 , d ) 66 , e ) 11", + "Correct": "a", + "Explanation": "\"explanation : for ticking 6 times , there are 5 intervals . each interval has time duration of 35 / 5 = 7 secs at 12 o ' clock , there are 11 intervals , so total time for 11 intervals = 11 \u00d7 7 = 77 secs . answer : a\"" + }, + { + "Answer": 235, + "Options": "a ) 200 m , b ) 235 m , c ) 245 m , d ) 250 m , e ) 270 m", + "Correct": "b", + "Explanation": "\"let the length of the bridge : l the equation now is l + 140 / 12.5 m / s ( 45 km / hr or 12.5 m / s ) = 30 solving , l = 235 m answer : b\"" + }, + { + "Answer": 30, + "Options": "a ) 15 , b ) 66 , c ) 77 , d ) 30 , e ) 42", + "Correct": "d", + "Explanation": "\"90 * 20 / 60 = 30 kmph answer : d\"" + }, + { + "Answer": 40, + "Options": "a ) 79 kmph , b ) 40 kmph , c ) 34 kmph , d ) 23 kmph , e ) 14 kmph", + "Correct": "b", + "Explanation": "\"s = ( 20 + 60 ) / 2 = 40 kmph answer : b\"" + }, + { + "Answer": 0.35, + "Options": "a ) 18 / 50 , b ) 16 / 50 , c ) 7 / 20 , d ) 19 / 50 , e ) none", + "Correct": "c", + "Explanation": "\"answer 0.35 = 35 / 100 = 7 / 20 correct option : c\"" + }, + { + "Answer": 360, + "Options": "a ) 320 , b ) 360 , c ) 400 , d ) 440 , e ) 480", + "Correct": "b", + "Explanation": "\"after two hours , train a is ahead by 60 miles . train b can catch up at a rate of 6 miles per hour . the time to catch up is 60 / 6 = 10 hours . in 10 hours , train a travels another 30 * 10 = 300 miles for a total of 360 miles . the answer is b .\"" + }, + { + "Answer": 48, + "Options": "a ) 12 , b ) 23 , c ) 34 , d ) 48 , e ) 52", + "Correct": "d", + "Explanation": "\"let the speed be x . . . so time taken from home to grocery = 1200 / x . . the speed to gym = 2 x . . so time taken = 480 / 2 x = 240 / x . . its given 1200 / x - 240 / x = 40 . . 960 / x = 40 . . x = 24 m / secs . . so grocery to gym = 2 * 24 = 48 m / s . . . d\"" + }, + { + "Answer": 71.81818181818181, + "Options": "a ) 80 kmph , b ) 60 kmph , c ) 72 kmph , d ) 90 kmph , e ) none of these", + "Correct": "c", + "Explanation": "\"as we know that speed = distance / time for average speed = total distance / total time taken thus , total distance = 125 + 270 = 395 km thus , total speed = 5.5 hrs or , average speed = 5 = 395 / 5.5 or , 72 kmph . answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 22 , b ) 37 , c ) 30 , d ) 27 , e ) 40", + "Correct": "e", + "Explanation": "\"us = 32 ds = 48 m = ( 48 + 32 ) / 2 = 40 answer : e\"" + }, + { + "Answer": 2.5, + "Options": "a ) 1.6 , b ) 1.8 , c ) 3.5 , d ) 1.5 , e ) 2.5", + "Correct": "e", + "Explanation": "\"64 - - - 8 ds = 8 ? - - - - 1 24 - - - - 8 us = 3 ? - - - - 1 s = ? s = ( 8 - 3 ) / 2 = 2.5 answer : e\"" + }, + { + "Answer": 120, + "Options": "a ) 22 , b ) 28 , c ) 120 , d ) 287 , e ) 278", + "Correct": "c", + "Explanation": "let speed of the car = x kmphthen speed of the train = ( 100 + 50 ) 100 x = 150100 x = 32 x kmphtime taken by the car to travel from a to b = 75 x hourstime taken by the train to travel from a to b = 75 ( 32 x ) + 12.560 hourssince both start from a at the same time and reach point b at the same time 75 x = 75 ( 32 x ) + 12.56025 x = 12.560 x = 25 \u00d7 6012.5 = 2 \u00d7 60 = 120 answer : c" + }, + { + "Answer": 6, + "Options": "a ) 8.5 gallons , b ) 5 gallons , c ) 7 gallons , d ) 5.5 gallons , e ) 6 gallons", + "Correct": "e", + "Explanation": "\"each 20 kilometers , 1 gallon is needed . we need to know how many 20 kilometers are there in 120 kilometers ? 120 / 20 = 4.5 * 1 gallon = 6 gallons correct answer e\"" + }, + { + "Answer": 28.30194339616981, + "Options": "a ) 27 miles , b ) 25 miles , c ) 24 miles , d ) 28.3 miles , e ) 23 miles", + "Correct": "d", + "Explanation": "\"using pythagoras we have one side i , e total distance traveled in north direction = 18 + 6 = 24 m other being the base ie distance traveled west - distance traveled eat = 30 - 15 = 15 m now this third side or the distance between town a and town b = 24 ^ 2 + 15 ^ 2 = sq root 801 = 28.3 m answer : d\"" + }, + { + "Answer": 14.998800095992321, + "Options": "a ) 10 sec , b ) 15 sec , c ) 18 sec , d ) 20 sec , e ) 22 sec", + "Correct": "b", + "Explanation": "\"relative speed = 70 + 50 = 120 kmph * 5 / 18 = 100 / 3 m / s distance covered in crossing each other = 200 + 300 = 500 m required time = 500 * 3 / 100 = 15 sec answer is b\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12", + "Correct": "a", + "Explanation": "the least common multiple is 2 * 2 * 2 * 3 * 5 * 7 = 840 . 3600 seconds / 840 = 4 + remainder . the answer is a ." + }, + { + "Answer": 125.99999999999999, + "Options": "a ) 117 kmph , b ) 178 kmph , c ) 126 kmph , d ) 118 kmph , e ) 119 kmph", + "Correct": "c", + "Explanation": "\"length = speed * time speed = l / t s = 700 / 20 s = 35 m / sec speed = 35 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 126 kmph answer : c\"" + }, + { + "Answer": 45.6140350877193, + "Options": "a ) 29.32 sec , b ) 42.51 sec , c ) 39.25 sec , d ) 45.61 sec , e ) none of these", + "Correct": "d", + "Explanation": "explanation : given loom weaves 1.14 mts of cloth in one second then 52 mts of cloth can be weaved by loom in , 1.14 - - - - - 1 52.0 - - - - - - ? = > 52 / 1.14 = 45.61 sec answer is d" + }, + { + "Answer": 8.571428571428571, + "Options": "a ) 7 days , b ) 8.6 days , c ) 13 days , d ) 5.6 days , e ) 10 days", + "Correct": "b", + "Explanation": "a + b can do the work in 20 * 15 / 20 + 15 = 20 * 15 / 35 = 8.6 days answer is b" + }, + { + "Answer": 33, + "Options": "a ) 33 , b ) 32 , c ) 60 , d ) data inadequate , e ) none of these", + "Correct": "a", + "Explanation": "\"capacity of the tank = 22 \u00e3 \u2014 13.5 = 297 litres when the capacity of each bucket = 9 litres , then the required no . of buckets = 297 \u00e2 \u0081 \u201e 9 = 33 answer a\"" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 6 , c ) 4 , d ) 7 , e ) 5", + "Correct": "a", + "Explanation": "\"required number of machines = 8 * 10 / 40 = 2 answer is a\"" + }, + { + "Answer": 18, + "Options": "a ) 18 , b ) 19 , c ) 10 , d ) 11 , e ) 12", + "Correct": "a", + "Explanation": "explanation : 24 trees have 23 gaps between them , required distance ( 414 / 23 ) = 18 option a" + }, + { + "Answer": 700, + "Options": "a ) 500 , b ) 600 , c ) 650 , d ) 700 , e ) 750", + "Correct": "d", + "Explanation": "area of verandah = [ ( 25 \u00e3 \u0192 \u00e2 \u20ac \u201d 20 ) ? ( 20 \u00e3 \u0192 \u00e2 \u20ac \u201d 15 ) ] m \u00e2 \u00b2 = 200 m \u00e2 \u00b2 cost of flooring = rs . ( 200 \u00e3 \u0192 \u00e2 \u20ac \u201d 3.50 ) = rs . 700 answer : d" + }, + { + "Answer": 24, + "Options": "a ) 21 , b ) 22 , c ) 23 , d ) 20 , e ) 24", + "Correct": "e", + "Explanation": "speed of the boat downstream = 30 + 6 = 36 kmph = 36 * 5 / 18 = 10 m / s hence time taken to cover 240 m = 240 / 10 = 24 seconds . answer : e" + }, + { + "Answer": 18.998480121590273, + "Options": "a ) 10 sec , b ) 32 sec , c ) 82 sec , d ) 20 sec , e ) 19 sec", + "Correct": "e", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 100 + 280 = 380 m . the time required = d / s = 380 / 20 = 19 sec . answer : e\"" + }, + { + "Answer": 413.33333333333337, + "Options": "a ) 266.5 , b ) 413.3 , c ) 425.8 , d ) 189.3 , e ) 249.6", + "Correct": "b", + "Explanation": "\"12 men 120 acres 36 days 24 men ? 62 days 120 * 24 / 12 * 62 / 36 120 * 2 * 31 / 18 240 * 1.72 = 413.3 answer : b\"" + }, + { + "Answer": 50, + "Options": "a ) 50 miles , b ) 62 miles , c ) 325 miles , d ) 70 miles , e ) 20 miles", + "Correct": "a", + "Explanation": "\"during each hour , the car travels 65 miles . for 5 hours it will travel 10 + 10 + 10 + 10 + 10 = 5 * 10 = 50 miles correct answer a\"" + }, + { + "Answer": 21, + "Options": "a ) 23 , b ) 22 , c ) 19 , d ) 20 , e ) 21", + "Correct": "e", + "Explanation": "\"42 * 25 = 50 * x x = 21 days answer : e\"" + }, + { + "Answer": 44, + "Options": "a ) 32 , b ) 28 , c ) 29 , d ) 44 , e ) 21", + "Correct": "d", + "Explanation": "\"s = ( 250 + 300 ) / 45 = 550 / 45 * 18 / 5 = 44 answer : d\"" + }, + { + "Answer": 0.16666666666666666, + "Options": "a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 6 , e ) 1 / 8", + "Correct": "d", + "Explanation": "\"4 / 16 * 2 / 3 = 1 / 6 the answer is d .\"" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 12 , e ) 14", + "Correct": "d", + "Explanation": "\"lets suppose anne and bruce take a and b hrs working separately so in 1 hour they can together finish 1 / a + 1 / b portion of the work which equals 1 / 4 ( as the work is completed in 4 hours ) after anne doubles her rate of work the portion completed by the both is 1 / a + 2 / b which is equal to 1 / 3 ( as the work is completed in 3 hours ) solving these 2 equations we can find b as 12 answer : d\"" + }, + { + "Answer": 66.60000000000001, + "Options": "a ) 33 , b ) 27 , c ) 66.6 , d ) 22 , e ) 72", + "Correct": "c", + "Explanation": "\"sol : ( length of train + length of bridge ) = speed of train x time ( 250 + 120 ) = 20 x speed speed = 370 / 20 = 18.5 m / s = 66.6 km / h answer = c\"" + }, + { + "Answer": 23.998080153587715, + "Options": "a ) 24 , b ) 30 , c ) 40 , d ) 45 , e ) 50", + "Correct": "a", + "Explanation": "\"relative speed of the train = 63 - 3 = 60 kmph = 60 * 5 / 18 = 50 / 3 m / sec t = 400 * 3 / 50 = 24 sec answer : a\"" + }, + { + "Answer": 216, + "Options": "a ) 176 kmph , b ) 108 kmph , c ) 216 kmph , d ) 134 kmph , e ) 161 kmph", + "Correct": "c", + "Explanation": "\"s = 240 / 4 * 18 / 5 = 216 kmph answer : c\"" + }, + { + "Answer": 2.5, + "Options": "a ) 2.5 kmph , b ) 3.5 kmph , c ) 4.5 kmph , d ) 1.5 kmph , e ) 9.5 kmph", + "Correct": "a", + "Explanation": "speed upstream = 10 / 3 speed of boat down stream = 10 / 6 speed of boat = 1 / 2 ( 10 / 3 + 10 / 6 ) = 2.5 kmph answer : a" + }, + { + "Answer": 34200, + "Options": "a ) 25650 , b ) 25750 , c ) 26550 , d ) 26750 , e ) 34200", + "Correct": "e", + "Explanation": "\"area = 8 \u00d7 4.75 sq . metre . cost for 1 sq . metre . = rs . 900 hence total cost = 8 \u00d7 4.75 \u00d7 900 = 8 \u00d7 4275 = rs . 34200 answer is e .\"" + }, + { + "Answer": 7.5, + "Options": "['a ) 8.5 min', 'b ) 7.5 min', 'c ) 1.5 min', 'd ) 9.5 min', 'e ) 4.5 min']", + "Correct": "b", + "Explanation": "explanation : b runs around the track in 10 min . i . e , speed of b = 10 min per round a beats b by 1 round time taken by a to complete 4 rounds = time taken by b to complete 3 rounds = 30 min a ' s speed = 30 / 4 min per round = 7.5 min per round hence , if the race is only of one round a ' s time over the course = 7 min 30 sec answer : b" + }, + { + "Answer": 118.11023622047244, + "Options": "a ) 114 , b ) 115 , c ) 116 , d ) 117 , e ) 118", + "Correct": "e", + "Explanation": "\"let the required number of seconds be x more cloth , more time , ( direct proportion ) hence we can write as ( cloth ) 0.127 : 15 : : 1 : x = > 0.127 * x = 15 = > x = 15 / 0.127 = > x = 118 answer : e\"" + }, + { + "Answer": 10, + "Options": "a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", + "Correct": "a", + "Explanation": "\"ratio of times taken by mary and rosy = 110 : 100 = 11 : 10 suppose rosy takes x days to do the work . 11 : 10 : : 11 : x = > x = 10 days . hence , rosy takes 10 days to complete the work . answer : a\"" + }, + { + "Answer": 80, + "Options": "a ) 87 , b ) 279 , c ) 80 , d ) 278 , e ) 379", + "Correct": "c", + "Explanation": "\"when the second train leaves mumbai the first train covers 40 * 1 = 40 km so , the distance between first train and second train is 40 km at 10.00 am time taken by the trains to meet = distance / relative speed = 40 / ( 80 - 40 ) = 1 hours so , the two trains meet at 11 a . m . the two trains meet 1 * 80 = 80 km away from mumbai . answer : c\"" + }, + { + "Answer": 2.856914303998537, + "Options": "a ) 2.5 , b ) 2.9 , c ) 2.4 , d ) 2.85 , e ) 2.1", + "Correct": "d", + "Explanation": "\"speed = 126 * 5 / 18 = 35 m / sec time taken = 100 / 35 = 2.85 sec . answer : d\"" + }, + { + "Answer": 12, + "Options": "a ) 4 , b ) 7 , c ) 12 , d ) 15 , e ) 20", + "Correct": "c", + "Explanation": "\"please follow posting guidelines , link is in my signatures . as for your question , x / 60 = blocks / time / block = block ^ 2 / time . this is not what you want . you are given x blocks and 60 seconds per block . thus you need to put it as 60 * x to give you units of seconds as you are equating this to 480 ( which is time in seconds . ) . thus the correct equation is : 60 * x - 20 * x = 480 - - - - > 40 x = 480 - - > x = 12 . option c\"" + }, + { + "Answer": 5760.000000000001, + "Options": "a ) 5780 litres , b ) 5770 litres , c ) 5760 litres , d ) 5750 litres , e ) 5740 litres", + "Correct": "c", + "Explanation": "\"explanation : work done by the inlet in 1 hour = 1 / 6 \u2212 1 / 8 = 1 / 24 work done by inlet in 1 min = 1 / 24 \u2217 1 / 60 = 1 / 1440 = > volume of 1 / 1440 part = 4 liters volume of whole = ( 1440 * 4 ) litres = 5760 litres . option c\"" + }, + { + "Answer": 24, + "Options": "a ) 30 days , b ) 60 days , c ) 70 days , d ) 80 days , e ) 24 days", + "Correct": "e", + "Explanation": "amount of work done by david and andrew in 1 day = 1 / 12 amount of work done by david and andrew in 8 days = 8 \u00e3 \u2014 ( 1 / 12 ) = 2 / 3 remaining work \u00e2 \u20ac \u201c 1 \u00e2 \u20ac \u201c 2 / 3 = 1 / 3 david completes 1 / 3 work in 8 days amount of work david can do in 1 day = ( 1 / 3 ) / 8 = 1 / 24 = > david can complete the work in 24 days answer : e" + }, + { + "Answer": 900, + "Options": "a ) 900 km , b ) 300 km , c ) 700 km , d ) 800 km , e ) 100 km", + "Correct": "a", + "Explanation": "a 900 km at the time of meeting , let the distance traveled by the second train be x km . then , distance covered by the first train is ( x + 100 ) km . x / 40 = ( x + 100 ) / 50 50 x = 40 x + 4000 = > x = 400 so , distance between p and q = ( x + x + 100 ) km = 900 km ." + }, + { + "Answer": 350, + "Options": "a ) 310 meter , b ) 335 meter , c ) 345 meter , d ) 350 meter , e ) none of these", + "Correct": "d", + "Explanation": "explanation : speed = distance / \u0275 me = 300 / 18 = 50 / 3 m / sec let the length of the pla \u019e orm be x meters then distance = speed \u2217 timex + 300 = 503 \u2217 39 = > 3 ( x + 300 ) = 1950 = > x = 350 meters answer : d" + }, + { + "Answer": 25, + "Options": "a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28", + "Correct": "b", + "Explanation": "using 251 scraps we make = 22 soaps . ( i . e . , 11 * 22 = 242 ) remaining scraps = 9 . again , 22 soaps produce = 22 scraps . so , now we have 22 + 9 = 31 scraps remaining . using 31 scraps we make 2 soaps and 2 scraps remaining . ( i . e . , 2 * 11 = 22 ) again , that 2 soaps produce = 2 scraps . and already we have 9 scraps . total 9 + 2 = 11 sscraps . by using 11 scraps , we make 1 soap . so , total = 22 + 2 + 1 = 25 soaps we produce . answer : b" + }, + { + "Answer": 1110, + "Options": "a ) 1850 , b ) 2960 , c ) 3000 , d ) 1110 , e ) 1712", + "Correct": "d", + "Explanation": "\"1850 - - - - 28 1850 - - - - 16 x - - - - - 10 x * 10 = 1850 * 16 x = 2960 1850 - - - - - - - 1110 answer : d\"" + }, + { + "Answer": 9.99920006399488, + "Options": "a ) 5 sec , b ) 10 sec , c ) 12 sec , d ) 18 sec , e ) 15 sec", + "Correct": "b", + "Explanation": "\"answer : b . speed of the train relative to man = ( 62 - 8 ) kmph = ( 54 * 5 / 18 ) m / sec = 15 m / sec time taken by the train to cross the man = time taken by it to cover 150 m at 15 m / sec = 150 * 1 / 15 sec = 10 sec\"" + }, + { + "Answer": 15, + "Options": "a ) 6 hours , b ) 8 hours , c ) 15 hours , d ) 24 hours , e ) 32 hours", + "Correct": "c", + "Explanation": "\"i believe the answer is c . please see below for explanation . if jamshid can paint a dence in 50 percent less time then taimour we can infer the following rate j = 2 t if working together they can do the job in 8 hours we can infer 1 = 2 t + t * 5 = > 1 / 15 working alone taimour can do the job in 1 = 1 / 15 * hours = > 15 answer c\"" + }, + { + "Answer": 20, + "Options": "a ) 27 , b ) 29 , c ) 30 , d ) 20 , e ) 24", + "Correct": "d", + "Explanation": "\"us = 15 ds = 25 m = ( 15 + 25 ) / 2 = 20 answer : d\"" + }, + { + "Answer": 48, + "Options": "a ) 48 kmph , b ) 54 kmph , c ) 92 kmph , d ) 86 kmph , e ) 76 kmph", + "Correct": "a", + "Explanation": "\"s = 160 / 12 * 18 / 5 = 48 kmph answer : a\"" + }, + { + "Answer": 30, + "Options": "a ) 18 , b ) 24 , c ) 30 , d ) 36 , e ) 48", + "Correct": "c", + "Explanation": "\"speed = 72 km / hr = > 72,000 m / hr in one minute = > 72000 / 60 = 1200 meters in one sec = > 1200 / 60 = 20 meters time = total distance need to be covered / avg . speed = > 600 / 20 = 30 and hence the answer : c\"" + }, + { + "Answer": 16, + "Options": "a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", + "Correct": "c", + "Explanation": "explanation : wages of 1 woman for 1 day = 21600 / 40 \u00d7 30 wages of 1 man for 1 day = 21600 \u00d7 2 / 40 \u00d7 30 wages of 1 man for 25 days = 21600 \u00d7 2 \u00d7 25 / 40 \u00d7 30 number of men = 14400 / ( 21600 \u00d7 2 \u00d7 25 / 40 \u00d7 30 ) = 144 / ( 216 \u00d7 50 / 40 \u00d7 30 ) = 144 / 9 = 16 answer : option c" + }, + { + "Answer": 65, + "Options": "a ) 12 , b ) 75 , c ) 88 , d ) 65 , e ) 15", + "Correct": "d", + "Explanation": "\"s = ( 90 + 40 ) / 2 = 65 kmph answer : d\"" + }, + { + "Answer": 40, + "Options": "a ) 26 km / hr , b ) 40 km / hr , c ) 60 km / hr , d ) 77 km / hr , e ) 46 km / hr", + "Correct": "b", + "Explanation": "\"let the speed of the slower train be x m / sec . then , speed of the train = 2 x m / sec . relative speed = ( x + 2 x ) = 3 x m / sec . ( 100 + 100 ) / 12 = 3 x = > x = 50 / 9 . so , speed of the faster train = 100 / 9 = 100 / 9 * 18 / 5 = 40 km / hr . answer : b\"" + }, + { + "Answer": 12, + "Options": "a ) 08 hours , b ) 12 hours , c ) 03 hours , d ) 04 hours , e ) 21 hours", + "Correct": "b", + "Explanation": "\"the part of the tank filled by three pipes in one hour = 1 / 8 = > the part of the tank filled by two pipes in 1 hour = 2 / 3 * 1 / 8 = 1 / 12 . the tank can be filled in 12 hours . answer : b\"" + }, + { + "Answer": 2, + "Options": "a ) 4 : 1 , b ) 2 : 1 , c ) 10 : 1 , d ) 3 : 1 , e ) 1 : 2", + "Correct": "b", + "Explanation": "let time taken by dev to complete the work alone be x days and that by tina be y days work done by dev in 1 day = 1 / x work done by tina in 1 day = 1 / y work done by devtina in 1 day = 1 / x + 1 / y = ( x + y ) / xy thus working together they will complete the work in xy / ( x + y ) days acc . to the ques : 1 ) if dev works alone he will take 20 more hours to complete a task than if he worked with tina ' x - xy / ( x + y ) = 20 = > ( x ^ 2 ) / ( x + y ) = 20 . . . . . . . . . . . . . ( i ) 2 ) if tina works alone , she will take 5 more hours to complete the complete the task , then if she worked with dev y - xy / ( x + y ) = 5 = > ( y ^ 2 ) / ( x + y ) = 5 . . . . . . . . . . . . . . ( ii ) dividing ( i ) by ( ii ) x ^ 2 / y ^ 2 = 4 = > x / y = 2 ans : b hope it helps" + }, + { + "Answer": 9.332586726395222, + "Options": "a ) 8.1 , b ) 7.0 , c ) 9.33 , d ) 8 , e ) 9", + "Correct": "c", + "Explanation": "\"speed of train relative to man = 50 + 4 = 54 km / hr . = 54 * 5 / 18 = 15 m / sec . time taken to pass the men = 140 * 1 / 15 = 9.33 sec . answer : option c\"" + }, + { + "Answer": 8.799296056315494, + "Options": "a ) 5 , b ) 6 , c ) 7.5 , d ) 8.8 , e ) 9", + "Correct": "d", + "Explanation": "\"speed of train relative to man = 40 + 5 = 45 km / hr . = 45 * 5 / 18 = 25 / 2 m / sec . time taken to pass the men = 110 * 2 / 25 = 8.8 sec . answer : option d\"" + }, + { + "Answer": 42.49999999999996, + "Options": "a ) 13 seconds , b ) 17 seconds , c ) 26 seconds , d ) 34 seconds , e ) 42.5 seconds", + "Correct": "e", + "Explanation": "\"let t be the time that john spent for his final push . thus , per the question , 4.2 t = 3.8 t + 15 + 2 - - - > 0.4 t = 17 - - - > t = 42.5 seconds . e is the correct answer .\"" + }, + { + "Answer": 12, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 12 , e ) none of these", + "Correct": "d", + "Explanation": "\"the part of job that suresh completes in 9 hours = 9 \u00e2 \u0081 \u201e 15 = 3 \u00e2 \u0081 \u201e 5 remaining job = 1 - 3 \u00e2 \u0081 \u201e 5 = 2 \u00e2 \u0081 \u201e 5 remaining job can be done by ashutosh in 2 \u00e2 \u0081 \u201e 5 \u00e3 \u2014 30 = 12 hours answer d\"" + }, + { + "Answer": 21, + "Options": "a ) 18 , b ) 21 , c ) 24 , d ) 27 , e ) 30", + "Correct": "b", + "Explanation": "a ' s rate is 1 / 20 of the project per day . b ' s rate is 1 / 30 of the project per day . the combined rate is 1 / 12 of the project per day . in the last 15 days , b can do 1 / 2 of the project . thus a and b must complete 1 / 2 of the project , which takes 6 days . the total number of days is 6 + 15 = 21 . the answer is b ." + }, + { + "Answer": 900, + "Options": "a ) 500 km , b ) 630 km , c ) 900 km , d ) 660 km , e ) none", + "Correct": "c", + "Explanation": "\"sol . at the time of meeting , let the distane travelled byb the second train be x km . then , distance covered by the first train is ( x + 100 ) km \u2234 x / 40 = ( x + 100 ) / 50 \u21d4 50 x = 40 x 4000 \u21d4 x = 400 . so , distance between p and q = ( x + x + 100 ) km = 900 km . answer c\"" + }, + { + "Answer": 15, + "Options": "a ) 15 days , b ) 10 days , c ) 9 days , d ) 8 days , e ) 7 days", + "Correct": "a", + "Explanation": "explanation : ratio of times taken by a and b = 1 : 3 means b will take 3 times which a will do in 1 time if difference of time is 2 days , b takes 3 days if difference of time is 10 days , b takes ( 3 / 2 ) * 10 = 15 days option a" + }, + { + "Answer": 45, + "Options": "a ) 60 min , b ) 45 min , c ) 90 min , d ) 70 min , e ) 30 min", + "Correct": "b", + "Explanation": "work done by the third pipe in 1 min = 1 / 180 - ( 1 / 60 ) = - 1 / 45 . [ - ve sign means emptying ] the third pipe alone can empty the cistern in 45 min . answer : b" + }, + { + "Answer": 10, + "Options": "a ) 16 days , b ) 10 days , c ) 8 days , d ) 6 days , e ) 18 days", + "Correct": "b", + "Explanation": "\"number of days taken by ram to complete task = 30 since ram is half as efficient as krish , amount of work done by krish in 1 day = amount of work done by ram in 2 days if total work done by ram in 30 days is 30 w amount of work done by ram in 1 day = w amount of work done by krish in 1 day = 2 w total amount of work done by krish and ram in a day = 3 w total amount of time needed by krish and ram to complete task = 30 w / 3 w = 10 days answer b\"" + }, + { + "Answer": 50, + "Options": "a ) 45 , b ) 55 , c ) 60 , d ) 65 , e ) 50", + "Correct": "e", + "Explanation": "\"( time ) * ( rate ) = ( distance ) - - > ( rate ) = ( distance ) / ( time ) - - > given : ( rate ) = 200 / t = 350 / ( t + 3 ) - - > 4 / t = 7 / ( t + 3 ) - - > 4 t + 12 = 7 t - - - - > 3 t = 12 . t = 4 - - - - > ( rate ) = 200 / 4 = 50 answer : e\"" + }, + { + "Answer": 6, + "Options": "a ) 6 , b ) 24 , c ) 8 , d ) 12 , e ) 44", + "Correct": "a", + "Explanation": "\"40 - - - 8 ds = 5 ? - - - - 1 56 - - - - 8 us = 7 ? - - - - 1 m = ? m = ( 5 + 7 ) / 2 = 6 answer : a\"" + }, + { + "Answer": 180, + "Options": "a ) 288 , b ) 190 , c ) 188 , d ) 180 , e ) 12", + "Correct": "d", + "Explanation": "l = s * t s = 1100 / 110 s = 10 m / sec . total length ( d ) = 1800 m t = d / s t = 1800 / 10 t = 180 sec answer : d" + }, + { + "Answer": 16, + "Options": "a ) 24 , b ) 23 , c ) 22 , d ) 21 , e ) 16", + "Correct": "e", + "Explanation": "\"when b started walking y already has covered 3 miles out of 31 , hence the distance at that time between them was 31 - 3 = 28 miles . combined rate of b and y was 3 + 4 = 7 miles per hour , hence they would meet each other in 28 / 7 = 4 hours . in 6 hours b walked 4 * 4 = 16 miles . answer : e .\"" + }, + { + "Answer": 0.2777777777777778, + "Options": "a ) 5 / 18 , b ) 1 / 6 , c ) 1 / 4 , d ) 1 / 9 , e ) 2 / 6", + "Correct": "a", + "Explanation": "\"a ' s one day ' s work = 1 / 30 b ' s one day ' s work = 1 / 45 ( a + b ) ' s one day ' s work = 1 / 30 + 1 / 45 = 1 / 18 the part of the work completed in 5 days = 5 ( 1 / 18 ) = 5 / 18 . answer a\"" + }, + { + "Answer": 36, + "Options": "a ) 19 , b ) 22 , c ) 25 , d ) 20 , e ) 36", + "Correct": "e", + "Explanation": "2 nd day he earns = 3 ( 2 \u2013 3 ) 3 rd day he earns = 3 ( 3 \u2013 3 ) on 15 th day he earns 3 ( 15 - 3 ) = 36 rupees answer : e" + }, + { + "Answer": 180, + "Options": "a ) 160 , b ) 170 , c ) 180 , d ) 190 , e ) 200", + "Correct": "c", + "Explanation": "one man can complete the job in 24 * 75 = 1800 days to complete the job twice he would need 3600 days . thus , to complete the job in 20 days , 3600 / 20 = 180 men are needed . answer : c" + }, + { + "Answer": 10, + "Options": "a ) 5 , b ) 10 , c ) 17 , d ) 25 , e ) 30", + "Correct": "b", + "Explanation": "\"30 * 25 = 750 425 - - - - - - - - - - - 325 25 + 7.50 = 32.5 325 / 32.5 = 10 b\"" + }, + { + "Answer": 354.92857142857144, + "Options": "a ) 381 , b ) 382 , c ) 383 , d ) 384 , e ) 355", + "Correct": "e", + "Explanation": "\"the diff in sec between 1 : 57 : 58 and 3 : 20 : 47 is 4969 sec , 4969 / 14 = 354 so total 355 times light ll glow answer : e\"" + }, + { + "Answer": 48, + "Options": "a ) 22 , b ) 48 , c ) 60 , d ) 88 , e ) 72", + "Correct": "b", + "Explanation": "\"explanation : let the required no of hours be x . then less men , more hours ( indirect proportion ) \\ inline \\ fn _ jvn \\ therefore 15 : 36 : : 20 : x \\ inline \\ fn _ jvn \\ leftrightarrow ( 15 x x ) = ( 36 x 20 ) \\ inline \\ fn _ jvn \\ leftrightarrow \\ inline \\ fn _ jvn x = \\ frac { 36 \\ times 20 } { 15 } = 48 hence , 15 men can do it in 48 hours . answer : b ) 48\"" + }, + { + "Answer": 5, + "Options": "a ) 2 . , b ) z = 4 . , c ) z = 5 . , d ) 6 . , e ) 8 .", + "Correct": "c", + "Explanation": "\"c . 5 hrs if there were 10 beavers it qould have taken double z = 6 hrs . . so closest to that option is 5 .\"" + }, + { + "Answer": 215, + "Options": "a ) 766 m , b ) 156 m , c ) 215 m , d ) 156 m , e ) 156 m", + "Correct": "c", + "Explanation": "\"speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 160 + x ) / 30 = 25 / 2 = = > 2 ( 160 + x ) = 750 = = > x = 215 m . answer : c\"" + }, + { + "Answer": 225, + "Options": "a ) 189 km , b ) 225 km , c ) 255 km , d ) 199 km , e ) none", + "Correct": "b", + "Explanation": "sol . difference between timings = 45 min = 3 / 4 hr . let the length of journey be x km . then , x / 50 - x / 60 = 1 / 4 \u00e2 \u2021 \u201d 6 x - 5 x = 225 \u00e2 \u2021 \u201d x = 225 km . answer b" + }, + { + "Answer": 60.000000000000014, + "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", + "Correct": "d", + "Explanation": "in 1 hour hole empty = [ 1 / 15 - 1 / 20 ] = 1 / 60 so total time taken to empty the full tank through hole = 60 hour . answer d" + }, + { + "Answer": 7.5, + "Options": "a ) 7.5 , b ) 66 , c ) 77 , d ) 52 , e ) 42", + "Correct": "a", + "Explanation": "\"90 * 5 / 60 = 7.5 kmph answer : a\"" + }, + { + "Answer": 0.5333333333333333, + "Options": "a ) 6 / 15 , b ) 7 / 13 , c ) 8 / 15 , d ) 9 / 17 , e ) 2 / 13", + "Correct": "c", + "Explanation": "amount of work p can do in 1 day = 1 / 15 amount of work q can do in 1 day = 1 / 20 amount of work p and q can do in 1 day = 1 / 15 + 1 / 20 = 7 / 60 amount of work p and q can together do in 4 days = 4 \u00d7 ( 7 / 60 ) = 7 / 15 fraction of work left = 1 \u2013 7 / 15 = 8 / 15 c" + }, + { + "Answer": 36, + "Options": "a ) 18 , b ) 27 , c ) 98 , d ) 27 , e ) 36", + "Correct": "e", + "Explanation": "\"let the pipe b be closed after x minutes . 30 / 12 - x / 24 = 1 = > x / 24 = 30 / 12 - 1 = 3 / 2 = > x = 3 / 2 * 24 = 36 . answer : e\"" + }, + { + "Answer": 100, + "Options": "a ) 100 km , b ) 150 km , c ) 50 km , d ) 120 km , e ) 200 km", + "Correct": "a", + "Explanation": "\"suppose after x km from the start b catches up with a . then , the difference in the time taken by a to cover x km and that taken by b to cover x km is 5 hours . x / 10 - x / 20 = 5 x = 100 km answer is a\"" + }, + { + "Answer": 7.595000000000001, + "Options": "a ) 8.2 km , b ) 6.7 km , c ) 7.6 km , d ) 7.4 km , e ) 6.3 km", + "Correct": "c", + "Explanation": "\"m = 8 s = 1.8 ds = 9.8 us = 6.2 x / 9.8 + x / 6.2 = 1 x = 3.8 d = 2.88 * 2 = 7.6 answer : c\"" + }, + { + "Answer": 54, + "Options": "['a ) 9', 'b ) 61', 'c ) 98', 'd ) 54', 'e ) 64']", + "Correct": "d", + "Explanation": "explanatory answer when a 5 cc cube is sliced into 1 cc cubes , we will get 5 * 5 * 5 = 125 cubes of 1 cubic centimeter . in each side of the larger cube , the smaller cubes on the edges will have more than one of their sides painted . therefore , the cubes which are not on the edge of the larger cube and that lie on the facing sides of the larger cube will have exactly one side painted . in each face of the larger cube , there will be 5 * 5 = 25 cubes . of these , the cubes on the outer rows will be on the edge . 16 such cubes exist on each face . if we count out the two outer rows on either side of a face of the cube , we will be left with 3 * 3 = 9 cubes which are not on the edge in each face of the cube . therefore , there will be 9 cubes of 1 - cc volume per face that will have exactly one of their sides painted . in total , there will be 9 * 6 = 54 such cubes . choice d is the correct answer ." + }, + { + "Answer": 340, + "Options": "a ) 270 m , b ) 340 m , c ) 310 m , d ) 350 m , e ) 327 m", + "Correct": "b", + "Explanation": "relative speed = ( 108 - 36 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in 17 sec = 17 * 20 = 340 m . the length of the faster train = 340 m . answer : b" + }, + { + "Answer": 29.997600191984642, + "Options": "a ) 25 , b ) 30 , c ) 40 , d ) 45 , e ) 55", + "Correct": "b", + "Explanation": "\"solution speed of train relative to man = ( 63 - 3 ) km / hr = 60 km / hr = ( 60 x 5 / 18 ) m / sec = 50 / 3 m / sec time taken to pass the man = ( 500 x 3 / 50 ) sec = 30 sec answer b\"" + }, + { + "Answer": 20, + "Options": "a ) 20 , b ) 8 , c ) 12 , d ) 14 , e ) 16", + "Correct": "a", + "Explanation": "\"26 trees have 25 gaps between them . length of each gap = 500 / 25 = 20 i . e . , distance between two consecutive trees = 20 answer is a .\"" + }, + { + "Answer": 27, + "Options": "a ) 23 , b ) 22 , c ) 27 , d ) 36 , e ) 48", + "Correct": "c", + "Explanation": "\"c 27 wc = 1 : 2 2 x + x = 1 / 18 = > x = 1 / 54 2 x = 1 / 27 = > 27 days\"" + }, + { + "Answer": 24, + "Options": "a ) 24 , b ) 28 , c ) 20 , d ) 32 , e ) 40", + "Correct": "a", + "Explanation": "\"1 . no . of coaches = 4 sqr root = 2 speed decreases by 12 12 = k * 2 k = 6 no . of coaches = 36 swr root = 6 decrease = 6 * 6 = 36 new speed = 60 - 36 = 24 a\"" + }, + { + "Answer": 45, + "Options": "a ) 225 , b ) 90 , c ) 45 , d ) 37.5 , e ) 27", + "Correct": "c", + "Explanation": "total length will be 330 + 66 = 396 time = 6 secs speed = 396 / 6 = 66 feet / sec conversion to miles per hour = 66 * 3600 / 5280 = 45 . answer c" + }, + { + "Answer": 16500, + "Options": "a ) rs . 15000 , b ) rs . 15550 , c ) rs . 15600 , d ) rs . 16500 , e ) none of these", + "Correct": "d", + "Explanation": "\"solution area of the floor = ( 5.5 \u00d7 3.75 ) m 2 = 20.625 m 2 \u2234 cost of paving = rs . ( 800 \u00d7 20.625 ) = 16500 . answer d\"" + }, + { + "Answer": 13.700000000000001, + "Options": "a ) 5.2 , b ) 7.4 , c ) 13.7 , d ) 21.2 , e ) 28.7", + "Correct": "c", + "Explanation": "\"28 miles represented by 1 inch 1 mile represented by ( 1 / 28 ) inch 383.6 miles represented by ( 1 / 28 ) * 383.6 approximately = 14 we should use estimation here as the answer options are not close . ( 28 * 10 = 280 and 28 * 20 = 560 , hence we select the only option between 10 and 20 ) answer c\"" + }, + { + "Answer": 8, + "Options": "a ) 8 , b ) 16 , c ) 21 , d ) 22 , e ) 27", + "Correct": "a", + "Explanation": "i treat such problems as work ones . work = rate * time mileage ( m ) = rate ( mpg ) * gallons ( g ) x gallons is a full tank { 462 = rx { 336 = ( r - 3 ) x solve for r , r = 11 11 - 3 = 8 mpg a" + }, + { + "Answer": 0.8333333333333334, + "Options": "a ) 3 / 25 , b ) 11 / 36 , c ) 7 / 12 , d ) 2 / 3 , e ) 5 / 6", + "Correct": "e", + "Explanation": "\"gas used = ( 5 hours ) * ( 60 miles / hour ) * ( 1 gallon / 30 miles ) = 10 gallons portion used = ( 10 ) / 12 = 5 / 6 ans e\"" + }, + { + "Answer": 224.40944881889763, + "Options": "a ) 226 , b ) 228 , c ) 230 , d ) 224 , e ) 232", + "Correct": "d", + "Explanation": "\"1 inch = 2.54 cm 2 inch = 2.54 * 2 cm 5.08 cm = 30 miles 38 cms = 30 / 5.08 * 38 = 224 miles answer : d\"" + }, + { + "Answer": 8, + "Options": "a ) 8 , b ) 16 , c ) 42 , d ) 48 , e ) 54", + "Correct": "a", + "Explanation": "\"speed is inversly proprtional to time walking at 25 % of speed meand 1 / 4 s takes 4 t . it takes 24 minutes extra to cover the distance . then 4 t = t + 24 3 t = 24 t = 8 . option a is correct\"" + }, + { + "Answer": 390, + "Options": "a ) 140 , b ) 321 , c ) 390 , d ) 500 , e ) 130", + "Correct": "c", + "Explanation": "some students may initially answer 130 to this question , especially if answering similar problems . however , that would be incorrect , as this is not a straight - forward ratio of 1 : 3 : 10 . the ratio of supervisors to team leads is 1 : 3 , and the ratio of team leads to workers is 1 : 10 . therefore , the ratio of supervisors to workers is 1 : 30 . therefore , 13 * 30 = 390 answer : c )" + }, + { + "Answer": 54, + "Options": "a ) 77 kmph , b ) 55 kmph , c ) 54 kmph , d ) 58 kmph , e ) 76 kmph", + "Correct": "c", + "Explanation": "\"s = 240 / 16 * 18 / 5 = 54 kmph answer : c\"" + }, + { + "Answer": 300.0000000000001, + "Options": "a ) s . 300 , b ) s . 600 , c ) s . 420 , d ) s . 400 , e ) s . 480", + "Correct": "a", + "Explanation": "\"explanation : amount of work a can do in 1 day = 1 / 6 amount of work b can do in 1 day = 1 / 8 amount of work a + b can do in 1 day = 1 / 6 + 1 / 8 = 7 / 24 amount of work a + b + c can do = 1 / 3 amount of work c can do in 1 day = 1 / 3 - 7 / 24 = 1 / 24 work a can do in 1 day : work b can do in 1 day : work c can do in 1 day = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 amount to be paid to c = 2400 \u00d7 ( 1 / 8 ) = 300 answer : option a\"" + }, + { + "Answer": 10, + "Options": "a ) 3 , b ) 4 , c ) 10 , d ) 12 , e ) 36", + "Correct": "c", + "Explanation": "in 2 minutes 2 typists type 2 pages which means that in 5 minutes they will type 5 pages but to type 25 pages ( 5 times ) we need 5 times more typists i . e . 2 x 5 = 10 typists . c" + }, + { + "Answer": 350, + "Options": "a ) 350 m , b ) 145 m , c ) 240 m , d ) 135 m , e ) 255 m", + "Correct": "a", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 15 = 350 meter answer : a\"" + }, + { + "Answer": 2170, + "Options": "a ) 1375 toys , b ) 2170 toys , c ) 2375 toys , d ) 2175 toys , e ) 5375 toys", + "Correct": "b", + "Explanation": "\"to find the number of toys produced every day , we divide the total number of toys produced in one week ( of 2 days ) by 2 . 4340 / 2 = 2170 toys correct answer b\"" + }, + { + "Answer": 13.700000000000001, + "Options": "a ) 5.2 , b ) 7.4 , c ) 13.7 , d ) 21.2 , e ) 28.7", + "Correct": "c", + "Explanation": "\"z inches necessary to represent a distance of 383.6 miles = 383.6 / 28 = 13.7 answer c\"" + }, + { + "Answer": 15.555555555555557, + "Options": "a ) a ) 13.55 , b ) b ) 14.55 , c ) c ) 15.55 , d ) d ) 16.55 , e ) e ) 17.55", + "Correct": "c", + "Explanation": "\"explanation : t = 14 / 54 * 60 = 15.55 answer : option c\"" + }, + { + "Answer": 21, + "Options": "a ) 5 , b ) 21 , c ) 7 , d ) 8 , e ) 9", + "Correct": "b", + "Explanation": "\"speed of train relative to man = ( 60 + 6 ) km / hr = 66 km / hr [ 66 * 5 / 18 ] m / sec = [ 55 / 3 ] m / sec . time taken to pass the man = [ 385 * 3 / 55 ] sec = 21 sec answer : option b\"" + }, + { + "Answer": 20, + "Options": "a ) 10 days , b ) 30 days , c ) 20 days , d ) 80 days , e ) 40 days", + "Correct": "c", + "Explanation": "c 20 days given that 12 m = 20 w = > 3 m = 5 w 9 men + 39 women = 15 women + 39 women = 54 women 20 women can do the work in 54 days . so , 54 women can do it in ( 20 * 54 ) / 54 = 20 days ." + }, + { + "Answer": 70, + "Options": "a ) 50 kmh , b ) 55 kmh , c ) 60 kmh , d ) 65 kmh , e ) 70 kmh", + "Correct": "e", + "Explanation": "\"time = distance / speed difference in time = 1 / 2 hrs 105 / x - 105 / ( x + 35 ) = 1 / 2 substitute the value of x from the options . - - > x = 70 - - > 105 / 70 - 105 / 105 = 3 / 2 - 1 = 1 / 2 answer : e\"" + }, + { + "Answer": 83, + "Options": "a ) 80 m 2 , b ) 50 m 2 , c ) 83 m 2 , d ) 86 m 2 , e ) 55 m 2", + "Correct": "c", + "Explanation": "area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 6 x 1.25 + 8 x 1.25 ) + 8 x 6 ] m 2 = 83 m 2 . answer : c" + }, + { + "Answer": 75, + "Options": "a ) 75 m , b ) 180 m , c ) 324 m , d ) can not be determined , e ) none of these", + "Correct": "a", + "Explanation": "\"speed = 30 * 5 / 18 = 25 / 3 m / sec length of the train = speed * time = 25 / 3 * 9 = 75 m answer : a\"" + }, + { + "Answer": 12, + "Options": "a ) 8 sec , b ) 10 sec , c ) 12 sec , d ) 14 sec , e ) 16 sec", + "Correct": "c", + "Explanation": "explanation : relative speed of the trains = ( 42 + 48 ) kmph = 90 kmph = ( 90 \u00d7 5 / 18 ) m / sec = 25 m / sec . time taken by the trains to \u2018 pass each other = time taken to cover ( 137 + 163 ) m at 25 m / sec = ( 300 / 25 ) sec = 12 sec answer : option c" + }, + { + "Answer": 62.395008399328056, + "Options": "a ) 12.4 sec , b ) 24.3 sec , c ) 62.4 sec , d ) 60.1 sec , e ) none", + "Correct": "c", + "Explanation": "\"sol . relative speed = ( 45 + 30 ) km / hr = ( 75 x 5 / 18 ) m / sec = ( 125 / 6 ) m / sec . distance covered = ( 650 + 650 ) m = 1300 m . required time = ( 1300 x 6 / 125 ) sec = 62.4 sec . answer c\"" + }, + { + "Answer": 1800, + "Options": "a ) 1752 , b ) 1799 , c ) 1719 , d ) 1750 , e ) 1800", + "Correct": "e", + "Explanation": "\"speed = [ 216 * 5 / 18 ] m / sec = 60 m / sec ; time = 1 min . = 60 sec . let the length of the train and that of the platform be x meters . then , 2 x / 60 = 60 \u00e3 \u00a8 x = 60 * 60 / 2 = 1800 answer : e\"" + }, + { + "Answer": 150, + "Options": "a ) 1 \u2044 3 , b ) 150 , c ) 80 , d ) 120 , e ) 180", + "Correct": "b", + "Explanation": "1 item takes 4 / 5 min so it takes 120 min to produce x 4 x / 5 = 120 the x = 150 answer : b" + }, + { + "Answer": 0.022222222222222223, + "Options": "a ) 1 / 45 , b ) 1 / 35 , c ) 1 / 25 , d ) 1 / 15 , e ) 1 / 10", + "Correct": "a", + "Explanation": "\"probability that john and david will both be chosen out of 8 workers = ( 2 / 10 ) * ( 1 / 9 ) = 1 / 45 answer a\"" + }, + { + "Answer": 35, + "Options": "a ) 31 , b ) 32 , c ) 33 , d ) 34 , e ) 35", + "Correct": "e", + "Explanation": "\"let t be the number of hours that bob had walked when he met yolanda . then , when they met , bob had walked 4 t miles and yolanda had walked 5 ( t + 1 ) miles . these distances must sum to 65 miles , so 7 t + 5 ( t + 1 ) = 65 , which may be solved for t as follows 7 t + 5 ( t + 1 ) = 65 7 t + 5 t + 5 = 65 12 t = 60 t = 5 ( hours ) therefore , bob had walked 7 t = 7 ( 5 ) = 35 miles when they met . the best answer is e .\"" + }, + { + "Answer": 0.4166666666666667, + "Options": "a ) 3 / 25 , b ) 5 / 12 , c ) 7 / 12 , d ) 2 / 3 , e ) 25 / 36", + "Correct": "b", + "Explanation": "\"gas used = ( 5 hours ) * ( 40 miles / hour ) * ( 1 gallon / 40 miles ) = 5 gallons portion used = ( 5 ) / 12 = 5 / 12 ans b\"" + }, + { + "Answer": 15, + "Options": "a ) 30 days , b ) 25 days , c ) 20 days , d ) 10 days , e ) 15 days", + "Correct": "e", + "Explanation": "\"10 days work of a = 10 / 20 = 1 / 2 remaining work = 1 - 1 / 2 = 1 / 2 b can finish 1 / 2 work = 30 * 1 / 2 = 15 days answer is e\"" + }, + { + "Answer": 26.64, + "Options": "a ) 21.64 seconds , b ) 22.64 seconds , c ) 23.64 seconds , d ) 26.64 seconds , e ) 35.64 seconds", + "Correct": "d", + "Explanation": "\"speed = 35 km / hr = 50 * ( 5 / 18 ) m / sec = 13.89 m / sec total distance = 240 + 130 = 370 meter time = distance / speed = 370 * ( 1 / 13.89 ) = 26.64 seconds answer : d\"" + }, + { + "Answer": 85.55555555555556, + "Options": "a ) 69 miles , b ) 85.5 miles , c ) 96 miles , d ) 100 miles , e ) 112 miles", + "Correct": "b", + "Explanation": "\"upstream speed = 18 - 4 = 14 mph downstream speed = 18 + 4 = 22 mph d / 14 + d / 22 = 10 hours solving for d we get d = 85.5 answer : b\"" + }, + { + "Answer": 228, + "Options": "a ) 335 cm 2 , b ) 228 cm 2 , c ) 285 cm 2 , d ) 825 cm 2 , e ) 725 cm 2", + "Correct": "b", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 12 ) = 228 cm 2 answer : b\"" + }, + { + "Answer": 120, + "Options": "a ) 18 , b ) 120 , c ) 175 , d ) 216 , e ) 250", + "Correct": "b", + "Explanation": "\"total paint initially = 360 gallons paint used in the first week = ( 1 / 6 ) * 360 = 60 gallons . remaning paint = 300 gallons paint used in the second week = ( 1 / 5 ) * 300 = 60 gallons total paint used = 120 gallons . option b\"" + }, + { + "Answer": 6, + "Options": "a ) 1.8 m , b ) 6 m , c ) 7 m , d ) 9 m , e ) 12 m", + "Correct": "b", + "Explanation": "the reason it is failing for you is that you chose incorrect numbers . if the question says e it took 7 hrs to reach from a to b and 5 hrs to reach from b to c at a constant speed . it shows that distance ab and bc should be in ratio of 7 / 5 . if you take such numbers you can solve problem . ab = 7 , bc = 5 therefore ab - bc = 2 but from question , ab - bc = m = > m = 2 now total distance = ab + bc = 12 substitute 12 to get answer in terms of m total distance = 12 = 6 m ans b" + }, + { + "Answer": 84, + "Options": "a ) 68 days , b ) 84 days , c ) 90 days , d ) 72 days , e ) 50 days", + "Correct": "b", + "Explanation": "required answer = 28 * 21 / 28 - 21 = 84 days answer is b" + }, + { + "Answer": 13.846153846153847, + "Options": "a ) 180 / 15 , b ) 180 / 10 , c ) 180 / 13 , d ) 180 / 15 , e ) 180 / 11", + "Correct": "c", + "Explanation": "\"one day work of a and b = 1 / 12 one day work of b and c = 1 / 30 one day work of c and a = 1 / 36 2 ( a + b + c ) = 1 / 12 + 1 / 30 + 1 / 36 2 ( a + b + c ) = 13 / 90 ( a + b + c ) = 13 / 180 number of days required = 180 / 13 days . answer : c\"" + }, + { + "Answer": 16.000000000000004, + "Options": "a ) 15 days , b ) 12 days , c ) 8 days , d ) 16 days , e ) 9 days", + "Correct": "d", + "Explanation": "sol . ( a + b ) ' s 1 day ' s work = ( 1 / 18 ) ( b + c ) ' s 1 day ' s work = ( 1 / 24 ) and ( a + c ) ' s 1 day ' s work = ( 1 / 36 ) adding , we get : 2 ( a + b + c ) ' s 1 day ' s work = \u00ac ( 1 / 18 + 1 / 24 + 1 / 36 ) = 9 / 72 = 1 / 8 ( a + b + c ) ' s 1 day ' s work = 1 / 16 thus , a , band c together can finish the work in 16 days . ans : d" + }, + { + "Answer": 10.799136069114471, + "Options": "a ) 9 , b ) 9.6 , c ) 10 , d ) 10.8 , e ) 7", + "Correct": "d", + "Explanation": "\"explanation : relative speed = ( 60 + 40 ) km / hr = [ 100 x ( 5 / 18 ) ] m / sec = ( 250 / 9 ) m / sec . distance covered in crossing each other = ( 140 + 160 ) m = 300 m . required time = [ 300 x ( 9 / 250 ) ] sec = ( 54 / 5 ) sec = 10.8 sec . answer : d\"" + }, + { + "Answer": 270.0416, + "Options": "a ) 230 m , b ) 240 m , c ) 260 m , d ) 270 m , e ) 250 m", + "Correct": "d", + "Explanation": "\"s = 250 + x / t 72 * 5 / 18 = 250 + x / 26 x = 270 answer : d\"" + }, + { + "Answer": 14.7, + "Options": "a ) 14.7 , b ) 2.9 , c ) 38.3 , d ) 78.3 , e ) 79.3", + "Correct": "a", + "Explanation": "\"explanation : let the initial quantity of milk in vessel be t litres . let us say y litres of the mixture is taken out and replaced by water for n times , alternatively . quantity of milk finally in the vessel is then given by [ ( t - y ) / t ] ^ n * t for the given problem , t = 30 , y = 9 and n = 2 . hence , quantity of milk finally in the vessel = [ ( 30 - 9 ) / 30 ] ^ 2 ( 30 ) = 14.7 litres . answer : option a\"" + }, + { + "Answer": 8, + "Options": "a ) 17 cm , b ) 10 cm , c ) 8 cm , d ) 6 cm , e ) 7 cm", + "Correct": "c", + "Explanation": "\"number of cubes = 100 \u00e2 \u02c6 \u2014 100 \u00e2 \u02c6 \u2014 100 / 50 * 50 * 50 = 8 number of cubes = 100 \u00e2 \u02c6 \u2014 100 \u00e2 \u02c6 \u2014 10010 \u00e2 \u02c6 \u2014 10 \u00e2 \u02c6 \u2014 10 = 1000 note : 1 m = 100 cm answer : c\"" + }, + { + "Answer": 999.9999999999998, + "Options": "a ) 10 , b ) 100 , c ) 1000 , d ) 10000 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : number of cubes = ( 100 x 100 x 100 ) / ( 10 x 10 x 10 ) = 1000 answer : c\"" + }, + { + "Answer": 108, + "Options": "a ) 40 , b ) 45 , c ) 108 , d ) 55 , e ) 60", + "Correct": "c", + "Explanation": "\"a - b = 120 miles b - c = 60 miles avg speed = 25 miles time taken for a - b 3 t and b - c be t avg speed = ( 120 + 60 ) / total time 25 = 180 / 4 t t = 108 b - c = 108 mph answer c\"" + }, + { + "Answer": 105, + "Options": "a ) 40 , b ) 60 , c ) 120 , d ) 80 , e ) 105", + "Correct": "e", + "Explanation": "\"if two objects a and b start simultaneously from opposite points and , after meeting , reach their destinations in \u2018 a \u2019 and \u2018 b \u2019 hours respectively ( i . e . a takes \u2018 a hrs \u2019 to travel from the meeting point to his destination and b takes \u2018 b hrs \u2019 to travel from the meeting point to his destination ) , then the ratio of their speeds is given by : sa / sb = \u221a ( b / a ) i . e . ratio of speeds is given by the square root of the inverse ratio of time taken . sa / sb = \u221a ( 4 / 9 ) = 2 / 3 this gives us that the ratio of the speed of a : speed of b as 2 : 3 . since speed of a is 80 kmph , speed of b must be 70 * ( 3 / 2 ) = 105 kmph e\"" + }, + { + "Answer": 55.55555555555554, + "Options": "a ) 10.55 meters , b ) 11.55 meters , c ) 33.55 meters , d ) 55.55 meters , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : a runs 1000 meters while b runs 900 meters and c runs 850 meters . therefore , b runs 900 meters while c runs 850 meters . so , the number of meters that c runs when b runs 1000 meters = ( 1000 x 850 ) / 900 = 944.44 meters thus , b can give c ( 1000 - 944.44 ) = 55.55 meters start answer : d\"" + }, + { + "Answer": 24, + "Options": "a ) 13 , b ) 24 , c ) 18 , d ) 19 , e ) 12", + "Correct": "b", + "Explanation": "\"let the leak can empty the full tank in x hours 1 / 6 - 1 / x = 1 / 8 = > 1 / x = 1 / 6 - 1 / 8 = ( 4 - 3 ) / 24 = 1 / 24 = > x = 24 . answer : b\"" + }, + { + "Answer": 40, + "Options": "a ) 30 km , b ) 60 km , c ) 80 km , d ) 20 km , e ) 40 km", + "Correct": "e", + "Explanation": "e 40 km let distance = x m usual rate = y kmph x / y \u2013 x / y + 3 = 40 / 60 hr 2 y ( y + 3 ) = 9 x - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - ( 1 ) x / y - 2 \u2013 x / y = 40 / 60 hr y ( y - 2 ) = 3 x - - - - - - - - - - - ( 2 ) divide 1 & 2 equations by solving we get x = 40 km" + }, + { + "Answer": 15, + "Options": "a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 19", + "Correct": "c", + "Explanation": "\"the work done by p in 1 day = 1 / 25 let work done by q in 1 day = q q \u00d7 ( 150 / 100 ) = 1 / 25 q = 100 / ( 25 \u00d7 150 ) = 10 / ( 25 \u00d7 15 ) the work done by p and q in 1 day = 1 / 25 + 10 / ( 25 \u00d7 15 ) = 25 / ( 25 \u00d7 15 ) = 1 / 15 p and q together can do the work in 15 days . the answer is c .\"" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 65 , b ) 85 , c ) 48 , d ) 12 , e ) 25", + "Correct": "d", + "Explanation": "explanation : work done by a in 1 hour = 1 / 4 work done by b and c in 1 hour = 1 / 3 work done by a and c in 1 hour = 1 / 2 work done by a , b and c in 1 hour = 1 / 4 + 1 / 3 = 7 / 12 work done by b in 1 hour = 7 / 12 \u2013 1 / 2 = 1 / 12 = > b alone can complete the work in 12 hours answer : d" + }, + { + "Answer": 732.6, + "Options": "a ) 399 , b ) 272 , c ) 732.6 , d ) 277 , e ) 311", + "Correct": "c", + "Explanation": "\"answer : option c explanation : a 2 = 3136 = > a = 56 56 * 4 * 3 = 672 \u00e2 \u20ac \u201c 6 = 666 * 1.1 = 732.6 answer : c\"" + }, + { + "Answer": 3200, + "Options": "a ) 6400 , b ) 2400 , c ) 5500 , d ) 7400 , e ) 3200", + "Correct": "e", + "Explanation": "\"number of bricks = volume of the wall / volume of 1 brick = ( 800 x 600 x 22.5 ) / ( 50 x 11.25 x 6 ) = 3200 answer : e\"" + }, + { + "Answer": 90, + "Options": "a ) 15 , b ) 60 , c ) 75 , d ) 90 , e ) 105", + "Correct": "d", + "Explanation": "\"this type of questions should be solved without any complex calculations as these questions become imperative in gaining that extra 30 - 40 seconds for a difficult one . teena covers 55 miles in 60 mins . yoe covers 40 miles in 60 mins so teena gains 15 miles every 60 mins teena need to cover 7.5 + 15 miles . teena can cover 7.5 miles in 30 mins teena will cover 15 miles in 60 mins so answer 30 + 60 = 90 mins . d\"" + }, + { + "Answer": 48, + "Options": "a ) a ) 45 , b ) b ) 33 , c ) c ) 48 , d ) d ) 55 , e ) e ) 61", + "Correct": "c", + "Explanation": "let y be the balance distance to be covered and x be the former speed . a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late so , y / ( 3 x / 4 ) - y / x = 35 / 60 4 y / 3 x - y / x = 7 / 12 y / x ( 4 / 3 - 1 ) = 7 / 12 y / x * 1 / 3 = 7 / 12 y / x = 7 / 4 4 y - 7 x = 0 . . . . . . . . 1 had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late so , ( y - 24 ) / ( 3 x / 4 ) - ( y - 24 ) / x = 25 / 60 4 ( y - 24 ) / 3 x - ( y - 24 ) / x = 5 / 12 ( y - 24 ) / x ( 4 / 3 - 1 ) = 5 / 12 ( y - 24 ) / x * 1 / 3 = 5 / 12 ( y - 24 ) * 12 = 3 x * 5 ( y - 24 ) * 4 = 5 x 4 y - 5 x = 96 . . . . . . . 2 eq 2 - eq 1 2 x = 96 x = 48 = q ans = c" + }, + { + "Answer": 900, + "Options": "a ) 900 km , b ) 540 km , c ) 720 km , d ) 820 km , e ) 920 km", + "Correct": "a", + "Explanation": "let speed of a be - - - - - - - sa let speed of b be - - - - - - - - sb let the distance covered by b while going to position xy be - - - - - - - - - - - x so distance covered by a in same time while going to xy is - - - - - - - - - - 180 + x ( it ' s given in the question ) so total distance b / w x and y is = x + ( x + 180 ) while going to position xy : - time taken by a = time taken by b ( x + 180 ) / sa = x / sb sa / sb = ( x + 180 ) / x - - - - - - - - - - - - - - - - - - - - - 1 after lunch : - a . c . t ( according to question ) sa = x / 2 sb = ( x + 180 ) / 4.5 dividing sa / sb = ( x * 4.5 ) / ( ( x + 180 ) * 2 ) - - - - - - - - - - - - - - - - - - - - 2 equating equations 1 and 2 9 / 4 = ( x + 180 ) ^ 2 / x ^ 2 now taking square root on both sides we get 3 / 2 = ( x + 180 ) / x x = 360 therefore distance between x and y = x + ( x + 180 ) = 900 km answer : a" + }, + { + "Answer": 23.998080153587715, + "Options": "a ) 15 seconds , b ) 24 seconds , c ) 28 seconds , d ) 30 seconds , e ) 35 seconds", + "Correct": "b", + "Explanation": "\"distance travelled = 140 + 260 m = 400 m speed = 60 * 5 / 8 = 50 / 3 m time = 400 * 3 / 50 = 24 second answer : b\"" + }, + { + "Answer": 12000, + "Options": "a ) 9000 cubic meters , b ) 10500 cubic meters , c ) 11750 cubic meters , d ) 12000 cubic meters , e ) 12500 cubic meters", + "Correct": "d", + "Explanation": "\"d . 12000 cubic meters . if both hte valves fill the pool in 48 minutes and valve 1 only fills in 120 minutes then valve 2 alone will fill the pool in ( 48 * 120 ) / ( 120 - 48 ) = 80 minutes . now , if valve 1 admits x cubic meter of water per minute then the capacity of pool will be 120 x and also 80 ( x + 50 ) . or , 120 x = 80 ( x + 50 ) . or x = 100 . hence , the capacity of pool = 120 x = 12000 cubic meters .\"" + }, + { + "Answer": 210.03999999999996, + "Options": "a ) 210 m , b ) 220 m , c ) 230 m , d ) 240 m , e ) 250 m", + "Correct": "a", + "Explanation": "\"relative speeds = ( 120 + 80 ) km / hr = 200 km / hr = ( 200 * 5 / 18 ) m / s = ( 500 / 9 ) m / s let length of train be xm x + 290 / 9 = 500 / 9 x = 210 ans is 210 m answer : a\"" + }, + { + "Answer": 16, + "Options": "['a ) 22 metres', 'b ) 18 metres', 'c ) 16 metres', 'd ) 24 metres', 'e ) none of these']", + "Correct": "c", + "Explanation": "let the length and breadth of the original rectangular field be x m and y m respectively . area of the original field = x \u00d7 y = 144 m 2 \u2234 x = 144 \u2044 y . . . . . ( i ) if the length had been 6 m more , then area will be ( x + 6 ) y = 144 + 54 \u21d2 ( x + 6 ) y = 198 \u2026 ( ii ) putting the value of x from eq ( i ) in eq ( ii ) , we get ( 144 \u2044 y + 6 ) y = 198 \u21d2 144 + 6 y = 198 \u21d2 6 y = 54 \u21d2 y = 9 m putting the value of y in eq ( i ) we get x = 16 m answer c" + }, + { + "Answer": 30, + "Options": "a ) s . 30 , b ) s . 70 , c ) s . 90 , d ) s . 100 , e ) s . 120", + "Correct": "a", + "Explanation": "\"explanation : amount earned by p , q and r in 1 day = 1980 / 9 = 220 - - - ( 1 ) amount earned by p and r in 1 day = 600 / 5 = 120 - - - ( 2 ) amount earned by q and r in 1 day = 910 / 7 = 130 - - - ( 3 ) ( 2 ) + ( 3 ) - ( 1 ) = > amount earned by p , q and 2 r in 1 day - amount earned by p , q and r in 1 day = 120 + 130 - 220 = 30 = > amount earned by r in 1 day = 30 answer : option a\"" + }, + { + "Answer": 373.3333333333333, + "Options": "a ) 700 m , b ) 500 m , c ) 373 m , d ) 356 m , e ) 640 m", + "Correct": "c", + "Explanation": "\"distance covered by amar = 12 / 45 ( 1.4 km ) = 4 / 15 ( 1400 ) = 373 m answer : c\"" + }, + { + "Answer": 12, + "Options": "a ) 13 : 00 , b ) 13 : 30 , c ) 14 : 00 , d ) 15 : 00 , e ) 12 : 00", + "Correct": "e", + "Explanation": "\"both sari and ken climb in the same direction . speed of sari = 700 / 2 = 350 meters / hr ( since she covers 700 meters in 2 hrs ) speed of ken = 500 meters / hr at 8 : 00 , distance between ken and sari is 700 meters . ken needs to cover this and another 50 meters . time he will take = total distance to be covered / relative speed = ( 700 + 50 ) / ( 500 - 350 ) = 5 hrs starting from 7 : 00 , in 5 hrs , the time will be 12 : 00 answer ( e )\"" + }, + { + "Answer": 9, + "Options": "a ) 7 days , b ) 8 days , c ) 9 days , d ) 10 days , e ) 11 days", + "Correct": "c", + "Explanation": "\"( a + b ) ' s 1 day ' s work = 1 / 11 + 1 / 45 = 56 / 495 ( a + c ) ' s 1 day ' s work = 1 / 11 + 1 / 55 = 6 / 55 work done in 2 day ' s = 56 / 495 + 6 / 55 = 2 / 9 2 / 9 th work done in 2 days work done = 9 / 2 * 2 = 9 days answer : c\"" + }, + { + "Answer": 8, + "Options": "a ) 4 , b ) 5 , c ) 8 , d ) 12 , e ) none of these", + "Correct": "c", + "Explanation": "the part of job that suresh completes in 9 hours = 9 \u00e2 \u0081 \u201e 15 = 3 \u00e2 \u0081 \u201e 5 remaining job = 1 - 3 \u00e2 \u0081 \u201e 5 = 2 \u00e2 \u0081 \u201e 5 remaining job can be done by ashutosh in 2 \u00e2 \u0081 \u201e 5 \u00e3 \u2014 20 = 8 hours answer c" + }, + { + "Answer": 3, + "Options": "a ) 2 km , b ) 3 km , c ) 4 km , d ) 5 km , e ) 6 km", + "Correct": "b", + "Explanation": "\"let the distance be x t 1 = x / 6 hr t 2 = x / 12 hr difference in time = 7 + 8 = 15 = 1 / 4 hr x / 6 - x / 12 = 1 / 4 x / 12 = 1 / 4 x = 3 km answer is b\"" + }, + { + "Answer": 56.02253996834716, + "Options": "a ) 56 m , b ) 88 m , c ) 120 m , d ) 137 m , e ) none", + "Correct": "a", + "Explanation": "\"sol . let the length of the wire b h . radius = 1 / 2 mm = 1 / 20 cm . then , 22 / 7 * 1 / 20 * 1 / 20 * h = 44 \u21d4 = [ 44 * 20 * 20 * 7 / 22 ] = 5600 cm = 56 m . answer a\"" + }, + { + "Answer": 3, + "Options": "a ) 3 hours , b ) 4 hours , c ) 5 hours , d ) 6 hours , e ) 7 hours", + "Correct": "a", + "Explanation": "\"explanation : speed of the boat in still water = 24 km / hr speed of the stream = 4 km / hr speed downstream = ( 22 + 5 ) = 28 km / hr distance travelled downstream = 84 km time taken = distance / speed = 84 / 28 = 3 hours answer : option a\"" + }, + { + "Answer": 12.857142857142858, + "Options": "a ) 20 sec , b ) 17.23 sec , c ) 12.86 sec , d ) 9.5 sec , e ) 8.5 sec", + "Correct": "c", + "Explanation": "explanation : length of train = 250 m , speed of train = 70 km / hr length of train is always considered as distance , and hence here distance = 250 m 1 ) first convert speed of km / hr into m / s speed of train = 70 x 5 = 19.44 m / s 18 2 ) we know that , speed = distance / time time taken to cross stationary object = 250 / 19.44 time taken to cross stationary object = 12.86 sec answer is c" + }, + { + "Answer": 54, + "Options": "a ) 42 minutes , b ) 14 minutes , c ) 54 minutes , d ) 40 minutes 20 seconds , e ) none of these", + "Correct": "c", + "Explanation": "\"in one cycle they fill 40 + 30 - 20 = 50 liters 900 = 50 * n = > n = 18 here n = number of cycles . total time = 18 * 3 = 54 as in one cycle there are 3 minutes . thus 54 minutes answer : c\"" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "a", + "Explanation": "\"let rate of one worker be r = > ( 6 * r ) * 8 = 1 ( rate * time = work ) = > r = 1 / 48 = > work remaining after 3 days 1 - ( 3 * 6 ) / 48 = 30 / 48 after 4 ppl joined in ( ( 6 + 4 ) * time ) / 48 = 30 / 48 time z = 3 days to finish the task imo a\"" + }, + { + "Answer": 30, + "Options": "a ) 25 days , b ) 30 days , c ) 20 days , d ) 15 days , e ) 10 days", + "Correct": "b", + "Explanation": "a + b + c 1 day work = 1 / 40 a + b 1 day work = 1 / 20 b + c 1 day work = 1 / 30 a + c 1 day work = 2 * 1 / 40 - 1 / 20 + 1 / 30 = 1 / 30 a and c together will do the work in 30 days . answer is b" + }, + { + "Answer": 1.5000000000000013, + "Options": "a ) 1 , b ) 1.5 , c ) 2 , d ) 2.5 , e ) 3", + "Correct": "b", + "Explanation": "\"let x be the total time it takes for the cistern to fill . 6 / 12 + x / 15 = 1 x / 15 = 1 / 2 x = 7.5 after the first pipe is turned off , it takes 1.5 more minutes to fill the cistern . the answer is b .\"" + }, + { + "Answer": 295, + "Options": "a ) 215 , b ) 235 , c ) 255 , d ) 275 , e ) 295", + "Correct": "e", + "Explanation": "\"45 km / h = 45000 m / 3600 s = 12.5 m / s in 30 seconds , the train can go 30 ( 12.5 ) = 375 meters let x be the length of the bridge . x + 80 = 375 meters x = 295 meters the answer is e .\"" + }, + { + "Answer": 18, + "Options": "a ) 21 , b ) 26 , c ) 30 , d ) 18 , e ) 16", + "Correct": "d", + "Explanation": "\"a - - - - - b - - - - c - - - - - - - - d - - - - e given : de = 4 - ( i ) ab = 5 - ( ii ) ac = 11 - ( iii ) bc = 2 cd - ( iv ) from ( ii ) and ( iii ) , bc = 6 from ( iv ) , cd = 3 length of ae = ac + cd + de = 11 + 3 + 4 = 18 correct option : d\"" + }, + { + "Answer": 1400, + "Options": "a ) 229 , b ) 288 , c ) 600 , d ) 888 , e ) 1400", + "Correct": "e", + "Explanation": "\"d = 35 * 5 = 175 rs = 40 \u2013 35 = 5 t = 175 / 5 = 35 d = 40 * 35 = 1400 km answer : e\"" + }, + { + "Answer": 4, + "Options": "a ) 16 , b ) 4 , c ) 15 , d ) 18 , e ) 12", + "Correct": "b", + "Explanation": "\"t = 3 / 45 * 60 = 4 answer : b\"" + }, + { + "Answer": 2.6666666666666665, + "Options": "a ) 2.21 , b ) 2.45 , c ) 2.67 , d ) 2.83 , e ) 2.95", + "Correct": "c", + "Explanation": "\"let x be the distance to big rock . time = x / 4 + x / 8 = 1 x = 32 / 12 = 2.67 km the answer is c .\"" + }, + { + "Answer": 59.995200383969284, + "Options": "a ) 60 sec , b ) 82 sec , c ) 95 sec , d ) 100 sec , e ) 120 sec", + "Correct": "a", + "Explanation": "hint : time = distance / speed we see that the distance is given in metres while the speed is given in km / hr and the answer is asked in seconds . so , convert km / hr into m / s by multiplying 5 / 18 m / s to the given value of speed . 30 km / hr = 30 x 5 / 18 = 75 / 9 m / sec i . e . place these values in the formula : time = 500 x 9 / 75 = 60 sec answer is a" + }, + { + "Answer": 42, + "Options": "a ) 87 , b ) 18 , c ) 42 , d ) 16 , e ) 10", + "Correct": "c", + "Explanation": "\"binders books days 35 1400 21 x 1600 20 x / 35 = ( 1600 / 1400 ) * ( 21 / 20 ) = > x = 42 answer : c\"" + }, + { + "Answer": 4, + "Options": "a ) 4 days , b ) 6 days , c ) 8 days , d ) 18 days , e ) 28 days", + "Correct": "a", + "Explanation": "\"explanation : ratio of rates of working of a and b = 2 : 1 . so , ratio of times taken = 1 : 2 . b ' s 1 day ' s work = 1 / 12 a ' s 1 day ' s work = 1 / 6 ; ( 2 times of b ' s work ) ( a + b ) ' s 1 day ' s work = ( 1 / 6 + 1 / 12 ) = 3 / 12 = 1 / 4 so , a and b together can finish the work in 4 days . answer is a\"" + }, + { + "Answer": 15, + "Options": "a ) 15 hrs , b ) 18 hrs , c ) 19 hrs , d ) 17 hrs , e ) 16 hrs", + "Correct": "a", + "Explanation": "\"if monkey hops 3 ft and slips back 2 ft in a hour , it means the monkey hops ( 3 ft - 2 ft ) = 1 ft / hr . similarly in 14 hrs it wil be 14 ft . bt since the height of the tree is 17 ft , so if the monkey hops up the tree in the next hr i . e 15 th hr then it reaches at the top of the tree . hence it takes 15 hrs for monkey to reach at the top answer : a\"" + }, + { + "Answer": 400.00000000000017, + "Options": "a ) rs . 380 , b ) rs . 600 , c ) rs . 420 , d ) rs . 400 , e ) rs . 480", + "Correct": "d", + "Explanation": "\"explanation : amount of work a can do in 1 day = 1 / 6 amount of work b can do in 1 day = 1 / 8 amount of work a + b can do in 1 day = 1 / 6 + 1 / 8 = 7 / 24 amount of work a + b + c can do = 1 / 3 amount of work c can do in 1 day = 1 / 3 - 7 / 24 = 1 / 24 work a can do in 1 day : work b can do in 1 day : work c can do in 1 day = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 amount to be paid to c = 3200 \u00d7 ( 1 / 8 ) = 400 answer : option d\"" + }, + { + "Answer": 36, + "Options": "a ) 36 kmph , b ) 42 kmph , c ) 48 kmph , d ) 52 kmph , e ) 64 kmph", + "Correct": "a", + "Explanation": "\"in 10 s the train crosses the pole and in 40 sec the train crosses one more stationary train in 30 sec the train travels a distance of 300 mtrs speed = 300 / 30 = 10 m / s = 10 * 18 / 5 = 36 kmph answer : a\"" + }, + { + "Answer": 108, + "Options": "a ) 42 , b ) 36 , c ) 108 , d ) 120 , e ) 124", + "Correct": "c", + "Explanation": "\"explanation : distance covered = 120 + 120 = 240 m time = 4 s let the speed of each train = v . then relative speed = v + v = 2 v 2 v = distance / time = 240 / 4 = 60 m / s speed of each train = v = 60 / 2 = 30 m / s = 30 \u00d7 36 / 10 km / hr = 108 km / hr answer : option c\"" + }, + { + "Answer": 7.199999999999999, + "Options": "a ) 7 hours , b ) 7.1 hours , c ) 7.2 hours , d ) 7.3 hours , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : when we have question like one is filling the tank and other is empting it , then we subtraction as , filled in 1 hour = 1 / 4 empties in 1 hour = 1 / 9 net filled in 1 hour = 1 / 4 - 1 / 9 = 5 / 36 so cistern will be filled in 36 / 5 hours i . e . 7.2 hours option c\"" + }, + { + "Answer": 2000000, + "Options": "a ) 9800000 , b ) 2000000 , c ) 7500000 , d ) 1200000 , e ) none of these", + "Correct": "b", + "Explanation": "explanation : number = ( 400 * 200 * 400 ) / 4 * 2 * 2 = 2000000 answer : b" + }, + { + "Answer": 72, + "Options": "a ) 68 , b ) 72 , c ) 76 , d ) 80 , e ) 84", + "Correct": "b", + "Explanation": "the projectiles travel a total of 985 km per hour . the time to meet is 1182 / 985 = 1.2 hours = 72 minutes the answer is b ." + }, + { + "Answer": 36, + "Options": "a ) 16 cm , b ) 24 cm , c ) 28 cm , d ) 36 cm , e ) 39 cm", + "Correct": "d", + "Explanation": "\"volume of the wire ( in cylindrical shape ) is equal to the volume of the sphere . \u03c0 ( 8 ) ^ 2 * h = ( 4 / 3 ) \u03c0 ( 12 ) ^ 3 = > h = 36 cm answer : d\"" + }, + { + "Answer": 3, + "Options": "a ) 0.1 , b ) 0.6 , c ) 1 , d ) 1.2 , e ) 3", + "Correct": "e", + "Explanation": "option e 20 + 40 t = 50 t t = 3" + }, + { + "Answer": 45, + "Options": "a ) 45 minutes , b ) 14 minutes , c ) 39 minutes , d ) 40 minutes 20 seconds , e ) none of these", + "Correct": "a", + "Explanation": "\"in one cycle they fill 40 + 30 - 20 = 50 liters 750 = 50 * n = > n = 15 here n = number of cycles . total time = 15 * 3 = 45 as in one cycle there are 3 minutes . thus 45 minutes answer : a\"" + }, + { + "Answer": 260, + "Options": "a ) 240 meters , b ) 260 meters , c ) 420 meters , d ) 600 meters , e ) can not be determined", + "Correct": "b", + "Explanation": "\"speed of the train in metres / sec = 72000 / 3600 = 20 distance travelled by train to cross the platform = 30 * 20 = 600 = length of train + length of platform distance travelled by train to cross the man = 17 * 20 = 340 = length of train length of platform = 600 - 340 = 260 answer : b\"" + }, + { + "Answer": 183, + "Options": "a ) 140 , b ) 150 , c ) 160 , d ) 170 , e ) 183", + "Correct": "e", + "Explanation": "\"l . c . m of two numbers is given by ( product of the two numbers ) / ( h . c . f of the two numbers ) = 2562 / 14 = 183 . answer : e\"" + }, + { + "Answer": 40, + "Options": "a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", + "Correct": "d", + "Explanation": "\"s = ( 200 + 300 ) / 45 = 500 / 45 * 18 / 5 = 40 answer : d\"" + }, + { + "Answer": 1620, + "Options": "a ) rs 840 , b ) rs 1320 , c ) rs 1620 , d ) rs 1680 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : ( men 4 : 9 ) : ( hrs / day 10 : 6 ) : : 1200 : x hence 4 * 10 * x = 9 * 6 * 1200 or x = 9 * 6 * 1200 / 4 * 10 = 1620 answer : c\"" + }, + { + "Answer": 62, + "Options": "a ) 40 , b ) 48 , c ) 54 , d ) 62 , e ) 76", + "Correct": "d", + "Explanation": "\"area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 4 x 1.25 + 8 x 1.25 ) + 8 x 4 ] = 62 the answer is d .\"" + }, + { + "Answer": 250, + "Options": "a ) 235 , b ) 240 , c ) 245 , d ) 250 , e ) 255", + "Correct": "d", + "Explanation": "\"speed = 45 * 5 / 18 = 25 / 2 m / sec . time = 30 sec let the length of bridge be x meters . then , ( 125 + x ) / 30 = 25 / 2 x = 250 m . answer : option d\"" + }, + { + "Answer": 3, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 7", + "Correct": "b", + "Explanation": "i think there is a mistake in this question . if all men and women together complete 12 units , how only men can do 15 units of work a day ? forgetting about the reality , women can do - 3 units a day . answer : b" + }, + { + "Answer": 15400, + "Options": "a ) s . 15,550 , b ) s . 15,400 , c ) s . 16,500 , d ) s . 17,600 , e ) s . 17,900", + "Correct": "b", + "Explanation": "\"area of the floor = ( 5.5 \u00e3 \u2014 4 ) m 2 = 22 m 2 . cost of paving = rs . ( 800 \u00e3 \u2014 22 ) = rs . 15400 answer : option b\"" + }, + { + "Answer": 30, + "Options": "a ) 10 kmph , b ) 20 kmph , c ) 25 kmph , d ) 30 kmph , e ) 27 kmph", + "Correct": "d", + "Explanation": "\"time = 6 distence = 270 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 270 / 9 = 30 kmph d )\"" + }, + { + "Answer": 60, + "Options": "a ) 40 days , b ) 30 days , c ) 60 days , d ) 70 days , e ) 50 days", + "Correct": "c", + "Explanation": "\"explanation : 12 = ( 15 * x ) / ( 15 + x ) 180 + 12 x = 15 x 3 x = 180 x = 60 answer : option c\"" + }, + { + "Answer": 14, + "Options": "a ) 87 days , b ) 14 days , c ) 55 days , d ) 44 days , e ) 22 days", + "Correct": "b", + "Explanation": "\"total work to be done = 30 * 40 = 1200 let 16 men leave the work after ' p ' days , so that the remaining work is completed in 40 days after they leave the work . 40 p + ( 16 * 40 ) = 1200 40 p = 560 = > p = 14 days answer : b\"" + }, + { + "Answer": 12, + "Options": "a ) 10 am , b ) 12 noon , c ) 10.30 am , d ) 12.30 am , e ) 11 am", + "Correct": "b", + "Explanation": "\"assume both trains meet after x hours after 7 am distance covered by train starting from p in x hours = 20 x km distance covered by train starting from q in ( x - 1 ) hours = 25 ( x - 1 ) total distance = 200 = > 20 x + 25 ( x - 1 ) = 200 = > 45 x = 225 = > x = 5 means , they meet after 5 hours after 7 am , ie , they meet at 12 noon answer is b .\"" + }, + { + "Answer": 134.11764705882354, + "Options": "a ) 89 men , b ) 120 men , c ) 90 men , d ) 60 men , e ) 134 men", + "Correct": "e", + "Explanation": "\"760 - - - - 22 760 - - - - 20 x - - - - - 17 x * 17 = 760 * 20 x = 894 760 - - - - - - - 134 answer : e\"" + }, + { + "Answer": 420, + "Options": "a ) 80 , b ) 63 , c ) 420 , d ) 160 , e ) 1260", + "Correct": "c", + "Explanation": "\"parallelogram can formed by 2 horizontal and 2 vertical lines for horizontal 6 c 2 for vertical 8 c 2 total parallelogram is 6 c 2 * 8 c 2 = 15 * 28 = 420 answer : c\"" + }, + { + "Answer": 225.00000000000006, + "Options": "a ) 125 days , b ) 150 days , c ) 90 days , d ) 225 days , e ) none of these", + "Correct": "d", + "Explanation": "15 women ' s work of a day = 1 \u2044 6 - 1 \u2044 10 \u21d2 1 \u2044 15 part \u2234 for 1 whole part a woman will take = 15 \u00d7 15 = 225 days . answer d" + }, + { + "Answer": 400, + "Options": "a ) 350 m , b ) 200 m , c ) 400 m , d ) 500 m , e ) none of them", + "Correct": "c", + "Explanation": "\"relative speed of the policeman = ( 10 - 8 ) km / hr = 2 km / hr . time taken by police man to cover ( 100 m / 1000 ) x 1 / 2 hr = 1 / 20 hr . in 1 / 20 hrs , the thief covers a distance of 8 x 1 / 20 km = 2 / 5 km = 400 m answer is c .\"" + }, + { + "Answer": 113.63636363636363, + "Options": "a ) 114 , b ) 115 , c ) 116 , d ) 117 , e ) 118", + "Correct": "a", + "Explanation": "\"let the required number of seconds be x more cloth , more time , ( direct proportion ) hence we can write as ( cloth ) 0.132 : 15 : : 1 : x = > 0.132 * x = 15 = > x = 15 / 0.132 = > x = 114 answer : a\"" + }, + { + "Answer": 48, + "Options": "a ) 40 , b ) 44 , c ) 48 , d ) 50 , e ) 38", + "Correct": "c", + "Explanation": "\"hexagon . it means 6 equal sides . p = 6 ( 8 ) = 48 inches answer c\"" + }, + { + "Answer": 12, + "Options": "a ) 15 seconds , b ) 18 seconds , c ) 25 seconds , d ) 30 seconds , e ) 12 seconds", + "Correct": "e", + "Explanation": "\"used pluging in method say t is the time for cristina to catch up with nicky , the equation will be as under : for nicky = n = 3 * t + 36 for cristina = c = 6 * t @ t = 12 , n = 72 c = 72 right answer ans : e\"" + }, + { + "Answer": 13.999999999999998, + "Options": "a ) 14 , b ) 15 , c ) 16 , d ) 18 , e ) 20", + "Correct": "a", + "Explanation": "\"35 printing presses can do 1 / 12 of the job each hour . 30 printing presses can do 6 / 7 * 1 / 12 = 1 / 14 of the job each hour . the answer is a .\"" + }, + { + "Answer": 6, + "Options": "a ) 3 hours , b ) 4 hours , c ) 5 hours , d ) 6 hours , e ) 7 hours", + "Correct": "d", + "Explanation": "\"explanation : speed of the boat in still water = 24 km / hr speed of the stream = 4 km / hr speed downstream = ( 22 + 5 ) = 28 km / hr distance travelled downstream = 168 km time taken = distance / speed = 168 / 28 = 6 hours answer : option d\"" + }, + { + "Answer": 59.999999999999964, + "Options": "a ) 10 hours , b ) 20 hours , c ) 60 hours , d ) 40 hours , e ) 50 hours", + "Correct": "c", + "Explanation": "\"if leakage / hour = 1 / x , then 1 / 10 - 1 / x = 1 / 12 , solving 1 / x = 1 / 60 so in 60 hours full cistern will be empty . answer : c\"" + }, + { + "Answer": 60, + "Options": "a ) 55 , b ) 56 , c ) 60 , d ) 58 , e ) none of these", + "Correct": "c", + "Explanation": "\"solution perimeter of the plot = 2 ( 90 + 60 ) = 300 m . \u2234 number of poles = [ 300 / 5 ] = 60 m answer c\"" + }, + { + "Answer": 146.66666666666666, + "Options": "a ) 288 , b ) 146.66 , c ) 188 , d ) 180 , e ) 12", + "Correct": "b", + "Explanation": "\"l = s * t s = 1200 / 80 s = 15 m / sec . total length ( d ) = 2200 m t = d / s t = 2200 / 15 t = 146.66 sec answer : b\"" + }, + { + "Answer": 343, + "Options": "a ) 343 , b ) 388 , c ) 327 , d ) 88 , e ) 99", + "Correct": "a", + "Explanation": "\"4 / 3 \u00ef \u20ac * 7 * 7 * 7 = 4 / 3 \u00ef \u20ac * 1 * 1 * 1 * x x = 343 answer : a\"" + }, + { + "Answer": 4, + "Options": "a ) 4.0 , b ) 3.8 , c ) 7.2 , d ) 7.5 , e ) 8.0", + "Correct": "a", + "Explanation": "\"pick a number which is lcm of 3 and 6 = 12 . upstream time = 12 / 6 = 2 hrs downstream time = 12 / 3 = 4 hrs total time = 6 hrs total distance = 24 average speed = 24 / 6 = 4.0 km / hr\"" + }, + { + "Answer": 180.00000000000003, + "Options": "a ) 200 , b ) 220 , c ) 240 , d ) 180 , e ) 260", + "Correct": "d", + "Explanation": "average speed = distance / time because we are looking for average speed we can pick a distance for the variable d . speed x - y = 300 speed y - z = 100 average speed = total distance / total rate rate = distance / time x = = = = = = = = = = = = = = = = = = = = y = = = = = = = = = = z if x - y is twice the length of y - z then let x - y = 2 d and let y - z = d average speed = 3 d / ( 2 d / 300 ) + ( d / 100 ) 3 d / ( 2 d / 300 ) + ( 3 d / 300 ) 3 d / ( 5 d / 300 ) 900 d / 5 d average speed = 180 answer : d" + }, + { + "Answer": 230.03999999999996, + "Options": "a ) 220 meter , b ) 225 meter , c ) 230 meter , d ) 235 meter , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : as trains are running in opposite directions so their relative speed will get added so , relative speed = 120 + 80 = 200 kmph = 200 * ( 5 / 18 ) = 500 / 9 m / sec let the length of other train is x meter then x + 270 / 9 = 500 / 9 = > x + 270 = 500 = > x = 230 so the length of the train is 230 meters option c\"" + }, + { + "Answer": 16.998640108791296, + "Options": "a ) 10 sec , b ) 32 sec , c ) 17 sec , d ) 20 sec , e ) 89 sec", + "Correct": "c", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 60 + 280 = 400 m . the time required = d / s = 340 / 20 = 20 sec . answer : c\"" + }, + { + "Answer": 36, + "Options": "a ) 79 , b ) 30 , c ) 36 , d ) 66 , e ) 12", + "Correct": "c", + "Explanation": "length = speed * time speed = l / t s = 700 / 70 s = 10 m / sec speed = 10 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 36 kmph . answer : c" + }, + { + "Answer": 4000000, + "Options": "a ) 9800000 , b ) 1000000 , c ) 7500000 , d ) 4000000 , e ) none of these", + "Correct": "d", + "Explanation": "explanation : number = ( 800 * 1000 * 600 ) / 4 * 5 * 6 = 4000000 answer : d" + }, + { + "Answer": 1, + "Options": "a ) 2 days , b ) 3 days , c ) 2.5 days , d ) 4 days , e ) 1 day", + "Correct": "e", + "Explanation": "\"the length of cloth painted by one woman in one day = 360 / 6 \u00d7 3 = 20 m no . of days required to paint 100 m cloth by 5 women = 100 / 5 \u00d7 20 = 1 day answer : e\"" + }, + { + "Answer": 8000, + "Options": "a ) 2000 , b ) 4500 , c ) 5000 , d ) 8000 , e ) 9000", + "Correct": "d", + "Explanation": "\"number of bottles that can be held in a case = 9 . number of cases required to hold 72000 bottles = 72000 / 9 = 8000 cases . so the answer is d = 8000\"" + }, + { + "Answer": 90, + "Options": "a ) $ 83 , b ) $ 90 , c ) $ 92 , d ) $ 97 , e ) $ 104", + "Correct": "b", + "Explanation": "\"average daily wage of a worker for 15 consecutive working days = 90 $ during the first 7 days , the daily average daily wage = 87 $ during the last 7 days , the daily average daily wage = 93 $ wage on 8 th day = 90 * 15 - ( 87 * 7 + 93 * 7 ) = 1350 - ( 609 + 651 ) = 1350 - 1260 = 90 answer b\"" + }, + { + "Answer": 1500, + "Options": "a ) 4436 toys , b ) 1500 toys , c ) 6113 toys , d ) 2354 toys , e ) 1375 toys", + "Correct": "b", + "Explanation": "\"to find the number of toys produced every day , we divide the total number of toys produced in one week ( of 4 days ) by 4 . 6000 / 4 = 1500 toys correct answer b\"" + }, + { + "Answer": 240.03999999999996, + "Options": "a ) 240 mts , b ) 270 mts , c ) 260 mts , d ) 250 mts , e ) none of these", + "Correct": "a", + "Explanation": "explanation : relative speed = 120 + 80 = 200 km / hr . = 200 x 5 / 18 = 500 / 9 m / sec . let the length of the other train be l mts . then , ( l + 260 ) / 9 = 500 / 9 = > l = 240 mts . answer is a" + }, + { + "Answer": 9.062499999999996, + "Options": "a ) 3 % , b ) 5 % , c ) 8 % , d ) 9 % , e ) 12 %", + "Correct": "d", + "Explanation": "\"bob ' s time = 640 secs . his sis ' time = 582 secs . percent increase needed = ( 640 - 582 / 640 ) * 100 = 58 / 640 * 100 = 9 % . ans ( d ) .\"" + }, + { + "Answer": 24.198064154867613, + "Options": "a ) 82.1 sec , b ) 12.1 sec , c ) 24.2 sec , d ) 13.1 sec , e ) 12.15 sec", + "Correct": "c", + "Explanation": "\"speed = 36 * 5 / 18 = 10 m / sec total distance covered = 110 + 132 = 242 m . required time = 242 / 10 = 24.2 sec . answer : c\"" + }, + { + "Answer": 12.857142857142858, + "Options": "a ) 12.85 , b ) 12.62 , c ) 12.5 , d ) 12.24 , e ) 12.1", + "Correct": "a", + "Explanation": "\"1200 * 15 = 1400 * x x = 12.85 . answer : a\"" + }, + { + "Answer": 30, + "Options": "a ) 15 , b ) 20 , c ) 30 , d ) 25 , e ) 18", + "Correct": "c", + "Explanation": "original number of men = 5 * 12 / ( 12 - 10 ) = 30 answer is c" + }, + { + "Answer": 3, + "Options": "a ) 1 minutes , b ) 2 minutes , c ) 3 minutes , d ) 4 minutes , e ) 5 minutes", + "Correct": "c", + "Explanation": "\"it will take 3 minutes for 100 cats to kill 100 rats . 1 cat can kill 1 rat in 3 minutes , so 100 cats can kill 100 rats in 3 minutes answer c\"" + }, + { + "Answer": 11.249999999999998, + "Options": "a ) 10 , b ) 11.3 , c ) 13 , d ) 14 , e ) 15", + "Correct": "b", + "Explanation": "\"speed of the first train = 120 / 9 = 13.3 m / sec . speed of the second train = 120 / 15 = 8 m / sec . relative speed = 13.3 + 8 = 21.3 m / sec . required time = ( 120 + 120 ) / 21.3 = 11.3 sec . answer : option b\"" + }, + { + "Answer": 200, + "Options": "a ) 112 , b ) 133 , c ) 150 , d ) 167 , e ) 200", + "Correct": "e", + "Explanation": "since we know the distance ( 350 ) and the combined rate ( 70 ) , we plug it into the formula : distance = rate * time 350 = 70 * time we can solve for the time they will meet cause we added the rate of train a and train b together . so the time will be 350 / 70 from dividing 70 on both sides to isolate time in the equation above . time will be 5 hours so now you can plug that in for train a \u2019 s distance . distance = rate * time distance = 40 * 5 distance = 200 according to answer choice e ." + }, + { + "Answer": 9, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 8", + "Correct": "a", + "Explanation": "suppose they meet x hours after 7 a . m . distance covered by a in x hours = 20 x km . distance covered by b in ( x - 1 ) hours = 25 ( x - 1 ) km . therefore 20 x + 25 ( x - 1 ) = 65 45 x = 90 x = 2 . so , they meet at 9 a . m . answer : option a" + }, + { + "Answer": 0.1111111111111111, + "Options": "a ) 1 / 9 , b ) 2 / 15 , c ) 3 / 15 , d ) 1 / 4 , e ) 3 / 8", + "Correct": "a", + "Explanation": "dan travels 4 miles round trip . running part : ( 2 / 10 = 1 / 5 * 60 = 12 minutes ) swimming part : ( 2 / 5 = 2 / 5 * 60 = 24 minutes ) 4 miles in ( 12 + 24 ) minutes 4 / 36 = 1 / 9 mile per minute answer : 1 / 9 mile per minute" + }, + { + "Answer": 18, + "Options": "a ) 12 , b ) 15 , c ) 17 , d ) w = 18 , e ) 20", + "Correct": "d", + "Explanation": "\"since we are concerned with integers w between 1 and 20 , write down the primes till 40 . 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 ( you should be very comfortable with the first few primes . . . ) 2 , 3 , 5 , 7 , 11,12 , 13 , 17 , 19 , 23 , 29 , 31 , 37 - three pairs ( 11,13 ) , ( 7,17 ) , ( 5 , 19 ) 2 , 3 , 5 , 7 , 11 , 13 , 15,17 , 19 , 23 , 29 , 31 , 37 - three pairs ( 13 , 17 ) , ( 11 , 19 ) , ( 7 , 23 ) 2 , 3 , 5 , 7 , 11 , 13,17 , 19 , 23 , 29 , 31 , 37 - three pairs ( 11 , 23 ) , ( 5 , 29 ) , ( 3 , 31 ) 2 , 3 , 5 , 7 , 11 , 13 , 17 , 18,19 , 23 , 29 , 31 , 37 - four pairs ( 17 , 19 ) , ( 13 , 23 ) , ( 7 , 29 ) , ( 5 , 31 ) 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 20,23 , 29 , 31 , 37 - definitely can not be more than 4 since there are only 4 primes more than 20 . so must be less than 4 pairs . ignore . answer ( d ) .\"" + }, + { + "Answer": 6.25, + "Options": "a ) 9.25 , b ) 5.25 , c ) 7.25 , d ) 6.25 , e ) 5.1", + "Correct": "d", + "Explanation": "\"explanation : speed downstream = ( 20 + 5 ) kmph = 25 kmph distance travelled = ( 25 * ( 15 / 60 ) ) km = 6.25 km . answer : d\"" + }, + { + "Answer": 7, + "Options": "a ) 7 days , b ) 5 days , c ) 3 days , d ) 4 days , e ) 8 days", + "Correct": "a", + "Explanation": "the equation portraying the given problem is : 10 * x \u2013 2 * ( 30 \u2013 x ) = 216 where x is the number of working days . solving this we get x = 23 number of days he was absent was 7 ( 30 - 23 ) days . answer : a" + }, + { + "Answer": 7.999999999999998, + "Options": "a ) 1 , b ) 7 , c ) 8 , d ) 9 , e ) 6", + "Correct": "c", + "Explanation": "c = 1 / 4 - 1 / 12 \u2013 1 / 24 = 1 / 8 = > 8 days ' answer : c" + }, + { + "Answer": 20, + "Options": "a ) 25 min , b ) 20 min , c ) 28 min , d ) 15 min , e ) 10 min", + "Correct": "b", + "Explanation": "if 6 women take an hour to dig a ditch , then 18 men will take 6 * 60 / 18 = 20 mins to dig a ditch of the same type . answer : b" + }, + { + "Answer": 8, + "Options": "a ) 8 , b ) 10 , c ) 15 , d ) 17 , e ) 19", + "Correct": "a", + "Explanation": "30 * 25 = 750 490 - - - - - - - - - - - 260 25 + 7.50 = 32.5 260 / 32.5 = 8 a" + }, + { + "Answer": 5.833333333333333, + "Options": "a ) 5.8 days , b ) 4.78 days , c ) 6.25 days , d ) 3.15 days , e ) 2.75 days", + "Correct": "a", + "Explanation": "1 / 10 + 1 / 14 = 6 / 35 35 / 6 = 5.8 days answer : a" + }, + { + "Answer": 15, + "Options": "a ) 50 hours , b ) 40 hours , c ) 15 hours , d ) 12 hours , e ) 8 hours", + "Correct": "c", + "Explanation": "\"here , we ' re told that 5 machines can produce 20 units in 10 hours . . . . that means that each machine works for 10 hours apiece . since there are 5 machines ( and we ' re meant to assume that each machine does the same amount of work ) , then the 5 machines equally created the 20 units . 20 units / 5 machines = 4 units are made by each machine every 10 hours now that we know how long it takes each machine to make 4 units , we can break this down further if we choose to . . . 10 hours / 4 units = 2.5 hours per unit when 1 machine is working . the prompt asks us how long would it take 20 machines to produce 120 units . if 20 machines each work for 2.5 hours , then we ' ll have 20 units . since 120 units is ' 6 times ' 20 , we need ' 6 times ' more time . ( 2.5 hours ) ( 6 times ) = 15 hours final answer : [ reveal ] spoiler : c\"" + }, + { + "Answer": 84.03380995252074, + "Options": "['a ) 76 m', 'b ) 80 m', 'c ) 84 m', 'd ) 88 m', 'e ) none of these']", + "Correct": "c", + "Explanation": "explanation : let the length of the wire be h radius = 1 / 2 mm = 120 cm \u03c0 r 2 h = 66 22 / 7 \u2217 1 / 20 \u2217 1 / 20 \u2217 h = 66 = > h = 66 \u2217 20 \u2217 20 \u2217 7 / 22 = 8400 cm = 84 m option c" + }, + { + "Answer": 12, + "Options": "a ) 10 , b ) 12 , c ) 22 , d ) 28 , e ) 20", + "Correct": "b", + "Explanation": "a can do the work in 60 / 4 i . e . , 15 days . a and b ' s one day ' s work = 1 / 15 + 1 / 60 = ( 4 + 1 ) / 60 = 1 / 12 so a and b together can do the work in 12 days . answer : b" + }, + { + "Answer": 6, + "Options": "a ) 5 days , b ) 15 days , c ) 28 days , d ) 6 days , e ) 7 days", + "Correct": "d", + "Explanation": "explanation : 1 man \u2019 s 1 day \u2019 s work = 1 / 8 \u00d7 12 = 1 / 96 10 men \u2019 s 1 day \u2019 s work = 1 \u00d7 10 / 96 = 5 / 48 1 woman \u2019 s 1 day \u2019 s work = 1 / 192 4 women \u2019 s 1 day \u2019 s work = 1 / 192 \u00d7 4 = 1 / 48 1 child \u2019 s 1 day \u2019 s work = 1 / 240 10 children \u2019 s 1 day \u2019 s work = 1 / 24 therefore , ( 10 men + 4 women + 10 children ) \u2019 s 1 day \u2019 s work = 5 / 48 + 1 / 48 + 1 / 24 = 8 / 48 = 1 / 6 the required no . of days = 6 days answer : option d" + }, + { + "Answer": 103.2, + "Options": "a ) 100 m sqaure , b ) 103 m sqaure , c ) 152 m sqaure , d ) 164 m sqaure , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : area of the wet surface = 2 [ lb + bh + hl ] - lb = 2 [ bh + hl ] + lb = 2 [ ( 6 * 1.35 + 10 * 1.35 ) ] + 10 * 6 = 103 m square option b\"" + }, + { + "Answer": 1.3333333333333333, + "Options": "a ) 2 / 3 , b ) 1 , c ) 4 / 3 , d ) 8 / 5 , e ) 3", + "Correct": "c", + "Explanation": "the speed of car q is ( distance ) / ( time ) = 80 / 2 = 40 miles per hour . the speed of car y = 3 / 2 * 40 = 60 miles per hour - - > ( time ) = ( distance ) / ( speed ) = 80 / 60 = 4 / 3 hours . answer : c . or : to cover the same distance at 3 / 2 as fast rate 2 / 3 as much time is needed - - > ( time ) * 2 / 3 = 2 * 2 / 3 = 4 / 3 hours . answer : c ." + }, + { + "Answer": 32.99736021118311, + "Options": "a ) 81 , b ) 16 , c ) 33 , d ) 54 , e ) 12", + "Correct": "c", + "Explanation": "\"speed of train relative to man = 60 + 6 = 66 km / hr . = 66 * 5 / 18 = 55 / 3 m / sec . time taken to pass the men = 605 * 3 / 55 = 33 sec . answer : c\"" + }, + { + "Answer": 3.125, + "Options": "a ) 4.13 days , b ) 3.13 days , c ) 513 days , d ) 9.13 days , e ) 2 days", + "Correct": "b", + "Explanation": "the length of wall painted by one boy in one day = 60 / 6 * 1 / 5 = 2 m no . of days required to paint 50 m cloth by 8 boys = 50 / 8 * 1 / 2 = 3.13 days . b" + }, + { + "Answer": 960, + "Options": "a ) 860 km , b ) 870 km , c ) 960 km , d ) 260 km , e ) 840 km", + "Correct": "c", + "Explanation": "explanation : 60 ( x + 1 ) = 64 x x = 15 60 x 16 = 960 km answer : c" + }, + { + "Answer": 66, + "Options": "a ) 66 , b ) 72 , c ) 80 , d ) 68 , e ) 73", + "Correct": "a", + "Explanation": "\"1 . no . of coaches = 4 sqr root = 2 speed decreases by 12 12 = k * 2 k = 6 no . of coaches = 16 swr root = 4 decrease = 4 * 6 = 24 new speed = 90 - 24 = 66 a\"" + }, + { + "Answer": 20, + "Options": "a ) 24 hours , b ) 5 hours , c ) 10 hours , d ) 15 hours , e ) 20 hours", + "Correct": "e", + "Explanation": "f r and s together can do a piece of work in x days and r alone can do the same work in y days , then s alone can do the same work in x y / y \u00e2 \u20ac \u201c x days . the no . of hours required by s = 10 \u00e3 \u2014 20 / 20 \u00e2 \u20ac \u201c 10 = 200 / 10 = 20 hours e" + }, + { + "Answer": 12500, + "Options": "a ) 13000 , b ) 12500 , c ) 13500 , d ) 14000 , e ) 15000", + "Correct": "b", + "Explanation": "let the rate be x , then population of the bacteria after each hour can be given as 500,500 x , 500 ( x ^ 2 ) , 500 ( x ^ 3 ) now population at 4 pm = 62,500 thus we have 500 ( x ^ 3 ) = 62,500 = 125 thus x = 5 therefore population at 3 pm = 500 ( 25 ) = 12500 answer : b" + }, + { + "Answer": 7.028571428571429, + "Options": "a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", + "Correct": "a", + "Explanation": "\"after renting bowling shoes the person is left with $ 12.80 - $ 0.5 = $ 12.30 , which is enough for 12.3 / 1.75 = 7.02 - > ~ 7 . answer : a .\"" + }, + { + "Answer": 235.973122150228, + "Options": "a ) 230 , b ) 232 , c ) 234 , d ) 236 , e ) 238", + "Correct": "e", + "Explanation": "\"relative speed = ( 560 / 6 ) m / s = ( 560 / 6 ) * ( 18 / 5 ) = 336 kmph speed of goods train = 336 - 100 = 236 kmph answer is e\"" + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 2 days , b ) 7 days , c ) 6 days , d ) 9 days , e ) 3 days", + "Correct": "c", + "Explanation": "\"c 6 days time taken to finish the job = xy / ( x + y ) = 10 x 15 / ( 10 + 15 ) = 150 / 25 = 6 days\"" + }, + { + "Answer": 8, + "Options": "a ) 8 days , b ) 3 days , c ) 7 days , d ) 5 days , e ) 6 days", + "Correct": "a", + "Explanation": "\"that is , 1 work done = 12 \u00d7 8 \u00d7 10 then , 12 8 \u00d7 10 = ? \u00d7 15 \u00d7 8 ? ( i . e . no . of men required ) = 12 \u00d7 8 \u00d7 10 / 15 \u00d7 10 = 8 days . a\"" + }, + { + "Answer": 23.998080153587715, + "Options": "a ) 10 sec , b ) 32 sec , c ) 82 sec , d ) 24 sec , e ) 89 sec", + "Correct": "d", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 160 + 320 = 480 m . the time required = d / s = 480 / 20 = 24 sec . answer : d\"" + }, + { + "Answer": 154.0619849129547, + "Options": "['a ) 77', 'b ) 154', 'c ) 308', 'd ) 318', 'e ) none of these']", + "Correct": "b", + "Explanation": "perimeter of circle = 2 * 22 / 7 * r = 44 cm from this r = 7 then area of circle = 22 / 7 * r ^ 2 = 154 answer : b" + }, + { + "Answer": 5, + "Options": "a ) 5 . , b ) 10 . , c ) 14 . , d ) 15 . , e ) 20 .", + "Correct": "a", + "Explanation": "\"time is in the ratio 2 : 1 : : to : fro office therefore , 2 x + 1 x = 6 hrs time take to come back - 2 hrs , distance travelled - 10 km = > speed = 5 kmph a\"" + }, + { + "Answer": 100, + "Options": "a ) 88 , b ) 100 , c ) 198 , d ) 216 , e ) 252", + "Correct": "b", + "Explanation": "total distance from 10 to 90 = 80 + from 90 to 70 = 20 so the dist is 100 \u00d7 40 ( per block dist ) speed = 4000 mts / 40 min = 100 m / min b is the answer" + }, + { + "Answer": 6, + "Options": "a ) 5 , b ) 6 , c ) 7 , d ) 5.5 , e ) 6.5", + "Correct": "b", + "Explanation": "\"relative speed of car a is 58 - 50 = 8 miles per hour , to catch up 40 miles and drive 8 miles ahead so to drive 48 miles it ' ll need 48 / 8 = 6 hours . answer : b\"" + }, + { + "Answer": 8.999999999999998, + "Options": "a ) 9 min , b ) 10 min , c ) 12 min , d ) 7 min , e ) none of these", + "Correct": "a", + "Explanation": "let a was turned off after x min . then , cistern filled by a in x min + cistern filled by b in ( x + 23 ) min = 1 \u21d2 x / 45 + x + 23 / 40 = 1 \u21d2 17 x + 207 = 360 \u21d2 x = 9 min . answer a" + }, + { + "Answer": 79, + "Options": "a ) 76 kmph , b ) 75 kmph , c ) 87 kmph , d ) 79 kmph , e ) 86 kmph", + "Correct": "d", + "Explanation": "\"s = ( 98 + 60 ) / 2 = 79 kmph answer : d\"" + }, + { + "Answer": 140, + "Options": "a ) 140 , b ) 272 , c ) 278 , d ) 277 , e ) 112", + "Correct": "a", + "Explanation": "\"speed = 56 * ( 5 / 18 ) m / sec = 140 / 9 m / sec length of train ( distance ) = speed * time ( 140 / 9 ) * 9 = 140 meter answer : a\"" + }, + { + "Answer": 2, + "Options": "a ) 1 kmph , b ) 4 kmph , c ) 3 kmph , d ) 2 kmph , e ) 1.9 kmph", + "Correct": "d", + "Explanation": "\"sol . speed of stream = 1 / 2 ( 12 - 8 ) kmph = 2 kmph . answer d\"" + }, + { + "Answer": 75, + "Options": "a ) 70 , b ) 75 , c ) 87.5 , d ) 90 , e ) 92.5", + "Correct": "b", + "Explanation": "\"as the ratio of the rates of a and b is 6 to 10 then the distance covered at the time of the meeting ( so after traveling the same time interval ) would also be in that ratio , which means that a would cover 6 / ( 6 + 10 ) = 6 / 16 of 200 miles : 200 * 6 / 16 = 75 miles . answer : b .\"" + }, + { + "Answer": 41, + "Options": "a ) 29 , b ) 92 , c ) 41 , d ) 32 , e ) 23", + "Correct": "c", + "Explanation": "\"us = 34 ds = 48 m = ( 48 + 34 ) / 2 = 41 answer : c\"" + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 6 days , b ) 5 days , c ) 7 days , d ) 8 days , e ) 10 days", + "Correct": "a", + "Explanation": "( raja + ram ) ' s 1 days work = 1 / 4 raja 1 day work = 1 / 2 ram 1 day work = ( 1 / 4 - 1 / 12 ) = 1 / 6 = = > 6 days answer a" + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 5 , b ) 7 , c ) 6 , d ) 4 , e ) 8", + "Correct": "c", + "Explanation": "\"a and b ' s one day work = 1 / 4 a ' s 1 day ' s work = 1 / 12 b ' s 1 day ' s work = ( 1 / 4 ) - ( 1 / 12 ) = 2 / 12 = 1 / 6 hence b alone can complete the work in 6 days . answer is option c\"" + }, + { + "Answer": 12, + "Options": "a ) 17 sec , b ) 16 sec , c ) 18 sec , d ) 14 sec , e ) 12 sec", + "Correct": "e", + "Explanation": "\"speed = 90 * 5 / 18 = 25 m / sec time taken = 300 * 1 / 25 = 12 sec answer : e\"" + }, + { + "Answer": 162, + "Options": "a ) 170 , b ) 160 , c ) 162 , d ) 130 , e ) 122", + "Correct": "c", + "Explanation": "\"45 * 18 / 5 = 162 kmph answer : c\"" + }, + { + "Answer": 35.0028, + "Options": "a ) 10 mps , b ) 35 mps , c ) 26 mps , d ) 97 mps , e ) 16 mps", + "Correct": "b", + "Explanation": "\"126 * 5 / 18 = 35 mps answer : b\"" + }, + { + "Answer": 75, + "Options": "a ) 12 , b ) 75 , c ) 88 , d ) 54 , e ) 15", + "Correct": "b", + "Explanation": "\"s = ( 90 + 60 ) / 2 = 75 kmph answer : b\"" + }, + { + "Answer": 16, + "Options": "a ) 15 , b ) 16 , c ) 22 , d ) 18 , e ) 25", + "Correct": "b", + "Explanation": "\"work done by sakshi in 1 day = 1 / 20 since tanya is 25 % efficient than sakshi , she completes 25 % more work in a day than sakshi . = > tanya ' s 1 day work = 1 / 20 + 1 / 20 * 25 / 100 = 1 / 16 so time taken by tanya to finish the work = 16 days answer : b\"" + }, + { + "Answer": 0.43333333333333335, + "Options": "a ) 1 / 12 , b ) 5 / 12 , c ) 1 / 6 , d ) 13 / 30 , e ) 1 / 5", + "Correct": "d", + "Explanation": "the question asks : how far apart will they be 1 minute = 1 / 60 hours before they collide ? since the combined rate of the boats is 5 + 21 = 26 mph then 1 / 60 hours before they collide they ' ll be rate * time = distance - - > 26 * 1 / 60 = 13 / 30 miles apart . answer : d ." + }, + { + "Answer": 24, + "Options": "a ) 12 , b ) 18 , c ) 22 , d ) 24 , e ) 26", + "Correct": "d", + "Explanation": "\"solution let the required number of days be x . then , less men , more days \u2234 27 : 36 : : 18 : x \u21d4 27 \u00d7 x = 36 \u00d7 18 \u21d4 x = 36 x 18 / 27 x = 24 . answer d\"" + }, + { + "Answer": 11.657142857142858, + "Options": "a ) 15 sec , b ) 11.6 sec , c ) 31.6 sec , d ) 12.6 sec , e ) 23 sec", + "Correct": "b", + "Explanation": "explanation : d = 170 m + 170 m = 340 m rs = 55 + 50 = 105 * 5 / 18 = 146 / 5 t = 340 * 5 / 146 = 11.6 sec answer : option b" + }, + { + "Answer": 6.285714285714286, + "Options": "a ) 6.24 , b ) 7.4 , c ) 7.92 , d ) 6.28 , e ) 7.24", + "Correct": "d", + "Explanation": "\"net part filled in 1 hour = ( 1 / 4 - 1 / 11 ) = 7 / 44 the cistern will be filled in 44 / 7 hrs i . e . , 6.28 hrs . answer : d\"" + }, + { + "Answer": 8.749300055995521, + "Options": "a ) 2.5 sec , b ) 2.95 sec , c ) 1.3 sec , d ) 8.75 sec , e ) 1.85 sec", + "Correct": "d", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 100 / 40 = 8.75 sec . answer : d\"" + }, + { + "Answer": 722.7272727272727, + "Options": "a ) 440 , b ) 540 , c ) 640 , d ) 722 , e ) 250", + "Correct": "d", + "Explanation": "\"speed of aeroplane = 530 kmph distance travelled in 5 hours = 530 * 5 = 2650 km speed of aeroplane to acver 2650 km in 11 / 3 = 2650 * 3 / 11 = 722 km answer d\"" + }, + { + "Answer": 30, + "Options": "a ) 15 min , b ) 20 min , c ) 25 min , d ) 30 min , e ) 35 min", + "Correct": "d", + "Explanation": "\"required time = 30 * 2 * 1 / 2 = 30 minutes answer is d\"" + }, + { + "Answer": 13, + "Options": "a ) 11 , b ) 13 , c ) 20 3 / 17 , d ) 14 , e ) none of these", + "Correct": "b", + "Explanation": "explanation : ratio of times taken by a and b = 100 : 130 = 10 : 13 suppose b takes x days to work the 10 : 13 : : 23 : x = > x = 23 x 13 / 10 = 299 / 10 a \u2019 s one day work = 1 / 23 and b \u2019 s is 10 / 299 then a + b \u2018 s work = 1 / 23 + 10 / 299 = 23 / 299 = 1 / 13 = > 13 days answer : option b" + }, + { + "Answer": 20, + "Options": "a ) 35 , b ) 20 , c ) 45 , d ) 50 , e ) 55", + "Correct": "b", + "Explanation": "avg . speed = total distance / total time total distance = 80 miles total time = 40 / 15 + 40 / 30 = 4 avg . speed = 20 . answer - b" + }, + { + "Answer": 1200, + "Options": "a ) 1100 yards , b ) 1200 yards , c ) 1300 yards , d ) 1400 yards , e ) 1000 yards", + "Correct": "b", + "Explanation": "\"if x is the distance , a is speed of a and b is speed of b , then ; 500 / a = ( x - 500 ) / b and ( x + 300 ) / a = ( 2 x - 300 ) / b , solving it , we get x = 1200 yards answer : b\"" + }, + { + "Answer": 29.999999999999993, + "Options": "a ) 20 , b ) 24 , c ) 26 , d ) 28 , e ) 30", + "Correct": "e", + "Explanation": "\"let total time taken by d to complete the job = d total time taken by a to complete the job = 15 work done by a in an hour 1 / a = 1 / 15 working together a and d can complete the job in 10 hours 1 / a + 1 / d = 1 / 10 = > 1 / d = 1 / 10 - 1 / 15 = 1 / 10 - 1 / 15 = 1 / 30 = > d = 30 hours answer e\"" + }, + { + "Answer": 2828, + "Options": "a ) 2828 , b ) 2850 , c ) 1365 , d ) 1574 , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : hcf * lcm = 62216 , because we know product of two numbers = product of hcf and lcm lcm = 62216 / 22 = 2828 option a\"" + }, + { + "Answer": 140, + "Options": "a ) 287 , b ) 1287 , c ) 140 , d ) 988 , e ) 271", + "Correct": "c", + "Explanation": "\"3 x * 2 x = 4704 = > x = 28 2 ( 84 + 56 ) = 280 m 280 * 1 / 2 = rs . 140 answer : c\"" + }, + { + "Answer": 330, + "Options": "a ) 350 m , b ) 400 m , c ) 272 m , d ) 330 m , e ) 267 m", + "Correct": "d", + "Explanation": "length of the train be \u2018 x \u2019 ( x + 1200 ) / 45 = ( x + 180 ) / 15 x + 1200 = 3 x + 540 2 x = 660 x = 330 m answer : d" + }, + { + "Answer": 24, + "Options": "a ) 10 days , b ) 11 days , c ) 13 days , d ) 15 days , e ) 24 days", + "Correct": "e", + "Explanation": "\"8 men = 12 women ( i . e 2 men = 3 women ) 12 women 1 day work = 1 / 40 soln : 6 men ( 9 women ) + 11 women = 20 women = ? 1 women 1 day work = 12 * 40 = 1 / 480 so , 20 women work = 20 / 480 = 1 / 24 ans : 24 days answer : e\"" + }, + { + "Answer": 4, + "Options": "a ) 18 min , b ) 4 min , c ) 8 min , d ) 6 min , e ) 5 min", + "Correct": "b", + "Explanation": "\"due to stoppages , it covers 6 km less . time taken to cover 6 km = 6 / 90 * 60 = 4 min . answer : b\"" + }, + { + "Answer": 0.19444444444444442, + "Options": "a ) 7 / 36 , b ) 9 / 35 , c ) 4 / 37 , d ) 8 / 35 , e ) 5 / 3", + "Correct": "a", + "Explanation": "\"a ' s one day ' s work = 1 / 18 b ' s one day ' s work = 1 / 24 ( a + b ) ' s one day ' s work = 1 / 18 + 1 / 24 = 7 / 72 the part of the work completed in 3 days = 2 ( 7 / 72 ) = 7 / 36 . answer : a\"" + }, + { + "Answer": 1.5, + "Options": "a ) 1.2 km , b ) 1.3 km , c ) 1.4 km , d ) 1.5 km , e ) 1.6 km", + "Correct": "d", + "Explanation": "\"let the distance be x t 1 = x / 3 hr t 2 = x / 6 hr difference in time = 7 + 8 = 15 = 1 / 4 hr x / 3 - x / 6 = 1 / 4 x / 6 = 1 / 4 x = 1.5 km answer is d\"" + }, + { + "Answer": 18.07228915662651, + "Options": "a ) 100.11 , b ) 10.98 , c ) 18.07 , d ) 45.01 , e ) 35.09", + "Correct": "c", + "Explanation": "let us assume total job = 100 units a finishes 100 units in 100 hrs ( given ) hence a ( working rate ) = 1 units / hr now given that a works for 2 hr ( so 2 units done ) then a and b finish total work in 15 hours . hence a and b finish 98 units in 15 hours . of these 1 x 15 = 15 units were done by a . hence b did 83 units in 15 hours . hence b ( working rate ) = 83 / 15 units / hr hence b takes 100 x 15 / 83 = 18.07 hours to complete the job . answer c ." + }, + { + "Answer": 2.5, + "Options": "a ) 0.5 l , b ) 1.5 l , c ) 2.5 l , d ) 3.5 l , e ) 4.5 l", + "Correct": "c", + "Explanation": "\"the train passes a pole in t seconds , so velocity v = l / t ( l + p ) / v = 3.5 t ( l + p ) / ( l / t ) = 3.5 t p = 2.5 l the answer is c .\"" + }, + { + "Answer": 24, + "Options": "a ) 16 hours , b ) 18 hours , c ) 20 hours , d ) 24 hours , e ) 26 hours", + "Correct": "d", + "Explanation": "\"speed of upstream = 9 - 1.5 = 7.5 kmph speed of down stream = 9 + 1.5 = 10.5 kmph total time = ( 105 / 7.5 ) + ( 105 / 10.5 ) = 24 hrs answer : d\"" + }, + { + "Answer": 12.099032077433806, + "Options": "a ) 12 , b ) 12.1 , c ) 13 , d ) 14 , e ) 15", + "Correct": "b", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec total distance covered = 110 + 132 = 242 m . required time = 242 / 20 = 12.1 sec . answer : option b\"" + }, + { + "Answer": 100, + "Options": "a ) 198 mph , b ) 110 mph , c ) 88 mph , d ) 100 mph , e ) 99 mph", + "Correct": "d", + "Explanation": "( 110 mph + 90 mph ) / 2 = 100 mph correct answer is : d" + }, + { + "Answer": 40.00000000000001, + "Options": "a ) 3.6 sec , b ) 40 sec , c ) 36 sec , d ) 72 sec , e ) none of these", + "Correct": "b", + "Explanation": "\"speed of train relative to jogger = ( 45 \u2013 9 ) km / h = 36 km / h = ( 36 \u00d7 5 \u2044 18 ) m / sec = 10 m / sec distance to be covered = ( 280 + 120 ) m = 400 m . \u2234 time taken = ( 400 \u2044 10 ) sec = 40 sec . answer b\"" + }, + { + "Answer": 4356, + "Options": "['a ) 4225', 'b ) 4096', 'c ) 4356', 'd ) insufficient data', 'e ) none of these']", + "Correct": "c", + "Explanation": "detailed solution let the area of backyard be x 2 this year and y 2 last year \u2234 x 2 - y 2 = 131 = ) ( x + y ) ( x - y ) = 131 now , 131 is a prime number ( a unique one too . check out its properties on google ) . also , always identify the prime number given in a question . might be helpful in cracking the solution . = ) ( x + y ) ( x - y ) = 131 x 1 = ) x + y = 131 x - y = 1 = ) 2 x = 132 = ) x = 66 and y = 65 \u2234 number of tomatoes produced this year = 662 = 4356 correct choice ( c )" + }, + { + "Answer": 105, + "Options": "a ) rs . 55.50 , b ) rs . 67.50 , c ) rs . 86.50 , d ) rs . 105.00 , e ) none of these", + "Correct": "d", + "Explanation": "\"solution let length = ( 3 x ) metres and breadth = ( 4 x ) metres . then , 3 x \u00d7 4 x = 10800 \u21d4 12 x 2 = 10800 \u21d4 x 2 = 900 \u21d4 x = 30 . so , length = 90 m and breadth = 120 m . perimeter = [ 2 ( 90 + 120 ) ] m = 420 m . \u2234 cost of fencing = rs . ( 0.25 \u00d7 420 ) = rs . 105.00 . answer d\"" + }, + { + "Answer": 71.99424046076314, + "Options": "a ) 41.1 sec , b ) 72 sec , c ) 31.8 sec , d ) 50.4 sec , e ) none of the above", + "Correct": "b", + "Explanation": "\"speed = 55 km / hr ( to convert km / hr in to m / s ) = 55 x 5 / 18 m / s distance = 480 m + 620 m ( if questions is about train crossing a post you need to consider only the length of train , ) = 1100 m time = distance / speed = 1100 x 18 / ( 5 x 55 ) = 72 sec ans is : b\"" + }, + { + "Answer": 10, + "Options": "a ) 10 , b ) 20 , c ) 88 , d ) 77 , e ) 14", + "Correct": "a", + "Explanation": "\"1 : 2 / 5 = 5 : 2 2 / 7 * 35 = 10 answer : a\"" + }, + { + "Answer": 4.75, + "Options": "a ) 1.5 , b ) 4.5 , c ) 4.75 , d ) 3.75 , e ) 3.5", + "Correct": "c", + "Explanation": "\"relative speed of car a is 58 - 50 = 8 miles per hour , to catch up 30 miles and drive 8 miles ahead so to drive 38 miles it ' ll need 38 / 8 = 3.5 hours . answer : c\"" + }, + { + "Answer": 33.75000000000001, + "Options": "a ) 34 kmh , b ) 40 kmh , c ) 42 kmh , d ) 44 kmh , e ) 50 kmh", + "Correct": "a", + "Explanation": "\"assume d / 3 = 720 ( this number is convenient because it is divisible by 80 , 18 and 48 ) so : 720 = 80 * t 1 = 9 hrs 720 = 18 * t 2 = 40 hrs 720 = 48 * t 3 = 15 hrs t = t 1 + t 2 + t 3 = 64 hrs d = rt ( 720 * 3 ) = r * 64 r = 33.75 answer : a\"" + }, + { + "Answer": 40, + "Options": "a ) 10 , b ) 40 , c ) 30 , d ) 20 , e ) 50", + "Correct": "b", + "Explanation": "suppose a worker remained ideal for x days then he worked for 60 - x days 20 * ( 60 - x ) - 3 x = 280 1200 - 23 x = 280 23 x = 920 x = 40 answer is b ." + }, + { + "Answer": 140, + "Options": "a ) 140 m , b ) 142 m , c ) 146 m , d ) 152 m , e ) 158 m", + "Correct": "a", + "Explanation": "explanation : d = 72 * 5 / 18 * 7 = 140 m answer : option a" + }, + { + "Answer": 49.996960243180546, + "Options": "a ) 50 , b ) 27 , c ) 29 , d ) 47 , e ) 28", + "Correct": "a", + "Explanation": "\"let the length of the train be x m . when a train crosses an electric pole , the distance covered is its own length . so , x = 12 * 36 * 5 / 18 m = 120 m . time taken to cross the platform = ( 120 + 380 ) / 36 * 5 / 18 = 50 min . answer : a\"" + }, + { + "Answer": 12, + "Options": "a ) 8 min . , b ) 10 min . , c ) 12 min . , d ) 15 min . , e ) 17 min .", + "Correct": "c", + "Explanation": "explanation : solution : new speed = 4 / 7 of the usual speed . let usual time be x . . ' . new time taken = 7 / 4 of usual time = 7 x / 4 so , ( 7 x / 4 ) - x = 9 min . = > 3 x = 36 = > x = 12 min . answer : c" + }, + { + "Answer": 84, + "Options": "a ) 69 miles , b ) 84 miles , c ) 96 miles , d ) 100 miles , e ) 112 miles", + "Correct": "b", + "Explanation": "\"upstream speed = 20 - 8 = 12 mph downstream speed = 20 + 8 = 28 mph d / 12 + d / 28 = 10 hours solving for d we get d = 84 answer : b\"" + }, + { + "Answer": 32, + "Options": "a ) 34 , b ) 36 , c ) 32 , d ) 40 , e ) 44", + "Correct": "c", + "Explanation": "\"man - hours required to asphalt 1 km road = 30 * 12 * 8 = 2880 man - hours required to asphalt 2 km road = 2880 * 2 = 5760 man - hours available per day = 20 * 9 = 180 therefore number of days = 5760 / 180 = 32 days ans = c\"" + }, + { + "Answer": 260, + "Options": "a ) 120 metres , b ) 180 metres , c ) 260 metres , d ) 150 metres , e ) 100 meters", + "Correct": "c", + "Explanation": "\"speed = 52 x 5 / 18 m / sec = 130 / 9 m / sec . length of the train = ( speed x time ) . length of the train = 130 / 9 x 18 m = 260 m . answer : c\"" + }, + { + "Answer": 2750, + "Options": "a ) 2750 , b ) 2850 , c ) 2950 , d ) 3050 , e ) 3150", + "Correct": "a", + "Explanation": "\"speed = ( 300 x ( 5 / 18 ) m / sec = ( 250 / 3 ) m / sec . length of the train = ( speed x time ) . length of the train = ( ( 250 / 3 ) x 33 ) m = 2750 m a\"" + }, + { + "Answer": 9.00225056264066, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 9", + "Correct": "e", + "Explanation": "\"explanation : let the required number of men be x . less days , more men ( indirect proportion ) more working hrs per day , less men ( indirect proportion ) days 8 : 10 working hrs 13.33 : 8 : : 12 : x = > 8 x 13.33 x x = 10 x 8 x 12 = > x = 10 x 8 x 12 / ( 8 x 13.33 ) = > x = 9 answer : e\"" + }, + { + "Answer": 712.5, + "Options": "a ) 700 m , b ) 720 m , c ) 712 m , d ) 600 m , e ) 640 m", + "Correct": "c", + "Explanation": "distance covered by amar = 15 / 40 ( 1.9 km ) = 3 / 8 ( 1900 ) = 712 m answer : c" + }, + { + "Answer": 52.00000000000001, + "Options": "a ) 30 sec , b ) 32 sec , c ) 36 sec , d ) 38 sec , e ) 52 sec", + "Correct": "e", + "Explanation": "\"relative speed = ( 25 + 2 ) km / hr = 27 km / hr = ( 27 \u00d7 5 / 18 ) m / sec = 15 / 2 m / sec . time taken by the train to pass the man = ( 390 \u00d7 2 / 15 ) sec = 52 sec answer : e\"" + }, + { + "Answer": 1800, + "Options": "a ) 180 , b ) 1800 , c ) 18 , d ) 18000 , e ) 1.8", + "Correct": "b", + "Explanation": "\"area of the hall = 3600 * 1500 area of each stone = ( 60 * 50 ) therefore , number of stones = ( 3600 * 1500 / 60 * 50 ) = 1800 answer : b\"" + }, + { + "Answer": 40, + "Options": "a ) 32 , b ) 36 , c ) 40 , d ) 44 , e ) 48", + "Correct": "c", + "Explanation": "\"let t = usual time = distance / usual speed t + 10 = distance / ( 4 * usual speed / 5 ) = ( 5 * distance ) / ( 4 * usual speed ) = 5 t / 4 t = 40 the answer is c .\"" + }, + { + "Answer": 2.1333333333333333, + "Options": "a ) 32 / 15 , b ) 3 / 8 , c ) 8 / 5 , d ) 5 / 8 , e ) 5 / 3", + "Correct": "a", + "Explanation": "\"distance traveled by eddy = 480 km time taken by eddy = 3 hours average speed of eddy = 480 / 3 = 160 km / hour distance traveled by freddy = 300 km time taken by freddy = 4 hours average speed of freddy = 300 / 4 = 75 km / hour ratio of average speed of eddy to freddy = 160 / 75 = 32 / 15 answer a\"" + }, + { + "Answer": 8, + "Options": "a ) 16 days , b ) 12 days , c ) 8 days , d ) 6 days , e ) 18 days", + "Correct": "c", + "Explanation": "\"answer ram takes 24 days to complete the task , if he works alone . krish is twice as efficient as ram is . so , working alone , krish will take half the time to complete the task . i . e . , 12 days . ram will complete 1 / 24 th of the task in a day . krish will complete 1 / 12 th of the task in a day . when they work together , they will complete 1 / 24 + 1 / 12 = 1 / 8 th of the task in a day . therefore , when they work together they will complete the task in 8 days . choice c\"" + }, + { + "Answer": 36, + "Options": "a ) 36 kmph , b ) 40 kmph , c ) 42 kmph , d ) 45 kmph , e ) 38 kmph", + "Correct": "a", + "Explanation": "\"length = speed * time speed = l / t s = 400 / 40 s = 10 m / sec speed = 10 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 36 kmph answer : a\"" + }, + { + "Answer": 90, + "Options": "a ) 90 sec , b ) 190 sec , c ) 290 sec , d ) 490 sec , e ) 390 sec", + "Correct": "a", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 10 ) / 100 = 100 sec . time taken by a = 100 - 10 = 90 sec . answer : a\"" + }, + { + "Answer": 14400, + "Options": "a ) 480 , b ) 14,400 , c ) 24,200 , d ) 28,800 , e ) 48,000", + "Correct": "b", + "Explanation": "\"seconds in 1 hours : 60 s in 1 min 60 min in 1 hr 60 * 60 = 3600 sec in 1 hr 4 * 3600 = 14,400 answer : b\"" + }, + { + "Answer": 19, + "Options": "a ) 10 , b ) 13 , c ) 14 , d ) 15 , e ) 19", + "Correct": "e", + "Explanation": "\"according to the chain rule , m 1 x t 1 = m 2 x t 2 therefore , 57 x 12 x 5 = 30 x 6 x x x = 19 hence , the number of days = 19 . answer : e\"" + }, + { + "Answer": 17.90493109783823, + "Options": "a ) 18 , b ) 750 , c ) 24 , d ) 120 , e ) none of these", + "Correct": "a", + "Explanation": "\"circumference of circular bed = 30 cm area of circular bed = ( 30 ) 2 \u2044 4 \u03c0 space for each plant = 4 cm 2 \u2234 required number of plants = ( 30 ) 2 \u2044 4 \u03c0 \u00f7 4 = 17.89 = 18 ( approx ) answer a\"" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 22 1 / 4 , c ) 22 1 / 2 , d ) 22 1 / 1 , e ) 22 1 / 3", + "Correct": "a", + "Explanation": "\"100 - - - 10 ds = 10 ? - - - - 1 60 - - - - 15 us = 4 ? - - - - - 1 s = ( 10 - 4 ) / 2 = 3 kmp answer : a\"" + }, + { + "Answer": 1, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 1", + "Correct": "e", + "Explanation": "\"39 = 15 + 18 + 12 - 4 - 2 x 2 x = 15 + 18 + 12 - 4 - 39 = 41 - 39 = 2 x = 1 e\"" + }, + { + "Answer": 30, + "Options": "['a ) 20', 'b ) 60', 'c ) 80', 'd ) 30', 'e ) 45']", + "Correct": "d", + "Explanation": "2 * 5 * 3 = 30 answer : d" + }, + { + "Answer": 53.33333333333335, + "Options": "a ) 53.3 , b ) 53.8 , c ) 53.7 , d ) 53.5 , e ) 353.3", + "Correct": "a", + "Explanation": "use the formula , final alcohol = initial alcohol \u00d7 ( 1 \u2212 replacementquantityfinalvolume ) n \u00d7 ( 1 \u2212 replacementquantityfinalvolume ) n final alcohol = 180 ( 1 \u2212 60180 ) 3180 ( 1 \u2212 60180 ) 3 = 180 \u00d7 ( 23 ) 3 = 53.3 ans : a" + }, + { + "Answer": 325, + "Options": "a ) 125 miles , b ) 225 miles , c ) 325 miles , d ) 425 miles , e ) 525 miles", + "Correct": "c", + "Explanation": "\"during each hour , the car travels 65 miles . for 5 hours it will travel 65 + 65 + 65 + 65 + 65 = 5 \u00d7 65 = 325 miles correct answer is c ) 325 miles\"" + }, + { + "Answer": 75, + "Options": "a ) 228 , b ) 108 , c ) 1266 , d ) 75 , e ) 211", + "Correct": "d", + "Explanation": "\"s = 250 / 12 * 18 / 5 = 75 kmph answer : d\"" + }, + { + "Answer": 7, + "Options": "a ) 7 meters , b ) 9 meters , c ) 8 meters , d ) 5 meters , e ) 3 meters", + "Correct": "a", + "Explanation": "\"400 rev / minute = 400 * 60 rev / 60 minutes = 24,000 rev / hour 24,000 * c = 168,000 m : c is the circumference c = 3 meters correct answer a\"" + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 18 , c ) 6 , d ) 1 , e ) 2", + "Correct": "a", + "Explanation": "explanation : more number of days means more length , more depth and more width . hence , its a direct proportion . ( 100 * 25 * 30 ) : ( 75 * 20 * 50 ) : : 12 : x 75000 : 75000 : : 12 : x x = 12 answer : a" + }, + { + "Answer": 0.4444444444444444, + "Options": "a ) 1 / 6 , b ) 4 / 9 , c ) 1 / 4 , d ) 5 / 9 , e ) 1 / 3", + "Correct": "b", + "Explanation": "\"rate of the small pump is 1 / 4 tank / hour rate of the larger pump is 1 / ( 1 / 2 ) or 2 tank / hour ; combined rate of the two pumps is 1 / 4 + 2 = 9 / 4 tank / hour , together they will fill the empty tank in 1 / ( 9 / 4 ) ) = 4 / 9 hours ( time = job / rate ) . answer : b\"" + }, + { + "Answer": 4.5, + "Options": "a ) 5 minutes , b ) 6 minutes , c ) 8 minutes , d ) 9 / 2 minutes , e ) 10 minutes", + "Correct": "d", + "Explanation": "\"let ' s say the distance between the buses is d . we want to determine interval = \\ frac { d } { b } , where b is the speed of bus . let the speed of cyclist be c . every 9 minutes a bus overtakes cyclist : \\ frac { d } { b - c } = 9 , d = 9 b - 9 c ; every 3 minutes cyclist meets an oncoming bus : \\ frac { d } { b + c } = 3 , d = 3 b + 3 c ; d = 9 b - 9 c = 3 b + 3 c , - - > b = 2 c , - - > d = 9 b - 9 b / 2 = 9 b / 2 . interval = \\ frac { d } { b } = \\ frac { 9 / 2 b } { b } = 9 / 2 answer : d ( 9 / 2 minutes ) .\"" + }, + { + "Answer": 270.0416, + "Options": "a ) 230 m , b ) 240 m , c ) 260 m , d ) 270 m , e ) none of the above", + "Correct": "d", + "Explanation": "\"speed = ( 72 x ( 5 / 18 ) ) m / sec = 20 m / sec . time = 26 sec . let the length of the train be x metres . then , ( ( x + 250 ) / 26 ) = 20 x + 250 = 520 x = 270 . d\"" + }, + { + "Answer": 90, + "Options": "a ) 90 , b ) 60 , c ) 120 , d ) 180 , e ) 360", + "Correct": "a", + "Explanation": "\"length = speed * time speed = l / t s = 2500 / 100 s = 25 m / sec speed = 25 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 90 kmph answer : a\"" + }, + { + "Answer": 83.99280057595394, + "Options": "a ) 54 kmph , b ) 60 kmph , c ) 66 kmph , d ) 72 kmph , e ) 84 kmph", + "Correct": "e", + "Explanation": "\"speed of train relative to man : 150 / 6 * 18 / 5 km / hr = 90 km / hr let speed of train = x therefore x + 6 = 90 x = 90 - 6 x = 84 km / hr answer : e\"" + }, + { + "Answer": 4, + "Options": "a ) 4 hrs , b ) 4.5 hrs , c ) 5.4 hrs , d ) 6 hrs . , e ) none of these", + "Correct": "a", + "Explanation": "explanation : solution : distance traveled by the thief in 1 hr . = 20 km . total distance of them after 1 hr = ( 60 + 20 ) km = 80 km . their relative speed = ( 40 - 20 ) = 20 km / hr . time taken to catch the thief = 80 / 20 = 4 hrs . answer : a" + }, + { + "Answer": 85, + "Options": "a ) 21 , b ) 28 , c ) 90 , d ) 85 , e ) 11", + "Correct": "d", + "Explanation": "\"explanation : sp of 1 m of cloth = 8925 / 85 = rs . 105 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 105 - rs . 20 = rs . 85 . answer : d\"" + }, + { + "Answer": 16.668, + "Options": "a ) 10 mps , b ) 16.67 mps , c ) 97.67 mps , d ) 17.67 mps , e ) 18 mps", + "Correct": "b", + "Explanation": "\"60 * 5 / 18 = 16.67 mps answer : b\"" + }, + { + "Answer": 35.99712023038157, + "Options": "a ) 25 , b ) 30 , c ) 40 , d ) 45 , e ) 36", + "Correct": "e", + "Explanation": "\"explanation : speed of train relatively to man = ( 46 - 6 ) km / hr = 40 km / hr = ( 40 x 5 / 18 ) m / sec = 11.11 m / sec time taken to pass the man = ( 400 / 11.11 ) sec = 36 sec . answer : e\"" + }, + { + "Answer": 60, + "Options": "a ) 60 , b ) 72 , c ) 72.5 , d ) 73 , e ) 73.5", + "Correct": "a", + "Explanation": "\"many approaches are possible , one of them : let the distance be 1 kilometer . time to cover this distance at 75 kilometers per hour is 1 / 75 hours = 3,600 / 75 seconds = 48 seconds ; time to cover this distance at regular speed is 48 + 12 = 60 seconds = 60 / 3,600 hours = 1 / 60 hours ; so , we get that to cover 1 kilometer 1 / 60 hours is needed - - > regular speed 60 kilometers per hour ( rate is a reciprocal of time or rate = distance / time ) . answer : a\"" + }, + { + "Answer": 195.3125, + "Options": "a ) 205 , b ) 200 , c ) 180 , d ) 195 , e ) 175", + "Correct": "d", + "Explanation": "\"explanation : let the required number of seconds be x more cloth , more time , ( direct proportion ) hence we can write as ( cloth ) 0.128 : 25 : : 1 : x \u21d2 0.128 x = 25 \u21d2 x = 25 / 0.128 = 25000 / 128 = 3125 / 16 \u2248 195 answer : option d\"" + }, + { + "Answer": 41.9966402687785, + "Options": "a ) 48 , b ) 36 , c ) 42 , d ) 11 , e ) 18", + "Correct": "c", + "Explanation": "\"explanation : here distance d = 700 mts speed s = 63 - 3 = 60 kmph = 60 x 5 / 18 m / s time t = = 42 sec . answer : c\"" + }, + { + "Answer": 4.800000000000001, + "Options": "a ) 4.1 days , b ) 4.8 days , c ) 3.8 days , d ) 2.8 days , e ) 4.5 days", + "Correct": "b", + "Explanation": "4 / 8 + 6 / x = 1 = > x = 12 1 / 8 + 1 / 12 = 5 / 24 = > 4.8 days answer : b" + }, + { + "Answer": 1, + "Options": "a ) 1 kmph , b ) 2 kmph , c ) 3 kmph , d ) 2.5 kmph , e ) 3.5 kmph", + "Correct": "a", + "Explanation": "rate upstream = ( 1 / 20 * 60 ) = 3 kmph rate dowm stream = 1 / 12 * 60 = 5 kmph rate of the current = \u00bd ( 5 - 3 ) = 1 kmph answer : a" + }, + { + "Answer": 34, + "Options": "a ) 34 days , b ) 40 days , c ) 46 days , d ) 50 days , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : less cows , more days ( indirect proportion ) less bags , less days ( direct proportion ) [ cows 1 34 bags 34 1 ] : : 34 : x = > x \u2217 34 \u2217 1 = 34 \u2217 1 \u2217 34 = > x = 34 option a\"" + }, + { + "Answer": 33, + "Options": "a ) 51 , b ) 64 , c ) 11 , d ) 22 , e ) 33", + "Correct": "e", + "Explanation": "\"speed of train relative to man = ( 60 + 6 ) km / hr = 66 km / hr [ 66 * 5 / 18 ] m / sec = [ 55 / 3 ] m / sec . time taken to pass the man = [ 605 * 3 / 55 ] sec = 33 sec answer : e\"" + }, + { + "Answer": 36, + "Options": "a ) 12 , b ) 18 , c ) 20 , d ) 24 , e ) 36", + "Correct": "e", + "Explanation": "\"if it takes 4 more minutes for a to print 40 pages than it takes b , it takes 5 more minutes for a to print 50 pages than it takes b . thus if b is the number of minutes than b takes to print 50 pages , we can write : 1 / b + 1 / ( b + 5 ) = 1 / 6 ( since in 1 minute , they print 1 / 6 th of the 50 page job ) 6 ( 2 b + 5 ) = b ( b + 5 ) b ^ 2 - 7 b - 30 = 0 ( b - 10 ) ( b + 3 ) = 0 b = 10 thus it takes a 15 minutes to print 50 pages and 15 * 120 / 50 = 36 minutes to print 120 pages ( answer e )\"" + }, + { + "Answer": 39.014778325123146, + "Options": "a ) 39 kmh , b ) 40 kmh , c ) 42 kmh , d ) 44 kmh , e ) 50 kmh", + "Correct": "a", + "Explanation": "\"assume d / 3 = 2640 ( this number is convenient because it is divisible by 80 , 24 and 44 ) so : 2640 = 80 * t 1 = 33 hrs 2640 = 24 * t 2 = 110 hrs 2640 = 44 * t 3 = 60 hrs t = t 1 + t 2 + t 3 = 203 hrs d = rt ( 2640 * 3 ) = r * 203 r = 39 answer : a\"" + }, + { + "Answer": 15, + "Options": "a ) 35 m , b ) 45 m , c ) 30 m , d ) 15 m , e ) 25 m", + "Correct": "d", + "Explanation": "let it forms a right angled triangle and follow c ^ 2 = a ^ 2 + b ^ 2 then 25 ^ 2 = 20 ^ 2 + b ^ 2 b ^ 2 = 625 - 400 b = 15 answer : d" + }, + { + "Answer": 2, + "Options": "a ) 11 : 5 , b ) 11 : 8 , c ) 13 : 7 , d ) 15 : 7 , e ) 2 : 1", + "Correct": "e", + "Explanation": "\"sol . distance travelled by car a = 70 \u00d7 10 = 700 km distance travelled by car b = 35 \u00d7 10 = 350 km ratio = 700 / 350 = 2 : 1 answer : e\"" + }, + { + "Answer": 98, + "Options": "a ) 105 , b ) 120 , c ) 140 , d ) 147 , e ) 98", + "Correct": "e", + "Explanation": "\"car y began travelling after 72 minutes or 1.2 hours . let t be the time for which car y travelled before it stopped . both cars stop when they have travelled the same distance . so , 35 ( t + 1.2 ) = 50 t t = 2.8 distance travelled by car x from the time car y began traveling until both cars stopped is 35 x 2.8 = 98 miles answer : - e\"" + }, + { + "Answer": 6, + "Options": "a ) 10 , b ) 6 , c ) 77 , d ) 55 , e ) 21", + "Correct": "b", + "Explanation": "1 / 4 \u2013 1 / 12 = 1 / 6 = > 6 answer : b" + }, + { + "Answer": 2.8000000000000003, + "Options": "a ) 2.8 , b ) 1 , c ) 3.5 , d ) 14 , e ) 1.6", + "Correct": "a", + "Explanation": "first set up a ratio with all the relevant values and also the unknown variable : 2 * 7 = 5 * x now solve by multiplying 2 by 7 and then dividing that product by 5 : 2 * 7 = 14 14 / 5 = x x = 2.8 the value of x represents the amount of days a bot of beef stew will last for 5 total people . answer : a" + }, + { + "Answer": 1, + "Options": "a ) 1 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "a", + "Explanation": "\"m = 12 s = 2 us = 12 - 2 = 10 d = 10 t = 10 / 10 = 1 answer : a\"" + }, + { + "Answer": 135, + "Options": "a ) 135 , b ) 278 , c ) 255 , d ) 150 , e ) 287", + "Correct": "a", + "Explanation": "\"speed = ( 54 * 5 / 18 ) m / sec = ( 15 ) m / sec length of the train = ( speed x time ) = ( 15 * 9 ) m = 135 m . answer : a\"" + }, + { + "Answer": 7, + "Options": "a ) 7 , b ) 7.67 , c ) 8.75 , d ) 8.98 , e ) 8.28", + "Correct": "a", + "Explanation": "\"( 4 * 3.5 ) / 2 = 7 answer : a\"" + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 1 , b ) 3 , c ) 4 , d ) 6 , e ) 9", + "Correct": "d", + "Explanation": "\"let total time taken by s to complete the job = s total time taken by a to complete the job = 12 work done by a in an hour 1 / a = 1 / 12 working together a and d can complete the job in 4 hours 1 / a + 1 / d = 1 / 4 = > 1 / d = 1 / 4 - 1 / 12 = 1 / 4 - 1 / 12 = 1 / 6 = > d = 6 hours answer d\"" + }, + { + "Answer": 1, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "a", + "Explanation": "\"the distance traveled by ferry p is 18 km . then the distance traveled by ferry q is 36 km . ferry q travels at a speed of 9 kph . the time of the journey for ferry q is 36 / 9 = 4 hours , which is 1 hour more than ferry p . the answer is a .\"" + }, + { + "Answer": 42.35294117647059, + "Options": "a ) 36 kmh , b ) 40 kmh , c ) 42 kmh , d ) 44 kmh , e ) 50 kmh", + "Correct": "c", + "Explanation": "\"assume d / 3 = 240 ( this number is convenient because it is divisible by 80 , 24 and 60 ) so : 240 = 80 * t 1 = 3 hrs 240 = 24 * t 2 = 10 hrs 240 = 60 * t 3 = 4 hrs t = t 1 + t 2 + t 3 = 17 hrs d = rt ( 240 * 3 ) = r * 17 r = 42.35 answer : c\"" + }, + { + "Answer": 368, + "Options": "a ) 124 , b ) 256 , c ) 368 , d ) 424 , e ) 512", + "Correct": "c", + "Explanation": "\"46 / 4 = 11.5 gallons 11.5 * 32 = 368 miles the answer is c .\"" + }, + { + "Answer": 109, + "Options": "a ) 198 mph , b ) 110 mph , c ) 88 mph , d ) 100 mph , e ) 109 mph", + "Correct": "e", + "Explanation": "\"( 130 mph + 88 mph ) / 2 = 109 mph correct answer is : e\"" + }, + { + "Answer": 33, + "Options": "a ) 40 sec , b ) 47 sec , c ) 33 sec , d ) 35 sec , e ) none of these", + "Correct": "c", + "Explanation": "\"solution b runs 35 m in 7 sec . \u2234 b covers 200 m in ( 7 / 35 x 200 ) = 40 sec b \u2019 s time over the course = 40 sec . \u2234 a \u2019 s time over the course = ( 40 - 7 ) sec = 33 sec answer c\"" + }, + { + "Answer": 9, + "Options": "a ) 12 sec , b ) 9 sec , c ) 16 sec , d ) 20 sec , e ) none", + "Correct": "b", + "Explanation": "\"sol . speed = ( 108 x 5 / 18 ) m / sec . = 30 m / sec . time taken = ( 270 x 1 / 30 ) sec = 9 sec answer b\"" + }, + { + "Answer": 300.03999999999996, + "Options": "a ) 210 m , b ) 300 m , c ) 230 m , d ) 240 m , e ) 250 m", + "Correct": "b", + "Explanation": "\"relative speeds = ( 120 + 80 ) km / hr = 200 km / hr = ( 200 * 5 / 18 ) m / s = ( 500 / 9 ) m / s let length of train be xm x + 200 / 9 = 500 / 9 x = 300 ans is 300 m answer : b\"" + }, + { + "Answer": 10, + "Options": "a ) 8 , b ) 9 , c ) 9.5 , d ) 10 , e ) 11", + "Correct": "d", + "Explanation": "so , she works 30 hours in 3 days so , she works 16 hours in 2 days so in a week she works 46 hours ( 30 + 16 ) and earns $ 460 so , hourly wage is 460 / 46 = > 10 hence answer will be ( d ) 10" + }, + { + "Answer": 118, + "Options": "a ) 118 , b ) 88 , c ) 90 , d ) 42 , e ) 22", + "Correct": "a", + "Explanation": "\"sp of 1 m of cloth = 8925 / 85 = rs . 125 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 125 - rs . 7 = rs . 118 answer : a\"" + }, + { + "Answer": 1.5, + "Options": "a ) 0.9 , b ) 1.2 , c ) 1.5 , d ) 1.8 , e ) 2.1", + "Correct": "c", + "Explanation": "\"72 km / hr = 1.2 km / min the total distance is 1.8 km . 1.8 / 1.2 = 1.5 minutes the answer is c .\"" + }, + { + "Answer": 8, + "Options": "a ) 22 days , b ) 8 days , c ) 67 days , d ) 1 days , e ) 18 days", + "Correct": "b", + "Explanation": "\"c = 1 / 2 - 1 / 4 - 1 / 8 = 1 / 8 = > 8 days answer : b\"" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 4.2 , c ) 3.4 , d ) 5.5 , e ) 5.7", + "Correct": "a", + "Explanation": "\"72 km / hr = 1.2 km / min the total distance is 3.6 km . 3.6 / 1.2 = 3 minutes the answer is a .\"" + }, + { + "Answer": 6.666133375996587, + "Options": "a ) 2.5 , b ) 2.9 , c ) 6.67 , d ) 2.8 , e ) 2.1", + "Correct": "c", + "Explanation": "\"speed = 54 * 5 / 18 = 15 m / sec time taken = 100 / 15 = 6.67 sec . answer : c\"" + }, + { + "Answer": 200, + "Options": "a ) 266 sec , b ) 200 sec , c ) 776 sec , d ) 166 sec , e ) 997 sec", + "Correct": "b", + "Explanation": "\"l = s * t s = 1200 / 120 s = 10 m / sec . total length ( d ) = 2000 m t = d / s t = 2000 / 10 t = 200 sec answer : b\"" + }, + { + "Answer": 20, + "Options": "a ) 15 hrs , b ) 18 hrs , c ) 20 hrs , d ) 17 hrs , e ) 16 hrs", + "Correct": "c", + "Explanation": "\"if monkey hops 3 ft and slips back 2 ft in a hour , it means the monkey hops ( 3 ft - 2 ft ) = 1 ft / hr . similarly in 19 hrs it wil be 19 ft . bt since the height of the tree is 22 ft , so if the monkey hops up the tree in the next hr i . e 20 th hr then it reaches at the top of the tree . hence it takes 20 hrs for monkey to reach at the top answer : c\"" + }, + { + "Answer": 5, + "Options": "a ) 8 mph , b ) 5.25 mph , c ) 3.5 mph , d ) 5 mph , e ) 0.5 mph", + "Correct": "d", + "Explanation": "\"( 1 mph + 9 mph ) / 2 = 5 mph correct option is : d\"" + }, + { + "Answer": 1, + "Options": "a ) 0.1 , b ) 0.6 , c ) 1 , d ) 1.2 , e ) 2", + "Correct": "c", + "Explanation": "\"option c 20 + 30 t = 50 t t = 1\"" + }, + { + "Answer": 65, + "Options": "a ) 65 , b ) 38 , c ) 20 , d ) 28 , e ) 21", + "Correct": "a", + "Explanation": "answer : a ) 65 km" + }, + { + "Answer": 75, + "Options": "a ) 75 kmph , b ) 65 kmph , c ) 30 kmph , d ) 73 kmph , e ) 65 kmph", + "Correct": "a", + "Explanation": "us = 60 ds = 90 m = ( 60 + 90 ) / 2 = 75 answer : a" + }, + { + "Answer": 130, + "Options": "a ) 130 m , b ) 786 m , c ) 566 m , d ) 546 m , e ) 440 m", + "Correct": "a", + "Explanation": "\"speed = 52 * 5 / 18 = 130 / 9 m / sec length of the train = speed * time = 130 / 9 * 9 = 130 m answer : a\"" + }, + { + "Answer": 4.5, + "Options": "a ) 3.5 gallons , b ) 2.7 gallons , c ) 5.7 gallons , d ) 4.5 gallons , e ) 7.5 gallons", + "Correct": "d", + "Explanation": "\"each 40 kilometers , 1 gallon is needed . we need to know how many 40 kilometers are there in 180 kilometers ? 180 \u00f7 40 = 4.5 \u00d7 1 gallon = 4.5 gallons correct answer is d ) 4.5 gallons\"" + }, + { + "Answer": 195, + "Options": "a ) 104 kmph , b ) 195 kmph , c ) 109 kmph , d ) 174 kmph , e ) 101 kmph", + "Correct": "b", + "Explanation": "\"624 / 3 1 / 5 = 195 kmph answer : b\"" + }, + { + "Answer": 36000, + "Options": "a ) 6000 , b ) 36000 , c ) 60000 , d ) 600 , e ) 3600", + "Correct": "b", + "Explanation": "to calculate the equivalent of miles in a kilometer 0.6 kilometers = 1 mile 1000 kilometers = ( 0.6 ) * 1000 = 600 miles speed in miles per minute = 600 = 600 1 hour = 60 minutes speed in miles per hour = 600 * 60 = 36,000 correct answer - b" + }, + { + "Answer": 350, + "Options": "a ) 388 , b ) 266 , c ) 350 , d ) 112 , e ) 134", + "Correct": "c", + "Explanation": "speed = [ 300 / 18 ] m / sec = 50 / 3 m / sec . let the length of the platform be x meters . then , x + 300 / 39 = 50 / 3 3 ( x + 300 ) = 1950 \u00e8 x = 350 m . answer : c" + }, + { + "Answer": 10, + "Options": "a ) 8 am , b ) 10 am , c ) 11 am , d ) 12 am , e ) 14 am", + "Correct": "b", + "Explanation": "after t hours the distances d 1 and d 2 , in miles per hour , traveled by the two cars are given by d 1 = 40 t and d 2 = 50 t after t hours the distance d separating the two cars is given by d = d 1 + d 2 = 40 t + 50 t = 90 t distance d will be equal to 450 miles when d = 90 t = 450 miles t = 5 hours . 5 am + 5 hours = 10 am answer : b" + }, + { + "Answer": 12, + "Options": "a ) 10 days , b ) 11 days , c ) 12 days , d ) 15 days , e ) 17 days", + "Correct": "c", + "Explanation": "\"8 men = 12 women ( i . e 2 men = 3 women ) 12 women 1 day work = 1 / 20 soln : 6 men ( 9 women ) + 11 women = 20 women = ? 1 women 1 day work = 12 * 20 = 1 / 240 so , 20 women work = 20 / 240 = 1 / 12 ans : 12 days answer : c\"" + }, + { + "Answer": 2.0000000000000004, + "Options": "a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "a", + "Explanation": "explanation : 3 man 1 day work = 1616 3 man 2 days work = 2626 remaining work = ( 1 \u2013 2626 ) = 2 / 3 parts . 6 man together perform the work in 1 day is = 1616 + 1616 = 2626 parts 2626 parts completed in 1 day 2323 parts will b completed in 2 days answer : a" + }, + { + "Answer": 42.01032920202101, + "Options": "a ) 26 , b ) 48 , c ) 98 , d ) 37 , e ) 42", + "Correct": "e", + "Explanation": "\"36 / 7 r = 216 = > r = 42 answer : e\"" + }, + { + "Answer": 40, + "Options": "a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50", + "Correct": "c", + "Explanation": "speed = 45 km / hr = 45 \u00d7 5 / 18 = 25 / 2 m / s distance travelled = ( speed x time ) time = ( distance travelled / speed ) distance travelled = length of the train + length of the platform = 360 + 140 = 500 m = 500 / 25 / 2 = 40 sec answer : c" + }, + { + "Answer": 400, + "Options": "a ) 287 , b ) 350 , c ) 828 , d ) 277 , e ) 400", + "Correct": "e", + "Explanation": "\"speed = 300 / 18 = 50 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 42 = 50 / 3 3 x + 900 = 2200 = > x = 400 m . answer : e\"" + }, + { + "Answer": 62.268120235368556, + "Options": "a ) 40 , b ) 54 , c ) 62 , d ) 70 , e ) 80", + "Correct": "c", + "Explanation": "\"let speed of car r be = x then speed of car p = x + 10 a / q , ( 900 / x ) - ( 900 / ( x + 10 ) ) = 2 solving for x = 62 miles \\ hr . c\"" + }, + { + "Answer": 23.998080153587715, + "Options": "a ) 20 , b ) 30 , c ) 40 , d ) 24 , e ) 60", + "Correct": "d", + "Explanation": "\"speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 400 * 3 / 50 = 24 sec . answer : option d\"" + }, + { + "Answer": 15, + "Options": "a ) 15 women , b ) 85 women , c ) 75 women , d ) 65 women , e ) 35 women", + "Correct": "a", + "Explanation": "\"1 man ' s 1 day work = 1 / 48 ; 1 woman ' s 1 day work = 1 / 60 . 6 men ' s 2 day ' s work = 6 / 48 * 2 = 1 / 4 . remaining work = ( 1 - 1 / 4 ) = 3 / 4 now , 1 / 60 work is done in 1 day by 1 woman . so , 3 / 4 work will be done in 3 days by ( 60 * 3 / 4 * 1 / 3 ) = 15 women . answer : a\"" + }, + { + "Answer": 21.81818181818182, + "Options": "a ) 11 , b ) 15 , c ) 22 , d ) 18 , e ) 25", + "Correct": "c", + "Explanation": "\"let the speed of motor boat instill water be x kmph then , speed in downstream = ( x + 2 ) km and . speed in upstream = ( x - 2 ) kmph time taken to row 10 km & back = ( 10 / x + 2,10 / x - 2 ) 10 / x + 2 + 10 / x - 2 = 55 / 60 11 x 2 - 240 x - 44 = 0 ( x - 22 ) ( 11 x + 2 ) = 0 x = 22 or x = - 2 / 11 then x = 22 kmph answer is c .\"" + }, + { + "Answer": 18, + "Options": "a ) 19 kmph , b ) 18 kmph , c ) 72 kmph , d ) 17 kmph , e ) 91 kmph", + "Correct": "b", + "Explanation": "\"length = speed * time speed = l / t s = 100 / 20 s = 5 m / sec speed = 5 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 18 kmph answer : b\"" + }, + { + "Answer": 3.5, + "Options": "a ) 3.5 , b ) 4.5 , c ) 5 , d ) 9 , e ) 6", + "Correct": "a", + "Explanation": "\"m = 6 s = 2 us = 6 - 2 = 4 d = 42 t = 14 / 4 = 3.5 answer : a\"" + }, + { + "Answer": 8, + "Options": "a ) 5 m / s , b ) 8 m / s , c ) 9 m / s , d ) 4 m / s , e ) 2 m / s", + "Correct": "b", + "Explanation": "b 8 m / s since a beats b by 200 m or 25 seconds , i t implies that b covers 200 m in 25 seconds . hence speed of b = 200 / 25 = 8 m / s ." + }, + { + "Answer": 24, + "Options": "a ) 32 km , b ) 25 km , c ) 28 km , d ) 24 km , e ) 20 km", + "Correct": "d", + "Explanation": "let the distance between a and b be x km . total time = x / ( 10 + 2 ) + x / ( 10 - 2 ) = 5 = > x / 12 + x / 8 = 5 = > ( 2 x + 3 x ) / 24 = 5 = > x = 24 km . answer : d" + }, + { + "Answer": 41.9966402687785, + "Options": "a ) 23 sec , b ) 30 sec , c ) 27 sec , d ) 36 sec , e ) 42 sec", + "Correct": "e", + "Explanation": "\"speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 700 * 3 / 50 = 42 sec . answer : e\"" + }, + { + "Answer": 0.3157894736842105, + "Options": "a ) 19 / 60 , b ) 9 / 60 , c ) 2 / 3 , d ) 5 / 18 , e ) 6 / 24", + "Correct": "a", + "Explanation": "explanation : 3 men reap 1 / 10 field in 1 day 1 man reap 1 / ( 3 x 10 ) 4 women reap 1 / 10 field in 1 day 1 woman reap 1 / ( 10 x 4 ) 5 men and 6 women reap ( 5 / ( 3 x 10 ) + 6 / ( 4 x 10 ) ) = 19 / 60 in 1 day 5 men and 6 women will reap the field in 19 / 60 days answer : option a" + }, + { + "Answer": 1, + "Options": "a ) 40 minutes . , b ) 1 hour and 30 minutes . , c ) 1 hour . , d ) 1 hour and 40 minutes . , e ) 2 hours and 15 minutes .", + "Correct": "c", + "Explanation": "rate = output / time qames rate = 25 / 20 = 5 / 4 dylan rate = 25 / 60 = 5 / 12 combined rate = 5 / 4 + 5 / 12 = 20 / 12 combinedrate * combinedtime = combinedoutput 20 / 12 * t = 150 t = 90 mins = > 1 hr 30 min" + }, + { + "Answer": 24, + "Options": "a ) 16 days , b ) 24 days , c ) 36 days , d ) 48 days , e ) 58 days", + "Correct": "b", + "Explanation": "let the total work be 48 units . ajay and balu \u2019 s one day work = 48 / 12 = 4 units . balu and charan \u2019 s one day work = 48 / 16 = 3 units . ajay \u2019 s one day work = 4 - balu \u2019 s one day work . balu \u2019 s one day work = 3 - charan \u2019 s one day work . therefore , ajay \u2019 s one day work = 1 + charan \u2019 s one day work . also given , 5 x ajay \u2019 s one day work + 7 x balu \u2019 s one day work + 13 x charan \u2019 s one day work = 48 equating all the equations formed , we get charan \u2019 s one day work is 2 units . hence , charan can finish the whole work in 48 / 2 = 24 days . answer : b" + }, + { + "Answer": 55, + "Options": "a ) 57 , b ) 57.5 , c ) 58.2 , d ) 59 , e ) 55", + "Correct": "e", + "Explanation": "the total distance is 1 \u00d7 40 + 3 \u00d7 60 = 220 and the total time is 4 hours . hence , average speed = ( total distance / total time ) = 220 / 4 = 55 answer : e" + }, + { + "Answer": 14, + "Options": "a ) 2 , b ) 8 , c ) 9 , d ) 14 , e ) 24", + "Correct": "d", + "Explanation": "explanation : total hours worked = 8 x 3 + 6 x 2 = 36 total earned = 504 . hourly wage = 504 / 36 = 14 answer : d" + }, + { + "Answer": 150, + "Options": "a ) 100 , b ) 120 , c ) 140 , d ) 150 miles , e ) 160", + "Correct": "d", + "Explanation": "let v and t be initial parameter vt = d from the stem ( t + 1 ) ( v + 5 ) = 70 + d = > v + 5 t = 65 - - - - - - - 1 ) we need the additional distance traveled second time at v + 10 and t + 2 ( t + 2 ) ( v + 10 ) = vt + 2 v + 10 t + 20 but vt = d hence d + 2 ( v + 5 t ) + 20 but v + 5 t = 65 hence the additional distance traveled is 2 ( v + 5 t ) + 20 = 2 * 65 + 20 = 130 + 20 = 150 d" + }, + { + "Answer": 600, + "Options": "a ) 60 , b ) 30 , c ) 300 , d ) 600 , e ) none of the above", + "Correct": "d", + "Explanation": "to calculate the equivalent of kilometres in a mile 6 miles = 6 * ( 0.6 ) ^ - 1 = 10 kilometres in 1 hour there are 60 minutes speed in kmph = 10 * 60 = 600 correct answer - d" + }, + { + "Answer": 19, + "Options": "a ) 15 , b ) 17 , c ) 19 , d ) 18 , e ) 16", + "Correct": "c", + "Explanation": "\"the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 57 / 3 = 19 kmph . answer : c\"" + }, + { + "Answer": 558, + "Options": "a ) rs . 258 , b ) rs . 358 , c ) rs . 458 , d ) rs . 558 , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : area to be plastered = [ 2 ( l + b ) \u00d7 h ] + ( l \u00d7 b ) = [ 2 ( 25 + 12 ) \u00d7 6 ] + ( 25 \u00d7 12 ) = 744 sq m cost of plastering = 744 \u00d7 ( 75 / 100 ) = rs . 558 answer : d\"" + }, + { + "Answer": 42, + "Options": "a ) 12 , b ) 18 , c ) 20 , d ) 42 , e ) 30", + "Correct": "d", + "Explanation": "\"if it takes 4 more minutes for a to print 40 pages than it takes b , it takes 5 more minutes for a to print 50 pages than it takes b . thus if b is the number of minutes than b takes to print 50 pages , we can write : 1 / b + 1 / ( b + 5 ) = 1 / 6 ( since in 1 minute , they print 1 / 6 th of the 50 page job ) 6 ( 2 b + 5 ) = b ( b + 5 ) b ^ 2 - 7 b - 30 = 0 ( b - 10 ) ( b + 3 ) = 0 b = 10 thus it takes a 15 minutes to print 50 pages and 15 * 140 / 50 = 42 minutes to print 140 pages ( answer d )\"" + }, + { + "Answer": 45, + "Options": "a ) 45 , b ) 25 , c ) 37 , d ) 41 , e ) 30", + "Correct": "a", + "Explanation": "\"work done by mahesh in 60 days = 20 * 1 / 60 = 1 / 3 remaining work = 1 - 1 / 3 = 2 / 3 2 / 3 work is done by rajesh in 30 days whole work will be done by rajesh is 30 * 3 / 2 = 45 days answer is a\"" + }, + { + "Answer": 33, + "Options": "a ) 22 , b ) 33 , c ) 36 , d ) 44 , e ) 51", + "Correct": "b", + "Explanation": "perimeter of the semicircle = \u00ef \u20ac xd / 2 + d = \u00ef \u20ac x 7 + 14 = 22 + 14 = 36 m length of the fence = 36 - 3 = 33 m answer : b" + }, + { + "Answer": 444, + "Options": "a ) 222 km , b ) 333 km , c ) 555 km , d ) 444 km , e ) 666 km", + "Correct": "d", + "Explanation": "d 444 km 1 h - - - - - 5 ? - - - - - - 60 12 h rs = 16 + 21 = 37 t = 12 d = 37 * 12 = 444" + }, + { + "Answer": 11, + "Options": "a ) 9 , b ) 8 , c ) 11 , d ) 8.5 , e ) 6", + "Correct": "c", + "Explanation": "66 / 6 = 11 answer : c" + }, + { + "Answer": 100, + "Options": "a ) 20 % , b ) 80 % , c ) 100 % , d ) 180 % , e ) 200 %", + "Correct": "c", + "Explanation": "c . let ' s assume just jane 40 bears per 40 / hrs a week , so that is 1 bear / hr . with an assistant she makes 72 bears per 36 hours a week or 2 bears / hr ( [ 40 bears * 1.8 ] / [ 40 hrs * . 90 ] ) . w = [ ( 2 - 1 ) / 1 ] * 100 % = 100 %" + }, + { + "Answer": 7, + "Options": "a ) 8 kg . , b ) 10.8 kg . , c ) 7 kg . , d ) 18.0 kg , e ) none", + "Correct": "c", + "Explanation": "\"answer \u2235 weight of 12 m long rod = 14 kg \u2234 weight of 1 m long rod = 14 / 12 kg \u2234 weight of 6 m long rod = 14 x 6 / 12 = 7 kg option : c\"" + }, + { + "Answer": 1, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "a", + "Explanation": "distance = speed * time let x is length of train 5 : 18 - 5 : 12 = 6 minutes = 6 / 60 hr = 1 / 10 hr now d = ( x + 7 ) = 80 kmph * 1 / 10 x = 1 km answer : a" + }, + { + "Answer": 215, + "Options": "a ) 230 , b ) 244 , c ) 245 , d ) 215 , e ) 236", + "Correct": "d", + "Explanation": "\"speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 160 + x ) / 30 = 25 / 2 = = > 2 ( 160 + x ) = 750 = = > x = 215 m . answer : option d\"" + }, + { + "Answer": 273.2050807568877, + "Options": "a ) 173 m , b ) 200 m , c ) 273 m , d ) 300 m , e ) 373 m", + "Correct": "c", + "Explanation": "let ab be the lighthouse and c and d be the positions of the ships . then , ab = 100 m , acb = 30 \u00b0 and adb = 45 \u00b0 . ab = tan 30 \u00b0 = 1 ac = ab x 3 = 1003 m . ac 3 ab = tan 45 \u00b0 = 1 ad = ab = 100 m . ad cd = ( ac + ad ) = ( 1003 + 100 ) m = 100 ( 3 + 1 ) = ( 100 x 2.73 ) m = 273 m . answer = c" + }, + { + "Answer": 48, + "Options": "a ) 42 , b ) 45 , c ) 48 , d ) 50 , e ) 55", + "Correct": "c", + "Explanation": "\"losing 10 liters per day results in a loss of 600 liters in 60 days . so , those 600 liters were for 20 days , making daily consumption of the village 30 liters per day . thus the capacity of the tank is 30 * 80 = 2400 liters . losing 20 liters plus 30 liters gives 50 liters per day . at this rate the supply will last 2400 / 50 = 48 days . the answer is c .\"" + }, + { + "Answer": 660, + "Options": "a ) 600 ft , b ) 660 ft , c ) 670 ft , d ) 680 ft , e ) 700 ft", + "Correct": "b", + "Explanation": "\"per second = > 15 * 5280 ft / 60 * 60 = 22 ft 30 seconds = > 22 * 30 = 660 ft answer : b\"" + }, + { + "Answer": 7200, + "Options": "a ) 2000 , b ) 4500 , c ) 5000 , d ) 7200 , e ) 9000", + "Correct": "d", + "Explanation": "\"number of bottles that can be held in a case = 10 number of cases required to hold 72000 bottles = 72000 / 10 = 7200 cases . so the answer is d = 7200\"" + }, + { + "Answer": 5, + "Options": "a ) 4 , b ) 3 , c ) 5 , d ) 7 , e ) 9", + "Correct": "c", + "Explanation": "\"d = 25 * 60 + 3500 = 5000 m t = 5000 / 60 * 18 / 5 = 300 sec = 5 mins answer : c\"" + }, + { + "Answer": 125, + "Options": "a ) 125 , b ) 272 , c ) 278 , d ) 277 , e ) 112", + "Correct": "a", + "Explanation": "\"speed = 50 * ( 5 / 18 ) m / sec = 125 / 9 m / sec length of train ( distance ) = speed * time ( 125 / 9 ) * 9 = 125 meter answer : a\"" + }, + { + "Answer": 48, + "Options": "a ) 15 , b ) 48 , c ) 54 , d ) 33 , e ) 45", + "Correct": "b", + "Explanation": "\"original number of men = 8 * 18 / ( 18 - 15 ) = 48 answer is b\"" + }, + { + "Answer": 24, + "Options": "a ) 14 days , b ) 20 days , c ) 22 days , d ) 24 days , e ) 26 days", + "Correct": "d", + "Explanation": "\"2 c = 1 / 3 + 1 / 4 \u2013 1 / 2 = 1 / 12 c = 1 / 24 = > 24 days answer : d\"" + }, + { + "Answer": 10, + "Options": "a ) 4 min , b ) 2 min , c ) 10 min , d ) 9 min , e ) 3 min", + "Correct": "c", + "Explanation": "\"s = 600 / 40 = 15 mps s = 9000 / 15 = 600 sec = 10 min . answer : c\"" + }, + { + "Answer": 585, + "Options": "a ) 125 miles , b ) 225 miles , c ) 585 miles , d ) 425 miles , e ) 525 miles", + "Correct": "c", + "Explanation": "\"during each hour , the car travels 65 miles . for 9 hours it will travel 65 + 65 + 65 + 65 + 65 + 65 + 65 + 65 + 65 = 9 \u00d7 65 = 585 miles correct answer is c ) 585 miles\"" + }, + { + "Answer": 342, + "Options": "a ) 156 , b ) 167 , c ) 157 , d ) 342 , e ) 380", + "Correct": "d", + "Explanation": "\"the total number of stations = 19 from 19 stations we have to choose any two stations and the direction of travel ( i . e . , hyderabad to bangalore is different from bangalore to hyderabad ) in 19 p \u2082 ways . \u00b2 \u2070 p \u2082 = 19 * 18 = 342 . answer : d\"" + }, + { + "Answer": 380, + "Options": "a ) 800 , b ) 380 , c ) 360 , d ) 478 , e ) 566", + "Correct": "b", + "Explanation": "\"the total number of stations = 20 from 20 stations we have to choose any two stations and the direction of travel ( ernakulam to chennai is different from chennai to ernakulam ) in 20 p 2 ways . 20 p 2 = 20 * 19 = 380 answer : b\"" + }, + { + "Answer": 96, + "Options": "a ) 96 kmph , b ) 94 kmph , c ) 92 kmph , d ) 86 kmph , e ) 76 kmph", + "Correct": "a", + "Explanation": "s = 160 / 6 * 18 / 5 = 96 kmph answer : a" + }, + { + "Answer": 18, + "Options": "a ) 15 hrs , b ) 18 hrs , c ) 19 hrs , d ) 17 hrs , e ) 16 hrs", + "Correct": "b", + "Explanation": "if monkey hops 3 ft and slips back 2 ft in a hour , it means the monkey hops ( 3 ft - 2 ft ) = 1 ft / hr . similarly in 17 hrs it wil be 17 ft . bt since the height of the tree is 20 ft , so if the monkey hops up the tree in the next hr i . e 18 th hr then it reaches at the top of the tree . hence it takes 18 hrs for monkey to reach at the top answer : b" + }, + { + "Answer": 12, + "Options": "a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", + "Correct": "e", + "Explanation": "\"due to stoppages , it covers 40 km less . time taken to cover 40 km = 40 \u00e2 \u0081 \u201e 200 h = 1 \u00e2 \u0081 \u201e 5 h = 1 \u00e2 \u0081 \u201e 5 \u00e3 \u2014 60 min = 12 min answer e\"" + }, + { + "Answer": 14, + "Options": "a ) 10 m , b ) 14 m , c ) 17 m , d ) 19 m , e ) 20 m", + "Correct": "b", + "Explanation": "\"explanation : let the required length be x metres more men , more length built ( direct proportion ) less days , less length built ( direct proportion ) men 20 : 35 days 21 : 3 : : 56 : x therefore ( 20 x 21 x x ) = ( 35 x 3 x 56 ) x = ( 35 x 3 x 56 ) / 420 = 14 hence , the required length is 14 m . answer : b\"" + }, + { + "Answer": 30, + "Options": "a ) 30 kmph , b ) 40 kmph , c ) 78 kmph , d ) 15 kmph , e ) 23 kmph", + "Correct": "a", + "Explanation": "speed downstream = 50 + 20 = 70 kmph speed upstream = 50 - 20 = 30 kmph answer : a" + }, + { + "Answer": 160, + "Options": "a ) 160 km , b ) 170 km , c ) 180 km , d ) 190 km , e ) 150 km", + "Correct": "a", + "Explanation": "at 12 a will travel = 20 * 2 = 40 km b will travel this 40 km in 40 / 40 = 1 hr i . e . by 11 am . after t junction for a - distance travelled = 2 * 20 = 40 km for b distance travelled = 40 * 3 = 120 so distance between a & b is = 120 + 40 = 160 km answer : a" + }, + { + "Answer": 24, + "Options": "a ) 5 , b ) 24 , c ) 78 , d ) 90 , e ) 54", + "Correct": "b", + "Explanation": "\"let the leak can empty the full tank in x hours 1 / 8 - 1 / x = 1 / 12 = > 1 / x = 1 / 8 - 1 / 12 = ( 3 - 2 ) / 24 = 1 / 24 = > x = 24 . answer : b\"" + }, + { + "Answer": 100, + "Options": "a ) 80 , b ) 90 , c ) 100 , d ) 110 , e ) 120", + "Correct": "c", + "Explanation": "lets suppose that a walks down 1 step / min and escalator moves n steps / min it is given that a takes 50 steps to reach the bottom in the same time escalator would have covered 50 n steps so total steps on escalator is 50 + 50 n . again it is given that b takes 90 steps to reach the bottom and time taken by him for this is equal to time taken by a to cover 10 steps i . e 10 minutes . so in this 10 min escalator would have covered 10 n steps . so total steps on escalatro is 90 + 10 n again equating 50 + 50 n = 90 + 10 n we get n = 1 hence total no . of steps on escalator is 100 . answer : c" + }, + { + "Answer": 2.9997600191984644, + "Options": "a ) 8 sec , b ) 3 sec , c ) 2 sec , d ) 6 sec , e ) 9 sec", + "Correct": "b", + "Explanation": "\"t = 60 / 72 * 18 / 5 = 3 sec answer : b\"" + }, + { + "Answer": 220, + "Options": "a ) 220 km , b ) 120 km , c ) 100 km , d ) 140 km , e ) none of these", + "Correct": "a", + "Explanation": "\"let the partial distance covered at 40 kmph be x let the another partial distance covered at 60 kmph be ( 250 - x ) thus , x / 40 - ( 250 - x ) / 60 = 6 or , x / 40 + ( 250 - x ) / 60 = 6 or , ( 3 x + 500 - 2 x ) / / 120 = 6 or 500 + x = 720 x = 220 answer : a\"" + }, + { + "Answer": 43.2, + "Options": "a ) 38 sec , b ) 35 sec , c ) 43.2 sec , d ) 40 sec , e ) none of these", + "Correct": "c", + "Explanation": "\"speed = 45 km / hr = 45 \u00e3 \u2014 ( 5 / 18 ) m / s = 150 / 12 = 50 / 4 = 25 / 2 m / s total distance = length of the train + length of the platform = 360 + 180 = 540 meter time taken to cross the platform = 540 / ( 25 / 2 ) = 540 \u00e3 \u2014 2 / 25 = 43.2 seconds answer : c\"" + }, + { + "Answer": 312, + "Options": "a ) 312 , b ) 490 , c ) 720 , d ) 435 , e ) 679", + "Correct": "a", + "Explanation": "\"let x be the number of days in the initial plan . therefore , the whole field is 260 \u00e2 \u2039 \u2026 x hectares . the farmer had to work for x + 2 days , and he ploughed 85 ( x + 2 ) hectares , leaving 40 hectares unploughed . then we have the equation : 260 x = 85 ( x + 2 ) + 40 175 x = 210 x = 1.2 so the farmer planned to have the work done in 6 days , and the area of the farm field is 260 ( 1.2 ) = 312 hectares correct answer a\"" + }, + { + "Answer": 150, + "Options": "a ) 150 cm , b ) 160 cm , c ) 170 cm , d ) 140 cm , e ) 150 cm", + "Correct": "a", + "Explanation": "explanation : given that height on 15 th birthday = 159 cm and growth = 6 % let the previous year height = x then height on 15 th birthday = x \u00d7 ( 100 + 6 ) / 100 = x \u00d7 106 / 100 \u21d2 159 = x \u00d7 106 / 100 \u21d2 x = 159 \u00d7 100 / 106 = 1.5 \u00d7 100 = 150 cm answer : option a" + }, + { + "Answer": 9.200000000000001, + "Options": "a ) 9.6 , b ) 10.2 , c ) 9.2 , d ) 10.4 , e ) 9.0", + "Correct": "c", + "Explanation": "\"speed downstream = ( 20 + 3 ) = 23 kmph time = 24 minutes = 24 / 60 hour = 2 / 5 hour distance travelled = time \u00d7 speed = 2 / 5 \u00d7 23 = 9.20 km answer is c .\"" + }, + { + "Answer": 10, + "Options": "a ) 10 min , b ) 15 min , c ) 12 min , d ) 8 min , e ) 16 min", + "Correct": "a", + "Explanation": "\"due to stoppages , it covers 10 km less . time taken to cover 10 km = ( 10 / 60 x 60 ) min = 10 min answer : a\"" + }, + { + "Answer": 240, + "Options": "a ) 160 , b ) 170 , c ) 180 , d ) 190 , e ) 240", + "Correct": "e", + "Explanation": "\"one man can complete the work in 40 * 60 = 2400 days = one time work to complete the work twice it will be completed in let m be the no . of worker assign for this therefore the eqn becomes m * 20 = 2 * 2400 m = 240 workers answer : e\"" + }, + { + "Answer": 11520, + "Options": "a ) 8600 litres , b ) 200 litres , c ) 12800 litres , d ) 11520 litres , e ) 13200 litres", + "Correct": "d", + "Explanation": "\"let the rate of outlet pipe be x liters / hour ; rate of inlet pipe is 8 litres / min , or 8 * 60 = 480 liters / hour ; net outflow rate when both pipes operate would be x - 480 liters / hour . capacity of the tank = x * 8 hours = ( x - 480 ) * ( 8 + 4 ) hours 8 x = ( x - 480 ) * 12 - - > x = 1440 - - > capacity = 8 x = 11520 liters . answer : d .\"" + }, + { + "Answer": 500, + "Options": "a ) 500 , b ) 450 , c ) 600 , d ) 650 , e ) 750", + "Correct": "a", + "Explanation": "60 kmph consumption is 1 lt / hr so 600 km will take 10 hrs and the consumption is 10 lt for entire distance . 1 lt costs $ 30 so 10 lt costs $ 300 extra expenses for 1 hr - $ 20 10 hrs - $ 200 total expense - $ 300 + $ 200 = $ 500 answer : a" + }, + { + "Answer": 25, + "Options": "a ) 27 , b ) 28 , c ) 25 , d ) 30 , e ) 35", + "Correct": "c", + "Explanation": "\"( time ) * ( rate ) = ( distance ) - - > ( rate ) = ( distance ) / ( time ) - - > given : ( rate ) = 100 / t = 175 / ( t + 3 ) - - > 4 / t = 7 / ( t + 3 ) - - > 4 t + 12 = 7 t - - - - > 3 t = 12 . t = 4 - - - - > ( rate ) = 100 / 4 = 25 answer : c\"" + }, + { + "Answer": 86.25, + "Options": "a ) 80 kmph , b ) 60 kmph , c ) 86 kmph , d ) 90 kmph , e ) none of these", + "Correct": "c", + "Explanation": "\"as we know that speed = distance / time for average speed = total distance / total time taken thus , total distance = 240 + 450 = 690 km thus , total speed = 8 hrs or , average speed = 690 / 8 or , 86 kmph . answer : c\"" + }, + { + "Answer": 200, + "Options": "a ) 150 meter , b ) 200 meter , c ) 156 meter , d ) 168 meter , e ) 154 meter", + "Correct": "b", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 12 = 200 meter answer : b\"" + }, + { + "Answer": 16, + "Options": "a ) 18 sec , b ) 12 sec , c ) 17 sec , d ) 21 sec , e ) 16 sec", + "Correct": "e", + "Explanation": "\"speed of the first train = 120 / 12 = 10 m / sec . speed of the second train = 120 / 24 = 5 m / sec . relative speed = 10 + 5 = 15 m / sec . required time = ( 120 + 120 ) / 15 = 16 sec . answer : e\"" + }, + { + "Answer": 32, + "Options": "a ) 16 days , b ) 55 days , c ) 24 days , d ) 32 days , e ) 22 days", + "Correct": "d", + "Explanation": "\"2 c = 1 / 24 + 1 / 12 \u2013 1 / 16 = 1 / 16 c = 1 / 32 = > 32 days answer : d\"" + }, + { + "Answer": 0.75, + "Options": "a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 4", + "Correct": "e", + "Explanation": "\"3 revolutions per minute = 1 revolution every 20 seconds so no matter what anybody appearing at the tower can not stay in the dark for more than 20 seconds . this will be our total number of possibilities i . e the denominator . p ( man in dark for at least 5 seconds ) = 1 - p ( man in dark for max of 5 seconds ) = 1 - 5 / 20 = 1 - 1 / 4 = 3 / 4 or the other way would be : p ( man in dark for at least 5 seconds ) is like saying he can be in dark for 5 , 6,7 . . . all the way to 20 seconds because that is the max . in this approach it would be 15 / 20 seconds = 3 / 4 .\"" + }, + { + "Answer": 200, + "Options": "a ) 200 , b ) 188 , c ) 204 , d ) 288 , e ) 500", + "Correct": "a", + "Explanation": "\"speed = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec length of train ( distance ) = speed * time ( 25 / 2 ) * 16 = 200 meter answer : a\"" + }, + { + "Answer": 300, + "Options": "a ) 100 meter , b ) 150 meter , c ) 200 meter , d ) 250 meter , e ) 300 meter", + "Correct": "e", + "Explanation": "\"speed = 120 * ( 5 / 18 ) m / sec = 200 / 6 m / sec length of train ( distance ) = speed * time ( 200 / 6 ) * 9 = 300 meter answer : e\"" + }, + { + "Answer": 0.375, + "Options": "a ) 1 / 8 , b ) 1 / 6 , c ) 3 / 8 , d ) 1 / 2 , e ) 3 / 4", + "Correct": "c", + "Explanation": "the line y = x divides the circle into two equal areas . all the points above the line y = x satisfy the condition that y > x . all the points above the x - axis satisfy the condition that y > 0 . the intersection of these two areas is 3 / 8 of the circle . the answer is c ." + }, + { + "Answer": 42, + "Options": "a ) 15 , b ) 20 , c ) 42 , d ) 25 , e ) 18", + "Correct": "c", + "Explanation": "\"original number of men = 8 * 21 / ( 21 - 17 ) = 42 answer is c\"" + }, + { + "Answer": 6, + "Options": "a ) 4 days , b ) 6 days , c ) 8 days , d ) 10 days , e ) 12 days", + "Correct": "b", + "Explanation": "\"explanation : ratio of rates of working of a and b = 2 : 1 . so , ratio of times taken = 1 : 2 a ' s 1 day ' s work = 1 / 9 b ' s 1 day ' s work = 1 / 18 ( a + b ) ' s 1 day ' s work = ( 1 / 9 + 1 / 18 ) = 3 / 18 = 1 / 6 so , a and b together can finish the work in 6 days answer is b\"" + }, + { + "Answer": 2.856914303998537, + "Options": "a ) 20 / 8 sec , b ) 20 / 4 sec , c ) 20 / 7 sec , d ) 22 / 7 sec , e ) 60 / 7 sec", + "Correct": "c", + "Explanation": "\"they are moving in opposite directions , relative speed is equal to the sum of their speeds . relative speed = ( 54 + 72 ) * 5 / 18 = 7 * 5 = 35 mps . the time required = d / s = 100 / 35 = 20 / 7 sec . answer : c\"" + }, + { + "Answer": 67.5, + "Options": "a ) $ 33.75 , b ) $ 47.25 , c ) $ 51.75 , d ) $ 54.00 , e ) $ 67.50", + "Correct": "e", + "Explanation": "\"daily working hour * regular rate + overtime * increased rate 7.5 * 4.5 + 3 * 4.5 * 2.5 = 67.5 answer e\"" + }, + { + "Answer": 15.000000000000002, + "Options": "a ) 13 , b ) 16 , c ) 25 , d ) 14 , e ) 15", + "Correct": "e", + "Explanation": "2 / 20 + x / 30 + 4 / 10 = 1 x = 300 / 20 = 15 answer : e" + }, + { + "Answer": 20, + "Options": "a ) 12 , b ) 20 , c ) 24 , d ) 30 , e ) 36", + "Correct": "b", + "Explanation": "let ' s assume that it takes 4 hours to go from point r to b . then the distance between them becomes 240 which makes distance between b and c 120 . ( 240 + 120 ) / ( 4 + x ) gives us the average speed which is 36 . you find x = 6 . so the question simplifies itself to 120 / 6 = 20 hence the answer is b ." + }, + { + "Answer": 24, + "Options": "a ) 56 , b ) 48 , c ) 47 , d ) 26 , e ) 24", + "Correct": "e", + "Explanation": "explanation : relative speed = 210 + 90 = 300 km / hr ( since both trains are moving in opposite directions ) total distance = 1.1 + . 9 = 2 km time = 2 / 300 hr = 1 / 150 hr = 3600 / 150 seconds = 24 seconds answer : option e" + }, + { + "Answer": 23, + "Options": "a ) 23 seconds , b ) 12 seconds , c ) 10 seconds , d ) 18 seconds , e ) 28 seconds", + "Correct": "a", + "Explanation": "\"b runs 56 m in 7 sec . = > b runs 240 m in 7 / 56 * 240 = 30 seconds since a beats b by 7 seconds , a runs 240 m in ( 30 - 7 ) = 23 seconds hence , a ' s time over the course = 23 seconds answer : a\"" + }, + { + "Answer": 38.50946843518593, + "Options": "a ) 22 , b ) 28 , c ) 98 , d ) 38.5 , e ) 13", + "Correct": "d", + "Explanation": "\"36 / 7 r = 198 = > r = 38.5 answer : d\"" + }, + { + "Answer": 53.333333333333336, + "Options": "a ) 42 , b ) 53 , c ) 50 , d ) 54 , e ) 56", + "Correct": "b", + "Explanation": "t 1 = 360 / 60 = 6 hours t 2 = 120 / 40 = 3 hours t = t 1 + t 2 = 9 hours avg speed = total distance / t = 480 / 9 = 53 mph = b" + }, + { + "Answer": 700, + "Options": "a ) 700 , b ) 770 , c ) 707 , d ) 710 , e ) 720", + "Correct": "a", + "Explanation": "\"speed = ( 70 * 5 / 18 ) m / sec = ( 175 / 9 ) m / sec length of the train = ( speed x time ) = ( 175 / 9 * 36 ) m = 700 m . answer : a\"" + }, + { + "Answer": 293.3333333333333, + "Options": "a ) 48 kmph , b ) 252 kmph , c ) 293 kmph , d ) 263 kmph , e ) 265 kmph", + "Correct": "c", + "Explanation": "\"time = 3 distance = 340 1 / 2 of 3 hours = 6 * 1 / 2 = 1.5 hours required speed = 440 / 1.5 = 293 kmph c )\"" + }, + { + "Answer": 102400, + "Options": "['a ) 124545 m', 'b ) 134561 m', 'c ) 156787 m', 'd ) 15450 m', 'e ) 102400 m']", + "Correct": "e", + "Explanation": "perimeter = distance covered in 8 min . = 12000 x 8 m = 1600 m . 60 let length = 1 x metres and breadth = 4 x metres . then , 2 ( 1 x + 4 x ) = 1600 or x = 160 . length = 160 m and breadth = 640 m . area = ( 160 x 640 ) m 2 = 102400 m e" + }, + { + "Answer": 72, + "Options": "a ) 65 kmph , b ) 70 kmph , c ) 72 kmph , d ) 75 kmph , e ) 78 kmph", + "Correct": "c", + "Explanation": "\"length = speed * time speed = l / t s = 300 / 15 s = 20 m / sec speed = 20 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 72 kmph answer : c\"" + }, + { + "Answer": 0.27777777777777773, + "Options": "a ) 2 / 3 , b ) 5 / 18 , c ) 4 / 9 , d ) 3 / 8 , e ) 4 / 7", + "Correct": "b", + "Explanation": "2 / 3 - - - - 12 ? - - - - - 5 = = > 5 / 18 b" + }, + { + "Answer": 19.6347928529354, + "Options": "a ) 15 sec , b ) 18.3 sec , c ) 19.6 sec , d ) 20.4 sec , e ) 22.5 sec", + "Correct": "c", + "Explanation": "relative speed = 100 + 120 = 220 * 5 / 18 = 550 / 9 m / s distance covered = 500 + 700 = 1200 m required time = 1200 * 9 / 550 = 19.6 sec answer is c" + }, + { + "Answer": 14.998800095992321, + "Options": "a ) 12 , b ) 30 , c ) 40 , d ) 15 , e ) 60", + "Correct": "d", + "Explanation": "\"speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 250 * 3 / 50 = 15 sec . answer : option d\"" + }, + { + "Answer": 25, + "Options": "a ) 25 kms , b ) 10 kms , c ) 50 kms , d ) 30 kms , e ) 40 kms", + "Correct": "a", + "Explanation": "\"total eastward distance = 20 kmph * 1 / 2 hr = 10 km total westward distance = 30 kmph * 1 / 2 hr = 15 km total distn betn them = 10 + 15 = 25 km ans 25 km answer : a\"" + }, + { + "Answer": 870, + "Options": "a ) 187 m , b ) 350 m , c ) 267 m , d ) 287 m , e ) 870 m", + "Correct": "e", + "Explanation": "\"speed = 300 / 10 = 30 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 39 = 30 = > x = 870 m . answer : e\"" + }, + { + "Answer": 62.99999999999999, + "Options": "a ) 987 , b ) 271 , c ) 72 , d ) 27 , e ) 63", + "Correct": "e", + "Explanation": "\"length = speed * time speed = l / t s = 700 / 40 s = 17.5 m / sec speed = 17.5 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 63 kmph answer : e\"" + }, + { + "Answer": 560, + "Options": "a ) 334 km . , b ) 216 km . , c ) 314 km . , d ) 224 km . , e ) 560 km .", + "Correct": "e", + "Explanation": "0.5 x / 21 + 0.5 x / 24 = 25 - - > x / 21 + x / 24 = 50 - - > x = 560 km . e" + }, + { + "Answer": 40, + "Options": "a ) 42 , b ) 44 , c ) 46 , d ) 48 , e ) 40", + "Correct": "e", + "Explanation": "the time it takes cara to drive to city b is 120 / 30 = 4 hours . dan needs to take less than 3 hours for the trip . dan needs to exceed a constant speed of 120 / 3 = 40 miles per hour . the answer is e ." + }, + { + "Answer": 100, + "Options": "a ) 40 , b ) 60 , c ) 80 , d ) 100 , e ) 120", + "Correct": "d", + "Explanation": "\"the relative speed of jack and christina is 7 + 8 = 15 feet per second . the distance between them is 210 feet , hence they will meet in ( time ) = ( distance ) / ( relative speed ) = 150 / 15 = 10 seconds . for all this time lindy was running back and forth , so it covered ( distance ) = ( speed ) * ( time ) = 10 * 10 = 100 feet . answer : d .\"" + }, + { + "Answer": 868.5714285714286, + "Options": "a ) 914.2 hours , b ) 900 hours , c ) 915 hours , d ) 868.6 hours , e ) 915 hours", + "Correct": "d", + "Explanation": "\"explanation : speed downstream = ( 16 + 2 ) = 18 kmph speed upstream = ( 16 - 2 ) = 14 kmph total time taken = 6840 / 18 + 6840 / 14 = 380 + 488.6 = 868.6 hours answer : option d\"" + }, + { + "Answer": 475, + "Options": "a ) 827 cm 2 , b ) 216 cm 2 , c ) 285 cm 2 , d ) 178 cm 2 , e ) 475 cm 2", + "Correct": "e", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 25 ) = 475 cm 2 answer : e\"" + }, + { + "Answer": 4, + "Options": "a ) 3 hours , b ) 4 hours , c ) 5 hours , d ) 6 hours , e ) 7 hours", + "Correct": "b", + "Explanation": "\"explanation : speed of the boat in still water = 24 km / hr speed of the stream = 4 km / hr speed downstream = ( 22 + 5 ) = 28 km / hr distance travelled downstream = 112 km time taken = distance / speed = 112 / 28 = 4 hours answer : option b\"" + }, + { + "Answer": 37800, + "Options": "a ) 37800 , b ) 37600 , c ) 37200 , d ) 37500 , e ) none of them", + "Correct": "a", + "Explanation": "72 = 2 ^ 3 x 3 ^ 2 , 108 = 3 ^ 3 x 2 ^ 2 , 2100 = 2 ^ 2 x 5 ^ 2 x 3 x 7 . l . c . m . = 2 ^ 3 x 3 ^ 3 x 5 ^ 2 x 7 = 37800 . answer is a ." + }, + { + "Answer": 78.74, + "Options": "a ) 48.74 inches , b ) 58.74 inches , c ) 78.74 inches , d ) 28.74 inches , e ) 88.74 inches", + "Correct": "c", + "Explanation": "one inch is the same as 25.4 mm . let x inches be the same as 1000 mm x = 1 inch * 2000 mm / 25.4 mm = 78.74 inches correct answer c" + }, + { + "Answer": 91, + "Options": "a ) 69 miles , b ) 88 miles , c ) 96 miles , d ) 91 miles , e ) 112 miles", + "Correct": "d", + "Explanation": "\"upstream speed = 20 - 6 = 14 mph downstream speed = 20 + 6 = 26 mph d / 14 + d / 26 = 10 hours solving for d we get d = 91 answer : d\"" + }, + { + "Answer": 37, + "Options": "a ) 36 min , b ) 37 min , c ) 38 min , d ) 39 min , e ) 32 min", + "Correct": "b", + "Explanation": "in 1 st min it climb 6 m and in 2 nd min it slips 3 m , so it final displacement is 3 m in 2 min . now for 51 m it has taken 34 min . in 35 min it goes to 57 m . in 36 min come down to 54 m . in 37 min it goes to 60 answer : b" + }, + { + "Answer": 289.76377952755905, + "Options": "a ) 174.2 , b ) 212 , c ) 288.1 , d ) 290 , e ) 282.4", + "Correct": "d", + "Explanation": "\"1.5 inch = 2.54 * 1.5 cm . so , 2.54 * 1.5 represents 24 miles . so for 46 cm . : 46 / ( 2.54 * 1.5 ) = x / 24 - - - > x = 24 * 46 / ( 3.81 ) = 290 answer will be d .\"" + }, + { + "Answer": 3.3333333333333335, + "Options": "a ) 150 , b ) 872 , c ) 3.33 , d ) 3.21 , e ) 30.1", + "Correct": "c", + "Explanation": "\"speed = 6 * ( 5 / 18 ) m / sec = 5 / 3 m / sec length of train ( distance ) = speed * time 5 / 3 ) * 2 = 3.33 meter answer : c\"" + }, + { + "Answer": 1000, + "Options": "a ) 800 , b ) 900 , c ) 1000 , d ) 1100 , e ) 1200", + "Correct": "c", + "Explanation": "\"total pay = 40 * $ 12.50 + $ 0.16 * x = 660 x = 160 / 0.16 = 1000 the answer is c .\"" + }, + { + "Answer": 36, + "Options": "a ) a ) 36 , b ) b ) 38 , c ) c ) 90 , d ) d ) 88 , e ) e ) 37", + "Correct": "a", + "Explanation": "\"let the number of correct answers be x . number of incorrect answers = ( 60 \u2013 x ) . 4 x \u2013 ( 50 \u2013 x ) = 130 = > 5 x = 180 = > x = 36 answer : a\"" + }, + { + "Answer": 17.11111111111111, + "Options": "a ) 23 days , b ) 26 days , c ) 17 days , d ) 29 days , e ) 20 days", + "Correct": "c", + "Explanation": "\"c 17 days 14 * 22 = 18 * x = > x = 17 days\"" + }, + { + "Answer": 26, + "Options": "a ) 10 , b ) 13 , c ) 14 , d ) 15 , e ) 26", + "Correct": "e", + "Explanation": "\"let the required number of days be x . less persons , more days ( indirect proportion ) more working hours per day , less days ( indirect proportion ) persons 30 : 39 : : 12 : x working hours / day 6 : 10 30 x 6 x x = 39 x 10 x 12 x = ( 39 x 10 x 12 ) / ( 30 x 6 ) x = 26 . answer : e\"" + }, + { + "Answer": 35, + "Options": "a ) 30 , b ) 35 , c ) 40 , d ) 70 , e ) 45", + "Correct": "b", + "Explanation": "\"us = 30 ds = 40 m = ( 30 + 40 ) / 2 = 35 answer : b\"" + }, + { + "Answer": 37.5, + "Options": "a ) 50.5 , b ) 88.5 , c ) 37.5 , d ) 55.5 , e ) 23.5", + "Correct": "c", + "Explanation": "\"the relative speed = 46 - 36 = 10 km / hr = 10 * 5 / 18 = 25 / 9 m / s in 27 seconds , the relative difference in distance traveled is 27 * 25 / 9 = 75 meters this distance is twice the length of each train . the length of each train is 75 / 2 = 37.5 meters the answer is c .\"" + }, + { + "Answer": 135, + "Options": "a ) 120 sec , b ) 125 sec , c ) 135 sec , d ) 140 sec , e ) none of these", + "Correct": "c", + "Explanation": "explanation : 120 = a * 10 , a = 12 m / sec ( speed of first train ) 150 = b * 15 , b = 10 m / sec ( speed of second train ) 270 = ( 2 ) * t , t = 135 seconds answer \u2013 c" + }, + { + "Answer": 42, + "Options": "a ) 24 . , b ) 32 . , c ) 36 . , d ) 42 . , e ) 44 .", + "Correct": "d", + "Explanation": "\"let the time taken be = x one way distance = 63 x total distance traveled = 2 * 63 x = 126 x total time taken = x + 2 x = 3 x average speed = 126 x / 3 x = 42 answer : d\"" + }, + { + "Answer": 35, + "Options": "a ) 55 , b ) 45 , c ) 35 , d ) 25 , e ) 15", + "Correct": "c", + "Explanation": "\"number of pieces = 2975 / 85 = 35 the answer is c .\"" + }, + { + "Answer": 12.7788, + "Options": "a ) 10.78 mps , b ) 12.78 mps , c ) 97.78 mps , d ) 17.78 mps , e ) 18.78 mps", + "Correct": "b", + "Explanation": "\"46 * 5 / 18 = 12.78 mps answer : b\"" + }, + { + "Answer": 28, + "Options": "a ) 28 , b ) 77 , c ) 36 , d ) 25 , e ) 13", + "Correct": "a", + "Explanation": "\"explanation : less men , means more days { indirect proportion } let the number of days be x then , 27 : 42 : : 18 : x [ please pay attention , we have written 27 : 42 rather than 42 : 27 , in indirect proportion , if you get it then chain rule is clear to you : ) ] { \\ color { blue } x = \\ frac { 42 \\ times 18 } { 27 } } x = 28 so 28 days will be required to get work done by 27 men . answer : a\"" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 12", + "Correct": "a", + "Explanation": "\"let the speed be x . . . so time taken from home to grocery = 250 / x . . the speed to gym = 2 x . . so time taken = 360 / 2 x = 180 / x . . its given 250 / x - 180 / x = 70 . . 70 / x = 70 . . x = 1 m / secs . . so grocery to gym = 2 * 1 = 2 m / s . . . answer : a\"" + }, + { + "Answer": 300, + "Options": "a ) 127 , b ) 237 , c ) 300 , d ) 450 , e ) 281", + "Correct": "c", + "Explanation": "\"explanation : let the required no of hectares be x . then men - - - hectares - - - days 12 - - - - - - - - - 80 - - - - - - - - - 24 36 - - - - - - - - - x - - - - - - - - - 30 more men , more hectares ( direct proportion ) more days , more hectares ( direct proportion ) x = 36 / 12 * 30 / 24 * 80 x = 300 answer : c\"" + }, + { + "Answer": 35, + "Options": "a ) 56 hours , b ) 28 hours , c ) 35 hours , d ) 66 hours , e ) 47 hours", + "Correct": "c", + "Explanation": "1 / a + 1 / b + 1 / c = 1 / 10 ( given ) also given that a = 2 b and b = 2 c = > 1 / 2 b + 1 / b + 2 / b = 1 / 10 = > ( 1 + 2 + 4 ) / 2 b = 1 / 10 = > 2 b / 7 = 10 = > b = 35 hours . answer : c" + }, + { + "Answer": 119.99999999999997, + "Options": "a ) 90 min , b ) 100 min , c ) 110 min , d ) 120 min , e ) 130 min", + "Correct": "d", + "Explanation": "\"1 / 60 - ( 1 / 60 + 1 / 120 ) = - 1 / 120 third pipe can empty in 120 minutes answer : d\"" + }, + { + "Answer": 7.199999999999999, + "Options": "a ) 2.9 hrs , b ) 8.9 hrs , c ) 2.9 hrs , d ) 7.2 hrs , e ) 8.6 hrs", + "Correct": "d", + "Explanation": "\"net part filled in 1 hour = ( 1 / 4 - 1 / 9 ) = 5 / 36 the cistern will be filled in 36 / 5 hrs i . e . , 7.2 hrs . answer : d\"" + }, + { + "Answer": 480, + "Options": "a ) 280 , b ) 320 , c ) 360 , d ) 420 , e ) 480", + "Correct": "e", + "Explanation": "\"easy 480 is the answer . 3 / 4 ( x / 2 ) = 180 x = 180 * 8 / 3 = 480 . answer e\"" + }, + { + "Answer": 2, + "Options": "a ) 3 days , b ) 2 days , c ) 5 days , d ) 6 days , e ) 1 day", + "Correct": "b", + "Explanation": "the length of wall painted by one man in one day = 60 / 4 \u00e3 \u2014 3 = 5 m no . of days required to paint 50 m wall by 5 men = 50 / 5 \u00e3 \u2014 5 = 2 day . b" + }, + { + "Answer": 35.99712023038157, + "Options": "a ) 41.1 sec , b ) 20.2 sec , c ) 36 sec , d ) 50.4 sec , e ) none of the above", + "Correct": "c", + "Explanation": "\"speed = 55 km / hr ( to convert km / hr in to m / s ) = 55 x 5 / 18 m / s distance = 250 m + 300 m ( if questions is about train crossing a post you need to consider only the length of train , ) = 550 m time = distance / speed = 550 x 18 / ( 5 x 55 ) = 36 sec ans is : c\"" + }, + { + "Answer": 5.999520038396929, + "Options": "a ) 7 sec , b ) 6 sec , c ) 8 sec , d ) 9 sec , e ) 5 sec", + "Correct": "b", + "Explanation": "\"solution speed = ( 72 x 5 / 18 ) m / sec = 20 m / sec time taken = ( 120 / 20 ) sec = 6 sec . answer b\"" + }, + { + "Answer": 125, + "Options": "a ) s . 125 , b ) s . 108 , c ) s . 100 , d ) s . 103 , e ) s . 102", + "Correct": "a", + "Explanation": "\"3 x 4 x 5 x 6 9 4 18 x + 36 x + 20 x = 1850 74 x = 1850 = > x = 25 5 x = 125 rs . answer : a\"" + }, + { + "Answer": 28, + "Options": "a ) $ 22 , b ) $ 24 , c ) $ 28 , d ) $ 32 , e ) $ 36", + "Correct": "c", + "Explanation": "\"let x be the daily wage before the increase . 1.5 x = $ 42 x = $ 28 the answer is c .\"" + }, + { + "Answer": 350, + "Options": "a ) 177 , b ) 166 , c ) 350 , d ) 198 , e ) 161", + "Correct": "c", + "Explanation": "\"speed = [ 300 / 18 ] m / sec = 50 / 3 m / sec . let the length of the platform be x meters . then , x + 300 / 39 = 50 / 3 3 ( x + 300 ) = 1950 \u00e8 x = 350 m . answer : c\"" + }, + { + "Answer": 70, + "Options": "a ) 70 , 30 , b ) 30 , 70 , c ) 70 , 70 , d ) 30 , 30 , e ) 80 , 50", + "Correct": "a", + "Explanation": "\"explanation : if x : speed of boats man in still water y : speed of the river downstream speed ( ds ) = x + y upstream speed ( us ) = x \u00e2 \u20ac \u201c y x = ( ds + us ) / 2 y = ( ds \u00e2 \u20ac \u201c us ) / 2 in the above problem ds = 100 ; us = 40 x = ( 100 + 40 ) / 2 = 140 / 2 = 70 km / hr y = ( 100 - 40 ) / 2 = 60 / 2 = 30 km / hr answer : a\"" + }, + { + "Answer": 36, + "Options": "a ) 46 m , b ) 36 m , c ) 26 m , d ) 56 m , e ) 25 m", + "Correct": "b", + "Explanation": "\"perimeter of the plot = 2 ( 40 + 50 ) = 180 m no of poles = 180 / 5 = 36 m answer : b\"" + }, + { + "Answer": 8, + "Options": "a ) 7 days , b ) 8 days , c ) 9 days , d ) 10 days , e ) 11 days", + "Correct": "b", + "Explanation": "\"( a + b ) ' s 1 day ' s work = 1 / 11 + 1 / 20 = 31 / 220 ( a + c ) ' s 1 day ' s work = 1 / 11 + 1 / 55 = 6 / 55 work done in 2 day ' s = 31 / 220 + 6 / 55 = 55 / 220 = 1 / 4 1 / 4 th work done in 2 days work done = 4 * 2 = 8 days answer : b\"" + }, + { + "Answer": 145, + "Options": "a ) 145 , b ) 272 , c ) 278 , d ) 277 , e ) 112", + "Correct": "a", + "Explanation": "\"speed = 58 * ( 5 / 18 ) m / sec = 145 / 9 m / sec length of train ( distance ) = speed * time ( 145 / 9 ) * 9 = 145 meter answer : a\"" + }, + { + "Answer": 1.0000000000000002, + "Options": "a ) 1.0 , b ) 1.2 , c ) 1.4 , d ) 1.6 , e ) 1.8", + "Correct": "a", + "Explanation": "\"72 km / hr = 1.2 km / min the total distance is 1.2 km . 1.2 / 1.2 = 1 minute the answer is a .\"" + }, + { + "Answer": 105.00000000000003, + "Options": "a ) 30 , b ) 45 , c ) 60 , d ) 90 , e ) 105", + "Correct": "e", + "Explanation": "\"whole trip = distance by foot + distance by bus + distance by car x = 1 / 5 x + 2 / 3 x + 14 x - 13 / 15 x = 14 2 / 15 x = 14 = > so x = ( 15 / 2 ) * 14 = 105 km answer e\"" + }, + { + "Answer": 3.4696019499162962, + "Options": "a ) 35 / 10 , b ) 31 / 10 , c ) 31 / 10 , d ) 36 / 10 , e ) 37 / 10", + "Correct": "a", + "Explanation": "they are moving in opposite directions , relative speed is equal to the sum of their speeds . relative speed = ( 74 + 92 ) * 5 / 18 = 46.1 mps . the time required = d / s = 160 / 46.1 = 35 / 10 sec . answer : a" + }, + { + "Answer": 4, + "Options": "a ) 3 , b ) 3.5 , c ) 4 , d ) 4.5 , e ) 6", + "Correct": "c", + "Explanation": "\"ans : c total time = 14 hrs let time traveled during 1 st day = x let time traveled during 2 nd day = x - 2 total time = 14 x + x - 2 = 14 x = 8 speed * time = distance s * 8 + ( s + 0.5 ) ( 8 - 2 ) = 52 solving s = 4.5 now speed for 2 nd day is 0.5 less than the 1 st day which is 4.5 thus speed for 2 nd day = 4 its simple algebra for s * 8 + ( s + 0.5 ) ( 8 - 2 ) = 52 but for some reason im getting 3.5 and not 4.5 . 8 s + 6 s + 3 = 52 14 s = 49 s = 3.5\"" + }, + { + "Answer": 8, + "Options": "a ) 8 , b ) 9 , c ) 6 , d ) 1 , e ) 5", + "Correct": "a", + "Explanation": "let a man can do 1 unit of work in 1 hour . total units of work = 4 x 8 x 5 = 160 units . now work = 2 x 160 = 320 units . now 2 men work for 20 days . let in x hours they have to work per day . now total work = 2 \u00d7 x \u00d7 20 = 40 x 40 x = 320 so x = 320 / 40 = 8 hours . answer : a" + }, + { + "Answer": 4, + "Options": "a ) 4 days , b ) 14 days , c ) 6 days , d ) 8 days , e ) 9 days", + "Correct": "a", + "Explanation": "\"explanation : 16 boys = 24 girls , 1 boy = 24 / 16 girls 1 boy = 6 / 4 girls 8 boys + 24 girls = 8 \u00e3 \u2014 6 / 4 + 12 = 12 + 24 = 36 girls 4 days to complete the work answer : option a\"" + }, + { + "Answer": 799.1999999999999, + "Options": "a ) 399 , b ) 272 , c ) 799.2 , d ) 277 , e ) 311", + "Correct": "c", + "Explanation": "\"answer : option c explanation : a 2 = 3136 = > a = 56 56 * 4 * 3 = 672 \u00e2 \u20ac \u201c 6 = 666 * 1.2 = 799.2 answer : c\"" + }, + { + "Answer": 7.2, + "Options": "a ) 3.6 , b ) 7.2 , c ) 8.4 , d ) 10 , e ) 8", + "Correct": "b", + "Explanation": "\"speed = 600 / ( 5 x 60 ) m / sec . = 2 m / sec . converting m / sec to km / hr = ( 2 x ( 18 / 5 ) ) km / hr = 7.2 km / hr . answer : b\"" + }, + { + "Answer": 100, + "Options": "a ) 125 km , b ) 100 km , c ) 80 km , d ) 120 km , e ) 60 km", + "Correct": "b", + "Explanation": "detailed solution here , the distance travelled by sourav is constant in both the cases . so , 20 x t = 25 x ( t - 1 ) = d = ) 20 t = 25 t - 25 = ) 5 t = 25 = ) t = 5 hrs so , distance travelled = 20 x 5 = 100 km . correct answer b ." + }, + { + "Answer": 176, + "Options": "a ) 136 , b ) 146 , c ) 166 , d ) 176 , e ) 216", + "Correct": "d", + "Explanation": "area of the room = 544 * 374 sq cm size of largest square tile = h . c . f of 544 cm and 374 cm = 34 cm area of 1 tile = 34 * 34 sq cm no . of tiles required = ( 544 * 374 ) / ( 34 * 34 ) = 176 answer : d" + }, + { + "Answer": 16, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", + "Correct": "d", + "Explanation": "\"26 trees have 25 gaps between them , required distance ( 400 / 25 ) = 16 d\"" + }, + { + "Answer": 8, + "Options": "a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16", + "Correct": "a", + "Explanation": "\"let t be the total time of the trip . 30 * 6 + 46 ( t - 6 ) = 34 t 12 t = 276 - 180 t = 8 the answer is a .\"" + }, + { + "Answer": 15, + "Options": "a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) none of them", + "Correct": "b", + "Explanation": "let the required number of days be x . more men , less days ( indirect proportion ) less hours per day , more days ( indirect proportion ) men 18 : 15 hours per day 8 : 9 } : : 16 : x ( 18 x 8 x x ) = ( 15 x 9 x 16 ) = x = ( 44 x 15 ) 144 = 15 hence , required number of days = 15 . answer is b ." + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 12 hours , b ) 111 hours , c ) 15 hours , d ) 14 hours , e ) 11 hours", + "Correct": "a", + "Explanation": "part filled without leak in 1 hour = 1 / 3 part filled with leak in 1 hour = 1 / 4 work done by leak in 1 hour = 1 / 3 \u00e2 \u02c6 \u2019 1 / 4 = 12 hours answer : a" + }, + { + "Answer": 16500, + "Options": "a ) rs . 12000 , b ) rs . 19500 , c ) rs . 18000 , d ) rs . 16500 , e ) rs . 17500", + "Correct": "d", + "Explanation": "\"explanation : area = 5.5 \u00d7 3.75 sq . metre . cost for 11 sq . metre . = rs . 800 hence , total cost = 5.5 \u00d7 3.75 \u00d7 800 = 5.5 \u00d7 3000 = rs . 16500 answer : option d\"" + }, + { + "Answer": 12, + "Options": "a ) 5 , b ) 6 , c ) 8 , d ) 10 , e ) 12", + "Correct": "e", + "Explanation": "i approached this one by plugging in numbers . . . started with c . if 40 are made in 8 hours , then 20 are made in 4 hours . so time of c is 4 , and time of b is 2 . rate together : 20 / 4 + 20 / 2 = 5 + 10 = 15 . so in 1 hour , together make 15 widgets . in 3 hours = 45 . way too much . we can eliminate right away c , b , and a - because b and c reduces the time - the total # of widgets made will be even higher . now between d and e - > try only one . . if it does n ' t work , then the other one is the answer . i picked e : 12 h to make 40 widgets , and 6 hours to make 20 . this is the time of c . time of b = 4 hours . 20 / 6 + 20 / 4 = 10 / 3 + 20 / 4 find lcm of 3 and 4 = 12 . multiply first by 4 , and second by 3 : 40 + 60 / 12 = 100 / 12 divide by 4 : 25 / 3 so this is the rate given . e is the correct answer" + }, + { + "Answer": 16, + "Options": "a ) 16 , b ) 42 , c ) 28 , d ) 54 , e ) 45", + "Correct": "a", + "Explanation": "\"a \u2019 s one day \u2019 s work = 1 / x b \u2019 s one day \u2019 s work = 1 / 3 x a + b \u2019 s one day \u2019 s work = 1 / x + 1 / 3 x = 1 / 12 = 3 + 1 / 3 x = 4 / 3 x = 1 / 12 x = 12 * 4 / 3 = 16 answer : a\"" + }, + { + "Answer": 24, + "Options": "a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36", + "Correct": "b", + "Explanation": "the height : length ratio will be equal in both cases . 18 / 45 = x / 60 x = 24 the answer is b ." + }, + { + "Answer": 7, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "b", + "Explanation": "\"the number of hours required to complete the work is 8 * 7 * 18 = 1008 12 \u00d7 12 \u00d7 ( x ) = 1008 x = 7 the answer is b .\"" + }, + { + "Answer": 3.125, + "Options": "a ) 2.25 , b ) 3.125 . , c ) 4.5 , d ) 5.225 , e ) 6.25", + "Correct": "b", + "Explanation": "\"number of hours in 28 days = 28 * 24 number of 30 mins in 28 days = 28 * 24 * 2 number of computers built every 30 mins = 4200 / ( 28 * 24 * 2 ) = 3.125 answer b\"" + }, + { + "Answer": 48, + "Options": "a ) 40 , b ) 60 , c ) 48 , d ) 70 , e ) 80", + "Correct": "c", + "Explanation": "first 12 min = 50 * 12 / 60 = 10 km 2 nd 12 min = 60 * 12 / 60 = 12 km 3 rd 12 min = 70 * 12 / 60 = 14 km 4 th 12 min = 80 * 12 / 60 = 16 km total time 12.4 = 48 min c" + }, + { + "Answer": 117, + "Options": "a ) 75 , b ) 105 , c ) 117 , d ) 150 , e ) 162", + "Correct": "c", + "Explanation": "at an average rate of 30 miles per hour in 12 minute ( 1 / 5 hours ) pat covers ( distance ) = ( time ) * ( rate ) = 1 / 5 * 30 = 6 miles , thus she should cover the remaining distance of 20 - 6 = 14 miles at an average rate of 8 miles per hour . to cover 14 miles at an average rate of 8 miles per hour pat needs ( time ) = ( distance ) / ( rate ) = 14 / 8 = 1.75 hours = 105 minutes . therefore pat needs total of 12 + 105 = 117 minutes to cover the entire course . answer : c ." + }, + { + "Answer": 79.19999999999999, + "Options": "a ) 79.2 kmph , b ) 89.2 kmph , c ) 79.6 kmph , d ) 99.2 kmph , e ) 69.2 kmph", + "Correct": "a", + "Explanation": "\"22 * 18 / 5 = 79.2 kmph answer : a\"" + }, + { + "Answer": 10.799136069114471, + "Options": "a ) 5.6 sec , b ) 8.9 sec , c ) 10.8 sec , d ) 12.6 sec , e ) 15 sec", + "Correct": "c", + "Explanation": "\"relative speed = 60 + 40 = 100 kmph * 5 / 18 = 250 / 9 m / s distance covered in crossing each other = 140 + 160 = 300 m required time = 300 * 9 / 250 = 54 / 5 = 10.8 sec answer is c\"" + }, + { + "Answer": 900.0719999999999, + "Options": "a ) 287 , b ) 600 , c ) 289 , d ) 276 , e ) 900", + "Correct": "e", + "Explanation": "\"108 kmph = 108 * 5 / 18 = 30 mps d = speed * time = 30 * 30 = 900 m . answer : e\"" + }, + { + "Answer": 84, + "Options": "a ) 65 mtr . , b ) 84 mtr , c ) 70 mtr . , d ) 78 mtr . , e ) 17 mtr .", + "Correct": "b", + "Explanation": "20 men is 6 days can build 112 metres 30 men in 3 days can build = 112 * ( 30 / 20 ) x ( 3 / 6 ) = 84 meters answer : b ." + }, + { + "Answer": 475.038, + "Options": "a ) 275 m , b ) 360 m , c ) 475 m , d ) 420 m , e ) 440 m", + "Correct": "c", + "Explanation": "\"the distance traveled in 30 sec = 57 * ( 5 / 18 ) * 30 = 475 m answer : c\"" + }, + { + "Answer": 62, + "Options": "a ) 24 , b ) 44 , c ) 58 , d ) 60 , e ) 62", + "Correct": "e", + "Explanation": "first day - 18 miles with 3 miles per hours then total - 6 hours for that day second day - 4 miles per hour and 5 hours - 20 miles third day - 4 miles per hour and 6 hours - 24 miles total 18 + 20 + 24 - 62 answer : option e ." + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "c", + "Explanation": "\"the runner runs the first 20 miles at speed v and the second 20 miles at speed v / 2 . the time t 2 to run the second half must be twice the time t 1 to run the first half . t 2 = 2 * t 1 = t 1 + 4 t 1 = 4 and so t 2 = 8 . the answer is c .\"" + }, + { + "Answer": 6.382978723404255, + "Options": "a ) 6.4 days , b ) 4.4 days , c ) 5.4 days , d ) 8.4 days , e ) 2.4 days", + "Correct": "a", + "Explanation": "a 6.4 days 1 day work of the three persons = ( 1 / 15 + 1 / 20 + 1 / 25 ) = 47 / 300 so , all three together will complete the work in 300 / 47 = 6.4 days . -" + }, + { + "Answer": 63, + "Options": "a ) 63 , b ) 65 , c ) 62 , d ) 60 , e ) 45", + "Correct": "a", + "Explanation": "change 1 hr 45 min to 105 min . for this , we need to set up a simple proportion of pens per time 18 / 30 = s / 105 the absolutely worst thing you could do at this point in the problem is to cross - multiply . that would be a supremely unstrategic move . instead , cancel before you multiply . for what we can see this post . we can cancel 18 / 30 as 6 / 10 6 / 10 = s / 105 we can cross - multiply . 10 * s = 6 * 105 = 630 if we divide both sides by 10 , s = 63 the machine would be 63 pens in 1 hr 45 min . answer : a" + }, + { + "Answer": 200, + "Options": "a ) 220 , b ) 200 , c ) 210 , d ) 225 , e ) 230", + "Correct": "b", + "Explanation": "\"b 225 * t = 1 km = > t = 1 / 225 km / h v * ( t + 2 / 3600 ) = 1 v ( 1 / 225 + 2 / 3600 ) = 1 = > v = 200 km / h\"" + }, + { + "Answer": 700, + "Options": "a ) 120 metres , b ) 700 metres , c ) 324 metres , d ) 828 metres , e ) 600 metres", + "Correct": "b", + "Explanation": "\"speed = 60 x 5 / 18 m / sec = 50 / 3 m / sec . length of the train = ( speed x time ) . length of the train = 50 / 3 x 42 m = 150 m . option b\"" + }, + { + "Answer": 11.666666666666666, + "Options": "a ) 5 hrs , b ) 11.6 hrs , c ) 15.6 hrs , d ) 20.1 hrs , e ) 30 hrs", + "Correct": "b", + "Explanation": "\"1 hour he walk 6 km he walk 70 km in = 70 / 6 * 1 = 11.6 hours answer is b\"" + }, + { + "Answer": 15, + "Options": "a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 19", + "Correct": "a", + "Explanation": "ans . 15 days" + }, + { + "Answer": 23.999999999999996, + "Options": "a ) 15 days , b ) 16 days , c ) 19 days , d ) 17 days , e ) 24 days", + "Correct": "e", + "Explanation": "\"lcm = 120 , ratio = 40 : 60 = 2 : 3 no of days = 120 / ( 2 + 3 ) = 90 / 5 = 24 days answer : e\"" + }, + { + "Answer": 8.105581523233434, + "Options": "a ) 7.1 days , b ) 8.1 days , c ) 9.1 days , d ) 10 days , e ) 11 days", + "Correct": "b", + "Explanation": "\"( a + b ) ' s 1 day ' s work = 1 / 11 + 1 / 20 = 31 / 220 ( a + c ) ' s 1 day ' s work = 1 / 11 + 1 / 67 = 78 / 737 work done in 2 day ' s = 31 / 220 + 78 / 737 = 19 / 77 19 / 77 th work done in 2 days work done = 77 / 19 * 2 = 8.1 days answer : b\"" + }, + { + "Answer": 395.84067435231395, + "Options": "a ) 438 , b ) 395 , c ) 378 , d ) 279 , e ) 222", + "Correct": "b", + "Explanation": "\"2 * 22 / 7 * 18 = 113 113 * 3 1 / 2 = rs . 395 answer : b\"" + }, + { + "Answer": 84, + "Options": "a ) 80 , b ) 82 , c ) 84 , d ) 86 , e ) 88", + "Correct": "c", + "Explanation": "\"the projectiles travel a total of 990 km per hour . the time to meet is 1386 / 990 = 1.4 hours = 84 minutes the answer is c .\"" + }, + { + "Answer": 56.00000000000003, + "Options": "a ) 59 hours , b ) 54 hours , c ) 59 hours , d ) 56 hours , e ) 26 hours", + "Correct": "d", + "Explanation": "part filled without leak in 1 hour = 1 / 7 part filled with leak in 1 hour = 1 / 8 work done by leak in 1 hour = 1 / 7 \u00e2 \u02c6 \u2019 1 / 8 = 56 hours answer : d" + }, + { + "Answer": 60, + "Options": "a ) 27 , b ) 279 , c ) 60 , d ) 278 , e ) 379", + "Correct": "c", + "Explanation": "when the second train leaves mumbai the first train covers 30 * 1 = 30 km so , the distance between first train and second train is 30 km at 10.00 am time taken by the trains to meet = distance / relative speed = 30 / ( 60 - 30 ) = 1 hours so , the two trains meet at 11 a . m . the two trains meet 1 * 60 = 60 km away from mumbai . answer : c" + }, + { + "Answer": 24, + "Options": "a ) 18 km , b ) 20 km , c ) 22 km , d ) 24 km , e ) 30 km", + "Correct": "d", + "Explanation": "let his office time be 10 a . m . he reaches office at 8 minutes earlier when he travels at 40 kmph = > he reaches at 9 : 52 a . m he reaches his office 4 minutes late when travels at 30 kmph speed = > he reaches at 10.04 a . m the time difference is ( 10.04 \u2013 9.52 ) = 12 minutes let the distance be d and time = distance speed t 1 \u2013 t 2 = 12 minutes = 12 / 60 hours = 1 / 5 hours d / 30 \u2013 d / 40 = 1 / 5 ( 4 d - 3 d ) / 120 = 1 / 5 d = 24 km" + }, + { + "Answer": 34, + "Options": "a ) 31 , b ) 32 , c ) 33 , d ) 34 , e ) 35", + "Correct": "d", + "Explanation": "\"sqrt ( 1156 ) = 34 becoz max length is cuboid diagonal d = sqrt ( l ^ 2 + b ^ 2 + h ^ 2 ) where l lenght b breadth & h height answer : d\"" + }, + { + "Answer": 13, + "Options": "a ) 12 kmph , b ) 13 kmph , c ) 14 kmph , d ) 15 kmph , e ) 16 kmph", + "Correct": "b", + "Explanation": "\"the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 39 / 3 = 13 kmph answer : b\"" + }, + { + "Answer": 300, + "Options": "a ) 286 m , b ) 899 m , c ) 300 m , d ) 166 m , e ) 187 m", + "Correct": "c", + "Explanation": "\"2 ( l + 100 ) = 800 = > l = 300 m answer : c\"" + }, + { + "Answer": 97, + "Options": "a ) 52 kmph . , b ) 62 kmph . , c ) 97 kmph . , d ) 80 kmph . , e ) none", + "Correct": "c", + "Explanation": "\"solution relative speed = ( 280 / 9 ) m / sec = ( 280 / 9 x 18 / 5 ) = 112 kmph . speed of the train = ( 112 - 15 ) kmph = 97 kmph . answer c\"" + }, + { + "Answer": 30, + "Options": "a ) 56 , b ) 48 , c ) 47 , d ) 30 , e ) 25", + "Correct": "d", + "Explanation": "\"explanation : relative speed = 150 + 90 = 240 km / hr ( since both trains are moving in opposite directions ) total distance = 1.1 + . 9 = 2 km time = 2 / 240 hr = 1 / 120 hr = 3600 / 120 seconds = 30 seconds answer : option d\"" + }, + { + "Answer": 3300, + "Options": "a ) 90 , b ) 2,700 , c ) 3,300 , d ) 5,400 , e ) 324,000", + "Correct": "c", + "Explanation": "\"together the two machines make 35 + 75 = 110 copies per minute . so , in half an hour they will make 110 * 30 = 3,300 copies . answer : c .\"" + }, + { + "Answer": 16500, + "Options": "a ) s . 15,550 , b ) s . 15,600 , c ) s . 16,500 , d ) s . 17,600 , e ) s . 17,900", + "Correct": "c", + "Explanation": "\"area of the floor = ( 5.5 \u00e3 \u2014 4 ) m 2 = 22 m 2 . cost of paving = rs . ( 750 \u00e3 \u2014 22 ) = rs . 16500 . answer : option c\"" + }, + { + "Answer": 18, + "Options": "a ) 10 kmph , b ) 18 kmph , c ) 20 kmph , d ) 26 kmph , e ) 28 kmph", + "Correct": "b", + "Explanation": "given distance d = 900 meters and time = 180 seconds speed = distance / time = 900 / 180 = 5 m / s . but speed is asked in kmph , to convert 5 mps to kmph , multiply it by 18 / 5 . speed in kmph = 5 x 18 / 5 = 18 kmph b" + }, + { + "Answer": 0.2727272727272727, + "Options": "a ) 9 / 29 , b ) 8 / 23 , c ) 3 / 8 , d ) 3 / 11 , e ) 3 / 4", + "Correct": "d", + "Explanation": "suppose q can drain in 1 hr . so , rq = 1 / 1 = 1 so , rp = 1 / [ ( 3 / 4 ) rq ] = 4 / 3 also , rp = rr / ( 3 / 3 ) = > 4 / 3 = rr / ( 3 / 3 ) = > rr = 4 / 3 let h is the time it takes to drain by running all 3 pipes simultaneously so combined rate = rc = 1 / h = 1 + 4 / 3 + 4 / 3 = 11 / 3 = 1 / ( 3 / 11 ) thus running simultaneously , pipe q will drain 3 / 11 of the liquid . thus answer = d ." + }, + { + "Answer": 48, + "Options": "a ) 40 , b ) 48 , c ) 44 , d ) 36 , e ) 30", + "Correct": "b", + "Explanation": "\"first 12 min = 40 * 12 / 60 = 8 km 2 nd 12 min = 60 * 12 / 60 = 12 km 3 rd 12 min = 80 * 12 / 60 = 16 km 4 th 12 min = 100 * 12 / 60 = 20 km total time 12.4 = 48 min b\"" + }, + { + "Answer": 71.99376049916006, + "Options": "a ) 54 kmph , b ) 60 kmph , c ) 66 kmph , d ) 72 kmph , e ) 82 kmph", + "Correct": "d", + "Explanation": "\"speed of train relative to man : 130 / 6 * 18 / 5 km / hr = 78 km / hr let speed of train = x therefore x + 6 = 78 x = 78 - 6 x = 72 km / hr answer : d\"" + }, + { + "Answer": 16, + "Options": "a ) 15 minutes , b ) 16 minutes , c ) 17 minutes , d ) 18 minutes , e ) none of these", + "Correct": "b", + "Explanation": "sol . the top tab is operational till 18 litres is drawn out . \u2234 time after which the lower tap is usually open = 18 \u00d7 6 = 108 minutes \u2234 time after which it is open now = 108 \u2013 24 = 84 minutes \u2234 litres drawn = 84 / 6 = 14 litres \u2234 18 \u2013 14 = 4 litres were drawn by the new assistant . \u2234 time = 4 \u00d7 4 = 16 minutes answer b" + }, + { + "Answer": 150, + "Options": "a ) 40 , b ) 60 , c ) 150 , d ) 80 , e ) 100", + "Correct": "c", + "Explanation": "\"if two objects a and b start simultaneously from opposite points and , after meeting , reach their destinations in \u2018 a \u2019 and \u2018 b \u2019 hours respectively ( i . e . a takes \u2018 a hrs \u2019 to travel from the meeting point to his destination and b takes \u2018 b hrs \u2019 to travel from the meeting point to his destination ) , then the ratio of their speeds is given by : sa / sb = \u221a ( b / a ) i . e . ratio of speeds is given by the square root of the inverse ratio of time taken . sa / sb = \u221a ( 4 / 9 ) = 2 / 3 this gives us that the ratio of the speed of a : speed of b as 2 : 3 . since speed of a is 100 kmph , speed of b must be 100 * ( 3 / 2 ) = 150 kmph answer c\"" + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 16 , c ) 13 , d ) 18 , e ) 19", + "Correct": "a", + "Explanation": "\"let the required number of days be x . less persons , more days ( indirect proportion ) more working hours per day , less days ( indirect proportion ) persons 30 : 36 : : 12 : x working hours / day 6 : 5 30 x 6 x x = 36 x 5 x 12 x = ( 36 x 5 x 12 ) / ( 30 x 6 ) x = 12 answer a\"" + }, + { + "Answer": 84, + "Options": "a ) 70 m , b ) 60 m , c ) 80 m , d ) 65 m , e ) 84 m", + "Correct": "e", + "Explanation": "\"speed of a : speed of b = 4 : 1 means in a race of 4 m a gains 3 m . then in a race of 63 m he gains 63 * ( 4 / 3 ) i . e 84 m answer : e\"" + }, + { + "Answer": 294, + "Options": "a ) 205 , b ) 220 , c ) 240 , d ) 247 , e ) 294", + "Correct": "e", + "Explanation": "\"car y began travelling after 72 minutes or 1.2 hours . let t be the time for which car y travelled before it stopped . both cars stop when they have travelled the same distance . so , 35 ( t + 1.2 ) = 40 t t = 8.4 distance traveled by car x from the time car y began traveling until both cars stopped is 35 x 8.4 = 294 miles answer : - e\"" + }, + { + "Answer": 8, + "Options": "a ) 5 hours , b ) 4 hours , c ) 3 hours , d ) 2 hours , e ) 8 hours", + "Correct": "e", + "Explanation": "\"explanation : speed of the boat in still water = 22 km / hr speed of the stream = 5 km / hr speed downstream = ( 22 + 5 ) = 27 km / hr distance travelled downstream = 216 km time taken = distance / speed = 216 / 27 = 8 hours . answer : option e\"" + }, + { + "Answer": 3, + "Options": "a ) 3 kmph , b ) 6 kmph , c ) 6.25 kmph , d ) 7.5 kmph , e ) 7.8 kmph", + "Correct": "a", + "Explanation": "let abhay ' s speed be x km / hr . then , 18 / x - 18 / 2 x = 3 6 x = 18 x = 3 km / hr . answer : option a" + }, + { + "Answer": 3.5999999999999996, + "Options": "a ) 1.5 , b ) 2 , c ) 2.4 , d ) 3 , e ) 3.6", + "Correct": "e", + "Explanation": "answer is 3.6 hours . john does the complete house in 6 hours while nick does it in 9 hours . 1 / ( 1 / 6 + 1 / 9 ) = 3.6 answer is e" + }, + { + "Answer": 4955.357142857142, + "Options": "a ) 4955 , b ) 4899 , c ) 4650 , d ) 7200 , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : no . of bricks = volume of the wall / volume of 1 brick = ( 900 x 500 x 18.5 ) / ( 21 x 10 x 8 ) = 4955 answer : a\"" + }, + { + "Answer": 0.6666666666666666, + "Options": "a ) 1 / 3 , b ) 2 / 3 , c ) 4 / 3 , d ) 5 / 3 , e ) 7 / 3", + "Correct": "b", + "Explanation": "\"ans is : b a ' s 1 day ' s work = 1 / 20 b ' s 1 day ' s work = 1 / 30 ( a + b ) ' s 1 day ' s work = ( 1 / 20 + 1 / 30 ) = 1 / 12 ( a + b ) ' s 4 day ' s work = ( 1 / 12 * 4 ) = 1 / 3 therefore , remaining work = ( 1 - 1 / 3 ) = 2 / 3\"" + }, + { + "Answer": 96, + "Options": "a ) 60 , b ) 72 , c ) 84 , d ) 96 , e ) 108", + "Correct": "d", + "Explanation": "\"d is the answer . . . . d = ts where d = distance , t = time and s = speed to travel half distance , ( 2 + 3 t ) = 8 t = = > t = 2 / 5 = = > 24 minutes to travel double distance , 2 ( 2 + 3 t ) = 8 t = = > 2 = = > 120 minutes difference , 96 minutes d\"" + }, + { + "Answer": 120, + "Options": "a ) 240 seconds , b ) 120 seconds , c ) 60 seconds , d ) 180 seconds , e ) 100 seconds", + "Correct": "b", + "Explanation": "if they all meet after t seconds , it means they covered the distances 12 t , 20 t , and 36 t respectively . since they all arrive to the same spot , it means that the differences taken pairwise between the distances must be positive integer multiples of the length of the track , which is 960 m . so , 8 t , 16 t , and 24 t must all be multiples of 960 . 8 t multiple of 960 means t multiple of 120 . the smallest t with this property is 120 and is on the list of answers . answer b ." + }, + { + "Answer": 2, + "Options": "a ) 0.75 , b ) 1 , c ) 1.25 , d ) 1.5 , e ) 2.0", + "Correct": "e", + "Explanation": "\"as cars are moving in opposite directions their speeds will be added . so their relative speeds : 17 + 13 = 30 mph total distance to be covered = 60 miles . time taken would be : 60 miles / 30 mph = 2.0 hours e is the answer .\"" + }, + { + "Answer": 18, + "Options": "a ) 25 days , b ) 18 days , c ) 21 days , d ) 11 days , e ) 13 days", + "Correct": "b", + "Explanation": "\"wc = 2 : 1 2 x + x = 1 / 6 x = 1 / 18 = > 18 days answer : b\"" + }, + { + "Answer": 6, + "Options": "a ) 2 m , b ) 6 m , c ) 4 m , d ) 8 m , e ) 9 m", + "Correct": "b", + "Explanation": "1 / 2 * 80 ( 10 + b ) = 640 b = 6 m answer : b" + }, + { + "Answer": 13.200000000000003, + "Options": "a ) 12 days , b ) 15 days , c ) 66 / 5 days , d ) 21 days , e ) 22 / 5 days", + "Correct": "c", + "Explanation": "\"explanation : a and b can do work 1 / 6 in 1 day a alone can do 1 / 11 work in 1 day b alone can do ( 1 / 6 - 1 / 11 ) = 5 / 66 work in 1 day = > complete work can be done in 66 / 5 days by b answer : option c\"" + }, + { + "Answer": 12, + "Options": "a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", + "Correct": "b", + "Explanation": "\"let his speed for one half of the journey be 6 miles an hour let the other half be x miles an hour now , avg speed = 8 mile an hour 2 * 6 * x / 6 + x = 8 12 x = 8 x + 48 = > x = 12 b\"" + }, + { + "Answer": 55.38461538461539, + "Options": "a ) 70 , b ) 72 , c ) 74 , d ) 75 , e ) 55", + "Correct": "e", + "Explanation": "\"time to cover 1 kilometer at 80 kilometers per hour is 1 / 60 hours = 3,600 / 60 seconds = 60 seconds ; time to cover 1 kilometer at regular speed is 60 + 5 = 65 seconds = 65 / 3,600 hours = 1 / 55 hours ; so , we get that to cover 1 kilometer 1 / 55 hours is needed - - > regular speed 55 kilometers per hour ( rate is a reciprocal of time or rate = distance / time ) . answer : e\"" + }, + { + "Answer": 3456, + "Options": "['a ) 2345', 'b ) 3456', 'c ) 4567', 'd ) 5678', 'e ) 6789']", + "Correct": "b", + "Explanation": "the tank is emptied at this rate : 12 + 6 - 3 = 15 cubic inches / min the tank has a volume of 30 * 12 * 12 * 12 = 51840 cubic inches . the time it takes to empty the tank is 51840 / 15 = 3456 minutes . the answer is b ." + }, + { + "Answer": 2.625, + "Options": "a ) 2.125 , b ) 2.375 , c ) 2.625 , d ) 2.675 , e ) 2.825", + "Correct": "c", + "Explanation": "\"let the distance to the top be x , so the total distance traveled by natasha is 2 x . the total time is 4 + 2 = 6 hours the average speed = total distance / total time taken = 2 x / 6 = x / 3 the average speed of the complete journey is 3.5 km / hour x / 3 = 3.5 x = 10.5 km the average speed while climbing = distance / time = 10.5 / 4 = 2.625 km / h the answer is c .\"" + }, + { + "Answer": 6, + "Options": "a ) 2 hours , b ) 4 hours , c ) 3 hours , d ) 5 hours , e ) 6 hours", + "Correct": "e", + "Explanation": "\"in three minute 1 / 20 + 1 / 30 - 1 / 15 = 1 / 60 part is filled 6 min - - - - - - - - 1 / 60 parts x min - - - - - - - - - 1 part ( full ) x = 360 min = 6 hours answer : e\"" + }, + { + "Answer": 56, + "Options": "a ) 38 sec , b ) 35 sec , c ) 44 sec , d ) 40 sec , e ) 56", + "Correct": "e", + "Explanation": "\"speed = 45 km / hr = 45 \u00e3 \u2014 ( 5 / 18 ) m / s = 150 / 12 = 50 / 4 = 25 / 2 m / s total distance = length of the train + length of the platform = 360 + 340 = 700 meter time taken to cross the platform = 700 / ( 25 / 2 ) = 700 \u00e3 \u2014 2 / 25 = 56 seconds answer : e\"" + }, + { + "Answer": 4, + "Options": "a ) 3 , b ) 3.5 , c ) 4 , d ) 4.5 , e ) 6", + "Correct": "c", + "Explanation": "\"ans : c total time = 14 hrs let time traveled during 1 st day = x let time traveled during 2 nd day = x - 2 total time = 14 x + x - 2 = 14 x = 8 speed * time = distance s * 8 + ( s + 0.5 ) ( 8 - 2 ) = 52 solving s = 4.5 now speed for 2 nd day is 0.5 less than the 1 st day which is 4.5 thus speed for 2 nd day = 4 its simple algebra for s * 8 + ( s + 0.5 ) ( 8 - 2 ) = 52 but for some reason im getting 3.5 and not 4.5 . 8 s + 6 s + 3 = 52 14 s = 49 s = 3.5\"" + }, + { + "Answer": 19.99840012798976, + "Options": "a ) 22 , b ) 12 , c ) 67 , d ) 20 , e ) 81", + "Correct": "d", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 120 + 280 = 400 m . the time required = d / s = 400 / 20 = 20 sec . answer : d\"" + }, + { + "Answer": 57, + "Options": "a ) 57 minutes , b ) 14 minutes , c ) 39 minutes , d ) 40 minutes 20 seconds , e ) none of these", + "Correct": "a", + "Explanation": "in one cycle they fill 40 + 30 - 20 = 50 liters 950 = 50 * n = > n = 19 here n = number of cycles . total time = 19 * 3 = 57 as in one cycle there are 3 minutes . thus 57 minutes answer : a" + }, + { + "Answer": 625.0000000000002, + "Options": "a ) s . 375 , b ) s . 425 , c ) s . 625 , d ) s . 800 , e ) s . 850", + "Correct": "c", + "Explanation": "\"c ' s 1 day ' s work = 1 / 3 - ( 1 / 6 + 1 / 8 ) = 1 / 3 - 7 / 24 = 1 / 24 a ' s wages : b ' s wages : c ' s wages = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 c ' s share ( for 3 days ) = rs . ( 3 * 1 / 24 * 5000 ) = rs . 625 answer = c\"" + }, + { + "Answer": 270, + "Options": "a ) 160 , b ) 170 , c ) 270 , d ) 190 , e ) 200", + "Correct": "c", + "Explanation": "one man can complete the work in 36 * 75 = 2700 days = one time work to complete the work twice it will be completed in let m be the no . of worker assign for this therefore the eqn becomes m * 20 = 2 * 2700 m = 270 workers answer : c" + }, + { + "Answer": 75.75757575757576, + "Options": "a ) 21.21 , b ) 20.25 , c ) 32.25 , d ) 75.75 , e ) 62.61", + "Correct": "d", + "Explanation": "distance covered in 1 min = ( 20 * 1000 ) / 60 = 333.33 m circumference of the wheel = ( 2 * ( 22 / 7 ) * . 70 ) = 4.4 m no of revolution per min = 333.33 / 4.4 = 75.75 answer : d" + }, + { + "Answer": 60, + "Options": "a ) 77 kg , b ) 60 kg , c ) 77 kg , d ) 55 kg , e ) 47 kg", + "Correct": "b", + "Explanation": "\"in this type of question , first we will calculate the volume of water displaces then will multiply with the density of water . volume of water displaced = 3 * 2 * 0.01 = 0.06 m cube mass of man = volume of water displaced * density of water = 0.06 * 1000 = 60 kg answer : b\"" + }, + { + "Answer": 20, + "Options": "a ) 12 , 20 , b ) 20 , 20 , c ) 20 , 11 , d ) 20 , 12 , e ) 12 , 12", + "Correct": "d", + "Explanation": "explanation : if x : speed of boats man in still water y : speed of the river downstream speed ( ds ) = x + y upstream speed ( us ) = x \u00e2 \u20ac \u201c y x = ( ds + us ) / 2 y = ( ds \u00e2 \u20ac \u201c us ) / 2 in the above problem ds = 32 ; us = 8 x = ( 32 + 8 ) / 2 = 40 / 2 = 20 km / hr y = ( 32 - 8 ) / 2 = 24 / 2 = 12 km / hr answer : d" + }, + { + "Answer": 12.5, + "Options": "a ) 12.5 m , b ) 10 m , c ) 17.5 m , d ) 21.25 m , e ) 9.8 m", + "Correct": "a", + "Explanation": "\"let the height of the building x metres . less lengthy shadow , less in the height ( direct proportion ) 40.25 : 28.75 : : 17.5 : x 40.25 * x = 28.75 * 17.5 x = ( 28.75 x 17.5 ) / 40.25 x = 12.5 answer is a .\"" + }, + { + "Answer": 40, + "Options": "a ) 15 , b ) 44 , c ) 40 , d ) 27 , e ) 12", + "Correct": "c", + "Explanation": "\"speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 * ( 2 / 25 ) = 40 seconds answer : c\"" + }, + { + "Answer": 75, + "Options": "a ) 50 days , b ) 60 days , c ) 70 days , d ) 75 days , e ) 90 days", + "Correct": "d", + "Explanation": "exp : we have , m 1 d 1 = m 2 d 2 600 * 25 = 200 * d 2 d 2 = 600 * 25 / 200 = 75 days . answer : d" + }, + { + "Answer": 390, + "Options": "a ) 300 , b ) 350 , c ) 390 , d ) 400 , e ) 450", + "Correct": "c", + "Explanation": "gain 5 min every 1 hr degrees moves = = > 390 answer c" + }, + { + "Answer": 5, + "Options": "a ) 1 minutes , b ) 2 minutes , c ) 3 minutes , d ) 4 minutes , e ) 5 minutes", + "Correct": "e", + "Explanation": "\"it will take 5 minutes for 100 cats to kill 100 rats . 1 cat can kill 1 rat in 5 minutes , so 100 cats can kill 100 rats in 5 minutes answer e\"" + }, + { + "Answer": 1.2, + "Options": "a ) 1.2 day , b ) 2.0 days , c ) 3 days , d ) 4.2 days , e ) 5 days", + "Correct": "a", + "Explanation": "the length of cloth painted by one man in one day = 48 / 4 \u00d7 2 = 6 m no . of days required to paint 36 m cloth by 6 men = 36 / 6 \u00d7 5 = 1.2 day . a" + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 10 days , b ) 5 days , c ) 6 days , d ) 7 days , e ) 8 days", + "Correct": "c", + "Explanation": "man 1 day work = 1 / 10 man 2 day work = 1 / 15 both work = 1 / 10 + 1 / 15 = = = > 3 + 2 / 30 = = > 1 / 6 answer c" + }, + { + "Answer": 0.16666666666666666, + "Options": "a ) 1 / 5 , b ) 1 / 1 , c ) 1 / 6 , d ) 1 / 3 , e ) 1 / 7", + "Correct": "c", + "Explanation": "\"a ' s one day ' s work = 1 / 30 b ' s one day ' s work = 1 / 45 ( a + b ) ' s one day ' s work = 1 / 30 + 1 / 45 = 1 / 18 the part of the work completed in 3 days = 3 ( 1 / 18 ) = 1 / 6 . answer : c\"" + }, + { + "Answer": 11, + "Options": "a ) 60 hours , b ) 6 hours , c ) 30 hours , d ) 11 hours , e ) 10 hours", + "Correct": "d", + "Explanation": "\"solution : number of minutes in 1 hour = 60 minutes so just divide 660 by 60 660 \u00e3 \u00b7 60 = 11 , so there are 11 hours in 660 minutes option d\"" + }, + { + "Answer": 27, + "Options": "a ) 25 days , b ) 88 days , c ) 21 days , d ) 27 days , e ) 13 days", + "Correct": "d", + "Explanation": "\"wc = 2 : 1 2 x + x = 1 / 9 x = 1 / 27 = > 27 days answer : d\"" + }, + { + "Answer": 1, + "Options": "a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", + "Correct": "b", + "Explanation": "let ' s find a number which when divided by 5 leaves remainder 2 = 5 + 2 = 7 i . e . one possible value of m = 7 value of 3 m = 3 * 7 = 21 when em is divided by 5 then remainder = rem ( 21 / 5 ) = 1 answer : option b" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 5 , c ) 6 , d ) 4 , e ) 9", + "Correct": "c", + "Explanation": "let the speed of the man in still water and speed of stream be x kmph and y kmph respectively . given x + y = 18 - - - ( 1 ) and x - y = 6 - - - ( 2 ) from ( 1 ) & ( 2 ) 2 x = 24 = > x = 12 , y = 6 . answer : c" + }, + { + "Answer": 450, + "Options": "a ) 287 , b ) 350 , c ) 828 , d ) 450 , e ) 122", + "Correct": "d", + "Explanation": "\"speed = 300 / 18 = 50 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 45 = 50 / 3 3 x + 900 = 2250 = > x = 450 m . answer : d\"" + }, + { + "Answer": 882, + "Options": "a ) 882 , b ) 901 , c ) 1001 , d ) 1003 , e ) 1346", + "Correct": "a", + "Explanation": "for the first 9 butterflies we need 9 stickers . for the next 90 we need 2 stickers each or 180 stickers . for the next 900 butterflies we need 3 stickers each . the first 99 butterflies correspond to 189 stickers . subtract 99 from the total number of butterflies ( 330 ) . this leaves 231 butterflies that use 3 stickers each . so , multiply 231 by 3 to get 693 . add 693 to 189 stickers to get 882 stickers . answer : a" + }, + { + "Answer": 55, + "Options": "a ) 45 minutes , b ) 50 minutes , c ) 55 minutes , d ) 52 minutes , e ) 35 minutes", + "Correct": "c", + "Explanation": "as they arrived 10 minutes earlier than usual , they saved 10 minutes on round trip from home to station ( home - station - home ) - - > 5 minutes in each direction ( home - station ) - - > wife meets husband 5 minutes earlier the usual meeting time - - > husband arrived an hour earlier the usual meeting time , so he must have spent waking the rest of the time before their meeting , which is hour - 5 minutes = 55 minutes . answer : c" + }, + { + "Answer": 5.399568034557236, + "Options": "a ) 3 , b ) 5.4 , c ) 4.3 , d ) 6.5 , e ) 7", + "Correct": "b", + "Explanation": "\"t = 75 / 50 * 18 / 5 = 5.4 sec answer : b\"" + }, + { + "Answer": 2.0833333333333335, + "Options": "a ) 3.0 , b ) 2.25 , c ) 2.08 , d ) 1.75 , e ) 2.0", + "Correct": "c", + "Explanation": "distance from x to z = 5 hr * 50 mph = 250 miles hence distance from y to z = 1 / 2 * 250 = 125 time = 125 / 60 = 2.08 hrs imo : c" + }, + { + "Answer": 560, + "Options": "a ) 270 km , b ) 890 km , c ) 684 km , d ) 320 km , e ) 560 km", + "Correct": "e", + "Explanation": "let the distance travelled be x km . total time = ( x / 2 ) / 35 + ( x / 2 ) / 40 = 12 = > x / 70 + x / 80 = 12 = > ( 8 x + 7 x ) / 560 = 12 = > x = 560 km answer : e" + }, + { + "Answer": 40, + "Options": "a ) 35 , b ) 20 , c ) 47 , d ) 36 , e ) 40", + "Correct": "e", + "Explanation": "\"1 : 2 / 5 = 5 : 2 2 / 7 * 140 = 40 answer : e\"" + }, + { + "Answer": 150, + "Options": "a ) 150 m , b ) 200 m , c ) 125 m , d ) 115 m , e ) none", + "Correct": "a", + "Explanation": "answer \u2235 8 m shadow means original height = 12 m \u2234 1 m shadow means original height = 12 / 8 m \u2234 100 m shadow means original height = ( 12 / 8 ) x 100 m = ( 6 / 4 ) x 100 = 6 x 25 = 150 m correct option : a" + }, + { + "Answer": 6, + "Options": "a ) 5.2 hrs , b ) 2.9 hrs , c ) 1.9 hrs , d ) 6 hrs , e ) 5 hrs", + "Correct": "d", + "Explanation": "\"net part filled in 1 hour = ( 1 / 3 - 1 / 6 ) = 1 / 6 the cistern will be filled in 6 / 1 hrs i . e . , 6 hrs . answer : d\"" + }, + { + "Answer": 7, + "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 7 , e ) 10", + "Correct": "d", + "Explanation": "\"420 / 10 = 42 the difference is 42 - 35 = 7 . answer d\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 3 , c ) 5 , d ) 2 , e ) 1", + "Correct": "a", + "Explanation": "\"1 / 7 + 1 / 14 + 1 / 28 = 7 / 28 = 1 / 4 = > 4 days answer a\"" + }, + { + "Answer": 25, + "Options": "a ) 35 , b ) 15 , c ) 20 , d ) 25 , e ) 30", + "Correct": "d", + "Explanation": "d = rt m : r = 50 mph , t = t + 1 / 4 hr d = 50 ( t + 1 / 4 ) p : r = 80 , t = t d = 80 t since they went the same distance : 50 t + 50 / 4 = 80 t 30 t = 50 / 4 = 50 / 120 * 60 = 25 min t = 25 min d" + }, + { + "Answer": 4, + "Options": "a ) 12 , b ) 20 , c ) 88 , d ) 77 , e ) 4", + "Correct": "e", + "Explanation": "\"1 : 2 / 5 = 5 : 2 2 / 7 * 14 = 4 answer : e\"" + }, + { + "Answer": 60, + "Options": "['a ) 40', 'b ) 45', 'c ) 50', 'd ) 55', 'e ) 60']", + "Correct": "e", + "Explanation": "the volume the tank is : length * width * depth = 10 * 6 * 5 = 300 cubic feet . 300 cubic feet / 5 cubic feet per hour = 60 hours . it will take 60 hours to fill the tank . the answer is e ." + }, + { + "Answer": 3.6315789473684212, + "Options": "a ) 3.6 hr , b ) 5.25 hr , c ) 8.25 hr , d ) 2.25 hr , e ) 2.50 hr", + "Correct": "a", + "Explanation": "\"speed of boat in still water = 13 km / hr speed of the stream = 6 km / hr speed downstream = ( 13 + 6 ) = 19 km / hr time taken to travel 69 km downstream = 69 \u00e2 \u0081 \u201e 19 = 17 \u00e2 \u0081 \u201e 4 = 3.6 hours answer is a\"" + }, + { + "Answer": 7, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 5", + "Correct": "b", + "Explanation": "\"the sum of three consecutive integers can be written as n + ( n + 1 ) + ( n + 2 ) = 3 n + 3 if the sum is 24 , we need to solve the equation 3 n + 3 = 18 ; = > 3 n = 15 ; = > n = 5 the greatest of the three numbers is therefore 5 + 2 = 7 answer : b\"" + }, + { + "Answer": 1200, + "Options": "a ) 1000 km , b ) 700 km , c ) 800 km , d ) 1400 km , e ) 1200 km", + "Correct": "e", + "Explanation": "\"distance = time x speed distance = 150 x 8 = 1200 answer : e\"" + }, + { + "Answer": 5000, + "Options": "a ) 2000 , b ) 4500 , c ) 5000 , d ) 8000 , e ) 9000", + "Correct": "c", + "Explanation": "\"number of bottles that can be held in a case = 13 number of cases required to hold 65000 bottles = 65000 / 13 = 5000 cases . so the answer is c = 5000\"" + }, + { + "Answer": 100, + "Options": "a ) $ 100 , b ) $ 200 , c ) $ 250 , d ) $ 300 , e ) $ 500", + "Correct": "a", + "Explanation": "b ' s daily earnings = 600 - 400 = $ 200 a ' s daily earnings = 600 - 300 = $ 300 c ' s daily earnings = 600 - 200 - 300 = $ 100 answer is a" + }, + { + "Answer": 10, + "Options": "a ) 6 days , b ) 5 days , c ) 10 days , d ) 9 days , e ) 8 days", + "Correct": "c", + "Explanation": "a ' s work per hour = 1 / 15 b ' s work per hour = 1 / 15 a & b ' s work per hour together = ( 1 / 15 ) + ( 1 / 15 ) = 2 / 15 so a & b together complete the work in 15 / 2 hours . . . if they work 2 1 / 2 = 5 / 2 hours a day , it will take ( 15 / 2 ) / ( 3 / 4 ) days = 10 days . . . answer : c" + }, + { + "Answer": 366.66666666666674, + "Options": "a ) 288 , b ) 350 , c ) 889 , d ) 367 , e ) 234", + "Correct": "d", + "Explanation": "\"speed = 300 / 18 = 50 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 40 = 50 / 3 3 x + 900 = 2000 = > x = 367 m . answer : d\"" + }, + { + "Answer": 5.142857142857143, + "Options": "a ) 6.15 , b ) 5.15 , c ) 3.15 , d ) 1.15 , e ) 7.15", + "Correct": "b", + "Explanation": "\"sol . speed = [ 98 x 5 / 18 ] m / sec = 27.2 m / sec . time taken = ( 140 / 27.2 ) sec = 5.15 sec . answer b\"" + }, + { + "Answer": 120, + "Options": "a ) 120 kmph , b ) 150 kmph , c ) 50 kmph , d ) 80 kmph , e ) 75 kmph", + "Correct": "a", + "Explanation": "\"let speed of the car be x kmph . then , speed of the train = 150 / 100 x = 3 / 2 x kmph . 75 / x - 75 / ( 3 / 2 ) x = 125 / 10 x 60 75 / x - 50 / x = 5 / 24 x = 25 x 24 / 5 = 120 kmph . answer : a\"" + }, + { + "Answer": 10.000000000000002, + "Options": "a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", + "Correct": "a", + "Explanation": "\"in 5 minutes , the cyclist travels a distance of ( 5 / 60 ) * 12 = 1 km . the time it takes the hiker to complete this distance is 1 / 4 hours = 15 minutes the cyclist needs to wait 15 - 5 = 10 minutes the answer is a .\"" + }, + { + "Answer": 1.4998800095992322, + "Options": "a ) 2.5 sec , b ) 2.8 sec , c ) 7.5 sec , d ) 2.3 sec , e ) 1.5 sec", + "Correct": "e", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 60 / 40 = 1.5 sec . answer : e\"" + }, + { + "Answer": 20.99832013438925, + "Options": "a ) 18.9 sec , b ) 88.9 sec , c ) 22.9 sec , d ) 21.00 sec , e ) 72.0 sec", + "Correct": "d", + "Explanation": "\"d = 110 + 240 = 350 m s = 60 * 5 / 18 = 50 / 3 t = 350 * 3 / 50 = 21.00 sec answer : d\"" + }, + { + "Answer": 15.999999999999998, + "Options": "a ) 14 , b ) 15 , c ) 16 , d ) 18 , e ) 20", + "Correct": "c", + "Explanation": "\"40 printing presses can do 1 / 12 of the job each hour . 30 printing presses can do 3 / 4 * 1 / 12 = 1 / 16 of the job each hour . the answer is c .\"" + }, + { + "Answer": 6.666666666666667, + "Options": "a ) 76 hrs , b ) 99 hrs , c ) 55 hrs , d ) 20 / 3 hrs , e ) 11 hrs", + "Correct": "d", + "Explanation": "\"1 / 4 - 1 / x = 1 / 10 = > 20 / 3 hrs answer : d\"" + }, + { + "Answer": 350.048, + "Options": "a ) 230 m , b ) 350 m , c ) 260 m , d ) 270 m , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : speed = [ 72 x ( 5 / 18 ) ] m / sec = 20 m / sec . time = 30 sec . let the length of the train be x metres . then , [ ( x + 250 ) / 30 ] = 20 = > x + 250 = 600 = > x = 350 . answer : b\"" + }, + { + "Answer": 31.99744020478362, + "Options": "a ) 28 , b ) 32 , c ) 36 , d ) 40 , e ) 44", + "Correct": "b", + "Explanation": "\"the speed of the boat downstream = 6 + 3 = 9 km / hr 9 km / hr * 5 / 18 = 2.5 m / s the time taken to cover 80 meters = 80 / 2.5 = 32 seconds . the answer is b .\"" + }, + { + "Answer": 75, + "Options": "a ) q = 60 , b ) q = 70 , c ) q = 75 , d ) 80 , e ) 100", + "Correct": "c", + "Explanation": "we can also use the concept of man - days here 100 days - - > 10 men so the job includes 100 * 10 = 1000 man - days after 20 days 1 / 4 of job is completed so 1 / 4 x 1000 man - days = 250 man - days job is done now the balance job = 1000 - 250 = 750 man - days worth of job since 2 men are fired so b / l men = 8 therefore total no . of days of job = 750 man - day / 8 days = 375 / 4 = 94 days ( approx . ) now since this is total and ques . is asking for additional no . of days , so 94 - 20 = 74 days the nearest approx . to answer is 75 ans : c ( 75 days )" + }, + { + "Answer": 120, + "Options": "a ) 128 , b ) 177 , c ) 199 , d ) 120 , e ) 150", + "Correct": "d", + "Explanation": "let the length of the train be x meters and its speed be y m / sec . they , x / y = 11 = > y = x / 11 x + 120 / 22 = x / 11 x = 120 m . answer : d" + }, + { + "Answer": 16, + "Options": "a ) 16 , b ) 7 , c ) 9 , d ) 14 , e ) 24", + "Correct": "a", + "Explanation": "\"a carpenter worked only 1 day on something that takes him 7 more days . means ; carpenter finishes his work in 8 days . let his buddy finish the same task in x days . respective rates per day : 1 / 8 and 1 / x to complete 1 work : first guy worked for 5 days @ rate = 1 / 8 per day . second one worked for 4 days @ rate = 1 / x per day expression : days * rate = work 5 * 1 / 8 + 4 * 1 / x = 1 5 x + 32 = 8 x 2 x = 32 x = 16 days . ans : a\"" + }, + { + "Answer": 450.00000000000017, + "Options": "a ) s . 375 , b ) s . 450 , c ) s . 600 , d ) s . 800 , e ) s . 850", + "Correct": "b", + "Explanation": "c ' s 1 day ' s work = 1 / 3 - ( 1 / 6 + 1 / 8 ) = 1 / 3 - 7 / 24 = 1 / 24 a ' s wages : b ' s wages : c ' s wages = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 c ' s share ( for 3 days ) = rs . ( 3 * 1 / 24 * 3600 ) = rs . 450 answer = b" + }, + { + "Answer": 36.00000000000001, + "Options": "a ) 16 minutes , b ) 26 minutes , c ) 36 minutes , d ) 46 minutes , e ) 56 minutes", + "Correct": "c", + "Explanation": "for 1 hour , 10 minutes is slower , then for 06 miuntes - 1 minutes is slower 30 minutes - 5 minutes actual time false time 12 12 01 pm 12.50 pm ( 10 minutes slower ) 02 pm 01.40 pm ( 12.50 + 60 min - 10 minutes slower ) 03 pm 02.30 pm ( 01.40 + 60 min - 10 minutes slower ) 03.36 pm 03.00 pm ( 02.30 + 36 min - 6 minutes slower ) so , 36 minutes will be lost when it is showing 3.00 pm . and the actual time is 3.36 pm answer : c" + }, + { + "Answer": 180.0144, + "Options": "a ) 180 meters , b ) 1111 meters , c ) 1777 meters , d ) 1822 meters , e ) none of these", + "Correct": "a", + "Explanation": "\"train overtakes a bike means that we are talking about total length of the train . ( train ' s head is close to bike when it started and its tail crosses the bike when it overtakes the bike ) relative speed = 100 - 64 = 36 km / h = 36000 m / h time = 18 seconds distance = speed * time 36000 * 18 / 3600 = 180 meters . a is the answer .\"" + }, + { + "Answer": 19, + "Options": "a ) 15 hrs , b ) 18 hrs , c ) 19 hrs , d ) 17 hrs , e ) 16 hrs", + "Correct": "c", + "Explanation": "\"if monkey hops 3 ft and slips back 2 ft in a hour , it means the monkey hops ( 3 ft - 2 ft ) = 1 ft / hr . similarly in 18 hrs it wil be 18 ft . but since the height of the tree is 21 ft , so if the monkey hops up the tree in the next hr i . e 19 th hr then it reaches at the top of the tree . hence it takes 19 hrs for monkey to reach at the top answer : c\"" + }, + { + "Answer": 45, + "Options": "a ) 42 , b ) 45 , c ) 46 , d ) 48 , e ) 50", + "Correct": "b", + "Explanation": "\"the time it takes cara to drive to city b is 180 / 30 = 6 hours . dan needs to take less than 4 hours for the trip . dan needs to exceed a constant speed of 180 / 4 = 45 miles per hour . the answer is b .\"" + }, + { + "Answer": 235, + "Options": "a ) 235 , b ) 240 , c ) 245 , d ) 250 , e ) 255", + "Correct": "a", + "Explanation": "\"speed = 45 * 5 / 18 = 25 / 2 m / sec . time = 30 sec let the length of bridge be x meters . then , ( 140 + x ) / 30 = 25 / 2 x = 235 m . answer : option a\"" + }, + { + "Answer": 48, + "Options": "a ) 8 , b ) 12 , c ) 18 , d ) 24 , e ) 48", + "Correct": "e", + "Explanation": "in : we have : 1,000 / 2 min = 500 litres per minute out : we have : 1,000 / 4 + 1,000 / 6 then do : in - out to figure out the net inflow per minute ( you get 83.3 ) . then divide the total number of litres you need ( 4,000 by that net inflow to get the minutes ) - 48 min . answer e ." + }, + { + "Answer": 21.005164601010506, + "Options": "a ) 17 , b ) 21 , c ) 19 , d ) 11 , e ) 12", + "Correct": "b", + "Explanation": "\"36 / 7 r = 108 = > r = 21 answer : b\"" + }, + { + "Answer": 750, + "Options": "['a ) 75 cu . m', 'b ) 750 cu . m', 'c ) 7500 cu . m', 'd ) 75000 cu . m', 'e ) none of these']", + "Correct": "b", + "Explanation": "solution area = ( 1.5 \u00d7 10000 ) m 2 = 45000 m 2 . depth = m = m . \u2234 volume = ( area \u00d7 depth ) = m 3 = 750 m 3 . answer b" + }, + { + "Answer": 80, + "Options": "a ) 60 , b ) 50 , c ) 80 , d ) 70 , e ) 65", + "Correct": "c", + "Explanation": "\"time = 6 distance = 720 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 720 / 9 = 80 kmph answer c .\"" + }, + { + "Answer": 1000, + "Options": "a ) 800 , b ) 950 , c ) 900 , d ) 1000 , e ) 1250", + "Correct": "d", + "Explanation": "\"50 kmph consumption is 1 lt / hr so 500 km will take 10 hrs and the consumption is 10 lt for entire distance . 1 lt costs $ 50 so 10 lt costs $ 500 extra expenses for 1 hr - $ 50 10 hrs - $ 500 total expense - $ 500 + $ 500 = $ 1000 answer : d\"" + }, + { + "Answer": 100, + "Options": "a ) 228 , b ) 217 , c ) 100 , d ) 288 , e ) 772", + "Correct": "c", + "Explanation": "\"3 x 4 x 5 x 6 9 4 18 x + 36 x + 20 x = 1480 74 x = 1480 = > x = 20 5 x = 100 rs . answer : c\"" + }, + { + "Answer": 240, + "Options": "a ) 104 kmph , b ) 194 kmph , c ) 109 kmph , d ) 174 kmph , e ) 240 kmph", + "Correct": "e", + "Explanation": "624 / 2 3 / 5 = 240 kmph answer : e" + }, + { + "Answer": 8, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", + "Correct": "e", + "Explanation": "\"total distance = 74 kms maxwell speed = 4 kms / hr maxwell travelled for 1 hour before brad started , therefore maxwell traveled for 4 kms in 1 hour . time taken = total distance / relative speed total distance after brad started = 70 kms relative speed ( opposite side ) ( as they are moving towards each other speed would be added ) = 6 + 4 = 10 kms / hr time taken to meet brad after brad started = 70 / 10 = 7 hrs distance traveled by maxwell = maxwell ' s speed * time taken = 4 * 7 = 28 + 4 = 32 kms . . . therefore total time taken by maxwell to meet brad = distance travelled by maxwell / maxwell ' s speed = 32 / 4 = 8 hrs . . . answer e\"" + }, + { + "Answer": 100, + "Options": "a ) 75 m . , b ) 80 m . , c ) 150 m . , d ) 100 m . , e ) none of the above", + "Correct": "d", + "Explanation": "\"ratio of speeds of a and b is 2 : 1 b is 50 m away from a but we know that a covers 1 meter ( 2 - 1 ) more in every second than b the time taken for a to cover 50 m is 50 / 1 = 50 m so the total time taken by a and b to reach = 2 * 50 = 100 m answer : d\"" + }, + { + "Answer": 490.90909090909093, + "Options": "a ) 440 , b ) 490 , c ) 640 , d ) 740 , e ) 250", + "Correct": "b", + "Explanation": "\"speed of aeroplane = 450 kmph distance travelled in 4 hours = 450 * 4 = 1800 km speed of aeroplane to acver 1800 km in 11 / 3 = 1800 * 3 / 11 = 490 km answer b .\"" + }, + { + "Answer": 99.80000000000001, + "Options": "a ) 102 m sqaure , b ) 100 m sqaure , c ) 152 m sqaure , d ) 164 m sqaure , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : area of the wet surface = 2 [ lb + bh + hl ] - lb = 2 [ bh + hl ] + lb = 2 [ ( 6 * 1.85 + 8 * 1.85 ) ] + 8 * 6 = 100 m square option b\"" + }, + { + "Answer": 27, + "Options": "a ) 27 , b ) 23 , c ) 24 , d ) 25 , e ) 26", + "Correct": "a", + "Explanation": "1 / x + 1 / 2 x = 1 / 18 = > 3 / 2 x = 1 / 18 = > x = 27 days . hence , a alone can finish the work in 27 days . answer : a" + }, + { + "Answer": 5, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", + "Correct": "c", + "Explanation": "\"20 / ( 2 * 2 ) = 5 days answer : c\"" + }, + { + "Answer": 1650, + "Options": "['a ) 20 ft', 'b ) 25 ft', 'c ) 750 ft', 'd ) 900 ft', 'e ) 1650 ft']", + "Correct": "e", + "Explanation": "point to note : both the wheels would have traveled the same distance . now consider , no . of revolutions made by back wheel as x , which implies that the number of revolutions made by the front wheel is ( x + 5 ) . equating the distance traveled by front wheel to back wheel : ( x + 5 ) * 30 = x * 33 . ( formula for calculating the distance traveled by each wheel is : # of revolutions * circumference . ) solving this eqn . gives x = 50 . sub x = 50 either in ( x + 5 ) * 30 or in x * 33 to get the distance , which is 1650 . so the correct choice is e ." + }, + { + "Answer": 300, + "Options": "a ) 20 , b ) 150 , c ) 225 , d ) 300 , e ) 320", + "Correct": "d", + "Explanation": "\"4 options for the first digit : 2 , 4 , 6 , 8 ; 5 options for the second digit : 1 , 3 , 5 , 7 , 9 ; 4 options for the third digit : 2 , 3 , 5 , 7 ; 4 options for the fourth digit : 0 , 3 , 6 , 9 . four digit # possible without the restriction ( about the digit 2 ) : 4 * 5 * 4 * 4 = 320 numbers with two 2 - s , 2 x 2 x 1 * 5 * 1 * 4 = 20 . thus there are 320 - 20 = 300 such numbers . answer : d .\"" + }, + { + "Answer": 7, + "Options": "a ) 2 , b ) 4 , c ) 7 , d ) 12 , e ) 15", + "Correct": "c", + "Explanation": "\"sol . speed in still water = 1 / 2 ( 9 + 5 ) kmph = 7 kmph . answer c\"" + }, + { + "Answer": 27.999999999999993, + "Options": "a ) 35 , b ) 20 , c ) 28 , d ) 36 , e ) 30", + "Correct": "c", + "Explanation": "\"1 : 2 / 3 = 3 : 2 2 / 5 * 70 = 28 answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 14 min , b ) 18 min , c ) 25 min , d ) 32 min , e ) 40 min", + "Correct": "e", + "Explanation": "\"tank capacity : 2000 l , 1 st - 200 l / min for 1 min , volume filled : 200 l 2 nd - 100 l / min for 2 min , volume filled : 100 l 3 rd ( water draining ) : 25 l / min * 2 : 50 l total : ( 200 + 100 ) - 50 = 250 l filled for 1 cycle number of 250 in 2000 l tank : 2000 / 250 = 8 time taken to fill : 8 * total time = 8 * 5 = 40 ( option e )\"" + }, + { + "Answer": 6, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", + "Correct": "c", + "Explanation": "\"2 / 4 + ( 2 + x ) / 16 = 1 = > x = 6 days answer : c\"" + }, + { + "Answer": 47, + "Options": "a ) 45 , b ) 56 , c ) 47 , d ) 57 , e ) 49", + "Correct": "c", + "Explanation": "\"explanation : with all the talk of doubling and halves , your brain jumps to the conclusion that to solve the problem of when the lily patch covers half the lake , all you have to do is divide the number of days it took to fill the lake ( 48 ) in half . it ' s understandable but wrong . the problem says that the patch doubles in size every day , which means that on any day , the lily patch was half the size the day before . so if the patch reaches the entire size of the lake on the 48 th day , it means the lily pad was half the size of the lake on day 47 . correct answer is c ) 47\"" + }, + { + "Answer": 30.000000000000004, + "Options": "a ) 16 kmph , b ) 30 kmph , c ) 54 kmph , d ) 18 kmph , e ) 19 kmph", + "Correct": "b", + "Explanation": "\"s = 100 / 12 * 18 / 5 = 30 kmph answer : b\"" + }, + { + "Answer": 3.2, + "Options": "a ) 2 , b ) 48 / 15 , c ) 7 / 9 , d ) 10 , e ) 24 / 7", + "Correct": "b", + "Explanation": "a + b + c 1 day work = 1 / 16 + 1 / 6 + 1 / 12 = 15 / 48 a , b , c together will complete the job in 48 / 15 days answer is b" + }, + { + "Answer": 19.2, + "Options": "a ) 23 , b ) 22 , c ) 21 , d ) 20 , e ) 19.2", + "Correct": "e", + "Explanation": "\"man - hours required to asphalt 1 km road = 30 * 12 * 8 = 2880 man - hours required to asphalt 2 km road = 2880 * 2 = 5760 man - hours available per day = 20 * 15 = 300 therefore number of days = 5760 / 300 = 19.2 days ans = e\"" + }, + { + "Answer": 12.5, + "Options": "a ) 8.5 , b ) 10.5 , c ) 12.5 , d ) 14.5 , e ) 16.5", + "Correct": "c", + "Explanation": "let x be the rate of the slower pump . then 1.5 x is the rate of the faster pump . both pumps together can fill 1 / 5 of the pool each hour . 2.5 x = 1 / 5 x = 1 / 12.5 = 2 / 25 the slower pump could fill the pool in 25 / 2 = 12.5 hours . the answer is c ." + }, + { + "Answer": 230.03999999999996, + "Options": "a ) 210 m , b ) 220 m , c ) 230 m , d ) 240 m , e ) 250 m", + "Correct": "c", + "Explanation": "\"relative speeds = ( 120 + 80 ) km / hr = 200 km / hr = ( 200 * 5 / 18 ) m / s = ( 500 / 9 ) m / s let length of train be xm x + 270 / 9 = 500 / 9 x = 230 ans is 230 m answer : c\"" + }, + { + "Answer": 17.998560115190784, + "Options": "a ) 15 , b ) 17 , c ) 15 , d ) 16 , e ) 18", + "Correct": "e", + "Explanation": "d = 200 + 200 = 400 m s = 80 * 5 / 18 = 200 / 9 t = 400 * 9 / 200 = 18 sec answer : e" + }, + { + "Answer": 144, + "Options": "a ) 144 km , b ) 30 km , c ) 48 km , d ) 12 km , e ) 15 km", + "Correct": "a", + "Explanation": "\"speed of down stream = 10 + 2 = 12 kmph speed of upstream = 10 - 2 = 8 kmph let the required distance be xkm x / 12 + x / 8 = 30 2 x + 3 x = 720 x = 144 km answer is a\"" + }, + { + "Answer": 40, + "Options": "a ) q = 26.7 , b ) q = 30.0 , c ) q = 40.0 , d ) q = 53.3 , e ) q = 60.0", + "Correct": "c", + "Explanation": "\"veritas prepofficial solution correct answer : c using the formula : time = distance / rate , we find that mike takes 4 hours to cover the first 320 miles of his trip . since the 2 nd 320 miles take 200 % longer than the first , it takes mike 8 hours longer , or 12 hours . ( note : 200 % longer than the first half is not 200 % of the first half . ) the overall time is 4 hours + 12 hours or 16 hours . since the definition of average rate = total distance traveled / total time of travel , mike ' s average rate = 640 / 16 or 40 miles per hour . answer choice c is correct .\"" + }, + { + "Answer": 20.571428571428573, + "Options": "a ) 24 , b ) 23 , c ) 24 , d ) 20.57 , e ) 22", + "Correct": "d", + "Explanation": "man - hours required to asphalt 1 km road = 30 * 12 * 8 = 2880 man - hours required to asphalt 2 km road = 2880 * 2 = 5760 man - hours available per day = 20 * 14 = 280 therefore number of days = 5760 / 280 = 20.57 days ans = d" + }, + { + "Answer": 24, + "Options": "a ) 10 , b ) 8 , c ) 12 , d ) 24 , e ) 16", + "Correct": "d", + "Explanation": "\"26 trees have 25 gaps between them . length of each gap = 600 / 25 = 24 i . e . , distance between two consecutive trees = 24 answer is d .\"" + }, + { + "Answer": 4, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 8", + "Correct": "c", + "Explanation": "experienced chefs work = 1 wedding / 6 hours novice chefs work = 1 wedding / 7 hours since we do n ' t know the number of experienced or novice chefs but know that there is an equal number each , let the number of chefs for each group equalx 1 hr and 36 mins = 8 / 5 an hour x / 6 + x / 7 = 1 wedding / ( 8 / 5 ) x / 6 + x / 7 = 5 / 8 x = 2 so there are 2 novice chefs and 2 experienced chefs . in total there are 4 . the answer is c ." + }, + { + "Answer": 350.03999999999996, + "Options": "a ) 220 meter , b ) 225 meter , c ) 230 meter , d ) 350 meter , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : as trains are running in opposite directions so their relative speed will get added so , relative speed = 120 + 80 = 200 kmph = 200 * ( 5 / 18 ) = 500 / 9 m / sec let the length of other train is x meter then x + 150 / 9 = 500 / 9 = > x + 150 = 500 = > x = 350 so the length of the train is 350 meters option d\"" + }, + { + "Answer": 5, + "Options": "a ) 1 hr , b ) 2 hrs , c ) 3 hrs , d ) 5 hrs , e ) 6 hrs", + "Correct": "d", + "Explanation": "\"to be ( 5 + 5 ) km apart , they take 1 hour to be 50 km apart , they take 1 / 10 * 50 = 5 hrs answer is d\"" + }, + { + "Answer": 3600, + "Options": "a ) 3600 , b ) 1800 , c ) 18 , d ) 18000 , e ) 1.8", + "Correct": "a", + "Explanation": "\"area of the hall = 3600 * 1500 area of each stone = ( 30 * 50 ) therefore , number of stones = ( 3600 * 1500 / 30 * 50 ) = 3600 answer : a\"" + }, + { + "Answer": 210, + "Options": "a ) 330 , b ) 300 , c ) 210 , d ) 250 , e ) 350", + "Correct": "c", + "Explanation": "\"the other number = l . c . m * h . c . f / given number = 2310 * 30 / 330 = 210 answer is c .\"" + }, + { + "Answer": 24, + "Options": "a ) 12 hours , b ) 24 hours , c ) 36 hours , d ) 48 hours , e ) none", + "Correct": "b", + "Explanation": "\"sol . speed upstream = 7.5 kmph ; speed downstream = 10.5 kmph . \u2234 total time taken = [ 105 / 7.5 + 105 / 10.5 ] hours = 24 hours . answer b\"" + }, + { + "Answer": 25.997920166386688, + "Options": "a ) 28 sec , b ) 23 sec , c ) 24 sec , d ) 25 sec , e ) 26 sec", + "Correct": "e", + "Explanation": "\"d = 110 + 150 = 260 s = 36 * 5 / 18 = 10 mps t = 260 / 10 = 26 sec e\"" + }, + { + "Answer": 18, + "Options": "a ) 18 , b ) 8 , c ) 12 , d ) 6 , e ) 4", + "Correct": "a", + "Explanation": "\"the part of the tank filled by three pipes in one hour = 1 / 12 = > the part of the tank filled by two pipes in 1 hour = 2 / 3 * 1 / 12 = 1 / 18 . the tank can be filled in 18 hours . answer : a\"" + }, + { + "Answer": 310, + "Options": "a ) 150 , b ) 88 , c ) 77 , d ) 310 , e ) 52", + "Correct": "d", + "Explanation": "\"length of the train be \u00e2 \u20ac \u02dc x \u00e2 \u20ac \u2122 x + 110 / 15 = x + 250 / 20 4 x + 440 = 3 x + 750 x = 310 m answer : d\"" + }, + { + "Answer": 68.6, + "Options": "a ) 69 m sqaure , b ) 49 m sqaure , c ) 52 m sqaure , d ) 64 m sqaure , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : area of the wet surface = 2 [ lb + bh + hl ] - lb = 2 [ bh + hl ] + lb = 2 [ ( 5 * 1.40 + 7 * 1.40 ) ] + 7 * 5 = 69 m square option a\"" + }, + { + "Answer": 108, + "Options": "a ) 102 kmph , b ) 106 kmph , c ) 108 kmph , d ) 62 kmph , e ) 72 kmph", + "Correct": "c", + "Explanation": "\"explanation : relative speed = 340 / 8 m / sec = ( ( 340 / 8 ) \u00d7 ( 18 / 5 ) ) kmph = 153 kmph . speed of goods train = ( 153 - 45 ) kmph = 108 kmph answer : option c\"" + }, + { + "Answer": 216, + "Options": "a ) 229 , b ) 108 , c ) 278 , d ) 216 , e ) 112", + "Correct": "d", + "Explanation": "\"s = 360 / 6 * 18 / 5 = 216 kmph answer : d\"" + }, + { + "Answer": 36, + "Options": "a ) 36 seconds , b ) 18 seconds , c ) 40 seconds , d ) 19 seconds , e ) 45 seconds", + "Correct": "a", + "Explanation": "\"speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 310 + 140 = 500 meter time = distance / speed = 450 * ( 2 / 25 ) = 36 seconds answer : a\"" + }, + { + "Answer": 14, + "Options": "a ) 12 , b ) 20 , c ) 88 , d ) 77 , e ) 14", + "Correct": "e", + "Explanation": "\"1 : 2 / 5 = 5 : 2 2 / 7 * 49 = 14 answer : e\"" + }, + { + "Answer": 6, + "Options": "a ) 4 , b ) 6 , c ) 10 , d ) 8 , e ) 11", + "Correct": "b", + "Explanation": "\"( 18 \u00e3 \u2014 15 \u00e3 \u2014 12 ) / ( 5 \u00e3 \u2014 3 \u00e3 \u2014 2 ) = 6 answer is b .\"" + }, + { + "Answer": 75, + "Options": "a ) 45 , b ) 55 , c ) 65 , d ) 75 , e ) 85", + "Correct": "d", + "Explanation": "\"explanation : total distance = distance traveled by person a + distance traveled by person b = ( 5 \u00e3 \u2014 5 ) + ( 10 \u00e3 \u2014 5 ) = 25 + 50 = 75 km answer : d\"" + }, + { + "Answer": 40, + "Options": "a ) a ) 35 , b ) b ) 38 , c ) c ) 90 , d ) d ) 88 , e ) e ) 40", + "Correct": "e", + "Explanation": "\"let the number of correct answers be x . number of incorrect answers = ( 60 \u2013 x ) . 4 x \u2013 ( 60 \u2013 x ) = 140 = > 5 x = 200 = > x = 40 answer : e\"" + }, + { + "Answer": 10, + "Options": "a ) 5 days , b ) 10 days , c ) 14 days , d ) 22 days , e ) 26 days", + "Correct": "b", + "Explanation": "\"explanation : work done by p in 1 day = 1 / 20 work done by q in 1 day = 1 / 12 work done by p in 4 days = 4 \u00d7 ( 1 / 20 ) = 1 / 5 remaining work = 1 \u2013 1 / 5 = 4 / 5 work done by p and q in 1 day = 1 / 20 + 1 / 12 = 8 / 60 = 2 / 15 number of days p and q take to complete the remaining work = ( 4 / 5 ) / ( 2 / 15 ) = 6 total days = 4 + 6 = 10 answer : option b\"" + }, + { + "Answer": 12.5, + "Options": "a ) 18 kmph , b ) 15.5 kmph , c ) 12.5 kmph , d ) 13.5 kmph , e ) 22.5 kmph", + "Correct": "c", + "Explanation": "speed in still water = ( 16 + 9 ) 1 / 2 kmph = 12.5 kmph . answer : c" + }, + { + "Answer": 258, + "Options": "a ) rs . 259 , b ) rs . 252 , c ) rs . 258 , d ) rs . 251 , e ) rs . 252", + "Correct": "c", + "Explanation": "\"area of cross roads = 55 * 4 + 35 * 4 - 4 * 4 = 344 sq m cost of graveling = 344 * ( 75 / 100 ) = rs . 258 answer : c\"" + }, + { + "Answer": 54, + "Options": "a ) 54 , b ) 66 , c ) 80 , d ) 36 , e ) 96", + "Correct": "a", + "Explanation": "\"a 54 it takes 3 hours for the friends to meet ; so the pigeon flies for 3 hours at 18 mph = 54 miles\"" + }, + { + "Answer": 0.5, + "Options": "a ) 0.5 metre , b ) 0.3 metre , c ) 0.8 metre , d ) 0.6 metre , e ) 0.7 metre", + "Correct": "a", + "Explanation": "area of field = 90 x 50 = 4500 m 2 area of field dug out = 25 x 20 = 500 m 2 therefore , area of remaining field = 4500 m 2 - 500 m 2 = 4000 m 2 volume of the earth dug out = 25 x 20 x 4 = 2000 m 3 therefore , field will rise by 2000 / 4000 = 0.5 metre answer a" + }, + { + "Answer": 3.5, + "Options": "a ) 3.625 , b ) 3 , c ) 4.5 , d ) 4 , e ) 3.5", + "Correct": "e", + "Explanation": "\"set up two r x t = d cases . 1 . 1 / 12 km / min x t = 2.75 from which t = 33 mins . we know total journey time now is 51 + 33 = 84 . the rate is the same ie 1 / 12 km / min . set up second r x t = d case . 1 / 12 km / min x 84 = 7 km now the total journey would be halved as distance would be same in each direction . 7 / 2 = 3.5 e .\"" + }, + { + "Answer": 16, + "Options": "a ) 4 , b ) 16 , c ) 5 , d ) 14 , e ) 11", + "Correct": "b", + "Explanation": "2 / 50 = x / 400 x = 16 answer is b" + }, + { + "Answer": 62, + "Options": "a ) 49 m 2 , b ) 50 m 2 , c ) 52 m 2 , d ) 62 m 2 , e ) 55 m 2", + "Correct": "d", + "Explanation": "\"area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 8 x 1.25 + 4 x 1.25 ) + 8 x 4 ] m 2 = 62 m 2 . answer : d\"" + }, + { + "Answer": 72, + "Options": "a ) 72 , b ) 108 , c ) 1266 , d ) 188 , e ) 211", + "Correct": "a", + "Explanation": "\"s = 180 / 9 * 18 / 5 = 72 kmph answer : a\"" + }, + { + "Answer": 175.02999999999997, + "Options": "a ) 175 , b ) 266 , c ) 350 , d ) 277 , e ) 232", + "Correct": "a", + "Explanation": "length of the platform = 54 * 5 / 18 * 25 = 375 \u2013 200 = 175 answer : a" + }, + { + "Answer": 148, + "Options": "a ) 130 km , b ) 120 km , c ) 100 km , d ) 140 km , e ) 148", + "Correct": "e", + "Explanation": "let the partial distance covered at 40 kmph be x let the another partial distance covered at 60 kmph be ( 250 - x ) thus , x / 40 - ( 250 - x ) / 60 = 5.4 or , x / 40 + ( 250 - x ) / 60 = 5.4 or , ( 3 x + 500 - 2 x ) / / 120 = 5.4 or 500 + x = 648 x = 148 answer : e" + }, + { + "Answer": 500, + "Options": "a ) 200 m , b ) 400 m , c ) 500 m , d ) 700 m , e ) none of the above", + "Correct": "c", + "Explanation": "sol . let the length of the train be x metres and its speed be y m / sec . then , x / y = 20 \u21d2 y = x / 20 \u2234 ( x + 500 ) / 40 = x / 20 \u21d4 x = 500 m . answer c" + }, + { + "Answer": 0.75, + "Options": "a ) 1 / 4 , b ) 1 / 6 , c ) 1 / 7 , d ) 3 / 4 , e ) none of these", + "Correct": "d", + "Explanation": "explanation : please note in this question , we need to answer part of work for a day rather than complete work . it was worth mentioning here because many do mistake at this point in hurry to solve the question so lets solve now , a ' s 1 day work = 1 / 4 b ' s 1 day work = 1 / 2 [ because b take half the time than a ] ( a + b ) ' s one day work = ( 1 / 4 + 1 / 2 ) = 3 / 4 so in one day 3 / 4 work will be done answer : d" + }, + { + "Answer": 20.571428571428573, + "Options": "a ) 25.8 , b ) 26.8 , c ) 27.8 , d ) 20.5 , e ) 21.8", + "Correct": "d", + "Explanation": "\"avg speed = 2 * x * y / ( x + y ) = 2 * 18 * 24 / ( 18 + 24 ) = 20.5 answer : d\"" + }, + { + "Answer": 15.000000000000004, + "Options": "a ) 76 hrs , b ) 99 hrs , c ) 15 hrs , d ) 90 hrs , e ) 11 hrs", + "Correct": "c", + "Explanation": "\"1 / 6 - 1 / x = 1 / 10 = > 15 hrs answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 36 , b ) 38 , c ) 40 , d ) 42 , e ) 45", + "Correct": "c", + "Explanation": "explanation : speed = 2 v 1 v 2 / v 1 \u2212 v 2 = 2 \u00d7 3 \u00d7 23 \u2212 2 = 12 km / h = hr distance = vt 1 ( 1 + v / v 1 ) = 12 \u00d7 40 / 60 ( 1 + 12 / 3 ) = 40 km answer is c" + }, + { + "Answer": 72, + "Options": "a ) 72 kmph , b ) 108 kmph , c ) 176 kmph , d ) 134 kmph , e ) 161 kmph", + "Correct": "a", + "Explanation": "\"s = 100 / 5 * 18 / 5 = 72 kmph answer : a\"" + }, + { + "Answer": 1872, + "Options": "a ) 1824 , b ) 1854 , c ) 1872 , d ) 1888 , e ) 1999", + "Correct": "c", + "Explanation": "explanation : area of the carpet = area of the room = ( 13 \u00d7 9 ) m 2 = 117 m 2 . length of the carpet = ( area / width ) = 117 \u00d7 ( 4 / 3 ) m = 156 m . therefore cost of carpeting = ( 156 \u00d7 12 ) = rs . 1872 answer : option c" + }, + { + "Answer": 15.001199999999999, + "Options": "a ) 10 mps , b ) 76 mps , c ) 15 mps , d ) 97 mps , e ) 16 mps", + "Correct": "c", + "Explanation": "\"54 * 5 / 18 = 15 mps answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 40 , b ) 54 , c ) 45 , d ) 39 , e ) none", + "Correct": "a", + "Explanation": "\"answer let number of toys be n . more hours , more toys ( direct proportion ) 2 : 80 : : 1 : n \u21d2 n = 80 / 2 = 40 toys correct option : a\"" + }, + { + "Answer": 13.999999999999995, + "Options": "a ) 5 hours , b ) 7 hours , c ) 8 hours , d ) 14 hours , e ) 18 hours", + "Correct": "d", + "Explanation": "\"work done by the leak in 1 hour = 1 / 2 - 3 / 7 = 1 / 14 . leak will empty the tank in 14 hrs . answer : d\"" + }, + { + "Answer": 40, + "Options": "a ) 12 min , b ) 25 min , c ) 40 min , d ) 48 min , e ) 52 min", + "Correct": "c", + "Explanation": "distance = speed * time 4 * 11 / 4 = 11 km new speed = 16.5 kmph therefore time = d / s = 11 / 16.5 = 40 min answer : c" + }, + { + "Answer": 3, + "Options": "a ) 2 hours , b ) 4 hours , c ) 3 hours , d ) 5 hours , e ) 6 hours", + "Correct": "c", + "Explanation": "\"in three minute 1 / 20 + 1 / 30 - 1 / 15 = 1 / 60 part is filled 3 min - - - - - - - - 1 / 60 parts x min - - - - - - - - - 1 part ( full ) x = 180 min = 3 hours answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 26.7 , b ) j = 30.0 , c ) j = 40.0 , d ) j = 53.3 , e ) 60.0", + "Correct": "c", + "Explanation": "veritas prepofficial solution correct answer : c using the formula : time = distance / rate , we find that mike takes 4 hours to cover the first 320 miles of his trip . since the 2 nd 320 miles take 200 % longer than the first , it takes mike 8 hours longer , or 12 hours . ( note : 200 % longer than the first half is not 200 % of the first half . ) the overall time is 4 hours + 12 hours or 16 hours . since the definition of average rate = total distance traveled / total time of travel , mike ' s average rate = 640 / 16 or 40 miles per hour . answer choice c is correct ." + }, + { + "Answer": 48, + "Options": "a ) 48 , b ) 34 , c ) 44 , d ) 54 , e ) 64", + "Correct": "a", + "Explanation": "\"the product of two integers is equal to the product of their lcm and gcf . hence . 14 \u00d7 n = 56 \u00d7 12 n = 56 \u00d7 12 / 14 = 48 correct answer a\"" + }, + { + "Answer": 115.00919999999999, + "Options": "a ) 201 mps , b ) 114 mps , c ) 118 mps , d ) 115 mps , e ) 111 mps", + "Correct": "d", + "Explanation": "\"414 * 5 / 18 = 115 mps answer : d\"" + }, + { + "Answer": 34.962830044410595, + "Options": "a ) 32.7 , b ) 32.4 , c ) 22.4 , d ) 34.9 , e ) 35.1", + "Correct": "d", + "Explanation": "\"36 / 7 r = 6.8 = 34.9 answer : d\"" + }, + { + "Answer": 58.4428877022476, + "Options": "a ) 43 , b ) 58 , c ) 60 , d ) 70 , e ) 80", + "Correct": "b", + "Explanation": "\"let speed of car r be = x then speed of car p = x + 10 a / q , ( 800 / x ) - ( 800 / ( x + 10 ) ) = 2 solving for x = 58 miles \\ hr . b\"" + }, + { + "Answer": 20, + "Options": "a ) 15 , b ) 17 , c ) 20 , d ) 8 , e ) 9", + "Correct": "c", + "Explanation": "\"son ' s 1 day ' s work = ( 1 / 4 ) - ( 1 / 5 ) = 1 / 20 the son alone can do the work in 20 days answer is c\"" + }, + { + "Answer": 450.00000000000006, + "Options": "a ) 150 meter , b ) 876 meter , c ) 167 meter , d ) 450 meter , e ) 169 meter", + "Correct": "d", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 27 = 450 meter answer : d\"" + }, + { + "Answer": 30, + "Options": "a ) 22 , b ) 30 , c ) 88 , d ) 71 , e ) 11", + "Correct": "b", + "Explanation": "\"x - - - - - - - 8 ( x + 10 ) - - - - 6 x * 8 = ( x + 10 ) 6 x = 30 \\ answer : b\"" + }, + { + "Answer": 2850, + "Options": "a ) 90 , b ) 2,700 , c ) 4,500 , d ) 5,400 , e ) 2,850", + "Correct": "e", + "Explanation": "together the two machines make 40 + 55 = 95 copies per minute . so , in half an hour they will make 95 * 30 = 2,850 copies . answer : e ." + }, + { + "Answer": 36, + "Options": "a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 39", + "Correct": "b", + "Explanation": "\"speed = 63 * 5 / 18 = 35 / 2 m / sec time taken = 630 * 2 / 35 = 36 sec answer : option b\"" + }, + { + "Answer": 60, + "Options": "a ) 45 min , b ) 60 min , c ) 55 min , d ) 70 min , e ) 80 min", + "Correct": "b", + "Explanation": "\"time = 50 / 60 hr = 5 / 6 hr speed = 48 mph distance = s * t = 48 * 5 / 6 = 40 km time = 40 / 60 hr = 2 / 3 hr new speed = 40 * 3 / 2 kmph = 60 kmph answer : b .\"" + }, + { + "Answer": 27, + "Options": "a ) 26 , b ) 28 , c ) 29 , d ) 30 , e ) 27", + "Correct": "e", + "Explanation": "let the numbers be x , x + 1 , x + 2 and x + 3 then , x + ( x + 1 ) + ( x + 2 ) + ( x + 3 ) = 102 4 x = 96 x = 24 greatest number , ( x + 3 ) = 27 answer : e" + }, + { + "Answer": 40, + "Options": "a ) 26.7 , b ) z = 30.0 , c ) z = 40.0 , d ) z = 53.3 , e ) 60.0", + "Correct": "c", + "Explanation": "\"veritas prepofficial solution correct answer : c using the formula : time = distance / rate , we find that mike takes 4 hours to cover the first 320 miles of his trip . since the 2 nd 320 miles take 200 % longer than the first , it takes mike 8 hours longer , or 12 hours . ( note : 200 % longer than the first half is not 200 % of the first half . ) the overall time is 4 hours + 12 hours or 16 hours . since the definition of average rate = total distance traveled / total time of travel , mike ' s average rate = 640 / 16 or 40 miles per hour . answer choice c is correct .\"" + }, + { + "Answer": 999, + "Options": "['a ) 978', 'b ) 789', 'c ) 999', 'd ) 778', 'e ) 787']", + "Correct": "c", + "Explanation": "a 2 = 3136 = > a = 56 56 * 4 * 3 = 672 \u2013 6 = 666 * 1.5 = 999 answer : c" + }, + { + "Answer": 3.6, + "Options": "a ) 1.5 , b ) 2 , c ) 2.4 , d ) 3 , e ) 3.6", + "Correct": "e", + "Explanation": "answer is 3.6 hours . tom does the complete house in 6 hours while nick does it in 9 hours . 1 / ( 1 / 6 + 1 / 9 ) = 3.6 answer is e" + }, + { + "Answer": 180, + "Options": "a ) 80 litres , b ) 90 litres , c ) 120 litres , d ) 180 litres , e ) none of these", + "Correct": "d", + "Explanation": "\"explanatory answer to cover a distance of 800 kms using a 800 cc engine , the amount of diesel required = 800 / 600 * 90 = 120 litres . however , the vehicle uses a 1200 cc engine and the question states that the amount of diesel required varies directly as the engine capacity . i . e . , for instance , if the capacity of engine doubles , the diesel requirement will double too . therefore , with a 1200 cc engine , quantity of diesel required = 1200 / 800 * 120 = 180 litres . answer d\"" + }, + { + "Answer": 64.79481641468682, + "Options": "a ) 41.1 sec , b ) 64.8 sec , c ) 31.8 sec , d ) 50.4 sec , e ) none of the above", + "Correct": "b", + "Explanation": "\"speed = 55 km / hr ( to convert km / hr in to m / s ) = 55 x 5 / 18 m / s distance = 470 m + 520 m ( if questions is about train crossing a post you need to consider only the length of train , ) = 990 m time = distance / speed = 990 x 18 / ( 5 x 55 ) = 64.8 sec ans is : b\"" + }, + { + "Answer": 9, + "Options": "a ) 6 hours , b ) 9 hours , c ) 14 hours , d ) 24 hours , e ) 32 hours", + "Correct": "b", + "Explanation": "\"i believe the answer is b . please see below for explanation . if jamshid can paint a dence in 50 percent less time then taimour we can infer the following rate j = 2 t if working together they can do the job in 8 hours we can infer 1 = 2 t + t * 3 = > 1 / 9 working alone taimour can do the job in 1 = 1 / 9 * hours = > 9 answer b\"" + }, + { + "Answer": 15, + "Options": "a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", + "Correct": "b", + "Explanation": "\"for the 5 minutes the cyclist continues to overtake the hiker , she is going at 21 miles per hour faster than the hiker . once the cyclist stops , the hiker is going at 7 miles per hour while the cyclist is at rest so the amount of time the hiker will take to cover the distance between them is going to be in the ratio of the relative speeds . 21 / 7 * 5 or 15 minutes answer is ( b )\"" + }, + { + "Answer": 20, + "Options": "a ) 60 m , b ) 20 m , c ) 43 m , d ) 20 m , e ) 23 m", + "Correct": "d", + "Explanation": "\"to reach the winning post a will have to cover a distance of ( 500 - 140 ) m , i . e . , 360 m . while a covers 3 m , b covers 4 m . while a covers 360 m , b covers 4 x 360 m = 480 m . 3 thus , when a reaches the winning post , b covers 480 m and therefore remains 20 m behind . a wins by 20 m . answer : d\"" + }, + { + "Answer": 5.133333333333334, + "Options": "a ) 1.6 km , b ) 2 km , c ) 5.1 km , d ) 4 km , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : speed downstreams = ( 18 + 4 ) kmph = 22 kmph . distance travelled = ( 22 x 14 / 60 ) km = 5.1 km option c\"" + }, + { + "Answer": 3.3330666879982935, + "Options": "a ) 2.5 sec , b ) 2.8 sec , c ) 8.5 sec , d ) 3.3 sec , e ) 4.5 sec", + "Correct": "d", + "Explanation": "\"speed = 216 * 5 / 18 = 60 m / sec time taken = 200 / 60 = 3.3 sec . answer : d\"" + }, + { + "Answer": 0.03571428571428571, + "Options": "a ) 1 / 3 , b ) 1 / 4 , c ) 1 / 15 , d ) 1 / 28 , e ) 2 / 3", + "Correct": "d", + "Explanation": "\"1 / 8 c 2 = 1 / 28 . answer : d .\"" + }, + { + "Answer": 1400, + "Options": "a ) 600 , b ) 490 , c ) 720 , d ) 1400 , e ) 1679", + "Correct": "d", + "Explanation": "\"let x be the number of days in the initial plan . therefore , the whole field is 100 \u00e2 \u2039 \u2026 x hectares . the farmer had to work for x + 2 days , and he ploughed 85 ( x + 2 ) hectares , leaving 40 hectares unploughed . then we have the equation : 100 x = 85 ( x + 2 ) + 40 15 x = 210 x = 14 so the farmer planned to have the work done in 6 days , and the area of the farm field is 100 ( 14 ) = 1400 hectares correct answer d\"" + }, + { + "Answer": 15, + "Options": "a ) 33 \u2044 2 , b ) 15 , c ) 12 , d ) 22 , e ) none of these", + "Correct": "b", + "Explanation": "in order to strike 12 , there are 11 intervals of equal time = 33 \u2044 11 = 3 seconds each therefore , to strike 6 it has 5 equal intervals , it requires 5 \u00d7 3 = 15 sec . answer b" + }, + { + "Answer": 4, + "Options": "a ) 4 : 1 , b ) 11 : 8 , c ) 13 : 7 , d ) 15 : 7 , e ) 16 : 9", + "Correct": "a", + "Explanation": "\"sol . distance travelled by car a = 50 \u00d7 8 = 400 km distance travelled by car b = 25 \u00d7 4 = 100 km ratio = 400 / 100 = 4 : 1 answer : a\"" + }, + { + "Answer": 23.999999999999996, + "Options": "a ) 20 , b ) 25 , c ) 30 , d ) 24 , e ) 19", + "Correct": "d", + "Explanation": "a + b + c = 1 / 6 ( one day work ) a + b = 1 / 10 ; b + c = 1 / 15 ; c + a + 1 / 20 b = 1 / 15 - c ; c = 1 / 20 - a ; - - - - - - - - - ( 2 ) substitute equation 2 in a + b = 1 / 10 a = 1 / 10 - b ; a = 1 / 10 - 1 / 15 + c ; a = 1 / 10 - 1 / 15 + 1 / 20 - a ; 2 a = 1 / 10 - 1 / 15 + 1 / 20 ; a = 1 / 24 ( one day work ) that is the no of days that a can work alone is 24 days the option d is answer" + }, + { + "Answer": 37, + "Options": "a ) 37 mins , b ) 35 mins , c ) 40 mins , d ) 32 mins , e ) 36 mins", + "Correct": "a", + "Explanation": "the last 10 minutes only pipe a was open . since it needs 1 hour to fill the tank , then in 10 minutes it fills 1 / 5 th of the tank , thus 5 / 6 of the tank is filled with both pipes open . the combined rate of two pipes is 1 + 2 = 3 tanks / hour , therefore to fill 5 / 6 th of the tank they need ( time ) = ( work ) / ( rate ) = ( 5 / 6 ) / 3 = 5 / 18 hours = 27 minutes . total time = 10 + 27 = 37 minutes . answer : a ." + }, + { + "Answer": 10, + "Options": "a ) 9 , b ) 17 , c ) 11 , d ) 10 , e ) 13", + "Correct": "d", + "Explanation": "\"one monkey takes 10 min to eat 1 banana , so in 70 mins 1 monkey will eat 7 bananas , so for 70 bananas in 70 min we need 70 / 7 = 10 monkeys answer : d\"" + }, + { + "Answer": 320, + "Options": "a ) 300 , b ) 318 , c ) 320 , d ) 324 , e ) 330", + "Correct": "c", + "Explanation": "to cover 50 miles the man needs ( time ) = ( distance ) / ( rate ) = 50 / 10 = 5 hours = 300 minutes . he will also rest 4 times ( after 10 , 20 , 30 and 40 miles ) , so total resting time = 4 * 5 = 20 minutes . total time = 300 + 20 = 320 minutes . answer : c ." + }, + { + "Answer": 1000, + "Options": "a ) 1000 , b ) 1100 , c ) 1200 , d ) 1250 , e ) 1300", + "Correct": "a", + "Explanation": "\"1 inch = 2.54 cm 4.5 inch = 2.54 * 4.5 cm 11.43 cm = 45 miles 254 cms = 45 / 11.43 * 254 = 1000 miles answer : a\"" + }, + { + "Answer": 45, + "Options": "a ) 46 , b ) 47 , c ) 45 , d ) 56 , e ) 54", + "Correct": "c", + "Explanation": "\"cloth bought by john = 9.25 m cost of 9.25 m = $ 416.25 cost per metre = 416.25 \u00f7 9.25 the cost of the cloth per metre = $ 45 answers : c\"" + }, + { + "Answer": 1, + "Options": "a ) 1 : 1 , b ) 3 : 2 , c ) 3 : 8 , d ) 3 : 25 , e ) 3 : 4", + "Correct": "a", + "Explanation": "\"let the speeds of the two trains be x m / sec and y m / sec respectively . then , length of the first train = 20 x meters , and length of the second train = 18 y meters . ( 20 x + 15 y ) / ( x + y ) = 19 = = > 20 x + 18 y = 19 x + 19 y = = > x = y = = > x / y = 1 / 1 answer : option a\"" + }, + { + "Answer": 120, + "Options": "a ) 187 , b ) 279 , c ) 120 , d ) 278 , e ) 379", + "Correct": "c", + "Explanation": "\"when the second train leaves mumbai the first train covers 40 * 1 = 40 km so , the distance between first train and second train is 40 km at 10.00 am time taken by the trains to meet = distance / relative speed = 40 / ( 60 - 40 ) = 2 hours so , the two trains meet at 12 a . m . the two trains meet 2 * 60 = 120 km away from mumbai . answer : c\"" + }, + { + "Answer": 20, + "Options": "a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", + "Correct": "e", + "Explanation": "\"explanation : wages of 1 woman for 1 day = 21600 / 40 \u00e3 \u2014 30 wages of 1 man for 1 day = 21600 \u00e3 \u2014 2 / 40 \u00e3 \u2014 30 wages of 1 man for 20 days = 21600 \u00e3 \u2014 2 \u00e3 \u2014 20 / 40 \u00e3 \u2014 30 number of men = 14400 / ( 21600 \u00e3 \u2014 2 \u00e3 \u2014 20 / 40 \u00e3 \u2014 30 ) = 144 / ( 216 \u00e3 \u2014 40 / 40 \u00e3 \u2014 30 ) = 20 answer : option e\"" + }, + { + "Answer": 82.5, + "Options": "a ) 66.5 , b ) 70.5 , c ) 72.5 , d ) 75.5 , e ) 82.5", + "Correct": "e", + "Explanation": "\"let the distance one way be x time from home to work = x / 50 time from work to home = x / 110 total time = 2 hrs ( x / 50 ) + ( x / 110 ) = 2 solving for x , we get x = 275 / 4 time from home to work in minutes = ( 275 / 4 ) * 60 / 50 = 82.5 minutes ans = e\"" + }, + { + "Answer": 16, + "Options": "a ) 15 sec . , b ) 16 sec . , c ) 18 sec . , d ) 20 sec . , e ) none", + "Correct": "b", + "Explanation": "\"solution speed = ( 63 x 5 / 18 ) m / sec = 35 / 2 msec time taken = ( 280 x 2 / 35 ) m / sec = 16 sec . answer b\"" + }, + { + "Answer": 5.333333333333333, + "Options": "a ) 3 days , b ) 16 / 3 days , c ) 3 / 4 days , d ) 9 / 12 days , e ) 5 / 7 days", + "Correct": "b", + "Explanation": "\"a rate = 1 / 8 b rate = 1 / 16 ( a + b ) rate = ( 1 / 8 ) + ( 1 / 16 ) = 3 / 16 a & b finish the work in 16 / 3 days correct option is b\"" + }, + { + "Answer": 14, + "Options": "a ) 20 m , b ) 16 m , c ) 14 m , d ) 10 m , e ) 15 m", + "Correct": "c", + "Explanation": "\"explanation : the difference in the timing of a and b is 5 seconds . hence , a beats b by 5 seconds . the distance covered by b in 5 seconds = ( 70 * 5 ) / 25 = 14 m hence , a beats b by 14 m . answer c\"" + }, + { + "Answer": 124, + "Options": "a ) 130 km , b ) 120 km , c ) 100 km , d ) 124 km , e ) none of these", + "Correct": "d", + "Explanation": "\"let the partial distance covered at 40 kmph be x let the another partial distance covered at 60 kmph be ( 250 - x ) thus , x / 40 - ( 250 - x ) / 60 = 5.2 or , x / 40 + ( 250 - x ) / 60 = 5.2 or , ( 3 x + 500 - 2 x ) / / 120 = 5.2 or 500 + x = 624 x = 124 answer : d\"" + }, + { + "Answer": 17, + "Options": "a ) 10 days , b ) 15 days , c ) 16 days , d ) 17 days , e ) 20 days", + "Correct": "d", + "Explanation": "let us assume that the work is laying 40 bricks . jane = 3 bricks per day ashley = 1 brick per day together = 4 bricks per day let ' s say first 8 days ashley works alone , no of bricks = 8 last 4 days jane works alone , no . of bricks = 12 remaining bricks = 40 - 20 = 20 so together , they would take 20 / 4 = 5 total no . of days = 8 + 4 + 5 = 17 answer is d" + }, + { + "Answer": 5760.000000000001, + "Options": "a ) 5768 , b ) 5760 , c ) 5762 , d ) 5766 , e ) 5712", + "Correct": "b", + "Explanation": "\"1 / x - 1 / 6 = - 1 / 8 x = 24 hrs 24 * 60 * 4 = 5760 answer : b\"" + }, + { + "Answer": 15.2, + "Options": "a ) 10.2 days , b ) 15.2 days , c ) 16.2 days , d ) 18 days , e ) 20 days", + "Correct": "b", + "Explanation": "let us assume that the work is laying 40 bricks . jane = 4 bricks per day ashley = 1 brick per day together = 5 bricks per day let ' s say first 8 days ashley works alone , no of bricks = 8 last 4 days jane works alone , no . of bricks = 16 remaining bricks = 40 - 24 = 16 so together , they would take 16 / 5 = 3.2 total no . of days = 8 + 4 + 3.2 = 15.2 answer is b" + }, + { + "Answer": 34.285714285714285, + "Options": "a ) 88 , b ) 56 , c ) 42 , d ) 34 , e ) 64", + "Correct": "d", + "Explanation": "complete trip = 10 floors up and 10 floors down = 20 floors = 20 * 1 / 4 = 5 minutes plus 2 minutes = 7 minutes . 4 hour = 240 minutes . in 240 minutes operator can make 240 / 7 = 34 trips . answer : d ." + }, + { + "Answer": 6.857142857142858, + "Options": "a ) 2 miles , b ) 4 miles , c ) 4.8 miles , d ) 8 miles , e ) 6.9 miles", + "Correct": "e", + "Explanation": "\"answer : e ) 6.9 miles . average speed for round trip = 2 * a * b / ( a + b ) , where a , b are speeds so , average speed was = 2 * 5 * 30 / ( 5 + 30 ) = 6.9 m / hr the distance between schoolhome should be half of that . ie . 6.9 miles answer e\"" + }, + { + "Answer": 7, + "Options": "a ) 5 , b ) 8 , c ) 7 , d ) 6 , e ) 4", + "Correct": "c", + "Explanation": "if you break the batteries into 3 groups : two groups of 3 and one group of 2 . by doing this you guarantee that one of the groups has 2 working batteries . both of the groups of 3 have 3 possible combinations of 2 batteries and the group of 2 only has 1 combination . so , 3 + 3 + 1 = 7 tries at most to find two working batteries ." + }, + { + "Answer": 5, + "Options": "a ) 5 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 72 %", + "Correct": "a", + "Explanation": "answer : a 18 \u00b0 divided by 360 \u00b0 equals 0.05 , therefore the sector is equal to 5 % of the total" + }, + { + "Answer": 35000, + "Options": "a ) 54996.5 , b ) 32296.5 , c ) 34996.5 , d ) 34996.5 , e ) 31255.5", + "Correct": "c", + "Explanation": "\"rate of water flow - 4 kmph - - 4000 / 60 - - 66.66 m / min depth of river - - 7 m width of river - - 75 m vol of water per min - - 66.66 * 7 * 75 - - - 34996.5 answer c\"" + }, + { + "Answer": 1.7391304347826086, + "Options": "a ) 8 / 3 , b ) 3 / 8 , c ) 8 / 5 , d ) 5 / 8 , e ) 40 / 23", + "Correct": "e", + "Explanation": "\"distance traveled by eddy = 600 km time taken by eddy = 3 hours average speed of eddy = 600 / 3 = 200 km / hour distance traveled by freddy = 460 km time taken by freddy = 4 hours average speed of freddy = 460 / 4 = 115 km / hour ratio of average speed of eddy to freddy = 200 / 115 = 40 / 23 answer e\"" + }, + { + "Answer": 36, + "Options": "a ) 35 , b ) 35.5 , c ) 36 , d ) 36.5 , e ) 37", + "Correct": "c", + "Explanation": "\"40 * t = 1 km = > t = 1 / 40 km / h v * ( t + 10 / 3600 ) = 1 v ( 1 / 40 + 10 / 3600 ) = 1 v ( 100 / 3600 ) = 1 v = 36 km / h the answer is c .\"" + }, + { + "Answer": 8, + "Options": "a ) 3 , b ) 8 , c ) 9 , d ) 4 , e ) 2", + "Correct": "b", + "Explanation": "30 - - - 3 ds = 10 ? - - - - 1 18 - - - - 3 us = 6 ? - - - - 1 m = ? m = ( 10 + 6 ) / 2 = 8 answer : b" + }, + { + "Answer": 1185.1851851851852, + "Options": "a ) 5600 , b ) 6000 , c ) 1185 , d ) 7200 , e ) 8600", + "Correct": "c", + "Explanation": "\"number of bricks = volume of the wall / volume of 1 brick = ( 400 x 200 x 25 ) / ( 25 x 11.25 x 6 ) = 1185 . answer : option c\"" + }, + { + "Answer": 70, + "Options": "a ) 70 km , b ) 85 km , c ) 38 km , d ) 14 km , e ) 1 km", + "Correct": "a", + "Explanation": "difference between timings = 15 mis = 1 / 4 hr let the length of the journey be x km . then x / 35 - x / 40 = 1 / 4 8 x - 7 x = 70 x = 70 km answer ( a )" + }, + { + "Answer": 1980, + "Options": "a ) rs . 1200 , b ) rs . 1500 , c ) rs . 1980 , d ) rs . 2000 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : ratio of working days of a : b = 10 : 15 therefore , their wages ratio = reverse ratio = 15 : 10 therefore , a will get 15 units of ratio total ratio = 25 1 unit of ratio = 3000 / 25 = 132 so , a \u2019 s amount = 120 \u00d7 15 = rs . 1980 . answer : option c\"" + }, + { + "Answer": 671, + "Options": "a ) 715 , b ) 671 , c ) 330 , d ) 582 , e ) 465", + "Correct": "b", + "Explanation": "\"first number * second number = lcm * hcf other number = 2310 * 61 / 210 = 11 * 61 = 671 answer : b\"" + }, + { + "Answer": 223.2, + "Options": "a ) rs . 223.20 , b ) rs . 323.20 , c ) rs . 423.20 , d ) rs . 523.20 , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : area to be plastered = [ 2 ( l + b ) \u00e3 \u2014 h ] + ( l \u00e3 \u2014 b ) = [ 2 ( 25 + 12 ) \u00e3 \u2014 6 ] + ( 25 \u00e3 \u2014 12 ) = 744 sq m cost of plastering = 744 \u00e3 \u2014 ( 30 / 100 ) = rs . 223.20 answer : a\"" + }, + { + "Answer": 0.8571428571428571, + "Options": "a ) 6 / 7 , b ) 3 / 10 , c ) 3 / 18 , d ) 3 / 16 , e ) 3 / 11", + "Correct": "a", + "Explanation": "\"3 m + 8 w = 6 m + 2 w 3 m = 6 w 1 m = 2 w therefore 3 m + 8 w = 14 w 5 m + 2 w = 12 w answer is 12 / 14 = 6 / 7 answer : a\"" + }, + { + "Answer": 4, + "Options": "a ) 4 days , b ) 5 days , c ) 6 days , d ) 7 days , e ) 8 days", + "Correct": "a", + "Explanation": "6 b + 8 g = 1 / 10 ( 1 day work ) - - - - - - > ( i ) 26 b + 48 w = 1 / 2 - - - - - - - - > ( ii ) divide both sides by 2 in ( i ) and multiply both sides by 5 now we get 15 b + 20 b = 1 / 4 so ans . is 4 days . answer : a" + }, + { + "Answer": 3.6, + "Options": "a ) 4.25 hr , b ) 3.6 hr , c ) 8.25 hr , d ) 2.25 hr , e ) 2.50 hr", + "Correct": "b", + "Explanation": "\"speed of boat in still water = 14 km / hr speed of the stream = 6 km / hr speed downstream = ( 14 + 6 ) = 20 km / hr time taken to travel 72 km downstream = 72 \u00e2 \u0081 \u201e 20 = 3.6 hours answer is b\"" + }, + { + "Answer": 100, + "Options": "a ) 99 , b ) 18 , c ) 100 , d ) 17 , e ) 12", + "Correct": "c", + "Explanation": "\"40 * 20 = 4 * 2 * x = > x = 100 answer : c\"" + }, + { + "Answer": 1.2, + "Options": "a ) 3.5 kmph . , b ) 2.5 kmph . , c ) 1.2 kmph . , d ) 1.5 kmph . , e ) 1.9 kmph .", + "Correct": "c", + "Explanation": "\"15 / 36 m / s = 12 / 36 * 18 / 5 = 1 ( 1 / 5 ) = 1.2 kmph . answer : c\"" + }, + { + "Answer": 5, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "e", + "Explanation": "\"abhay speed = x sameer speed = y ( 30 / x ) - ( 30 / y ) = 2 . . . . 1 - ( 30 / 2 x ) + ( 30 / y ) = 1 . . . - 2 solving 1 and 2 we get 6 x = 30 x = 5 answer e\"" + }, + { + "Answer": 190, + "Options": "a ) 50 sec , b ) 190 sec , c ) 287 sec , d ) 74 sec , e ) 697 sec", + "Correct": "b", + "Explanation": "\"explanation : time taken by b run 1000 meters = ( 1000 * 10 ) / 50 = 200 sec . time taken by a = 200 - 10 = 190 sec . answer b\"" + }, + { + "Answer": 9, + "Options": "a ) 10 , b ) 9 , c ) 20 , d ) 25 , e ) 30", + "Correct": "b", + "Explanation": "18 * 6 = 12 * x x = 9 answer : b" + }, + { + "Answer": 100.008, + "Options": "a ) 120 , b ) 150 , c ) 100 , d ) 240 , e ) 200", + "Correct": "c", + "Explanation": "speed = ( 18 x 5 / 18 ) = 5 m / sec . length of the train = ( speed x time ) . length of the train = 5 x 20 m = 100 m . answer : c" + }, + { + "Answer": 25.000000000000007, + "Options": "a ) 28 , b ) 27 , c ) 26 , d ) 25 , e ) 29", + "Correct": "d", + "Explanation": "together they complete the job in 20 days means they complete 12 / 20 of the job after 12 days . peter completes the remaining ( 8 / 20 ) of the job in 10 days which means that the whole job ( 1 ) can be completed in x days . < = > 8 / 20 - > 10 < = > x = 10 / ( 8 / 20 ) = 25 d" + }, + { + "Answer": 15.013648771610555, + "Options": "a ) a ) 15 , b ) b ) 10 , c ) c ) 14 , d ) d ) 12 , e ) e ) 11", + "Correct": "a", + "Explanation": "\"2 * 22 / 7 * 14 * x = 1320 = > x = 15 answer : a\"" + }, + { + "Answer": 80, + "Options": "a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", + "Correct": "d", + "Explanation": "\"1 / 2 * d * ( 14 + 8 ) = 880 d = 80 the answer is d .\"" + }, + { + "Answer": 2.222044458665529, + "Options": "a ) 2.5 , b ) 2.9 , c ) 2.4 , d ) 2.8 , e ) 2.22", + "Correct": "e", + "Explanation": "\"speed = 162 * 5 / 18 = 45 m / sec time taken = 100 / 45 = 2.22 sec . answer : e\"" + }, + { + "Answer": 1000.4024994347707, + "Options": "['a ) 10', 'b ) 100', 'c ) 1000', 'd ) 10000', 'e ) 50']", + "Correct": "c", + "Explanation": "distance traveled in 1 round = perimeter = { 2 * 22 / 7 * 175 / 100 } m = 11 m total no . of revolution in covering 11 km = 11000 / 11 = 1000 answer c" + }, + { + "Answer": 8.5, + "Options": "a ) 4.5 kmph , b ) 9.5 kmph , c ) 7.5 kmph , d ) 8.5 kmph , e ) 5.5 kmph", + "Correct": "d", + "Explanation": "\"speed in still water = ( 13 + 4 ) 1 / 2 kmph = 8.5 kmph . answer : d\"" + }, + { + "Answer": 3.428571428571429, + "Options": "a ) 33 / 7 , b ) 43 / 7 , c ) 24 / 7 , d ) 19 / 7 , e ) none", + "Correct": "c", + "Explanation": "if a can do a piece of work in n days , then a ' s 1 day ' s work = 1 / n ( a + b + c ) ' s 1 day ' s work = 1 / 24 + 1 / 6 + 1 / 12 = 7 / 24 so , all the three together will complete the job in = 24 / 7 days answer : c" + }, + { + "Answer": 40, + "Options": "a ) 35 , b ) 36 , c ) 37 , d ) 40 , e ) 45", + "Correct": "d", + "Explanation": "\"according to given condition vt = ( v + 3 ) ( t - 2 / 3 ) vt = ( v - 2 ) ( t + 2 / 3 ) here v is velocity in kmph , t is time in hours and 2 / 3 is value of 40 min in hour on solving we will get t = 10 / 3 and and v = 12 so distance = ( 10 / 3 ) * 12 = 40 kms answer : d\"" + }, + { + "Answer": 3.333333333333333, + "Options": "a ) 3 / 10 , b ) 10 / 3 , c ) 1 / 3 , d ) 5 , e ) 6 / 3", + "Correct": "b", + "Explanation": "a ' s one day work = 1 / 5 b ' s one day work = 1 / 10 a + b = 1 / 5 + 1 / 10 = 10 + 5 / 50 = 10 / 3 days ans : option b" + }, + { + "Answer": 424.6284501061571, + "Options": "a ) 424 , b ) 448 , c ) 1408 , d ) 710 , e ) 223", + "Correct": "a", + "Explanation": "\"1 revolution = 3.14 * diameter . number of revolutions in 1 km = 1000 m / ( 3.14 * 0.75 m ) = 424.6 . hence 424 complete revolutions . answer a\"" + }, + { + "Answer": 22, + "Options": "a ) 18 , b ) 20 , c ) 22 , d ) 24 , e ) 26", + "Correct": "c", + "Explanation": "\"ac = 11 and ab = 5 , so bc = 6 . bc = 2 cd so cd = 3 . the length of ae is ab + bc + cd + de = 5 + 6 + 3 + 8 = 22 the answer is c .\"" + }, + { + "Answer": 8, + "Options": "a ) 5 days , b ) 6 days , c ) 8 days , d ) 10 days , e ) 12 days", + "Correct": "c", + "Explanation": "if a can complete a work in x days and b can complete the same work in y days , then , both of them together can complete the work in x y / x + y days . that is , the required no . of days = 10 \u00d7 40 / 50 = 8 days . c )" + }, + { + "Answer": 3.999680025597952, + "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", + "Correct": "b", + "Explanation": "\"the speeds are 54000 / 3600 = 15 m / s and 72000 / 3600 = 20 m / s the relative speed is 35 m / s . time = 140 / 35 = 4 seconds the answer is b .\"" + }, + { + "Answer": 60.00000000000001, + "Options": "a ) 60 , b ) 64 , c ) 68 , d ) 72 , e ) 76", + "Correct": "a", + "Explanation": "\"if the two trains cover a total distance d , then train x travels ( 3 / 7 ) * d while train y travels ( 4 / 7 ) * d . if the trains travel 140 km to the meeting point , then train x travels ( 3 / 7 ) * 140 = 60 km . the answer is a .\"" + }, + { + "Answer": 11, + "Options": "a ) 33 , b ) 77 , c ) 66 , d ) 11 , e ) 99", + "Correct": "d", + "Explanation": "\"one day work of a , b and c = 1 / 24 + 1 / 30 + 1 / 40 = 1 / 10 work done by a and b together in the last 4 days = 4 * ( 1 / 24 + 1 / 30 ) = 3 / 10 remaining work = 7 / 10 the number of days required for this initial work = 7 days . the total number of days required = 4 + 7 = 11 days . answer : d\"" + }, + { + "Answer": 36, + "Options": "a ) 15 seconds , b ) 18 seconds , c ) 25 seconds , d ) 36 seconds , e ) 45 seconds", + "Correct": "d", + "Explanation": "used pluging in method say t is the time for cristina to catch up with nicky , the equation will be as under : for nicky = n = 3 * t + 36 for cristina = c = 5 * t @ t = 36 , n = 144 c = 144 right answer ans : d" + }, + { + "Answer": 8, + "Options": "a ) 7 days , b ) 14 days , c ) 6 days , d ) 8 days , e ) 9 days", + "Correct": "d", + "Explanation": "\"explanation : 16 boys = 24 girls , 1 boy = 24 / 16 girls 1 boy = 6 / 4 girls 8 boys + 6 girls = 8 \u00e3 \u2014 6 / 4 + 12 = 12 + 6 = 18 girls 8 days to complete the work answer : option d\"" + }, + { + "Answer": 159.375, + "Options": "a ) 155.68 , b ) 160 , c ) 159.38 , d ) 180 , e ) 175", + "Correct": "c", + "Explanation": "\"speed = [ 425 / 40 m / sec = 42.5 / 4 m / sec . let the length of the platform be x meters . then , x + 425 / 55 = 42.5 / 4 4 ( x + 425 ) = 2337.5 \u00e8 x = 159.38 m . answer : c\"" + }, + { + "Answer": 133.33333333333334, + "Options": "a ) 133.33 , b ) 882 , c ) 772 , d ) 252 , e ) 121", + "Correct": "a", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 8 = 133.33 meter . answer : a\"" + }, + { + "Answer": 3.041666666666667, + "Options": "a ) 3.625 , b ) 3.5 , c ) 3 , d ) 3.04 , e ) 4", + "Correct": "d", + "Explanation": "\"set up two r x t = d cases . 1 . 1 / 12 km / min x t = 2.75 from which t = 33 mins . we know total journey time now is 40 + 33 = 73 . the rate is the same ie 1 / 12 km / min . set up second r x t = d case . 1 / 12 km / min x 73 = 6.08 km now the total journey would be halved as distance would be same in each direction . 6.08 / 2 = 3.04 d .\"" + }, + { + "Answer": 1.5, + "Options": "a ) 1.5 , b ) 1.75 , c ) 2.0 , d ) 2.25 , e ) 2.5", + "Correct": "a", + "Explanation": "\"the swimmer can swim against the current at a speed of 4 - 2 = 2 km / h . the time it will take is 3 / 2 = 1.5 hours . the answer is a .\"" + }, + { + "Answer": 59.99520038396929, + "Options": "a ) 25 , b ) 30 , c ) 45 , d ) 64 , e ) 60", + "Correct": "e", + "Explanation": "\"explanation : speed of train relatively to man = ( 30 - 6 ) km / hr = 24 km / hr = ( 24 x 5 / 18 ) m / sec = 6.66 m / sec time taken to pass the man = ( 400 / 6.66 ) sec = 60 sec . answer : e\"" + }, + { + "Answer": 16, + "Options": "a ) 5 , b ) 4 , c ) 16 , d ) 20 , e ) 25", + "Correct": "c", + "Explanation": "\"the prompt is essentially asking for the maximum number of 4 x 4 squares that can be cut from a larger 16 by 16 square . since each ' row ' and each ' column ' of the larger square can be sub - divided into 4 ' pieces ' each , we have ( 4 ) ( 4 ) = 16 total smaller squares ( at maximum ) . c\"" + }, + { + "Answer": 0.9111111111111111, + "Options": "a ) 41 / 45 , b ) 15 / 14 , c ) 4 / 5 , d ) 5 / 4 , e ) can not be determined", + "Correct": "a", + "Explanation": "\"average speed of jack = distance / time = 41 / ( 9 / 2 ) = 82 / 9 average speed of jill = 41 / ( 4.1 ) = 10 ratio of average speed of jack to jill = ( 82 / 9 ) / 10 = 82 / 90 = 41 / 45 answer a\"" + }, + { + "Answer": 0.047619047619047616, + "Options": "a ) 1 / 3 , b ) 1 / 4 , c ) 1 / 21 , d ) 3 / 8 , e ) 2 / 3", + "Correct": "c", + "Explanation": "\"1 / 7 c 2 = 1 / 21 . answer : c .\"" + }, + { + "Answer": 60, + "Options": "a ) 56 , b ) 60 , c ) 64 , d ) 68 , e ) 72", + "Correct": "b", + "Explanation": "\"let v be the speed of the person and let x be the speed of the walkway . 40 ( v + x ) = 80 then 120 ( v + x ) = 240 120 ( v - x ) = 80 when we add the two equations : 240 v = 320 v = 4 / 3 time = 80 / ( 4 / 3 ) = 60 seconds the answer is b .\"" + }, + { + "Answer": 9, + "Options": "a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11", + "Correct": "c", + "Explanation": "\"on the way down , the rate is 1.5 * 3 = 4.5 miles per day . the distance of the route down the mountain is 2 * 4.5 = 9 miles . the answer is c .\"" + }, + { + "Answer": 5.5, + "Options": "a ) 4.5 , b ) 5.5 , c ) 6.5 , d ) 7.5 , e ) 8.5", + "Correct": "b", + "Explanation": "\"each 40 kilometers , 1 gallon is needed . we need to know how many 40 kilometers are there in 220 kilometers ? 220 \u00f7 40 = 5.5 \u00d7 1 gallon = 5.5 gallons correct answer b\"" + }, + { + "Answer": 22500, + "Options": "a ) 22877 , b ) 27778 , c ) 20000 , d ) 22500 , e ) 17799", + "Correct": "d", + "Explanation": "\"number of bricks = courtyard area / 1 brick area = ( 2500 \u00d7 1800 / 20 \u00d7 10 ) = 22500 answer : d\"" + }, + { + "Answer": 625, + "Options": "a ) 500 , b ) 625 , c ) 1,000 , d ) 1,500 , e ) 2,500", + "Correct": "b", + "Explanation": "\"x 13 : ( t , d , s ) y 14 : ( t , 3 d , s + 2500 mi / hour ) z 15 : ( t + 2 seconds , s , 5 d ) d = ? distance = speed * time x 13 : d = s * t x 14 : 3 d = ( s + 2500 ) * t = = = > 3 d = ts + 2500 t z 15 : 5 d = s * ( t + 2 t ) = = = > 5 d = st + 2 st = = = > 5 d - 2 st = st 3 d = 5 d - 2 st + 2500 t - 2 d = - 2 st + 2500 t 2 d = 2 st - 2500 t d = st - 1250 t x 13 : d = s * t st - 1250 t = s * t s - 1250 = s - 625 = s i got to this point and could n ' t go any further . this seems like a problem where i can set up individual d = r * t formulas and solve but it appears that ' s not the case . for future reference how would i know not to waste my time setting up this problem in the aforementioned way ? thanks ! ! ! the distance of z 15 is equal to five times the distance of x 13 ( we established that x 13 is the baseline and thus , it ' s measurements are d , s , t ) s ( t + 2 ) = 5 ( s * t ) what clues would i have to know to set up the equation in this fashion ? is it because i am better off setting two identical distances together ? st + 2 s = 5 st t + 2 = 5 t 2 = 4 t t = 1 / 2 we are looking for distance ( d = s * t ) so we need to solve for speed now that we have time . speed y 14 - speed x 13 speed = d / t 3 d / t - d / t = 2500 ( remember , t is the same because both asteroids were observed for the same amount of time ) 2 d = 2500 2 = 1250 d = s * t d = 1250 * ( 1 / 2 ) d = 625 answer : b\"" + }, + { + "Answer": 32.392033717615696, + "Options": "a ) 32.9 , b ) 32.4 , c ) 32.2 , d ) 32.1 , e ) 32.7", + "Correct": "b", + "Explanation": "\"36 / 7 r = 6.3 = 32.4 answer : b\"" + }, + { + "Answer": 100, + "Options": "a ) 90 seconds , b ) 85 seconds , c ) 40 seconds , d ) 100 seconds , e ) 120 seconds", + "Correct": "d", + "Explanation": "speed = 54 km / hr = 54 * ( 5 / 18 ) m / sec = 15 m / sec total distance = 300 + 1200 = 1500 meter time = distance / speed = 1500 * ( 15 ) = 100 seconds answer : d" + }, + { + "Answer": 28.571428571428573, + "Options": "a ) 28.36 mph , b ) 26.55 mph , c ) 28.57 mph , d ) 25.56 mph , e ) 28.45 mph", + "Correct": "c", + "Explanation": "\"avg speed = total distance / total time = ( d 1 + d 2 ) / ( t 1 + t 2 ) = ( 50 + 50 ) / ( ( 50 / 20 ) + ( 50 / 50 ) ) = 60 * 2 / 3 = 28.57 mph c\"" + }, + { + "Answer": 4, + "Options": "a ) 4 hours , b ) 20 hours , c ) 30 hours , d ) 40 hours , e ) 50 hours", + "Correct": "a", + "Explanation": "\"if leakage / hour = 1 / x , then 1 / 2 - 1 / x = 1 / 4 , solving 1 / x = 1 / 4 so in 4 hours full cistern will be empty . answer : a\"" + }, + { + "Answer": 30, + "Options": "a ) 50 kmph , b ) 30 kmph , c ) 70 kmph , d ) 80 kmph , e ) 90 kmph", + "Correct": "b", + "Explanation": "\"time = 6 distence = 270 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 270 / 9 = 30 kmph b\"" + }, + { + "Answer": 480, + "Options": "a ) 250 , b ) 375 , c ) 450 , d ) 480 , e ) 500", + "Correct": "d", + "Explanation": "40 * a + 40 * b = x pages in 40 mins printer a will print = 40 / 60 * x pages = 2 / 3 * x pages thus in 40 mins printer printer b will print x - 2 / 3 * x = 1 / 3 * x pages also it is given that printer b prints 4 more pages per min that printer a . in 40 mins printer b will print 160 more pages than printer a thus 2 / 3 * x - 1 / 3 * x = 160 = > x = 480 pages answer : d" + }, + { + "Answer": 63, + "Options": "a ) 64 , b ) 63 , c ) 65 , d ) 66 , e ) 67", + "Correct": "b", + "Explanation": "\"36 * 70 = 40 * x x = 63 days answer : b\"" + }, + { + "Answer": 107.99999999999999, + "Options": "a ) 88 kmph , b ) 89 kmph , c ) 72 kmph , d ) 16 kmph , e ) 108 kmph", + "Correct": "e", + "Explanation": "\"length = speed * time speed = l / t s = 300 / 10 s = 30 m / sec speed = 30 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 108 kmph answer : e\"" + }, + { + "Answer": 2.5, + "Options": "a ) 2.5 km , b ) 3.5 km , c ) 4.5 km , d ) 5.5 km , e ) 6.5 km", + "Correct": "a", + "Explanation": "let the distance be x t 1 = x / 5 hr t 2 = x / 10 hr difference in time = 7 + 8 = 15 = 1 / 4 hr x / 5 - x / 10 = 1 / 4 x / 10 = 1 / 4 x = 2.5 km answer is a" + }, + { + "Answer": 7, + "Options": "a ) 5 min , b ) 2 min , c ) 3 min , d ) 1 min , e ) 7 min", + "Correct": "e", + "Explanation": "\"full cistern filled in = 77 minutes 1 / 11 part filled in = 77 * 1 / 11 = 7 minutes answer is e\"" + }, + { + "Answer": 0.3999999999999999, + "Options": "a ) 2 / 5 , b ) 8 / 15 , c ) 3 / 11 , d ) 1 / 12 , e ) 6 / 13", + "Correct": "a", + "Explanation": "\"a ' s 1 day work = 1 / 10 b ' s 1 day work = 1 / 20 a + b 1 day work = 1 / 10 + 1 / 20 = 3 / 20 a + b 4 days work = 3 / 20 * 4 = 3 / 5 remaining work = 1 - 3 / 5 = 2 / 5 answer is a\"" + }, + { + "Answer": 0.8333333333333334, + "Options": "a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 5 / 6", + "Correct": "e", + "Explanation": "2 revolutions per minute = 1 revolution every 30 seconds so no matter what anybody appearing at the tower can not stay in the dark for more than 30 seconds . this will be our total number of possibilities i . e the denominator . p ( man in dark for at least 5 seconds ) = 1 - p ( man in dark for max of 5 seconds ) = 1 - 5 / 30 = 1 - 1 / 6 = 5 / 6 or the other way would be : p ( man in dark for at least 5 seconds ) is like saying he can be in dark for 5 , 6,7 . . . all the way to 30 seconds because that is the max . in this approach it would be 25 / 30 seconds = 5 / 6 . answer is e" + }, + { + "Answer": 80, + "Options": "a ) 50 , b ) 20 , c ) 80 , d ) 10 , e ) 15", + "Correct": "c", + "Explanation": "\"men required to finish the work in 5 days = 20 * 20 / 5 = 80 answer is c\"" + }, + { + "Answer": 40, + "Options": "a ) 22 km , b ) 40 km , c ) 65 km , d ) 18 km , e ) 16 km", + "Correct": "b", + "Explanation": "\"distance = relative speed * time = ( 7 + 3 ) * 4 = 40 km [ they are travelling in the opposite direction , relative speed = sum of the speeds ] . answer : b\"" + }, + { + "Answer": 150.00000000000006, + "Options": "a ) 286 m , b ) 350 m , c ) 277 m , d ) 278 m , e ) 150 m", + "Correct": "e", + "Explanation": "\"speed = 300 / 18 = 50 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 27 = 50 / 3 x = 150 m . answer : e\"" + }, + { + "Answer": 5.6, + "Options": "a ) 4 , b ) 4.5 , c ) 5.6 , d ) 6.25 , e ) 15", + "Correct": "c", + "Explanation": "\"distance walked in 1 hour and 15 mins = 7 miles speed per hour = distance / time = 7 / ( 5 / 4 ) = 5.6 miles per hour answer c\"" + }, + { + "Answer": 3.75, + "Options": "a ) 3.5 gallons , b ) 2.7 gallons , c ) 5.75 gallons , d ) 3.75 gallons , e ) 7.50 gallons", + "Correct": "d", + "Explanation": "\"each 40 kilometers , 1 gallon is needed . we need to know how many 40 kilometers are there in 150 kilometers ? 150 \u00e3 \u00b7 40 = 3.75 \u00e3 \u2014 1 gallon = 3.75 gallons correct answer is d ) 3.75 gallons\"" + }, + { + "Answer": 10, + "Options": "a ) 10 km . , b ) 16 km . , c ) 14 km , d ) 2 km . , e ) 4 km .", + "Correct": "a", + "Explanation": "c - - - - - - - - - - - - - b ! ! ! ! ! a ab = 8 km bc = 6 km ac = sqrtof ( 8 ^ 2 + 6 ^ 2 ) ac = 10 km answer : a" + }, + { + "Answer": 20.000000000000004, + "Options": "a ) 10 mins , b ) 15 mins , c ) 20 mins , d ) 25 mins , e ) 30 mins", + "Correct": "c", + "Explanation": "explanation : how we can solve this question ? first we will calculate the work done for 10 mins , then we will get the remaining work , then we will find answer with one tap work , as part filled by tap a in 1 min = 1 / 20 part filled by tap b in 1 min = 1 / 60 ( a + b ) ' s 10 mins work = 10 \u2217 ( 1 / 20 + 1 / 60 ) = 10 \u2217 4 / 60 = 2 / 3 remaining work = 1 \u2212 2 / 3 = 1 / 3 method 1 = > 1 / 60 : 1 / 3 = 1 : x = > x = 20 method 2 1 / 60 part filled by b in = 1 min 1 / 3 part will be filled in = 1 / 3 / 1 / 60 = 60 / 3 = 20 option c" + }, + { + "Answer": 6, + "Options": "a ) 6 , b ) 12 , c ) 14 , d ) 15 , e ) 17", + "Correct": "a", + "Explanation": "\"renu \u00e2 \u20ac \u2122 s one day \u00e2 \u20ac \u2122 s work = 1 / 6 suma \u00e2 \u20ac \u2122 s one day \u00e2 \u20ac \u2122 s work = 1 / 3 - 1 / 6 = 1 / 6 suma can do it alone in 6 days . answer : a\"" + }, + { + "Answer": 75, + "Options": "a ) a . 43 , b ) b . 45 , c ) c . 75 , d ) d . 68 , e ) e . 60", + "Correct": "c", + "Explanation": "\"50 workers working already let x be the total men required to finish the task in next 200 days 2.5 km done hence remaining is 12.5 km also , work has to be completed in next 200 days ( 300 - 100 = 200 ) we know that , proportion of men to distance is direct proportion and , proportion of men to days is inverse proportion hence , x = ( 50 * 12.5 * 100 ) / ( 2.5 * 200 ) thus , x = 125 thus , more men needed to finish the task = 125 - 50 = 75 hence answer is c\"" + }, + { + "Answer": 200, + "Options": "a ) 187 m , b ) 278 m , c ) 876 m , d ) 200 m , e ) 267 m", + "Correct": "d", + "Explanation": "\"speed = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec length of the train = ( speed x time ) = ( 50 / 3 * 12 ) m = 200 m . answer : d\"" + }, + { + "Answer": 8, + "Options": "a ) 10 , b ) 12 , c ) 6 , d ) 2 , e ) 8", + "Correct": "e", + "Explanation": "a can do the work in 24 / 2 i . e . , 12 days . a and b ' s one day ' s work = 1 / 12 + 1 / 24 = ( 2 + 1 ) / 24 = 1 / 8 so a and b together can do the work in 8 days . answer : e" + }, + { + "Answer": 3, + "Options": "['a ) 5 cms', 'b ) 2 cms', 'c ) 3 cms', 'd ) 4 cms', 'e ) 6 cms']", + "Correct": "c", + "Explanation": "since the sphere is made out of the cylinder material their volume will be same volume of cylinder = pi * 3 ^ 2 * 6 volume of one sphere = 4 / 3 * pi * r ^ 3 ( where r is radius of sphere ) so if there are n such sphere ' s equating the volumes , pi * r ^ 2 * h = n * ( 4 / 3 ) * pi * r ^ 3 n is the number of spheres , substituting the , r and h 9 * 6 = n * ( 4 / 3 ) * ( d / 2 ) ^ 3 d is the diameter of a sphere , n = ( 9 * 6 * 3 * 8 ) / ( 4 * d ^ 3 ) n = 324 / d ^ 3 now substitute the given answers for d and find the values for n , since a n has to be an integer only value fit for d is 3 , answer : c" + }, + { + "Answer": 198, + "Options": "a ) 63 , b ) 72 , c ) 198 , d ) 216 , e ) 400", + "Correct": "c", + "Explanation": "\"20 typists can type 44 letters , so 30 typists can type = 44 * 30 / 20 44 * 30 / 20 letters can be typed in 20 mins . in 60 mins typist can type = 44 * 30 * 60 / 20 * 20 = 198 c is the answer\"" + }, + { + "Answer": 1320, + "Options": "a ) 1300 , b ) 1310 , c ) 1320 , d ) 1330 , e ) 1340", + "Correct": "c", + "Explanation": "\"relative speed = ( 162 - 18 ) * 5 / 18 = 8 * 5 = 40 mps . distance covered in 33 sec = 33 * 40 = 1320 m . the length of the faster train = 1320 m . answer : c\"" + }, + { + "Answer": 10, + "Options": "a ) 1 hr , b ) 2 hrs , c ) 3 hrs , d ) 4 hrs , e ) 10 hrs", + "Correct": "e", + "Explanation": "\"speed downstream = ( 5 + 5 ) km / hr = 10 km / hr . time taken to travel 100 km downstream = 100 / 10 hrs = 10 hrs . answer : e\"" + }, + { + "Answer": 275, + "Options": "a ) 425 miles , b ) 625 miles , c ) 325 miles , d ) 225 miles , e ) 275 miles", + "Correct": "e", + "Explanation": "\"during each hour , the car travels 55 miles . for 5 hours it will travel 55 + 55 + 55 + 55 + 55 = 5 * 55 = 275 miles correct answer e\"" + }, + { + "Answer": 23, + "Options": "a ) 24 , b ) 23 , c ) 18 , d ) 21 , e ) 22", + "Correct": "b", + "Explanation": "explanation : mentioned month has begins on a saturday and has 30 days sundays = 2 nd , 9 th , 16 th , 23 rd , 30 th = > total sundays = 5 second saturdays = 8 th and 22 nd total second saturdays = 2 total holidays = total sundays + total second saturdays = 5 + 2 = 7 total days in the month = 30 total working days = 30 - 7 = 23 answer : option b" + }, + { + "Answer": 1375, + "Options": "a ) 4436 toys , b ) 5487 toys , c ) 6113 toys , d ) 2354 toys , e ) 1375 toys", + "Correct": "e", + "Explanation": "\"to find the number of toys produced every day , we divide the total number of toys produced in one week ( of 4 days ) by 4 . 5500 / 4 = 1375 toys correct answer e\"" + }, + { + "Answer": 80, + "Options": "a ) 80 cm , b ) 50 cm , c ) 40 cm , d ) 10 cm , e ) 100 cm", + "Correct": "a", + "Explanation": "required length = hcf of 18000 cm , 50000 cm , 1520 cm = 80 cm answer is a" + }, + { + "Answer": 84, + "Options": "a ) 80 , b ) 90 , c ) 85 , d ) 84 , e ) 89", + "Correct": "d", + "Explanation": "let the age of the man = x years so according to the given condition age of my grandson = x / 12 years and age of my son = x 30 / 52 = 15 x / 26 and x + ( x / 12 ) + ( 15 x / 26 ) = 140 or ( 156 x + 13 x + 90 x ) / 156 = 140 or 259 x = 156 * 140 or x = 156 * 140 / 259 = 84 answer : d" + }, + { + "Answer": 17.5, + "Options": "a ) 15.5 , b ) 16.0 , c ) 17.5 , d ) 19.0 , e ) 18.5", + "Correct": "c", + "Explanation": "\"time 1 = 200 / 20 = 10 hours time 2 = 150 / 15 = 10 hours total time = 20 hours average speed = 350 / 20 = 17.5 km / hr the answer is c .\"" + }, + { + "Answer": 71.99424046076314, + "Options": "a ) 26 sec , b ) 65 sec , c ) 55 sec , d ) 19 sec , e ) 72 sec", + "Correct": "e", + "Explanation": "\"speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 1200 * 3 / 50 = 72 sec . answer : e\"" + }, + { + "Answer": 865.8000000000001, + "Options": "a ) 399 , b ) 272 , c ) 865.8 , d ) 277 , e ) 311", + "Correct": "c", + "Explanation": "\"answer : option c explanation : a 2 = 3136 = > a = 56 56 * 4 * 3 = 672 \u00e2 \u20ac \u201c 6 = 666 * 1.3 = 865.8 answer : c\"" + }, + { + "Answer": 10, + "Options": "a ) 8 days , b ) 6 days , c ) 7 days , d ) 9 days , e ) 10 days", + "Correct": "e", + "Explanation": "\"1 women ' s 1 day work = 1 / 175 1 child ' s 1 day work = 1 / 140 ( 5 women + 10 children ) ' s 1 day work = ( 5 / 175 + 10 / 140 ) = 1 / 10 5 women and 10 children will complete the work in 10 days . answer : e\"" + }, + { + "Answer": 17.998560115190784, + "Options": "a ) 5 sec , b ) 9 sec , c ) 12 sec , d ) 18 sec , e ) 19 sec", + "Correct": "d", + "Explanation": "\"speed of the train relative to man = ( 68 - 8 ) kmph = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec time taken by the train to cross the man = time taken by it to cover 300 m at 50 / 3 m / sec = 300 * 3 / 50 sec = 18 sec answer : d .\"" + }, + { + "Answer": 4, + "Options": "a ) 1.0 , b ) 1.5 , c ) 2.0 , d ) 2.5 , e ) 4.0", + "Correct": "e", + "Explanation": "\"in the third time interval the average speed of the car was 38 + 5 + 5 = 30 miles per hour ; in 5 minutes ( 1 / 12 hour ) at that speed car would travel 48 * 1 / 12 = 4 miles . answer : e .\"" + }, + { + "Answer": 2.25, + "Options": "a ) 2.25 . , b ) 3.125 . , c ) 4.5 . , d ) 5.225 . , e ) 6.25 .", + "Correct": "a", + "Explanation": "\"number of hours in 28 days = 28 * 24 number of 30 mins in 28 days = 28 * 24 * 2 number of computers built every 30 mins = 3024 / ( 28 * 24 * 2 ) = 2.25 answer a\"" + }, + { + "Answer": 70, + "Options": "a ) 70 , b ) 88 , c ) 167 , d ) 197 , e ) 161", + "Correct": "a", + "Explanation": "\"length of the train be \u2018 x \u2019 x + 170 / 15 = x + 250 / 20 20 x + 3400 = 15 x + 3750 5 x = 350 x = 70 m answer : a\"" + }, + { + "Answer": 100, + "Options": "a ) 287 , b ) 369 , c ) 100 , d ) 279 , e ) 361", + "Correct": "c", + "Explanation": "\"3 x * 2 x = 3750 = > x = 25 2 ( 75 + 50 ) = 250 m 250 * 0.40 = rs . 100 answer : c\"" + }, + { + "Answer": 150, + "Options": "a ) 270 , b ) 277 , c ) 187 , d ) 257 , e ) 150", + "Correct": "e", + "Explanation": "\"relative speed = ( 72 - 36 ) * 5 / 18 = 2 * 5 = 10 mps . distance covered in 15 sec = 15 * 10 = 150 m . the length of the faster train = 150 m . answer : e\"" + }, + { + "Answer": 48, + "Options": "a ) 18 days , b ) 38 days , c ) 42 days , d ) 48 days , e ) 44 days", + "Correct": "d", + "Explanation": "\"12 * 80 = 20 * x x = 48 days answer : d\"" + }, + { + "Answer": 88, + "Options": "a ) 47 , b ) 88 , c ) 28 , d ) 66 , e ) 11", + "Correct": "b", + "Explanation": "\"explanation : for ticking 6 times , there are 5 intervals . each interval has time duration of 40 / 5 = 8 secs at 12 o ' clock , there are 11 intervals , so total time for 11 intervals = 11 \u00d7 8 = 88 secs . answer : b\"" + }, + { + "Answer": 210.03999999999996, + "Options": "a ) 230 m , b ) 210 m , c ) 260 m , d ) 320 m , e ) 330 m", + "Correct": "b", + "Explanation": "\"relative speed = ( 120 + 80 ) km / hr = ( 200 x ( 5 / 18 ) ) m / sec = ( 500 / 9 ) m / sec . let the length of the other train be x metres . then , ( x + 290 ) / 9 = 500 / 9 x + 290 = 500 x = 210 . b\"" + }, + { + "Answer": 10, + "Options": "a ) 5 days , b ) 7 5 / 6 days , c ) 10 days , d ) 15 2 / 3 days , e ) none of these", + "Correct": "c", + "Explanation": "\"( a + b ) ' s 1 day ' s work = 1 / 12 , ( b + c ) ' s 1 day ' s work = 1 / 15 ; ( a + c ) ' s 1 day ' s work = 1 / 20 adding , we get : 2 ( a + b + c ) ' s 1 day ' s work = ( 1 / 12 + 1 / 15 + 1 / 20 ) = 12 / 60 = 1 / 5 ( a + b + c ) ' s 1 day ' s work = 1 / 10 so , a , b and c together can complete the work in 10 days . correct option : c\"" + }, + { + "Answer": 48, + "Options": "a ) 38 sec , b ) 35 sec , c ) 44 sec , d ) 48 sec , e ) none of these", + "Correct": "d", + "Explanation": "speed = 45 km / hr = 45 \u00e3 \u2014 ( 5 / 18 ) m / s = 150 / 12 = 50 / 4 = 25 / 2 m / s total distance = length of the train + length of the platform = 360 + 240 = 600 meter time taken to cross the platform = 600 / ( 25 / 2 ) = 600 \u00e3 \u2014 2 / 25 = 48 seconds answer : d" + }, + { + "Answer": 47.99999999999999, + "Options": "a ) 32 , b ) 48 , c ) 29 , d ) 27 , e ) 21", + "Correct": "b", + "Explanation": "\"s = ( 300 + 300 ) / 45 = 600 / 45 * 18 / 5 = 48 answer : b\"" + }, + { + "Answer": 41.24670026397888, + "Options": "a ) 28 , b ) 41.25 , c ) 55 , d ) 18 , e ) 12", + "Correct": "b", + "Explanation": "\"t = ( 660 + 165 ) / 72 * 18 / 5 t = 41.25 answer : b\"" + }, + { + "Answer": 130.01999999999998, + "Options": "a ) 110 , b ) 130 , c ) 120 , d ) 125 , e ) 135", + "Correct": "b", + "Explanation": "d = 120 + x t = 15 s = 120 + x / 15 * 18 / 5 = 60 kmph . = > ( 120 + x ) * 18 = 4500 = > 120 + x = 250 = > x = 130 m answer : b" + }, + { + "Answer": 9, + "Options": "a ) 6 kmph , b ) 5 kmph , c ) 9 kmph , d ) 8 kmph , e ) 1 kmph", + "Correct": "c", + "Explanation": "\"speed downstream = d / t = 84 / ( 2 ) = 42 kmph speed upstream = d / t = 48 / ( 2 ) = 24 kmph the speed of the stream = ( 42 - 24 ) / 2 = 9 kmph answer : c\"" + }, + { + "Answer": 180, + "Options": "a ) 286 , b ) 278 , c ) 255 , d ) 180 , e ) 287", + "Correct": "d", + "Explanation": "\"speed = ( 72 * 5 / 18 ) m / sec = ( 20 ) m / sec length of the train = ( speed x time ) = ( 20 * 9 ) m = 180 m . answer : d\"" + }, + { + "Answer": 9.390553103577801, + "Options": "a ) 16 seconds , b ) 76 seconds , c ) 26 seconds , d ) 9.4 seconds , e ) 18 seconds", + "Correct": "d", + "Explanation": "\"speed of the boat downstream = 20 + 3 = 23 kmph = 23 * 5 / 18 = 115 / 18 m / s hence time taken to cover 60 m = 60 * 18 / 115 = 9.4 seconds . answer : d\"" + }, + { + "Answer": 1600, + "Options": "['a ) 1200 cu . m', 'b ) 2200 cu . m', 'c ) 4800 cu . m', 'd ) 1600 cu . m', 'e ) 4000 cu . m']", + "Correct": "d", + "Explanation": "40 * 20 * 2 = 1600 answer : d" + }, + { + "Answer": 22, + "Options": "a ) 15 , b ) 22 , c ) 27 , d ) 29 , e ) 18", + "Correct": "b", + "Explanation": "\"original number of men = 2 * 22 / ( 22 - 20 ) = 22 answer is b\"" + }, + { + "Answer": 220, + "Options": "a ) 220 sec , b ) 190 sec , c ) 167 sec , d ) 197 sec , e ) 179 sec", + "Correct": "a", + "Explanation": "\"l = s * t s = 1200 / 120 s = 10 m / sec . total length ( d ) = 2200 m t = d / s t = 2200 / 10 t = 220 sec answer : a\"" + }, + { + "Answer": 12, + "Options": "a ) 2 , b ) 8 , c ) 9 , d ) 11 , e ) 12", + "Correct": "e", + "Explanation": "\"explanation : total hours worked = 8 x 3 + 6 x 2 = 36 total earned = 432 . hourly wage = 432 / 36 = 12 answer : e\"" + }, + { + "Answer": 12, + "Options": "a ) 12 hrs , b ) 6 hrs , c ) 8 hrs , d ) 10 hrs , e ) 24 hrs", + "Correct": "a", + "Explanation": "pipe a will do 8 / 12 in 8 hrs , so a does 2 / 3 of the work . . therefore , b will do the remaining 1 / 3 rd work alone . . as the speed of b is 1 / 3 rate of a , b will do the 1 / 3 rd work in same time that a takes to complete full job . . . ans 12 a" + }, + { + "Answer": 74.99999999999999, + "Options": "a ) 720 , b ) 180 , c ) 75 , d ) 65 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : the hour hand moves from pointing to 12 to pointing to half way between 2 and 3 . the angle covered between each hour marking on the clock is 360 / 12 = 30 . since the hand has covered 2.5 of these divisions the angle moved through is 75 . answer : c\"" + }, + { + "Answer": 375, + "Options": "a ) 325 , b ) 350 , c ) 375 , d ) 400 , e ) 425", + "Correct": "c", + "Explanation": "\"speed = ( 90 x ( 5 / 18 ) m / sec = ( 25 ) m / sec . length of the train = ( speed x time ) . length of the train = ( ( 25 ) x 15 ) m = 375 m c\"" + }, + { + "Answer": 5, + "Options": "a ) 4 , b ) 6 , c ) 8 , d ) 5 , e ) 10", + "Correct": "d", + "Explanation": "rate of one machine = 1 job / ( 20 * 5 ) days let x = number of machines needed to complete the job in 10 days 1 / ( 5 * 20 ) * 10 * x = 1 job x = 10 10 - 5 = 5 answer : d" + }, + { + "Answer": 49.99999999999999, + "Options": "a ) 45 , b ) 20 , c ) 30 , d ) 40 , e ) 50", + "Correct": "e", + "Explanation": "\"40 * t = 120 therefore t = 120 / 40 = 3 on return speed * ( 5.4 - 3 ) = 120 therefore t = 120 / 2.4 = 50 e\"" + }, + { + "Answer": 5, + "Options": "a ) l , b ) 3 l , c ) 5 l , d ) 7 l , e ) 9 l", + "Correct": "c", + "Explanation": "\"the train passes a pole in t seconds , so velocity v = l / t ( l + p ) / v = 6 t ( l + p ) / ( l / t ) = 6 t p = 5 l the answer is c .\"" + }, + { + "Answer": 1.125, + "Options": "a ) 1.125 , b ) 1.5 , c ) 1.75 , d ) 1.25 , e ) 1", + "Correct": "a", + "Explanation": "speed of bus relative to man = 40 + 8 = 48 km / hr . = 48 * 5 / 18 = 40 / 3 m / sec . time taken to pass the man = 5 * 3 / 40 = 1.125 sec . answer : a" + }, + { + "Answer": 1250, + "Options": "a ) 1200 m , b ) 1250 m , c ) 1300 m , d ) 1350 m , e ) 1450 m", + "Correct": "b", + "Explanation": "\"speed = ( 300 * 5 / 18 ) m / sec = ( 250 / 3 ) m / sec length of the train = ( speed x time ) = ( 250 / 3 * 15 ) m = 1250 m . answer : b\"" + }, + { + "Answer": 15, + "Options": "a ) 10 , b ) 13 , c ) 11 , d ) 08 , e ) 15", + "Correct": "e", + "Explanation": "\"let the speed of the water in still water = x given that speed of the stream = 3 kmph speed downstream = ( x + 3 ) kmph speed upstream = ( x \u2212 3 ) kmph he travels a certain distance downstream in 1 hour and come back in 1 1 \u2044 2 hour . i . e . , distance travelled downstream in 1 hour = distance travelled upstream in 1 1 \u2044 2 hour since distance = speed \u00d7 time , we have ( x + 3 ) \u00d7 1 = ( x \u2212 3 ) 3 / 2 \u21d2 2 ( x + 3 ) = 3 ( x \u2212 3 ) \u21d2 2 x + 6 = 3 x \u2212 9 \u21d2 x = 6 + 9 = 15 kmph answer is e .\"" + }, + { + "Answer": 30.002399999999998, + "Options": "a ) 40 , b ) 50 , c ) 60 , d ) 30 , e ) 20", + "Correct": "d", + "Explanation": "\"speed of the train = 54 km / hr = ( 54 \u00d7 10 ) / 36 m / s = 15 m / s length of the train = speed \u00d7 time taken to cross the man = 15 \u00d7 20 = 300 m let the length of the platform = l time taken to cross the platform = ( 300 + l ) / 15 = > ( 300 + l ) / 15 = 12 = > 300 + l = 15 \u00d7 22 = 330 = > l = 330 - 300 = 30 meter answer is d .\"" + }, + { + "Answer": 26, + "Options": "a ) 46 m , b ) 26 m , c ) 26 m , d ) 56 m , e ) 25 m", + "Correct": "b", + "Explanation": "\"perimeter of the plot = 2 ( 15 + 50 ) = 130 m no of poles = 130 / 5 = 26 m answer : b\"" + }, + { + "Answer": 375.03, + "Options": "a ) 281 m , b ) 325 m , c ) 117 m , d ) 375 m , e ) 350 m", + "Correct": "d", + "Explanation": "\"d d = 270 * 5 / 18 * 5 = 375 m\"" + }, + { + "Answer": 7, + "Options": "a ) 17 , b ) 24 , c ) 7 , d ) 24 , e ) 20", + "Correct": "c", + "Explanation": "\"45 - - - 5 ds = 9 ? - - - - 1 25 - - - 5 us = 5 ? - - - - 1 m = ? m = ( 9 + 5 ) / 2 = 14 / 2 = 7 answer : c\"" + }, + { + "Answer": 285, + "Options": "a ) 145 , b ) 215 , c ) 265 , d ) 285 , e ) 375", + "Correct": "d", + "Explanation": "45 km / h = 45000 m / 3600 s = 12.5 m / s in 30 seconds , the train can go 30 ( 12.5 ) = 375 meters let x be the length of the bridge . x + 90 = 375 meters x = 285 meters the answer is d ." + }, + { + "Answer": 59, + "Options": "a ) 70 , b ) 52 , c ) 62 , d ) 59 , e ) 50", + "Correct": "d", + "Explanation": "\"total number of players = 16 + 12 + 18 + 13 = 59 answer is d\"" + }, + { + "Answer": 45, + "Options": "a ) 11 , b ) 50 , c ) 28 , d ) 45 , e ) 18", + "Correct": "d", + "Explanation": "\"explanation : we know 60 min = 1 hr total northward laxmi ' s distance = 18 kmph x 1 hr = 18 km total southward prasanna ' s distance = 27 kmph x 1 hr = 27 km total distance between prasanna and laxmi is = 18 + 27 = 45 km . answer : d\"" + }, + { + "Answer": 40, + "Options": "a ) 55 mph , b ) 50 mph , c ) 40 mph , d ) 60 mph , e ) 70 mph", + "Correct": "c", + "Explanation": "\"avg speed = total distance / total time = ( d 1 + d 2 ) / ( t 1 + t 2 ) = ( 30 + 50 ) / ( ( 30 / 30 ) + ( 50 / 50 ) ) = 80 / 2 = 40 mph c\"" + }, + { + "Answer": 6, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 2 , e ) 9", + "Correct": "a", + "Explanation": "let xx be the number of roses . then the number of birches is 24 \u2212 x 24 \u2212 x , and the number of boys is 3 \u00d7 ( 24 \u2212 x ) 3 \u00d7 ( 24 \u2212 x ) . if each girl planted 3 roses , there are x 3 x 3 girls in the class . we know that there are 24 students in the class . therefore x 3 + 3 ( 24 \u2212 x ) = 24 x 3 + 3 ( 24 \u2212 x ) = 24 x + 9 ( 24 \u2212 x ) = 3 \u22c5 24 x + 9 ( 24 \u2212 x ) = 3 \u22c5 24 x + 216 \u2212 9 x = 72 x + 216 \u2212 9 x = 72 216 \u2212 72 = 8 x 216 \u2212 72 = 8 x 1448 = x 1448 = x x = 18 x = 18 so , students planted 18 roses and 24 - x = 24 - 18 = 6 birches . answer : a" + }, + { + "Answer": 2300, + "Options": "a ) 2300 mtrs , b ) 2400 mtrs , c ) 2500 mtrs , d ) 2600 mtrs , e ) 2700 mtrs", + "Correct": "a", + "Explanation": "800 + 800 + 700 = 2300 mtrs answer : a" + }, + { + "Answer": 23.3352, + "Options": "a ) 13.33 mps , b ) 23.33 mps , c ) 33.33 mps , d ) 25.33 mps , e ) 43.33 mps", + "Correct": "b", + "Explanation": "\"84 * 5 / 18 = 23.33 mps answer : b\"" + }, + { + "Answer": 27, + "Options": "a ) 26 , b ) 27 , c ) 28 , d ) 29 , e ) 30", + "Correct": "b", + "Explanation": "\"halfway between the multiples of 14 , there will be another multiple of 7 . the total number of multiples of 7 is 14 + 13 = 27 . the answer is b .\"" + }, + { + "Answer": 1500, + "Options": "a ) 1500 , b ) 266 , c ) 299 , d ) 750 , e ) 261", + "Correct": "a", + "Explanation": "\"speed = [ 180 * 5 / 18 ] m / sec = 50 m / sec ; time = 1 min . = 60 sec . let the length of the train and that of the platform be x meters . then , 2 x / 60 = 50 = > x = 50 * 60 / 2 = 1500 answer : a\"" + }, + { + "Answer": 7, + "Options": "a ) 6 days , b ) 7 days , c ) 8 days , d ) 9 days , e ) none of these", + "Correct": "b", + "Explanation": "explanation : 1 woman ' s 1 day ' s work = 1 / 70 1 child ' s 1 day ' s work = 1 / 140 5 women and 10 children 1 day work = ( 570 + 10140 ) = 17 so 5 women and 10 children will finish the work in 7 days answer : b" + }, + { + "Answer": 6, + "Options": "a ) 6 kg , b ) 5 kg , c ) 12 kg , d ) 24 kg , e ) 20 kg", + "Correct": "a", + "Explanation": "( 10 kg + 2 kg ) / 2 = 6 kg correct answer is : a" + }, + { + "Answer": 49.9960003199744, + "Options": "a ) 50 sec , b ) 26 sec , c ) 80 sec , d ) 82 sec , e ) 81 sec", + "Correct": "a", + "Explanation": "the distance to be covered = sum of their lengths = 200 + 300 = 500 m . relative speed = 72 - 36 = 36 kmph = 36 * 5 / 18 = 10 mps . time required = d / s = 500 / 10 = 50 sec . answer : a" + }, + { + "Answer": 2, + "Options": "a ) 2 days , b ) 3 days , c ) 5 days , d ) 1 day , e ) 4 days", + "Correct": "a", + "Explanation": "\"the length of cloth painted by one woman in one day = 180 / 3 \u00d7 2 = 30 m no . of days required to paint 300 m cloth by 5 women = 300 / 5 \u00d7 30 = 2 days answer : a\"" + }, + { + "Answer": 190, + "Options": "a ) 150 sec , b ) 130 sec , c ) 190 sec , d ) 200 sec , e ) 100 sec", + "Correct": "c", + "Explanation": "s = 1200 / 120 s - 10 m / sec total length = 1900 m t = d / s t = 1900 / 10 t = 190 sec answer c" + }, + { + "Answer": 15, + "Options": "a ) 15 , b ) 77 , c ) 30 , d ) 88 , e ) 34", + "Correct": "a", + "Explanation": "\"us = 5 ds = 25 m = ( 5 + 25 ) / 2 = 15 answer : a\"" + }, + { + "Answer": 20, + "Options": "a ) 10 days , b ) 30 days , c ) 20 days , d ) 80 days , e ) 40 days", + "Correct": "c", + "Explanation": "\"c 20 days given that 12 m = 20 w = > 3 m = 5 w 9 men + 12 women = 15 women + 12 women = 27 women 20 women can do the work in 27 days . so , 27 women can do it in ( 20 * 27 ) / 27 = 20 days .\"" + }, + { + "Answer": 30, + "Options": "a ) 25 minutes , b ) 30 minutes , c ) 10 minutes , d ) 15 minutes , e ) 7 minutes", + "Correct": "b", + "Explanation": "distance covered by the ambulance in 15 minutes = 15 miles 60 mph is one mile per minute , therefore 30 mph will be 1 / 2 a mile per minute . so , he reaches the hospital half an hour after leaving the store . correct answer : b" + }, + { + "Answer": 60, + "Options": "a ) 40 rs , b ) 45 rs , c ) 50 rs , d ) 55 rs , e ) 60 rs", + "Correct": "e", + "Explanation": "earns rs 20 on first day and spends rs 15 on second day means , end of day 2 , he have 5 rs . therefore , in 16 days he have 40 rs 2 * 8 = 16 days 5 rs * 8 = 40 rs and on the 17 th day again he earn rs . 20 , 40 + 20 = 60 rs . answer : e" + }, + { + "Answer": 25, + "Options": "a ) 20 , b ) 25 , c ) 35 , d ) 50 , e ) 65", + "Correct": "b", + "Explanation": "\"the relative speed = 46 - 36 = 10 km / hr = 10 * 5 / 18 = 25 / 9 m / s in 18 seconds , the relative difference in distance traveled is 18 * 25 / 9 = 50 meters this distance is twice the length of each train . the length of each train is 50 / 2 = 25 meters the answer is b .\"" + }, + { + "Answer": 20, + "Options": "a ) 27 seconds , b ) 29 seconds , c ) 40 seconds , d ) 11 seconds , e ) 20 seconds", + "Correct": "e", + "Explanation": "\"speed = 90 km / hr = 90 * ( 5 / 18 ) m / sec = 25 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 * ( 1 / 25 ) = 20 seconds answer : e\"" + }, + { + "Answer": 3.249740020798336, + "Options": "a ) 2.5 sec , b ) 3.25 sec , c ) 5 sec , d ) 12.5 sec , e ) 6 sec", + "Correct": "b", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 130 / 40 = 3.25 sec . answer : b\"" + }, + { + "Answer": 47.99999999999999, + "Options": "a ) 40 minutes , b ) 45 minutes , c ) 38 minutes , d ) 48 minutes , e ) 30 minutes", + "Correct": "d", + "Explanation": "d 48 minutes . donald duck ' s speed = x km / seconds pool current speed = y km / seconds 2 / ( x + y ) = 40 2 / ( x - y ) = 60 solving the simultaneous equations gives x = 1 / 24 therefore , to cover 2 km will take 2 / x = 48 seconds" + }, + { + "Answer": 720, + "Options": "a ) 100 , b ) 720 , c ) 1100 , d ) 940 , e ) 860", + "Correct": "b", + "Explanation": "we know distance = speed * time = 240 * 5 = 1200 km now to cover 1200 km in 5 / 3 hrs , speed = distance / time = 1200 / ( 5 / 3 ) = 720 kmph ans - b" + }, + { + "Answer": 12, + "Options": "a ) 12 days , b ) 6 days , c ) 5 days , d ) 4 days , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : in this type of question , where we have one person work and together work done . then we can easily get the other person work just by subtracting them . as son ' s one day work = ( 1 / 3 \u2212 1 / 4 ) = ( 4 \u2212 3 ) / 12 = 1 / 12 so son will do whole work in 12 days answer : a\"" + }, + { + "Answer": 20.615528128088304, + "Options": "a ) 22 miles , b ) 20.62 miles , c ) 25 miles , d ) 26 miles , e ) 28 miles", + "Correct": "b", + "Explanation": "\"using pythagoras we have one side i , e total distance traveled in north direction = 15 + 5 = 20 m other being the base ie distance traveled west - distance traveled eat = 10 - 5 = 5 m now this third side or the distance between town a and town b = 20 ^ 2 + 5 ^ 2 = sq root 425 = 20.62 mile answer : b\"" + }, + { + "Answer": 60, + "Options": "a ) 60 , b ) 20 , c ) 19 , d ) 29 , e ) 39", + "Correct": "a", + "Explanation": "\"let 1 man does 1 unit / hr of work 15 m in 21 days of 8 hrs will do ( 15 * 21 * 8 ) units 3 w = 2 m 1 w = ( 2 / 3 ) units / hr 21 w with 3 hrs a day will take ( 15 * 21 * 8 ) / ( 21 * 3 * ( 2 / 3 ) ) days = > 60 days answer : a\"" + }, + { + "Answer": 3, + "Options": "a ) 7 meters , b ) 9 meters , c ) 8 meters , d ) 5 meters , e ) 3 meters", + "Correct": "e", + "Explanation": "\"400 rev / minute = 400 * 60 rev / 60 minutes = 24,000 rev / hour 24,000 * c = 72,000 m : c is the circumference c = 3 meters correct answer e\"" + }, + { + "Answer": 57.59539236861051, + "Options": "a ) 57.6 sec , b ) 20.2 sec , c ) 31.8 sec , d ) 50.4 sec , e ) none of the above", + "Correct": "a", + "Explanation": "\"speed = 55 km / hr ( to convert km / hr in to m / s ) = 55 x 5 / 18 m / s distance = 360 m + 520 m ( if questions is about train crossing a post you need to consider only the length of train , ) = 880 m time = distance / speed = 880 x 18 / ( 5 x 55 ) = 57.6 sec ans is : a\"" + }, + { + "Answer": 84, + "Options": "a ) 76 kmph , b ) 75 kmph , c ) 87 kmph , d ) 56 kmph , e ) 84 kmph", + "Correct": "e", + "Explanation": "\"s = ( 98 + 70 ) / 2 = 84 kmph answer : e\"" + }, + { + "Answer": 8, + "Options": "a ) 10 days , b ) 9 days , c ) 6 days , d ) 8 days , e ) 7 days", + "Correct": "d", + "Explanation": "\"that is , 1 work done = 12 \u00d7 8 \u00d7 10 then , 12 8 \u00d7 10 = ? \u00d7 12 \u00d7 10 ? ( i . e . no . of men required ) = 12 \u00d7 8 \u00d7 10 / 12 \u00d7 10 = 8 days d )\"" + }, + { + "Answer": 44, + "Options": "a ) 30 sec , b ) 32 sec , c ) 36 sec , d ) 38 sec , e ) 44 sec", + "Correct": "e", + "Explanation": "\"relative speed = ( 25 + 2 ) km / hr = 27 km / hr = ( 27 \u00d7 5 / 18 ) m / sec = 15 / 2 m / sec . time taken by the train to pass the man = ( 330 \u00d7 2 / 15 ) sec = 44 sec answer : e\"" + }, + { + "Answer": 60, + "Options": "a ) 45 , b ) 50 , c ) 55 , d ) 60 , e ) 65", + "Correct": "d", + "Explanation": "\"let v be her normal speed and let t be her normal time . d = ( 4 / 5 ) v * ( t + 15 ) since the distance is the same we can equate this to a regular day which is d = v * t v * t = ( 4 / 5 ) v * ( t + 15 ) t / 5 = 12 t = 60 the answer is d .\"" + }, + { + "Answer": 0.6, + "Options": "a ) 2 / 15 , b ) 3 / 5 , c ) 3 / 11 , d ) 1 / 12 , e ) 6 / 13", + "Correct": "b", + "Explanation": "\"a ' s 1 day work = 1 / 15 b ' s 1 day work = 1 / 30 a + b 1 day work = 1 / 15 + 1 / 30 = 3 / 30 = 1 / 10 a + b 4 days work = 1 / 10 * 4 = 2 / 5 remaining work = 1 - 2 / 5 = 3 / 5 answer is b\"" + }, + { + "Answer": 1.6979773693576212, + "Options": "a ) 15 / 10 , b ) 17 / 10 , c ) 16 / 10 , d ) 18 / 10 , e ) 16 / 10", + "Correct": "b", + "Explanation": "\"they are moving in opposite directions , relative speed is equal to the sum of their speeds . relative speed = ( 64 + 42 ) * 5 / 18 = 7 * 5 = 29.4 mps . the time required = d / s = 50 / 29.4 = 17 / 10 sec . answer : b\"" + }, + { + "Answer": 25, + "Options": "a ) 50 , b ) 30 , c ) 125 , d ) 25 , e ) none of these", + "Correct": "d", + "Explanation": "\"h . c . f = ( product of the numbers ) / ( their l . c . m ) = 18750 / 750 = 25 . answer : d\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 10 , c ) 16 , d ) 20 , e ) 25", + "Correct": "a", + "Explanation": "\"the prompt is essentially asking for the maximum number of 10 x 10 squares that can be cut from a larger 20 by 20 square . since each ' row ' and each ' column ' of the larger square can be sub - divided into 2 ' pieces ' each , we have ( 2 ) ( 2 ) = 4 total smaller squares ( at maximum ) . a\"" + }, + { + "Answer": 300, + "Options": "a ) 382 , b ) 782 , c ) 300 , d ) 270 , e ) 881", + "Correct": "c", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec . time = 26 sec . let the length of the train be x meters . then , ( x + 220 ) / 26 = 20 x = 300 m . answer : c\"" + }, + { + "Answer": 14.248860091192705, + "Options": "a ) 12.9 sec , b ) 12.1 sec , c ) 17.9 sec , d ) 16.8 sec , e ) 14.25 sec", + "Correct": "e", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec total distance covered = 110 + 175 = 285 m . required time = 285 / 20 = 14.25 sec . answer : e\"" + }, + { + "Answer": 15840, + "Options": "a ) 15840 , b ) 15848 , c ) 15828 , d ) 27892 , e ) 22892", + "Correct": "a", + "Explanation": "\"a 2 = 69696 = > a = 264 4 a = 1056 1056 * 15 = 15840 answer : a\"" + }, + { + "Answer": 205, + "Options": "a ) 245 , b ) 777 , c ) 282 , d ) 266 , e ) 205", + "Correct": "e", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 170 + x ) / 30 = 25 / 2 = > 2 ( 170 + x ) = 750 = > x = 205 m . answer : e\"" + }, + { + "Answer": 10, + "Options": "a ) 10 : 00 , b ) 4 : 00 , c ) 5 : 00 , d ) 6 : 00 , e ) 7 : 00", + "Correct": "a", + "Explanation": "5 : 00 in evening in chicago = 6 : 00 in evening in new york . so , the train was in chicago 6 : 00 in the evening , new york time . the trip took t = d / r = 480 / 60 = 8 hours . therefore , the train depart from new york at 6 : 00 - 8 hours = 10 : 00 in the morning , new york time . answer : a ." + }, + { + "Answer": 55, + "Options": "a ) 4 , b ) 55 , c ) 15 , d ) 48 , e ) 63", + "Correct": "b", + "Explanation": "\"given : z = s ^ 2 + 2 s for 0 \u2264 s \u2264 7 z ( 2 ) = 2 ^ 2 + 2 * 2 = 8 z ( 7 ) = 7 ^ 2 + 2 * 7 = 63 therefore z ( 7 ) - z ( 3 ) = 63 - 8 = 55 km / hr option b\"" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 4 , c ) 6 , d ) 5 , e ) 7", + "Correct": "c", + "Explanation": "\"average speed = ( 2 * 3 * 2 ) / ( 3 + 2 ) = 12 / 5 km / hr . distance traveled = 12 / 5 * 5 = 12 km . distance between house and school = 12 / 2 = 6 km . answer : c\"" + }, + { + "Answer": 500, + "Options": "a ) 500 m , b ) 1000 m , c ) 1500 m , d ) 2000 m , e ) 2500 m", + "Correct": "a", + "Explanation": "ravi beats ramesh by 5 sec or 100 mtr . . . . means ramesh cover 100 mtr in 5 sec . . . . by this we can get ramesh speed in 20 m / sec 20 . . . . . . . . . . . . . in 1 sec 500 . . . . . . . . in 500 / 20 = 25 sec ( ramesh ' s time ) so ravi take 20 sec to cover 500 mtr . . . . . . by this we can get that ravis speed is 25 m / sec now assume x be the distance from staring line where we need to put the winning post . according to question ravi \u2019 s speed will be 25 * 2 = 50 m / sec & ramesh \u2019 s speed will be 20 * 1.5 = 30 m / sec now assume x be the distance from staring line where we need to put the winning post . they will take same time to reach the wining post . as ravi gives ramesh a 200 m ahead start so he has to accede x meter and ramesh has to accede ( x - 200 ) meter hence we may write , x / 50 = ( x - 200 ) / 30 x = 500 meter answer : a" + }, + { + "Answer": 15, + "Options": "a ) 16 , b ) 17 , c ) 15 , d ) 18 , e ) 12", + "Correct": "c", + "Explanation": "\"t = 12 / 48 * 60 = 15 answer : c\"" + }, + { + "Answer": 20.99832013438925, + "Options": "a ) 28 , b ) 266 , c ) 990 , d ) 20 , e ) 21", + "Correct": "e", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 140 + 280 = 420 m . the time required = d / s = 420 / 20 = 21 sec . answer : e\"" + }, + { + "Answer": 8, + "Options": "a ) 15 , b ) 6 , c ) 40 , d ) 10 , e ) 8", + "Correct": "e", + "Explanation": "\"original number of men = 4 * 12 / ( 12 - 6 ) = 8 answer is e\"" + }, + { + "Answer": 6, + "Options": "a ) 6 , b ) 10 , c ) 11 , d ) 12 , e ) 13", + "Correct": "a", + "Explanation": "\"3 pumps take 16 hrs total ( 8 hrs a day ) if 1 pump will be working then , it will need 16 * 3 = 48 hrs 1 pump need 48 hrs if i contribute 8 pumps then 48 / 8 = 6 hrs . answer : a\"" + }, + { + "Answer": 14437.5, + "Options": "a ) $ 12537.50 , b ) $ 13537.50 , c ) $ 14437.50 , d ) $ 16437.50 , e ) $ 18537.50", + "Correct": "c", + "Explanation": "\"c area = 5.5 \u00d7 3.75 sq . metre . cost for 1 sq . metre . = $ 700 hence , total cost = 5.5 \u00d7 3.75 \u00d7 700 = $ 14437.50\"" + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 10 , b ) 15 , c ) 3 , d ) 6 , e ) 12", + "Correct": "d", + "Explanation": "\"x ' s 1 day ' s work = 1 / 10 y ' s 1 day ' s work = 1 / 15 ( x + y ) ' s 1 day ' s work = ( 1 / 10 + 1 / 15 ) = 1 / 6 both together will finish the work in 6 days . correct option is d\"" + }, + { + "Answer": 82, + "Options": "a ) 48 kmph , b ) 54 kmph , c ) 66 kmph , d ) 82 kmph , e ) 69 kmph", + "Correct": "d", + "Explanation": "both trains are moving in opposite direction means we need to add their speeds . i . e : 1 st train speed is = 50 kmph let the 2 nd train speed = x kmph relative speed = ( 50 + x ) kmph = ( 50 + x ) * 5 / 18 = ( 250 + 5 x ) / 18 m / sec distance covered by two trains = 108 + 112 = 220 m therefore , 220 / ( ( 250 + 5 x ) / 18 ) = 6 = > 250 + 5 x = 660 = > x = 82 km / hr . answer : d" + }, + { + "Answer": 16, + "Options": "a ) 87 days , b ) 20 days , c ) 26 days , d ) 19 days , e ) 16 days", + "Correct": "e", + "Explanation": "\"c = 1 / 4 - 1 / 8 - 1 / 16 = 1 / 16 = > 16 days answer : e\"" + }, + { + "Answer": 175, + "Options": "a ) 287 , b ) 369 , c ) 175 , d ) 279 , e ) 361", + "Correct": "c", + "Explanation": "\"3 x * 2 x = 3750 = > x = 25 2 ( 75 + 50 ) = 250 m 250 * 0.70 = rs . 175 answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 20 , b ) 10 , c ) 30 , d ) 50 , e ) 40", + "Correct": "e", + "Explanation": "\"let the number of correct answers be x then , number of wrong answers = ( 80 - x ) 4 x \u2013 ( 80 - x ) = 120 = > 4 x \u2013 80 + x = 120 = > 5 x = 200 = > x = 200 / 5 = 40 i . e . , he does 40 questions correctly answer is e .\"" + }, + { + "Answer": 1080, + "Options": "a ) 540 m , b ) 960 m , c ) 1080 m , d ) 1020 m , e ) 1120 m", + "Correct": "c", + "Explanation": "solution : the first drop is 120 metres . after this the ball will rise by 96 metres and fall by 96 metres . this process will continue in the form of infinite gp with common ratio 0.8 and first term 96 . the required answer is given by the formula : a / ( 1 - r ) now , [ { 120 / ( 1 / 5 ) } + { 96 / ( 1 / 5 ) } ] = 1080 m . answer c" + }, + { + "Answer": 5, + "Options": "a ) 4 hours , b ) 5 hours , c ) 6 hours , d ) 7 hours , e ) 8 hours", + "Correct": "b", + "Explanation": "\"explanation : it is very important to check , if the boat speed given is in still water or with water or against water . because if we neglect it we will not reach on right answer . i just mentioned here because mostly mistakes in this chapter are of this kind only . lets see the question now . speed downstream = ( 16 + 5 ) = 21 kmph time = distance / speed = 105 / 21 = 5 hours option b\"" + }, + { + "Answer": 20.0016, + "Options": "a ) 10 mps , b ) 76 mps , c ) 20 mps , d ) 97 mps , e ) 16 mps", + "Correct": "c", + "Explanation": "\"72 * 5 / 18 = 20 mps answer : c\"" + }, + { + "Answer": 5.999520038396929, + "Options": "a ) 11 sec , b ) 6 sec , c ) 77 sec , d ) 14 sec , e ) 12", + "Correct": "b", + "Explanation": "\"speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 100 * 3 / 50 = 6 sec . answer : b\"" + }, + { + "Answer": 376.99111843077515, + "Options": "a ) 400 , b ) 370.4 , c ) 376.98 , d ) 340.9 , e ) 350.03", + "Correct": "c", + "Explanation": "\"2 * 22 / 7 * 20 = 125.66 125.66 * 3 = rs . 376.98 answer : c\"" + }, + { + "Answer": 23.999999999999996, + "Options": "a ) 20 , b ) 24 , c ) 25 , d ) 27 , e ) 30", + "Correct": "b", + "Explanation": "\"work done by p and q in 1 day = 1 / 10 work done by r in 1 day = 1 / 60 work done by p , q and r in 1 day = 1 / 10 + 1 / 60 = 7 / 60 but work done by p in 1 day = work done by q and r in 1 day . hence the above equation can be written as work done by p in 1 day \u00e3 \u2014 2 = 7 / 60 = > work done by p in 1 day = 7 / 120 = > work done by q and r in 1 day = 7 / 120 hence work done by q in 1 day = 7 / 120 \u00e2 \u20ac \u201c 1 / 60 = 1 / 24 so q alone can do the work in 24 days answer is b .\"" + }, + { + "Answer": 12, + "Options": "['a ) 17', 'b ) 19', 'c ) 16', 'd ) 12', 'e ) 14']", + "Correct": "d", + "Explanation": "63 + 83 + 103 = a 3 = > a = 12 answer : d" + }, + { + "Answer": 330, + "Options": "a ) 380 ft , b ) 400 ft , c ) 410.05 ft , d ) 329.85 ft , e ) 420.85 ft", + "Correct": "d", + "Explanation": "\"per second = > 5 * 5280 ft / 60 * 60 = 7.33 ft 45 seconds = > 7.33 * 45 = 329.85 ft answer : d\"" + }, + { + "Answer": 24, + "Options": "a ) 20 min , b ) 22 min , c ) 15 min , d ) 18 min , e ) 24 min", + "Correct": "e", + "Explanation": "\"let t = usual time = distance / usual speed t + 6 = distance / ( 4 * usual speed / 5 ) = ( 5 * distance ) / ( 4 * usual speed ) = 5 t / 4 t = 24 the answer is e .\"" + }, + { + "Answer": 12000, + "Options": "a ) 9000 cubic meters , b ) 10500 cubic meters , c ) 11750 cubic meters , d ) 12000 cubic meters , e ) 12500 cubic meters", + "Correct": "d", + "Explanation": "\"d . 12000 cubic meters . if both hte valves fill the pool in 48 minutes and valve 1 only fills in 120 minutes then valve 2 alone will fill the pool in ( 48 * 120 ) / ( 120 - 48 ) = 80 minutes . now , if valve 1 admits x cubic meter of water per minute then the capacity of pool will be 120 x and also 80 ( x + 50 ) . or , 120 x = 80 ( x + 50 ) . or x = 100 . hence , the capacity of pool = 120 x = 12000 cubic meters .\"" + }, + { + "Answer": 200.00000000000006, + "Options": "a ) 227 , b ) 266 , c ) 230 , d ) 288 , e ) 200", + "Correct": "e", + "Explanation": "\"speed = [ 300 / 18 ] m / sec = 50 / 3 m / sec . let the length of the platform be x meters . then , x + 300 / 30 = 50 / 3 3 ( x + 300 ) = 1500 \u00e8 x = 200 m . answer : e\"" + }, + { + "Answer": 0.9, + "Options": "a ) 0.9 kmph , b ) 9.9 kmph , c ) 1.3 kmph , d ) 1.2 kmph , e ) 5.7 kmph", + "Correct": "a", + "Explanation": "\"9 / 36 m / s = 9 / 36 * 18 / 5 = 9 / 10 = 0.9 kmph . answer : a\"" + }, + { + "Answer": 2.699784017278618, + "Options": "a ) 2.5 sec , b ) 2.9 sec , c ) 2.7 sec , d ) 8.7 sec , e ) 8.5 sec", + "Correct": "c", + "Explanation": "\"speed = 160 * 5 / 18 = 44 m / sec time taken = 120 / 44 = 2.7 sec . answer : c\"" + }, + { + "Answer": 350, + "Options": "a ) 320 m , b ) 350 m , c ) 650 m , d ) none of these , e ) can not be determined", + "Correct": "b", + "Explanation": "\"solution speed = ( 300 / 18 ) m / sec = ( 50 / 3 ) m / sec . length of the platform be x metres . then = x + 300 / 39 = 50 / 3 m / sec = 3 ( x + 300 ) = 1950 . = 350 m answer b\"" + }, + { + "Answer": 44, + "Options": "a ) 38 sec , b ) 35 sec , c ) 44 sec , d ) 40 sec , e ) 50 sec", + "Correct": "c", + "Explanation": "\"explanation : speed = 45 km / hr = 45 \u00d7 ( 10 / 36 ) m / s = 150 / 12 = 50 / 4 = 25 / 2 m / s total distance = length of the train + length of the platform = 360 + 190 = 550 meter time taken to cross the platform = 550 / ( 25 / 2 ) = 550 \u00d7 2 / 25 = 44 seconds answer : option c\"" + }, + { + "Answer": 100, + "Options": "a ) 60 m , b ) 100 m , c ) 43 m , d ) 20 m , e ) 23 m", + "Correct": "b", + "Explanation": "\"to reach the winning post a will have to cover a distance of ( 500 - 200 ) m , i . e . , 300 m . while a covers 3 m , b covers 4 m . while a covers 300 m , b covers 4 x 300 / 3 m = 400 m . thus , when a reaches the winning post , b covers 400 m and therefore remains 100 m behind . a wins by 100 m . answer : b\"" + }, + { + "Answer": 17, + "Options": "a ) 20 , b ) 19 , c ) 18 , d ) 17 , e ) 16", + "Correct": "d", + "Explanation": "\"lets q ' s first number be 14 as per question , q contains 9 multiples of 14 , so let q ' s last number be 126 . ( 14 \u2217 9 ) we have , a n = a + ( n \u2212 1 ) d then 126 = 14 + ( n - 1 ) 7 solving for n , we get n = 17 answer : d\"" + }, + { + "Answer": 18.334799999999998, + "Options": "a ) 10.33 mps , b ) 17 mps , c ) 97 mps , d ) 17.33 mps , e ) 18.33 mps", + "Correct": "e", + "Explanation": "\"66 * 5 / 18 = 18.33 mps answer : e\"" + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 36 , c ) 28 , d ) 20 , e ) 24", + "Correct": "a", + "Explanation": "explanation : distance covered = 120 + 120 = 240 m time = 36 s let the speed of each train = v . then relative speed = v + v = 2 v 2 v = distance / time = 240 / 36 = 6.667 m / s speed of each train = v = 6.667 / 2 = 3.33 m / s = 3.33 \u00d7 36 / 10 km / hr = 12 km / hr answer : option a" + }, + { + "Answer": 18, + "Options": "a ) 12 , b ) 15 , c ) 17 , d ) r = 18 , e ) 20", + "Correct": "d", + "Explanation": "since we are concerned with integers between 1 and 20 , write down the primes till 40 . 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 ( you should be very comfortable with the first few primes . . . ) 2 , 3 , 5 , 7 , 1112 , 13 , 17 , 19 , 23 , 29 , 31 , 37 - three pairs ( 1113 ) , ( 717 ) , ( 5 , 19 ) 2 , 3 , 5 , 7 , 11 , 13 , 1517 , 19 , 23 , 29 , 31 , 37 - three pairs ( 13 , 17 ) , ( 11 , 19 ) , ( 7 , 23 ) 2 , 3 , 5 , 7 , 11 , 1317 , 19 , 23 , 29 , 31 , 37 - three pairs ( 11 , 23 ) , ( 5 , 29 ) , ( 3 , 31 ) 2 , 3 , 5 , 7 , 11 , 13 , 17 , 1819 , 23 , 29 , 31 , 37 - four pairs ( 17 , 19 ) , ( 13 , 23 ) , ( 7 , 29 ) , ( 5 , 31 ) 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 2023 , 29 , 31 , 37 - definitely can not be more than 4 since there are only 4 primes more than 20 . so must be less than 4 pairs . ignore . answer ( d ) ." + }, + { + "Answer": 0.25, + "Options": "a ) 1 / 3 , b ) 1 / 2 , c ) 1 / 4 , d ) 1 , e ) 5 / 6", + "Correct": "c", + "Explanation": "a + b = 2 ; a + c = 3 / 2 , b + c = 2 ; add then 2 * ( a + b + c ) = 4 + 3 / 2 = 11 / 2 a + b + c = 11 / 4 hrs c" + }, + { + "Answer": 3, + "Options": "a ) 6 , b ) 5 , c ) 7 , d ) 3 , e ) 2", + "Correct": "d", + "Explanation": "\"speed downstream = d / t = 90 / 3 = 30 kmph speed upstream = d / t = 72 / ( 3 ) = 24 kmph the speed of the stream = ( 30 - 24 ) / 2 = 3 kmph answer : d\"" + }, + { + "Answer": 25, + "Options": "a ) 25 , b ) 50 , c ) 75 , d ) 100 , e ) 125", + "Correct": "a", + "Explanation": "\"let the capacity of 1 bucket = x . then , the capacity of tank = 10 x . new capacity of bucket = 2 / 5 x therefore , required number of buckets = ( 10 x ) / ( 2 x / 5 ) = ( 10 x ) x 5 / 2 x = 50 / 2 = 25 answer is a .\"" + }, + { + "Answer": 20.000000000000004, + "Options": "a ) 30 days , b ) 20 days , c ) 15 days , d ) 18 days , e ) 21 days", + "Correct": "b", + "Explanation": "solution : we will use work equivalence method , 30 / 18 = ( 1 / 7 ) / ( 6 / 7 ) * x / 2 ; 5 / 3 = ( 1 / 6 ) * x / 2 ; or , x = 60 / 3 = 20 days . answer : option b" + }, + { + "Answer": 15, + "Options": "a ) 87 days , b ) 10 days , c ) 15 days , d ) 44 days , e ) 22 days", + "Correct": "c", + "Explanation": "total work to be done = 30 * 40 = 1200 let 15 men leave the work after ' p ' days , so that the remaining work is completed in 40 days after they leave the work . 40 p + ( 15 * 40 ) = 1200 40 p = 600 = > p = 15 days answer : c" + }, + { + "Answer": 125.00000000000003, + "Options": "a ) 44 % , b ) 125 % , c ) 105 % , d ) 225 % , e ) 400 %", + "Correct": "b", + "Explanation": "tom chops 4 lbs in 6 minutes tammy chops 9 lbs in 6 minutes so in the same amount of time , tammy chops 125 % more than tom , since 9 is 125 % greater than 4 . so 125 % is the answer . note that the actual time does n ' t matter . if you multiply the time each work by x , you ' ll multiply the work each does by x , and 9 x is still 125 % greater than 4 x . ans : b" + }, + { + "Answer": 4.999999999999999, + "Options": "a ) 1 hrs , b ) 3 hrs , c ) 4 hrs , d ) 5 hrs , e ) 7 hrs", + "Correct": "d", + "Explanation": "john will do 3 / 5 in 3 hrs , so john does 3 / 5 of the work . . therefore , jack will do the remaining 2 / 5 th work alone . . as the speed of jack is 2 / 5 rate of john , jack will do the 2 / 5 th work in same time that john takes to complete full job . . . ans 5 d" + }, + { + "Answer": 0.5, + "Options": "a ) 1 / 8 , b ) 1 / 3 , c ) 1 / 6 , d ) 1 / 2 , e ) 5 / 3", + "Correct": "d", + "Explanation": "\"a ' s one day ' s work = 1 / 15 b ' s one day ' s work = 1 / 30 ( a + b ) ' s one day ' s work = 1 / 15 + 1 / 30 = 1 / 10 the part of the work completed in 5 days = 5 ( 1 / 10 ) = 1 / 2 . answer : d\"" + }, + { + "Answer": 104, + "Options": "a ) 85 \u00b0 f , b ) 92 \u00b0 f , c ) 96 \u00b0 f , d ) 99 \u00b0 f , e ) 104 \u00b0 f", + "Correct": "e", + "Explanation": "\"let f and c denote the temperature in fahrenheit and celsius respectively . ( f - 32 ) / ( 212 - 32 ) = ( c - 0 ) / ( 100 - 0 ) f = 9 c / 5 + 32 f = 9 ( 40 ) / 5 + 32 = 104 \u00b0 f the answer is e .\"" + }, + { + "Answer": 9.341825902335456, + "Options": "a ) 18 , b ) 26 , c ) 14 , d ) 12 , e ) 9.3", + "Correct": "e", + "Explanation": "\"2 * 22 / 7 * 18 * x = 1056 = > x = 9.3 answer : e\"" + }, + { + "Answer": 16, + "Options": "a ) 50 kmph , b ) 60 kmph , c ) 65 kmph , d ) 16 kmph , e ) none", + "Correct": "d", + "Explanation": "\"time = 6 distence = 144 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 144 / 9 = 16 kmph d )\"" + }, + { + "Answer": 5.0769230769230775, + "Options": "a ) 2.07 , b ) 3.07 , c ) 5.07 , d ) 4.07 , e ) 2", + "Correct": "c", + "Explanation": "sol . speed = [ 78 x 5 / 18 ] m / sec = 21.7 m / sec . time taken = ( 110 / 21.7 ) sec = 5.07 sec . answer c" + }, + { + "Answer": 41.27388535031847, + "Options": "a ) 36 kmh , b ) 40 kmh , c ) 41 kmh , d ) 44 kmh , e ) 50 kmh", + "Correct": "c", + "Explanation": "\"assume d / 3 = 2160 ( this number is convenient because it is divisible by 80 , 24 and 54 ) so : 2160 = 80 * t 1 = 27 hrs 2160 = 24 * t 2 = 90 hrs 2160 = 54 * t 3 = 40 hrs t = t 1 + t 2 + t 3 = 157 hrs d = rt ( 240 * 3 ) = r * 157 r = 41.27 answer : c\"" + }, + { + "Answer": 29.997600191984642, + "Options": "a ) 22 sec , b ) 27 sec , c ) 30 sec , d ) 24 sec , e ) 11 sec", + "Correct": "c", + "Explanation": "\"explanation : d = 100 + 200 = 300 s = 36 * 5 / 18 = 10 mps t = 300 / 10 = 10 sec answer : option c\"" + }, + { + "Answer": 18, + "Options": "a ) 12 , b ) 13 , c ) 16 , d ) 17 , e ) 18", + "Correct": "e", + "Explanation": "\"work done by x in 1 day = 1 / 36 work done by y in 1 day = 1 / 24 work done by y in 12 days = 12 / 24 = 1 / 2 remaining work = 1 \u2013 1 / 2 = 1 / 2 number of days in which x can finish the remaining work = ( 1 / 2 ) / ( 1 / 36 ) = 18 e\"" + }, + { + "Answer": 3, + "Options": "a ) 1 hrs , b ) 2 hrs , c ) 3 hrs , d ) 4 hrs , e ) 5 hrs", + "Correct": "c", + "Explanation": "car 1 50 50 50 total = 150 car 2 60 60 60 total = 180 differece = 30 miles after 3 hrs . answer : c" + }, + { + "Answer": 89, + "Options": "a ) 65 , b ) 80 , c ) 85 , d ) 82 , e ) 89", + "Correct": "e", + "Explanation": "speed = ( 240 / 24 ) m / sec = 10 m / sec . therefore , required time = ( 240 + 650 ) / 10 sec = 89 sec . answer is e ." + }, + { + "Answer": 12, + "Options": "a ) 8 , b ) 12 , c ) 15 , d ) 17 , e ) 19", + "Correct": "b", + "Explanation": "\"30 * 25 = 750 360 - - - - - - - - - - - 380 25 + 7.50 = 32.5 390 / 32.5 = 12 b\"" + }, + { + "Answer": 14, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 17", + "Correct": "c", + "Explanation": "\"26 trees have 25 gaps between them , required distance ( 350 / 25 ) = 14 c\"" + }, + { + "Answer": 142.49298245614034, + "Options": "a ) 142 seconds , b ) 150 seconds , c ) 177 seconds , d ) 200 seconds , e ) 270 seconds", + "Correct": "a", + "Explanation": "tap 1 : 283 secs tap 2 : 287 secs considering the average of these 2 taps : 285 secs . so 1 tap can fill the tank in 285 secs , so 2 taps can fill the tank in 285 / 2 = 142.5 secs . closest answer is a ." + }, + { + "Answer": 1400, + "Options": "a ) 1300 m , b ) 1350 m , c ) 1400 m , d ) 1450 m , e ) 1500 m", + "Correct": "c", + "Explanation": "\"speed = ( 240 * 5 / 18 ) m / sec = ( 200 / 3 ) m / sec length of the train = ( speed x time ) = ( 200 / 3 * 21 ) m = 1400 m . answer : c\"" + }, + { + "Answer": 225, + "Options": "a ) 76 m , b ) 178 m , c ) 225 m , d ) 187 m , e ) 176 m", + "Correct": "c", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 150 + x ) / 30 = 25 / 2 = > 2 ( 150 + x ) = 750 = > x = 225 m . answer : c\"" + }, + { + "Answer": 16, + "Options": "['a ) 14 m', 'b ) 18 m', 'c ) 24 m', 'd ) 16 m', 'e ) none of the above']", + "Correct": "d", + "Explanation": "let breadth = x m . and length = 3 x m . x * 3 x = 12 , x ^ 2 = 4 , x = 2 . length = 6 m , breadth = 2 m . perimeter = 2 * ( 6 + 2 ) = 16 m answer d" + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 67 , c ) 95 , d ) 36 , e ) 66", + "Correct": "a", + "Explanation": "\"let the leak can empty the full tank in x hours 1 / 4 - 1 / x = 1 / 6 = > 1 / x = 1 / 4 - 1 / 6 = ( 3 - 2 ) / 12 = 1 / 12 = > x = 12 . answer : a\"" + }, + { + "Answer": 43.196544276457885, + "Options": "a ) 41.1 sec , b ) 20.2 sec , c ) 31.8 sec , d ) 43.2 sec , e ) none of the above", + "Correct": "d", + "Explanation": "speed = 55 km / hr ( to convert km / hr in to m / s ) = 55 x 5 / 18 m / s distance = 140 m + 520 m ( if questions is about train crossing a post you need to consider only the length of train , ) = 660 m time = distance / speed = 660 x 18 / ( 5 x 55 ) = 43.2 sec ans is : d" + }, + { + "Answer": 240, + "Options": "a ) 235 , b ) 240 , c ) 245 , d ) 250 , e ) 255", + "Correct": "b", + "Explanation": "\"speed = 45 * 5 / 18 = 25 / 2 m / sec . time = 30 sec let the length of bridge be x meters . then , ( 135 + x ) / 30 = 25 / 2 x = 240 m . answer : option b\"" + }, + { + "Answer": 16.5, + "Options": "a ) $ 30.50 , b ) $ 16.50 , c ) $ 28.50 , d ) $ 12 , e ) $ 9.60", + "Correct": "b", + "Explanation": "8.25 * 2 = 16.50 . answer is b ." + }, + { + "Answer": 132, + "Options": "a ) 142 , b ) 130 , c ) 132 , d ) 123 , e ) 120", + "Correct": "c", + "Explanation": "\"capacity of the tank = ( 12 \u00e3 \u2014 55 ) litre number of buckets required of capacity of each bucket is 17 litre = 12 \u00e3 \u2014 55 / 5 = 12 \u00e3 \u2014 11 = 132 answer is c\"" + }, + { + "Answer": 12, + "Options": "a ) 10 : 00 , b ) 11 : 00 , c ) 09 : 00 , d ) 12 : 00 , e ) 07 : 00", + "Correct": "d", + "Explanation": "d 12 : 00 both minute and hour clock lie exactly between the number one and two in the number ." + }, + { + "Answer": 10, + "Options": "a ) 6 , b ) 10 , c ) 8 , d ) 7.5 , e ) 3.5", + "Correct": "b", + "Explanation": "\"john 6 * 20 = 120 jane 10 * 12 = 120 in 4 days working alone john did : 4 days * rate = 4 * 6 = 24 , so working together they did 120 - 24 = 96 - - > rate ( a + b ) * t = 96 - > 16 * t = 96 , t = 6 . hence the answer is b ( john worked 4 days + 6 days they worked together = 10 days )\"" + }, + { + "Answer": 0.6153846153846154, + "Options": "a ) 4 / 7 , b ) 5 / 9 , c ) 6 / 11 , d ) 7 / 12 , e ) 8 / 13", + "Correct": "e", + "Explanation": "\"let x be the number of workers on the day crew . let y be the number of boxes loaded by each member of the day crew . then the number of boxes loaded by the day crew is xy . the number of boxes loaded by the night crew is ( 5 x / 6 ) ( 3 y / 4 ) = 5 xy / 8 the total number of boxes is xy + 5 xy / 8 = 13 xy / 8 the fraction loaded by the day crew is xy / ( 13 xy / 8 ) = 8 / 13 the answer is e .\"" + }, + { + "Answer": 45, + "Options": "a ) 45 , b ) 48 , c ) 51 , d ) 54 , e ) 57", + "Correct": "a", + "Explanation": "\"( 4.4 miles / 8 minutes ) * 60 minutes / hour = 33 mph let x be the original speed . x - 4 ( 3 ) = 33 x = 45 mph the answer is a .\"" + }, + { + "Answer": 7, + "Options": "a ) 5 hours , b ) 4 hours , c ) 3 hours , d ) 2 hours , e ) 7 hours", + "Correct": "e", + "Explanation": "\"explanation : speed of the boat in still water = 22 km / hr speed of the stream = 5 km / hr speed downstream = ( 22 + 5 ) = 27 km / hr distance travelled downstream = 189 km time taken = distance / speed = 189 / 27 = 7 hours . answer : option e\"" + }, + { + "Answer": 38.46153846153846, + "Options": "a ) 39.5 % , b ) 38.5 % , c ) 36.5 % , d ) 37.5 % , e ) 30.5 %", + "Correct": "b", + "Explanation": "\"10 / 26 * 100 = 38.46 38.5 % correct answer b\"" + }, + { + "Answer": 72, + "Options": "a ) 66 , b ) 70 , c ) 72 , d ) 75 , e ) 78", + "Correct": "c", + "Explanation": "\"let the distance one way be x time from home to work = x / 70 time from work to home = x / 105 total time = 2 hrs ( x / 70 ) + ( x / 105 ) = 2 solving for x , we get x = 84 time from home to work in minutes = ( 84 ) * 60 / 70 = 72 minutes ans = c\"" + }, + { + "Answer": 285, + "Options": "['a ) 289 cm 2', 'b ) 285 cm 2', 'c ) 287 cm 2', 'd ) 267 cm 2', 'e ) 207 cm 2']", + "Correct": "b", + "Explanation": "area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 15 ) = 285 cm 2 answer : b" + }, + { + "Answer": 20, + "Options": "a ) 1 hour , b ) 45 minutes , c ) 20 minutes , d ) 5 minutes , e ) 1 hour and 10 minutes", + "Correct": "c", + "Explanation": "answer is ( c ) . jose calculates that if the files weighs 160 megabytes , and his internet uploads at 8 megabytes per minute , it would take 20 minutes to upload as 160 divided by 8 megabytes per minute equals 20 ." + }, + { + "Answer": 120, + "Options": "a ) 54 , b ) 110 , c ) 120 , d ) 16 , e ) 180", + "Correct": "c", + "Explanation": "\"c 120 it takes 3 hours for the friends to meet ; so the pigeon flies for 3 hours at 40 mph = 120 miles\"" + }, + { + "Answer": 15, + "Options": "a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", + "Correct": "e", + "Explanation": "easy way to go about this problem is we have 6 * 6 = 36 enteries in table the least number of enteries would be ( 36 - 6 ) / 2 since 6 enteries represent the distances between same points . alternatively this can be solved as combination problem . correct answer e" + }, + { + "Answer": 12, + "Options": "a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 14", + "Correct": "c", + "Explanation": "\"33 / 3 = 11 the three numbers are 10 , 11 , and 12 . the answer is c .\"" + }, + { + "Answer": 30, + "Options": "a ) 10 , b ) 22 , c ) 25 , d ) 27 , e ) 30", + "Correct": "e", + "Explanation": "work done by p and q in 1 day = 1 / 10 work done by r in 1 day = 1 / 30 work done by p , q and r in 1 day = 1 / 10 + 1 / 30 = 4 / 30 but work done by p in 1 day = work done by q and r in 1 day . hence the above equation can be written as work done by p in 1 day \u00e3 \u2014 2 = 4 / 30 = > work done by p in 1 day = 4 / 60 = > work done by q and r in 1 day = 4 / 60 hence work done by q in 1 day = 4 / 60 \u00e2 \u20ac \u201c 1 / 30 = 2 / 60 = 1 / 30 so q alone can do the work in 30 days answer is e ." + }, + { + "Answer": 5, + "Options": "a ) 6 hours , b ) 5 hours , c ) 7 hours , d ) 8 hours , e ) none", + "Correct": "b", + "Explanation": "\"explanation : speed of the truck = distance / time = 240 / 8 = 30 kmph now , speed of car = ( speed of truck + 18 ) kmph = ( 30 + 18 ) = 48 kmph distance travelled by car = 240 + 0 = 240 km time taken by car = distance / speed = 240 / 48 = 5 hours . answer \u2013 b\"" + }, + { + "Answer": 47.99616030717543, + "Options": "a ) 12 sec , b ) 24 sec , c ) 48 sec , d ) 60 sec , e ) none", + "Correct": "c", + "Explanation": "sol . relative speed = ( 45 + 30 ) km / hr = ( 75 x 5 / 18 ) m / sec = ( 125 / 6 ) m / sec . distance covered = ( 500 + 500 ) m = 1000 m . required time = ( 1000 x 6 / 125 ) sec = 48 sec . answer c" + }, + { + "Answer": 500.03999999999996, + "Options": "a ) 500 , b ) 600 , c ) 289 , d ) 276 , e ) 207", + "Correct": "a", + "Explanation": "\"90 kmph = 90 * 5 / 18 = 25 mps d = speed * time = 25 * 20 = 500 m . answer : a\"" + }, + { + "Answer": 24, + "Options": "a ) 35 , b ) 24 , c ) 14 , d ) 24 , e ) 12", + "Correct": "d", + "Explanation": "\"whole trip = distance by foot + distance by bus + distance by car x = 1 / 2 x + 1 / 4 x + 6 x - 1 / 2 x - 1 / 4 x = 6 x = 24 km option : d\"" + }, + { + "Answer": 70, + "Options": "a ) 76 kmph , b ) 70 kmph , c ) 87 kmph , d ) 56 kmph , e ) 86 kmph", + "Correct": "b", + "Explanation": "\"s = ( 80 + 60 ) / 2 = 70 kmph answer : b\"" + }, + { + "Answer": 16, + "Options": "a ) 10 , b ) 8 , c ) 12 , d ) 14 , e ) 16", + "Correct": "e", + "Explanation": "26 trees have 25 gaps between them . length of each gap = 400 / 25 = 16 i . e . , distance between two consecutive trees = 16 answer is e ." + }, + { + "Answer": 6, + "Options": "a ) 24 , b ) 77 , c ) 6 , d ) 29 , e ) 21", + "Correct": "c", + "Explanation": "\"explanation : less men , means more days { indirect proportion } let the number of days be x then , 108 : 36 : : 18 : x x = 6 answer : c ) 6 days\"" + }, + { + "Answer": 69.99999999999999, + "Options": "a ) 68 , b ) 70 , c ) 72 , d ) 74 , e ) 76", + "Correct": "b", + "Explanation": "if the two trains cover a total distance d , then train x travels ( 7 / 15 ) * d while train y travels ( 8 / 15 ) * d . if the trains travel 150 km to the meeting point , then train x travels ( 7 / 15 ) * 150 = 70 km . the answer is b ." + }, + { + "Answer": 3, + "Options": "a ) 12 , b ) 9 , c ) 8 , d ) 6 , e ) 3", + "Correct": "e", + "Explanation": "\"a ' s 1 hour ' s work = 1 / 2 ; ( b + c ) ' s 1 hour ' s work = 1 / 3 ; ( a + c ) ' s 1 hour ' s work = 1 / 2 . ( a + b + c ) ' s 1 hour ' s work = ( 1 / 2 + 1 / 3 ) = 5 / 6 . b ' s 1 hour ' s work = ( 5 / 6 - 1 / 2 ) = 1 / 3 . therefore a alone will take 3 hours to do the work . e\"" + }, + { + "Answer": 180, + "Options": "a ) 100 , b ) 120 , c ) 180 , d ) 200 , e ) 240", + "Correct": "c", + "Explanation": "x is the segment to be traveled x / 4 + x / 5 + x / 6 = 37 or 74 x / 120 = 37 x = 60 miles . total distance = 3 * 60 = 180 miles c" + }, + { + "Answer": 8, + "Options": "a ) 3 , b ) 5 , c ) 8 , d ) 2 , e ) 6", + "Correct": "c", + "Explanation": "\"a rate = 1 / 12 b rate = 1 / 24 ( a + b ) rate = ( 1 / 12 ) + ( 1 / 24 ) = 1 / 8 a & b finish the work in 8 days correct option is c\"" + }, + { + "Answer": 520.8, + "Options": "a ) rs . 258.80 , b ) rs . 358.80 , c ) rs . 458.80 , d ) rs . 520.80 , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : area to be plastered = [ 2 ( l + b ) \u00e3 \u2014 h ] + ( l \u00e3 \u2014 b ) = [ 2 ( 25 + 12 ) \u00e3 \u2014 6 ] + ( 25 \u00e3 \u2014 12 ) = 744 sq m cost of plastering = 744 \u00e3 \u2014 ( 70 / 100 ) = rs . 520.80 answer : d\"" + }, + { + "Answer": 0.375, + "Options": "a ) 3 / 5 , b ) 3 / 6 , c ) 3 / 7 , d ) 3 / 8 , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : please note in this question , we need to answer part of work for a day rather than complete work . it was worth mentioning here because many do mistake at this point in hurry to solve the question so lets solve now , a ' s 1 day work = 1 / 8 b ' s 1 day work = 1 / 4 [ because b take half the time than a ] ( a + b ) ' s one day work = ( 1 / 8 + 1 / 4 ) = 3 / 8 so in one day 3 / 8 work will be done answer : d\"" + }, + { + "Answer": 8.999999999999996, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", + "Correct": "a", + "Explanation": "\"one way of approaching this question is by relative speed method 1 . speed / rate of donovan = distance / time = > 500 / 45 = > 100 / 9 2 . speed / rate of michael = distance / time = > 500 / 40 = > 50 / 4 relative speed between them = 50 / 4 - 100 / 9 = > 25 / 36 ( we subtract the rates if moving in the same direction and add the rates if moving in the opposite direction ) in order to pass donovan - distance to be covered = 500 , relative rate = 50 / 36 total time taken by micheal to surpass donovan = distance / rate = > 500 * 36 / 50 = > 3600 / 10 = > 360 no . of laps taken by michael = total time / michael ' s rate = > 360 / 40 = > 9 hence correct answer is 9 laps . a\"" + }, + { + "Answer": 2, + "Options": "a ) 1 , b ) 3 , c ) 4 , d ) 5 , e ) 2", + "Correct": "e", + "Explanation": "\"m = | | n \u2013 3 | \u2013 2 | can be 4 only and only when n - 3 = + / - 8 . so there are 2 values of n answer : e\"" + }, + { + "Answer": 6, + "Options": "a ) 8 kmph , b ) 9 kmph , c ) 7 kmph , d ) 6 kmph , e ) 5 kmph", + "Correct": "d", + "Explanation": "\"the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 18 / 3 = 6 kmph . answer : d\"" + }, + { + "Answer": 77, + "Options": "a ) a ) 87 , b ) b ) 77 , c ) c ) 66 , d ) d ) 55 , e ) e ) 97", + "Correct": "b", + "Explanation": "\"( 63 * 8 ) / 30 = ( x * 6 ) / 50 = > x = 140 140 \u2013 63 = 77 answer : b\"" + }, + { + "Answer": 16, + "Options": "a ) 16 kmph , b ) 19 kmph , c ) 14 kmph , d ) 11 kmph , e ) 13 kmph", + "Correct": "a", + "Explanation": "\"the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 48 / 3 = 16 kmph . answer : a\"" + }, + { + "Answer": 78840, + "Options": "a ) 64,420 , b ) 78,840 , c ) 83,160 , d ) 88,970 , e ) 94,320", + "Correct": "b", + "Explanation": "21.9 * 3600 = 78,840 the answer is b ." + }, + { + "Answer": 7.384615384615385, + "Options": "a ) 3.33 days , b ) 8.33 days , c ) 3.99 days , d ) 7.38 days , e ) 2.88 days", + "Correct": "d", + "Explanation": "a + b = 1 / 8 b + c = 1 / 12 c + a = 1 / 16 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 2 ( a + b + c ) = 1 / 8 + 1 / 12 + 1 / 16 = 13 / 48 a + b + c = 13 / 96 96 / 13 = 7.38 days answer : d" + }, + { + "Answer": 6, + "Options": "a ) 5 , b ) 7 , c ) 6 , d ) 8 , e ) 9", + "Correct": "c", + "Explanation": "\"son ' s 1 day ' s work = ( 1 / 3 ) - ( 1 / 6 ) = 1 / 6 the son alone can do the work in 6 days answer is c\"" + }, + { + "Answer": 12.5, + "Options": "a ) 12.5 m , b ) 10.5 m , c ) 14 , d ) 12 , e ) 10", + "Correct": "a", + "Explanation": "explanation : let the required height of the building be x meter more shadow length , more height ( direct proportion ) hence we can write as ( shadow length ) 40.25 : 28.75 : : 17.5 : x \u21d2 40.25 \u00d7 x = 28.75 \u00d7 17.5 \u21d2 x = 28.75 \u00d7 17.5 / 40.25 = 2875 \u00d7 175 / 40250 = 2875 \u00d7 7 / 1610 = 2875 / 230 = 575 / 46 = 12.5 answer : option a" + }, + { + "Answer": 12, + "Options": "a ) 5 , b ) 6 , c ) 8 , d ) 10 , e ) 12", + "Correct": "e", + "Explanation": "i approached this one by plugging in numbers . . . started with c . if 40 are made in 8 hours , then 20 are made in 4 hours . so time of z is 4 , and time of b is 2 . rate together : 20 / 4 + 20 / 2 = 5 + 10 = 15 . so in 1 hour , together make 15 widgets . in 3 hours = 45 . way too much . we can eliminate right away c , b , and a - because b and a reduces the time - the total # of widgets made will be even higher . now between d and e - > try only one . . if it does n ' t work , then the other one is the answer . i picked e : 12 h to make 40 widgets , and 6 hours to make 20 . this is the time of z . time of b = 4 hours . 20 / 6 + 20 / 4 = 10 / 3 + 20 / 4 find lcm of 3 and 4 = 12 . multiply first by 4 , and second by 3 : 40 + 60 / 12 = 100 / 12 divide by 4 : 25 / 3 so this is the rate given . e is the correct answer" + }, + { + "Answer": 189, + "Options": "a ) 189 , b ) 72 , c ) 144 , d ) 216 , e ) 400", + "Correct": "a", + "Explanation": "\"20 typists can type 42 letters , so 30 typists can type = 42 * 30 / 20 42 * 30 / 20 letters can be typed in 20 mins . in 60 mins typist can type = 42 * 30 * 60 / 20 * 20 = 189 a is the answer\"" + }, + { + "Answer": 0.6428571428571429, + "Options": "a ) 1 / 2 , b ) 5 / 8 , c ) 9 / 14 , d ) 16 / 21 , e ) 9 / 10", + "Correct": "c", + "Explanation": "\"number of hours between 8 pm to 8 am = 12 number of hours with reduced rates = ( 12 * 5 ) + ( 24 * 2 ) hours with reduced rates q / total number of hours in a week = ( 12 * 5 ) + ( 24 * 2 ) / ( 24 * 7 ) = 108 / ( 24 * 7 ) = 9 / 14 answer : c\"" + }, + { + "Answer": 7.2, + "Options": "a ) 6.1 , b ) 7.2 , c ) 8.3 , d ) 9.4 , e ) 10.5", + "Correct": "b", + "Explanation": "\"the speed of the train relative to the man = 50 + 5 = 55 km / h . 55000 m / h * 1 h / 3600 s = ( 550 / 36 ) m / s ( 110 m ) / ( 550 / 36 m / s ) = ( 110 * 36 ) / 550 = 36 / 5 = 7.2 seconds the answer is b .\"" + }, + { + "Answer": 150, + "Options": "a ) 90 seconds , b ) 150 seconds , c ) 60 seconds , d ) 100 seconds , e ) 120 seconds", + "Correct": "b", + "Explanation": "2 / 3 filled in 100 seconds 1 / 3 filled in 50 secs then 2 / 3 + 1 / 3 = 100 + 50 seconds = 150 seconds answer : b" + }, + { + "Answer": 6.000000000000002, + "Options": "a ) 1 , b ) 6 , c ) 13 , d ) 14 , e ) 15", + "Correct": "b", + "Explanation": "\"let his speed for one half of the journey be 2 miles an hour let the other half be x miles an hour now , avg speed = 3 mile an hour 2 * 2 * x / 2 + x = 3 4 x = 3 x + 6 = > x = 6 b\"" + }, + { + "Answer": 8, + "Options": "a ) 2 , b ) 4 , c ) 8 , d ) 10 , e ) 12", + "Correct": "c", + "Explanation": "a + b 1 day work = 1 / 11 + 1 / 20 = 31 / 220 a + c 1 day work = 1 / 11 + 1 / 55 = 6 / 55 work done in 2 days = 31 / 220 + 6 / 55 = 55 / 220 = 1 / 4 1 / 4 work is done by a in 2 days whole work will be done in 2 * 4 = 8 days answer is c" + }, + { + "Answer": 15, + "Options": "a ) 15 , b ) 20 , c ) 30 , d ) 25 , e ) 18", + "Correct": "a", + "Explanation": "\"original number of men = 3 * 10 / ( 10 - 8 ) = 15 answer is a\"" + }, + { + "Answer": 260, + "Options": "a ) 338 m , b ) 778 m , c ) 200 m , d ) 260 m , e ) 971 m", + "Correct": "d", + "Explanation": "\"2 ( l + 190 ) = 900 = > l = 260 m answer : d\"" + }, + { + "Answer": 400, + "Options": "a ) 250 , b ) 300 , c ) 350 , d ) 400 , e ) 500", + "Correct": "d", + "Explanation": "\"nice problem . + 1 . first timetogetherthey run half of the circumference . second timetogetherthey run full circumference . first time brenda runs 100 meters , thus second time she runs 2 * 100 = 200 meters . since second time ( when they run full circumference ) brenda runs 200 meters and sally runs 200 meters , thus the circumference is 200 + 200 = 400 meters . answer : d .\"" + }, + { + "Answer": 250.00000000000003, + "Options": "a ) 250 meter , b ) 876 meter , c ) 167 meter , d ) 719 meter , e ) 169 meter", + "Correct": "a", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 15 = 250 meter answer : a\"" + }, + { + "Answer": 20, + "Options": "a ) 5 , b ) 9 , c ) 20 , d ) 30 , e ) 45", + "Correct": "c", + "Explanation": "\"relative distance = 40 miles relative speed = 4 + 4 = 8 miles per hour time taken = 40 / 8 = 5 hours distance travelled by sam = 4 * 5 = 20 miles = c\"" + }, + { + "Answer": 60, + "Options": "a ) 66 , b ) 53 , c ) 55 , d ) 60 , e ) 61", + "Correct": "d", + "Explanation": "\"25 * 96 = 40 * x x = 60 days answer : d\"" + }, + { + "Answer": 32, + "Options": "a ) 26 km , b ) 32 km , c ) 30 km , d ) 28 km , e ) none", + "Correct": "b", + "Explanation": "total time = 7 hrs let the distance travelled by foot @ 8 kmph be x kms ? distance travlled by bicycle @ 16 kmph be ( 80 - x ) kms atq . 7 hr = x / 8 + ( 80 - x ) / 16 ? 7 = ( 2 x + 80 - x ) / 16 ? x = 32 kms answer : b ." + }, + { + "Answer": 75.006, + "Options": "a ) 75 , b ) 25 , c ) 26 , d ) 23 , e ) 22", + "Correct": "a", + "Explanation": "speed of the train = 54 km / hr = ( 54 \u00d7 10 ) / 36 m / s = 15 m / s length of the train = speed \u00d7 time taken to cross the man = 15 \u00d7 20 = 300 m let the length of the platform = l time taken to cross the platform = ( 300 + l ) / 15 = > ( 300 + l ) / 15 = 20 = > 300 + l = 15 \u00d7 25 = 375 = > l = 375 - 300 = 75 meter answer is a ." + }, + { + "Answer": 5040.000000000001, + "Options": "a ) 5729 , b ) 5040 , c ) 2889 , d ) 2870 , e ) 2799", + "Correct": "b", + "Explanation": "\"1 / x - 1 / 6 = - 1 / 8 x = 24 hrs 24 * 60 * 3.5 = 5040 . answer : b\"" + }, + { + "Answer": 0.5, + "Options": "a ) 1 / 2 , b ) 1 / 6 , c ) 1 / 7 , d ) 1 / 8 , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : please note in this question , we need to answer part of work for a day rather than complete work . it was worth mentioning here because many do mistake at this point in hurry to solve the question so lets solve now , a ' s 1 day work = 1 / 6 b ' s 1 day work = 1 / 3 [ because b take half the time than a ] ( a + b ) ' s one day work = ( 1 / 6 + 1 / 3 ) = 1 / 2 so in one day 1 / 2 work will be done answer : a\"" + }, + { + "Answer": 24, + "Options": "a ) 16 , b ) 18 , c ) 20 , d ) 22 , e ) 24", + "Correct": "e", + "Explanation": "\"let t be the total time of the trip . 35 * 4 + 53 ( t - 4 ) = 50 t 3 t = 212 - 140 t = 24 the answer is e .\"" + }, + { + "Answer": 9, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "d", + "Explanation": "\"the number of hours required to complete the work is 8 * 9 * 24 = 1728 12 \u00d7 16 \u00d7 ( x ) = 1728 x = 9 the answer is d .\"" + }, + { + "Answer": 8, + "Options": "a ) 8 kmph , b ) 6 kmph , c ) 7 kmph , d ) 5 kmph , e ) 4 kmph", + "Correct": "a", + "Explanation": "\"x = the speed of the stream ( 24 + x ) / ( 24 - x ) = 2 / 1 24 + x = 48 - 2 x 3 x = 24 x = 8 km / hour if the speed of the stream is 8 km / hour , then the ' downstream ' speed of the boat is 24 + 8 = 32 km / hour and the ' upstream ' speed of the boat is 24 - 8 = 16 km / hour . in that way , if the boat traveled for 2 hours , it would travel 2 x 32 = 64 km downstream and 2 x 16 = 32 km / hour upstream . answer : a\"" + }, + { + "Answer": 10, + "Options": "a ) 10 hrs , b ) 15 hrs , c ) 20 hrs , d ) 25 hrs , e ) 18 hrs", + "Correct": "a", + "Explanation": "\"1 hour he ride 50 km he ride 500 km in = 500 / 50 * 1 = 10 hours answer is a\"" + }, + { + "Answer": 2160, + "Options": "a ) 7580 , b ) 7960 , c ) 8290 , d ) 2160 , e ) none", + "Correct": "d", + "Explanation": "solution work done by the inlet in 1 hour = ( 1 / 4 - 1 / 12 ) = 1 / 6 . work done by the inlet in 1 min . = ( 1 / 6 \u00d7 1 / 60 ) = 0.002778 volume of 0.002778 part = 6 litres . therefore , volume of whole = ( . 002778 \u00d7 6 ) \u2039 = \u203a 2160 litres . answer d" + }, + { + "Answer": 28, + "Options": "a ) 38 metre , b ) 28 metre , c ) 23 metre , d ) 15 metre , e ) 28 metre", + "Correct": "b", + "Explanation": "\"clearly , a beats b by 4 seconds now find out how much b will run in these 4 seconds speed of b = distance / time taken by b = 224 / 32 = 28 / 4 = 7 m / sdistance covered by b in 4 seconds = speed \u00d7 time = 7 \u00d7 4 = 28 metre i . e . , a beat b by 28 metre answer is b\"" + }, + { + "Answer": 0.06666666666666665, + "Options": "a ) 8 / 17 , b ) 7 / 15 , c ) 3 / 15 , d ) 8 / 15 , e ) 1 / 15", + "Correct": "e", + "Explanation": "\"person ( a ) ( b ) ( a + b ) time - ( 15 ) ( 20 ) ( - ) rate - ( 20 ) ( 15 ) ( 35 ) work - ( 300 ) ( 300 ) ( 300 ) therefore a + b requires ( 300 / 35 ) days to complete entire work for 1 st 4 days they work 35 * 8 = 280 remaining work is 300 - 280 = 20 remaining fraction of work is = 20 / 300 = 1 / 15 answer e\"" + }, + { + "Answer": 360, + "Options": "a ) 240 km , b ) 120 km , c ) 360 km , d ) 180 km , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : velocity of the stream = 4 kmph speed of the boat in still water is 14 kmph speed downstream = ( 14 + 4 ) = 18 kmph speed upstream = ( 14 - 4 ) = 10 kmph let the distance between a and b be x km time taken to travel downstream from a to b + time taken to travel upstream from b to c ( mid of a and b ) = 38 hours \u21d2 x / 18 + ( x / 2 ) 10 = 38 \u21d2 x / 18 + x / 20 = 38 \u21d2 19 x / 180 = 38 \u21d2 x / 180 = 2 \u21d2 x = 360 i . e . , the distance between a and b = 360 km . answer : option c\"" + }, + { + "Answer": 45, + "Options": "a ) 30 , b ) 32 , c ) 45 , d ) data inadequate , e ) none of these", + "Correct": "c", + "Explanation": "\"capacity of the tank = 30 \u00e3 \u2014 13.5 = 405 litres when the capacity of each bucket = 9 litres , then the required no . of buckets = 405 \u00e2 \u0081 \u201e 9 = 45 answer c\"" + }, + { + "Answer": 332, + "Options": "a ) 300 , b ) 318 , c ) 322 , d ) 324 , e ) 332", + "Correct": "e", + "Explanation": "\"to cover 50 miles the man needs ( time ) = ( distance ) / ( rate ) = 50 / 10 = 5 hours = 300 minutes . he will also rest 4 times ( after 10 , 20 , 30 and 40 miles ) , so total resting time = 4 * 8 = 32 minutes . total time = 300 + 32 = 332 minutes . answer : e .\"" + }, + { + "Answer": 36, + "Options": "a ) 22 km , b ) 20 km , c ) 65 km , d ) 18 km , e ) 36 km", + "Correct": "e", + "Explanation": "distance = relative speed * time = ( 6 + 3 ) * 4 = 36 km [ they are travelling in the opposite direction , relative speed = sum of the speeds ] . answer : e" + }, + { + "Answer": 30, + "Options": "a ) 22 , b ) 30 , c ) 15 , d ) 18 , e ) 20", + "Correct": "b", + "Explanation": "\"30 workers working already let x be the total men required to finish the task in next 100 days 2 km done hence remaining is 8 km also , work has to be completed in next 100 days ( 150 - 50 = 100 ) we know that , proportion of men to distance is direct proportion and , proportion of men to days is inverse proportion hence , x = ( 30 * 8 * 50 ) / ( 2 * 100 ) thus , x = 60 thus , more men needed to finish the task = 60 - 30 = 30 answer : b\"" + }, + { + "Answer": 45, + "Options": "a ) 20 sec , b ) 15 sec , c ) 45 sec , d ) 50 sec , e ) 1 min", + "Correct": "c", + "Explanation": "\"they meet every 675 / 7 + 8 = 45 sec answer is c\"" + }, + { + "Answer": 30.000000000000007, + "Options": "a ) 76 days , b ) 30 days , c ) 98 days , d ) 31 days , e ) 22 days", + "Correct": "b", + "Explanation": "\"b = 1 / 12 \u2013 1 / 20 = 2 / 60 = 1 / 30 = > 30 days answer : b\"" + }, + { + "Answer": 17, + "Options": "a ) 16.0 , b ) 16.5 , c ) 17.0 , d ) 17.5 , e ) 18.0", + "Correct": "c", + "Explanation": "\"time 1 = 400 / 20 = 20 hours time 2 = 450 / 15 = 30 hours total time = 50 hours average speed = 850 / 50 = 17 km / hr the answer is c .\"" + }, + { + "Answer": 3.5999999999999996, + "Options": "a ) 1.5 , b ) 2 , c ) 2.4 , d ) 3 , e ) 3.6", + "Correct": "e", + "Explanation": "answer is 3.6 hours . sawyer does the complete house in 6 hours while nick does it in 9 hours . 1 / ( 1 / 6 + 1 / 9 ) = 3.6 answer is e" + }, + { + "Answer": 216, + "Options": "a ) 60 , b ) 72 , c ) 84 , d ) 90 , e ) 216", + "Correct": "e", + "Explanation": "e is the answer . . . . d = ts where d = distance , t = time and s = speed to travel half distance , ( 2 + 4 t ) = 9 t = = > t = 2 / 5 = = > 24 minutes to travel double distance , 2 ( 2 + 4 t ) = 9 t = = > 4 = = > 240 minutes difference , 216 minutes e" + }, + { + "Answer": 0.5333333333333333, + "Options": "a ) 8 / 15 , b ) 7 / 15 , c ) 1 / 15 , d ) 3 / 15 , e ) none of these", + "Correct": "a", + "Explanation": "explanation : p ' s 1 - day work = 1 / 15 q ' s 1 - day work = 1 / 20 work done by ( p + q ) in 1 day = 1 / 15 + 1 / 20 = 7 / 60 . work done by them in 4 days = ( 7 / 60 ) * 4 = 7 / 15 . work left = 1 - ( 7 / 15 ) = 8 / 15 . answer is a" + }, + { + "Answer": 24, + "Options": "a ) 82 , b ) 17 , c ) 12 , d ) 24 , e ) 18", + "Correct": "d", + "Explanation": "\"explanation : t = 20 / 50 * 60 = 24 answer : option d\"" + }, + { + "Answer": 270.03999999999996, + "Options": "a ) 230 , b ) 270 , c ) 260 , d ) 256 , e ) 298", + "Correct": "b", + "Explanation": "\"relative speed = 120 + 80 = 200 km / hr . = 200 * 5 / 18 = 500 / 9 m / sec . let the length of the other train be x m . then , ( x + 2340 ) / 9 = 500 / 9 = > x = 270 . answer : b\"" + }, + { + "Answer": 275, + "Options": "a ) 230 , b ) 240 , c ) 245 , d ) 250 , e ) 275", + "Correct": "e", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 100 + x ) / 30 = 25 / 2 = > 2 ( 100 + x ) = 750 = > x = 275 m . answer : option e\"" + }, + { + "Answer": 225, + "Options": "a ) 288 , b ) 225 , c ) 277 , d ) 272 , e ) 150", + "Correct": "b", + "Explanation": "\"speed = 90 * 5 / 18 = 25 m / sec length of the train = speed * time = 25 * 9 = 225 m answer : b\"" + }, + { + "Answer": 12, + "Options": "a ) 16 , b ) 17 , c ) 12 , d ) 16 , e ) 16", + "Correct": "c", + "Explanation": "\"t = 9 / 45 * 60 12 answer : c\"" + }, + { + "Answer": 600, + "Options": "a ) 250 , b ) 425 , c ) 675 , d ) 700 , e ) 600", + "Correct": "e", + "Explanation": "\"machine a can produce 100 * 30 / 20 = 150 copies and , machine b can produce 150 * 30 / 10 = 450 copies total producing 600 copies . e is the answer\"" + }, + { + "Answer": 4, + "Options": "a ) 8 gallons , b ) 4 gallons , c ) 6 gallons , d ) 5.5 gallons , e ) 10 gallons", + "Correct": "b", + "Explanation": "\"each 40 kilometers , 1 gallon is needed . we need to know how many 40 kilometers are there in 160 kilometers ? 160 / 40 = 4 * 1 gallon = 4 gallons correct answer b\"" + }, + { + "Answer": 210, + "Options": "a ) 84 , b ) 136 , c ) 172 , d ) 210 , e ) 478", + "Correct": "d", + "Explanation": "\"first round distance travelled ( say ) = d speed = 75 k / h time taken , t 2 = d / 75 hr second round distance traveled = d ( same distance ) speed = 105 k / h time taken , t 2 = d / 105 hr total time taken = 6 hrs therefore , 6 = d / 75 + d / 105 lcm of 75 and 105 = 525 6 = d / 75 + d / 105 = > 6 = 7 d / 525 + 5 d / 525 = > d = 525 / 2 km therefore , t 1 = d / 75 = > t 1 = 525 / ( 2 x 75 ) = > t 1 = ( 7 x 60 ) / 2 - - in minutes = > t 1 = 210 minutes . d\"" + }, + { + "Answer": 160, + "Options": "a ) 80 , b ) 100 , c ) 160 , d ) 240 , e ) 300", + "Correct": "c", + "Explanation": "\"since the population increases at the rate of 1 person every 15 seconds , it increases by 4 people every 60 seconds , that is , by 4 people every minute . thus , in 40 minutes the population increases by 40 x 4 = 160 people . answer . c .\"" + }, + { + "Answer": 10.999120070394369, + "Options": "a ) 11 sec , b ) 70 sec , c ) 21 sec , d ) 20 sec , e ) 19 sec", + "Correct": "a", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 100 + 120 = 220 m . the time required = d / s = 220 / 20 = 11 sec . answer : a\"" + }, + { + "Answer": 12.000000000000002, + "Options": "a ) 8 kmph , b ) 10 kmph , c ) 12 kmph , d ) 14 kmph , e ) 16 kmph", + "Correct": "c", + "Explanation": "\"let the distance travelled by x km . then , x - x = 2 10 15 3 x - 2 x = 60 x = 60 km . time taken to travel 60 km at 10 km / hr = 60 hrs = 6 hrs . 10 so , robert started 6 hours before 2 p . m . i . e . , at 8 a . m . required speed = 60 kmph . = 12 kmph . 5 c\"" + }, + { + "Answer": 7, + "Options": "a ) 11 , b ) 10 , c ) 9 , d ) 8 , e ) 7", + "Correct": "e", + "Explanation": "\"let sheila earn x dollars per hour so , on monday , wednesday and friday , she earns 8 x each and , on tuesday and thursday , she earns 6 x each in total , over the week she should earn , 3 ( 8 x ) + 2 ( 6 x ) = 36 x she earns $ 252 per week 36 x = 252 x = 7 correct option : e\"" + }, + { + "Answer": 88, + "Options": "a ) 88 m , b ) 60 m , c ) 80 m , d ) 65 m , e ) 75 m", + "Correct": "a", + "Explanation": "speed of a : speed of b = 4 : 1 means in a race of 4 m a gains 3 m . then in a race of 66 m he gains 66 * ( 4 / 3 ) i . e 88 m answer : a" + }, + { + "Answer": 13, + "Options": "a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", + "Correct": "b", + "Explanation": "\"36 / 3 = 12 the three numbers are 11 , 12 , and 13 . the answer is b .\"" + }, + { + "Answer": 48, + "Options": "a ) 48 , b ) 59 , c ) 60 , d ) 56 , e ) 50", + "Correct": "a", + "Explanation": "\"first 12 min = 60 * 12 / 60 = 12 km 2 nd 12 min = 70 * 12 / 60 = 14 km 3 rd 12 min = 80 * 12 / 60 = 16 km 4 th 12 min = 90 * 12 / 60 = 18 km total time 12.4 = 48 min a\"" + }, + { + "Answer": 4.001609997739084, + "Options": "['a ) 2', 'b ) 4', 'c ) 5', 'd ) 6', 'e ) 78']", + "Correct": "b", + "Explanation": "explanation : let the inner and outer radii be r and r meters then , \\ inline { \\ color { black } 2 \\ prod r } = 352 / 7 = > r = ( 352 / 7 ) * ( 7 / 22 ) * ( 1 / 2 ) = 8 m \\ inline { \\ color { black } 2 \\ prod r } = 528 / 7 = > r = ( 528 / 7 ) * ( 7 / 22 ) * ( 1 / 2 ) = 12 m width of the ring = r - r = 12 - 8 = 4 m answer : b ) 4" + }, + { + "Answer": 0.6428571428571429, + "Options": "a ) 1 / 2 , b ) 5 / 8 , c ) 9 / 14 , d ) 16 / 21 , e ) 9 / 10", + "Correct": "c", + "Explanation": "\"number of hours between 8 pm to 8 am = 12 number of hours with reduced rates = ( 12 * 5 ) + ( 24 * 2 ) hours with reduced rates w / total number of hours in a week = ( 12 * 5 ) + ( 24 * 2 ) / ( 24 * 7 ) = 108 / ( 24 * 7 ) = 9 / 14 answer : c\"" + }, + { + "Answer": 517, + "Options": "a ) 715 , b ) 825 , c ) 330 , d ) 582 , e ) 517", + "Correct": "e", + "Explanation": "first number * second number = lcm * hcf other number = 2310 * 47 / 210 = 11 * 47 = 517 answer : e" + }, + { + "Answer": 25, + "Options": "a ) 5 , b ) 9 , c ) 25 , d ) 30 , e ) 45", + "Correct": "c", + "Explanation": "relative distance = 35 miles relative speed = 2 + 5 = 7 miles per hour time taken = 35 / 7 = 5 hours distance travelled by sam = 5 * 5 = 25 miles = c" + }, + { + "Answer": 22.5, + "Options": "a ) 22.5 days , b ) 21.5 days , c ) 23.5 days , d ) 24.5 days , e ) 25.5 days", + "Correct": "a", + "Explanation": "if a finishes the job in x days b finishes it in 3 x days 3 x = x + 60 thus x = 30 in one hour 1 / t = 1 / 30 + 1 / 90 = 4 / 90 where t is the number of days they finish the job together . t = 90 / 4 = 22.5 days answer : a" + }, + { + "Answer": 703.125, + "Options": "a ) 520 , b ) 650.2 , c ) 685.5 , d ) 703.1 , e ) 712.2", + "Correct": "d", + "Explanation": "volume of the tank that needed to be filled = 10 x 10 x 5 x 0.9 = 450 volume of the urn that can be filled = 0.8 x 0.8 = 0.64 no . of urns of water needed to fill the tank = 450 / 0.64 = 703.1 answer : d" + }, + { + "Answer": 30, + "Options": "a ) 15 mins , b ) 20 mins , c ) 25 mins , d ) 30 mins , e ) 35 mins", + "Correct": "d", + "Explanation": "explanation : let the total time be x mins . part filled in first half means in x / 2 = 1 / 40 part filled in second half means in x / 2 = 1 / 60 + 1 / 40 = 1 / 24 total = x / 2 x 1 / 40 + x / 2 x 1 / 24 = 1 x = 30 mins answer is d" + }, + { + "Answer": 64.8, + "Options": "a ) 66.8 kmph , b ) 65.8 kmph , c ) 54.8 kmph , d ) 64.8 kmph , e ) 44.8 kmph", + "Correct": "d", + "Explanation": "\"in 5 s the train crosses the pole and in 25 sec the train crosses one more stationary train in 20 sec the train travels a distance of 360 mtrs speed = 360 / 20 = 18 m / s = 18 ( 3600 / 1000 ) = 18 * 18 / 5 = 64.8 kmph answer : d\"" + }, + { + "Answer": 15, + "Options": "a ) 18 days , b ) 27 days , c ) 26.67 days , d ) 16 days , e ) 15 days", + "Correct": "e", + "Explanation": "\"let x = the number of days taken to complete the project . the amount of work done by a is ( x - 10 ) * ( 1 / 20 ) . the amount of work done by b is ( x ) * ( 1 / 30 ) . ( 1 / 20 ) * ( x - 10 ) + ( 1 / 20 ) * ( x ) = 1 ( x / 20 ) + ( x / 20 ) - ( 10 / 20 ) = 1 x / 10 = 3 / 2 x = 15 therefore , the answer is e : 15 .\"" + }, + { + "Answer": 66.99424046076315, + "Options": "a ) 67 kmph , b ) 50 kmph , c ) 55 kmph , d ) 60 kmph , e ) 70 kmph", + "Correct": "a", + "Explanation": "\"explanation : let the speed of the train be x kmph . speed of the train relative to man = ( x + 5 ) kmph = ( x + 5 ) \u00d7 5 / 18 m / sec . therefore 120 / ( ( x + 5 ) \u00d7 5 / 18 ) = 6 < = > 30 ( x + 5 ) = 2160 < = > x = 67 speed of the train is 67 kmph . answer : option a\"" + }, + { + "Answer": 54, + "Options": "a ) 54 kmph , b ) 108 kmph , c ) 176 kmph , d ) 134 kmph , e ) 161 kmph", + "Correct": "a", + "Explanation": "\"s = 180 / 12 * 18 / 5 = 54 kmph answer : a\"" + }, + { + "Answer": 8, + "Options": "a ) 4 hrs , b ) 6 hrs , c ) 8 hrs , d ) 10 hrs , e ) 16 hrs", + "Correct": "c", + "Explanation": "machine a will do 6 / 8 in 6 hrs , so a does 3 / 4 of the work . . therefore , b will do the remaining 1 / 4 th work alone . . as the speed of b is 1 / 4 rate of a , b will do the 1 / 4 th work in same time that a takes to complete full job . . . ans 8 c" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "a", + "Explanation": "( 6 x 8 x 5 ) / 75 = ( ax 4 x 8 ) / 30 a = 3 answer : a" + }, + { + "Answer": 120, + "Options": "a ) 2387 , b ) 267 , c ) 120 , d ) 277 , e ) 271", + "Correct": "c", + "Explanation": "\"let speed of the car be x km / hr . then , speed of the train = 150 / 100 x = 3 / 2 x km / hr . 75 / x - 75 / ( 3 / 2 x ) = 125 / ( 10 * 60 ) 75 / x - 50 / x = 5 / 24 = 120 km / hr . answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 20 mph , b ) 24 mph , c ) 30 mph , d ) 40 mph , e ) 42 mph", + "Correct": "d", + "Explanation": "\"avg speed = total distance / total time = ( d 1 + d 2 ) / ( t 1 + t 2 ) = ( 12 + 48 ) / ( ( 12 / 24 ) + ( 48 / 48 ) ) = 60 * 2 / 3 = 40 mph d\"" + }, + { + "Answer": 151.36, + "Options": "a ) 151.36 mtrs , b ) 378.4 mtrs , c ) 478.4 mtrs , d ) 488.4 mtrs , e ) 578.4 mtrs", + "Correct": "a", + "Explanation": "\"if 20 men can build a wall 66 metres long in 15 days , length of a similar wall that can be built by 86 men in 8 days = ( 66 * 86 * 8 ) / ( 15 * 20 ) = 151.36 mtrs answer : a\"" + }, + { + "Answer": 41.42857142857143, + "Options": "a ) 41.4 , b ) 34.1 , c ) 13.4 , d ) 12.4 , e ) 10.8", + "Correct": "a", + "Explanation": "\"break down the problem into two pieces : typing and editing . mary needs 30 hours to type the report - - > mary ' s typing rate = 1 / 30 ( rate reciprocal of time ) ( point 1 in theory below ) ; mary and jim can type up a report in 12.5 and - - > 1 / 30 + 1 / x = 1 / 12.5 = 2 / 25 ( where x is the time needed for jim to type the report alone ) ( point 23 in theory below ) - - > x = 150 / 7 ; jim needs 12 hours to edit the report - - > jim ' s editing rate = 1 / 12 ; mary and jim can edit a report in 7.5 and - - > 1 / y + 1 / 12 = 1 / 7.5 = 2 / 15 ( where y is the time needed for mary to edit the report alone ) - - > y = 20 ; how many r hours will it take if jim types the report and mary edits it immediately after he is done - - > x + y = 150 / 7 + 20 = ~ 41.4 answer : a .\"" + }, + { + "Answer": 39, + "Options": "a ) 28 days , b ) 30 days , c ) 33 days , d ) 35 days , e ) 39 days", + "Correct": "e", + "Explanation": "\"amit \u2019 s one day \u2019 s work = 1 / 15 amit \u2019 s 3 day \u2019 s work = 1 / 15 * 3 = 1 / 5 work left = 1 - 1 / 5 = 4 / 5 ananthu \u2019 s one day \u2019 s work = 1 / 45 ananthu can do work in = 4 / 5 * 45 = 36 days so total days = 36 + 3 = 39 days answer : e\"" + }, + { + "Answer": 20, + "Options": "a ) 18 , b ) 20 , c ) 22 , d ) 24 , e ) 26", + "Correct": "b", + "Explanation": "\"explanation : x - - - - - - - 9 ( x + 10 ) - - - - 6 x * 9 = ( x + 10 ) 6 x = 20 answer : b\"" + }, + { + "Answer": 482.5323296660876, + "Options": "a ) 246 , b ) 448 , c ) 1408 , d ) 482 , e ) 223", + "Correct": "d", + "Explanation": "\"1 revolution = 3.14 * diameter . number of revolutions in 1 km = 1000 m / ( 3.14 * 0.66 m ) = 482.5 . hence 482 complete revolutions . answer d\"" + }, + { + "Answer": 95, + "Options": "a ) 26 , b ) 95 , c ) 90 , d ) 42 , e ) 22", + "Correct": "b", + "Explanation": "\"sp of 1 m of cloth = 8925 / 85 = rs . 105 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 105 - rs . 10 = rs . 95 answer : b\"" + }, + { + "Answer": 28.000000000000014, + "Options": "a ) 11 , b ) 12 , c ) 29 , d ) 28 , e ) 29", + "Correct": "d", + "Explanation": "2 / 7 - 1 / x = 1 / 4 x = 28 answer : d" + }, + { + "Answer": 490, + "Options": "a ) 405 , b ) 420 , c ) 440 , d ) 447 , e ) 490", + "Correct": "e", + "Explanation": "\"car y began travelling after 72 minutes or 1.2 hours . let t be the time for which car y travelled before it stopped . both cars stop when they have travelled the same distance . so , 35 ( t + 1.2 ) = 38 t t = 14 distance traveled by car x from the time car y began traveling until both cars stopped is 35 x 14 = 490 miles answer : - e\"" + }, + { + "Answer": 72, + "Options": "a ) 90 min , b ) 100 min , c ) 72 min , d ) 75 min , e ) 130 min", + "Correct": "c", + "Explanation": "\"1 / 40 - ( 1 / 45 + 1 / 60 ) = - 1 / 72 third pipe can empty in 72 minutes answer : c\"" + }, + { + "Answer": 50, + "Options": "a ) 60 , b ) 50 , c ) 40 , d ) 70 , e ) 65", + "Correct": "b", + "Explanation": "\"time = 6 distance = 450 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 450 / 9 = 50 kmph answer b .\"" + }, + { + "Answer": 4, + "Options": "a ) 4 hours , b ) 2 hours , c ) 3 hours , d ) 6 hours , e ) 5 hours", + "Correct": "a", + "Explanation": "time = distance / speed total distance = ( from a - > b and from b - > a ) = 120 + 120 = 240 km speed = 60 kmh 240 / 60 = 4 answer : a" + }, + { + "Answer": 40, + "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 40 % , e ) 72 %", + "Correct": "d", + "Explanation": "answer : d 144 \u00b0 divided by 360 \u00b0 equals 0.4 , therefore the sector is equal to 40 % of the total" + }, + { + "Answer": 0.05555555555555555, + "Options": "a ) 1 / 3 , b ) 1 / 18 , c ) 1 / 10 , d ) 2 , e ) 30", + "Correct": "b", + "Explanation": "\"pete covered 1.5 * 60 = 90 miles which correspond to 5 inches on the map - - > scale in inches per mile is 5 / 90 = 1 / 18 . answer : b .\"" + }, + { + "Answer": 18, + "Options": "a ) 12 , b ) 14 , c ) 15 , d ) 16 , e ) 18", + "Correct": "e", + "Explanation": "\"losing 15 liters per day results in a loss of 300 liters in 20 days . so , those 300 liters were for 10 days , making daily consumption of the village 30 liters per day . thus the capacity of the tank is 30 * 30 = 900 liters . losing 20 liters plus 30 liters gives 50 liters per day . at this rate the supply will last 900 / 50 = 18 days . the answer is e .\"" + }, + { + "Answer": 22, + "Options": "a ) 12 , b ) 20 , c ) 21 , d ) 23 , e ) 22", + "Correct": "e", + "Explanation": "\"sol . in 12 hours , the hands coincide or are in opposite direction 11 times . \u00e2 \u02c6 \u00b4 in 24 hours , the hands coincide or are in opposite direction 22 times a day . ( between 5 and 7 they point in opposite directions at 6 o ' clock only ) answer e\"" + }, + { + "Answer": 69.9940004799616, + "Options": "a ) 65 kmph , b ) 70 kmph , c ) 75 kmph , d ) 80 kmph , e ) 85 kmph", + "Correct": "b", + "Explanation": "\"let the speed of the train be x kmph speed of the train relative to man = x + 5 = ( x + 5 ) * 5 / 18 m / sec 125 / [ ( x + 5 ) * 5 / 18 ] = 6 30 ( x + 5 ) = 2250 x = 70 kmph answer is b\"" + }, + { + "Answer": 1300, + "Options": "a ) 1977 , b ) 1893 , c ) 1979 , d ) 1900 , e ) 1300", + "Correct": "e", + "Explanation": "\"2000 - - - - 54 2000 - - - - 33 x - - - - - 20 x * 20 = 2000 * 33 x = 3300 2000 - - - - - - - 1300 answer : e\"" + }, + { + "Answer": 550.044, + "Options": "a ) 550 m , b ) 500 m , c ) 375 m , d ) 420 m , e ) 440 m", + "Correct": "a", + "Explanation": "\"the distance traveled in 30 sec = 66 * ( 5 / 18 ) * 30 = 550 m answer : a\"" + }, + { + "Answer": 18, + "Options": "a ) 22 , b ) 88 , c ) 90 , d ) 18 , e ) 24", + "Correct": "d", + "Explanation": "\"5 * 18 / 5 = 18 kmph answer : d\"" + }, + { + "Answer": 3, + "Options": "a ) 1 hr , b ) 2 hrs , c ) 3 hrs , d ) 4 hrs , e ) 5 hrs", + "Correct": "c", + "Explanation": "\"speed downstream = ( 25 + 5 ) km / hr = 30 km / hr . time taken to travel 90 km downstream = 90 / 30 hrs = 3 hrs . answer : c\"" + }, + { + "Answer": 16, + "Options": "a ) 10 , b ) 15 , c ) 16 , d ) 25 , e ) 30", + "Correct": "c", + "Explanation": "\"12 * 8 = 6 * x x = 16 answer : c\"" + }, + { + "Answer": 0.07692307692307693, + "Options": "a ) 1 / 4 , b ) 1 / 5 , c ) 1 / 6 , d ) 1 / 7 , e ) 1 / 13", + "Correct": "e", + "Explanation": "these problems can be solved through algebra or sly number picking . being a big fan of solving problems with numbers , let ' s pick a total distance divisible by 4 ( say 40 ) so we can break it up into quarters , and a speed that can easily be one fourth , say 10 . each quarter is thus 10 kilometers ( or miles or feet or angstroms for all it matters ) , and the runner ' s speed is 10 km / h for the first quarter and 5 / 2 km / h for the remaining quarters . he ' ll take 1 hour to do the first quarter and then 4 hours for the second quarter , 4 hours for the third and 4 hours for the fourth . on total he will take 13 hours to complete this race , of which 1 hour was spent on the first quarter . so 1 / 13 . answer e ." + }, + { + "Answer": 30, + "Options": "a ) 15 mins , b ) 20 mins , c ) 25 mins , d ) 30 mins , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : let the total time be x mins . part filled in first half means in x / 2 = 1 / 40 part filled in second half means in x / 2 = 1 / 60 + 1 / 40 = 1 / 24 total = x / 2 \u2217 1 / 40 + x / 2 \u2217 1 / 24 = 1 = > x / 2 ( 1 / 40 + 1 / 24 ) = 1 = > x / 2 \u2217 1 / 15 = 1 = > x = 30 mins option d\"" + }, + { + "Answer": 35.199999999999996, + "Options": "a ) 35.2 m 2 , b ) 44 m 2 , c ) 48 m 2 , d ) 36 m 2 , e ) none of these", + "Correct": "a", + "Explanation": "\"required area covered in 5 revolutions = 4 \u00e3 \u2014 2 \u00ef \u20ac rh = 4 \u00e3 \u2014 2 \u00e3 \u2014 22 \u00e2 \u0081 \u201e 7 \u00e3 \u2014 0.7 \u00e3 \u2014 2 = 35.2 m 2 answer a\"" + }, + { + "Answer": 100, + "Options": "a ) 100 m , b ) 180 m , c ) 159 m , d ) 250 m , e ) 152 m", + "Correct": "a", + "Explanation": "\"length of the train be \u2018 x \u2019 x + 350 / 15 = x + 500 / 20 4 x + 1400 = 3 x + 1500 x = 100 m answer : a\"" + }, + { + "Answer": 245.02999999999997, + "Options": "a ) 270 m , b ) 245 m , c ) 235 m , d ) 220 m , e ) 240 m", + "Correct": "b", + "Explanation": "explanation : assume the length of the bridge = x meter total distance covered = 130 + x meter total time taken = 30 s speed = total distance covered / total time taken = ( 130 + x ) / 30 m / s = > 45 \u00d7 ( 10 / 36 ) = ( 130 + x ) / 30 = > 45 \u00d7 10 \u00d7 30 / 36 = 130 + x = > 45 \u00d7 10 \u00d7 10 / 12 = 130 + x = > 15 \u00d7 10 \u00d7 10 / 4 = 130 + x = > 15 \u00d7 25 = 130 + x = 375 = > x = 375 - 130 = 245 answer : option b" + }, + { + "Answer": 600, + "Options": "a ) 671.5 , b ) 600 , c ) 672.5 , d ) 673 , e ) 773.5", + "Correct": "b", + "Explanation": "\"many approaches are possible , one of them : let the distance be 1 kilometer . time to cover this distance at 900 kilometers per hour is 1 / 900 hours = 3,600 / 900 seconds = 4 seconds ; time to cover this distance at regular speed is 900 + 2 = 902 seconds = 902 / 3,600 hours = 1 / 600 hours ; so , we get that to cover 1 kilometer 1 / 600 hours is needed - - > regular speed 600 kilometers per hour ( rate is a reciprocal of time or rate = distance / time ) . answer : b .\"" + }, + { + "Answer": 49, + "Options": "a ) 5 , b ) 7 , c ) 49 , d ) 20 , e ) 25", + "Correct": "c", + "Explanation": "\"the prompt is essentially asking for the maximum number of 3 x 3 squares that can be cut from a larger 21 by 21 square . since each ' row ' and each ' column ' of the larger square can be sub - divided into 7 ' pieces ' each , we have ( 7 ) ( 7 ) = 49 total smaller squares ( at maximum ) . c\"" + }, + { + "Answer": 64, + "Options": "a ) 48 , b ) 60 , c ) 56 , d ) 64 , e ) 68", + "Correct": "d", + "Explanation": "by the formula , speed = distance / time = ( 240 + 240 ) / 27 x ( 18 / 5 ) = 480 / 27 x 18 / 5 = 64 km / h answer : d" + }, + { + "Answer": 11.25, + "Options": "a ) 9.25 , b ) 5.25 , c ) 7.25 , d ) 6.25 , e ) 11.25", + "Correct": "e", + "Explanation": "\"explanation : speed downstream = ( 20 + 5 ) kmph = 25 kmph distance travelled = ( 25 * ( 27 / 60 ) ) km = 11.25 km . answer : e\"" + }, + { + "Answer": 9000, + "Options": "a ) 724 , b ) 804 , c ) 814 , d ) 9000 , e ) none", + "Correct": "d", + "Explanation": "solution length of largest tile = h . c . f . of 5000 cm & 1125 cm = 25 cm . area of each tile = ( 25 x 25 ) cm 2 \u2234 required number of tiles = [ 5000 x 1125 / 25 x 25 ] = 9000 . answer d" + }, + { + "Answer": 119.99999999999999, + "Options": "a ) 36 , b ) 72 , c ) 120 , d ) 144 , e ) 180", + "Correct": "c", + "Explanation": "\"old machine 100 bolts in 60 mins so , 5 / 3 bolts in 1 min new machine 150 bolts in 60 mins so , 5 / 2 bolts in 1 min together , 5 / 3 + 5 / 2 = 25 / 6 bolts in 1 min so , for 500 bolts 500 * 6 / 25 = 120 mins ans c\"" + }, + { + "Answer": 2.2222222222222223, + "Options": "a ) 2 days , b ) 3.5 days , c ) 2.2 days , d ) 4 days , e ) 5.7 days", + "Correct": "c", + "Explanation": "a , b , and c do the work in = 6 * 5 * 12 / 6 * 5 + 5 * 12 + 6 * 12 = 360 / 162 = 2.2 days answer is c" + }, + { + "Answer": 20000.000000000007, + "Options": "a ) 600 m , b ) 6000 m , c ) 20000 m , d ) 100 m , e ) 2000 m", + "Correct": "c", + "Explanation": "\"perimeter = distance covered in 6 min . = ( 6000 x 6 ) / 60 m = 600 m . let length = 1 x metres and breadth = 2 x metres . then , 2 ( 1 x + 2 x ) = 600 or x = 100 . length = 100 m and breadth = 200 m . area = ( 100 x 200 ) m 2 = 20000 m c\"" + }, + { + "Answer": 40, + "Options": "a ) 39 , b ) 40 , c ) 41 , d ) 42 , e ) 43", + "Correct": "b", + "Explanation": "\"48 * t = 1 km = > t = 1 / 48 km / h v * ( t + 15 / 3600 ) = 1 v ( 1 / 48 + 15 / 3600 ) = 1 v ( 90 / 3600 ) = 1 v = 40 km / h the answer is b .\"" + }, + { + "Answer": 1.9998400127989762, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "b", + "Explanation": "\"speed of the boat downstream = 300 + 42 = 342 kmph = 342 * 5 / 18 = 95 m / s hence time taken to cover 190 m = 190 / 95 = 2 seconds . answer : b\"" + }, + { + "Answer": 33, + "Options": "a ) 86.6 km , b ) 46.6 km , c ) 33 km , d ) 35.6 km , e ) 26.6 km", + "Correct": "c", + "Explanation": "\"speed downstream = ( 42 + 3 ) = 45 kmph time = 44 minutes = 44 / 60 hour = 11 / 15 hour distance travelled = time \u00d7 speed = 11 / 15 \u00d7 45 = 33 km answer : c\"" + }, + { + "Answer": 885.5, + "Options": "a ) 9 km , b ) 72.5 km , c ) 190.75 km , d ) 885.5 km , e ) none of these", + "Correct": "d", + "Explanation": "solution let the actual distance be x km . then , more distance on the map , more is the actual distance ( direct proportion ) \u2234 0.6 : 80.5 : : 6.6 : x \u21d4 0.6 x = 80.5 \u00d7 6.6 \u21d4 x = \u21d4 x = 80.5 x 6.6 / 0.6 = x = 885.5 . answer d" + }, + { + "Answer": 6.000000000000002, + "Options": "a ) 5 , b ) 7 , c ) 8 , d ) 9 , e ) 6", + "Correct": "e", + "Explanation": "\"one way of approaching this question is by relative speed method 1 . speed / rate of donovan = distance / time = > 400 / 48 = > 50 / 6 2 . speed / rate of michael = distance / time = > 400 / 40 = > 10 relative speed between them = 10 - 50 / 6 = > 10 / 6 ( we subtract the rates if moving in the same direction and add the rates if moving in the opposite direction ) in order to pass donovan - distance to be covered = 400 , relative rate = 10 / 6 total time taken by micheal to surpass donovan = distance / rate = > 400 * 6 / 10 = > 2400 / 10 = > 240 no . of laps taken by michael = total time / michael ' s rate = > 240 / 40 = > 6 hence correct answer is 6 laps . e\"" + }, + { + "Answer": 49, + "Options": "a ) 66 m square , b ) 49 m square , c ) 77 m square , d ) 44 m square , e ) 33 m square", + "Correct": "b", + "Explanation": "\"area of the wet surface = 2 [ lb + bh + hl ] - lb = 2 [ bh + hl ] + lb = 2 [ ( 4 * 1.25 + 6 * 1.25 ) ] + 6 * 4 = 49 m square answer : b\"" + }, + { + "Answer": 6, + "Options": "a ) 8 days , b ) 2 days , c ) 6 days , d ) 7 days , e ) 4 days", + "Correct": "c", + "Explanation": "\"c = 1 / 2 - 1 / 6 - 1 / 6 = 1 / 6 = > 6 days answer : c\"" + }, + { + "Answer": 6, + "Options": "a ) 1 , b ) 7 , c ) 8 , d ) 9 , e ) 6", + "Correct": "e", + "Explanation": "\"c = 1 / 4 - 1 / 36 \u2013 1 / 18 = 1 / 6 = > 6 days ' answer : e\"" + }, + { + "Answer": 700, + "Options": "a ) 700 , b ) 800 , c ) 900 , d ) 1000 , e ) 1100", + "Correct": "a", + "Explanation": "let the speeds of a & b be u and v resp . and let circumference be c . let their first meeting be after time t then ut + vt = c and ut = 500 \u2234 vt = c \u2212 500 and u / v = 500 / ( c \u2212 500 ) for their second meeting after time t , ut + vt = 2 c and vt = 400 \u2234 ut = 2 c \u2212 400 and u / v = ( 2 c \u2212 400 ) / 400 hence 500 / ( c \u2212 500 ) = ( 2 c \u2212 400 ) / 400 simplifying , 100000 = ( c \u2212 200 ) ( c \u2212 500 ) = c \u00b2 \u2212 700 c + 100000 \u2192 c = 700 answer : a" + }, + { + "Answer": 56.00000000000001, + "Options": "a ) 56 % , b ) 80 % , c ) 100 % , d ) 120 % , e ) 125 %", + "Correct": "a", + "Explanation": "\"for a , r = 8 / 2 pi . its capacity = ( 4 pi ) ^ 2 * 7 = 112 pi for b , r = 10 / pi . its capacity = ( 5 pi ) ^ 2 * 8 = 200 pi a / b = 112 pi / 200 pi = 0.56 a\"" + }, + { + "Answer": 33, + "Options": "a ) 4 , b ) 9 , c ) 15 , d ) 48 , e ) 33", + "Correct": "e", + "Explanation": "given : z = s ^ 2 + 2 s for 0 \u2264 s \u2264 7 z ( 3 ) = 3 ^ 2 + 2 * 3 = 15 z ( 6 ) = 6 ^ 2 + 2 * 6 = 48 therefore z ( 7 ) - z ( 3 ) = 48 - 15 = 33 km / hr option e" + }, + { + "Answer": 10, + "Options": "a ) 8 , b ) 10 , c ) 15 , d ) 17 , e ) 21", + "Correct": "b", + "Explanation": "30 * 25 = 750 425 - - - - - - - - - - - 325 25 + 7.50 = 32.5 325 / 32.5 = b" + }, + { + "Answer": 600, + "Options": "a ) 1800 men , b ) 3900 men , c ) 600 men , d ) 3800 men , e ) 900 men", + "Correct": "c", + "Explanation": "\"2000 - - - - 54 2000 - - - - 39 x - - - - - 20 x * 30 = 2000 * 39 x = 2600 2000 - - - - - - - 600 answer : c\"" + }, + { + "Answer": 7, + "Options": "a ) 10 , b ) 6 , c ) 4 , d ) 7 , e ) 5", + "Correct": "d", + "Explanation": "\"required number of machines = 28 * 10 / 40 = 7 answer is d\"" + }, + { + "Answer": 35.99712023038157, + "Options": "a ) 18 seconds , b ) 26 seconds , c ) 36 seconds , d ) 16 seconds , e ) 46 seconds", + "Correct": "c", + "Explanation": "total distance ( d ) = 240 + 120 = 360 meter relative speed ( s ) = 45 - 9 = 36 kmph = 36 * 5 / 18 = 10 mps d = s * t 360 = 10 * t t = 36 seconds answer : c" + }, + { + "Answer": 336, + "Options": "a ) 336 km . , b ) 216 km . , c ) 314 km . , d ) 224 km . , e ) 544 km .", + "Correct": "a", + "Explanation": "\"0.5 x / 21 + 0.5 x / 24 = 15 - - > x / 21 + x / 24 = 30 - - > x = 336 km . a\"" + }, + { + "Answer": 24, + "Options": "a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28", + "Correct": "a", + "Explanation": "distance = distance either student reaches school before time or after time 9 ( t + 20 / 60 ) = 12 ( t - 20 / 60 ) i . e 9 ( t + 1 / 3 ) = 12 ( t - 1 / 3 ) 9 ( 3 t + 1 ) = 12 ( 3 t - 1 ) t = 7 / 3 put t value in any of distance equation put t = 7 / 3 in 9 ( t + 1 / 3 ) we get 24 km answer : a" + }, + { + "Answer": 24, + "Options": "a ) 15 seconds , b ) 18 seconds , c ) 24 seconds , d ) 30 seconds , e ) 45 seconds", + "Correct": "c", + "Explanation": "\"used pluging in method say t is the time for cristina to catch up with nicky , the equation will be as under : for nicky = n = 3 * t + 48 for cristina = c = 5 * t @ t = 24 , n = 120 c = 120 right answer ans : c\"" + }, + { + "Answer": 120, + "Options": "a ) 100 km , b ) 150 km , c ) 50 km , d ) 120 km , e ) 200 km", + "Correct": "d", + "Explanation": "suppose after x km from the start b catches up with a . then , the difference in the time taken by a to cover x km and that taken by b to cover x km is 6 hours . x / 10 - x / 20 = 6 x = 120 km answer is d" + }, + { + "Answer": 45, + "Options": "a ) 27 , b ) 29 , c ) 30 , d ) 20 , e ) 45", + "Correct": "e", + "Explanation": "\"us = 30 ds = 60 m = ( 30 + 60 ) / 2 = 45 answer : e\"" + }, + { + "Answer": 270, + "Options": "a ) a ) 150 m , b ) b ) 270 m , c ) c ) 180 m , d ) d ) 158 m , e ) e ) 350 m", + "Correct": "b", + "Explanation": "\"length of the train be \u2018 x \u2019 x + 120 / 15 = x + 250 / 20 4 x + 480 = 3 x + 750 x = 270 m answer : b\"" + }, + { + "Answer": 2.9997600191984644, + "Options": "a ) 2.5 sec , b ) 3 sec , c ) 8.9 sec , d ) 6.9 sec , e ) 2.9 sec", + "Correct": "b", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 120 / 40 = 3 sec . answer : b\"" + }, + { + "Answer": 40, + "Options": "a ) 10 , b ) 40 , c ) 15 , d ) 18 , e ) 20", + "Correct": "b", + "Explanation": "\"work done by x in 8 days = 8 * 1 / 40 = 1 / 5 remaining work = 1 - 1 / 5 = 4 / 5 4 / 5 work is done by y in 32 days whole work will be done by y in 32 * 5 / 4 = 40 days answer is b\"" + }, + { + "Answer": 4.8, + "Options": "a ) 8.7 days , b ) 2.0 days , c ) 6.6 days , d ) 7.7 days , e ) 4.8 days", + "Correct": "e", + "Explanation": "\"c = 1 / 2 - 1 / 8 - 1 / 8 = 5 / 24 = > 4.8 days answer : e\"" + }, + { + "Answer": 29925, + "Options": "a ) 25650 , b ) 25750 , c ) 26550 , d ) 26750 , e ) 29925", + "Correct": "e", + "Explanation": "\"area = 7 \u00d7 4.75 sq . metre . cost for 1 sq . metre . = rs . 900 hence total cost = 7 \u00d7 4.75 \u00d7 900 = 7 \u00d7 4275 = rs . 29925 answer is e\"" + }, + { + "Answer": 11.999040076793857, + "Options": "a ) 7 sec , b ) 6 sec , c ) 8 sec , d ) 4 sec , e ) 12 sec", + "Correct": "e", + "Explanation": "\"speed of train relative to man = 27 + 6 = 33 km / hr . = 33 * 5 / 18 = 9.1667 m / sec . time taken to pass the men = 110 / 9.1667 = 12 sec . answer : e\"" + }, + { + "Answer": 11, + "Options": "a ) 10 days , b ) 11 days , c ) 13 days , d ) 21 days , e ) 31 days", + "Correct": "b", + "Explanation": "one day work of a , b and c = 1 / 24 + 1 / 30 + 1 / 60 = 11 / 120 work done by a and b together in the last 4 days = 4 * ( 1 / 24 + 1 / 30 ) = 3 / 10 remaining work = 7 / 10 the number of days required for this initial work = 7 days . the total number of days required = 4 + 7 = 11 days . answer : b" + }, + { + "Answer": 29.166666666666668, + "Options": "a ) 29.2 % , b ) 12.5 % , c ) 13 % , d ) 11.3 % , e ) none of these", + "Correct": "a", + "Explanation": "explanation : solution : required percentage = ( 7 / 100 * 24 ) = 29.2 % answer : a" + }, + { + "Answer": 6.857142857142857, + "Options": "a ) 6.8 , b ) 7.1 , c ) 7.2 , d ) 7.5 , e ) 8.0", + "Correct": "a", + "Explanation": "\"pick a number which is lcm of 8 and 6 = 24 . upstream time = 24 / 6 = 4 hrs downstream time = 24 / 8 = 3 hrs total time = 7 hrs total distance = 48 average speed = 48 / 7 = 6.8 km / hr\"" + }, + { + "Answer": 40, + "Options": "a ) 32 kmph , b ) 34 kmph , c ) 40 kmph , d ) 45 kmph , e ) 65 kmph", + "Correct": "c", + "Explanation": "\"us = 35 ds = 45 m = ( 35 + 45 ) / 2 = 40 answer : c\"" + }, + { + "Answer": 280.03999999999996, + "Options": "a ) 230 m , b ) 240 m , c ) 250 m , d ) 260 m , e ) 280 m", + "Correct": "e", + "Explanation": "speed = ( 120 + 80 ) km / h ( because direction is opposite hence relative velocity is added ) = 500 / 9 m / s time = 9 sec let the lenght of second train is x total distance covered = 220 + x therefore , d = speed * time thus 220 + x = 500 / 9 * 9 x = 500 - 220 = 280 m answer : e" + }, + { + "Answer": 120, + "Options": "a ) 100 , b ) 110 , c ) 120 , d ) 130 , e ) none of these", + "Correct": "c", + "Explanation": "explanation : ( hrs / day 4 : 5 ) : ( money 21.25 : 76.50 ) : ( days 30 : 10 ) : : 80 : x 4 * 21.25 * 30 * x = 5 * 76.50 * 10 * 80 so x = 120 answer : c" + }, + { + "Answer": 400, + "Options": "a ) 220 km , b ) 224 km , c ) 230 km , d ) 400 km , e ) 234 km", + "Correct": "d", + "Explanation": "0.5 x / 20 + 0.5 x / 10 = 30 - - > x / 20 + x / 10 = 60 - - > 3 x = 20 x 60 - - > x = ( 60 x 20 ) / 3 = 400 km . answer : d" + }, + { + "Answer": 52, + "Options": "a ) 52 kmph , b ) 58 kmph , c ) 62 kmph , d ) 65 kmph , e ) 75 kmph", + "Correct": "a", + "Explanation": "\"relative speed = 280 / 9 m / sec = ( ( 280 / 9 ) * ( 18 / 5 ) ) kmph = 112 kmph . speed of goods train = ( 112 - 60 ) kmph = 52 kmph . answer : a\"" + }, + { + "Answer": 4.235294117647059, + "Options": "a ) 72 / 17 , b ) 17 / 72 , c ) 14 / 24 , d ) 24 / 56 , e ) 34 / 56", + "Correct": "a", + "Explanation": "the rate of the first machine is 1 / 9 job per hour ; the rate of the second machine is 1 / 8 job per hour ; thus , the combined rate of the machines is 1 / 9 + 1 / 8 = 17 / 72 job per hour , which means that it takes 1 / ( 17 / 72 ) = 72 / 17 hours both machines to do the job . answer : a ." + }, + { + "Answer": 10, + "Options": "a ) 10 : 00 , b ) 10 : 30 , c ) 11 : 00 , d ) 11 : 30 , e ) 12 : 00", + "Correct": "a", + "Explanation": "in one hour the first train travels 70 km . the second train catches the first train at a rate of 80 km / h - 70 km / h = 10 km / h . the second train will catch the first train in 70 / 10 = 7 hours , so at 10 : 00 pm . the answer is a ." + }, + { + "Answer": 3, + "Options": "a ) 3 m , b ) 5 m , c ) 6 m , d ) 7 m , e ) 8 m", + "Correct": "a", + "Explanation": "\"explanation : let width = x then , height = 6 x and length = 42 x 42 x \u00e3 \u2014 6 x \u00e3 \u2014 x = 6804 x = 3 answer : a\"" + }, + { + "Answer": 35.99114857512855, + "Options": "a ) 32.8 , b ) 36 , c ) 32.1 , d ) 32.2 , e ) 32.9", + "Correct": "b", + "Explanation": "\"radius = 7 cm then diameter = 14 cm 1 / 2 * 22 / 7 * 14 + 14 = 36 answer : b\"" + }, + { + "Answer": 13, + "Options": "a ) 11 hours , b ) 12 hours , c ) 13 hours , d ) 14 hours , e ) 18 hours", + "Correct": "c", + "Explanation": "a can copy 50 papers in 10 hrs , while a & b can copy 70 papers in 10 hrs . it means b can copy 20 papers in 10 hrs . then time taken by b to copy 26 papers = 26 * 10 / 20 = 13 hours answer : c" + }, + { + "Answer": 15, + "Options": "a ) 99 , b ) 18 , c ) 26 , d ) 15 , e ) 12", + "Correct": "d", + "Explanation": "\"15 * 6 = 3 * 2 * x = > x = 15 answer : d\"" + }, + { + "Answer": 25.2, + "Options": "a ) 21.2 seconds , b ) 25.2 seconds , c ) 29.2 seconds , d ) 35.2 seconds , e ) 11.2 seconds", + "Correct": "b", + "Explanation": "speed = 40 km / hr = 40 * ( 5 / 18 ) m / sec = 11.1111 m / sec total distance = 120 + 160 = 280 meter time = distance / speed = 280 * ( 1 / 11.1111 ) = 25.2 seconds answer : b" + }, + { + "Answer": 60, + "Options": "a ) 40 , b ) 50 , c ) 54 , d ) 60 , e ) none of these", + "Correct": "d", + "Explanation": "\"( a + b ) ' s 20 days work = ( 1 / 30 * 20 ) = 2 / 3 . remaining work = ( 1 - 2 / 3 ) = 1 / 3 . now , 1 / 3 work is done by a in 20 days . whole work will be done by a in ( 20 * 3 ) = 60 days . correct option : d\"" + }, + { + "Answer": 187.5, + "Options": "a ) 389 m , b ) 350 m , c ) 187.5 m , d ) 299 m , e ) 219.5 m", + "Correct": "c", + "Explanation": "\"speed = 300 / 24 = 25 / 2 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 39 = 25 / 2 = > x = 187.5 m . answer : c\"" + }, + { + "Answer": 2, + "Options": "a ) 2 : 9 , b ) 2 : 1 , c ) 2 : 7 , d ) 2 : 5 , e ) 2 : 2", + "Correct": "b", + "Explanation": "\"12 m + 16 b - - - - - 5 days 13 m + 24 b - - - - - - - 4 days 60 m + 80 b = 52 m + 96 b 8 m = 16 b = > 1 m = 2 b m : b = 2 : 1 answer : b\"" + }, + { + "Answer": 20, + "Options": "a ) 20 m , b ) 16 m , c ) 11 m , d ) 10 m , e ) 15 m", + "Correct": "a", + "Explanation": "\"explanation : the difference in the timing of a and b is 5 seconds . hence , a beats b by 5 seconds . the distance covered by b in 5 seconds = ( 100 * 5 ) / 25 = 20 m hence , a beats b by 20 m . answer a\"" + }, + { + "Answer": 60, + "Options": "a ) 50 kmph , b ) 60 kmph , c ) 75 kmph , d ) 85 kmph , e ) 90 kmph", + "Correct": "b", + "Explanation": "\"explanation : s = ( 90 + 30 ) / 2 = 60 kmph b )\"" + }, + { + "Answer": 33.333333333333336, + "Options": "a ) 55.55 km , b ) 44.44 km , c ) 33.33 km , d ) 22.22 km , e ) 11.11 km", + "Correct": "c", + "Explanation": "\"explanation : speed downstream = ( 65 + 15 ) = 80 kmph time = 25 minutes = 25 / 60 hour = 5 / 12 hour distance travelled = time \u00d7 speed = ( 2 / 5 ) \u00d7 80 = 33.33 km answer : option c\"" + }, + { + "Answer": 444, + "Options": "a ) 2887 , b ) 444 , c ) 877 , d ) 278 , e ) 178", + "Correct": "b", + "Explanation": "\"1 h - - - - - 5 ? - - - - - - 60 12 h rs = 16 + 21 = 37 t = 12 d = 37 * 12 = 444 answer : b\"" + }, + { + "Answer": 9, + "Options": "a ) 16 days , b ) 12 days , c ) 9 days , d ) 6 days , e ) 18 days", + "Correct": "c", + "Explanation": "number of days taken by ram to complete task = 27 since ram is half as efficient as krish , amount of work done by krish in 1 day = amount of work done by ram in 2 days if total work done by ram in 27 days is 27 w amount of work done by ram in 1 day = w amount of work done by krish in 1 day = 2 w total amount of work done by krish and ram in a day = 3 w total amount of time needed by krish and ram to complete task = 27 w / 3 w = 9 days answer c" + }, + { + "Answer": 0.25, + "Options": "a ) 1 / 8 , b ) 1 / 3 , c ) 1 / 6 , d ) 1 / 2 , e ) 1 / 4", + "Correct": "e", + "Explanation": "\"a ' s one day ' s work = 1 / 40 b ' s one day ' s work = 1 / 60 ( a + b ) ' s one day ' s work = 1 / 40 + 1 / 60 = 1 / 24 the part of the work completed in 6 days = 6 ( 1 / 24 ) = 1 / 4 . answer : e\"" + }, + { + "Answer": 3.4711508793582233, + "Options": "a ) 3.5 , b ) 2.7 , c ) 2.9 , d ) 2.3 , e ) 2.1", + "Correct": "a", + "Explanation": "\"speed = 140 * 5 / 18 = 38.8 m / sec time taken = 135 / 38.8 = 3.5 sec . answer : a\"" + }, + { + "Answer": 160, + "Options": "a ) 150 miles , b ) 160 miles , c ) 140 miles , d ) 170 miles , e ) 200 miles", + "Correct": "b", + "Explanation": "time taken by lewis to reach city b = 240 / 60 = 4 hours in 4 hours , john travels 40 * 4 = 160 miles so distance at which they meet should be greater than 160 miles . only b satisfies . answer is b ." + }, + { + "Answer": 180, + "Options": "a ) 550 , b ) 600 , c ) 650 , d ) 180 , e ) 750", + "Correct": "d", + "Explanation": "\"1 flash = 20 sec for 1 min = 3 flashes so for 1 hour = 3 * 60 = 180 flashes . answer : d\"" + }, + { + "Answer": 3.5, + "Options": "a ) 0 kmph , b ) 3.5 kmph , c ) 16 kmph , d ) 2.5 kmph , e ) 26 kmph", + "Correct": "b", + "Explanation": "\"speed of the stream = 1 / 2 ( 15 - 8 ) kmph = 3.5 kmph . correct option : b\"" + }, + { + "Answer": 2.25, + "Options": "a ) 1.25 , b ) 1.75 , c ) 2.25 , d ) 2.75 , e ) 3.25", + "Correct": "c", + "Explanation": "\"time = 6 / 4 + 6 / 8 = 18 / 8 = 2.25 hours the answer is c .\"" + }, + { + "Answer": 25, + "Options": "a ) 25 , b ) 30 , c ) 28 , d ) 24 , e ) 32", + "Correct": "a", + "Explanation": "\"number of workers = 10 * ( 35 - 10 ) / 10 = 25 answer is a\"" + }, + { + "Answer": 12.199024078073753, + "Options": "a ) 82.1 sec . , b ) 12.2 sec , c ) 19.1 sec . , d ) 17.1 sec . , e ) 42.1 sec .", + "Correct": "b", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec total distance covered = 110 + 134 = 244 m . required time = 244 / 20 = 12.2 sec . answer : b\"" + }, + { + "Answer": 300, + "Options": "a ) 150 , b ) 872 , c ) 287 , d ) 288 , e ) 300", + "Correct": "e", + "Explanation": "\"speed = 90 * ( 5 / 18 ) m / sec = 75 / 3 m / sec length of train ( distance ) = speed * time ( 75 / 3 ) * 12 = 300 meter answer : e\"" + }, + { + "Answer": 31.11111111111111, + "Options": "a ) 15.5 sec , b ) 8.4 sec , c ) 33.6 sec , d ) 31.11 sec , e ) 16.8 sec", + "Correct": "d", + "Explanation": "e - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | - - - - - - - - - - - - - - - - - - - - - - - - - - - - y car a ( 20 mps ) - - - - - - - - - - - - - - - - - - - - - - - - - > p < - - - - - - - - - - - - - - - car b ( 15 mps ) let 2 cars meet each other at point p in t seconds . car 1 covers distance = 20 t . car 2 covers distance = 15 t . so , total distance ey = 35 t . from p , car 1 reaches onto y in 10 secs . so it covers 15 t further . so , 15 t / 20 = 10 so t = 40 / 3 sec and total distance = ( 35 * 40 ) / 3 hence car 2 will cover total distance in ( 35 * 40 ) / ( 3 * 15 ) = 31.11 sec approx . answer d" + }, + { + "Answer": 0.64, + "Options": "a ) 3 / 5 , b ) 4 / 5 , c ) 11 / 15 , d ) 16 / 25 , e ) 19 / 25", + "Correct": "d", + "Explanation": "\"let x be the number of workers on the day crew . let y be the number of boxes loaded by each member of the day crew . then the number of boxes loaded by the day crew is xy . the number of boxes loaded by the night crew is ( 3 x / 4 ) ( 3 y / 4 ) = 9 xy / 16 the total number of boxes is xy + 9 xy / 16 = 25 xy / 16 the fraction loaded by the day crew is xy / ( 25 xy / 16 ) = 16 / 25 the answer is d .\"" + }, + { + "Answer": 225.01799999999997, + "Options": "a ) 280 meter , b ) 240 meter , c ) 225 meter , d ) 200 meter , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : speed of the train = 54 km / hr = ( 54 \u00d7 10 ) / 35 m / s = 15 m / s length of the train = speed \u00d7 time taken to cross the man = 15 \u00d7 20 = 300 m let the length of the platform = l time taken to cross the platform = ( 300 + l ) / 15 = > ( 300 + l ) / 15 = 35 = > 300 + l = 15 \u00d7 35 = 525 = > l = 525 - 300 = 225 meter answer : option c\"" + }, + { + "Answer": 12, + "Options": "a ) 2.25 hours , b ) 8.75 hours , c ) 12 hours , d ) 14.25 hours , e ) 16 hours", + "Correct": "c", + "Explanation": "let each machine do 1 unit of work for 1 hour 8 machines - - > 8 units of work in 1 hour for 6 hours = 8 * 6 = 48 units of total work is done . now this 48 units of total work must be done by 4 machines 4 units of work ( 4 machines ) - - - > 1 hour for 48 units of work 4 * 12 - - - > 1 * 12 hours c 12 hours" + }, + { + "Answer": 28, + "Options": "a ) 29 , b ) 28 , c ) 30 , d ) 32 , e ) 23", + "Correct": "b", + "Explanation": "\"us = 26 ds = 30 m = ( 30 + 26 ) / 2 = 28 answer : b\"" + }, + { + "Answer": 16, + "Options": "a ) 16 , b ) 36 , c ) 42 , d ) 48 , e ) 54", + "Correct": "a", + "Explanation": "speed is inversly proprtional to time walking at 40 % of speed meand 2 / 5 s takes 5 / 2 t . it takes 24 minutes extra to cover the distance . then 5 / 2 t = t + 24 5 t = 2 t + 48 3 t = 48 t = 16 . option a is correct" + }, + { + "Answer": 11.666666666666666, + "Options": "a ) 10.66 kmph , b ) 11.66 kmph , c ) 21.66 kmph , d ) 12.66 kmph , e ) 11.96 kmph", + "Correct": "b", + "Explanation": "\"70 * 10 / 60 = 11.66 kmph answer : b\"" + }, + { + "Answer": 3, + "Options": "a ) 4.25 hr , b ) 5.25 hr , c ) 3 hr , d ) 2.25 hr , e ) 2.50 hr", + "Correct": "c", + "Explanation": "\"speed of boat in still water = 10 km / hr speed of the stream = 8 km / hr speed downstream = ( 10 + 8 ) = 18 km / hr time taken to travel 68 km downstream = 54 \u00e2 \u0081 \u201e 18 = 17 \u00e2 \u0081 \u201e 4 = 3 hours answer is c\"" + }, + { + "Answer": 800, + "Options": "a ) 799 , b ) 800 , c ) 801 , d ) 802 , e ) 803", + "Correct": "b", + "Explanation": "we have , m 1 d 1 = m 2 d 2 9600 * 400 = 4800 * d 2 d 2 = 9600 * 400 / 4800 = 800 days . answer : b" + }, + { + "Answer": 300, + "Options": "a ) 187 m , b ) 278 m , c ) 300 m , d ) 150 m , e ) 267 m", + "Correct": "c", + "Explanation": "\"speed = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec length of the train = ( speed x time ) = ( 50 / 3 * 18 ) m = 300 m . answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 25 m , b ) 45 m , c ) 40 m , d ) 50 m , e ) 62 m", + "Correct": "c", + "Explanation": "\"new speed = 5 / 6 th of usual speed new time = 6 / 5 th of usual time 6 / 5 ut - ut = 8 m ut / 5 = 8 m ut = 40 m answer is c\"" + }, + { + "Answer": 5.052631578947369, + "Options": "a ) 4.05 days , b ) 5.05 days , c ) 14.76 days , d ) 8.05 days , e ) 15.05 days", + "Correct": "b", + "Explanation": "\"a + b = 1 / 4 b + c = 1 / 12 c + a = 1 / 16 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - 2 ( a + b + c ) = 1 / 4 + 1 / 12 + 1 / 16 = 19 / 48 a + b + c = 19 / 96 96 / 19 = 5.05 days answer : b\"" + }, + { + "Answer": 24, + "Options": "a ) 11 , b ) 32 , c ) 24 , d ) 48 , e ) 50", + "Correct": "c", + "Explanation": "\"the product of two integers is equal to the product of their lcm and gcf . hence . 16 * n = 48 * 8 n = 48 * 8 / 16 = 24 correct answer c\"" + }, + { + "Answer": 3.9996800255979523, + "Options": "a ) 8.5 seconds , b ) 2.8 seconds , c ) 3.5 seconds , d ) 2.5 seconds , e ) 4 seconds", + "Correct": "e", + "Explanation": "\"first convert speed into m / sec speed = 90 * ( 5 / 18 ) = 25 m / sec time = distance / speed = 100 / 25 = 4 seconds answer : e\"" + }, + { + "Answer": 13.000000000000002, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 13 , e ) 15", + "Correct": "d", + "Explanation": "\"work done by p in 1 day = 1 / 23 let work done by q in 1 day = q q \u00d7 ( 130 / 100 ) = 1 / 23 = > q = 100 / ( 23 \u00d7 130 ) = 10 / ( 23 \u00d7 13 ) work done by p and q in 1 day = 1 / 23 + 10 / ( 23 \u00d7 13 ) = 23 / ( 23 \u00d7 13 ) = 1 / 13 = > p and q together can do the work in 13 days option d\"" + }, + { + "Answer": 17.998560115190784, + "Options": "a ) 23 , b ) 27 , c ) 28 , d ) 12 , e ) 18", + "Correct": "e", + "Explanation": "speed of the boat downstream = 16 + 4 = 20 kmph = 20 * 5 / 18 = 5.55 m / s hence time taken to cover 100 m = 100 / 5.55 = 18 seconds . answer : e" + }, + { + "Answer": 156, + "Options": "a ) 126 , b ) 136 , c ) 146 , d ) 156 , e ) 166", + "Correct": "d", + "Explanation": "\"reciprocal of the hcf and lcm of two are 1 / 12 and 1 / 312 so , hcf = 12 , lcm = 312 lcm * hcf = product of two numbers = a * b = > b = lcm * hcf / a so , other = 12 * 312 / 24 = 156 answer : d\"" + }, + { + "Answer": 12.727272727272728, + "Options": "a ) 15 days , b ) 16.32 days , c ) 12.72 days , d ) 17 days , e ) 18 days", + "Correct": "c", + "Explanation": "\"lcm = 140 , ratio = 20 : 35 = 4 : 7 no of days = 140 / ( 4 + 7 ) = 90 / 5 = 12.72 days answer : c\"" + }, + { + "Answer": 20, + "Options": "a ) 12 , b ) 20 , c ) 24 , d ) 30 , e ) 36", + "Correct": "b", + "Explanation": "let ' s assume that it takes 4 hours to go from point w to b . then the distance between them becomes 240 which makes distance between b and c 120 . ( 240 + 120 ) / ( 4 + x ) gives us the average speed which is 36 . you find x = 6 . so the question simplifies itself to 120 / 6 = 20 hence the answer is b ." + }, + { + "Answer": 37.800000000000004, + "Options": "a ) 37.9 , b ) 37.2 , c ) 37.1 , d ) 37.82 , e ) 37.8", + "Correct": "e", + "Explanation": "assume the circumference of the circle is 200 meters . hare and tortoise started at the same point but moves in the opposite direction . it is given that by that time tortoise covered 40 m ( 1 / 5 th of the distance ) , hare started and both met after hare has covered 25 . this implies , in the time hare has covered 25 m , hare has covered 200 - 40 - 25 = 135 meters . so hare : tortoise speeds = 25 : 135 = 5 : 27 now hare and tortoise has to reach the starting point means , hare has to cover 175 meters and tortoise has to cover only 25 meters in the same time . as time = distancespeed = 2527 = 1755 \u00d7 kdistancespeed = 2527 = 1755 \u00d7 k ie . , hare has to increase its speed by a factor k . solving we get k = 37.8 answer : e" + }, + { + "Answer": 125.00999999999999, + "Options": "a ) 135 m , b ) 125 m , c ) 129 m , d ) 120 m , e ) 165 m", + "Correct": "b", + "Explanation": "\"explanation : d = 90 * 5 / 18 * 5 = 125 m answer : option b\"" + }, + { + "Answer": 400, + "Options": "a ) 300 , b ) 400 , c ) 250 , d ) 350 , e ) 450", + "Correct": "b", + "Explanation": "\"50 kmph consumption is 1 lt / hr so 400 km will take 8 hrs and the consumption is 8 lt for entire distance . 1 lt costs $ 30 so 8 lt costs $ 240 extra expenses for 1 hr - $ 20 8 hrs - $ 160 total expense - $ 240 + $ 160 = $ 400 answer : b\"" + }, + { + "Answer": 600, + "Options": "a ) rs . 500 , b ) rs . 400 , c ) rs . 800 , d ) rs . 600 , e ) rs . 200", + "Correct": "d", + "Explanation": "explanation : share of their work days = 30 : 20 share of their work = 20 : 30 share of b \u2019 s money = 3 / 5 * 1000 = 600 answer : option d" + }, + { + "Answer": 1.9071321976361095, + "Options": "a ) 15 / 10 , b ) 19 / 10 , c ) 20 / 19 , d ) 16 / 10 , e ) 27 / 10", + "Correct": "b", + "Explanation": "\"they are moving in opposite directions , relative speed is equal to the sum of their speeds . relative speed = ( 69 + 82 ) * 5 / 18 = 41.9 mps . the time required = d / s = 80 / 41.9 = 19 / 10 sec . answer : b\"" + }, + { + "Answer": 47.99999999999999, + "Options": "a ) 76 days , b ) 48 days , c ) 98 days , d ) 31 days , e ) 22 days", + "Correct": "b", + "Explanation": "\"b = 1 / 16 \u2013 1 / 24 = 1 / 48 = > 48 days answer : b\"" + }, + { + "Answer": 99.99999999999997, + "Options": "a ) 200 m , b ) 700 m , c ) 800 m , d ) 100 metre , e ) 1004 m", + "Correct": "d", + "Explanation": "explanation : a can give b ( 5 min - 4 1 / 2 min ) = 30 sec start . the distance covered by b in 5 min = 1000 m . distance covered in 30 sec = ( 1000 * 30 ) / 300 = 100 m . a can give b 100 m start . answer : d" + }, + { + "Answer": 7, + "Options": "a ) 40 / 3 , b ) 11 , c ) 7 , d ) 7 / 3 , e ) 9 / 7", + "Correct": "c", + "Explanation": "70 workers = 3 hours then , 1 worker = 3 * 70 hours 30 workers = ( 3 * 70 ) / ( 30 ) = 7 answer : c" + }, + { + "Answer": 38, + "Options": "a ) 65 , b ) 38 , c ) 20 , d ) 28 , e ) 21", + "Correct": "b", + "Explanation": "answer : b ) 38 km" + }, + { + "Answer": 2000, + "Options": "a ) 4436 toys , b ) 5487 toys , c ) 2000 toys , d ) 2354 toys , e ) 1375 toys", + "Correct": "c", + "Explanation": "\"to find the number of toys produced every day , we divide the total number of toys produced in one week ( of 4 days ) by 4 . 8000 / 4 = 2000 toys correct answer c\"" + }, + { + "Answer": 11.999040076793857, + "Options": "a ) 12 sec , b ) 7 sec , c ) 8 sec , d ) 9 sec , e ) 10 sec", + "Correct": "a", + "Explanation": "\"t = 120 / 36 * 18 / 5 = 12 sec answer : a\"" + }, + { + "Answer": 28875, + "Options": "a ) rs . 15,000 , b ) rs . 15,500 , c ) rs . 15,600 , d ) rs . 28,875 , e ) none", + "Correct": "d", + "Explanation": "\"solution area of the floor = ( 5.5 x 3.75 ) m \u00b2 = 20.635 m \u00b2 cost of paying = rs . ( 1400 x 20.625 ) = rs . 28875 . answer d\"" + }, + { + "Answer": 15, + "Options": "a ) 23 , b ) 22 , c ) 15 , d ) 36 , e ) 48", + "Correct": "c", + "Explanation": "\"c 15 wc = 1 : 2 2 x + x = 1 / 10 = > x = 1 / 30 2 x = 1 / 15 = > 15 days\"" + }, + { + "Answer": 35, + "Options": "a ) 35 m east , b ) 35 m north , c ) 30 m west , d ) 45 m east , e ) 55 m east", + "Correct": "a", + "Explanation": "! 20 ! - - - > 15 ! ! ! - - - > ! 20 + 15 = 35 answer : a" + }, + { + "Answer": 20, + "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 72 %", + "Correct": "a", + "Explanation": "\"72 \u00b0 divided by 360 \u00b0 equals 0.2 , therefore the sector is equal to 20 % of the total answer : a\"" + }, + { + "Answer": 90, + "Options": "a ) 12 kg , b ) 90 kg , c ) 72 kg , d ) 96 kg , e ) none", + "Correct": "b", + "Explanation": "\"solution volume of water displaced = ( 3 x 2 x 0.015 ) m 3 = 0.09 m 3 . mass of man = volume of water displaced \u00d7 density of water = ( 0.09 \u00d7 1000 ) kg = 90 kg . answer b\"" + }, + { + "Answer": 6.802214443534172, + "Options": "a ) 7.19 , b ) 6.8 , c ) 7.2 , d ) 7.15 , e ) 7.11", + "Correct": "b", + "Explanation": "\"t = ( 121 + 153 ) / ( 80 + 65 ) * 18 / 5 t = 6.8 answer : b\"" + }, + { + "Answer": 0.41666666666666663, + "Options": "a ) 1 / 3 , b ) 7 / 12 , c ) 5 / 12 , d ) 2 / 3 , e ) 1 / 2", + "Correct": "c", + "Explanation": "\"ans is : c a ' s 1 day ' s work = 1 / 15 b ' s 1 day ' s work = 1 / 20 ( a + b ) ' s 1 day ' s work = ( 1 / 15 + 1 / 20 ) = 7 / 60 ( a + b ) ' s 5 day ' s work = ( 7 / 60 * 5 ) = 7 / 12 therefore , remaining work = ( 1 - 7 / 12 ) = 5 / 12 . answer : c\"" + }, + { + "Answer": 5, + "Options": "a ) 8 hrs , b ) 5 hrs , c ) 15 hrs , d ) 15 hrs , e ) 20 hrs", + "Correct": "b", + "Explanation": "speed in down stream = 10 + 8 = 18 time taken to cover 90 km down stream = 90 / 18 = 5 hrs . answer : b" + }, + { + "Answer": 2.222044458665529, + "Options": "a ) 8.5 seconds , b ) 2.22 seconds , c ) 3.5 seconds , d ) 2.5 seconds , e ) 2.6 seconds", + "Correct": "b", + "Explanation": "\"first convert speed into m / sec speed = 162 * ( 5 / 18 ) = 45 m / sec time = distance / speed = 100 / 45 = 2.22 seconds answer : b\"" + }, + { + "Answer": 29.997600191984645, + "Options": "a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 30", + "Correct": "e", + "Explanation": "\"speed of train relative to man = 60 + 6 = 66 km / hr . = 66 * 5 / 18 = 55 / 3 m / sec . time taken to pass the men = 550 * 3 / 55 = 30 sec . answer : option e\"" + }, + { + "Answer": 5, + "Options": "a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 11", + "Correct": "a", + "Explanation": "one days ' s work of a , b and c = 1 / 90 + 1 / 45 + 1 / 6 = ( 1 + 2 + 15 ) / 90 = 1 / 5 a , b and c together can do the work in 5 days . answer : a" + }, + { + "Answer": 33, + "Options": "a ) 33 , b ) 67 , c ) 30 , d ) 15 , e ) 17", + "Correct": "a", + "Explanation": "\"us = 25 ds = 41 m = ( 41 + 25 ) / 2 = 33 answer : a\"" + }, + { + "Answer": 20.166666666666664, + "Options": "a ) 15 kmph , b ) 11 kmph , c ) 88 kmph , d ) 20 kmph , e ) 12 kmph", + "Correct": "d", + "Explanation": "\"110 * 11 / 60 = 20 kmph answer : d\"" + }, + { + "Answer": 5, + "Options": "a ) 2 . , b ) v = 4 . , c ) v = 5 . , d ) v = 6 . , e ) 8 .", + "Correct": "c", + "Explanation": "\"c . 5 hrs if there were 10 beavers it qould have taken double v = 6 hrs . . so closest to that option is 5 .\"" + }, + { + "Answer": 0.1, + "Options": "a ) 1 / 3 , b ) 1 / 10 , c ) 1 / 15 , d ) 3 / 8 , e ) 2 / 3", + "Correct": "b", + "Explanation": "1 / 5 c 2 = 1 / 10 . answer : b ." + }, + { + "Answer": 6000, + "Options": "a ) 6000 m 3 , b ) 4580 m 3 , c ) 18500 m 3 , d ) 4900 m 3 , e ) 4700 m 3", + "Correct": "a", + "Explanation": "\"explanation : ( 4000 * 2 * 45 ) / 60 = 6000 m 3 answer : option a\"" + }, + { + "Answer": 7.2, + "Options": "a ) 4.3 , b ) 7.2 , c ) 2.3 , d ) 3.2 , e ) 1.1", + "Correct": "b", + "Explanation": "\"explanation : speed = { \\ color { blue } \\ left ( \\ frac { 600 } { 5 \\ times 60 } \\ right ) m / sec = 2 m / sec = \\ left ( 2 \\ times \\ frac { 18 } { 5 } \\ right ) km / hr = 7.2 km / hr } answer : b\"" + }, + { + "Answer": 600, + "Options": "a ) 299 , b ) 266 , c ) 299 , d ) 750 , e ) 600", + "Correct": "e", + "Explanation": "\"speed = [ 72 * 5 / 18 ] m / sec = 20 m / sec ; time = 1 min . = 60 sec . let the length of the train and that of the platform be x meters . then , 2 x / 60 = 20 = > x = 20 * 60 / 2 = 600 answer : e\"" + }, + { + "Answer": 30, + "Options": "a ) 40 , b ) 25 , c ) 28 , d ) 30 , e ) 30.5", + "Correct": "d", + "Explanation": "\"let t be the number of hours that bob had walked when he met yolanda . then , when they met , bob had walked 4 t miles and yolanda had walked 5 ( t + 1 ) miles . these distances must sum to 60 miles , so 6 t + 5 ( t + 1 ) = 60 , which may be solved for t as follows 6 t + 5 ( t + 1 ) = 60 6 t + 5 t + 5 = 60 11 t = 55 t = 5 ( hours ) therefore , bob had walked 6 t = 6 ( 5 ) = 30 miles when they met . the best answer is d .\"" + }, + { + "Answer": 370, + "Options": "a ) 270 , b ) 370 , c ) 266 , d ) 299 , e ) 126", + "Correct": "b", + "Explanation": "\"relative speed = ( 72 - 36 ) * 5 / 18 = 2 * 5 = 10 mps . distance covered in 37 sec = 37 * 10 = 370 m . the length of the faster train = 370 m . answer : b\"" + }, + { + "Answer": 30, + "Options": "a ) 32 hours , b ) 30 hours , c ) 34 hours , d ) 31 hours , e ) 33 hours", + "Correct": "b", + "Explanation": "part filled without leak in 1 hour = 1 / 5 part filled with leak in 1 hour = 1 / 6 work done by leak in 1 hour = 1 / 5 \u00e2 \u02c6 \u2019 1 / 6 = 30 hours answer : b" + }, + { + "Answer": 1.999840012798976, + "Options": "a ) 2 sec , b ) 32 / 3 sec , c ) 20 / 7 sec , d ) 32 / 3 sec , e ) 53 / 2 sec", + "Correct": "a", + "Explanation": "\"they are moving in opposite directions , relative speed is equal to the sum of their speeds . relative speed = ( 54 + 72 ) * 5 / 18 = 7 * 5 = 35 mps . the time required = d / s = 70 / 35 = 2 sec . answer : a\"" + }, + { + "Answer": 535.7142857142857, + "Options": "a ) 287 m , b ) 350 m , c ) 267 m , d ) 535.71 m , e ) 656 m", + "Correct": "d", + "Explanation": "\"speed = 300 / 14 = 150 / 7 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 39 = 150 / 7 = > x = 535.71 m . answer : d\"" + }, + { + "Answer": 15, + "Options": "a ) 1 min , b ) 5 min , c ) 10 min , d ) 15 min , e ) 20 min", + "Correct": "d", + "Explanation": "\"required time = 15 * 2 * 1 / 2 = 15 minutes answer is d\"" + }, + { + "Answer": 150.012, + "Options": "a ) 150 meter , b ) 240 meter , c ) 200 meter , d ) 260 meter , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : speed of the train = 54 km / hr = ( 54 \u00d7 10 ) / 30 m / s = 15 m / s length of the train = speed \u00d7 time taken to cross the man = 15 \u00d7 20 = 300 m let the length of the platform = l time taken to cross the platform = ( 300 + l ) / 15 = > ( 300 + l ) / 15 = 30 = > 300 + l = 15 \u00d7 30 = 450 = > l = 450 - 300 = 150 meter answer : option a\"" + }, + { + "Answer": 250, + "Options": "a ) 500 , b ) 1000 , c ) 350 , d ) 250 , e ) 20", + "Correct": "d", + "Explanation": "\"speed = [ 250 / 20 ] m / sec = 25 / 2 m / sec . let the length of the platform be x meters . then , x + 250 / 40 = 25 / 2 2 ( x + 250 ) = 1000 \u00e8 x = 250 m . answer : d\"" + }, + { + "Answer": 170.0416, + "Options": "a ) 230 m , b ) 140 m , c ) 160 m , d ) 170 m , e ) none of these", + "Correct": "d", + "Explanation": "explanation : speed = [ 72 x ( 5 / 18 ) ] m / sec = 20 m / sec . time = 26 sec . let the length of the train be x metres . then , [ ( x + 350 ) / 26 ] = 20 = > x + 350 = 520 = > x = 170 . answer : d" + }, + { + "Answer": 2331, + "Options": "a ) s . 1014 , b ) s . 1140 , c ) s . 999 , d ) s . 1085 , e ) s . 2331", + "Correct": "e", + "Explanation": "\"a 2 = 3136 = > a = 56 56 * 4 * 3 = 672 \u2013 6 = 666 * 3.5 = 2331 answer : e\"" + }, + { + "Answer": 12, + "Options": "a ) 8 days , b ) 6 days , c ) 7 days , d ) 9 days , e ) 12 days", + "Correct": "e", + "Explanation": "\"1 women ' s 1 day work = 1 / 420 1 child ' s 1 day work = 1 / 140 ( 5 women + 10 children ) ' s 1 day work = ( 5 / 420 + 10 / 140 ) = 1 / 12 5 women and 10 children will complete the work in 12 days . answer : e\"" + }, + { + "Answer": 999.9999999999998, + "Options": "a ) 10000 cubes , b ) 1000 cubes , c ) 100 cubes , d ) 50 cubes , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : number of cubes = 100 \u2217 100 \u2217 100 / 10 \u2217 10 \u2217 10 = 1000 note : 1 m = 100 cm option b\"" + }, + { + "Answer": 552, + "Options": "a ) 456 kms , b ) 482 kms , c ) 552 kms , d ) 556 kms , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : total distance travelled in 12 hours = ( 35 + 37 + 39 + . . . . . upto 12 terms ) this is an a . p with first term , a = 35 , number of terms , n = 12 , d = 2 . required distance = 12 / 2 [ 2 \u00d7 35 + { 12 - 1 ) \u00d7 2 ] = 6 ( 70 + 23 ) = 552 kms . answer : c\"" + }, + { + "Answer": 20, + "Options": "a ) 20 , b ) 10 , c ) 15 , d ) 5 , e ) 7", + "Correct": "a", + "Explanation": "time taken by a to finish the work = xy / ( y - x ) = 10 x 20 / ( 20 - 10 ) = 200 / 10 = 20 days answer : a" + }, + { + "Answer": 2, + "Options": "a ) 2 pm , b ) 4 pm , c ) 1 pm , d ) 3 pm , e ) 5 pm", + "Correct": "a", + "Explanation": "let x hours be they will meet together distance covered by 1 st person + distance covered by 2 nd person = 600 km 70 x + 80 x = 600 x = 4 hr they will meet = 10 am + 4 hr = 2 pm answer is a" + }, + { + "Answer": 4, + "Options": "a ) 8 / 3 , b ) 3 / 8 , c ) 8 / 5 , d ) 4 / 1 , e ) 5 / 3", + "Correct": "d", + "Explanation": "\"distance traveled by eddy = 900 km time taken by eddy = 3 hours average speed of eddy = 900 / 3 = 300 km / hour distance traveled by freddy = 300 km time taken by freddy = 4 hours average speed of freddy = 300 / 4 = 75 km / hour ratio of average speed of eddy to freddy = 300 / 75 = 4 / 1 answer d\"" + }, + { + "Answer": 40, + "Options": "a ) 1 , b ) 3.5 , c ) 40 , d ) 49 , e ) 30", + "Correct": "c", + "Explanation": "\"explanation : let the required number days be x . less honey bees , more days ( indirect proportion ) less honey , less days ( direct proportion ) honey bees 1 : 40 : : 40 : x honey 40 : 1 = > 1 x 40 x x = 40 x 1 x 40 = > x = 40 . answer : c\"" + }, + { + "Answer": 7, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", + "Correct": "d", + "Explanation": "the rate of the pump + leak = 5 / 14 1 / 2 - leak ' s rate = 5 / 14 leak ' s rate = 1 / 2 - 5 / 14 = 1 / 7 the leak will empty the tank in 7 hours . the answer is d ." + }, + { + "Answer": 25, + "Options": "a ) 22 days , b ) 25 days , c ) 28 days , d ) 16 days , e ) 27 days", + "Correct": "b", + "Explanation": "one man can consume the same food in 20 * 50 = 1000 days . 20 more men join , the total number of men = 40 the number of days the food will last = 1000 / 40 = 25 days . answer : b" + }, + { + "Answer": 36, + "Options": "a ) 76 kmph , b ) 54 kmph , c ) 72 kmph , d ) 36 kmph , e ) 91 kmph", + "Correct": "d", + "Explanation": "\"length = speed * time speed = l / t s = 300 / 30 s = 10 m / sec speed = 10 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 36 kmph answer : d\"" + }, + { + "Answer": 77.473, + "Options": "a ) 22 , b ) 77 , c ) 877 , d ) 99 , e ) 88", + "Correct": "b", + "Explanation": "3.78 meters = 378 cm = 2 \u00d7 3 \u00d7 3 \u00d7 3 \u00d7 7 5.25 meters = 525 cm = 5 \u00d7 5 \u00d7 3 \u00d7 7 hence common factors are 3 and 7 hence lcm = 3 \u00d7 7 = 21 hence largest size of square tiles that can be paved exactly with square tiles is 77 cm . answer : b" + }, + { + "Answer": 1.090909090909091, + "Options": "a ) 4 / 3 , b ) 6 / 5 , c ) 8 / 7 , d ) 10 / 9 , e ) 12 / 11", + "Correct": "e", + "Explanation": "\"the combined rate is 1 / 4 + 1 / 2 + 1 / 6 = 11 / 12 of the job per hour . the time to complete the job is 12 / 11 hours . the answer is e .\"" + }, + { + "Answer": 70, + "Options": "a ) 21 , b ) 28 , c ) 90 , d ) 26 , e ) 70", + "Correct": "e", + "Explanation": "\"explanation : sp of 1 m of cloth = 8925 / 85 = rs . 105 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 105 - rs . 35 = rs . 70 . answer : e\"" + }, + { + "Answer": 34.997200223982084, + "Options": "a ) 22 sec , b ) 35 sec , c ) 25 sec , d ) 18 sec , e ) 17 sec", + "Correct": "b", + "Explanation": "\"d = 200 + 150 = 350 s = 36 * 5 / 18 = 10 mps t = 350 / 10 = 35 sec answer : b\"" + }, + { + "Answer": 62, + "Options": "a ) 52 kmph , b ) 56 kmph , c ) 58 kmph , d ) 62 kmph , e ) 72 kmph", + "Correct": "d", + "Explanation": "\"explanation : relative speed = 280 / 9 m / sec = ( ( 280 / 9 ) \u00d7 ( 18 / 5 ) ) kmph = 112 kmph . speed of goods train = ( 112 - 50 ) kmph = 62 kmph answer : option d\"" + }, + { + "Answer": 550.0000000000001, + "Options": "a ) 250 , b ) 425 , c ) 550 , d ) 700 , e ) 750", + "Correct": "c", + "Explanation": "machine a can produce 100 * 30 / 12 = 250 copies and , machine b can produce 150 * 30 / 15 = 300 copies total producing 550 copies . c is the answer" + }, + { + "Answer": 760.5714285714286, + "Options": "a ) 708 m , b ) 704 m , c ) 774 m , d ) 760.57 m , e ) 744 m", + "Correct": "d", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 500 resolutions . = 500 * 2 * 22 / 7 * 24.2 = 76057 cm = 760.57 m answer : d\"" + }, + { + "Answer": 4.499640028797696, + "Options": "a ) 1.5 , b ) 2.5 , c ) 3.5 , d ) 4.5 , e ) 5.5", + "Correct": "d", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec time taken = 90 / 20 = 4.5 sec . answer : d\"" + }, + { + "Answer": 250, + "Options": "a ) 111.12 , b ) 250 , c ) 111.64 , d ) 111.11 , e ) 101.12", + "Correct": "b", + "Explanation": "\"a runs 1000 m while b runs 800 m and c runs 600 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 600 ) / 800 = 750 m . b can give c = 1000 - 750 = 250 m . answer : b\"" + }, + { + "Answer": 14.444444444444443, + "Options": "a ) 7 min , b ) 8 min , c ) 14.4 min , d ) 10 min , e ) 11 min", + "Correct": "c", + "Explanation": "due to stoppages , it covers 13 km less . time taken to cover 13 km = ( 13 / 54 ) x 60 = 14.4 min answer : c" + }, + { + "Answer": 60, + "Options": "a ) 60 sec , b ) 40 sec , c ) 30 sec , d ) 45 sec , e ) 1 min 10 sec", + "Correct": "a", + "Explanation": "net speed = 15 - 10 = 5 m / sec net distance = 100 + 150 + 50 = 300 total time = 300 / 5 = 60 sec answer a" + }, + { + "Answer": 40, + "Options": "a ) 20 minutes , b ) 30 minutes , c ) 40 minutes , d ) 50 minutes , e ) 60 minutes", + "Correct": "c", + "Explanation": "total work done by both machines in a minute = 15 + 10 = 25 copies total number of copies required = 1000 time = 1000 / 25 = 40 mins answer c" + }, + { + "Answer": 11, + "Options": "a ) 8 pm , b ) 6 pm , c ) 11 pm , d ) 10 pm , e ) 5 pm", + "Correct": "c", + "Explanation": "\"time of meeting = distance / relative speed = 50 / 4 + 6 = 50 / 10 = 5 hrs after 6 pm = 11 pm answer is c\"" + }, + { + "Answer": 18, + "Options": "a ) 16 , b ) 18 , c ) 20 , d ) 22 , e ) 24", + "Correct": "b", + "Explanation": "\"the volume the tank is : length * width * depth = 6 * 4 * 3 = 72 cubic feet . 72 cubic feet / 4 cubic feet per hour = 18 hours . it will take 18 hours to fill the tank . the answer is b .\"" + }, + { + "Answer": 83.5, + "Options": "a ) 22 , b ) 89.5 , c ) 76.9 , d ) 83.5 , e ) 11", + "Correct": "d", + "Explanation": "\"sp of 1 m of cloth = 9890 / 92 = rs . 107.5 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 107.5 - rs . 24 = rs . 83.5 answer : d\"" + }, + { + "Answer": 196, + "Options": "a ) 196 m , b ) 194 m , c ) 186 m , d ) 296 m , e ) 106 m", + "Correct": "a", + "Explanation": ". ratio of the rates of a and b = 7 / 4 : 1 = 7 : 4 . so , in a race of 7 m , a gains 3 m over b . : . 3 m are gained by a in a race of 7 m . : . 84 m are gained by a in a race of ( 7 / 3 x 84 ) m = 196 m . : . winning post must be 196 m away from the starting point . answer is a ." + }, + { + "Answer": 17, + "Options": "a ) 12 kmph , b ) 13 kmph , c ) 14 kmph , d ) 15 kmph , e ) 17 kmph", + "Correct": "e", + "Explanation": "\"the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 51 / 3 = 17 kmph answer : e\"" + }, + { + "Answer": 60, + "Options": "a ) 50 mph , b ) 45 mph , c ) 48 mph , d ) 52 mph , e ) 60 mph", + "Correct": "e", + "Explanation": "let t be the number of hours he would need to reach office on time . when he is driving with over speed , he reached office 4 min earlier ! so the equation for this is s ( t - 4 / 60 ) = 40 where s is the speed and 30 is the distance . if he decreases his speed by 5 mph then he would have reached his office on time : ( s - 5 ) t = 40 if you solve above equations , you will arrive at t = 2 / 3 hr and s = 60 mph therefore answer is e" + }, + { + "Answer": 21, + "Options": "a ) 18 , b ) 19 , c ) 10 , d ) 21 , e ) 12", + "Correct": "d", + "Explanation": "\"explanation : 14 trees have 13 gaps between them , required distance ( 273 / 13 ) = 21 option d\"" + }, + { + "Answer": 0.6666666666666667, + "Options": "a ) 5 / 6 , b ) 4 / 5 , c ) 3 / 4 , d ) 2 / 3 , e ) 1 / 2", + "Correct": "d", + "Explanation": "the searchlight completes one revolution every 15 seconds . the probability that the man ' s area will be lit up is 5 / 15 = 1 / 3 . the probability that he will stay in the dark is 1 - 1 / 3 = 2 / 3 the answer is d ." + }, + { + "Answer": 250.04160000000002, + "Options": "a ) 230 m , b ) 250 m , c ) 260 m , d ) 270 m , e ) 240 m", + "Correct": "b", + "Explanation": "\"s = 270 + x / t 72 * 5 / 18 = 270 + x / 26 x = 250 answer : b\"" + }, + { + "Answer": 9.523809523809524, + "Options": "a ) 8 , b ) 9.52 , c ) 10 , d ) 11.7 , e ) 20", + "Correct": "b", + "Explanation": "average speed = total distance / total time here distance to hill top and back is same as he takes the same route . d = 5 t 1 and d = 100 t 2 therefore , t 1 = d / 5 and t 2 = d / 100 t 1 + t 2 = 21 d / 100 therefore , average speed = 2 d / 21 d / 100 = 2 d * 100 / 21 d answer is 9.52 since , the options are far away we need not solve till the decimal points so correct answer is option b" + }, + { + "Answer": 40, + "Options": "a ) 50 minutes , b ) 20 minutes , c ) 40 minutes , d ) 60 minutes , e ) 80 minutes", + "Correct": "c", + "Explanation": "let the distance and original speed be d km and k kmph respectively . d / 0.8 k - d / k = 10 / 60 = > 5 d / 4 k - d / k = 1 / 6 = > ( 5 d - 4 d ) / 4 k = 1 / 6 = > d = 4 / 6 k = 2 / 3 k time taken to cover the distance at original speed = d / k = 2 / 3 hours = 40 minutes . answer : c" + }, + { + "Answer": 36, + "Options": "a ) 3.6 sec , b ) 18 sec , c ) 36 sec , d ) 72 sec , e ) none", + "Correct": "c", + "Explanation": "category formulae examples directions : problems based on trains . 11 . a train 280 m long , running with a speed of 63 km / hr will pass a tree in a . 15 sec . b . 16 sec . c . 18 sec . d . 20 sec . solution speed = ( 63 x 5 / 18 ) m / sec = 35 / 2 msec time taken = ( 280 x 2 / 35 ) m / sec = 16 sec . 12 . a train running at the speed of 60 km / hr crosses a pole in 9 seconds . what is ihe length of the train ? a . 120 metres b . 180 metres c . 324 metres d . none of these solution 13 . a jogger running at 9 kmph alongside a railway track is 240 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ? a . 3.6 sec b . 18 sec c . 36 sec d . 72 sec solution speed of train relative to jogger = ( 45 - 9 ) km / hr = 36 km / hr = ( 36 x 5 / 18 ) m / sec = 10 m / sec distance covered = ( 240 + 120 ) m = 360 m time taken = ( 360 / 10 ) sec = 36 sec . answer c" + }, + { + "Answer": 13, + "Options": "a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 17", + "Correct": "a", + "Explanation": "the fraction of work completed in two days is 2 / 5 + 2 / 20 + 2 / 30 = 17 / 30 the fraction of work remaining is 1 - 17 / 30 = 13 / 30 the number of days required for z is 13 days . the answer is a ." + }, + { + "Answer": 8.999280057595392, + "Options": "a ) 7 , b ) 9 , c ) 5 , d ) 10 , e ) 3", + "Correct": "b", + "Explanation": "sol . speed = [ 80 x 5 / 18 ] m / sec = 22.2 m / sec . time taken = ( 200 / 22.2 ) sec = 9 sec . answer b" + }, + { + "Answer": 68.33333333333333, + "Options": "a ) 68 , b ) 69 , c ) 70 , d ) 67 , e ) 76", + "Correct": "a", + "Explanation": "let total no of hrs = x they have done 24 + 17 = 41 40 % of x is 40 / 100 = 2 / 5 x = 41 + 2 x / 5 x = 68.3 answer : a" + }, + { + "Answer": 10, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "e", + "Explanation": "\"let x be the total time it takes for the cistern to fill . 2 / 10 + x / 15 = 1 x / 15 = 4 / 5 x = 12 after the first pipe is turned off , it takes 10 more minutes to fill the cistern . the answer is e .\"" + }, + { + "Answer": 92, + "Options": "a ) 52 kmph . , b ) 62 kmph . , c ) 72 kmph . , d ) 92 kmph . , e ) none", + "Correct": "d", + "Explanation": "\"solution relative speed = ( 280 / 9 ) m / sec = ( 280 / 9 x 18 / 5 ) = 112 kmph . speed of the train = ( 112 - 20 ) kmph = 92 kmph . answer d\"" + }, + { + "Answer": 39.2, + "Options": "a ) 39.2 sec , b ) 35 sec , c ) 44 sec , d ) 40 sec , e ) none of these", + "Correct": "a", + "Explanation": "\"speed = 45 km / hr = 45 \u00e3 \u2014 ( 5 / 18 ) m / s = 150 / 12 = 50 / 4 = 25 / 2 m / s total distance = length of the train + length of the platform = 360 + 130 = 490 meter time taken to cross the platform = 490 / ( 25 / 2 ) = 490 \u00e3 \u2014 2 / 25 = 39.2 seconds answer : a\"" + }, + { + "Answer": 65, + "Options": "a ) 3 , b ) 65 , c ) 9 , d ) 5 , e ) 31", + "Correct": "b", + "Explanation": "answer : b" + }, + { + "Answer": 7.819999999999999, + "Options": "a ) 7.82 km , b ) 6 km , c ) 5.76 km , d ) 5.66 km , e ) 10 km", + "Correct": "a", + "Explanation": "\"m = 8 s = 1.2 ds = 9.2 us = 6.8 x / 9.2 + x / 6.8 = 1 x = 3.91 d = 3.91 * 2 = 7.82 answer : a\"" + }, + { + "Answer": 480, + "Options": "a ) 120 km , b ) 360 km , c ) 480 km , d ) 500 km , e ) none", + "Correct": "c", + "Explanation": "sol . suppose they meet x hours after 14.30 hrs . then , 60 x = 80 ( x - 2 ) or x = 8 . \u2234 required distance = ( 60 x 8 ) km = 480 km . answer c" + }, + { + "Answer": 2, + "Options": "a ) 2 hours , b ) 2.5 hours , c ) 3 hours , d ) 3.5 hours , e ) 4 hours", + "Correct": "a", + "Explanation": "the combined inflow rate of the two inlets is 1 / 2 + 1 / 4 = 3 / 4 cistern / hour . thus , working together , it takes 4 / 3 hours ( time is reciprocal of rate ) to fill the cistern . from 9 : 00 am to 10 : 00 am , so in 1 hours , the inlet pipes will fill ( time ) * ( rate ) = 1 * 3 / 4 = 3 / 4 th of the cistern . then the outlet is turned on and the remaining 1 / 4 th of the cistern is filled in 1 hour . letting x to be the rate of the outlet , we would have : 3 / 4 - x = 1 / 4 - - > x = 1 / 2 cistern / hour , which means that it takes 2 hours the outlet working alone to empty the cistern . answer : a" + }, + { + "Answer": 210, + "Options": "a ) 200 sec , b ) 210 sec , c ) 167 sec , d ) 197 sec , e ) 179 sec", + "Correct": "b", + "Explanation": "\"l = s * t s = 1200 / 120 s = 10 m / sec . total length ( d ) = 2100 m t = d / s t = 2100 / 10 t = 210 sec answer : b\"" + }, + { + "Answer": 62.99496040316775, + "Options": "a ) 25 , b ) 63 , c ) 40 , d ) 45 , e ) 60", + "Correct": "b", + "Explanation": "\"explanation : speed of train relatively to man = ( 30 - 6 ) km / hr = 24 km / hr = ( 24 x 5 / 18 ) m / sec = 6.66 m / sec time taken to pass the man = ( 420 / 6.66 ) sec = 63 sec . answer : b\"" + }, + { + "Answer": 6048.000000000001, + "Options": "a ) 7580 , b ) 7960 , c ) 8290 , d ) 6048 , e ) none", + "Correct": "d", + "Explanation": "\"solution work done by the inlet in 1 hour = ( 1 / 7 - 1 / 12 ) = 5 / 84 work done by the inlet in 1 min . = ( 5 / 84 \u00d7 1 / 60 ) = 0.000992 volume of 0.000992 part = 6 litres . therefore , volume of whole = ( ( 1 / 0.000992 ) \u00d7 6 ) \u2039 = \u203a 6048 litres . answer d\"" + }, + { + "Answer": 2, + "Options": "a ) 8 hrs , b ) 9 hrs , c ) 2 hrs , d ) 2 hrs , e ) 9 hrs", + "Correct": "c", + "Explanation": "ratio of speeds = 3 : 4 ratio of times taken = 4 : 3 suppose a takes 4 x hrs and b takes 3 x hrs to reach the destination . then , 4 x - 3 x = 30 / 60 = > x = 1 / 2 time taken by a = 4 x hrs = 4 * 1 / 2 = 2 hrs . answer : c" + }, + { + "Answer": 200, + "Options": "a ) 220 km , b ) 224 km , c ) 230 km , d ) 232 km , e ) 200 km", + "Correct": "e", + "Explanation": "\"0.5 x / 20 + 0.5 x / 20 = 10 - - > x / 20 + x / 20 = 20 - - > 2 x = 20 x 20 - - > x = ( 20 x 20 ) / 2 = 200 km . answer : e .\"" + }, + { + "Answer": 21.428571428571423, + "Options": "a ) a ) 19.42 , b ) b ) 20.42 , c ) c ) 21.42 , d ) d ) 22.42 , e ) e ) 23.42", + "Correct": "c", + "Explanation": "\"explanation : t = 15 / 42 * 60 = 21.42 answer : option c\"" + }, + { + "Answer": 3.0000000000000004, + "Options": "a ) 1 , b ) 1.5 , c ) 2 , d ) 2.5 , e ) 3", + "Correct": "e", + "Explanation": "new time = d / ( 4 v / 5 ) = 5 / 4 * usual time 45 minutes represents 1 / 4 of the usual time . the usual time is 4 * 45 minutes = 3 hours . the answer is e ." + }, + { + "Answer": 20.000000000000004, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 15 , e ) 20", + "Correct": "e", + "Explanation": "\"renu \u00e2 \u20ac \u2122 s one day \u00e2 \u20ac \u2122 s work = 1 / 5 suma \u00e2 \u20ac \u2122 s one day \u00e2 \u20ac \u2122 s work = 1 / 4 - 1 / 5 = 1 / 20 suma can do it alone in 20 days . answer : e\"" + }, + { + "Answer": 60.25, + "Options": "a ) 10.21 , b ) 10.27 , c ) 10.25 , d ) 10.23 , e ) 60.25", + "Correct": "e", + "Explanation": "distance covered in 2 hrs 15 min i . e . , 2 1 / 4 hrs = 80 * 9 / 4 = 180 hrs . time taken to cover remaining distance = ( 350 - 180 ) / 60 = 17 / 6 hrs = 2 5 / 6 = 2 hrs 50 min total time taken = ( 2 hrs 15 min + 2 hrs 50 min ) = 5 hrs 5 min . so , anna reached city a at 10.25 a . m . answer : e" + }, + { + "Answer": 7.5, + "Options": "a ) 3 minutes , b ) 7.5 minutes , c ) 5 minutes , d ) 6 minutes , e ) 12 minutes", + "Correct": "b", + "Explanation": "\"rate = work / time given rate of machine a = 2 x / 10 min machine b produces 2 x boxes in 10 min hence , machine b produces 2 x boxes in 10 min . rate of machine b = 2 x / 10 we need tofind the combined time that machines a and b , working simultaneouslytakeat their respective constant rates let ' s first find the combined rate of machine a and b rate of machine a = 2 x / 10 min + rate of machine b = 2 x / 10 = 4 x / 10 now combine time = combine work needs to be done / combine rate = 3 x / 4 x * 10 = 7.5 min ans : b\"" + }, + { + "Answer": 70, + "Options": "a ) 50 min , b ) 60 min , c ) 90 min , d ) 80 min , e ) 70 min", + "Correct": "e", + "Explanation": "pipe a can do a work 60 min . lets leakage time is x ; then 1 / 60 - 1 / x = 1 / 420 x = 70 min answer : e" + }, + { + "Answer": 2.5, + "Options": "a ) 1.5 , b ) 2.5 , c ) 3.75 , d ) 5 , e ) 7.5", + "Correct": "b", + "Explanation": "\"lets assume distance to top as x , so the total distance travelled by natasha = 2 x total time taken = 3 + 2 = 5 hrs avg speed = total dist / total time taken = 2 x / 5 avg speed of complete journey is given as = 3 hrs 2 x / 5 = 3 x = 7.5 miles avg speed while climbing = distance / time = 7.5 / 3 = 2.5 option b\"" + }, + { + "Answer": 1.1818181818181817, + "Options": "a ) 2.5 mile , b ) 1.9 mile , c ) 1.7 mile , d ) 1.5 mile , e ) 1.18 mile", + "Correct": "e", + "Explanation": "\"ss - stacy ' s speed = 6 m / hr sh - heather ' s speed = 5 m / hr in 24 minutes stacy will cover = ( 24 / 60 ) * 6 = 2.4 miles now since both are walking in opposite directions , add their speeds - 6 + 5 = 11 m / hr and distance to cover is 5 - 2.4 = 2.6 time taken = distance / speed = 2.6 / 11 = 0.23 hrs heather will cover = 5 * 0.23 = 1.18 miles . answer e\"" + }, + { + "Answer": 38.70967741935484, + "Options": "a ) 31 , b ) 38.7 , c ) 35 , d ) 36 , e ) 39", + "Correct": "b", + "Explanation": "50 * t = 120 therefore t = 120 / 50 = 2.4 on return speed * ( 5.5 - 2.4 ) = 120 therefore t = 120 / 3.1 = 38.70 b" + }, + { + "Answer": 30, + "Options": "a ) 30 , b ) 887 , c ) 167 , d ) 197 , e ) 161", + "Correct": "a", + "Explanation": "\"length of the train be \u2018 x \u2019 x + 180 / 15 = x + 250 / 20 20 x + 3600 = 15 x + 3750 5 x = 150 x = 30 m answer : a\"" + }, + { + "Answer": 6, + "Options": "a ) 6 km , b ) 7 km , c ) 8 km , d ) 9 km , e ) none of these", + "Correct": "a", + "Explanation": "let the distance be x km . then , x / 3 - x / 4 = 1 / 2 ( 4 x - 3 x ) / 12 = 1 / 2 x = 6 km answer : a" + }, + { + "Answer": 4.499640028797696, + "Options": "a ) 5 , b ) 6 , c ) 4.5 , d ) 8 , e ) 9", + "Correct": "c", + "Explanation": "\"speed of train relative to man = 80 + 8 = 88 km / hr . = 88 * 5 / 18 = 220 / 9 m / sec . time taken to pass the men = 110 * 9 / 220 = 4.5 sec . answer : option c\"" + }, + { + "Answer": 3.2142857142857144, + "Options": "a ) 3.2 days , b ) 8 days , c ) 10 days , d ) 12 days , e ) 14 days", + "Correct": "a", + "Explanation": "ifa can complete a work in x days and b can complete the same work in y days , then , both of them together can complete the work in x y / x + y days . that is , the required no . of days = 5 \u00d7 9 / 14 = 3.2 days answer : a" + }, + { + "Answer": 192, + "Options": "a ) 192 , b ) 200 , c ) 196 , d ) 198 , e ) none", + "Correct": "a", + "Explanation": "\"explanation : number 3 in 1 - 100 comes 20 times . 101 - 200 - > 20 times 201 - 300 - > 20 times 301 - 400 - > 120 times 401 - 500 - > 20 times 501 - 600 - > 20 times 601 - 700 - > 20 times 701 - 800 - > 20 times 801 - 900 - > 20 times 901 - 1000 - > 20 times total times : 300 times ( any no . from 1 to 9 except 0 will occur 300 times ) 8 based planet . . then 3 * 8 ( 2 ) + 0 * 8 ( 1 ) + 0 * 8 ( 0 ) = 192 answer : a\"" + }, + { + "Answer": 16, + "Options": "a ) 15 days , b ) 12 days , c ) 16 days , d ) 18 days , e ) 20 days", + "Correct": "c", + "Explanation": "that is , 1 work done = 12 \u00d7 8 \u00d7 10 then , 12 8 \u00d7 10 = ? \u00d7 15 \u00d7 6 ? ( i . e . no . of men required ) = 12 \u00d7 8 \u00d7 10 / 15 \u00d7 6 = 16 days c )" + }, + { + "Answer": 4, + "Options": "a ) 5 : 00 , b ) 4 : 00 , c ) 4 : 10 , d ) 5 : 20 , e ) 6 : 00", + "Correct": "b", + "Explanation": "the faster watch gains 2 minutes per hour the two watches show 10 : 00 at 10 0 ' clock at 11 0 ' clock - the correct watch is at 11 : 00 the faster watch is at 11 : 02 ( 1 hour + gains 2 minutes per hour ) at 12 midnight - the correct watch is at 12 : 00 the faster watch is at 12 : 04 ( 2 hours + gains 4 minutes per 2 hours ) in 6 hours the faster watch gains 6 * 2 = 12 minutes and is at 4 : 12 and the correct watch is at 4 : 00 answer is b" + }, + { + "Answer": 240, + "Options": "a ) 100 , b ) 120 , c ) 240 , d ) 150 , e ) 200", + "Correct": "c", + "Explanation": "kramer can pack 10 boxes per min . therefore in 2 hrs ( 120 mins ) he can pack 120 * 10 = 1200 boxes . if there are 5 boxes in one case then then the total number of cases packed by kramer = 1200 / 5 = 240 answer is c" + }, + { + "Answer": 21, + "Options": "a ) 35 , b ) 56 , c ) 21 , d ) 87 , e ) 24", + "Correct": "c", + "Explanation": "\"the product of two integers is equal to the product of their lcm and gcf . hence . 12 * n = 42 * 6 n = 42 * 6 / 12 = 21 correct answer c\"" + }, + { + "Answer": 230, + "Options": "a ) 200 m , b ) 230 m , c ) 245 m , d ) 250 m , e ) 270 m", + "Correct": "b", + "Explanation": "\"let the length of the bridge : l the equation now is l + 145 / 12.5 m / s ( 45 km / hr or 12.5 m / s ) = 30 solving , l = 230 m answer : b\"" + }, + { + "Answer": 180, + "Options": "a ) 288 , b ) 279 , c ) 277 , d ) 272 , e ) 180", + "Correct": "e", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec length of the train = speed * time = 20 * 9 = 180 m answer : e\"" + }, + { + "Answer": 19, + "Options": "a ) 4 seconds , b ) 25 seconds , c ) 19 seconds , d ) 21 seconds , e ) 6.25 seconds", + "Correct": "c", + "Explanation": "\"their difference is 4 second but this difference is 0 if john allows sam to start the race from 24 m ahead . that means jhon was 24 m away from finishing line when they started together . so he will cover 24 m in 4 seconds . so his speed = 24 / 4 = 6 metre / second . so time taken = 100 / 4 = 25 seconds . so sam took = 19 seconds . correct answer = c\"" + }, + { + "Answer": 19.99840012798976, + "Options": "a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22", + "Correct": "d", + "Explanation": "the speed of the boat downstream = 15 + 3 = 18 km / hr 18 km / hr * 5 / 18 = 5 m / s the time taken to cover 100 meters = 100 / 5 = 20 seconds . the answer is d ." + }, + { + "Answer": 140.00000000000014, + "Options": "a ) 140 , b ) 120 , c ) 130 , d ) 150 , e ) 160", + "Correct": "a", + "Explanation": "let x km / hr be the initial speed of the biker , then his speed during the second part of the trip is x + 2 km / hr . half the distance between two cities equals 23060 \u22c5 x km and 22060 \u22c5 ( x + 2 ) km . from the equation : 23060 \u22c5 x = 22060 \u22c5 ( x + 2 ) we get x = 28 km / hr . the intial speed of the biker is 28 km / h . half the distance between the two towns is 2 h 30 min \u00d7 28 = 2.5 \u00d7 28 = 70 . so the distance is 2 \u00d7 70 = 140 km . answer is a ." + }, + { + "Answer": 375, + "Options": "a ) 100 m , b ) 255 m , c ) 375 m , d ) can not be determined , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : given : speed = 108 kmph = ( 90 x ( 5 / 18 ) ) m / sec = 25 m / sec distance covered in 15 second = ( 25 x 15 ) m = 375 m . answer : c\"" + }, + { + "Answer": 5.454545454545454, + "Options": "a ) 5.5 , b ) 7.1 , c ) 7.2 , d ) 7.0 , e ) 8.0", + "Correct": "a", + "Explanation": "\"pick a number which is lcm of 5 and 6 = 30 . upstream time = 30 / 6 = 5 hrs downstream time = 30 / 5 = 6 hrs total time = 11 hrs total distance = 60 average speed = 60 / 11 = 5.5 km / hr\"" + }, + { + "Answer": 59.999999999999964, + "Options": "a ) 33 , b ) 88 , c ) 60 , d ) 99 , e ) 11", + "Correct": "c", + "Explanation": "\"1 / 10 - 1 / x = 1 / 12 x = 60 answer : c\"" + }, + { + "Answer": 640, + "Options": "a ) 350 m , b ) 240 m , c ) 440 m , d ) 640 m , e ) none of them", + "Correct": "d", + "Explanation": "\"relative speed of the policeman = ( 10 - 8 ) km / hr = 2 km / hr . time taken by police man to cover ( 160 m / 1000 ) x 1 / 2 hr = 2 / 25 hr . in 2 / 25 hr / s , the thief covers a distance of 8 x 2 / 25 km = 16 / 25 km = 640 m answer is d .\"" + }, + { + "Answer": 8.571428571428577, + "Options": "a ) 7.5 , b ) 8.5 , c ) 9.5 , d ) 4.5 , e ) 6.5", + "Correct": "b", + "Explanation": "t = 6 / 42 * 60 = 8.5 answer : b" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 10 hours , b ) 12 hours , c ) 16 hours , d ) 18 hours , e ) 20 hours", + "Correct": "b", + "Explanation": "\"explanation : work done by a in 1 hour = 1 / 4 work done by b and c in 1 hour = 1 / 3 work done by a and c in 1 hour = 1 / 2 work done by a , b and c in 1 hour = ( 1 / 4 ) + ( 1 / 3 ) = 7 / 12 work done by b in 1 hour = ( 7 / 12 ) \u2013 ( 1 / 2 ) = 1 / 12 = > b alone can complete the work in 12 hour option b\"" + }, + { + "Answer": 75, + "Options": "a ) 60 , b ) 70 , c ) g = 75 , d ) g = 80 , e ) 100", + "Correct": "c", + "Explanation": "\"we can also use the concept of man - days here 100 days - - > 10 men so the job includes 100 * 10 = 1000 man - days after 20 days 1 / 4 of job is completed so 1 / 4 x 1000 man - days = 250 man - days job is done now the balance job = 1000 - 250 = 750 man - days worth of job since 2 men are fired so b / l men = 8 therefore total no . of days of job = 750 man - day / 8 days = 375 / 4 = 94 days ( approx . ) now since this is total and ques . is asking for additional no . of days , so 94 - 20 = 74 days the nearest approx . to answer is 75 ans : c ( 75 days )\"" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "d", + "Explanation": "\"m = 12 s = 10 us = 12 - 10 = 2 d = 12 t = 12 / 2 = 6 answer : d\"" + }, + { + "Answer": 142.85714285714286, + "Options": "a ) 300 mph , b ) 150.2 mph , c ) 142.8 mph , d ) 200 mph , e ) 111.01 mph", + "Correct": "c", + "Explanation": "speed from x to y = 1000 / 10 = 100 mph speed from y to x = 1000 / 4 = 250 mph average speed = 2 * 100 * 250 / 350 = 142.8 mph answer is c" + }, + { + "Answer": 3.499720022398208, + "Options": "a ) 3.5 sec , b ) 4.25 sec , c ) 5 sec , d ) 12.5 sec , e ) 6 sec", + "Correct": "a", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 140 / 40 = 3.5 sec . answer : a\"" + }, + { + "Answer": 18, + "Options": "a ) 11 kmph , b ) 12 kmph , c ) 18 kmph , d ) 17 kmph , e ) none of these", + "Correct": "c", + "Explanation": "explanation : speed with current is 20 , speed of the man + it is speed of the current speed in s \u0275 ll water = 20 - 1 = 19 now speed against the current will be speed of the man - speed of the current = 19 - 1 = 18 kmph answer : c" + }, + { + "Answer": 1260, + "Options": "a ) 1230 , b ) 1290 , c ) 1260 , d ) 1240 , e ) 2260", + "Correct": "c", + "Explanation": "\"required l . c . m = l . c . m . of 4 , 5 , 9 , 7 / h . c . f . of 9 , 7 , 13 , 15 = 1260 / 1 = 1260 answer is c\"" + }, + { + "Answer": 324, + "Options": "a ) 234 , b ) 124 , c ) 324 , d ) 452 , e ) 352", + "Correct": "c", + "Explanation": "distance = 3 * 60 + 3 * 48 = 180 + 144 = 324 km answer c ." + }, + { + "Answer": 7.5, + "Options": "a ) 8.7 days , b ) 2.0 days , c ) 6.6 days , d ) 7.5 days , e ) 4.4 days", + "Correct": "d", + "Explanation": "\"c = 1 / 2 - 1 / 6 - 1 / 5 = 2 / 15 = > 7.5 days answer : d\"" + }, + { + "Answer": 288, + "Options": "a ) 268 , b ) 262 , c ) 300 , d ) 288 , e ) 250", + "Correct": "d", + "Explanation": "\"change 1 hr 52 min to 112 min . for this , we need to set up a simple proportion of staplers per time 72 / 28 = s / 112 . the absolutely worst thing you could do at this point in the problem is to cross - multiply . that would be a supremely unstrategic move . we can cancel the common factor of 28 in the two denominators . 72 / 28 * 28 = s / 112 * 28 72 / 1 = s / 4 s = 4 * 72 s = 288 the machine would be 288 staplers in 1 hr 52 min . answer : d\"" + }, + { + "Answer": 20, + "Options": "a ) 145 , b ) 5617 , c ) 15 , d ) 20 , e ) 12", + "Correct": "d", + "Explanation": "\"speed ratio = 1 : 4 / 5 = 5 : 4 time ratio = 4 : 51 - - - - - - - - 5 4 - - - - - - - - - ? \u00e8 20 answer : d\"" + }, + { + "Answer": 6, + "Options": "a ) 10 hrs , b ) 2 hrs , c ) 3 hrs , d ) 5 hrs , e ) 6 hrs", + "Correct": "e", + "Explanation": "time = distance / speed = 30 / 5 = 6 hours . answer is e" + }, + { + "Answer": 2, + "Options": "a ) 2 / 1 , b ) 1 / 2 , c ) 1 / 3 , d ) 4 / 1 , e ) 1 / 4", + "Correct": "a", + "Explanation": "\"lets say tim types x pages an hour and tom types y pages an hour . we know that x + y = 12 tom increase speed by 25 % means he will type 1.25 y pages an hour . so we get x + 1.25 y = 14 we need to know the ratio of tom ' s speed to tim ' s speed . this is going to be proportional to the number of pages each can type in an hour , hence ( y / x ) . subtracting both : 0.25 y = 2 so y = 8 . . . so x = 4 ( y / x ) = 8 / 4 = 2 / 1 answer is ( a )\"" + }, + { + "Answer": 200, + "Options": "a ) 200 , b ) 150 , c ) 160 , d ) 170 , e ) 180", + "Correct": "a", + "Explanation": "\"l . c . m of two numbers is given by ( product of the two numbers ) / ( h . c . f of the two numbers ) = 1800 / 9 = 200 . answer : a\"" + }, + { + "Answer": 4, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", + "Correct": "c", + "Explanation": "\"39 = 19 + 18 + 12 - 2 - 2 x 2 x = 19 + 18 + 12 - 2 - 39 = 45 - 37 = 8 x = 4 c\"" + }, + { + "Answer": 12, + "Options": "a ) 12 kmph , b ) 13 kmph , c ) 22 kmph , d ) 20 kmph , e ) 15 kmph", + "Correct": "a", + "Explanation": "speed upstream = 27 / 9 = 3 kmph speed down stream = 81 / 3 = 27 kmph speed of stream = \u00bd ( 27 - 3 ) = 12 kmph answer : a" + }, + { + "Answer": 5, + "Options": "a ) 5 , b ) 7 , c ) 8 , d ) 12 , e ) 14", + "Correct": "a", + "Explanation": "if runner 1 is going north and runner 2 is going east they are like two sides of a 90 degree triangle . side 1 = 8 m / h - - > 4 m in 1 / 2 hr side 2 = 6 m / h - - > 3 m in 1 / 2 hr to complete this right angle triangle d ^ 2 = 4 ^ 2 + 3 ^ 2 d ^ 2 = 25 = 5 answer option a" + }, + { + "Answer": 230, + "Options": "a ) 76 m , b ) 178 m , c ) 230 m , d ) 187 m , e ) 176 m", + "Correct": "c", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 145 + x ) / 30 = 25 / 2 = > 2 ( 145 + x ) = 750 = > x = 230 m . answer : c\"" + }, + { + "Answer": 26, + "Options": "a ) 10 , b ) 13 , c ) 26 , d ) 15 , e ) 16", + "Correct": "c", + "Explanation": "\"let the required number of days be x . less persons , more days ( indirect proportion ) more working hours per day , less days ( indirect proportion ) persons 30 : 78 : : 12 : x working hours / day 6 : 5 30 x 6 x x = 78 x 5 x 12 x = ( 78 x 5 x 12 ) / ( 30 x 6 ) x = 26 . answer : c\"" + }, + { + "Answer": 976.3779527559055, + "Options": "a ) 990.4 , b ) 970 , c ) 972 , d ) 976.4 , e ) 975", + "Correct": "d", + "Explanation": "\"1 inch = 2.54 cm 2.5 inch = 2.54 * 2.5 cm 6.35 cm = 40 miles 155 cms = 40 / 6.35 * 155 = 976.4 miles answer : d\"" + }, + { + "Answer": 20, + "Options": "a ) 26 kmph , b ) 20 kmph , c ) 28 kmph , d ) 30 kmph , e ) 40 kmph", + "Correct": "b", + "Explanation": "\"120 * 10 / 60 = 20 kmph answer : b\"" + }, + { + "Answer": 168, + "Options": "a ) 168 , b ) 144 , c ) 175 , d ) 216 , e ) 250", + "Correct": "a", + "Explanation": "\"total paint initially = 360 gallons paint used in the first week = ( 1 / 3 ) * 360 = 120 gallons . remaning paint = 240 gallons paint used in the second week = ( 1 / 5 ) * 240 = 48 gallons total paint used = 168 gallons . option a\"" + }, + { + "Answer": 100, + "Options": "a ) 287 , b ) 100 , c ) 125 , d ) 988 , e ) 271", + "Correct": "b", + "Explanation": "\"3 x * 2 x = 2400 = > x = 20 2 ( 60 + 40 ) = 200 m 200 * 1 / 2 = rs . 100 answer : b\"" + }, + { + "Answer": 4, + "Options": "a ) 6 hours , b ) 8.75 hours , c ) 12 hours , d ) 4 hours , e ) 16 hours", + "Correct": "d", + "Explanation": "\"let each machine do 1 unit of work for 1 hour 8 machines - - > 8 units of work in 1 hour for 6 hours = 8 * 6 = 48 units of total work is done . now this 48 units of total work must be done by 3 machines 12 units of work ( 12 machines ) - - - > 1 hour for 48 units of work 12 * 4 - - - > 1 * 4 hours d 4 hours\"" + }, + { + "Answer": 8, + "Options": "a ) 8 pm , b ) 6 am , c ) 7 am , d ) 10 am , e ) 8 am", + "Correct": "e", + "Explanation": "\"time of meeting = distance / relative speed = 25 / 13 + 12 = 25 / 25 = 1 hr after 7 pm = 8 am answer is e\"" + }, + { + "Answer": 33, + "Options": "a ) 30 days , b ) 31 days , c ) 33 days , d ) 41 days , e ) 52 days", + "Correct": "c", + "Explanation": "let a takes x days to complete the work , then b takes x / 2 days and c takes 3 x / 2 days to complete the work . a , b and c together complete the work in 18 days in 1 day , all they together can do = > 1 / x + 2 / x + 2 / 3 x = 1 / 18 3 + 6 + 2 / 3 x = 1 / 18 3 x 23 x 2 = 18 x = 66 days the number of days b alone takes to finish the work = x / 2 = 33 days c" + }, + { + "Answer": 15, + "Options": "a ) 12 days , b ) 16 days , c ) 15 days , d ) 17 days , e ) 18 days", + "Correct": "c", + "Explanation": "\"lcm = 60 , ratio = 60 : 20 = 3 : 1 no of days = 60 / ( 3 + 1 ) = 90 / 4 = 15 days answer : c\"" + }, + { + "Answer": 6, + "Options": "a ) 8 hours , b ) 6 hours , c ) 9 hours , d ) 7 hours 12 minutes , e ) none", + "Correct": "b", + "Explanation": "explanation : time = 90 * 3 / 45 = 6 hours answer \u00e2 \u20ac \u201c b" + }, + { + "Answer": 8, + "Options": "a ) 18 kmph , b ) 6 kmph , c ) 8 kmph , d ) 10 kmph , e ) 12 kmph", + "Correct": "c", + "Explanation": "\"the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 24 / 3 = 8 kmph . answer : c\"" + }, + { + "Answer": 1440, + "Options": "a ) 7580 , b ) 7960 , c ) 8290 , d ) 1440 , e ) none", + "Correct": "d", + "Explanation": "\"solution work done by the inlet in 1 hour = ( 1 / 3 - 1 / 12 ) = 1 / 4 work done by the inlet in 1 min . = ( 1 / 4 \u00d7 1 / 60 ) = 0.004167 volume of 0.004167 part = 6 litres . therefore , volume of whole = 0.004167 x 6 \u2039 = \u203a 1440 litres . answer d\"" + }, + { + "Answer": 300, + "Options": "a ) 500 , b ) 400 , c ) 300 , d ) 200 , e ) 100", + "Correct": "c", + "Explanation": "the distance boatman travel to cross the river = 50 * 10 = 500 m he sell the boat diagonally . so height = 400 m , base be x and hypotenuse = 500 m so by pythagoras theorem , square of 400 + square of x = square of 500 so , square of x = 250000 - 160000 x = \u00e2 \u02c6 \u0161 250000 - 160000 , x = \u00e2 \u02c6 \u0161 90000 = 300 drift = 300 m answer c" + }, + { + "Answer": 45, + "Options": "a ) 45 minutes , b ) 50 minutes , c ) 55 minutes , d ) 60 minutes , e ) none of these", + "Correct": "a", + "Explanation": "speed of train = 87 kmph and distance it covers is 348 km . time taken to cover the distance = distance / speed = 348 / 87 = 4 hours . but total time taken by train to reach destination is = 1 : 45 pm \u2013 9 a . m = 4 hours 45 minutes . time of halt = total time \u2013 take taken without halt = 4 hours 45 minutes \u2013 4 hours = 45 minutes a )" + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 4 m , b ) 5 m , c ) 6 m , d ) 7 m , e ) 8 m", + "Correct": "c", + "Explanation": "\"explanation : let width = x then , height = 4 x and length = 12 x 12 x \u00e3 \u2014 4 x \u00e3 \u2014 x = 10368 x = 6 answer : c\"" + }, + { + "Answer": 8960, + "Options": "a ) 6000 , b ) 8000 , c ) 8960 , d ) 2000 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : number of bricks = courtyard area / 1 brick area = ( 2400 \u00e3 \u2014 1400 / 25 \u00e3 \u2014 15 ) = 8960 option c\"" + }, + { + "Answer": 11.999040076793857, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", + "Correct": "b", + "Explanation": "speed = 54 * 5 / 18 = 15 m / s time = 180 / 15 = 12 seconds the answer is b ." + }, + { + "Answer": 180, + "Options": "a ) 63 , b ) 72 , c ) 144 , d ) 180 , e ) 400", + "Correct": "d", + "Explanation": "\"20 typists can type 40 letters , so 30 typists can type = 40 * 30 / 20 40 * 30 / 20 letters can be typed in 20 mins . in 60 mins typist can type = 40 * 30 * 60 / 20 * 20 = 180 d is the answer\"" + }, + { + "Answer": 19.333333333333332, + "Options": "a ) 24 hrs , b ) 16 hrs , c ) 56 / 3 hrs , d ) 58 / 3 hrs , e ) 18 hrs", + "Correct": "d", + "Explanation": "expl : time taken to carry 2 nd person = 300 / 50 = 6 hrs . time taken to meet 3 rd person = ( 300 - 6 * 10 ) / ( 50 + 10 ) = 4 hrs time taken to carry 3 rd person = 4 hours time taken to meet 4 th person = ( 300 \u2013 140 ) / 60 = 8 / 3 total time = 6 + 4 + 4 + 8 / 3 + 8 / 3 = 58 / 3 hours answer : d" + }, + { + "Answer": 11076.923076923076, + "Options": "a ) 16000 , b ) 18078 , c ) 11076 , d ) 11456 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : number of bricks = courtyard area / 1 brick area = ( 1800 \u00e3 \u2014 1200 / 15 \u00e3 \u2014 13 ) = 11076 option c\"" + }, + { + "Answer": 30, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 16 , e ) 30", + "Correct": "e", + "Explanation": "\"let the speed be x . . . so time taken from home to grocery = 840 / x . . the speed to gym = 2 x . . so time taken = 480 / 2 x = 240 / x . . its given 840 / x - 240 / x = 40 . . 600 / x = 40 . . x = 15 m / secs . . so grocery to gym = 2 * 15 = 30 m / s . . . e\"" + }, + { + "Answer": 95, + "Options": "a ) 827 cm 2 , b ) 216 cm 2 , c ) 95 cm 2 , d ) 80 cm 2 , e ) 176 cm 2", + "Correct": "c", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 5 ) = 95 cm 2 answer : c\"" + }, + { + "Answer": 11, + "Options": "a ) 8 , b ) 5 , c ) 9 , d ) 6 , e ) 11", + "Correct": "e", + "Explanation": "at $ 3 per hour up to 40 hours , regular pay = $ 3 x 40 = $ 120 if total pay = $ 168 , overtime pay = $ 186 - $ 120 = $ 66 overtime rate ( twice regular ) = 2 x $ 3 = $ 6 per hour = > number of overtime hours = $ 66 / $ 6 = 11 ans is e" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "a", + "Explanation": "let rate of one worker be r = > ( 6 * r ) * 8 = 1 ( rate * time = work ) = > r = 1 / 48 = > work remaining after 3 days 1 - ( 3 * 6 ) / 48 = 30 / 48 after 4 ppl joined in ( ( 6 + 4 ) * time ) / 48 = 30 / 48 time c = 3 days to finish the task imo a" + }, + { + "Answer": 1.2000000000000002, + "Options": "a ) 1 / 5 , b ) 29 / 35 , c ) 5 / 6 , d ) 35 / 29 , e ) 35 / 12", + "Correct": "d", + "Explanation": "now d should be the answer . q need 5 hours to complete and b needs 7 hours to compete so 2 q + 3 b will complete 2 / 5 + 3 / 7 or 29 / 35 portion of the job in 1 hour so the whole job will take 35 / 29 hours . . . . = d" + }, + { + "Answer": 45, + "Options": "a ) 25 , b ) 35 , c ) 45 , d ) 55 , e ) 65", + "Correct": "c", + "Explanation": "\"number of pieces = 3825 / 85 = 45 the answer is c .\"" + }, + { + "Answer": 15, + "Options": "a ) 12 th , b ) 13 th , c ) 14 th , d ) 15 th , e ) 16 th", + "Correct": "d", + "Explanation": "5.6 km / 350 m = 16 . however , the street at the 5.6 - km mark is not 16 th street ; it is howe street . therefore , the highest numbered street is 15 th street . the answer is d ." + }, + { + "Answer": 8, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 8", + "Correct": "e", + "Explanation": "\"suppose they meet x hours after 7 a . m . distance covered by a in x hours = 20 x km . distance covered by b in ( x - 1 ) hours = 25 ( x - 1 ) km . therefore 20 x + 25 ( x - 1 ) = 20 45 x = 45 x = 1 . so , they meet at 8 a . m . answer : option e\"" + }, + { + "Answer": 9, + "Options": "a ) 4.1 , b ) 4.5 , c ) 4.8 , d ) 5.4 , e ) 9", + "Correct": "e", + "Explanation": "\"speed = 1800 / ( 12 x 60 ) m / sec = 2.5 m / sec . converting m / sec to km / hr = 2.5 x ( 18 / 5 ) km / hr = 9 km / hr . answer : e\"" + }, + { + "Answer": 0.6428571428571429, + "Options": "a ) 1 / 2 , b ) 5 / 8 , c ) 9 / 14 , d ) 16 / 21 , e ) 9 / 10", + "Correct": "c", + "Explanation": "\"number of hours between 8 pm to 8 am = 12 number of hours with reduced rates = ( 12 * 5 ) + ( 24 * 2 ) hours with reduced rates c / total number of hours in a week = ( 12 * 5 ) + ( 24 * 2 ) / ( 24 * 7 ) = 108 / ( 24 * 7 ) = 9 / 14 answer : c\"" + }, + { + "Answer": 17.5, + "Options": "a ) 5 . , b ) 10 . , c ) 14 . , d ) 15 . , e ) 17.5", + "Correct": "e", + "Explanation": "time is in the ratio 2 : 1 : : to : fro office therefore , 2 x + 1 x = 6 hrs time take to come back - 2 hrs , distance travelled - 35 km = > speed = 17.5 kmph e" + }, + { + "Answer": 50.395968322534195, + "Options": "a ) 41.1 sec , b ) 20.2 sec , c ) 31.8 sec , d ) 50.4 sec , e ) none of the above", + "Correct": "d", + "Explanation": "\"speed = 55 km / hr ( to convert km / hr in to m / s ) = 55 x 5 / 18 m / s distance = 250 m + 520 m ( if questions is about train crossing a post you need to consider only the length of train , ) = 770 m time = distance / speed = 770 x 18 / ( 5 x 55 ) = 50.4 sec ans is : d\"" + }, + { + "Answer": 36, + "Options": "a ) 46 , b ) 36 , c ) 18 , d ) 22 , e ) 23", + "Correct": "b", + "Explanation": "explanation : distance to be covered = 240 + 120 = 360 m relative speed = 36 km / hr = 36 \u00d7 10 / 36 = 10 m / s time = distance / speed = 360 / 10 = 36 seconds answer : option b" + }, + { + "Answer": 6, + "Options": "a ) 4 hours , b ) 5 hours , c ) 6 hours , d ) 7 hours , e ) 8 hours", + "Correct": "c", + "Explanation": "explanation : it is very important to check , if the boat speed given is in still water or with water or against water . because if we neglect it we will not reach on right answer . i just mentioned here because mostly mistakes in this chapter are of this kind only . lets see the question now . speed downstream = ( 16 + 5 ) = 21 kmph time = distance / speed = 126 / 21 = 6 hours option c" + }, + { + "Answer": 5, + "Options": "a ) 4 kmph , b ) 5 kmph , c ) 6 kmph , d ) 7 kmph , e ) none of these", + "Correct": "b", + "Explanation": "explanation : rate upstream = ( 750 / 675 ) = 10 / 9 m / sec rate downstream ( 750 / 450 ) m / sec = 5 / 3 m / sec rate in still water = ( 1 / 2 ) * [ ( 10 / 9 ) + ( 5 / 3 ) ] m / sec . = 25 / 18 m / sec = ( 25 / 18 ) * ( 18 / 5 ) kmph = 5 kmph answer : b" + }, + { + "Answer": 2100, + "Options": "a ) rs . 1200 , b ) rs . 1500 , c ) rs . 2100 , d ) rs . 2000 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : ratio of working days of a : b = 10 : 15 therefore , their wages ratio = reverse ratio = 15 : 10 therefore , a will get 15 units of ratio total ratio = 25 1 unit of ratio = 3500 / 25 = 140 so , a \u2019 s amount = 120 \u00d7 15 = rs . 2100 . answer : option c\"" + }, + { + "Answer": 175, + "Options": "a ) 287 , b ) 1287 , c ) 125 , d ) 988 , e ) 175", + "Correct": "e", + "Explanation": "\"3 x * 2 x = 7350 = > x = 35 2 ( 105 + 70 ) = 350 m 350 * 1 / 2 = rs . 175 answer : e\"" + }, + { + "Answer": 27, + "Options": "a ) 33 , b ) 88 , c ) 27 , d ) 88 , e ) 99", + "Correct": "c", + "Explanation": "\"4 / 3 \u03c0 * 3 * 3 * 3 = 4 / 3 \u03c0 * 1 * 1 * 1 * x x = 27 answer : c\"" + }, + { + "Answer": 11.895652173913044, + "Options": "a ) 10.7 sec , b ) 2.7 sec , c ) 11.9 sec , d ) 12.7 sec , e ) 25.7 sec", + "Correct": "c", + "Explanation": "\"explanation : d = 190 m + 190 m = 380 m rs = 65 + 50 = 115 * 5 / 18 = 319 / 10 t = 380 * 10 / 319 = 11.9 sec answer : option c\"" + }, + { + "Answer": 105, + "Options": "a ) 288 , b ) 190 , c ) 188 , d ) 188 , e ) 105", + "Correct": "e", + "Explanation": "\"l = s * t s = 600 / 60 s = 10 m / sec . total length ( d ) = 1050 m t = d / s t = 1050 / 10 t = 105 sec answer : e\"" + }, + { + "Answer": 87.5, + "Options": "a ) 87.0 , b ) 87.5 , c ) 87.2 , d ) 87.1 , e ) 87.4", + "Correct": "b", + "Explanation": "speed and time are inversely proportional ( when distance is constant ) \u21d2 speed \u221d 1 time ( when distance is constant ) here distance is constant and hence speed and time are inversely proportionalspeed \u221d 1 time \u21d2 speed 1 speed 2 = time 2 time 1 \u21d2 78 = 4 time 1 \u21d2 time 1 = 4 \u00d7 87 hr \u21d2 speed of the first train = distancetime 1 = 400 ( 4 \u00d7 87 ) = 100 \u00d7 78 = 12.5 \u00d7 7 = 87.5 km / hr answer : b" + }, + { + "Answer": 7200, + "Options": "['a ) 7207', 'b ) 7206', 'c ) 7203', 'd ) 7200', 'e ) 7201']", + "Correct": "d", + "Explanation": "area of plot abcd = area of ade + area of afb + area of bcef = 1 / 2 * 50 * 120 + 1 / 2 * 40 * 30 + 40 * 90 = 3000 + 600 + 3600 = 7200 sq . m answer : d" + }, + { + "Answer": 2.856914303998537, + "Options": "a ) 8.5 seconds , b ) 2.86 seconds , c ) 3.5 seconds , d ) 2.5 seconds , e ) 2.6 seconds", + "Correct": "b", + "Explanation": "\"first convert speed into m / sec speed = 126 * ( 5 / 18 ) = 35 m / sec time = distance / speed = 100 / 35 = 2.86 seconds answer : b\"" + }, + { + "Answer": 11.159107271418288, + "Options": "a ) 15.8 sec . , b ) 12.8 sec . , c ) 11.16 sec . , d ) 10.8 sec . , e ) 08.8 sec .", + "Correct": "c", + "Explanation": "\"relative speed = ( 60 + 40 ) km / hr = 100 x 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = ( 140 + 170 ) m = 310 m . required time = 310 x 9 / 250 = 11.16 sec . answer c\"" + }, + { + "Answer": 20000, + "Options": "a ) 16000 , b ) 18000 , c ) 20000 , d ) 22000 , e ) 24000", + "Correct": "c", + "Explanation": "\"explanation : number of bricks = courtyard area / 1 brick area = ( 2500 \u00d7 160020 \u00d7 10 ) = 20000 answer : option c\"" + }, + { + "Answer": 81.996, + "Options": "a ) 82 kmph , b ) 76 kmph , c ) 44 kmph , d ) 58 kmph , e ) 56 kmph", + "Correct": "a", + "Explanation": "explanation : total distance = 108 + 112 = 220 m time = 6 s relative speed = distance / time = 220 / 6 m / s = 110 / 3 m / s = ( 110 / 3 ) \u00d7 ( 18 / 5 ) km / hr = 132 km / hr = > 50 + speed of second train = 132 km / hr = > speed of second train = 132 - 50 = 82 km / hr answer : option a" + }, + { + "Answer": 15.5, + "Options": "a ) 15.5 minutes , b ) 31 minutes , c ) 35 minutes , d ) 62 minutes , e ) 93 minutes", + "Correct": "a", + "Explanation": "\"danny ' s time is 31 minutes . the time to reach halfway is 15.5 minutes . steve ' s time is 62 minutes . the time to reach halfway is 31 minutes . the time difference is 31 - 15.5 = 15.5 minutes the answer is a .\"" + }, + { + "Answer": 0.2222222222222222, + "Options": "a ) 2 / 5 , b ) 1 / 6 , c ) 1 / 4 , d ) 1 / 9 , e ) 2 / 9", + "Correct": "e", + "Explanation": "\"a ' s one day ' s work = 1 / 30 b ' s one day ' s work = 1 / 45 ( a + b ) ' s one day ' s work = 1 / 30 + 1 / 45 = 1 / 18 the part of the work completed in 4 days = 4 ( 1 / 18 ) = 2 / 9 . answer e\"" + }, + { + "Answer": 20, + "Options": "a ) 12 , b ) 15 , c ) 18 , d ) 20 , e ) 25", + "Correct": "d", + "Explanation": "this is a very specific format that has appeared in a handful of real gmat questions , and you may wish to learn to recognize it : here we have a * fixed * distance , and we are given the difference between the times and speeds of two things that have traveled that distance . this is one of the very small number of question formats where backsolving is typically easier than solving directly , since the direct approach normally produces a quadratic equation . say team e ' s speed was s . then team e ' s time is 300 / s . team a ' s speed was then s + 5 , and team a ' s time was then 300 / ( s + 5 ) . we need to find an answer choice for s so that the time of team a is 3 less than the time of team e . that is , we need an answer choice so that 300 / ( s + 5 ) = ( 300 / s ) - 3 . you can now immediately use number properties to zero in on promising answer choices : the times in these questions will always work out to be integers , and we need to divide 300 by s , and by s + 5 . so we want an answer choice s which is a factor of 300 , and for which s + 5 is also a factor of 300 . so you can rule out answers a and c immediately , since s + 5 wo n ' t be a divisor of 300 in those cases ( sometimes using number properties you get to the correct answer without doing any other work , but unfortunately that ' s not the case here ) . testing the other answer choices , if you try answer d , you find the time for team e is 15 hours , and for team a is 12 hours , and since these differ by 3 , as desired , d is correct ." + }, + { + "Answer": 1800, + "Options": "a ) 1600 , b ) 1700 , c ) 1800 , d ) 1900 , e ) 2000", + "Correct": "c", + "Explanation": "36 kmph = 10 m / sec d = 10 * 180 = 1800 meters answer : c" + }, + { + "Answer": 32, + "Options": "a ) 50 kmph , b ) 60 kmph , c ) 32 kmph , d ) 80 kmph , e ) 90 kmph", + "Correct": "c", + "Explanation": "time = 6 distence = 288 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 288 / 9 = 32 kmph c" + }, + { + "Answer": 350, + "Options": "a ) 299 , b ) 277 , c ) 350 , d ) 270 , e ) 281", + "Correct": "c", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec . time = 30 sec . let the length of the train be x meters . then , ( x + 250 ) / 30 = 20 x = 350 m . answer : c\"" + }, + { + "Answer": 62, + "Options": "a ) 66.4 % , b ) 61.4 % , c ) 77.4 % , d ) 65 % , e ) 53.9 %", + "Correct": "b", + "Explanation": "\"for x , 60 % of 59 % will work . for y , 40 % of 65 % will work . * 40 % is the rest of the bulb supply in the market . so , the probability that a purchased bulb will work is : 0.60 ( 0.59 ) = . 354 0.40 ( 0.65 ) = 0.26 the combined probability then is 35.4 + 26.00 = 61.4 % ans b\"" + }, + { + "Answer": 108, + "Options": "a ) 109 , b ) 108 , c ) 109 , d ) 106 , e ) 101", + "Correct": "b", + "Explanation": "\"s = 180 / 6 * 18 / 5 = 108 kmph answerb\"" + }, + { + "Answer": 18, + "Options": "a ) 12 days , b ) 18 days , c ) 24 days , d ) 30 days , e ) none of these", + "Correct": "b", + "Explanation": "explanation : a + b = c + d | | | | ratio of efficiency 10 x + 5 x 9 x + 6 x | ________| | _________| 15 x 15 x therefore , ratio of efficiency of a : c = 10 : 9 therefore , ratio of days taken by a : c = 9 : 10 therefore , number of days taken by a = 18 days answer : b" + }, + { + "Answer": 20, + "Options": "a ) a ) 40 , b ) b ) 30 , c ) c ) 20 , d ) d ) 10 , e ) e ) 5", + "Correct": "c", + "Explanation": "\"explanation : t = 16 / 48 * 60 = 20 answer : option c\"" + }, + { + "Answer": 960, + "Options": "['a ) 360', 'b ) 480', 'c ) 720', 'd ) 960', 'e ) 1000']", + "Correct": "d", + "Explanation": "d 15 ants move 600 / 5 = 120 sugar cubes of 10 grams in 1 hour . 5 grams sugar cubes will take less time to move . thus if weight of the sugar cube is 5 grams , 15 ants will move 120 x 10 / 5 = 240 sugar cubes in 1 hour . more ants , more sugar cubes they can move . 20 ants will move 240 x 20 / 15 = 320 sugar cubes in 1 hour thus in 3 hours , 20 ants will move 320 x 3 = 960 sugar cubes of 5 grams ." + }, + { + "Answer": 45.99728021758259, + "Options": "a ) 19 , b ) 27 , c ) 29 , d ) 46 , e ) 28", + "Correct": "d", + "Explanation": "\"let the length of the train be x m . when a train crosses an electric pole , the distance covered is its own length . so , x = 12 * 36 * 5 / 18 m = 120 m . time taken to cross the platform = ( 120 + 340 ) / 36 * 5 / 18 = 46 min . answer : d\"" + }, + { + "Answer": 265, + "Options": "a ) 265 , b ) 288 , c ) 245 , d ) 776 , e ) 232", + "Correct": "a", + "Explanation": "speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 110 + x ) / 30 = 25 / 2 = = > 2 ( 110 + x ) = 750 = = > x = 265 m . answer : a" + }, + { + "Answer": 13.125, + "Options": "a ) 15.5 , b ) 12.3 , c ) 10.5 , d ) 10.12 , e ) 13.12", + "Correct": "e", + "Explanation": "\"due to stoppages , it covers 14 km less . time taken to cover 14 km = ( ( 14 / 64 ) \u00e3 \u2014 60 ) = 13.12 min . option ( e ) is correct\"" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 8 hours , b ) 10 hours , c ) 12 hours , d ) 24 hours , e ) none of the above", + "Correct": "c", + "Explanation": "\"a ' s 1 hour ' s work = 1 / 4 ; ( b + c ) ' s 1 hour ' s work = 1 / 3 ; ( b + c ) ' s 1 hour ' s work = 1 / 2 ( a + b + c ) ' s 1 hour ' s work = ( 1 / 4 + 1 / 3 ) = 7 / 12 b ' s 1 hour ' s work = ( 7 / 12 - 1 / 2 ) = 1 / 12 b alone will take 12 hours to do the work . answer = c\"" + }, + { + "Answer": 3672, + "Options": "a ) 60 , b ) 61.2 , c ) 62.5 , d ) 3,600 , e ) 3,672", + "Correct": "e", + "Explanation": "\"moon revolves around the earth at a speed of 1.02 kilometers per second . one hour equal to 60 minutes . one minute equals to 60 seconds . so one hour equals to 3600 seconds . so one hour , speed = 1.02 * 3600 = 3672 kilometers per hour . option e is correct\"" + }, + { + "Answer": 200, + "Options": "a ) 100 min , b ) 150 min , c ) 200 min , d ) 250 min , e ) 300 min", + "Correct": "c", + "Explanation": "\"let the slower pipe alone fill the tank in x minutes then , faster pipe will fill it in x / 4 minutes 1 / x + 4 / x = 1 / 40 5 / x = 1 / 40 x = 200 min answer is c\"" + }, + { + "Answer": 1.3333333333333335, + "Options": "a ) 3 / 2 , b ) 4 / 3 , c ) 5 / 4 , d ) 6 / 5 , e ) 8 / 7", + "Correct": "b", + "Explanation": "\"the combined rate is 1 / 4 + 1 / 3 + 1 / 6 = 9 / 12 of the job per hour . the time to complete the job is 12 / 9 = 4 / 3 hours . the answer is b .\"" + }, + { + "Answer": 4, + "Options": "a ) 5 hours , b ) 4 hours , c ) 3 hours , d ) 2 hours , e ) 1 hour", + "Correct": "b", + "Explanation": "10 * 6 = 15 * x x = 4 answer : b" + }, + { + "Answer": 1250, + "Options": "a ) 1280 , b ) 1250 , c ) 1320 , d ) 1340 , e ) 1350", + "Correct": "b", + "Explanation": "speed = 5 km / hr time = 15 minutes = 1 / 4 hour length of the bridge = distance travelled by the man = speed \u00d7 time = 5 \u00d7 1 / 4 km = 5 \u00d7 ( 1 / 4 ) \u00d7 1000 metre = 1250 metre answer is b" + }, + { + "Answer": 215, + "Options": "a ) 200 m , b ) 215 m , c ) 245 m , d ) 250 m , e ) 270 m", + "Correct": "b", + "Explanation": "\"let the length of the bridge : l the equation now is l + 160 / 12.5 m / s ( 45 km / hr or 12.5 m / s ) = 30 solving , l = 215 m answer : b\"" + }, + { + "Answer": 9, + "Options": "a ) 6 minutes , b ) 9 minutes , c ) 45 minutes , d ) 3 minutes , e ) 4 minutes", + "Correct": "b", + "Explanation": "if pipe b is turned off after x mins , then ( 2 * 30 ) / 75 + x / 45 = 1 x / 45 = 1 - 60 / 75 = 1 / 5 x = 45 / 5 = 9 mins answer : b" + }, + { + "Answer": 68, + "Options": "a ) 65 , b ) 68 , c ) 61 , d ) 55 , e ) 74", + "Correct": "b", + "Explanation": "\"34 * 40 = 20 * x x = 68 days answer : b\"" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 12 , e ) 14", + "Correct": "d", + "Explanation": "lets suppose anne and bruce take a and b hrs working separately so in 1 hour they can together finish 1 / a + 1 / b portion of the work which equals 1 / 4 ( as the work is completed in 4 hours ) after anne doubles her rate of work the portion completed by the both is 1 / a + 2 / b which is equal to 1 / 3 ( as the work is completed in e = 3 hours ) solving these 2 equations we can find b as 12 so , d" + }, + { + "Answer": 0.5, + "Options": "a ) 0.1 , b ) 0.5 , c ) 1 , d ) 1.2 , e ) 2", + "Correct": "b", + "Explanation": "\"option b 20 + 10 t = 50 t t = 0.5\"" + }, + { + "Answer": 70, + "Options": "a ) 20 hr , b ) 52 hr , c ) 70 hr , d ) 66 hr , e ) 48 hr", + "Correct": "c", + "Explanation": "\"suppose pipe a alone take x hours to fill the tank then pipe b and c will take x / 2 and x / 4 hours respectively to fill the tank . 1 / x + 2 / x + 4 / x = 1 / 10 7 / x = 1 / 10 x = 70 hours answer is c\"" + }, + { + "Answer": 900, + "Options": "a ) $ 50 , b ) $ 40 , c ) $ 60 , d ) $ 100 , e ) $ 900", + "Correct": "e", + "Explanation": "\"rahul ' s wages : rajesh ' s wages = 1 / 3 : 1 / 2 = 2 : 3 rahul ' s share = 2250 * 2 / 5 = $ 900 answer is e\"" + }, + { + "Answer": 220, + "Options": "a ) 36 , b ) 66 , c ) 132 , d ) 264 , e ) 220", + "Correct": "e", + "Explanation": "20 * 396 = 36 * x x = 220 answer : e" + }, + { + "Answer": 250.00000000000003, + "Options": "a ) 187 m , b ) 250 m , c ) 876 m , d ) 150 m , e ) 267 m", + "Correct": "b", + "Explanation": "\"speed = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec length of the train = ( speed x time ) = ( 50 / 3 * 15 ) m = 250 m . answer : b\"" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "d", + "Explanation": "\"due to stoppages , it covers 40 km less . time taken to cover 40 km = 40 \u00e2 \u0081 \u201e 400 h = 1 \u00e2 \u0081 \u201e 10 h = 1 \u00e2 \u0081 \u201e 10 \u00e3 \u2014 60 min = 6 min answer d\"" + }, + { + "Answer": 5.0004, + "Options": "a ) 10 mps , b ) 06 mps , c ) 09 mps , d ) 05 mps , e ) 11 mps", + "Correct": "d", + "Explanation": "d 5 mps 18 * 5 / 18 = 5 mps" + }, + { + "Answer": 14, + "Options": "a ) 17 sec , b ) 16 sec , c ) 18 sec , d ) 14 sec , e ) 12 sec", + "Correct": "d", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec time taken = 280 * 1 / 20 = 14 sec answer : d\"" + }, + { + "Answer": 11, + "Options": "a ) 3 , b ) 11 , c ) 8 , d ) 9 , e ) 10", + "Correct": "b", + "Explanation": "\"solution speed in still water = 1 / 2 ( 16 + 6 ) kmph . = 11 kmph . answer b\"" + }, + { + "Answer": 13.884603517432893, + "Options": "a ) 12.7 sec , b ) 13.9 sec , c ) 18.1 sec , d ) 17.1 sec , e ) 19.7 sec", + "Correct": "b", + "Explanation": "\"speed = 70 * 5 / 18 = 19.4 m / sec total distance covered = 120 + 150 = 270 m . required time = 270 / 19.4 ' = 13.9 sec . answer : b\"" + }, + { + "Answer": 100, + "Options": "a ) 500 , b ) 400 , c ) 300 , d ) 200 , e ) 100", + "Correct": "e", + "Explanation": "2 ( l + 300 ) = 800 = > l = 100 m answer : e" + }, + { + "Answer": 48, + "Options": "a ) 24 km , b ) 30 km , c ) 48 km , d ) 12 km , e ) 48 km", + "Correct": "e", + "Explanation": "\"speed of down stream = 10 + 2 = 12 kmph speed of upstream = 10 - 2 = 8 kmph let the required distance be xkm x / 12 + x / 8 = 10 2 x + 3 x = 240 x = 48 km answer is e\"" + }, + { + "Answer": 11, + "Options": "a ) 10.30 a . m , b ) 11 a . m , c ) 10 a . m , d ) 12 noon , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : assume that they meet x hours after 8 a . m . then , train 1 , starting from a , travelling towards b , travels x hours till the trains meet \u21d2 distance travelled by train 1 in x hours = speed \u00d7 time = 60 x then , train 2 , starting from b , travelling towards a , travels ( x - 1 ) hours till the trains meet \u21d2 distance travelled by train 2 in ( x - 1 ) hours = speed \u00d7 time = 75 ( x - 1 ) total distance travelled = distance travelled by train 1 + distance travelled by train 2 = > 330 = 60 x + 75 ( x - 1 ) = > 12 x + 15 ( x - 1 ) = 66 = > 12 x + 15 x - 15 = 66 = > 27 x = 66 + 15 = 81 = > 3 x = 9 = > x = 3 hence the trains meet 3 hours after 8 a . m . , i . e . at 11 a . m . answer : option b\"" + }, + { + "Answer": 1.25, + "Options": "a ) 1 hour , b ) 1.2 hour , c ) 3 hours , d ) 1.25 hours , e ) 6 hours", + "Correct": "d", + "Explanation": "\"the tricky part here , i believed is one half hour = 1 / 2 . then everything would be easy . we have the 1 st pump working rate / hour = 1 / 2 : 5 / 2 = 1 / 5 working rate of 2 pumps : 1 / 2 : 1 / 2 = 1 . working rate of 2 nd pump : 1 - 1 / 5 = 4 / 5 - - > time taken for the 2 nd pump to finish : 1 : 4 / 5 = 5 / 4 = 1.25 hours . d\"" + }, + { + "Answer": 500, + "Options": "a ) 650 meter , b ) 555 meter , c ) 500 meter , d ) 458 meter , e ) none of these", + "Correct": "c", + "Explanation": "explanation : let length of tunnel is x meter distance = 800 + x meter time = 1 minute = 60 seconds speed = 78 km / hr = 78 * 5 / 18 m / s = 65 / 3 m / s distance = speed * time = > 800 + x = 65 / 3 \u2217 60 = > 800 + x = 20 \u2217 65 = 1300 = > x = 1300 \u2212 800 = 500 so the length of the tunnel is 500 meters . option c" + }, + { + "Answer": 651, + "Options": "a ) 636 , b ) 640 , c ) 647 , d ) 651 , e ) 675", + "Correct": "d", + "Explanation": "explanation : area of the room = ( 1147 x 777 ) cm 2 . size of largest square tile = h . c . f . of 1147 cm and 777 cm = 37 cm . area of 1 tile = ( 37 x 37 ) cm 2 . number of tiles required = ( 1147 \u00d7 777 ) / ( 37 \u00d7 37 ) = 651 answer : option d" + }, + { + "Answer": 36, + "Options": "a ) 42 , b ) 44 , c ) 46 , d ) 36 , e ) 50", + "Correct": "d", + "Explanation": "\"the time it takes cara to drive to city b is 180 / 30 = 6 hours . dan needs to take less than 5 hours for the trip . dan needs to exceed a constant speed of 180 / 5 = 36 miles per hour . the answer is d .\"" + }, + { + "Answer": 5, + "Options": "a ) 30 , b ) 5 , c ) 10 , d ) 36 , e ) 25", + "Correct": "b", + "Explanation": "the three lengths in cm are 100 , 225 & 780 . hcf of 100 , 225 & 780 is 5 . hence , the answer is 5 cm . answer : b" + }, + { + "Answer": 0.3666666666666667, + "Options": "a ) 4 / 15 , b ) 7 / 30 , c ) 11 / 30 , d ) 5 / 18 , e ) 7 / 18", + "Correct": "c", + "Explanation": "\"the two slowest people work at rates of 1 / 5 and 1 / 6 of the job per hour . the sum of these rates is 1 / 5 + 1 / 6 = 11 / 30 of the job per hour . the answer is c .\"" + }, + { + "Answer": 1.9998400127989762, + "Options": "a ) 5 seconds , b ) 4.5 seconds , c ) 3 seconds , d ) 2 seconds , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : first convert speed into m / sec speed = 180 * ( 5 / 18 ) = 50 m / sec time = distance / speed = 100 / 50 = 2 seconds answer : d\"" + }, + { + "Answer": 16, + "Options": "a ) 12 days , b ) 14 days , c ) 16 days , d ) 18 days , e ) 20 days", + "Correct": "c", + "Explanation": "8 * 10 = 5 * x x = 16 answer : c" + }, + { + "Answer": 0.49996000319974404, + "Options": "a ) 2.5 sec , b ) 2.8 sec , c ) 0.5 sec , d ) 2.3 sec , e ) 1.5 sec", + "Correct": "c", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 20 / 40 = 0.5 sec . answer : c\"" + }, + { + "Answer": 13, + "Options": "a ) 10 s , b ) 6 s , c ) 4 s , d ) 8 s , e ) 13 s", + "Correct": "e", + "Explanation": "detailed solution speed of a = 54 \u2217 1000 / 60 \u2217 60 = 15 m / s speed of b = 36 \u2217 1000 / 60 \u2217 60 = 10 m / s relative speed = s 1 + s 2 = 15 + 10 m / s = 25 m / s the length that needs to be crossed = length of train b = 150 m . therefore time taken = 150 / 25 = 6 s . what is the time taken for trains to completely cross each other ? the length that needs to be crossed = 175 + 150 = 325 m . time taken = 325 / 25 = 13 s . correct answer e ." + }, + { + "Answer": 30, + "Options": "a ) 30 , b ) 40 , c ) 60 , d ) 50 , e ) none", + "Correct": "a", + "Explanation": "let the length of the train be x m and its speed be y m / sec . then , x / y = 12 = > y = x / 12 ( x + 90 ) / 12 = x + 120 / 15 = > x = 30 m . answer : a" + }, + { + "Answer": 27.997760179185665, + "Options": "a ) 28 sec , b ) 23 sec , c ) 24 sec , d ) 25 sec , e ) 26 sec", + "Correct": "a", + "Explanation": "\"d = 130 + 150 = 280 s = 36 * 5 / 18 = 10 mps t = 280 / 10 = 28 sec a\"" + }, + { + "Answer": 6, + "Options": "a ) 5 minutes , b ) 6 minutes , c ) 8 minutes , d ) 9 minutes , e ) 10 minutes", + "Correct": "b", + "Explanation": "\"let ' s say the distance between the buses is d . we want to determine interval = \\ frac { d } { b } , where b is the speed of bus . let the speed of cyclist be c . every 12 minutes a bus overtakes cyclist : \\ frac { d } { b - c } = 12 , d = 12 b - 12 c ; every 4 minutes cyclist meets an oncoming bus : \\ frac { d } { b + c } = 4 , d = 4 b + 4 c ; d = 12 b - 12 c = 4 b + 4 c , - - > b = 2 c , - - > d = 12 b - 6 b = 6 b . interval = \\ frac { d } { b } = \\ frac { 6 b } { b } = 6 answer : b ( 6 minutes ) .\"" + }, + { + "Answer": 13.999999999999995, + "Options": "a ) 17 hr , b ) 19 hr , c ) 10 hr , d ) 14 hr , e ) 16 hr", + "Correct": "d", + "Explanation": "\"work done by the tank in 1 hour = ( 1 / 2 - 1 / 3 ) = 1 / 14 leak will empty the tank in 14 hrs . answer : d\"" + }, + { + "Answer": 240, + "Options": "a ) 150 , b ) 180 , c ) 210 , d ) 240 , e ) 270", + "Correct": "d", + "Explanation": "\"the relative speed of jack and christina is 4 + 5 = 9 feet per second . the distance between them is 210 feet , hence they will meet in ( time ) = ( distance ) / ( relative speed ) = 270 / 7 = 30 seconds . for all this time lindy was running back and forth , so it covered ( distance ) = ( speed ) * ( time ) = 8 * 30 = 240 feet . answer : d .\"" + }, + { + "Answer": 400.00000000000017, + "Options": "a ) 400 , b ) 200 , c ) 100 , d ) 150 , e ) 500", + "Correct": "a", + "Explanation": "man 3 1 day work = 1 / 3 - ( 1 / 6 + 1 / 8 ) = 1 / 3 - 7 / 24 = 1 / 24 man 1 : man 2 : man 3 = 1 / 6 : 1 / 8 : 1 / 24 = = > 4 : 3 : 1 man 3 share = 3 * 1 / 24 * 3200 = rs 400 answer a" + }, + { + "Answer": 150, + "Options": "a ) 150 , b ) 872 , c ) 287 , d ) 288 , e ) 212", + "Correct": "a", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 9 = 150 meter answer : a\"" + }, + { + "Answer": 32, + "Options": "a ) 46 m , b ) 66 m , c ) 26 m , d ) 56 m , e ) 32 m", + "Correct": "e", + "Explanation": "\"perimeter of the plot = 2 ( 30 + 50 ) = 160 m no of poles = 160 / 5 = 32 m answer : e\"" + }, + { + "Answer": 6, + "Options": "a ) 7.1 , b ) 8.2 , c ) 4.6 , d ) 6.0 , e ) 12.8", + "Correct": "d", + "Explanation": "\"distance = 1000 meter time = 10 minutes = 10 x 60 seconds = 600 seconds speed = distance / time = 1000 / 600 = 1.67 m / s = 1.67 \u00e3 \u2014 18 / 5 km / hr = 6.0 km / hr answer : d\"" + }, + { + "Answer": 16.7986561075114, + "Options": "a ) 15.8 sec , b ) 14.9 sec , c ) 12.4 sec , d ) 16.8 sec , e ) 11.8 sec", + "Correct": "d", + "Explanation": "\"d 16.8 sec d = 110 + 170 = 280 m s = 60 * 5 / 18 = 50 / 3 t = 280 * 3 / 50 = 16.8 sec\"" + }, + { + "Answer": 3.6, + "Options": "a ) 2 second , b ) 3.6 second , c ) 5 second , d ) 5.5 second , e ) 6 second", + "Correct": "b", + "Explanation": "the crossing moment starts when the head of first compartment of two trains meet or touch . the process of crossing each other continues till 100 + 200 meter = 300 meter is covered . the speed will be 100 km / hour + 200 km / hour = 300 km / hour . 300 x 1000 meter covered in 3600 seconds . so , 300 meter covered in 3.6 seconds . answer : b ." + }, + { + "Answer": 32, + "Options": "a ) 32 , b ) 24 , c ) 26 , d ) 28 , e ) 30", + "Correct": "a", + "Explanation": "between the 12 mango trees , there are 11 gaps and each gap has 2 meter length also , 5 meter is left from all sides of the boundary of the garden . hence , length of the garden = ( 11 \u00e3 \u2014 2 ) + 5 + 5 = 32 meter answer is a ." + }, + { + "Answer": 23.5, + "Options": "a ) 10.5 , b ) 15 , c ) 25.5 , d ) 30 , e ) 23.5", + "Correct": "e", + "Explanation": "\"the time it takes darcy to walk to work is ( 1.5 / 3 ) * 60 = 30 minutes the time it takes darcy to take the train is ( 1.5 / 20 ) * 60 + x = 4.5 + x minutes it takes 15 minutes longer to walk , so 30 = 4.5 + x + 2 x = 23.5 minutes answer : e\"" + }, + { + "Answer": 18, + "Options": "a ) 16 , b ) 17 , c ) 12 , d ) 15 , e ) 18", + "Correct": "e", + "Explanation": "\"t = 9 / 30 * 60 = 18 answer : e\"" + }, + { + "Answer": 55, + "Options": "a ) 70 , b ) 52 , c ) 55 , d ) 49 , e ) 50", + "Correct": "c", + "Explanation": "\"total number of players = 15 + 12 + 13 + 15 = 55 answer is c\"" + }, + { + "Answer": 11.999040076793857, + "Options": "a ) 5 seconds , b ) 12 seconds , c ) 3 seconds , d ) 2.5 seconds , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : first convert speed into m / sec speed = 90 * ( 5 / 18 ) = 25 m / sec time = distance / speed = 300 / 25 = 12 seconds answer : b\"" + }, + { + "Answer": 5, + "Options": "a ) 9 , b ) 4 , c ) 5 , d ) 2 , e ) 3", + "Correct": "c", + "Explanation": "vanessa + mike + sarah = 17 v + m = 14 m + s = 12 < < use this formula & plug into the original formula , to get vanessa ' s total v + ( m + s ) = 17 v + 12 = 17 subtract 12 from both sides v = 5 answer : c" + }, + { + "Answer": 10.799136069114471, + "Options": "a ) 7 , b ) 8.2 , c ) 2 , d ) 10.8 , e ) 11.2", + "Correct": "d", + "Explanation": "\"answer : option d relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 140 + 160 = 300 m . required time = 300 * 9 / 250 = 54 / 5 = 10.8 sec\"" + }, + { + "Answer": 11.999999999999998, + "Options": "a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16", + "Correct": "c", + "Explanation": "\"let total time taken by d to complete the job = d total time taken by a to complete the job = 6 work done by a in an hour 1 / a = 1 / 6 working together a and d can complete the job in 4 hours 1 / a + 1 / d = 1 / 4 = > 1 / d = 1 / 4 - 1 / a = 1 / 4 - 1 / 6 = 1 / 12 = > d = 12 hours answer c\"" + }, + { + "Answer": 180, + "Options": "a ) 150 meter , b ) 299 meter , c ) 666 meter , d ) 155 meter , e ) 180 meter", + "Correct": "e", + "Explanation": "\"speed = 72 * ( 5 / 18 ) m / sec = 20 m / sec length of train ( distance ) = speed * time ( 20 ) * 9 = 180 meter answer : e\"" + }, + { + "Answer": 350, + "Options": "a ) 530 , b ) 305 , c ) 503 , d ) 430 , e ) 350", + "Correct": "e", + "Explanation": "\"speed = ( 180 * 5 / 18 ) m / sec = ( 50 ) m / sec length of the train = ( speed x time ) = ( 50 * 7 ) m = 350 m . answer : e\"" + }, + { + "Answer": 18.00000000000001, + "Options": "a ) 12 days , b ) 15 days , c ) 16 days , d ) 24 days , e ) 18 days", + "Correct": "e", + "Explanation": "explanation : ( 1 man + 1 woman + 1 boy ) \u2019 s 1 day \u2019 s work = 1 / 3 1 man \u2019 s 1 day work = 1 / 6 1 boy \u2019 s 1 day \u2019 s work = 1 / 9 ( 1 man + 1 boy ) \u2018 s 1 day \u2019 s work = 1 / 6 + 1 / 9 = 5 / 18 therefore , 1 woman \u2019 s 1 day \u2019 s work = 1 / 3 \u2013 5 / 18 = 1 / 18 therefore , the woman alone can finish the work in 18 days . answer : option e" + }, + { + "Answer": 240.02999999999997, + "Options": "a ) 270 m , b ) 245 m , c ) 235 m , d ) 220 m , e ) 240 m", + "Correct": "e", + "Explanation": "\"explanation : assume the length of the bridge = x meter total distance covered = 135 + x meter total time taken = 30 s speed = total distance covered / total time taken = ( 135 + x ) / 30 m / s = > 45 \u00e3 \u2014 ( 10 / 36 ) = ( 135 + x ) / 30 = > 45 \u00e3 \u2014 10 \u00e3 \u2014 30 / 36 = 135 + x = > 45 \u00e3 \u2014 10 \u00e3 \u2014 10 / 12 = 135 + x = > 15 \u00e3 \u2014 10 \u00e3 \u2014 10 / 4 = 135 + x = > 15 \u00e3 \u2014 25 = 135 + x = 375 = > x = 375 - 135 = 240 answer : option e\"" + }, + { + "Answer": 1, + "Options": "a ) 1 day , b ) 2 days , c ) 3 days , d ) 4 days , e ) 5 days", + "Correct": "a", + "Explanation": "1 cat - - - - - - 3 / 2 rat - - - - - - - - - 3 / 2 days 1 cat - - - - - - ( 3 / 2 ) * 2 rat - - - - - ( 3 / 2 ) * 2 days ( rat doubled , days doubled ) 1 * 3 cat - - - - - 3 rat - - - - - - - - - - - 3 / 3 = 1 day ( cat * 3 , same rat , days / 3 ) answer : a" + }, + { + "Answer": 12, + "Options": "a ) 09 , b ) 07 , c ) 12 , d ) 05 , e ) 03", + "Correct": "c", + "Explanation": "\"explanation : suppose they meet x hrs after 8 a . m then , [ distance moved by first in x hrs ] + [ distance moved by second in ( x - 1 ) hrs ] = 465 therefore , 60 x + 75 ( x - 1 ) = 465 = > x = 3 . so , they meet at ( 8 + 4 ) i . e , 12 noon answer : c )\"" + }, + { + "Answer": 290.03999999999996, + "Options": "a ) 290 , b ) 280 , c ) 270 , d ) 260 , e ) 250", + "Correct": "a", + "Explanation": "\"relative speed = 120 + 80 = 200 km / hr . = 200 * 5 / 18 = 500 / 9 m / sec . let the length of the other train be x m . then , ( x + 210 ) / 9 = 500 / 9 = > x = 290 . answer : option a\"" + }, + { + "Answer": 24, + "Options": "a ) 16 min , b ) 26 min , c ) 34 min , d ) 24 min , e ) 12 min", + "Correct": "d", + "Explanation": "\"speed ratio = 1 : 4 / 5 = 5 : 4 time ratio = 4 : 5 1 - - - - - - - - 6 4 - - - - - - - - - ? \u00e8 24 answer : d\"" + }, + { + "Answer": 245, + "Options": "a ) 288 , b ) 269 , c ) 245 , d ) 888 , e ) 121", + "Correct": "c", + "Explanation": "\"speed = 45 * 5 / 18 = 25 / 2 m / sec . time = 30 sec let the length of bridge be x meters . then , ( 130 + x ) / 30 = 25 / 2 x = 245 m . answer : c\"" + }, + { + "Answer": 11.879049676025918, + "Options": "a ) 10.6 sec , b ) 18.8 sec , c ) 14.8 sec , d ) 10.88 sec , e ) 11.88 sec", + "Correct": "e", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 170 + 160 = 330 m . required time = 330 * 9 / 250 = 297 / 25 = 11.88 sec . answer : e\"" + }, + { + "Answer": 0.7272727272727273, + "Options": "a ) 4 / 7 , b ) 5 / 7 , c ) 8 / 11 , d ) 7 / 12 , e ) 11 / 15", + "Correct": "c", + "Explanation": "\"let x be the number of workers on the day crew . let y be the number of boxes loaded by each member of the day crew . then the number of boxes loaded by the day crew is xy . the number of boxes loaded by the night crew is ( x / 2 ) ( 3 y / 4 ) = 3 xy / 8 the total number of boxes is xy + 3 xy / 8 = 11 xy / 8 the fraction loaded by the day crew is xy / ( 11 xy / 8 ) = 8 / 11 the answer is c .\"" + }, + { + "Answer": 4, + "Options": "a ) l , b ) 2 l , c ) 3 l , d ) 4 l , e ) 5 l", + "Correct": "d", + "Explanation": "the train passes a pole in t seconds , so velocity v = l / t ( l + p ) / v = 5 t ( l + p ) / ( l / t ) = 5 t p = 4 l the answer is d ." + }, + { + "Answer": 13.198944084473244, + "Options": "a ) 7 sec , b ) 6 sec , c ) 8 sec , d ) 14 sec , e ) 13.2 sec", + "Correct": "e", + "Explanation": "\"speed of train relative to man = 24 + 6 = 30 km / hr . = 30 * 5 / 18 = 8.33 m / sec . time taken to pass the men = 110 / 8.33 = 13.2 sec . answer : e\"" + }, + { + "Answer": 5.454545454545454, + "Options": "a ) 40 days , b ) 40 / 9 days , c ) 60 / 11 days , d ) 30 / 9 days , e ) 60 / 9 days", + "Correct": "c", + "Explanation": "\"a ' s one hour work = 1 / 10 . b ' s one hour work = 1 / 12 . ( a + b ) ' s one hour work = 1 / 10 + 1 / 12 = 11 / 60 . both a & b can finish the work in 60 / 11 days c\"" + }, + { + "Answer": 10, + "Options": "a ) 10 , b ) 24 , c ) 30 , d ) 36 , e ) 48", + "Correct": "a", + "Explanation": "\"speed = 216 km / hr = > 216,000 m / hr in one minute = > 216000 / 60 = 3600 meters in one sec = > 3600 / 60 = 60 meters time = total distance need to be covered / avg . speed = > 600 / 60 = 10 and hence the answer : a\"" + }, + { + "Answer": 171, + "Options": "a ) 63 , b ) 72 , c ) 144 , d ) 171 , e ) 400", + "Correct": "d", + "Explanation": "\"20 typists can type 38 letters , so 30 typists can type = 38 * 30 / 20 38 * 30 / 20 letters can be typed in 20 mins . in 60 mins typist can type = 38 * 30 * 60 / 20 * 20 = 171 d is the answer\"" + }, + { + "Answer": 1, + "Options": "a ) 1 hr , b ) 2 hrs , c ) 3 hrs , d ) 5 hrs , e ) 6 hrs", + "Correct": "a", + "Explanation": "to be ( 10 + 40 ) km apart , they take 1 hour to be 50 km apart , they take 1 / 50 * 50 = 1 hrs answer is a" + }, + { + "Answer": 55.99999999999999, + "Options": "a ) 60 , b ) 56 , c ) 84 , d ) 90 , e ) 108", + "Correct": "b", + "Explanation": "\"b is the answer . . . . d = ts where d = distance , t = time and s = speed to travel half distance , ( 2 + 2 t ) = 7 t = = > t = 2 / 5 = = > 24 minutes to travel double distance , 2 ( 2 + 2 t ) = 7 t = = > 2 = = > 80 minutes difference , 56 minutes b\"" + }, + { + "Answer": 21.002817118114375, + "Options": "['a ) 19 cm', 'b ) 20 cm', 'c ) 21 cm', 'd ) 30 cm', 'e ) none']", + "Correct": "c", + "Explanation": "sol . let the radius be r cm . then , 2 / 3 * 22 / 7 * r \u00b3 = 19404 \u21d4 r \u00b3 = [ 19404 * 21 / 44 ] = ( 21 ) \u00b3 \u21d4 r = 21 cm . answer c" + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 16", + "Correct": "b", + "Explanation": "\"let the current speed be x miles per hour . time taken if speed is 50 % faster ( i . e . 3 x / 2 = 1.5 x ) = 96 / 1.5 x time taken if speed is reduced by 4 miles / hr ( i . e . ( x - 4 ) ) = 96 / ( x - 4 ) as per question , 96 / ( x - 4 ) - 96 / 1.5 x = 16 solving this t we get x = 8 . b .\"" + }, + { + "Answer": 39.99680025597952, + "Options": "a ) 30 , b ) 54 , c ) 40 , d ) 36 , e ) 31", + "Correct": "c", + "Explanation": "\"speed of train relative to man = 56 - 2 = 54 km / hr . = 54 * 5 / 18 = 15 m / sec . time taken to pass the man = 600 * 1 / 15 = 40 sec . answer : c\"" + }, + { + "Answer": 9000, + "Options": "a ) 4500 m 3 , b ) 4580 m 3 , c ) 9000 m 3 , d ) 4900 m 3 , e ) 4700 m 3", + "Correct": "c", + "Explanation": "\"explanation : ( 6000 * 2 * 45 ) / 60 = 9000 m 3 answer : option c\"" + }, + { + "Answer": 7200, + "Options": "a ) 7207 , b ) 7206 , c ) 7203 , d ) 7200 , e ) 7201", + "Correct": "d", + "Explanation": "\"area of plot abcd = area of ade + area of afb + area of bcef = 1 / 2 * 50 * 120 + 1 / 2 * 40 * 30 + 40 * 90 = 3000 + 600 + 3600 = 7200 sq . m answer : d\"" + }, + { + "Answer": 45, + "Options": "a ) 45 , b ) 86 , c ) 30 , d ) 78 , e ) 38", + "Correct": "a", + "Explanation": "\"us = 25 ds = 65 m = ( 65 + 25 ) / 2 = 45 answer : a\"" + }, + { + "Answer": 75, + "Options": "a ) 37.5 m , b ) 75 m , c ) 25 m , d ) 80 m , e ) 30 m", + "Correct": "b", + "Explanation": "let length of train = l case - 1 : distance = 150 + l ( while crossing the bridge ) time = 7.5 seconds i . e . speed = distance / time = ( 150 + l ) / 7.5 case - 2 : distance = l ( while passing the lamp post ) time = 2.5 seconds i . e . speed = distance / time = ( l ) / 2.5 but since speed has to be same in both cases so ( 150 + l ) / 7.50 = ( l ) / 2.5 i . e . 3 l = l + 150 i . e . 2 l = 150 i . e . l = 75 answer : option b" + }, + { + "Answer": 30.4, + "Options": "a ) 22.8 kg , b ) 25.6 kg , c ) 28 kg , d ) 30.4 kg , e ) none of these", + "Correct": "d", + "Explanation": "explanation : let the required weight be x kg . then , less length , less weight ( direct proportion ) = > 11.25 : 8 : : 42.75 : x = > 11.25 x x = 8 x 42.75 = > x = ( 8 x 42.75 ) / 11.25 = > x = 30.4 answer : d" + }, + { + "Answer": 70.06369426751593, + "Options": "a ) 70 , b ) 125 , c ) 300 , d ) 500 , e ) none of these", + "Correct": "a", + "Explanation": "\"radius of the wheel of bus = 250 cm . then , circumference of wheel = 2 \u00ef \u20ac r = 500 \u00ef \u20ac = 1571.43440 cm distance covered by bus in 1 minute = 66 \u00e2 \u0081 \u201e 60 \u00e3 \u2014 1000 \u00e3 \u2014 100 cms distance covered by one revolution of wheel = circumference of wheel = 1571.45 cm \u00e2 \u02c6 \u00b4 revolutions per minute = 6600000 / 60 \u00e3 \u2014 1571.43 = 70 answer a\"" + }, + { + "Answer": 11.666666666666666, + "Options": "a ) 12.9 , b ) 12.5 , c ) 12.6 , d ) 11.6 , e ) 12.1", + "Correct": "d", + "Explanation": "\"1000 * 21 = 1800 * x x = 11.6 answer : d\"" + }, + { + "Answer": 24, + "Options": "a ) 46 m , b ) 66 m , c ) 26 m , d ) 24 m , e ) 25 m", + "Correct": "d", + "Explanation": "\"perimeter of the plot = 2 ( 10 + 50 ) = 120 m no of poles = 120 / 5 = 24 m answer : d\"" + }, + { + "Answer": 14.000000000000002, + "Options": "a ) 12 , b ) 13 , c ) 16 , d ) 14 , e ) 18", + "Correct": "d", + "Explanation": "\"work done by x in 1 day = 1 / 21 work done by y in 1 day = 1 / 15 work done by y in 5 days = 5 / 15 = 1 / 3 remaining work = 1 \u2013 1 / 3 = 2 / 3 number of days in which x can finish the remaining work = ( 2 / 3 ) / ( 1 / 21 ) = 14 d\"" + }, + { + "Answer": 0.7, + "Options": "a ) 5 / 10 , b ) 9 / 10 , c ) 7 / 10 , d ) 6 / 10 , e ) 4 / 10", + "Correct": "c", + "Explanation": "\"explanation : amount of work p can do in 1 day = 1 / 20 amount of work q can do in 1 day = 1 / 10 amount of work p and q can do in 1 day = 1 / 20 + 1 / 10 = 3 / 20 amount of work p and q can together do in 2 days = 2 \u00d7 ( 3 / 20 ) = 3 / 10 fraction of work left = 1 \u2013 3 / 10 = 7 / 10 answer : option c\"" + }, + { + "Answer": 3.75, + "Options": "a ) 3 , b ) 6.5 , c ) 5.5 , d ) 4 , e ) 3.75", + "Correct": "e", + "Explanation": "\"100 - - - 10 ds = 12.5 ? - - - - 1 75 - - - - 15 us = 5 ? - - - - - 1 s = ( 12.5 - 5 ) / 2 = 3.75 kmph . answer : e\"" + }, + { + "Answer": 52, + "Options": "a ) 55 , b ) 56 , c ) 57 , d ) 52 , e ) none of these", + "Correct": "d", + "Explanation": "\"solution perimeter of the plot = 2 ( 90 + 40 ) = 260 m . \u2234 number of poles = [ 260 / 5 ] = 52 m answer d\"" + }, + { + "Answer": 6.000000000000001, + "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", + "Correct": "c", + "Explanation": "\"dan can complete 1 / 12 of the job per hour . in 4 hours , dan completes 4 ( 1 / 12 ) = 1 / 3 of the job . annie can complete 1 / 9 of the job per hour . to complete the job , annie will take 2 / 3 / 1 / 9 = 6 hours . the answer is c .\"" + }, + { + "Answer": 4, + "Options": "a ) 1 kmph , b ) 4 kmph , c ) 3 kmph , d ) 2 kmph , e ) 1.9 kmph", + "Correct": "b", + "Explanation": "\"sol . speed of stream = 1 / 2 ( 12 - 4 ) kmph = 4 kmph . answer b\"" + }, + { + "Answer": 7, + "Options": "a ) 4 hours , b ) 5 hours , c ) 6 hours , d ) 7 hours , e ) 8 hours", + "Correct": "d", + "Explanation": "\"explanation : it is very important to check , if the boat speed given is in still water or with water or against water . because if we neglect it we will not reach on right answer . i just mentioned here because mostly mistakes in this chapter are of this kind only . lets see the question now . speed downstream = ( 16 + 5 ) = 21 kmph time = distance / speed = 147 / 21 = 7 hours option d\"" + }, + { + "Answer": 209.99999999999997, + "Options": "a ) 72 sec , b ) 210 sec , c ) 192 sec , d ) 252 sec , e ) none", + "Correct": "b", + "Explanation": "\"solution relative speed = ( 46 - 40 ) kmph = 6 kmph = ( 6 x 5 / 18 ) m / sec = ( 30 / 18 ) m / sec time taken = ( 350 x 18 / 30 ) sec = 210 sec . answer b\"" + }, + { + "Answer": 0.06666666666666665, + "Options": "a ) 2 / 15 , b ) 8 / 15 , c ) 3 / 11 , d ) 1 / 12 , e ) 1 / 15", + "Correct": "e", + "Explanation": "\"a ' s 1 day work = 1 / 15 b ' s 1 day work = 1 / 20 a + b 1 day work = 1 / 15 + 1 / 20 = 7 / 60 a + b 8 days work = 7 / 60 * 8 = 14 / 15 remaining work = 1 - 14 / 15 = 1 / 15 answer is e\"" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", + "Correct": "a", + "Explanation": "\"39 = 17 + 18 + 12 - 4 - 2 x 2 x = 17 + 18 + 12 - 4 - 39 = 43 - 39 = 4 x = 2 a\"" + }, + { + "Answer": 99.99999999999999, + "Options": "a ) 50 hrs , b ) 60 hrs , c ) 70 hrs , d ) 80 hrs , e ) 100 hrs", + "Correct": "e", + "Explanation": "\"time taken to full the cistern = ( 1 / 20 - 1 / 25 ) hrs = 1 / 100 = 100 hrs answer : e\"" + }, + { + "Answer": 360, + "Options": "a ) 240 , b ) 280 , c ) 320 , d ) 360 , e ) 400", + "Correct": "d", + "Explanation": "\"total distance traveled = 900 km . distance traveled by plane = 300 km . distance traveled by bus = x distance traveled by train = 2 x / 3 x + 2 x / 3 + 300 = 900 5 x / 3 = 600 x = 360 km the answer is d .\"" + }, + { + "Answer": 8.57142857142857, + "Options": "a ) 7.5 hr , b ) 8 hr , c ) 8.57 hr , d ) 10 hr , e ) none of these", + "Correct": "c", + "Explanation": "\"solution : work done by all the tanks working together in 1 hour . 1 / 10 + 1 / 12 \u2212 1 / 15 = 7 / 60 hence , tank will be filled in 60 / 7 = 8.57 hour option ( c )\"" + }, + { + "Answer": 60, + "Options": "a ) 10 days , b ) 30 days , c ) 20 days , d ) 60 days , e ) 40 days", + "Correct": "d", + "Explanation": "\"d 60 days given that 12 m = 20 w = > 3 m = 5 w 9 men + 12 women = 15 women + 12 women = 27 women 20 women can do the work in 81 days . so , 27 women can do it in ( 20 * 81 ) / 27 = 60 days .\"" + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 16", + "Correct": "b", + "Explanation": "let the current speed be x miles per hour . time taken if speed is 50 % faster ( i . e . 3 x / 2 = 1.5 x ) = 96 / 1.5 x time taken if speed is reduced by 4 miles / hr ( i . e . ( x - 4 ) ) = 96 / ( x - 4 ) as per question , 96 / ( x - 4 ) - 96 / 1.5 x = 16 solving this o we get x = 8 . b ." + }, + { + "Answer": 1350, + "Options": "a ) rs 840 , b ) rs 1350 , c ) rs 1620 , d ) rs 1680 , e ) none of these", + "Correct": "b", + "Explanation": "explanation : ( men 4 : 9 ) : ( hrs / day 10 : 6 ) : : 1000 : x hence 4 * 10 * x = 9 * 6 * 1000 or x = 9 * 6 * 1000 / 4 * 10 = 1350 answer : b" + }, + { + "Answer": 41.142857142857146, + "Options": "a ) 56 seconds , b ) 3515 seconds , c ) 41.15 seconds , d ) 30 seconds , e ) 36 seconds", + "Correct": "c", + "Explanation": "\"speed = 35 km / hr = 35 * ( 5 / 18 ) m / sec = 9.72 m / sec total distance = 250 + 150 = 400 meter time = distance / speed = 400 * ( 1 / 9.72 ) = 41.15 seconds answer : c\"" + }, + { + "Answer": 80, + "Options": "a ) 80 , 8284 , b ) 65 , 6871 , c ) 45 , 4742 , d ) 100 , 10249 , e ) 87 , 8889", + "Correct": "a", + "Explanation": "first x make the first x second x + 2 even numbers , sowe add 2 to get the next third x + 4 add 2 more ( 4 total ) to get the third f + s + t = 246 summeansaddfirst ( f ) plussecond ( s ) plusthird ( t ) ( x ) + ( x + 2 ) + ( x + 4 ) = 246 replace each f , s , and t withwhatwe labeled them x + x + 2 + x + 4 = 246 here the parenthesis are not needed 3 x + 6 = 246 combine like terms x + x + x and 2 + 4 \u2212 6 \u2212 6 subtract 6 fromboth sides 3 x = 240 the variable ismultiplied by 3 3 3 divide both sides by 3 x = 80 our solution for x first 80 replace x in the origional listwith 80 . second ( 80 ) + 2 = 82 the numbers are 80 , 82 , and 84 . third ( 80 ) + 4 = 84 correct answer a" + }, + { + "Answer": 1, + "Options": "a ) 1 day , b ) 2 days , c ) 3 days , d ) 4 days , e ) 5 days", + "Correct": "a", + "Explanation": "\"the length of cloth painted by one man in one day = 48 / 4 \u00d7 2 = 6 m no . of days required to paint 36 m cloth by 6 men = 36 / 6 \u00d7 6 = 1 day . a\"" + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 2 hrs , b ) 6 hrs , c ) 5 hrs , d ) 4 hrs , e ) 1 hr", + "Correct": "b", + "Explanation": "\"part filled by a in 1 hour = 1 / 10 part filled by b in 1 hour = 1 / 15 part filled by a + b in 1 hour = 1 / 10 + 1 / 15 = 1 / 6 both the pipes will together will fill the tank in 6 hours . answer is b\"" + }, + { + "Answer": 140, + "Options": "a ) 110 , b ) 120 , c ) 140 , d ) 130 , e ) 112", + "Correct": "c", + "Explanation": "all of them catch fishes in relation to number 30 . . . . 2 / 3 * 30 + 2 * 30 + 2 * 1.5 * 30 * 2 / 3 = 140 answer is c" + }, + { + "Answer": 6.184615384615385, + "Options": "a ) 7.2 kg . , b ) 10.8 kg . , c ) 12.4 kg . , d ) 6.18 kg , e ) none", + "Correct": "d", + "Explanation": "answer \u2235 weight of 13 m long rod = 13.4 kg \u2234 weight of 1 m long rod = 13.4 / 13 kg \u2234 weight of 6 m long rod = 13.4 x 6 / 13 = 6.18 kg option : d" + }, + { + "Answer": 16500, + "Options": "a ) 22488 , b ) 16500 , c ) 27889 , d ) 23778 , e ) 29982", + "Correct": "b", + "Explanation": "\"explanation : area = 5.5 \u00d7 3.75 sq . metre . cost for 1 sq . metre . = rs . 800 hence total cost = 5.5 \u00d7 3.75 \u00d7 800 = 5.5 \u00d7 3000 = rs . 16500 answer : b ) rs . 16500\"" + }, + { + "Answer": 20.000000000000004, + "Options": "a ) 7.5 , b ) 20 , c ) 30 , d ) 32 , e ) 40", + "Correct": "b", + "Explanation": "\"net part filled in 1 hour = ( 1 / 4 - 1 / 5 ) = 1 / 20 the cistern will be filled in 20 / 1 hrs i . e . , 20 hrs . answer : b\"" + }, + { + "Answer": 45, + "Options": "a ) 29 , b ) 92 , c ) 30 , d ) 32 , e ) 45", + "Correct": "e", + "Explanation": "\"us = 37 ds = 53 m = ( 53 + 37 ) / 2 = 45 answer : e\"" + }, + { + "Answer": 24, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 24", + "Correct": "e", + "Explanation": "\"let the speed be x . . . so time taken from home to grocery = 720 / x . . the speed to gym = 2 x . . so time taken = 480 / 2 x = 240 / x . . its given 720 / x - 240 / x = 40 . . 480 / x = 40 . . x = 12 m / secs . . so grocery to gym = 2 * 12 = 24 m / s . . . e\"" + }, + { + "Answer": 17.998560115190784, + "Options": "a ) 18.9 sec , b ) 88.9 sec , c ) 22.9 sec , d ) 18.0 sec , e ) 72.0 sec", + "Correct": "d", + "Explanation": "\"d = 110 + 190 = 300 m s = 60 * 5 / 18 = 50 / 3 t = 300 * 3 / 50 = 18.0 sec answer : d\"" + }, + { + "Answer": 23.863636363636363, + "Options": "a ) 15.95 , b ) 17.28 , c ) 19.54 , d ) 21.73 , e ) 23.86", + "Correct": "e", + "Explanation": "\"70 feet / 2 seconds = 35 feet / second ( 35 feet / second ) * ( 3600 seconds / hour ) * ( 1 mile / 5280 feet ) = 23.86 miles / hour ( approximately ) the answer is e .\"" + }, + { + "Answer": 170, + "Options": "a ) 80 litres , b ) 90 litres , c ) 120 litres , d ) 170 litres , e ) none of these", + "Correct": "d", + "Explanation": "\"explanatory answer to cover a distance of 800 kms using a 800 cc engine , the amount of diesel required = 800 / 600 * 85 = 113.33 litres . however , the vehicle uses a 1200 cc engine and the question states that the amount of diesel required varies directly as the engine capacity . i . e . , for instance , if the capacity of engine doubles , the diesel requirement will double too . therefore , with a 1200 cc engine , quantity of diesel required = 1200 / 800 * 113.33 = 170 litres . answer d\"" + }, + { + "Answer": 428.57142857142856, + "Options": "a ) 111.12 , b ) 111.67 , c ) 428.57 , d ) 111.11 , e ) 101.12", + "Correct": "c", + "Explanation": "\"a runs 1000 m while b runs 700 m and c runs 400 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 400 ) / 700 = 571.43 m . b can give c = 1000 - 571.43 = 428.57 m . answer : c\"" + }, + { + "Answer": 33.333333333333336, + "Options": "a ) 33.33 m , b ) 25 m , c ) 45 m , d ) 30 m , e ) none of these", + "Correct": "a", + "Explanation": "solution distance covered by b in 15 sec . = ( 100 / 45 x 15 ) m = 33.33 m . \u2234 a beats b by 33.33 metres . answer a" + }, + { + "Answer": 70.0056, + "Options": "a ) 10 mps , b ) 05 mps , c ) 09 mps , d ) 12 mps , e ) 70 mps", + "Correct": "e", + "Explanation": "\"e 70 mps 252 * 5 / 18 = 70 mps\"" + }, + { + "Answer": 71.99424046076314, + "Options": "a ) 120 sec , b ) 176 sec , c ) 178 sec , d ) 72 sec , e ) 189 sec", + "Correct": "d", + "Explanation": "\"time taken to meet for the first time at the starting point = lcm { length of the track / speed of a , length of the track / speed of b } = lcm { 600 / ( 30 * 5 / 18 ) , 600 / ( 60 * 5 / 18 ) } = 72 sec . answer : d\"" + }, + { + "Answer": 57, + "Options": "a ) 50 m , b ) 57 m , c ) 80 m , d ) 82 m , e ) 84 m", + "Correct": "b", + "Explanation": "\"let breadth = x metres . then , length = ( x + 14 ) metres . perimeter = 5300 m = 200 m . 26.50 2 [ ( x + 14 ) + x ] = 200 2 x + 14 = 100 2 x = 86 x = 43 . hence , length = x + 14 = 57 m b\"" + }, + { + "Answer": 2574, + "Options": "a ) 2574 , b ) 2500 , c ) 1365 , d ) 1574 , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : hcf * lcm = 84942 , because we know product of two numbers = product of hcf and lcm lcm = 84942 / 33 = 2574 option a\"" + }, + { + "Answer": 128, + "Options": "a ) 75 m . , b ) 128 m . , c ) 150 m . , d ) 100 m . , e ) none of the above", + "Correct": "b", + "Explanation": "\"ratio of speeds of a and b is 2 : 1 b is 64 m away from a but we know that a covers 1 meter ( 2 - 1 ) more in every second than b the time taken for a to cover 64 m is 64 / 1 = 64 m so the total time taken by a and b to reach = 2 * 64 = 128 m answer : b\"" + }, + { + "Answer": 216.53543307086613, + "Options": "a ) 212.5 , b ) 213.5 , c ) 214.5 , d ) 215.5 , e ) 216.5", + "Correct": "e", + "Explanation": "\"1 inch = 2.54 cm 2.5 inch = 2.54 * 2.5 cm 6.35 cm = 25 miles 55 cms = 25 / 6.35 * 55 = 216.5 miles answer : e\"" + }, + { + "Answer": 48, + "Options": "a ) a ) 45 , b ) b ) 33 , c ) c ) 48 , d ) d ) 55 , e ) e ) 61", + "Correct": "c", + "Explanation": "\"let y be the balance distance to be covered and x be the former speed . a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late so , y / ( 3 x / 4 ) - y / x = 35 / 60 4 y / 3 x - y / x = 7 / 12 y / x ( 4 / 3 - 1 ) = 7 / 12 y / x * 1 / 3 = 7 / 12 y / x = 7 / 4 4 y - 7 x = 0 . . . . . . . . 1 had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late so , ( y - 24 ) / ( 3 x / 4 ) - ( y - 24 ) / x = 25 / 60 4 ( y - 24 ) / 3 x - ( y - 24 ) / x = 5 / 12 ( y - 24 ) / x ( 4 / 3 - 1 ) = 5 / 12 ( y - 24 ) / x * 1 / 3 = 5 / 12 ( y - 24 ) * 12 = 3 x * 5 ( y - 24 ) * 4 = 5 x 4 y - 5 x = 96 . . . . . . . 2 eq 2 - eq 1 2 x = 96 x = 48 = t ans = c\"" + }, + { + "Answer": 675, + "Options": "a ) 660 m , b ) 650 m , c ) 570 m , d ) 670 m , e ) 680 m", + "Correct": "d", + "Explanation": "\"distance covered by amar = ( 18 / 48 ) * 1800 = 670 m answer : d\"" + }, + { + "Answer": 48, + "Options": "a ) 14 , b ) 16 , c ) 21 , d ) 32 , e ) 48", + "Correct": "e", + "Explanation": "\"i treat such problems as work ones . work = rate * time mileage ( m ) = rate ( mpg ) * gallons ( g ) x gallons is a full tank { 462 = rx { 336 = ( r - 18 ) x solve for r , r = 66 66 - 18 = 48 mpg e\"" + }, + { + "Answer": 5.279577633789296, + "Options": "a ) 4.37 , b ) 5.28 , c ) 6.75 , d ) 8 , e ) 3.1", + "Correct": "b", + "Explanation": "\"speed of train relative to bus = 90 + 60 = 150 km / hr . = 150 * 5 / 18 = 125 / 3 m / sec . time taken to pass the bus = 220 * 3 / 125 = 5.28 sec . answer : b\"" + }, + { + "Answer": 20, + "Options": "a ) 20 miles . , b ) 35 miles . , c ) 45 miles . , d ) 60 miles . , e ) 65 miles .", + "Correct": "a", + "Explanation": "\"tim and elan will meet at the same time while their ratio of speed is 2 : 1 respectively . so their individual distance traveled ratio will be same . plugging in the answer choice only answer choice a meet the 2 : 1 ( tim : elan = 20 : 10 ) ratio of maintaining total distance traveled 30 miles so correct answer a\"" + }, + { + "Answer": 3, + "Options": "a ) 4 : 9 , b ) 4 : 3 , c ) 4 : 5 , d ) 3 : 1 , e ) 4 : 2", + "Correct": "d", + "Explanation": "\"let us name the trains a and b . then , ( a ' s speed ) : ( b ' s speed ) = \u221a b : \u221a a = \u221a 36 : \u221a 4 = 6 : 2 = 3 : 1 answer : d\"" + }, + { + "Answer": 450, + "Options": "a ) 99 , b ) 450 , c ) 350 , d ) 882 , e ) 281", + "Correct": "b", + "Explanation": "\"speed = [ 300 / 18 ] m / sec = 50 / 3 m / sec . let the length of the platform be x meters . then , x + 300 / 45 = 50 / 3 3 ( x + 300 ) = 2250 \u00e8 x = 450 m . answer : b\"" + }, + { + "Answer": 1.75, + "Options": "a ) 1.75 , b ) 1 , c ) 2.25 , d ) 2.4 , e ) 3.2", + "Correct": "a", + "Explanation": "the distance between the the starting point and the turning point was 350 meters . the boy made the round trip 5 times so that was 10 times he traveled 350 meters . 10 * 350 = 3500 meters or 3.5 km . 30 minutes is half of an hour . divide the 3500 meters in half to put in the right time interval 3500 / 2 = 1750 meters or 1.75 km correct answer is a" + }, + { + "Answer": 675, + "Options": "a ) 675 , b ) 778 , c ) 654 , d ) 412 , e ) 589", + "Correct": "a", + "Explanation": "\"let x be the number of days the company worked . then 25 x is the number of parts they planned to make . at the new production rate they made : 3 \u22c5 25 + ( x \u2212 3 ) \u22c5 30 = 75 + 30 ( x \u2212 3 ) therefore : 25 x = 75 + 30 ( x \u2212 3 ) \u2212 100 25 x = 75 + 30 x \u2212 90 \u2212 100 190 \u2212 75 = 30 x \u2212 25 115 = 5 x x = 23 so the company worked 23 days and they made 23 \u22c5 25 + 100 = 675 pieces . correct answer is a ) 675\"" + }, + { + "Answer": 30, + "Options": "a ) 35 m east , b ) 35 m north , c ) 30 m west , d ) 45 m west , e ) 30 m east", + "Correct": "e", + "Explanation": "\"the net distance is 20 + 10 = 30 meters to the east . the answer is e .\"" + }, + { + "Answer": 0.5, + "Options": "a ) 1 / 12 , b ) 5 / 12 , c ) 1 / 6 , d ) 1 / 2 , e ) 1 / 5", + "Correct": "d", + "Explanation": "\"the question asks : how far apart will they be 1 minute = 1 / 60 hours before they collide ? since the combined rate of the boats is 5 + 25 = 30 mph then 1 / 60 hours before they collide they ' ll be rate * time = distance - - > 30 * 1 / 60 = 1 / 2 miles apart . answer : d .\"" + }, + { + "Answer": 23.999999999999996, + "Options": "a ) 49 , b ) 99 , c ) 24 , d ) 88 , e ) 21", + "Correct": "c", + "Explanation": "b = 1 / 8 \u2013 1 / 2 = 1 / 24 = > 24 days answer : c" + }, + { + "Answer": 25, + "Options": "a ) 25 min , b ) 20 min , c ) 10 min , d ) 15 min , e ) 30 min", + "Correct": "a", + "Explanation": "t = 1 / 2 ( 25 * 50 / 50 - 25 ) = 25 minutes tank is filled in 25 minutes answer is a" + }, + { + "Answer": 1350, + "Options": "a ) 180 , b ) 1800 , c ) 18 , d ) 18000 , e ) 1350", + "Correct": "e", + "Explanation": "\"area of the hall = 3600 * 1500 area of each stone = ( 80 * 50 ) therefore , number of stones = ( 3600 * 1500 / 80 * 50 ) = 1350 answer : e\"" + }, + { + "Answer": 320, + "Options": "a ) 320 , b ) 240 , c ) 369 , d ) 489 , e ) 125", + "Correct": "a", + "Explanation": "\"4 men 40 acres 15 days 16 men ? 30 days 40 * 16 / 4 * 30 / 15 40 * 4 * 2 40 * 8 = 320 answer : a\"" + }, + { + "Answer": 255, + "Options": "a ) 255 , b ) 285 , c ) 315 , d ) 345 , e ) 375", + "Correct": "a", + "Explanation": "\"45 km / h = 45000 m / 3600 s = 12.5 m / s in 30 seconds , the train can go 30 ( 12.5 ) = 375 meters let x be the length of the bridge . x + 120 = 375 meters x = 255 meters the answer is a .\"" + }, + { + "Answer": 3, + "Options": "a ) 2 , b ) 2.5 , c ) 3 , d ) 3.5 , e ) 4", + "Correct": "c", + "Explanation": "time = 8 / 4 + 8 / 8 = 3 hours the answer is c ." + }, + { + "Answer": 90, + "Options": "a ) 1 \u2044 3 , b ) 4 \u2044 3 , c ) 90 , d ) 120 , e ) 180", + "Correct": "c", + "Explanation": "\"1 item takes 2 / 3 min so it takes 60 min to produce x 2 x / 3 = 60 the x = 90 answer : c\"" + }, + { + "Answer": 6, + "Options": "['a ) 4.00', 'b ) 6.00', 'c ) 5.50', 'd ) 6.50', 'e ) 6.75']", + "Correct": "b", + "Explanation": "we are given that a sucrose solution contains 10 grams of sucrose per 100 cubic centimeters of solution . since we are dealing with a solution , we know that the grams of sucrose is proportional to the number of cubic centimeters of solution . thus , to determine how many grams of sucrose would be in the container when we have 60 cubic centimeters of solution , we can set up a proportion . we can say : \u201c 10 grams of sucrose is to 100 cubic centimeters of solution as x grams of sucrose is to 60 cubic centimeters of solution . \u201d let \u2019 s now set up the proportion and solve for x . 10 / 100 = x / 60 when we cross multiply we obtain : ( 10 ) ( 60 ) = 100 x 600 = 100 x 6.00 = x there are 6.00 grams of sucrose in the solution in the container . the answer is b ." + }, + { + "Answer": 239.98080153587716, + "Options": "a ) 240 sec , b ) 165 sec , c ) 186 sec , d ) 167 sec , e ) 168 sec", + "Correct": "a", + "Explanation": "\"time taken to meet for the first time at the starting point = lcm { length of the track / speed of a , length of the track / speed of b } = lcm { 1200 / ( 36 * 5 / 18 ) , 1200 / ( 54 * 5 / 18 ) } = lcm ( 120 , 80 ) = 240 sec . answer : a\"" + }, + { + "Answer": 44, + "Options": "a ) 46 , b ) 47 , c ) 58 , d ) 44 , e ) 54", + "Correct": "d", + "Explanation": "\"cloth bought by john = 9.25 m cost of 9.25 m = $ 407 cost per metre = 407 \u00f7 9.25 the cost of the cloth per metre = $ 44 answers : d\"" + }, + { + "Answer": 2.6, + "Options": "a ) 2.6 , b ) 5.6 , c ) 6.3 , d ) 8 , e ) 10", + "Correct": "a", + "Explanation": "let the speed be ' s ' and let the distance between rose and poppy be ' x ' the problem boils down to : rose to poppy : s + 3 = x / 6 - - - - - - - 1 daisy to rose : s = ( x + 8 ) / 10 - - - - - - 2 so from 1 we can re write x as x = 6 s + 18 substitute the value of x in 2 gives us s = 2.6 m / s a" + }, + { + "Answer": 18, + "Options": "a ) 20 m , b ) 16 m , c ) 11 m , d ) 10 m , e ) 18 m", + "Correct": "e", + "Explanation": "explanation : the difference in the timing of a and b is 5 seconds . hence , a beats b by 5 seconds . the distance covered by b in 5 seconds = ( 90 * 5 ) / 25 = 18 m hence , a beats b by 18 m . answer e" + }, + { + "Answer": 130, + "Options": "a ) 130 , b ) 125 , c ) 140 , d ) 154 , e ) 145", + "Correct": "a", + "Explanation": "angle traced by hour hand in 12 hrs . = 360 \u00e2 \u00b0 . abgle traced it in 11 / 3 hrs = ( 360 / 12 * 11 / 3 ) = 110 angle traced by min hand in 60 min = 360 angle traced by it in 40 min = ( 360 / 60 * 40 ) = 240 req ( 240 - 110 ) = 130 d" + }, + { + "Answer": 216, + "Options": "a ) 200 , b ) 182 , c ) 216 , d ) 127 , e ) 400", + "Correct": "c", + "Explanation": "\"60 * 18 / 5 = 216 kmph answer : c\"" + }, + { + "Answer": 1.0046511627906978, + "Options": "a ) 3.5 kmph . , b ) 2.5 kmph . , c ) 1 kmph . , d ) 1.5 kmph . , e ) 1.9 kmph .", + "Correct": "c", + "Explanation": "\"12 / 43 m / s = 12 / 43 * 18 / 5 = 1 ( 1 / 250 ) = 1 kmph . answer : c\"" + }, + { + "Answer": 45, + "Options": "a ) 25 , b ) 45 , c ) 55 , d ) 70 , e ) 30", + "Correct": "b", + "Explanation": "day 1 & 2 = 80 ; only day 1 & 2 ( 80 - 20 ) = 60 , day 2 & 3 = 70 ; only day 2 & 3 ( 70 - 20 ) = 50 , only day 1 = 175 - ( 60 + 50 + 20 ) = 45 answer : b" + }, + { + "Answer": 28, + "Options": "a ) 28 sec , b ) 32 sec , c ) 36 sec , d ) 38 sec , e ) 40 sec", + "Correct": "a", + "Explanation": "\"relative speed = ( 25 + 2 ) km / hr = 27 km / hr = ( 27 \u00d7 5 / 18 ) m / sec = 15 / 2 m / sec . time taken by the train to pass the man = ( 210 \u00d7 2 / 15 ) sec = 28 sec answer : a\"" + }, + { + "Answer": 382.2307692307692, + "Options": "a ) 381 , b ) 382 , c ) 383 , d ) 384 , e ) 385", + "Correct": "c", + "Explanation": "the diff in sec between 1 : 57 : 58 and 3 : 20 : 47 is 4969 sec , 4969 / 13 = 382 . so total 383 times light ll glow answer : c" + }, + { + "Answer": 4, + "Options": "a ) 2 : 5 , b ) 2 : 3 , c ) 1 : 8 , d ) 4 : 1 , e ) 3 : 2", + "Correct": "d", + "Explanation": "7 m + 2 b = 6 ( 1 m + 1 b ) 7 m + 2 b = 6 m + 6 b 1 m = 4 b the required ratio of work done by a man and a boy = 4 : 1 answer : d" + }, + { + "Answer": 1.2068965517241381, + "Options": "a ) 1 / 5 , b ) 29 / 35 , c ) 5 / 6 , d ) 35 / 29 , e ) 35 / 12", + "Correct": "d", + "Explanation": "now d should be the answer . r need 5 hours to complete and b needs 7 hours to compete so 2 r + 3 b will complete 2 / 5 + 3 / 7 or 29 / 35 portion of the job in 1 hour so the whole job will take 35 / 29 hours . . . . = d" + }, + { + "Answer": 35.199999999999996, + "Options": "a ) 86.6 km , b ) 46.6 km , c ) 35.2 km , d ) 35.6 km , e ) 26.6 km", + "Correct": "c", + "Explanation": "\"speed downstream = ( 42 + 6 ) = 48 kmph time = 44 minutes = 44 / 60 hour = 11 / 15 hour distance travelled = time \u00d7 speed = 11 / 15 \u00d7 48 = 35.2 km answer : c\"" + }, + { + "Answer": 42, + "Options": "a ) 16 days . , b ) 17 days . , c ) 18 days . , d ) 19 days . , e ) 42 days .", + "Correct": "e", + "Explanation": "\"they together completed 4 / 10 work in 4 days . balance 6 / 10 work will be completed by arun alone in 70 * 6 / 10 = 42 days . answer : e\"" + }, + { + "Answer": 12, + "Options": "a ) 2.5 , b ) 3.0 , c ) 4.0 , d ) 6.5 , e ) 12.0", + "Correct": "e", + "Explanation": "\"let initial volume of ice be = x ice remaining after 1 hour = x - 0.75 x = 0.25 x ice remaining after 2 hour = ( 1 / 4 ) x - ( 3 / 4 * 1 / 4 * x ) = ( 1 / 16 ) x ( 1 / 16 ) x = 0.75 x = 12 alternate solution : try to backsolve . initial volume = 12 after one hour - - > ( 1 / 4 ) 12 = 3 after two hours - - > ( 1 / 4 ) 3 = 0.75 answer : e\"" + }, + { + "Answer": 4, + "Options": "a ) 4 days , b ) 5 days , c ) 6 days , d ) 8 days , e ) 2 days", + "Correct": "a", + "Explanation": "let 1 man ' s 1 day ' s work = x and 1 boy ' s 1 day ' s work = y . then , 6 x + 8 y = 1 / 10 and 26 x + 48 y = 1 / 2 solving these two equations , we get : x = 1 / 100 and y = 1 / 200 ( 15 men + 20 boy ) ' s 1 day ' s work = ( 15 / 100 + 20 / 200 ) = 1 / 4 . 15 men and 20 boys can do the work in 4 days . answer : a" + }, + { + "Answer": 7, + "Options": "a ) 76 kmph , b ) 6 kmph , c ) 14 kmph , d ) 7 kmph , e ) 4 kmph", + "Correct": "d", + "Explanation": "\"speed downstream = d / t = 78 / ( 2 ) = 39 kmph speed upstream = d / t = 50 / ( 2 ) = 25 kmph the speed of the stream = ( 39 - 25 ) / 2 = 7 kmph answer : d\"" + }, + { + "Answer": 200, + "Options": "a ) 1 \u2044 3 , b ) 4 \u2044 3 , c ) 80 , d ) 200 , e ) 180", + "Correct": "d", + "Explanation": "\"1 item takes 3 / 5 min so it takes 120 min to produce x 3 x / 5 = 120 the x = 200 answer : d\"" + }, + { + "Answer": 41.42857142857143, + "Options": "a ) 41.4 , b ) 34.1 , c ) 13.4 , d ) 12.4 , e ) 10.8", + "Correct": "a", + "Explanation": "\"break down the problem into two pieces : typing and editing . mary needs 30 hours to type the report - - > mary ' s typing rate = 1 / 30 ( rate reciprocal of time ) ( point 1 in theory below ) ; mary and jim can type up a report in 12.5 and - - > 1 / 30 + 1 / x = 1 / 12.5 = 2 / 25 ( where x is the time needed for jim to type the report alone ) ( point 23 in theory below ) - - > x = 150 / 7 ; jim needs 12 hours to edit the report - - > jim ' s editing rate = 1 / 12 ; mary and jim can edit a report in 7.5 and - - > 1 / y + 1 / 12 = 1 / 7.5 = 2 / 15 ( where y is the time needed for mary to edit the report alone ) - - > y = 20 ; how many e hours will it take if jim types the report and mary edits it immediately after he is done - - > x + y = 150 / 7 + 20 = ~ 41.4 answer : a .\"" + }, + { + "Answer": 150, + "Options": "a ) 288 , b ) 279 , c ) 277 , d ) 272 , e ) 150", + "Correct": "e", + "Explanation": "\"speed = 60 * 5 / 18 = 50 / 3 m / sec length of the train = speed * time = 50 / 3 * 9 = 150 m answer : e\"" + }, + { + "Answer": 49, + "Options": "a ) 275 days , b ) 178 days , c ) 185 days , d ) 175 days , e ) 675 days", + "Correct": "d", + "Explanation": "explanation : no explanation is available for this question ! answer : d" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", + "Correct": "a", + "Explanation": "\"let 1 men ' s 1 day work = x and 1 boy ' s 1 day work = y . then , 6 x + 8 y = 1 / 10 and 26 x + 48 y = 1 / 2 solving these two equations , we get : x = 1 / 100 and y = 1 / 200 ( 15 men + 20 boys ) ' s 1 day work = ( 15 / 100 + 20 / 200 ) = 1 / 4 15 men and 20 boys can do the work in 4 days . answer : a\"" + }, + { + "Answer": 1.5, + "Options": "a ) 1.5 kmph , b ) 4 kmph , c ) 16 kmph , d ) 2.5 kmph , e ) 26 kmph", + "Correct": "a", + "Explanation": "\"speed of the stream = 1 / 2 ( 11 - 8 ) kmph = 1.5 kmph . correct option : a\"" + }, + { + "Answer": 163, + "Options": "a ) 145 m , b ) 176 m , c ) 168 m , d ) 163 m , e ) 218 m", + "Correct": "d", + "Explanation": "by the time a covers 1000 m , b covers ( 1000 - 70 ) = 930 m . by the time b covers 1000 m , c covers ( 1000 - 100 ) = 900 m . so , the ratio of speeds of a and c = 1000 / 930 * 1000 / 900 = 1000 / 837 so , by the time a covers 1000 m , c covers 837 m . so in 1000 m race a beats c by 1000 - 837 = 163 m . answer : d" + }, + { + "Answer": 140, + "Options": "a ) rs . 80 , b ) rs . 185 , c ) rs . 140 , d ) rs . 295 , e ) none of these", + "Correct": "c", + "Explanation": "\"sp of 1 m of cloth = 4500 / 30 = rs . 150 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 150 - rs . 10 = rs . 140 . answer : c\"" + }, + { + "Answer": 190, + "Options": "a ) 287 cm 2 , b ) 190 cm 2 , c ) 180 cm 2 , d ) 785 cm 2 , e ) 295 cm 2", + "Correct": "b", + "Explanation": "\"explanation : area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 10 ) = 190 cm 2 answer : option b\"" + }, + { + "Answer": 9, + "Options": "a ) 24 , b ) 17 , c ) 18 , d ) 9 , e ) 11", + "Correct": "d", + "Explanation": "\"explanation : less men , means more days { indirect proportion } let the number of days be x then , 72 : 36 : : 18 : x x = 9 answer : d ) 9 days\"" + }, + { + "Answer": 265.1515151515152, + "Options": "a ) 210 , b ) 245 , c ) 230 , d ) 254 , e ) 265", + "Correct": "e", + "Explanation": "distance to be covered in 1 min . = ( 60 x 1000 ) / ( 60 ) m = 1000 m . circumference of the wheel = ( 2 x ( 22 / 7 ) x 0.60 ) m = 3.77 m . number of revolutions per min . = ( 1000 / 3.77 ) = 265 e" + }, + { + "Answer": 36, + "Options": "a ) 15 kmph , b ) 36 kmph , c ) 21 kmph , d ) 17 kmph , e ) 19 kmph", + "Correct": "b", + "Explanation": "let the speed of the goods train be x kmph . distance covered by goods train in 10 hours = distance covered by express train in 4 hours 10 x = 4 x 90 or x = 36 . so , speed of goods train = 36 kmph . ans : b" + }, + { + "Answer": 142, + "Options": "a ) $ 50 , b ) $ 142 , c ) $ 60 , d ) $ 100 , e ) $ 90", + "Correct": "b", + "Explanation": "\"rahul ' s wages : rajesh ' s wages = 1 / 3 : 1 / 2 = 2 : 3 rahul ' s share = 355 * 2 / 5 = $ 142 answer is b\"" + }, + { + "Answer": 3, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", + "Correct": "b", + "Explanation": "press f produces $ 5 bills @ 1000 per minute ( 60 sec ) so $ 500 in 6 secs press t produces $ 20 bills 200 per minute ( 60 sec ) so $ 400 in 6 secs . . so we can see f produces $ 100 in 6 secs or will print $ 50 in 3 secs . . ans 3 secs . . b" + }, + { + "Answer": 68, + "Options": "a ) $ 68 , b ) $ 40 , c ) $ 60 , d ) $ 100 , e ) $ 90", + "Correct": "a", + "Explanation": "\"rahul ' s wages : rajesh ' s wages = 1 / 3 : 1 / 2 = 2 : 3 rahul ' s share = 170 * 2 / 5 = $ 68 answer is a\"" + }, + { + "Answer": 30, + "Options": "a ) 26 , b ) 27 , c ) 28 , d ) 29 , e ) 30", + "Correct": "e", + "Explanation": "cara walks 12 km in the first two hours so there are 33 km remaining . when don starts walking , they complete a total of 11 km per hour . they will meet three hours after don starts walking . since cara walks for 5 hours , she walks 30 km . the answer is e ." + }, + { + "Answer": 552, + "Options": "a ) 233 , b ) 552 , c ) 376 , d ) 287 , e ) 166", + "Correct": "b", + "Explanation": "given that distance travelled in 1 st hour = 35 km and speed of the bus increases by 2 km after every one hour hence distance travelled in 2 nd hour = 37 km hence distance travelled in 3 rd hour = 39 km . . . total distance travelled = [ 35 + 37 + 39 + . . . ( 12 terms ) ] this is an arithmetic progression ( ap ) with first term , a = 35 , number of terms , n = 12 and common difference , d = 2 . the sequence a , ( a + d ) , ( a + 2 d ) , ( a + 3 d ) , ( a + 4 d ) , . . . is called an arithmetic progression ( ap ) where a is the first term and d is the common difference of the ap sum of the first n terms of an arithmetic progression ( ap ) , sn = n 2 [ 2 a + ( n \u2212 1 ) d ] where n = number of terms hence , [ 35 + 37 + 39 + . . . ( 12 terms ) ] = s 12 = 122 [ 2 \u00d7 35 + ( 12 \u2212 1 ) 2 ] = 6 [ 70 + 22 ] = 6 \u00d7 92 = 552 hence the total distance travelled = 552 km answer : b" + }, + { + "Answer": 20000, + "Options": "a ) 22877 , b ) 27778 , c ) 20000 , d ) 27999 , e ) 17799", + "Correct": "c", + "Explanation": "\"number of bricks = courtyard area / 1 brick area = ( 2500 \u00d7 1600 / 20 \u00d7 10 ) = 20000 answer : c\"" + }, + { + "Answer": 90, + "Options": "a ) 12 , b ) 75 , c ) 88 , d ) 54 , e ) 90", + "Correct": "e", + "Explanation": "\"s = ( 100 + 80 ) / 2 = 90 kmph answer : e\"" + }, + { + "Answer": 60, + "Options": "a ) 27 , b ) 70 , c ) 60 , d ) 80 , e ) 24", + "Correct": "c", + "Explanation": "\"us = 55 ds = 65 m = ( 55 + 65 ) / 2 = 60 answer : c\"" + }, + { + "Answer": 510, + "Options": "a ) s 510 , b ) s 780 , c ) s 880 , d ) s 480 , e ) s 980", + "Correct": "a", + "Explanation": "\"area of the plot = 110 m * 65 m = 7150 sq . m area of plot excluding gravel = 105 m * 60 m = 6300 sq . m area of gravel = 7150 sq . m - 6300 sq . m = 850 sq . m cost of building it = 850 sq . m * 60 = 51000 p in rs = 51000 / 100 = rs 510 answer : a\"" + }, + { + "Answer": 40, + "Options": "a ) 20 seconds , b ) 30 seconds , c ) 40 seconds , d ) 50 seconds , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 \u2217 2 / 25 = 40 seconds option c\"" + }, + { + "Answer": 1250, + "Options": "a ) 800 , b ) 600 , c ) 1250 , d ) 950 , e ) 1000", + "Correct": "c", + "Explanation": "divide 5 by 1 / 5 = 5 \u00f7 1 / 5 = 5 / 1 \u00f7 1 / 5 = 5 / 1 * 5 / 1 = 25 . then , multiply 50 by 25 to get 1250 in 5 hours , the airplane will cover 1250 miles answer is c ." + }, + { + "Answer": 17.998560115190784, + "Options": "a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22", + "Correct": "c", + "Explanation": "\"speed = 36 * 5 / 18 = 10 m / s time = 180 / 10 = 18 seconds the answer is c .\"" + }, + { + "Answer": 77.4, + "Options": "a ) 33 , b ) 77.4 , c ) 25 , d ) 22 , e ) 72", + "Correct": "b", + "Explanation": "\"sol : ( length of train + length of bridge ) = speed of train x time ( 250 + 180 ) = 20 x speed speed = 430 / 20 = 21.5 m / s = 77.4 km / h answer = b\"" + }, + { + "Answer": 6, + "Options": "a ) 2 days , b ) 4 days , c ) 5 days , d ) 6 days , e ) 9 days", + "Correct": "d", + "Explanation": "sax work done by afar 3 days : i j . . remzming war \u2014 1 . work done by ( a + b ) for 1 day : . work done by a for 1 day 6 days d" + }, + { + "Answer": 72.00000000000001, + "Options": "a ) 65 km , b ) 85 km , c ) 55 km , d ) 72 km , e ) 40 km", + "Correct": "d", + "Explanation": "let the distance between a and b be x km . total time = x / ( 21 + 3 ) + x / ( 21 - 3 ) = 7 = > x / 24 + x / 18 = 7 = > ( 4 x + 3 x ) / 72 = 7 = > x = 72 km . answer : d" + }, + { + "Answer": 24, + "Options": "['a ) 12', 'b ) 42', 'c ) 24', 'd ) 28', 'e ) 26']", + "Correct": "c", + "Explanation": "original number of sections = 16 - 3 = 13 original number of students = 24 x 13 = 312 present number of students = 21 x 16 = 336 number of new students admitted = 336 - 312 = 24 so the answer is option c ) 24 ." + }, + { + "Answer": 7.2, + "Options": "a ) 7 km / hr , b ) 7.2 km / hr , c ) 5.2 km / hr , d ) 10 km / hr , e ) 5 km / hr", + "Correct": "b", + "Explanation": "speed = 600 / 5 * 60 = 2 m / sec converting m / sec to km / hr . = 2 * 18 / 5 = 7.2 km / hr answer is b" + }, + { + "Answer": 300, + "Options": "a ) 150 , b ) 278 , c ) 179 , d ) 300 , e ) 191", + "Correct": "d", + "Explanation": "\": speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 18 = 300 meter answer : d\"" + }, + { + "Answer": 32, + "Options": "a ) 32 metre , b ) 28 metre , c ) 23 metre , d ) 15 metre , e ) 28 metre", + "Correct": "a", + "Explanation": "\"clearly , a beats b by 4 seconds now find out how much b will run in these 4 seconds speed of b = distance / time taken by b = 256 / 32 = 8 m / s distance covered by b in 4 seconds = speed \u00e3 \u2014 time = 8 \u00e3 \u2014 4 = 32 metre i . e . , a beat b by 32 metre answer is a\"" + }, + { + "Answer": 7, + "Options": "a ) 12 , b ) 8 , c ) 36 , d ) 5 , e ) 7", + "Correct": "e", + "Explanation": "\"40 - - - 5 ds = 8 ? - - - - 1 30 - - - - 5 us = 6 ? - - - - 1 m = ? m = ( 8 + 6 ) / 2 = 7 answer : e\"" + }, + { + "Answer": 15, + "Options": "a ) 3 , b ) 5 , c ) 10 , d ) 9 , e ) 15", + "Correct": "e", + "Explanation": "\"solution speed in still water = 1 / 2 ( 21 + 9 ) kmph . = 15 kmph . answer e\"" + }, + { + "Answer": 48.00000000000001, + "Options": "a ) 48 % , b ) 80 % , c ) 100 % , d ) 120 % , e ) 125 %", + "Correct": "a", + "Explanation": "\"for a , r = 8 / 2 pi . its capacity = ( 4 pi ) ^ 2 * 6 = 96 pi for b , r = 10 / pi . its capacity = ( 5 pi ) ^ 2 * 8 = 200 pi a / b = 96 pi / 200 pi = 0.48 a\"" + }, + { + "Answer": 40.00000000000001, + "Options": "a ) 27 , b ) 20 , c ) 40 , d ) 73 , e ) 72", + "Correct": "c", + "Explanation": "\"1 / 8 - 1 / x = 1 / 10 x = 40 answer : c\"" + }, + { + "Answer": 4, + "Options": "a ) 1 km , b ) 3 km , c ) 4 km , d ) 5 km , e ) 6 km", + "Correct": "c", + "Explanation": "\"distance = 10 * 24 / 60 = 4 km answer is c\"" + }, + { + "Answer": 70, + "Options": "a ) 80 kmph , b ) 60 kmph , c ) 70 kmph , d ) 90 kmph , e ) none of these", + "Correct": "c", + "Explanation": "\"as we know that speed = distance / time for average speed = total distance / total time taken thus , total distance = 225 + 370 = 595 km thus , total speed = 8.5 hrs or , average speed = 595 / 8.5 or , 70 kmph . answer : c\"" + }, + { + "Answer": 36.666666666666664, + "Options": "a ) 86.6 km , b ) 46.6 km , c ) 36.6 km , d ) 35.6 km , e ) 26.6 km", + "Correct": "c", + "Explanation": "\"speed downstream = ( 42 + 8 ) = 50 kmph time = 44 minutes = 44 / 60 hour = 11 / 15 hour distance travelled = time \u00d7 speed = 11 / 15 \u00d7 50 = 36.6 km answer : c\"" + }, + { + "Answer": 0.13333333333333333, + "Options": "a ) 1 / 9 , b ) 29 / 180 , c ) 26 / 143 , d ) 2 / 15 , e ) 39 / 121", + "Correct": "d", + "Explanation": "50 apprentices can finish the job in 4 hours , thus : 10 apprentices can finish the job in 4 * 5 = 20 hours ; in 1 hour 10 apprentices can finish 1 / 20 of the job . 30 journeymen can finish the same job in 4,5 hours , thus : 15 journeymen can finish the job in 6 * 2 = 12 hours ; in 1 hour 15 journeymen can finish 1 / 12 of the job . therefore , in 1 hour 10 apprentices and 15 journeymen can finish 1 / 20 + 1 / 12 = 2 / 15 of the job . answer : d ." + }, + { + "Answer": 72, + "Options": "a ) 50 hours , b ) 33 hours , c ) 72 hours , d ) 82 hours , e ) 92 hours", + "Correct": "c", + "Explanation": "part filled without leak in 1 hour = 1 / 8 part filled with leak in 1 hour = 1 / 9 work done by leak in 1 hour = 1 / 8 \u00e2 \u02c6 \u2019 1 / 9 = 72 hours answer : c" + }, + { + "Answer": 35, + "Options": "a ) 15 cm , b ) 25 cm , c ) 35 cm , d ) 42 cm , e ) 45 cm", + "Correct": "c", + "Explanation": "required length = h . c . f . of 700 cm , 385 cm and 1295 cm = 35 cm . answer : option c" + }, + { + "Answer": 46, + "Options": "a ) 46 , b ) 47 , c ) 58 , d ) 56 , e ) 54", + "Correct": "a", + "Explanation": "cloth bought by john = 9.25 m cost of 9.25 m = $ 425.50 cost per metre = 425.50 \u00f7 9.25 the cost of the cloth per metre = $ 46 answers : a" + }, + { + "Answer": 50, + "Options": "a ) 20 min , b ) 35 min , c ) 50 min , d ) 70 min , e ) none", + "Correct": "c", + "Explanation": "solution let original diameter be d metres . then , its circumference = ( \u03c0 d ) metres . time taken to cover ( 8 \u03c0 d ) m = 40 min . new diameter = ( 10 d ) m . then , its circumference = ( \u03c0 x 10 d ) m . time taken to go round it once \u2039 = \u203a [ 40 / 8 \u03c0 d x 10 \u03c0 d ] m \u2039 = \u203a 50 min . answer c" + }, + { + "Answer": 3.428571428571429, + "Options": "a ) 2.6 , b ) 2.8 , c ) 3.0 , d ) 3.2 , e ) 3.4", + "Correct": "e", + "Explanation": "\"the workers fill the truck at a rate of 1 / 6 + 1 / 8 = 14 / 48 = 7 / 24 of the truck per hour . then the time to fill one truck is 24 / 7 which is about 3.4 hours . the answer is e .\"" + }, + { + "Answer": 500.4549590536851, + "Options": "a ) 200 , b ) 250 , c ) 300 , d ) 500 , e ) none of these", + "Correct": "d", + "Explanation": "radius of the wheel of bus = 35 cm . then , circumference of wheel = 2 \u00ef \u20ac r = 70 \u00ef \u20ac = 220 cm distance covered by bus in 1 minute = 66 \u00e2 \u0081 \u201e 60 \u00e3 \u2014 1000 \u00e3 \u2014 100 cms distance covered by one revolution of wheel = circumference of wheel = 220 cm \u00e2 \u02c6 \u00b4 revolutions per minute = 6600000 / 60 \u00e3 \u2014 220 = 500 answer d" + }, + { + "Answer": 4.399648028157747, + "Options": "a ) 7 sec , b ) 6 sec , c ) 8 sec , d ) 4.4 sec , e ) 2 sec", + "Correct": "d", + "Explanation": "\"speed of train relative to man = 84 + 6 = 90 km / hr . = 90 * 5 / 18 = 25 m / sec . time taken to pass the men = 110 / 25 = 4.4 sec . answer : d\"" + }, + { + "Answer": 44, + "Options": "a ) 35 , b ) 38 , c ) 40 , d ) 42 , e ) 44", + "Correct": "e", + "Explanation": "\"explanation : let the number of correct answers be x . number of incorrect answers = ( 60 \u2013 x ) . 4 x \u2013 ( 60 \u2013 x ) = 160 = > 5 x = 220 = > x = 44 answer : e\"" + }, + { + "Answer": 277.1653543307087, + "Options": "a ) 174.2 , b ) 277 , c ) 288.1 , d ) 296 , e ) 282.4", + "Correct": "b", + "Explanation": "\"1.5 inch = 2.54 * 1.5 cm . so , 2.54 * 1.5 represents 24 miles . so for 44 cm . : 44 / ( 2.54 * 1.5 ) = x / 24 - - - > x = 24 * 44 / ( 3.81 ) = 277 answer will be b .\"" + }, + { + "Answer": 672, + "Options": "a ) 334 km . , b ) 216 km . , c ) 314 km . , d ) 224 km . , e ) 672 km .", + "Correct": "e", + "Explanation": "\"0.5 x / 21 + 0.5 x / 24 = 30 - - > x / 21 + x / 24 = 60 - - > x = 672 km . e\"" + }, + { + "Answer": 480, + "Options": "a ) 480 , b ) 488 , c ) 882 , d ) 269 , e ) 298", + "Correct": "a", + "Explanation": "1 / x - 1 / 20 = - 1 / 24 x = 120 120 * 4 = 480 answer : a" + }, + { + "Answer": 60, + "Options": "a ) 45 , b ) 48 , c ) 50 , d ) 52 , e ) 60", + "Correct": "e", + "Explanation": "\"the time it takes bob to drive to city b is 60 / 40 = 1.5 hours . alice needs to take less than 1 hour for the trip . alice needs to exceed a constant speed of 60 / 1 = 60 miles per hour . the answer is e .\"" + }, + { + "Answer": 18, + "Options": "a ) 28 , b ) 18 , c ) 24 , d ) 21 , e ) 16", + "Correct": "b", + "Explanation": "\"explanation : ( length 140 : 100 ) : ( persons 30 : 18 ) : : 42 : x 140 x 30 x x = 100 x 18 x 42 or x = 18 answer : b\"" + }, + { + "Answer": 8.076923076923077, + "Options": "a ) 7 min , b ) 6 min , c ) 9 min , d ) 8 min , e ) 11 min", + "Correct": "d", + "Explanation": "\"due to stoppages , it covers 7 km less . time taken to cover 7 km = ( 7 / 52 ) x 60 = 8 min answer : d\"" + }, + { + "Answer": 3600.000000000001, + "Options": "a ) 5729 , b ) 5760 , c ) 2889 , d ) 3600 , e ) 2799", + "Correct": "d", + "Explanation": "\"1 / x - 1 / 6 = - 1 / 8 x = 24 hrs 24 * 60 * 2.5 = 3600 . answer : d\"" + }, + { + "Answer": 25, + "Options": "a ) 5 days , b ) 10 days , c ) 14 days , d ) 22 days , e ) 25 days", + "Correct": "e", + "Explanation": "\"explanation : work done by p in 1 day = 1 / 40 work done by q in 1 day = 1 / 24 work done by p in 16 days = 16 \u00e3 \u2014 ( 1 / 40 ) = 2 / 5 remaining work = 1 \u00e2 \u20ac \u201c 2 / 5 = 3 / 5 work done by p and q in 1 day = 1 / 40 + 1 / 24 = 1 / 15 number of days p and q take to complete the remaining work = ( 3 / 5 ) / ( 1 / 15 ) = 9 total days = 16 + 9 = 25 answer : option e\"" + }, + { + "Answer": 6, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 12 , e ) none of these", + "Correct": "c", + "Explanation": "\"the part of job that suresh completes in 9 hours = 9 \u00e2 \u0081 \u201e 15 = 3 \u00e2 \u0081 \u201e 5 remaining job = 1 - 3 \u00e2 \u0081 \u201e 5 = 2 \u00e2 \u0081 \u201e 5 remaining job can be done by ashutosh in 2 \u00e2 \u0081 \u201e 5 \u00e3 \u2014 15 = 6 hours answer c\"" + }, + { + "Answer": 12, + "Options": "a ) 6.75 , b ) 7 , c ) 8 , d ) 12 , e ) 14", + "Correct": "d", + "Explanation": "\"let ' s suppose that speed while returning was xkm / h since the distance is same , we can apply the formula of avg speed avg speed = 2 s 1 s 2 / s 1 + s 2 6 = 2 * 4 * x / 4 + x x = 12 d is the answer\"" + }, + { + "Answer": 24, + "Options": "a ) 24 m , b ) 25 m , c ) 22.5 m , d ) 9 m , e ) 12 m", + "Correct": "a", + "Explanation": "\"distance covered by b in 9 sec . = 120 / 45 x 9 m = 24 m . a beats b by 24 metres . answer : option a\"" + }, + { + "Answer": 26.997840172786177, + "Options": "a ) 20 , b ) 27 , c ) 42 , d ) 32 , e ) 60", + "Correct": "b", + "Explanation": "\"speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 450 * 3 / 50 = 27 sec . answer : option b\"" + }, + { + "Answer": 60, + "Options": "a ) 60 , b ) 72 , c ) 48 , d ) 36 , e ) 64", + "Correct": "a", + "Explanation": "let the speed of bus be v - 30 , speed of taxi be v the bus travelled a total of 6 hrs and taxi a total of 3 hrs . hence 6 * ( v - 30 ) = 3 v 6 v - 180 = 3 v 3 v = 180 v = 60 mph a" + }, + { + "Answer": 56000, + "Options": "['a ) 64000 liters', 'b ) 56000 liters', 'c ) 78000 liters', 'd ) 60000 liters', 'e ) none of these']", + "Correct": "b", + "Explanation": "explanation : let x liter be the per day filling and v litr be the capacity of the reservoir , then 90 x + v = 40000 \u00d7 90 - - - - - ( 1 ) 60 x + v = 32000 \u00d7 60 - - - - - - ( 2 ) solving eq . ( 1 ) and ( 2 ) , we get x = 56000 hence , 56000 liters per day can be used without the failure of supply . answer : b" + }, + { + "Answer": 275, + "Options": "a ) 10 m , b ) 16 m , c ) 275 m , d ) 19 m , e ) 27 m", + "Correct": "c", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 100 + x ) / 30 = 25 / 2 = > 2 ( 100 + x ) = 750 = > x = 275 m . answer : c\"" + }, + { + "Answer": 245, + "Options": "a ) 140 , b ) 175 , c ) 210 , d ) 245 , e ) 280", + "Correct": "d", + "Explanation": "\"in 72 minutes , car x travels 42 miles . car y gains 6 miles each hour , so it takes 7 hours to catch car x . in 7 hours , car x travels 245 miles . the answer is d .\"" + }, + { + "Answer": 7, + "Options": "a ) 5 , b ) 24 , c ) 7 , d ) 42 , e ) 6", + "Correct": "c", + "Explanation": "\"36 - - - 6 ds = 6 ? - - - - 1 48 - - - - 6 us = 8 ? - - - - 1 m = ? m = ( 6 + 8 ) / 2 = 7 answer : c\"" + }, + { + "Answer": 3.333333333333333, + "Options": "a ) 10 / 3 , b ) 8 , c ) 9 , d ) 7 / 3 , e ) 12", + "Correct": "a", + "Explanation": "\"a can do the work in 10 / 2 i . e . , 5 days . a and b ' s one day ' s work = 1 / 5 + 1 / 10 = ( 2 + 1 ) / 10 = 10 / 3 so a and b together can do the work in 10 / 3 days . answer : a\"" + }, + { + "Answer": 160, + "Options": "a ) 288 , b ) 160 , c ) 188 , d ) 188 , e ) 12", + "Correct": "b", + "Explanation": "\"l = s * t s = 1500 / 120 s = 12.5 m / sec . total length ( d ) = 2000 m t = d / s t = 2000 / 12.5 t = 160 sec answer : b\"" + }, + { + "Answer": 20, + "Options": "a ) 30 , b ) 20 , c ) 19 , d ) 29 , e ) 39", + "Correct": "b", + "Explanation": "\"let 1 man does 1 unit / hr of work 15 m in 21 days of 8 hrs will do ( 15 * 21 * 8 ) units 3 w = 2 m 1 w = ( 2 / 3 ) units / hr 21 w with 9 hrs a day will take ( 15 * 21 * 8 ) / ( 21 * 9 * ( 2 / 3 ) ) days = > 20 days answer : b\"" + }, + { + "Answer": 3.428571428571429, + "Options": "a ) 8 / 15 , b ) 4 / 3 , c ) 15 / 8 , d ) 24 / 7 , e ) 15 / 4", + "Correct": "d", + "Explanation": "\"( 1 / 3 + 1 / 4 ) t = 2 t = 24 / 7 answer : d\"" + }, + { + "Answer": 32, + "Options": "a ) 32 , b ) 36 , c ) 38 , d ) 40 , e ) ( f ) 42", + "Correct": "a", + "Explanation": "\"jk = 4 lm = 10 kl = using distance formula 10 jm = using distance formula 8 sum of all is 32 a\"" + }, + { + "Answer": 300, + "Options": "a ) 398 km , b ) 892 km , c ) 387 km , d ) 300 km , e ) 230 km", + "Correct": "d", + "Explanation": "\"let the distance travelled be x km . total time = ( x / 2 ) / 30 + ( x / 2 ) / 25 = 11 = > x / 60 + x / 50 = 11 = > ( 5 x + 6 x ) / 300 = 11 = > x = 300 km answer : d\"" + }, + { + "Answer": 15, + "Options": "a ) 5 minutes , b ) 10 minutes , c ) 15 minutes , d ) 20 minutes , e ) 25 minutes", + "Correct": "c", + "Explanation": "if jenny can walk 1.5 miles in 30 minutes , then she can talk 0.75 miles in half the time i . e . 15 minutes . for jenny to be indifferent between the two routes , the two journeys must have the same travel time . the direct route has a travel time of 30 minutes ( walking ) . the indirect route has a travel time of 15 minutes ( walking ) plus the bus journey . for the two routes to be the same the bus journey must take 15 minutes ( 30 - 15 ) . answer : c" + }, + { + "Answer": 2, + "Options": "a ) 1.5 days , b ) 4 days , c ) 3 days , d ) 1 day , e ) 2 days", + "Correct": "e", + "Explanation": "c = 1 / 1 \u2013 1 / 2 = 1 / 2 = > 2 days answer : e" + }, + { + "Answer": 96, + "Options": "a ) 84 , b ) 88 , c ) 92 , d ) 96 , e ) 100", + "Correct": "d", + "Explanation": "originally , the distance the car could go on a full tank was 12 * 32 = 384 miles . after it has been modified , the car can go 32 / 0.8 = 40 miles per gallon . on a full tank , the car can go 12 * 40 = 480 miles , thus 96 miles more . the answer is d ." + }, + { + "Answer": 47, + "Options": "a ) 46 , b ) 47 , c ) 58 , d ) 56 , e ) 54", + "Correct": "b", + "Explanation": "\"cloth bought by john = 9.25 m cost of 9.25 m = $ 434.75 cost per metre = 434.75 \u00f7 9.25 the cost of the cloth per metre = $ 47 answers : b\"" + }, + { + "Answer": 11.999999999999998, + "Options": "a ) 13 , b ) 18 , c ) 12 , d ) 15 , e ) 17", + "Correct": "c", + "Explanation": "\"total vehicle = 1 / 3 of speedster + 2 / 3 of others . speedster convertibles = 1 / 3 total vehicle * 4 / 5 given : 2 / 3 constitutes 30 vehicles . hence 1 / 3 constitutes 15 speedster convertibls = 15 * 4 / 5 = 12 c\"" + }, + { + "Answer": 3, + "Options": "a ) 4 pm , b ) 6 pm , c ) 3 pm , d ) 10 pm , e ) 5 pm", + "Correct": "c", + "Explanation": "\"time of meeting = distance / relative speed = 24 / 7 + 5 = 24 / 12 = 2 hrs after 1 pm = 3 pm answer is c\"" + }, + { + "Answer": 450.00000000000006, + "Options": "a ) 186 m , b ) 176 m , c ) 450 m , d ) 150 m , e ) 765 m", + "Correct": "c", + "Explanation": "\"speed = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec length of the train = ( speed x time ) = ( 50 / 3 * 27 ) m = 450 m . answer : c\"" + }, + { + "Answer": 0.6428571428571429, + "Options": "a ) 1 / 2 , b ) 5 / 8 , c ) 9 / 14 , d ) 16 / 21 , e ) 9 / 10", + "Correct": "c", + "Explanation": "\"number of hours between 8 pm to 8 am = 12 number of hours with reduced rates = ( 12 * 5 ) + ( 24 * 2 ) hours with reduced rates x / total number of hours in a week = ( 12 * 5 ) + ( 24 * 2 ) / ( 24 * 7 ) = 108 / ( 24 * 7 ) = 9 / 14 answer : c\"" + }, + { + "Answer": 30.000000000000007, + "Options": "a ) 30 , b ) 45 , c ) 60 , d ) 90 , e ) 120", + "Correct": "a", + "Explanation": "\"whole trip = distance by foot + distance by bus + distance by car x = 1 / 5 x + 2 / 3 x + 4 x - 13 / 15 x = 4 2 / 15 x = 4 = > so x = ( 15 / 2 ) * 4 = 30 km answer a\"" + }, + { + "Answer": 16, + "Options": "a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20", + "Correct": "a", + "Explanation": "let the tree was broken at x meters height from the ground and 36 - x be the length of other part of the tree . from the diagram , ( 36 \u2212 x ) 2 = x 2 + 122 ( 36 \u2212 x ) 2 = x 2 + 122 \u21d2 1296 \u2212 72 x + x 2 = x 2 + 144 \u21d2 1296 \u2212 72 x + x 2 = x 2 + 144 \u21d2 72 x = 1296 \u2212 144 \u21d2 72 x = 1296 \u2212 144 \u21d2 x = 16 answer : a" + }, + { + "Answer": 2, + "Options": "a ) 8 , b ) 10 , c ) 2 , d ) 17 , e ) 19", + "Correct": "c", + "Explanation": "\"30 * 25 = 750 685 - - - - - - - - - - - 65 25 + 7.50 = 32.5 62 / 32.5 = 2 c\"" + }, + { + "Answer": 60.00000000000001, + "Options": "a ) 26 km / hr , b ) 17 km / hr , c ) 60 km / hr , d ) 77 km / hr , e ) 46 km / hr", + "Correct": "c", + "Explanation": "\"let the speed of the slower train be x m / sec . then , speed of the train = 2 x m / sec . relative speed = ( x + 2 x ) = 3 x m / sec . ( 100 + 100 ) / 8 = 3 x = > x = 25 / 3 . so , speed of the faster train = 50 / 3 = 50 / 3 * 18 / 5 = 60 km / hr . answer : c\"" + }, + { + "Answer": 99, + "Options": "a ) 198 mph , b ) 110 mph , c ) 88 mph , d ) 100 mph , e ) 99 mph", + "Correct": "e", + "Explanation": "\"( 110 mph + 88 mph ) / 2 = 99 mph correct answer is : e\"" + }, + { + "Answer": 195, + "Options": "a ) 205 km , b ) 195 km , c ) 295 km , d ) 115 km , e ) 215 km", + "Correct": "b", + "Explanation": "\"t = 3 hrs d = t * s = 65 * 3 = 195 km answer is b\"" + }, + { + "Answer": 0.08333333333333333, + "Options": "a ) 1 / 15 , b ) 1 / 16 , c ) 1 / 11 , d ) 1 / 10 , e ) 1 / 12", + "Correct": "e", + "Explanation": "\"part of the filled by all the three pipes in one minute = 1 / 18 + 1 / 21 - 1 / 45 = 1 / 12 so , the tank becomes full in 12 minutes . answer : e\"" + }, + { + "Answer": 15, + "Options": "a ) 6 days , b ) 18 days , c ) 21 days , d ) 3 days , e ) 15 days", + "Correct": "e", + "Explanation": "we have the important relation , more work , more time ( days ) a piece of work can be done in 5 days . three times of work of same type can be done in 5 x 3 = 15 days answer e" + }, + { + "Answer": 250, + "Options": "a ) 50 , b ) 100 , c ) 250 , d ) 300 , e ) 400", + "Correct": "c", + "Explanation": "men required to finish the work in 2 days = 50 * 100 / 20 = 250 answer is c" + }, + { + "Answer": 48, + "Options": "a ) 48 kmph , b ) 50 kmph , c ) 52 kmph , d ) 56 kmph , e ) 60 kmph", + "Correct": "a", + "Explanation": "\"time = 6 distence = 432 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 432 / 9 = 48 kmph a\"" + }, + { + "Answer": 10, + "Options": "['a ) 5', 'b ) 10', 'c ) 15', 'd ) 20', 'e ) 25']", + "Correct": "b", + "Explanation": "when the perimeter of a triangle is 52 units each side is 13 units next , the diagonal of a rhombus bisect each other at 90 degree thus the half of the diagonal is 12 units now in a right angle triangle so formed , the perpendicular is 12 and the hypptenuse is 13 ( that is the side of the triangle ) finding the base ( which is half of the other diagonal ) : 13 ^ 2 - 12 ^ 2 = 25 thus half of the diagonal is 5 and the diagonal is 10 units answer : b" + }, + { + "Answer": 2, + "Options": "a ) 5 hours , b ) 4 hours , c ) 3 hours , d ) 2 hours , e ) 1 hours", + "Correct": "d", + "Explanation": "\"explanation : speed upstream = 3 / 3 = 1 km / hr speed downstream = 1 / ( 30 / 60 ) = 2 km / hr speed in still water = 1 / 2 ( 2 + 1 ) = 3 / 2 km / hr time taken to travel 3 km in still water = 3 / ( 3 / 2 ) = 6 / 3 = 2 hours answer : option d\"" + }, + { + "Answer": 5, + "Options": "a ) 6 days , b ) 4 days , c ) 5 days , d ) 15 days , e ) 10 days", + "Correct": "c", + "Explanation": "\"the length of cloth painted by one woman in one day = 400 / 8 \u00d7 5 = 10 m no . of days required to paint 500 m cloth by 10 women = 500 / 10 \u00d7 10 = 5 days answer : c\"" + }, + { + "Answer": 1050, + "Options": "a ) 1000 , b ) 1050 , c ) 1060 , d ) 370 , e ) 380", + "Correct": "b", + "Explanation": "\"speed = 900 / 18 = 50 / 1 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 39 = 50 / 1 = > x = 1950 m . l = 1950 - 900 = 1050 answer : option b\"" + }, + { + "Answer": 120, + "Options": "['a ) 120 cm cube', 'b ) 110 cm cube', 'c ) 220 cm cube', 'd ) 430 cm cube', 'e ) 480 cm cube']", + "Correct": "a", + "Explanation": "area of a cuboid = lxbxh = 4 cm x 6 cm x 5 cm = 120 cm cube answer : a" + }, + { + "Answer": 720, + "Options": "a ) 660 , b ) 680 , c ) 720 , d ) 760 , e ) 800", + "Correct": "c", + "Explanation": "\"total distance traveled = 1800 km . distance traveled by plane = 600 km . distance traveled by bus = x distance traveled by train = 2 x / 3 x + 2 x / 3 + 600 = 1800 5 x / 3 = 1200 x = 720 km the answer is c .\"" + }, + { + "Answer": 270, + "Options": "a ) 228 , b ) 2000 , c ) 267 , d ) 270 , e ) 274", + "Correct": "d", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec . time = 26 sec . let the length of the train be x meters . then , ( x + 250 ) / 26 = 20 x = 270 m . answer : d\"" + }, + { + "Answer": 370, + "Options": "a ) 299 , b ) 277 , c ) 276 , d ) 370 , e ) 281", + "Correct": "d", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec . time = 26 sec . let the length of the train be x meters . then , ( x + 150 ) / 26 = 20 x = 370 m . answer : d\"" + }, + { + "Answer": 20, + "Options": "a ) 20 sec , b ) 15 sec , c ) 30 sec , d ) 50 sec , e ) 1 min", + "Correct": "a", + "Explanation": "they meet every 300 / 7 + 8 = 20 sec answer is a" + }, + { + "Answer": 50, + "Options": "a ) 60 , b ) 50 , c ) 70 , d ) 55 , e ) 40", + "Correct": "b", + "Explanation": "8 + 2 + 1.5 + . 5 + 1 + . 5 + . 5 + 2 = 16 = total number of hours 8 / 16 = . 05 = 50 percemt the answer is b" + }, + { + "Answer": 1485, + "Options": "a ) 2574 , b ) 2500 , c ) 1485 , d ) 1574 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : hcf * lcm = 17820 , because we know product of two numbers = product of hcf and lcm lcm = 17820 / 12 = 1485 option c\"" + }, + { + "Answer": 31.50774690151576, + "Options": "a ) 31.5 , b ) 28 , c ) 98 , d ) 37 , e ) 13", + "Correct": "a", + "Explanation": "\"36 / 7 r = 162 = > r = 31.5 answer : a\"" + }, + { + "Answer": 44, + "Options": "a ) 22 hours , b ) 30 hours , c ) 44 hours , d ) 60 hours , e ) it can not be determined from the information above .", + "Correct": "c", + "Explanation": "\"say the rates of machines a , b and c are a , b , and c , respectively . together 15 type a machines and 7 type b machines can complete a certain job in 4 hours - - > 15 a + 7 b = 1 / 4 ; together 8 type b machines and 15 type c machines can complete the same job in 11 hours - - > 8 b + 15 c = 1 / 11 . sum the above : 15 a + 15 b + 15 c = 1 / 4 + 1 / 11 = 15 / 44 - - > reduce by 15 : a + b + c = 1 / 44 - - > so , the combined rate of the three machines is 1 / 44 job / hour - - > time is reciprocal of the rate , thus machines a , b and c can do the job r in 44 hours . answer : c .\"" + }, + { + "Answer": 1, + "Options": "a ) 1 : 1 , b ) 3 : 1 , c ) 2 : 3 , d ) 3 : 2 , e ) 3 : 4", + "Correct": "a", + "Explanation": "let the speed of the trains be x and y respectively length of train 1 = 27 x length of train 2 = 17 y relative speed = x + y time taken to cross each other = 22 s = ( 27 x + 17 y ) / ( x + y ) = 22 = ( 27 x + 17 y ) / = 22 ( x + y ) = 5 x = 5 y = x / y = 5 / 5 = 1 / 1 i . e 1 : 1 answer : a" + }, + { + "Answer": 180, + "Options": "a ) 172 , b ) 160 , c ) 150 , d ) 180 , e ) 120", + "Correct": "d", + "Explanation": "\"25 * 18 / 5 = 180 kmph answer : d\"" + }, + { + "Answer": 12.399008079353651, + "Options": "a ) 82.1 sec . , b ) 12.4 sec , c ) 19.1 sec . , d ) 17.1 sec . , e ) 42.1 sec .", + "Correct": "b", + "Explanation": "speed = 72 * 5 / 18 = 20 m / sec total distance covered = 110 + 138 = 248 m . required time = 248 / 20 = 12.4 sec . answer : b" + }, + { + "Answer": 19.99840012798976, + "Options": "a ) 10 sec , b ) 20 sec , c ) 25 sec , d ) 30 sec , e ) 35 sec", + "Correct": "b", + "Explanation": "distance = length of train = 200 meters speed = 36 kmph = 36 * 5 / 18 = 10 m / s required time = 200 / 10 = 20 sec answer is b" + }, + { + "Answer": 3, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 3 , e ) 13", + "Correct": "d", + "Explanation": "\"one monkey takes 3 min to eat 1 banana , so in 6 mins 1 monkey will eat 2 bananas , so for 6 bananas in 6 min we need 6 / 2 = 3 monkeys answer : d\"" + }, + { + "Answer": 192, + "Options": "a ) 221 , b ) 190 , c ) 192 , d ) 191 , e ) 121", + "Correct": "c", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 8 ) / 40 = 200 sec . time taken by a = 200 - 8 = 192 sec . answer : c\"" + }, + { + "Answer": 7.4994000479961604, + "Options": "a ) 2.5 sec , b ) 9.7 sec , c ) 3.5 sec , d ) 2.9 sec , e ) 7.5 sec", + "Correct": "e", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 300 / 40 = 7.5 sec . answer : e\"" + }, + { + "Answer": 6.000000000000002, + "Options": "a ) 12 , b ) 9 , c ) 8 , d ) 6 , e ) 5", + "Correct": "d", + "Explanation": "\"a ' s 1 hour ' s work = 1 / 3 ; ( b + c ) ' s 1 hour ' s work = 1 / 3 ; ( a + c ) ' s 1 hour ' s work = 1 / 2 . ( a + b + c ) ' s 1 hour ' s work = ( 1 / 3 + 1 / 3 ) = 2 / 3 . b ' s 1 hour ' s work = ( 2 / 3 - 1 / 2 ) = 1 / 6 . therefore a alone will take 6 hours to do the work . d\"" + }, + { + "Answer": 77.5, + "Options": "a ) 100 seconds , b ) 112.5 seconds , c ) 77.5 seconds , d ) 87.5 seconds , e ) none", + "Correct": "c", + "Explanation": "explanatory answer a gives b a start of 25 metres and still wins the race by 10 seconds . alternatively , if a gives b a start of 45 metres , then the race ends in a dead heat . therefore , the additional 20 metres start given to b compensates for the 10 seconds . i . e . , b runs 20 metres in 10 seconds . hence , b will take 100 seconds to run 200 metres . we know that a gives b a start of 45 metres . b will take 22.5 seconds to run this 45 metres as b runs 20 metres in 10 seconds or at the speed of 2 m / s . hence , a will take 22.5 seconds lesser than b or 100 - 22.5 = 77.5 seconds to complete the race . answer c" + }, + { + "Answer": 280, + "Options": "a ) 280 , b ) 490 , c ) 720 , d ) 435 , e ) 679", + "Correct": "a", + "Explanation": "\"let x be the number of days in the initial plan . therefore , the whole field is 340 \u00e2 \u2039 \u2026 x hectares . the farmer had to work for x + 2 days , and he ploughed 85 ( x + 2 ) hectares , leaving 40 hectares unploughed . then we have the equation : 340 x = 85 ( x + 2 ) + 40 255 x = 210 x = 0.823 so the farmer planned to have the work done in 6 days , and the area of the farm field is 340 ( 0.823 ) = 280 hectares correct answer a\"" + }, + { + "Answer": 16, + "Options": "a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", + "Correct": "c", + "Explanation": "the work done by p in 1 day = 1 / 26 let work done by q in 1 day = q q \u00d7 ( 160 / 100 ) = 1 / 26 q = 100 / ( 26 \u00d7 160 ) = 10 / ( 26 \u00d7 16 ) the work done by p and q in 1 day = 1 / 26 + 10 / ( 26 \u00d7 16 ) = 26 / ( 26 \u00d7 16 ) = 1 / 16 p and q together can do the work in 16 days . the answer is c ." + }, + { + "Answer": 3.9669421487603307, + "Options": "a ) 3.6 secs , b ) 4.00 secs , c ) 40 secs , d ) 45 secs , e ) none of these", + "Correct": "b", + "Explanation": "if friend hears sound after t secs , then 330 * t = 1200 + ( 108 * 5 / 18 ) * t 300 t = 1200 t = 4 secs answer : b" + }, + { + "Answer": 0.16666666666666666, + "Options": "a ) 1 / 14 , b ) 1 / 20 , c ) 1 / 13 , d ) 1 / 7 , e ) 1 / 6", + "Correct": "e", + "Explanation": "\"probability that john and david will both be chosen out of 8 workers = ( 2 / 4 ) * ( 1 / 3 ) = 1 / 6 answer e\"" + }, + { + "Answer": 9, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", + "Correct": "a", + "Explanation": "\"the time to go 36 miles was 12 / 8 + 24 / 12 = 1.5 + 2 = 3.5 hours . the average speed for the return trip was 36 miles / 4 hours = 9 mph . the answer is a .\"" + }, + { + "Answer": 144.00000000000003, + "Options": "a ) 132 , b ) 138 , c ) 144 , d ) 150 , e ) 156", + "Correct": "c", + "Explanation": "pump a can empty ( 1 / 4 ) of the pool per hour . pump b can empty ( 1 / 6 ) of the pool per hour . together the pumps can empty 1 / 4 + 1 / 6 = 5 / 12 of the pool per hour . 1 pool / ( 5 / 12 ) pool per hour = 12 / 5 hours = 144 minutes . the answer is c ." + }, + { + "Answer": 35.11707782401829, + "Options": "a ) 32.52 , b ) 32.47 , c ) 34.97 , d ) 32.92 , e ) 32.33", + "Correct": "c", + "Explanation": "\"36 / 7 r = 6.3 = 34.97 answer : c\"" + }, + { + "Answer": 35, + "Options": "a ) 35 , b ) 55 , c ) 39 , d ) 40 , e ) 60", + "Correct": "a", + "Explanation": "carla starts 30 minutes later and it takes 3 hr for carla to meet jerry so jerry total time travelled = 3 hr + 30 minutes jerry distance = 30 * ( 3 1 / 2 ) = 105 so carla need to travle 105 to meet jerry in 3 hrs speed of carla = 105 / 3 = 35 miles per hour answer is a" + }, + { + "Answer": 3, + "Options": "a ) 5 hours , b ) 1 hours , c ) 3 hours , d ) 2 hours , e ) 4 hours", + "Correct": "c", + "Explanation": "speed upstream = 4 / 4 = 1 km / hr speed downstream = 1 / ( 20 / 60 ) = 3 km / hr speed in still water = 1 / 2 ( 3 + 1 ) = 2 km / hr time taken to travel 6 km in still water = 6 / 2 = 3 hours answer : c" + }, + { + "Answer": 9.000000000000002, + "Options": "a ) 5 days , b ) 6 days , c ) 7 days , d ) 9 days , e ) 8 days", + "Correct": "d", + "Explanation": "\"does the job in 40 days = 1 / 40 a & b together completes the job = ? after a leaves , b completes the remaining job in 23 days . i . e b ' s part of job in 23 days = 23 / 40 remaining part 17 / 40 is done by a & b together in x no . of days . i . e ( x / 45 ) + ( x / 40 ) = 17 / 40 = > x = 9 days answer : d\"" + }, + { + "Answer": 2, + "Options": "a ) 1 day , b ) 2 days , c ) 3 days , d ) 4 days , e ) 5 days", + "Correct": "b", + "Explanation": "\"the length of cloth painted by one man in one day = 48 / 4 \u00d7 2 = 6 m no . of days required to paint 36 m cloth by 6 men = 72 / 6 \u00d7 6 = 2 day . b\"" + }, + { + "Answer": 7, + "Options": "a ) 7 kmph , b ) 8 kmph , c ) 9 kmph , d ) 7 kmph , e ) 6 kmph", + "Correct": "a", + "Explanation": "speed in still water = ( 10 + 4 ) 1 / 2 kmph = 7 kmph . answer : a" + }, + { + "Answer": 5.008294988574827, + "Options": "a ) 3 , b ) 5 , c ) 4 , d ) 6 , e ) 7", + "Correct": "b", + "Explanation": "\"t = 64 / 46 * 18 / 5 = 5 sec answer : b\"" + }, + { + "Answer": 4.5, + "Options": "a ) 2.25 . , b ) 3.125 . , c ) 4.5 . , d ) 5.225 . , e ) 6.25 .", + "Correct": "c", + "Explanation": "\"number of hours in 28 days = 28 * 24 number of 30 mins in 28 days = 28 * 24 * 2 number of computers built every 30 mins = 6048 / ( 28 * 24 * 2 ) = 4.5 answer c\"" + }, + { + "Answer": 10, + "Options": "a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", + "Correct": "c", + "Explanation": "the runner runs the first 20 miles at speed v and the second 20 miles at speed v / 2 . the time t 2 to run the second half must be twice the time t 1 to run the first half . t 2 = 2 * t 1 = t 1 + 5 t 1 = 5 and so t 2 = 10 . the answer is c ." + }, + { + "Answer": 300, + "Options": "a ) 1 \u2044 3 , b ) 4 \u2044 3 , c ) 80 , d ) 120 , e ) 300", + "Correct": "e", + "Explanation": "\"1 item takes 2 / 5 min so it takes 120 min to produce x 2 x / 5 = 120 the x = 300 answer : e\"" + }, + { + "Answer": 5.121951219512195, + "Options": "a ) 5.12 , b ) 4.13 , c ) 6.15 , d ) 7.5 , e ) none of these", + "Correct": "a", + "Explanation": "\"due to stoppages , it covers 7 km less . time taken to cover 7 km = ( ( 7 / 82 ) \u00e3 \u2014 60 ) = 5.12 min . option ( a ) is correct\"" + }, + { + "Answer": 52, + "Options": "a ) 76 seconds , b ) 18 seconds , c ) 52 seconds , d ) 19 seconds , e ) 45 seconds", + "Correct": "c", + "Explanation": "\"speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 510 + 140 = 650 meter time = distance / speed = 650 * ( 2 / 25 ) = 52 seconds answer : c\"" + }, + { + "Answer": 20, + "Options": "a ) 15 , b ) 20 , c ) 18 , d ) 25 , e ) 10", + "Correct": "b", + "Explanation": "\"solution ratio of times taken by sakshi and tanya = 125 : 100 = 5 : 4 . suppose tanya taken x days to do the work . 5 : 4 : : 25 : x \u21d2 x = ( 25 x 4 / 5 ) \u21d2 x = 20 days . hence , tanya takes 16 days is complete the work . answer b\"" + }, + { + "Answer": 200, + "Options": "a ) 120 m , b ) 180 m , c ) 240 m , d ) 200 m , e ) 280 m", + "Correct": "d", + "Explanation": "speed = ( 12 / 5 * 60 ) km / hr = ( 144 * 5 / 18 ) m / sec = 40 m / sec . length of the bus = 40 * 5 = 200 m . answer : d" + }, + { + "Answer": 6.000000000000001, + "Options": "a ) 5 , b ) 4 , c ) 6 , d ) 7 , e ) 8", + "Correct": "c", + "Explanation": "\"work done by x in 1 day = 1 / 18 work done by y in 1 day = 1 / 15 work done by y in 10 days = 10 / 15 = 2 / 3 remaining work = 1 \u2013 2 / 3 = 1 / 3 number of days in which x can finish the remaining work = ( 1 / 3 ) / ( 1 / 18 ) = 6 c\"" + }, + { + "Answer": 400, + "Options": "a ) 600 m , b ) 200 m , c ) 300 m , d ) 400 m , e ) 100 m", + "Correct": "d", + "Explanation": "\"d 400 m distance covered by amar = 12 / 4.8 ( 1.6 km ) = 2.5 ( 1600 ) = 400 m answer is d\"" + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "c", + "Explanation": "let the number of bannanas in first day be x for consecutive five days it will be like x , x + 6 , x + 12 , x + 18 , x + 24 the sum of those are 100 , 5 x + 60 = 100 so , x = 8 answer : c" + }, + { + "Answer": 150, + "Options": "a ) 130 minutes , b ) 140 minutes , c ) 150 minutes , d ) 160 minutes , e ) 170 minutes", + "Correct": "c", + "Explanation": "let speed of modem a be k so speed of modem b is 17 / 100 * k time taken by modem a = 25.5 minutes let time taken by modem b = x k * 25.5 = 17 / 100 * k * x 0.17 * x = 25.5 x = 25.5 / 0.17 = 150 minutes answer : c" + }, + { + "Answer": 5, + "Options": "a ) 1 hr , b ) 2 hrs , c ) 3 hrs , d ) 4 hrs , e ) 5 hrs", + "Correct": "e", + "Explanation": "speed downstream = ( 20 + 5 ) km / hr = 25 km / hr . time taken to travel 125 km downstream = 125 / 25 hrs = 5 hrs . answer : e" + }, + { + "Answer": 43, + "Options": "a ) 46 , b ) 47 , c ) 58 , d ) 56 , e ) 43", + "Correct": "e", + "Explanation": "\"cloth bought by john = 9.25 m cost of 9.25 m = $ 397.75 cost per metre = 397.75 \u00f7 9.25 the cost of the cloth per metre = $ 43 answers : e\"" + }, + { + "Answer": 7.447680047665153, + "Options": "a ) 7.18 , b ) 7.12 , c ) 7.3 , d ) 7.45 , e ) 7.51", + "Correct": "d", + "Explanation": "\"t = ( 135 + 165 ) / ( 80 + 65 ) * 18 / 5 t = 7.45 answer : d\"" + }, + { + "Answer": 24, + "Options": "a ) 25 days , b ) 88 days , c ) 21 days , d ) 11 days , e ) 24 days", + "Correct": "e", + "Explanation": "\"wc = 2 : 1 2 x + x = 1 / 8 x = 1 / 24 = > 24 days answer : e\"" + }, + { + "Answer": 16.7986561075114, + "Options": "a ) 16.8 , b ) 17.8 , c ) 15.9 , d ) 13.2 , e ) 12.4", + "Correct": "a", + "Explanation": "\"d = 110 + 170 = 280 m s = 60 * 5 / 18 = 50 / 3 t = 280 * 3 / 50 = 16.8 sec answer a\"" + }, + { + "Answer": 436.3636363636364, + "Options": "a ) 400 , b ) 440 , c ) 550 , d ) 625 , e ) 700", + "Correct": "b", + "Explanation": "let machine a produce a widgets per hour . b produce b widgets per hour and c produce c widgets per hour . 7 a + 11 b = 305 - - - ( 1 ) 8 a + 22 c = 600 - - - ( 2 ) dividing ( 2 ) by 2 4 a + 11 c = 300 . . . . . ( 3 ) adding ( 1 ) ( 3 ) 11 a + 11 b + 11 c = 605 a + b + c = 55 per hour so for eight hrs = 55 * 8 = 440 = answer = b" + }, + { + "Answer": 20, + "Options": "a ) 60 m , b ) 40 m , c ) 20 m , d ) 10 m , e ) 50 m", + "Correct": "c", + "Explanation": "\"solution to reach the winning post a will have to cover a distance of ( 500 - 140 ) m , i . e , 360 m . while a covers 3 m , b covers 4 m . while a covers 360 m , b covers ( 4 / 3 x 360 ) m = 480 m thus , when a reaches the winning post , b covers 480 m and therefore remains 20 m behind . \u2234 a wins by 20 m . answer c\"" + }, + { + "Answer": 6, + "Options": "a ) 10 , b ) 9 , c ) 7 , d ) 6 , e ) 5", + "Correct": "d", + "Explanation": "\"let the leak can empty the full tank in x hours 1 / 2 - 1 / x = 1 / 3 = > 1 / x = 1 / 2 - 1 / 3 = ( 3 - 2 ) / 6 = 1 / 6 = > x = 6 . answer : d\"" + }, + { + "Answer": 6.099999999999999, + "Options": "a ) 7.2 kg . , b ) 10.8 kg . , c ) 12.4 kg . , d ) 6.1 kg , e ) none", + "Correct": "d", + "Explanation": "\"answer \u2235 weight of 12 m long rod = 12.2 kg \u2234 weight of 1 m long rod = 12.2 / 12 kg \u2234 weight of 6 m long rod = 12.2 x 6 / 12 = 6.1 kg option : d\"" + }, + { + "Answer": 5, + "Options": "a ) 5 , b ) 8 , c ) 6 , d ) 4 , e ) none of these", + "Correct": "a", + "Explanation": "work done by \u2018 a \u2019 in 3 days = 1 \u2044 12 \u00d7 3 = 1 \u2044 4 \u2234 remaining work = 1 - 1 \u2044 4 = 3 \u2044 4 work done by a and b together = 12 \u00d7 15 / 27 = 20 / 3 \u2234 remaining work done by a and b together in = 3 \u2044 4 \u00d7 20 \u2044 3 = 5 days answer a" + }, + { + "Answer": 21.818181818181817, + "Options": "a ) 22 , b ) 24 , c ) 26 , d ) 28 , e ) none of them", + "Correct": "a", + "Explanation": "let the speed of the motarboat in still water be x kmph . then , 6 / x + 2 + 6 / x - 2 = 33 / 60 11 x 2 - 240 x - 44 = 0 11 x 2 - 242 x + 2 x - 44 = 0 ( x - 22 ) ( 11 x + 2 ) = 0 x = 22 . answer is a" + }, + { + "Answer": 22, + "Options": "a ) 20 m , b ) 16 m , c ) 11 m , d ) 22 m , e ) 15 m", + "Correct": "d", + "Explanation": "\"explanation : the difference in the timing of a and b is 5 seconds . hence , a beats b by 5 seconds . the distance covered by b in 5 seconds = ( 110 * 5 ) / 25 = 22 m hence , a beats b by 22 m . answer d\"" + }, + { + "Answer": 15.958549222797929, + "Options": "a ) 7 days , b ) 8 days , c ) 9 days , d ) 10 days , e ) 16 days", + "Correct": "e", + "Explanation": "\"( a + b ) ' s 1 day ' s work = 1 / 35 + 1 / 20 = 11 / 140 ( a + c ) ' s 1 day ' s work = 1 / 35 + 1 / 55 = 18 / 385 work done in 2 day ' s = 11 / 140 + 18 / 385 = 48 / 383 48 / 383 th work done in 2 days work done = 383 / 48 * 2 = 16 days ( approx ) answer : e\"" + }, + { + "Answer": 45, + "Options": "a ) 40 , b ) 42 , c ) 45 , d ) 48 , e ) 49", + "Correct": "c", + "Explanation": "\"let the speed of bus be v - 30 , speed of taxi be v the bus travelled a total of 6 hrs and taxi a total of 2 hrs . hence 6 * ( v - 30 ) = 2 v 6 v - 180 = 2 v 4 v = 180 v = 45 mph c\"" + }, + { + "Answer": 16, + "Options": "a ) 15.5 , b ) 16.0 , c ) 16.5 , d ) 17.0 , e ) 17.5", + "Correct": "b", + "Explanation": "time 1 = 100 / 20 = 5 hours time 2 = 300 / 15 = 20 hours total time = 25 hours average speed = 400 / 25 = 16 km / hr the answer is b ." + }, + { + "Answer": 4.628571428571429, + "Options": "a ) 4.1 , b ) 4.5 , c ) 4.6 , d ) 5.4 , e ) 5.5", + "Correct": "c", + "Explanation": "\"speed = 1080 / ( 12 x 60 ) m / sec = 1.3 m / sec . converting m / sec to km / hr = 1.3 x ( 18 / 5 ) km / hr = 4.6 km / hr . answer : c\"" + }, + { + "Answer": 16.5, + "Options": "a ) 16.5 sec , b ) 12 sec , c ) 15 sec , d ) 20 sec , e ) none of these", + "Correct": "a", + "Explanation": "length of train = 12 \u00e3 \u2014 15 = 180 m . then , speed of train = 180 \u00e2 \u0081 \u201e 18 = 10 m / s now , length of train = 11 \u00e3 \u2014 15 = 165 m \u00e2 \u02c6 \u00b4 required time = 165 \u00e2 \u0081 \u201e 10 = 16.5 sec . answer a" + }, + { + "Answer": 1.5, + "Options": "a ) 1.5 , b ) 2.5 , c ) 3.75 , d ) 5 , e ) 7.5", + "Correct": "a", + "Explanation": "\"let the distance to the top be x , so the total distance traveled by natasha is 2 x . the total time is 4 + 2 = 6 hours the average speed = total distance / total time taken = 2 x / 6 = x / 3 the average speed of the complete journey is 2 km / hour x / 3 = 2 x = 6 km the average speed while climbing = distance / time = 6 / 4 = 1.5 km / h the answer is a .\"" + }, + { + "Answer": 240, + "Options": "a ) 76 m , b ) 178 m , c ) 240 m , d ) 187 m , e ) 176 m", + "Correct": "c", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 135 + x ) / 30 = 25 / 2 = > 2 ( 135 + x ) = 750 = > x = 240 m . answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 5 days , b ) 10 days , c ) 14 days , d ) 22 days , e ) 40 days", + "Correct": "e", + "Explanation": "explanation : work done by p in 1 day = 1 / 80 work done by q in 1 day = 1 / 48 work done by p in 16 days = 16 \u00e3 \u2014 ( 1 / 80 ) = 1 / 5 remaining work = 1 \u00e2 \u20ac \u201c 1 / 5 = 4 / 5 work done by p and q in 1 day = 1 / 80 + 1 / 48 = 1 / 30 number of days p and q take to complete the remaining work = ( 4 / 5 ) / ( 1 / 30 ) = 24 total days = 16 + 24 = 40 answer : option e" + }, + { + "Answer": 5, + "Options": "a ) 5 , b ) 7 , c ) 9 , d ) 14 , e ) 24", + "Correct": "a", + "Explanation": "\"a carpenter worked only 1 day on something that takes him 4 more days . means ; carpenter finishes his work in 5 days . let his buddy finish the same task in x days . respective rates per day : 1 / 5 and 1 / x to complete 1 work : first guy worked for 3 days @ rate = 1 / 5 per day . second one worked for 2 days @ rate = 1 / x per day expression : days * rate = work 3 * 1 / 5 + 2 * 1 / x = 1 3 x + 10 = 5 x 2 x = 10 x = 5 days . ans : a\"" + }, + { + "Answer": 10.897435897435898, + "Options": "a ) 10.89 , b ) 14.81 , c ) 14.8 , d ) 14.82 , e ) 14.12", + "Correct": "a", + "Explanation": "\"explanation : since 312 inch = 136 km so 1 inch = 136 / 312 km so 25 inch = ( 136 \u00e3 \u2014 25 ) / 312 = 10.89 km answer : a\"" + }, + { + "Answer": 8, + "Options": "a ) 2 , b ) 8 , c ) 9 , d ) 6 , e ) 5", + "Correct": "b", + "Explanation": "he can pay by all 10 rupee notes = 1 way 3 ten rupee + 1 twenty rupee = 4 ! 3 ! \u00d7 1 ! 4 ! 3 ! \u00d7 1 ! = 4 ways 1 ten rupee + 2 twenty rupee notes = 3 ! 2 ! \u00d7 1 ! 3 ! 2 ! \u00d7 1 ! = 3 ways total ways = 1 + 4 + 3 = 8 answer : b" + }, + { + "Answer": 80.00000000000001, + "Options": "a ) 76 days , b ) 48 days , c ) 80 days , d ) 31 days , e ) 22 days", + "Correct": "c", + "Explanation": "\"b = 1 / 16 \u2013 1 / 20 = 1 / 80 = > 80 days answer : c\"" + }, + { + "Answer": 12, + "Options": "a ) 2 , b ) 8 , c ) 9 , d ) 10 , e ) 12", + "Correct": "e", + "Explanation": "\"54 - - - 3 ds = 18 ? - - - - 1 18 - - - - 3 us = 6 ? - - - - 1 m = ? m = ( 18 + 6 ) / 2 = 12 answer : e\"" + }, + { + "Answer": 43.199999999999996, + "Options": "a ) 88 kmph , b ) 43 kmph , c ) 72 kmph , d ) 16 kmph , e ) 18 kmph", + "Correct": "b", + "Explanation": "\"length = speed * time speed = l / t s = 360 / 30 s = 12 m / sec speed = 12 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 43 kmph answer : b\"" + }, + { + "Answer": 4, + "Options": "a ) 2 hours , b ) 3 hours , c ) 4 hours , d ) 5 hours , e ) 6 hours", + "Correct": "c", + "Explanation": "\"a ' s 1 hour work = 1 / 4 ; ( b + c ) ' s 1 hour work = 1 / 2 ; ( a + c ) ' s 1 hour work = 1 / 2 ( a + b + c ) ' s 1 hour work = ( 1 / 4 + 1 / 2 ) = 3 / 4 b ' s 1 hour work = ( 3 / 4 - 1 / 2 ) = 1 / 4 b alone will take 4 hours to do the work . answer : c\"" + }, + { + "Answer": 45, + "Options": "a ) 33 , b ) 27 , c ) 25 , d ) 22 , e ) 45", + "Correct": "e", + "Explanation": "\"sol : ( length of train + length of bridge ) = speed of train x time ( 250 + 150 ) = 32 x speed speed = 400 / 32 = 12.5 m / s = 45 km / h answer = e\"" + }, + { + "Answer": 135, + "Options": "a ) 288 , b ) 279 , c ) 135 , d ) 272 , e ) 150", + "Correct": "c", + "Explanation": "\"speed = 54 * 5 / 18 = 15 m / sec length of the train = speed * time = 15 * 9 = 135 m answer : c\"" + }, + { + "Answer": 600, + "Options": "a ) 700 , b ) 666 , c ) 600 , d ) 400 , e ) 800", + "Correct": "c", + "Explanation": "number of men needed to finish the required work ( variation , proportion method ) = 3 * 16 * 250 / 20 = 600 answer : c" + }, + { + "Answer": 59.99999999999999, + "Options": "a ) 56 , b ) 58 , c ) 60 , d ) 62 , e ) 64", + "Correct": "c", + "Explanation": "if the two trains cover a total distance d , then train x travels ( 3 / 8 ) * d while train y travels ( 5 / 8 ) * d . if the trains travel 160 km to the meeting point , then train x travels ( 3 / 8 ) * 160 = 60 km . the answer is c ." + }, + { + "Answer": 18, + "Options": "a ) 23 , b ) 38 , c ) 18 , d ) 30 , e ) 28", + "Correct": "c", + "Explanation": "\"speed = distance / time = 200 / 40 = 5 m / s = 5 * 18 / 5 = 3618 km / hr answer : c\"" + }, + { + "Answer": 0.2857142857142857, + "Options": "a ) 3 / 7 , b ) 2 / 7 , c ) 12 / 13 , d ) 5 / 11 , e ) 4 / 7", + "Correct": "b", + "Explanation": "combination probability formula : ncr = n ! / [ r ! ( n - r ) ! ] total possible , select 4 animals from 7 animals = 7 c 4 = 7 ! / [ 4 ! ( 7 - 4 ) ! ] = 35 . to finish all 2 cats there must be 2 dogs , select 2 dogs from 5 = 5 c 2 = 10 . and , select 2 cats from 2 = 2 c 2 = 1 . 2 cats and 2 dogs = ( 1 ) ( 10 ) = 10 probability = ( number outcomes favorable ) / ( total number outcomes ) = 10 / 735 = 2 / 7 answer : b" + }, + { + "Answer": 2, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "b", + "Explanation": "alice can bake 60 / 5 = 12 pies in 60 minutes . bob can bake 60 / 6 = 10 pies in 60 minutes . alice can therefore bake 12 - 10 = 2 more pies than bob . correct answer b" + }, + { + "Answer": 26, + "Options": "a ) 22 , b ) 23 , c ) 28 , d ) 29 , e ) 26", + "Correct": "e", + "Explanation": "\"20 15 5 35 20 8 500 + 300 + 40 = 1040 / 40 = 26 answer : e\"" + }, + { + "Answer": 16.5986721062315, + "Options": "a ) 82.1 sec , b ) 12.1 sec , c ) 16.1 sec , d ) 13.1 sec , e ) 16.6 sec", + "Correct": "e", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec total distance covered = 200 + 132 = 332 m . required time = 332 / 20 = 16.6 sec . answer : e\"" + }, + { + "Answer": 49.99999999999997, + "Options": "a ) 50 days , b ) 100 days , c ) 120 days , d ) 110 days , e ) 90 days", + "Correct": "a", + "Explanation": "\"rate of both = 1 / 20 together they do = 1 / 20 * 14 = 7 / 10 left work = 1 - 7 / 10 = 3 / 10 adam completes 3 / 10 work in 10 day so he took 10 * 10 / 3 = 100 / 3 days to complete the left work alone . thus the rate of adam is 3 / 100 rate of micheal = 1 / 20 - 3 / 100 = 1 / 50 thus micheal takes 50 days to complete the whole work . ans . a\"" + }, + { + "Answer": 4.99960003199744, + "Options": "a ) 2.5 , b ) 5 , c ) 2.4 , d ) 2.8 , e ) 2.1", + "Correct": "b", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec time taken = 100 / 20 = 5 sec . answer : b\"" + }, + { + "Answer": 2909.090909090909, + "Options": "a ) 5600 , b ) 6000 , c ) 2909 , d ) 7200 , e ) 8600", + "Correct": "c", + "Explanation": "\"number of bricks = volume of the wall / volume of 1 brick = ( 800 x 600 x 2 ) / ( 5 x 11 x 6 ) = 2909 . answer : option c\"" + }, + { + "Answer": 40, + "Options": "a ) 50 mph , b ) 45 mph , c ) 48 mph , d ) 52 mph , e ) 40 mph", + "Correct": "e", + "Explanation": "\"let t be the number of hours he would need to reach office on time . when he is driving with over speed , he reached office 4 min earlier ! so the equation for this is s ( t - 4 / 60 ) = 20 where s is the speed and 20 is the distance . if he decreases his speed by 5 mph then he would have reached his office on time : ( s - 5 ) t = 20 if you solve above equations , you will arrive at t = 2 / 3 hr and s = 40 mph therefore answer is e\"" + }, + { + "Answer": 500, + "Options": "a ) 300 , b ) 400 , c ) 500 , d ) 600 , e ) 700", + "Correct": "c", + "Explanation": "speed = ( 100 * 5 / 18 ) m / sec = ( 250 / 9 ) m / sec length of the train = ( speed x time ) = ( 250 / 9 * 18 ) m = 500 m . answer : c" + }, + { + "Answer": 20, + "Options": "a ) 16 , b ) 20 , c ) 24 , d ) 25 , e ) 28", + "Correct": "b", + "Explanation": "\"when the woman passes the man , they are aligned ( m and w ) . they are moving in the same direction . after 5 minutes , the woman ( w ) will be ahead the man ( m ) : m - - - - - - m - - - - - - - - - - - - - - - w w in the 5 minutes , after passing the man , the woman walks the distance mw = ww , which is 5 * 25 / 60 = 25 / 12 miles and the man walks the distance mm , which is 5 * 5 / 60 = 5 / 12 mile . the difference of 25 / 12 - 5 / 12 = 1 / 3 miles ( mw ) will be covered by the man in ( 4 / 3 ) / 4 = 1 / 3 of an hour , which is 20 minutes . answer b .\"" + }, + { + "Answer": 12.857142857142856, + "Options": "a ) 11 , b ) 9 , c ) 13 , d ) 14 , e ) 12.8", + "Correct": "e", + "Explanation": "\"speed of the first train = 120 / 10 = 12 m / sec . speed of the second train = 120 / 18 = 6.7 m / sec . relative speed = 12 + 6.7 = 18.7 m / sec . required time = ( 120 + 120 ) / 18.7 = 12.8 sec . answer : option e\"" + }, + { + "Answer": 4320, + "Options": "a ) 2110 , b ) 3210 , c ) 4320 , d ) 5430 , e ) 6540", + "Correct": "c", + "Explanation": "\"the tank is emptied at this rate : 9 + 6 - 3 = 12 cubic inches / min the tank has a volume of 30 * 12 * 12 * 12 = 51840 cubic inches . the time it takes to empty the tank is 51840 / 12 = 4320 minutes . the answer is c .\"" + }, + { + "Answer": 84, + "Options": "a ) 33 , b ) 84 , c ) 40 , d ) 99 , e ) 11", + "Correct": "b", + "Explanation": "\"1 / 12 - 1 / x = 1 / 14 x = 84 answer : b\"" + }, + { + "Answer": 90, + "Options": "a ) 80 litres , b ) 90 litres , c ) 120 litres , d ) 170 litres , e ) none of these", + "Correct": "b", + "Explanation": "\"explanatory answer to cover a distance of 800 kms using a 800 cc engine , the amount of diesel required = 800 / 600 * 45 = 60 litres . however , the vehicle uses a 1200 cc engine and the question states that the amount of diesel required varies directly as the engine capacity . i . e . , for instance , if the capacity of engine doubles , the diesel requirement will double too . therefore , with a 1200 cc engine , quantity of diesel required = 1200 / 800 * 60 = 90 litres . answer b\"" + }, + { + "Answer": 30000, + "Options": "a ) 800 m , b ) 12000 m , c ) 36000 m , d ) 80000 m , e ) 30000 m", + "Correct": "e", + "Explanation": "\"perimeter = distance covered in 4 min . = ( 12000 x 4 ) / 60 m = 800 m . let length = 1 x metres and breadth = 3 x metres . then , 2 ( 1 x + 3 x ) = 800 or x = 100 . length = 100 m and breadth = 300 m . area = ( 100 x 300 ) m 2 = 30000 m e\"" + }, + { + "Answer": 255.02999999999997, + "Options": "a ) 270 m , b ) 255 m , c ) 235 m , d ) 220 m , e ) 240 m", + "Correct": "b", + "Explanation": "\"explanation : assume the length of the bridge = x meter total distance covered = 120 + x meter total time taken = 30 s speed = total distance covered / total time taken = ( 120 + x ) / 30 m / s = > 45 \u00e3 \u2014 ( 10 / 36 ) = ( 120 + x ) / 30 = > 45 \u00e3 \u2014 10 \u00e3 \u2014 30 / 36 = 120 + x = > 45 \u00e3 \u2014 10 \u00e3 \u2014 10 / 12 = 120 + x = > 15 \u00e3 \u2014 10 \u00e3 \u2014 10 / 4 = 120 + x = > 15 \u00e3 \u2014 25 = 120 + x = 375 = > x = 375 - 120 = 255 answer : option b\"" + }, + { + "Answer": 3576, + "Options": "a ) 3576 s , b ) 3589 s , c ) 3596 s , d ) 3598 s , e ) 3576 s", + "Correct": "e", + "Explanation": "\"let the length of the train be l metres and speeds of the train arun and sriram be r , a and s respectively , then - - - - - - - - - - ( i ) and - - - - - - - - - ( ii ) from eq . ( i ) and ( ii ) 3 ( r - a ) = 2 ( r + k ) r = 3 a + 2 k in 30 minutes ( i . e 1800 seconds ) , the train covers 1800 r ( distance ) but the arun also covers 1800 a ( distance ) in the same time . therefore distance between arun and sriram , when the train has just crossed sriram = 1800 ( r - a ) - 24 ( a + k ) time required = = ( 3600 - 24 ) = 3576 s e\"" + }, + { + "Answer": 5.759539236861052, + "Options": "a ) 10.9 sec , b ) 5.76 sec , c ) 10.6 sec , d ) 10.8 sec , e ) 20.8 sec", + "Correct": "b", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 100 + 60 = 160 m . required time = 160 * 9 / 250 = 5.76 = 5.76 sec . answer : b\"" + }, + { + "Answer": 255, + "Options": "a ) 239 , b ) 277 , c ) 255 , d ) 88 , e ) 232", + "Correct": "c", + "Explanation": "\"speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 120 + x ) / 30 = 25 / 2 = = > 2 ( 120 + x ) = 750 = = > x = 255 m . answer : c\"" + }, + { + "Answer": 21, + "Options": "a ) 25 days , b ) 88 days , c ) 21 days , d ) 11 days , e ) 13 days", + "Correct": "c", + "Explanation": "\"wc = 2 : 1 2 x + x = 1 / 7 x = 1 / 21 = > 21 days answer : c\"" + }, + { + "Answer": 24, + "Options": "a ) 18 , b ) 20 , c ) 17 , d ) 24 , e ) 21", + "Correct": "d", + "Explanation": "\"let the required number of days be x less men , more days ( indirect proportion ) 27 : 36 : : 18 : x 27 x = 36 * 18 x = ( 36 * 18 ) / 27 x = 24 days option is d\"" + }, + { + "Answer": 4.800000000000001, + "Options": "a ) 4.8 , b ) 1.2 , c ) 4.4 , d ) 4.6 , e ) 4.7", + "Correct": "a", + "Explanation": "\"renu \u00e2 \u20ac \u2122 s one day \u00e2 \u20ac \u2122 s work = 1 / 8 suma \u00e2 \u20ac \u2122 s one day \u00e2 \u20ac \u2122 s work = 1 / 3 - 1 / 8 = 5 / 24 suma can do it alone in 4.8 days . answer : a\"" + }, + { + "Answer": 20, + "Options": "a ) 20 min , b ) 8 min , c ) 9 min , d ) 10 min , e ) 11 min", + "Correct": "a", + "Explanation": "\"due to stoppages , it covers 18 km less . time taken to cover 18 km = ( 18 / 54 ) x 60 = 20 min answer : a\"" + }, + { + "Answer": 2.727272727272727, + "Options": "a ) 2.7 , b ) 2.9 , c ) 3.1 , d ) 3.3 , e ) 3.5", + "Correct": "a", + "Explanation": "\"the workers fill the truck at a rate of 1 / 6 + 1 / 5 = 11 / 30 of the truck per hour . then the time to fill one truck is 30 / 11 which is about 2.7 hours . the answer is a .\"" + }, + { + "Answer": 51, + "Options": "a ) 50 kmph , b ) 51 kmph , c ) 41 kmph , d ) 61 kmph , e ) 21 kmph", + "Correct": "b", + "Explanation": "\"102 * 30 / 60 = 51 kmph answer : b\"" + }, + { + "Answer": 5, + "Options": "a ) 10 , b ) 6 , c ) 4 , d ) 7 , e ) 5", + "Correct": "e", + "Explanation": "\"required number of machines = 20 * 10 / 40 = 5 answer is e\"" + }, + { + "Answer": 0.4, + "Options": "a ) 1 / 2 , b ) 2 / 5 , c ) 3 / 4 , d ) 1 / 4 , e ) 1 / 5", + "Correct": "b", + "Explanation": "in first 2 hrs roy will finish 2 / 5 = 2 / 5 of work and jane will finish 2 / 4 work so total 2 / 5 + 1 / 2 = 9 / 10 work is finished and 1 - 9 / 10 = 1 / 10 work remaining . now jane will take ( 1 / 10 ) * 4 = 2 / 5 hrs to finish it . so answer is b ." + }, + { + "Answer": 3.75, + "Options": "a ) 3.75 hours , b ) 5.45 hours , c ) 7.10 hours , d ) 4.75 hours , e ) 3.33 hours", + "Correct": "a", + "Explanation": "a 3.75 hours while you can solve it as you like , a simple mathematical equation can be used to find out . let m be the amount of petrol initially . let n be the time for which they drove . according to the question , the amount of petrol used by first car in n hours = mn / 4 the amount of petrol used by second car in n hours = mn / 5 hence , the amount of petrol left in the first car = ( m - mn / 4 ) the amount of petrol left in the second car = ( m - mn / 5 ) as per the details given in the question , we can form the below equation : m - mn / 5 = 4 ( m - mn / 4 ) n = 15 / 4 or 3.75 hours . hence , both the drivers have driven the car for 3.75 hours at that particular time ." + }, + { + "Answer": 132, + "Options": "a ) 80 , b ) 190 , c ) 132 , d ) 170 , e ) 60", + "Correct": "c", + "Explanation": "\"c 132 sum = ( n x n ) + n hence , 11 x 11 = 121 + 11 = 132\"" + }, + { + "Answer": 160, + "Options": "a ) 140 , b ) 150 , c ) 155 , d ) 160 , e ) 175", + "Correct": "d", + "Explanation": "when soaring , the rocket travels a total distance of 1800 m ( 150 m / s for 12 s ) while plummeting the rockets travel distance of 600 m in 3 s the total distance traveled is 2400 m ( 1800 + 600 ) the time taken to travel this distance is 15 s ( 12 + 3 ) average speed = 2400 / 15 = 160 ans : ( option d )" + }, + { + "Answer": 5, + "Options": "a ) 2 . , b ) 4 . , c ) x = 5 . , d ) x = 6 . , e ) 8 .", + "Correct": "c", + "Explanation": "\"c . 5 hrs if there were 10 beavers it qould have taken double x = 6 hrs . . so closest to that option is 5 .\"" + }, + { + "Answer": 0.5606060606060606, + "Options": "a ) 37 / 66 , b ) 8 / 41 , c ) 9 / 348 , d ) 1 / 8 , e ) 41 / 91", + "Correct": "a", + "Explanation": "\"- - - - - - - - - ui - - - - - - - - - - - - - - - - nui - - - - - - - total pt - - - - ( 12.5 / 100 ) * 104 = 13 - - - - - - - - - - - - - 54 npt - - - 104 - 13 - - - - - - - - - - - - - - x - - - - - - - - 276 total - - 104 - - - - - - - - - - - - - - - - - - - - - - - - - - - - 330 we have to find not part time and not uninsured . in other words not part time and insured = x / 330 = ( 276 - 104 + 13 ) / 330 = 37 / 66 answer is a .\"" + }, + { + "Answer": 59.999999999999964, + "Options": "a ) 50 hrs , b ) 60 hrs , c ) 70 hrs , d ) 80 hrs , e ) 90 hrs", + "Correct": "b", + "Explanation": "\"time taken to full the cistern = ( 1 / 10 - 1 / 12 ) hrs = 1 / 60 = 60 hrs answer : b\"" + }, + { + "Answer": 208, + "Options": "a ) 104 , b ) 277 , c ) 298 , d ) 269 , e ) 208", + "Correct": "e", + "Explanation": "624 / 3 = 208 kmph answer : e" + }, + { + "Answer": 20, + "Options": "a ) 20 days . , b ) 15 days . , c ) 22 days . , d ) 30 days . , e ) 18 days .", + "Correct": "a", + "Explanation": "\"one day work = 1 / 10 one man \u2019 s one day work = 1 / ( 10 * 50 ) now : no . of workers = 25 one day work = 25 * 1 / ( 10 * 50 ) the total no . of days required to complete the work = ( 50 * 10 ) / 25 = 20 answer : a\"" + }, + { + "Answer": 23, + "Options": "a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 26", + "Correct": "d", + "Explanation": "23 option d" + }, + { + "Answer": 100, + "Options": "a ) 70 , b ) 80 , c ) 90 , d ) 100 , e ) 110", + "Correct": "d", + "Explanation": "\"the relative speed = 46 - 36 = 10 km / hr = 10 * 5 / 18 = 25 / 9 m / s in 72 seconds , the relative difference in distance traveled is 72 * 25 / 9 = 200 meters this distance is twice the length of each train . the length of each train is 200 / 2 = 100 meters the answer is d .\"" + }, + { + "Answer": 32, + "Options": "a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36", + "Correct": "d", + "Explanation": "\"let t = usual time = distance / usual speed t + 8 = distance / ( 4 * usual speed / 5 ) = ( 5 * distance ) / ( 4 * usual speed ) = 5 t / 4 t = 32 the answer is d .\"" + }, + { + "Answer": 2.533333333333333, + "Options": "a ) 8 / 3 , b ) 3 / 8 , c ) 38 / 15 , d ) 5 / 8 , e ) 5 / 3", + "Correct": "c", + "Explanation": "\"distance traveled by eddy = 570 km time taken by eddy = 3 hours average speed of eddy = 570 / 3 = 190 km / hour distance traveled by freddy = 300 km time taken by freddy = 4 hours average speed of freddy = 300 / 4 = 75 km / hour ratio of average speed of eddy to freddy = 190 / 75 = 38 / 15 answer c\"" + }, + { + "Answer": 21.598272138228943, + "Options": "a ) 21.6 sec , b ) 8.9 sec , c ) 10.8 sec , d ) 12.6 sec , e ) 15 sec", + "Correct": "a", + "Explanation": "\"relative speed = 60 + 30 = 90 kmph * 5 / 18 = 25 m / s distance covered in crossing each other = 180 + 360 = 540 m required time = 540 * 1 / 25 = 21.6 sec answer is a\"" + }, + { + "Answer": 72, + "Options": "a ) 24 , b ) 77 , c ) 88 , d ) 72 , e ) 21", + "Correct": "d", + "Explanation": "\"explanation : less men , means more days { indirect proportion } let the number of days be x then , 9 : 36 : : 18 : x x = 72 answer : d ) 72 days\"" + }, + { + "Answer": 87.99999999999999, + "Options": "a ) 80 m 2 , b ) 84 m 2 , c ) 88 m 2 , d ) 86 m 2 , e ) none of these", + "Correct": "c", + "Explanation": "\"required area covered in 5 revolutions = 5 \u00e3 \u2014 2 \u00ef \u20ac rh = 5 \u00e3 \u2014 2 \u00e3 \u2014 22 \u00e2 \u0081 \u201e 7 \u00e3 \u2014 0.7 \u00e3 \u2014 4 = 88 m 2 answer c\"" + }, + { + "Answer": 8, + "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", + "Correct": "d", + "Explanation": "\"the distance between the nest and the ditch is 400 meters . 15 times mean = a crow leaves its nest , and flies back ( going and coming back ) i . e . 2 times we get total 30 rounds . so the distance is 30 * 400 = 12000 . d = st 12000 / 1.5 = t , i think we can take 12000 meters as 12 km , then only we get t = 8 . ( 1000 meters = 1 km ) d )\"" + }, + { + "Answer": 70.2, + "Options": "a ) 33 , b ) 27 , c ) 25 , d ) 70.2 , e ) 72", + "Correct": "d", + "Explanation": "\"sol : ( length of train + length of bridge ) = speed of train x time ( 240 + 150 ) = 20 x speed speed = 390 / 20 = 19.5 m / s = 70.2 km / h answer = d\"" + }, + { + "Answer": 4, + "Options": "a ) 1.5 , b ) 2.0 , c ) 2.5 , d ) 3.0 , e ) 4.0", + "Correct": "e", + "Explanation": "\"relative speed of car a is 58 - 50 = 8 miles per hour , to catch up 24 miles and drive 8 miles ahead so to drive 32 miles it ' ll need 32 / 8 = 4 hours . answer : e .\"" + }, + { + "Answer": 70, + "Options": "a ) 10 , b ) 30 , c ) 40 , d ) 50 , e ) 70", + "Correct": "e", + "Explanation": "they would meet in 120 / 70 = 12 / 7 hours 1 hour earlier 5 / 7 hours distance between trains = total distance - ( distance covered by train a + distance covered by train b ) = 120 - ( 5 / 7 ( 40 + 30 ) ) [ distance of a = 5 / 7 * 40 ; like wise distance by b ] = 70 km answer : e" + }, + { + "Answer": 30, + "Options": "a ) 1 , b ) 3.5 , c ) 30 , d ) 49 , e ) 30", + "Correct": "c", + "Explanation": "\"explanation : let the required number days be x . less honey bees , more days ( indirect proportion ) less honey , less days ( direct proportion ) honey bees 1 : 30 : : 30 : x honey 30 : 1 = > 1 x 30 x x = 30 x 1 x 30 = > x = 30 . answer : c\"" + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 14 , c ) 15 , d ) 13 , e ) 11", + "Correct": "a", + "Explanation": "consider max starts from point a and brad starts from point b and move towards each other . assume they shall meet at point o after time ' t ' . the question asks us to find oa . from the question stem we can make out : - distance oa = 50 km - distance ob = > 3 xt = 36 - 6 xt ( i . e distance = speed x time ) = > 9 t = 36 hence t = 4 oa = 3 x 4 = 12 km answer : a" + }, + { + "Answer": 5.7272727272727275, + "Options": "a ) 6.5 mile , b ) 5.7 mile , c ) 7.0 mile , d ) 8.0 mile , e ) 12 mile", + "Correct": "b", + "Explanation": "\"ss - stacy ' s speed = 6 m / hr sh - heather ' s speed = 5 m / hr in 24 minutes stacy will cover = ( 24 / 60 ) * 6 = 2.4 miles now since both are walking in opposite directions , add their speeds - 6 + 5 = 11 m / hr and distance to cover is 15 - 2.4 = 12.6 time taken = distance / speed = 12.6 / 11 = 1.145 hrs heather will cover = 5 * 1.145 = 5.72 miles . answer b\"" + }, + { + "Answer": 210, + "Options": "a ) 287 cm 2 , b ) 785 cm 2 , c ) 285 cm 2 , d ) 785 cm 2 , e ) 210 cm 2", + "Correct": "e", + "Explanation": "\"explanation : area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 10 + 18 ) * ( 15 ) = 210 cm 2 answer : option e\"" + }, + { + "Answer": 22, + "Options": "a ) 22 , b ) 66 , c ) 88 , d ) 100 , e ) 281", + "Correct": "a", + "Explanation": "\"( 18 * 8 ) / 30 = ( x * 6 ) / 50 = > x = 40 40 \u2013 18 = 22 answer : a\"" + }, + { + "Answer": 400, + "Options": "a ) 200 m , b ) 600 m , c ) 400 m , d ) 800 m , e ) 900 m", + "Correct": "c", + "Explanation": "1 / 2 * d ( 15 + 5 ) = 400 d = 400 answer : c" + }, + { + "Answer": 75, + "Options": "a ) 80 , b ) 70 , c ) 75 , d ) 16 , e ) 14", + "Correct": "c", + "Explanation": "\"8 x = 120 = > x = 15 therefore the secretary who worked the longest spent 15 x 5 = 75 hours on the project option ( c )\"" + }, + { + "Answer": 7, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", + "Correct": "d", + "Explanation": "a ' s rate is 1 / 56 and b ' s rate is 1 / 8 . the combined rate is 1 / 56 + 1 / 8 = 1 / 7 the pipes will fill the tank in 7 minutes . the answer is d ." + }, + { + "Answer": 30, + "Options": "a ) 25 , b ) 30 , c ) 35 , d ) 30 , e ) none of these", + "Correct": "d", + "Explanation": "20 men complete 0.4 work in 25 days . applying the work rule , m 1 \u00d7 d 1 \u00d7 w 2 = m 2 \u00d7 d 2 \u00d7 w 1 we have , 20 \u00d7 25 \u00d7 0.6 = m 2 \u00d7 25 \u00d7 0.4 or m 2 = 20 \u00d7 25 \u00d7 0.6 / 25 \u00d7 0.4 = 30 men answerd" + }, + { + "Answer": 11, + "Options": "a ) 12 kmph , b ) 13 kmph , c ) 14 kmph , d ) 15 kmph , e ) 11 kmph", + "Correct": "e", + "Explanation": "\"speed in still water = ( 15 + 7 ) 1 / 2 kmph = 11 kmph . answer : e\"" + }, + { + "Answer": 43, + "Options": "a ) 43 kms , b ) 45 kms , c ) 50 kms , d ) 30 kms , e ) 40 kms", + "Correct": "a", + "Explanation": "\"total eastward distance = 21 kmph * 1 hr = 21 km total westward distance = 22 kmph * 1 hr = 22 km total distn betn them = 21 + 22 = 43 km ans 43 km answer : a\"" + }, + { + "Answer": 17.998560115190788, + "Options": "a ) 18 , b ) 10.9 , c ) 10.4 , d ) 10.8 , e ) 10.1", + "Correct": "a", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 200 + 300 = 500 m . required time = 500 * 9 / 250 = 18 secs answer : a\"" + }, + { + "Answer": 30, + "Options": "a ) 87 , b ) 18 , c ) 17 , d ) 16 , e ) 30", + "Correct": "e", + "Explanation": "\"binders books days 25 1400 21 x 1600 20 x / 25 = ( 1600 / 1400 ) * ( 21 / 20 ) = > x = 30 answer : e\"" + }, + { + "Answer": 45, + "Options": "a ) 45 , b ) 30 , c ) 24 , d ) 40 , e ) none of these", + "Correct": "a", + "Explanation": "llet a and b take 3 x and 2 x days to complete the work 1 / 3 x + 1 / 2 x = 1 / 18 \u21d2 x = 15 so a will take 45 days . answer : a" + }, + { + "Answer": 72, + "Options": "a ) 72 seconds , b ) 27 seconds , c ) 40 seconds , d ) 128 seconds , e ) 18 seconds", + "Correct": "a", + "Explanation": "\"speed = 60 km / hr = 60 * ( 5 / 18 ) m / sec = 150 / 9 m / sec total distance = 400 + 800 = 1200 meter time = distance / speed = 1200 * ( 9 / 150 ) = 72 seconds answer : a\"" + }, + { + "Answer": 15, + "Options": "a ) 22 , b ) 15 , c ) 77 , d ) 28 , e ) 91", + "Correct": "b", + "Explanation": "answer : b ) 15 minutes" + }, + { + "Answer": 72.5, + "Options": "a ) 72.5 kmph , b ) 75 kmph , c ) 87 kmph , d ) 56 kmph , e ) 86 kmph", + "Correct": "a", + "Explanation": "\"s = ( 90 + 55 ) / 2 = 72.5 kmph answer : a\"" + }, + { + "Answer": 105, + "Options": "a ) 105 , b ) 30 , c ) 35 , d ) 20 , e ) none of these", + "Correct": "a", + "Explanation": "\"70 men complete 0.4 work in 25 days . applying the work rule , m 1 \u00d7 d 1 \u00d7 w 2 = m 2 \u00d7 d 2 \u00d7 w 1 we have , 70 \u00d7 25 \u00d7 0.6 = m 2 \u00d7 25 \u00d7 0.4 or m 2 = 70 \u00d7 25 \u00d7 0.6 / 25 \u00d7 0.4 = 105 men answera\"" + }, + { + "Answer": 17.5, + "Options": "a ) 4.5 , b ) 7.5 , c ) 9.5 , d ) 17.5 , e ) 24.5", + "Correct": "d", + "Explanation": "a carpenter worked only 1 day on something that takes him 6 more days . means ; carpenter finishes his work in 7 days . let his buddy finish the same task in x days . respective rates per day : 1 / 7 and 1 / x to complete 1 work : first guy worked for 5 days @ rate = 1 / 7 per day . second one worked for 5 days @ rate = 1 / x per day expression : days * rate = work 5 * 1 / 7 + 5 * 1 / x = 1 5 x + 35 = 7 x 2 x = 35 x = 17.5 days . ans : d" + }, + { + "Answer": 21, + "Options": "a ) 23 days , b ) 25 days , c ) 21 days , d ) 26 days , e ) 29 days", + "Correct": "c", + "Explanation": "\"c 21 days wc = 2 : 1 2 x + x = 1 / 7 x = 1 / 21 = > 21 days\"" + }, + { + "Answer": 220.02999999999997, + "Options": "a ) 270 m , b ) 245 m , c ) 235 m , d ) 220 m , e ) 240 m", + "Correct": "d", + "Explanation": "\"explanation : assume the length of the bridge = x meter total distance covered = 155 + x meter total time taken = 30 s speed = total distance covered / total time taken = ( 155 + x ) / 30 m / s = > 45 \u00e3 \u2014 ( 10 / 36 ) = ( 155 + x ) / 30 = > 45 \u00e3 \u2014 10 \u00e3 \u2014 30 / 36 = 155 + x = > 45 \u00e3 \u2014 10 \u00e3 \u2014 10 / 12 = 155 + x = > 15 \u00e3 \u2014 10 \u00e3 \u2014 10 / 4 = 155 + x = > 15 \u00e3 \u2014 25 = 155 + x = 375 = > x = 375 - 155 = 220 answer : option d\"" + }, + { + "Answer": 24750, + "Options": "a ) rs . 15000 , b ) rs . 15550 , c ) rs . 24750 , d ) rs . 16500 , e ) none of these", + "Correct": "c", + "Explanation": "\"solution area of the floor = ( 5.5 \u00d7 3.75 ) m 2 = 20.625 m 2 \u2234 cost of paving = rs . ( 1200 \u00d7 20.625 ) = 24750 . answer c\"" + }, + { + "Answer": 30, + "Options": "a ) 30 , b ) 20 , c ) 19 , d ) 29 , e ) 39", + "Correct": "a", + "Explanation": "let 1 man does 1 unit / hr of work 15 m in 21 days of 8 hrs will do ( 15 * 21 * 8 ) units 3 w = 2 m 1 w = ( 2 / 3 ) units / hr 21 w with 6 hrs a day will take ( 15 * 21 * 8 ) / ( 21 * 6 * ( 2 / 3 ) ) days = > 30 days answer : a" + }, + { + "Answer": 60, + "Options": "a ) 40 , b ) 60 , c ) 45 , d ) 39 , e ) none", + "Correct": "b", + "Explanation": "\"no . of toys = 120 / 2 = 60 answer : b\"" + }, + { + "Answer": 20, + "Options": "a ) 10 men , b ) 30 men , c ) 40 men , d ) 20 men , e ) none of these", + "Correct": "d", + "Explanation": "\"let x be the number of men originally thus , 10 x = ( 10 + 10 ) ( x - 10 ) 10 x = 20 ( x - 10 ) x = 2 ( x - 10 ) x = 20 answer : d\"" + }, + { + "Answer": 20625, + "Options": "a ) rs . 15,000 , b ) rs . 15,500 , c ) rs . 15,600 , d ) rs . 20,625 , e ) none", + "Correct": "d", + "Explanation": "\"solution area of the floor = ( 5.5 x 3.75 ) m \u00b2 = 20.635 m \u00b2 cost of paying = rs . ( 1000 x 20.625 ) = rs . 20625 . answer d\"" + }, + { + "Answer": 8.639999999999999, + "Options": "a ) 3 sec , b ) 2.6 sec , c ) 3.6 sec , d ) 8.6 sec , e ) 7.6 sec", + "Correct": "d", + "Explanation": "\"explanation : d = 210 m + 210 m = 420 m rs = 90 + 85 = 175 * 5 / 18 = 243 / 5 t = 420 * 5 / 243 = 8.6 sec answer : option d\"" + }, + { + "Answer": 4.444444444444445, + "Options": "a ) 3.75 days , b ) 4.44 days , c ) 5 days , d ) 6.44 days , e ) 7 days", + "Correct": "b", + "Explanation": "\"1 / 8 + 1 / 10 = 9 / 40 40 / 9 = 4.44 days answer : b\"" + }, + { + "Answer": 323, + "Options": "a ) 178 cm 2 , b ) 323 cm 2 , c ) 285 cm 2 , d ) 167 cm 2 , e ) 197 cm 2", + "Correct": "b", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 17 ) = 323 cm 2 answer : b\"" + }, + { + "Answer": 78, + "Options": "a ) 11 , b ) 50 , c ) 78 , d ) 27 , e ) 18", + "Correct": "c", + "Explanation": "\"explanation : we know 60 min = 1 hr total northward laxmi ' s distance = 40 kmph x 1 hr = 40 km total southward prasanna ' s distance = 38 kmph x 1 hr = 38 km total distance between prasanna and laxmi is = 40 + 38 = 78 km . answer : c\"" + }, + { + "Answer": 55.99552035837134, + "Options": "a ) 33 , b ) 56 , c ) 55 , d ) 82 , e ) 62", + "Correct": "b", + "Explanation": "\"explanation : t = ( 660 + 180 ) / 54 * 18 / 5 t = 56 answer : option b\"" + }, + { + "Answer": 15, + "Options": "a ) 10 hrs , b ) 15 hrs , c ) 20 hrs , d ) 25 hrs , e ) 18 hrs", + "Correct": "b", + "Explanation": "\"1 hour he ride 50 km he ride 750 km in = 750 / 50 * 1 = 15 hours answer is b\"" + }, + { + "Answer": 1.4998800095992322, + "Options": "a ) 0.5 , b ) 1.25 , c ) 1.5 , d ) 2.5 , e ) 3.5", + "Correct": "c", + "Explanation": "\"speed = 108 * 5 / 18 = 30 m / sec time taken = 45 / 30 = 1.5 sec . answer : c\"" + }, + { + "Answer": 0.9999200063994881, + "Options": "a ) 1 second , b ) 4.5 seconds , c ) 3 seconds , d ) 2.5 seconds , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : first convert speed into m / sec speed = 360 * ( 5 / 18 ) = 100 m / sec time = distance / speed = 100 / 100 = 1 second answer : a\"" + }, + { + "Answer": 49.999999999999986, + "Options": "a ) 10 , b ) 100 , c ) 50 , d ) 200 , e ) 300", + "Correct": "c", + "Explanation": "2 kmph = ( 2 x 5 / 18 ) m / sec = 5 / 9 m / sec . 4 kmph = ( 4 x 5 / 18 ) m / sec = 10 / 9 m / sec . let the length of the train be x metres and its speed by y m / sec . then , ( x / y - 5 / 9 ) = 9 and ( x / y - 10 / 9 ) = 10 . 9 y - 5 = x and 10 ( 9 y - 10 ) = 9 x = > 9 y - x = 5 and 90 y - 9 x = 100 . on solving , we get : x = 50 . therefore length of the train is 50 m . answer : c" + }, + { + "Answer": 85.71428571428571, + "Options": "a ) 71.5 , b ) 72 , c ) 72.5 , d ) 73 , e ) 85.7", + "Correct": "e", + "Explanation": "\"many approaches are possible , one of them : let the distance be 1 kilometer . time to cover this distance at 90 kilometers per hour is 1 / 90 hours = 3,600 / 90 seconds = 40 seconds ; time to cover this distance at regular speed is 40 + 2 = 42 seconds = 42 / 3,600 hours = 7 / 600 hours ; so , we get that to cover 1 kilometer 1 / ( 7 / 600 ) hours is needed - - > regular speed 85.7 kilometers per hour ( rate is a reciprocal of time or rate = distance / time ) . answer : e .\"" + }, + { + "Answer": 13.700000000000001, + "Options": "a ) 5.2 , b ) 7.4 , c ) 13.7 , d ) 21.2 , e ) 28.7", + "Correct": "c", + "Explanation": "\"v inches necessary to represent a distance of 383.6 miles = 383.6 / 28 = 13.7 answer c\"" + }, + { + "Answer": 6, + "Options": "a ) 5 , b ) 2 , c ) 8 , d ) 4 , e ) 6", + "Correct": "e", + "Explanation": "\"1 . we need to find out the time taken by 24 workers after day 1 . 2 . total no . of wokers * total time taken = time taken by 1 worker 3 . time taken by 1 worker = 36 * 5 = 180 days 4 . but on day 1 thirty - six workers had already worked finishing 1 / 5 of the job . so 24 workers have to finish only 4 / 5 of the job . 5 . total time taken by 24 workers can be got from formula used at ( 2 ) . i . e . , 24 * total time taken = 180 . total time taken by 6 workers to finish the complete job is 180 / 24 = 7.5 days . 6 . time taken by 24 workers to finish 4 / 5 of the job is 4 / 5 * 7.5 = 6 days . the answer is choice e\"" + }, + { + "Answer": 225, + "Options": "a ) 230 , b ) 225 , c ) 245 , d ) 238 , e ) 236", + "Correct": "b", + "Explanation": "\"speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 150 + x ) / 30 = 25 / 2 = = > 2 ( 150 + x ) = 750 = = > x = 225 m . answer : option b\"" + }, + { + "Answer": 7, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 7", + "Correct": "e", + "Explanation": "\"you can either take the amount of work done as the same as karishma has done or take the work done by each in the same time . i will do the latter 1 . work done in 1 hr by a is 2000 envelopes 2 . work done in 1 hr by a and c is 3000 envelopes 3 . so work done in 1 hr by c is 1000 envelopes 4 . work done in 1 hr by b and c is 2400 envelopes 5 . so work done in 1 hr by b is 1400 envelopes 6 . so to process 9800 envelopes b will take 9800 / 1400 hrs = 7 hrs so the answer is choice e\"" + }, + { + "Answer": 34, + "Options": "a ) 24 . , b ) 34 . , c ) 36 . , d ) 42 . , e ) 44 .", + "Correct": "b", + "Explanation": "\"let the time taken be = x one way distance = 51 x total distance traveled = 2 * 51 x = 102 x total time taken = x + 2 x = 3 x average speed = 102 x / 3 x = 34 answer : b\"" + }, + { + "Answer": 4.425875438161669, + "Options": "a ) 2.42 , b ) 6.42 , c ) 5.42 , d ) 4.42 , e ) 3.42", + "Correct": "d", + "Explanation": "\"solution speed = ( 122 x 5 / 18 ) m / sec = 33.88 m / sec time taken = ( 150 / 33.88 ) sec = 4.42 sec . answer d\"" + }, + { + "Answer": 6400, + "Options": "a ) 8600 litres , b ) 200 litres , c ) 12800 litres , d ) 6400 litres , e ) 13200 litres", + "Correct": "d", + "Explanation": "\"let the rate of outlet pipe be x liters / hour ; rate of inlet pipe is 8 litres / min , or 8 * 60 = 480 liters / hour ; net outflow rate when both pipes operate would be x - 480 liters / hour . capacity of the tank = x * 5 hours = ( x - 480 ) * ( 5 + 3 ) hours 5 x = ( x - 480 ) * 8 - - > x = 1280 - - > capacity = 5 x = 6400 liters . answer : d\"" + }, + { + "Answer": 3, + "Options": "a ) 2 hours , b ) 5 hours , c ) 6 hours , d ) 4 hours , e ) 3 hours", + "Correct": "e", + "Explanation": "\"a ' s 1 hour work = 1 / 3 ; ( b + c ) ' s 1 hour work = 1 / 2 ; ( a + b ) ' s 1 hour work = 1 / 2 ( a + b + c ) ' s 1 hour work = ( 1 / 3 + 1 / 2 ) = 5 / 6 c ' s 1 hour work = ( 5 / 6 - 1 / 2 ) = 1 / 3 c alone will take 3 hours to do the work . answer : e\"" + }, + { + "Answer": 25, + "Options": "a ) $ 20 , b ) $ 21 , c ) $ 24 , d ) $ 25 , e ) $ 28", + "Correct": "d", + "Explanation": "\"let x be the daily wage before the increase . 1.4 x = $ 35 x = $ 25 the answer is d .\"" + }, + { + "Answer": 100, + "Options": "a ) 120 , b ) 100 , c ) 140 , d ) 80 , e ) 90", + "Correct": "b", + "Explanation": "tank capacity : 5000 l , 1 st - 200 l / min for 1 min , volume filled : 200 l 2 nd - 100 l / min for 2 min , volume filled : 100 l 3 rd ( water draining ) : 25 l / min * 2 : 50 l total : ( 200 + 100 ) - 50 = 250 l filled for 1 cycle number of 250 in 5000 l tank : 1000 / 250 = 20 time taken to fill : 20 * total time = 20 * 5 = 100 ( option b )" + }, + { + "Answer": 10, + "Options": "a ) 15 days , b ) 10 days , c ) 12 days , d ) 19 days , e ) 13 days", + "Correct": "b", + "Explanation": "b ( x \u00e2 \u20ac \u201c 5 ) / 10 + x / 20 = 1 x = 10 days" + }, + { + "Answer": 6.5, + "Options": "a ) 8.5 gallons , b ) 7.5 gallons , c ) 6.5 gallons , d ) 5.5 gallons , e ) 4.5 gallons", + "Correct": "c", + "Explanation": "\"each 20 kilometers , 1 gallon is needed . we need to know how many 20 kilometers are there in 130 kilometers ? 130 / 20 = 6.5 * 1 gallon = 6.5 gallons correct answer c\"" + }, + { + "Answer": 52.8, + "Options": "a ) 40 m 2 , b ) 44 m 2 , c ) 52.8 m 2 , d ) 36 m 2 , e ) none of these", + "Correct": "c", + "Explanation": "\"required area covered in 5 revolutions = 6 \u00e3 \u2014 2 \u00ef \u20ac rh = 6 \u00e3 \u2014 2 \u00e3 \u2014 22 \u00e2 \u0081 \u201e 7 \u00e3 \u2014 0.7 \u00e3 \u2014 2 = 52.8 m 2 answer c\"" + }, + { + "Answer": 94.24777960769379, + "Options": "a ) 287 , b ) 94.2 , c ) 156 , d ) 158 , e ) 267", + "Correct": "b", + "Explanation": "\"2 * 22 / 7 * 10 = 62.8 62.8 * 1 1 / 2 = rs . 94.2 answer : b\"" + }, + { + "Answer": 200, + "Options": "a ) 100 km , b ) 150 km , c ) 50 km , d ) 120 km , e ) 200 km", + "Correct": "e", + "Explanation": "\"suppose after x km from the start b catches up with a . then , the difference in the time taken by a to cover x km and that taken by b to cover x km is 10 hours . x / 10 - x / 20 = 10 x = 200 km answer is e\"" + }, + { + "Answer": 29.997600191984642, + "Options": "a ) 15 s , b ) 20 s , c ) 25 s , d ) 30 s , e ) 35 s", + "Correct": "d", + "Explanation": "distance = 500 m speed = 63 - 3 km / hr = 60 km / hr = 600 / 36 m / s = 50 / 3 m / s time taken = distance / speed = 500 / ( 50 / 3 ) = 30 s answer is d ." + }, + { + "Answer": 140, + "Options": "a ) 140 m , b ) 786 m , c ) 566 m , d ) 546 m , e ) 445 m", + "Correct": "a", + "Explanation": "\"speed = 56 * 5 / 18 = 140 / 9 m / sec length of the train = speed * time = 140 / 9 * 9 = 140 m answer : a\"" + }, + { + "Answer": 6, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 6 , e ) 13", + "Correct": "d", + "Explanation": "\"one monkey takes 6 min to eat 1 banana , so in 18 mins 1 monkey will eat 3 bananas , so for 18 bananas in 18 min we need 18 / 3 = 6 monkeys answer : d\"" + }, + { + "Answer": 10, + "Options": "a ) 10.6 , b ) 10.2 , c ) 10.8 , d ) 10.4 , e ) 10.0", + "Correct": "e", + "Explanation": "\"speed downstream = ( 20 + 5 ) = 25 kmph time = 24 minutes = 24 / 60 hour = 2 / 5 hour distance travelled = time \u00d7 speed = 2 / 5 \u00d7 25 = 10.0 km answer is e .\"" + }, + { + "Answer": 6333.333333333333, + "Options": "a ) 4500 , b ) 6333 , c ) 6576 , d ) 6345 , e ) 2882", + "Correct": "b", + "Explanation": "\"( 4000 * 5 * 19 ) / 60 = 6333 m 3 answer : b\"" + }, + { + "Answer": 20, + "Options": "a ) 50 , b ) 20 , c ) 30 , d ) 10 , e ) 15", + "Correct": "b", + "Explanation": "\"men required to finish the work in 5 days = 10 * 10 / 5 = 20 answer is b\"" + }, + { + "Answer": 0.375, + "Options": "['a ) 0.550', 'b ) 0.350', 'c ) 0.450', 'd ) 0.700', 'e ) 0.375']", + "Correct": "e", + "Explanation": "we are given that a salt solution contains 15 grams of salt per 1000 cubic centimeters of solution . since we are dealing with a solution , we know that the grams of salt is proportional to the number of cubic centimeters of solution . thus , to determine how many grams of salt would be in the container when we have 25 cubic centimeters of solution , we can set up a proportion . we can say : \u201c 15 grams of salt is to 1000 cubic centimeters of solution as x grams of salt is to 25 cubic centimeters of solution . \u201d let \u2019 s now set up the proportion and solve for x . 15 / 1000 = x / 25 when we cross multiply we obtain : ( 15 ) ( 25 ) = 1000 x 375 = 1000 x 0.375 = x there are 0.375 grams of salt in the solution in the container . the answer is e ." + }, + { + "Answer": 5, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", + "Correct": "b", + "Explanation": "exp : ( 2 m + 4 b ) \u2019 s one day \u2019 s work = 1 / 4 ( 5 m + 6 b ) \u2019 s one day \u2019 s work = 1 / 3 = > ( 8 m + 16 b ) \u2019 s one day \u2019 s work = ( 15 m + 18 b ) \u2019 s one day \u2019 s work = > 7 men \u2019 s work = 2 boy \u2019 s work so , we should be employ 5 more men to be completed the work . answer : b" + }, + { + "Answer": 101.5, + "Options": "a ) rs . 55.50 , b ) rs . 67.50 , c ) rs . 86.50 , d ) rs . 101.50 , e ) none of these", + "Correct": "d", + "Explanation": "\"solution let length = ( 3 x ) metres and breadth = ( 4 x ) metres . then , 3 x \u00d7 4 x = 10092 \u21d4 12 x 2 = 10092 \u21d4 x 2 = 841 \u21d4 x = 29 . so , length = 87 m and breadth = 116 m . perimeter = [ 2 ( 87 + 116 ) ] m = 406 m . \u2234 cost of fencing = rs . ( 0.25 \u00d7 406 ) = rs . 101.50 . answer d\"" + }, + { + "Answer": 3.75, + "Options": "a ) 4.75 days , b ) 3.75 days , c ) 6.50 days , d ) 7.50 days , e ) 5.50 days", + "Correct": "b", + "Explanation": "\"explanation : 3 = ( 15 * x ) / ( 15 + x ) 45 + 3 x = 15 x 12 x = 45 x = 3.75 answer : option b\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 8 , c ) 10 , d ) 12 , e ) 15", + "Correct": "a", + "Explanation": "\"gear q makes 30 more revolutions each 60 seconds . the time to make 2 = 30 / 15 more revolutions is 60 / 15 = 4 seconds . the answer is a .\"" + }, + { + "Answer": 9.000000000000002, + "Options": "a ) 12 , b ) 11 , c ) 10 , d ) 9 , e ) 8", + "Correct": "d", + "Explanation": "let the total units of work to be done be 360 . the units of work done by a in a single day = 8 similarly , the units of work done by b in a single day = 9 . a and b \u2019 s one day work = 17 units a and b worked together for some days = 17 x ( assume ) b \u2019 s work alone for 23 days = 23 x 9 = 207 so , the work done by a and b together = ( 360 - 207 ) = 153 units therefore , 17 x = 153 = > 9 units therefore , the number of days after which a left the work was 9 days . answer : d" + }, + { + "Answer": 195, + "Options": "a ) 195 m , b ) 156 m , c ) 245 m , d ) 156 m , e ) 156 m", + "Correct": "a", + "Explanation": "\"speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 180 + x ) / 30 = 25 / 2 = = > 2 ( 180 + x ) = 750 = = > x = 195 m . answer : a\"" + }, + { + "Answer": 150, + "Options": "a ) 150 m , b ) 300 m , c ) 400 m , d ) 180 m , e ) 160 m", + "Correct": "a", + "Explanation": "explanation : assume x is the length of the train and v is the speed x / v = 15 = > v = x / 15 ( x + 100 ) / v = 25 = > v = ( x + 100 ) / 25 ie , x / 15 = ( x + 100 ) / 25 = > 5 x = 3 x + 300 = > x = 300 / 2 = 150 answer : option a" + }, + { + "Answer": 280, + "Options": "a ) 130 km , b ) 120 km , c ) 100 km , d ) 280 km , e ) none of these", + "Correct": "d", + "Explanation": "\"let the partial distance covered at 40 kmph be x let the another partial distance covered at 60 kmph be ( 250 - x ) thus , x / 40 - ( 250 - x ) / 60 = 6.5 or , x / 40 + ( 250 - x ) / 60 = 6.5 or , ( 3 x + 500 - 2 x ) / / 120 = 6.5 or 500 + x = 780 x = 280 answer : d\"" + }, + { + "Answer": 18.869426751592357, + "Options": "a ) 11 , b ) 14 , c ) 14 , d ) 12 , e ) 19", + "Correct": "e", + "Explanation": "\"2 * 22 / 7 * 8 * x = 948 = > x = 18.9 answer : e\"" + }, + { + "Answer": 14.010989010989011, + "Options": "a ) 12.9 , b ) 12.0 , c ) 14 , d ) 15 , e ) 16", + "Correct": "c", + "Explanation": "\"1500 * 17 = 1820 * x x = 14 answer : c\"" + }, + { + "Answer": 6, + "Options": "a ) 6 meters , b ) 8 meters , c ) 9 meters , d ) 10 meters , e ) 12 meters", + "Correct": "a", + "Explanation": "length of carpet = total cost / rate = 3600 / 30 = 120 m area of carpet = ( 120 x 75 ) / 100 m 2 = 90 m 2 \u2234 area of the room = 90 m 2 breadth of the room = area / length = 90 / 15 m = 6 m answer : a" + }, + { + "Answer": 45, + "Options": "a ) 45 , b ) 55 , c ) 35 , d ) 65 , e ) 70", + "Correct": "a", + "Explanation": "us = 35 ds = 55 m = ( 35 + 55 ) / 2 = 45 answer : a" + }, + { + "Answer": 200.016, + "Options": "a ) 190 metres , b ) 160 metres , c ) 200 metres , d ) 120 metres , e ) 250 metres", + "Correct": "c", + "Explanation": "speed of the train , v = 40 km / hr = 40000 / 3600 m / s = 400 / 36 m / s time taken to cross , t = 18 s distance covered , d = vt = ( 400 / 36 ) \u00d7 18 = 200 m distance covered is equal to the length of the train = 200 m correct answer is 200 metres" + }, + { + "Answer": 60, + "Options": "a ) 25 kms , b ) 60 kms , c ) 50 kms , d ) 30 kms , e ) 40 kms", + "Correct": "b", + "Explanation": "\"total eastward distance = 30 kmph * 3 / 4 hr = 22.50 km total westward distance = 50 kmph * 3 / 4 hr = 37.5 km total distn betn them = 22.5 + 37.5 = 60 km ans 60 km answer : b\"" + }, + { + "Answer": 0.16666666666666674, + "Options": "a ) 1 / 3 , b ) 1 / 4 , c ) 1 / 5 , d ) 1 / 6 , e ) 1 / 7", + "Correct": "d", + "Explanation": "let x be the volume . . . after 1 st day volume remaining = ( x - x / 3 ) = 2 x / 3 after 2 st day volume remaining = ( 2 x / 3 ) - ( ( 2 x / 3 ) * ( 3 / 4 ) ) = ( 2 x / 3 ) ( 1 - 3 / 4 ) = ( 2 x / 3 ) * ( 1 / 4 ) = x / 6 answer : d" + }, + { + "Answer": 50, + "Options": "a ) 30 kmh , b ) 40 kmh , c ) 45 kmh , d ) 50 kmh , e ) 55 kmh", + "Correct": "d", + "Explanation": "time = distance / speed difference in time = 1 / 2 hrs 75 / x - 75 / ( x + 25 ) = 1 / 2 substitute the value of x from the options . - - > x = 50 - - > 75 / 50 - 75 / 75 = 3 / 2 - 1 = 1 / 2 answer : d" + }, + { + "Answer": 0.4, + "Options": "['a ) 1 / 3', 'b ) 2 / 3', 'c ) 3 / 4', 'd ) 2 / 5', 'e ) 5 / 6']", + "Correct": "d", + "Explanation": "the volume of water in the tank is h * l * b = 50 cubic feet . since h = 2 , then l * b = 25 and l = b = 5 . since the tank is cubical , the capacity of the tank is 5 * 5 * 5 = 125 . the ratio of the water in the tank to the capacity is 50 / 125 = 2 / 5 the answer is d ." + }, + { + "Answer": 84, + "Options": "a ) 10 hours , b ) 84 hours , c ) 30 hours , d ) 40 hours , e ) 50 hours", + "Correct": "b", + "Explanation": "\"if leakage / hour = 1 / x , then 1 / 12 - 1 / x = 1 / 14 , solving 1 / x = 1 / 84 so in 84 hours full cistern will be empty . answer : b\"" + }, + { + "Answer": 6480, + "Options": "a ) rs . 5280 , b ) rs . 5500 , c ) rs . 6000 , d ) rs . 6480 , e ) rs . 7680", + "Correct": "d", + "Explanation": "area of the parallelogram = length of the base * perpendicular height = 54 * 24 = 1296 m . total cost of levelling = rs . 6480 d" + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 5", + "Correct": "a", + "Explanation": "\"( a + b ) ' s 1 day ' s work = 1 / 4 a ' s 1 day ' s work = 1 / 12 b ' s 1 days ' s work = ( 1 / 4 ) - ( 1 / 12 ) = 1 / 6 hence , b alone can complete the work in 6 days . answer is a\"" + }, + { + "Answer": 306, + "Options": "a ) 288 , b ) 267 , c ) 261 , d ) 211 , e ) 306", + "Correct": "e", + "Explanation": "the total number of stations = 18 from 18 stations we have to choose any two stations and the direction of travel ( i . e . , hyderabad to bangalore is different from bangalore to hyderabad ) in 18 p \u2082 ways . 18 p \u2082 = 18 * 17 = 306 . answer : e" + }, + { + "Answer": 16, + "Options": "a ) 5 , b ) 2 , c ) 8 , d ) 4 , e ) 16", + "Correct": "e", + "Explanation": "\"1 . we need to find out the time taken by 7 workers after day 1 . 2 . total no . of wokers * total time taken = time taken by 1 worker 3 . time taken by 1 worker = 16 * 8 = 128 days 4 . but on day 1 sixteen workers had already worked finishing 1 / 8 of the job . so 7 workers have to finish only 7 / 8 of the job . 5 . total time taken by 7 workers can be got from formula used at ( 2 ) . i . e . , 7 * total time taken = 128 . total time taken by 7 workers to finish the complete job is 128 / 7 = 18.286 days . 6 . time taken by 7 workers to finish 7 / 8 of the job is 7 / 8 * 18.286 = 16 days . the answer is choice e\"" + }, + { + "Answer": 0.75, + "Options": "a ) 1 / 2 , b ) 2 / 5 , c ) 3 / 4 , d ) 4 / 5 , e ) 5 / 8", + "Correct": "c", + "Explanation": "\"method : x = no . of boxes loaded by day crew . boxes by night crew = 3 / 4 * 4 / 9 x = 1 / 3 x % loaded by day crew = x / ( x + 1 / 3 x ) = 3 / 4 answer c\"" + }, + { + "Answer": 27, + "Options": "a ) a ) 11 , b ) b ) 18 , c ) c ) 24 , d ) d ) 27 , e ) d ) 36", + "Correct": "d", + "Explanation": "lets solve by creating equation . . w = 31 . . total = 50 . . not w = 50 - 31 = 19 . . now let people who were neither be x , so out of 19 who won nobel = x + 3 . . so x + x + 3 = 19 or x = 8 . . so who won nobel but not wolf = x + 3 = 11 . . but people who won both w and n = 13 . . so total who won n = 11 + 16 = 27 . . d" + }, + { + "Answer": 49.9960003199744, + "Options": "a ) 80 sec , b ) 20 sec , c ) 40 sec , d ) 50 sec , e ) 60 sec", + "Correct": "d", + "Explanation": "\"d = 100 + 150 = 250 s = 18 * 5 / 18 = 5 mps t = 250 / 5 = 50 sec d ) 50 sec\"" + }, + { + "Answer": 181, + "Options": "a ) 140 , b ) 181 , c ) 160 , d ) 170 , e ) 180", + "Correct": "b", + "Explanation": "\"l . c . m of two numbers is given by ( product of the two numbers ) / ( h . c . f of the two numbers ) = 1991 / 11 = 181 . answer : b\"" + }, + { + "Answer": 9, + "Options": "a ) 2 , b ) 4 , c ) 9 , d ) 12 , e ) 15", + "Correct": "c", + "Explanation": "\"sol . speed in still water = 1 / 2 ( 13 + 5 ) kmph = 9 kmph . answer c\"" + }, + { + "Answer": 76, + "Options": "a ) $ 76 , b ) $ 90 , c ) $ 92 , d ) $ 97 , e ) $ 104", + "Correct": "a", + "Explanation": "average daily wage of a worker for 15 consecutive working days = 90 $ during the first 7 days , the daily average daily wage = 87 $ during the last 7 days , the daily average daily wage = 95 $ wage on 8 th day = 90 * 15 - ( 87 * 7 + 95 * 7 ) = 1350 - ( 609 + 665 ) = 1350 - 1274 = 76 answer a" + }, + { + "Answer": 245, + "Options": "a ) 230 cm 2 , b ) 245 cm 2 , c ) 255 cm 2 , d ) 260 cm 2 , e ) 280 cm 2", + "Correct": "b", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 15 ) * ( 14 ) = 245 cm 2 answer : b\"" + }, + { + "Answer": 0.12142857142857143, + "Options": "a ) 17 / 140 , b ) 29 / 180 , c ) 26 / 143 , d ) 1 / 5 , e ) 39 / 121", + "Correct": "a", + "Explanation": "\"50 apprentices can finish the job in 4 hours , thus : 10 apprentices can finish the job in 4 * 5 = 20 hours ; in 1 hour 10 apprentices can finish 1 / 20 of the job . 30 journeymen can finish the same job in 4,5 hours , thus : 15 journeymen can finish the job in 7 * 2 = 14 hours ; in 1 hour 15 journeymen can finish 1 / 14 of the job . therefore , in 1 hour 10 apprentices and 15 journeymen can finish 1 / 20 + 1 / 14 = 17 / 140 of the job . answer : a\"" + }, + { + "Answer": 9.000000000000004, + "Options": "a ) 6 , b ) 9 , c ) 8 , d ) 7 , e ) 10", + "Correct": "b", + "Explanation": "\"one way of approaching this question is by relative speed method 1 . speed / rate of donovan = distance / time = > 300 / 45 = > 60 / 9 2 . speed / rate of michael = distance / time = > 300 / 40 = > 30 / 4 relative speed between them = 30 / 4 - 60 / 9 = > 270 - 240 / 36 = 30 / 36 = 5 / 6 ( we subtract the rates if moving in the same direction and add the rates if moving in the opposite direction ) in order to pass donovan - distance to be covered = 300 , relative rate = 5 / 6 total time taken by micheal to surpass donovan = distance / rate = > 300 * 6 / 5 = > 1800 / 5 = > 360 no . of laps taken by michael = total time / michael ' s rate = > 360 / 40 = > 9 hence correct answer is 9 laps . b\"" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 6 , c ) 8 , d ) 9 , e ) 12", + "Correct": "b", + "Explanation": "\"the choices give away the answer . . 36 machines take 4 hours to fill 8 standard orders . . in next eq we aredoubling the machines from 36 to 72 , but thework is not doubling ( only 1 1 / 2 times ) , = 4 * 48 / 72 * 24 / 8 = 6 ans b\"" + }, + { + "Answer": 6, + "Options": "a ) 11 , b ) 10 , c ) 9 , d ) 8 , e ) 6", + "Correct": "e", + "Explanation": "\"let sheila earn x dollars per hour so , on monday , wednesday and friday , she earns 8 x each and , on tuesday and thursday , she earns 6 x each in total , over the week she should earn , 3 ( 8 x ) + 2 ( 6 x ) = 36 x she earns $ 216 per week 36 x = 216 x = 6 correct option : e\"" + }, + { + "Answer": 480, + "Options": "a ) 400 cm cube , b ) 410 cm cube , c ) 420 cm cube , d ) 430 cm cube , e ) 480 cm cube", + "Correct": "e", + "Explanation": "\"area of a cuboid = lxbxh = 10 cm x 8 cm x 6 cm = 480 cm cube answer : e\"" + }, + { + "Answer": 7.0752960452818945, + "Options": "a ) 7.16 , b ) 7.16 , c ) 7.07 , d ) 7.15 , e ) 7.11", + "Correct": "c", + "Explanation": "\"t = ( 120 + 165 ) / ( 80 + 65 ) * 18 / 5 t = 7.07 answer : c\"" + }, + { + "Answer": 0.41666666666666663, + "Options": "a ) 2 / 11 , b ) 3 / 13 , c ) 5 / 12 , d ) 7 / 10 , e ) 6 / 15", + "Correct": "c", + "Explanation": "\"a ' s 1 day work = 1 / 30 b ' s 1 day work = 1 / 40 a + b 1 day work = 1 / 30 + 1 / 40 = 7 / 120 a + b 4 days work = 7 / 120 * 10 = 7 / 12 remaining work = 1 - 7 / 12 = 5 / 12 answer is c\"" + }, + { + "Answer": 0.7636363636363637, + "Options": "a ) 14 / 15 , b ) 15 / 14 , c ) 4 / 5 , d ) 42 / 55 , e ) can not be determined", + "Correct": "d", + "Explanation": "\"average speed of jack = distance / time = 42 / ( 11 / 2 ) = 84 / 11 average speed of jill = 42 / ( 4.2 ) = 10 ratio of average speed of jack to jill = ( 84 / 11 ) / 10 = 84 / 110 = 42 / 55 answer d\"" + }, + { + "Answer": 380.04, + "Options": "a ) 443 m , b ) 354 m , c ) 450 m , d ) 380 m , e ) 250 m", + "Correct": "d", + "Explanation": "\"d 350 d = 72 * 5 / 18 = 25 = 500 \u00e2 \u20ac \u201c 120 = 380\"" + }, + { + "Answer": 12.59899208063355, + "Options": "a ) 10.7 , b ) 10.9 , c ) 10.6 , d ) 12.6 , e ) 18.8", + "Correct": "d", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 190 + 160 = 350 m . required time = 350 * 9 / 250 = 12.6 sec . answer : d\"" + }, + { + "Answer": 10, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 20 , e ) 40", + "Correct": "c", + "Explanation": "lxbxh = 10000 h = 10000 / 50 * 20 = 10 cm ' c ' is the answer ." + }, + { + "Answer": 225, + "Options": "a ) 225 meter , b ) 200 meter , c ) 250 meter , d ) 210 meter , e ) 230 meter", + "Correct": "a", + "Explanation": "\"speed = 90 * ( 5 / 18 ) m / sec = 25 m / sec length of train ( distance ) = speed * time ( 25 ) * 9 = 225 meter answer : a\"" + }, + { + "Answer": 6, + "Options": "a ) 4 min , b ) 2 min , c ) 8 min , d ) 6 min , e ) 3 min", + "Correct": "d", + "Explanation": "\"s = 600 / 40 = 15 mps s = 5400 / 15 = 360 sec = 6 min . answer : d\"" + }, + { + "Answer": 200, + "Options": "a ) 40 , b ) 50 , c ) 200 , d ) 120 , e ) none", + "Correct": "c", + "Explanation": "solution let breadth = x metres then , length = ( x + 20 ) metres . perimeter = ( 5300 / 26.50 ) m = 200 m answer c" + }, + { + "Answer": 28.5, + "Options": "a ) $ 30 , b ) $ 54 , c ) $ 28.50 , d ) $ 12 , e ) $ 9.60", + "Correct": "c", + "Explanation": "4.75 * 6 = 28.50 . answer is c ." + }, + { + "Answer": 14, + "Options": "a ) 55 , b ) 56 , c ) 14 , d ) 58 , e ) none of these", + "Correct": "c", + "Explanation": "\"solution perimeter of the plot = 2 ( 90 + 50 ) = 280 m . \u2234 number of poles = [ 280 / 20 ] = 14 m answer c\"" + }, + { + "Answer": 3, + "Options": "a ) 6 , b ) 3 , c ) 4 , d ) 9 , e ) 2", + "Correct": "b", + "Explanation": "\"d = 25 * 60 + 1500 = 3000 m t = 3000 / 60 * 18 / 5 = 180 sec = 3 mins answer : b\"" + }, + { + "Answer": 4.11764705882353, + "Options": "a ) 70 / 17 , b ) 40 / 9 , c ) 50 / 9 , d ) 60 / 9 , e ) 80 / 9", + "Correct": "a", + "Explanation": "\"one day work of a = 1 / 7 one day work of b = 1 / 10 so one day work of a and b together = 1 / 7 + 1 / 10 = 17 / 70 so total days required = 70 / 17 answer : a\"" + }, + { + "Answer": 213.36, + "Options": "a ) 213 , b ) 298 , c ) 350 , d ) 726 , e ) 267", + "Correct": "a", + "Explanation": "\"d = 60 * 5 / 18 = 20 = 333 \u00e2 \u20ac \u201c 120 = 213 answer : a\"" + }, + { + "Answer": 6.666666666666667, + "Options": "a ) 15 , b ) 18 , c ) 20 / 3 , d ) 19 / 4 , e ) 25 / 4", + "Correct": "c", + "Explanation": "in 1 hour pipe a fill = 1 / 12 in 1 hour pipe b fill = 1 / 15 pipe ( a + b ) in 1 hour = [ 1 / 12 + 1 / 15 ] = 3 / 20 total time taken to fill the tank = 20 / 3 hour answer c" + }, + { + "Answer": 74, + "Options": "a ) 74.0 , b ) 54.9 , c ) 55.5 , d ) 57.0 , e ) 63.0", + "Correct": "a", + "Explanation": "\"let the distance travelled in the first hour be x . thus , 1.2 x = 24 , x = 20 . now , the distance travelled in the 3 rd hour = 24 + 1 / 4 \u00e2 \u02c6 \u2014 24 = 30 . = 24 + 20 + 30 = 74 answer : a\"" + }, + { + "Answer": 17.998560115190784, + "Options": "a ) 18 , b ) 27 , c ) 28 , d ) 12 , e ) 25", + "Correct": "a", + "Explanation": "speed of the boat downstream = 26 + 4 = 30 kmph = 30 * 5 / 18 = 8.33 m / s hence time taken to cover 150 m = 150 / 8.33 = 18 seconds . answer : a" + }, + { + "Answer": 40, + "Options": "a ) 35 , b ) 36 , c ) 40 , d ) 42 , e ) 45", + "Correct": "c", + "Explanation": "\"the time for the first part of the trip was 30 / 60 = 1 / 2 hours . the time for the second part of the trip was 30 / 30 = 1 hour . the total time for the trip was 3 / 2 hours . the average speed for the trip was 60 / ( 3 / 2 ) = 40 kph the answer is c .\"" + }, + { + "Answer": 10.799136069114471, + "Options": "a ) 15.8 sec . , b ) 12.8 sec . , c ) 11.8 sec . , d ) 10.8 sec . , e ) 08.8 sec .", + "Correct": "d", + "Explanation": "\"d 10.8 sec . relative speed = ( 60 + 40 ) km / hr = 100 x 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = ( 140 + 160 ) m = 300 m . required time = 300 x 9 / 250 = 54 / 5 = 10.8 sec .\"" + }, + { + "Answer": 36, + "Options": "a ) 23 , b ) 38 , c ) 37 , d ) 36 , e ) 28", + "Correct": "d", + "Explanation": "\"speed = distance / time = 200 / 20 = 10 m / s = 10 * 18 / 5 = 36 km / hr answer : d\"" + }, + { + "Answer": 144, + "Options": "a ) 176 kmph , b ) 144 kmph , c ) 176 kmph , d ) 134 kmph , e ) 161 kmph", + "Correct": "b", + "Explanation": "\"s = 160 / 4 * 18 / 5 = 144 kmph answer : b\"" + }, + { + "Answer": 12, + "Options": "a ) 10 seconds , b ) 12 seconds , c ) 14 seconds , d ) 16 seconds , e ) none of these", + "Correct": "b", + "Explanation": "explanation : as we need to get answer in seconds , so never forget to convert speed into meter per second . speed = 30 km / hr = 30 * 5 / 18 m / sec = 25 / 3 m / sec distance = length of train = 100 meter required time = distancespeed = 100253 = 100 \u2217 325 = 12 sec answer : b" + }, + { + "Answer": 120, + "Options": "a ) 120 , b ) 278 , c ) 378 , d ) 368 , e ) 367", + "Correct": "a", + "Explanation": "\"4 * 5 * 6 = 120 answer : a\"" + }, + { + "Answer": 32, + "Options": "a ) 14 , b ) 16 , c ) 21 , d ) 22 , e ) 32", + "Correct": "e", + "Explanation": "\"i treat such problems as work ones . work = rate * time mileage ( m ) = rate ( mpg ) * gallons ( g ) x gallons is a full tank { 462 = rx { 336 = ( r - 12 ) x solve for r , r = 44 44 - 12 = 32 mpg e\"" + }, + { + "Answer": 20, + "Options": "a ) 12 , b ) 15 , c ) 18 , d ) 20 , e ) 25", + "Correct": "d", + "Explanation": "speed of b = s speed of a = s + 5 time taken by b = 300 / s time taken by a = 300 / ( s + 5 ) difference in their time is 3 hrs . 300 / s - 3 = 300 / ( s + 5 ) plug in the values from the option no need of choosing 12 & 18 it wo n ' t satisfy a ) if we take 15 then t ( b ) = 300 / 15 = 20 t ( a ) = 300 / 20 = 15 . hence from this option difference comes out to be 5 which is not correct b ) if we take 20 then t ( b ) = 300 / 20 = 15 t ( a ) = 300 / 25 = 12 difference in timing is 3 hence option d is correct" + }, + { + "Answer": 5.25, + "Options": "a ) 5 , b ) 7 , c ) 15 / 2 , d ) 21 / 4 , e ) 18 / 5", + "Correct": "d", + "Explanation": "\"son ' s 1 day ' s work = ( 1 / 3 ) - ( 1 / 7 ) = 4 / 21 the son alone can do the work in 21 / 4 days answer is d\"" + }, + { + "Answer": 600, + "Options": "a ) 186 m , b ) 176 m , c ) 100 m , d ) 600 m , e ) 765 m", + "Correct": "d", + "Explanation": "\"speed = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec length of the train = ( speed x time ) = ( 50 / 3 * 36 ) m = 600 m . answer : d\"" + }, + { + "Answer": 4, + "Options": "a ) a ) 2 , b ) b ) 4 , c ) c ) 7 , d ) d ) 5 , e ) e ) 8", + "Correct": "b", + "Explanation": "explanation : | - - - - - - - - - - - 20 - - - - - - - - - - - - - - - - - - - - | 50 45 d = 20 rs = 50 \u2013 45 = 5 t = 20 / 5 = 4 hours answer : option b" + }, + { + "Answer": 10, + "Options": "a ) 1 minutes , b ) 10 minute , c ) 100 minutes , d ) 10000 minutes , e ) 1000 minutes", + "Correct": "b", + "Explanation": "\"we can try the logic of time and work , our work is to kill the deers so 10 ( lions ) * 10 ( min ) / 10 ( deers ) = 100 ( lions ) * x ( min ) / 100 ( deers ) hence answer is x = 10 answer : b\"" + }, + { + "Answer": 222.22222222222217, + "Options": "a ) 110.22 meters , b ) 111.22 meters , c ) 222.22 meters , d ) 333.22 meters , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : a runs 1000 meters while b runs 900 meters and c runs 700 meters . therefore , b runs 900 meters while c runs 700 meters . so , the number of meters that c runs when b runs 1000 meters = ( 1000 x 700 ) / 900 = 777.77 meters thus , b can give c ( 1000 - 777.77 ) = 222.22 meters start answer : c\"" + }, + { + "Answer": 1, + "Options": "a ) 1 / 3 , b ) 2 / 3 , c ) 3 / 3 , d ) 3 / 1 , e ) 3 / 2", + "Correct": "c", + "Explanation": "\"no of cups leaked during the trip = 2 cups . no of cups harry drank = 6 cups . no of cups harry drank during the first 3 miles = 3 . drink / mile = 3 / 3 answer : c\"" + }, + { + "Answer": 1, + "Options": "a ) 1.0 , b ) 1.5 , c ) 2.0 , d ) 2.5 , e ) 3.0", + "Correct": "a", + "Explanation": "\"in the third time interval the average speed of the car was 2 + 5 + 5 = 12 miles per hour ; in 5 minutes ( 1 / 12 hour ) at that speed car would travel 12 * 1 / 12 = 1 miles . answer : a .\"" + }, + { + "Answer": 12.000000000000002, + "Options": "a ) 10 sec , b ) 16 sec , c ) 12 sec , d ) 67 sec , e ) 13 sec", + "Correct": "c", + "Explanation": "\"rs = 60 - 40 = 20 * 5 / 18 = 100 / 18 t = 50 d = 60 * 100 / 18 = 1000 / 3 rs = 60 + 40 = 100 * 5 / 18 t = 1000 / 3 * 18 / 500 = 12 sec answer : c\"" + }, + { + "Answer": 30, + "Options": "a ) 20 km , b ) 30 km , c ) 40 km , d ) 50 km , e ) 60 km", + "Correct": "b", + "Explanation": "number of stops in an hour : 60 / 5 = 12 distance between stops : 60 / 12 = 5 km distance between yahya ' s house and pinedale mall : 5 x 6 = 30 km imo , correct answer is ` ` b . ' '" + }, + { + "Answer": 8, + "Options": "a ) 7 days , b ) 14 days , c ) 6 days , d ) 8 days , e ) 9 days", + "Correct": "d", + "Explanation": "explanation : 16 boys = 24 girls , 1 boy = 24 / 16 girls 1 boy = 6 / 4 girls 4 boys + 12 girls = 4 \u00e3 \u2014 6 / 4 + 12 = 6 + 12 = 18 girls 8 days to complete the work answer : option d" + }, + { + "Answer": 7.499999999999998, + "Options": "a ) 7.5 hr , b ) 8 hr , c ) 8.5 hr , d ) 10 hr , e ) none of these", + "Correct": "a", + "Explanation": "\"solution : work done by all the tanks working together in 1 hour . 1 / 10 + 1 / 12 \u2212 1 / 20 = 2 / 15 hence , tank will be filled in 15 / 2 = 7.5 hour option ( a )\"" + }, + { + "Answer": 56, + "Options": "a ) 18 days , b ) 38 days , c ) 42 days , d ) 48 days , e ) 56 days", + "Correct": "e", + "Explanation": "\"14 * 80 = 20 * x x = 56 days answer : e\"" + }, + { + "Answer": 40, + "Options": "a ) 10 , b ) 30 , c ) 20 , d ) 40 , e ) 35", + "Correct": "d", + "Explanation": "solution : let the two numbers be 3 x and 4 x . then , ( 3 x + 10 ) / ( 4 x + 10 ) = 4 / 5 . = > 15 x + 50 = 16 x + 40 = > x = 10 . . ' . second term = 4 * 10 = 40 . answer is d" + }, + { + "Answer": 20, + "Options": "a ) 14 min , b ) 20 min , c ) 18 min , d ) 19 min , e ) 13 min", + "Correct": "b", + "Explanation": "\"s = 600 / 40 = 15 mps s = 18000 / 15 = 1200 sec = 20 min . answer : b\"" + }, + { + "Answer": 14.998800095992321, + "Options": "a ) 144 , b ) 15 , c ) 18 , d ) 32 , e ) 38", + "Correct": "b", + "Explanation": "time taken to meet the first time = length of track / relative speed = 250 / ( 20 + 40 ) ( 5 / 18 ) = 250 / 60 * ( 18 / 5 ) = 15 sec . answer : b" + }, + { + "Answer": 3.000000000000001, + "Options": "a ) 3 hr , b ) 1 / 2 hr , c ) 1 hr , d ) 9 / 7 hr , e ) 5 / 3 hr", + "Correct": "a", + "Explanation": "\"net part filled in 1 hour = 1 / 3 + 1 / 4 - 1 / 4 = 1 / 3 the tank will be full in 3 hr answer is a\"" + }, + { + "Answer": 62, + "Options": "a ) 56 , b ) 58 , c ) 60 , d ) 62 , e ) 64", + "Correct": "d", + "Explanation": "\"( 3 / 2 ) * 5 = 7.5 hours 465 / 7.5 = 62 kph the answer is d .\"" + }, + { + "Answer": 3.9996800255979523, + "Options": "a ) 4 sec , b ) 7 sec , c ) 2 sec , d ) 6 sec , e ) 9 sec", + "Correct": "a", + "Explanation": "\"t = 60 / 54 * 18 / 5 = 4 sec answer : a\"" + }, + { + "Answer": 0.75, + "Options": "a ) 0.25 , b ) 0.5 , c ) 0.75 , d ) 1 , e ) 1.25", + "Correct": "c", + "Explanation": "\"time = 2 / 4 + 2 / 8 = 6 / 8 = 0.75 hours the answer is c .\"" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 7 , c ) 5 , d ) 9 , e ) 6", + "Correct": "a", + "Explanation": "\"m = 10 s = 4 us = 10 - 4 = 6 d = 12 t = 12 / 6 = 2 answer : a\"" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", + "Correct": "d", + "Explanation": "\"24 / ( 2 * 2 ) = 6 days answer : d\"" + }, + { + "Answer": 32, + "Options": "a ) 38 minutes , b ) 35 minutes , c ) 32 minutes , d ) 29 minutes , e ) 26 minutes", + "Correct": "c", + "Explanation": "4 * 40 = 5 * x x = 32 answer : c" + }, + { + "Answer": 52.5042, + "Options": "a ) 60.8 , b ) 18 , c ) 30 , d ) 52.5 , e ) none", + "Correct": "d", + "Explanation": "\"solution speed = 189 kmph = ( 189 x 5 / 18 ) m / sec = 52.5 m / sec . answer d\"" + }, + { + "Answer": 17, + "Options": "a ) 10 , b ) 13 , c ) 14 , d ) 15 , e ) 17", + "Correct": "e", + "Explanation": "\"according to the chain rule , m 1 x t 1 = m 2 x t 2 therefore , 51 x 12 x 5 = 30 x 6 x x x = 17 hence , the number of days = 17 . answer : e\"" + }, + { + "Answer": 42.3, + "Options": "a ) 32 , b ) 42 , c ) 54 , d ) 66 , e ) 09", + "Correct": "b", + "Explanation": "\"s = ( 150 + 320 ) / 40 = 470 / 40 * 18 / 5 = 42 answer : b\"" + }, + { + "Answer": 6, + "Options": "a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3", + "Correct": "b", + "Explanation": "\"let the required number days be x . less spiders , more days ( indirect proportion ) less webs , less days ( direct proportion ) spiders 1 : 6 webs 6 : 1 1 x 6 x x = 6 x 1 x 6 = > x = 6 answer is b\"" + }, + { + "Answer": 2, + "Options": "a ) 2 / 1 , b ) 3 / 8 , c ) 8 / 5 , d ) 5 / 8 , e ) 5 / 3", + "Correct": "a", + "Explanation": "\"distance traveled by eddy = 600 km time taken by eddy = 3 hours average speed of eddy = 600 / 3 = 200 km / hour distance traveled by freddy = 300 km time taken by freddy = 3 hours average speed of freddy = 300 / 3 = 100 km / hour ratio of average speed of eddy to freddy = 200 / 100 = 2 / 1 answer a\"" + }, + { + "Answer": 46, + "Options": "a ) 1 , b ) 46 , c ) 20 , d ) 26 , e ) 30", + "Correct": "b", + "Explanation": "\"explanation : one bag of husk = 46 cows per day \u21d2 46 \u00d7 1 \u00d7 46 = 1 \u00d7 46 \u00d7 x for one cow = 46 days answer : b\"" + }, + { + "Answer": 12, + "Options": "a ) 1 minute , b ) 5 minutes , c ) 12 minutes , d ) 20 minutes , e ) 24 minutes", + "Correct": "c", + "Explanation": "4 kmph , 6 kmph and 8 kmph is equal to 4000 / 60 mtrs / min , 6000 / 60 mtrs / min and 8000 / 60 mtrs / min or 200 / 3 , 100 , 400 / 3 mtrs / min respectively . seeing this we can infer that the answer should be at least divisible by 3 . ( minutes in options are integers . so if the answer is not divisible by 3 , we will have 200 / 3 * answer = distance traveled by a in fractions whereas 100 * answer = distance traveled by a as integer ) so , a , b and d are out . at 12 min a , b and c will travel 800 , 1200 and 1600 mtrs respectively . length of the circle is given as 400 mtrs . as 800 , 1200 and 1600 are divisible by 400 , we can say that a , b and c will be at starting point after 12 min . hence , c will be the answer ." + }, + { + "Answer": 24, + "Options": "a ) 22 , b ) 24 , c ) 26 , d ) 25 , e ) 23", + "Correct": "b", + "Explanation": "let the number of workers employed to build the wall in 30 hours be y 48 * 15 = 30 * y ( 48 * 15 ) / 30 = y y = 24 answer : b" + }, + { + "Answer": 0.25, + "Options": "a ) 1 / 2 , b ) 1 / 5 , c ) 1 / 3 , d ) 1 / 4 , e ) 1 / 6", + "Correct": "d", + "Explanation": "part filled by ( a + b + c ) in 3 minutes = 3 ( 1 / 20 + 1 / 20 + 1 / 30 ) = 6 / 15 part filled by c in 3 minutes = 3 / 30 required ratio = 3 / 30 * 15 / 6 = 1 / 4 answer : d" + }, + { + "Answer": 2, + "Options": "a ) 1 hr , b ) 2 hrs , c ) 3 hrs , d ) 4 hrs , e ) 5 hrs", + "Correct": "b", + "Explanation": "\"speed downstream = ( 30 + 5 ) km / hr = 35 km / hr . time taken to travel 68 km downstream = 70 / 35 hrs = 2 hrs . b\"" + }, + { + "Answer": 12, + "Options": "a ) 11 days , b ) 15 days , c ) 12 days , d ) 21 days , e ) 22 days", + "Correct": "c", + "Explanation": "\"explanation : a and b can do work 1 / 6 in 1 day a alone can do 1 / 12 work in 1 day b alone can do ( 1 / 6 - 1 / 12 ) = 1 / 12 work in 1 day = > complete work can be done in 12 days by b answer : option c\"" + }, + { + "Answer": 450, + "Options": "a ) 227 , b ) 299 , c ) 450 , d ) 750 , e ) 211", + "Correct": "c", + "Explanation": "\"speed = [ 54 * 5 / 18 ] m / sec = 15 m / sec ; time = 1 min . = 60 sec . let the length of the train and that of the platform be x meters . then , 2 x / 60 = 15 \u00e8 x = 15 * 60 / 2 = 450 answer : c\"" + }, + { + "Answer": 4.117647058823529, + "Options": "a ) 3.75 days , b ) 4.11 days , c ) 5.11 days , d ) 6.75 days , e ) 7.33 days", + "Correct": "b", + "Explanation": "\"1 / 7 + 1 / 10 = 17 / 70 70 / 17 = 4.11 days answer : b\"" + }, + { + "Answer": 30, + "Options": "a ) 30 min , b ) 10 min , c ) 12 min , d ) 20 min , e ) 18 min", + "Correct": "a", + "Explanation": "\"speed of the bus without stoppage = 48 km / hr speed of the bus with stoppage = 24 km / hr difference in speed = 24 km / hr so , the time taken in the stoppages = time taken to cover 24 km = ( 24 / 48 ) hr = 1 / 2 hr = 30 min answer : a\"" + }, + { + "Answer": 118.75, + "Options": "a ) 100 , b ) 118 , c ) 120 , d ) 125 , e ) 70", + "Correct": "b", + "Explanation": "\"explanation : we need so simple divide 47.5 / 0.40 , = ( 4750 / 40 ) = 118 option b\"" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15", + "Correct": "b", + "Explanation": "time taken by racing magic to make one circle = 60 seconds time taken bycharging bullto make one circle = 60 mins / 40 = 1.5 mins = 90 seconds lcm of 90 and 60 seconds = 180 seconds time taken for them to meet at the starting point for the second time = 180 * 2 = 360 seconds = 6 mins answer b" + }, + { + "Answer": 2.6666666666666665, + "Options": "a ) 3.75 days , b ) 3.99 days , c ) 2.67 days , d ) 2.98 days , e ) 2.44 days", + "Correct": "c", + "Explanation": "\"1 / 4 + 1 / 8 = 3 / 8 8 / 3 = 2.67 days answer : c\"" + }, + { + "Answer": 44, + "Options": "a ) 22 km , b ) 20 km , c ) 44 km , d ) 18 km , e ) 16 km", + "Correct": "c", + "Explanation": "\"distance = relative speed * time = ( 8 + 3 ) * 4 = 44 km [ they are travelling in the opposite direction , relative speed = sum of the speeds ] . answer : c\"" + }, + { + "Answer": 18, + "Options": "a ) 35 , b ) 56 , c ) 76 , d ) 18 , e ) 24", + "Correct": "d", + "Explanation": "\"the product of two integers is equal to the product of their lcm and gcf . hence . 10 * n = 36 * 5 n = 36 * 5 / 10 = 18 correct answer d\"" + }, + { + "Answer": 45, + "Options": "a ) 45 m , b ) 56 m , c ) 39 m , d ) 33 m , e ) 62 m", + "Correct": "a", + "Explanation": "relative speed = ( 18 - 15 ) = 3 mps . distance covered in 15 sec = 15 * 3 = 45 m . the length of the faster train = 45 m . answer : a" + }, + { + "Answer": 659.7344572538564, + "Options": "['a ) rs . 660', 'b ) rs . 40', 'c ) rs . 44', 'd ) rs . 42', 'e ) rs . 43']", + "Correct": "a", + "Explanation": "explanation : \u03c0 ( 19 ^ 2 - 16 ^ 2 ) = 22 / 7 * ( 361 - 256 ) = 330 330 * 2 = rs . 660 answer : option a" + }, + { + "Answer": 700, + "Options": "a ) 700 hours , b ) 350 hours , c ) 1400 hours , d ) 1010 hours , e ) none of these", + "Correct": "a", + "Explanation": "explanation : speed downstream = ( 14 + 1.2 ) = 15.2 kmph speed upstream = ( 14 - 1.2 ) = 12.8 kmph total time taken = ( 4864 / 15.2 ) + ( 4864 / 12.8 ) = 320 + 380 = 700 hours . answer : option a" + }, + { + "Answer": 8.4, + "Options": "a ) 6.75 , b ) 7 , c ) 7.25 , d ) 7.5 , e ) 8.4", + "Correct": "e", + "Explanation": "\"let ' s suppose that speed while returning was xkm / h since the distance is same , we can apply the formula of avg speed avg speed = 2 s 1 s 2 / s 1 + s 2 7 = 2 * 6 * x / 6 + x x = 8.4 e is the answer\"" + }, + { + "Answer": 150, + "Options": "a ) 130 , b ) 135 , c ) 140 , d ) 145 , e ) 150", + "Correct": "e", + "Explanation": "\"the projectiles travel a total of 1008 km per hour . the time to meet is 2520 / 1008 = 2.5 hours = 150 minutes the answer is e .\"" + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", + "Correct": "b", + "Explanation": "the least common multiple is 2 * 2 * 3 * 5 * 7 = 420 . 3600 seconds / 420 = 8 + remainder . the answer is b ." + }, + { + "Answer": 50.004, + "Options": "a ) 10 mps , b ) 05 mps , c ) 50 mps , d ) 12 mps , e ) 11 mps", + "Correct": "c", + "Explanation": "\"c 50 mps 180 * 5 / 18 = 50 mps\"" + }, + { + "Answer": 54, + "Options": "a ) 45 minutes , b ) 50 minutes , c ) 40 minutes , d ) 54 minutes , e ) 35 minutes", + "Correct": "d", + "Explanation": "\"as they arrived 12 minutes earlier than usual , they saved 12 minutes on round trip from home to station ( home - station - home ) - - > 6 minutes in each direction ( home - station ) - - > wife meets husband 6 minutes earlier the usual meeting time - - > husband arrived an hour earlier the usual meeting time , so he must have spent waking the rest of the time before their meeting , which is hour - 6 minutes = 54 minutes . answer : d\"" + }, + { + "Answer": 21.04615384615385, + "Options": "a ) 20 seconds , b ) 4 seconds , c ) 31.04 seconds , d ) 11.04 seconds , e ) 21.04 seconds", + "Correct": "e", + "Explanation": "\"speed = 65 km / hr = 65 * ( 5 / 18 ) m / sec = 18.06 m / sec total distance = 200 + 180 = 380 meter time = distance / speed = 380 * ( 100 / 1806 ) = 21.04 seconds answer : e\"" + }, + { + "Answer": 90.00000000000003, + "Options": "a ) 30 , b ) 45 , c ) 60 , d ) 90 , e ) 120", + "Correct": "d", + "Explanation": "whole trip = distance by foot + distance by bus + distance by car x = 1 / 5 x + 2 / 3 x + 12 x - 13 / 15 x = 12 2 / 15 x = 12 = > so x = ( 15 / 2 ) * 12 = 90 km answer d" + }, + { + "Answer": 4, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", + "Correct": "c", + "Explanation": "\"a ' s rate is 1 / 20 and b ' s rate is 1 / 5 . the combined rate is 1 / 20 + 1 / 5 = 1 / 4 the pipes will fill the tank in 4 minutes . the answer is c .\"" + }, + { + "Answer": 25, + "Options": "a ) 11 , b ) 25 , c ) 30 , d ) 88 , e ) 34", + "Correct": "b", + "Explanation": "\"us = 12 ds = 38 m = ( 12 + 38 ) / 2 = 25 answer : b\"" + }, + { + "Answer": 15, + "Options": "a ) 15 , b ) 12.5 , c ) 10 , d ) 8 , e ) 7.75", + "Correct": "a", + "Explanation": "let ' s suppose that speed while returning was xkm / h since the distance is same , we can apply the formula of avg speed avg speed = 2 s 1 s 2 / s 1 + s 2 5 = 2 * 3 * x / 3 + x x = 15 a is the answer" + }, + { + "Answer": 10.909090909090908, + "Options": "a ) 11 , b ) 12 , c ) 10.9 , d ) 14 , e ) 15", + "Correct": "c", + "Explanation": "\"speed of the first train = 120 / 10 = 12 m / sec . speed of the second train = 120 / 12 = 10 m / sec . relative speed = 12 + 10 = 22 m / sec . required time = ( 120 + 120 ) / 22 = 10.9 sec . answer : option c\"" + }, + { + "Answer": 2.5, + "Options": "a ) 1.2 hr , b ) 2.5 hrs , c ) 3 hrs , d ) 5.2 hrs , e ) 6 hrs", + "Correct": "b", + "Explanation": "\"to be ( 10 + 10 ) km apart , they take 1 hour to be 50 km apart , they take 1 / 20 * 50 = 2.5 hrs answer is b\"" + }, + { + "Answer": 48, + "Options": "a ) 32 kmph , b ) 48 kmph , c ) 34 kmph , d ) 43 kmph , e ) 40 kmph", + "Correct": "b", + "Explanation": "\"s = ( 100 + 300 ) / 30 = 400 / 30 * 18 / 5 = 48 answer : b\"" + }, + { + "Answer": 5600, + "Options": "a ) 6400 , b ) 6410 , c ) 5600 , d ) 6500 , e ) 6800", + "Correct": "c", + "Explanation": "\"number of bricks = volume of wall / volume of bricks = 700 x 600 x 22.5 / 25 x 11.25 x 6 = = 5600 answer : c\"" + }, + { + "Answer": 28, + "Options": "a ) 12 , b ) 16 , c ) 20 , d ) 24 , e ) 28", + "Correct": "e", + "Explanation": "let t = usual time = distance / usual speed t + 7 = distance / ( 4 * usual speed / 5 ) = ( 5 * distance ) / ( 4 * usual speed ) = 5 t / 4 t = 28 the answer is e ." + }, + { + "Answer": 4.800000000000001, + "Options": "a ) 4.8 days , b ) 3.8 days , c ) 3.65 days , d ) 3.77 days , e ) 5.75 days", + "Correct": "a", + "Explanation": "\"1 / 8 + 1 / 12 = 5 / 24 24 / 5 = 4.8 days answer : a\"" + }, + { + "Answer": 240, + "Options": "a ) 250 , b ) 240 , c ) 230 , d ) 245 , e ) 235", + "Correct": "b", + "Explanation": "if the destination is d kilometer and the speed in order to reach on schedule is s km / hour , the time taken to reach on schedule is d / s hours thus we get two equations : d / 144 = d / s - 1 / 3 and d / 100 = d / s + 2 / 5 and subtracting the first equation from the second we get : 44 d / 14400 = 11 / 15 thus d = 14400 x 11 / 44 x 15 = 240 answer : b" + }, + { + "Answer": 120, + "Options": "a ) 32 kmph , b ) 76 kmph , c ) 120 kmph , d ) 43 kmph , e ) 40 kmph", + "Correct": "c", + "Explanation": "\"s = ( 100 + 300 ) / 12 = 400 / 12 * 18 / 5 = 120 answer : c\"" + }, + { + "Answer": 227.02999999999997, + "Options": "a ) 211 , b ) 219 , c ) 227 , d ) 235 , e ) 243", + "Correct": "c", + "Explanation": "\"speed = 45 km / h = 45000 m / 3600 s = 25 / 2 m / s in 30 seconds , the train can travel 25 / 2 * 30 = 375 meters 375 = length of train + length of bridge length of bridge = 375 - 148 = 227 meters the answer is c .\"" + }, + { + "Answer": 0.7, + "Options": "a ) 7 / 10 , b ) 2 / 5 , c ) 3 / 5 , d ) 4 / 5 , e ) 5 / 8", + "Correct": "a", + "Explanation": "\"method : x = no . of boxes loaded by day crew . boxes by night crew = 3 / 4 * 4 / 7 x = 3 / 7 x % loaded by day crew = x / ( x + 3 / 7 x ) = 7 / 10 answer a\"" + }, + { + "Answer": 20, + "Options": "a ) 18 , b ) 20 , c ) 22 , d ) 24 , e ) 26", + "Correct": "b", + "Explanation": "let payments for the first year = x given , x + x + 2 + x + 5 + x + 9 = 96 4 x + 16 = 96 x = 20 answer : b" + }, + { + "Answer": 1055.9999999999998, + "Options": "a ) 277 m , b ) 704 m , c ) 278 m , d ) 288 m , e ) 1056 m", + "Correct": "e", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 750 resolutions . = 750 * 2 * 22 / 7 * 22.4 = 105600 cm = 1056 m answer : e\"" + }, + { + "Answer": 360, + "Options": "a ) 370 , b ) 365 , c ) 360 , d ) 380 , e ) 350", + "Correct": "c", + "Explanation": "\"c 450 * t = 1 km = > t = 1 / 450 km / h v * ( t + 2 / 3600 ) = 1 v ( 1 / 450 + 2 / 3600 ) = 1 = > v = 360 km / h\"" + }, + { + "Answer": 16, + "Options": "a ) 15 , b ) 16 , c ) 18 , d ) 25 , e ) 10", + "Correct": "b", + "Explanation": "\"solution ratio of times taken by sakshi and tanya = 125 : 100 = 5 : 4 . suppose tanya taken x days to do the work . 5 : 4 : : 20 : x \u21d2 x = ( 20 x 4 / 5 ) \u21d2 x = 16 days . hence , tanya takes 16 days is complete the work . answer b\"" + }, + { + "Answer": 380, + "Options": "a ) 987 , b ) 177 , c ) 357 , d ) 267 , e ) 380", + "Correct": "e", + "Explanation": "\"the total number of stations = 20 from 20 stations we have to choose any two stations and the direction of travel ( i . e . , hyderabad to bangalore is different from bangalore to hyderabad ) in \u00b2 \u2070 p \u2082 ways . \u00b2 \u2070 p \u2082 = 20 * 19 = 380 . answer : e\"" + }, + { + "Answer": 2.5191640969412834, + "Options": "a ) 2.5 , b ) 2.4 , c ) 2.3 , d ) 2.2 , e ) 2.1", + "Correct": "a", + "Explanation": "90 / ( v - 3 ) = 90 / ( v + 3 ) + 0.5 hours = > 90 ( v + 3 ) = ( v - 3 ) [ 90 + 0.5 v + 1.5 ] 90 v + 270 = ( v - 3 ) ( 183 / 2 + v / 2 ) 180 v + 540 = ( v - 3 ) ( 183 + v ) = 183 v - 549 + v ^ 2 - 3 v v ^ 2 - 1089 = 0 = > v = 33 miles / hr = > time downstream = 90 / 36 = 30 / 12 = 5 / 2 = 2.5 hrs answer a 2.5" + }, + { + "Answer": 5, + "Options": "a ) 4 days , b ) 5 days , c ) 8 days , d ) 9 days , e ) 10 days", + "Correct": "b", + "Explanation": "a and b 1 day work = 1 / 6 b and c 1 day work = 1 / 10 c and a 1 day work = 1 / 7.5 a , b , c 1 day work = ( 1 / 6 + 1 / 10 + 1 / 7.5 ) * 1 / 2 = 1 / 5 so a . b . c completes work in 5 days answer : b" + }, + { + "Answer": 60, + "Options": "a ) 77 , b ) 60 , c ) 99 , d ) 26 , e ) 21", + "Correct": "b", + "Explanation": "kim ' s wages : david ' s wages = kim ' s 1 day work : david ' s 1 day work = 1 / 3 : 1 / 2 = 2 : 3 kim ' s share = 2 / 5 * 150 = rs . 60 answer : b" + }, + { + "Answer": 24.000000000000007, + "Options": "a ) 24 hours , b ) 20 hours , c ) 30 hours , d ) 40 hours , e ) 50 hours", + "Correct": "a", + "Explanation": "\"if leakage / hour = 1 / x , then 1 / 6 - 1 / x = 1 / 8 , solving 1 / x = 1 / 24 so in 24 hours full cistern will be empty . answer : a\"" + }, + { + "Answer": 3708, + "Options": "a ) 60 , b ) 61.2 , c ) 62.5 , d ) 3,708 , e ) 3,672", + "Correct": "d", + "Explanation": "\"moon revolves around the earth at a speed of 1.02 kilometers per second . one hour equal to 60 minutes . one minute equals to 60 seconds . so one hour equals to 3600 seconds . so one hour , speed = 1.03 * 3600 = 3708 kilometers per hour . option d is correct\"" + }, + { + "Answer": 225, + "Options": "a ) rs 220 , b ) rs . 225 , c ) rs . 230 , d ) rs . 235 , e ) rs . 255", + "Correct": "b", + "Explanation": "\"a : b : c = 9 : 10 : 13 . hire charges paid by b = rs . 720 * 10 / 32 = rs . 225 . answer : b\"" + }, + { + "Answer": 16, + "Options": "a ) 26 h , b ) 16 h , c ) 86 h , d ) 96 h , e ) 66 h", + "Correct": "b", + "Explanation": "explanation : if t 1 and t 2 are the upstream and down stream times . then time taken in still water is given by \\ inline \\ frac { 2 \\ times t 1 \\ times t 2 } { t 1 + t 2 } = \\ frac { 2 \\ times 12 \\ times 24 } { 36 } = 16 h answer : b" + }, + { + "Answer": 492, + "Options": "a ) 252 kms , b ) 152 kms , c ) 492 kms , d ) 752 kms , e ) 152 kms", + "Correct": "c", + "Explanation": "\"explanation : total distance travelled in 12 hours = ( 30 + 32 + 34 + . . . . . upto 12 terms ) this is an a . p with first term , a = 30 , number of terms , n = 12 , d = 2 . required distance = 12 / 2 [ 2 x 30 + { 12 - 1 ) x 2 ] = 6 ( 82 ) = 492 kms . answer : c\"" + }, + { + "Answer": 16.665333439991468, + "Options": "a ) 22 sec , b ) 77 sec , c ) 16.7 sec , d ) 18 sec , e ) 17 sec", + "Correct": "c", + "Explanation": "\"d = 100 + 150 = 250 s = 54 * 5 / 18 = 15 mps t = 250 / 15 = 16.7 sec answer : c\"" + }, + { + "Answer": 60, + "Options": "a ) 10 % , b ) 20 % , c ) 30 % , d ) 40 % , e ) 60 %", + "Correct": "e", + "Explanation": "let ' s test x = 4 . . . . on sunday , daniel drove 120 miles at 4 miles / hour . d = ( r ) ( t ) 120 = ( 4 ) ( t ) 120 / 4 = 30 = t it takes 30 hours to drive home on monday , daniel drove the first 32 miles at ( 2 ) ( 4 ) = 8 miles / hour and the rest of the way ( 88 miles ) at 4 / 2 = 2 miles / hour d = ( r ) ( t ) 32 = ( 8 ) ( t ) 32 / 8 = 4 = t it takes 4 hours for the first part d = ( r ) ( t ) 88 = ( 2 ) ( t ) 88 / 2 = 44 = t it takes 44 hours for the second part total time to drive home on monday = 4 + 44 = 48 hours we ' re asked by what percent 48 hours is greater than 30 hours . 48 / 30 = 1.6 , so it is 60 % greater . answer : e" + }, + { + "Answer": 13.999999999999995, + "Options": "a ) 33 , b ) 37 , c ) 76 , d ) 14 , e ) 29", + "Correct": "d", + "Explanation": "explanation : work done by the leak in 1 hour = { \\ color { black } \\ left ( \\ frac { 1 } { 2 } - \\ frac { 3 } { 7 } \\ right ) = \\ frac { 1 } { 14 } } { \\ color { black } \\ therefore } leak will empty the tank in 14 hrs answer : d ) 14 hours" + }, + { + "Answer": 68, + "Options": "a ) 12 hours , b ) 68 hours , c ) 36 hours , d ) 58 hours , e ) none", + "Correct": "b", + "Explanation": "\"sol . speed upstream = 3 kmph ; speed downstream = 15 kmph . \u2234 total time taken = [ 105 / 7.5 + 105 / 10.5 ] hours = 68 hours . answer b\"" + }, + { + "Answer": 34.285714285714285, + "Options": "a ) 36 kmh , b ) 40 kmh , c ) 42 kmh , d ) 44 kmh , e ) 34 kmh", + "Correct": "e", + "Explanation": "\"assume d / 3 = 240 ( this number is convenient because it is divisible by 80 , 24 and 30 ) so : 240 = 80 * t 1 = 3 hrs 240 = 24 * t 2 = 10 hrs 240 = 30 * t 3 = 8 hrs t = t 1 + t 2 + t 3 = 21 hrs d = rt ( 240 * 3 ) = r * 21 r = 34 answer : e\"" + }, + { + "Answer": 14.284571519992687, + "Options": "a ) 22 sec , b ) 77 sec , c ) 25 sec , d ) 14.3 sec , e ) 17 sec", + "Correct": "d", + "Explanation": "\"d = 100 + 150 = 250 s = 63 * 5 / 18 = 17.5 mps t = 250 / 17.5 = 14.3 sec answer : d\"" + }, + { + "Answer": 9.999999999999993, + "Options": "a ) 13 , b ) 12 , c ) 11 , d ) 10 , e ) 9", + "Correct": "d", + "Explanation": "let the distance to the bus stop is ` ` d ' ' km time taken by her ( at 5 kmph ) = d / 5 hour , and time taken by her ( at 6 kmph ) = d / 6 hour as per given condition , d / 5 - d / 6 = 20 / 60 d = 10 kms answer : d" + }, + { + "Answer": 49, + "Options": "a ) 49 , b ) 50 , c ) 53.5 , d ) 55 , e ) 57", + "Correct": "a", + "Explanation": "\"explanation : area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 4 x 1.25 + 6 x 1.25 ) + 6 x 4 ] m 2 = 49 m 2 answer : a\"" + }, + { + "Answer": 9, + "Options": "a ) 2 a . m , b ) 6 a . m , c ) 9 a . m , d ) 5 a . m , e ) 1 a . m", + "Correct": "c", + "Explanation": "9 a . m . answer : c" + }, + { + "Answer": 400, + "Options": "a ) 280 , b ) 320 , c ) 360 , d ) 400 , e ) 480", + "Correct": "d", + "Explanation": "\"easy 400 is the answer . 3 / 4 ( x / 2 ) = 150 x = 150 * 8 / 3 = 400 . answer d\"" + }, + { + "Answer": 7.626056582140095, + "Options": "a ) 7.19 , b ) 7.17 , c ) 7.62 , d ) 7.15 , e ) 7.11", + "Correct": "c", + "Explanation": "\"t = ( 121 + 165 ) / ( 80 + 55 ) * 18 / 5 t = 7.62 answer : c\"" + }, + { + "Answer": 12960.000000000004, + "Options": "a ) 7580 , b ) 12960 , c ) 8290 , d ) 8640 , e ) none", + "Correct": "b", + "Explanation": "\"solution work done by the inlet in 1 hour = ( 1 / 9 - 1 / 12 ) = 1 / 36 work done by the inlet in 1 min . = ( 1 / 36 \u00d7 1 / 60 ) = 0.000463 volume of 0.000463 part = 6 litres . therefore , volume of whole = 1 / 0.000463 x 6 \u2039 = \u203a 12960 litres . answer b\"" + }, + { + "Answer": 24, + "Options": "a ) 72 sec , b ) 24 sec , c ) 44 sec , d ) 62 sec , e ) 21 sec", + "Correct": "b", + "Explanation": "\"speed of train relative to man = ( 60 + 6 ) km / hr = 66 km / hr [ 66 * 5 / 18 ] m / sec = [ 55 / 3 ] m / sec . time taken to pass the man = [ 440 * 3 / 55 ] sec = 8 sec answer : b\"" + }, + { + "Answer": 29.997600191984642, + "Options": "a ) 33 , b ) 87 , c ) 30 , d ) 88 , e ) 77", + "Correct": "c", + "Explanation": "\"explanation : distance = 500 m speed of the train relative to man = ( 63 - 3 ) km / hr = 60 km / hr = m / s = m / s time taken to pass the man = distance / speed = sec = 30 sec answer : c ) 30\"" + }, + { + "Answer": 18, + "Options": "a ) 12 days , b ) 15 days , c ) 18 days , d ) 21 days , e ) 22 days", + "Correct": "c", + "Explanation": "\"explanation : a and b can do work 1 / 6 in 1 day a alone can do 1 / 9 work in 1 day b alone can do ( 1 / 6 - 1 / 9 ) = 1 / 18 work in 1 day = > complete work can be done in 18 days by b answer : option c\"" + }, + { + "Answer": 24, + "Options": "a ) 24 , b ) 18 , c ) 17 , d ) 16 , e ) 10", + "Correct": "a", + "Explanation": "\"binders books days 20 1400 21 x 1600 20 x / 20 = ( 1600 / 1400 ) * ( 21 / 20 ) = > x = 24 answer : a\"" + }, + { + "Answer": 7.142857142857142, + "Options": "a ) 6.3 , b ) 6.9 , c ) 7.1 , d ) 6.1 , e ) 6.2", + "Correct": "c", + "Explanation": "\"1 day work of the three persons = ( 1 / 20 + 1 / 20 + 1 / 25 ) = 7 / 50 so , all three together will complete the work in 300 / 47 = 7.1 days . answer : c\"" + }, + { + "Answer": 270.03999999999996, + "Options": "a ) 230 m , b ) 240 m , c ) 250 m , d ) 260 m , e ) 270 m", + "Correct": "e", + "Explanation": "\"speed = ( 120 + 80 ) km / h ( because direction is opposite hence relative velocity is added ) = 500 / 9 m / s time = 9 sec let the lenght of second train is x total distance covered = 230 + x therefore , d = speed * time thus 230 + x = 500 / 9 * 9 x = 500 - 230 = 270 m answer : e\"" + }, + { + "Answer": 400.03200000000004, + "Options": "a ) 400 m , b ) 500 m , c ) 600 m , d ) 550 m , e ) 700 m", + "Correct": "a", + "Explanation": "speed of i train = 48 kmph length of i train = 2 x m speed of sec train = 42 kmph length of seconf train = x m dist = ( 2 x + x ) = 3 x m time = 12 sec = 90 * 5 / 18 = 25 m / s x = 100 length of first train = 2 x = 200 m time taken = 45 sec speed of first train = 48 kmph = 48 * 5 / 18 = 40 / 3 m / s length of the platform = y metre 200 + y = 45 * 45 / 3 = 600 y = 400 answer a" + }, + { + "Answer": 12, + "Options": "a ) 10 s , b ) 6 s , c ) 4 s , d ) 8 s , e ) 12 s", + "Correct": "e", + "Explanation": "\"detailed solution speed of a = 54 \u2217 1000 / 60 \u2217 60 = 15 m / s speed of b = 36 \u2217 1000 / 60 \u2217 60 = 10 m / s relative speed = s 1 + s 2 = 15 + 10 m / s = 25 m / s the length that needs to be crossed = length of train b = 150 m . therefore time taken = 150 / 25 = 6 s . what is the time taken for trains to completely cross each other ? the length that needs to be crossed = 150 + 150 = 300 m . time taken = 300 / 25 = 12 s . correct answer e .\"" + }, + { + "Answer": 25.002, + "Options": "a ) 281 m , b ) 25 m , c ) 50 m , d ) 125 m , e ) 75 m", + "Correct": "b", + "Explanation": "\"b b = 18 * 5 / 18 * 5 = 25 m\"" + }, + { + "Answer": 450, + "Options": "a ) 320 , b ) 250 , c ) 560 , d ) 400 , e ) 450", + "Correct": "e", + "Explanation": "distance = 150 * 3 = 450 km required speed = 450 / 1 = 450 km / hr answer is e" + }, + { + "Answer": 72, + "Options": "a ) 229 , b ) 108 , c ) 278 , d ) 72 , e ) 112", + "Correct": "d", + "Explanation": "\"s = 120 / 6 * 18 / 5 = 72 kmph answer : d\"" + }, + { + "Answer": 14, + "Options": "a ) 10 s , b ) 6 s , c ) 14 s , d ) 8 s , e ) 12 s", + "Correct": "c", + "Explanation": "\"detailed solution speed of a = 54 \u2217 1000 / 60 \u2217 60 = 15 m / s speed of b = 36 \u2217 1000 / 60 \u2217 60 = 10 m / s relative speed = s 1 + s 2 = 15 + 10 m / s = 25 m / s the length that needs to be crossed = length of train b = 150 m . therefore time taken = 150 / 25 = 6 s . what is the time taken for trains to completely cross each other ? the length that needs to be crossed = 200 + 150 = 350 m . time taken = 350 / 25 = 14 s . correct answer c .\"" + }, + { + "Answer": 240, + "Options": "a ) 220 km , b ) 240 km , c ) 230 km , d ) 232 km , e ) 234 km", + "Correct": "b", + "Explanation": "\"0.5 x / 10 + 0.5 x / 15 = 20 - - > x / 10 + x / 15 = 40 - - > 5 x = 30 x 40 - - > x = ( 30 x 40 ) / 5 = 240 km . answer : b .\"" + }, + { + "Answer": 5, + "Options": "a ) 2 . , b ) 4 . , c ) b = 5 . , d ) b = 6 . , e ) b = 8 .", + "Correct": "c", + "Explanation": "\"c . 5 hrs if there were 10 beavers it could have taken double b = 6 hrs . . so closest to that option is 5 . c\"" + }, + { + "Answer": 20, + "Options": "a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", + "Correct": "a", + "Explanation": "\"due to stoppages , it covers 100 km less . time taken to cover 100 km = 100 \u00e2 \u0081 \u201e 300 h = 1 \u00e2 \u0081 \u201e 3 h = 1 \u00e2 \u0081 \u201e 3 \u00e3 \u2014 60 min = 20 min answer a\"" + }, + { + "Answer": 6, + "Options": "a ) 6 , b ) 12 , c ) 18 , d ) 24 , e ) 48", + "Correct": "a", + "Explanation": "\"in : we have : 1,000 / 2 min = 500 litres per minute out : we have : 1,000 / 4 + 1,000 / 6 then do : in - out to figure out the net inflow per minute ( you get 83.3 ) . then divide the total number of litres you need ( 500 by that net inflow to get the minutes ) - 6 min . answer a .\"" + }, + { + "Answer": 50, + "Options": "a ) s . 50 , b ) s . 70 , c ) s . 90 , d ) s . 100 , e ) s . 120", + "Correct": "a", + "Explanation": "explanation : amount earned by p , q and r in 1 day = 1800 / 9 = 200 - - - ( 1 ) amount earned by p and r in 1 day = 600 / 5 = 120 - - - ( 2 ) amount earned by q and r in 1 day = 910 / 7 = 130 - - - ( 3 ) ( 2 ) + ( 3 ) - ( 1 ) = > amount earned by p , q and 2 r in 1 day - amount earned by p , q and r in 1 day = 120 + 130 - 200 = 50 = > amount earned by r in 1 day = 50 answer : option a" + }, + { + "Answer": 750, + "Options": "a ) 150 s , b ) 450 s , c ) 750 s , d ) 825 s , e ) 925 s", + "Correct": "c", + "Explanation": "when b is given a 40 m start then b runs 960 m in t secs and a runs 1000 m in t - 19 secs . when b is given a 30 second start then b runs 1000 m in t secs and a runs 960 m in t - 30 secs . assume that the speed of a ( va ) and b ( vb ) is constant in both situations . then vb = 960 \u00f7 t = 1000 \u00f7 t , and va = 1000 \u00f7 ( t - 19 ) = 960 \u00f7 ( t - 30 ) so 960 t = 1000 t , and 1000 t - 30000 = 960 t - 18240 . then 40 t = - 40 t + 11760 , t = - t + 294 . substituting for t in 960 t = 1000 t gives : - 960 t + 282240 = 1000 t 1960 t = 282240 t = 144 b ' s speed is 960 / t = 960 / 144 = 6.67 metres per second . assuming the same constant speed to run 5000 metres then the time taken is 5000 / 6.67 = 750 seconds answer : c" + }, + { + "Answer": 72, + "Options": "a ) 50 kmph , b ) 58 kmph , c ) 62 kmph , d ) 65 kmph , e ) 72 kmph", + "Correct": "e", + "Explanation": "\"relative speed = 280 / 9 m / sec = ( ( 280 / 9 ) * ( 18 / 5 ) ) kmph = 112 kmph . speed of goods train = ( 112 - 40 ) kmph = 72 kmph . answer : e\"" + }, + { + "Answer": 409.20000000000005, + "Options": "a ) rs . 209.20 , b ) rs . 309.20 , c ) rs . 409.20 , d ) rs . 509.20 , e ) none of these", + "Correct": "c", + "Explanation": "explanation : area to be plastered = [ 2 ( l + b ) \u00e3 \u2014 h ] + ( l \u00e3 \u2014 b ) = [ 2 ( 25 + 12 ) \u00e3 \u2014 6 ] + ( 25 \u00e3 \u2014 12 ) = 744 sq m cost of plastering = 744 \u00e3 \u2014 ( 55 / 100 ) = rs . 409.20 answer : c" + }, + { + "Answer": 42, + "Options": "a ) 40 m , b ) 42 m , c ) 47 m , d ) 49 m , e ) 50 m", + "Correct": "b", + "Explanation": "\"explanation : let the required length be x metres more men , more length built ( direct proportion ) less days , less length built ( direct proportion ) men 20 : 35 days 7 : 3 : : 56 : x therefore ( 20 x 7 x x ) = ( 35 x 3 x 56 ) x = ( 35 x 3 x 56 ) / 140 = 42 hence , the required length is 42 m . answer : b\"" + }, + { + "Answer": 6, + "Options": "a ) 7 min , b ) 6 min , c ) 9 min , d ) 10 min , e ) 11 min", + "Correct": "b", + "Explanation": "\"due to stoppages , it covers 5 km less . time taken to cover 5 km = ( 5 / 50 ) x 60 = 6 min answer : b\"" + }, + { + "Answer": 32, + "Options": "a ) 24 . , b ) 32 . , c ) 36 , d ) 42 . , e ) 44 .", + "Correct": "b", + "Explanation": "\"let the time taken be = x one way distance = 48 x total distance traveled = 2 * 48 x = 96 x total time taken = x + 2 x = 3 x average speed = 96 x / 3 x = 32 answer : b\"" + }, + { + "Answer": 186, + "Options": "a ) 186 , b ) 176 , c ) 175 , d ) 96 , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : let the length of train be l m . acc . to question ( 279 + l ) / 20 = l / 8 2232 + 8 l = 20 l l = 2232 / 12 = 186 m answer a\"" + }, + { + "Answer": 0.9555555555555555, + "Options": "a ) 14 / 15 , b ) 43 / 45 , c ) 4 / 5 , d ) 5 / 4 , e ) can not be determined", + "Correct": "b", + "Explanation": "\"average speed of jack = distance / time = 43 / ( 9 / 2 ) = 86 / 9 average speed of jill = 43 / ( 4.2 ) = 10 ratio of average speed of jack to jill = ( 86 / 9 ) / 10 = 86 / 90 = 43 / 45 answer b\"" + }, + { + "Answer": 24, + "Options": "a ) 14 , b ) 16 , c ) 21 , d ) 24 , e ) 27", + "Correct": "d", + "Explanation": "\"let the speed in highway be h mpg and in city be c mpg . h = c + 6 h miles are covered in 1 gallon 420 miles will be covered in 420 / h . similarly c miles are covered in 1 gallon 336 miles will be covered in 336 / c . both should be same ( as car ' s fuel capacity does not change with speed ) = > 336 / c = 420 / h = > 336 / c = 420 / ( c + 6 ) = > 336 c + 336 * 6 = 420 c = > c = 336 * 6 / 84 = 24 answer d .\"" + }, + { + "Answer": 32, + "Options": "a ) 32 , b ) 28 , c ) 36 , d ) 40 , e ) 50", + "Correct": "a", + "Explanation": "( 16 \u00e3 \u2014 10 \u00e3 \u2014 12 ) / ( 5 \u00e3 \u2014 4 \u00e3 \u2014 3 ) = 32 answer is a ." + }, + { + "Answer": 17.14285714285714, + "Options": "a ) 15.14 mins , b ) 16.14 mins , c ) 17.14 mins , d ) 18.14 mins , e ) 19.14 mins", + "Correct": "c", + "Explanation": "1 / 30 + 1 / 20 - 1 / 40 = 7 / 120 so total time = 120 / 7 = 17.14 mins answer : c" + }, + { + "Answer": 4.21875, + "Options": "a ) 55 / 7 , b ) 1 , c ) 135 / 32 , d ) 222 / 37 , e ) 252 / 58", + "Correct": "c", + "Explanation": "solution : let work done by man , women and girl per hour be m , w , g respectively . then , m + w = 1 / 5 - - > ( 1 ) , w + 2 g = 1 / 5 - - > ( 2 ) and m + g = 1 / 9 - - > ( 3 ) . no . of hours it would take forone woman , one man , and one girl , working together , to build the wall , n = 1 / m + w + g from ( 1 ) and ( 2 ) , m = 2 g and from ( 3 ) g = 1 / 27 , m = 2 / 27 and w = 17 / 135 . so , n = 1 / ( 32 / 135 ) = 135 / 32 option , c" + }, + { + "Answer": 5, + "Options": "a ) 3 , b ) 5 , c ) 8 , d ) 9 , e ) 10", + "Correct": "b", + "Explanation": "\"solution speed in still water = 1 / 2 ( 8 + 2 ) kmph . = 5 kmph . answer b\"" + }, + { + "Answer": 186, + "Options": "a ) rs . 186 , b ) rs . 258 , c ) rs . 486 , d ) rs . 586 , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : area to be plastered = [ 2 ( l + b ) \u00e3 \u2014 h ] + ( l \u00e3 \u2014 b ) = [ 2 ( 25 + 12 ) \u00e3 \u2014 6 ] + ( 25 \u00e3 \u2014 12 ) = 744 sq m cost of plastering = 744 \u00e3 \u2014 ( 25 / 100 ) = rs . 186 answer : a\"" + }, + { + "Answer": 48.289655172413795, + "Options": "a ) 48.29 , b ) 50 , c ) 26.8 , d ) 45.29 , e ) 30", + "Correct": "a", + "Explanation": "\"speed = 29 km / hr = 29 * ( 5 / 18 ) m / sec = 145 / 18 m / sec total distance = 288 + 101 = 389 meter time = distance / speed = 389 * ( 18 / 145 ) = 48.29 seconds . answer : a\"" + }, + { + "Answer": 50.5, + "Options": "['a ) 50.25 m', 'b ) 50.5 m', 'c ) 50.65 m', 'd ) 50.85', 'e ) none']", + "Correct": "b", + "Explanation": "solution side = \u221a 2550.25 = \u221a 255025 / 100 = 505 / 10 = 50.5 m . answer b" + }, + { + "Answer": 90, + "Options": "a ) 55 , b ) 20 , c ) 96 , d ) 90 , e ) 40", + "Correct": "d", + "Explanation": "answer = 3 * 30 = 90 answer = d" + }, + { + "Answer": 8, + "Options": "a ) 4 , b ) 5 , c ) 8 , d ) 10 , e ) 12", + "Correct": "c", + "Explanation": "\"8 workers can build 1 car per day on average . 1 worker can build 1 / 8 of a car per day . 5 workers can build 5 / 8 car per day . the time required to build 5 cars is 5 / ( 5 / 8 ) = 8 days the answer is c .\"" + }, + { + "Answer": 5.000000000000001, + "Options": "a ) 5 days , b ) 3 days , c ) 2 days , d ) 9 days , e ) 10 days", + "Correct": "a", + "Explanation": "answer : option a 2 m + 3 w - - - - - 35 h 4 m + 4 w - - - - - - - 21 h 7 m - - - - - - - ? d 70 m + 105 w = 84 m + 84 m 21 w = 14 m = > 2 m = 3 w 4 * 35 = 7 * x = > x = 20 hours 20 / 4 = 5 days" + }, + { + "Answer": 220.01760000000002, + "Options": "a ) 190 metres , b ) 160 metres , c ) 200 metres , d ) 220 metres , e ) 250 metres", + "Correct": "d", + "Explanation": "\"speed of the train , v = 40 km / hr = 40000 / 3600 m / s = 400 / 36 m / s time taken to cross , t = 19.8 s distance covered , d = vt = ( 400 / 36 ) \u00e3 \u2014 19.8 = 220 m distance covered is equal to the length of the train = 220 m correct answer is 220 metres d\"" + }, + { + "Answer": 72, + "Options": "a ) 30 days , b ) 45 days , c ) 80 days , d ) 72 1 / 2 days , e ) 72 days", + "Correct": "e", + "Explanation": "1 / 45 + 1 / 30 = 5 / 90 = 1 / 18 18 / 1 = 18 * 4 = 72 days answer : e" + }, + { + "Answer": 28.8, + "Options": "a ) 28.8 , b ) 72.9 , c ) 38.3 , d ) 78.3 , e ) 79.3", + "Correct": "a", + "Explanation": "\"explanation : let the initial quantity of milk in vessel be t litres . let us say y litres of the mixture is taken out and replaced by water for n times , alternatively . quantity of milk finally in the vessel is then given by [ ( t - y ) / t ] ^ n * t for the given problem , t = 45 , y = 9 and n = 2 . hence , quantity of milk finally in the vessel = [ ( 45 - 9 ) / 45 ] ^ 2 ( 45 ) = 28.8 litres . answer : option a\"" + }, + { + "Answer": 1.5428571428571427, + "Options": "a ) 3.5 kmph . , b ) 2.5 kmph . , c ) 1.2 kmph . , d ) 1.54 kmph . , e ) 1.9 kmph .", + "Correct": "d", + "Explanation": "\"18 / 42 m / s = 18 / 42 * 18 / 5 = 1 ( 27 / 50 ) = 1.54 kmph . answer : d\"" + }, + { + "Answer": 0.08888888888888888, + "Options": "a ) 1 / 9 , b ) 4 / 45 , c ) 2 / 7 , d ) 6 / 3 , e ) 5 / 2", + "Correct": "b", + "Explanation": "explanation : 1 / 18 + 1 / 30 = 8 / 90 = 4 / 45 so , both together will finish the work in 4 / 45 days . answer : b" + }, + { + "Answer": 1.2068965517241381, + "Options": "a ) 1 / 5 , b ) 29 / 35 , c ) 5 / 6 , d ) 35 / 29 , e ) 35 / 12", + "Correct": "d", + "Explanation": "now d should be the answer . t need 5 hours to complete and b needs 7 hours to compete so 2 t + 3 b will complete 2 / 5 + 3 / 7 or 29 / 35 portion of the job in 1 hour so the whole job will take 35 / 29 hours . . . . = d" + }, + { + "Answer": 0.2, + "Options": "a ) 1 / 4 , b ) 3 / 4 , c ) 1 / 5 , d ) 2 / 2 , e ) 3 / 1", + "Correct": "c", + "Explanation": "c 1 / 5" + }, + { + "Answer": 50, + "Options": "a ) 53 km , b ) 55 km , c ) 52 km , d ) 60 km , e ) 50 km", + "Correct": "e", + "Explanation": "\"t = 2.5 hrs = 5 / 2 hrs d = t * s = 20 * 5 / 2 = 50 km answer is e\"" + }, + { + "Answer": 15, + "Options": "a ) 15 , b ) 6 , c ) 13 , d ) 9 , e ) none of these", + "Correct": "a", + "Explanation": "let the number of men originally employed be x . 9 x = 15 ( x \u2013 6 ) or x = 15 answer a" + }, + { + "Answer": 600.0479999999999, + "Options": "a ) 400 m , b ) 450 m , c ) 560 m , d ) 600 m , e ) 680 m", + "Correct": "d", + "Explanation": "length of the ist train = 2 x m and the length of the other train be x m ( 1 / 2 ) the relative speed of the train ( 48 + 42 ) = 90 kmph or 25 m / s time taken to cross one another = 12 s hence , 12 = 2 x + x / 25 solving , x = 100 m and 200 m now to determine the length of the platform 45 = 100 + length of the platform / speed of the ist train 45 = 100 + l / 240 / 18 ( 48 kmph = 240 / 118 m / s ) solving , we get l = 600 m answer : d" + }, + { + "Answer": 1332, + "Options": "a ) s . 1014 , b ) s . 1332 , c ) s . 999 , d ) s . 1085 , e ) s . 1020", + "Correct": "b", + "Explanation": "\"a 2 = 3136 = > a = 56 56 * 4 * 3 = 672 \u2013 6 = 666 * 2.0 = 1332 answer : b\"" + }, + { + "Answer": 6.461538461538462, + "Options": "a ) 2 miles , b ) 4 miles , c ) 6.5 miles , d ) 8 miles , e ) 10 miles", + "Correct": "c", + "Explanation": "\"answer : c ) 6.5 miles . average speed for round trip = 2 * a * b / ( a + b ) , where a , b are speeds so , average speed was = 2 * 5 * 21 / ( 5 + 21 ) = 6.5 m / hr the distance between schoolhome should be half of that . ie . 6.5 miles answer c\"" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "a", + "Explanation": "\"m = 8 s = 4 us = 8 - 4 = 4 d = 4 t = 8 / 4 = 2 answer : a\"" + }, + { + "Answer": 4.999999999999999, + "Options": "a ) 3.5 , b ) 4 , c ) 4.5 , d ) 5 , e ) 5.5", + "Correct": "d", + "Explanation": "\"let x be the total time it takes for the cistern to fill . 4 / 10 + x / 15 = 1 x / 15 = 3 / 5 x = 9 after the first pipe is turned off , it takes 5 more minutes to fill the cistern . the answer is d .\"" + }, + { + "Answer": 72, + "Options": "a ) 23 , b ) 88 , c ) 90 , d ) 72 , e ) 21", + "Correct": "d", + "Explanation": "20 * 18 / 5 = 72 kmph answer : d" + }, + { + "Answer": 29.999999999999993, + "Options": "a ) 30 , b ) 15 , c ) 20 , d ) 25 , e ) 50", + "Correct": "a", + "Explanation": "suppose the tank is filled in x minutes . then , x / 2 ( 1 / 24 + 1 / 40 ) = 1 x / 2 * 1 / 15 = 1 = > x = 30 min answer a" + }, + { + "Answer": 23, + "Options": "a ) 23 m 2 , b ) 20 m 2 , c ) 52 m 2 , d ) 24 m 2 , e ) 55 m 2", + "Correct": "a", + "Explanation": "\"area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 2 x 1.25 + 4 x 1.25 ) + 4 x 2 ] m 2 = 23 m 2 . answer : a\"" + }, + { + "Answer": 301.5, + "Options": "a ) 300 , b ) 301 , c ) 301.5 , d ) 302.5 , e ) 306", + "Correct": "c", + "Explanation": "since 100 / 9 = 11.11 , 500 / 9 = 55.55 , m can be written as { 9 * 12 , 9 * 13 , . . . . , 9 * 54 , 9 * 55 } . the number of elements of m is , therefore , 44 ( = 55 - 12 + 1 ) . since the number of elements is even number the median is the average of the 22 nd element ( = 9 * 33 ) and 23 rd element ( = 9 * 34 ) . so the median is ( 9 * 33 + 9 * 34 ) / 2 = 301.5 . the answer is c ." + }, + { + "Answer": 400, + "Options": "a ) 99 , b ) 289 , c ) 350 , d ) 882 , e ) 400", + "Correct": "e", + "Explanation": "\"speed = [ 300 / 18 ] m / sec = 50 / 3 m / sec . let the length of the platform be x meters . then , x + 300 / 42 = 50 / 3 3 ( x + 300 ) = 2100 \u00e8 x = 400 m . answer : e\"" + }, + { + "Answer": 20, + "Options": "a ) 10 , b ) 15 , c ) 20 , d ) 24 , e ) 27", + "Correct": "c", + "Explanation": "let john under takes a tour of x days . then , expenses for each day = 360 x 360 x + 4 = 360 x \u2212 3 x = 20 and \u2212 24 hence , x = 20 days . c" + }, + { + "Answer": 60.994720422366214, + "Options": "a ) 45 kmph , b ) 50 kmph , c ) 55 kmph , d ) 61 kmph , e ) 70 kmph", + "Correct": "d", + "Explanation": "explanation : let the speed of the train be x kmph . speed of the train relative to man = ( x + 5 ) kmph = ( x + 5 ) \u00d7 5 / 18 m / sec . therefore 110 / ( ( x + 5 ) \u00d7 5 / 18 ) = 6 < = > 30 ( x + 5 ) = 1980 < = > x = 61 speed of the train is 61 kmph . answer : option d" + }, + { + "Answer": 216, + "Options": "a ) 63 , b ) 72 , c ) 144 , d ) 216 , e ) 400", + "Correct": "d", + "Explanation": "\"20 typists can type 48 letters , so 30 typists can type = 48 * 30 / 20 48 * 30 / 20 letters can be typed in 20 mins . in 60 mins typist can type = 48 * 30 * 60 / 20 * 20 = 216 d is the answer\"" + }, + { + "Answer": 48, + "Options": "a ) 48 , b ) 50 , c ) 52 , d ) 54 , e ) 56", + "Correct": "a", + "Explanation": "\"60 * t = 1 km = > t = 1 / 60 km / h v * ( t + 15 / 3600 ) = 1 v ( 1 / 60 + 15 / 3600 ) = 1 v ( 75 / 3600 ) = 1 v = 48 km / h the answer is a .\"" + }, + { + "Answer": 190.0224, + "Options": "a ) 190 , b ) 200 , c ) 180 , d ) 881 , e ) 271", + "Correct": "a", + "Explanation": "\"d = 56 * 5 / 18 = 25 = 280 \u2013 90 = 190 answer : a\"" + }, + { + "Answer": 35, + "Options": "a ) 26 days , b ) 27 days , c ) 23 days , d ) 35 days , e ) 24 days", + "Correct": "d", + "Explanation": "together they complete the job in 20 days means they complete 12 / 20 of the job after 12 days . peter completes the remaining ( 8 / 20 ) of the job in 14 days which means that the whole job ( 1 ) can be completed in x days . < = > 8 / 20 - > 14 < = > x = 14 / ( 8 / 20 ) = 35 thus the answer is d ." + }, + { + "Answer": 2, + "Options": "a ) . 5 hours , b ) 1 hour , c ) 1.5 hours , d ) 2 hours , e ) 2.5 hours", + "Correct": "d", + "Explanation": "distance between scottsdale and sherbourne = 200 km time for a one - way trip between scottsdale and sherbourne : 5 / 2 = 2.5 hours distance between forest grove and scottsdale : 200 / 5 = 40 km distance between forest grove and sherbourne : 40 x 4 = 160 km time between scottsdale and forest grove : 2.5 / 5 = . 5 hours time between forest grove and sherborne : . 5 x 4 = 2 hours ." + }, + { + "Answer": 28.8, + "Options": "a ) 28.8 , b ) 30 , c ) 32 , d ) 34 , e ) 36", + "Correct": "a", + "Explanation": "\"man - hours required to asphalt 1 km road = 30 * 12 * 8 = 2880 man - hours required to asphalt 2 km road = 2880 * 2 = 5760 man - hours available per day = 20 * 10 = 200 therefore number of days = 5760 / 200 = 28.8 days ans = a\"" + }, + { + "Answer": 86.39308855291577, + "Options": "a ) 12.2 sec , b ) 24.9 sec , c ) 86.4 sec , d ) 60.2 sec , e ) none", + "Correct": "c", + "Explanation": "\"sol . relative speed = ( 45 + 30 ) km / hr = ( 75 x 5 / 18 ) m / sec = ( 125 / 6 ) m / sec . distance covered = ( 900 + 900 ) m = 1000 m . required time = ( 1800 x 6 / 125 ) sec = 86.4 sec . answer c\"" + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 16", + "Correct": "b", + "Explanation": "\"let the current speed be x miles per hour . time taken if speed is 50 % faster ( i . e . 3 x / 2 = 1.5 x ) = 96 / 1.5 x time taken if speed is reduced by 4 miles / hr ( i . e . ( x - 4 ) ) = 96 / ( x - 4 ) as per question , 96 / ( x - 4 ) - 96 / 1.5 x = 16 solving this w we get x = 8 . b .\"" + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 16", + "Correct": "b", + "Explanation": "\"let the current speed be x miles per hour . time taken if speed is 50 % faster ( i . e . 3 x / 2 = 1.5 x ) = 96 / 1.5 x time taken if speed is reduced by 4 miles / hr ( i . e . ( x - 4 ) ) = 96 / ( x - 4 ) as per question , 96 / ( x - 4 ) - 96 / 1.5 x = 16 solving this x we get x = 8 . b .\"" + }, + { + "Answer": 44.87179487179487, + "Options": "a ) 45.9 % , b ) 43.9 % , c ) 42.9 % , d ) 41.9 % , e ) 44.9 %", + "Correct": "e", + "Explanation": "\"70 / 156 * 100 = 44.87 44.9 % correct answer e\"" + }, + { + "Answer": 56, + "Options": "['a ) 56 m', 'b ) 60 m', 'c ) 80 m', 'd ) 82 m', 'e ) 84 m']", + "Correct": "a", + "Explanation": "let breadth = x metres . then , length = ( x + 12 ) metres . perimeter = 5300 m = 200 m . 26.50 2 [ ( x + 12 ) + x ] = 200 2 x + 12 = 100 2 x = 88 x = 44 hence , length = x + 12 = 56 m a" + }, + { + "Answer": 235.02999999999997, + "Options": "a ) 205 , b ) 220 , c ) 235 , d ) 250 , e ) 265", + "Correct": "c", + "Explanation": "\"speed = 45 km / h = 45000 m / 3600 s = 25 / 2 m / s in 30 seconds , the train can travel 25 / 2 * 30 = 375 meters 375 = length of train + length of bridge length of bridge = 375 - 140 = 235 meters the answer is c .\"" + }, + { + "Answer": 190, + "Options": "a ) 190 , b ) 88 , c ) 77 , d ) 62 , e ) 52", + "Correct": "a", + "Explanation": "length of the train be \u00e2 \u20ac \u02dc x \u00e2 \u20ac \u2122 x + 140 / 15 = x + 250 / 20 4 x + 560 = 3 x + 750 x = 190 m answer : a" + }, + { + "Answer": 18, + "Options": "a ) 18 , b ) 16 , c ) 14 , d ) 13 , e ) 15", + "Correct": "a", + "Explanation": "hcf x lcm = product of numbers 2 x 36 = 4 x the other number other number = ( 2 x 36 ) / 4 other number = 18 answer : a" + }, + { + "Answer": 3, + "Options": "a ) 6 hours , b ) 3 hours , c ) 2 hours , d ) 5 hours , e ) 4 hours", + "Correct": "b", + "Explanation": "\"a ' s 1 hour work = 1 / 3 ; ( b + c ) ' s 1 hour work = 1 / 2 ; ( a + c ) ' s 1 hour work = 1 / 2 ( a + b + c ) ' s 1 hour work = ( 1 / 3 + 1 / 2 ) = 5 / 6 b ' s 1 hour work = ( 5 / 6 - 1 / 2 ) = 1 / 3 b alone will take 3 hours to do the work . answer : b\"" + }, + { + "Answer": 28, + "Options": "a ) 13 seconds , b ) 17 seconds , c ) 26 seconds , d ) 34 seconds , e ) 28 seconds", + "Correct": "e", + "Explanation": "let t be the time that john spent for his final push . thus , per the question , 4.2 t = 3.7 t + 12 + 2 - - - > 0.5 t = 14 - - - > t = 28 seconds . e is the correct answer ." + }, + { + "Answer": 26000, + "Options": "a ) 29798 , b ) 27908 , c ) 78902 , d ) 26000 , e ) 27991", + "Correct": "d", + "Explanation": "\"26 * 2 * 0.75 = 20 / 100 * 10 / 100 * 7.5 / 100 * x 26 = 1 / 1000 * x = > x = 26000 answer : d\"" + }, + { + "Answer": 0.975, + "Options": "a ) 1.5 kmph . , b ) 0.91 kmph . , c ) 1.2 kmph . , d ) 1.5 kmph . , e ) 0.98 kmph .", + "Correct": "e", + "Explanation": "\"13 / 48 m / s = 13 / 48 * 18 / 5 = 49 / 50 = 0.98 kmph . answer : e\"" + }, + { + "Answer": 55, + "Options": "a ) 47 , b ) 55 , c ) 28 , d ) 66 , e ) 11", + "Correct": "b", + "Explanation": "\"explanation : for ticking 6 times , there are 5 intervals . each interval has time duration of 25 / 5 = 5 secs at 12 o ' clock , there are 11 intervals , so total time for 11 intervals = 11 \u00d7 5 = 55 secs . answer : b\"" + }, + { + "Answer": 36, + "Options": "a ) 36 , b ) 26 , c ) 97 , d ) 26 , e ) 19", + "Correct": "a", + "Explanation": "\"explanation : let the required number of days be a . then , less men , more days ( indirect proportion ) 17 : 34 : : 18 : a 17 x a = 34 x 18 a = ( 34 x 18 ) / 17 a = 36 answer : a\"" + }, + { + "Answer": 130, + "Options": "a ) 130 , b ) 272 , c ) 278 , d ) 277 , e ) 112", + "Correct": "a", + "Explanation": "\"speed = 52 * ( 5 / 18 ) m / sec = 130 / 9 m / sec length of train ( distance ) = speed * time ( 130 / 9 ) * 9 = 130 meter answer : a\"" + }, + { + "Answer": 160, + "Options": "a ) 40 , b ) 80 , c ) 120 , d ) 160 , e ) 180", + "Correct": "d", + "Explanation": "bexy walks 5 miles from point a to point b in one hour , then bicycles back to point a along the same route at 15 miles per hour . ben makes the same round trip , but does so at half of bexy \u2019 s average speed . how many minutes does ben spend on his round trip ? average speed = total distance / total time we know the total distance is 5 + 5 ( going from a to b then from b to a ) time = distance / speed time = 5 / 15 time = 1 / 3 hour average speed = ( 10 ) / ( 1 hr + 1 / 3 hr ) average speed ( bexi ) = 10 / 1.33 therefore , if ben ' s average speed is 1 / 2 of bexi ' s then his speed = 10 / 2.66 . this means it took him 2.66 hours to cover the same 10 miles bexi did . 2.66 hours = roughly 160 minutes . answer : d ) . 160" + }, + { + "Answer": 3, + "Options": "a ) 2 , b ) 2.5 , c ) 3 , d ) 3.25 , e ) 3.5", + "Correct": "c", + "Explanation": "\"let the distance to the top be x , so the total distance traveled by natasha is 2 x . the total time is 4 + 2 = 6 hours the average speed = total distance / total time taken = 2 x / 6 = x / 3 the average speed of the complete journey is 4 km / hour x / 3 = 4 x = 12 km the average speed while climbing = distance / time = 12 / 4 = 3 km / h the answer is c .\"" + }, + { + "Answer": 5.555555555555555, + "Options": "a ) 4.7 kmph , b ) 5.6 kmph , c ) 4 kmph , d ) 7 kmph , e ) 5.3 kmph", + "Correct": "b", + "Explanation": "\"distance covered by a in 30 min = 1 km b covers extra 1 km in 1 hour 48 minutes ( 9 / 5 hr ) i . e . relative speed of b over a = 1 / ( 9 / 5 ) = 5 / 9 so the speed of b = speed of a + 5 / 9 = 5 + 5 / 9 = 5.55 answer b\"" + }, + { + "Answer": 265, + "Options": "a ) 377 , b ) 367 , c ) 237 , d ) 245 , e ) 265", + "Correct": "e", + "Explanation": "\"speed = 45 * 5 / 18 = 25 / 2 m / sec . time = 30 sec let the length of bridge be x meters . then , ( 110 + x ) / 30 = 25 / 2 x = 265 m . answer : e\"" + }, + { + "Answer": 33.03002729754322, + "Options": "a ) 22 , b ) 33 , c ) 17 , d ) 12 , e ) 88", + "Correct": "b", + "Explanation": "\"2 * 22 / 7 * 14 * x = 2904 = > x = 33 answer : b\"" + }, + { + "Answer": 10, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", + "Correct": "b", + "Explanation": "\"let total time taken by d to complete the job = d total time taken by a to complete the job = 10 work done by a in an hour 1 / a = 1 / 10 working together a and d can complete the job in 5 hours 1 / a + 1 / d = 1 / 5 = > 1 / d = 1 / 5 - 1 / a = 1 / 5 - 1 / 10 = 1 / 10 = > d = 10 hours answer b\"" + }, + { + "Answer": 15, + "Options": "a ) 5 , b ) 20 , c ) 30 , d ) 25 , e ) 15", + "Correct": "e", + "Explanation": "us = 10 ds = 20 m = ( 10 + 20 ) / 2 = 15 answer : e" + }, + { + "Answer": 40, + "Options": "a ) 25 kmph , b ) 40 kmph , c ) 35 kmph , d ) 46 kmph , e ) 50 kmph", + "Correct": "b", + "Explanation": "\"let the time taken to reach the destination be 3 x hours . total distance = 80 * 3 x = 240 x km he covered 2 / 3 * 240 x = 160 x km in 1 / 3 * 3 x = x hours so , the remaining 80 x km , he has to cover in 2 x hours . required speed = 80 x / 2 x = 40 kmph . answer : b\"" + }, + { + "Answer": 9.6, + "Options": "a ) 10 min , b ) 7 min , c ) 8.2 min , d ) 9.6 min , e ) 40 min", + "Correct": "d", + "Explanation": "\"d 9.6 min due to stoppages , it covers 8 km less . time taken to cover 9 km = ( 8 / 50 x 60 ) min = 9.6 min\"" + }, + { + "Answer": 40, + "Options": "a ) 30 min , b ) 35 min , c ) 45 min , d ) 40 min , e ) 55 min", + "Correct": "d", + "Explanation": "\"there are 8 hours in between 9 a . m . to 5 p . m . 8 * 5 = 40 minutes . answer : d\"" + }, + { + "Answer": 45, + "Options": "a ) 24 , b ) 27 , c ) 33 , d ) 45 , e ) 54", + "Correct": "d", + "Explanation": "\"whatever : my take selecting team of 2 out of 10 to assign to the shifts = 6 c 2 = 15 ways . now 2 out of 10 means total of 3 group possible . so putting them in shifts = counting methode : first , second , third , alt , alt = 3 * 2 * 1 = 6 here alt and alt are the same : so 6 / 2 = 3 ways . total ways of selecting = ( selecting 2 out of 6 ) * arranging those teams in shifts = 15 * 3 = 45 ans : d\"" + }, + { + "Answer": 40, + "Options": "a ) 20 sec , b ) 15 sec , c ) 30 sec , d ) 50 sec , e ) 40 min", + "Correct": "e", + "Explanation": "\"they meet every 600 / 7 + 8 = 40 sec answer is e\"" + }, + { + "Answer": 105, + "Options": "a ) 102 , b ) 103 , c ) 104 , d ) 105 , e ) 106", + "Correct": "d", + "Explanation": "\"let the capacity of 1 bucket = x . then , the capacity of tank = 42 x . new capacity of bucket = 2 / 5 x therefore , required number of buckets = ( 42 x ) / ( 2 x / 5 ) = ( 42 x ) x 5 / 2 x = 210 / 2 = 105 answer is d .\"" + }, + { + "Answer": 40, + "Options": "a ) 20 m east , b ) 40 m north , c ) 30 m west , d ) 40 m east , e ) 20 m west", + "Correct": "d", + "Explanation": "\"the net distance is 20 + 20 = 40 meters to the east . the answer is d .\"" + }, + { + "Answer": 2000000, + "Options": "a ) 9800000 , b ) 1000000 , c ) 7500000 , d ) 2000000 , e ) none of these", + "Correct": "d", + "Explanation": "explanation : number = ( 800 * 700 * 600 ) / 8 * 7 * 6 = 2000000 answer : d" + }, + { + "Answer": 0.5, + "Options": "a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 4", + "Correct": "c", + "Explanation": "\"3 revolutions per minute = 1 revolution every 20 seconds so no matter what anybody appearing at the tower can not stay in the dark for more than 20 seconds . this will be our total number of possibilities i . e the denominator . p ( man in dark for at least 5 seconds ) = 1 - p ( man in dark for max of 10 seconds ) = 1 - 10 / 20 = 1 - 1 / 2 = 1 / 2 or the other way would be : p ( man in dark for at least 5 seconds ) is like saying he can be in dark for 5 , 6,7 . . . all the way to 20 seconds because that is the max . in this approach it would be 10 / 20 seconds = 1 / 2 . answer is c\"" + }, + { + "Answer": 56.44102863722254, + "Options": "a ) 40 , b ) 56 , c ) 60 , d ) 70 , e ) 80", + "Correct": "b", + "Explanation": "let speed of car r be = x then speed of car p = x + 10 a / q , ( 750 / x ) - ( 750 / ( x + 10 ) ) = 2 solving for x = 56 miles \\ hr . b" + }, + { + "Answer": 91, + "Options": "a ) rs . 55.50 , b ) rs . 67.50 , c ) rs . 86.50 , d ) rs . 91.00 , e ) none of these", + "Correct": "d", + "Explanation": "\"solution let length = ( 3 x ) metres and breadth = ( 4 x ) metres . then , 3 x \u00d7 4 x = 7600 \u21d4 12 x 2 = 8112 \u21d4 x 2 = 676 \u21d4 x = 26 so , length = 78 m and breadth = 104 m . perimeter = [ 2 ( 78 + 104 ) ] m = 364 m . \u2234 cost of fencing = rs . ( 0.25 \u00d7 364 ) = rs . 91 . answer d\"" + }, + { + "Answer": 15, + "Options": "a ) 18 days , b ) 27 days , c ) 26.67 days , d ) 15 days , e ) 12 days", + "Correct": "d", + "Explanation": "\"let x = the number of days taken to complete the project . the amount of work done by a is ( x - 10 ) * ( 1 / 20 ) . the amount of work done by b is ( x ) * ( 1 / 30 ) . ( 1 / 20 ) * ( x - 5 ) + ( 1 / 30 ) * ( x ) = 1 ( x / 20 ) + ( x / 30 ) - ( 5 / 20 ) = 1 5 x / 60 = 5 / 4 x = 60 / 4 x = 15 therefore , the answer is d : 15 .\"" + }, + { + "Answer": 225, + "Options": "a ) 287 , b ) 369 , c ) 225 , d ) 279 , e ) 361", + "Correct": "c", + "Explanation": "\"3 x * 2 x = 3750 = > x = 25 2 ( 75 + 50 ) = 250 m 250 * 0.9 = rs . 225 answer : c\"" + }, + { + "Answer": 50, + "Options": "a ) 20 m , b ) 50 m , c ) 45 m , d ) 60 m , e ) none of these", + "Correct": "b", + "Explanation": "\"solution distance covered by b in 15 sec . = ( 200 / 60 x 15 ) m = 50 m . \u2234 a beats b by 50 metres . answer b\"" + }, + { + "Answer": 2.25, + "Options": "a ) 1.5 , b ) 2.25 , c ) 2.75 , d ) 2.5 , e ) 3.5", + "Correct": "b", + "Explanation": "\"relative speed of car a is 58 - 50 = 8 miles per hour , to catch up 10 miles and drive 8 miles ahead so to drive 18 miles it ' ll need 18 / 8 = 2.25 hours . answer : b\"" + }, + { + "Answer": 160, + "Options": "a ) 20 m , b ) 125 m , c ) 120 m , d ) 160 m , e ) none of these", + "Correct": "d", + "Explanation": "\"solution distance covered by b in 40 sec . = ( 400 / 100 x 40 ) m = 160 m . \u2234 a beats b by 160 metres . answer d\"" + }, + { + "Answer": 242.42424242424244, + "Options": "a ) 5600 , b ) 6000 , c ) 242 , d ) 7200 , e ) 8600", + "Correct": "c", + "Explanation": "\"number of bricks = volume of the wall / volume of 1 brick = ( 800 x 100 x 5 ) / ( 25 x 11 x 6 ) = 242 . answer : option c\"" + }, + { + "Answer": 0.6666666666666666, + "Options": "a ) 1 / 6 , b ) 2 / 6 , c ) 3 / 6 , d ) 4 / 6 , e ) 5 / 6", + "Correct": "d", + "Explanation": "\"no of cups leaked during the trip = 2 cups . no of cups harry drank = 6 cups . no of cups harry drank during the first 6 miles = 4 . drink / mile = 4 / 6 answer d\"" + }, + { + "Answer": 932.3999999999999, + "Options": "a ) 399 , b ) 272 , c ) 932.4 , d ) 277 , e ) 311", + "Correct": "c", + "Explanation": "\"answer : option c explanation : a 2 = 3136 = > a = 56 56 * 4 * 3 = 672 \u00e2 \u20ac \u201c 6 = 666 * 1.4 = 932.4 answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 45 days . , b ) 40 days . , c ) 38 days . , d ) 35 days . , e ) 30 days .", + "Correct": "b", + "Explanation": "one day work = 1 / 20 one man \u2019 s one day work = 1 / ( 20 * 100 ) now : no . of workers = 50 one day work = 50 * 1 / ( 20 * 100 ) the total no . of days required to complete the work = ( 100 * 20 ) / 50 = 40 answer : b" + }, + { + "Answer": 20, + "Options": "a ) 36 , b ) 20 , c ) 28 , d ) 54 , e ) 45", + "Correct": "b", + "Explanation": "\"a \u2019 s one day \u2019 s work = 1 / x b \u2019 s one day \u2019 s work = 1 / 3 x a + b \u2019 s one day \u2019 s work = 1 / x + 1 / 3 x = 1 / 15 = 3 + 1 / 3 x = 4 / 3 x = 1 / 15 x = 15 * 4 / 3 = 20 answer : b\"" + }, + { + "Answer": 60, + "Options": "a ) 30 , b ) 60 , c ) 40 , d ) 20 , e ) 50", + "Correct": "b", + "Explanation": "amount of work done by a and b in 1 day = 1 / 30 amount of work done by a and b in 20 days = 20 \u00d7 ( 1 / 30 ) = 20 / 30 = 2 / 3 remaining work \u2013 1 \u2013 2 / 3 = 1 / 3 a completes 1 / 3 work in 20 days amount of work a can do in 1 day = ( 1 / 3 ) / 20 = 1 / 60 = > a can complete the work in 60 days answer is b ." + }, + { + "Answer": 38, + "Options": "a ) 36 , b ) 2 ^ 4 * 3 , c ) 24 , d ) 38 , e ) 47", + "Correct": "d", + "Explanation": "\"working backward from the day it ' s covered : day 39 : fully covered day 38 : half covered so 38 days answer : d\"" + }, + { + "Answer": 35.997120230381576, + "Options": "a ) 10.6 , b ) 10.9 , c ) 36 , d ) 10.8 , e ) 10.1", + "Correct": "c", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 200 + 800 = 1000 m . required time = 1000 * 9 / 250 = 36 sec . answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 1 , b ) 1 / 40 , c ) 40 , d ) 80 , e ) 1 / 80", + "Correct": "c", + "Explanation": "\"assume that in x days , one cow will eat one bag of husk . more cows , less days ( indirect proportion ) more bags , more days ( direct proportion ) hence we can write as cowsbags 40 : 11 : 40 \u23ab \u23ad \u23ac : : x : 40 \u21d2 40 \u00d7 1 \u00d7 40 = 1 \u00d7 40 \u00d7 x \u21d2 x = 40 answer : c\"" + }, + { + "Answer": 15, + "Options": "a ) 4 , b ) 6 , c ) 8 , d ) 12 , e ) 15", + "Correct": "e", + "Explanation": "\"on the way down , the rate is 1.5 * 5 = 7.5 miles per day . the distance of the route down the mountain is 2 * 7.5 = 15 miles . the answer is e .\"" + }, + { + "Answer": 80, + "Options": "a ) 80 litres , b ) 90 litres , c ) 120 litres , d ) 170 litres , e ) none of these", + "Correct": "a", + "Explanation": "\"explanatory answer to cover a distance of 800 kms using a 800 cc engine , the amount of diesel required = 800 / 600 * 40 = 53.33 litres . however , the vehicle uses a 1200 cc engine and the question states that the amount of diesel required varies directly as the engine capacity . i . e . , for instance , if the capacity of engine doubles , the diesel requirement will double too . therefore , with a 1200 cc engine , quantity of diesel required = 1200 / 800 * 53.33 = 80 litres . answer a\"" + }, + { + "Answer": 15, + "Options": "a ) 7 sec , b ) 5 sec , c ) 15 sec , d ) 6 sec , e ) 12 sec", + "Correct": "c", + "Explanation": "\"speed of train relative to man = ( 60 + 6 ) km / hr = 66 km / hr [ 66 * 5 / 18 ] m / sec = [ 55 / 3 ] m / sec . time taken to pass the man = [ 275 * 3 / 55 ] sec = 15 sec answer : c\"" + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 11 , c ) 10 , d ) 9 , e ) 8", + "Correct": "a", + "Explanation": "\"let ' s say 1 work is processing 36 gb of data . model m : 1 gb per min model n : 2 gb per min working together , 1 m and 1 n = 3 gb per min so , 12 times as many computers would work at 36 gb per min . so no . of m = 12 answer is a\"" + }, + { + "Answer": 1, + "Options": "a ) 1 day , b ) 2 days , c ) 3 days , d ) 4 days , e ) 5 days", + "Correct": "a", + "Explanation": "\"the length of cloth painted by one man in one day = 48 / 4 \u00d7 2 = 6 m no . of days required to paint 36 m cloth by 6 men = 36 / 6 \u00d7 6 = 1 day . option ' a '\"" + }, + { + "Answer": 10, + "Options": "a ) 2 , b ) 4 , c ) 10 , d ) 12 , e ) 15", + "Correct": "c", + "Explanation": "\"sol . speed in still water = 1 / 2 ( 15 + 5 ) kmph = 10 kmph . answer c\"" + }, + { + "Answer": 10, + "Options": "a ) 10 , b ) 9 , c ) 5 , d ) 15 , e ) 20", + "Correct": "a", + "Explanation": "\"explanation : let , 1 spider make 1 web in x days . more spiders , less days ( indirect proportion ) more webs , more days ( direct proportion ) hence we can write as ( spiders ) 10 : 1 ( webs ) 1 : 5 } : : x : 5 \u00e2 \u2021 \u2019 10 \u00e3 \u2014 1 \u00e3 \u2014 5 = 1 \u00e3 \u2014 5 \u00e3 \u2014 x \u00e2 \u2021 \u2019 x = 10 answer : option a\"" + }, + { + "Answer": 48, + "Options": "a ) 5 , b ) 48 , c ) 12 , d ) 15 , e ) 20", + "Correct": "b", + "Explanation": "maria ' s rate - 10 laps per hour - - > 10 / 60 laps / min nick ' s rate - 5 laps per hour - - > 5 / 60 laps / min lets set equations : 10 / 60 * t = 4 ( since maria had to run 4 laps before nick would start ) 5 / 60 * t = 0 ( hick has just started and has n ' t run any lap yet ) ( 10 / 60 - 5 / 60 ) * t = 4 - 0 ( since nick was chasing maria ) t = 48 min needed maria to run 4 laps answer : b" + }, + { + "Answer": 25, + "Options": "a ) 15 men , b ) 25 men , c ) 18 men , d ) 12 men , e ) 14 men", + "Correct": "b", + "Explanation": "\"explanation : x * 40 = ( x - 5 ) * 50 5 x - 4 x = 25 x = 25 men answer : option b\"" + }, + { + "Answer": 17.5, + "Options": "a ) 27.5 days , b ) 15.5 days , c ) 17.5 days , d ) 16.5 days , e ) 18.5 days", + "Correct": "c", + "Explanation": "\"14 * 25 = 20 * x = > x = 17.5 days answer : c\"" + }, + { + "Answer": 200, + "Options": "a ) 276 , b ) 271 , c ) 200 , d ) 278 , e ) 268", + "Correct": "c", + "Explanation": "\"when the second train leaves mumbai the first train covers 40 * 1 = 40 km so , the distance between first train and second train is 40 km at 10.00 am time taken by the trains to meet = distance / relative speed = 40 / ( 50 - 40 ) = 4 hours so , the two trains meet at 2 p . m . the two trains meet 4 * 50 = 200 km away from mumbai . answer : c\"" + }, + { + "Answer": 40.90909090909091, + "Options": "a ) 39 , b ) 38 , c ) 40 , d ) 41 , e ) 34", + "Correct": "d", + "Explanation": "\"1 mile = 5280 feet = > 1 feet = 1 / 5280 miles if the object travels 300 feet in 5 sec then it travels 300 / 5 * 60 * 60 feet in 1 hour ( 1 hr = 60 min * 60 sec ) = 3600 * 60 feet in 1 hour = 216000 feet in 1 hr = 216000 / 5280 miles in 1 hour = 21600 / 528 miles / hr ~ 41 miles / hr answer - d\"" + }, + { + "Answer": 2040, + "Options": "a ) rs . 1200 , b ) rs . 1500 , c ) rs . 2040 , d ) rs . 2000 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : ratio of working days of a : b = 10 : 15 therefore , their wages ratio = reverse ratio = 15 : 10 therefore , a will get 15 units of ratio total ratio = 25 1 unit of ratio = 3000 / 25 = 136 so , a \u2019 s amount = 120 \u00d7 15 = rs . 2040 . answer : option c\"" + }, + { + "Answer": 913, + "Options": "a ) 913 , b ) 825 , c ) 330 , d ) 582 , e ) 465", + "Correct": "a", + "Explanation": "\"first number * second number = lcm * hcf other number = 2310 * 83 / 210 = 11 * 83 = 913 answer : a\"" + }, + { + "Answer": 60, + "Options": "a ) 55 , b ) 60 , c ) 70 , d ) 50 , e ) 65", + "Correct": "b", + "Explanation": "explanation : the given problem can be written in a tabular form like below : - men days hour work planned 100 50 8 1 actual 100 25 8 1 / 3 remaining ? 25 10 2 / 3 we can apply chain rule now . total men required to complete the remaining work = 100 \u00d7 ( 25 / 25 ) \u00d7 ( 8 / 10 ) \u00d7 ( 2 / 3 ) / ( 1 / 3 ) = 160 . so additional men required = 160 - 100 = 60 . answer is b" + }, + { + "Answer": 90, + "Options": "a ) 22 , b ) 38 , c ) 60 , d ) 88 , e ) 90", + "Correct": "e", + "Explanation": "explanation : let the required no of hours be x . then less men , more hours ( indirect proportion ) \\ inline \\ fn _ jvn \\ therefore 10 : 36 : : 25 : x \\ inline \\ fn _ jvn \\ leftrightarrow ( 10 x x ) = ( 36 x 25 ) \\ inline \\ fn _ jvn \\ leftrightarrow \\ inline \\ fn _ jvn x = \\ frac { 36 \\ times 25 } { 10 } = 90 hence , 10 men can do it in 90 hours . answer : e ) 90" + }, + { + "Answer": 10, + "Options": "a ) 10 , b ) 12 , c ) 20 , d ) 30 , e ) 15", + "Correct": "a", + "Explanation": "\"x ' s 1 day ' s work = 1 / 15 y ' s 1 day ' s work = 1 / 30 ( x + y ) ' s 1 day ' s work = ( 1 / 15 + 1 / 30 ) = 1 / 10 both together will finish the work in 10 days . correct option is a\"" + }, + { + "Answer": 6.976744186046512, + "Options": "a ) 7.5 hr , b ) 6.98 hr , c ) 8.5 hr , d ) 10 hr , e ) none of these", + "Correct": "b", + "Explanation": "\"solution : work done by all the tanks working together in 1 hour . 1 / 10 + 1 / 12 \u2212 1 / 25 = 1 / 7 hence , tank will be filled in 6.98 hour option ( b )\"" + }, + { + "Answer": 140.0563499208679, + "Options": "['a ) 120 m', 'b ) 145 m', 'c ) 130 m', 'd ) 140 m', 'e ) 122 m']", + "Correct": "d", + "Explanation": "let inner radius be r metres then 2 \u03c0 r = 640 2 \u00d7 22 / 7 r = 880 44 / 7 r = 880 r = 880 \u00d7 7 / 44 = 140 m answer is d ." + }, + { + "Answer": 245, + "Options": "a ) 288 , b ) 266 , c ) 245 , d ) 277 , e ) 211", + "Correct": "c", + "Explanation": "speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 130 + x ) / 30 = 25 / 2 = = > 2 ( 130 + x ) = 750 = = > x = 245 m . answer : c" + }, + { + "Answer": 6, + "Options": "a ) 5 , b ) 5 1 / 2 , c ) 6 , d ) 8 , e ) none of these", + "Correct": "c", + "Explanation": "b ' s 10 day ' s work = ( 1 / 15 * 10 ) = 2 / 3 remaining work = ( 1 - 2 / 3 ) = 1 / 3 now , 1 / 18 work is done by a in 1 day 1 / 3 work is done by a in ( 18 * 1 / 3 ) = 6 days . correct option : c" + }, + { + "Answer": 60, + "Options": "a ) 45 , b ) 25 , c ) 37 , d ) 41 , e ) 60", + "Correct": "e", + "Explanation": "\"work done by mahesh in 60 days = 20 * 1 / 40 = 1 / 2 remaining work = 1 - 1 / 2 = 1 / 2 1 / 2 work is done by rajesh in 30 days whole work will be done by rajesh is 30 * 2 = 60 days answer is e\"" + }, + { + "Answer": 12, + "Options": "a ) 12 days , b ) 3 days , c ) 4 days , d ) 5 days , e ) 6 days", + "Correct": "a", + "Explanation": "\"ratio of rates of working of a and b = 2 : 1 ratio of times taken = 1 : 2 a ' s 1 day work = 1 / 18 b ' s 1 day work = 1 / 36 a + b 1 day work = 1 / 18 + 1 / 36 = 3 / 36 = 1 / 12 a and b can finish the work in 12 days answer is a\"" + }, + { + "Answer": 51, + "Options": "a ) 42 minutes , b ) 51 minutes , c ) 39 minutes , d ) 40 minutes 20 seconds , e ) none of these", + "Correct": "b", + "Explanation": "\"in one cycle they fill 40 + 30 - 20 = 50 liters 850 = 50 * n = > n = 17 here n = number of cycles . total time = 17 * 3 = 51 as in one cycle there are 3 minutes . thus 51 minutes answer : b\"" + }, + { + "Answer": 10, + "Options": "a ) 10 minutes , b ) 1.5 hours , c ) 9 hours and 12 minutes , d ) 15 hours , e ) 1 hour and 48 minutes .", + "Correct": "a", + "Explanation": "pipe a has a rate of 3 liters per minute which equals a rate of 180 liters per hour . pipe b has a rate of 36 liters per hour . 180 + 36 ( a + b ) = together they have a rate of 2000 liters per hour . 36 ( the bucket ) / 216 = 1 / 6 = 10 minutes answer - a" + }, + { + "Answer": 60, + "Options": "a ) 22 , b ) 60 , c ) 88 , d ) 26 , e ) 18", + "Correct": "b", + "Explanation": "we know that speed is inversely proportional to time while she drives 25 % slower means she drove at 3434 ( s ) we know that d = s x t when speed became 3434 ( s ) then time taken should be 4343 ( t ) i . e , she has taken 4343 ( t ) - t extra to cover the distance . extra time = t 3 t 3 = 20 min ( as 20 min late due to slow driving ) actual time t = 60 minutes answer : b" + }, + { + "Answer": 5.555555555555555, + "Options": "a ) 5.55 sec , b ) 4.55 sec , c ) 5.95 sec , d ) 6.55 sec , e ) 9.55 sec", + "Correct": "a", + "Explanation": "\"rs = 50 - 40 = 10 * 5 / 18 = 50 / 18 t = 50 d = 50 * 50 / 18 = 1250 / 9 rs = 50 + 40 = 90 * 5 / 18 = 25 t = 1250 / 9 * 1 / 25 = 5.55 sec answer : a\"" + }, + { + "Answer": 4.5, + "Options": "a ) 1 day , b ) 2.1 days , c ) 3 days , d ) 4.5 days , e ) 5 days", + "Correct": "d", + "Explanation": "\"the length of cloth painted by one man in one day = 48 / 6 \u00d7 2 = 4 m no . of days required to paint 36 m cloth by 6 men = 36 / 4 \u00d7 2 = 4.5 day . d\"" + }, + { + "Answer": 10, + "Options": "a ) 3 , b ) 4.5 , c ) 4 , d ) d ) 10 , e ) e ) 5", + "Correct": "d", + "Explanation": "the table you made does n ' t make sense to me . all three meet at the same point means the distance they cover is the same . we know their rates are 30 , 40 and 60 . say the time taken by b is t hrs . then a takes 5 + t hrs . and we need to find the time taken by k . distance covered by a = distance covered by b 30 * ( 5 + t ) = 40 * t t = 15 hrs distance covered by b = distance covered by k 40 * t = 60 * time taken by k time taken by k = 40 * 15 / 60 = 10 hrs time taken by a = 5 + t = 5 + 15 = 20 hrs time taken by k = 10 hrs so k starts 20 - 10 = 10 hrs after a . ( answer d )" + }, + { + "Answer": 9.99920006399488, + "Options": "a ) 5 seconds , b ) 4.5 seconds , c ) 10 seconds , d ) 2.5 seconds , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : first convert speed into m / sec speed = 144 * ( 5 / 18 ) = 40 m / sec time = distance / speed = 400 / 40 = 10 seconds answer : c\"" + }, + { + "Answer": 35.99712023038157, + "Options": "a ) 30 , b ) 36 , c ) 50 , d ) 44 , e ) 60", + "Correct": "b", + "Explanation": "\"speed of train relative to man = 64 - 4 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 600 * 3 / 50 = 36 sec . answer : b\"" + }, + { + "Answer": 10, + "Options": "a ) 10.00 , b ) 15.00 , c ) 11.50 , d ) 10.50 , e ) 9.75", + "Correct": "a", + "Explanation": "\"we are given that a glucose solution contains 20 grams of glucose per 1000 cubic centimeters of solution . since we are dealing with a solution , we know that the grams of glucose is proportional to the number of cubic centimeters of solution . thus , to determine how many grams of glucose would be in the container when we have 500 cubic centimeters of solution , we can set up a proportion . we can say : \u201c 20 grams of glucose is to 1000 cubic centimeters of solution as x grams of glucose is to 500 cubic centimeters of solution . \u201d let \u2019 s now set up the proportion and solve for x . 20 / 1000 = x / 500 when we cross multiply we obtain : ( 20 ) ( 500 ) = 1000 x 10000 = 1000 x 10 = x there are 10.00 grams of glucose in the solution in the container . the answer is a .\"" + }, + { + "Answer": 4, + "Options": "a ) 1 cm , b ) 4 cm , c ) 2 cm , d ) 3 cm , e ) 5 cm", + "Correct": "b", + "Explanation": "\"4 \u00ef \u20ac r 2 = 64 = > r = 4 answer b\"" + }, + { + "Answer": 2.770884720466198, + "Options": "a ) 2.172 kg , b ) 2.272 kg , c ) 2.282 kg , d ) 2.992 kg , e ) 2.772 kg", + "Correct": "e", + "Explanation": "\"external radius = 4 cm , internal radius = 3 cm . volume of iron = 22 / 7 x ( ( 4 square ) - ( 3 square ) ) x 42 = ( 22 / 7 ) x 7 x 1 x 42 cm 3 . = 924 cm 3 . weight of iron = ( 924 x 3 ) gm = 2772 gm = 2.772 kg answer : e\"" + }, + { + "Answer": 48, + "Options": "a ) 16 kmph , b ) 88 kmph , c ) 54 kmph , d ) 48 kmph , e ) 19 kmph", + "Correct": "d", + "Explanation": "\"s = 80 / 6 * 18 / 5 = 48 kmph answer : d\"" + }, + { + "Answer": 20, + "Options": "a ) 11 , b ) 77 , c ) 30 , d ) 20 , e ) 34", + "Correct": "d", + "Explanation": "\"us = 7 ds = 33 m = ( 33 + 7 ) / 2 = 20 answer : d\"" + }, + { + "Answer": 5.999520038396929, + "Options": "a ) 6 , b ) 8 , c ) 12 , d ) 4 , e ) 13", + "Correct": "a", + "Explanation": "\"speed of the boat downstream = 15 + 3 = 18 kmph = 18 * 5 / 18 = 5 m / s hence time taken to cover 60 m = 30 / 5 = 6 seconds . answer : a\"" + }, + { + "Answer": 7.5, + "Options": "a ) 5.75 , b ) 5.7 , c ) 7.5 , d ) 5.74 , e ) 5.71", + "Correct": "c", + "Explanation": "\"m = 8 s = 2 ds = 10 us = 6 x / 10 + x / 6 = 1 x = 3.75 d = 3.75 * 2 = 7.5 answer : c\"" + }, + { + "Answer": 179.95574287564276, + "Options": "a ) 32.8 , b ) 180 , c ) 32.1 , d ) 32.2 , e ) 32.9", + "Correct": "b", + "Explanation": "\"diameter 70 cm 1 / 2 * 22 / 7 * 70 + 70 = 180 answer : b\"" + }, + { + "Answer": 20.0016, + "Options": "a ) 10.8 , b ) 18 , c ) 30 , d ) 20 , e ) none", + "Correct": "d", + "Explanation": "\"solution speed = 72 kmph = ( 72 x 5 / 18 ) m / sec = 20 m / sec . answer d\"" + }, + { + "Answer": 3.999999999999999, + "Options": "a ) 4 days , b ) 6 days , c ) 7 days , d ) 1 days , e ) 3 days", + "Correct": "a", + "Explanation": "\"a 4 days 2 / 5 + ( 2 + x ) / 10 = 1 = > x = 4 days\"" + }, + { + "Answer": 10, + "Options": "a ) 67 , b ) 10 , c ) 18 , d ) 26 , e ) 12", + "Correct": "b", + "Explanation": "\"let the leak can empty the full tank in x hours 1 / 5 - 1 / x = 1 / 10 = > 1 / x = 1 / 5 - 1 / 10 = 1 / 10 = > x = 10 . answer : b\"" + }, + { + "Answer": 154, + "Options": "a ) 36 , b ) 66 , c ) 154 , d ) 264 , e ) 364", + "Correct": "c", + "Explanation": "\"14 * 396 = 36 * x x = 154 answer : c\"" + }, + { + "Answer": 300, + "Options": "a ) 550 , b ) 300 , c ) 650 , d ) 700 , e ) 750", + "Correct": "b", + "Explanation": "\"1 flash = 12 sec for 1 min = 5 flashes so for 1 hour = 5 * 60 = 300 flashes . answer : b\"" + }, + { + "Answer": 8, + "Options": "a ) 8 days , b ) 10 days , c ) 12 days , d ) 4 days , e ) 12 days", + "Correct": "a", + "Explanation": "\"2 c = 1 / 6 + 1 / 3 \u2013 1 / 4 = 1 / 4 c = 1 / 8 = > 8 days answer : a\"" + }, + { + "Answer": 6, + "Options": "a ) 6 days , b ) 7 days , c ) 5 days , d ) 3 days , e ) 2 days", + "Correct": "a", + "Explanation": "one day ' s work of a and b = 1 / 9 + 1 / 8 = ( 2 + 1 ) / 18 = 1 / 6 so , the time taken to complete the work is 6 days . answer : a" + }, + { + "Answer": 558, + "Options": "a ) 113 miles , b ) 432 miles , c ) 558 miles , d ) 887 miles , e ) 767 miles", + "Correct": "c", + "Explanation": "\"the number of miles to drive to finish his journey is given by 1200 - 642 = 558 miles correct answer c\"" + }, + { + "Answer": 90, + "Options": "a ) 90 days , b ) 30 days , c ) 60 days , d ) 65 days , e ) 36 days", + "Correct": "a", + "Explanation": "\"assume : jose does 1 job in x days , so jose does 1 / x job in a day jane does 1 job in y days , so jane does 1 / y job in a day together , they does ( x + y ) / xy job in a day . this is equals to 1 / 20 . so ( x + y ) / xy = 1 / 30 30 ( x + y ) = xy next , we ' re told 1 job takes 45 days to complete if jose and jane each does half the work . so since jose does 1 job in x days , he wil need x / 2 days to do half the job . jane similarly will need y / 2 days to do the other half . x / 2 + y / 2 = 45 x + y = 90 so xy = 30 * 90 = 2700 the answer choices are : 90 days 30 days 60 days 65 days 36 days from the answer choices , so i ' ll go for 90 days for jose and 30 days for jane . answer : a\"" + }, + { + "Answer": 54, + "Options": "a ) 42 , b ) 36 , c ) 28 , d ) 20 , e ) 54", + "Correct": "e", + "Explanation": "\"explanation : distance covered = 120 + 120 = 240 m time = 12 s let the speed of each train = v . then relative speed = v + v = 2 v 2 v = distance / time = 240 / 8 = 30 m / s speed of each train = v = 30 / 2 = 15 m / s = 15 \u00d7 36 / 10 km / hr = 54 km / hr answer : option e\"" + }, + { + "Answer": 66, + "Options": "a ) $ 33.75 , b ) $ 47.25 , c ) $ 51.75 , d ) $ 54.00 , e ) $ 66.00", + "Correct": "e", + "Explanation": "daily working hour * regular rate + overtime * increased rate 7.5 * 5.5 + 3 * 5.5 * 1.5 = 66.00 answer e" + }, + { + "Answer": 20, + "Options": "a ) 10 , b ) 20 , c ) 85 , d ) 86 , e ) 88", + "Correct": "b", + "Explanation": "we know that there are 60 minutes in 1 hour . divide the number of minutes by the number of minutes in 1 hour . we get , divide 1200 by 601200 \u00f7 60 = 20 so there are 20 hours in 1200 minutes . answer is b" + }, + { + "Answer": 3.75, + "Options": "a ) 15 / 4 , b ) 40 / 9 , c ) 50 / 9 , d ) 60 / 9 , e ) 80 / 9", + "Correct": "a", + "Explanation": "\"one day work of a = 1 / 5 one day work of b = 1 / 15 so one day work of a and b together = 1 / 5 + 1 / 15 = 4 / 15 so total days required = 15 / 4 answer : a\"" + }, + { + "Answer": 240, + "Options": "a ) 288 , b ) 267 , c ) 261 , d ) 211 , e ) 240", + "Correct": "e", + "Explanation": "\"the total number of stations = 16 from 16 stations we have to choose any two stations and the direction of travel ( i . e . , hyderabad to bangalore is different from bangalore to hyderabad ) in 16 p \u2082 ways . 16 p \u2082 = 16 * 15 = 240 . answer : e\"" + }, + { + "Answer": 270, + "Options": "a ) 870 m 3 , b ) 277 m 3 , c ) 270 m 3 , d ) 220 m 3 , e ) 170 m 3", + "Correct": "c", + "Explanation": "\"volume will be length * breadth * height , but in this case two heights are given so we will take average , volume = ( 12 \u2217 9 \u2217 ( 1 + 42 ) ) m 312 \u2217 9 \u2217 2.5 m 3 = 270 m 3 answer : c\"" + }, + { + "Answer": 80, + "Options": "a ) 80 , b ) 28 , c ) 90 , d ) 26 , e ) 11", + "Correct": "a", + "Explanation": "\"explanation : sp of 1 m of cloth = 8925 / 85 = rs . 105 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 105 - rs . 25 = rs . 80 . answer : a\"" + }, + { + "Answer": 443.0769230769231, + "Options": "a ) 440 , b ) 540 , c ) 443 , d ) 740 , e ) 250", + "Correct": "c", + "Explanation": "\"speed of aeroplane = 480 kmph distance travelled in 4 hours = 480 * 4 = 1920 km speed of aeroplane to acver 1920 km in 13 / 3 = 1920 * 3 / 13 = 443 km answer c .\"" + }, + { + "Answer": 703.9999999999999, + "Options": "a ) 794 m , b ) 704 m , c ) 454 m , d ) 186 m , e ) 176 m", + "Correct": "b", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 500 resolutions . = 500 * 2 * 22 / 7 * 22.4 = 70400 cm = 704 m answer : b\"" + }, + { + "Answer": 8, + "Options": "a ) 4 cm , b ) 6 cm , c ) 8 cm , d ) 10 cm , e ) 12 cm", + "Correct": "c", + "Explanation": "\"volume of cylinder = pi * r ^ 2 * h volume of a sphere = 4 * pi * r ^ 3 / 3 12 * 4 * pi * r ^ 3 / 3 = pi * r ^ 2 * h r ^ 3 = r ^ 2 * h / 16 = 64 cm ^ 3 r = 4 cm d = 8 cm the answer is c .\"" + }, + { + "Answer": 350, + "Options": "a ) 200 m , b ) 225 m , c ) 245 m , d ) 350 m , e ) 240 m", + "Correct": "d", + "Explanation": "\"speed = [ 72 x 5 / 18 ] m / sec = 20 m / sec time = 30 sec let the length of bridge be x metres . then , ( 250 + x ) / 30 = 20 = > 250 + x = 600 = > x = 350 m . answer : d\"" + }, + { + "Answer": 7, + "Options": "a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3", + "Correct": "a", + "Explanation": "let the required number days be x . less spiders , more days ( indirect proportion ) less webs , less days ( direct proportion ) spiders 1 : 7 webs 7 : 1 1 x 7 x x = 7 x 1 x 7 = > x = 7 answer is 7" + }, + { + "Answer": 258, + "Options": "['a ) 378', 'b ) 278', 'c ) 258', 'd ) 287', 'e ) 271']", + "Correct": "c", + "Explanation": "explanation : area of cross roads = 55 * 4 + 35 * 4 - 4 * 4 = 344 sq m cost of graveling = 344 * ( 75 / 100 ) = rs . 258 answer : c ) rs . 258" + }, + { + "Answer": 1, + "Options": "a ) 1 minute , b ) 5 minutes , c ) 7 minutes , d ) 3 minutes , e ) 4 minutes", + "Correct": "a", + "Explanation": "\"earl takes 1 min . for 36 envelopes . ellen takes 3 / 2 mins for the same . so ellen can stuff ( ( 36 ) / ( 3 / 2 ) ) in 1 min . i . e . , 24 envlpes a min . so both of them when work together can stuff 36 + 24 = 60 envelopes in 1 min . for 60 envelopes they will take 60 / 60 mins . i . e . , 1 mins . answer : a\"" + }, + { + "Answer": 24, + "Options": "a ) 18 , b ) 27 , c ) 98 , d ) 27 , e ) 24", + "Correct": "e", + "Explanation": "\"let the pipe b be closed after x minutes . 30 / 15 - x / 24 = 1 = > x / 24 = 30 / 15 - 1 = 1 = > x = 1 * 24 = 24 . answer : e\"" + }, + { + "Answer": 144, + "Options": "a ) 144 , b ) 255 , c ) 148 , d ) 265 , e ) 320", + "Correct": "a", + "Explanation": "if each of 66 tractors ploughed 120120 hectares a day and they finished the work in 44 days , then the whole field is : 120 \u22c5 6 \u22c5 4 = 720 \u22c5 4 = 2880120 \u22c5 6 \u22c5 4 = 720 \u22c5 4 = 2880 hectares . let ' s suppose that each of the four tractors ploughed xx hectares a day . therefore in 5 days they ploughed 5 \u22c5 4 \u22c5 x = 20 \u22c5 x 5 \u22c5 4 \u22c5 x = 20 \u22c5 x hectares , which equals the area of the whole field , 2880 hectares . so , we get 20 x = 288020 x = 2880 x = 288020 = 144 x = 288020 = 144 . hence , each of the four tractors would plough 144 hectares a day . correct answer is a ) 144" + }, + { + "Answer": 0.5, + "Options": "a ) 1 / 2 , b ) 3 / 7 , c ) 4 / 9 , d ) 3 / 8 , e ) 4 / 7", + "Correct": "a", + "Explanation": "3 / 4 - - - - 12 ? - - - - - 8 = = > 1 / 2 a" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "d", + "Explanation": "\"let x be the number of roses . then the number of birches is 24 \u2212 x , and the number of boys is 3 \u00d7 ( 24 \u2212 x ) . if each girl planted 3 roses , there are x 3 girls in the class . we know that there are 24 students in the class . therefore x 3 + 3 ( 24 \u2212 x ) = 24 x + 9 ( 24 \u2212 x ) = 3 \u22c5 24 x + 216 \u2212 9 x = 72 216 \u2212 72 = 8 x 1448 = x x = 18 so , students planted 18 roses and 24 - x = 24 - 18 = 6 birches . so answer is d .\"" + }, + { + "Answer": 6, + "Options": "a ) 6 days , b ) 9 days , c ) 2 days , d ) 7 days , e ) 1 days", + "Correct": "a", + "Explanation": "explanation : on working together ajay and vijay can complete the work in ( 8 * 24 ) / ( 8 + 24 ) = 192 / 32 = 6 days answer : a" + }, + { + "Answer": 104, + "Options": "a ) 18 , b ) 144 , c ) 104 , d ) 216 , e ) 250", + "Correct": "c", + "Explanation": "\"total paint initially = 360 gallons paint used in the first week = ( 1 / 9 ) * 360 = 40 gallons . remaning paint = 320 gallons paint used in the second week = ( 1 / 5 ) * 320 = 64 gallons total paint used = 104 gallons . option c\"" + }, + { + "Answer": 19, + "Options": "a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 22", + "Correct": "c", + "Explanation": "explanation : when dexter completes second round , they do handshake once . now for every round which dexter completes , there will be one hand shake as the ratio of speed is 13 : 8 . d and p will meet at the pool end only after d completes 26 rounds . in the 20 th round , d finish the race and the total handshake ' s will be : 20 \u2212 1 = 19 . answer : c" + }, + { + "Answer": 100, + "Options": "a ) 120 metres , b ) 180 metres , c ) 100 metres , d ) 228 metres , e ) 150 metres", + "Correct": "c", + "Explanation": "\"speed = 60 x 5 / 18 m / sec = 50 / 3 m / sec . length of the train = ( speed x time ) . length of the train = 50 / 3 x 6 m = 100 m . option c\"" + }, + { + "Answer": 22.4, + "Options": "a ) 55 days , b ) 77 days , c ) 22.4 days , d ) 88 days , e ) 44 days", + "Correct": "c", + "Explanation": "\"16 * 28 = 20 * x = > x = 22.4 days answer : c\"" + }, + { + "Answer": 3000, + "Options": "a ) 1977 , b ) 1893 , c ) 1979 , d ) 3000 , e ) 1278", + "Correct": "d", + "Explanation": "\"2000 - - - - 65 2000 - - - - 50 x - - - - - 20 x * 20 = 2000 * 50 x = 5000 2000 - - - - - - - 3000 answer : d\"" + }, + { + "Answer": 6.999440044796416, + "Options": "a ) 6 sec , b ) 7 sec , c ) 8 sec , d ) 9 sec , e ) 2 sec", + "Correct": "b", + "Explanation": "\"t = 70 / 36 * 18 / 5 = 7 sec answer : b\"" + }, + { + "Answer": 24, + "Options": "a ) 20 kmph , b ) 28 kmph , c ) 25 kmph , d ) 22 kmph , e ) 24 kmph", + "Correct": "e", + "Explanation": "\"72 * 20 / 60 = 24 kmph answer : e\"" + }, + { + "Answer": 99, + "Options": "a ) 47 , b ) 76 , c ) 28 , d ) 66 , e ) 99", + "Correct": "e", + "Explanation": "\"explanation : for ticking 6 times , there are 5 intervals . each interval has time duration of 45 / 5 = 9 secs at 12 o ' clock , there are 11 intervals , so total time for 11 intervals = 11 \u00d7 9 = 99 secs . answer : e\"" + }, + { + "Answer": 12250, + "Options": "a ) 12250 , b ) 13400 , c ) 12500 , d ) 14340 , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : no . of bricks = volume of the wall / volume of 1 brick = ( 1000 x 800 x 24.5 ) / ( 20 x 10 x 8 ) = 12250 answer : a\"" + }, + { + "Answer": 5625, + "Options": "a ) 5624 , b ) 5625 , c ) 5626 , d ) 5627 , e ) none", + "Correct": "b", + "Explanation": "solution : 5625 n ^ 1 75 * 75 = 5625 ( sum of first 75 odd numbers ) . 50 * 50 = 2500 ( sum of first 50 odd numbers ) . answer b" + }, + { + "Answer": 600.0000000000001, + "Options": "a ) 287 , b ) 350 , c ) 600 , d ) 277 , e ) 122", + "Correct": "c", + "Explanation": "\"speed = 300 / 18 = 50 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 54 = 50 / 3 3 x + 900 = 2700 = > x = 600 m . answer : c\"" + }, + { + "Answer": 96, + "Options": "a ) 70 m , b ) 60 m , c ) 80 m , d ) 65 m , e ) 96 m", + "Correct": "e", + "Explanation": "\"speed of a : speed of b = 4 : 1 means in a race of 4 m a gains 3 m . then in a race of 72 m he gains 72 * ( 4 / 3 ) i . e 96 m answer : e\"" + }, + { + "Answer": 52, + "Options": "a ) 52 , b ) 27 , c ) 99 , d ) 61 , e ) 11", + "Correct": "a", + "Explanation": "explanation : suppose the worker remained idle for m days . then , he worked for ( 60 - m ) days . 30 ( 60 - m ) \u2013 5 m = 500 1800 \u2013 25 m = 500 25 m = 1300 m = 52 so , the worker remained idle for 52 days . answer : a" + }, + { + "Answer": 7, + "Options": "a ) 3 days , b ) 5 days , c ) 4 days , d ) 6 days , e ) 7 days", + "Correct": "e", + "Explanation": "\"2 / 5 + ( 2 + x ) / 15 = 1 = > x = 7 days answer : e\"" + }, + { + "Answer": 304, + "Options": "a ) 304 cm 2 , b ) 179 cm 2 , c ) 285 cm 2 , d ) 167 cm 2 , e ) 197 cm 2", + "Correct": "a", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 16 ) = 304 cm 2 answer : a\"" + }, + { + "Answer": 96.66666666666667, + "Options": "a ) 96.7 m , b ) 120 m , c ) 130 m , d ) 150 m , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : solution : relative speed = ( 9 - 8 ) = 1 km / hr . distance covered in 3 minutes = ( 1 * 5 / 60 ) km = 1 / 12 km = 83.3 m . . ' . distance between the criminal and policeman = ( 180 - 83.3 ) m = 96.7 m . answer : a\"" + }, + { + "Answer": 66, + "Options": "a ) 33 , b ) 66 , c ) 18 , d ) 100 , e ) 281", + "Correct": "b", + "Explanation": "\"( 54 * 8 ) / 30 = ( x * 6 ) / 50 = > x = 120 120 \u2013 54 = 66 answer : b\"" + }, + { + "Answer": 113, + "Options": "a ) 92 \u00b0 f , b ) 97 \u00b0 f , c ) 104 \u00b0 f , d ) 113 \u00b0 f , e ) 118 \u00b0 f", + "Correct": "d", + "Explanation": "\"let f and c denote the temperature in fahrenheit and celsius respectively . ( f - 32 ) / ( 212 - 32 ) = ( c - 0 ) / ( 100 - 0 ) f = 9 c / 5 + 32 f = 9 ( 45 ) / 5 + 32 = 113 \u00b0 f the answer is d .\"" + }, + { + "Answer": 20, + "Options": "a ) 10 days , b ) 12 days , c ) 20 days , d ) 18 days , e ) 25 days", + "Correct": "c", + "Explanation": "a + b 1 day work = 1 / 30 + 1 / 15 = 1 / 10 work done by a and b in 10 days = 1 / 10 * 5 = 1 / 2 remaining work = 1 - 1 / 2 = 1 / 2 now 1 / 30 work is done by a in 1 day 1 / 2 work will be done by a in 30 * 1 / 2 = 15 days total time taken = 15 + 5 = 20 days answer is c" + }, + { + "Answer": 24, + "Options": "a ) 15 , b ) 18 , c ) 21 , d ) 24 , e ) 27", + "Correct": "d", + "Explanation": "let k and t be the speeds of karen and tom respectively . t be the time that karen will travel - - - - > t + 4 / 60 will be the total time tom will travel by the time the distance between karen and tom is 4 miles . thus , per the question , k ( t ) - t ( t + 4 / 60 ) = 4 - - - > t = 7 / 15 hours thus the distance traveled by tom when karen is 4 miles ahead of him e : t * ( t + 4 / 60 ) = 45 ( 7 / 15 + 4 / 60 ) = 24 miles . d is the correct answer ." + }, + { + "Answer": 29.999999999999993, + "Options": "a ) 10 min , b ) 15 min , c ) 30 min , d ) 25 min , e ) 42 min", + "Correct": "c", + "Explanation": "part filled by a + b in 1 minute = 1 / 60 + 1 / 40 = 1 / 24 suppose the tank is filled in x minutes then , x / 2 ( 1 / 24 + 1 / 40 ) = 1 x / 2 * 1 / 15 = 1 x = 30 min answer is c" + }, + { + "Answer": 42.857142857142854, + "Options": "a ) 37 , b ) 39 , c ) 41 , d ) 43 , e ) 45", + "Correct": "d", + "Explanation": "\"let v be the speed of the person and let x be the speed of the walkway . 25 ( v + x ) = 100 then 150 ( v + x ) = 600 150 ( v - x ) = 100 when we add the two equations : 300 v = 700 v = 7 / 3 time = 100 / ( 7 / 3 ) = ( 300 / 7 ) seconds which is about 43 seconds the answer is d .\"" + }, + { + "Answer": 55, + "Options": "a ) 55 , b ) 30 , c ) 28 , d ) 24 , e ) 32", + "Correct": "a", + "Explanation": "\"number of workers = 10 * ( 65 - 10 ) / 10 = 55 answer is a\"" + }, + { + "Answer": 120, + "Options": "a ) 100 min , b ) 110 min , c ) 140 min , d ) 120 min , e ) 150 min", + "Correct": "d", + "Explanation": "\"distance = speed * time 8 * 19 / 4 = 38 km new speed = 19 kmph therefore time = d / s = 38 / 19 = 120 min answer : d .\"" + }, + { + "Answer": 24, + "Options": "a ) 15 , b ) 16 , c ) 17 , d ) 20 , e ) 24", + "Correct": "e", + "Explanation": "\"speed = 63 * 5 / 18 = 35 / 2 m / sec time taken = 420 * 2 / 35 = 24 sec answer : option e\"" + }, + { + "Answer": 52, + "Options": "a ) 10 % , b ) 28 % , c ) 33 % , d ) 42 % , e ) 52 %", + "Correct": "e", + "Explanation": "\"let ' s test x = 4 . . . . on sunday , daniel drove 100 miles at 4 miles / hour . d = ( r ) ( t ) 100 = ( 4 ) ( t ) 100 / 4 = 25 = t it takes 25 hours to drive home on monday , daniel drove the first 32 miles at ( 2 ) ( 4 ) = 8 miles / hour and the rest of the way ( 68 miles ) at 4 / 2 = 2 miles / hour d = ( r ) ( t ) 32 = ( 8 ) ( t ) 32 / 8 = 4 = t it takes 4 hours for the first part d = ( r ) ( t ) 68 = ( 2 ) ( t ) 68 / 2 = 34 = t it takes 34 hours for the second part total time to drive home on monday = 4 + 34 = 38 hours we ' re asked by what percent 38 hours is greater than 25 hours . 38 / 25 = 1.52 , so it is 52 % greater . e\"" + }, + { + "Answer": 30, + "Options": "a ) 20 m , b ) 25 m , c ) 22.5 m , d ) 9 m , e ) 30 m", + "Correct": "e", + "Explanation": "\"distance covered by b in 9 sec . = 150 / 45 x 9 m = 30 m . a beats b by 30 metres . answer : option e\"" + }, + { + "Answer": 17.998560115190788, + "Options": "a ) 18 seconds , b ) 34 seconds , c ) 14 seconds , d ) 12 seconds , e ) 15 seconds", + "Correct": "a", + "Explanation": "\"speed of the boat downstream = 10 + 2 = 12 kmph = 12 * 5 / 18 = 10 / 3 m / s hence time taken to cover 60 m = 60 * 3 / 10 = 18 seconds . answer : a\"" + }, + { + "Answer": 44.99999999999999, + "Options": "a ) 22 , b ) 45 , c ) 66 , d ) 88 , e ) 12", + "Correct": "b", + "Explanation": "let the distance to be travelled to catch the bus be x km x / 30 - x / 40 = 30 / 60 = > ( 4 x - 3 x ) / 120 = 1 / 2 = > x = 60 km by traavelling 30 kmph time taken = 60 / 30 = 2 hours by taking 2 hours , he is late by 40 min . so , he has to cover 60 km in at most speed = 60 / ( 4 / 3 ) = 45 kmph . answer : b" + }, + { + "Answer": 37, + "Options": "a ) 3.6 sec , b ) 37 sec , c ) 36 sec , d ) 72 sec , e ) none of these", + "Correct": "b", + "Explanation": "\"speed of train relative to jogger = ( 45 \u2013 9 ) km / h = 36 km / h = ( 36 \u00d7 5 \u2044 18 ) m / sec = 10 m / sec distance to be covered = ( 250 + 120 ) m = 370 m . \u2234 time taken = ( 370 \u2044 10 ) sec = 37 sec . answer b\"" + }, + { + "Answer": 74.99999999999999, + "Options": "a ) 75 meters , b ) 60 meters , c ) 90 meters , d ) 80 meters , e ) 70 meters", + "Correct": "a", + "Explanation": "let the length of the train be x meter and the speed of the cyclist is y m / s now when the train and the cyclist are in the same direction , the relative speed is : ( 35 / 3 - y ) m / s [ converting 42 km / h to m / s - 35 / 3 m / s ] now distance / relative speed = 9 seconds substituting the values , we get x + 9 y . . . . . . . . . . . . . . . . . . . . . ( 1 ) similarly calculate the relative speed when they are in the opposite direction the relative speed is ( 35 / 3 + y ) now distance / relative speed is equivalent to 5 seconds substituting the values , we get the equation 3 x - 15 y = 175 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ( 2 ) solving ( 1 ) and ( 2 ) , we get x = 75 meters answer : a" + }, + { + "Answer": 9.714285714285715, + "Options": "a ) 62 , b ) 64 , c ) 66 / 7 , d ) 10 , e ) 68 / 7", + "Correct": "e", + "Explanation": "\"in such questions , you need to start from the end . last 5 days john works alone and completes 5 * ( 1 / 16 ) = 5 / 16 of the work . so 11 / 16 of the work should have been completed by the two of them together before jane left . their combined rate of work is 1 / 16 + 1 / 12 = 7 / 48 time taken to complete 11 / 16 of the work = ( 11 / 16 ) / ( 7 / 48 ) = 33 / 7 days . so total number of days taken to complete the work = 33 / 7 + 5 = 68 / 7 days . e\"" + }, + { + "Answer": 160, + "Options": "a ) 176 sec , b ) 190 sec , c ) 178 sec , d ) 160 sec , e ) 276 sec", + "Correct": "d", + "Explanation": "\"l = s * t s = 1200 / 120 s = 10 m / sec . total length ( d ) = 1600 m t = d / s t = 1600 / 10 t = 160 sec answer : d\"" + }, + { + "Answer": 1162.5, + "Options": "a ) 287 m , b ) 350 m , c ) 1267 m , d ) 1287 m , e ) 1162.5 m", + "Correct": "e", + "Explanation": "\"speed = 300 / 8 = 75 / 2 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 39 = 75 / 2 = > x = 1162.5 m . answer : e\"" + }, + { + "Answer": 16, + "Options": "a ) 65 sec , b ) 16 sec , c ) 18 sec , d ) 13 sec , e ) 76 sec", + "Correct": "b", + "Explanation": "\"speed = 63 * 5 / 18 = 35 / 2 m / sec time taken = 280 * 2 / 35 = 16 sec answer : b\"" + }, + { + "Answer": 25, + "Options": "a ) 23 , b ) 28 , c ) 48 , d ) 25 , e ) 99", + "Correct": "d", + "Explanation": "\"explanation : h . c . f = ( product of the numbers ) / ( their l . c . m ) = 18750 / 750 = 25 . answer : d\"" + }, + { + "Answer": 2.4000000000000004, + "Options": "a ) 1.2 hrs , b ) 1.8 hrs , c ) 2.4 hrs , d ) 3.0 hrs , e ) none of these", + "Correct": "c", + "Explanation": "explanation : p \u2019 s 1 hr work = 1 / 4 q \u2019 s 1 hr work = 1 / 6 ( p + q ) \u2019 s 1 hr work = 1 / 4 + 1 / 6 = 5 / 12 = > time = 12 / 5 = 2.4 hrs answer : option c" + }, + { + "Answer": 2.4, + "Options": "a ) 1 km , b ) 1.5 km , c ) 5 km , d ) 3.2 km , e ) 2.4 km", + "Correct": "e", + "Explanation": "speed of down stream = 5 + 1 = 6 kmph speed of upstream = 5 - 1 = 4 kmph let the required distance be xkm x / 6 + x / 4 = 1 2 x + 3 x = 12 x = 2.4 km answer is e" + }, + { + "Answer": 1101, + "Options": "a ) 4436 toys , b ) 5487 toys , c ) 1101 toys , d ) 2354 toys , e ) 1375 toys", + "Correct": "c", + "Explanation": "to find the number of toys produced every day , we divide the total number of toys produced in one week ( of 5 days ) by 5 . 5505 / 5 = 1101 toys correct answer c" + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "c", + "Explanation": "\"the number of hours required to complete the work is 8 * 8 * 24 = 1536 12 \u00d7 16 \u00d7 ( x ) = 1536 x = 8 the answer is c .\"" + }, + { + "Answer": 48, + "Options": "a ) 76 seconds , b ) 18 seconds , c ) 40 seconds , d ) 48 seconds , e ) 45 seconds", + "Correct": "d", + "Explanation": "\"speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 460 + 140 = 600 meter time = distance / speed = 600 * ( 2 / 25 ) = 48 seconds answer : d\"" + }, + { + "Answer": 135, + "Options": "a ) 18 , b ) 135 , c ) 175 , d ) 216 , e ) 250", + "Correct": "b", + "Explanation": "\"total paint initially = 360 gallons paint used in the first week = ( 1 / 4 ) * 360 = 90 gallons . remaning paint = 270 gallons paint used in the second week = ( 1 / 6 ) * 270 = 45 gallons total paint used = 135 gallons . option b\"" + }, + { + "Answer": 13.700000000000001, + "Options": "a ) 5.2 , b ) 7.4 , c ) 13.7 , d ) 21.2 , e ) 28.7", + "Correct": "c", + "Explanation": "\"c inches necessary to represent a distance of 383.6 miles = 383.6 / 28 = 13.7 answer c\"" + }, + { + "Answer": 14.012738853503185, + "Options": "a ) a ) 15 , b ) b ) 10 , c ) c ) 14 , d ) d ) 12 , e ) e ) 11", + "Correct": "c", + "Explanation": "\"2 * 22 / 7 * 14 * x = 1232 = > x = 14 answer : c\"" + }, + { + "Answer": 3, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 12", + "Correct": "b", + "Explanation": "\"let the speed be x . . . so time taken from home to grocery = 180 / x . . the speed to gym = 2 x . . so time taken = 240 / 2 x = 120 / x . . its given 180 / x - 120 / x = 40 . . 60 / x = 40 = > 40 x = 60 = > x = 60 / 40 x = 1.5 m / secs . . so grocery to gym = 2 * 1.5 = 3 m / s . . . answer : b\"" + }, + { + "Answer": 3040, + "Options": "a ) 3022 , b ) 3040 , c ) 3099 , d ) 3088 , e ) 3066", + "Correct": "b", + "Explanation": "\"760 - - - - 22 760 - - - - 20 x - - - - - 4 x * 4 = 760 * 20 x = 3800 760 - - - - - - - 3040 answer : b\"" + }, + { + "Answer": 1, + "Options": "a ) 1 , b ) 22 1 / 7 , c ) 2 , d ) 22 1 / 2 , e ) 3", + "Correct": "a", + "Explanation": "\"100 - - - 10 ds = 10 ? - - - - 1 200 - - - - 30 us = 8 ? - - - - - 1 s = ( 10 - 8 ) / 2 = 1 kmph . answer : a\"" + }, + { + "Answer": 20, + "Options": "a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", + "Correct": "b", + "Explanation": "if his tour is for x days and he is spending rs y per day , then xy = 360 x = 360 / y or y = 360 / x ( x + 4 ) * ( y - 3 ) = 360 or xy + 4 y - 3 x - 12 = 360 or 4 y - 3 x - 12 = 0 4 * 360 / x - 3 x - 12 = 0 solving it , we get x = 20 answer : b" + }, + { + "Answer": 1, + "Options": "a ) 1 cm , b ) 2 cm , c ) 24 cm , d ) 55 cm , e ) 50 cm", + "Correct": "a", + "Explanation": "explanation : convert first all terms into cm . i . e . 1234 cm , 898 cm , 665 cm . now whenever we need to calculate this type of question , we need to find the hcf . hcf of above terms is 1 . option a" + }, + { + "Answer": 0.38, + "Options": "a ) 18 / 50 , b ) 16 / 50 , c ) 17 / 50 , d ) 19 / 50 , e ) none", + "Correct": "d", + "Explanation": "\"answer 0.38 = 38 / 100 = 19 / 50 correct option : d\"" + }, + { + "Answer": 112.00000000000006, + "Options": "a ) 33 , b ) 88 , c ) 40 , d ) 99 , e ) 112", + "Correct": "e", + "Explanation": "\"1 / 14 - 1 / x = 1 / 16 x = 112 answer : e\"" + }, + { + "Answer": 48, + "Options": "a ) 48 days , b ) 55 days , c ) 24 days , d ) 33 days , e ) 40 days", + "Correct": "a", + "Explanation": "\"2 c = 1 / 8 + 1 / 12 \u2013 1 / 6 = 1 / 24 c = 1 / 48 = > 48 days answer : a\"" + }, + { + "Answer": 12.000000000000002, + "Options": "a ) 28 km , b ) 12 km , c ) 16 km , d ) 30 km , e ) 20 km", + "Correct": "b", + "Explanation": "let the distance between a and b be x km . total time = x / ( 5 + 1 ) + x / ( 5 - 1 ) = 5 = > x / 6 + x / 4 = 4 = > ( 2 x + 3 x ) / 12 = 5 = > x = 12 km . answer : b" + }, + { + "Answer": 110, + "Options": "a ) s . 109 , b ) s . 108 , c ) s . 110 , d ) s . 103 , e ) s . 102", + "Correct": "c", + "Explanation": "\"3 x 4 x 5 x 6 9 4 18 x + 36 x + 20 x = 1628 74 x = 1628 = > x = 22 5 x = 110 rs . answer : c\"" + }, + { + "Answer": 140.79999999999998, + "Options": "a ) 140 m , b ) 141 m , c ) 142 m , d ) 143 m , e ) 144 m", + "Correct": "b", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 100 resolutions . = 100 * 2 * 22 / 7 * 22.4 = 14100 cm = 141 m answer : b\"" + }, + { + "Answer": 84, + "Options": "a ) 92 hours , b ) 24 hours , c ) 84 hours , d ) 48 hours , e ) none", + "Correct": "c", + "Explanation": "\"sol . speed upstream = 3 kmph ; speed downstream = 9 kmph . \u2234 total time taken = [ 210 / 3 + 210 / 9 ] hours = 84 hours . answer c\"" + }, + { + "Answer": 68.5, + "Options": "a ) 49 m 2 , b ) 50 m 2 , c ) 53.5 m 2 , d ) 68.5 m 2 , e ) 57 m 2", + "Correct": "d", + "Explanation": "\"area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 4 x 1.25 + 9 x 1.25 ) + 9 x 4 ] m 2 = 68.5 m 2 . answer : option d\"" + }, + { + "Answer": 5, + "Options": "a ) 3 hours , b ) 4 hours , c ) 5 hours , d ) 6 hours , e ) 7 hours", + "Correct": "c", + "Explanation": "\"explanation : speed of the boat in still water = 24 km / hr speed of the stream = 4 km / hr speed downstream = ( 22 + 5 ) = 28 km / hr distance travelled downstream = 140 km time taken = distance / speed = 140 / 28 = 5 hours answer : option c\"" + }, + { + "Answer": 32, + "Options": "a ) 24 , 22 , b ) 32 , 16 , c ) 30 , 18 , d ) 28 , 14 , e ) none of these", + "Correct": "b", + "Explanation": "the total distance covered for over taking = length of the two trains = 120 + 120 = 240 speed of faster train be x m / s and slower train be y m / s in the first case relative speed = x - y relative speed = distance / time taken = x - y = 240 / 15 = 16 m / s \u2026 \u2026 \u2026 ( 1 ) in the second case , the slower train moves at half its speed relative speed = x - 0.5 y = 240 / 10 = 24 m / s \u2026 \u2026 \u2026 \u2026 \u2026 \u2026 \u2026 . . ( 2 ) solving equation 1 & 2 we get x = 32 and y = 16 . : . the speed of the faster and slower trains are 32 m / s and 16 m / s respectively answer : b" + }, + { + "Answer": 0.5333333333333333, + "Options": "a ) 8 , b ) 8 / 11 , c ) 8 / 13 , d ) 8 / 15 , e ) none", + "Correct": "d", + "Explanation": "a ' s 1 day ' s work = 1 ; 15 b ' s 1 day ' s work = 1 ; 20 ( a + b ) ' s 1 day ' s work = ( 1 + 1 ) = 7 . 15 20 60 ( a + b ) ' s 4 day ' s work = ( 7 x 4 ) = 7 . 60 15 therefore , remaining work = ( 1 - 7 ) = 8 . 15 15 option d" + }, + { + "Answer": 9, + "Options": "a ) 5 , b ) 6 , c ) 9 , d ) 8 , e ) 5", + "Correct": "c", + "Explanation": "\"speed of train relative to man = ( 60 + 6 ) km / hr = 66 km / hr [ 66 * 5 / 18 ] m / sec = [ 55 / 3 ] m / sec . time taken to pass the man = [ 165 * 3 / 55 ] sec = 9 sec answer : c\"" + }, + { + "Answer": 125.11373976342128, + "Options": "a ) 125 , b ) 250 , c ) 300 , d ) 330 , e ) none of these", + "Correct": "a", + "Explanation": "\"radius of the wheel of bus = 140 cm . then , circumference of wheel = 2 \u00ef \u20ac r = 280 \u00ef \u20ac = 880 cm distance covered by bus in 1 minute = 66 \u00e2 \u0081 \u201e 60 \u00e3 \u2014 1000 \u00e3 \u2014 100 cms distance covered by one revolution of wheel = circumference of wheel = 880 cm \u00e2 \u02c6 \u00b4 revolutions per minute = 6600000 / 60 \u00e3 \u2014 880 = 125 answer a\"" + }, + { + "Answer": 5, + "Options": "a ) 5 , b ) 5 1 / 2 , c ) 6 , d ) 8 , e ) none of these", + "Correct": "a", + "Explanation": "\"b ' s 10 day ' s work = ( 1 / 15 * 10 ) = 2 / 3 remaining work = ( 1 - 2 / 3 ) = 1 / 3 now , 1 / 18 work is done by a in 1 day 1 / 3 work is done by a in ( 15 * 1 / 3 ) = 5 days . correct option : a\"" + }, + { + "Answer": 120.0096, + "Options": "a ) 400 meters , b ) 120 meters , c ) 1777 meters , d ) 60 meters , e ) none of these", + "Correct": "b", + "Explanation": "\"train overtakes a bike means that we are talking about total length of the train . ( train ' s head is close to bike when it started and its tail crosses the bike when it overtakes the bike ) relative speed = 100 - 64 = 36 km / h = 36000 m / h time = 12 seconds distance = speed * time 36000 * 12 / 3600 = 120 meters . b is the answer .\"" + }, + { + "Answer": 3.36, + "Options": "a ) 2 , b ) 4 / 5 , c ) 7 / 9 , d ) 10 , e ) 84 / 25", + "Correct": "e", + "Explanation": "\"a + b + c 1 day work = 1 / 21 + 1 / 6 + 1 / 12 = 25 / 84 a , b , c together will complete the job in 84 / 25 days answer is e\"" + }, + { + "Answer": 120, + "Options": "a ) 120 , b ) 125 , c ) 110 , d ) 115 , e ) 121", + "Correct": "a", + "Explanation": "\"change 1 hr 30 min to 90 min . for this , we need to set up a simple proportion of pensils per time 40 / 30 = s / 90 the absolutely worst thing you could do at this point in the problem is to cross - multiply . that would be a supremely unstrategic move . instead , cancel before you multiply . for what we can and can \u2019 t cancel in a proportion , seethis post . we can cancel the factor of 10 in the 40 and 30 . 4 / 3 = s / 90 we can cancel the common factor of 3 in the two denominators . 4 / 1 = s / 30 . now that the fraction is entirely simplified , we can cross - multiply . s = 4 * 30 = 120 the machine would be 120 pencils in 1 hr 30 min . answer : a\"" + }, + { + "Answer": 800.064, + "Options": "a ) 400 meters , b ) 1111 meters , c ) 800 meters , d ) 1822 meters , e ) none of these", + "Correct": "c", + "Explanation": "\"train overtakes a bike means that we are talking about total length of the train . ( train ' s head is close to bike when it started and its tail crosses the bike when it overtakes the bike ) relative speed = 100 - 64 = 36 km / h = 36000 m / h time = 80 seconds distance = speed * time 36000 * 80 / 3600 = 800 meters . c is the answer .\"" + }, + { + "Answer": 450, + "Options": "a ) 127 , b ) 237 , c ) 287 , d ) 450 , e ) 281", + "Correct": "d", + "Explanation": "\"explanation : let the required no of hectares be x . then more men , more hectares ( direct proportion ) more days , more hectares ( direct proportion ) men \\ : 8 : 36 \\ \\ days \\ : 24 : 30 \\ end { matrix } \\ right \\ } : 80 : x \\ inline \\ fn _ jvn \\ therefore \\ inline \\ fn _ jvn 8 \\ times 24 \\ times x = 36 \\ times 30 \\ times 80 \\ inline \\ fn _ jvn \\ leftrightarrow \\ inline \\ fn _ jvn x = \\ frac { 36 \\ times 30 \\ times 80 } { 8 \\ times 24 } \\ inline \\ fn _ jvn \\ leftrightarrow x = 450 answer : d\"" + }, + { + "Answer": 14.098872090232781, + "Options": "a ) 14.1 sec , b ) 12.1 sec , c ) 16.1 sec , d ) 13.1 sec , e ) 12.15 sec", + "Correct": "a", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec total distance covered = 150 + 132 = 282 m . required time = 282 / 20 = 14.1 sec . answer : a\"" + }, + { + "Answer": 42.68571428571429, + "Options": "a ) 29 , b ) 23 , c ) 47.119 , d ) 44.586 , e ) 42.686", + "Correct": "e", + "Explanation": "\"speed = 35 km / hr = 35 * ( 5 / 18 ) m / sec = 175 / 18 m / sec total distance = 300 + 115 = 415 meter time = distance / speed = 415 * ( 18 / 175 ) = 42.686 seconds . answer : e\"" + }, + { + "Answer": 369, + "Options": "a ) 287 , b ) 369 , c ) 370 , d ) 371 , e ) 430", + "Correct": "b", + "Explanation": "for the first 9 folders we need 9 stickers . for the next 90 we need 2 stickers each or 180 stickers . for the next 900 folders we need 3 stickers each . the first 99 folders correspond to 189 stickers . subtract 189 from the total number of stickers ( 999 ) . this leaves 810 stickers for folders that use 3 stickers each . so , divide 810 by 3 to get 270 folders . add 99 folders to 270 folders to get the total number of folders , 369 . answer : b" + }, + { + "Answer": 3.696, + "Options": "a ) 3.496 kg , b ) 3.696 kg , c ) 3.690 kg , d ) 9.696 kg , e ) 3.296 kg", + "Correct": "b", + "Explanation": "explanation : external radius = 4 cm , internal radius = 3 cm . volume of iron = = weight of iron = ( 462 x 8 ) gm = 3696 gm = 3.696 kg answer : b ) 3.696 kg" + }, + { + "Answer": 48, + "Options": "a ) 36 , b ) 42 , c ) 48 , d ) 54 , e ) 60", + "Correct": "c", + "Explanation": "\"let v be the speed of the person and let x be the speed of the walkway . 30 ( v + x ) = 90 then 120 ( v + x ) = 360 120 ( v - x ) = 90 when we add the two equations : 240 v = 450 v = 15 / 8 time = 90 / ( 15 / 8 ) = 48 seconds the answer is c .\"" + }, + { + "Answer": 420, + "Options": "a ) 120 , b ) 840 , c ) 350 , d ) 420 , e ) 210", + "Correct": "d", + "Explanation": "\"speed = [ 420 / 30 ] m / sec = 14 m / sec . let the length of the platform be x meters . then , x + 420 / 60 = 14 x + 420 = 840 \u00e8 x = 420 m . answer : d\"" + }, + { + "Answer": 7.999360051195905, + "Options": "a ) 8 sec , b ) 20 / 7 sec , c ) 33 / 7 sec , d ) 21 / 7 sec , e ) 32 / 7 sec", + "Correct": "a", + "Explanation": "\"they are moving in opposite directions , relative speed is equal to the sum of their speeds . relative speed = ( 54 + 36 ) * 5 / 18 = 25 mps . the time required = d / s = 200 / 25 = 8 sec . answer : a\"" + }, + { + "Answer": 20, + "Options": "a ) 6.75 , b ) 7 , c ) 7.25 , d ) 7.5 , e ) 20", + "Correct": "e", + "Explanation": "\"let ' s suppose that speed while returning was xkm / h since the distance is same , we can apply the formula of avg speed avg speed = 2 s 1 s 2 / s 1 + s 2 8 = 2 * 5 * x / 5 + x x = 20 e is the answer\"" + }, + { + "Answer": 5.5551111466638226, + "Options": "a ) 4 sec , b ) 5 sec , c ) 5.55 sec , d ) 6.55 sec , e ) 4.55 sec", + "Correct": "c", + "Explanation": "\"solution speed = ( 162 x 5 / 18 ) m / sec = 45 m / sec time taken = ( 250 / 45 ) sec = 5.55 sec . answer c\"" + }, + { + "Answer": 0.15000000000000002, + "Options": "a ) 1 / 9 , b ) 29 / 180 , c ) 26 / 143 , d ) 3 / 20 , e ) 39 / 121", + "Correct": "d", + "Explanation": "\"50 apprentices can finish the job in 4 hours , thus : 10 apprentices can finish the job in 4 * 5 = 20 hours ; in 1 hour 10 apprentices can finish 1 / 20 of the job . 30 journeymen can finish the same job in 4,5 hours , thus : 15 journeymen can finish the job in 5 * 2 = 10 hours ; in 1 hour 15 journeymen can finish 1 / 10 of the job . therefore , in 1 hour 10 apprentices and 15 journeymen can finish 1 / 20 + 1 / 10 = 3 / 20 of the job . answer : d .\"" + }, + { + "Answer": 7.100121645440779, + "Options": "a ) 7.19 , b ) 7.18 , c ) 7.16 , d ) 7.15 , e ) 7.12", + "Correct": "d", + "Explanation": "\"t = ( 121 + 165 ) / ( 80 + 65 ) * 18 / 5 t = 7.15 answer : d\"" + }, + { + "Answer": 20, + "Options": "a ) 6.33 , b ) 7.5 , c ) 20 , d ) 15 , e ) 19", + "Correct": "c", + "Explanation": "\"if there is one bacteria colony , then it will reach the limit of its habitat in 21 days . if there are two bacteria colonies , then in order to reach the limit of habitat they would need to double one time less than in case with one colony . thus colonies need to double 20 times . answer : c . similar questions to practice : hope it helps .\"" + }, + { + "Answer": 500.0000000000002, + "Options": "a ) s . 375 , b ) s . 400 , c ) s . 500 , d ) s . 800 , e ) s . 850", + "Correct": "c", + "Explanation": "\"c ' s 1 day ' s work = 1 / 3 - ( 1 / 6 + 1 / 8 ) = 1 / 3 - 7 / 24 = 1 / 24 a ' s wages : b ' s wages : c ' s wages = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 c ' s share ( for 3 days ) = rs . ( 3 * 1 / 24 * 4000 ) = rs . 500 answer = c\"" + }, + { + "Answer": 15, + "Options": "a ) 60 , b ) 15 , c ) 40 , d ) 10 , e ) 25", + "Correct": "b", + "Explanation": "\"original number of men = 5 * 60 / ( 60 - 40 ) = 15 answer is b\"" + }, + { + "Answer": 12000, + "Options": "a ) 9000 cubic meters , b ) 10500 cubic meters , c ) 11750 cubic meters , d ) 12000 cubic meters , e ) 12500 cubic meters", + "Correct": "d", + "Explanation": "d . 12000 cubic meters . if both hte valves fill the pool in 48 minutes and valve 1 only fills in 120 minutes then valve 2 alone will fill the pool in ( 48 * 120 ) / ( 120 - 48 ) = 80 minutes . now , if valve 1 admits x cubic meter of water per minute then the capacity of pool will be 120 x and also 80 ( x + 50 ) . or , 120 x = 80 ( x + 50 ) . or x = 100 . hence , the capacity of pool = 120 x = 12000 cubic meters ." + }, + { + "Answer": 0.5, + "Options": "a ) 0.8 , b ) 0.5 , c ) 1.0 , d ) 1.1 , e ) 1.2", + "Correct": "b", + "Explanation": "speed = 90 miles / hr = 44 yard / s distance = 22 yards time = distance / speed = 22 / 44 = 0.5 sec ans - b" + }, + { + "Answer": 8, + "Options": "a ) 2.4 . , b ) 3.6 . , c ) 4.2 . , d ) 8 . , e ) 6.4", + "Correct": "d", + "Explanation": "w = 2 desks t = 2.5 hrs rate of 2 carpenters = 2 \u00d7 r rate = work done / time 2 xr = 2 / 2.5 r = 1 / 2.5 = 2 / 5 ( this is the rate of each carpenter ) work done by 4 carpenters in 5 hrs = 4 \u00d7 rate of each carpenter x time = 4 \u00d7 2 / 5 \u00d7 5 = 8 desks d is the correct answer ." + }, + { + "Answer": 26.666666666666668, + "Options": "a ) 20 km , b ) 40 km , c ) 60 km , d ) 80 km , e ) 26.6 km", + "Correct": "e", + "Explanation": "t = d / s , so 6 = x / 2 * 1 / 5 + x / 2 * 1 / 4 ( because half distance with 5 km / ph , and remaining half with 4 km / hr ) 6 = x ( 18 / 80 ) x = 26.6 km answer : e" + }, + { + "Answer": 272, + "Options": "a ) 272 , b ) 167 , c ) 157 , d ) 352 , e ) 380", + "Correct": "a", + "Explanation": "\"the total number of stations = 17 from 17 stations we have to choose any two stations and the direction of travel ( i . e . , hyderabad to bangalore is different from bangalore to hyderabad ) in 17 p \u2082 ways . 17 p \u2082 = 17 * 16 = 272 . answer : a\"" + }, + { + "Answer": 9, + "Options": "a ) 6.99 , b ) 5.99 , c ) 8.99 , d ) 4.99 , e ) 9.99", + "Correct": "c", + "Explanation": "\"sol . speed = [ 68 x 5 / 18 ] m / sec = 18.9 m / sec . time taken = ( 170 / 18.9 ) sec = 8.99 sec . answer c\"" + }, + { + "Answer": 16.666666666666668, + "Options": "a ) 15.8 , b ) 16.3 , c ) 16.7 , d ) 17.2 , e ) 17.5", + "Correct": "c", + "Explanation": "\"time 1 = 100 / 20 = 5 hours time 2 = 150 / 15 = 10 hours total time = 15 hours average speed = 250 / 15 = 16.7 km / hr the answer is c .\"" + }, + { + "Answer": 0.2222222222222222, + "Options": "a ) 1 / 3 , b ) 2 / 5 , c ) 2 / 7 , d ) 2 / 9 , e ) 3 / 10", + "Correct": "d", + "Explanation": "\"4 / 12 * 2 / 3 = 2 / 9 the answer is d .\"" + }, + { + "Answer": 45, + "Options": "a ) a . 43 , b ) b . 45 , c ) c . 55 , d ) d . 68 , e ) e . 60", + "Correct": "b", + "Explanation": "\"30 workers working already let x be the total men required to finish the task in next 200 days 2.5 km done hence remaining is 12.5 km also , work has to be completed in next 200 days ( 300 - 100 = 200 ) we know that , proportion of men to distance is direct proportion and , proportion of men to days is inverse proportion hence , x = ( 30 * 12.5 * 100 ) / ( 2.5 * 200 ) thus , x = 75 thus , more men needed to finish the task = 75 - 30 = 45 hence answer is b\"" + }, + { + "Answer": 9.99920006399488, + "Options": "a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", + "Correct": "c", + "Explanation": "\"speed of the boat downstream = 30 + 6 = 36 kmph = 36 * 5 / 18 = 10 m / s hence time taken to cover 100 m = 100 / 10 = 10 seconds . answer : c\"" + }, + { + "Answer": 4.5, + "Options": "a ) 3.5 , b ) 4.5 , c ) 5.5 , d ) 6.5 , e ) 7.5", + "Correct": "b", + "Explanation": "\"the speed of the train relative to the man = 80 + 8 = 88 km / h . 88000 m / h * 1 h / 3600 s = ( 880 / 36 ) m / s ( 110 m ) / ( 880 / 36 m / s ) = ( 110 * 36 ) / 880 = 36 / 8 = 4.5 seconds the answer is b .\"" + }, + { + "Answer": 36, + "Options": "a ) 23 days , b ) 36 days , c ) 22 days , d ) 29 days , e ) 20 days", + "Correct": "b", + "Explanation": "\"b 36 days 18 * 30 = 15 * x = > x = 36 days\"" + }, + { + "Answer": 169, + "Options": "a ) 126 , b ) 136 , c ) 146 , d ) 156 , e ) 169", + "Correct": "e", + "Explanation": "reciprocal of the hcf and lcm of two are 1 / 13 and 1 / 312 so , hcf = 13 , lcm = 312 lcm * hcf = product of two numbers = a * b = > b = lcm * hcf / a so , other = 13 * 312 / 24 = 169 answer : e" + }, + { + "Answer": 792, + "Options": "a ) 252 kms , b ) 152 kms , c ) 552 kms , d ) 792 kms , e ) 152 kms", + "Correct": "d", + "Explanation": "\"explanation : total distance travelled in 12 hours = ( 55 + 57 + 59 + . . . . . upto 12 terms ) this is an a . p with first term , a = 55 , number of terms , n = 12 , d = 2 . required distance = 12 / 2 [ 2 x 55 + { 12 - 1 ) x 2 ] = 6 ( 132 ) = 792 kms . answer : d\"" + }, + { + "Answer": 90, + "Options": "a ) 87 kmph , b ) 97 kmph , c ) 72 kmph , d ) 90 kmph , e ) 19 kmph", + "Correct": "d", + "Explanation": "\"length = speed * time speed = l / t s = 500 / 20 s = 25 m / sec speed = 25 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 90 kmph answer : d\"" + }, + { + "Answer": 396.78, + "Options": "a ) 287 , b ) 298 , c ) 396 , d ) 726 , e ) 267", + "Correct": "c", + "Explanation": "\"d = 102 * 5 / 18 = 50 = 1416 \u00e2 \u20ac \u201c 1020 = 396 answer : c\"" + }, + { + "Answer": 132.6554877278726, + "Options": "a ) 134.8 feet , b ) 136.2 feet , c ) 132.7 feet , d ) 132.2 feet , e ) 115.3 feet", + "Correct": "c", + "Explanation": "let t 1 be the time it takes the rock to reach the bottom of the well . if h is the height of the well , we can write h = 16 t 1 2 let t 2 be the time it takes sound wave to reach the top of the well . we can write h = 1100 t 2 the relationship between t 1 and t 2 is t 1 + t 2 = 3 eliminate h and combine the equations h = 16 t 1 2 and h = 1100 t 2 to obtain 16 t 1 2 = 1100 t 2 we now substitute t 2 by 3 - t 1 in the above equation 16 t 1 2 = 1100 ( 3 - t 1 ) the above is a quadratic equation that may be written as 16 t 1 2 + 1100 t 1 - 3300 = 0 the above equations has two solutions and only one of them is positive and is given by t 1 = 2.88 seconds ( 2 decimal places ) we now calculate the height h of the well h = 16 t 1 2 = 16 ( 2.88 ) 2 = 132.7 feet answer c" + }, + { + "Answer": 10.434782608695652, + "Options": "a ) 13 sec . , b ) 10.4 sec . , c ) 12 sec . , d ) 17 sec . , e ) 19 sec .", + "Correct": "b", + "Explanation": "speed of the first bullet train = 120 / 8 m / sec = 15 m / sec . speed of the second bullet train = 120 / 15 m / sec = 8 m / sec . relative speed = ( 15 + 8 ) = 23 m / sec . required time = ( 120 + 120 ) / 23 sec = 10.4 sec . b" + }, + { + "Answer": 7.199424046076314, + "Options": "a ) 7.2 , b ) 7.85 , c ) 6.85 , d ) 5.85 , e ) 6.15", + "Correct": "a", + "Explanation": "\"t = ( 110 + 180 ) / ( 80 + 65 ) * 18 / 5 t = 7.20 answer : a\"" + }, + { + "Answer": 35, + "Options": "a ) 45 minutes , b ) 55 minutes , c ) 35 minutes , d ) 25 minutes , e ) 40 minutes", + "Correct": "c", + "Explanation": "\"there are 7 hours in between 11 a . m . to 6 p . m . 7 * 5 = 35 minutes . answer : c\"" + }, + { + "Answer": 5, + "Options": "a ) 3 , b ) 5 , c ) 6 , d ) 4 , e ) 8", + "Correct": "b", + "Explanation": "\"18 - - - 3 ds = 6 ? - - - - 1 12 - - - - 3 us = 4 ? - - - - 1 m = ? m = ( 6 + 4 ) / 2 = 5 answer : b\"" + }, + { + "Answer": 36, + "Options": "a ) 24 , b ) 34 , c ) 36 , d ) 54 , e ) 64", + "Correct": "c", + "Explanation": "the product of two integers is equal to the product of their lcm and gcf . hence . 12 \u00d7 n = 54 \u00d7 8 n = 54 \u00d7 8 / 12 = 36 correct answer c" + }, + { + "Answer": 2, + "Options": "a ) 11 : 5 , b ) 11 : 8 , c ) 2 : 1 , d ) 15 : 7 , e ) 16 : 9", + "Correct": "c", + "Explanation": "\"sol . distance travelled by car a = 80 \u00d7 5 = 400 km distance travelled by car b = 100 \u00d7 2 = 200 km ratio = 400 / 200 = 2 : 1 answer : c\"" + }, + { + "Answer": 96, + "Options": "a ) 77 kmph , b ) 95 kmph , c ) 94 kmph , d ) 98 kmph , e ) 96 kmph", + "Correct": "e", + "Explanation": "\"s = 320 / 12 * 18 / 5 = 96 kmph answer : e\"" + }, + { + "Answer": 48, + "Options": "a ) 48 , b ) 47 , c ) 58 , d ) 56 , e ) 54", + "Correct": "a", + "Explanation": "\"cloth bought by john = 9.25 m cost of 9.25 m = $ 444 cost per metre = 444 \u00f7 9.25 the cost of the cloth per metre = $ 48 answers : a\"" + }, + { + "Answer": 2.5, + "Options": "a ) 0.5 , b ) 1.5 , c ) 2.5 , d ) 3.5 , e ) 4.5", + "Correct": "c", + "Explanation": "81 - - - 9 ds = 9 ? - - - - 1 36 - - - - 9 us = 4 ? - - - - 1 s = ? s = ( 9 - 4 ) / 2 = 2.5 answer : c" + }, + { + "Answer": 18, + "Options": "a ) 22 seconds , b ) 12 seconds , c ) 10 seconds , d ) 18 seconds , e ) 28 seconds", + "Correct": "d", + "Explanation": "\"b runs 56 m in 7 sec . = > b runs 200 m in 7 / 56 * 200 = 25 seconds since a beats b by 7 seconds , a runs 200 m in ( 25 - 7 ) = 18 seconds hence , a ' s time over the course = 18 seconds answer : d\"" + }, + { + "Answer": 20, + "Options": "a ) 20 kmph , b ) 22 kmph , c ) 24 kmph , d ) 26 kmph , e ) 28 kmph", + "Correct": "a", + "Explanation": "\"pony take 7 hours and horse take 4 hours . . . then distance chased by them is 35 * 4 . so speed of pony is ( 35 * 4 ) / 7 = 20 kmph . answer : a\"" + }, + { + "Answer": 42, + "Options": "a ) 35 , b ) 38 , c ) 40 , d ) 42 , e ) 44", + "Correct": "d", + "Explanation": "\"explanation : let the number of correct answers be x . number of incorrect answers = ( 60 \u2013 x ) . 4 x \u2013 ( 60 \u2013 x ) = 150 = > 5 x = 210 = > x = 42 answer : d\"" + }, + { + "Answer": 6, + "Options": "a ) 7 days , b ) 14 days , c ) 6 days , d ) 8 days , e ) 9 days", + "Correct": "c", + "Explanation": "\"explanation : 16 boys = 24 girls , 1 boy = 24 / 16 girls 1 boy = 6 / 4 girls 8 boys + 12 girls = 8 \u00d7 6 / 4 + 12 = 12 + 12 = 24 girls 6 days to complete the work answer : option c\"" + }, + { + "Answer": 240, + "Options": "a ) 80 , b ) 100 , c ) 150 , d ) 240 , e ) 300", + "Correct": "d", + "Explanation": "\"since the population increases at the rate of 1 person every 15 seconds , it increases by 4 people every 60 seconds , that is , by 4 people every minute . thus , in 60 minutes the population increases by 60 x 4 = 240 people . answer . d .\"" + }, + { + "Answer": 12, + "Options": "a ) 6 days , b ) 10 days , c ) 12 days , d ) 15 days , e ) 20 days", + "Correct": "c", + "Explanation": "1 / 3 rd work finished in 6 days 2 / 3 rd work = 2 / 3 * 3 * 6 = 12 days answer is c" + }, + { + "Answer": 19, + "Options": "a ) 10 , b ) 12 , c ) 19 , d ) 15 , e ) 16", + "Correct": "c", + "Explanation": "3 consecutive numbers can be a - 1 , a , a + 1 so sum of numbers = 3 a = 57 . hence a = 19 . c" + }, + { + "Answer": 20, + "Options": "a ) 10 , b ) 12 , c ) 15 , d ) 20 , e ) 25", + "Correct": "d", + "Explanation": "\"gear q makes 30 more revolutions each 60 seconds . the time to make 10 = 30 / 3 more revolutions is 60 / 3 = 20 seconds . the answer is d .\"" + }, + { + "Answer": 9, + "Options": "a ) 6 , b ) 7 , c ) 9 , d ) 12 , e ) 16", + "Correct": "c", + "Explanation": "every two days , the net total is $ 6 . after 8 days , the worker will have $ 24 . on day 9 , the worker will receive $ 24 for a net total of $ 48 . the answer is c ." + }, + { + "Answer": 44.25, + "Options": "a ) 25 kms , b ) 10 kms , c ) 50 kms , d ) 30 kms , e ) 44 kms", + "Correct": "e", + "Explanation": "\"total eastward distance = 24 kmph * 3 / 4 hr = 18 km total westward distance = 35 kmph * 3 / 4 hr = 26 km total distn betn them = 18 + 26 = 44 km ans 44 km answer : e\"" + }, + { + "Answer": 375.03, + "Options": "a ) 275 m , b ) 360 m , c ) 375 m , d ) 420 m , e ) 480 m", + "Correct": "c", + "Explanation": "\"the distance traveled in 30 sec = 45 * ( 5 / 18 ) * 30 = 375 m answer : c\"" + }, + { + "Answer": 11.52, + "Options": "a ) 15 kmph , b ) 18 kmph , c ) 14.25 kmph , d ) 11.52 kmph , e ) 16 kmph", + "Correct": "d", + "Explanation": "= 4 x / ( x / 6 + x / 12 + x / 18 + x / 24 ) = 11.52 answer : d" + }, + { + "Answer": 2.857142857142857, + "Options": "a ) 20 / 7 , b ) 4 / 3 , c ) 15 / 8 , d ) 9 / 4 , e ) 15 / 4", + "Correct": "a", + "Explanation": "\"( 1 / 2 + 1 / 5 ) t = 2 t = 20 / 7 answer : a\"" + }, + { + "Answer": 40, + "Options": "a ) 50 , b ) 40 , c ) 35 , d ) 10 , e ) 90", + "Correct": "b", + "Explanation": "the proportion equation can be used . let x = number cars and c = least number of cars per day the 2 men can finish ( c = x / ( 8 hours ) , p = cars per hour paul can change , and j = cars per hour jack can change . note : 8 hours = a work day p + j = c ( 2 cars / hour ) + ( 3 cars / hour ) = x / ( 8 hours ) proportion : 2 / 1 + 3 / 1 / = x / 300 x = 8 ( 2 + 3 ) = 40 . at least 40 cars per work day . answer is b" + }, + { + "Answer": 293.3333333333333, + "Options": "a ) 292 ft , b ) 293.4 ft , c ) 295 ft , d ) 296 ft , e ) 297 ft", + "Correct": "b", + "Explanation": "per second = > 10 * 5280 ft / 60 * 60 = 14.67 ft 20 seconds = > 14.67 * 20 = 293.4 ft answer : b" + }, + { + "Answer": 18, + "Options": "a ) 12 , b ) 24 , c ) 18 , d ) 42 , e ) 64", + "Correct": "c", + "Explanation": "distance = 600 meter time = 2 minutes = 2 x 60 seconds = 120 seconds speed = distance / time = 600 / 120 = 5 m / s = 5 \u00e3 \u2014 18 / 5 km / hr = 18 km / hr answer : c" + }, + { + "Answer": 2.9997600191984644, + "Options": "a ) 5 sec , b ) 4 sec , c ) 3 sec , d ) 6 sec , e ) 1 sec", + "Correct": "c", + "Explanation": "\"t = 30 / 36 * 18 / 5 = 3 sec answer : c\"" + }, + { + "Answer": 14.285714285714285, + "Options": "a ) 24.28 , b ) 14.28 , c ) 16.28 , d ) 18.28 , e ) 12.28", + "Correct": "b", + "Explanation": "1 : 2 / 5 = 5 : 2 2 / 7 * 50 = 14.28 answer : b" + }, + { + "Answer": 11.91, + "Options": "a ) 12.91 m , b ) 11.91 m , c ) 12.5 m , d ) 10.91 m , e ) 13.91 m", + "Correct": "b", + "Explanation": "distance rose ran before completion of race - - - 100 m - 0.75 m = 99.25 m distance gained on diane over 99.25 m - - - 7 m - 0.75 m = 6.25 then rose gains 99.25 / 6.25 m = 1 m on kelly every 15.88 meters . therefore 15.88 divided by 0.75 of 1 meter . answer : b . 11.91 m" + }, + { + "Answer": 1.1111111111111112, + "Options": "a ) 1 hour , b ) 1.2 hour , c ) 3 hours , d ) 5 hours , e ) 1.1 hours", + "Correct": "e", + "Explanation": "\"the tricky part here , i believed is one half hour = 1 / 2 . then everything would be easy . we have the 1 st pump working rate / hour = 1 / 2 : 5 = 1 / 10 working rate of 2 pumps : 1 / 2 : 1 / 2 = 1 . working rate of 2 nd pump : 1 - 1 / 10 = 9 / 10 - - > time taken for the 2 nd pump to finish : 1 : 9 / 10 = 10 / 9 = 1.1 hours . e\"" + }, + { + "Answer": 17.999999999999996, + "Options": "a ) 18 days , b ) 24 days , c ) 30 days , d ) 36 days , e ) 35 days", + "Correct": "a", + "Explanation": "explanation : 2 ( a + b + c ) ' s 1 day ' s work = ( 1 / 30 + 1 / 24 + 1 / 20 ) = 15 / 120 = 1 / 8 work done by a , b , c in 10 days = 10 / 6 = 5 / 8 . a ' s 1 day ' s work = ( 1 / 16 - 1 / 24 ) = 1 / 48 now , 1 / 48 work is done by a in 1 day so , 3 / 8 work will be done by a in ( 48 x 3 / 8 ) = 18 days . answer is a" + }, + { + "Answer": 15.000000000000004, + "Options": "a ) 10 days , b ) 11 days , c ) 15 days , d ) 20 days , e ) none of these", + "Correct": "c", + "Explanation": "b ' s 1 day ' s work = ( 1 / 12 - 1 / 20 ) = 2 / 60 = 1 / 30 now , ( a + b ) ' s 1 day ' s work = ( 1 / 20 + 1 / 60 ) = 4 / 60 = 1 / 15 so , a and b together will complete the work in 15 days . correct option : c" + }, + { + "Answer": 200, + "Options": "a ) 200 , b ) 400 , c ) 350 , d ) 1800 , e ) 45", + "Correct": "a", + "Explanation": "\"speed = [ 400 / 30 ] m / sec = 40 / 3 m / sec . let the length of the platform be x meters . then , x + 400 / 45 = 40 / 3 3 ( x + 400 ) = 1800 \u00e8 x = 200 m . answer : a\"" + }, + { + "Answer": 3.000000000000001, + "Options": "a ) 3 km , b ) 4 km , c ) 6 km , d ) 9 km , e ) 5 km", + "Correct": "a", + "Explanation": "explanation : let the distance be 3 x km , then , x / 3 + x / 4 + x / 5 = 47 / 60 47 x / 60 = 47 / 60 x = 1 so total distance = 3 * 1 = 3 km option a" + }, + { + "Answer": 50, + "Options": "a ) 60 , b ) 50 , c ) 75 , d ) 100 , e ) 120", + "Correct": "b", + "Explanation": "\": speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 3 = 50 meter answer : b\"" + }, + { + "Answer": 1.5, + "Options": "a ) 1 , b ) 1.2 , c ) 1.25 , d ) 1.35 , e ) 1.5", + "Correct": "e", + "Explanation": "\"as cars are moving in opposite directions their speeds will be added . so their relative speeds : 16 + 14 = 30 mph total distance to be covered = 45 miles . time taken would be : 45 miles / 30 mph = 1.5 hours e is the answer .\"" + }, + { + "Answer": 120, + "Options": "a ) 130 miles . , b ) 135 miles . , c ) 145 miles . , d ) 120 miles . , e ) 165 miles .", + "Correct": "d", + "Explanation": "\"tim and elan will meet at the same time while their ratio of speed is 2 : 1 respectively . so their individual distance traveled ratio will be same . plugging in the answer choice only answer choice d meet the 2 : 1 ( tim : elan = 120 : 60 ) ratio of maintaining total distance traveled 180 miles socorrect answer d\"" + }, + { + "Answer": 21.998240140788738, + "Options": "a ) 22 sec , b ) 27 sec , c ) 25 sec , d ) 24 sec , e ) 11 sec", + "Correct": "a", + "Explanation": "\"explanation : d = 100 + 120 = 220 s = 36 * 5 / 18 = 10 mps t = 250 / 10 = 22 sec answer : option a\"" + }, + { + "Answer": 4.75, + "Options": "a ) 3.5 gallons , b ) 2.7 gallons , c ) 5.7 gallons , d ) 4.75 gallons , e ) 7.5 gallons", + "Correct": "d", + "Explanation": "\"each 40 kilometers , 1 gallon is needed . we need to know how many 40 kilometers are there in 190 kilometers ? 190 \u00e3 \u00b7 40 = 4.75 \u00e3 \u2014 1 gallon = 4.75 gallons correct answer is d ) 4.75 gallons\"" + }, + { + "Answer": 4.800000000000001, + "Options": "a ) 4.8 hr , b ) 2.4 hr , c ) 3.6 hr , d ) 1.8 hr , e ) 2.0 hr", + "Correct": "a", + "Explanation": "explanation : part filled by one tap in 1 hour = 1 / 4 part emptied by second tap 1 hour = 1 / 8 net part filled by both these taps in 1 hour = 1 / 3 - 1 / 8 = 5 / 24 i . e , the cistern gets filled in 24 / 5 hours = 4.8 hrs answer : option a" + }, + { + "Answer": 302.3622047244094, + "Options": "a ) 174.2 , b ) 212 , c ) 288.1 , d ) 296 , e ) 302", + "Correct": "e", + "Explanation": "\"1.5 inch = 2.54 * 1.5 cm . so , 2.54 * 1.5 represents 24 miles . so for 48 cm . : 48 / ( 2.54 * 1.5 ) = x / 24 - - - > x = 24 * 47 / ( 3.81 ) = 302 answer will be e .\"" + }, + { + "Answer": 0.16666666666666666, + "Options": "a ) 2 / 3 , b ) 3 / 7 , c ) 4 / 9 , d ) 1 / 6 , e ) 4 / 7", + "Correct": "d", + "Explanation": "\"1 / 4 - - - - 12 ? - - - - - 8 = = > 1 / 6 d\"" + }, + { + "Answer": 8, + "Options": "a ) 5 min , b ) 6 min , c ) 7 min , d ) 8 min , e ) 9 min", + "Correct": "d", + "Explanation": "there are equal no . of monkeys and equal no . of bananas and they take equal time and the time is 8 mint to eat a banana so each monkey take 8 mints to eat a banana ' s so 3 monkeys will take 8 mints to eat 3 banana ' s . answer : d" + }, + { + "Answer": 333.33333333333337, + "Options": "a ) 288 , b ) 350 , c ) 889 , d ) 276 , e ) 333", + "Correct": "e", + "Explanation": "\"speed = 300 / 18 = 50 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 38 = 50 / 3 3 x + 900 = 1900 = > x = 333 m . answer : e\"" + }, + { + "Answer": 18.460061656605934, + "Options": "a ) 18.4 sec , b ) 77 sec , c ) 76 sec , d ) 20 sec , e ) 66 sec", + "Correct": "a", + "Explanation": "\"relative speed = ( 42 + 36 ) * 5 / 18 = 21.7 mps . distance covered in passing each other = 120 + 280 = 400 m . the time required = d / s = 400 / 21.7 = 18.4 sec . answer : a\"" + }, + { + "Answer": 26, + "Options": "a ) 23 , b ) 25 , c ) 26 , d ) 28 , e ) 30", + "Correct": "c", + "Explanation": "explanation : let 3 engines of former type consume 1 unit in 1 hour . then , 4 engines of latter type consume 1 unit in 1 hour . therefore 1 engine of former type consumes ( 1 / 3 ) unit in 1 hour . 1 engine of latter type consumes ( 1 / 4 ) unit in 1 hour . let the required consumption of coal be x units . less engines , less coal consumed ( direct proportion ) more working hours , more coal consumed ( direct proportion ) less rate of consumption , less coal consumed ( direct proportion ) number of engines 9 : 8 working hours 8 : 13 } : : 24 : x rate of consumption ( 1 / 3 ) : ( 1 / 4 ) ( 9 * 8 * ( 1 / 3 ) * x ) = ( 8 * 13 * ( 1 / 4 ) * 24 ) < = > 24 x = 624 < = > x = 26 . answer : c" + }, + { + "Answer": 20, + "Options": "a ) 16 , b ) 18 , c ) 20 , d ) 21 , e ) 24", + "Correct": "c", + "Explanation": "40 printing presses can do 1 / 15 of the job each hour . 30 printing presses can do 3 / 4 * 1 / 15 = 1 / 20 of the job each hour . the answer is c ." + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 18 , c ) 6 , d ) 1 , e ) 17", + "Correct": "a", + "Explanation": "explanation : more number of days means \u2013 more length , more depth and more width . hence , it \u2019 s a direct proportion . ( 100 * 25 * 30 ) : ( 75 * 20 * 50 ) : : 12 : x 75000 : 75000 : : 12 : x x = 12 answer a" + }, + { + "Answer": 200, + "Options": "a ) 170 , b ) 180 , c ) 190 , d ) 200 , e ) 210", + "Correct": "d", + "Explanation": "\"we have , m 1 d 1 = m 2 d 2 2400 * 100 = 1200 * d 2 d 2 = 2400 * 100 / 1200 = 200 days . answer : d\"" + }, + { + "Answer": 5, + "Options": "a ) 3.3 pm , b ) 5.5 pm , c ) 4.9 pm , d ) 5 pm , e ) 5.2 pm", + "Correct": "d", + "Explanation": "let the thief is overtaken x hrs after 2.30 pm distance covered by the thief in x hrs = distance covered by the owner in x - 1 / 2 hr 60 x = 75 ( x - \u00bd ) x = 5 / 2 hr thief is overtaken at 2.30 pm + 2 \u00bd hr = 5 pm answer is d ." + }, + { + "Answer": 12, + "Options": "a ) 4 , b ) 8 , c ) 12 , d ) 15 , e ) 20", + "Correct": "c", + "Explanation": "\"i understand this might not be required but i used the equation of a circle . since the origin is at 0 , x ^ 2 + y ^ 2 = 5 ^ 2 . x , y could be + / - ( 0,5 or 5,0 ) - 4 possibilities . x , y could be + / - ( 3,4 or 4,3 ) - 8 possibilities . ans : m = c\"" + }, + { + "Answer": 8, + "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", + "Correct": "d", + "Explanation": "\"dan can complete 1 / 15 of the job per hour . in 3 hours , dan completes 3 ( 1 / 15 ) = 1 / 5 of the job . annie can complete 1 / 10 of the job per hour . to complete the job , annie will take 4 / 5 / 1 / 10 = 8 hours . the answer is d .\"" + }, + { + "Answer": 60, + "Options": "a ) 1 , b ) 3.5 , c ) 20 , d ) 49 , e ) 60", + "Correct": "e", + "Explanation": "\"explanation : let the required number days be x . less honey bees , more days ( indirect proportion ) less honey , less days ( direct proportion ) honey bees 1 : 60 : : 60 : x honey 60 : 1 = > 1 x 60 x x = 60 x 1 x 60 = > x = 60 . answer : e\"" + }, + { + "Answer": 43.996480281577476, + "Options": "a ) 40 , b ) 44 , c ) 48 , d ) 52 , e ) 56", + "Correct": "b", + "Explanation": "\"the speed of the boat downstream = 6 + 3 = 9 km / hr 9 km / hr * 5 / 18 = 2.5 m / s the time taken to cover 110 meters = 110 / 2.5 = 44 seconds . the answer is b .\"" + }, + { + "Answer": 36, + "Options": "a ) 30 , b ) 36 , c ) 60 , d ) data inadequate , e ) none of these", + "Correct": "b", + "Explanation": "\"capacity of the tank = 24 \u00e3 \u2014 13.5 = 324 litres when the capacity of each bucket = 9 litres , then the required no . of buckets = 324 \u00e2 \u0081 \u201e 9 = 36 answer b\"" + }, + { + "Answer": 53.99568034557235, + "Options": "a ) 25 , b ) 30 , c ) 40 , d ) 45 , e ) 54", + "Correct": "e", + "Explanation": "\"relative speed of the train = 63 - 3 = 60 kmph = 60 * 5 / 18 = 50 / 3 m / sec t = 900 * 3 / 50 = 54 sec answer : e\"" + }, + { + "Answer": 12, + "Options": "a ) 12 kmph , b ) 13 kmph , c ) 14 kmph , d ) 15 kmph , e ) 16 kmph", + "Correct": "a", + "Explanation": "\"the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 36 / 3 = 12 kmph . answer : a\"" + }, + { + "Answer": 78.53981633974483, + "Options": "a ) 78.24 square meter , b ) 78.57 square meter , c ) 78.26 square meter , d ) 24.24 square meter , e ) 24.43 square meter", + "Correct": "b", + "Explanation": "\"diameter = 10 meter . radius = diameter / 2 . = 10 / 2 . = 5 meter . area of a circle = \u00ef \u20ac r 2 . here , pi ( \u00ef \u20ac ) = 3.14 meter , radius ( r ) = 5 . area of a circle = 3.14 \u00e3 \u2014 5 \u00e3 \u2014 5 . . = 3.14 \u00e3 \u2014 25 . = 78.57 square meter answer : b\"" + }, + { + "Answer": 0.4444444444444444, + "Options": "a ) 5 / 3 , b ) 1 / 3 , c ) 7 / 3 , d ) 4 / 9 , e ) 3 / 5", + "Correct": "d", + "Explanation": "let the time when all three were working together be t hours . then : tom worked for t + 4 hour and has done 1 / 12 * ( t + 4 ) part of the job ; peter worked for t + 2 hour and has done 1 / 6 * ( t + 2 ) part of the job ; john worked for t hours and has done 1 / 2 * t part of the job : 1 / 12 * ( t + 4 ) + 1 / 6 * ( t + 2 ) + 1 / 2 * t = 1 - - > multiply by 12 - - > ( t + 4 ) + ( 2 t + 2 ) + 6 t = 12 - - > t = 2 / 3 ; hence peter has done 1 / 6 * ( 2 / 3 + 2 ) = 1 / 6 * 8 / 3 = 8 / 18 = 4 / 9 answer : d" + }, + { + "Answer": 19.99840012798976, + "Options": "a ) 16 seconds , b ) 20 seconds , c ) 14 seconds , d ) 12 seconds , e ) 15 seconds", + "Correct": "b", + "Explanation": "\"speed of the boat downstream = 15 + 3 = 18 kmph = 18 * 5 / 18 = 5 m / s hence time taken to cover 100 m = 100 / 5 = 20 seconds . answer : b\"" + }, + { + "Answer": 160, + "Options": "a ) 160 , b ) 787 , c ) 144 , d ) 128 , e ) 121", + "Correct": "a", + "Explanation": "let the slower pipe alone fill the tank in x min . then , faster pipe will fill it in x / 3 min . 1 / x + 3 / x = 1 / 40 4 / x = 1 / 40 = > x = 160 min . answer : a" + }, + { + "Answer": 12.00000000000001, + "Options": "a ) 1.4 % , b ) 5.9 % , c ) 12 % , d ) 12.5 % , e ) 23.6 %", + "Correct": "c", + "Explanation": "\"opening = 25 closing = 28 rise in price = 3 so , percent increase = 3 / 25 * 100 = 12 answer : c\"" + }, + { + "Answer": 300.024, + "Options": "a ) 280 meter , b ) 240 meter , c ) 200 meter , d ) 300 meter , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : speed of the train = 54 km / hr = ( 54 \u00d7 10 ) / 40 m / s = 15 m / s length of the train = speed \u00d7 time taken to cross the man = 15 \u00d7 20 = 300 m let the length of the platform = l time taken to cross the platform = ( 300 + l ) / 15 = > ( 300 + l ) / 15 = 40 = > 300 + l = 15 \u00d7 40 = 600 = > l = 600 - 300 = 300 meter answer : option d\"" + }, + { + "Answer": 300, + "Options": "a ) 250 , b ) 300 , c ) 350 , d ) 400 , e ) 450", + "Correct": "b", + "Explanation": "\"speed = ( 40 * 5 / 18 ) m / sec = ( 100 / 9 ) m / sec length of the train = ( speed x time ) = ( 100 / 9 * 29 ) m = 300 m . answer : b\"" + }, + { + "Answer": 96, + "Options": "a ) 90 , b ) 60 , c ) 96 , d ) 80 , e ) 72", + "Correct": "c", + "Explanation": "\"4 * 4 * 6 = 96 answer : c\"" + }, + { + "Answer": 112, + "Options": "a ) 96 , b ) 112 , c ) 158 , d ) 192 , e ) 235", + "Correct": "b", + "Explanation": "the sum of the odd numbers from - 23 to + 23 is 0 . let ' s add the remaining numbers . 25 + 27 + 29 + 31 = 112 the answer is b ." + }, + { + "Answer": 92, + "Options": "a ) 77 sec , b ) 92 sec , c ) 67 sec , d ) 16 sec , e ) 76 sec", + "Correct": "b", + "Explanation": "time taken by b run 1000 meters = ( 1000 * 8 ) / 80 = 100 sec . time taken by a = 100 - 8 = 92 sec . answer : b" + }, + { + "Answer": 190, + "Options": "a ) 100 m , b ) 120 m , c ) 190 m , d ) 150 m , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : solution : relative speed = ( 9 - 8 ) = 1 km / hr . distance covered in 3 minutes = ( 1 * 3 / 60 ) km = 1 / 20 km = 50 m . . ' . distance between the criminal and policeman = ( 240 - 50 ) m = 190 m . answer : c\"" + }, + { + "Answer": 24, + "Options": "a ) 16 , b ) 24 , c ) 36 , d ) 48 , e ) 49", + "Correct": "b", + "Explanation": "explanation : 1 man \u2019 s 1 day work = 1 / 384 1 woman \u2019 s 1 day work = 1 / 768 work done in 12 days = 12 ( 16 / 384 + 16 / 768 ) = 12 * 3 / 48 = 3 / 4 remaining work = 1 / 4 ( 16 men + 16 women ) \u2019 s 2 day work = 2 ( 16 / 384 + 16 / 768 ) = 1 / 8 remaining work = 1 / 4 - 1 / 8 = 1 / 8 1 / 384 work is done in 1 day by 1 man 1 / 8 work will be done in 2 days by 384 x 1 / 8 x 1 / 2 = 24 men answer : option b" + }, + { + "Answer": 60, + "Options": "a ) 60 , b ) 50 , c ) 40 , d ) 100 , e ) 25", + "Correct": "a", + "Explanation": "\"original number of men = 10 * 60 / ( 60 - 50 ) = 60 answer is a\"" + }, + { + "Answer": 5, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", + "Correct": "d", + "Explanation": "\"54 - - - 6 ds = 9 ? - - - - 1 6 - - - - 6 us = 1 ? - - - - 1 m = ? m = ( 9 + 1 ) / 2 = 5 answer : d\"" + }, + { + "Answer": 260, + "Options": "a ) 278 , b ) 166 , c ) 151 , d ) 260 , e ) 109", + "Correct": "d", + "Explanation": "speed = 72 * 5 / 18 = 20 m / sec . time = 26 sec . let the length of the train be x meters . then , ( x + 260 ) / 26 = 20 x = 260 m . answer : d" + }, + { + "Answer": 52.8, + "Options": "a ) 52.7 m 2 , b ) 57.8 m 2 , c ) 52.8 metre sq , d ) 72.8 m 2 , e ) 52.8 m 2", + "Correct": "c", + "Explanation": "42 / 360 * 22 / 7 * 12 * 12 = 52.8 m 2 answer : c" + }, + { + "Answer": 127.5, + "Options": "a ) 125.5 meters , b ) 126.5 meters , c ) 127.5 meters , d ) 128.5 meters , e ) none of these", + "Correct": "c", + "Explanation": "explanation : when a runs 1000 meters , b runs 900 meters and when b runs 800 meters , c runs 700 meters . therefore , when b runs 900 meters , the distance that c runs = ( 900 x 700 ) / 800 = 6300 / 8 = 787.5 meters . so , in a race of 1000 meters , a beats c by ( 1000 - 787.5 ) = 212.5 meters to c . so , in a race of 600 meters , the number of meters by which a beats c = ( 600 x 212.5 ) / 1000 = 127.5 meters . answer : c" + }, + { + "Answer": 62, + "Options": "a ) 62 kmph , b ) 58 kmph , c ) 52 kmph , d ) 50 kmph , e ) none of these", + "Correct": "a", + "Explanation": "\"relative speed = ( 280 \u2044 9 ) m / sec = ( 280 \u2044 9 \u00d7 18 \u2044 5 ) kmph = 112 kmph . \u2234 speed of goods train = ( 112 \u2013 50 ) kmph = 62 kmph . answer a\"" + }, + { + "Answer": 8.571428571428571, + "Options": "a ) 300 / 31 , b ) 300 / 35 , c ) 300 / 21 , d ) 300 / 15 , e ) 300 / 20", + "Correct": "b", + "Explanation": "person ( a ) ( b ) ( a + b ) time - ( 15 ) ( 20 ) ( 300 / 35 ) rate - ( 20 ) ( 15 ) ( 35 ) work - ( 300 ) ( 300 ) ( 300 ) therefore a + b requires ( 300 / 35 ) days to complete entire work = 300 / 35 answer is b" + }, + { + "Answer": 70, + "Options": "a ) 70 , b ) 75 , c ) 88 , d ) 54 , e ) 15", + "Correct": "a", + "Explanation": "\"s = ( 90 + 50 ) / 2 = 70 kmph answer : a\"" + }, + { + "Answer": 52.5, + "Options": "a ) a . 43 , b ) b . 53 , c ) c . 55 , d ) d . 68 , e ) e . 60", + "Correct": "b", + "Explanation": "\"35 workers working already let x be the total men required to finish the task in next 200 days 2.5 km done hence remaining is 12.5 km also , work has to be completed in next 200 days ( 300 - 100 = 200 ) we know that , proportion of men to distance is direct proportion and , proportion of men to days is inverse proportion hence , x = ( 35 * 12.5 * 100 ) / ( 2.5 * 200 ) thus , x = 87.5 that is approximately 88 thus , more men needed to finish the task = 88 - 35 = 53 hence answer is b\"" + }, + { + "Answer": 15, + "Options": "a ) 17 , b ) 12 , c ) 15 , d ) 13 , e ) 11", + "Correct": "c", + "Explanation": "\"hcf x lcm = product of numbers 3 x 60 = 12 x the other number other number = ( 3 x 60 ) / 12 other number = 15 answer : c\"" + }, + { + "Answer": 6, + "Options": "a ) 4 kmph , b ) 5 kmph , c ) 6 kmph , d ) 7 kmph , e ) 8 kmph", + "Correct": "c", + "Explanation": "\"x = the speed of the stream ( 18 + x ) / ( 18 - x ) = 2 / 1 18 + x = 36 - 2 x 3 x = 18 x = 6 km / hour if the speed of the stream is 6 km / hour , then the ' downstream ' speed of the boat is 18 + 6 = 24 km / hour and the ' upstream ' speed of the boat is 18 - 6 = 12 km / hour . in that way , if the boat traveled for 2 hours , it would travel 2 x 24 = 48 km downstream and 2 x 12 = 24 km / hour upstream . answer : c\"" + }, + { + "Answer": 14, + "Options": "['a ) 11', 'b ) 12', 'c ) 13', 'd ) 14', 'e ) 15']", + "Correct": "d", + "Explanation": "each of 2 present in the party = > no . of pairs possible = nc 2 possible adjacent pairs = n total required combinations = nc 2 - n time taken by each combination to sing a song = 2 min total time taken = 2 ( nc 2 - n ) = 28 on solving the above equation , we get n = 14 answer : d" + }, + { + "Answer": 4, + "Options": "a ) 24 , b ) 23 , c ) 22 , d ) 21 , e ) 4", + "Correct": "e", + "Explanation": "\"when b started walking y already has covered 3 miles out of 10 , hence the distance at that time between them was 10 - 3 = 7 miles . combined rate of b and y was 3 + 4 = 7 miles per hour , hence they would meet each other in 7 / 7 = 1 hours . in 6 hours b walked 1 * 4 = 4 miles . answer : e .\"" + }, + { + "Answer": 60, + "Options": "a ) 60 kmph , b ) 61 kmph , c ) 62 kmph , d ) 64 kmph , e ) 66 kmph", + "Correct": "a", + "Explanation": "time = 6 distence = 540 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 540 / 9 = 60 kmph a )" + }, + { + "Answer": 7.2, + "Options": "a ) 22 days , b ) 36 / 5 days , c ) 67 days , d ) 17 / 7 days , e ) 18 days", + "Correct": "b", + "Explanation": "\"c = 1 / 2 - 1 / 4 - 1 / 9 = 5 / 36 = > 36 / 5 days answer : b\"" + }, + { + "Answer": 20, + "Options": "a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 20", + "Correct": "e", + "Explanation": "\"work done by x in 8 days = 8 * 1 / 40 = 1 / 5 remaining work = 1 - 1 / 5 = 4 / 5 4 / 5 work is done by y in 16 days whole work will be done by y in 16 * 5 / 4 = 20 days answer is e\"" + }, + { + "Answer": 25, + "Options": "a ) 25 , b ) 20 , c ) 30 , d ) 10 , e ) 15", + "Correct": "a", + "Explanation": "\"men required to finish the work in 4 days = 10 * 10 / 4 = 25 answer is a\"" + }, + { + "Answer": 66.25, + "Options": "a ) 22 , b ) 75 , c ) 90 , d ) 78 , e ) 66", + "Correct": "e", + "Explanation": "\"sp of 1 m of cloth = 6900 / 80 = rs . 86 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 86 - rs . 20 = rs . 66 . answer : e\"" + }, + { + "Answer": 4.2, + "Options": "a ) 8 hours , b ) 6 hours , c ) 4.2 hours , d ) 5 hours , e ) 6 hours", + "Correct": "c", + "Explanation": "\"still water = 12 km / hr downstream = 42 / 3 = 14 km / hr upstream = > > still water = ( u + v / 2 ) = > > 12 = u + 14 / 2 = 10 km / hr so time taken in upstream = 42 / 10 = 4.2 hrs answer : c\"" + }, + { + "Answer": 28.006886134680677, + "Options": "['a ) 22', 'b ) 28', 'c ) 99', 'd ) 77', 'e ) 16']", + "Correct": "b", + "Explanation": "36 / 7 r = 144 = > r = 28 answer : b" + }, + { + "Answer": 350, + "Options": "a ) 150 , b ) 88 , c ) 77 , d ) 62 , e ) 350", + "Correct": "e", + "Explanation": "\"length of the train be \u00e2 \u20ac \u02dc x \u00e2 \u20ac \u2122 x + 100 / 15 = x + 250 / 20 4 x + 400 = 3 x + 750 x = 350 m answer : e\"" + }, + { + "Answer": 24, + "Options": "a ) 15 , b ) 24 , c ) 30 , d ) 20 , e ) 10", + "Correct": "b", + "Explanation": "the workers earn 4 times more than they have to return per day for not working . so the number of days they did not work is 4 times the number of days they worked . that means 24 days of not working in 30 days . correct answer b" + }, + { + "Answer": 13.999999999999995, + "Options": "a ) 5 hrs , b ) 7 hrs , c ) 12 hrs , d ) 14 hrs , e ) none", + "Correct": "d", + "Explanation": "\"sol . work done by the leak in 1 hour = ( 1 / 2 - 3 / 7 ) = 1 / 14 . \u2234 leak will empty the tank in 14 hrs . answer d\"" + }, + { + "Answer": 6.666666666666666, + "Options": "a ) 2 miles , b ) 4 miles , c ) 6.6 miles , d ) 8 miles , e ) 10 miles", + "Correct": "c", + "Explanation": "answer : c ) 6.6 miles . average speed for round trip = 2 * a * b / ( a + b ) , where a , b are speeds so , average speed was = 2 * 5 * 25 / ( 5 + 25 ) = 6.6 m / hr the distance between schoolhome should be half of that . ie . 6.6 miles answer c" + }, + { + "Answer": 51.99424046076314, + "Options": "a ) 52 , b ) 54 , c ) 56 , d ) 58 , e ) 60", + "Correct": "a", + "Explanation": "relative speed = ( 300 / 15 ) m / s = ( 300 / 15 ) * ( 18 / 5 ) = 72 kmph speed of goods train = 72 - 20 = 52 kmph answer is a" + }, + { + "Answer": 847.9999999999999, + "Options": "a ) 9 km , b ) 72.5 km , c ) 190.75 km , d ) 848 km , e ) none of these", + "Correct": "d", + "Explanation": "explanation : let the actual distance be x km . then , more distance on the map , more is the actual distance ( direct proportion ) = > 0.4 : 64 : : 5.3 : x = > 0.4 x = 64 x 5.3 = > x = 64 x 5.3 / 0.4 = > x = 848 answer : d" + }, + { + "Answer": 9, + "Options": "a ) 5 , b ) 10 , c ) 16 , d ) 20 , e ) 9", + "Correct": "e", + "Explanation": "\"the prompt is essentially asking for the maximum number of 5 x 5 squares that can be cut from a larger 15 by 15 square . since each ' row ' and each ' column ' of the larger square can be sub - divided into 3 ' pieces ' each , we have ( 3 ) ( 3 ) = 9 total smaller squares ( at maximum ) . e\"" + }, + { + "Answer": 2.49980001599872, + "Options": "a ) 8.5 seconds , b ) 2.8 seconds , c ) 3.5 seconds , d ) 2.5 seconds , e ) 2.6 seconds", + "Correct": "d", + "Explanation": "\"first convert speed into m / sec speed = 144 * ( 5 / 18 ) = 40 m / sec time = distance / speed = 100 / 40 = 2.5 seconds answer : d\"" + }, + { + "Answer": 33, + "Options": "a ) 33 , b ) 2 ^ 4 * 3 , c ) 24 , d ) 38 , e ) 47", + "Correct": "a", + "Explanation": "\"working backward from the day it ' s covered : day 34 : fully covered day 33 : half covered so 33 days answer : a\"" + }, + { + "Answer": 67.66125376636536, + "Options": "a ) 28 , b ) 27 , c ) 55 , d ) 18 , e ) 67.7", + "Correct": "e", + "Explanation": "\"t = ( 850 + 165 ) / 54 * 18 / 5 t = 67.7 answer : e\"" + }, + { + "Answer": 2000, + "Options": "a ) 6400 , b ) 2000 , c ) 5500 , d ) 7400 , e ) 3000", + "Correct": "b", + "Explanation": "\"number of bricks = volume of the wall / volume of 1 brick = ( 800 x 600 x 22.5 ) / ( 80 x 11.25 x 6 ) = 2000 answer : b\"" + }, + { + "Answer": 2.5, + "Options": "a ) 0 kmph , b ) 4 kmph , c ) 16 kmph , d ) 2.5 kmph , e ) 26 kmph", + "Correct": "d", + "Explanation": "\"speed of the stream = 1 / 2 ( 13 - 8 ) kmph = 2.5 kmph . correct option : d\"" + }, + { + "Answer": 300, + "Options": "a ) 150 , b ) 450 , c ) 400 , d ) 600 , e ) 300", + "Correct": "e", + "Explanation": "\"150 - - - - 31 150 - - - - 15 x - - - - - 5 x * 5 = 150 * 15 x = 450 150 - - - - - - - 300 answer : e\"" + }, + { + "Answer": 17600, + "Options": "a ) rs . 15,550 , b ) rs . 15,600 , c ) rs . 16,500 , d ) rs . 17,600 , e ) rs . 17,900", + "Correct": "d", + "Explanation": "area of the floor = ( 5.5 \u00d7 4 ) m 2 = 22 m 2 . cost of paving = rs . ( 800 \u00d7 22 ) = rs . 17600 . answer : option d" + }, + { + "Answer": 45, + "Options": "a ) 34 days , b ) 45 days , c ) 46 days , d ) 50 days , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : less cows , more days ( indirect proportion ) less bags , less days ( direct proportion ) [ cows 1 45 bags 45 1 ] : : 45 : x = > x \u2217 45 \u2217 1 = 45 \u2217 1 \u2217 45 = > x = 45 option b\"" + }, + { + "Answer": 20, + "Options": "a ) 50 , b ) 40 , c ) 30 , d ) 20 , e ) 10", + "Correct": "d", + "Explanation": "number of pieces = 1700 / 85 = 20 the answer is d ." + }, + { + "Answer": 3.4285714285714284, + "Options": "a ) 3 , b ) 3.4 , c ) 3.8 , d ) 4 , e ) 4.5", + "Correct": "b", + "Explanation": "\"both computers together process files at a rate of 240 / 8 + 240 / 6 = 30 + 40 = 70 files per hour . the time required to process 240 files is 240 / 70 which is about 3.4 hours the answer is b .\"" + }, + { + "Answer": 13.333333333333334, + "Options": "a ) 12 , b ) 14 , c ) 16 , d ) 20 , e ) 13.3", + "Correct": "e", + "Explanation": "\"sol . speed of the first train = [ 120 / 10 ] m / sec = 12 m / sec . speed of the second train = [ 120 / 20 ] m / sec = 6 m / sec . relative speed = ( 12 + 6 ) = m / sec = 18 m / sec . \u2234 required time = ( 120 + 120 ) / 18 secc = 13.3 sec . answer e\"" + }, + { + "Answer": 15, + "Options": "a ) 9 , b ) 10 , c ) 12 , d ) 14 , e ) 15", + "Correct": "e", + "Explanation": "explanation : t = 30 / 120 * 60 = 15 answer : option e" + }, + { + "Answer": 117.1875, + "Options": "a ) 114 , b ) 115 , c ) 116 , d ) 117 , e ) 118", + "Correct": "d", + "Explanation": "let the required number of seconds be x more cloth , more time , ( direct proportion ) hence we can write as ( cloth ) 0.128 : 15 : : 1 : x = > 0.128 * x = 15 = > x = 15 / 0.128 = > x = 117 answer : d" + }, + { + "Answer": 150.00000000000006, + "Options": "a ) 150 m , b ) 278 m , c ) 350 m , d ) 228 m , e ) 282 m", + "Correct": "a", + "Explanation": "\"speed = [ 300 / 18 ] m / sec = 50 / 3 m / sec . let the length of the platform be x meters . then , x + 300 / 27 = 50 / 3 3 ( x + 300 ) = 1350 \u00e8 x = 150 m . answer : a\"" + }, + { + "Answer": 10, + "Options": "a ) 10 , b ) 20 , c ) 5 , d ) 15 , e ) 9", + "Correct": "a", + "Explanation": "a ' s one day work = 1 / 10 a + b = 1 / 5 ( one day work ) b = ( 1 / 5 ) - a = ( 1 / 5 ) - ( 1 / 10 ) = 1 / 10 ( one day work ) b can done a work in 10 days . answer option a" + }, + { + "Answer": 20, + "Options": "a ) 15 , b ) 17 , c ) 18 , d ) 56 , e ) 20", + "Correct": "e", + "Explanation": "\"tank capacity : 1000 l , 1 st - 200 l / min for 1 min , volume filled : 200 l 2 nd - 100 l / min for 2 min , volume filled : 100 l 3 rd ( water draining ) : 25 l / min * 2 : 50 l total : ( 200 + 100 ) - 50 = 250 l filled for 1 cycle number of 250 in 1000 l tank : 1000 / 250 = 4 time taken to fill : 4 * total time = 4 * 5 = 20 ( option e )\"" + }, + { + "Answer": 14, + "Options": "a ) 14 , b ) 16 , c ) 21 , d ) 22 , e ) 27", + "Correct": "a", + "Explanation": "\"let the speed in highway be h mpg and in city be c mpg . h = c + 6 h miles are covered in 1 gallon 462 miles will be covered in 462 / h . similarly c miles are covered in 1 gallon 336 miles will be covered in 336 / c . both should be same ( as car ' s fuel capacity does not change with speed ) = > 336 / c = 480 / h = > 336 / c = 480 / ( c + 6 ) = > 336 c + 336 * 6 = 480 c = > c = 336 * 6 / 144 = 14 answer a .\"" + }, + { + "Answer": 75, + "Options": "a ) 45 , b ) 90 , c ) 80 , d ) 75 , e ) 70", + "Correct": "d", + "Explanation": "\"let the number of correct answers be x . number of incorrect answers = ( 120 \u00e2 \u20ac \u201c x ) . 3 x \u00e2 \u20ac \u201c ( 120 \u00e2 \u20ac \u201c x ) = 180 or 4 x = 300 or x = 75 answer : d\"" + }, + { + "Answer": 8, + "Options": "a ) 8 sec , b ) 16 sec , c ) 18 sec , d ) 14 sec , e ) 12 sec", + "Correct": "a", + "Explanation": "\"speed = 108 * 5 / 18 = 30 m / sec time taken = 240 * 1 / 30 = 8 sec answer : a\"" + }, + { + "Answer": 70, + "Options": "a ) 46 m , b ) 60 m , c ) 58 m , d ) 70 m , e ) 80 m", + "Correct": "d", + "Explanation": "\"let breadth = x metres . then , length = ( x + 40 ) metres . perimeter = 5300 / 26.5 m = 200 m . 2 [ ( x + 40 ) + x ] = 200 2 x + 40 = 100 2 x = 60 x = 30 . hence , length = x + 40 = 70 m d\"" + }, + { + "Answer": 0.7142857142857143, + "Options": "a ) 1 / 2 , b ) 2 / 5 , c ) 3 / 5 , d ) 4 / 5 , e ) 5 / 7", + "Correct": "e", + "Explanation": "\"method : x = no . of boxes loaded by day crew . boxes by night crew = 1 / 2 * 4 / 5 x = 2 / 5 x % loaded by day crew = x / ( x + 2 / 5 x ) = 5 / 7 answer e\"" + }, + { + "Answer": 320.03999999999996, + "Options": "a ) 320 meter , b ) 225 meter , c ) 230 meter , d ) 235 meter , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : as trains are running in opposite directions so their relative speed will get added so , relative speed = 120 + 80 = 200 kmph = 200 * ( 5 / 18 ) = 500 / 9 m / sec let the length of other train is x meter then x + 180 / 9 = 500 / 9 = > x + 180 = 500 = > x = 320 so the length of the train is 320 meters option a\"" + }, + { + "Answer": 4.003639672429482, + "Options": "a ) 18 , b ) 4 , c ) 6 , d ) 8 , e ) 19", + "Correct": "b", + "Explanation": "\"2 * 22 / 7 * 42 * x = 1056 = > x = 4 answer : b\"" + }, + { + "Answer": 6, + "Options": "a ) 5 , b ) 5 1 / 2 , c ) 7 1 / 2 , d ) 6 , e ) 9 1 / 2", + "Correct": "d", + "Explanation": "\"son ' s 1 day work = 1 / 3 - 1 / 6 = 1 / 6 son alone can do the work in 6 days = 6 days answer is d\"" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 5 , c ) 4 , d ) 2 , e ) 6", + "Correct": "a", + "Explanation": "a rate = 1 / 4 b rate = 1 / 16 ( a + b ) rate = ( 1 / 4 ) + ( 1 / 12 ) = 1 / 3 a & b finish the work in 3 days correct option is a" + }, + { + "Answer": 13787.878787878788, + "Options": "a ) 16000 , b ) 14567 , c ) 13787 , d ) 13456 , e ) none of these", + "Correct": "c", + "Explanation": "explanation : number of bricks = courtyard area / 1 brick area = ( 2800 \u00e3 \u2014 1300 / 22 \u00e3 \u2014 12 ) = 13787 option c" + }, + { + "Answer": 18, + "Options": "a ) a . 10 , b ) b . 12 , c ) c . 14 , d ) d . 18 , e ) e . 24", + "Correct": "d", + "Explanation": "rate of x = 1 / 8 rate of x + y = 1 / 6 rate of y = 1 / 6 - 1 / 8 = 1 / 24 18 hours d" + }, + { + "Answer": 16.666666666666668, + "Options": "a ) 5 hrs , b ) 16.6 hrs , c ) 15.6 hrs , d ) 20.4 hrs , e ) 30 hrs", + "Correct": "b", + "Explanation": "\"1 hour he walk 3 km he walk 50 km in = 50 / 3 * 1 = 16.6 hours answer is b\"" + }, + { + "Answer": 10.504226244065093, + "Options": "['a ) 5.25 m', 'b ) 7 m', 'c ) 10.5 m', 'd ) 21 m', 'e ) 22 m']", + "Correct": "c", + "Explanation": "2 \u03c0 ( r - r ) = 60 = > 2 * 22 / 7 * ( r - r ) = 60 . therefore , ( r - r ) = ( 66 * 7 / 44 ) = 10.5 m answer : c" + }, + { + "Answer": 10, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 20", + "Correct": "b", + "Explanation": "by including stoppages , bus will cover 9 km less . . ( 54 km - 45 km = 9 km ) excluding stoppages , x = 54 kmph including stoppages , y = 45 kmph difference , z = 9 km time taken to cover that 9 km ( bus stops per hour ( 60 minutes ) ) = z / x ( 60 minutes ) = 9 / 54 ( 60 ) = 1 / 6 ( 60 ) = 10 minutes . answer : b" + }, + { + "Answer": 62, + "Options": "a ) 58 , b ) 62 , c ) 74 , d ) 81 , e ) 65", + "Correct": "b", + "Explanation": "\"relative speed = ( 280 / 9 ) m / s = ( 280 / 9 ) * ( 18 / 5 ) = 112 kmph speed of goods train = 112 - 50 = 62 kmph answer is b\"" + }, + { + "Answer": 12, + "Options": "a ) 4 , b ) 6 , c ) 8 , d ) 12 , e ) 16", + "Correct": "d", + "Explanation": "\"d = s * t given condition is for up the mountain hikers takes 4 miles per day and total 2 days . . . miles = 8 miles . . . for down speed they take = 3 / 2 ( 4 ) = 6 miles per day and for the same 2 days . . . miles = 12 miles . . answer : option d is correct answer\"" + }, + { + "Answer": 500.03999999999996, + "Options": "a ) 270 mts , b ) 190 mts , c ) 100 mts , d ) 500 mts , e ) 110 mts", + "Correct": "d", + "Explanation": "explanation : using pythagarous theorem , distance travelled by first train = 36 x 5 / 18 x 30 = 300 m distance travelled by second train = 48 x 5 / 18 x 30 = 400 m so distance between them = \u00e2 \u02c6 \u0161 ( 90000 + 160000 ) = \u00e2 \u02c6 \u0161 250000 = 500 mts . answer : d" + }, + { + "Answer": 563.1999999999999, + "Options": "a ) 561.68 m , b ) 562.68 m , c ) 563.68 m , d ) 564.68 m , e ) 565.68 m", + "Correct": "b", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 400 resolutions . = 500 * 2 * 22 / 7 * 22.4 = 56268 cm = 562.68 m answer : b\"" + }, + { + "Answer": 0.5857142857142857, + "Options": "a ) 7 / 12 , b ) 8 / 41 , c ) 9 / 348 , d ) 1 / 8 , e ) 41 / 70", + "Correct": "e", + "Explanation": "\"- - - - - - - - - ui - - - - - - - - - - - - - - - - nui - - - - - - - total pt - - - - ( 12.5 / 100 ) * 104 = 13 - - - - - - - - - - - - - 54 npt - - - 104 - 13 - - - - - - - - - - - - - - x - - - - - - - - 296 total - - 104 - - - - - - - - - - - - - - - - - - - - - - - - - - - - 350 we have to find not part time and not uninsured . in other words not part time and insured = x / 350 = ( 296 - 104 + 13 ) / 350 = 41 / 70 answer is e .\"" + }, + { + "Answer": 6.666666666666667, + "Options": "a ) 40 days , b ) 40 / 9 days , c ) 39 / 9 days , d ) 30 / 9 days , e ) 20 / 3 days", + "Correct": "e", + "Explanation": "\"a ' s one hour work = 1 / 12 . b ' s one hour work = 1 / 15 . ( a + b ) ' s one hour work = 1 / 12 + 1 / 15 = 9 / 60 = 3 / 20 . both a & b can finish the work in 20 / 3 days e\"" + }, + { + "Answer": 500, + "Options": "a ) 10 / 28 , b ) 1 / 28 , c ) 12 / 28 , d ) 28 / 1 , e ) 582 / 695", + "Correct": "b", + "Explanation": "b" + }, + { + "Answer": 4.499640028797696, + "Options": "a ) 47 / 10 , b ) 46 / 10 , c ) 45 / 10 , d ) 42 / 10 , e ) 43 / 10", + "Correct": "c", + "Explanation": "\"they are moving in opposite directions , relative speed is equal to the sum of their speeds . relative speed = ( 71 + 89 ) * 5 / 18 = 44.4 mps . the time required = d / s = 200 / 44.4 = 45 / 10 sec . answer : c\"" + }, + { + "Answer": 915.1999999999998, + "Options": "a ) 724 m , b ) 704 m , c ) 915.2 m , d ) 278 m , e ) 927 m", + "Correct": "c", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 650 resolutions . = 650 * 2 * 22 / 7 * 22.4 = 91520 cm = 915.2 m answer : c\"" + }, + { + "Answer": 500.0000000000001, + "Options": "a ) 150 m , b ) 100 m , c ) 500 m , d ) 180 m , e ) 190 m", + "Correct": "c", + "Explanation": "a takes time 2 minutes = 120 sec b takes time 2.40 minutes = 160 sec diffrence = 160 - 120 = 40 sec now we are to find distance covered in 40 sec by b 160 sec = 2000 m 1 sec = 25 / 2 m 40 sec = 40 x 25 / 2 = 500 m answer : c" + }, + { + "Answer": 210, + "Options": "a ) 288 , b ) 267 , c ) 261 , d ) 211 , e ) 210", + "Correct": "e", + "Explanation": "\"the total number of stations = 15 from 15 stations we have to choose any two stations and the direction of travel ( i . e . , hyderabad to bangalore is different from bangalore to hyderabad ) in 15 p \u2082 ways . 15 p \u2082 = 15 * 14 = 210 . answer : e\"" + }, + { + "Answer": 1.5, + "Options": "a ) 1.5 kmph , b ) 2 kmph , c ) 3 kmph , d ) 2.5 kmph , e ) 3.5 kmph", + "Correct": "a", + "Explanation": "\"rate upstream = ( 1 / 30 * 60 ) = 2 kmph rate down stream = 1 / 12 * 60 = 5 kmph rate of the current = \u00bd ( 5 - 2 ) = 1.5 kmph answer : a\"" + }, + { + "Answer": 60, + "Options": "a ) 45 , b ) 60 , c ) 75 , d ) 80 , e ) 100", + "Correct": "b", + "Explanation": "using the std formula m 1 d 1 h 1 / w 1 = m 2 d 2 h 2 / w 2 substituting the values we have 5 * 1 / 2 * 4 / 3 = 2 * 5 / 3 * x ( converted 30 min into hours = 1 / 2 ) 10 / 3 = 10 / 3 * x x = 1 hour so 60 minutes answer : b" + }, + { + "Answer": 25650, + "Options": "a ) 25650 , b ) 25750 , c ) 26550 , d ) 26750 , e ) 25725", + "Correct": "a", + "Explanation": "\"area = 6 \u00d7 4.75 sq . metre . cost for 1 sq . metre . = rs . 900 hence total cost = 6 \u00d7 4.75 \u00d7 900 = 6 \u00d7 4275 = rs . 25650 answer is a .\"" + }, + { + "Answer": 24, + "Options": "a ) 23 miles , b ) 25 miles , c ) 22 miles , d ) 24 miles , e ) 26 miles", + "Correct": "d", + "Explanation": "d 24 miles / hr ( not 25 miles / hr which might be guessed by many ) d : distance traveled t 1 : time of going to office t 2 : time of returning back y : average speed d = 20 * t 1 t 1 = d / 20 d = 30 * t 2 t 2 = d / 30 2 d = y ( t 2 + t 1 ) 2 d = y ( d / 20 + d / 30 ) 2 d = y ( 3 d / 60 + 2 d / 60 ) 2 d = y ( 5 d / 60 ) y = 120 d / 5 d = > y = 24" + }, + { + "Answer": 180, + "Options": "a ) 250 , b ) 200 , c ) 300 , d ) 240 , e ) 180", + "Correct": "e", + "Explanation": "speed = 36 * 5 / 18 = 10 m / sec . length of the train = 10 * 12 = 120 m . let the length of the platform be x m . then , ( x + 120 ) / 30 = 10 = > x = 180 m . answer : e" + }, + { + "Answer": 30, + "Options": "a ) 18 hours , b ) 23 hours , c ) 28 hours , d ) 30 hours , e ) 40 hours", + "Correct": "d", + "Explanation": "\"let leak can empty the full tank in x hours . 1 / 12 - 1 / x = 1 / 20 = > 1 / 12 \u2013 1 / 20 = 1 / x 1 / x = 5 - 3 / 60 = 1 / 30 x = 30 hours answer : d\"" + }, + { + "Answer": 14.00563499208679, + "Options": "a ) 84 m , b ) 88 m , c ) 14 m , d ) 137 m , e ) none", + "Correct": "c", + "Explanation": "\"sol . let the length of the wire b h . radius = 1 / 2 mm = 1 / 20 cm . then , 22 / 7 * 1 / 20 * 1 / 20 * h = 11 \u21d4 = [ 11 * 20 * 20 * 7 / 22 ] = 1400 cm = 14 m . answer c\"" + }, + { + "Answer": 39, + "Options": "a ) 31 , b ) 35 , c ) 39 , d ) 43 , e ) 47", + "Correct": "c", + "Explanation": "( 3.6 miles / 8 minutes ) * 60 minutes / hour = 27 mph let x be the original speed . x - 4 ( 3 ) = 27 x = 39 mph the answer is c ." + }, + { + "Answer": 240, + "Options": "a ) 127 , b ) 240 , c ) 287 , d ) 450 , e ) 281", + "Correct": "b", + "Explanation": "explanation : let the required no of hectares be x . then men - - - hectares - - - days 15 - - - - - - - - - 80 - - - - - - - - - 24 36 - - - - - - - - - x - - - - - - - - - 30 more men , more hectares ( direct proportion ) more days , more hectares ( direct proportion ) x = 36 / 15 * 30 / 24 * 80 x = 240 answer : b" + }, + { + "Answer": 20, + "Options": "a ) 12 , b ) 20 , c ) 24 , d ) 30 , e ) 36", + "Correct": "b", + "Explanation": "let ' s assume that it takes 4 hours to go from point a to b . then the distance between them becomes 240 which makes distance between b and c 120 . ( 240 + 120 ) / ( 4 + x ) gives us the average speed which is 36 . you find x = 6 . so the question simplifies itself to 120 / 6 = 20 hence the answer is b" + }, + { + "Answer": 15, + "Options": "a ) 10 s , b ) 15 s , c ) 4 s , d ) 8 s , e ) 12 s", + "Correct": "b", + "Explanation": "\"detailed solution speed of a = 54 \u2217 1000 / 60 \u2217 60 = 15 m / s speed of b = 36 \u2217 1000 / 60 \u2217 60 = 10 m / s relative speed = s 1 + s 2 = 15 + 10 m / s = 25 m / s the length that needs to be crossed = length of train b = 150 m . therefore time taken = 150 / 25 = 6 s . what is the time taken for trains to completely cross each other ? the length that needs to be crossed = 225 + 150 = 375 m . time taken = 375 / 25 = 15 s . correct answer b .\"" + }, + { + "Answer": 38.11764705882353, + "Options": "a ) 38.07 , b ) 40 , c ) 42 , d ) 39 , e ) 40.07", + "Correct": "a", + "Explanation": "\"let t be the number of hours that bob had walked when he met yolanda . then , when they met , bob had walked 4 t miles and yolanda had walked 8 ( t + 1 ) miles . these distances must sum to 80 miles , so 9 t + 8 ( t + 1 ) = 80 , which may be solved for t as follows 9 t + 8 ( t + 1 ) = 80 9 t + 8 t + 8 = 80 17 t = 72 t = 4.23 ( hours ) therefore , bob had walked 9 t = 9 ( 4.23 ) = 38.07 miles when they met . the best answer is a .\"" + }, + { + "Answer": 22.5, + "Options": "a ) 50 hours , b ) 40 hours , c ) 22.5 hours , d ) 12 hours , e ) 8 hours", + "Correct": "c", + "Explanation": "\"here , we ' re told that 5 machines can produce 20 units in 10 hours . . . . that means that each machine works for 10 hours apiece . since there are 5 machines ( and we ' re meant to assume that each machine does the same amount of work ) , then the 5 machines equally created the 20 units . 20 units / 5 machines = 4 units are made by each machine every 10 hours now that we know how long it takes each machine to make 4 units , we can break this down further if we choose to . . . 10 hours / 4 units = 2.5 hours per unit when 1 machine is working . the prompt asks us how long would it take 20 machines to produce 180 units . if 20 machines each work for 2.5 hours , then we ' ll have 20 units . since 180 units is ' 9 times ' 20 , we need ' 9 times ' more time . ( 2.5 hours ) ( 9 times ) = 22.5 hours final answer : [ reveal ] spoiler : c\"" + }, + { + "Answer": 34, + "Options": "a ) $ 28 , b ) $ 32 , c ) $ 34 , d ) $ 35 , e ) $ 40", + "Correct": "c", + "Explanation": "\"let x be the daily wage before the increase . 1.5 x = $ 51 x = $ 34 the answer is c .\"" + }, + { + "Answer": 30, + "Options": "a ) 10 days , b ) 30 days , c ) 20 days , d ) 80 days , e ) 40 days", + "Correct": "b", + "Explanation": "\"b 30 days given that 12 m = 20 w = > 3 m = 5 w 9 men + 21 women = 15 women + 21 women = 36 women 20 women can do the work in 54 days . so , 36 women can do it in ( 20 * 54 ) / 36 = 30 days .\"" + }, + { + "Answer": 11, + "Options": "a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", + "Correct": "a", + "Explanation": "\"speed of the boat downstream = 90 + 18 = 108 kmph = 108 * 5 / 18 = 30 m / s hence time taken to cover 330 m = 330 / 30 = 11 seconds . answer : a\"" + }, + { + "Answer": 24, + "Options": "a ) 24 , b ) 23 , c ) 22 , d ) 21 , e ) 19.5", + "Correct": "a", + "Explanation": "just an alternative method . . . after the first hour the distance q is 42 km ( 45 - 3 ) . now the problem can be treated as if bothof them started at the same time . since the speeds are in the ratio 3 : 4 , the distances will also be in the same ratio . splitting 42 in that ratio we get 18 : 24 . so answer is 24 . hence a ." + }, + { + "Answer": 32.72727272727273, + "Options": "a ) 80 days , b ) 33 days , c ) 35 days , d ) 16 days , e ) 15 days", + "Correct": "b", + "Explanation": "one man can consume the same food in 40 * 45 = 1800 days . 15 more men join , the total number of men = 55 the number of days the food will last = 1800 / 55 = 33 days . answer : b" + }, + { + "Answer": 116.99999999999997, + "Options": "a ) 52 , b ) 65 , c ) 117 , d ) 91 , e ) 104", + "Correct": "c", + "Explanation": "\"fuel used 3.9 gallons ; convert to liters - - > 3.9 x 3.8 liters time = 5.7 hours 1 mile = 1.6 kilometers ; convert to miles - - > 1 km = 1 / 1.6 mile speed ( km / hour ) = d / t = 72 ( km * ) x 3.9 x 3.8 / 5.7 replace ( km * ) to miles ; multiply by 1 / 1.6 mile speed ( miles / hour ) = 72 x 3.9 x 3.8 / 5.7 x 1.6 = 78 miles / hour ans : c ps : i felt the factors were easy to cancel out , so did n ' t require much rounding off = 72 x 3.9 x 3.8 / 5.7 x 1.6 = 117 c\"" + }, + { + "Answer": 558, + "Options": "a ) rs . 456 , b ) rs . 458 , c ) rs . 558 , d ) rs . 568 , e ) none of these", + "Correct": "c", + "Explanation": "explanation : area to be plastered = [ 2 ( l + b ) x h ] + ( l x b ) = { [ 2 ( 25 + 12 ) x 6 ] + ( 25 x 12 ) } m 2 = ( 444 + 300 ) m 2 = 744 m 2 . cost of plastering = rs . 744 x 75 / 100 = rs . 558 answer : c" + }, + { + "Answer": 16500, + "Options": "a ) $ 12500 , b ) $ 13500 , c ) $ 16500 , d ) $ 14500 , e ) $ 18500", + "Correct": "c", + "Explanation": "\"c $ 16500 area = 5.5 \u00d7 3.75 sq . metre . cost for 1 sq . metre . = $ 800 hence , total cost = 5.5 \u00d7 3.75 \u00d7 800 = 5.5 \u00d7 3000 = $ 16500\"" + }, + { + "Answer": 174, + "Options": "a ) 138 , b ) 148 , c ) 150 , d ) 162 , e ) 174", + "Correct": "e", + "Explanation": "\"5 hr = 300 min . if harriet spend equal hrs on each leg she will spend 150 min on each . since speed a - b is less than speed b - a and distance on each leg is the same , time spent on a - b is more than 150 min , which mean we can eliminate ans . a , b and c . now let plug in ans . d or e and verify which one give same distance on each leg . e . t = 174 min * leg a - b - - - > d = 105.174 / 60 = 18270 / 60 * leg b - a - - - - > d = 145 * 126 / 60 = 18270 / 60 so the correct ans . ise\"" + }, + { + "Answer": 6.5, + "Options": "a ) 7.0 , b ) 8.2 , c ) 6.5 , d ) 7 , e ) 6", + "Correct": "c", + "Explanation": "\"16 - - - 2 ds = 8 ? - - - - 1 10 - - - - 2 us = 5 ? - - - - 1 m = ? m = ( 8 + 5 ) / 2 = 6.5 answer : c\"" + }, + { + "Answer": 4, + "Options": "a ) 3 , b ) 9 , c ) 8 , d ) 4 , e ) 5", + "Correct": "d", + "Explanation": "1 / 2 ^ 3 = 1 / 8 but here der r two types of tone and we need to find the odds of d train of two tones to form 3 tones consequently so 2 * 1 / 8 = 1 / 4 so ans is 4 answer : d" + }, + { + "Answer": 250, + "Options": "a ) 250 , b ) 255 , c ) 260 , d ) 265 , e ) 270", + "Correct": "a", + "Explanation": "we have , m 1 d 1 = m 2 d 2 100 * 50 = 20 * d 2 d 2 = 100 * 50 / 20 = 250 days . answer : a" + }, + { + "Answer": 0.020000000000000004, + "Options": "a ) 1 / 50 , b ) 1 / 30 , c ) 1 / 15 , d ) 1 / 10 , e ) 1 / 5", + "Correct": "a", + "Explanation": "p ( a and b ) = 1 / 10 * 1 / 5 = 1 / 50 the answer is a ." + }, + { + "Answer": 12.598992080633549, + "Options": "a ) 82.1 sec . , b ) 12.6 sec , c ) 19.1 sec . , d ) 17.1 sec . , e ) 42.1 sec .", + "Correct": "b", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec total distance covered = 110 + 142 = 252 m . required time = 252 / 20 = 12.6 sec . answer : b\"" + }, + { + "Answer": 615, + "Options": "a ) 167 sec , b ) 190 sec , c ) 176 sec , d ) 716 sec , e ) 615 sec", + "Correct": "e", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 10 ) / 16 = 625 sec . time taken by a = 625 - 10 = 615 sec . answer : e\"" + }, + { + "Answer": 4.5, + "Options": "a ) 4.5 hrs , b ) 5 hrs , c ) 6.5 hrs , d ) 7.2 hrs , e ) 9.2 hrs", + "Correct": "a", + "Explanation": "\"net part filled in 1 hour = 1 / 3 - 1 / 9 = 2 / 9 therefore the cistern will be filled in 9 / 2 hours or 4.5 hours . answer : a\"" + }, + { + "Answer": 26666.666666666668, + "Options": "a ) 26666 , b ) 26166 , c ) 29666 , d ) 22666 , e ) 26699", + "Correct": "a", + "Explanation": "\"rate of water flow - 8 kmph - - 8000 / 60 - - 133.33 m / min depth of river - - 8 m width of river - - 25 m vol of water per min - - 133.33 * 8 * 25 - - - 26666 answer a\"" + }, + { + "Answer": 48, + "Options": "a ) 12 hours , b ) 24 hours , c ) 36 hours , d ) 48 hours , e ) none", + "Correct": "d", + "Explanation": "\"sol . speed upstream = 7.5 kmph ; speed downstream = 10.5 kmph . \u2234 total time taken = [ 210 / 7.5 + 210 / 10.5 ] hours = 48 hours . answer d\"" + }, + { + "Answer": 450, + "Options": "a ) 150 meter , b ) 286 meter , c ) 186 meter , d ) 288 meter , e ) 450 meter", + "Correct": "e", + "Explanation": "\"speed = 180 * ( 5 / 18 ) m / sec = 50 m / sec length of train ( distance ) = speed * time ( 50 ) * 9 = 450 meter answer : e\"" + }, + { + "Answer": 20, + "Options": "a ) 4 , b ) 9 , c ) 15 , d ) 20 , e ) 63", + "Correct": "d", + "Explanation": "\"given : z = s ^ 2 + 2 s for 0 \u2264 s \u2264 7 z ( 3 ) = 3 ^ 2 + 2 * 3 = 15 z ( 5 ) = 5 ^ 2 + 2 * 5 = 35 therefore z ( 7 ) - z ( 3 ) = 35 - 15 = 20 km / hr option d\"" + }, + { + "Answer": 200, + "Options": "a ) 200 meters , b ) 360 meters , c ) 420 meters , d ) 600 meters , e ) can not be determined", + "Correct": "a", + "Explanation": "\"speed of the train in metres / sec = 72000 / 3600 = 20 distance travelled by train to cross the platform = 30 * 20 = 600 = length of train + length of platform distance travelled by train to cross the man = 20 * 20 = 400 = length of train length of platform = 600 - 400 = 200 answer : a\"" + }, + { + "Answer": 10, + "Options": "a ) 8 , b ) 7 , c ) 6 , d ) 5 , e ) 10", + "Correct": "e", + "Explanation": "sol . relative speed = ( 2 + 3 ) = 5 rounds per hour . so , they cross each other 5 times in an hour and 5 times in next hour . hence , they cross each other 10 times before 10 : 00 a . m . answer e" + }, + { + "Answer": 25, + "Options": "a ) 23 kmph , b ) 24 kmph , c ) 25 kmph , d ) 26 kmph , e ) 27 kmph", + "Correct": "c", + "Explanation": "\"let the time taken to reach the destination be 3 x hours . total distance = 50 * 3 x = 150 x km he covered 2 / 3 * 150 x = 100 x km in 1 / 3 * 3 x = x hours so , the remaining 50 x km , he has to cover in 2 x hours . required speed = 50 x / 2 x = 25 kmph . answer : c\"" + }, + { + "Answer": 25, + "Options": "a ) 35 kmph , b ) 50 kmph , c ) 25 kmph , d ) 30 kmph , e ) 38 kmph", + "Correct": "c", + "Explanation": "let normal speed = x increased speed = x + 5 initial = > x = 300 / t 1 = > t 1 = 300 / x after = > ( x + 5 ) = 300 / ( t 1 - 2 ) = > ( x + 5 ) = 300 / [ ( 300 / x ) - 2 ] = > x = 25 kmph answer : c" + }, + { + "Answer": 75, + "Options": "a ) 45 , b ) 55 , c ) 65 , d ) 75 , e ) 85", + "Correct": "d", + "Explanation": "\"the relative speed = 46 - 36 = 10 km / hr = 10 * 5 / 18 = 25 / 9 m / s in 54 seconds , the relative difference in distance traveled is 54 * 25 / 9 = 150 meters this distance is twice the length of each train . the length of each train is 150 / 2 = 75 meters the answer is d .\"" + }, + { + "Answer": 315, + "Options": "a ) 227 , b ) 299 , c ) 315 , d ) 161 , e ) 212", + "Correct": "c", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 24 + 18 ) * ( 15 ) = 315 cm 2 answer : c\"" + }, + { + "Answer": 215.99999999999997, + "Options": "a ) 192 , b ) 200 , c ) 208 , d ) 216 , e ) 224", + "Correct": "d", + "Explanation": "\"pump a can empty ( 1 / 6 ) of the pool per hour . pump b can empty ( 1 / 9 ) of the pool per hour . together the pumps can empty 1 / 6 + 1 / 9 = 5 / 18 of the pool per hour . 1 pool / ( 5 / 18 ) pool per hour = 18 / 5 hours = 216 minutes . the answer is d .\"" + }, + { + "Answer": 3.5, + "Options": "a ) 3.625 , b ) 3.5 , c ) 4 , d ) 4.5 , e ) 5", + "Correct": "b", + "Explanation": "\"set up two r x t = d cases . 1 . 1 / 10 km / min x t = 2.5 from which t = 25 mins . we know total journey time now is 45 + 25 = 70 the rate is the same ie 1 / 10 km / min . set up second r x t = d case . 1 / 10 km / min x 70 = 7 km now the total journey would be halved as distance would be same in each direction . 7 / 2 = 3.5 b .\"" + }, + { + "Answer": 90, + "Options": "a ) 89.7 minutes , b ) 90 minutes , c ) 90.3 seconds , d ) 91 seconds , e ) none of these", + "Correct": "b", + "Explanation": "explanation : let \u2018 l \u2019 be the length of train , \u2018 x \u2019 be the speed of the first man , \u2018 y \u2019 be the speed of the second man and \u2018 z \u2019 be the speed of the train . = > 20 = 1 / ( z \u2212 x ) and = > 18 = 1 / ( z + x ) = > z = 10 x + 9 y . distance between the two men = 600 ( z + y ) . time = ( 600 ( z + y ) - 600 ( x + y ) ) / ( x + y ) . = > 600 ( 9 x + 9 y ) / ( x + y ) . = > 90 minutes . answer : b" + }, + { + "Answer": 440.00000000000017, + "Options": "a ) s . 380 , b ) s . 600 , c ) s . 420 , d ) s . 440 , e ) s . 480", + "Correct": "d", + "Explanation": "\"explanation : amount of work a can do in 1 day = 1 / 6 amount of work b can do in 1 day = 1 / 8 amount of work a + b can do in 1 day = 1 / 6 + 1 / 8 = 7 / 24 amount of work a + b + c can do = 1 / 3 amount of work c can do in 1 day = 1 / 3 - 7 / 24 = 1 / 24 work a can do in 1 day : work b can do in 1 day : work c can do in 1 day = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 amount to be paid to c = 3520 \u00d7 ( 1 / 8 ) = 440 answer : option d\"" + }, + { + "Answer": 22.5, + "Options": "a ) 23 , b ) 22 , c ) 45 / 2 , d ) 36 , e ) 48", + "Correct": "c", + "Explanation": "\"c 45 / 2 wc = 1 : 2 2 x + x = 1 / 15 = > x = 1 / 45 2 x = 2 / 45 = > 45 / 2 days\"" + }, + { + "Answer": 26, + "Options": "a ) 28 miles , b ) 30 miles , c ) 26 miles , d ) 18 miles , e ) 22 miles", + "Correct": "c", + "Explanation": "using pythagoras we have one side i , e total distance traveled in north direction = 18 + 6 = 24 m other being the base ie distance traveled west - distance traveled eat = 20 - 10 = 10 m now this third side or the distance between town a and town b = 24 ^ 2 + 10 ^ 2 = sq root 676 = 26 m answer : c" + }, + { + "Answer": 23000, + "Options": "a ) 22377 , b ) 27782 , c ) 27891 , d ) 25000 , e ) 23000", + "Correct": "e", + "Explanation": "\"23 * 2 * 0.75 = 20 / 100 * 10 / 100 * 7.5 / 100 * x 23 = 1 / 100 * x = > x = 23000 answer : e\"" + }, + { + "Answer": 34.05124837953327, + "Options": "a ) 34 , b ) 50 , c ) 60 , d ) 70 , e ) 80", + "Correct": "a", + "Explanation": "\"let speed of car r be = x then speed of car p = x + 10 a / q , ( 300 / x ) - ( 300 / ( x + 10 ) ) = 2 solving for x = 34 miles \\ hr . a\"" + }, + { + "Answer": 140, + "Options": "a ) 140 kg , b ) 60 kg , c ) 72 kg , d ) 96 kg , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : volume of water displaced = ( 7 x 2 x 0.01 ) m 3 = 0.14 m 3 . \u2234 mass of man = volume of water displaced x density of water = ( 0.14 x 1000 ) kg = 140 kg . answer : a\"" + }, + { + "Answer": 103.99999999999997, + "Options": "a ) 52 , b ) 65 , c ) 78 , d ) 91 , e ) 104", + "Correct": "e", + "Explanation": "\"fuel used 3.9 gallons ; convert to liters - - > 3.9 x 3.8 liters time = 5.7 hours 1 mile = 1.6 kilometers ; convert to miles - - > 1 km = 1 / 1.6 mile speed ( km / hour ) = d / t = 64 ( km * ) x 3.9 x 3.8 / 5.7 replace ( km * ) to miles ; multiply by 1 / 1.6 mile speed ( miles / hour ) = 64 x 3.9 x 3.8 / 5.7 x 1.6 = 78 miles / hour ans : e ps : i felt the factors were easy to cancel out , so did n ' t require much rounding off = 64 x 3.9 x 3.8 / 5.7 x 1.6 = 104 e\"" + }, + { + "Answer": 6400, + "Options": "a ) 8600 litres , b ) 6400 litres , c ) 12800 litres , d ) 11200 litres , e ) 13200 litres", + "Correct": "b", + "Explanation": "\"let the rate of outlet pipe be x liters / hour ; rate of inlet pipe is 4 litres / min , or 4 * 60 = 240 liters / hour ; net outflow rate when both pipes operate would be x - 240 liters / hour . capacity of the tank = x * 10 hours = ( x - 240 ) * ( 10 + 6 ) hours 10 x = ( x - 240 ) * 16 - - > x = 640 - - > capacity = 10 x = 6400 liters . answer : b .\"" + }, + { + "Answer": 24.999999999999996, + "Options": "a ) 30 days , b ) 25 days , c ) 20 days , d ) 15 days , e ) 24 days", + "Correct": "b", + "Explanation": "\"work done by p and q in 1 day = 1 / 10 work done by r in 1 day = 1 / 50 work done by p , q and r in 1 day = 1 / 10 + 1 / 50 = 6 / 50 but work done by p in 1 day = work done by q and r in 1 day . hence the above equation can be written as work done by p in 1 day \u00d7 2 = 6 / 50 = > work done by p in 1 day = 3 / 50 = > work done by q and r in 1 day = 3 / 50 hence work done by q in 1 day = 3 / 50 \u2013 1 / 50 = 2 / 50 = 1 / 25 so q alone can do the work in 25 days option b\"" + }, + { + "Answer": 15.999999999999998, + "Options": "a ) 17 hrs , b ) 16 hrs , c ) 15 hrs , d ) 13 hrs , e ) 12 hrs", + "Correct": "b", + "Explanation": "1 / 20 + 1 / 30 = 1 / 12 1 + 1 / 3 = 4 / 3 1 - - - 12 4 / 3 - - - ? 4 / 3 * 12 = 16 hrs answer : b" + }, + { + "Answer": 165.2, + "Options": "['a ) a ) $ 144', 'b ) b ) $ 150.50', 'c ) c ) $ 165', 'd ) d ) $ 158.60', 'e ) e ) $ 160.70']", + "Correct": "c", + "Explanation": "total volume * unit cost = total cost or , 5900 * 0.01 * 2.8 = total cost = 165 = c" + }, + { + "Answer": 99, + "Options": "a ) 99 , b ) 66 , c ) 132 , d ) 264 , e ) 364", + "Correct": "a", + "Explanation": "\"12 * 396 = 48 * x x = 99 answer : a\"" + }, + { + "Answer": 1.8461538461538463, + "Options": "a ) 1.00 minutes , b ) 1.20 minutes , c ) 1.50 min , d ) 1.85 min , e ) 2.00 minutes", + "Correct": "d", + "Explanation": "by guess it is clear that the time taken will be less than 2 minutes and more than 1.5 mintes therefore , answer 1.85 minutes will be correct . answer - d" + }, + { + "Answer": 12, + "Options": "a ) 11 , b ) 12 , c ) 14 , d ) 15 , e ) 16", + "Correct": "b", + "Explanation": "\"hcf x lcm = product of numbers 4 x 24 = 8 x the other number other number = ( 4 x 24 ) / 8 other number = 12 answer : b\"" + }, + { + "Answer": 63.61725123519331, + "Options": "a ) 63.00 square meter , b ) 63.64 square meter , c ) 63.08 square meter , d ) 63.24 square meter , e ) 63.43 square meter", + "Correct": "b", + "Explanation": "\"diameter = 9 meter . radius = diameter / 2 . = 9 / 2 . = 4.5 meter . area of a circle = \u00ef \u20ac r 2 . here , pi ( \u00ef \u20ac ) = 3.14 meter , radius ( r ) = 4.5 . area of a circle = 3.14 \u00e3 \u2014 4.5 \u00e3 \u2014 4.5 . = 3.14 \u00e3 \u2014 20.25 . = 63.64 m 2 . answer : b\"" + }, + { + "Answer": 6, + "Options": "a ) 6 mph , b ) 5.25 mph , c ) 3.5 mph , d ) 4 mph , e ) 0.5 mph", + "Correct": "a", + "Explanation": "\"( 1 mph + 11 mph ) / 2 = 6 mph correct option is : a\"" + }, + { + "Answer": 70, + "Options": "a ) 66 , b ) 70 , c ) 72 , d ) 75 , e ) 78", + "Correct": "b", + "Explanation": "\"let the distance one way be x time from home to work = x / 75 time from work to home = x / 105 total time = 2 hrs ( x / 75 ) + ( x / 105 ) = 2 solving for x , we get x = 175 / 2 time from home to work in minutes = ( 175 / 2 ) * 60 / 75 = 70 minutes ans = b\"" + }, + { + "Answer": 50, + "Options": "a ) 50 , b ) 40 , c ) 30 , d ) 20 , e ) 10", + "Correct": "a", + "Explanation": "\"number of pieces = 4250 / 85 = 850 / 17 = 50 answer is a .\"" + }, + { + "Answer": 90, + "Options": "a ) 89 kmph , b ) 92 kmph , c ) 90 kmph , d ) 65 kmph , e ) 77 kmph", + "Correct": "c", + "Explanation": "\"s = ( 120 + 60 ) / 2 = 90 kmph c\"" + }, + { + "Answer": 25, + "Options": "a ) 5 , b ) 9 , c ) 25 , d ) 30 , e ) 45", + "Correct": "c", + "Explanation": "\"relative distance = 50 miles relative speed = 5 + 5 = 10 miles per hour time taken = 50 / 10 = 5 hours distance travelled by sam = 5 * 5 = 25 miles = c\"" + }, + { + "Answer": 23, + "Options": "a ) a ) 11 , b ) b ) 23 , c ) c ) 24 , d ) d ) 29 , e ) d ) 36", + "Correct": "b", + "Explanation": "\"lets solve by creating equation . . w = 31 . . total = 50 . . not w = 50 - 31 = 19 . . now let people who were neither be x , so out of 19 who won nobel = x + 3 . . so x + x + 3 = 19 or x = 8 . . so who won nobel but not wolf = x + 3 = 11 . . but people who won both w and n = 12 . . so total who won n = 11 + 12 = 23 . . b\"" + }, + { + "Answer": 8.4, + "Options": "a ) 70 min , b ) 16 min , c ) 20 min , d ) 8.4 min , e ) 40 min", + "Correct": "d", + "Explanation": "\"d 8.4 min due to stoppages , it covers 7 km less . time taken to cover 9 km = ( 7 / 50 x 60 ) min = 8.4 min\"" + }, + { + "Answer": 75, + "Options": "a ) 60 , b ) 70 , c ) m = 75 , d ) 80 , e ) 100", + "Correct": "c", + "Explanation": "\"we can also use the concept of man - days here 100 days - - > 10 men so the job includes 100 * 10 = 1000 man - days after 20 days 1 / 4 of job is completed so 1 / 4 x 1000 man - days = 250 man - days job is done now the balance job = 1000 - 250 = 750 man - days worth of job since 2 men are fired so b / l men = 8 therefore total no . of days of job = 750 man - day / 8 days = 375 / 4 = 94 days ( approx . ) now since this is total and ques . is asking for additional no . of days , so 94 - 20 = 74 days the nearest approx . to answer is 75 ans : c ( 75 days )\"" + }, + { + "Answer": 18, + "Options": "a ) 23 , b ) 22 , c ) 18 , d ) 36 , e ) 48", + "Correct": "c", + "Explanation": "\"c 18 wc = 1 : 2 2 x + x = 1 / 12 = > x = 1 / 36 2 x = 1 / 18 = > 18 days\"" + }, + { + "Answer": 504, + "Options": "a ) 288 cm 2 , b ) 277 cm 2 , c ) 504 cm 2 , d ) 510 cm 2 , e ) 287 cm 2", + "Correct": "c", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 28 + 20 ) * ( 21 ) = 504 cm 2 answer : c\"" + }, + { + "Answer": 300, + "Options": "a ) 227 , b ) 299 , c ) 300 , d ) 161 , e ) 212", + "Correct": "c", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 22 + 18 ) * ( 15 ) = 300 cm 2 answer : c\"" + }, + { + "Answer": 30, + "Options": "a ) 23 days , b ) 30 days , c ) 22 days , d ) 29 days , e ) 20 days", + "Correct": "b", + "Explanation": "\"b 30 days 18 * 20 = 12 * x = > x = 30 days\"" + }, + { + "Answer": 90, + "Options": "a ) 40 , b ) 60 , c ) 120 , d ) 90 , e ) 100", + "Correct": "d", + "Explanation": "\"if two objects a and b start simultaneously from opposite points and , after meeting , reach their destinations in \u2018 a \u2019 and \u2018 b \u2019 hours respectively ( i . e . a takes \u2018 a hrs \u2019 to travel from the meeting point to his destination and b takes \u2018 b hrs \u2019 to travel from the meeting point to his destination ) , then the ratio of their speeds is given by : sa / sb = \u221a ( b / a ) i . e . ratio of speeds is given by the square root of the inverse ratio of time taken . sa / sb = \u221a ( 4 / 9 ) = 2 / 3 this gives us that the ratio of the speed of a : speed of b as 2 : 3 . since speed of a is 60 kmph , speed of b must be 80 * ( 3 / 2 ) = 90 kmph d\"" + }, + { + "Answer": 50, + "Options": "a ) 23 days , b ) 46 days , c ) 22 days , d ) 29 days , e ) 50 days", + "Correct": "e", + "Explanation": "e 50 days 10 * 35 = 7 * x = > x = 50 days" + }, + { + "Answer": 72, + "Options": "a ) 22 kmph , b ) 77 kmph , c ) 54 kmph , d ) 72 kmph , e ) 88 kmph", + "Correct": "d", + "Explanation": "\"s = 320 / 16 * 18 / 5 = 72 kmph answer : d\"" + }, + { + "Answer": 30, + "Options": "a ) 20 , b ) 25 , c ) 30 , d ) 35 , e ) 40", + "Correct": "c", + "Explanation": "30 workers working already let x be the total men required to finish the task in next 200 days 2 km done hence remaining is 8 km also , work has to be completed in next 200 days ( 300 - 100 = 200 ) we know that , proportion of men to distance is direct proportion and , proportion of men to days is inverse proportion hence , x = ( 30 * 8 * 100 ) / ( 2 * 200 ) thus , x = 60 thus , more men needed to finish the task = 60 - 30 = 30 answer : c" + }, + { + "Answer": 100, + "Options": "a ) 20 % , b ) 80 % , c ) 100 % , d ) 180 % , e ) 200 %", + "Correct": "c", + "Explanation": "\"c . let ' s assume just jane 40 bears per 40 / hrs a week , so that is 1 bear / hr . with an assistant she makes 72 bears per 36 hours a week or 2 bears / hr ( [ 40 bears * 1.8 ] / [ 40 hrs * . 90 ] ) . t = [ ( 2 - 1 ) / 1 ] * 100 % = 100 % . c\"" + }, + { + "Answer": 14, + "Options": "a ) 14 , 18 , b ) 14 , 6 , c ) 14 , 14 , d ) 6 , 6 , e ) 14 , 10", + "Correct": "b", + "Explanation": "\"explanation : if x : speed of boats man in still water y : speed of the river downstream speed ( ds ) = x + y upstream speed ( us ) = x \u00e2 \u20ac \u201c y x = ( ds + us ) / 2 y = ( ds \u00e2 \u20ac \u201c us ) / 2 in the above problem ds = 20 ; us = 8 x = ( 20 + 8 ) / 2 = 28 / 2 = 14 km / hr y = ( 20 - 8 ) / 2 = 12 / 2 = 6 km / hr answer : b\"" + }, + { + "Answer": 0.9999200063994881, + "Options": "a ) 8 sec , b ) 1 sec , c ) 9 sec , d ) 6 sec , e ) 2 sec", + "Correct": "b", + "Explanation": "t = 10 / 36 * 18 / 5 = 1 sec answer : b" + }, + { + "Answer": 208.91999999999996, + "Options": "a ) 208 , b ) 277 , c ) 350 , d ) 881 , e ) 271", + "Correct": "a", + "Explanation": "\"d = 70 * 5 / 18 = 20 = 388 \u2013 180 = 208 answer : a\"" + }, + { + "Answer": 35.997120230381576, + "Options": "a ) 77 sec , b ) 66 sec , c ) 48 sec , d ) 55 sec , e ) 36 sec", + "Correct": "e", + "Explanation": "relative speed = 20 + 30 = 50 km / hr . 50 * 5 / 18 = 125 / 9 m / sec . distance covered = 250 + 250 = 500 m . required time = 500 * 9 / 125 = 36 sec . answer : e" + }, + { + "Answer": 39.33, + "Options": "a ) $ 23.45 , b ) $ 65.33 , c ) $ 40 , d ) $ 38.27 , e ) $ 39.33", + "Correct": "e", + "Explanation": "4 hrs 25 min = 265 min first 15 min - - - - - - > $ 6 time left is 250 min . . . now , 60 min costs $ 8 1 min costs $ 8 / 60 250 min costs $ 8 / 60 * 250 = > $ 33.33 so , total cost will be $ 33.33 + $ 6 = > $ 39.33 the answer will be ( e ) $ 39.33" + }, + { + "Answer": 210.22222222222223, + "Options": "a ) 212 , b ) 190 , c ) 277 , d ) 181 , e ) 122", + "Correct": "a", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 12 ) / 54 = 222 sec . time taken by a = 224 - 12 = 212 sec . answer : a\"" + }, + { + "Answer": 44, + "Options": "a ) 44 , b ) 48 , c ) 50 , d ) 52 , e ) 54", + "Correct": "a", + "Explanation": "\"the time it takes bob to drive to city b is 220 / 40 = 5.5 hours . alice needs to take less than 5 hours for the trip . alice needs to exceed a constant speed of 220 / 5 = 44 miles per hour . the answer is a .\"" + }, + { + "Answer": 19.108280254777068, + "Options": "a ) 11 , b ) 14 , c ) 18 , d ) 19 , e ) 10", + "Correct": "d", + "Explanation": "\"2 * 22 / 7 * 10 * x = 1200 = > x = 19 answer : d\"" + }, + { + "Answer": 6.119510439164867, + "Options": "a ) 10.9 sec , b ) 14.8 sec , c ) 6.12 sec , d ) 10.8 sec , e ) 20.8 sec", + "Correct": "c", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 50 + 120 = 170 m . required time = 170 * 9 / 250 = 6.12 = 6.12 sec . answer : c\"" + }, + { + "Answer": 72, + "Options": "a ) 60 kmph , b ) 75 kmph , c ) 80 kmph , d ) 85 kmph , e ) 72 kmph", + "Correct": "e", + "Explanation": "\"in 12 s the train crosses the pole and in 27 sec the train crosses one more stationary train in 15 sec the train travels a distance of 300 mtrs speed = 300 / 15 = 20 m / s = 20 ( 3600 / 1000 ) = 20 * 18 / 5 = 72 kmph answer : e\"" + }, + { + "Answer": 60, + "Options": "a ) 12 sec , b ) 24 sec , c ) 48 sec , d ) 60 sec , e ) 62 sec", + "Correct": "d", + "Explanation": "\"relative speed = 30 + 30 = 60 km / hr . 60 * 5 / 18 = 50 / 3 m / sec . distance covered = 500 + 500 = 1000 m . required time = 1000 * 3 / 50 = 60 sec . answer : d\"" + }, + { + "Answer": 12.307692307692308, + "Options": "a ) 12 , b ) 14 , c ) 16 , d ) 12.3 , e ) 18", + "Correct": "d", + "Explanation": "\"sol . speed of the first train = [ 120 / 10 ] m / sec = 12 m / sec . speed of the second train = [ 120 / 16 ] m / sec = 7.5 m / sec . relative speed = ( 12 + 7.5 ) = m / sec = 19.5 m / sec . \u2234 required time = ( 120 + 120 ) / 19.5 secc = 12.3 sec . answer d\"" + }, + { + "Answer": 240, + "Options": "['a ) 240', 'b ) 18', 'c ) 26', 'd ) 17', 'e ) 12']", + "Correct": "a", + "Explanation": "30 * 16 = 2 * 1 * x = > x = 240 answer : a" + }, + { + "Answer": 90, + "Options": "a ) 15 , b ) 60 , c ) 75 , d ) 90 , e ) 105", + "Correct": "d", + "Explanation": "\"this type of questions should be solved without any complex calculations as these questions become imperative in gaining that extra 30 - 40 seconds for a difficult one . teena covers 55 miles in 60 mins . roe covers 40 miles in 60 mins so teena gains 15 miles every 60 mins teena need to cover 7.5 + 15 miles . teena can cover 7.5 miles in 30 mins teena will cover 15 miles in 60 mins so answer 30 + 60 = 90 mins . d\"" + }, + { + "Answer": 247, + "Options": "a ) 335 cm 2 , b ) 885 cm 2 , c ) 285 cm 2 , d ) 247 cm 2 , e ) 725 cm 2", + "Correct": "d", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 13 ) = 247 cm 2 answer : d\"" + }, + { + "Answer": 230, + "Options": "a ) 230 , b ) 240 , c ) 245 , d ) 250 , e ) 255", + "Correct": "a", + "Explanation": "\"speed = 45 * 5 / 18 = 25 / 2 m / sec . time = 30 sec let the length of bridge be x meters . then , ( 145 + x ) / 30 = 25 / 2 x = 230 m . answer : option a\"" + }, + { + "Answer": 280, + "Options": "a ) 280 meters , b ) 360 meters , c ) 420 meters , d ) 600 meters , e ) can not be determined", + "Correct": "a", + "Explanation": "\"speed of train = 72 * ( 5 / 18 ) = 20 m / s lets consider the man as a stationery point on the platform . crossing the point gives us the length of the train . lt = 20 * 18 = 360 m . crossing the platform gives us the length of trainlength of platform . l ( t + p ) = 20 * 32 = 640 m . so , length of platform = 640 - 360 = 280 m imo , answer a\"" + }, + { + "Answer": 470.05760000000004, + "Options": "a ) 470 m , b ) 240 m , c ) 260 m , d ) 270 m , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : speed = [ 72 x ( 5 / 18 ) ] m / sec = 20 m / sec . time = 36 sec . let the length of the train be x metres . then , [ ( x + 250 ) / 36 ] = 20 = > x + 250 = 720 = > x = 470 . answer : a\"" + }, + { + "Answer": 45, + "Options": "a ) 25 , b ) 35 , c ) 45 , d ) 55 , e ) 65", + "Correct": "c", + "Explanation": "\"45 workers * 8 hours / 30 meters = x * 6 / 45 x = 90 total workers 90 - 45 = 45 new workers the answer is c .\"" + }, + { + "Answer": 0.9285714285714286, + "Options": "a ) 13 / 14 , b ) 13 / 10 , c ) 13 / 18 , d ) 13 / 16 , e ) 13 / 11", + "Correct": "a", + "Explanation": "3 m + 8 w = 6 m + 2 w 3 m = 6 w 1 m = 2 w therefore 3 m + 8 w = 14 w 4 m + 5 w = 13 w answer is 13 / 14 answer : a" + }, + { + "Answer": 28, + "Options": "a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36", + "Correct": "c", + "Explanation": "\"the height : length ratio will be equal in both cases . 18 / 45 = x / 70 x = 28 the answer is c .\"" + }, + { + "Answer": 35, + "Options": "a ) 25 hr , b ) 35 hr , c ) 40 hr , d ) 20 hr , e ) 50 hr", + "Correct": "b", + "Explanation": "\"suppose pipe a alone take x hours to fill the tank then pipe b and c will take x / 2 and x / 4 hours respectively to fill the tank . 1 / x + 2 / x + 4 / x = 1 / 5 7 / x = 1 / 5 x = 35 hours answer is b\"" + }, + { + "Answer": 2, + "Options": "a ) 2 : 1 , b ) 2 : 8 , c ) 2 : 9 , d ) 2 : 5 , e ) 2 : 2", + "Correct": "a", + "Explanation": "\"let 1 man ' s 1 day work = x and 1 boy ' s 1 day work = y . then , 12 x + 16 y = 1 / 5 and 13 x + 24 y = 1 / 4 solving these two equations , we get : x = 1 / 100 and y = 1 / 200 required ratio = x : y = 1 / 100 : 1 / 200 = 2 : 1 . answer : a\"" + }, + { + "Answer": 27, + "Options": "a ) 25 , b ) 27 , c ) 15 , d ) 18 , e ) 21", + "Correct": "b", + "Explanation": "( a ' s 1 day work ) : ( b ' s 1 day work ) = 2 : 1 a + b 1 day work = 1 / 18 a ' s 1 day work = ( 1 / 18 ) * ( 2 / 3 ) = 1 / 27 a alone can finish the work in 27 days answer is b" + }, + { + "Answer": 12, + "Options": "a ) 13 sec . , b ) 15 sec . , c ) 12 sec . , d ) 17 sec . , e ) 19 sec .", + "Correct": "c", + "Explanation": "\"c 12 sec . speed of the first bullet train = 120 / 10 m / sec = 12 m / sec . speed of the second bullet train = 120 / 15 m / sec = 8 m / sec . relative speed = ( 12 + 8 ) = 20 m / sec . required time = ( 120 + 120 ) / 20 sec = 12 sec .\"" + }, + { + "Answer": 1140, + "Options": "a ) 1122 , b ) 1140 , c ) 1199 , d ) 1188 , e ) 1166", + "Correct": "b", + "Explanation": "760 - - - - 22 760 - - - - 20 x - - - - - 8 x * 8 = 760 * 20 x = 1900 760 - - - - - - - 1140 answer : b" + }, + { + "Answer": 914.2857142857143, + "Options": "a ) 914.2 hours , b ) 900 hours , c ) 915 hours , d ) 905 hours , e ) 915 hours", + "Correct": "a", + "Explanation": "\"explanation : speed downstream = ( 16 + 2 ) = 18 kmph speed upstream = ( 16 - 2 ) = 14 kmph total time taken = 7200 / 18 + 7200 / 14 = 400 + 514.2 = 914.2 hours answer : option a\"" + }, + { + "Answer": 875.0000000000005, + "Options": "a ) s . 375 , b ) s . 400 , c ) s . 600 , d ) s . 800 , e ) s . 875", + "Correct": "e", + "Explanation": "\"c ' s 1 day ' s work = 1 / 3 - ( 1 / 6 + 1 / 8 ) = 1 / 3 - 7 / 24 = 1 / 24 a ' s wages : b ' s wages : c ' s wages = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 c ' s share ( for 3 days ) = rs . ( 3 * 1 / 24 * 7000 ) = rs . 875 answer = e\"" + }, + { + "Answer": 96, + "Options": "a ) 24 km , b ) 30 km , c ) 96 km , d ) 12 km , e ) 15 km", + "Correct": "c", + "Explanation": "\"speed of down stream = 10 + 2 = 12 kmph speed of upstream = 10 - 2 = 8 kmph let the required distance be xkm x / 12 + x / 8 = 20 2 x + 3 x = 480 x = 96 km answer is c\"" + }, + { + "Answer": 7.999360051195905, + "Options": "a ) 2.5 sec , b ) 8.0 sec , c ) 3.5 sec , d ) 2.9 sec , e ) 9.5 sec", + "Correct": "b", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 320 / 40 = 8.0 sec . answer : b\"" + }, + { + "Answer": 24, + "Options": "a ) 24 km , b ) 30 km , c ) 48 km , d ) 12 km , e ) 15 km", + "Correct": "a", + "Explanation": "speed of down stream = 10 + 2 = 12 kmph speed of upstream = 10 - 2 = 8 kmph let the required distance be xkm x / 12 + x / 8 = 5 2 x + 3 x = 120 x = 24 km answer is a" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 1 , c ) 3 , d ) 4 , e ) 2.1", + "Correct": "a", + "Explanation": "\"45 - - - 5 ds = 9 ? - - - - 1 25 - - - - 5 us = 5 ? - - - - 1 s = ? s = ( 9 - 5 ) / 2 = 2 answer : a\"" + }, + { + "Answer": 6.25, + "Options": "a ) 2.25 . , b ) 3.125 . , c ) 4.5 . , d ) 5.225 . , e ) 6.25 .", + "Correct": "e", + "Explanation": "\"number of hours in 28 days = 28 * 24 number of 30 mins in 28 days = 28 * 24 * 2 number of computers built every 30 mins = 8400 / ( 28 * 24 * 2 ) = 6.25 answer e\"" + }, + { + "Answer": 15, + "Options": "a ) 15 , b ) 18 , c ) 10 , d ) 16 , e ) none of these", + "Correct": "a", + "Explanation": "\"due to stoppages , it covers 20 km less . time taken to cover 20 km = 20 \u2044 80 h = 1 \u2044 4 h = 1 \u2044 4 \u00d7 60 min = 15 min answer a\"" + }, + { + "Answer": 108, + "Options": "a ) 22 kmph , b ) 108 kmph , c ) 54 kmph , d ) 71 kmph , e ) 88 kmph", + "Correct": "b", + "Explanation": "\"s = 480 / 16 * 18 / 5 = 108 kmph answer : b\"" + }, + { + "Answer": 300.024, + "Options": "a ) 287 , b ) 600 , c ) 289 , d ) 300 , e ) 207", + "Correct": "d", + "Explanation": "\"36 kmph = 36 * 5 / 18 = 10 mps d = speed * time = 10 * 30 = 300 m . answer : d\"" + }, + { + "Answer": 10, + "Options": "a ) 11 kmph , b ) 10 kmph , c ) 12 kmph , d ) 16 kmph , e ) 15 kmph", + "Correct": "b", + "Explanation": "x = the speed of the stream ( 30 + x ) / ( 30 - x ) = 2 / 1 30 + x = 60 - 2 x 3 x = 30 x = 10 km / hour if the speed of the stream is 10 km / hour , then the ' downstream ' speed of the boat is 30 + 10 = 40 km / hour and the ' upstream ' speed of the boat is 30 - 10 = 20 km / hour . in that way , if the boat traveled for 2 hours , it would travel 2 x 40 = 80 km downstream and 2 x 20 = 40 km / hour upstream . answer : b" + }, + { + "Answer": 44, + "Options": "['a ) 44 m', 'b ) 66 m', 'c ) 26 m', 'd ) 56 m', 'e ) 25 m']", + "Correct": "a", + "Explanation": "perimeter of the plot = 2 ( 60 + 50 ) = 220 m no of poles = 220 / 5 = 44 m answer : a" + }, + { + "Answer": 7, + "Options": "a ) 6 , b ) 7 , c ) 5 , d ) 8 , e ) 9", + "Correct": "b", + "Explanation": "explanation : cameron and sandra completed half work in 3.5 days = > they can complete whole work in 7 days answer : option b" + }, + { + "Answer": 31, + "Options": "a ) 86 , b ) 67 , c ) 31 , d ) 15 , e ) 17", + "Correct": "c", + "Explanation": "\"us = 25 ds = 37 m = ( 37 + 25 ) / 2 = 31 answer : c\"" + }, + { + "Answer": 24, + "Options": "a ) 24 , b ) 36 , c ) 42 , d ) 48 , e ) 54", + "Correct": "a", + "Explanation": "\"speed is inversly proprtional to time walking at 50 % of speed meand 1 / 2 s takes 2 t . it takes 24 minutes extra to cover the distance . then 2 t = t + 24 t = 24 . option a is correct\"" + }, + { + "Answer": 60.75, + "Options": "a ) $ 33.75 , b ) $ 47.25 , c ) $ 60.75 , d ) $ 54.00 , e ) $ 70.00", + "Correct": "c", + "Explanation": "\"daily working hour * regular rate + overtime * increased rate 7.5 * 4.5 + 3 * 4.5 * 2.0 = 60.75 answer c\"" + }, + { + "Answer": 56, + "Options": "a ) 48 , b ) 50 , c ) 52 , d ) 54 , e ) 56", + "Correct": "e", + "Explanation": "7 c 4 + 7 c 5 = 35 + 21 = 56 the answer is e ." + }, + { + "Answer": 66, + "Options": "a ) 47 , b ) 76 , c ) 28 , d ) 66 , e ) 11", + "Correct": "d", + "Explanation": "explanation : for ticking 6 times , there are 5 intervals . each interval has time duration of 30 / 5 = 6 secs at 12 o ' clock , there are 11 intervals , so total time for 11 intervals = 11 \u00d7 6 = 66 secs . answer : d" + }, + { + "Answer": 18, + "Options": "a ) 5 days , b ) 7 days , c ) 12 days , d ) 9 days , e ) 18 days", + "Correct": "e", + "Explanation": "explanation : a \u2019 s 5 day work = 5 * 1 / 15 = 1 / 3 remaining work = 1 - 1 / 3 = 2 / 3 b completes 2 / 3 work in 6 days b alone can do in x days 2 / 3 * x = 12 x = 18 days answer : option e" + }, + { + "Answer": 800, + "Options": "a ) 350 m , b ) 200 m , c ) 400 m , d ) 800 m , e ) none of them", + "Correct": "d", + "Explanation": "\"relative speed of the policeman = ( 10 - 8 ) km / hr = 2 km / hr . time taken by police man to cover ( 200 m / 1000 ) x 1 / 2 hr = 1 / 10 hr . in 1 / 10 hrs , the thief covers a distance of 8 x 1 / 10 km = 4 / 5 km = 800 m answer is d .\"" + }, + { + "Answer": 11.249999999999998, + "Options": "a ) 4.5 hrs , b ) 5 hrs , c ) 6.5 hrs , d ) 7.25 hrs , e ) 11.25 hrs", + "Correct": "e", + "Explanation": "\"net part filled in 1 hour = 1 / 5 - 1 / 9 = 4 / 45 therefore the cistern will be filled in 45 / 4 hours or 11.25 hours . answer : e\"" + }, + { + "Answer": 1, + "Options": "a ) 1 kmph , b ) 2 kmph , c ) 1.5 kmph , d ) 12 kmph , e ) 15 kmph", + "Correct": "a", + "Explanation": "speed upstream = 16 / 4 = 4 kmph speed down stream = 24 / 4 = 6 kmph speed of stream = \u00bd ( 6 - 4 ) = 1 kmph answer : a" + }, + { + "Answer": 80, + "Options": "a ) 40 , b ) 50 , c ) 60 , d ) 80 , e ) 85", + "Correct": "d", + "Explanation": "average speed = 360 / 4.5 hours = 360 / 270 = 1.33 miles per min = 80 miles per hour answer : d" + }, + { + "Answer": 4.5, + "Options": "a ) 3.00 , b ) 5.00 , c ) 4.50 , d ) 5.50 , e ) 6.75", + "Correct": "c", + "Explanation": "\"we are given that a glucose solution contains 10 grams of glucose per 100 cubic centimeters of solution . since we are dealing with a solution , we know that the grams of glucose is proportional to the number of cubic centimeters of solution . thus , to determine how many grams of glucose would be in the container when we have 45 cubic centimeters of solution , we can set up a proportion . we can say : \u201c 10 grams of glucose is to 100 cubic centimeters of solution as x grams of glucose is to 45 cubic centimeters of solution . \u201d let \u2019 s now set up the proportion and solve for x . 10 / 100 = x / 45 when we cross multiply we obtain : ( 10 ) ( 45 ) = 100 x 450 = 100 x 4.50 = x there are 4.5 grams of glucose in the solution in the container . the answer is c .\"" + }, + { + "Answer": 20, + "Options": "a ) 87 days , b ) 20 days , c ) 16 days , d ) 19 days , e ) 36 days", + "Correct": "b", + "Explanation": "\"c = 1 / 2 - 1 / 4 - 1 / 5 = 1 / 20 = > 20 days answer : b\"" + }, + { + "Answer": 235, + "Options": "a ) 230 , b ) 244 , c ) 245 , d ) 238 , e ) 235", + "Correct": "e", + "Explanation": "\"speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 140 + x ) / 30 = 25 / 2 = = > 2 ( 140 + x ) = 750 = = > x = 235 m . answer : option e\"" + }, + { + "Answer": 96, + "Options": "a ) 32 kmph , b ) 96 kmph , c ) 34 kmph , d ) 43 kmph , e ) 40 kmph", + "Correct": "b", + "Explanation": "\"s = ( 100 + 300 ) / 45 = 400 / 15 * 18 / 5 = 96 answer : b\"" + }, + { + "Answer": 100, + "Options": "a ) 20 % , b ) 80 % , c ) 100 % , d ) 180 % , e ) 200 %", + "Correct": "c", + "Explanation": "\"c . let ' s assume just jane 40 bears per 40 / hrs a week , so that is 1 bear / hr . with an assistant she makes 72 bears per 36 hours a week or 2 bears / hr ( [ 40 bears * 1.8 ] / [ 40 hrs * . 90 ] ) . e = [ ( 2 - 1 ) / 1 ] * 100 % = 100 % . c\"" + }, + { + "Answer": 16.81528662420382, + "Options": "a ) 16.8 , b ) 26 , c ) 14 , d ) 12 , e ) 91", + "Correct": "a", + "Explanation": "\"2 * 22 / 7 * 10 * x = 1056 = > x = 16.8 answer : a\"" + }, + { + "Answer": 24.50602536784559, + "Options": "a ) 22 , b ) 28 , c ) 98 , d ) 24.5 , e ) 13", + "Correct": "d", + "Explanation": "\"36 / 7 r = 126 = > r = 24.5 answer : d\"" + }, + { + "Answer": 2, + "Options": "a ) 1 hr , b ) 2 hrs , c ) 3 hrs , d ) 5 hrs , e ) 6 hrs", + "Correct": "b", + "Explanation": "\"to be ( 10 + 15 ) km apart , they take 1 hour to be 50 km apart , they take 1 / 25 * 50 = 2 hrs answer is b\"" + }, + { + "Answer": 40.03639672429481, + "Options": "a ) 22 , b ) 28 , c ) 17 , d ) 12 , e ) 40", + "Correct": "e", + "Explanation": "\"2 * 22 / 7 * 14 * x = 3520 = > x = 40 answer : e\"" + }, + { + "Answer": 20625, + "Options": "a ) rs . 15000 , b ) rs . 15550 , c ) rs . 15600 , d ) rs . 20625 , e ) none of these", + "Correct": "d", + "Explanation": "solution area of the floor = ( 5.5 \u00d7 3.75 ) m 2 = 20.625 m 2 \u2234 cost of paving = rs . ( 1000 \u00d7 20.625 ) = 20625 . answer d" + }, + { + "Answer": 41.25, + "Options": "a ) 41.25 days , b ) 30.25 days , c ) 60.25 days , d ) 71.25 days , e ) 51.25 days", + "Correct": "a", + "Explanation": "explanation : 11 = ( 15 * x ) / ( 15 + x ) 165 + 11 x = 15 x 4 x = 165 x = 41.25 answer : option a" + }, + { + "Answer": 13.700000000000001, + "Options": "a ) 5.2 , b ) 7.4 , c ) 13.7 , d ) 21.2 , e ) 28.7", + "Correct": "c", + "Explanation": "\"x inches necessary to represent a distance of 383.6 miles = 383.6 / 28 = 13.7 answer c\"" + }, + { + "Answer": 26, + "Options": "a ) 20 m , b ) 26 m , c ) 11 m , d ) 10 m , e ) 15 m", + "Correct": "b", + "Explanation": "\"explanation : the difference in the timing of a and b is 5 seconds . hence , a beats b by 5 seconds . the distance covered by b in 5 seconds = ( 130 * 5 ) / 25 = 26 m hence , a beats b by 26 m . answer b\"" + }, + { + "Answer": 3.6, + "Options": "a ) 2 km , b ) 2.6 km , c ) 3.6 km , d ) 4 km , e ) none", + "Correct": "c", + "Explanation": "sol . speed downstream = ( 15 + 3 ) kmph = 18 kmph . distance travelled = [ 18 * 12 / 60 ] km = 3.6 km . answer c" + }, + { + "Answer": 4.499640028797696, + "Options": "a ) 4.49 seconds , b ) 8.89 seconds , c ) 26 seconds , d ) 12 seconds , e ) 16 seconds", + "Correct": "a", + "Explanation": "\"speed of the boat downstream = 24 + 8 = 32 kmph = 32 * 5 / 18 = 8.89 m / s hence time taken to cover 40 m = 40 / 8.89 = 4.49 seconds . answer : a\"" + }, + { + "Answer": 119.99999999999999, + "Options": "['a ) 30', 'b ) 60', 'c ) 120', 'd ) 150', 'e ) none']", + "Correct": "c", + "Explanation": "sol . number of blocks = 160 x 100 x 60 20 x 20 x 20 ] = 120 . answer c" + }, + { + "Answer": 30, + "Options": "a ) 15 hrs , b ) 20 hrs , c ) 25 hrs , d ) 30 hrs , e ) 32 hrs", + "Correct": "d", + "Explanation": "part filled by a in 1 hour = 1 / 50 part filled by b in 1 hour = 1 / 75 part filled by a + b in 1 hour = 1 / 50 + 1 / 75 = 1 / 30 both the pipes will together will fill the tank in 30 hours . answer is d" + }, + { + "Answer": 81.00000000000003, + "Options": "a ) 91 , b ) 87 , c ) 85 , d ) 81 , e ) none of them", + "Correct": "d", + "Explanation": "remaining work = ( 1 - ( 4 / 7 ) = ( 3 / 7 ) remaining period = ( 46 - 33 ) days = 13 days let the total men working at it be x . less work , less men ( direct proportion ) less days , more men ( indirect proportion ) more hours per day , less men ( indirect proportion ) work ( 4 / 7 ) : ( 3 / 7 ) days 13 : 33 } : : 117 : x hrs / day 9 : 8 therefore ( 4 / 7 ) x 13 x 9 x x = ( 3 / 7 ) x 33 x 8 x 117 or x = ( 3 x 33 x 8 x 117 ) / ( 4 x 13 x 9 ) = 198 additional men to be employed = ( 198 - 117 ) = 81 . answer is d ." + }, + { + "Answer": 12.00000000000001, + "Options": "a ) 5 , b ) 8 , c ) 10 , d ) 12 , e ) 15", + "Correct": "d", + "Explanation": "\"each hour they complete 1 / 4 + 1 / 15 = 19 / 60 of the job . in 3 hours , they complete 3 ( 19 / 60 ) = 19 / 20 of the job . the time for p to finish is ( 1 / 20 ) / ( 1 / 4 ) = ( 1 / 5 ) hour = 12 minutes the answer is d .\"" + }, + { + "Answer": 19999.999999999993, + "Options": "['a ) 18000 m 2', 'b ) 20000 m 2', 'c ) 19000 m 2', 'd ) 25000 m 2', 'e ) 15000 m 2']", + "Correct": "b", + "Explanation": "length of the diagonal = distance covered in 3 min . at 4 km / hr . = ( 4000 / 60 * 3 ) = 200 m . therefore , area of the field = 1 / 2 * diagonal 2 = \u00bd * 200 * 200 = 20000 m 2 answer : b" + }, + { + "Answer": 1, + "Options": "a ) 2.9 kmph , b ) 9.9 kmph , c ) 1.3 kmph , d ) 1 kmph , e ) 5.7 kmph", + "Correct": "d", + "Explanation": "\"10 / 36 m / s = 10 / 36 * 18 / 5 = 1 / 1 = 1 kmph . answer : d\"" + }, + { + "Answer": 22, + "Options": "a ) 22 , b ) 77 , c ) 36 , d ) 25 , e ) 13", + "Correct": "a", + "Explanation": "\"explanation : less men , means more days { indirect proportion } let the number of days be x then , 27 : 33 : : 18 : x [ please pay attention , we have written 27 : 33 rather than 33 : 27 , in indirect proportion , if you get it then chain rule is clear to you : ) ] { \\ color { blue } x = \\ frac { 33 \\ times 18 } { 27 } } x = 22 so 22 days will be required to get work done by 27 men . answer : a\"" + }, + { + "Answer": 10, + "Options": "a ) 13 , b ) 9 , c ) 15 , d ) 8 , e ) 10", + "Correct": "e", + "Explanation": "\"son ' s 1 day ' s work = ( 1 / 6 ) - ( 1 / 15 ) = 3 / 30 = 1 / 10 the son alone can do the work in 10 days answer is e\"" + }, + { + "Answer": 270, + "Options": "a ) 240 , b ) 200 , c ) 270 , d ) 300 , e ) 310", + "Correct": "c", + "Explanation": "\"no . of letters typing by 20 typists in 20 minutes = 60 no . of letters typing by 20 typists in 60 minutes = 60 * 3 = 180 no . of letters typing by 30 typists in 60 minutes = 180 / 20 * 30 = 270 answer : c\"" + }, + { + "Answer": 240, + "Options": "a ) 290 sec , b ) 190 sec , c ) 199 sec , d ) 192 sec , e ) 240 sec", + "Correct": "e", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 10 ) / 40 = 250 sec . time taken by a = 250 - 10 = 240 sec . answer : e\"" + }, + { + "Answer": 6, + "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", + "Correct": "c", + "Explanation": "\"dan can complete 1 / 15 of the job per hour . in 6 hours , dan completes 6 ( 1 / 15 ) = 2 / 5 of the job . annie can complete 1 / 10 of the job per hour . to complete the job , annie will take 3 / 5 / 1 / 10 = 6 hours . the answer is c .\"" + }, + { + "Answer": 960, + "Options": "a ) 900 cm cube , b ) 910 cm cube , c ) 920 cm cube , d ) 930 cm cube , e ) 960 cm cube", + "Correct": "e", + "Explanation": "\"area of a cuboid = lxbxh = 8 cm x 10 cm x 12 cm = 960 cm cube answer : e\"" + }, + { + "Answer": 37.89473684210527, + "Options": "a ) 38 kmh , b ) 40 kmh , c ) 42 kmh , d ) 44 kmh , e ) 50 kmh", + "Correct": "a", + "Explanation": "\"assume d / 3 = 240 ( this number is convenient because it is divisible by 60 , 24 and 48 ) so : 240 = 60 * t 1 = 4 hrs 240 = 24 * t 2 = 10 hrs 240 = 48 * t 3 = 5 hrs t = t 1 + t 2 + t 3 = 19 hrs d = rt ( 240 * 3 ) = r * 19 r = 38 answer : a\"" + }, + { + "Answer": 11.010009099181074, + "Options": "a ) a ) 15 , b ) b ) 10 , c ) c ) 14 , d ) d ) 12 , e ) e ) 11", + "Correct": "e", + "Explanation": "\"2 * 22 / 7 * 14 * x = 968 = > x = 11 answer : e\"" + }, + { + "Answer": 16.918646508279338, + "Options": "a ) 16.92 sec , b ) 14.8 sec , c ) 10.68 sec , d ) 10.8 sec , e ) 20.8 sec", + "Correct": "a", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 210 + 260 = 470 m . required time = 470 * 9 / 250 = 16.92 = 16.92 sec . answer : a\"" + }, + { + "Answer": 245, + "Options": "a ) 150 min , b ) 245 min , c ) 185 min , d ) 300 min , e ) 205 min", + "Correct": "b", + "Explanation": "b it will take 49 cuts not 50 . so 49 * 5 = > 245 minutes" + }, + { + "Answer": 16, + "Options": "a ) 87 days , b ) 16 days , c ) 55 days , d ) 44 days , e ) 22 days", + "Correct": "b", + "Explanation": "\"total work to be done = 30 * 40 = 1200 let 14 men leave the work after ' p ' days , so that the remaining work is completed in 40 days after they leave the work . 40 p + ( 14 * 40 ) = 1200 40 p = 640 = > p = 16 days answer : b\"" + }, + { + "Answer": 40, + "Options": "a ) 30 days , b ) 40 days , c ) 50 days , d ) 60 days , e ) 70 days", + "Correct": "b", + "Explanation": "explanation : let 1 man ' s 1 day work = x and 1 woman ' s 1 days work = y . then , 4 x + 6 y = 1 / 8 and 3 x + 7 y = 1 / 10 solving , we get y = 1 / 400 [ means work done by a woman in 1 day ] 10 women 1 day work = 10 / 400 = 1 / 40 10 women will finish the work in 40 days option b" + }, + { + "Answer": 25, + "Options": "a ) 22 , b ) 25 , c ) 27 , d ) 38 , e ) 30", + "Correct": "b", + "Explanation": "alice walks 5 km in the first hour so there are 36 km remaining . when bob starts walking , they complete a total of 9 km per hour . they will meet four hours after bob starts walking . since alice walks for 5 hours , she walks 25 km . the answer is b ." + }, + { + "Answer": 6.794285714285714, + "Options": "a ) 6.24 km , b ) 6 km , c ) 6.79 km , d ) 5.66 km , e ) 10 km", + "Correct": "c", + "Explanation": "\"m = 7 s = 1.2 ds = 8.2 us = 5.8 x / 8.2 + x / 5.8 = 1 x = 3.40 d = 3.40 * 2 = 6.79 answer : c\"" + }, + { + "Answer": 25, + "Options": "a ) 25 kmph , b ) 85 kmph , c ) 34 kmph , d ) 23 kmph , e ) 45 kmph", + "Correct": "a", + "Explanation": "\"s = ( 20 + 30 ) / 2 = 25 kmph answer : a\"" + }, + { + "Answer": 64, + "Options": "a ) 33 , b ) 88 , c ) 27 , d ) 64 , e ) 99", + "Correct": "d", + "Explanation": "\"4 / 3 \u00ef \u20ac * 4 * 4 * 4 = 4 / 3 \u00ef \u20ac * 1 * 1 * 1 * x x = 64 answer : d\"" + }, + { + "Answer": 12, + "Options": "a ) 24 , b ) 23 , c ) 22 , d ) 21 , e ) 12", + "Correct": "e", + "Explanation": "\"when b started walking y already has covered 3 miles out of 24 , hence the distance at that time between them was 24 - 3 = 21 miles . combined rate of b and y was 3 + 4 = 7 miles per hour , hence they would meet each other in 21 / 7 = 3 hours . in 6 hours b walked 3 * 4 = 12 miles . answer : e .\"" + }, + { + "Answer": 3, + "Options": "a ) 6 days , b ) 5 days , c ) 3 days , d ) 7 days , e ) 12 days", + "Correct": "c", + "Explanation": "first take lcm of ( 20,12 ) = 60 ; total work = 60 ; a ' s one day work = 60 / 20 = 3 ; b ' s one day work = 60 / 12 = 5 ; one day work of both a + b = 3 + 5 = 8 ; total work completed in 3 days = 8 * 3 = 24 ; remaining work is = 60 - 24 = 36 ; remaining work completed by b in = 36 / 12 = 3 days . answer = c" + }, + { + "Answer": 659.7344572538566, + "Options": "a ) 655.9 , b ) 659.75 , c ) 650.57 , d ) 655.9 , e ) 600.3", + "Correct": "b", + "Explanation": "\"2 * 22 / 7 * 14 = 131.95 131.95 * 5 = rs . 659.75 answer : b\"" + }, + { + "Answer": 80, + "Options": "a ) 46 m , b ) 60 m , c ) 58 m , d ) 78 m , e ) 80 m", + "Correct": "e", + "Explanation": "\"let breadth = x metres . then , length = ( x + 60 ) metres . perimeter = 5300 / 26.5 m = 200 m . 2 [ ( x + 60 ) + x ] = 200 2 x + 60 = 100 2 x = 40 x = 20 . hence , length = x + 60 = 80 m e\"" + }, + { + "Answer": 285, + "Options": "a ) 178 cm 2 , b ) 179 cm 2 , c ) 285 cm 2 , d ) 167 cm 2 , e ) 197 cm 2", + "Correct": "c", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 15 ) = 285 cm 2 answer : c\"" + }, + { + "Answer": 20, + "Options": "a ) 22 , b ) 24 , c ) 20 , d ) 25 , e ) 27", + "Correct": "c", + "Explanation": "\"ratio of times taken by mary and rosy = 140 : 100 = 14 : 10 suppose rosy takes x days to do the work . 14 : 10 : : 28 : x = > x = 20 days . hence , rosy takes 20 days to complete the work . answer : c\"" + }, + { + "Answer": 3.333333333333333, + "Options": "a ) 3.33 days , b ) 3.99 days , c ) 2.99 days , d ) 2.98 days , e ) 2.44 days", + "Correct": "a", + "Explanation": "\"1 / 5 + 1 / 10 = 3 / 10 10 / 3 = 3.33 days answer : a\"" + }, + { + "Answer": 125.00000000000003, + "Options": "a ) 44 % , b ) 100 % , c ) 105 % , d ) 225 % , e ) 125 %", + "Correct": "e", + "Explanation": "\"tom chops 4 lbs in 6 minutes tammy chops 9 lbs in 6 minutes so in the same amount of time , tom chops 125 % less than tammy , since 9 is 125 % greater than 4 . so 125 % is the answer . note that the actual time does n ' t matter . if you multiply the time each work by x , you ' ll multiply the work each does by x , and 9 x is still 125 % greater than 4 x . ans : e\"" + }, + { + "Answer": 14, + "Options": "a ) 4 , b ) 5 , c ) 14 , d ) 12 , e ) none of these", + "Correct": "c", + "Explanation": "\"the part of job that suresh completes in 9 hours = 9 \u00e2 \u0081 \u201e 15 = 3 \u00e2 \u0081 \u201e 5 remaining job = 1 - 3 \u00e2 \u0081 \u201e 5 = 2 \u00e2 \u0081 \u201e 5 remaining job can be done by ashutosh in 2 \u00e2 \u0081 \u201e 5 \u00e3 \u2014 35 = 14 hours answer c\"" + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 25 , c ) 60 , d ) 30 , e ) 20", + "Correct": "a", + "Explanation": "\"a + b 10 days work = 10 * 1 / 40 = 1 / 4 remaining work = 1 - 1 / 4 = 3 / 4 3 / 4 work is done by a in 9 days whole work will be done by a in 9 * 4 / 3 = 12 days answer is a\"" + }, + { + "Answer": 5.768769267689355, + "Options": "a ) 53 / 10 , b ) 55 / 10 , c ) 56 / 10 , d ) 57 / 10 , e ) 58 / 10", + "Correct": "e", + "Explanation": "\"they are moving in opposite directions , relative speed is equal to the sum of their speeds . relative speed = ( 64 + 92 ) * 5 / 18 = 43.3 mps . the time required = d / s = 250 / 43.3 = 58 / 10 sec . answer : e\"" + }, + { + "Answer": 18, + "Options": "a ) 18 , b ) 12 , c ) 11 , d ) 19 , e ) 114", + "Correct": "a", + "Explanation": "\"suppose a , b and c take x , x / 2 and x / 3 respectively to finish the work . then , ( 1 / x + 2 / x + 3 / x ) = 1 / 3 6 / x = 1 / 3 = > x = 18 so , b takes 9 hours to finish the work . answer : a\"" + }, + { + "Answer": 0.25, + "Options": "a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6", + "Correct": "c", + "Explanation": "\"4 / 12 * 3 / 4 = 1 / 4 the answer is c .\"" + }, + { + "Answer": 12.099032077433806, + "Options": "a ) 15 seconds , b ) 12.1 seconds , c ) 10 seconds , d ) 8.1 seconds , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : speed = 72 km / hour = 72 * ( 5 / 18 ) m / sec = 20 m / sec total distance to be covered = 110 + 132 = 142 meters time = distance / speed = 242 / 20 = 12.1 seconds option b\"" + }, + { + "Answer": 7.199999999999999, + "Options": "a ) 5.2 days , b ) 9.2 days , c ) 8.2 days , d ) 6.2 days , e ) 7.2 days", + "Correct": "e", + "Explanation": "lcm = 180 no of days = [ 180 / ( 180 / 15 + 180 / 20 + 180 / 45 ) = [ 180 / ( 12 + 9 + 4 ) ] = [ 180 / 25 ] = 7.2 days answer : e" + }, + { + "Answer": 13.568145317605362, + "Options": "a ) 13.6 sec , b ) 12.1 sec , c ) 17.9 sec , d ) 61.9 sec , e ) 47.98 sec", + "Correct": "a", + "Explanation": "\"speed = 65 * 5 / 18 = 18 m / sec total distance covered = 100 + 145 = 245 m . required time = 245 / 18 = 13.6 sec . answer : a\"" + }, + { + "Answer": 360, + "Options": "a ) 238 , b ) 360 , c ) 377 , d ) 277 , e ) 291", + "Correct": "b", + "Explanation": "at 15 : 15 both minute and hour hands will be in same position . hence the angle between them will be zero degrees . however 360 degree also means both minute and hour hands are in same position . hence correct answers are both zero and 360 degrees answer : b" + }, + { + "Answer": 64, + "Options": "a ) 54 m , b ) 64 m , c ) 74 m , d ) 84 m , e ) 94 m", + "Correct": "b", + "Explanation": "\"let breadth = x metres . then , length = ( x + 28 ) metres . perimeter = 5300 m = 200 m . 26.50 2 [ ( x + 28 ) + x ] = 200 2 x + 28 = 100 2 x = 72 x = 36 . hence , length = x + 28 = 64 m b\"" + }, + { + "Answer": 14.998800095992323, + "Options": "a ) 6.67 seconds , b ) 18 seconds , c ) 26 seconds , d ) 14.99 seconds , e ) 6 seconds", + "Correct": "d", + "Explanation": "\"speed of the boat downstream = 18 + 6 = 24 kmph = 24 * 5 / 18 = 6.67 m / s hence time taken to cover 100 m = 100 / 6.67 = 14.99 seconds . answer : d\"" + }, + { + "Answer": 1.4285714285714286, + "Options": "a ) 1.42 hr , b ) 2.22 hrs , c ) 3.24 hrs , d ) 5 hrs , e ) 6.02 hrs", + "Correct": "a", + "Explanation": "\"to be ( 10 + 25 ) km apart , they take 1 hour to be 50 km apart , they take 1 / 35 * 50 = 1.42 hrs answer is a\"" + }, + { + "Answer": 240.03999999999996, + "Options": "a ) 230 m , b ) 240 m , c ) 260 m , d ) 320 m , e ) 330 m", + "Correct": "b", + "Explanation": "\"relative speed = ( 120 + 80 ) km / hr = ( 200 x ( 5 / 18 ) ) m / sec = ( 500 / 9 ) m / sec . let the length of the other train be x metres . then , ( x + 260 ) / 9 = 500 / 9 x + 260 = 500 x = 240 . b\"" + }, + { + "Answer": 2, + "Options": "a ) 3 hrs , b ) 7 hrs , c ) 9 hrs , d ) 2 hrs , e ) 6 hrs", + "Correct": "d", + "Explanation": "explanation : speed in downstream = 96 / 8 = 12 kmph speed of current = 4 km / hr speed of the boatman in still water = 12 \u00e2 \u20ac \u201c 4 = 8 kmph speed in upstream = 8 \u00e2 \u20ac \u201c 4 = 4 kmph time taken to cover 8 km upstream = 8 / 4 = 2 hours . answer : d" + }, + { + "Answer": 30, + "Options": "a ) 12 , b ) 15 , c ) 20 , d ) 24 , e ) 30", + "Correct": "e", + "Explanation": "gear q makes 30 more revolutions each 60 seconds . the time to make 15 = 30 / 2 more revolutions is 60 / 2 = 30 seconds . the answer is e ." + }, + { + "Answer": 51.42857142857143, + "Options": "a ) 51.1 minutes , b ) 51.3 minutes , c ) 51.5 minutes , d ) 51.7 minutes , e ) 51.9 minutes", + "Correct": "c", + "Explanation": "we first calculate the rate of work of john and linda john : 1 / 1.5 and linda 1 / 2 let t be the time for john and linda to mow the lawn . the work done by john alone is given by t * ( 1 / 1.5 ) the work done by linda alone is given by t * ( 1 / 2 ) when the two work together , their work will be added . hence t * ( 1 / 1.5 ) + t * ( 1 / 2 ) = 1 multiply all terms by 6 6 ( t * ( 1 / 1.5 ) + t * ( 1 / 2 ) ) = 6 and simplify 4 t + 3 t = 6 solve for t t = 6 / 7 hours = 51.5 minutes . answer c" + }, + { + "Answer": 120000, + "Options": "a ) 20000 , b ) 14000 , c ) 23000 , d ) 120000 , e ) none of these", + "Correct": "d", + "Explanation": "explanation : number of wheel moves in 1 hour = 10 * 60 = 600 distance moved = 600 * 200 = 12000 answer : d" + }, + { + "Answer": 52.111111111111114, + "Options": "a ) 48 kmph , b ) 50 kmph , c ) 52 kmph , d ) 56 kmph , e ) 60 kmph", + "Correct": "c", + "Explanation": "\"time = 6 distence = 469 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 469 / 9 = 52 kmph c\"" + }, + { + "Answer": 11.999999999999998, + "Options": "a ) 10 hours , b ) 20 hours , c ) 30 hours , d ) 40 hours , e ) 12 hours", + "Correct": "e", + "Explanation": "\"if leakage / hour = 1 / x , then 1 / 4 - 1 / x = 1 / 6 , solving 1 / x = 1 / 12 so in 12 hours full cistern will be empty . answer : e\"" + }, + { + "Answer": 5, + "Options": "a ) 2 , b ) 8 , c ) 1 , d ) 3 , e ) 5", + "Correct": "e", + "Explanation": "explanation : use formula for a work members \u00e3 \u2014 days = constant 5 \u00e3 \u2014 6 = 6 \u00e3 \u2014 a a = 5 so answer is 3 days answer : e" + }, + { + "Answer": 10, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 15", + "Correct": "c", + "Explanation": "\"gear q makes 30 more revolutions each 60 seconds . the time to make 5 = 30 / 6 more revolutions is 60 / 6 = 10 seconds . the answer is c .\"" + }, + { + "Answer": 260, + "Options": "a ) 125 miles , b ) 225 miles , c ) 260 miles , d ) 425 miles , e ) 525 miles", + "Correct": "c", + "Explanation": "during each hour , the car travels 65 miles . for 4 hours it will travel 65 + 65 + 65 + 65 = 4 \u00d7 65 = 260 miles correct answer is c ) 260 miles" + }, + { + "Answer": 176.47058823529414, + "Options": "a ) 111.12 , b ) 111.67 , c ) 111.64 , d ) 111.11 , e ) 176.47", + "Correct": "e", + "Explanation": "\"a runs 1000 m while b runs 850 m and c runs 700 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 700 ) / 850 = 823.53 m . b can give c = 1000 - 823.53 = 176.47 m . answer : e\"" + }, + { + "Answer": 50.024, + "Options": "a ) 50 m , b ) 200 m , c ) 250 m , d ) 270 m , e ) 300 m", + "Correct": "a", + "Explanation": "\"d = 72 * 5 / 18 = 15 = 300 \u00e2 \u20ac \u201c 250 = 50 m answer : a\"" + }, + { + "Answer": 19.411764705882355, + "Options": "a ) 15 days , b ) 16 days , c ) 19.4 days , d ) 17.2 days , e ) 18 days", + "Correct": "c", + "Explanation": "\"lcm = 330 , ratio = 30 : 45 = 6 : 11 no of days = 330 / ( 6 + 11 ) = 330 / 17 = 19.4 days answer : c\"" + }, + { + "Answer": 37.714285714285715, + "Options": "['a ) 40 m 2', 'b ) 44 m 2', 'c ) 48 m 2', 'd ) 37.7 m 2', 'e ) none of these']", + "Correct": "d", + "Explanation": "required area covered in 5 revolutions = 5 \u00e3 \u2014 2 \u00ef \u20ac rh = 5 \u00e3 \u2014 2 \u00e3 \u2014 22 \u00e2 \u0081 \u201e 7 \u00e3 \u2014 0.6 \u00e3 \u2014 2 = 37.7 m 2 answer d" + }, + { + "Answer": 175, + "Options": "a ) 160 , b ) 175 , c ) 180 , d ) 185 , e ) 195", + "Correct": "b", + "Explanation": "suppose the man works overtime for x hours . now , working hours in 4 weeks = ( 5 x 8 x 4 ) = 160 . 160 x 2.40 + x x 3.20 = 432 3.20 x = 432 - 384 = 48 x = 15 . hence , total hours of work = ( 160 + 15 ) = 175 . answer : option b" + }, + { + "Answer": 165.0563499208679, + "Options": "a ) 165 m , b ) 120 m , c ) 100 m , d ) 190 m , e ) 220 m", + "Correct": "a", + "Explanation": "\"let inner radius be r metres . then , 2 \u03c0 r = 880 \u21d4 r = ( 880 x ( 7 / 44 ) ) = 140 m . radius of outer circle = ( 140 + 25 ) m = 165 m . hence a\"" + }, + { + "Answer": 210, + "Options": "a ) 105 , b ) 140 , c ) 175 , d ) 210 , e ) 245", + "Correct": "d", + "Explanation": "\"in 72 minutes , car x travels 42 miles . car y gains 7 miles each hour , so it takes 6 hours to catch car x . in 6 hours , car x travels 210 miles . the answer is d .\"" + }, + { + "Answer": 1.090909090909091, + "Options": "a ) 1 hour , b ) 1.1 hour , c ) 3 hours , d ) 5 hours , e ) 6 hours", + "Correct": "b", + "Explanation": "\"first pump drains 1 / 2 of the tank in 6 hours so 12 hours it will take to drain the full tank . let , 2 nd pump drains the full tank in a hours so both together can drain ( 1 / 12 + 1 / a ) part in 1 hour son in 1 / 2 hour they drain 1 / 2 * ( 1 / 12 + 1 / a ) part of the tank given that in 1 / 2 hour they drain 1 / 2 of the tank hence we can say 1 / 2 * ( 1 / 12 + 1 / a ) = 1 / 2 solving u get a = 12 / 11 = 1.1 hence answer is b\"" + }, + { + "Answer": 292.29411764705884, + "Options": "a ) 291 , b ) 292 , c ) 293 , d ) 384 , e ) 285", + "Correct": "c", + "Explanation": "\"the diff in sec between 1 : 57 : 58 and 3 : 20 : 47 is 4969 sec , 4969 / 17 = 292 . so total 293 times light ll glow answer : c\"" + }, + { + "Answer": 11.999040076793857, + "Options": "a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", + "Correct": "a", + "Explanation": "\"the speeds are 90000 / 3600 = 25 m / s and 108000 / 3600 = 30 m / s the relative speed is 55 m / s . time = 660 / 55 = 12 seconds the answer is a .\"" + }, + { + "Answer": 500, + "Options": "a ) 600 , b ) 300 , c ) 400 , d ) 500 , e ) 200", + "Correct": "d", + "Explanation": "speed = 78 * 5 / 18 m / sec = = > 65 / 3 length of the tunnel be x then 800 + x / 60 = 65 / 3 3 ( 800 + x ) = 3900 x = 500 answer d" + }, + { + "Answer": 10, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 10 , e ) none of these", + "Correct": "d", + "Explanation": "\"the part of job that suresh completes in 9 hours = 9 \u00e2 \u0081 \u201e 15 = 3 \u00e2 \u0081 \u201e 5 remaining job = 1 - 3 \u00e2 \u0081 \u201e 5 = 2 \u00e2 \u0081 \u201e 5 remaining job can be done by ashutosh in 2 \u00e2 \u0081 \u201e 5 \u00e3 \u2014 25 = 10 hours answer d\"" + }, + { + "Answer": 0.7666666666666666, + "Options": "a ) 23 / 20 , b ) 5 , c ) 23 / 30 , d ) 23 / 12 , e ) 2", + "Correct": "c", + "Explanation": "\"ans is : c a ' s 1 day ' s work = 1 / 15 b ' s 1 day ' s work = 1 / 20 ( a + b ) ' s 1 day ' s work = ( 1 / 15 + 1 / 20 ) = 7 / 60 ( a + b ) ' s 2 day ' s work = ( 7 / 60 * 2 ) = 7 / 30 therefore , remaining work = ( 1 - 7 / 30 ) = 23 / 30 . ans : c\"" + }, + { + "Answer": 8112, + "Options": "a ) 15840 , b ) 3388 , c ) 2667 , d ) 8112 , e ) 66711", + "Correct": "d", + "Explanation": "\"a 2 = 24336 = > a = 156 4 a = 624 624 * 13 = 8112 answer : d\"" + }, + { + "Answer": 7.199424046076314, + "Options": "a ) 7.16 , b ) 7.16 , c ) 7.12 , d ) 7.15 , e ) 7.2", + "Correct": "e", + "Explanation": "\"t = ( 125 + 165 ) / ( 80 + 65 ) * 18 / 5 t = 7.2 answer : e\"" + }, + { + "Answer": 27, + "Options": "a ) 9 , b ) 27 , c ) 10 , d ) 8.5 , e ) 6", + "Correct": "b", + "Explanation": "\"81 / 3 = 27 answer : b\"" + }, + { + "Answer": 1.5, + "Options": "a ) 3 , b ) 1.5 , c ) 2.3 , d ) 1.8 , e ) 6", + "Correct": "b", + "Explanation": "\"m = 16 s = 8 us = 16 - 8 = 8 d = 12 t = 12 / 8 = 1.5 answer : b\"" + }, + { + "Answer": 144, + "Options": "a ) 22 kmph , b ) 77 kmph , c ) 144 kmph , d ) 71 kmph , e ) 88 kmph", + "Correct": "c", + "Explanation": "\"s = 640 / 16 * 18 / 5 = 144 kmph answer : c\"" + }, + { + "Answer": 0.5, + "Options": "a ) 2 / 6 , b ) 3 / 6 , c ) 4 / 6 , d ) 6 / 4 , e ) 5 / 6", + "Correct": "b", + "Explanation": "\"no of cups leaked during the trip = 3 cups . no of cups harry drank = 6 cups . no of cups harry drank during the first 6 miles = 3 . drink / mile = 3 / 6 answer : b\"" + }, + { + "Answer": 9.999999999999998, + "Options": "a ) 10 sec , b ) 11 sec , c ) 12 sec , d ) 13 sec , e ) 14 sec", + "Correct": "a", + "Explanation": "total distance = ( 1 / 6 ) + ( 1 / 6 ) = 1 / 3 miles relative speed = ( 50 + 70 ) mph = 120 mph time taken = ( 1 / 3 ) / ( 120 ) hours = 10 seconds answer : a" + }, + { + "Answer": 12.5, + "Options": "a ) 10.5 , b ) 12.5 , c ) 13.5 , d ) 11.5 , e ) 11", + "Correct": "b", + "Explanation": "\"1000 * 15 = 1200 * x x = 12.5 answer b\"" + }, + { + "Answer": 750, + "Options": "a ) 299 , b ) 266 , c ) 299 , d ) 750 , e ) 261", + "Correct": "d", + "Explanation": "\"speed = [ 90 * 5 / 18 ] m / sec = 25 m / sec ; time = 1 min . = 60 sec . let the length of the train and that of the platform be x meters . then , 2 x / 60 = 25 \u00e8 x = 25 * 60 / 2 = 750 answer : d\"" + }, + { + "Answer": 210, + "Options": "a ) 150 , b ) 170 , c ) 190 , d ) 210 , e ) 230", + "Correct": "d", + "Explanation": "\"after two hours , train a is ahead by 60 miles . train b can catch up at a rate of 12 miles per hour . the time to catch up is 60 / 12 = 5 hours . in 5 hours , train a travels another 30 * 5 = 150 miles for a total of 210 miles . the answer is d .\"" + }, + { + "Answer": 247, + "Options": "a ) 178 cm 2 , b ) 179 cm 2 , c ) 285 cm 2 , d ) 247 cm 2 , e ) 197 cm 2", + "Correct": "d", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 13 ) = 247 cm 2 answer : d\"" + }, + { + "Answer": 80, + "Options": "a ) 228 , b ) 108 , c ) 1266 , d ) 188 , e ) 80", + "Correct": "e", + "Explanation": "\"s = 200 / 9 * 18 / 5 = 80 kmph answer : e\"" + }, + { + "Answer": 300, + "Options": "a ) 330 , b ) 300 , c ) 270 , d ) 250 , e ) 350", + "Correct": "b", + "Explanation": "\"the other number = l . c . m * h . c . f / given number = 2310 * 30 / 231 = 300 answer is b .\"" + }, + { + "Answer": 198, + "Options": "a ) 36 , b ) 198 , c ) 132 , d ) 264 , e ) 364", + "Correct": "b", + "Explanation": "\"12 * 396 = 24 * x x = 198 answer : b\"" + }, + { + "Answer": 11.159107271418288, + "Options": "a ) 10.9 sec , b ) 10.1 sec , c ) 10.6 sec , d ) 10.8 sec , e ) 11.16 sec", + "Correct": "e", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 140 + 170 = 310 m . required time = 310 * 9 / 250 = 11.16 sec . answer : e\"" + }, + { + "Answer": 17.5, + "Options": "a ) 17.2 , b ) 16.5 , c ) 17.5 , d ) 17.9 , e ) 17.3", + "Correct": "c", + "Explanation": "\"let the number of men originally employed be x . 6 x = 10 ( x \u00e2 \u20ac \u201c 7 ) or x = 17.5 answer c\"" + }, + { + "Answer": 6.1224489795918355, + "Options": "a ) 6.12 hr , b ) 8 hr , c ) 8.5 hr , d ) 10 hr , e ) none of these", + "Correct": "a", + "Explanation": "solution : work done by all the tanks working together in 1 hour . 1 / 10 + 1 / 12 \u2212 1 / 50 = 8 / 49 hence , tank will be filled in 49 / 8 = 6.12 hour option ( a )" + }, + { + "Answer": 3, + "Options": "a ) 1.0 , b ) 1.5 , c ) 2.0 , d ) 2.5 , e ) 3.0", + "Correct": "e", + "Explanation": "in the third time interval the average speed of the car was 22 + 5 + 5 = 36 miles per hour ; in 5 minutes ( 1 / 12 hour ) at that speed car would travel 36 * 1 / 12 = 3 miles . answer : e ." + }, + { + "Answer": 32.99736021118311, + "Options": "a ) 28 , b ) 27 , c ) 33 , d ) 18 , e ) 12", + "Correct": "c", + "Explanation": "\"t = ( 660 + 165 ) / 90 * 18 / 5 t = 33 answer : c\"" + }, + { + "Answer": 60, + "Options": "a ) 12 kg , b ) 60 kg , c ) 72 kg , d ) 96 kg , e ) none", + "Correct": "b", + "Explanation": "\"solution volume of water displaced = ( 3 x 2 x 0.01 ) m 3 = 0.06 m 3 . mass of man = volume of water displaced \u00d7 density of water = ( 0.06 \u00d7 1000 ) kg = 60 kg . answer b\"" + }, + { + "Answer": 1, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "a", + "Explanation": "each expert can write 1 / 72 of the book per day . to complete the book in 18 days , we need 72 / 18 = 4 experts , thus 1 more expert is needed . the answer is a ." + }, + { + "Answer": 6, + "Options": "a ) 6 meters , b ) 7 meters , c ) 8 meters , d ) 9 meters , e ) 10 meters", + "Correct": "a", + "Explanation": "\"length of carpet = total cost / rate = 3600 / 30 = 120 m area of carpet = ( 120 x 75 ) / 100 m 2 = 90 m 2 \u2234 area of the room = 90 m 2 breadth of the room = area / length = 90 / 15 m = 6 m answer : a\"" + }, + { + "Answer": 1716.3636363636363, + "Options": "a ) 1780 , b ) 1716 , c ) 1890 , d ) 1980 , e ) 1450", + "Correct": "b", + "Explanation": "speed of aeroplane = 590 kmph distance travelled in 8 hours = 590 * 8 = 4720 km speed of aeroplane to acver 4720 km in 11 / 4 = 4720 * 4 / 11 = 1716 km answer b ." + }, + { + "Answer": 16, + "Options": "a ) 12 , b ) 18 , c ) 16 , d ) 20 , e ) 24", + "Correct": "c", + "Explanation": "in 1 day , 12 boys does 1 / 24 of the total work . = > in 1 day , 1 boy does 1 / ( 24 * 12 ) of the total work = > in 1 days , 6 boys do 6 / ( 24 * 12 ) = 1 / 48 of the total work in 1 day , 12 girls do 1 / 12 of the total work . = > in 1 day , 1 girl does 1 / ( 12 * 12 ) of the total work = > in 1 day , 6 girls do 6 / ( 12 * 12 ) = 1 / 24 of the total work in 1 day , 6 boys and 6 girls do 1 / 48 + 1 / 24 of the total work = > in 1 days , 6 boys and 6 girls do 3 / 48 = 1 / 16 of the total work so , 6 boys and 6 girls complete all work in 16 days . hence , the answer is c" + }, + { + "Answer": 72.00000000000001, + "Options": "a ) 30 , b ) 36 , c ) 42 , d ) 48 , e ) 72", + "Correct": "e", + "Explanation": "\"speed is inversly proprtional to time walking at 75 % of speed meand 3 / 4 s takes 4 / 3 t . it takes 24 minutes extra to cover the distance . then 4 / 3 t = t + 24 4 t = 3 t + 72 t = 72 option e is correct\"" + }, + { + "Answer": 80.99999999999999, + "Options": "a ) 22 , b ) 88 , c ) 81 , d ) 66 , e ) 22", + "Correct": "c", + "Explanation": "by that time anusha covered 100 m , bhanu covered 90 m . so ratio of their speeds = 10 : 9 by that time bhanu reached 100 m , esha covered 90 m . so ratio of their speeds = 10 : 9 ratio of the speed of all the three = 100 : 90 : 81 by that time anusha covered 100 m , esha covers only 81 . answer : c" + }, + { + "Answer": 110.00000000000001, + "Options": "a ) 75 % , b ) 80 % , c ) 100 % , d ) 110 % , e ) 125 %", + "Correct": "d", + "Explanation": "\"the radius of tank a is 11 / ( 2 * pi ) . the capacity of tank a is 10 * pi * 121 / ( 4 * pi ^ 2 ) = 605 / ( 2 * pi ) the radius of tank b is 10 / ( 2 * pi ) . the capacity of tank b is 11 * pi * 100 / ( 4 * pi ^ 2 ) = 550 / ( 2 * pi ) tank a / tank b = 605 / 550 = 11 / 10 = 110 % the answer is d .\"" + }, + { + "Answer": 4000, + "Options": "a ) 1400 , b ) 2400 , c ) 4000 , d ) 7000 , e ) 3400", + "Correct": "c", + "Explanation": "\"number of bricks = volume of the wall / volume of 1 brick = ( 800 x 600 x 22.5 ) / ( 40 x 11.25 x 6 ) = 4000 answer : c\"" + }, + { + "Answer": 2.571428571428571, + "Options": "a ) 2.57 hrs , b ) 5 hrs , c ) 6.57 hrs , d ) 7.2 hrs , e ) 9.27 hrs", + "Correct": "a", + "Explanation": "\"net part filled in 1 hour = 1 / 2 - 1 / 9 = 7 / 18 therefore the cistern will be filled in 18 / 7 hours or 2.57 hours . answer : a\"" + }, + { + "Answer": 180, + "Options": "a ) 120 , b ) 160 , c ) 210 , d ) 368 , e ) 180", + "Correct": "e", + "Explanation": "\"6 * 5 * 6 = 180 answer : e\"" + }, + { + "Answer": 66, + "Options": "a ) 18 , b ) 27 , c ) 98 , d ) 27 , e ) 66", + "Correct": "e", + "Explanation": "let the pipe b be closed after x minutes . 30 / 8 - x / 24 = 1 = > x / 24 = 30 / 8 - 1 = 11 / 4 = > x = 11 / 4 * 24 = 66 . answer : e" + }, + { + "Answer": 11.210191082802547, + "Options": "a ) 18 , b ) 11.2 , c ) 14 , d ) 12 , e ) 91", + "Correct": "b", + "Explanation": "\"2 * 22 / 7 * 15 * x = 1056 = > x = 11.2 answer : b\"" + }, + { + "Answer": 30, + "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 72 %", + "Correct": "c", + "Explanation": "\"answer : c 108 \u00b0 divided by 360 \u00b0 equals 0.3 , therefore the sector is equal to 30 % of the total\"" + }, + { + "Answer": 10, + "Options": "a ) 5 , b ) 15 , c ) 10 , d ) 20 , e ) 25", + "Correct": "c", + "Explanation": "\"when the woman passes the man , they are aligned ( m and w ) . they are moving in the same direction . after 5 minutes , the woman ( w ) will be ahead the man ( m ) : m - - - - - - m - - - - - - - - - - - - - - - w w in the 5 minutes , after passing the man , the woman walks the distance mw = ww , which is 10 * 12 / 60 = 2 miles and the man walks the distance mm , which is 10 * 6 / 60 = 1 mile . the difference of 2 - 1 = 1 miles ( mw ) will be covered by the man in ( 1 ) / 6 = 1 / 6 of an hour , which is 10 minutes . answer c .\"" + }, + { + "Answer": 58.9952803775698, + "Options": "a ) 28 , b ) 27 , c ) 55 , d ) 59 , e ) 12", + "Correct": "d", + "Explanation": "\"t = ( 720 + 165 ) / 54 * 18 / 5 t = 59 answer : d\"" + }, + { + "Answer": 1.833333333333333, + "Options": "a ) 1 kmph , b ) 2 kmph , c ) 3 kmph , d ) 2.5 kmph , e ) 1.85 kmph", + "Correct": "e", + "Explanation": "\"rate upstream = ( 1 / 20 * 60 ) = 3 kmph rate dowm stream = 1 / 9 * 60 = 6.7 kmph rate of the current = \u00bd ( 6.7 - 3 ) = 1.85 kmph answer : e\"" + }, + { + "Answer": 11.5, + "Options": "a ) 2 , b ) 8.5 , c ) 9.5 , d ) 6.5 , e ) 11.5", + "Correct": "e", + "Explanation": "\"51 - - - 3 ds = 17 ? - - - - 1 18 - - - - 3 us = 6 ? - - - - 1 m = ? m = ( 17 + 6 ) / 2 = 11.5 answer : e\"" + }, + { + "Answer": 34.44867077905162, + "Options": "a ) 32.75 , b ) 32.45 , c ) 22.45 , d ) 34.45 , e ) 32.15", + "Correct": "d", + "Explanation": "\"36 / 7 r = 6.7 = 34.45 answer : d\"" + }, + { + "Answer": 9.493063650744542, + "Options": "a ) 9 m , b ) 9.5 m , c ) 10.5 m , d ) 12 m , e ) none", + "Correct": "b", + "Explanation": "let ab be the wall and bc be the ladder . then , < abc = 60 \u00b0 and , bc = 19 m . ; ac = x metres ac / bc = cos 60 \u00b0 = x / 19 = 1 / 2 x = 19 / 2 = 9.5 m . answer b" + }, + { + "Answer": 2, + "Options": "a ) 1 kmph , b ) 4 kmph , c ) 3 kmph , d ) 2 kmph , e ) 1.9 kmph", + "Correct": "d", + "Explanation": "sol . speed of stream = 1 / 2 ( 10 - 6 ) kmph = 2 kmph . answer d" + }, + { + "Answer": 100, + "Options": "a ) 21 , b ) 28 , c ) 90 , d ) 100 , e ) 11", + "Correct": "d", + "Explanation": "\"explanation : sp of 1 m of cloth = 8925 / 85 = rs . 105 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 105 - rs . 5 = rs . 100 . answer : d\"" + }, + { + "Answer": 18, + "Options": "a ) 12 , b ) 18 , c ) 20 , d ) 24 , e ) 30", + "Correct": "b", + "Explanation": "\"if it takes 4 more minutes for a to print 40 pages than it takes b , it takes 5 more minutes for a to print 50 pages than it takes b . thus if b is the number of minutes than b takes to print 50 pages , we can write : 1 / b + 1 / ( b + 5 ) = 1 / 6 ( since in 1 minute , they print 1 / 6 th of the 50 page job ) 6 ( 2 b + 5 ) = b ( b + 5 ) b ^ 2 - 7 b - 30 = 0 ( b - 10 ) ( b + 3 ) = 0 b = 10 thus it takes a 15 minutes to print 50 pages and 15 * 60 / 50 = 18 minutes to print 60 pages ( answer b )\"" + }, + { + "Answer": 23.998080153587715, + "Options": "a ) 28 , b ) 266 , c ) 990 , d ) 20 , e ) 24", + "Correct": "e", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 200 + 280 = 480 m . the time required = d / s = 480 / 20 = 24 sec . answer : e\"" + }, + { + "Answer": 4.5, + "Options": "a ) 5 days , b ) 7 days , c ) 12 days , d ) 4.5 days , e ) 10 days", + "Correct": "d", + "Explanation": "\"explanation : a \u2019 s 5 day work = 5 * 1 / 15 = 1 / 3 remaining work = 1 - 1 / 3 = 2 / 3 b completes 2 / 3 work in 6 days b alone can do in x days 2 / 3 * x = 3 x = 4.5 days answer : option d\"" + }, + { + "Answer": 800, + "Options": "a ) 600 m , b ) 700 m , c ) 800 m , d ) 1000 m , e ) 1200 m", + "Correct": "c", + "Explanation": "tiger takes 5 leaps / m and deer takes 4 leaps / m thus , tiger runs at the speed of 5 x 8 = 40 m / min and deer runs at the speed of 4 x 5 = 20 m / min tiger is 50 leaps behind , which is 50 x 8 = 400 m relative speed of tiger and deer is = 20 m / min thus , 400 / 20 = 20 m thus , the tiger will catch deer = 20 x 40 = 800 m answer : c" + }, + { + "Answer": 32, + "Options": "a ) 22 , b ) 37 , c ) 32 , d ) 27 , e ) 18", + "Correct": "c", + "Explanation": "\"us = 25 ds = 39 m = ( 39 + 25 ) / 2 = 32 answer : c\"" + }, + { + "Answer": 8.571428571428571, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 60 / 7", + "Correct": "e", + "Explanation": "for 1 hour - machine a rate - 2000 envelopes machine b + c rate - 2400 envelopes since a + c = 3000 envelopes a ' s rate is 2000 envelopes as above , c has a rate of 1000 envelopes per hour . which makes machine b ' s rate as 1400 envelopes per hour . thus , it will take 8 hours to manufacture 12000 envelopes . answer : - e" + }, + { + "Answer": 215, + "Options": "a ) 255 , b ) 267 , c ) 245 , d ) 277 , e ) 215", + "Correct": "e", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 160 + x ) / 30 = 25 / 2 = > 2 ( 160 + x ) = 750 = > x = 215 m . answer : e\"" + }, + { + "Answer": 18, + "Options": "a ) 33 , b ) 77 , c ) 18 , d ) 99 , e ) 66", + "Correct": "c", + "Explanation": "\"let the leak can empty the full tank in x hours 1 / 6 - 1 / x = 1 / 9 = > 1 / x = 1 / 6 - 1 / 9 = ( 3 - 2 ) / 18 = 1 / 18 = > x = 18 . answer : c\"" + }, + { + "Answer": 225, + "Options": "a ) 112 , b ) 133 , c ) 150 , d ) 167 , e ) 225", + "Correct": "e", + "Explanation": "\"since we know the distance ( 450 ) and the combined rate ( 100 ) , we plug it into the formula : distance = rate * time 450 = 100 * time we can solve for the time they will meet cause we added the rate of train a and train b together . so the time will be 450 / 100 from dividing 100 on both sides to isolate time in the equation above . time will be 4.5 hours so now you can plug that in for train a \u2019 s distance . distance = rate * time distance = 50 * 4.5 distance = 225 according to answer choice e .\"" + }, + { + "Answer": 8.000000000000002, + "Options": "a ) 5 , b ) 2 , c ) 8 , d ) 4 , e ) 6", + "Correct": "c", + "Explanation": "1 . we need to find out the time taken by 3 workers after day 1 . 2 . total no . of wokers * total time taken = time taken by 1 worker 3 . time taken by 1 worker = 12 * 3 = 36 days 4 . but on day 1 twelve workers had already worked finishing 1 / 3 of the job . so 3 workers have to finish only 2 / 3 of the job . 5 . total time taken by 3 workers can be got from formula used at ( 2 ) . i . e . , 3 * total time taken = 36 . total time taken by 3 workers to finish the complete job is 36 / 3 = 12 days . 6 . time taken by 6 workers to finish 2 / 3 of the job is 2 / 3 * 12 = 8 days . the answer is choice c" + }, + { + "Answer": 30, + "Options": "a ) 40 , b ) 50 , c ) 30 , d ) 60 , e ) 45", + "Correct": "c", + "Explanation": "\"the distance traveled by both of them is the same at the time of overtaking . 3 ( t + 12 ) = 5 t t = 18 . cristina will catch up nicky in 18 seconds . so in 18 seconds cristina would cover = 18 * 5 = 90 meter . now time taken my nicky to cover 90 meter = 90 / 3 = 30 seconds . c\"" + }, + { + "Answer": 247, + "Options": "a ) 216 cm 2 , b ) 238 cm 2 , c ) 240 cm 2 , d ) 247 cm 2 , e ) 250 cm 2", + "Correct": "d", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 13 ) = 247 cm 2 answer : d\"" + }, + { + "Answer": 9.856, + "Options": "a ) 6.24 km , b ) 6 km , c ) 9.86 km , d ) 5.66 km , e ) 10 km", + "Correct": "c", + "Explanation": "m = 10 s = 1.2 ds = 11.2 us = 8.8 x / 11.2 + x / 8.8 = 1 x = 4.93 d = 4.93 * 2 = 9.86 answer : c" + }, + { + "Answer": 32, + "Options": "a ) 50 kmph , b ) 60 kmph , c ) 32 kmph , d ) 70 kmph , e ) none", + "Correct": "c", + "Explanation": "\"time = 6 distence = 288 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 288 / 9 = 32 kmph c )\"" + }, + { + "Answer": 75, + "Options": "a ) 60 , b ) w = 70 , c ) w = 75 , d ) w = 80 , e ) w = 100", + "Correct": "c", + "Explanation": "\"we can also use the concept of man - days here 100 days - - > 10 men so the job includes 100 * 10 = 1000 man - days after 20 days 1 / 4 of job is completed so 1 / 4 x 1000 man - days = 250 man - days job is done now the balance job = 1000 - 250 = 750 man - days worth of job since 2 men are fired so b / l men = 8 therefore total no . of days of job = 750 man - day / 8 days = 375 / 4 = 94 days ( approx . ) now since this is total and ques . is asking for additional no . of days , so 94 - 20 = 74 days the nearest approx . to answer is 75 ans : c ( 75 days )\"" + }, + { + "Answer": 15, + "Options": "a ) 15 , b ) 16 , c ) 17 , d ) 18 , e ) 10", + "Correct": "a", + "Explanation": "\"1 / 24 + 1 / 40 = 1 / 15 15 days answer : a\"" + }, + { + "Answer": 20, + "Options": "a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 20", + "Correct": "e", + "Explanation": "let his speed for one half of the journey be 5 miles an hour let the other half be x miles an hour now , avg speed = 8 mile an hour 2 * 5 * x / 5 + x = 8 10 x = 8 x + 40 = > 2 x = 40 = > x = 20 e" + }, + { + "Answer": 20, + "Options": "a ) 25 , b ) 20 , c ) 19 , d ) 23 , e ) 18", + "Correct": "b", + "Explanation": "\"let the number of men originally employed be x . 15 x = 20 ( x \u00e2 \u20ac \u201c 5 ) or x = 20 answer b\"" + }, + { + "Answer": 4, + "Options": "a ) 4 days , b ) 6 days , c ) 7 days , d ) 9 days , e ) 1 days", + "Correct": "a", + "Explanation": "\"1 women ' s 1 day work = 1 / 28 1 child ' s 1 day work = 1 / 140 ( 5 women + 10 children ) ' s 1 day work = ( 5 / 28 + 10 / 140 ) = 1 / 4 5 women and 10 children will complete the work in 4 days . answer : a\"" + }, + { + "Answer": 12, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", + "Correct": "d", + "Explanation": "\"one monkey takes 12 min to eat 1 banana , so in 72 mins 1 monkey will eat 6 bananas , so for 72 bananas in 72 min we need 72 / 6 = 12 monkeys answer : d\"" + }, + { + "Answer": 32.90619298297467, + "Options": "['a ) 32.9', 'b ) 32.4', 'c ) 22.4', 'd ) 32.8', 'e ) 32.1']", + "Correct": "a", + "Explanation": "36 / 7 r = 6.4 = 32.9 answer : a" + }, + { + "Answer": 182, + "Options": "a ) 182 , b ) 176 , c ) 175 , d ) 96 , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : let the length of train be l m . acc . to question ( 273 + l ) / 20 = l / 8 2184 + 8 l = 20 l l = 2184 / 12 = 182 m answer a\"" + }, + { + "Answer": 11.999999999999996, + "Options": "a ) 17 kmph , b ) 19 kmph , c ) 15 kmph , d ) 12 kmph , e ) 16 kmph", + "Correct": "d", + "Explanation": "d 12 kmph let the distance traveled be x km . then , x / 10 - x / 15 = 2 3 x - 2 x = 60 = > x = 60 km . time taken to travel 60 km at 10 km / hr = 60 / 10 = 6 hrs . so , robert started 6 hours before 2 . p . m . i . e . , at 8 a . m . required speed = 60 / 5 = 12 kmph ." + }, + { + "Answer": 41.9966402687785, + "Options": "a ) 25 , b ) 30 , c ) 42 , d ) 45 , e ) 50", + "Correct": "c", + "Explanation": "\"relative speed of the train = 63 - 3 = 60 kmph = 60 * 5 / 18 = 50 / 3 m / sec t = 700 * 3 / 50 = 42 sec answer : c\"" + }, + { + "Answer": 4, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 4", + "Correct": "e", + "Explanation": "\"when the woman passes the man , they are aligned ( m and w ) . they are moving in the same direction . after 5 minutes , the woman ( w ) will be ahead the man ( m ) : m - - - - - - m - - - - - - - - - - - - - - - w w in the 5 minutes , after passing the man , the woman walks the distance mw = ww , which is 2 * 15 / 60 = 1 / 2 miles and the man walks the distance mm , which is 2 * 5 / 60 = 1 / 6 mile . the difference of 1 / 2 - 1 / 6 = 1 / 3 miles ( mw ) will be covered by the man in ( 1 / 3 ) / 5 = 1 / 15 of an hour , which is 4 minutes . answer e .\"" + }, + { + "Answer": 21600, + "Options": "a ) 480 , b ) 2,880 , c ) 21,600 , d ) 28,800 , e ) 48,000", + "Correct": "c", + "Explanation": "seconds in 1 hours : 60 s in 1 min 60 min in 1 hr 60 * 60 = 3600 sec in 1 hr 6 * 3600 = 21,600 answer : c" + }, + { + "Answer": 3, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 6 , e ) 9", + "Correct": "c", + "Explanation": "\"3 people can do the work one time in one day . 1 person can do 1 / 3 of the work in one day . 6 people can do 6 / 3 of the work in one day . 6 people can do 6 times the work in 3 days . the answer is c .\"" + }, + { + "Answer": 2750, + "Options": "a ) 2338.9 , b ) 2748.9 , c ) 2148.9 , d ) 2745.9 , e ) 2718.9", + "Correct": "b", + "Explanation": "\"rate of water flow - 1 kmph - - 1000 / 60 - - 16.66 m / min depth of river - - 3 m width of river - - 55 m vol of water per min - - 16.66 * 3 * 55 - - - 2748.9 answer b\"" + }, + { + "Answer": 2.4, + "Options": "a ) . 4 km , b ) 1.4 km , c ) 2.4 km , d ) 3.4 km , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : let the distance is x km rate downstream = 5 + 1 = 6 kmph rate upstream = 5 - 1 = 4 kmph then x / 6 + x / 4 = 1 [ because distance / speed = time ] = > 2 x + 3 x = 12 = > x = 12 / 5 = 2.4 km option c\"" + }, + { + "Answer": 10, + "Options": "a ) 22 days , b ) 10 days , c ) 77 days , d ) 88 days , e ) 55 days", + "Correct": "b", + "Explanation": "\"total work to be done = 30 * 40 = 1200 let 20 men leave the work after ' p ' days , so that the remaining work is completed in 40 days after they leave the work . 40 p + ( 20 * 40 ) = 1200 40 p = 400 = > p = 10 days answer : b\"" + }, + { + "Answer": 36, + "Options": "a ) 77 sec , b ) 66 sec , c ) 48 sec , d ) 36 sec , e ) 45 sec", + "Correct": "d", + "Explanation": "relative speed = 55 + 40 = 95 km / hr . 95 * 5 / 18 = 475 / 18 m / sec . distance covered = 475 + 475 = 950 m . required time = 950 * 18 / 475 = 36 sec . answer : d" + }, + { + "Answer": 0.14285714285714285, + "Options": "a ) 1 / 42 , b ) 1 / 21 , c ) 1 / 7 , d ) 1 / 3 , e ) 1 / 2", + "Correct": "c", + "Explanation": "all routes between ( 1,1 ) to ( 3,6 ) = 7 ! / ( 2 ! * 5 ! ) = 21 routes which pass 4 th st . between 1 st and 2 nd avenue = routs between ( 1,1 ) to ( 1,4 ) * routs between ( 2,4 ) to ( 3,6 ) = 1 * ( 3 ! / ( 2 ! * 1 ! ) ) = 3 the probability that jenn will walk down 4 th st . past amanda = 3 / 21 = 1 / 7 c is correct ." + }, + { + "Answer": 75, + "Options": "a ) 46 m , b ) 60 m , c ) 58 m , d ) 75 m , e ) 80 m", + "Correct": "d", + "Explanation": "\"let breadth = x metres . then , length = ( x + 50 ) metres . perimeter = 5300 / 26.5 m = 200 m . 2 [ ( x + 50 ) + x ] = 200 2 x + 50 = 100 2 x = 50 x = 25 . hence , length = x + 50 = 75 m d\"" + }, + { + "Answer": 12, + "Options": "a ) 22 , b ) 20 , c ) 88 , d ) 71 , e ) 12", + "Correct": "e", + "Explanation": "\"x - - - - - - - 11 ( x + 10 ) - - - - 6 x * 11 = ( x + 10 ) 6 x = 12 \\ answer : e\"" + }, + { + "Answer": 11, + "Options": "a ) 10 s , b ) 11 s , c ) 4 s , d ) 8 s , e ) 12 s", + "Correct": "b", + "Explanation": "\"detailed solution speed of a = 54 \u2217 1000 / 60 \u2217 60 = 15 m / s speed of b = 36 \u2217 1000 / 60 \u2217 60 = 10 m / s relative speed = s 1 + s 2 = 15 + 10 m / s = 25 m / s the length that needs to be crossed = length of train b = 150 m . therefore time taken = 150 / 25 = 6 s . what is the time taken for trains to completely cross each other ? the length that needs to be crossed = 125 + 150 = 275 m . time taken = 275 / 25 = 11 s . correct answer b .\"" + }, + { + "Answer": 44, + "Options": "a ) 22 hours , b ) 30 hours , c ) 44 hours , d ) 60 hours , e ) it can not be determined from the information above .", + "Correct": "c", + "Explanation": "\"say the rates of machines a , b and c are a , b , and c , respectively . together 15 type a machines and 7 type b machines can complete a certain job in 4 hours - - > 15 a + 7 b = 1 / 4 ; together 8 type b machines and 15 type c machines can complete the same job in 11 hours - - > 8 b + 15 c = 1 / 11 . sum the above : 15 a + 15 b + 15 c = 1 / 4 + 1 / 11 = 15 / 44 - - > reduce by 15 : a + b + c = 1 / 44 - - > so , the combined rate of the three machines is 1 / 44 job / hour - - > time is reciprocal of the rate , thus machines a , b and c can do the t job in 44 hours . answer : c .\"" + }, + { + "Answer": 43.997440204783615, + "Options": "a ) 44 min , b ) 55 min , c ) 47 min , d ) 67 min , e ) 45 min", + "Correct": "a", + "Explanation": "\"a 44 min let the length of the train be x m . when a train crosses an electric pole , the distance covered is its own length . so , x = 12 * 36 * 5 / 18 m = 120 m . time taken to cross the platform = ( 120 + 320 ) / 36 * 5 / 18 = 44 min .\"" + }, + { + "Answer": 1.9999999999999993, + "Options": "a ) 1 hour , b ) 30 min , c ) 3 hours 20 min , d ) 2 hours 30 min , e ) 2 hours", + "Correct": "e", + "Explanation": "new speed = 6 / 7 of the usual speed new time taken = 7 / 6 of the usual time taken so , ( 7 / 6 of the usual time ) - ( usual time ) = 20 min 1 / 6 of the usual time = 20 min usual time = 20 * 6 = 120 min = 2 hours correct option is e" + }, + { + "Answer": 15.692307692307693, + "Options": "a ) 70 min , b ) 15 min , c ) 20.4 min , d ) 15.6 min , e ) 40 min", + "Correct": "d", + "Explanation": "\"d 15.6 min due to stoppages , it covers 17 km less . time taken to cover 17 km = ( 17 / 65 x 60 ) min = 15.6 min\"" + }, + { + "Answer": 84.02817496043394, + "Options": "a ) 84 , b ) 12 , c ) 67 , d ) 28 , e ) 21", + "Correct": "a", + "Explanation": "\"explanation : let inner radius be r meters . { \\ color { black } then , 2 \\ pi r = 440 \\ rightarrow r = 440 \\ times \\ frac { 7 } { 22 } \\ times \\ frac { 1 } { 2 } = 70 m } radius of outer circle = 70 + 14 = 84 m answer : a ) 84 m\"" + }, + { + "Answer": 75, + "Options": "a ) 68 days , b ) 70 days , c ) 73 days , d ) 75 days , e ) 77 days", + "Correct": "d", + "Explanation": "\"amit \u2019 s one day \u2019 s work = 1 / 15 amit \u2019 s 3 day \u2019 s work = 1 / 15 * 3 = 1 / 5 work left = 1 - 1 / 5 = 4 / 5 ananthu \u2019 s one day \u2019 s work = 1 / 90 ananthu can do work in = 4 / 5 * 90 = 72 days so total days = 72 + 3 = 75 days answer : d\"" + }, + { + "Answer": 2.181818181818182, + "Options": "a ) 10 / 12 , b ) 16 / 28 , c ) 24 / 11 , d ) 42 / 16 , e ) 18 / 12", + "Correct": "c", + "Explanation": "one day work of a and b = 1 / 2 one day work of b and c = 1 / 4 one day work of c and a = 1 / 6 2 ( a + b + c ) = 1 / 2 + 1 / 4 + 1 / 6 . 2 ( a + b + c ) = 11 / 12 ( a + b + c ) = 11 / 24 number of days required = 24 / 11 days . answer : c" + }, + { + "Answer": 90, + "Options": "a ) $ 69 , b ) $ 78 , c ) $ 90 , d ) $ 86 , e ) $ 77", + "Correct": "c", + "Explanation": "c $ 90 sp of 1 m of cloth = 8925 / 85 = $ 105 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = $ 105 - $ 15 = $ 90 ." + }, + { + "Answer": 10, + "Options": "a ) 8 , b ) 5 , c ) 9 , d ) 6 , e ) 10", + "Correct": "e", + "Explanation": "\"at $ 3 per hour up to 40 hours , regular pay = $ 3 x 40 = $ 120 if total pay = $ 168 , overtime pay = $ 180 - $ 120 = $ 60 overtime rate ( twice regular ) = 2 x $ 3 = $ 6 per hour = > number of overtime hours = $ 60 / $ 6 = 10 ans is e\"" + }, + { + "Answer": 90, + "Options": "a ) 66 , b ) 70 , c ) 72 , d ) 75 , e ) 90", + "Correct": "e", + "Explanation": "\"let the distance one way be x time from home to work = x / 30 time from work to home = x / 90 total time = 2 hrs ( x / 30 ) + ( x / 90 ) = 2 solving for x , we get x = 45 time from home to work in minutes = ( 45 ) * 60 / 30 = 90 minutes ans = e\"" + }, + { + "Answer": 4500, + "Options": "a ) 4500 , b ) 2678 , c ) 2689 , d ) 2761 , e ) 2882", + "Correct": "a", + "Explanation": "\"( 3000 * 2 * 5 ) / 60 = 4500 m 3 answer : a\"" + }, + { + "Answer": 4, + "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 5 , e ) 3", + "Correct": "b", + "Explanation": "\"speed downstream = ( 13 + 4 ) km / hr = 17 km / hr . time taken to travel 68 km downstream = 68 / 17 = 4 hrs ans - b\"" + }, + { + "Answer": 55.5, + "Options": "a ) 49 m 2 , b ) 50 m 2 , c ) 53.5 m 2 , d ) 55.5 m 2 , e ) 57 m 2", + "Correct": "d", + "Explanation": "\"area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 4 x 1.25 + 7 x 1.25 ) + 7 x 4 ] m 2 = 55.5 m 2 . answer : option d\"" + }, + { + "Answer": 16, + "Options": "a ) 10 , b ) 25 , c ) 60 , d ) 16 , e ) 20", + "Correct": "d", + "Explanation": "\"a + b 10 days work = 10 * 1 / 40 = 1 / 4 remaining work = 1 - 1 / 4 = 3 / 4 3 / 4 work is done by a in 12 days whole work will be done by a in 12 * 4 / 3 = 16 days answer is d\"" + }, + { + "Answer": 39.27272727272727, + "Options": "a ) 32 , b ) 545 , c ) 39 , d ) 40 , e ) 09", + "Correct": "c", + "Explanation": "s = ( 120 + 480 ) / 45 = 600 / 55 * 18 / 5 = 39 answer : c" + }, + { + "Answer": 205, + "Options": "a ) 205 , b ) 210 , c ) 215 , d ) 250 , e ) 260", + "Correct": "a", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 170 + x ) / 30 = 25 / 2 = > 2 ( 170 + x ) = 750 = > x = 205 m . answer : option a\"" + }, + { + "Answer": 119, + "Options": "a ) 22 , b ) 119 , c ) 110 , d ) 109 , e ) 12", + "Correct": "b", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 6 ) / 48 = 125 sec . time taken by a = 125 - 6 = 119 sec . answer : b\"" + }, + { + "Answer": 11.999040076793857, + "Options": "a ) 22 seconds , b ) 65 seconds , c ) 78 seconds , d ) 12 seconds , e ) 21 seconds", + "Correct": "d", + "Explanation": "\"speed of the boat downstream = 15 + 3 = 18 kmph = 18 * 5 / 18 = 5 m / s hence time taken to cover 60 m = 60 / 5 = 12 seconds . answer : d\"" + }, + { + "Answer": 4320.000000000001, + "Options": "a ) 5729 , b ) 5760 , c ) 2889 , d ) 2870 , e ) 4320", + "Correct": "e", + "Explanation": "\"1 / x - 1 / 6 = - 1 / 8 x = 24 hrs 24 * 60 * 3 = 4320 . answer : e\"" + }, + { + "Answer": 6.92820323027551, + "Options": "['a ) 6.978 m', 'b ) 6.928 m', 'c ) 6.829 m', 'd ) 6.248 m', 'e ) 6.982 m']", + "Correct": "b", + "Explanation": "the length of the longest rod = 4 sq . root of 3 = 6.928 m answer : b" + }, + { + "Answer": 11.52, + "Options": "a ) 223 / 26 , b ) 288 / 27 , c ) 309 / 22 , d ) 288 / 26 , e ) 288 / 25", + "Correct": "e", + "Explanation": "work per day epr hour per person = 48 / ( 6 * 8 * 24 ) / / eq - 1 people = 50 ; let suppose day = p ; per day work for 8 hours acc . to condition work per day epr hour per person = 192 / ( p * 8 * 50 ) / / eq - 2 eq - 1 = = eq - 2 ; p = 288 / 25 answer : e" + }, + { + "Answer": 28, + "Options": "a ) 28 km , b ) 20 km , c ) 65 km , d ) 18 km , e ) 16 km", + "Correct": "a", + "Explanation": "\"distance = relative speed * time = ( 4 + 3 ) * 4 = 28 km [ they are travelling in the opposite direction , relative speed = sum of the speeds ] . answer : a\"" + }, + { + "Answer": 18, + "Options": "a ) 77 , b ) 18 , c ) 14 , d ) 12 , e ) 17", + "Correct": "b", + "Explanation": "\"the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 54 / 3 = 18 kmph . answer : b\"" + }, + { + "Answer": 3, + "Options": "a ) 6 days , b ) 4 days , c ) 12 days , d ) 3 days , e ) 8 days", + "Correct": "d", + "Explanation": "expl : let x ladies can do the work in 12 days . more ladies , less days ( indirect ) less work , less days ( direct ) ladies 2 x : x work 1 : \u00bd 2 x : x , 1 : \u00bd : : 12 : y : . 2 x * 1 * y = x * \u00bd * 12 or y = 3 hence the required number of days = 3 answer : d" + }, + { + "Answer": 2, + "Options": "a ) 3 hours , b ) 1 hours , c ) 3.20 hours , d ) 2 hours , e ) 1.35 hours", + "Correct": "d", + "Explanation": "d two hours . harish who could paint the wall in 3 hours could paint 2 / 3 of the wall in just two hours . ganpat who paint the wall in 6 hours could paint 1 / 3 of the wall in two hours . 2 / 3 + 1 / 3 = 1 ." + }, + { + "Answer": 780.0000000000001, + "Options": "a ) $ 1100 , b ) $ 520 , c ) $ 780 , d ) $ 1170 , e ) $ 630", + "Correct": "c", + "Explanation": "explanatory answer a , b and c will share the amount of $ 2340 in the ratio of the amounts of work done by them . as a takes 6 days to complete the job , if a works alone , a will be able to complete 1 / 6 th of the work in a day . similarly , b will complete 1 / 8 th and c will complete 1 / 12 th of the work . so , the ratio of the work done by a : b : c when they work together will be equal to 1 / 6 : 1 / 8 : 1 / 12 multiplying the numerator of all 3 fractions by 24 , the lcm of 6 , 8 and 12 will not change the relative values of the three values . we get 24 / 6 : 24 / 8 : 24 / 12 = 4 : 3 : 2 . i . e . , the ratio in which a : b : c will share $ 2340 will be 4 : 3 : 2 . hence , b ' s share will be 3 * 2340 / 9 = 780 correct choice is ( c )" + }, + { + "Answer": 220.03999999999996, + "Options": "a ) 220 m , b ) 240 m , c ) 260 m , d ) 320 m , e ) 330 m", + "Correct": "a", + "Explanation": "\"relative speed = ( 120 + 80 ) km / hr = ( 200 x ( 5 / 18 ) ) m / sec = ( 500 / 9 ) m / sec . let the length of the other train be x metres . then , ( x + 280 ) / 9 = 500 / 9 x + 280 = 500 x = 220 . a\"" + }, + { + "Answer": 2.5, + "Options": "a ) 1.6 , b ) 1.9 , c ) 2.2 , d ) 2.5 , e ) 2.8", + "Correct": "d", + "Explanation": "\"72 km / hr = 1.2 km / min the total distance is 3 km . 3 / 1.2 = 2.5 minutes the answer is d .\"" + }, + { + "Answer": 7.199424046076314, + "Options": "a ) 7.2 sec , b ) 9.3 sec , c ) 12 sec , d ) 15.2 sec , e ) 18 sec", + "Correct": "a", + "Explanation": "speed of the train relative to man = ( 68 - 8 ) kmph = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec time taken by the train to cross the man = time taken by it to cover 120 m at 50 / 3 m / sec = 120 * 3 / 50 sec = 7.2 sec answer : a ." + }, + { + "Answer": 400.032, + "Options": "a ) 281 , b ) 125 , c ) 288 , d ) 266 , e ) 400", + "Correct": "e", + "Explanation": "\"d = 160 * 5 / 18 * 9 = 400 m answer : e\"" + }, + { + "Answer": 3.5999999999999996, + "Options": "a ) 3.6 , b ) 4.5 , c ) 4.8 , d ) 5.4 , e ) 5.5", + "Correct": "a", + "Explanation": "\"speed = 720 / ( 12 x 60 ) m / sec = 1 m / sec . converting m / sec to km / hr = 1 x ( 18 / 5 ) km / hr = 3.6 km / hr . answer : a\"" + }, + { + "Answer": 125.00000000000003, + "Options": "a ) 125 % , b ) 100 % , c ) 25 % , d ) 225 % , e ) 400 %", + "Correct": "a", + "Explanation": "\"tom chops 8 lbs in 12 minutes tammy chopswhen tom works alone he chops 2 lb . salad in 3 minutes , and when tammy works alone she chops 3 lb . salad in 2 minutes . they start working together , and after some time finish chopping 65 lb . of salad . of those 80 lb . , the salad quantity chopped by tammy is what percent greater than the quantifying chopped by tom ? . 9 lbs in 6 minutes so in the same amount of time , tammy chops 125 % more than tom , since 9 is 125 % greater than 4 . so 125 % is the answer . note that the actual time does n ' t matter . if you multiply the time each work by x , you ' ll multiply the work each does by x , and 9 x is still 125 % greater than 4 x . ans : a\"" + }, + { + "Answer": 6.666666666666667, + "Options": "a ) 2.9 hrs , b ) 8.9 hrs , c ) 2.9 hrs , d ) 6.7 hrs , e ) 8.6 hrs", + "Correct": "d", + "Explanation": "\"net part filled in 1 hour = ( 1 / 4 - 1 / 10 ) = 3 / 20 the cistern will be filled in 20 / 3 hrs i . e . , 6.7 hrs . answer : d\"" + }, + { + "Answer": 85, + "Options": "a ) 12 , b ) 75 , c ) 85 , d ) 54 , e ) 15", + "Correct": "c", + "Explanation": "\"s = ( 90 + 80 ) / 2 = 85 kmph answer : c\"" + }, + { + "Answer": 9, + "Options": "a ) 11.25 , b ) 11.52 , c ) 1.25 , d ) 9 , e ) 7.2", + "Correct": "d", + "Explanation": "\"say the rate of the slower pipe is r pool / hour , then the rate of the faster pipe would be 1.25 r = 5 r / 4 . since when both pipes are opened , they fill the pool in four hours , then their combined rate is 1 / 4 pool / hour . thus we have that r + 5 r / 4 = 1 / 4 - - > r = 1 / 9 pool / hour - - > time is reciprocal of rate thus it ' s 9 / 1 = 9 hours . answer : d .\"" + }, + { + "Answer": 6, + "Options": "a ) 7 hrs . , b ) 4 hrs . , c ) 5 hrs . , d ) 6 hrs . , e ) 8 hrs .", + "Correct": "d", + "Explanation": "part filled by three taps together in 1 hr = 1 / 3 part filled by one of the tap in 1 hr = 1 / 10 part filled by another tap in 1 hr = 1 / 15 part filled by third tap in 1 hr = 1 / 3 - ( 1 / 0 + 1 / 15 ) = 5 / 30 therefore the third tap can fill the whole tank in : 30 / 5 hrs . = 6 hrs . answer : d" + }, + { + "Answer": 165, + "Options": "a ) 40 , b ) 165 , c ) 120 , d ) 80 , e ) 100", + "Correct": "b", + "Explanation": "if two objects a and b start simultaneously from opposite points and , after meeting , reach their destinations in \u2018 a \u2019 and \u2018 b \u2019 hours respectively ( i . e . a takes \u2018 a hrs \u2019 to travel from the meeting point to his destination and b takes \u2018 b hrs \u2019 to travel from the meeting point to his destination ) , then the ratio of their speeds is given by : sa / sb = \u221a ( b / a ) i . e . ratio of speeds is given by the square root of the inverse ratio of time taken . sa / sb = \u221a ( 4 / 9 ) = 2 / 3 this gives us that the ratio of the speed of a : speed of b as 2 : 3 . since speed of a is 110 kmph , speed of b must be 110 * ( 3 / 2 ) = 165 kmph answer b" + }, + { + "Answer": 750, + "Options": "a ) 377 , b ) 267 , c ) 268 , d ) 750 , e ) 271", + "Correct": "d", + "Explanation": "speed = [ 90 * 5 / 18 ] m / sec = 25 m / sec ; time = 1 min . = 60 sec . let the length of the train and that of the platform be x meters . then , 2 x / 60 = 25 \u00e8 x = 25 * 60 / 2 = 750 . answer : d" + }, + { + "Answer": 258, + "Options": "a ) 286 m , b ) 899 m , c ) 200 m , d ) 166 m , e ) 258 m", + "Correct": "e", + "Explanation": "\"2 ( l + 82 ) = 680 = > l = 258 m answer : e\"" + }, + { + "Answer": 1653, + "Options": "a ) 2663 , b ) 1653 , c ) 3693 , d ) 4253 , e ) 2653", + "Correct": "b", + "Explanation": "b 1653 for an ideal case , the batsman will hit a six on each ball . but if he hits six on the last ball of the over , the strike will change in the next over . thus , the best he can do in the last ball is run 3 runs so that he retains the strike even in the next over . thus the total runs that he can score in each over : 6 * 5 + 3 = 33 but this will have to go like it only till the 49 th over . in the last over , he can hit a six in the last ball as well as that will be the last ball of the match . thus runs for the last over will be 6 * 6 = 36 . hence the maximum runs = 33 * 49 + 36 = 1653" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "a", + "Explanation": "\"let rate of one worker be r = > ( 6 * r ) * 8 = 1 ( rate * time = work ) = > r = 1 / 48 = > work remaining after 3 days 1 - ( 3 * 6 ) / 48 = 30 / 48 after 4 ppl joined in ( ( 6 + 4 ) * time ) / 48 = 30 / 48 time x = 3 days to finish the task imo a\"" + }, + { + "Answer": 60, + "Options": "a ) 30 miles . , b ) 35 miles . , c ) 45 miles . , d ) 60 miles . , e ) 65 miles .", + "Correct": "d", + "Explanation": "\"in 1 st hour : relative speed of the two will be 10 + 5 = 15 miles / hour . as they move towards each other , the distance between them reduces by 15 miles . distance left between them : 90 - 15 = 75 miles . in 2 nd hour : speed of tim : 20 mph , that of elan : 10 mph . relative speed of the two will be 20 + 10 = 30 miles / hour . as they move towards each other , the distance between them reduces by 30 miles . distance left between them : 75 - 30 = 45 miles . in 3 rd hour : speed of tim : 40 mph , that of elan : 20 mph . relative speed of the two will be 40 + 20 = 60 miles / hour . now in order to cover the remaining distance of 45 miles . they will take : ( 45 / 60 ) hrs . = ( 3 / 4 ) hour . distance travelled by tim ? in first hour : 1 hour * ( 10 miles per hour ) = 10 miles in second hour : 1 hour * ( 20 miles per hour ) = 20 miles in third hour : ( 3 / 4 ) hour * ( 40 miles per hour ) = 30 miles total distance travelled : 10 + 20 + 30 = 60 miles . d is the answer\"" + }, + { + "Answer": 72, + "Options": "a ) 68 kmph , b ) 70 kmph , c ) 72 kmph , d ) 60 kmph , e ) 50 kmph", + "Correct": "c", + "Explanation": "\"in 10 s the train crosses the pole and in 35 sec the train crosses one more stationary train in 25 sec the train travels a distance of 500 mtrs speed = 500 / 25 = 20 m / s = 20 ( 3600 / 1000 ) = 20 * 18 / 5 = 72 kmph answer : c\"" + }, + { + "Answer": 1065.4285714285713, + "Options": "a ) 754 m , b ) 704 m , c ) 1055.04 m , d ) 1058.04 m , e ) 204 m", + "Correct": "c", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 750 resolutions . = 750 * 2 * 22 / 7 * 22.6 = 105504 cm = 1055.04 m answer : c\"" + }, + { + "Answer": 12.4990000799936, + "Options": "a ) 82.1 sec . , b ) 12.5 sec , c ) 19.1 sec . , d ) 17.1 sec . , e ) 42.1 sec .", + "Correct": "b", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec total distance covered = 110 + 140 = 250 m . required time = 250 / 20 = 12.5 sec . answer : b\"" + }, + { + "Answer": 25, + "Options": "a ) 10 min , b ) 15 min , c ) 20 min , d ) 25 min , e ) 30 min", + "Correct": "d", + "Explanation": "\"required time = 25 * 2 * 1 / 2 = 25 minutes answer is d\"" + }, + { + "Answer": 3780, + "Options": "a ) 60 , b ) 61.2 , c ) 62.5 , d ) 3,780 , e ) 3,672", + "Correct": "d", + "Explanation": "moon revolves around the earth at a speed of 1.02 kilometers per second . one hour equal to 60 minutes . one minute equals to 60 seconds . so one hour equals to 3600 seconds . so one hour , speed = 1.05 * 3600 = 3780 kilometers per hour . option d is correct" + }, + { + "Answer": 80, + "Options": "a ) 12 , b ) 75 , c ) 80 , d ) 54 , e ) 15", + "Correct": "c", + "Explanation": "\"s = ( 100 + 60 ) / 2 = 80 kmph answer : c\"" + }, + { + "Answer": 142, + "Options": "a ) 75 m . , b ) 80 m . , c ) 150 m . , d ) 142 m . , e ) none of the above", + "Correct": "d", + "Explanation": "\"ratio of speeds of a and b is 2 : 1 b is 71 m away from a but we know that a covers 1 meter ( 2 - 1 ) more in every second than b the time taken for a to cover 71 m is 71 / 1 = 71 m so the total time taken by a and b to reach = 2 * 71 = 142 m answer : d\"" + }, + { + "Answer": 55.99999999999999, + "Options": "a ) 30 , b ) 36 , c ) 42 , d ) 48 , e ) 56", + "Correct": "e", + "Explanation": "\"speed is inversly proprtional to time walking at 70 % of speed meand 7 / 10 s takes 10 / 7 t . it takes 24 minutes extra to cover the distance . then 10 / 7 t = t + 24 10 t = 7 t + 168 3 t = 168 t = 56 . option e is correct\"" + }, + { + "Answer": 336, + "Options": "a ) 196 , b ) 284 , c ) 336 , d ) 412 , e ) 572", + "Correct": "c", + "Explanation": "\"42 / 4 = 10.5 gallons 10.5 * 32 = 336 miles the answer is c .\"" + }, + { + "Answer": 24, + "Options": "a ) 6 days , b ) 19 days , c ) 24 days , d ) 3 days , e ) 13 days", + "Correct": "c", + "Explanation": "\"we have the important relation , more work , more time ( days ) a piece of work can be done in 8 days . three times of work of same type can be done in 8 x 3 = 24 days answer c\"" + }, + { + "Answer": 28, + "Options": "a ) 65 mtr . , b ) 28 mtr , c ) 70 mtr . , d ) 78 mtr . , e ) 17 mtr .", + "Correct": "b", + "Explanation": "\"20 men is 6 days can build 112 metres 10 men in 3 days can build = 112 * ( 10 / 20 ) x ( 3 / 6 ) = 28 meters answer : b .\"" + }, + { + "Answer": 1920, + "Options": "a ) rs . 1200 , b ) rs . 1500 , c ) rs . 1920 , d ) rs . 2000 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : ratio of working days of a : b = 10 : 15 therefore , their wages ratio = reverse ratio = 15 : 10 therefore , a will get 15 units of ratio total ratio = 25 1 unit of ratio = 3000 / 25 = 128 so , a \u2019 s amount = 120 \u00d7 15 = rs . 1920 . answer : option c\"" + }, + { + "Answer": 0.125, + "Options": "a ) 1 / 8 , b ) 2 / 15 , c ) 3 / 15 , d ) 1 / 4 , e ) 3 / 8", + "Correct": "a", + "Explanation": "\"dan travels 6 miles round trip . running part : ( 3 / 10 * 60 = 18 minutes ) swimming part : ( 3 / 6 * 60 = 30 minutes ) 6 miles in ( 18 + 30 ) minutes 6 / 48 = 1 / 8 mile per minute answer : 1 / 8 mile per minute a\"" + }, + { + "Answer": 114, + "Options": "a ) 114 mph , b ) 110 mph , c ) 88 mph , d ) 100 mph , e ) 99 mph", + "Correct": "a", + "Explanation": "\"( 140 mph + 88 mph ) / 2 = 114 mph correct answer is : a\"" + }, + { + "Answer": 23.999999999999996, + "Options": "a ) 22 hours , b ) 21 hours , c ) 24 hours , d ) 23 hours , e ) 25 days", + "Correct": "c", + "Explanation": "explanation : work done by 1 hour by filling pipe = 1 / 8 work done by 1 hour by the leak and the filling pipe = 1 / 12 work done by 1 hour by the leak = 1 / 8 \u2013 1 / 12 = 1 / 24 hence the leak can empty it in 24 hours . answer : option c" + }, + { + "Answer": 60, + "Options": "a ) 22 , b ) 87 , c ) 77 , d ) 60 , e ) 85", + "Correct": "d", + "Explanation": "12 * 80 = 16 * x x = 60 days answer : d" + }, + { + "Answer": 71.15384615384615, + "Options": "a ) rs . 80 , b ) rs . 120 , c ) rs . 71.15 , d ) rs . 51.15 , e ) rs . 180", + "Correct": "c", + "Explanation": "\"3 x 4 x 5 x 16 9 4 48 x + 36 x + 20 x = 1480 104 x = 1480 = > x = 14.23 5 x = 71.15 rs . answer : c\"" + }, + { + "Answer": 113.09733552923255, + "Options": "a ) 113.00 square meter , b ) 113.04 square meter , c ) 113.08 square meter , d ) 113.24 square meter , e ) 113.43 square meter", + "Correct": "b", + "Explanation": "\"diameter = 12 meter . radius = diameter / 2 . = 12 / 2 . = 6 meter . area of a circle = \u03c0 r 2 . here , pi ( \u03c0 ) = 3.14 meter , radius ( r ) = 6 . area of a circle = 3.14 \u00d7 6 \u00d7 6 . . = 3.14 \u00d7 36 . = 113.04 square meter or 113.04 m 2 . answer : b\"" + }, + { + "Answer": 6187.5, + "Options": "a ) $ 2587.50 , b ) $ 3587.50 , c ) $ 4187.50 , d ) $ 6187.50 , e ) $ 8587.50", + "Correct": "d", + "Explanation": "\"area = 5.5 \u00d7 3.75 sq . metre . cost for 1 sq . metre . = $ 300 hence , total cost = 5.5 \u00d7 3.75 \u00d7 300 = $ 6187.50 d\"" + }, + { + "Answer": 10, + "Options": "a ) 10 , b ) 8 , c ) 5 , d ) 2 , e ) 4", + "Correct": "a", + "Explanation": "\"28 - - - 2 ds = 14 ? - - - - 1 12 - - - - 2 us = 6 ? - - - - 1 m = ? m = ( 14 + 6 ) / 2 = 10 answer : a\"" + }, + { + "Answer": 340.04, + "Options": "a ) 443 m , b ) 354 m , c ) 340 m , d ) 350 m , e ) 250 m", + "Correct": "c", + "Explanation": "\"c 340 c = ( 72 * 5 / 18 ) * 25 - 160 = 340\"" + }, + { + "Answer": 72.72727272727273, + "Options": "a ) 5600 , b ) 6000 , c ) 73 , d ) 7200 , e ) 8600", + "Correct": "c", + "Explanation": "\"number of bricks = volume of the wall / volume of 1 brick = ( 200 x 300 x 2 ) / ( 25 x 11 x 6 ) = 72.7 = 73 . answer : option c\"" + }, + { + "Answer": 195, + "Options": "a ) 160 , b ) 195 , c ) 180 , d ) 190 , e ) 200", + "Correct": "b", + "Explanation": "\"one man can complete the work in 26 * 75 = 1950 days = one time work to complete the work twice it will be completed in let m be the no . of worker assign for this therefore the eqn becomes m * 20 = 2 * 1950 m = 195 workers answer : b\"" + }, + { + "Answer": 8, + "Options": "a ) 3 , b ) 8 , c ) 27 , d ) 88 , e ) 99", + "Correct": "b", + "Explanation": "\"4 / 3 \u00ef \u20ac * 2 * 2 * 2 = 4 / 3 \u00ef \u20ac * 1 * 1 * 1 * x x = 8 answer : b\"" + }, + { + "Answer": 191.99999999999997, + "Options": "a ) 190 , b ) 192 , c ) 194 , d ) 196 , e ) 198", + "Correct": "b", + "Explanation": "\"if a can complete a work in x days and b can complete the same work in y days , then , both of them together can complete the work in x y / x + y days . that is , the required no . of days = 320 \u00d7 480 / 800 = 192 days answer is b\"" + }, + { + "Answer": 72.00000000000001, + "Options": "a ) 72 kg , b ) 60 kg , c ) 72 kg , d ) 96 kg , e ) none", + "Correct": "a", + "Explanation": "\"solution volume of water displaced = ( 3 x 2 x 0.012 ) m 3 = 0.072 m 3 . mass of man = volume of water displaced \u00d7 density of water = ( 0.072 \u00d7 1000 ) kg = 72 kg . answer a\"" + }, + { + "Answer": 0.4166666666666667, + "Options": "a ) 3 / 25 , b ) 11 / 36 , c ) 5 / 12 , d ) 2 / 3 , e ) 25 / 36", + "Correct": "c", + "Explanation": "\"gas used = ( 5 hours ) * ( 50 miles / hour ) * ( 1 gallon / 30 miles ) = 8 + 1 / 3 gallons portion used = ( 8 + 1 / 3 ) / 20 = 5 / 12 ans c\"" + }, + { + "Answer": 14.998800095992321, + "Options": "a ) 18 sec , b ) 15 sec , c ) 21 sec , d ) 20 sec , e ) 19 sec", + "Correct": "b", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 100 + 200 = 300 m . the time required = d / s = 300 / 20 = 15 sec . answer : b\"" + }, + { + "Answer": 10.45077684107852, + "Options": "a ) 5.5 , b ) 10.45 , c ) 7 , d ) 8 , e ) 9.5", + "Correct": "b", + "Explanation": "\"speed of train relative to man = 55 + 7 = 62 km / hr . = 62 * 5 / 18 = 155 / 9 m / sec . time taken to pass the men = 180 * 9 / 155 = 10.45 sec . answer : option b\"" + }, + { + "Answer": 11, + "Options": "a ) 11 , b ) 10 , c ) 9 , d ) 8 , e ) 7", + "Correct": "a", + "Explanation": "\"let sheila earn x dollars per hour so , on monday , wednesday and friday , she earns 8 x each and , on tuesday and thursday , she earns 6 x each in total , over the week she should earn , 3 ( 8 x ) + 2 ( 6 x ) = 36 x she earns $ 396 per week 36 x = 396 x = 11 correct option : a\"" + }, + { + "Answer": 12, + "Options": "a ) 24 , b ) 77 , c ) 88 , d ) 29 , e ) 12", + "Correct": "e", + "Explanation": "\"explanation : less men , means more days { indirect proportion } let the number of days be x then , 54 : 36 : : 18 : x x = 12 answer : e ) 12 days\"" + }, + { + "Answer": 20.000000000000007, + "Options": "a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60", + "Correct": "a", + "Explanation": "\"each hour they complete 1 / 3 + 1 / 9 = 4 / 9 of the job . in 2 hours , they complete 2 ( 4 / 9 ) = 8 / 9 of the job . the time for p to finish is ( 1 / 9 ) / ( 1 / 3 ) = ( 1 / 3 ) hour = 20 minutes the answer is a .\"" + }, + { + "Answer": 3, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "c", + "Explanation": "\"the distance traveled by ferry p is 18 km . then the distance traveled by ferry q is 54 km . ferry q travels at a speed of 9 kph . the time of the journey for ferry q is 54 / 9 = 6 hours , which is 3 hours more than ferry p . the answer is c .\"" + }, + { + "Answer": 21375, + "Options": "a ) 21375 , b ) 25750 , c ) 26550 , d ) 26750 , e ) 25725", + "Correct": "a", + "Explanation": "\"area = 5 \u00d7 4.75 sq . metre . cost for 1 sq . metre . = rs . 900 hence total cost = 5 \u00d7 4.75 \u00d7 900 = 5 \u00d7 4275 = rs . 21375 answer is a .\"" + }, + { + "Answer": 38, + "Options": "a ) 39 \u00b0 c , b ) 44 \u00b0 c , c ) 37 \u00b0 c , d ) 42 \u00b0 c , e ) 38 c", + "Correct": "e", + "Explanation": "\"explanation : t + w + t = 45 \u00d7 3 = 135 \u00b0 c w + t + f = 50 \u00d7 3 = 150 \u00b0 c also , temperature on friday = 53 \u00b0 c temperature on tuesday = 135 + 53 - 150 = 38 \u00b0 c answer : option e\"" + }, + { + "Answer": 5964, + "Options": "a ) 5964 , b ) 5664 , c ) 4964 , d ) 4664 , e ) 5555", + "Correct": "a", + "Explanation": "852 ) 1491 ( 1 852 639 ) 852 ( 1 639 213 ) 639 ( 3 639 0 h . c . f of 852 and 1491 is 213 : . l . c . m = 852 * 1491 / 213 = 5964 answer is a ." + }, + { + "Answer": 4, + "Options": "a ) 2 days , b ) 3 days , c ) 4 days , d ) 5 days , e ) 6 days", + "Correct": "c", + "Explanation": "ratio of rates of working of a and b = 2 : 1 ratio of times taken = 1 : 2 a ' s 1 day work = 1 / 6 b ' s 1 day work = 1 / 12 a + b 1 day work = 1 / 6 + 1 / 12 = 3 / 12 = 1 / 4 a and b can finish the work in 4 days answer is c" + }, + { + "Answer": 11, + "Options": "a ) 2 , b ) 7 , c ) 9 , d ) 11 , e ) 12", + "Correct": "d", + "Explanation": "adding the digits in unit ' s place , a + 3 + 9 = 19 ( since a and b are positive single digits ) = > a = 7 now adding the digits in ten ' s place , 2 + 3 + b + 1 = 9 ( 1 has been carried over from nit ' s place addition ) = > b = 3 a + 3 b = 2 + 2 * 3 = 11 answer d" + }, + { + "Answer": 107.99999999999999, + "Options": "a ) 36 , b ) 72 , c ) 120 , d ) 144 , e ) 108", + "Correct": "e", + "Explanation": "\"old machine 100 bolts in 60 mins so , 5 / 3 bolts in 1 min new machine 150 bolts in 60 mins so , 5 / 2 bolts in 1 min together , 5 / 3 + 5 / 2 = 25 / 6 bolts in 1 min so , for 450 bolts 450 * 6 / 25 = 108 mins ans e\"" + }, + { + "Answer": 11, + "Options": "a ) 11 sec , b ) 15 sec , c ) 16 sec , d ) 20 sec , e ) none", + "Correct": "a", + "Explanation": "\"sol . speed = ( 90 x 5 / 18 ) m / sec . = 25 m / sec . time taken = ( 275 x 1 / 25 ) sec = 11 sec answer a\"" + }, + { + "Answer": 200, + "Options": "a ) 200 m , b ) 178 m , c ) 186 m , d ) 168 m , e ) 150 m", + "Correct": "a", + "Explanation": "\"speed = 60 * 5 / 18 = 50 / 3 m / sec length of the train = speed * time = 50 / 3 * 12 = 200 m answer : a\"" + }, + { + "Answer": 160, + "Options": "a ) 127 , b ) 160 , c ) 287 , d ) 237 , e ) 111", + "Correct": "b", + "Explanation": "a : b : c = 7 : 8 : 11 . hire charges paid by b = rs . ( 520 * 8 / 26 ) = rs . 160 . answer : b" + }, + { + "Answer": 35, + "Options": "a ) 35 , b ) 36 , c ) 37 , d ) 38 , e ) 39", + "Correct": "a", + "Explanation": "let no . days be = x and no . days he is absent = 60 - x , so 7 x - 3 ( 60 - x ) = 170 x = 35 answer : a" + }, + { + "Answer": 125, + "Options": "['a ) rs . 128', 'b ) rs . 129', 'c ) rs . 125', 'd ) rs . 198', 'e ) rs . 120']", + "Correct": "c", + "Explanation": "3 x * 2 x = 3750 = > x = 25 2 ( 75 + 50 ) = 250 m 250 * 1 / 2 = rs . 125 answer : c" + }, + { + "Answer": 270, + "Options": "['a ) 260', 'b ) 262', 'c ) 270', 'd ) 272', 'e ) none of these']", + "Correct": "c", + "Explanation": "explanation : volume will be length * breadth * height , but in this case two heights are given so we will take average , volume = ( 12 \u2217 9 \u2217 ( 1 + 4 / 2 ) ) m 312 \u2217 9 \u2217 2.5 m 3 = 270 m 3 option c" + }, + { + "Answer": 24, + "Options": "a ) 24 kmph , b ) 25 kmph , c ) 26 kmph , d ) 30 kmph , e ) 28 kmph", + "Correct": "a", + "Explanation": "the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 72 / 3 = 24 kmph . answer : a" + }, + { + "Answer": 182, + "Options": "a ) 126 , b ) 136 , c ) 146 , d ) 156 , e ) 182", + "Correct": "e", + "Explanation": "\"reciprocal of the hcf and lcm of two are 1 / 14 and 1 / 312 so , hcf = 14 , lcm = 312 lcm * hcf = product of two numbers = a * b = > b = lcm * hcf / a so , other = 14 * 312 / 24 = 182 answer : e\"" + }, + { + "Answer": 240.0416, + "Options": "a ) 230 m , b ) 270 m , c ) 240 m , d ) 832 m , e ) 270 m", + "Correct": "c", + "Explanation": "\"speed = ( 72 x 5 / 18 ) m / sec = 20 m / sec . time = 26 sec . let the length of the train be x metres . then , x + 280 / 26 = 20 x + 280 = 520 x = 240 . answer : c\"" + }, + { + "Answer": 5, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "e", + "Explanation": "as cars are moving in opposite directions their speeds will be added . so their relative speeds : 60 + 40 = 100 mph total distance to be covered = 500 miles . time taken would be : 500 miles / 100 mph = 5 hours e is the answer ." + }, + { + "Answer": 285, + "Options": "a ) 205 , b ) 245 , c ) 285 , d ) 325 , e ) 365", + "Correct": "c", + "Explanation": "after two hours , train a is ahead by 60 miles . train b can catch up at a rate of 8 miles per hour . the time to catch up is 60 / 8 = 7.5 hours . in 7.5 hours , train a travels another 30 * 7.5 = 225 miles for a total of 285 miles . the answer is c ." + }, + { + "Answer": 140, + "Options": "a ) 100 km , b ) 140 km , c ) 50 km , d ) 120 km , e ) 200 km", + "Correct": "b", + "Explanation": "\"suppose after x km from the start b catches up with a . then , the difference in the time taken by a to cover x km and that taken by b to cover x km is 7 hours . x / 10 - x / 20 = 7 x = 140 km answer is b\"" + }, + { + "Answer": 700, + "Options": "a ) 350 m , b ) 200 m , c ) 400 m , d ) 700 m , e ) none of them", + "Correct": "d", + "Explanation": "relative speed of the policeman = ( 10 - 8 ) km / hr = 2 km / hr . time taken by police man to cover ( 175 m / 1000 ) x 1 / 2 hr = 7 / 80 hr . in 7 / 80 hrs , the thief covers a distance of 8 x 7 / 80 km = 7 / 10 km = 700 m answer is d ." + }, + { + "Answer": 240, + "Options": "a ) 220 , b ) 210 , c ) 200 , d ) 240 , e ) 260", + "Correct": "d", + "Explanation": "\"no . of letters typing by 10 typists in 20 minutes = 20 no . of letters typing by 10 typists in 60 minutes = 20 * 3 = 60 no . of letters typing by 40 typists in 60 minutes = 60 / 10 * 40 = 240 answer : d\"" + }, + { + "Answer": 36, + "Options": "a ) 13 seconds , b ) 17 seconds , c ) 36 seconds , d ) 34 seconds , e ) 51 seconds", + "Correct": "c", + "Explanation": "\"let t be the time that john spent for his final push . thus , per the question , 4.2 t = 3.7 t + 16 + 2 - - - > 0.5 t = 18 - - - > t = 36 seconds . c is the correct answer .\"" + }, + { + "Answer": 464, + "Options": "a ) 242 , b ) 353 , c ) 464 , d ) 575 , e ) 686", + "Correct": "c", + "Explanation": "\"58 / 4 = 14.5 gallons 14.5 * 32 = 464 miles the answer is c .\"" + }, + { + "Answer": 95, + "Options": "a ) s . 109 , b ) s . 108 , c ) s . 100 , d ) s . 95 , e ) s . 102", + "Correct": "d", + "Explanation": "\"3 x 4 x 5 x 6 9 4 18 x + 36 x + 20 x = 1406 74 x = 1406 = > x = 19 5 x = 95 rs . answer : d\"" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 8", + "Correct": "a", + "Explanation": "\"8 / ( 2 * 2 ) = 2 days answer : a\"" + }, + { + "Answer": 5, + "Options": "a ) 5 days , b ) 10 days , c ) 14 days , d ) 22 days , e ) 26 days", + "Correct": "a", + "Explanation": "\"explanation : work done by p in 1 day = 1 / 10 work done by q in 1 day = 1 / 6 work done by p in 2 days = 2 \u00e3 \u2014 ( 1 / 10 ) = 1 / 5 remaining work = 1 \u00e2 \u20ac \u201c 1 / 5 = 4 / 5 work done by p and q in 1 day = 1 / 10 + 1 / 6 = 4 / 15 number of days p and q take to complete the remaining work = ( 4 / 5 ) / ( 4 / 15 ) = 3 total days = 2 + 3 = 5 answer : option a\"" + }, + { + "Answer": 140.03999999999996, + "Options": "a ) 220 meter , b ) 225 meter , c ) 140 meter , d ) 235 meter , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : as trains are running in opposite directions so their relative speed will get added so , relative speed = 120 + 80 = 200 kmph = 200 * ( 5 / 18 ) = 500 / 9 m / sec let the length of other train is x meter then x + 360 / 9 = 500 / 9 = > x + 360 = 500 = > x = 140 so the length of the train is 140 meters option c\"" + }, + { + "Answer": 6, + "Options": "a ) 4.5 , b ) 5 , c ) 6 , d ) 7 , e ) 8", + "Correct": "c", + "Explanation": "a : b : c efficiency 10 : 9 : 6 no of days 9 x : 10 x : 15 x given = > 15 x - 9 x = 6 hence , x = 1 number of days taken by a = 9 and daily work done = 10 number of days taken by b = 10 and daily work done = 9 ( total work = 90 ) number of days taken by c = 15 and daily work done = 6 work done by b and c in initial 2 days = 30 rest work = 60 number of days required by a to finish = 60 / 10 = 6 days answer : c" + }, + { + "Answer": 42, + "Options": "a ) 50 kmph , b ) 58 kmph , c ) 62 kmph , d ) 65 kmph , e ) 42 kmph", + "Correct": "e", + "Explanation": "\"relative speed = 280 / 9 m / sec = ( ( 280 / 9 ) * ( 18 / 5 ) ) kmph = 112 kmph . speed of goods train = ( 112 - 70 ) kmph = 42 kmph . answer : e\"" + }, + { + "Answer": 3.2, + "Options": "a ) 2.5 , b ) 3.2 , c ) 4.0 , d ) 6.5 , e ) 8.0", + "Correct": "b", + "Explanation": "\"let initial volume of ice be = x ice remaining after 1 hour = x - 0.75 x = 0.25 x ice remaining after 2 hour = ( 1 / 4 ) x - ( 3 / 4 * 1 / 4 * x ) = ( 1 / 16 ) x ( 1 / 16 ) x = 0.2 x = 3.2 alternate solution : try to backsolve . initial volume = 3.2 after one hour - - > ( 1 / 4 ) 3.2 = 0.8 after two hours - - > ( 1 / 4 ) 0.8 = 0.2 answer : b\"" + }, + { + "Answer": 56, + "Options": "a ) 34 , b ) 77 , c ) 36 , d ) 56 , e ) 91", + "Correct": "d", + "Explanation": "\"explanation : perimeter of the plot = 2 ( 90 + 50 ) = 280 m no of poles = 280 / 5 = 56 m answer : d\"" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", + "Correct": "a", + "Explanation": "39 = 19 + 16 + 12 - 4 - 2 x 2 x = 19 + 16 + 12 - 4 - 39 = 43 - 39 = 4 x = 2 a" + }, + { + "Answer": 36, + "Options": "a ) 87 , b ) 18 , c ) 17 , d ) 36 , e ) 10", + "Correct": "d", + "Explanation": "binders books days 30 1400 21 x 1600 20 x / 30 = ( 1600 / 1400 ) * ( 21 / 20 ) = > x = 36 answer : d" + }, + { + "Answer": 3240, + "Options": "a ) 60 , b ) 61.2 , c ) 3240 , d ) 3,600 , e ) 3,672", + "Correct": "c", + "Explanation": "\"moon revolves around the earth at a speed of 1.02 kilometers per second . one hour equal to 60 minutes . one minute equals to 60 seconds . so one hour equals to 3600 seconds . so one hour , speed = 0.9 * 3600 = 3240 kilometers per hour . option c is correct\"" + }, + { + "Answer": 2, + "Options": "a ) 2 km , b ) 3 km , c ) 4 km , d ) 5 km , e ) 6 km", + "Correct": "a", + "Explanation": "\"let the distance be x t 1 = x / 4 hr t 2 = x / 8 hr difference in time = 7 + 8 = 15 = 1 / 4 hr x / 4 - x / 8 = 1 / 4 x / 8 = 1 / 4 x = 2 km answer is a\"" + }, + { + "Answer": 6400, + "Options": "a ) 5600 , b ) 600 , c ) 6400 , d ) 7200 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : no . of bricks = volume of the wall / volume of 1 brick = ( 800 x 600 x 22.5 ) / ( 25 x 11.25 x 6 ) = 6400 answer : c\"" + }, + { + "Answer": 59.99520038396929, + "Options": "a ) 11 , b ) 78 , c ) 60 , d ) 28 , e ) 81", + "Correct": "c", + "Explanation": "let the speed of the slower train be x m / sec . then , speed of the train = 2 x m / sec . relative speed = ( x + 2 x ) = 3 x m / sec . ( 100 + 100 ) / 8 = 3 x = > x = 25 / 3 . so , speed of the faster train = 50 / 3 = 50 / 3 * 18 / 5 = 60 km / hr . answer : c" + }, + { + "Answer": 1366.6666666666667, + "Options": "a ) 5655 , b ) 1366 , c ) 6444 , d ) 7266 , e ) none of these", + "Correct": "b", + "Explanation": "explanation : no . of bricks = volume of the wall / volume of 1 brick = ( 600 x 400 x 20.5 ) / ( 30 x 12 x 10 ) = 1366 answer : b" + }, + { + "Answer": 600.0000000000001, + "Options": "a ) 300 , b ) 245 , c ) 600 , d ) 743 , e ) 215", + "Correct": "c", + "Explanation": "c 600 wc = 1 / 6 : 1 / 8 : 1 / 12 = > 4 : 3 : 2 3 / 9 * 1800 = 600" + }, + { + "Answer": 50, + "Options": "a ) 40 , b ) 54 , c ) 50 , d ) 39 , e ) none", + "Correct": "c", + "Explanation": "\"no . of toys = 100 / 2 = 50 answer : c\"" + }, + { + "Answer": 14.916129032258064, + "Options": "a ) 14.83 , b ) 14.81 , c ) 14.91 , d ) 14.82 , e ) 14.12", + "Correct": "c", + "Explanation": "\"explanation : since 310 inch = 136 km so 1 inch = 136 / 310 km so 34 inch = ( 136 \u00e3 \u2014 34 ) / 310 = 14.91 km answer : c\"" + }, + { + "Answer": 300, + "Options": "a ) 250 , b ) 300 , c ) 350 , d ) 400 , e ) 500", + "Correct": "b", + "Explanation": "\"nice problem . + 1 . first timetogetherthey run half of the circumference . second timetogetherthey run full circumference . first time brenda runs 100 meters , thus second time she runs 2 * 100 = 200 meters . since second time ( when they run full circumference ) brenda runs 200 meters and sally runs 100 meters , thus the circumference is 200 + 100 = 300 meters . answer : b .\"" + }, + { + "Answer": 3200, + "Options": "a ) 4500 , b ) 3200 , c ) 3400 , d ) 2761 , e ) 2882", + "Correct": "b", + "Explanation": "\"( 2000 * 3 * 32 ) / 60 = 3200 m 3 answer : b\"" + }, + { + "Answer": 24, + "Options": "a ) 33 , b ) 77 , c ) 24 , d ) 55 , e ) 71", + "Correct": "c", + "Explanation": "\"2 c = \u00bc + 1 / 6 \u2013 1 / 3 = 1 / 12 c = 1 / 24 = > 24 days answer : c\"" + }, + { + "Answer": 102.85714285714286, + "Options": "a ) 69 miles , b ) 88 miles , c ) 96 miles , d ) 102.8 miles , e ) 112 miles", + "Correct": "d", + "Explanation": "\"upstream speed = 21 - 3 = 18 mph downstream speed = 21 + 3 = 24 mph d / 18 + d / 24 = 10 hours solving for d we get d = 102.8 answer : d\"" + }, + { + "Answer": 360, + "Options": "a ) 338 m , b ) 778 m , c ) 200 m , d ) 276 m , e ) 360 m", + "Correct": "e", + "Explanation": "\"2 ( l + 240 ) = 1200 = > l = 360 m answer : e\"" + }, + { + "Answer": 89, + "Options": "a ) 28 sec , b ) 89 sec , c ) 85 sec , d ) 16 sec , e ) 15 sec", + "Correct": "b", + "Explanation": "speed = 240 / 24 = 10 m / sec . required time = ( 240 + 650 ) / 10 = 89 sec . answer : b" + }, + { + "Answer": 64, + "Options": "['a ) 177 cm', 'b ) 100 cm', 'c ) 86 cm', 'd ) 64 cm', 'e ) 87 cm']", + "Correct": "d", + "Explanation": "number of cubes = 100 \u00e2 \u02c6 \u2014 100 \u00e2 \u02c6 \u2014 100 / 25 \u00e2 \u02c6 \u2014 25 \u00e2 \u02c6 \u2014 25 = 64 note : 1 m = 100 cm answer : d" + }, + { + "Answer": 124, + "Options": "a ) 99 , b ) 112 , c ) 118 , d ) 124 , e ) 130", + "Correct": "d", + "Explanation": "let x be the number of green apples . there were 496 total apples ; there are three times as many red apples as green apples . therefore , x + 3 x = 496 4 x = 496 x = 124 answer : d" + }, + { + "Answer": 0.023809523809523808, + "Options": "a ) 1 / 3 , b ) 1 / 30 , c ) 1 / 42 , d ) 2 , e ) 30", + "Correct": "c", + "Explanation": "pete covered 3.5 * 60 = 210 miles which correspond to 5 inches on the map - - > scale in inches per mile is 5 / 210 = 1 / 42 . answer : c ." + }, + { + "Answer": 150.03199999999998, + "Options": "a ) 150 m , b ) 200 m , c ) 250 m , d ) 270 m , e ) 300 m", + "Correct": "a", + "Explanation": "\"d = 72 * 5 / 18 = 20 = 400 \u00e2 \u20ac \u201c 250 = 150 m answer : a\"" + }, + { + "Answer": 3.4285714285714284, + "Options": "a ) 2 hours , b ) 2.4 hours , c ) 3 hours , d ) 3.4 hours , e ) 4.5 hours", + "Correct": "d", + "Explanation": "\"explanation : part filled by ( p + q + r ) in 1 hour = ( 1 / 6 + 1 / 12 + 1 / 24 ) = 7 / 24 all the three pipes together will fill the tank = 24 / 7 = 3.4 hours answer d\"" + }, + { + "Answer": 19.999999999999996, + "Options": "a ) 20 , b ) 87 , c ) 276 , d ) 198 , e ) 171", + "Correct": "a", + "Explanation": "explanation : average speed = ( 2 \u00d7 a \u00d7 b ) / ( a + b ) here a = 25 b = 4 average speed = 2 \u00d7 25 \u00d7 4 / ( 25 + 4 ) = 200 / 29 kmph . distance covered in 5 hours 48 minutes = speed \u00d7 time distance = ( 200 / 29 ) \u00d7 ( 29 / 5 ) = 40 kms distance covered in 5 hours 48 minutes = 40 kms distance of the post office from the village = ( 40 / 2 ) = 20 km . answer : a" + }, + { + "Answer": 16, + "Options": "a ) 11 km , b ) 13 km , c ) 16 km , d ) 18 km , e ) 19 km", + "Correct": "c", + "Explanation": "let the distance travelled on foot be x km . then , distance travelled on bicycle = ( 61 - x ) km . so , x + ( 61 - x ) = 9 4 9 9 x + 4 ( 61 - x ) = 9 x 36 5 x = 80 x = 16 km . c" + }, + { + "Answer": 11.999040076793857, + "Options": "a ) 5 sec , b ) 9 sec , c ) 12 sec , d ) 18 sec , e ) 15 sec", + "Correct": "c", + "Explanation": "\"answer : c . speed of the train relative to man = ( 68 - 8 ) kmph = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec time taken by the train to cross the man = time taken by it to cover 200 m at 50 / 3 m / sec = 200 * 3 / 50 sec = 12 sec\"" + }, + { + "Answer": 24.00000000000002, + "Options": "a ) 12 , b ) 15 , c ) 20 , d ) 21 , e ) 24", + "Correct": "e", + "Explanation": "\"each hour they complete 1 / 4 + 1 / 20 = 3 / 10 of the job . in 3 hours , they complete 3 ( 3 / 10 ) = 9 / 10 of the job . the time for p to finish is ( 1 / 10 ) / ( 1 / 4 ) = ( 2 / 5 ) hour = 24 minutes the answer is e .\"" + }, + { + "Answer": 107.99136069114472, + "Options": "a ) 105 , b ) 106 , c ) 107 , d ) 108 , e ) 109", + "Correct": "d", + "Explanation": "time taken to meet for the first time anywhere on the track = length of the track / relative speed = 4800 / ( 60 + 100 ) 5 / 18 = 4800 * 18 / 160 * 5 = 108 seconds . answer : d" + }, + { + "Answer": 10, + "Options": "a ) 8 , b ) 10 , c ) 12 , d ) 15 , e ) 17", + "Correct": "b", + "Explanation": "\"30 * 25 = 750 425 - - - - - - - - - - - 325 25 + 7.50 = 32.5 325 / 32.5 = 10 b\"" + }, + { + "Answer": 4.499640028797696, + "Options": "a ) 4.5 sec , b ) 4.8 sec , c ) 4.2 sec , d ) 5.0 sec , e ) 5.2 sec", + "Correct": "a", + "Explanation": "d = 100 m + 100 m = 200 m * 1 / 1000 = 0.2 kms rs = 80 + 80 = 160 kmph t = ( 0.2 / 160 ) * 3600 = 4.5 sec answer : a" + }, + { + "Answer": 340, + "Options": "['a ) 320', 'b ) 340', 'c ) 300', 'd ) 330', 'e ) 360']", + "Correct": "b", + "Explanation": "explanation : area of the floor = 4 m x 5 m = 20 m 2 17 bricks are needed to make 1 m 2 area . so to make 20 m 2 no of bricks needed = 17 x 20 = 340 answer : b" + }, + { + "Answer": 60, + "Options": "a ) 25 kmph , b ) 60 kmph , c ) 100 kmph , d ) 120 kmph , e ) 180 kmph", + "Correct": "b", + "Explanation": "\"time = 12 distence = 540 3 / 4 of 12 hours = 12 * 3 / 4 = 9 hours required speed = 540 / 9 = 60 kmph b )\"" + }, + { + "Answer": 29.999999999999982, + "Options": "a ) 4.5 hrs , b ) 5 hrs , c ) 6.5 hrs , d ) 7.2 hrs , e ) 30 hrs", + "Correct": "e", + "Explanation": "\"net part filled in 1 hour = 1 / 5 - 1 / 6 = 1 / 30 therefore the cistern will be filled in 30 hours . answer : e\"" + }, + { + "Answer": 1200, + "Options": "a ) 1 km , b ) 500 mts , c ) 600 mts , d ) 2 km , e ) 1200 mts", + "Correct": "e", + "Explanation": "let the each distance be x km total distance = 3 x then total time , ( x / 4 ) + ( x / 8 ) + ( x / 12 ) = 11 / 60 x = 0.4 total distance = 3 * 0.4 = 1.2 km = 1200 meters correct option is e" + }, + { + "Answer": 2, + "Options": "a ) 1 hours , b ) 2 hours , c ) 3 hours , d ) 4 hours , e ) 5 hours", + "Correct": "b", + "Explanation": "in 30 minutes the man would have droven 20 miles , when his wife starts . now both are driving in the same direction . so speed of wife related to man is 10 ( 50 - 40 ) miles / hr . so wife will cover 20 miles in 2 hours to meet the man . answer : b" + }, + { + "Answer": 26, + "Options": "a ) 15 , b ) 19 , c ) 14 , d ) 18 , e ) 26", + "Correct": "e", + "Explanation": "the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 78 / 3 = 26 kmph . answer : e" + }, + { + "Answer": 36, + "Options": "a ) 2 , b ) 13 , c ) 24 , d ) 36 , e ) 42", + "Correct": "d", + "Explanation": "\"let the speed be x . . . so time taken from home to grocery = 960 / x . . the speed to gym = 2 x . . so time taken = 480 / 2 x = 240 / x . . its given 960 / x - 240 / x = 40 . . 720 / x = 40 . . x = 18 m / secs . . so grocery to gym = 2 * 18 = 36 m / s . . . d\"" + }, + { + "Answer": 12.4990000799936, + "Options": "a ) 22 sec , b ) 77 sec , c ) 25 sec , d ) 18 sec , e ) 12.5 sec", + "Correct": "e", + "Explanation": "\"d = 100 + 150 = 250 s = 72 * 5 / 18 = 20 mps t = 250 / 20 = 12.5 sec answer : e\"" + }, + { + "Answer": 150, + "Options": "a ) 187 cm 2 , b ) 185 cm 2 , c ) 150 cm 2 , d ) 185 cm 2 , e ) 195 cm 2", + "Correct": "c", + "Explanation": "\"explanation : area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 10 ) * ( 10 ) = 150 cm 2 answer : option c\"" + }, + { + "Answer": 1400, + "Options": "a ) 1000 , b ) 1500 , c ) 1240 , d ) 1630 , e ) 1400", + "Correct": "e", + "Explanation": "\"70 kmph consumption is 1 lt / hr so 700 km will take 10 hrs and the consumption is 10 lt for entire distance . 1 lt costs $ 70 so 10 lt costs $ 700 extra expenses for 1 hr - $ 70 10 hrs - $ 700 total expense - $ 700 + $ 700 = $ 1400 answer : e\"" + }, + { + "Answer": 76.59574468085106, + "Options": "a ) 71.5 , b ) 72 , c ) 72.5 , d ) 73 , e ) 76.6", + "Correct": "e", + "Explanation": "\"many approaches are possible , one of them : let the distance be 1 kilometer . time to cover this distance at 80 kilometers per hour is 1 / 80 hours = 3,600 / 80 seconds = 45 seconds ; time to cover this distance at regular speed is 45 + 2 = 47 seconds = 47 / 3,600 hours = 5 / 383 hours ; so , we get that to cover 1 kilometer 1 / ( 5 / 383 ) hours is needed - - > regular speed 76.6 kilometers per hour ( rate is a reciprocal of time or rate = distance / time ) . answer : e\"" + }, + { + "Answer": 100, + "Options": "a ) 200 , b ) 100 , c ) 50 , d ) 1200 , e ) 500", + "Correct": "b", + "Explanation": "the three lengths in cm are 600,500 & 1200 . hcf of 600 , 500 & 1200 is 100 hence , the answer is 100 cm . answer : b" + }, + { + "Answer": 4, + "Options": "a ) 4 hours , b ) 5 hours , c ) 6 hours , d ) 7 hours , e ) 8 hours", + "Correct": "a", + "Explanation": "\"explanation : it is very important to check , if the boat speed given is in still water or with water or against water . because if we neglect it we will not reach on right answer . i just mentioned here because mostly mistakes in this chapter are of this kind only . lets see the question now . speed downstream = ( 16 + 5 ) = 21 kmph time = distance / speed = 84 / 21 = 4 hours answer is a\"" + }, + { + "Answer": 35.99712023038157, + "Options": "a ) 22 , b ) 36 , c ) 99 , d ) 77 , e ) 12", + "Correct": "b", + "Explanation": "\"speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 600 * 3 / 50 = 36 sec . answer : b\"" + }, + { + "Answer": 30, + "Options": "a ) 35 , b ) 30 , c ) 45 , d ) 40 , e ) 50", + "Correct": "b", + "Explanation": "the distance traveled by both of them is the same at the time of overtaking . 3 ( t + 12 ) = 5 t t = 18 . cristina will catch up nicky in 18 seconds . so in 18 seconds cristina would cover = 18 * 5 = 90 meter . now time taken my nicky to cover 90 meter = 90 / 3 = 30 seconds . b" + }, + { + "Answer": 7, + "Options": "a ) 6 kmph , b ) 5 kmph , c ) 2 kmph , d ) 8 kmph , e ) 7 kmph", + "Correct": "e", + "Explanation": "\"speed downstream = d / t = 72 / ( 3 ) = 24 kmph speed upstream = d / t = 30 / ( 3 ) = 10 kmph the speed of the stream = ( 24 - 10 ) / 2 = 7 kmph answer : e\"" + }, + { + "Answer": 30, + "Options": "a ) 25 m , b ) 30 m , c ) 32 m , d ) 50 m , e ) 62 m", + "Correct": "b", + "Explanation": "\"new speed = 5 / 6 th of usual speed new time = 6 / 5 th of usual time 6 / 5 ut - ut = 6 m ut / 5 = 6 m ut = 30 m answer is b\"" + }, + { + "Answer": 10, + "Options": "a ) 10 sec , b ) 15 sec , c ) 12 sec , d ) 11 sec , e ) 16 sec", + "Correct": "a", + "Explanation": "\"a 10 sec speed of the bullet train relative to man = ( 69 + 3 ) kmph = 72 * 5 / 18 m / sec = 60 / 3 m / sec . time taken by the bullet train to cross the man = time taken by it to cover 200 m at ( 60 / 3 ) m / sec = ( 200 * 3 / 60 ) sec = 10 sec\"" + }, + { + "Answer": 8.999280057595392, + "Options": "a ) 8 sec , b ) 1 sec , c ) 9 sec , d ) 6 sec , e ) 2 sec", + "Correct": "c", + "Explanation": "\"t = 90 / 36 * 18 / 5 = 9 sec answer : c\"" + }, + { + "Answer": 20, + "Options": "a ) 38 metre , b ) 28 metre , c ) 20 metre , d ) 15 metre , e ) 28 metre", + "Correct": "c", + "Explanation": "\"clearly , a beats b by 4 seconds now find out how much b will run in these 4 seconds speed of b = distance / time taken by b = 160 / 32 = 5 m / s distance covered by b in 4 seconds = speed \u00e3 \u2014 time = 5 \u00e3 \u2014 4 = 20 metre i . e . , a beat b by 20 metre answer is c\"" + }, + { + "Answer": 140, + "Options": "a ) 66 , b ) 70 , c ) 95 , d ) 112 , e ) 140", + "Correct": "e", + "Explanation": "first round distance travelled ( say ) = d speed = 75 k / h time taken , t 2 = d / 75 hr second round distance traveled = d ( same distance ) speed = 105 k / h time taken , t 2 = d / 105 hr total time taken = 4 hrs therefore , 4 = d / 75 + d / 105 lcm of 75 and 105 = 525 4 = d / 75 + d / 105 = > 4 = 7 d / 525 + 5 d / 525 = > d = 525 / 3 km therefore , t 1 = d / 75 = > t 1 = 525 / ( 3 x 75 ) = > t 1 = ( 7 x 60 ) / 3 - - in minutes = > t 1 = 140 minutes . e" + }, + { + "Answer": 5, + "Options": "a ) 9 , b ) 5 , c ) 7 , d ) 6 , e ) 51", + "Correct": "b", + "Explanation": "\"explanation : speed downstream = ( 20 + 5 ) kmph = 25 kmph distance travelled = ( 25 * ( 12 / 60 ) ) km = 5 km . answer : b\"" + }, + { + "Answer": 5, + "Options": "a ) 8 kmph , b ) 5 kmph , c ) 4 kmph , d ) 6 kmph , e ) 7 kmph", + "Correct": "b", + "Explanation": "\"speed downstream = 12 / 2 = 6 kmph speed upstream = 12 / 3 = 4 kmph speed of the boat in still water = 6 + 4 / 2 = 5 kmph answer : b\"" + }, + { + "Answer": 72, + "Options": "a ) 80 , b ) 90 , c ) 30 , d ) 72 , e ) 60", + "Correct": "d", + "Explanation": "d 72 sum = ( n x n ) + n hence , 8 x 8 = 64 + 8 = 72" + }, + { + "Answer": 3.750000000000001, + "Options": "a ) 45 / 12 , b ) 23 / 12 , c ) 40 / 33 , d ) 34 / 12 , e ) 43 / 5", + "Correct": "a", + "Explanation": "in first 3 hrs al will finish 3 / 12 = 1 / 4 of work and allison will finish 3 / 9 = 1 / 3 work so total 1 / 4 + 1 / 3 = 7 / 12 work is finished and 1 - 7 / 12 = 5 / 12 work remaining . now allison will take ( 5 / 12 ) * 9 = 45 / 12 hrs to finish it . so answer is a ." + }, + { + "Answer": 500, + "Options": "a ) 250 km , b ) 300 km , c ) 500 km , d ) 450 km , e ) 350 km", + "Correct": "c", + "Explanation": "\"t = 5 hr s = 100 km / hr d = t * s = 100 * 5 = 500 km answer is c\"" + }, + { + "Answer": 3.6, + "Options": "a ) 1.2 km , b ) 2.4 km , c ) 3.2 km , d ) 3.6 km , e ) 4.6 km", + "Correct": "d", + "Explanation": "\"speed downstream = ( 15 + 3 ) kmph = 18 kmph . distance travelled = 18 x 12 / 60 km = 3.6 km . answer : d\"" + }, + { + "Answer": 7, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "b", + "Explanation": "the number of hours required to complete the work is 10 * 7 * 18 = 1260 15 \u00d7 12 \u00d7 ( x ) = 1260 x = 7 the answer is b ." + }, + { + "Answer": 24, + "Options": "a ) 15 , b ) 18 , c ) 21 , d ) 24 , e ) 27", + "Correct": "d", + "Explanation": "\"let k and t be the speeds of karen and tom respectively . t be the time that karen will travel - - - - > t + 4 / 60 will be the total time tom will travel by the time the distance between karen and tom is 4 miles . thus , per the question , k ( t ) - t ( t + 4 / 60 ) = 4 - - - > t = 7 / 15 hours thus the distance traveled by tom when karen is 4 miles ahead of him w : t * ( t + 4 / 60 ) = 45 ( 7 / 15 + 4 / 60 ) = 24 miles . d is the correct answer .\"" + }, + { + "Answer": 50.00000000000006, + "Options": "a ) 48 , b ) 50 , c ) 22 , d ) 27 , e ) 221", + "Correct": "b", + "Explanation": "explanation : let the capacity of man = 3 units , and boy = 2 units per hour . now total work = 3 \u00d7 180 \u00d7 8 \u00d7 7 \u00d7 10 = 3 km . - - - - - - - ( 1 ) let k boys were recruited . now total work = ( 3 \u00d7 180 + 2 \u00d7 k ) \u00d7 9 \u00d7 7 \u00d7 30 = 12 km . - - - - - - ( 2 ) by dividing 2 nd equation by 1 st , \u21d2 ( 540 + 2 k ) \u00d7 9 \u00d7 7 \u00d7 303 \u00d7 180 \u00d7 8 \u00d7 7 \u00d7 10 = 4 ( 540 + 2 k ) \u00d7 9 \u00d7 7 \u00d7 303 \u00d7 180 \u00d7 8 \u00d7 7 \u00d7 10 = 4 \u21d2 k = 50 answer : b" + }, + { + "Answer": 16000, + "Options": "a ) 16000 , b ) 27778 , c ) 20000 , d ) 27999 , e ) 17799", + "Correct": "a", + "Explanation": "\"number of bricks = courtyard area / 1 brick area = ( 2000 \u00d7 1600 / 20 \u00d7 10 ) = 16000 answer : a\"" + }, + { + "Answer": 90, + "Options": "a ) 92 kmph , b ) 98 kmph , c ) 90 kmph , d ) 80 kmph , e ) 82 kmph", + "Correct": "c", + "Explanation": "\"time = 4 distence = 540 3 / 2 of 4 hours = 4 * 3 / 2 = 6 hours required speed = 540 / 6 = 90 kmph c )\"" + }, + { + "Answer": 44, + "Options": "a ) a ) 44 , b ) b ) 77 , c ) c ) 66 , d ) d ) 55 , e ) e ) 37", + "Correct": "a", + "Explanation": "\"( 36 * 8 ) / 30 = ( x * 6 ) / 50 = > x = 80 80 \u2013 36 = 44 answer : a\"" + }, + { + "Answer": 20, + "Options": "a ) 1 , b ) 3.5 , c ) 20 , d ) 49 , e ) 30", + "Correct": "c", + "Explanation": "explanation : let the required number days be x . less honey bees , more days ( indirect proportion ) less honey , less days ( direct proportion ) honey bees 1 : 20 : : 20 : x honey 20 : 1 = > 1 x 20 x x = 20 x 1 x 20 = > x = 20 . answer : c" + }, + { + "Answer": 83, + "Options": "a ) 227 , b ) 83 , c ) 23 , d ) 827 , e ) none of these", + "Correct": "b", + "Explanation": "explanation : whenever we have to solve this sort of question , remember the formula . lcm = \\ \\ begin { aligned } \\ \\ frac { hcf of denominators } { lcm of numerators } \\ \\ end { aligned } so answers will be option 2 , please also give attention to the difference in formula of hcf and lcm answer : option b" + }, + { + "Answer": 8, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 8 , e ) 6", + "Correct": "d", + "Explanation": "let ' s say 1 work is processing 24 gb of data . model m : 1 gb per min model n : 2 gb per min working together , 1 m and 1 n = 3 gb per min so , 8 times as many computers would work at 18 gb per min . so no . of m = 8 answer is d" + }, + { + "Answer": 40, + "Options": "a ) 180 sec , b ) 190 sec , c ) 290 sec , d ) 490 sec , e ) 40 sec", + "Correct": "e", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 10 ) / 200 = 50 sec . time taken by a = 50 - 10 = 40 sec . answer : e\"" + }, + { + "Answer": 30.000000000000004, + "Options": "a ) 30 kmh , b ) 40 kmh , c ) 42 kmh , d ) 44 kmh , e ) 50 kmh", + "Correct": "a", + "Explanation": "\"assume d / 3 = 240 ( this number is convenient because it is divisible by 80 , 15 and 48 ) so : 240 = 80 * t 1 = 3 hrs 240 = 15 * t 2 = 16 hrs 240 = 48 * t 3 = 5 hrs t = t 1 + t 2 + t 3 = 24 hrs d = rt ( 240 * 3 ) = r * 24 r = 30 answer : a\"" + }, + { + "Answer": 13, + "Options": "a ) 13 , b ) 12 , c ) 14 , d ) 16 , e ) 18", + "Correct": "a", + "Explanation": "\"26 trees have 25 gaps between them , required distance ( 325 / 25 ) = 13 a\"" + }, + { + "Answer": 4, + "Options": "a ) 2 . , b ) 4 . , c ) 5 . , d ) 6 , e ) 8 .", + "Correct": "b", + "Explanation": "\"total work = 18 * 8 = 144 beaver hours 36 beaver * x = 144 beaver hours x = 144 / 36 = 4 answer : b\"" + }, + { + "Answer": 26.000000000000018, + "Options": "a ) 17 hr , b ) 19 hr , c ) 10 hr , d ) 24 hr , e ) 26 hr", + "Correct": "e", + "Explanation": "\"work done by the tank in 1 hour = ( 1 / 2 - 2 1 / 6 ) = 1 / 26 leak will empty the tank in 26 hrs . answer : e\"" + }, + { + "Answer": 1485, + "Options": "a ) 1485 , b ) 2700 , c ) 3300 , d ) 4860 , e ) 5400", + "Correct": "a", + "Explanation": "whatever : my take selecting team of 4 out of 12 to assign to the shifts = 12 c 4 = 495 ways . now 4 out of 12 means total of 3 group possible . so putting them in shifts = counting methode : first , second , third , = 3 * 2 * 1 = 6 here alt and alt are the same : so 6 / 2 = 3 ways . total ways of selecting = ( selecting 4 out of 12 ) * arranging those teams in shifts = 495 * 3 = 1485 ans : a" + }, + { + "Answer": 6.666666666666667, + "Options": "a ) 13 / 2 , b ) 17 / 3 , c ) 15 / 2 , d ) 20 / 3 , e ) 9", + "Correct": "d", + "Explanation": "\"son ' s 1 day ' s work = ( 1 / 4 ) - ( 1 / 10 ) = 3 / 20 the son alone can do the work in 20 / 3 days answer is d\"" + }, + { + "Answer": 11.279097672186225, + "Options": "a ) 11.3 sec , b ) 12.1 sec , c ) 13.1 sec , d ) 16.5 sec , e ) 12.7 sec", + "Correct": "a", + "Explanation": "\"speed = 75 * 5 / 18 = 20.8 m / sec total distance covered = 100 + 135 = 235 m . required time = 235 / 20.8 ' = 11.3 sec . answer : a\"" + }, + { + "Answer": 14, + "Options": "a ) 11 kmph , b ) 12 kmph , c ) 14 kmph , d ) 17 kmph , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : if you solved this question yourself , then trust me you have a all very clear with the basics of this chapter . if not then lets solve this together . speed with current is 20 , speed of the man + it is speed of the current speed in still water = 20 - 3 = 17 now speed against the current will be speed of the man - speed of the current = 17 - 3 = 14 kmph option c\"" + }, + { + "Answer": 60, + "Options": "['a ) 40', 'b ) 50', 'c ) 60', 'd ) 70', 'e ) 80']", + "Correct": "c", + "Explanation": "let breadth = x metres . then , length = ( x + 20 ) metres . perimeter = 5300 / 26.50 m = 200 m . 2 [ ( x + 20 ) + x ] = 200 2 x + 20 = 100 2 x = 80 x = 40 . hence , length = x + 20 = 60 m . answer : c" + }, + { + "Answer": 7.82006405004841, + "Options": "a ) 7.18 , b ) 7.12 , c ) 7.16 , d ) 7.55 , e ) 7.82", + "Correct": "e", + "Explanation": "\"t = ( 150 + 165 ) / ( 80 + 65 ) * 18 / 5 t = 7.82 answer : e\"" + }, + { + "Answer": 125, + "Options": "a ) 125 m , b ) 150 m , c ) 187 m , d ) 167 m , e ) 197 m", + "Correct": "a", + "Explanation": "\"speed = 50 * 5 / 18 = 125 / 9 m / sec length of the train = speed * time = 125 / 9 * 9 = 125 m answer : a\"" + }, + { + "Answer": 20, + "Options": "a ) 12 , b ) 15 , c ) 18 , d ) 20 , e ) 25", + "Correct": "d", + "Explanation": "\"this is a very specific format that has appeared in a handful of real gmat questions , and you may wish to learn to recognize it : here we have a * fixed * distance , and we are given the difference between the times and speeds of two things that have traveled that distance . this is one of the very small number of question formats where backsolving is typically easier than solving directly , since the direct approach normally produces a quadratic equation . say team t ' s speed was s . then team t ' s time is 300 / s . team a ' s speed was then s + 5 , and team a ' s time was then 300 / ( s + 5 ) . we need to find an answer choice for s so that the time of team a is 3 less than the time of team t . that is , we need an answer choice so that 300 / ( s + 5 ) = ( 300 / s ) - 3 . you can now immediately use number properties to zero in on promising answer choices : the times in these questions will always work out to be integers , and we need to divide 300 by s , and by s + 5 . so we want an answer choice s which is a factor of 300 , and for which s + 5 is also a factor of 300 . so you can rule out answers a and c immediately , since s + 5 wo n ' t be a divisor of 300 in those cases ( sometimes using number properties you get to the correct answer without doing any other work , but unfortunately that ' s not the case here ) . testing the other answer choices , if you try answer d , you find the time for team t is 15 hours , and for team a is 12 hours , and since these differ by 3 , as desired , d is correct .\"" + }, + { + "Answer": 2, + "Options": "a ) 4 mph , b ) 2.5 mph , c ) 3 mph , d ) 2 mph , e ) none of these", + "Correct": "d", + "Explanation": "explanation : speed of the boat in still water = 10 mph let speed of the stream be x mph then , speed downstream = ( 10 + x ) mph speed upstream = ( 10 - x ) mph time taken to travel 36 miles upstream - time taken to travel 36 miles downstream = 90 / 60 hours = > 36 / ( 10 \u2212 x ) \u2212 36 / ( 10 + x ) = 3 / 2 = > 12 / ( 10 \u2212 x ) \u2212 12 / ( 10 + x ) = 1 / 2 = > 24 ( 10 + x ) \u2212 24 ( 10 \u2212 x ) = ( 10 + x ) ( 10 \u2212 x ) = > 240 + 24 x \u2212 240 + 24 x = ( 100 \u2212 x 2 ) = > 48 x = 100 \u2212 x 2 = > x 2 + 48 x \u2212 100 = 0 = > ( x + 50 ) ( x \u2212 2 ) = 0 = > x = - 50 or 2 . answer : option d" + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "c", + "Explanation": "91 - - - 7 ds = 13 ? - - - - 1 21 - - - - 7 us = 3 ? - - - - 1 m = ? m = ( 13 + 3 ) / 2 = 8 answer : c" + }, + { + "Answer": 7.5, + "Options": "a ) 10 , b ) 15 , c ) 20 , d ) 15 / 2 , e ) 24", + "Correct": "d", + "Explanation": "after passing the hiker the cyclist travels for 5 minutes at a rate of 10 miles / hour . in those 5 mins the cyclist travels a distance of 5 / 6 miles . in those 5 mins the hiker travels a distance of 1 / 2 miles . so the hiker still has to cover 1 / 2 miles to meet the waiting cyclist . the hiker will need 15 / 2 mins to cover the remaining 1 / 2 miles . so the answer is d ." + }, + { + "Answer": 32, + "Options": "a ) 24 , b ) 34 , c ) 44 , d ) 54 , e ) 32", + "Correct": "e", + "Explanation": "\"the product of two integers is equal to the product of their lcm and gcf . hence . 12 \u00d7 n = 48 \u00d7 8 n = 48 \u00d7 8 / 12 = 32 correct answer e\"" + }, + { + "Answer": 6.461538461538462, + "Options": "a ) a ) 3.2222 , b ) b ) 5 , c ) c ) 6.46 , d ) d ) 8.3333 , e ) e ) 9", + "Correct": "c", + "Explanation": "this question can be solved by different methods . we need to conserve time in exams so solving this problem using equations is the good idea . time taken to finish the job = xy / ( x + y ) = 12 x 14 / ( 12 + 14 ) = 150 / 25 = 6.46 days answer : c" + }, + { + "Answer": 5.2, + "Options": "a ) 10.6 , b ) 5.2 , c ) 10.8 , d ) 5.4 , e ) 5.0", + "Correct": "b", + "Explanation": "\"speed downstream = ( 20 + 6 ) = 26 kmph time = 24 minutes = 12 / 60 hour = 1 / 5 hour distance travelled = time \u00d7 speed = 1 / 5 \u00d7 26 = 5.20 km answer is b .\"" + }, + { + "Answer": 8, + "Options": "a ) 5 days , b ) 8 days , c ) 10 days , d ) 12 days , e ) 14 days", + "Correct": "b", + "Explanation": "\"if a can complete a work in x days and b can complete the same work in y days , then , both of them together can complete the work in x y / x + y days . that is , the required no . of days = 10 \u00d7 40 / 50 = 8 days b )\"" + }, + { + "Answer": 6, + "Options": "a ) 5 hour , b ) 11 / 2 hour , c ) 6 hour , d ) 13 / 2 hour , e ) 8 hour", + "Correct": "c", + "Explanation": "let b will finish a work in x hour . then , in x hour a , 80 / 100 = 4 / 5 work do ratio of work done by a and b = inverse ratio of time taken 4 / 5 : 1 = 2 / 15 : 1 / x 4 / 5 * 1 / x = 1 * 2 / 15 = 4 / 5 x = 2 / 15 ; x = 6 . time = 6 hour answer c" + }, + { + "Answer": 4.444444444444445, + "Options": "a ) 20 / 9 , b ) 40 / 9 , c ) 50 / 9 , d ) 60 / 9 , e ) 80 / 9", + "Correct": "b", + "Explanation": "\"one day work of a = 1 / 8 one day work of b = 1 / 10 so one day work of a and b together = 1 / 8 + 1 / 10 = 9 / 40 so total days required = 40 / 9 answer : b\"" + }, + { + "Answer": 1759.9999999999998, + "Options": "a ) 1277 m , b ) 1760 m , c ) 1278 m , d ) 1288 m , e ) 1378 v", + "Correct": "b", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 1250 resolutions . = 1250 * 2 * 22 / 7 * 22.4 = 176000 cm = 1760 m answer : b\"" + }, + { + "Answer": 400, + "Options": "a ) 583 km , b ) 400 km , c ) 670 km , d ) 360 km , e ) 234 km", + "Correct": "b", + "Explanation": "let the distance travelled be x km . total time = ( x / 2 ) / 25 + ( x / 2 ) / 40 = 10 = > x / 50 + x / 80 = 10 = > ( 8 x + 5 x ) / 400 = 10 = > x = 400 km answer : b" + }, + { + "Answer": 195, + "Options": "a ) 126 , b ) 136 , c ) 146 , d ) 156 , e ) 195", + "Correct": "e", + "Explanation": "\"reciprocal of the hcf and lcm of two are 1 / 15 and 1 / 312 so , hcf = 15 , lcm = 312 lcm * hcf = product of two numbers = a * b = > b = lcm * hcf / a so , other = 15 * 312 / 24 = 195 answer : e\"" + }, + { + "Answer": 0.30000000000000004, + "Options": "a ) 8 / 17 , b ) 7 / 15 , c ) 3 / 10 , d ) 8 / 15 , e ) 1 / 4", + "Correct": "c", + "Explanation": "\"person ( a ) ( b ) ( a + b ) time - ( 15 ) ( 20 ) ( - ) rate - ( 20 ) ( 15 ) ( 35 ) work - ( 300 ) ( 300 ) ( 300 ) therefore a + b requires ( 300 / 35 ) days to complete entire work for 1 st 4 days they work 35 * 6 = 210 remaining work is 300 - 210 = 90 remaining fraction of work is = 90 / 300 = 3 / 10 answer c\"" + }, + { + "Answer": 2, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "b", + "Explanation": "\"the combined rate is 1 / 4 + 1 / 12 + 1 / 6 = 1 / 2 of the job per hour . the time to complete the job is 2 / 1 = 2 hours . the answer is b .\"" + }, + { + "Answer": 15, + "Options": "a ) 16 min , b ) 26 min , c ) 34 min , d ) 20 min , e ) 15 min", + "Correct": "e", + "Explanation": "\"speed ratio = 1 : 3 / 5 = 5 : 3 time ratio = 3 : 5 1 - - - - - - - - 5 3 - - - - - - - - - ? \u00e8 15 answer : e\"" + }, + { + "Answer": 54, + "Options": "a ) 30 , b ) 54 , c ) 60 , d ) 70 , e ) 90", + "Correct": "b", + "Explanation": "\"total vehicle = 3 / 4 of speedster + 1 / 4 of others . speedster convertibles = 3 / 4 total vehicle * 3 / 5 given : 1 / 4 constitutes 30 vehicles . hence 3 / 4 constitutes 90 speedster convertibls = 90 * 3 / 5 = 54 b\"" + }, + { + "Answer": 2.916666666666667, + "Options": "a ) 2.66 , b ) 2.78 , c ) 2.8 , d ) 2.87 , e ) 2.92", + "Correct": "e", + "Explanation": "\"let x be the distance to big rock . time = x / 5 + x / 7 = 1 x = 35 / 12 = 2.92 the answer is e .\"" + }, + { + "Answer": 18, + "Options": "a ) 12 , b ) 15 , c ) 17 , d ) e = 18 , e ) 20", + "Correct": "d", + "Explanation": "\"since we are concerned with integers between 1 and 20 , write down the primes till 40 . 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 ( you should be very comfortable with the first few primes . . . ) 2 , 3 , 5 , 7 , 11,12 , 13 , 17 , 19 , 23 , 29 , 31 , 37 - three pairs ( 11,13 ) , ( 7,17 ) , ( 5 , 19 ) 2 , 3 , 5 , 7 , 11 , 13 , 15,17 , 19 , 23 , 29 , 31 , 37 - three pairs ( 13 , 17 ) , ( 11 , 19 ) , ( 7 , 23 ) 2 , 3 , 5 , 7 , 11 , 13,17 , 19 , 23 , 29 , 31 , 37 - three pairs ( 11 , 23 ) , ( 5 , 29 ) , ( 3 , 31 ) 2 , 3 , 5 , 7 , 11 , 13 , 17 , 18,19 , 23 , 29 , 31 , 37 - four pairs ( 17 , 19 ) , ( 13 , 23 ) , ( 7 , 29 ) , ( 5 , 31 ) 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 20,23 , 29 , 31 , 37 - definitely can not be more than 4 since there are only 4 primes more than 20 . so must be less than 4 pairs . ignore . answer ( d ) .\"" + }, + { + "Answer": 455, + "Options": "a ) 125 miles , b ) 225 miles , c ) 455 miles , d ) 425 miles , e ) 525 miles", + "Correct": "c", + "Explanation": "\"during each hour , the car travels 65 miles . for 7 hours it will travel 65 + 65 + 65 + 65 + 65 + 65 + 65 = 7 \u00d7 65 = 455 miles correct answer is c ) 455 miles\"" + }, + { + "Answer": 195.3125, + "Options": "a ) 488 , b ) 204 , c ) 195 , d ) 178 , e ) 133", + "Correct": "c", + "Explanation": "let the required time be x seconds . more metres , more time ( direct proportion ) 0.128 : 25 : : 1 : x 0.128 x = 25 x 1 x = 25 / 0.128 = ( 25 x 1000 ) / 128 x = 195.31 . required time = 195 sec ( approximately ) . answer is c ." + }, + { + "Answer": 5, + "Options": "a ) 5 hours , b ) 3 hours , c ) 8 hours , d ) 6 hours , e ) 4 hours", + "Correct": "a", + "Explanation": "time = distance / speed time = 450 / 90 = 5 answer : a" + }, + { + "Answer": 64.00000000000001, + "Options": "a ) 64 % , b ) 80 % , c ) 100 % , d ) 120 % , e ) 125 %", + "Correct": "a", + "Explanation": "\"for a , r = 8 / 2 pi . its capacity = ( 4 pi ) ^ 2 * 8 = 128 pi for b , r = 10 / pi . its capacity = ( 5 pi ) ^ 2 * 8 = 200 pi a / b = 128 pi / 200 pi = 0.64 a\"" + }, + { + "Answer": 500, + "Options": "a ) 515 , b ) 500 , c ) 525 , d ) 530 , e ) 535", + "Correct": "b", + "Explanation": "\"1 inch = 2.54 cm 3.5 inch = 2.54 * 3.5 cm 8.89 cm = 35 miles 127 cms = 35 / 8.89 * 127 = 500 miles answer : b\"" + }, + { + "Answer": 14.998800095992321, + "Options": "a ) 16.5 , b ) 16.0 , c ) 15 , d ) 16.8 , e ) 16.1", + "Correct": "c", + "Explanation": "\"d = 110 + 140 = 250 m s = 60 * 5 / 18 = 50 / 3 t = 250 * 3 / 50 = 15 sec answer : c\"" + }, + { + "Answer": 15, + "Options": "a ) 25 sec , b ) 35 sec , c ) 15 sec , d ) 45 sec , e ) 20 sec", + "Correct": "c", + "Explanation": "time taken to cross a moving person = length of train / relative speed time taken = 300 / ( ( 80 - 16 ) ( 5 / 18 ) = 300 / 64 * ( 5 / 18 ) = 300 / 20 = 15 sec answer : c" + }, + { + "Answer": 5, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "e", + "Explanation": "m is 2 more than a multiple of 6 ; n is 3 more than a multiple of 6 . m - n will be 1 less than a multiple of 6 ( 5 , 11 , 17 , . . . ) , therefore m - n will yield a remainder of 5 when divided by 6 . answer : e ." + }, + { + "Answer": 20, + "Options": "a ) a ) 73 , b ) b ) 20 , c ) c ) 83 , d ) d ) 21 , e ) e ) 52", + "Correct": "b", + "Explanation": "\"explanation : 1 : 2 / 4 = 4 : 2 2 / 6 * 60 = 20 answer : option b\"" + }, + { + "Answer": 18, + "Options": "a ) 6 days , b ) 18 days , c ) 21 days , d ) 3 days , e ) 13 days", + "Correct": "b", + "Explanation": "\"we have the important relation , more work , more time ( days ) a piece of work can be done in 6 days . three times of work of same type can be done in 6 x 3 = 18 days answer b\"" + }, + { + "Answer": 5, + "Options": "a ) 4 hours , b ) 5 hours , c ) 3 hours , d ) 2 hours , e ) 1 hour", + "Correct": "b", + "Explanation": "time taken for tank a to fill = 20 / 2 = 10 hours time taken for tank b to fill = 20 / 4 = 5 hours so tank a takes 5 more hours to fill answer : b" + }, + { + "Answer": 471.23889803846896, + "Options": "a ) 288 , b ) 132 , c ) 772 , d ) 592 , e ) 471.25", + "Correct": "e", + "Explanation": "\"2 * 22 / 7 * 15 = 94.25 94.25 * 5 = rs . 471.25 answer : e\"" + }, + { + "Answer": 26, + "Options": "a ) 10 , b ) 13 , c ) 14 , d ) 26 , e ) 16", + "Correct": "d", + "Explanation": "\"let the required number of days be x . less persons , more days ( indirect proportion ) more working hours per day , less days ( indirect proportion ) persons 15 : 39 : : 12 : x working hours / day 6 : 5 15 x 6 x x = 39 x 5 x 12 x = ( 39 x 5 x 12 ) / ( 15 x 6 ) x = 26 . answer : d\"" + }, + { + "Answer": 6480.000000000002, + "Options": "a ) 5729 , b ) 5760 , c ) 2889 , d ) 6480 , e ) 2799", + "Correct": "d", + "Explanation": "\"1 / x - 1 / 6 = - 1 / 8 x = 24 hrs 24 * 60 * 4.5 = 6480 . answer : d\"" + }, + { + "Answer": 40, + "Options": "a ) 18 , b ) 24 , c ) 30 , d ) 36 , e ) 40", + "Correct": "e", + "Explanation": "\"speed = 54 km / hr = > 54,000 m / hr in one minute = > 54000 / 60 = 900 meters in one sec = > 900 / 60 = 15 meters time = total distance need to be covered / avg . speed = > 600 / 15 = 40 and hence the answer : e\"" + }, + { + "Answer": 27, + "Options": "a ) 28 days , b ) 20 days , c ) 23 days , d ) 25 days , e ) 27 days", + "Correct": "e", + "Explanation": "\"amit \u2019 s one day \u2019 s work = 1 / 15 amit \u2019 s 3 day \u2019 s work = 1 / 15 * 3 = 1 / 5 work left = 1 - 1 / 5 = 4 / 5 ananthu \u2019 s one day \u2019 s work = 1 / 30 ananthu can do work in = 4 / 5 * 30 = 24 days so total days = 24 + 3 = 27 days answer : e\"" + }, + { + "Answer": 30.002399999999998, + "Options": "a ) 30 mps , b ) 76 mps , c ) 26 mps , d ) 97 mps , e ) 16 mps", + "Correct": "a", + "Explanation": "\"108 * 5 / 18 = 30 mps answer : a\"" + }, + { + "Answer": 88, + "Options": "a ) rs . 80 , b ) rs . 85 , c ) rs . 88 , d ) rs . 100 , e ) none of these", + "Correct": "c", + "Explanation": "sp of 1 m of cloth = 4500 / 45 = rs . 100 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 100 - rs . 12 = rs . 88 . answer : c" + }, + { + "Answer": 27, + "Options": "a ) 42 , b ) 27 , c ) 28 , d ) 20 , e ) 24", + "Correct": "b", + "Explanation": "\"explanation : distance covered = 120 + 120 = 240 m time = 16 s let the speed of each train = v . then relative speed = v + v = 2 v 2 v = distance / time = 240 / 16 = 15 m / s speed of each train = v = 15 / 2 = 7.5 m / s = 7.5 \u00d7 36 / 10 km / hr = 27 km / hr answer : option b\"" + }, + { + "Answer": 3211000, + "Options": "a ) 4211000 , b ) 1211000 , c ) 5211000 , d ) 2211000 , e ) 3211000", + "Correct": "e", + "Explanation": "e 3211000" + }, + { + "Answer": 2.49980001599872, + "Options": "a ) 2.5 sec , b ) 2.8 sec , c ) 8.5 sec , d ) 2.2 sec , e ) 4.5 sec", + "Correct": "a", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 100 / 40 = 2.5 sec . answer : a\"" + }, + { + "Answer": 29.508196721311478, + "Options": "a ) 25.0 seconds , b ) 29.5 seconds , c ) 30.0 seconds , d ) 30.5 seconds , e ) 30.7 seconds", + "Correct": "b", + "Explanation": "by guess it is clear that the time taken will be less than 30 seconds and very near to it . therefore , answer 29.5 seconds will be correct . answer - b" + }, + { + "Answer": 0.75, + "Options": "a ) 0.75 day , b ) 2 days , c ) 1.2 days , d ) 4 days , e ) 5 days", + "Correct": "a", + "Explanation": "\"the length of cloth painted by one man in one day = 48 / 4 \u00d7 2 = 6 m no . of days required to paint 36 m cloth by 6 men = 36 / 6 \u00d7 8 = 0.75 day . a\"" + }, + { + "Answer": 36, + "Options": "a ) 36 , b ) 48 , c ) 60 , d ) 62 , e ) 66", + "Correct": "a", + "Explanation": "let v be her normal speed and let t be her normal time . d = ( 3 / 4 ) v * ( t + 12 ) since the distance is the same we can equate this to a regular day which is d = v * t v * t = ( 3 / 4 ) v * ( t + 12 ) t / 4 = 9 t = 36 the answer is a ." + }, + { + "Answer": 20, + "Options": "a ) 10 , b ) 12 , c ) 30 , d ) 40 , e ) 20", + "Correct": "e", + "Explanation": "dist = ( 100 / 45 * 9 ) = 20 m answer e" + }, + { + "Answer": 75, + "Options": "['a ) 54', 'b ) 64', 'c ) 75', 'd ) 85', 'e ) 100']", + "Correct": "c", + "Explanation": "no of 3 s b / w 1 - 99 is 20,100 - 199 is 20 and so on . so leavn d range b / w 300 - 399 total no of 3 s is ( 9 * 20 = ) 180 . no of 3 s b / w 300 - 399 is ( 20 + 100 = ) 120 . total no of 3 s b / w 1 - 1000 = 120 + 180 = 300 in base 10 300 = 3 * 5 ^ 2 = 75 . answer : c" + }, + { + "Answer": 36, + "Options": "a ) 36 , b ) 2 ^ 4 * 3 , c ) 24 , d ) 38 , e ) 47", + "Correct": "a", + "Explanation": "\"working backward from the day it ' s covered : day 37 : fully covered day 36 : half covered so 36 days answer : a\"" + }, + { + "Answer": 23760, + "Options": "a ) 23760 , b ) 47520 , c ) 33000 , d ) 48600 , e ) 54000", + "Correct": "a", + "Explanation": "\"whatever : my take selecting team of 2 out of 12 to assign to the shifts = 12 c 2 = 66 ways . now 2 out of 12 means total of 6 group possible . so putting them in shifts = counting methode : first , second , third , alt , alt = 6 * 5 * 4 * 3 * 2 * 1 = 720 here alt and alt are the same : so 720 / 2 = 360 ways . total ways of selecting = ( selecting 2 out of 12 ) * arranging those teams in shifts = 66 * 360 = 23760 ans : a\"" + }, + { + "Answer": 60, + "Options": "a ) 45 , b ) 50 , c ) 53 , d ) 55 , e ) 60", + "Correct": "e", + "Explanation": "let car a = car that starts at 9 am car b = car that starts at 9 : 10 am time for which car a travels at speed of 30 m per hour = 1.5 hours distance travelled by car a = 30 * 1.5 = 45 miles since car b catches up car a at 10 : 30 , time = 80 mins = 4 / 3 hour speed of car b = 45 / ( 4 / 3 ) = 60 miles per hour answer e" + }, + { + "Answer": 1.2, + "Options": "a ) 2 hours , b ) 1.2 hours , c ) 3 hours , d ) 1.5 hours , e ) 2.5 hours", + "Correct": "b", + "Explanation": "\"explanation : part filled by ( p + q + r ) in 1 hour = ( 1 / 2 + 1 / 4 + 1 / 12 ) = 5 / 6 all the three pipes together will fill the tank = 6 / 5 = 1.2 hours answer b\"" + }, + { + "Answer": 12, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", + "Correct": "b", + "Explanation": "26 trees have 25 gaps between them , required distance ( 300 / 25 ) = 12 b" + }, + { + "Answer": 10.666666666666666, + "Options": "a ) 10.66 seconds , b ) 25 seconds , c ) 29 seconds , d ) 21 seconds , e ) 6.25 seconds", + "Correct": "a", + "Explanation": "\"their difference is 6 second but this difference is 0 if john allows sam to start the race from 36 m ahead . that means jhon was 36 m away from finishing line when they started together . so he will cover 36 m in 6 seconds . so his speed = 36 / 6 = 6 metre / second . so time taken = 100 / 6 = 16.66 seconds . so sam took = 10.66 seconds . correct answer = a\"" + }, + { + "Answer": 75, + "Options": "a ) 135 , b ) 105 , c ) 95 , d ) 75 , e ) 45", + "Correct": "d", + "Explanation": "debanshu normally drives to work in 45 minutes at an average speed of 40 miles per hour . use formula d = rt car : t 1 : 45 min r 1 : 40 mph d 1 : [ ( 40 * 45 ) / 60 ] = 30 miles bike : t 1 : ? r 2 : 12 - 16 mph d 2 : 08 * d 1 = 24 miles t 1 : [ ( 24 * 60 ) / 12 ] = 120 min ( only 12 mph speed yields an answer given in the choices ) therefore , deb has to leave 120 min - 45 min = 75 min early answer : d" + }, + { + "Answer": 22, + "Options": "a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 28", + "Correct": "b", + "Explanation": "\"the height : length ratio will be equal in both cases . 18 / 45 = x / 55 x = 22 the answer is b .\"" + }, + { + "Answer": 120.00000000000001, + "Options": "a ) rs . 360 , b ) rs . 120 , c ) rs . 240 , d ) rs . 300 , e ) none", + "Correct": "b", + "Explanation": "solution : in one day x can finish 1 / 15 th of the work . in one day y can finish 1 / 10 th of the work . let us say that in one day z can finish 1 / zth of the work . when all the three work together in one day they can finish 1 / 15 + 1 / 10 + 1 / z = 1 / 5 th of the work . therefore , 1 / z = 1 / 30 . ratio of their efficiencies = 1 / 15 : 1 / 10 : 1 / 30 = 2 : 3 : 1 . therefore z receives 1 / 6 th of the total money . according to their efficiencies money is divided as 240 : 360 : 120 . hence , the share of z = rs . 120 . answer b" + }, + { + "Answer": 3.428571428571429, + "Options": "a ) 2 , b ) 4 / 5 , c ) 7 / 9 , d ) 10 , e ) 24 / 7", + "Correct": "e", + "Explanation": "\"a + b + c 1 day work = 1 / 24 + 1 / 6 + 1 / 12 = 7 / 24 a , b , c together will complete the job in 24 / 7 days answer is e\"" + }, + { + "Answer": 1250, + "Options": "a ) 2267 , b ) 1162 , c ) 2276 , d ) 1250 , e ) 1262", + "Correct": "d", + "Explanation": "\"explanation : speed = ( 5 x 5 / 18 ) m / sec = 25 / 18 m / sec . distance covered in 15 minutes = ( 25 / 18 x 15 x 60 ) m = 1250 m . answer : d\"" + }, + { + "Answer": 850.068, + "Options": "a ) 400 meters , b ) 1111 meters , c ) 160 meters , d ) 850 meters , e ) none of these", + "Correct": "d", + "Explanation": "train overtakes a bike means that we are talking about total length of the train . ( train ' s head is close to bike when it started and its tail crosses the bike when it overtakes the bike ) relative speed = 100 - 64 = 36 km / h = 36000 m / h time = 85 seconds distance = speed * time 36000 * 85 / 3600 = 850 meters . d is the answer ." + }, + { + "Answer": 242, + "Options": "a ) 242 , b ) 312 , c ) 424 , d ) 525 , e ) 622", + "Correct": "a", + "Explanation": "total questions solved = questions solved in 3 rd hr + in 2 nd hr + in 1 st hr 132 + 132 / 2 + 132 / 3 = 242 a is the answer" + }, + { + "Answer": 1008, + "Options": "a ) 80 , b ) 63 , c ) 120 , d ) 1008 , e ) 1260", + "Correct": "d", + "Explanation": "\"parallelogram can formed by 2 horizontal and 2 vertical lines for horizontal 9 c 2 for vertical 8 c 2 total parallelogram is 9 c 2 * 8 c 2 = 36 * 28 = 1008 answer : d\"" + }, + { + "Answer": 439.82399999999996, + "Options": "a ) 4.4 m , b ) 220 m , c ) 440 m , d ) 560 , e ) 650", + "Correct": "c", + "Explanation": "diameter ( d ) = 0.7 m circumference of the wheel , = 2 * pi * r = d * pi = 0.7 * 3.14 = 2.198 m . in one revolution , wheel will covered = 2.198 m , so , in 200 revolution , it will cover = 200 * 2.198 = 4.396 m = 440 m ( approx ) . answer : option c" + }, + { + "Answer": 10, + "Options": "a ) 76 hrs , b ) 99 hrs , c ) 55 hrs , d ) 90 hrs , e ) 10 hrs", + "Correct": "e", + "Explanation": "\"1 / 5 - 1 / x = 1 / 10 = > 10 hrs answer : e\"" + }, + { + "Answer": 24, + "Options": "a ) a ) 12 , b ) b ) 18 , c ) c ) 24 , d ) d ) 30 , e ) e ) 36", + "Correct": "c", + "Explanation": "\"explanation : t = 24 / 60 * 60 = 24 answer : option c\"" + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 38 , c ) 60 , d ) 88 , e ) 72", + "Correct": "a", + "Explanation": "\"explanation : let the required no of hours be x . then less men , more hours ( indirect proportion ) \\ inline \\ fn _ jvn \\ therefore 15 : 36 : : 5 : x \\ inline \\ fn _ jvn \\ leftrightarrow ( 15 x x ) = ( 36 x 5 ) \\ inline \\ fn _ jvn \\ leftrightarrow \\ inline \\ fn _ jvn x = \\ frac { 36 \\ times 5 } { 15 } = 12 hence , 15 men can do it in 12 hours . answer : a ) 12\"" + }, + { + "Answer": 20, + "Options": "a ) 16 , b ) 18 , c ) 20 , d ) 24 , e ) 30", + "Correct": "c", + "Explanation": "\"distance between maxwell ' s and brad ' s home = 50 km maxwell ' s speed = 4 km / h brad ' s speed = 6 km / h relative speed of approach = 10 km / h time = 50 / 10 = 5 hours distance traveled by maxwell when they meet in the middle = 4 * 5 = 20 km answer c\"" + }, + { + "Answer": 8, + "Options": "a ) 7 , b ) 6 , c ) 5 , d ) 8 , e ) 9", + "Correct": "d", + "Explanation": "\"let the total units of work be 48 . units of work completed by a and b in one day = 6 . units of work completed by b and c in one day = 4 units of work completed by a , b , and c in one day = 8 . from the above information we get the work completed by a and c in one day is 6 units . therefore , the number of days taken by a and c to complete the whole work = 48 / 6 = 8 days . answer : d\"" + }, + { + "Answer": 35, + "Options": "a ) 20 min , b ) 25 min , c ) 30 min , d ) 35 min , e ) 40 min", + "Correct": "d", + "Explanation": "\"required time = 35 * 2 * 1 / 2 = 20 minutes answer is d\"" + }, + { + "Answer": 4.7368421052631575, + "Options": "a ) 3.75 days , b ) 4.73 days , c ) 5.75 days , d ) 6.75 days , e ) 7.73 days", + "Correct": "b", + "Explanation": "\"1 / 9 + 1 / 10 = 19 / 90 90 / 19 = 4.73 days answer : b\"" + }, + { + "Answer": 6.623470122390208, + "Options": "a ) 4.85 , b ) 7.85 , c ) 6.85 , d ) 5.85 , e ) 6.62", + "Correct": "e", + "Explanation": "\"t = ( 111 + 165 ) / ( 60 + 90 ) * 18 / 5 t = 6.62 answer : e\"" + }, + { + "Answer": 9.099272058235341, + "Options": "a ) 18 seconds , b ) 8.4 seconds , c ) 5 seconds , d ) 9.1 seconds , e ) 9.5 econds", + "Correct": "d", + "Explanation": "\"speed of the boat downstream = 9.5 + 8.5 = 18 kmph = 18 * 5 / 18 = 5 m / s hence time taken to cover 45.5 m = 45.5 / 5 = 9.1 seconds . answer : d\"" + }, + { + "Answer": 6.499480041596672, + "Options": "a ) 8 sec , b ) 7 sec , c ) 2 sec , d ) 6.5 sec , e ) 9 sec", + "Correct": "d", + "Explanation": "\"t = 65 / 36 * 18 / 5 = 6.5 sec answer : d\"" + }, + { + "Answer": 3.6136363636363638, + "Options": "a ) 2 , b ) 5 , c ) 4 , d ) 3.61 , e ) 4.3", + "Correct": "d", + "Explanation": "speed = 9 miles / hr = 4.4 yard / s = 29.33 yards / min distance = 106 yards time = distance / speed = 106 / 29.33 = 3.61 minutes ans - d" + }, + { + "Answer": 6600, + "Options": "a ) 4200 , b ) 5400 , c ) 6600 , d ) 7800 , e ) 8900", + "Correct": "c", + "Explanation": "\"the distance the sound traveled to the man is 20 * 330 = 6600 meters the answer is c .\"" + }, + { + "Answer": 2, + "Options": "a ) 2 hr , b ) 1 hr , c ) 3 hr , d ) 1.5 hr , e ) 2.5 hr", + "Correct": "a", + "Explanation": "let the original speed be s and time be t if new speed = s \u00e3 \u2014 3 / 4 , then new time would be t \u00e3 \u2014 4 / 3 ( d = st = constant ) . given , 3 t / 4 \u00e2 \u02c6 \u2019 t = 20 t / 3 \u00e2 \u2021 \u2019 t = 60 minutes = 1 hour answer : a" + }, + { + "Answer": 12, + "Options": "a ) 12 hr , b ) 11 hr , c ) 13 hr , d ) 14 hr , e ) 16 hr", + "Correct": "a", + "Explanation": "work done by the leak in 1 hour = 1 / 6 - 1 / 12 = 1 / 12 leak will empty the tank in 12 hours answer is a" + }, + { + "Answer": 19.118487538913932, + "Options": "['a ) 19', 'b ) 750', 'c ) 24', 'd ) 120', 'e ) none of these']", + "Correct": "a", + "Explanation": "circumference of circular bed = 31 cm area of circular bed = ( 31 ) 2 \u00e2 \u0081 \u201e 4 \u00ef \u20ac space for each plant = 4 cm 2 \u00e2 \u02c6 \u00b4 required number of plants = ( 31 ) 2 \u00e2 \u0081 \u201e 4 \u00ef \u20ac \u00e3 \u00b7 4 = 19.11 = 19 ( approx ) answer a" + }, + { + "Answer": 83.33333333333334, + "Options": "a ) 83.33 , b ) 882 , c ) 772 , d ) 252 , e ) 121", + "Correct": "a", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 5 = 83.33 meter . answer : a\"" + }, + { + "Answer": 70, + "Options": "a ) 1 , b ) 3.5 , c ) 20 , d ) 49 , e ) 70", + "Correct": "e", + "Explanation": "\"explanation : let the required number days be x . less honey bees , more days ( indirect proportion ) less honey , less days ( direct proportion ) honey bees 1 : 70 : : 70 : x honey 70 : 1 = > 1 x 70 x x = 70 x 1 x 70 = > x = 70 . answer : e\"" + }, + { + "Answer": 48, + "Options": "a ) 76 km / hr , b ) 66 km / hr , c ) 48 km / hr , d ) 67 km / hr , e ) 22 km / hr", + "Correct": "c", + "Explanation": "let the speed of the slower train be x m / sec . then , speed of the train = 2 x m / sec . relative speed = ( x + 2 x ) = 3 x m / sec . ( 100 + 100 ) / 10 = 3 x = > x = 20 / 3 . so , speed of the faster train = 40 / 3 = 40 / 3 * 18 / 5 = 48 km / hr . answer : c" + }, + { + "Answer": 2, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "b", + "Explanation": "the distance traveled by ferry p is 16 km . then the distance traveled by ferry q is 48 km . ferry q travels at a speed of 12 kph . the time of the journey for ferry q is 48 / 12 = 4 hours , which is 2 hours more than ferry p . the answer is b ." + }, + { + "Answer": 36, + "Options": "a ) 50 kmph , b ) 60 kmph , c ) 65 kmph , d ) 36 kmph , e ) none", + "Correct": "d", + "Explanation": "\"time = 6 distence = 324 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 324 / 9 = 36 kmph d )\"" + }, + { + "Answer": 88.00333333333333, + "Options": "a ) 53.33 mph , b ) 88 mph , c ) 60 mph , d ) 64 mph , e ) 66.67 mph", + "Correct": "b", + "Explanation": "average speed = total distance / total time = ( 40 * 5 + 80 * 3 ) / ( 5 + 3 ) = 440 / 5 = 88 answer : b" + }, + { + "Answer": 80, + "Options": "['a ) 75 %', 'b ) 80 %', 'c ) 100 %', 'd ) 120 %', 'e ) 125 %']", + "Correct": "b", + "Explanation": "b . for c , r = 8 / 2 pi . its capacity = ( 4 pi ) ^ 2 * 10 = 160 pi for b , r = 10 / pi . its capacity = ( 5 pi ) ^ 2 * 8 = 200 pi c / b = 160 pi / 200 pi = 0.8" + }, + { + "Answer": 14, + "Options": "a ) 14 , b ) 15 , c ) 16 , d ) 17 , e ) 18", + "Correct": "a", + "Explanation": "\"39 / 3 = 13 the three numbers are 12 , 13 , and 14 . the answer is a .\"" + }, + { + "Answer": 33.42035224833366, + "Options": "a ) 32.7 , b ) 32.4 , c ) 33.4 , d ) 32.8 , e ) 32.1", + "Correct": "c", + "Explanation": "\"36 / 7 r = 6.5 = 33.4 answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 35 kmh , b ) 40 kmh , c ) 50 kmh , d ) 60 kmh , e ) 65 kmh", + "Correct": "b", + "Explanation": "\"time = distance / speed difference in time = 1 / 2 hrs 60 / x - 60 / ( x + 20 ) = 1 / 2 substitute the value of x from the options . - - > x = 40 - - > 60 / 40 - 60 / 60 = 3 / 2 - 1 = 1 / 2 answer : b\"" + }, + { + "Answer": 245, + "Options": "a ) 225 , b ) 235 , c ) 215 , d ) 255 , e ) 245", + "Correct": "e", + "Explanation": "egular working hours in 4 weeks = ( 4 \u00d7 6 \u00d7 10 ) = 240 hours amount earned by working in these regular working hours = 240 \u00d7 2.10 = rs . 504 additional amount he earned = 525 - 504 = rs . 21 hours he worked overtime = 21 / 4.2 = 210 / 42 = 5 hours total hours he worked = 240 + 5 = 245 hours answer is e ." + }, + { + "Answer": 650, + "Options": "a ) 800 , b ) 820 , c ) 650 , d ) 870 , e ) 900", + "Correct": "c", + "Explanation": "\"the total number of stations = 26 from 26 stations we have to choose any two stations and the direction of travel ( ernakulam to chennai is different from chennai to ernakulam ) in 26 p 2 ways . 26 p 2 = 26 * 25 = 650 answer : c\"" + }, + { + "Answer": 18, + "Options": "a ) 18 , b ) 12 , c ) 20 , d ) 30 , e ) 15", + "Correct": "a", + "Explanation": "\"x ' s 1 day ' s work = 1 / 30 y ' s 1 day ' s work = 1 / 45 ( x + y ) ' s 1 day ' s work = ( 1 / 30 + 1 / 45 ) = 1 / 18 both together will finish the work in 18 days . correct option is a\"" + }, + { + "Answer": 4, + "Options": "a ) 4 kmph , b ) 6 kmph , c ) 6.25 kmph , d ) 7.5 kmph , e ) 7.8 kmph", + "Correct": "a", + "Explanation": "\"let abhay ' s speed be x km / hr . then , 24 / x - 24 / 2 x = 3 6 x = 24 x = 4 km / hr . answer : option a\"" + }, + { + "Answer": 15, + "Options": "a ) 7 , b ) 6 , c ) 15 , d ) 4 , e ) 3", + "Correct": "c", + "Explanation": "work done by 15 workers in 35 days = 15 * 35 = 525 men days . now , work remaining = 600 \u2013 525 = 75 men days and we have 5 workers . so 5 workers will work for 75 / 5 = 15 days . answer : c" + }, + { + "Answer": 56.800000000000004, + "Options": "a ) 77 kmph , b ) 55 kmph , c ) 57 kmph , d ) 58 kmph , e ) 76 kmph", + "Correct": "c", + "Explanation": "\"s = 284 / 18 * 18 / 5 = 57 kmph answer : c\"" + }, + { + "Answer": 12, + "Options": "a ) 16 min , b ) 26 min , c ) 34 min , d ) 20 min , e ) 12 min", + "Correct": "e", + "Explanation": "speed ratio = 1 : 4 / 5 = 5 : 4 time ratio = 4 : 51 - - - - - - - - 3 4 - - - - - - - - - ? \u00e8 12 answer : e" + }, + { + "Answer": 7, + "Options": "a ) 7 km , b ) 3 km , c ) 4 km , d ) 5 km , e ) 6 km", + "Correct": "a", + "Explanation": "\"distance = 10 * 42 / 60 = 7 km answer is a\"" + }, + { + "Answer": 14, + "Options": "a ) 10 , b ) 16 , c ) 13 , d ) 14 , e ) 19", + "Correct": "d", + "Explanation": "\"let the required number of days be x . less persons , more days ( indirect proportion ) more working hours per day , less days ( indirect proportion ) persons 30 : 42 : : 12 : x working hours / day 6 : 5 30 x 6 x x = 42 x 5 x 12 x = ( 42 x 5 x 12 ) / ( 30 x 6 ) x = 14 answer d\"" + }, + { + "Answer": 32, + "Options": "a ) 10 , b ) 8 , c ) 32 , d ) 14 , e ) 16", + "Correct": "c", + "Explanation": "\"26 trees have 25 gaps between them . length of each gap = 800 / 25 = 32 i . e . , distance between two consecutive trees = 32 answer is c .\"" + }, + { + "Answer": 88, + "Options": "a ) 80 , b ) 82 , c ) 84 , d ) 86 , e ) 88", + "Correct": "e", + "Explanation": "\"in 1 day , they are at right angles 44 times . in 2 days , they are at right angles 88 times . answer : option e\"" + }, + { + "Answer": 53, + "Options": "a ) 53 , b ) 44 , c ) 58 , d ) 60 , e ) 62", + "Correct": "a", + "Explanation": "\"first day - 18 miles with 3 miles per hours then total - 6 hours for that day second day - 4 miles per hour and 5 hours - 20 miles third day - 5 miles per hour and 3 hours - 15 miles total 18 + 20 + 15 = 53 answer : option a .\"" + }, + { + "Answer": 0.41666666666666663, + "Options": "a ) 2 / 15 , b ) 8 / 15 , c ) 3 / 11 , d ) 5 / 12 , e ) 6 / 13", + "Correct": "d", + "Explanation": "\"a ' s 1 day work = 1 / 15 b ' s 1 day work = 1 / 20 a + b 1 day work = 1 / 15 + 1 / 20 = 7 / 60 a + b 5 days work = 7 / 60 * 5 = 7 / 12 remaining work = 1 - 7 / 12 = 5 / 12 answer is d\"" + }, + { + "Answer": 330, + "Options": "a ) 330 , b ) 300 , c ) 270 , d ) 250 , e ) 350", + "Correct": "a", + "Explanation": "\"the other number = l . c . m * h . c . f / given number = 2310 * 30 / 210 = 330 answer is a .\"" + }, + { + "Answer": 0.65, + "Options": "a ) 2 / 15 , b ) 8 / 15 , c ) 13 / 20 , d ) 1 / 12 , e ) 6 / 13", + "Correct": "c", + "Explanation": "a ' s 1 day work = 1 / 15 b ' s 1 day work = 1 / 20 a + b 1 day work = 1 / 15 + 1 / 20 = 7 / 60 a + b 3 days work = 7 / 60 * 3 = 7 / 20 remaining work = 1 - 7 / 20 = 13 / 20 answer is c" + }, + { + "Answer": 22, + "Options": "a ) 20 m , b ) 25 m , c ) 22 m , d ) 9 m , e ) 12 m", + "Correct": "c", + "Explanation": "\"distance covered by b in 9 sec . = 110 / 45 x 9 m = 22 m . a beats b by 20 metres . answer : option c\"" + }, + { + "Answer": 18, + "Options": "a ) 18 , b ) 12 , c ) 14 , d ) 16 , e ) 17", + "Correct": "a", + "Explanation": "\"11 trees have 10 gaps between them , required distance ( 180 / 10 ) = 18 a\"" + }, + { + "Answer": 71.9822971502571, + "Options": "a ) 32.8 , b ) 32.4 , c ) 72 , d ) 32.2 , e ) 32.9", + "Correct": "c", + "Explanation": "\"diameter = 28 cm 1 / 2 * 22 / 7 * 28 + 28 = 72 answer : c\"" + }, + { + "Answer": 10, + "Options": "a ) 10 days , b ) 11 days , c ) 9 days , d ) 8 days , e ) 12 days", + "Correct": "a", + "Explanation": "\"that is , 1 work done = 15 \u00d7 8 \u00d7 10 then , 12 8 \u00d7 10 = ? \u00d7 15 \u00d7 8 ? ( i . e . no . of men required ) = 15 \u00d7 8 \u00d7 10 / 15 \u00d7 8 = 10 days a )\"" + }, + { + "Answer": 1140, + "Options": "a ) 1140 toys , b ) 2375 toys , c ) 3375 toys , d ) 4375 toys , e ) 5375 toys", + "Correct": "a", + "Explanation": "\"to find the number of toys produced every day , we divide the total number of toys produced in one week ( of 4 days ) by 4 . 4560 / 4 = 1140 toys correct answer a\"" + }, + { + "Answer": 8, + "Options": "a ) 4 cm , b ) 6 cm , c ) 8 cm , d ) 10 cm , e ) 12 cm", + "Correct": "c", + "Explanation": "\"volume of cylinder = pi * r ^ 2 * h volume of a sphere = 4 * pi * r ^ 3 / 3 9 * 4 * pi * r ^ 3 / 3 = pi * r ^ 2 * h r ^ 3 = r ^ 2 * h / 12 = 64 cm ^ 3 r = 4 cm d = 8 cm the answer is c .\"" + }, + { + "Answer": 10, + "Options": "a ) 10 , b ) 20 , c ) 25 , d ) 35 , e ) 15", + "Correct": "a", + "Explanation": "\"100 - - - 10 ds = 25 ? - - - - 1 75 - - - - 15 us = 5 ? - - - - - 1 s = ( 25 - 5 ) / 2 = 10 kmph . answer : a\"" + }, + { + "Answer": 31, + "Options": "a ) 35 , b ) 15 , c ) 29 , d ) 31 , e ) 29", + "Correct": "d", + "Explanation": "explanation : if he travels 10 m for the first stone he has to travel that dist back as well . . . so he travels 2 * 10 m dist for the first stone and so on . = > 2400 = 2 * ( 10 + 20 + 30 . . . . 10 n ) using formula for ap = > 2400 = 2 * n / 2 * ( 2 * 10 + ( n - 1 ) * 10 ) . = > 2400 = 10 n 2 + 10 n . on solving this , we get n = 15 as the positive root , so total numer of stones on both sides = 30 . and including the one which he was at = 31 . answer : d" + }, + { + "Answer": 22, + "Options": "a ) 21 , b ) 22 , c ) 17 , d ) 26 , e ) 25", + "Correct": "b", + "Explanation": "b 22 the hands of a clock point in opposite directions ( in the same straight line ) 11 times in every 12 hours . ( because between 5 and 7 they point in opposite directions at 6 o ' clcok only ) . so , in a day , the hands point in the opposite directions 22 times ." + }, + { + "Answer": 75, + "Options": "a ) 135 , b ) 105 , c ) 95 , d ) 75 , e ) 45", + "Correct": "d", + "Explanation": "debony normally drives to work in 45 minutes at an average speed of 40 miles per hour . use formula d = rt car : t 1 : 45 min r 1 : 40 mph d 1 : [ ( 40 * 45 ) / 60 ] = 30 miles bike : t 1 : ? r 2 : 12 - 16 mph d 2 : 08 * d 1 = 24 miles t 1 : [ ( 24 * 60 ) / 12 ] = 120 min ( only 12 mph speed yields an answer given in the choices ) therefore , deb has to leave 120 min - 45 min = 75 min early answer : d" + }, + { + "Answer": 135, + "Options": "a ) 135 , b ) 277 , c ) 187 , d ) 257 , e ) 271", + "Correct": "a", + "Explanation": "\"relative speed = ( 54 - 36 ) * 5 / 18 = 5 mps . distance covered in 27 sec = 27 * 5 = 135 m . the length of the faster train = 135 m . answer : a\"" + }, + { + "Answer": 84, + "Options": "a ) 228 , b ) 108 , c ) 84 , d ) 188 , e ) 211", + "Correct": "c", + "Explanation": "\"s = 140 / 6 * 18 / 5 = 84 kmph answer : c\"" + }, + { + "Answer": 19, + "Options": "a ) 22.8 kg , b ) 25.6 kg , c ) 19 kg , d ) 26.5 kg , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : let the required weight be x kg . then , less length , less weight ( direct proportion ) = > 11.25 : 5 : : 42.75 : x = > 11.25 x x = 5 x 42.75 = > x = ( 5 x 42.75 ) / 11.25 = > x = 19 answer : c\"" + }, + { + "Answer": 9, + "Options": "a ) 9 days , b ) 10 days , c ) 11 days , d ) 12 days , e ) 18 days", + "Correct": "a", + "Explanation": "the number of days needed to finish 1 / 4 of the work = 1 / 4 * 12 / 8 * 24 = 9 days . answer : a" + }, + { + "Answer": 65, + "Options": "a ) 52 , b ) 65 , c ) 78 , d ) 91 , e ) 104", + "Correct": "b", + "Explanation": "\"fuel used 3.9 gallons ; convert to liters - - > 3.9 x 3.8 liters time = 5.7 hours 1 mile = 1.6 kilometers ; convert to miles - - > 1 km = 1 / 1.6 mile speed ( km / hour ) = d / t = 40 ( km * ) x 3.9 x 3.8 / 5.7 replace ( km * ) to miles ; multiply by 1 / 1.6 mile speed ( miles / hour ) = 40 x 3.9 x 3.8 / 5.7 x 1.6 = 78 miles / hour ans : c ps : i felt the factors were easy to cancel out , so did n ' t require much rounding off = 40 x 3.9 x 3.8 / 5.7 x 1.6 = 65 b\"" + }, + { + "Answer": 7, + "Options": "a ) 7 days , b ) 8 days , c ) 9 days , d ) 10 days , e ) 11 days", + "Correct": "a", + "Explanation": "we have that : 2 cats - - - - - 5 days , ( 2 + 3 ) c - - - - - x d , that is : ( x d / 2 c ) = ( 5 d / 5 p ) , then : x d = ( 5 d / 5 c ) 2 c = 2 d . is to say , the 5 cats hunt the same quantity in 2 days ; as it is only 1 / 2 of the work , all the mice would be hunt in : m = 5 d + 2 d = 7 days . answer a ." + }, + { + "Answer": 3, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "c", + "Explanation": "let the number of men be m and so the number of women = 15 - m out of 17 days , men and women work together on 1,4 , 7,10 , 13,16 th days ( total of 6 days ) from the start . men work on alternate days , that is 1 , 3,5 , 7,9 , 11,13 , 15,17 th days ( total of 9 days ) . let the total work be 360 units ( lcm of 180 and 120 ) . 1 man does 360 / 120 = 3 units per day 1 woman does 360 / 180 = 2 units per day based on above facts , total work by men + women in these 17 days = 360 units m * 9 * 3 + ( 15 - m ) * 6 * 2 = 360 , 27 m + 180 - 12 m = 360 , solving m = 12 . num of men = 12 and number of women = 15 - 12 = 3 answer : c" + }, + { + "Answer": 5.333333333333333, + "Options": "a ) 6 days , b ) 5.33 days , c ) 10 days , d ) 12 days , e ) 14 days", + "Correct": "b", + "Explanation": "if a can complete a work in x days and b can complete the same work in y days , then , both of them together can complete the work in x y / x + y days . that is , the required no . of days = 8 \u00d7 16 / 24 = 5.33 days answer : b" + }, + { + "Answer": 13.598912087033037, + "Options": "a ) 13.6 sec , b ) 12.1 sec , c ) 17.9 sec , d ) 16.8 sec , e ) 14.9 sec", + "Correct": "a", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec total distance covered = 140 + 132 = 272 m . required time = 272 / 20 = 13.6 sec . answer : a\"" + }, + { + "Answer": 680, + "Options": "a ) 680 rs , b ) 540 rs , c ) 480 rs , d ) 640 rs , e ) 280 rs", + "Correct": "a", + "Explanation": "area of theplot = 110 * 65 = 7150 sq m area of the plot excluding the path = ( 110 - 5 ) * ( 65 - 5 ) = 6300 sq m area of the path = 7150 - 6300 = 850 sq m cost of gravelling the path = 850 * 80 / 100 = 680 rs answer : a" + }, + { + "Answer": 100, + "Options": "a ) 30 miles . , b ) 35 miles . , c ) 45 miles . , d ) 90 miles . , e ) 100 miles .", + "Correct": "e", + "Explanation": "\"tim and elan will meet at the same time while their ratio of speed is 2 : 1 respectively . so their individual distance traveled ratio will be same . plugging in the answer choice only answer choice e meet the 2 : 1 ( tim : elan = 100 : 50 ) ratio of maintaining total distance traveled 150 miles socorrect answer e\"" + }, + { + "Answer": 9, + "Options": "a ) 7 days , b ) 14 days , c ) 6 days , d ) 8 days , e ) 9 days", + "Correct": "e", + "Explanation": "\"explanation : 16 boys = 24 girls , 1 boy = 24 / 16 girls 1 boy = 6 / 4 girls 8 boys + 4 girls = 8 \u00e3 \u2014 6 / 4 + 12 = 12 + 4 = 16 girls 9 days to complete the work answer : option e\"" + }, + { + "Answer": 213.62830044410595, + "Options": "a ) 215 , b ) 212 , c ) 278 , d ) 279 , e ) 222", + "Correct": "b", + "Explanation": "\"2 * 22 / 7 * 17 = 106 106 * 2 = rs . 212 answer : b\"" + }, + { + "Answer": 40, + "Options": "a ) 33 , b ) 37 , c ) 40 , d ) 38 , e ) 27", + "Correct": "c", + "Explanation": "\"let the distance be x km , the speed in which he moved = v kmph time taken when moving at normal speed - time taken when moving 3 kmph faster = 40 minutes \u21d2 xv \u2212 xv + 3 = 4060 \u21d2 x [ 1 v \u2212 1 v + 3 ] = 23 \u21d2 x [ v + 3 \u2212 vv ( v + 3 ) ] = 23 \u21d2 2 v ( v + 3 ) = 9 x . . . . . . . . . . . . . . . . ( equation 1 ) time taken when moving 2 kmph slower - time taken when moving at normal speed = 40 minutes \u21d2 xv \u2212 2 \u2212 xv = 4060 \u21d2 x [ 1 v \u2212 2 \u2212 1 v ] = 23 \u21d2 x [ v \u2212 v + 2 v ( v \u2212 2 ) ] = 23 \u21d2 x [ 2 v ( v \u2212 2 ) ] = 23 \u21d2 x [ 1 v ( v \u2212 2 ) ] = 13 \u21d2 v ( v \u2212 2 ) = 3 x . . . . . . . . . . . . . . . . ( equation 2 ) equation 1 equation 2 \u21d2 2 ( v + 3 ) ( v \u2212 2 ) = 3 \u21d2 2 v + 6 = 3 v \u2212 6 \u21d2 v = 12 substituting this value of v in equation 1 \u21d2 2 \u00d7 12 \u00d7 15 = 9 x = > x = 2 \u00d7 12 \u00d7 159 = 2 \u00d7 4 \u00d7 153 = 2 \u00d7 4 \u00d7 5 = 40 hence distance = 40 km answer : c\"" + }, + { + "Answer": 0.5333333333333333, + "Options": "a ) 2 / 3 , b ) 3 / 7 , c ) 8 / 15 , d ) 3 / 8 , e ) 4 / 7", + "Correct": "c", + "Explanation": "\"2 / 3 - - - - 10 ? - - - - - 8 = = > 8 / 15 c\"" + }, + { + "Answer": 22.997889276778874, + "Options": "a ) 18 , b ) 750 , c ) 23 , d ) 120 , e ) none of these", + "Correct": "c", + "Explanation": "\"circumference of circular bed = 34 cm area of circular bed = ( 34 ) 2 \u00e2 \u0081 \u201e 4 \u00ef \u20ac space for each plant = 4 cm 2 \u00e2 \u02c6 \u00b4 required number of plants = ( 34 ) 2 \u00e2 \u0081 \u201e 4 \u00ef \u20ac \u00e3 \u00b7 4 = 22.98 = 23 ( approx ) answer c\"" + }, + { + "Answer": 95.99999999999999, + "Options": "a ) 36 , b ) 96 , c ) 100 , d ) 76 , e ) 72", + "Correct": "b", + "Explanation": "\"total vehicle = 2 / 3 of speedster + 1 / 3 of others . speedster convertibles = 2 / 3 total vehicle * 4 / 5 given : 1 / 3 constitutes 60 vehicles . hence 2 / 3 constitutes 120 speedster convertibls = 120 * 4 / 5 = 96 b\"" + }, + { + "Answer": 20, + "Options": "a ) 20 , b ) 19 , c ) 18 , d ) 17 , e ) 16", + "Correct": "a", + "Explanation": "ans . 20 days" + }, + { + "Answer": 108, + "Options": "a ) 110 kmph , b ) 120 kmph , c ) 108 kmph , d ) 100 kmph , e ) 98 kmph", + "Correct": "c", + "Explanation": "\"in 10 s the train crosses the pole and in 30 sec the train crosses one more stationary train in 20 sec the train travels a distance of 600 mtrs speed = 600 / 20 = 30 m / s = 30 ( 3600 / 1000 ) = 30 * 18 / 5 = 108 kmph answer : c\"" + }, + { + "Answer": 6, + "Options": "a ) a ) 6 , b ) b ) 8 , c ) c ) 10 , d ) d ) 12 , e ) e ) 15", + "Correct": "a", + "Explanation": "gear l - - 20 rotations per 60 seconds - - 2 rotation per 6 seconds . gear r - - 40 rotations per 60 seconds - - 4 rotations per 6 seconds . first 6 seconds - - gear l makes 1 rotation . - - gear r makes 4 rotations - - net difference - - 2 rotations hence every 6 seconds the difference between the number of rotations of r and l gear is 2 units . required net difference should be 6 rotations = > 3 ( 6 seconds later ) = = > 18 seconds . answer : a" + }, + { + "Answer": 12.121212121212121, + "Options": "a ) 12.9 , b ) 12.5 , c ) 12.6 , d ) 12.2 , e ) 12.1", + "Correct": "e", + "Explanation": "\"1000 * 20 = 1650 * x x = 12.1 answer : e\"" + }, + { + "Answer": 5.000000000000001, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8", + "Correct": "b", + "Explanation": "\"2 / 4 + ( 2 + x ) / 14 = 1 = > x = 5 days answer : b\"" + }, + { + "Answer": 6.75, + "Options": "a ) 3.0 , b ) 5.0 , c ) 5.5 , d ) 6.5 , e ) 6.75", + "Correct": "e", + "Explanation": "\"construct an equation : 15 / 100 = x / 45 - > x = 6.75 answer : e .\"" + }, + { + "Answer": 7.5, + "Options": "a ) 22 , b ) 12 , c ) 7.5 , d ) 99 , e ) 21", + "Correct": "c", + "Explanation": "\"speed of the first train = 120 / 5 = 24 m / sec . speed of the second train = 120 / 15 = 8 m / sec . relative speed = 24 + 8 = 32 m / sec . required time = ( 120 + 120 ) / 32 = 7.5 sec . answer : c\"" + }, + { + "Answer": 90, + "Options": "a ) 15 , b ) 60 , c ) 75 , d ) 90 , e ) 105", + "Correct": "d", + "Explanation": "\"this type of questions should be solved without any complex calculations as these questions become imperative in gaining that extra 30 - 40 seconds for a difficult one . teena covers 55 miles in 60 mins . poe covers 40 miles in 60 mins so teena gains 15 miles every 60 mins teena need to cover 7.5 + 15 miles . teena can cover 7.5 miles in 30 mins teena will cover 15 miles in 60 mins so answer 30 + 60 = 90 mins = d\"" + }, + { + "Answer": 40, + "Options": "a ) 60 , b ) 50 , c ) 40 , d ) 70 , e ) 65", + "Correct": "c", + "Explanation": "\"time = 6 distance = 360 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 360 / 9 = 40 kmph answer c .\"" + }, + { + "Answer": 10.909090909090908, + "Options": "a ) 12.45 mph , b ) 11.25 mph , c ) 10.95 mph , d ) 10.91 mph , e ) 10.56 mph", + "Correct": "d", + "Explanation": "avg speed = total distance / total time = ( d 1 + d 2 ) / ( t 1 + t 2 ) = ( 10 + 10 ) / ( ( 10 / 12 ) + ( 10 / 10 ) = 120 / 11 = 10.91 mph d" + }, + { + "Answer": 9, + "Options": "a ) 11.25 , b ) 11.52 , c ) 1.25 , d ) 7.2 , e ) 9", + "Correct": "e", + "Explanation": "say the rate of the slower pipe is r pool / hour , then the rate of the faster pipe would be 1.25 r = 5 r / 4 . since when both pipes are opened , they fill the pool in five hours , then their combined rate is 1 / 5 pool / hour . thus we have that r + 5 r / 4 = 1 / 5 - - > r = 4 / 45 pool / hour , faster pipe fills at 1.25 r which is 5 / 4 * 4 / 45 = 1 / 9 - - > time is reciprocal of rate thus it ' s 9 / 1 = 9 hours . answer : e ." + }, + { + "Answer": 300, + "Options": "a ) 425 miles , b ) 625 miles , c ) 300 miles , d ) 225 miles , e ) 625 miles", + "Correct": "c", + "Explanation": "\"during each hour , the car travels 65 miles . for 5 hours it will travel 60 + 60 + 60 + 60 + 60 = 5 * 65 = 300 miles correct answer c\"" + }, + { + "Answer": 12, + "Options": "a ) 12 km , b ) 3 km , c ) 4 km , d ) 5 km , e ) 6 km", + "Correct": "a", + "Explanation": "\"distance = 10 * 72 / 60 = 12 km answer is a\"" + }, + { + "Answer": 50, + "Options": "a ) 62 m , b ) 54 m , c ) 50 m , d ) 55 m , e ) 56 m", + "Correct": "c", + "Explanation": "explanation : let x is the length of the train in meter and v is its speed in kmph x / 9 = ( v - 2 ) ( 10 / 36 ) - - - ( 1 ) x / 10 = ( v - 4 ) ( 10 / 36 ) - - - ( 2 ) dividing equation 1 with equation 2 10 / 9 = ( v - 2 ) / ( v - 4 ) = > 10 v - 40 = 9 v - 18 = > v = 22 substituting in equation 1 , x / 9 = 200 / 36 = > x = 9 \u00d7 200 / 36 = 50 m answer : option c" + }, + { + "Answer": 40.00000000000001, + "Options": "a ) 40 , b ) 72 , c ) 84 , d ) 90 , e ) 108", + "Correct": "a", + "Explanation": "\"a is the answer . . . . d = ts where d = distance , t = time and s = speed to travel half distance , ( 2 + 2 t ) = 8 t = = > t = 1 / 3 = = > 20 minutes to travel double distance , 2 ( 2 + 2 t ) = 8 t = = > 1 = = > 60 minutes difference , 40 minutes a\"" + }, + { + "Answer": 54.285714285714285, + "Options": "a ) 63.07 kmph , b ) 54.28 kmph , c ) 62.02 kmph , d ) 64.02 kmph , e ) none of these", + "Correct": "b", + "Explanation": "first car travels 1 hrs at speed of 40 kmph distance = 40 x 1 = 40 m then car travels 30 min at a speed of 60 kmph distance = 30 min at speed of 60 kmph distance = 60 x 1 / 2 = 30 m at last it travels 2 hours at speed of 60 kmph distance = 60 x 2 = 120 m total distance = 40 + 30 + 120 = 190 total time = 1 + 1 / 2 + 2 = 3.50 average speed of the car = 190 / 3.25 = 54.28 answer : b" + }, + { + "Answer": 15, + "Options": "a ) 12 min , b ) 20 min , c ) 25 min , d ) 30 min , e ) 15 min", + "Correct": "e", + "Explanation": "\"due to stoppages , it covers 20 km less . time taken to cover 20 km = ( 20 / 80 x 60 ) min = 15 min answer : e\"" + }, + { + "Answer": 9, + "Options": "a ) 10 , b ) 15 , c ) 17 , d ) 5 , e ) 9", + "Correct": "e", + "Explanation": "\"total work = 12 * 18 = 216 units . after 6 days , work finished = 6 * 12 = 72 units . remaining units = 216 - 72 = 144 units . remaining days = 144 / ( 2 + 4 ) = 9 days the option is e\"" + }, + { + "Answer": 70, + "Options": "a ) 45 , b ) 25 , c ) 37 , d ) 41 , e ) 70", + "Correct": "e", + "Explanation": "\"work done by mahesh in 35 days = 20 * 1 / 35 = 4 / 7 remaining work = 1 - 4 / 7 = 3 / 7 3 / 7 work is done by rajesh in 30 days whole work will be done by rajesh is 30 * 7 / 3 = 70 days answer is e\"" + }, + { + "Answer": 60, + "Options": "a ) 50 miles , b ) 60 miles , c ) 72 miles , d ) 22 miles , e ) 62 miles", + "Correct": "b", + "Explanation": "\"during each hour , the car travels 65 miles . for 5 hours it will travel 12 + 12 + 12 + 12 + 12 = 5 * 12 = 60 miles correct answer b\"" + }, + { + "Answer": 26.666666666666668, + "Options": "a ) 26.7 days , b ) 77 days , c ) 20 days , d ) 88 days , e ) 44 days", + "Correct": "a", + "Explanation": "\"16 * 25 = 15 * x = > x = 26.7 days answer : a\"" + }, + { + "Answer": 35, + "Options": "a ) 35 , b ) 40 , c ) 45 , d ) 50 , e ) 55", + "Correct": "a", + "Explanation": "\"the time is the distance / speed . the time difference is 1 hour . 280 / v - 280 / ( v + 5 ) = 1 280 ( v + 5 ) - 280 v = ( v ) ( v + 5 ) 1400 = ( v ) ( v + 5 ) 35 * 40 = ( v ) ( v + 5 ) v = 35 mph the answer is a .\"" + }, + { + "Answer": 90.99999999999999, + "Options": "a ) 52 , b ) 65 , c ) 78 , d ) 91 , e ) 104", + "Correct": "d", + "Explanation": "fuel used 3.9 gallons ; convert to liters - - > 3.9 x 3.8 liters time = 5.7 hours 1 mile = 1.6 kilometers ; convert to miles - - > 1 km = 1 / 1.6 mile speed ( km / hour ) = d / t = 56 ( km * ) x 3.9 x 3.8 / 5.7 replace ( km * ) to miles ; multiply by 1 / 1.6 mile speed ( miles / hour ) = 56 x 3.9 x 3.8 / 5.7 x 1.6 = 78 miles / hour ans : d ps : i felt the factors were easy to cancel out , so did n ' t require much rounding off = 56 x 3.9 x 3.8 / 5.7 x 1.6 = 91 d" + }, + { + "Answer": 33.62, + "Options": "a ) 23.89 , b ) 72.9 , c ) 33.62 , d ) 78.3 , e ) 79.3", + "Correct": "c", + "Explanation": "\"explanation : let the initial quantity of milk in vessel be t litres . let us say y litres of the mixture is taken out and replaced by water for n times , alternatively . quantity of milk finally in the vessel is then given by [ ( t - y ) / t ] ^ n * t for the given problem , t = 50 , y = 9 and n = 2 . hence , quantity of milk finally in the vessel = [ ( 50 - 9 ) / 50 ] ^ 2 ( 50 ) = 33.62 litres . answer : option c\"" + }, + { + "Answer": 675, + "Options": "a ) 542 , b ) 540 , c ) 675 , d ) 829 , e ) 279", + "Correct": "c", + "Explanation": "1 / 12 + 1 / 20 - 1 / x = 1 / 15 x = 15 15 * 45 = 675 answer : c" + }, + { + "Answer": 17.995574287564274, + "Options": "a ) 32.8 , b ) 32.4 , c ) 32.1 , d ) 18 , e ) 32.9", + "Correct": "d", + "Explanation": "\"diameter = 7 cm 1 / 2 * 22 / 7 * 7 + 7 = 18 answer : d\"" + }, + { + "Answer": 7.199999999999999, + "Options": "a ) 4.1 , b ) 4.5 , c ) 4.8 , d ) 5.4 , e ) 7.2", + "Correct": "e", + "Explanation": "\"speed = 1440 / ( 12 x 60 ) m / sec = 2 m / sec . converting m / sec to km / hr = 2 x ( 18 / 5 ) km / hr = 7.2 km / hr . answer : e\"" + }, + { + "Answer": 20, + "Options": "a ) 18 hours , b ) 22 hours , c ) 25 hours , d ) 26 hours , e ) 20 hours", + "Correct": "e", + "Explanation": "\"let the persons be a , b , c . hours worked : a = 2 * 90 / 9 = 20 hours b = 3 * 90 / 9 = 30 hours c = 4 * 90 / 9 = 40 hours c is the hardest worker and a worked for the least number of hours . so the difference is 40 - 20 = 20 hours . answer : e\"" + }, + { + "Answer": 24, + "Options": "a ) 14 , b ) 16 , c ) 21 , d ) 24 , e ) 27", + "Correct": "d", + "Explanation": "\"i treat such problems as work ones . work = rate * time mileage ( m ) = rate ( mpg ) * gallons ( g ) x gallons is a full tank { 462 = rx { 336 = ( r - 9 ) x solve for r , r = 33 33 - 9 = 24 mpg d\"" + }, + { + "Answer": 24, + "Options": "a ) 15 , b ) 18 , c ) 21 , d ) 24 , e ) 27", + "Correct": "d", + "Explanation": "\"let k and t be the speeds of karen and tom respectively . t be the time that karen will travel - - - - > t + 4 / 60 will be the total time tom will travel by the time the distance between karen and tom is 4 miles . thus , per the question , k ( t ) - t ( t + 4 / 60 ) = 4 - - - > t = 7 / 15 hours thus the distance traveled by tom when karen is 4 miles ahead of him : t * ( t + 4 / 60 ) = 45 ( 7 / 15 + 4 / 60 ) q = 24 miles . d is the correct answer .\"" + }, + { + "Answer": 4, + "Options": "['a ) 8', 'b ) 2', 'c ) 6', 'd ) 4', 'e ) 3']", + "Correct": "d", + "Explanation": "2 ( l + b ) = x ; 2 ( l + y + b + y ) = x + 16 ; 2 ( l + b ) + 4 y = x + 16 ; x + 4 y = x + 16 ; y = 4 answer : d" + }, + { + "Answer": 20.626649999999998, + "Options": "a ) 19.6 , b ) 20.6 , c ) 21.6 , d ) 22.6 , e ) 23.6", + "Correct": "b", + "Explanation": "distance ( given ) 1000 m paul speed ( let ) = x m / s time ( paul take ) = 1000 / x sec jack speed = x + 1.5 * ( 5 / 18 ) m / s tym ( jack ) = 1000 / ( x + 7.5 / 18 ) s tym ( paul ) - tym ( jack ) = 1.5 solving for x we get 20.20 speed of jack is 20.20 + 7.5 / 18 = 20.61 answer : b" + }, + { + "Answer": 6, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 2", + "Correct": "a", + "Explanation": "explanation : let x be speed of stream speed of boat downstream = ( 20 + x ) speed of boat upstream = ( 20 \u2013 x ) it is given that boat takes same time to travel 26 km downstream and 14 km upstream [ 26 / ( 20 + x ) ] = [ 14 / ( 20 \u2013 x ) ] 520 \u2013 26 x = 280 + 14 x 40 x = 240 x = 6 km / hr answer : a" + }, + { + "Answer": 139.65, + "Options": "a ) 145 cm , b ) 140 cm , c ) 142 cm , d ) 138 cm , e ) 135 cm", + "Correct": "b", + "Explanation": "\"let the previous year ' s height be x . 1.05 x = 147 x = 140 the answer is b .\"" + }, + { + "Answer": 1.8, + "Options": "a ) 6.80 days , b ) 4.80 days , c ) 3.80 days , d ) 2 days , e ) 1.80 days", + "Correct": "e", + "Explanation": "\"the length of wall painted by one boy in one day = 20 / 2 * 1 / 3 = 3.33 m no . of days required to paint 50 m cloth by 8 boys = 30 / 5 * 1 / 3.33 = 1.80 days . e\"" + }, + { + "Answer": 7.5, + "Options": "a ) 2.6 , b ) 5.8 , c ) 6.2 , d ) 7.5 , e ) 1.2", + "Correct": "d", + "Explanation": "\"( 18 \u00e3 \u2014 15 \u00e3 \u2014 2 ) / ( 6 \u00e3 \u2014 4 \u00e3 \u2014 3 ) = 7.5 answer is d .\"" + }, + { + "Answer": 27.997760179185665, + "Options": "a ) 26 , b ) 72 , c ) 28 , d ) 82 , e ) 27", + "Correct": "c", + "Explanation": "\"explanation : d = 100 + 180 = 280 s = 36 * 5 / 18 = 10 mps t = 280 / 10 = 28 sec answer : option c\"" + }, + { + "Answer": 12000, + "Options": "a ) 9000 cubic meters , b ) 10500 cubic meters , c ) 11750 cubic meters , d ) 12000 cubic meters , e ) 12500 cubic meters", + "Correct": "d", + "Explanation": "\"d . 12000 cubic meters . if both hte valves fill the pool in 48 minutes and valve 1 only fills in 120 minutes then valve 2 alone will fill the pool in ( 48 * 120 ) / ( 120 - 48 ) = 80 minutes . now , if valve 1 admits x cubic meter of water per minute then the capacity of pool will be 120 x and also 80 ( x + 50 ) . or , 120 x = 80 ( x + 50 ) . or x = 100 . hence , the capacity of pool = 120 x = 12000 cubic meters .\"" + }, + { + "Answer": 74.9940004799616, + "Options": "a ) 70 sec , b ) 60 sec , c ) 82 sec , d ) 75 sec , e ) 62 sec", + "Correct": "d", + "Explanation": "d = 1400 + 100 = 1500 m s = 72 * 5 / 18 = 20 t = 1500 * 1 / 20 = 75 sec answer : d" + }, + { + "Answer": 48, + "Options": "a ) 48 , b ) 60 , c ) 72 , d ) 84 , e ) 96", + "Correct": "a", + "Explanation": "\"let v be the speed of the person and let x be the speed of the walkway . 30 ( v + x ) = 60 then 120 ( v + x ) = 240 120 ( v - x ) = 60 when we add the two equations : 240 v = 300 v = 5 / 4 time = 60 / ( 5 / 4 ) = 48 seconds the answer is a .\"" + }, + { + "Answer": 9.75, + "Options": "['a ) 7.50', 'b ) 8.75', 'c ) 7.75', 'd ) 9.50', 'e ) 9.75']", + "Correct": "e", + "Explanation": "we are given that a glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution . since we are dealing with a solution , we know that the grams of glucose is proportional to the number of cubic centimeters of solution . thus , to determine how many grams of glucose would be in the container when we have 45 cubic centimeters of solution , we can set up a proportion . we can say : \u201c 15 grams of glucose is to 100 cubic centimeters of solution as x grams of glucose is to 65 cubic centimeters of solution . \u201d let \u2019 s now set up the proportion and solve for x . 15 / 100 = x / 65 when we cross multiply we obtain : ( 15 ) ( 65 ) = 100 x 975 = 100 x 9.75 = x there are 9.75 grams of glucose in the solution in the container . the answer is e ." + }, + { + "Answer": 8.839999999999998, + "Options": "a ) 6.24 km , b ) 6 km , c ) 8.84 km , d ) 5.66 km , e ) 10 km", + "Correct": "c", + "Explanation": "\"m = 9 s = 1.2 ds = 10.2 us = 7.8 x / 10.2 + x / 7.8 = 1 x = 4.42 d = 4.42 * 2 = 8.84 answer : c\"" + }, + { + "Answer": 26.99784017278618, + "Options": "a ) 10.6 , b ) 27 , c ) 10.4 , d ) 10.8 , e ) 10.1", + "Correct": "b", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 300 + 450 = 750 m . required time = 700 * 9 / 250 = 27 sec . answer : b\"" + }, + { + "Answer": 42, + "Options": "a ) 65 mtr . , b ) 52 mtr , c ) 70 mtr . , d ) 78 mtr . , e ) 42 mtr .", + "Correct": "e", + "Explanation": "\"20 men is 6 days can build 112 metres 15 men in 3 days can build = 112 * ( 15 / 20 ) x ( 3 / 6 ) = 42 meters answer : e .\"" + }, + { + "Answer": 2.3076923076923075, + "Options": "a ) 2.31 days , b ) 4.31 days , c ) 5.31 days , d ) 6.31 days , e ) 7.31 days", + "Correct": "a", + "Explanation": "1 / 3 + 1 / 10 = 13 / 30 30 / 13 = 2.31 days answer : a" + }, + { + "Answer": 47.99999999999999, + "Options": "a ) 49.5 kmph , b ) 49.0 kmph , c ) 48.5 kmph , d ) 48.0 kmph , e ) none of these", + "Correct": "d", + "Explanation": "let the distance be 2 x ( one way ) time taken by bus = 2 x / 80 , by walking = x / 8 , by cycling = x / 60 hours : . average speed = total distance / total time = 8 x / x / 40 + x / 8 + x / 60 = 8 * 60 / 1.5 + 7.5 + 1 = 12.0 answer : d" + }, + { + "Answer": 180, + "Options": "a ) 100 kg , b ) 120 kg , c ) 89 kg , d ) 180 kg , e ) 110 kg", + "Correct": "d", + "Explanation": "\"volume of water displaced = ( 6 x 3 x 0.01 ) m 3 = 0.18 m 3 . mass of man = volume of water displaced x density of water = ( 0.18 x 1000 ) kg = 180 kg . answer : d\"" + }, + { + "Answer": 19.3, + "Options": "a ) 19.39 , b ) 19.3 , c ) 19.32 , d ) 19.33 , e ) 19.36", + "Correct": "b", + "Explanation": "by the time p starts j is 1.5 hr x 6 = 9 km away from his house . j is 3 km behind when p is 3 km ahead of him . ie . , p has to cover 12 km . so he takes 12 / ( 8 - 6 ) = 6 hrs after 13.30 . so the required time is 19.30 hrs answer : b" + }, + { + "Answer": 47.99616030717543, + "Options": "a ) 30 , b ) 50 , c ) 66 , d ) 44 , e ) 48", + "Correct": "e", + "Explanation": "\"speed of train relative to man = 65 - 5 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 800 * 3 / 50 = 48 sec . answer : e\"" + }, + { + "Answer": 10.5, + "Options": "a ) 12 days , b ) 15 days , c ) 21 / 2 days , d ) 21 days , e ) 22 days", + "Correct": "c", + "Explanation": "\"explanation : a and b can do work 1 / 6 in 1 day a alone can do 1 / 14 work in 1 day b alone can do ( 1 / 6 - 1 / 14 ) = 2 / 21 work in 1 day = > complete work can be done in 21 / 2 days by b answer : option c\"" + }, + { + "Answer": 253.43999999999997, + "Options": "a ) 724 m , b ) 704 m , c ) 287 m , d ) 278 m , e ) 253.4 m", + "Correct": "e", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 180 resolutions . = 180 * 2 * 22 / 7 * 22.4 = 25344 cm = 253.4 m answer : e\"" + }, + { + "Answer": 35.93333333333333, + "Options": "a ) 86.6 km , b ) 46.6 km , c ) 35.9 km , d ) 35.6 km , e ) 26.6 km", + "Correct": "c", + "Explanation": "\"speed downstream = ( 42 + 7 ) = 49 kmph time = 44 minutes = 44 / 60 hour = 11 / 15 hour distance travelled = time \u00d7 speed = 11 / 15 \u00d7 49 = 35.9 km answer : c\"" + }, + { + "Answer": 62, + "Options": "a ) 52 m , b ) 62 m , c ) 72 m , d ) 82 m , e ) 92 m", + "Correct": "b", + "Explanation": "\"let breadth = x metres . then , length = ( x + 24 ) metres . perimeter = 5300 m = 200 m . 26.50 2 [ ( x + 24 ) + x ] = 200 2 x + 24 = 100 2 x = 76 x = 38 . hence , length = x + 24 = 62 m b\"" + }, + { + "Answer": 38, + "Options": "a ) 33 , b ) 38 , c ) 70 , d ) 123 , e ) 12", + "Correct": "b", + "Explanation": "let the four consecutive even numbers be 2 ( x - 2 ) , 2 ( x - 1 ) , 2 x , 2 ( x + 1 ) their sum = 8 x - 4 = 140 = > x = 18 smallest number is : 2 ( x + 1 ) = 38 . answer : b" + }, + { + "Answer": 27.22891707538399, + "Options": "a ) 27 , b ) 28 , c ) 19 , d ) 11 , e ) 12", + "Correct": "a", + "Explanation": "\"36 / 7 r = 140 = > r = 27 answer : a\"" + }, + { + "Answer": 90, + "Options": "a ) 120 metres , b ) 180 metres , c ) 324 metres , d ) 90 metres , e ) 100 meters", + "Correct": "d", + "Explanation": "\"speed = 36 x 5 / 18 m / sec = 30 / 3 m / sec . length of the train = ( speed x time ) . length of the train = 30 / 3 x 9 m = 90 m . answer : d\"" + }, + { + "Answer": 15, + "Options": "a ) 12 , b ) 13 , c ) 14 , d ) 15 , e ) 16", + "Correct": "d", + "Explanation": "glen and hannah complete 260 km / 5 hours = 52 km / hour hannah ' s speed is 52 - 37 = 15 km / hour the answer is d ." + }, + { + "Answer": 42, + "Options": "a ) 50 kmph , b ) 60 kmph , c ) 70 kmph , d ) 42 kmph , e ) 90 kmph", + "Correct": "d", + "Explanation": "\"time = 6 distence = 378 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 378 / 9 = 42 kmph d\"" + }, + { + "Answer": 28, + "Options": "a ) 20 m , b ) 28 m , c ) 22.5 m , d ) 9 m , e ) 12 m", + "Correct": "b", + "Explanation": "\"distance covered by b in 9 sec . = 140 / 45 x 9 m = 28 m . a beats b by 28 metres . answer : option b\"" + }, + { + "Answer": 0.5, + "Options": "a ) 10.5 , b ) 0.5 , c ) 25.5 , d ) 30 , e ) 60", + "Correct": "b", + "Explanation": "\"the time it takes darcy to walk to work is ( 1.5 / 3 ) * 60 = 30 minutes the time it takes darcy to take the train is ( 1.5 / 20 ) * 60 + x = 4.5 + x minutes it takes 15 minutes longer to walk , so 30 = 4.5 + x + 25 x = 0.5 minutes answer : b\"" + }, + { + "Answer": 350, + "Options": "a ) 2378 , b ) 277 , c ) 208 , d ) 270 , e ) 350", + "Correct": "e", + "Explanation": "let the wage of a man is m and woman be w . 24 m + 16 w = 11600 12 m + 37 w = 11600 solving we get m = 350 answer : e" + }, + { + "Answer": 1781.2830345854127, + "Options": "['a ) 2998', 'b ) 2799', 'c ) 1782', 'd ) 1485', 'e ) 2780']", + "Correct": "c", + "Explanation": "22 / 7 * 14 * 3 / 2 * 3 / 2 = 99 m 2 99 * 18 = 1782 answer : c" + }, + { + "Answer": 2, + "Options": "a ) 2 : 1 , b ) 3 : 1 , c ) 5 : 2 , d ) 1 : 1 , e ) none of these", + "Correct": "a", + "Explanation": "explanation : let , the speeds of the two trains be s and 2 s m / s respectively . also , suppose that the lengths of the two trains are p and q metres respectively . then , = > ( p + q ) / ( 2 s \u2212 s ) = 60 . - - - - - - - - - - - - - - ( 1 ) and , = > p / ( 2 s \u2212 s ) = 40 . - - - - - - - - - - - - - - ( 2 ) on dividing ( 1 ) by ( 2 ) , we get : - = > ( p + q ) / p = 60 / 40 . the required ratio is p : q = 2 : 1 . answer : a" + }, + { + "Answer": 30, + "Options": "a ) 50 , b ) 45 , c ) 40 , d ) 35 , e ) 30", + "Correct": "e", + "Explanation": "\"the distance traveled by both of them is the same at the time of overtaking . 3 ( t + 12 ) = 5 t t = 18 . cristina will catch up nicky in 18 seconds . so in 18 seconds cristina would cover = 18 * 5 = 90 meter . now time taken my nicky to cover 90 meter = 90 / 3 = 30 seconds . e\"" + }, + { + "Answer": 18, + "Options": "a ) 4 , b ) 7 , c ) 10 , d ) 15 , e ) 18", + "Correct": "e", + "Explanation": "\"please follow posting guidelines , link is in my signatures . as for your question , x / 60 = blocks / time / block = block ^ 2 / time . this is not what you want . you are given x blocks and 60 seconds per block . thus you need to put it as 60 * x to give you units of seconds as you are equating this to 720 ( which is time in seconds . ) . thus the correct equation is : 60 * x - 20 * x = 7200 - - - - > 40 x = 720 - - > x = 18 . option e\"" + }, + { + "Answer": 140, + "Options": "a ) 132 \u00b0 f , b ) 140 \u00b0 f , c ) 148 \u00b0 f , d ) 156 \u00b0 f , e ) 164 \u00b0 f", + "Correct": "b", + "Explanation": "\"let f and c denote the temperature in fahrenheit and celsius respectively . ( f - 32 ) / ( 212 - 32 ) = ( c - 0 ) / ( 100 - 0 ) f = 9 c / 5 + 32 f = 9 ( 60 ) / 5 + 32 = 140 \u00b0 f the answer is b .\"" + }, + { + "Answer": 44.99736021118311, + "Options": "a ) 37 min , b ) 55 min , c ) 47 min , d ) 67 min , e ) 45 min", + "Correct": "e", + "Explanation": "\"e 45 min let the length of the train be x m . when a train crosses an electric pole , the distance covered is its own length . so , x = 12 * 36 * 5 / 18 m = 120 m . time taken to cross the platform = ( 120 + 330 ) / 36 * 5 / 18 = 45 min .\"" + }, + { + "Answer": 12.545454545454547, + "Options": "a ) 15 mile , b ) 14 mile , c ) 11 mile , d ) 10 mile , e ) 12.5 mile", + "Correct": "e", + "Explanation": "\"ss - stacy ' s speed = 6 m / hr sh - heather ' s speed = 5 m / hr in 24 minutes stacy will cover = ( 24 / 60 ) * 6 = 2.4 miles now since both are walking in opposite directions , add their speeds - 6 + 5 = 11 m / hr and distance to cover is 30 - 2.4 = 17.6 time taken = distance / speed = 27.6 / 11 = 2.5 hrs heather will cover = 5 * 2.5 = 12.5 miles . answer e\"" + }, + { + "Answer": 20, + "Options": "a ) 10 kmph , b ) 20 kmph , c ) 15 kmph , d ) 30 kmph , e ) 25 kmph", + "Correct": "b", + "Explanation": "\"time = 6 distance = 280 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 180 / 9 = 20 kmph b )\"" + }, + { + "Answer": 5, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 9", + "Correct": "b", + "Explanation": "\"explanation : let the required number of men be x . less days , more men ( indirect proportion ) more working hrs per day , less men ( indirect proportion ) days 8 : 10 working hrs 16 : 8 : : 12 : x = > 12 x 16 x x = 10 x 8 x 12 = > x = 10 x 8 x 12 / ( 12 x 16 ) = > x = 5 answer : b\"" + }, + { + "Answer": 29.999999999999993, + "Options": "a ) 50 hrs , b ) 30 hrs , c ) 70 hrs , d ) 80 hrs , e ) 90 hrs", + "Correct": "b", + "Explanation": "\"time taken to full the cistern = ( 1 / 10 - 1 / 15 ) hrs = 1 / 30 = 30 hrs answer : b\"" + }, + { + "Answer": 80, + "Options": "a ) 79 kmph , b ) 80 kmph , c ) 34 kmph , d ) 23 kmph , e ) 14 kmph", + "Correct": "b", + "Explanation": "\"s = ( 70 + 90 ) / 2 = 80 kmph answer : b\"" + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 16", + "Correct": "b", + "Explanation": "\"let the current speed be x miles per hour . time taken if speed is 50 % faster ( i . e . 3 x / 2 = 1.5 x ) = 96 / 1.5 x time taken if speed is reduced by 4 miles / hr ( i . e . ( x - 4 ) ) = 96 / ( x - 4 ) as per question , 96 / ( x - 4 ) - 96 / 1.5 x = 16 solving this z we get x = 8 . b .\"" + }, + { + "Answer": 275, + "Options": "a ) 200 m , b ) 225 m , c ) 245 m , d ) 250 m , e ) 275 m", + "Correct": "e", + "Explanation": "\"speed = [ 90 x 5 / 18 ] m / sec = [ 25 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 475 + x ) / 30 = 25 = > 475 + x = 750 = > x = 275 answer : e\"" + }, + { + "Answer": 200, + "Options": "a ) 287 , b ) 369 , c ) 125 , d ) 200 , e ) 361", + "Correct": "d", + "Explanation": "\"3 x * 2 x = 3750 = > x = 25 2 ( 75 + 50 ) = 250 m 250 * 0.80 = rs . 200 answer : d\"" + }, + { + "Answer": 588, + "Options": "a ) 588 , b ) 263 , c ) 120 , d ) 160 , e ) 1260", + "Correct": "a", + "Explanation": "\"parallelogram can formed by 2 horizontal and 2 vertical lines for horizontal 7 c 2 for vertical 8 c 2 total parallelogram is 7 c 2 * 8 c 2 = 21 * 28 = 588 answer : a\"" + }, + { + "Answer": 30, + "Options": "a ) 30 , b ) 25 , c ) 12 , d ) 10 , e ) 32", + "Correct": "a", + "Explanation": "\"( a ' s 1 day work ) : ( b ' s 1 day work ) = 2 : 1 a + b 1 day work = 1 / 20 a ' s 1 day work = ( 1 / 20 ) * ( 2 / 3 ) = 1 / 30 a alone can finish the work in 30 days answer is a\"" + }, + { + "Answer": 220, + "Options": "a ) 382 , b ) 782 , c ) 278 , d ) 270 , e ) 220", + "Correct": "e", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec . time = 26 sec . let the length of the train be x meters . then , ( x + 300 ) / 26 = 20 x = 220 m . answer : e\"" + }, + { + "Answer": 260, + "Options": "a ) 240 meters , b ) 260 meters , c ) 420 meters , d ) 600 meters , e ) can not be determined", + "Correct": "b", + "Explanation": "\"speed of train = 72 * ( 5 / 18 ) = 20 m / s lets consider the man as a stationery point on the platform . crossing the point gives us the length of the train . lt = 20 * 18 = 360 m . crossing the platform gives us the length of trainlength of platform . l ( t + p ) = 20 * 31 = 620 m . so , length of platform = 620 - 360 = 260 m imo , answer b\"" + }, + { + "Answer": 760, + "Options": "a ) 220 , b ) 760 , c ) 990 , d ) 880 , e ) 660", + "Correct": "b", + "Explanation": "\"760 - - - - 22 760 - - - - 20 x - - - - - 10 x * 10 = 760 * 20 x = 1520 760 - - - - - - - 760 answer : b\"" + }, + { + "Answer": 2.9997600191984644, + "Options": "a ) 5 , b ) 10 , c ) 3 , d ) 12 , e ) 6", + "Correct": "c", + "Explanation": "\"speed of the boat downstream = 15 + 3 = 18 kmph = 18 * 5 / 18 = 5 m / s hence time taken to cover 60 m = 15 / 5 = 3 seconds . answer : c\"" + }, + { + "Answer": 3, + "Options": "a ) 1.5 , b ) 2.0 , c ) 2.5 , d ) 3.0 , e ) 3.5", + "Correct": "d", + "Explanation": "p ' s rate is 1 / 4 q ' s rate is 1 / 12 the combined rate is 1 / 4 + 1 / 12 = 1 / 3 if they work together , the job will take 3 days . the answer is d ." + }, + { + "Answer": 34.2, + "Options": "a ) 22.8 kg , b ) 34.2 kg , c ) 28 kg , d ) 26.5 kg , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : let the required weight be x kg . then , less length , less weight ( direct proportion ) = > 11.25 : 9 : : 42.75 : x = > 11.25 x x = 9 x 42.75 = > x = ( 9 x 42.75 ) / 11.25 = > x = 34.2 answer : b\"" + }, + { + "Answer": 11.159107271418288, + "Options": "a ) 10.16 sec , b ) 18.8 sec , c ) 14.8 sec , d ) 10.8 sec , e ) 11.16 sec", + "Correct": "e", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 150 + 160 = 310 m . required time = 310 * 9 / 250 = 279 / 25 = 11.16 sec . answer : e\"" + }, + { + "Answer": 10.909090909090908, + "Options": "a ) 11 , b ) 10 , c ) 5 , d ) 9 , e ) 8", + "Correct": "a", + "Explanation": "\"speed of train relative to man = ( 60 + 6 ) km / hr = 66 km / hr [ 66 * 5 / 18 ] m / sec = [ 55 / 3 ] m / sec . time taken to pass the man = [ 200 * 3 / 55 ] sec = 11 sec answer : a\"" + }, + { + "Answer": 21.998240140788738, + "Options": "a ) 28 , b ) 266 , c ) 990 , d ) 20 , e ) 22", + "Correct": "e", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 160 + 280 = 440 m . the time required = d / s = 440 / 20 = 22 sec . answer : e\"" + }, + { + "Answer": 30, + "Options": "a ) 50 , b ) 30 , c ) 40 , d ) 60 , e ) 80", + "Correct": "b", + "Explanation": "raviraj starts from home at a , moves 20 km in south upto b . then he turns right and moves 10 km upto c , then he turns right and moves 20 km upto d , then he turns lefts and moves 20 km upto e . so from image it is clear that , if he moves straight then he will have to move ad + de , ad = bc = 10 km so , he will have to move 10 + 20 = 30 km answer b" + }, + { + "Answer": 50.99704023678106, + "Options": "a ) 45 , b ) 47 , c ) 49 , d ) 51 , e ) 53", + "Correct": "d", + "Explanation": "let the length of the train be x meters . when a train crosses an electric pole , the distance covered is its own length x . speed = 36 km / h = 36000 m / 3600 s = 10 m / s x = 14 * 10 = 140 m . the time taken to pass the platform = ( 140 + 370 ) / 10 = 51 seconds the answer is d ." + }, + { + "Answer": 36, + "Options": "a ) 26 seconds , b ) 36 seconds , c ) 46 seconds , d ) 56 seconds , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : speed = 50 km / hr = 50 * ( 5 / 18 ) m / sec = 125 / 9 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 / 125 / 9 = 36 seconds answer : b\"" + }, + { + "Answer": 15, + "Options": "a ) 15 , b ) 20 , c ) 88 , d ) 71 , e ) 11", + "Correct": "a", + "Explanation": "\"x - - - - - - - 10 ( x + 10 ) - - - - 6 x * 10 = ( x + 10 ) 6 x = 15 \\ answer : a\"" + }, + { + "Answer": 30, + "Options": "a ) 1 , b ) 40 , c ) 20 , d ) 26 , e ) 30", + "Correct": "e", + "Explanation": "\"explanation : one bag of husk = 30 cows per day \u21d2 30 \u00d7 1 \u00d7 30 = 1 \u00d7 30 \u00d7 x for one cow = 30 days answer : e\"" + }, + { + "Answer": 126, + "Options": "a ) 126 kmph , b ) 77 kmph , c ) 54 kmph , d ) 71 kmph , e ) 88 kmph", + "Correct": "a", + "Explanation": "\"s = 560 / 16 * 18 / 5 = 126 kmph answer : a\"" + }, + { + "Answer": 12, + "Options": "a ) 12 pm , b ) 22 pm , c ) 72 pm , d ) 92 pm , e ) 23 pm", + "Correct": "a", + "Explanation": "explanation : let ' t ' be the time after which they met since l starts . given k is 50 % faster than l 50 t + 1.5 * 50 ( t - 1 ) = 300 50 t + 75 t = 300 + 75 t = 375 / 125 = 3 hrs past the time that l starts so they meet at ( 9 + 3 ) hrs = 12 : 00 noon . answer : a" + }, + { + "Answer": 40, + "Options": "a ) 40 , b ) 39 , c ) 42 , d ) 55 , e ) 29", + "Correct": "a", + "Explanation": "a 40 minutes , or 11.20 am" + }, + { + "Answer": 24, + "Options": "a ) 87 , b ) 69 , c ) 40 , d ) 72 , e ) 24", + "Correct": "e", + "Explanation": "\"speed = 75 km / hr = 75 * ( 5 / 18 ) m / sec = 125 / 6 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 * ( 6 / 125 ) = 24 seconds answer : e\"" + }, + { + "Answer": 18, + "Options": "a ) 14 , b ) 18 , c ) 24 , d ) 28 , e ) none of these", + "Correct": "b", + "Explanation": "\"binders books days 15 1400 21 x 1600 20 x / 15 = ( 1600 / 1400 ) * ( 21 / 20 ) = > x = 18 answer : b\"" + }, + { + "Answer": 40, + "Options": "a ) 35 , b ) 40 , c ) 45 , d ) 50 , e ) 55", + "Correct": "b", + "Explanation": "\"the time is the distance / speed . the time difference is 1 hour . 360 / v - 360 / ( v + 5 ) = 1 360 ( v + 5 ) - 360 v = ( v ) ( v + 5 ) 1800 = ( v ) ( v + 5 ) 40 * 45 = ( v ) ( v + 5 ) v = 40 mph the answer is b .\"" + }, + { + "Answer": 20, + "Options": "a ) 10 min . , b ) 41 min . , c ) 17 min . , d ) 23 min . , e ) 20 min .", + "Correct": "e", + "Explanation": "the ratio is 2 : 3 = gym : ride , so ( 12 ) ( 3 / 2 ) = 18 minutes at the gym , and 18 + 12 = 30 minutes exercise , so ( 2 / 3 ) ( 30 ) = 20 minutes yoga . answer : e" + }, + { + "Answer": 50, + "Options": "a ) 150 meter , b ) 170 meter , c ) 156 meter , d ) 168 meter , e ) 50 meter", + "Correct": "e", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 3 = 50 meter answer : e\"" + }, + { + "Answer": 270, + "Options": "a ) 270 cm 2 , b ) 275 cm 2 , c ) 280 cm 2 , d ) 285 cm 2 , e ) 290 cm 2", + "Correct": "a", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 16 ) * ( 15 ) = 270 cm 2 answer : a\"" + }, + { + "Answer": 72.99376049916008, + "Options": "a ) 45 kmph , b ) 50 kmph , c ) 55 kmph , d ) 60 kmph , e ) 73 kmph", + "Correct": "e", + "Explanation": "\"explanation : let the speed of the train be x kmph . speed of the train relative to man = ( x + 5 ) kmph = ( x + 5 ) \u00d7 5 / 18 m / sec . therefore 130 / ( ( x + 5 ) \u00d7 5 / 18 ) = 6 < = > 30 ( x + 5 ) = 2340 < = > x = 73 speed of the train is 73 kmph . answer : option e\"" + }, + { + "Answer": 11.082951062292475, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 10 , e ) 11", + "Correct": "e", + "Explanation": "\"it ' s a simple geometry problem . look at the diagram below : answer : e .\"" + }, + { + "Answer": 27, + "Options": "a ) 15 seconds , b ) 18 seconds , c ) 25 seconds , d ) 27 seconds , e ) 45 seconds", + "Correct": "d", + "Explanation": "\"used pluging in method say t is the time for cristina to catch up with nicky , the equation will be as under : for nicky = n = 3 * t + 54 for cristina = c = 5 * t @ t = 27 , n = 135 c = 135 right answer ans : d\"" + }, + { + "Answer": 75, + "Options": "a ) 15 , b ) 20 , c ) 25 , d ) 65 , e ) 75", + "Correct": "e", + "Explanation": "susan can type 2 pages in 1 min mary can type 0.5 pages in 1 min so , both of them work together they type 2.5 pages in 1 min so , in 30 min they type ( 30 * 2.5 ) = 75 pages answer : e" + }, + { + "Answer": 21, + "Options": "a ) 15 , b ) 19 , c ) 14 , d ) 21 , e ) 16", + "Correct": "d", + "Explanation": "\"the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 63 / 3 = 21 kmph . answer : d\"" + }, + { + "Answer": 14, + "Options": "a ) 3 minutes , b ) 4 minutes , c ) 5 minutes , d ) 14 minutes , e ) 12 minutes", + "Correct": "d", + "Explanation": "\"rate = work / time given rate of machine a = x / 10 min machine b produces 2 x boxes in 5 min hence , machine b produces 4 x boxes in 10 min . rate of machine b = 4 x / 10 we need tofind the combined time that machines a and b , working simultaneouslytakeat their respective constant rates let ' s first find the combined rate of machine a and b rate of machine a = x / 10 min + rate of machine b = 4 x / 10 = 5 x / 10 now combine time = combine work needs to be done / combine rate = 7 x / 5 x * 10 = 14 min ans : d\"" + }, + { + "Answer": 75, + "Options": "a ) 65 meters , b ) 75 meters , c ) 85 meters , d ) 95 meters , e ) 55 meters", + "Correct": "b", + "Explanation": "relative speed = 18 k / hr = 5 m / sec distance covered = length of faster train = 5 * 15 = 75 meters answer : b" + }, + { + "Answer": 12, + "Options": "a ) 2 hours , b ) 12 hours , c ) 3 hours , d ) 5 hours , e ) 6 hours", + "Correct": "b", + "Explanation": "in three minute 1 / 20 + 1 / 30 - 1 / 15 = 1 / 60 part is filled 12 min - - - - - - - - 1 / 60 parts x min - - - - - - - - - 1 part ( full ) x = 720 min = 12 hours answer : b" + }, + { + "Answer": 20, + "Options": "a ) 20 , b ) 40 , c ) 50 , d ) 55 , e ) 70", + "Correct": "a", + "Explanation": "hibunuel the question seems incorrect . it should not be 80 % at the speed of 80 . however if it ' s 20 % at the speed of 80 , answer comes out 55 . the question is correct . here ' s the explanation : let distance be d . we can find the total timeequate it , which comes as : 0.8 d / 80 + 0.2 d / v = d / 50 = > v = 20 ( option a ) ." + }, + { + "Answer": 1250, + "Options": "a ) 1220 , b ) 1250 , c ) 1280 , d ) 1310 , e ) 1340", + "Correct": "b", + "Explanation": "\"total pay = 40 * $ 12.50 + $ 0.16 * x = 700 x = 200 / 0.16 = 1250 the answer is b .\"" + }, + { + "Answer": 59.994720422366214, + "Options": "a ) 54 kmph , b ) 60 kmph , c ) 66 kmph , d ) 72 kmph , e ) 82 kmph", + "Correct": "b", + "Explanation": "speed of train relative to man : 110 / 6 * 18 / 5 km / hr = 66 km / hr let speed of train = x therefore x + 6 = 66 x = 66 - 6 x = 60 km / hr answer : b" + }, + { + "Answer": 276.05555555555554, + "Options": "a ) 281 , b ) 277 , c ) 283 , d ) 384 , e ) 385", + "Correct": "b", + "Explanation": "\"the diff in sec between 1 : 57 : 58 and 3 : 20 : 47 is 4969 sec , 4969 / 18 = 276 . so total 277 times light ll glow answer : b\"" + }, + { + "Answer": 35, + "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 70 %", + "Correct": "d", + "Explanation": "answer : d 126 \u00b0 divided by 360 \u00b0 equals 0.35 , therefore the sector is equal to 35 % of the total" + }, + { + "Answer": 30, + "Options": "a ) 80 , b ) 30 , c ) 40 , d ) 70 , e ) 60", + "Correct": "b", + "Explanation": "\"b 30 sum = ( n x n ) + n hence , 5 x 5 = 25 + 5 = 30\"" + }, + { + "Answer": 83, + "Options": "a ) $ 83 , b ) $ 90 , c ) $ 92 , d ) $ 97 , e ) $ 104", + "Correct": "a", + "Explanation": "\"average daily wage of a worker for 15 consecutive working days = 90 $ during the first 7 days , the daily average daily wage = 87 $ during the last 7 days , the daily average daily wage = 94 $ wage on 8 th day = 90 * 15 - ( 87 * 7 + 94 * 7 ) = 1350 - ( 609 + 658 ) = 1350 - 1267 = 83 answer a\"" + }, + { + "Answer": 10.272727272727273, + "Options": "a ) 9.0 mile , b ) 13.0 mile , c ) 11.0 mile , d ) 10.2 mile , e ) 12 mile", + "Correct": "d", + "Explanation": "ss - stacy ' s speed = 6 m / hr sh - heather ' s speed = 5 m / hr in 24 minutes stacy will cover = ( 24 / 60 ) * 6 = 2.4 miles now since both are walking in opposite directions , add their speeds - 6 + 5 = 11 m / hr and distance to cover is 25 - 2.4 = 22.6 time taken = distance / speed = 22.6 / 11 = 2.05 hrs heather will cover = 5 * 2.4 = 10.2 miles . answer d" + }, + { + "Answer": 47.99999999999999, + "Options": "a ) 48 , b ) 58 , c ) 68 , d ) 78 , e ) 100", + "Correct": "a", + "Explanation": "solution : work done by three of them together in 1 day = 1 / 16 . . . . . . . . . . . . ( 1 ) work done by ganesh and ram together in 1 day = 1 / 24 . . . . . ( 2 ) so , work done by sohan in one day = ( 1 ) - ( 2 ) = ( 1 / 16 ) - ( 1 / 24 ) = 1 / 48 = > total days taken by sohan to complete the work alone = 48 days . answer a" + }, + { + "Answer": 77.993280537557, + "Options": "a ) 54 kmph , b ) 60 kmph , c ) 66 kmph , d ) 72 kmph , e ) 78 kmph", + "Correct": "e", + "Explanation": "\"speed of train relative to man : 140 / 6 * 18 / 5 km / hr = 84 km / hr let speed of train = x therefore x + 6 = 84 x = 84 - 6 x = 78 km / hr answer : e\"" + }, + { + "Answer": 16, + "Options": "a ) 15 kmph , b ) 11 kmph , c ) 16 kmph , d ) 18 kmph , e ) 12 kmph", + "Correct": "c", + "Explanation": "\"120 * 8 / 60 = 16 kmph answer : c\"" + }, + { + "Answer": 260.0416, + "Options": "a ) 260 m , b ) 270 m , c ) 643 m , d ) 832 m , e ) 270 m", + "Correct": "a", + "Explanation": "\"speed = ( 72 x 5 / 18 ) m / sec = 20 m / sec . time = 26 sec . let the length of the train be x metres . then , x + 260 / 26 = 20 x + 260 = 520 x = 260 . answer : a\"" + }, + { + "Answer": 48, + "Options": "a ) 18 , b ) 27 , c ) 98 , d ) 27 , e ) 48", + "Correct": "e", + "Explanation": "\"let the pipe b be closed after x minutes . 30 / 10 - x / 24 = 1 = > x / 24 = 30 / 10 - 1 = 2 = > x = 2 * 24 = 48 . answer : e\"" + }, + { + "Answer": 10, + "Options": "a ) 10 , b ) 15 , c ) 8 , d ) 12 , e ) 20", + "Correct": "a", + "Explanation": "\"required number of machines = 20 * 5 / 10 = 10 answer is a\"" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", + "Correct": "a", + "Explanation": "\"the combined rate of filling / emptying the tank = 1 / 15 - 1 / 6 = - 1 / 10 since the rate is negative , the tank will be emptied . a full tank would take 10 minutes to empty . since the tank is only one - fifth full , the time is ( 1 / 5 ) * 10 = 2 minutes the answer is a .\"" + }, + { + "Answer": 2, + "Options": "a ) 3 , b ) 5 , c ) 4 , d ) 2 , e ) 6", + "Correct": "d", + "Explanation": "\"a rate = 1 / 3 b rate = 1 / 6 ( a + b ) rate = ( 1 / 3 ) + ( 1 / 6 ) = 1 / 2 a & b finish the work in 2 days correct option is d\"" + }, + { + "Answer": 28, + "Options": "a ) 12 sec , b ) 15 sec , c ) 16 sec , d ) 28 sec , e ) none", + "Correct": "d", + "Explanation": "\"sol . speed = ( 36 x 5 / 18 ) m / sec . = 10 m / sec . time taken = ( 280 x 1 / 10 ) sec = 28 sec answer d\"" + }, + { + "Answer": 3, + "Options": "a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3", + "Correct": "e", + "Explanation": "\"let the required number days be x . less spiders , more days ( indirect proportion ) less webs , less days ( direct proportion ) spiders 1 : 3 webs 3 : 1 1 x 3 x x = 3 x 1 x 3 = > x = 3 answer is e\"" + }, + { + "Answer": 4, + "Options": "a ) 4 min , b ) 2 min , c ) 3 min , d ) 1 min , e ) 10 min", + "Correct": "a", + "Explanation": "\"full cistern filled in = 44 minutes 1 / 11 part filled in = 44 * 1 / 11 = 4 minutes answer is a\"" + }, + { + "Answer": 105, + "Options": "a ) 150 meter , b ) 105 meter , c ) 140 meter , d ) 135 meter , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : speed = 54 * ( 5 / 18 ) m / sec = 15 m / sec length of train ( distance ) = speed * time = 15 * 7 = 105 meter option b\"" + }, + { + "Answer": 12, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", + "Correct": "d", + "Explanation": "\"40 printing presses can do 1 / 9 of the job each hour . 30 printing presses can do 3 / 4 * 1 / 9 = 1 / 12 of the job each hour . the answer is d .\"" + }, + { + "Answer": 21.999999999999993, + "Options": "a ) 17 hr , b ) 19 hr , c ) 22 hr , d ) 24 hr , e ) 26 hr", + "Correct": "c", + "Explanation": "work done by the tank in 1 hour = ( 1 / 2 - 2 1 / 5 ) = 1 / 22 leak will empty the tank in 22 hrs . answer : c" + }, + { + "Answer": 12, + "Options": "a ) 0 , b ) 3 , c ) 6 , d ) 9 , e ) 12", + "Correct": "e", + "Explanation": "only the prime numbers greater than 10 and less than 55 were left . that is 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 , 41 , 43 , 47 , and 53 . the total is 12 . the answer is e ." + }, + { + "Answer": 70, + "Options": "a ) 40 days , b ) 50 days , c ) 60 days , d ) 70 days , e ) 80 days", + "Correct": "d", + "Explanation": "\"exp : we have , m 1 d 1 = m 2 d 2 600 * 35 = 300 * d 2 d 2 = 600 * 35 / 300 = 70 days . answer : d\"" + }, + { + "Answer": 784, + "Options": "a ) 784 , b ) 763 , c ) 120 , d ) 160 , e ) 1260", + "Correct": "a", + "Explanation": "\"parallelogram can formed by 2 horizontal and 2 vertical lines for horizontal 8 c 2 for vertical 8 c 2 total parallelogram is 10 c 2 * 8 c 2 = 28 * 28 = 784 answer : a\"" + }, + { + "Answer": 25, + "Options": "a ) 22 , b ) 25 , c ) 32 , d ) 99 , e ) 88", + "Correct": "b", + "Explanation": "explanation : total volume of water displaced = ( 4 x 50 ) = 200 rise in water level = = 0.25 m = 25 cm answer : b ) 25 cm" + }, + { + "Answer": 144, + "Options": "a ) 144 kmph , b ) 124 kmph , c ) 134 kmph , d ) 150 kmph , e ) 160 kmph", + "Correct": "a", + "Explanation": "in 8 s the train crosses the pole and in 18 sec the train crosses one more stationary train in 10 sec the train travels a distance of 400 mtrs speed = 400 / 10 = 40 m / s = 40 ( 3600 / 1000 ) = 40 * 18 / 5 = 144 kmph answer : a" + }, + { + "Answer": 4.2, + "Options": "a ) 4.2 , b ) 7.1 , c ) 7.2 , d ) 7.5 , e ) 8.0", + "Correct": "a", + "Explanation": "pick a number which is lcm of 7 and 3 = 21 . upstream time = 21 / 3 = 7 hrs downstream time = 21 / 7 = 3 hrs total time = 10 hrs total distance = 42 average speed = 42 / 10 = 4.2 km / hr" + }, + { + "Answer": 204.6862745098039, + "Options": "a ) 22 , b ) 190 , c ) 277 , d ) 204 , e ) 208", + "Correct": "d", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 11 ) / 51 = 215 sec . time taken by a = 215 - 11 = 204 sec . answer : d\"" + }, + { + "Answer": 1600, + "Options": "a ) 1600 , b ) 2400 , c ) 5500 , d ) 7400 , e ) 3400", + "Correct": "a", + "Explanation": "\"number of bricks = volume of the wall / volume of 1 brick = ( 800 x 600 x 22.5 ) / ( 100 x 11.25 x 6 ) = 1600 answer : a\"" + }, + { + "Answer": 20, + "Options": "a ) 20 , b ) 50 , c ) 40 , d ) 100 , e ) 25", + "Correct": "a", + "Explanation": "\"original number of men = 10 * 40 / ( 40 - 20 ) = 20 answer is a\"" + }, + { + "Answer": 7.999999999999999, + "Options": "a ) 4 m , b ) 5 m , c ) 6 m , d ) 7 m , e ) 8 m", + "Correct": "e", + "Explanation": "\"explanation : let width = x then , height = 6 x and length = 42 x 42 x \u00e3 \u2014 6 x \u00e3 \u2014 x = 129024 x = 8 answer : e\"" + }, + { + "Answer": 3, + "Options": "a ) 3.625 , b ) 3.5 , c ) 3 , d ) 4 , e ) 4.5", + "Correct": "c", + "Explanation": "set up two r x t = d cases . 1 . 1 / 10 km / min x t = 2.5 from which t = 25 mins . we know total journey time now is 35 + 25 = 60 the rate is the same ie 1 / 10 km / min . set up second r x t = d case . 1 / 10 km / min x 60 = 6 km now the total journey would be halved as distance would be same in each direction . 6 / 2 = 3 c" + }, + { + "Answer": 32, + "Options": "a ) 62 degrees , b ) 32 degrees , c ) 65 degrees , d ) 66 degrees , e ) 67 degrees", + "Correct": "b", + "Explanation": "explanation : sum of temperatures on 1 st , 2 nd , 3 rd and 4 th days = ( 58 * 4 ) = 232 degrees . . . ( 1 ) sum of temperatures on 2 nd , 3 rd , 4 th and 5 th days - ( 59 * 4 ) = 236 degrees . . . . ( 2 ) subtracting ( 1 ) from ( 2 ) , we get : temp , on 5 th day - temp on 1 st day = 4 degrees . let the temperatures on 1 st and 5 th days be 7 x and 8 x degrees respectively . then , 8 x - 7 x = 4 or x = 4 . answer : b temperature on the 5 th day = 8 x = 32 degrees ." + }, + { + "Answer": 1.3333333333333333, + "Options": "a ) 1 , b ) 1.25 , c ) 1.33 , d ) 1.5 , e ) 1.75", + "Correct": "c", + "Explanation": "average speed = total distance / total time here number of steps to 20 th floor and back is same as she takes the same route . d = 2 t 1 and d = 4 t 2 therefore , t 1 = d / 2 and t 2 = d / 4 t 1 + t 2 = 3 d / 4 therefore , average speed = 2 d / 3 d / 4 = 2 d * 4 / 3 d answer is 1.3 since , the options are far away we need not solve till the decimal points so correct answer is option c" + }, + { + "Answer": 4.5, + "Options": "a ) 4.5 , b ) 5.5 , c ) 6.5 , d ) 4.8 , e ) 2", + "Correct": "a", + "Explanation": "\"36 - - - 6 ds = 6 ? - - - - 1 18 - - - - 6 us = 3 ? - - - - 1 m = ? m = ( 6 + 3 ) / 2 = 4.5 answer : a\"" + }, + { + "Answer": 6.31578947368421, + "Options": "a ) 6.32 hr , b ) 8 hr , c ) 8.5 hr , d ) 10 hr , e ) none of these", + "Correct": "a", + "Explanation": "\"solution : work done by all the tanks working together in 1 hour . 1 / 10 + 1 / 12 \u2212 1 / 40 = 3 / 19 hence , tank will be filled in 19 / 3 = 6.32 hour option ( a )\"" + }, + { + "Answer": 25, + "Options": "a ) 5 days , b ) 15 days , c ) 10 days , d ) 25 days , e ) 20 days", + "Correct": "d", + "Explanation": "that is , half the work done = 5 * 15 * 1 / 2 then , 5 * 15 * 1 / 2 = 3 * ? * 1 / 2 i . e . 5 * 15 = 3 * ? = 5 * 15 / 3 = 25 day d" + }, + { + "Answer": 380, + "Options": "a ) 320 , b ) 340 , c ) 360 , d ) 380 , e ) 400", + "Correct": "d", + "Explanation": "\"relative speed = ( 144 - 72 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in 19 sec = 19 * 20 = 380 m . the length of the faster train = 380 m . answer : d\"" + }, + { + "Answer": 10.439164866810657, + "Options": "a ) 10.9 sec , b ) 13.8 sec , c ) 53.8 sec , d ) 10.44 sec , e ) 10.4 sec", + "Correct": "d", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 140 + 150 = 290 m . required time = 290 * 9 / 250 = 10.44 sec . answer : d :\"" + }, + { + "Answer": 6, + "Options": "a ) 8 , b ) 6 , c ) 5 , d ) 4 , e ) 1", + "Correct": "b", + "Explanation": "\"explanation : two painters can complete two rooms in two hours . so 18 rooms can be painted in 6 hrs by 6 painters answer : b ) 6 painters\"" + }, + { + "Answer": 4.8, + "Options": "a ) 1.6 km , b ) 2 km , c ) 3.6 km , d ) 4.8 km , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : speed downstreams = ( 12 + 4 ) kmph = 16 kmph . distance travelled = ( 16 x 18 / 60 ) km = 4.8 km option d\"" + }, + { + "Answer": 15, + "Options": "a ) 12 kmph , b ) 13 kmph , c ) 14 kmph , d ) 15 kmph , e ) none", + "Correct": "d", + "Explanation": "sol . let the speed of the boat in still water be x kmph . then , speed downstream = ( x + 3 ) kmph , speed upstream = ( x - 3 ) kmph . \u2234 ( x + 3 ) * 1 = ( x - 3 ) * 3 / 2 \u21d4 2 x + 6 = 3 x - 9 \u21d4 x = 15 kmph . answer d" + }, + { + "Answer": 80, + "Options": "a ) 65 , b ) 70 , c ) 75 , d ) 80 , e ) 85", + "Correct": "d", + "Explanation": "\"pump a can empty ( 1 / 4 ) of the pool per hour . pump b can empty ( 1 / 2 ) of the pool per hour . together the pumps can empty 1 / 4 + 1 / 2 = 3 / 4 of the pool per hour . 1 pool / ( 3 / 4 ) pool per hour = 4 / 3 hours = 80 minutes . the answer is d .\"" + }, + { + "Answer": 2700, + "Options": "a ) 1977 , b ) 1893 , c ) 2700 , d ) 1900 , e ) 1278", + "Correct": "c", + "Explanation": "\"2000 - - - - 62 2000 - - - - 47 x - - - - - 20 x * 20 = 2000 * 47 x = 4700 2000 - - - - - - - 2700 answer : c\"" + }, + { + "Answer": 900, + "Options": "a ) 800 , b ) 900 , c ) 950 , d ) 1000 , e ) 1050", + "Correct": "b", + "Explanation": "\"speed = ( 180 x ( 5 / 18 ) m / sec = ( 50 ) m / sec . length of the train = ( speed x time ) . length of the train = ( ( 50 ) x 18 ) m = 900 m b\"" + }, + { + "Answer": 20, + "Options": "a ) 21 kmph , b ) 22 kmph , c ) 20 kmph , d ) 23 kmph , e ) 24 kmph", + "Correct": "c", + "Explanation": "\"60 * 20 / 60 = 20 kmph answer : c\"" + }, + { + "Answer": 70, + "Options": "a ) 65 mtr . , b ) 52 mtr , c ) 70 mtr . , d ) 78 mtr . , e ) 17 mtr .", + "Correct": "c", + "Explanation": "\"20 men is 6 days can build 112 metres 25 men in 3 days can build = 112 * ( 25 / 20 ) x ( 3 / 6 ) = 70 meters answer : c .\"" + }, + { + "Answer": 4.2, + "Options": "a ) 4.0 m , b ) 4.1 m , c ) 4.2 m , d ) 4.3 m , e ) none of these", + "Correct": "c", + "Explanation": "area of the field = 13.5 \u00d7 2.5 = 33.75 m 2 area covered by the rectangular tank = 5 \u00d7 4.5 = 22.50 m 2 area of the field on which the earth dug out is to be spread = 33.75 \u2013 22.50 = 11.25 m 2 let the required height be h . then , 11.25 \u00d7 h = 5 \u00d7 4.5 \u00d7 2.1 or h = 4.2 m answer c" + }, + { + "Answer": 13, + "Options": "a ) 22 , b ) 27 , c ) 13 , d ) 19 , e ) 17", + "Correct": "c", + "Explanation": "so distance between the top points = ad = 122 + 52 \u2212 \u2212 \u2212 \u2212 \u2212 \u2212 \u2212 \u221a = 13122 + 52 = 13 so in paper b he did well . answer : c" + }, + { + "Answer": 31.5, + "Options": "a ) 4.5 hrs , b ) 5 hrs , c ) 6.5 hrs , d ) 17.2 hrs , e ) 31.5 hrs", + "Correct": "e", + "Explanation": "\"net part filled in 1 hour = 1 / 7 - 1 / 9 = 2 / 63 therefore the cistern will be filled in 63 / 2 hours or 31.5 hours . answer : e\"" + }, + { + "Answer": 7, + "Options": "a ) 9 , b ) 8 , c ) 6 , d ) 7 , e ) 2", + "Correct": "d", + "Explanation": "\"32 - - - 4 ds = 8 ? - - - - 1 24 - - - - 4 us = 6 ? - - - - 1 m = ? m = ( 8 + 6 ) / 2 = 7 answer : d\"" + }, + { + "Answer": 2, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "b", + "Explanation": "a and b work together for 2 days . a 1 day work 1 / 18 b 1 day work 1 / 9 let a work x days . then equation form is ( x / 18 ) + ( ( x + 6 ) / 9 ) = 1 from this equation x value is 2 . answer : b" + }, + { + "Answer": 20, + "Options": "a ) 20 days , b ) 48 days , c ) 98 days , d ) 31 days , e ) 22 days", + "Correct": "a", + "Explanation": "\"b = 1 / 10 \u2013 1 / 20 = 1 / 20 = > 20 days answer : a\"" + }, + { + "Answer": 18, + "Options": "a ) 16.5 , b ) 17.0 , c ) 17.5 , d ) 18.0 , e ) 18.5", + "Correct": "d", + "Explanation": "\"time 1 = 300 / 20 = 15 hours time 2 = 150 / 15 = 10 hours total time = 25 hours average speed = 450 / 25 = 18 km / hr the answer is d .\"" + }, + { + "Answer": 0.16666666666666666, + "Options": "a ) 1 / 3 , b ) 1 / 6 , c ) 1 / 15 , d ) 3 / 8 , e ) 2 / 3", + "Correct": "b", + "Explanation": "\"1 / 4 c 2 = 1 / 6 . answer : b .\"" + }, + { + "Answer": 225.018, + "Options": "a ) 225 m , b ) 100 m , c ) 120 m , d ) 180 m , e ) none", + "Correct": "a", + "Explanation": "\"solution relative speed = ( 36 + 45 ) km / hr = ( 81 x 5 / 18 ) m / sec = ( 45 / 2 ) m / sec length of the train = ( 45 / 2 x 10 ) m = 225 m . answer a\"" + }, + { + "Answer": 212.5, + "Options": "a ) 122.9 m , b ) 127.5 m . , c ) 122.2 m , d ) 222.9 m , e ) 212.5 m", + "Correct": "e", + "Explanation": "when a runs 1000 m , b runs 900 m and when b runs 800 m , c runs 700 m . when b runs 900 m , distance that c runs = ( 900 * 700 ) / 800 = 6300 / 8 = 787.5 m . in a race of 1000 m , a beats c by ( 1000 - 787.5 ) = 212.5 m to c . in a race of 1000 m , the number of meters by which a beats c = ( 1000 * 212.5 ) / 1000 = 212.5 m . answer : e" + }, + { + "Answer": 90, + "Options": "a ) 25 , b ) 90 , c ) 35 , d ) 20 , e ) none of these", + "Correct": "b", + "Explanation": "\"60 men complete 0.4 work in 25 days . applying the work rule , m 1 \u00d7 d 1 \u00d7 w 2 = m 2 \u00d7 d 2 \u00d7 w 1 we have , 60 \u00d7 25 \u00d7 0.6 = m 2 \u00d7 25 \u00d7 0.4 or m 2 = 60 \u00d7 25 \u00d7 0.6 / 25 \u00d7 0.4 = 90 men answerb\"" + }, + { + "Answer": 150, + "Options": "a ) 176 sec , b ) 190 sec , c ) 178 sec , d ) 150 sec , e ) 276 sec", + "Correct": "d", + "Explanation": "\"l = s * t s = 1200 / 120 s = 10 m / sec . total length ( d ) = 1500 m t = d / s t = 1500 / 10 t = 150 sec answer : d\"" + }, + { + "Answer": 4320, + "Options": "a ) 7580 , b ) 7960 , c ) 8290 , d ) 4320 , e ) none", + "Correct": "d", + "Explanation": "\"solution work done by the inlet in 1 hour = ( 1 / 6 - 1 / 12 ) = 1 / 12 . work done by the inlet in 1 min . = ( 1 / 12 \u00d7 1 / 60 ) = 0.001389 volume of 0.001389 part = 6 litres . therefore , volume of whole = 1 / 0.001389 x 6 \u2039 = \u203a 4320 litres . answer d\"" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", + "Correct": "a", + "Explanation": "\"total distance = 24 kms maxwell speed = 4 kms / hr maxwell travelled for 1 hour before brad started , therefore maxwell traveled for 4 kms in 1 hour . time taken = total distance / relative speed total distance after brad started = 20 kms relative speed ( opposite side ) ( as they are moving towards each other speed would be added ) = 6 + 4 = 10 kms / hr time taken to meet brad after brad started = 20 / 10 = 2 hrs distance traveled by maxwell = maxwell ' s speed * time taken = 4 * 2 = 8 + 4 = 12 kms . . . therefore total time taken by maxwell to meet brad = distance travelled by maxwell / maxwell ' s speed = 12 / 4 = 3 hrs . . . answer a\"" + }, + { + "Answer": 2, + "Options": "a ) 2 : 5 , b ) 2 : 9 , c ) 2 : 4 , d ) 2 : 1 , e ) 2 : 2", + "Correct": "d", + "Explanation": "12 m + 16 b - - - - - 5 days 13 m + 24 b - - - - - - - 4 days 60 m + 80 b = 52 m + 96 b 8 m = 16 b = > 1 m = 2 b m : b = 2 : 1 answer : d" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 4 , c ) 12 , d ) 40 , e ) 160", + "Correct": "a", + "Explanation": "\"actual miles / gallon is = 480 / 40 = 12 miles / gallon . current engine miles / gallon is 10 miles / gallon . additional 2 miles / gallon is required to match the actual mileage . imo option a .\"" + }, + { + "Answer": 5, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "e", + "Explanation": "let x be no . of cat 5 cat catch 5 mice in 5 min 5 cat catch 1 mice in ( 5 / 5 = 1 min ) 1 cat catch 1 mice in 1 * 5 = 5 min 1 cat catch 100 mice in 5 * 100 min x cat catch 100 mice in ( 5 * 100 ) / x min a / q ( 5 * 100 ) / x = 100 = > 5 * 100 = x * 100 = > x = 5 answer : e" + }, + { + "Answer": 11.999999999999998, + "Options": "a ) 8 , b ) 11 , c ) 12 , d ) 15 , e ) 16", + "Correct": "c", + "Explanation": "\"the work done by p in 1 day = 1 / 22 let work done by q in 1 day = q q \u00d7 ( 120 / 100 ) = 1 / 22 q = 100 / ( 22 \u00d7 120 ) = 10 / ( 22 \u00d7 12 ) the work done by p and q in 1 day = 1 / 22 + 10 / ( 22 \u00d7 12 ) = 22 / ( 22 \u00d7 12 ) = 1 / 12 p and q together can do the work in 12 days . the answer is c .\"" + }, + { + "Answer": 4, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", + "Correct": "c", + "Explanation": "\"39 = 21 + 18 + 12 - 4 - 2 x 2 x = 21 + 18 + 12 - 4 - 39 = 47 - 39 = 8 x = 4 c\"" + }, + { + "Answer": 38.8235294117647, + "Options": "a ) 36 mph , b ) 40 mph , c ) 39 mph , d ) 42 mph , e ) 38 mph", + "Correct": "c", + "Explanation": "so the answer is plainly c . . . . we have a general relation for speed , time and distance : v ( velocity ) * t ( time ) = d ( distance ) for first part we have d = 90 miles , and v = 30 mph so we can obtain time : 30 * t = 90 or t = 90 / 30 = 3 hours the needed time to cover 90 miles in the same way we should divide 75 to 60 to find the needed time to cover 75 miles , so t = 1.25 hours so the total time for covering total distance would be 3 + 1.25 = 4.25 hours and total distance is 90 + 75 = 165 miles final stage : average speed is total distance divide to total time : 165 / 4.25 = 38.8 miles per hour rounded up to 39 mph . . . ." + }, + { + "Answer": 275, + "Options": "a ) 235 miles . , b ) 245 miles . , c ) 255 miles . , d ) 265 miles . , e ) 275 miles .", + "Correct": "e", + "Explanation": "\"the total distance d traveled by john is given by d = 55 * 2 + 3 * 55 = 275 miles . answer e\"" + }, + { + "Answer": 3, + "Options": "a ) 3 minutes , b ) 6 minutes , c ) 8 minutes , d ) 9 minutes , e ) 10 minutes", + "Correct": "a", + "Explanation": "\"let ' s say the distance between the buses is d . we want to determine interval = \\ frac { d } { b } , where b is the speed of bus . let the speed of cyclist be c . every 6 minutes a bus overtakes cyclist : \\ frac { d } { b - c } = 6 , d = 6 b - 6 c ; every 2 minutes cyclist meets an oncoming bus : \\ frac { d } { b + c } = 2 , d = 2 b + 2 c ; d = 6 b - 6 c = 2 b + 2 c , - - > b = 2 c , - - > d = 6 b - 3 b = 3 b . interval = \\ frac { d } { b } = \\ frac { 3 b } { b } = 3 answer : a ( 3 minutes ) .\"" + }, + { + "Answer": 425, + "Options": "a ) s 425 , b ) s 780 , c ) s 880 , d ) s 480 , e ) s 980", + "Correct": "a", + "Explanation": "\"area of the plot = 110 m * 65 m = 7150 sq . m area of plot excluding gravel = 105 m * 60 m = 6300 sq . m area of gravel = 7150 sq . m - 6300 sq . m = 850 sq . m cost of building it = 850 sq . m * 50 = 42500 p in rs = 42500 / 100 = rs 425 answer : a\"" + }, + { + "Answer": 265, + "Options": "a ) 245 , b ) 265 , c ) 295 , d ) 325 , e ) 375", + "Correct": "b", + "Explanation": "\"45 km / h = 45000 m / 3600 s = 12.5 m / s in 30 seconds , the train can go 30 ( 12.5 ) = 375 meters let x be the length of the bridge . x + 110 = 375 meters x = 265 meters the answer is b .\"" + }, + { + "Answer": 310.5625, + "Options": "a ) 311 , b ) 322 , c ) 313 , d ) 314 , e ) 385", + "Correct": "a", + "Explanation": "\"the diff in sec between 1 : 57 : 58 and 3 : 20 : 47 is 4969 sec , 4969 / 16 = 310 . so total 311 times light ll glow answer : a\"" + }, + { + "Answer": 375.03, + "Options": "a ) 275 m , b ) 360 m , c ) 375 m , d ) 420 m , e ) 440 m", + "Correct": "c", + "Explanation": "the distance traveled in 25 sec = 54 * ( 5 / 18 ) * 25 = 375 m answer : c" + }, + { + "Answer": 5, + "Options": "a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3", + "Correct": "c", + "Explanation": "\"let the required number days be x . less spiders , more days ( indirect proportion ) less webs , less days ( direct proportion ) spiders 1 : 5 webs 5 : 1 1 x 5 x x = 5 x 1 x 5 = > x = 5 answer is c\"" + }, + { + "Answer": 3.5, + "Options": "a ) 4.5 , b ) 5.5 , c ) 6.5 , d ) 7.5 , e ) 3.5", + "Correct": "e", + "Explanation": "\"each 40 kilometers , 1 gallon is needed . we need to know how many 40 kilometers are there in 140 kilometers ? 140 \u00f7 40 = 3.5 \u00d7 1 gallon = 3.5 gallons correct answer e\"" + }, + { + "Answer": 0.7, + "Options": "a ) 7 / 10 , b ) 15 / 14 , c ) 4 / 5 , d ) 5 / 4 , e ) can not be determined", + "Correct": "a", + "Explanation": "\"average speed of jack = distance / time = 42 / 6 = 7 average speed of jill = 42 / ( 4.2 ) = 10 ratio of average speed of jack to jill = 7 / 10 answer a\"" + }, + { + "Answer": 200, + "Options": "a ) 160 hr , b ) 200 hr , c ) 120 hr , d ) 140 hr , e ) 180 hr", + "Correct": "b", + "Explanation": "explanation : speed up stream = 5 - 2 = 3 km / hr speed down stream = 5 + 2 = 7 km / hr total time taken = 252 / 3 + 252 / 7 = 84 + 36 = 120 hr answer : option b" + }, + { + "Answer": 30, + "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", + "Correct": "a", + "Explanation": "\"30 workers working already let x be the total men required to finish the task in next 20 days 2 km done hence remaining is 8 km also , work has to be completed in next 20 days ( 30 - 10 = 20 ) we know that , proportion of men to distance is direct proportion and , proportion of men to days is inverse proportion hence , x = ( 30 * 8 * 10 ) / ( 2 * 20 ) thus , x = 60 thus , more men needed to finish the task = 60 - 30 = 30 answer : a\"" + }, + { + "Answer": 8, + "Options": "a ) 2.25 hours , b ) 8 hours , c ) 12 hours , d ) 14.25 hours , e ) 16 hours", + "Correct": "b", + "Explanation": "\"let each machine do 1 unit of work for 1 hour 8 machines - - > 8 units of work in 1 hour for 6 hours = 8 * 6 = 48 units of total work is done . now this 48 units of total work must be done by 6 machines 6 units of work ( 6 machines ) - - - > 1 hour for 48 units of work 6 * 8 - - - > 1 * 8 hours b 8 hours\"" + }, + { + "Answer": 20.000000000000007, + "Options": "a ) 20 , b ) 30 , c ) 40 , d ) 50 , e ) 60", + "Correct": "a", + "Explanation": "\"avery takes 3 hours tom takes 2 hours efficiency of avery is 1 / 3 units / hr efficiency of tom is 1 / 2 units / hr combined efficiency of tom and avery is 1 / 3 + 1 / 2 = 5 / 6 units / hr since they worked for 1 hour they completed 5 / 6 units of work and 1 / 6 units of work is left which is to be completed by tom ( since avery left ) so time taken by tom to complete the remaining work will be 1 / 6 / 1 / 2 hours = > 1 / 3 * 60 = 20 minutes . . . answer will be ( a )\"" + }, + { + "Answer": 5, + "Options": "a ) 4.5 , b ) 5 , c ) 6.5 , d ) 7.5 , e ) 8.5", + "Correct": "b", + "Explanation": "\"each 40 kilometers , 1 gallon is needed . we need to know how many 40 kilometers are there in 180 kilometers ? 200 \u00f7 40 = 5 \u00d7 1 gallon = 5 gallons correct answer b\"" + }, + { + "Answer": 15, + "Options": "a ) 55 days , b ) 77 days , c ) 20 days , d ) 88 days , e ) 15 days", + "Correct": "e", + "Explanation": "\"12 * 25 = 20 * x = > x = 15 days answer : e\"" + }, + { + "Answer": 150, + "Options": "a ) 100 , b ) 120 , c ) 130 , d ) 150 , e ) 160", + "Correct": "d", + "Explanation": "\"speed = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec length of the train = ( speed x time ) = ( 50 / 3 * 9 ) m = 150 m . answer : option d\"" + }, + { + "Answer": 15, + "Options": "a ) 14 th , b ) 15 th , c ) 16 th , d ) 17 th , e ) 18 th", + "Correct": "b", + "Explanation": "3.2 km / 200 m = 16 . however , the street at the 3.2 - km mark is not 16 th street ; it is cherry street . therefore , the highest numbered street is 15 th street . the answer is b ." + }, + { + "Answer": 100, + "Options": "a ) $ 100 , b ) $ 150 , c ) $ 125 , d ) $ 134 , e ) $ 243", + "Correct": "a", + "Explanation": "a $ 100 3 x 4 x 5 x 6 9 4 18 x + 36 x + 20 x = 1480 74 x = 1480 = > x = 20 5 x = 100 rs ." + }, + { + "Answer": 0.8400000000000001, + "Options": "a ) 14 / 15 , b ) 15 / 14 , c ) 4 / 5 , d ) 21 / 25 , e ) can not be determined", + "Correct": "d", + "Explanation": "\"average speed of jack = distance / time = 42 / 5 average speed of jill = 42 / ( 4.2 ) = 10 ratio of average speed of jack to jill = ( 42 / 5 ) / 10 = 42 / 50 = 21 / 25 answer d\"" + }, + { + "Answer": 79.99999999999999, + "Options": "a ) 30 , b ) 48 , c ) 60 , d ) 80 , e ) 90", + "Correct": "d", + "Explanation": "\"total vehicle = 2 / 3 of speedster + 1 / 3 of others . speedster convertibles = 2 / 3 total vehicle * 4 / 5 given : 1 / 3 constitutes 50 vehicles . hence 2 / 3 constitutes 100 speedster convertibls = 100 * 4 / 5 = 80 d\"" + }, + { + "Answer": 3, + "Options": "a ) 2 / 3 , b ) 3 / 4 , c ) 1 , d ) 2 , e ) 3", + "Correct": "e", + "Explanation": "work done by tina in 1 hr = 1 / 12 work done by tina in 8 hr = 1 / 12 * 8 which is 2 / 3 now , the remaining work is 1 / 3 which is completed by ann in 1 / 3 * 9 which is 3 hr answer : e" + }, + { + "Answer": 176, + "Options": "a ) 233 , b ) 877 , c ) 279 , d ) 176 , e ) 291", + "Correct": "d", + "Explanation": "\"explanation : area of the room = 544 * 374 sq cm size of largest square tile = h . c . f of 544 cm and 374 cm = 34 cm area of 1 tile = 34 * 34 sq cm no . of tiles required = ( 544 * 374 ) / ( 34 * 34 ) = 176 answer : d ) 176\"" + }, + { + "Answer": 109.95574287564276, + "Options": "a ) 288 , b ) 110 , c ) 772 , d ) 592 , e ) 261", + "Correct": "b", + "Explanation": "\"2 * 22 / 7 * 7 = 44 44 * 2.5 = rs . 110 answer : b\"" + }, + { + "Answer": 205, + "Options": "a ) 140 , b ) 150 , c ) 205 , d ) 170 , e ) 180", + "Correct": "c", + "Explanation": "\"l . c . m of two numbers is given by ( product of the two numbers ) / ( h . c . f of the two numbers ) = 2460 / 12 = 205 . answer : c\"" + }, + { + "Answer": 1.4999999999999993, + "Options": "a ) 1 , b ) 1.5 , c ) 2 , d ) 2.5 , e ) 3", + "Correct": "b", + "Explanation": "\"new time = d / ( 6 v / 7 ) = 7 / 6 * usual time 15 minutes represents 1 / 6 of the usual time . the usual time is 1.5 hours . the answer is b .\"" + }, + { + "Answer": 64, + "Options": "a ) 32 , b ) 64 , c ) 48 , d ) 68 , e ) 78", + "Correct": "b", + "Explanation": "explanation : product of two numbers = product of their l . c . m and h . c . f 48 x a = 192 x 16 a = ( 192 x 16 ) / 48 = 64 answer : option b" + }, + { + "Answer": 130, + "Options": "a ) 378 , b ) 277 , c ) 297 , d ) 267 , e ) 130", + "Correct": "e", + "Explanation": "sol : use formula \u03b8 = \u2223 \u2223 \u2223 30 h \u2212 112 m \u2223 \u2223 \u2223 \u03b8 = | 30 h \u2212 112 m | angle = 30 \u00d7 3 \u2013 11 / 2 \u00d7 40 = 90 \u2013 220 = 130 \u00b0 answer : e" + }, + { + "Answer": 1, + "Options": "a ) 1 hr , b ) 2 hrs , c ) 3 hrs , d ) 4 hrs , e ) 5 hrs", + "Correct": "a", + "Explanation": "\"speed downstream = ( 40 + 5 ) km / hr = 45 km / hr . time taken to travel 45 km downstream = 45 / 45 hrs = 1 hrs . answer : a\"" + }, + { + "Answer": 36, + "Options": "a ) 25 kmph , b ) 30 kmph , c ) 50 kmph , d ) 36 kmph , e ) 37 kmph", + "Correct": "d", + "Explanation": "explanation : m / sec to km / hr conversion : x m / sec = [ x x ( 18 / 5 ) ] km / hr 10 x ( 18 / 5 ) 36 kmph answer : option d" + }, + { + "Answer": 2, + "Options": "a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4", + "Correct": "c", + "Explanation": "the middle number is 140 and the seven numbers are 137 , 138 , 139 , \u00b7 \u00b7 \u00b7 , 143 . now 138 , 140 , and 142 are even , 141 is divisible by 3 , and 143 - by 11 . the remaining numbers 137 and 139 are prime ( it is easy to check that they are not divisible by 23 , 57 and 11 ) . correct answer c" + }, + { + "Answer": 90, + "Options": "a ) 145 , b ) 90 , c ) 175 , d ) 160 , e ) 130", + "Correct": "b", + "Explanation": "1 hr = 20 percent . thus 15 min = 5 percent . now to charge 30 percent 90 min . answer : b" + }, + { + "Answer": 20, + "Options": "a ) 19 , b ) 20 , c ) 22 , d ) 21 , e ) 19.5", + "Correct": "b", + "Explanation": "\"let t be the number of hours that bob had walked when he met yolanda . then , when they met , bob had walked 4 t miles and yolanda had walked ( t + 1 ) miles . these distances must sum to 31 miles , so 2 t + ( t + 1 ) = 31 , which may be solved for t as follows 2 t + ( t + 1 ) = 31 2 t + t + 1 = 31 3 t = 30 t = 10 ( hours ) therefore , bob had walked 2 t = 2 ( 10 ) = 20 miles when they met . the best answer is b .\"" + }, + { + "Answer": 703.9999999999999, + "Options": "a ) 287 m , b ) 704 m , c ) 168 m , d ) 278 m , e ) 107 m", + "Correct": "b", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 500 resolutions . = 500 * 2 * 22 / 7 * 22.4 = 70400 cm = 704 m answer : b\"" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 6 , c ) 8 , d ) 9 , e ) 12", + "Correct": "b", + "Explanation": "\"the choices give away the answer . . 36 machines take 4 hours to fill 4 standard orders . . in next eq we aredoubling the machines from 36 to 72 , but thework is not doubling ( only 1 1 / 2 times ) , = 4 * 48 / 72 * 12 / 4 = 6 ans b\"" + }, + { + "Answer": 8, + "Options": "a ) 3 , b ) 6 , c ) 8 , d ) 9 , e ) 7", + "Correct": "c", + "Explanation": "\"m = 4 s = 2 us = 4 - 2 = 2 d = 16 t = 16 / 2 = 8 answer : c\"" + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 4 km , b ) 5 km , c ) 6 km , d ) 7 km , e ) 8 km", + "Correct": "c", + "Explanation": "time = distance / speed let total distance travelled be x in 84 / 60 hrs 2 / 3 rd of x travelled in 4 km / hr 1 / 3 rd of distance travelled in 5 km / hr 2 x / ( 3 * 4 ) + x / ( 3 * 5 ) = 84 / 60 x = 6 km answer : c" + }, + { + "Answer": 11.519078473722104, + "Options": "a ) 11.52 sec , b ) 10.1 sec , c ) 10.6 sec , d ) 10.8 sec , e ) 10.2 sec", + "Correct": "a", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 140 + 180 = 320 m . required time = 320 * 9 / 250 = 11.52 sec . answer : a\"" + }, + { + "Answer": 283.8, + "Options": "a ) 283.8 mtrs , b ) 378.4 mtrs , c ) 478.4 mtrs , d ) 488.4 mtrs , e ) 578.4 mtrs", + "Correct": "a", + "Explanation": "\"if 20 men can build a wall 66 metres long in 8 days , length of a similar wall that can be built by 86 men in 8 days = ( 66 * 86 * 8 ) / ( 8 * 20 ) = 283.8 mtrs answer : a\"" + }, + { + "Answer": 90, + "Options": "a ) 330 , b ) 90 , c ) 270 , d ) 250 , e ) 350", + "Correct": "b", + "Explanation": "\"the other number = l . c . m * h . c . f / given number = 2310 * 30 / 770 = 90 answer is b .\"" + }, + { + "Answer": 24, + "Options": "a ) 22 , b ) 98 , c ) 60 , d ) 88 , e ) 24", + "Correct": "e", + "Explanation": "\"let the speed of the slower train be x m / sec . then , speed of the train = 2 x m / sec . relative speed = ( x + 2 x ) = 3 x m / sec . ( 100 + 100 ) / 20 = 3 x = > x = 10 / 3 . so , speed of the faster train = 20 / 3 = 20 / 3 * 18 / 5 = 24 km / hr . answer : e\"" + }, + { + "Answer": 14.998800095992321, + "Options": "a ) 8 sec , b ) 15 sec , c ) 20 sec , d ) 10 sec , e ) 22 sec", + "Correct": "b", + "Explanation": "d = 150 m s = 36 * 5 / 18 = 10 t = 150 * 1 / 10 = 15 sec answer : b" + }, + { + "Answer": 150, + "Options": "a ) 150 meter , b ) 100 meter , c ) 105 meter , d ) 120 meter , e ) 130 meter", + "Correct": "a", + "Explanation": "\"speed = 90 * ( 5 / 18 ) m / sec = 25 m / sec length of train ( distance ) = speed * time ( 25 ) * 6 = 150 meter answer : a\"" + }, + { + "Answer": 16, + "Options": "a ) 3 . , b ) 7 . , c ) 10 . , d ) 16 . , e ) 15 .", + "Correct": "d", + "Explanation": "time taken by the birds to meet = 20 / ( 4 + 1 ) = 4 mins distance traveled by the bird traveling from west - town = 4 * 4 = 16 answer : d" + }, + { + "Answer": 3.75, + "Options": "a ) 3.75 days , b ) 3.78 days , c ) 3.25 days , d ) 3.15 days , e ) 2.75 days", + "Correct": "a", + "Explanation": "\"1 / 6 + 1 / 10 = 8 / 30 = 4 / 15 15 / 4 = 3.75 days answer : a\"" + }, + { + "Answer": 3, + "Options": "a ) 0 kmph , b ) 4 kmph , c ) 16 kmph , d ) 2.5 kmph , e ) 3 kmph", + "Correct": "e", + "Explanation": "speed of the stream = 1 / 2 ( 14 - 8 ) kmph = 3 kmph . correct option : e" + }, + { + "Answer": 50.004, + "Options": "a ) 45 m , b ) 50 m , c ) 54 m , d ) 72 m , e ) none of these", + "Correct": "b", + "Explanation": "let actual speed of train = s m / sec and length of train = l m . then , s - 2 \u00d7 5 / 18 = l 9 \u21d2 9 s = l + 5 . . . \u2026 ( i ) and s - 4 \u00d7 5 \u2044 18 = l \u2044 10 \u21d2 90 s = 9 l + 100 . . . . . ( ii ) by ( i ) & ( ii ) , we get l = 50 m . answer b" + }, + { + "Answer": 15.000000000000004, + "Options": "a ) 12 days , b ) 18 days , c ) 15 days , d ) 21 days , e ) 22 days", + "Correct": "c", + "Explanation": "\"explanation : a and b can do work 1 / 6 in 1 day a alone can do 1 / 10 work in 1 day b alone can do ( 1 / 6 - 1 / 10 ) = 1 / 15 work in 1 day = > complete work can be done in 15 days by b answer : option c\"" + }, + { + "Answer": 39.99999999999999, + "Options": "a ) 25 minutes . , b ) 30 minutes . , c ) 40 minutes . , d ) 55 minutes , e ) 1 hour and 20 minutes", + "Correct": "c", + "Explanation": "\"avery ' s efficiency is 100 / 3 = 33 % tom ' s = 100 / 2.5 = 40 % they worked together for 1 hour and finished 73 % of the job remaining = 27 % tom will complete 40 % in 60 minutes , 20 % in 30 minutes and , 7 % in 60 * 7 / 40 minutes = 10.5 minutes time taken by tom to finish the remaining on his own = 30 + 10.5 = 40.5 minutes ( adjusting for the 0.333 ) ~ 40 minutes answer : c\"" + }, + { + "Answer": 13.999999999999995, + "Options": "a ) 10 hr , b ) 14 hr , c ) 12 hr , d ) 9 hr , e ) 15 hr", + "Correct": "b", + "Explanation": "\"work done by the leak in 1 hour = 1 / 2 - 3 / 7 = 1 / 14 leak will empty the tank in 14 hrs answer is b\"" + }, + { + "Answer": 220, + "Options": "a ) 80 , b ) 100 , c ) 150 , d ) 180 , e ) 220", + "Correct": "e", + "Explanation": "\"since the population increases at the rate of 1 person every 15 seconds , it increases by 4 people every 60 seconds , that is , by 4 people every minute . thus , in 55 minutes the population increases by 55 x 4 = 220 people . answer . e .\"" + }, + { + "Answer": 60, + "Options": "a ) 50 km , b ) 45 km , c ) 33 km , d ) 60 km , e ) 54 km", + "Correct": "d", + "Explanation": "let distance be x s 1 = 10 km / hr s 2 = 20 km / hr t 1 = x / 10 hr t 2 = x / 20 hr difference in time = 2 + 1 = 3 hr ( x / 10 ) - ( x / 20 ) = 3 x = 60 km answer is d" + }, + { + "Answer": 250.05600000000004, + "Options": "a ) 271 , b ) 250 , c ) 350 , d ) 277 , e ) 232", + "Correct": "b", + "Explanation": "\"length of the platform = 126 * 5 / 18 * 20 = 700 \u2013 450 = 250 answer : b\"" + }, + { + "Answer": 2, + "Options": "a ) 6 hr , b ) 2 hr , c ) 4 hr , d ) 1 hr , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : speed downstream = 96 \u2044 8 = 12 kmph speed of current = 4 km / hr speed of the boatman in still water = 12 - 4 = 8 kmph speed upstream = 8 - 4 = 4 kmph time taken to cover 8 km upstream = 8 \u2044 4 = 2 hours . answer : option b\"" + }, + { + "Answer": 40, + "Options": "a ) 35 , b ) 36 , c ) 40 , d ) 42 , e ) 45", + "Correct": "c", + "Explanation": "\"the time for the first part of the trip was 25 / 60 = 5 / 12 hours . the time for the second part of the trip was 25 / 30 = 5 / 6 hours . the total time for the trip was 5 / 12 + 5 / 6 = 15 / 12 = 5 / 4 hours . the average speed for the trip was 50 / ( 5 / 4 ) = 40 kph the answer is c .\"" + }, + { + "Answer": 90000, + "Options": "['a ) 90,000', 'b ) 95,000', 'c ) 93,000', 'd ) 92,000', 'e ) 91,000']", + "Correct": "a", + "Explanation": "the options are well spread so we can approximate . changing the length by 1 cm results in change of the volume by 1 * 150 * 225 = 33,750 cubic centimeters ; changing the width by 1 cm results in change of the volume by 150 * 1 * 225 = 33,750 cubic centimeters ; changing the height by 1 cm results in change of the volume by 150 * 150 * 1 = 22,500 cubic centimeters . so , approximate maximum possible difference is 33,750 + 33,750 + 22,500 = 90,000 cubic centimeters . answer : a" + }, + { + "Answer": 6, + "Options": "a ) 6 minutes , b ) 5 minutes , c ) 7 minutes , d ) 3 minutes , e ) 4 minutes", + "Correct": "a", + "Explanation": "\"earl takes 1 min . for 36 envelopes . ellen takes 3 / 2 mins for the same . so ellen can stuff ( ( 36 ) / ( 3 / 2 ) ) in 1 min . i . e . , 24 envlpes a min . so both of them when work together can stuff 36 + 24 = 60 envelopes in 1 min . for 360 envelopes they will take 360 / 60 mins . i . e . , 6 mins . answer : a\"" + }, + { + "Answer": 4, + "Options": "a ) 3 km , b ) 4 km , c ) 5 km , d ) 6 km , e ) 7 km", + "Correct": "b", + "Explanation": "let the distance covered be d and time taken to reach the station in time t d / 4 = t + 6 / 60 - - - ( 1 ) d / 5 = t - 6 / 60 - - - ( 2 ) ( 1 ) - ( 2 ) gives d / 4 - d / 5 = ( 6 + 6 ) / 60 d / 20 = 12 / 60 d = 12 * 20 / 60 = 4 km answer : b" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 60 / 7", + "Correct": "a", + "Explanation": "\"you can either take the amount of work done as the same as karishma has done or take the work done by each in the same time . i will do the latter 1 . work done in 1 hr by a is 2000 envelopes 2 . work done in 1 hr by a and c is 3000 envelopes 3 . so work done in 1 hr by c is 1000 envelopes 4 . work done in 1 hr by b and c is 2400 envelopes 5 . so work done in 1 hr by b is 1400 envelopes 6 . so to process 2800 envelopes b will take 2800 / 1400 hrs = 2 hrs so the answer is choice a\"" + }, + { + "Answer": 12, + "Options": "a ) 87 days , b ) 12 days , c ) 66 days , d ) 77 days , e ) 44 days", + "Correct": "b", + "Explanation": "c = 1 / 2 - 1 / 4 - 1 / 6 = 1 / 12 = > 12 days answer : b" + }, + { + "Answer": 47.99616030717543, + "Options": "a ) 25 , b ) 30 , c ) 40 , d ) 48 , e ) 50", + "Correct": "d", + "Explanation": "\"relative speed of the train = 63 - 3 = 60 kmph = 60 * 5 / 18 = 50 / 3 m / sec t = 800 * 3 / 50 = 48 sec answer : d\"" + }, + { + "Answer": 141.3716694115407, + "Options": "a ) 138 , b ) 132 , c ) 150 , d ) 140 , e ) 222", + "Correct": "d", + "Explanation": "\"2 * 22 / 7 * 9 = 56 56 * 2 1 / 2 = rs . 140 answer : d\"" + }, + { + "Answer": 180, + "Options": "a ) 140 , b ) 150 , c ) 160 , d ) 170 , e ) 180", + "Correct": "e", + "Explanation": "\"length = speed * time speed = l / t s = 500 / 10 s = 50 m / sec speed = 50 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 180 kmph answer : e\"" + }, + { + "Answer": 226.5, + "Options": "a ) 226 , b ) 228 , c ) 229 , d ) 230 , e ) 200", + "Correct": "a", + "Explanation": "\"let the numbers be x , x + 1 then , x + ( x + 1 ) = 452 2 x = 450 x = 225 greatest number , ( x + 1 ) = 226 answer : a\"" + }, + { + "Answer": 273.59999999999997, + "Options": "a ) 72 sec , b ) 132 sec , c ) 192 sec , d ) 273.6 sec , e ) none", + "Correct": "d", + "Explanation": "\"solution relative speed = ( 45 - 40 ) kmph = 5 kmph = ( 5 x 5 / 18 ) m / sec = ( 25 / 18 ) m / sec time taken = ( 380 x 18 / 25 ) sec = 273.6 sec . answer d\"" + }, + { + "Answer": 40, + "Options": "a ) 40 , b ) 87 , c ) 126 , d ) 18 , e ) 91", + "Correct": "a", + "Explanation": "explanation : x = 7 km / hr ; y = 3 km / hr ds = 10 km / hr ; us = 4 km / hr distance ( d ) is same . therefore , if time taken for downstream is t hours , the time for upstream is ( t + 6 ) hours . 10 * t = 4 * ( t + 6 ) 6 t = 24 ; t = 4 hours d = 10 * 4 = 40 km answer : a" + }, + { + "Answer": 350, + "Options": "a ) 127 days , b ) 667 days , c ) 177 days , d ) 187 days , e ) 350 days", + "Correct": "e", + "Explanation": "\"1 man ' s 1 day work = 1 / 100 ( 10 men + 15 women ) ' s 1 day work = 1 / 7 15 women ' s 1 day work = ( 1 / 7 - 10 / 100 ) = 3 / 70 1 woman ' s 1 day work = 1 / 350 1 woman alone can complete the work in 350 days . answer : e\"" + }, + { + "Answer": 23.999999999999996, + "Options": "a ) 24 days , b ) 25 days , c ) 30 days , d ) 32 days , e ) none of these", + "Correct": "a", + "Explanation": "let a can do a work in = 1 / 60 days he does 15 days so work done by a in 15 days = ( 15 ) * ( 1 / 60 ) = 1 / 4 remaining work is = 1 - 1 / 4 = 3 / 4 b ' s one day work is = 1 / 30 so 3 / 4 work is done by b in = ( 3 / 4 ) * ( 1 / 30 ) = 1 / 40 days time require to complete the work is = 1 / 60 + 1 / 40 = 5 / 120 5 / 120 = 1 / 24 so 24 days require to complete the work together . answer : a" + }, + { + "Answer": 30, + "Options": "a ) 24 , b ) 30 , c ) 48 , d ) 54 , e ) 75", + "Correct": "b", + "Explanation": "speed = distance / time distance for jerry = speed * time = 40 * 1 / 2 = 20 miles distance for beth = distance for jerry + 5 = 20 + 5 = 25 miles time taken by beth = time taken by jerry + ( 1 / 3 hour ) = 1 / 2 + 1 / 3 = 5 / 6 speed of beth = d / t = 25 / ( 5 / 6 ) = 25 * 6 / 5 = 30 miles per hour hence , b is the answer ." + }, + { + "Answer": 0.65, + "Options": "a ) 8 / 17 , b ) 7 / 15 , c ) 3 / 15 , d ) 8 / 15 , e ) 13 / 20", + "Correct": "e", + "Explanation": "\"person ( a ) ( b ) ( a + b ) time - ( 15 ) ( 20 ) ( - ) rate - ( 20 ) ( 15 ) ( 35 ) work - ( 300 ) ( 300 ) ( 300 ) therefore a + b requires ( 300 / 35 ) days to complete entire work for 1 st 4 days they work 35 * 3 = 105 remaining work is 300 - 105 = 195 remaining fraction of work is = 195 / 300 = 13 / 20 answer e\"" + }, + { + "Answer": 2.181818181818182, + "Options": "a ) 15 / 4 , b ) 18 / 7 , c ) 21 / 8 , d ) 24 / 11 , e ) 28 / 13", + "Correct": "d", + "Explanation": "\"the combined rate is 1 / 4 + 1 / 12 + 1 / 8 = 11 / 24 of the job per hour . the time to complete the job is 24 / 11 hours . the answer is d .\"" + }, + { + "Answer": 2.9999999999999996, + "Options": "a ) 4 minutes , b ) 32 / 7 minutes , c ) 192 / 7 minutes , d ) 3 minutes , e ) 28 minutes", + "Correct": "d", + "Explanation": "\"pipe a can fill a tank in 24 minutes - - > the rate of a = 1 / 24 tank / minute ; pipe b can fill the same tank 6 times fasterthan pipe a - - > the rate of b = 1 / 24 + 6 / 24 = 7 / 24 tank / minute . their combined rate = 1 / 24 + 7 / 24 = 1 / 3 tank / minute ; therefore , a and b can fill the tank in 3 minutes . answer : d\"" + }, + { + "Answer": 224, + "Options": "a ) 200 km , b ) 222 km , c ) 224 km , d ) 248 km , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : let time taken to travel the first half = x hr then time taken to travel the second half = ( 10 - x ) hr distance covered in the the first half = 21 x [ because , distance = time * speed ] distance covered in the the second half = 24 ( 10 - x ) distance covered in the the first half = distance covered in the the second half so , 21 x = 24 ( 10 - x ) = > 45 x = 240 = > x = 16 / 3 total distance = 2 * 21 ( 16 / 3 ) = 224 km [ multiplied by 2 as 21 x was distance of half way ] option c\"" + }, + { + "Answer": 19.017288444040037, + "Options": "a ) 22 , b ) 28 , c ) 19 , d ) 12 , e ) 88", + "Correct": "c", + "Explanation": "\"2 * 22 / 7 * 14 * x = 1672 = > x = 19 answer : c\"" + }, + { + "Answer": 9.99920006399488, + "Options": "a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", + "Correct": "c", + "Explanation": "speed of the boat downstream = 120 + 60 = 180 kmph = 180 * 5 / 18 = 50 m / s hence time taken to cover 500 m = 500 / 50 = 10 seconds . answer : c" + }, + { + "Answer": 90, + "Options": "a ) 287 , b ) 279 , c ) 90 , d ) 278 , e ) 379", + "Correct": "c", + "Explanation": "\"when the second train leaves mumbai the first train covers 45 * 1 = 45 km so , the distance between first train and second train is 45 km at 10.00 am time taken by the trains to meet = distance / relative speed = 45 / ( 90 - 45 ) = 1 hours so , the two trains meet at 2 p . m . the two trains meet 1 * 90 = 90 km away from mumbai . answer : c\"" + }, + { + "Answer": 43200, + "Options": "a ) 480 , b ) 2,880 , c ) 4,800 , d ) 28,800 , e ) 43,200", + "Correct": "e", + "Explanation": "\"seconds in 1 hours : 60 s in 1 min 60 min in 1 hr 60 * 60 = 3600 sec in 1 hr 12 * 3600 = 43,200 answer : e\"" + }, + { + "Answer": 4, + "Options": "a ) 10 , b ) 6 , c ) 4 , d ) 7 , e ) 5", + "Correct": "c", + "Explanation": "\"required number of machines = 16 * 10 / 40 = 4 answer is c\"" + }, + { + "Answer": 350, + "Options": "a ) 350 m , b ) 278 m , c ) 876 m , d ) 150 m , e ) 267 m", + "Correct": "a", + "Explanation": "\"speed = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec length of the train = ( speed x time ) = ( 50 / 3 * 21 ) m = 350 m . answer : a\"" + }, + { + "Answer": 124, + "Options": "a ) 112 , b ) 118 , c ) 121 , d ) 124 , e ) none of these", + "Correct": "d", + "Explanation": "explanation : let , there are x first class ticket and ( 18 - x ) second class tickets . then , 110 = 10 x + 3 ( 18 \u2212 x ) . = > 110 = 10 x + 54 \u2212 3 x . = > 7 x = 56 . = > x = 8 . if the number of the first class and second class tickets are interchanged , then the total cost would be 10 \u00d7 10 + 3 \u00d7 8 = 124 . answer : d" + }, + { + "Answer": 250, + "Options": "a ) 150 , b ) 180 , c ) 250 , d ) 200 , e ) 225", + "Correct": "c", + "Explanation": "\"speed = 90 * ( 5 / 18 ) m / sec = 25 m / sec length of train ( distance ) = speed * time 25 * 10 = 250 meter answer : c\"" + }, + { + "Answer": 10, + "Options": "a ) 8 , b ) 10 , c ) 15 , d ) 17 , e ) 19", + "Correct": "b", + "Explanation": "30 * 25 = 750 425 - - - - - - - - - - - 325 25 + 7.50 = 32.5 325 / 32.5 = 10 b" + }, + { + "Answer": 35, + "Options": "a ) 25 min , b ) 32 min , c ) 33 min , d ) 34 min , e ) 35 min", + "Correct": "e", + "Explanation": "at start one person will tell to 2 persons , it will take 5 min , now that 1 + 2 = 3 persons will tell this to next 6 persons , then 1 + 2 + 6 = 9 persons will tell to next 18 persons , then 1 + 2 + 6 + 18 = 27 persons to 54 similarly 1 + 2 + 6 + 18 + 54 = 81 persons will tell this to 162 persons similarly 1 + 2 + 6 + 18 + 54 + 162 = 243 persons will tell this to 486 persons , upto this step total persons who have listened this secret = 2 + 6 + 18 + 54 + 162 + 486 = 728 , and total time taken upto this step = 5 * 6 = 30 min , now next 5 min will be sufficient to tell this message to next 40 persons so total time taken = 35 min answer : e" + }, + { + "Answer": 2.7497800175985923, + "Options": "a ) 2.35 sec , b ) 2.85 sec , c ) 7.5 sec , d ) 2.75 sec , e ) 1.5 sec", + "Correct": "d", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 110 / 40 = 2.75 sec . answer : d\"" + }, + { + "Answer": 36, + "Options": "a ) 12 , b ) 24 , c ) 36 , d ) 48 , e ) 38", + "Correct": "c", + "Explanation": "sol . let the speed of each train be x m / sec . then , relative speed of the two trains = 2 x m / sec . so , 2 x = ( 120 + 120 ) / 12 \u21d4 2 x = 20 \u21d4 x = 10 . \u2234 speed of each train = 10 m / sec = [ 10 * 18 / 5 ] km / hr = 36 km / hr . answer c" + }, + { + "Answer": 40, + "Options": "a ) 24 , b ) 40 , c ) 44 , d ) 54 , e ) 64", + "Correct": "b", + "Explanation": "\"the product of two integers is equal to the product of their lcm and gcf . hence . 14 \u00d7 n = 56 \u00d7 10 n = 56 \u00d7 10 / 14 = 40 correct answer b\"" + }, + { + "Answer": 3, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 8", + "Correct": "c", + "Explanation": "3 people can do the work one time in one day . 1 person can do 1 / 3 of the work in one day . 5 people can do 5 / 3 of the work in one day . 5 people can do 5 times the work in 3 days . the answer is c ." + }, + { + "Answer": 94.5, + "Options": "a ) rs . 55.50 , b ) rs . 67.50 , c ) rs . 86.50 , d ) rs . 94.50 , e ) none of these", + "Correct": "d", + "Explanation": "\"solution let length = ( 3 x ) metres and breadth = ( 4 x ) metres . then , 3 x \u00d7 4 x = 8748 \u21d4 12 x 2 = 8748 \u21d4 x 2 = 729 \u21d4 x = 27 . so , length = 81 m and breadth = 108 m . perimeter = [ 2 ( 81 + 108 ) ] m = 378 m . \u2234 cost of fencing = rs . ( 0.25 \u00d7 378 ) = rs . 94.50 . answer d\"" + }, + { + "Answer": 40, + "Options": "a ) 18 days , b ) 38 days , c ) 40 days , d ) 48 days , e ) 50 days", + "Correct": "c", + "Explanation": "\"10 * 80 = 20 * x x = 40 days answer : c\"" + }, + { + "Answer": 128, + "Options": "a ) 128 , b ) 140 , c ) 123 , d ) 110 , e ) 150", + "Correct": "a", + "Explanation": "\"sp of 1 m of cloth = 8400 / 60 = rs . 140 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 140 - rs . 12 = rs . 128 . answer : a\"" + }, + { + "Answer": 24, + "Options": "a ) 12 kms , b ) 16 kms , c ) 20 kms , d ) 24 kms , e ) none of above", + "Correct": "d", + "Explanation": "let distance be d 10 = d / 4 + d / 6 answer : d" + }, + { + "Answer": 80, + "Options": "a ) 90 , b ) 80 , c ) 40 , d ) 120 , e ) 70", + "Correct": "b", + "Explanation": "\"2 * 5 * 8 = 80 answer : b\"" + }, + { + "Answer": 3, + "Options": "a ) 10 , b ) 8 , c ) 3 , d ) 15 , e ) 16", + "Correct": "c", + "Explanation": "explanation : ( a + b ) 1 day work = { 1 / 21 + 1 / 28 } = 1 / 12 = 12 days is required for a & b b \u2019 s 1 day work = 1 / 28 b \u2019 s 21 days work = 21 / 28 1 - 21 / 28 = 7 / 28 - 1 / 4 1 / 4 * 12 = 3 days answer : option c" + }, + { + "Answer": 1000, + "Options": "a ) 389 m , b ) 350 m , c ) 289 m , d ) 799 m , e ) 1000 m", + "Correct": "e", + "Explanation": "speed = 300 / 9 = 100 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 39 = 100 / 3 = > x = 1000 m . answer : e" + }, + { + "Answer": 3, + "Options": "a ) 0.5 l , b ) l , c ) 1.5 l , d ) 2 l , e ) 3 l", + "Correct": "e", + "Explanation": "\"the train passes a pole in t seconds , so velocity v = l / t ( l + p ) / v = 4 t ( l + p ) / ( l / t ) = 4 t p = 3 l the answer is e .\"" + }, + { + "Answer": 0.15, + "Options": "a ) 1 / 5 , b ) 2 / 5 , c ) 3 / 10 , d ) 3 / 20 , e ) 7 / 20", + "Correct": "d", + "Explanation": "john will run farther if he runs at 5 mph and amanda runs at 4 mph or 3 mph . in this case , p ( john runs farther ) = 1 / 4 * 2 / 5 = 2 / 20 john will run farther if he runs at 4 mph and amanda runs at 3 mph . in this case , p ( john runs farther ) = 1 / 4 * 1 / 5 = 1 / 20 p ( john runs farther ) = 2 / 20 + 1 / 20 = 3 / 20 the answer is d ." + }, + { + "Answer": 192, + "Options": "a ) 138 , b ) 148 , c ) 150 , d ) 162 , e ) 192", + "Correct": "e", + "Explanation": "5 hr = 300 min . if harriet spend equal hrs on each leg she will spend 150 min on each . since speed a - b is less than speed b - a and distance on each leg is the same , time spent on a - b is more than 150 min , which mean we can eliminate ans . a , b and c . now let plug in ans . d or e and verify which one give same distance on each leg . d . t = 162 min * leg a - b - - - > d = 90.192 / 60 = 17280 / 60 * leg b - a - - - - > d = 160 * 108 / 60 = 17280 / 60 so the correct ans . ise" + }, + { + "Answer": 40, + "Options": "a ) 35 , b ) 28 , c ) 40 , d ) 44 , e ) 42", + "Correct": "c", + "Explanation": "1 . no . of coaches = 9 sqr root = 3 speed decreases by 12 12 = k * 3 k = 4 no . of coaches = 25 swr root = 5 decrease = 5 * 4 = 20 new speed = 60 - 20 = 40 c" + }, + { + "Answer": 320, + "Options": "a ) 240 meters , b ) 320 meters , c ) 420 meters , d ) 600 meters , e ) can not be determined", + "Correct": "b", + "Explanation": "\"speed of train = 72 * ( 5 / 18 ) = 20 m / s lets consider the man as a stationery point on the platform . crossing the point gives us the length of the train . lt = 20 * 18 = 360 m . crossing the platform gives us the length of trainlength of platform . l ( t + p ) = 20 * 34 = 680 m . so , length of platform = 680 - 360 = 320 m imo , answer b\"" + }, + { + "Answer": 14.666666666666671, + "Options": "a ) e 982 , b ) 27 , c ) 12 , d ) 14.6 , e ) 28", + "Correct": "d", + "Explanation": "\"explanation : t = 11 / 45 * 60 = 14.6 answer : option d\"" + }, + { + "Answer": 7, + "Options": "a ) 10 , b ) 7 , c ) 6 , d ) 12 , e ) 13", + "Correct": "b", + "Explanation": "1 man can do the work of 8 / 5 = 1.6 women equivalent of 3 * 1.6 + 5 = 9.8 women take 10 days so women needed to do the work in 14 days = [ 10 / 14 ] * 9.8 = 7 answer : b" + }, + { + "Answer": 5, + "Options": "a ) 5 hrs , b ) 10 hrs , c ) 15 hrs , d ) 20 hrs , e ) 30 hrs", + "Correct": "a", + "Explanation": "1 hour he walk 10 km he walk 50 km in = 50 / 10 * 1 = 5 hours answer is a" + }, + { + "Answer": 2111.9999999999995, + "Options": "a ) 2112 m , b ) 2704 m , c ) 2278 m , d ) 2288 m , e ) 2378 m", + "Correct": "a", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 1500 resolutions . = 1500 * 2 * 22 / 7 * 22.4 = 211200 cm = 2112 m answer : a\"" + }, + { + "Answer": 200.03999999999996, + "Options": "a ) 210 m , b ) 220 m , c ) 230 m , d ) 240 m , e ) 200 m", + "Correct": "e", + "Explanation": "relative speeds = ( 120 + 80 ) km / hr = 200 km / hr = ( 200 * 5 / 18 ) m / s = ( 500 / 9 ) m / s let length of train be xm x + 300 / 9 = 500 / 9 x = 200 ans is 200 m answer : e" + }, + { + "Answer": 280.0416, + "Options": "a ) 230 m , b ) 240 m , c ) 260 m , d ) 270 m , e ) 280 m", + "Correct": "e", + "Explanation": "\"s = 240 + x / t 72 * 5 / 18 = 240 + x / 26 x = 280 answer : e\"" + }, + { + "Answer": 216, + "Options": "a ) 216 , b ) 200 , c ) 212 , d ) 220 , e ) 210", + "Correct": "a", + "Explanation": "\"capacity of the tank = ( 18 \u00e3 \u2014 60 ) litre number of buckets required of capacity of each bucket is 17 litre = 18 \u00e3 \u2014 60 / 5 = 18 \u00e3 \u2014 12 = 216 answer is a\"" + }, + { + "Answer": 10, + "Options": "a ) 8 hr , b ) 10 hr , c ) 12 hr , d ) 9 hr , e ) 5 hr", + "Correct": "b", + "Explanation": "part filled by a in 1 hr = 1 / 30 part filled by b in 1 hr = 1 / 15 part filled by a + b = 1 / 30 + 1 / 15 = 1 / 10 both the pipes can fill the tank in = 10 hours answer is b" + }, + { + "Answer": 30.000000000000004, + "Options": "a ) 20 km / hr , b ) 30 km / hr , c ) 25 km / hr , d ) 35 km / hr , e ) 40 km / hr", + "Correct": "b", + "Explanation": "speed = dist / time = 200 / 24 200 / 24 * 18 / 5 = 40 * 3 / 4 = 30 km / hr answer b" + }, + { + "Answer": 30, + "Options": "a ) 32 mins , b ) 35 mins , c ) 40 mins , d ) 30 mins , e ) 36 mins", + "Correct": "d", + "Explanation": "the last 15 minutes only pipe b was open . since it needs 1 hour to fill the tank , then in 15 minutes it fills 1 / 4 th of the tank , thus 3 / 4 of the tank is filled with both pipes open . the combined rate of two pipes is 1 + 2 = 3 tanks / hour , therefore to fill 3 / 4 th of the tank they need ( time ) = ( work ) / ( rate ) = ( 3 / 4 ) / 3 = 1 / 4 hours = 15 minutes . total time = 15 + 15 = 30 minutes . answer : d" + }, + { + "Answer": 5, + "Options": "a ) 1 / 5 , b ) 5 / 1 , c ) 4 / 1 , d ) 1 / 4 , e ) 1 / 3", + "Correct": "b", + "Explanation": "lets say tim types x pages an hour and tom types y pages an hour . we know that x + y = 12 tom increase speed by 30 % means he will type 1.3 y pages an hour . so we get x + 1.3 y = 15 we need to know the ratio of tom ' s speed to tim ' s speed . this is going to be proportional to the number of pages each can type in an hour , hence ( y / x ) . subtracting both : 0.3 y = 3 so y = 10 . . . so x = 2 ( y / x ) = 10 / 2 = 5 / 1 answer is ( b )" + }, + { + "Answer": 6, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "a", + "Explanation": "\"solution let the required number of hours per day be x . more men , less hours per day ( indirect proportion ) less days , more hours per day ( indirect proportion ) \u2234 15 \u00d7 12 \u00d7 x = 10 \u00d7 18 \u00d7 6 \u21d4 x = 10 x 18 x 6 / 15 x 12 = x = 6 . answer a\"" + }, + { + "Answer": 45, + "Options": "a ) 45 , b ) 50 , c ) 34 , d ) 27 , e ) 11", + "Correct": "a", + "Explanation": "\"15 * 30 = 10 * x = > x = 45 days answer : a\"" + }, + { + "Answer": 16, + "Options": "a ) 4 , b ) 10 , c ) 15 , d ) 16 , e ) none", + "Correct": "d", + "Explanation": "l . c . m . of 2 , 4 , 6 , 8 , 10 , 12 is 120 . so , the bells will toll together after every 120 seconds ( 2 minutes ) . in 30 minutes , they will toll together 30 / 2 + 1 = 16 times answer d" + }, + { + "Answer": 14, + "Options": "a ) 14 , b ) 10 , c ) 12 , d ) 16 , e ) 20", + "Correct": "a", + "Explanation": "let the first number be n let the second number be n + 2 let the third number be n + 4 let the third number be n + 6 n + n + 2 + n + 4 + n + 6 = 52 combine like terms : 4 n + 12 = 52 4 n + 12 = 52 4 n = 52 - 12 4 n = 40 n = 10 n + 2 = 12 n + 4 = 14 n + 6 = 16 the third number is 14 answer : a" + }, + { + "Answer": 54, + "Options": "a ) 42 , b ) 54 , c ) 50 , d ) 54 , e ) 56", + "Correct": "b", + "Explanation": "\"t 1 = 420 / 60 = 7 hours t 2 = 120 / 40 = 3 hours t = t 1 + t 2 = 10 hours avg speed = total distance / t = 540 / 10 = 54 mph = b\"" + }, + { + "Answer": 105, + "Options": "a ) 85 , b ) 90 , c ) 95 , d ) 100 , e ) 105", + "Correct": "e", + "Explanation": "\"originally , the distance the car could go on a full tank was 15 * 28 = 420 miles . after it has been modified , the car can go 28 / 0.8 = 35 miles per gallon . on a full tank , the car can go 15 * 35 = 525 miles , thus 105 miles more . the answer is e .\"" + }, + { + "Answer": 134, + "Options": "a ) 120 m 2 , b ) 136 m 2 , c ) 128 m 2 , d ) 130 m 2 , e ) 134 m 2", + "Correct": "e", + "Explanation": "\"area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 8 x 1.50 + 10 x 1.50 ) + 8 x 10 ] m 2 = 134 m 2 . answer : e\"" + }, + { + "Answer": 60, + "Options": "a ) 40 , b ) 50 , c ) 60 , d ) 70 , e ) 80", + "Correct": "c", + "Explanation": "in 30 minutes , jim runs 3 miles . in 48 minutes , cara runs 4 miles . jim can catch cara at a rate of 1 mile per hour . since cara is ahead by 1 mile , it will take jim 1 hour = 60 minutes to catch cara . the answer is c ." + }, + { + "Answer": 3.333333333333333, + "Options": "a ) 20 / 9 , b ) 40 / 9 , c ) 50 / 9 , d ) 60 / 9 , e ) 10 / 3", + "Correct": "e", + "Explanation": "\"one day work of a = 1 / 5 one day work of b = 1 / 10 so one day work of a and b together = 1 / 5 + 1 / 10 = 3 / 10 so total days required = 10 / 3 answer : e\"" + }, + { + "Answer": 100, + "Options": "a ) 50 , b ) 99 , c ) 100 , d ) 101 , e ) 200", + "Correct": "b", + "Explanation": "note that each day the stock is worth $ 1 more than on the previous day , and that on the first day it rises to $ 102 and then falls to $ 101 . therefore , on the nth day , the stock ' s value rises to n + 101 dollars in the morning and falls to n + 100 dollars in the afternoon . the solution is therefore the smallest n for which n + 101 = 200 , or n = 99 . in particular , the stock will be $ 200 in the middle of day 99 , although not at the end of this day . correct answer b" + }, + { + "Answer": 15, + "Options": "a ) 13 hours , b ) 45 hours , c ) 15 hours , d ) 12 hours , e ) 11 hours", + "Correct": "c", + "Explanation": "if first pipe fills tank in x hrs , then second pipe fills tank in x - 5 hrs and 3 rd pipe fills tank in x - 9 hrs , then as per given condition 1 / x + 1 / ( x - 5 ) = 1 / ( x - 9 ) solving it , we get x = 15 hrs answer : c" + }, + { + "Answer": 58.15384615384615, + "Options": "a ) 77 kmph , b ) 55 kmph , c ) 54 kmph , d ) 58 kmph , e ) 76 kmph", + "Correct": "d", + "Explanation": "s = 210 / 13 * 18 / 5 = 58 kmph answer : d" + }, + { + "Answer": 60, + "Options": "a ) 56 , b ) 60 , c ) 64 , d ) 68 , e ) 72", + "Correct": "b", + "Explanation": "\"( 3 / 2 ) * 5 = 7.5 hours 450 / 7.5 = 60 kph the answer is b .\"" + }, + { + "Answer": 1260, + "Options": "a ) 80 , b ) 63 , c ) 120 , d ) 160 , e ) 1260", + "Correct": "e", + "Explanation": "\"parallelogram can formed by 2 horizontal and 2 vertical lines for horizontal 10 c 2 for vertical 8 c 2 total parallelogram is 10 c 2 * 8 c 2 = 45 * 28 = 1260 answer : e\"" + }, + { + "Answer": 14, + "Options": "a ) 10 cm , b ) 12 cm , c ) 14 cm , d ) 16 cm , e ) 18 cm", + "Correct": "c", + "Explanation": "similar triangle properties . . 2 / r + 4 = 4 / r - 4 giving r = 14 . answer : c" + }, + { + "Answer": 84.99280057595394, + "Options": "a ) 45 kmph , b ) 50 kmph , c ) 85 kmph , d ) 60 kmph , e ) 70 kmph", + "Correct": "c", + "Explanation": "\"explanation : let the speed of the train be x kmph . speed of the train relative to man = ( x + 5 ) kmph = ( x + 5 ) \u00d7 5 / 18 m / sec . therefore 150 / ( ( x + 5 ) \u00d7 5 / 18 ) = 6 < = > 30 ( x + 5 ) = 2700 < = > x = 85 speed of the train is 85 kmph . answer : option c\"" + }, + { + "Answer": 16.666666666666668, + "Options": "a ) 12.8 , b ) 12.6 , c ) 12.5 , d ) 12.2 , e ) 16.6", + "Correct": "e", + "Explanation": "\"1000 * 20 = 1200 * x x = 16.6 . answer : e\"" + }, + { + "Answer": 6.998571428571427, + "Options": "a ) 7 , b ) 7 2 / 3 , c ) 8 1 / 3 , d ) 9 , e ) 9 1 / 3", + "Correct": "a", + "Explanation": "d = 16 ( 1 / 3 ) = 49 / 3 t = 2 ( 1 / 3 ) = 7 / 3 s = d / t = 7 answer = a" + }, + { + "Answer": 77, + "Options": "a ) 70 , b ) 52 , c ) 62 , d ) 77 , e ) 79", + "Correct": "d", + "Explanation": "\"total number of players = 22 + 15 + 21 + 19 = 77 answer is d\"" + }, + { + "Answer": 20, + "Options": "a ) 23 , b ) 27 , c ) 20 , d ) 27 , e ) 11", + "Correct": "c", + "Explanation": "\"16 * 25 = 20 * x = > x = 20 days answer : c\"" + }, + { + "Answer": 210, + "Options": "a ) 210 km , b ) 240 km , c ) 220 km , d ) 180 km , e ) 190 km", + "Correct": "a", + "Explanation": "in first 3 hours t 1 travels r km and t 2 travels s km . after 6 hours they traveled r + s + 70 + 700 2 ( r + s ) = r + s + 140 r + s = 140 hence distance between xy is r + s + 70 = 140 + 70 = 210 answer : a" + }, + { + "Answer": 31, + "Options": "a ) 30 litres , b ) 31 litres , c ) 32 litres , d ) 33 litres , e ) 34 litres", + "Correct": "b", + "Explanation": "403 ) 713 ( 1 403 - - - - - - - - - 310 ) 403 ( 1 310 - - - - - - - - - - 93 ) 310 ( 3 279 - - - - - - - - 31 ) 93 ( 3 93 - - - - - - - x so answer is 31 litres . . . . . . answer : b" + }, + { + "Answer": 9, + "Options": "a ) 10 days , b ) 9 days , c ) 8 days , d ) 7 days , e ) 6 days", + "Correct": "b", + "Explanation": "total work 12 * 18 = 216 units after 6 days work finished 6 * 12 = 72 units remaining work 216 - 72 = 144 units remaing days = 144 ( 12 + 4 ) = 9 days answer : b" + }, + { + "Answer": 937.1428571428571, + "Options": "a ) 914.2 hours , b ) 937.1 hours , c ) 915 hours , d ) 905 hours , e ) 915 hours", + "Correct": "b", + "Explanation": "\"explanation : speed downstream = ( 16 + 2 ) = 18 kmph speed upstream = ( 16 - 2 ) = 14 kmph total time taken = 7380 / 18 + 7380 / 14 = 410 + 527.1 = 937.1 hours answer : option b\"" + }, + { + "Answer": 100, + "Options": "a ) 100 meter , b ) 170 meter , c ) 156 meter , d ) 168 meter , e ) 154 meter", + "Correct": "a", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 6 = 100 meter answer : a\"" + }, + { + "Answer": 24, + "Options": "a ) 36 , b ) 42 , c ) 24 , d ) 54 , e ) 45", + "Correct": "c", + "Explanation": "\"a \u2019 s one day \u2019 s work = 1 / x b \u2019 s one day \u2019 s work = 1 / 3 x a + b \u2019 s one day \u2019 s work = 1 / x + 1 / 3 x = 1 / 18 = 3 + 1 / 3 x = 4 / 3 x = 1 / 18 x = 18 * 4 / 3 = 24 answer : c\"" + }, + { + "Answer": 680, + "Options": "a ) 575 toys , b ) 375 toys , c ) 680 toys , d ) 475 toys , e ) 675 toys", + "Correct": "c", + "Explanation": "\"to find the number of toys produced every day , we divide the total number of toys produced in one week ( of 5 days ) by 5 . 3400 / 5 = 680 toys correct answer c\"" + }, + { + "Answer": 3, + "Options": "a ) 1 : 2 , b ) 2 : 5 , c ) 6 ' ' 2 , d ) 3 : 1 , e ) 4 : 7", + "Correct": "d", + "Explanation": "explanation : let speed upstream = x hen , speed downstream = 2 x speed in still water = 2 x + x / 2 speed of the stream = 2 x - x / 2 speed in still water : speed of the stream = 3 x / 2 : x / 2 = 3 : 1 answer : d" + }, + { + "Answer": 304, + "Options": "a ) 212 , b ) 256 , c ) 304 , d ) 372 , e ) 460", + "Correct": "c", + "Explanation": "\"38 / 4 = 9.5 gallons 9.5 * 32 = 304 miles the answer is c .\"" + }, + { + "Answer": 2250, + "Options": "['a ) 2150', 'b ) 2250', 'c ) 2350', 'd ) 2850', 'e ) 3250']", + "Correct": "b", + "Explanation": "volume of cuboid = 5 * 6 * 7 = 210 m 3 volume of inner cuboid = ( 5 - 1 ) * ( 6 - 1 ) * ( 7 - 1 ) = 120 m 3 therefore , volume of hollow cuboid = 210 - 120 = 90 m 3 no of cubes required = 90 / . 04 = 2250 cubes answer : b" + }, + { + "Answer": 10, + "Options": "a ) 1 min , b ) 4 min , c ) 6 min , d ) 10 min , e ) 25 min", + "Correct": "d", + "Explanation": "\"required time = 10 * 2 * 1 / 2 = 10 minutes answer is d\"" + }, + { + "Answer": 10, + "Options": "a ) 5 , b ) 8 , c ) 7 , d ) 10 , e ) 15", + "Correct": "d", + "Explanation": "\"son ' s 1 day work = 1 / 5 - 1 / 10 = 1 / 10 son alone can do the work in 10 days answer is d\"" + }, + { + "Answer": 35.999999999999986, + "Options": "a ) 36 days , b ) 32 days , c ) 34 days , d ) 42 days , e ) 49 days", + "Correct": "a", + "Explanation": "\"explanation : ( 1 man + 1 woman + 1 boy ) \u2019 s 1 day \u2019 s work = 1 / 4 1 man \u2019 s 1 day work = 1 / 6 1 boy \u2019 s 1 day \u2019 s work = 1 / 18 ( 1 man + 1 boy ) \u2018 s 1 day \u2019 s work = 1 / 6 + 1 / 18 = 2 / 9 therefore , 1 woman \u2019 s 1 day \u2019 s work = 1 / 4 \u2013 2 / 9 = 1 / 36 therefore , the woman alone can finish the work in 36 days . answer : option a\"" + }, + { + "Answer": 6, + "Options": "a ) 2 , b ) 6 , c ) 9 , d ) 11 , e ) 12", + "Correct": "b", + "Explanation": "adding the digits in unit ' s place , 2 + 7 + b = 10 ( since a and b are positive single digits ) = > b = 1 now adding the digits in ten ' s place , 8 + a + 6 + 1 = 19 ( 1 has been carried over from unit ' s place addition ) = > a = 4 a + 2 b = 4 + 2 * 1 = 6 answer b" + }, + { + "Answer": 300, + "Options": "a ) 298 km , b ) 278 km , c ) 278 km , d ) 300 km , e ) 267 km", + "Correct": "d", + "Explanation": "\"let the distance travelled be x km . total time = ( x / 2 ) / 30 + ( x / 2 ) / 25 = 11 = > x / 60 + x / 50 = 11 = > ( 5 x + 6 x ) / 300 = 11 = > x = 300 km answer : d\"" + }, + { + "Answer": 9.600000000000001, + "Options": "a ) 9.2 , b ) 10.2 , c ) 9.8 , d ) 9.6 , e ) 10.0", + "Correct": "d", + "Explanation": "\"speed downstream = ( 20 + 4 ) = 24 kmph time = 24 minutes = 24 / 60 hour = 2 / 5 hour distance travelled = time \u00d7 speed = 2 / 5 \u00d7 24 = 9.6 km answer is d .\"" + }, + { + "Answer": 4, + "Options": "a ) 3 , b ) 3.5 , c ) 4 , d ) 4.5 , e ) 5", + "Correct": "c", + "Explanation": "the speed of the first car is 100 km / h . the speed of the second car is 100 / 1.25 = 80 km / h . the two cars complete a total of 180 km each hour . the time it takes the cars to meet is 720 / 180 = 4 hours . the answer is c ." + }, + { + "Answer": 5, + "Options": "a ) 6 m , b ) 5 m , c ) 4 m , d ) 3 m , e ) none of the above", + "Correct": "b", + "Explanation": "sol . let the length of the tiger be x metres and its speed be y m / sec . then , x / y = 1 \u21d2 y = x \u2234 ( x + 20 ) / 5 = x \u21d4 x = 5 m . answer b" + }, + { + "Answer": 6, + "Options": "a ) 8 , b ) 9 , c ) 6 , d ) 2 , e ) 1", + "Correct": "c", + "Explanation": "explanation : solution : it is given that 5 / 8 th of the work is completed in 10 days . = > remaining work = 3 / 8 th of total applying unitary method : total work will be completed in 10 * 8 / 5 days = > it takes 16 days to complete total work = > hence , remaining work days = 16 - 10 = 6 days answer : c" + }, + { + "Answer": 400, + "Options": "a ) 396 m , b ) 267 m , c ) 180 m , d ) 200 m , e ) 250 m", + "Correct": "a", + "Explanation": "\"speed = 120 kmph = 120 * 5 / 18 = 33 m / s distance covered in 12 sec = 33 * 12 = 396 m answer is a\"" + }, + { + "Answer": 360, + "Options": "a ) 270 , b ) 300 , c ) 330 , d ) 360 , e ) 390", + "Correct": "d", + "Explanation": "\"the relative speed of jack and christina is 5 + 7 = 12 feet per second . the distance between them is 210 feet , hence they will meet in ( time ) = ( distance ) / ( relative speed ) = 360 / 12 = 30 seconds . for all this time lindy was running back and forth , so it covered ( distance ) = ( speed ) * ( time ) = 12 * 30 = 360 feet . answer : d .\"" + }, + { + "Answer": 135, + "Options": "a ) 150 meter , b ) 299 meter , c ) 135 meter , d ) 155 meter , e ) 144 meter", + "Correct": "c", + "Explanation": "\"speed = 54 * ( 5 / 18 ) m / sec = 15 m / sec length of train ( distance ) = speed * time ( 15 ) * 9 = 135 meter answer : c\"" + }, + { + "Answer": 42.857142857142854, + "Options": "a ) 43 , b ) 44 , c ) 45 , d ) 46 , e ) 47", + "Correct": "a", + "Explanation": "$ 7 * 40 + $ 12 * x = $ 320 - - > x = 3 hours . total working hours = 40 + 3 = 43 . answer : a ." + }, + { + "Answer": 10, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 10", + "Correct": "e", + "Explanation": "\"total distance = 94 kms maxwell speed = 4 kms / hr maxwell travelled for 1 hour before brad started , therefore maxwell traveled for 4 kms in 1 hour . time taken = total distance / relative speed total distance after brad started = 90 kms relative speed ( opposite side ) ( as they are moving towards each other speed would be added ) = 6 + 4 = 10 kms / hr time taken to meet brad after brad started = 90 / 10 = 9 hrs distance traveled by maxwell = maxwell ' s speed * time taken = 4 * 9 = 36 + 4 = 40 kms . . . therefore total time taken by maxwell to meet brad = distance travelled by maxwell / maxwell ' s speed = 40 / 4 = 10 hrs . . . answer e\"" + }, + { + "Answer": 10, + "Options": "a ) 16 , b ) 17 , c ) 15 , d ) 10 , e ) 12", + "Correct": "d", + "Explanation": "\"t = 8 / 48 * 60 = 10 answer : d\"" + }, + { + "Answer": 629.9999999999998, + "Options": "a ) 450 min , b ) 540 min , c ) 630 min , d ) 360 min , e ) none of these", + "Correct": "c", + "Explanation": "let the distance between home and school is x . let actual time to reach be t . thus , x / 5 = t + 6 - - - - ( 1 ) and x / 7 = t - 30 - - - - - ( 2 ) solving equation 1 and 2 x = 630 min answer : c" + }, + { + "Answer": 20, + "Options": "a ) 12 , b ) 20 , c ) 88 , d ) 77 , e ) 14", + "Correct": "b", + "Explanation": "\"1 : 2 / 5 = 5 : 2 2 / 7 * 70 = 20 answer : b\"" + }, + { + "Answer": 80, + "Options": "a ) 50 kmph , b ) 60 kmph , c ) 70 kmph , d ) 80 kmph , e ) 85 kmph", + "Correct": "d", + "Explanation": "\"120 * 40 / 60 = 80 kmph answer : d\"" + }, + { + "Answer": 540, + "Options": "a ) 270 , b ) 540 , c ) 610 , d ) 510 , e ) 500", + "Correct": "b", + "Explanation": "no . of letters typing by 25 typists in 20 minutes = 60 no . of letters typing by 25 typists in 60 minutes = 60 * 3 = 180 no . of letters typing by 75 typists in 60 minutes = 180 / 25 * 75 = 540 answer : b" + }, + { + "Answer": 3, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "c", + "Explanation": "the total time of journey = 5 hours . let ' x ' hours be the time that i travelled at 40 kmph therefore , 5 \u2013 x hours would be time that i travelled at 60 kmph . hence , i would have covered x \u00d7 40 + ( 5 \u2212 x ) 60 kms in the 5 hours = 240 kms . solving , for x in the equation 40 x + ( 5 \u2013 x ) \u00d7 60 = 240 , we get 40 x + 300 \u2013 60 x = 240 \u21d2 20 x = 60 or x = 3 hours answer : c" + }, + { + "Answer": 4, + "Options": "a ) 1 minutes , b ) 2 minutes , c ) 3 minutes , d ) 4 minutes , e ) 5 minutes", + "Correct": "d", + "Explanation": "\"it will take 4 minutes for 100 cats to kill 100 rats . 1 cat can kill 1 rat in 4 minutes , so 100 cats can kill 100 rats in 4 minutes answer d\"" + }, + { + "Answer": 24.9980001599872, + "Options": "a ) 25 , b ) 30 , c ) 99 , d ) 88 , e ) 61", + "Correct": "a", + "Explanation": "\"speed of train relative to man = 75 - 3 = 72 km / hr . = 72 * 5 / 18 = 20 m / sec . time taken to pass the man = 500 * 1 / 20 = 25 sec . answer : a\"" + }, + { + "Answer": 10, + "Options": "a ) 8 , b ) 10 , c ) 12 , d ) 16 , e ) 20", + "Correct": "b", + "Explanation": "in such questions , you need to start from the end . last 5 days john works alone and completes 5 * ( 1 / 20 ) = 1 / 4 of the work . so 3 / 4 of the work should have been completed by the two of them together before jane left . their combined rate of work is 1 / 20 + 1 / 10 = 3 / 20 time taken to complete 3 / 4 of the work = ( 3 / 4 ) / ( 3 / 20 ) = 5 days . so total number of days taken to complete the work = 5 + 5 = 10 days . b" + }, + { + "Answer": 72, + "Options": "a ) 72 kmph , b ) 88 kmph , c ) 54 kmph , d ) 18 kmph , e ) 19 kmph", + "Correct": "a", + "Explanation": "\"s = 120 / 6 * 18 / 5 = 72 kmph answer : a\"" + }, + { + "Answer": 15, + "Options": "a ) 16 sec , b ) 12 sec , c ) 17 sec , d ) 15 sec , e ) 23 sec", + "Correct": "d", + "Explanation": "\"speed of the first train = 120 / 12 = 10 m / sec . speed of the second train = 120 / 20 = 6 m / sec . relative speed = 10 + 6 = 16 m / sec . required time = ( 120 + 120 ) / 16 = 15 sec . answer : d\"" + }, + { + "Answer": 2.4, + "Options": "a ) 2 km , b ) 2.4 km , c ) 2.5 km , d ) 3.4 km , e ) none", + "Correct": "b", + "Explanation": "\"sol . speed downstream = ( 5 + 1 ) kmph = 6 kmph ; speed upstream = ( 5 - 1 ) kmph = 4 kmph . let the required distance be x km . then , x / 6 + x / 4 = 1 \u21d4 2 x + 3 x = 12 \u21d4 5 x = 12 \u21d4 x = 2.4 km . answer b\"" + }, + { + "Answer": 121.5, + "Options": "a ) 142 m sqaure , b ) 122 m sqaure , c ) 135 m sqaure , d ) 188 m sqaure , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : area of the wet surface = 2 [ lb + bh + hl ] - lb = 2 [ bh + hl ] + lb = 2 [ ( 6 * 2.25 + 9 * 2.25 ) ] + 9 * 6 = 122 m square option b\"" + }, + { + "Answer": 7, + "Options": "a ) 5 days , b ) 7 days , c ) 8 days , d ) 9 days , e ) 11 days", + "Correct": "b", + "Explanation": "1 woman ' s 1 day ' s work = 1 / 70 1 child ' s 1 day ' s work = 1 / 140 5 women and 10 children 1 day work = ( 5 / 70 + 10 / 140 ) = 1 / 7 so 5 women and 10 children will finish the work in 7 days . b )" + }, + { + "Answer": 25000, + "Options": "a ) 24000 , b ) 23000 , c ) 22000 , d ) 25000 , e ) 26000", + "Correct": "d", + "Explanation": "\"25 * 2 * 0.75 = 20 / 100 * 10 / 100 * 7.5 / 100 * x 25 = 1 / 100 * x = > x = 25000 answer : d\"" + }, + { + "Answer": 1000000, + "Options": "a ) 9800000 , b ) 1000000 , c ) 7500000 , d ) 1200000 , e ) none of these", + "Correct": "b", + "Explanation": "explanation : number = ( 800 * 700 * 600 ) / 8 * 7 * 6 = 1000000 answer : b" + }, + { + "Answer": 15, + "Options": "a ) 8 hours , b ) 6 hours , c ) 4 hours , d ) 15 hours , e ) 6 hours", + "Correct": "d", + "Explanation": "\"still water = 12 km / hr downstream = 60 / 3 = 20 km / hr upstream = > > still water = ( u + v / 2 ) = > > 12 = u + 20 / 2 = 4 km / hr so time taken in upstream = 60 / 4 = 15 hrs answer : d\"" + }, + { + "Answer": 2, + "Options": "a ) 1 hr , b ) 2 hr , c ) 1.5 hr , d ) 2.5 hr , e ) 3 hr", + "Correct": "b", + "Explanation": "explanation : ratio of speeds = 3 : 4 distance remaining constant , the ratio of time taken = 4 : 3 a takes 0.5 hours more than bhence time taken by a = 4 \u00d7 0.5 = 2 hour answer : b" + }, + { + "Answer": 32, + "Options": "a ) 36 , b ) 42 , c ) 28 , d ) 32 , e ) 45", + "Correct": "d", + "Explanation": "\"a \u2019 s one day \u2019 s work = 1 / x b \u2019 s one day \u2019 s work = 1 / 3 x a + b \u2019 s one day \u2019 s work = 1 / x + 1 / 3 x = 1 / 24 = 3 + 1 / 3 x = 4 / 3 x = 1 / 24 x = 24 * 4 / 3 = 32 answer : d\"" + }, + { + "Answer": 64, + "Options": "a ) 32 , b ) 28 , c ) 49 , d ) 64 , e ) 21", + "Correct": "d", + "Explanation": "\"s = ( 500 + 300 ) / 45 = 800 / 45 * 18 / 5 = 64 answer : d\"" + }, + { + "Answer": 7, + "Options": "a ) 5 kmph , b ) 6 kmph , c ) 6.25 kmph , d ) 7 kmph , e ) 7.8 kmph", + "Correct": "d", + "Explanation": "\"let abhay ' s speed be x km / hr . then , 42 / x - 42 / 2 x = 3 6 x = 42 x = 7 km / hr . answer : option d\"" + }, + { + "Answer": 235, + "Options": "a ) 328 , b ) 279 , c ) 235 , d ) 288 , e ) 211", + "Correct": "c", + "Explanation": "speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 140 + x ) / 30 = 25 / 2 = = > 2 ( 140 + x ) = 750 = = > x = 235 m . answer : c" + }, + { + "Answer": 960, + "Options": "a ) 960 km , b ) 224 km , c ) 230 km , d ) 232 km , e ) 234 km", + "Correct": "a", + "Explanation": "\"0.5 x / 20 + 0.5 x / 30 = 40 - - > x / 20 + x / 30 = 80 - - > 5 x = 60 x 80 - - > x = ( 60 x 80 ) / 5 = 960 km . answer : a\"" + }, + { + "Answer": 25, + "Options": "a ) 65 , b ) 86 , c ) 30 , d ) 78 , e ) 25", + "Correct": "e", + "Explanation": "\"us = 15 ds = 35 m = ( 35 + 15 ) / 2 = 25 answer : e\"" + }, + { + "Answer": 1500, + "Options": "a ) 2574 , b ) 2500 , c ) 1500 , d ) 1574 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : hcf * lcm = 82500 , because we know product of two numbers = product of hcf and lcm lcm = 82500 / 55 = 1500 option c\"" + }, + { + "Answer": 4.5, + "Options": "a ) 8 mph , b ) 5.25 mph , c ) 3.5 mph , d ) 4.5 mph , e ) 0.5 mph", + "Correct": "d", + "Explanation": "\"( 1 mph + 8 mph ) / 2 = 4.5 mph correct option is : d\"" + }, + { + "Answer": 4.800000000000001, + "Options": "a ) 40 days , b ) 24 / 5 days , c ) 39 / 9 days , d ) 30 / 9 days , e ) 60 / 9 days", + "Correct": "b", + "Explanation": "\"a ' s one hour work = 1 / 8 . b ' s one hour work = 1 / 12 . ( a + b ) ' s one hour work = 1 / 8 + 1 / 12 = 5 / 24 . both a & b can finish the work in 24 / 5 days b\"" + }, + { + "Answer": 230.03999999999996, + "Options": "a ) 230 , b ) 200 , c ) 250 , d ) 300 , e ) 500", + "Correct": "a", + "Explanation": "\"answer : option a explanation : relative speed = 120 + 80 = 200 km / hr . = 200 * 5 / 18 = 500 / 9 m / sec . let the length of the other train be x m . then , ( x + 270 ) / 9 = 500 / 9 = > x = 230 . answer a\"" + }, + { + "Answer": 7.199424046076314, + "Options": "a ) 3 , b ) 5 , c ) 4 , d ) 6.4 , e ) 7.2", + "Correct": "e", + "Explanation": "\"t = 80 / 40 * 18 / 5 = 7.2 sec answer : e\"" + }, + { + "Answer": 5, + "Options": "a ) 1 , b ) 3 , c ) 5 , d ) 4 , e ) 2", + "Correct": "c", + "Explanation": "p - - > pump , l - - - > leak pipe - - - - - - - - - - p - - - - - - - - - l - - - - - - - - - - - - ( p - l ) - - time - - - - - - - - - 4 - - - - - - - - - x - - - - - - - - - - - - - 20 * rate - - - - - - - - - 5 - - - - - - - - - x - - - - - - - - - - - - - 1 work - - - - - - - 20 - - - - - - - - - 20 - - - - - - - - - - - 20 time required to empty the tank if leakage present = 20 / ( ( 5 ) - 1 ) = ( 20 ) / ( 4 ) = 5 ans - c" + }, + { + "Answer": 5, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 5 , e ) 13", + "Correct": "d", + "Explanation": "\"one monkey takes 5 min to eat 1 banana , so in 15 mins 1 monkey will eat 3 bananas , so for 15 bananas in 15 min we need 15 / 3 = 5 monkeys answer : d\"" + }, + { + "Answer": 0.42857142857142855, + "Options": "a ) 3 / 7 , b ) 3 / 10 , c ) 3 / 18 , d ) 3 / 16 , e ) 3 / 11", + "Correct": "a", + "Explanation": "\"3 m + 8 w = 6 m + 2 w 3 m = 6 w 1 m = 2 w therefore 3 m + 8 w = 14 w 2 m + 2 w = 6 w answer is 6 / 14 = 3 / 7 answer : a\"" + }, + { + "Answer": 283.46456692913387, + "Options": "a ) 174.2 , b ) 212 , c ) 283 , d ) 296 , e ) 282.4", + "Correct": "c", + "Explanation": "\"1.5 inch = 2.54 * 1.5 cm . so , 2.54 * 1.5 represents 24 miles . so for 45 cm . : 45 / ( 2.54 * 1.5 ) = x / 24 - - - > x = 24 * 45 / ( 3.81 ) = 283 answer will be c .\"" + }, + { + "Answer": 5, + "Options": "a ) 3 days , b ) 4 days , c ) 5 days , d ) 6 days , e ) 7 days", + "Correct": "c", + "Explanation": "if a labour worked for 25 days he should get 50 rs . but in this he is getting 13 rs less . if he do n ' t go for work for 1 day he will loose 2.5 rs then no of days ( absent ) = 13 / 2.5 = 5.2 . means he was absent for 5 days answer : c" + }, + { + "Answer": 90.0000000000001, + "Options": "a ) 76 hrs , b ) 99 hrs , c ) 55 hrs , d ) 90 hrs , e ) 11 hrs", + "Correct": "d", + "Explanation": "\"1 / 9 - 1 / x = 1 / 10 = > 90 hrs answer : d\"" + }, + { + "Answer": 49, + "Options": "a ) 40 m , b ) 44 m , c ) 47 m , d ) 49 m , e ) 50 m", + "Correct": "d", + "Explanation": "explanation : let the required length be x metres more men , more length built ( direct proportion ) less days , less length built ( direct proportion ) men 20 : 35 days 6 : 3 : : 56 : x therefore ( 20 x 6 x x ) = ( 35 x 3 x 56 ) x = ( 35 x 3 x 56 ) / 120 = 49 hence , the required length is 49 m . answer : d" + }, + { + "Answer": 5.80598713393251, + "Options": "a ) 4.8 sec , b ) 5.9 sec , c ) 5.0 sec , d ) 5.4 sec , e ) 5.8 sec", + "Correct": "e", + "Explanation": "\"solution speed = ( 124 x 5 / 18 ) m / sec = 34.44 m / sec time taken = ( 200 / 34.44 ) sec = 5.8 sec . answer e\"" + }, + { + "Answer": 13.636363636363637, + "Options": "a ) 7.25 , b ) 9.47 , c ) 11.58 , d ) 13.64 , e ) 15.92", + "Correct": "d", + "Explanation": "\"80 feet / 4 seconds = 20 feet / second ( 20 feet / second ) * ( 3600 seconds / hour ) * ( 1 mile / 5280 feet ) = 13.64 miles / hour ( approximately ) the answer is d .\"" + }, + { + "Answer": 18, + "Options": "a ) 12 , b ) 15 , c ) 17 , d ) t = 18 , e ) 20", + "Correct": "d", + "Explanation": "\"since we are concerned with integers between 1 and 20 , write down the primes till 40 . 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 ( you should be very comfortable with the first few primes . . . ) 2 , 3 , 5 , 7 , 11,12 , 13 , 17 , 19 , 23 , 29 , 31 , 37 - three pairs ( 11,13 ) , ( 7,17 ) , ( 5 , 19 ) 2 , 3 , 5 , 7 , 11 , 13 , 15,17 , 19 , 23 , 29 , 31 , 37 - three pairs ( 13 , 17 ) , ( 11 , 19 ) , ( 7 , 23 ) 2 , 3 , 5 , 7 , 11 , 13,17 , 19 , 23 , 29 , 31 , 37 - three pairs ( 11 , 23 ) , ( 5 , 29 ) , ( 3 , 31 ) 2 , 3 , 5 , 7 , 11 , 13 , 17 , 18,19 , 23 , 29 , 31 , 37 - four pairs ( 17 , 19 ) , ( 13 , 23 ) , ( 7 , 29 ) , ( 5 , 31 ) 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 20,23 , 29 , 31 , 37 - definitely can not be more than 4 since there are only 4 primes more than 20 . so must be less than 4 pairs . ignore . answer ( d ) .\"" + }, + { + "Answer": 36, + "Options": "a ) 23 , b ) 27 , c ) 36 , d ) 27 , e ) 11", + "Correct": "c", + "Explanation": "\"12 * 30 = 10 * x = > x = 36 days answer : c\"" + }, + { + "Answer": 21, + "Options": "a ) 10 , b ) 20 , c ) 21 , d ) 25 , e ) 27", + "Correct": "c", + "Explanation": "\"as a : b : : 7 : 5 - - - > only option c is a multiple of 7 and hence it is a good place to start . also a : b : : 7 : 5 means that , a = ( 712 ) * total and b = ( 5 / 12 ) * total if a = 21 , b = 15 - - - > remove 9 litres - - - > you remove ( 7 / 12 ) * 9 of a - - - > a remaining = 21 - ( 7 / 12 ) * 9 = 63 / 4 similarly , for b , you remove ( 5 / 12 ) * 9 - - - > b remaining = 15 - ( 5 / 12 ) * 9 = 45 / 4 and then add 9 more litres of b - - - > 9 + 45 / 4 = 81 / 4 thus a / b ( final ratio ) = ( 45 / 4 ) / ( 81 / 4 ) = 7 : 9 , the same as the final ratio mentioned in the question . hence c is the correct answer . a / b = 7 / 9 = ( 7 x - ( 7 / 12 ) * 9 ) / ( 5 x - ( 5 / 12 ) * 9 + 9 ) , where 7 x and 5 x are initial quantities of a and b respectively . thus , 7 / 9 = ( 7 x - ( 7 / 12 ) * 9 ) / ( 5 x - ( 5 / 12 ) * 9 + 9 ) - - - > giving you x = 3 . thus a ( original ) m = 7 * 3 = 21 . c\"" + }, + { + "Answer": 400, + "Options": "a ) 200 m , b ) 250 m , c ) 300 m , d ) 350 m , e ) 400 m", + "Correct": "e", + "Explanation": "\"speed = ( 120 * 5 / 18 ) m / sec = ( 100 / 3 ) m / sec length of the train = ( speed x time ) = ( 100 / 3 * 12 ) m = 400 m . answer : e\"" + }, + { + "Answer": 5, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "c", + "Explanation": "\"m = 20 s = 12 us = 20 - 12 = 8 d = 40 t = 40 / 8 = 5 answer : c\"" + }, + { + "Answer": 28875, + "Options": "a ) rs . 15000 , b ) rs . 15550 , c ) rs . 15600 , d ) rs . 28875 , e ) none of these", + "Correct": "d", + "Explanation": "\"solution area of the floor = ( 5.5 \u00d7 3.75 ) m 2 = 20.625 m 2 \u2234 cost of paving = rs . ( 1400 \u00d7 20.625 ) = 28875 . answer d\"" + }, + { + "Answer": 14.4, + "Options": "a ) 12 minutes , b ) 12.5 min , c ) 14.4 min , d ) 10.2 min , e ) 14.66 min", + "Correct": "c", + "Explanation": "as pipe a takes 12 min . to fill remaining one - third it takes 36 min . to fill completely . similarly pipe b takes 24 min . to fill completely so , total time taken by both together is reciprocal of : ( 1 / 36 ) + ( 1 / 24 ) = 5 / 72 ans : 14.4 min . answer : c" + }, + { + "Answer": 1.8, + "Options": "a ) 1 / 3 , b ) 9 / 5 , c ) 4 , d ) 9 , e ) 12", + "Correct": "b", + "Explanation": "in 15 mins , timothy travels = 6 / 4 miles . now , let his mother takes x hours to reach him , traveling at 36 mph . so , 36 x = 6 x + 6 / 4 x = 1 / 20 hrs . thus , the distance traveled by his mother to reach = 36 * 1 / 20 = 9 / 5 miles . ans b" + }, + { + "Answer": 11.000000000000002, + "Options": "a ) 10 sec , b ) 16 sec , c ) 13 sec , d ) 67 sec , e ) 11 sec", + "Correct": "e", + "Explanation": "\"rs = 60 - 40 = 20 * 5 / 18 = 100 / 18 t = 55 d = 55 * 100 / 18 = 2750 / 9 rs = 60 + 40 = 100 * 5 / 18 t = 2750 / 9 * 18 / 500 = 11 sec answer : e\"" + }, + { + "Answer": 25, + "Options": "a ) 21 , b ) 23 , c ) 25 , d ) 27 , e ) 30", + "Correct": "c", + "Explanation": "the distance between them is the hypotenuse of a right angle triangle with sides 15 km and 20 km . the hypotenuse = sqrt ( 15 ^ 2 + 20 ^ 2 ) = 25 the answer is c ." + }, + { + "Answer": 50, + "Options": "a ) 20 m , b ) 70 m , c ) 50 m , d ) can not be determined , e ) none of these", + "Correct": "c", + "Explanation": "\"speed = 30 * 5 / 18 = 25 / 3 m / sec length of the train = speed * time = 25 / 3 * 6 = 50 m answer : c\"" + }, + { + "Answer": 108.00000000000001, + "Options": "a ) 12 kg , b ) 60 kg , c ) 108 kg , d ) 96 kg , e ) none", + "Correct": "c", + "Explanation": "\"solution volume of water displaced = ( 3 x 2 x 0.018 ) m 3 = 0.108 m 3 . mass of man = volume of water displaced \u00d7 density of water = ( 0.108 \u00d7 1000 ) kg = 108 kg . answer c\"" + }, + { + "Answer": 9.599232061435085, + "Options": "a ) 1.2 sec , b ) 2.4 sec , c ) 4.8 sec , d ) 9.6 sec , e ) none", + "Correct": "d", + "Explanation": "\"sol . relative speed = ( 45 + 30 ) km / hr = ( 75 x 5 / 18 ) m / sec = ( 125 / 6 ) m / sec . distance covered = ( 100 + 100 ) m = 1000 m . required time = ( 200 x 6 / 125 ) sec = 9.6 sec . answer d\"" + }, + { + "Answer": 40, + "Options": "a ) 35 hours , b ) 40 hours , c ) 36 hours , d ) 38 hours , e ) 42 hours", + "Correct": "b", + "Explanation": "\"let the persons be a , b , c . hours worked : a = 1 * 120 / 6 = 20 hours b = 2 * 120 / 6 = 40 hours c = 3 * 120 / 6 = 60 hours c is the hardest worker and a worked for the least number of hours . so the difference is 60 - 20 = 40 hours . answer : b\"" + }, + { + "Answer": 8, + "Options": "a ) 2 , b ) 4 , c ) 8 , d ) 12 , e ) 15", + "Correct": "c", + "Explanation": "sol . speed in still water = 1 / 2 ( 11 + 5 ) kmph = 8 kmph . answer c" + }, + { + "Answer": 20, + "Options": "a ) 20 km , b ) 16 km , c ) 6 km , d ) 3 km , e ) 61 km", + "Correct": "a", + "Explanation": "let the distance travelled be x km . total time = ( x / 2 ) / 10 + ( x / 2 ) / 5 = 2 = > x / 20 + x / 10 = 2 = > ( 1 x + 2 x ) / 20 = 2 = > x = 20 km answer : a" + }, + { + "Answer": 15, + "Options": "a ) 15 minutes , b ) 18 minutes , c ) 12 minutes , d ) 58 minutes , e ) 10 minutes", + "Correct": "a", + "Explanation": "explanation : as the squirrel climbs 5 m in one minute and slips 2 metres in the next minute , it climbs 3 metres in 2 minute to climb 26 metres , the time required is : the squirrel will climb ( 26 \u2013 5 ) = 21 metres = 7 * 3 metres in 7 * 2 = 14 minutes also , the last 5 metres it climbs in another 1 minute hence , total time required = 14 + 1 = 15 minutes answer : a" + }, + { + "Answer": 21.998240140788738, + "Options": "a ) 10 sec , b ) 22 sec , c ) 82 sec , d ) 20 sec , e ) 89 sec", + "Correct": "b", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 120 + 320 = 440 m . the time required = d / s = 440 / 20 = 22 sec . answer : b\"" + }, + { + "Answer": 420, + "Options": "a ) 6 metre , b ) 120 metre , c ) 220 metre , d ) 1200 metre , e ) 420 metre", + "Correct": "e", + "Explanation": "number of times wheel moves in 1 hour = 20 * 60 = 1200 : . distance moves = ( 1200 * 35 ) cms = 42000 cms in metres = 420 metre answer : e" + }, + { + "Answer": 40, + "Options": "a ) w = 26.7 , b ) w = 30.0 , c ) w = 40.0 , d ) w = 53.3 , e ) 60.0", + "Correct": "c", + "Explanation": "\"veritas prepofficial solution correct answer : c using the formula : time = distance / rate , we find that mike takes 4 hours to cover the first 320 miles of his trip . since the 2 nd 320 miles take 200 % longer than the first , it takes mike 8 hours longer , or 12 hours . ( note : 200 % longer than the first half is not 200 % of the first half . ) the overall time is 4 hours + 12 hours or 16 hours . since the definition of average rate = total distance traveled / total time of travel , mike ' s average rate = 640 / 16 or 40 miles per hour . answer choice c is correct .\"" + }, + { + "Answer": 79.99360051195904, + "Options": "a ) 120 , b ) 80 , c ) 60 , d ) 136 , e ) 150", + "Correct": "b", + "Explanation": "time taken to meet for the first time at the starting point = lcm { length of the track / speed of mona , length of the track / speed of sona } = lcm { 400 / ( 18 * 5 / 18 ) , 400 / ( 36 * 5 / 18 ) } = lcm ( 80 , 40 ) = 80 sec . answer : b" + }, + { + "Answer": 32, + "Options": "a ) 2263 minutes , b ) 24 minutes , c ) 32 minutes , d ) 36 minutes , e ) none of these", + "Correct": "c", + "Explanation": "speed of the car a = 5 \u2044 6 \u00d7 90 = 75 km / hr \\ reqd time = 88 / 90 + 75 \u00d7 60 = 32 minutes answer c" + }, + { + "Answer": 47.5, + "Options": "a ) 47.5 , b ) 46.5 , c ) 45.5 , d ) 48.5 , e ) 44.5", + "Correct": "a", + "Explanation": "angle = 30 ( hours ) - ( 11 / 2 ) ( minutes ) = 30 * 3 - ( 5.5 * 25 ) ( hour = 3 and minutes = 25 ) = 90 - 137.5 = 47.5 answer : a" + }, + { + "Answer": 19.53488372093023, + "Options": "a ) 25.8 , b ) 19.5 , c ) 18.0 , d ) 12.2 , e ) 29.8", + "Correct": "b", + "Explanation": "\"avg speed = 2 * x * y / ( x + y ) = 2 * 15 * 28 / ( 15 + 28 ) = 19.5 answer : b\"" + }, + { + "Answer": 60, + "Options": "a ) 60 kmph , b ) 76 kmph , c ) 34 kmph , d ) 43 kmph , e ) 40 kmph", + "Correct": "a", + "Explanation": "\"s = ( 100 + 300 ) / 24 = 400 / 24 * 18 / 5 = 60 answer : a\"" + }, + { + "Answer": 36, + "Options": "a ) 18 days , b ) 36 days , c ) 42 days , d ) 48 days , e ) 44 days", + "Correct": "b", + "Explanation": "\"9 * 80 = 20 * x x = 36 days answer : b\"" + }, + { + "Answer": 315, + "Options": "a ) 315 , b ) 325 , c ) 335 , d ) 345 , e ) 305", + "Correct": "a", + "Explanation": "for 1 revolution : front wheel goes 7 ft . and back wheel goes 9 feet . let distance is x feet . x / 7 = ( x / 9 ) + 10 or , 2 x / 63 = 10 or , x = ( 10 * 63 ) / 2 therefore , x = 315 answer : a" + }, + { + "Answer": 4, + "Options": "a ) 2.25 . , b ) 3.125 . , c ) 4.5 . , d ) 4.00 . , e ) 6.25 .", + "Correct": "d", + "Explanation": "\"number of hours in 28 days = 28 * 24 number of 30 mins in 28 days = 28 * 24 * 2 number of computers built every 30 mins = 5376 / ( 28 * 24 * 2 ) = 4.00 answer d\"" + }, + { + "Answer": 6.005459508644222, + "Options": "a ) 3 , b ) 5 , c ) 26 , d ) 12 , e ) 6", + "Correct": "e", + "Explanation": "\"2 * 22 / 7 * 28 * x = 1056 = > x = 6 answer : e\"" + }, + { + "Answer": 17.998560115190784, + "Options": "a ) 18 sec , b ) 15 sec , c ) 21 sec , d ) 16 sec , e ) 20 sec", + "Correct": "a", + "Explanation": "\"d = 250 + 200 = 450 s = 90 * 5 / 18 = 25 mps t = 450 / 25 = 18 sec a ) 18 sec\"" + }, + { + "Answer": 600, + "Options": "a ) 250 , b ) 600 , c ) 675 , d ) 700 , e ) 750", + "Correct": "b", + "Explanation": "\"machine a can produce 100 * 30 / 10 = 300 copies and , machine b can produce 150 * 30 / 15 = 300 copies total producing 600 copies . b is the answer\"" + }, + { + "Answer": 15, + "Options": "a ) 15 days , b ) 88 days , c ) 21 days , d ) 11 days , e ) 13 days", + "Correct": "a", + "Explanation": "\"wc = 2 : 1 2 x + x = 1 / 5 x = 1 / 15 = > 15 days answer : a\"" + }, + { + "Answer": 6, + "Options": "a ) 1.8 m , b ) 6 m , c ) 7 m , d ) 9 m , e ) 12 m", + "Correct": "b", + "Explanation": "the reason it is failing for you is that you chose incorrect numbers . if the question says r it took 7 hrs to reach from a to b and 5 hrs to reach from b to c at a constant speed . it shows that distance ab and bc should be in ratio of 7 / 5 . if you take such numbers you can solve problem . ab = 7 , bc = 5 therefore ab - bc = 2 but from question , ab - bc = m = > m = 2 now total distance = ab + bc = 12 substitute 12 to get answer in terms of m total distance = 12 = 6 m ans b" + }, + { + "Answer": 15, + "Options": "a ) 9 , b ) 10 , c ) 15 , d ) 25 , e ) 30", + "Correct": "c", + "Explanation": "\"5 machines would produce 60 units in 30 hours . increasing the amount of machines by 2 would mean dividing 30 hours by 2 . 30 / 2 = 15 answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 14 , b ) 16 , c ) 21 , d ) 22 , e ) 40", + "Correct": "e", + "Explanation": "\"i treat such problems as work ones . work = rate * time mileage ( m ) = rate ( mpg ) * gallons ( g ) x gallons is a full tank { 462 = rx { 336 = ( r - 15 ) x solve for r , r = 55 55 - 15 = 40 mpg e\"" + }, + { + "Answer": 702, + "Options": "a ) 156 , b ) 167 , c ) 157 , d ) 352 , e ) 702", + "Correct": "e", + "Explanation": "\"the total number of stations = 27 from 27 stations we have to choose any two stations and the direction of travel ( i . e . , hyderabad to bangalore is different from bangalore to hyderabad ) in \u00b2 \u2070 p \u2082 ways . \u00b2 \u2070 p \u2082 = 27 * 26 = 702 . answer : e\"" + }, + { + "Answer": 1155, + "Options": "a ) 1158 , b ) 1651 , c ) 1653 , d ) 1654 , e ) none", + "Correct": "a", + "Explanation": "solution : 1158 explanation : for an ideal case , the batsman will hit a six on each ball . but if he hits six on the last ball of the over , the strike will change in the next over . thus , the best he can do in the last ball is run 3 runs so that he retains the strike even in the next over . thus the total runs that he can score in each over : 6 * 5 + 3 = 33 but this will have to go like it only till the 34 th over . in the 35 th over , he can hit a six in the last ball as well as that will be the last ball of his destination . thus runs for the 35 th over will be 6 * 6 = 36 . hence the maximum runs = 33 * 34 + 36 = 1158 answer a" + }, + { + "Answer": 220.03199999999998, + "Options": "a ) 220 m , b ) 110 m , c ) 230 m , d ) 100 m , e ) 90 m", + "Correct": "a", + "Explanation": "length = speed * time length = 72 km / hr * time length = [ 72 * ( 5 / 18 ) ] * 20 { ( ie ) ( x ) km / hr ) } = x * ( 5 / 18 ) = 20 * 20 length = 400 m length of platform = length - length of the train length of platform = 400 - 180 length of platform = 220 m option a" + }, + { + "Answer": 3, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "c", + "Explanation": "\"as cars are moving in opposite directions their speeds will be added . so their relative speeds : 57 + 54 = 111 mph total distance to be covered = 333 miles . time taken would be : 333 miles / 111 mph = 3 hours c is the answer .\"" + }, + { + "Answer": 1100, + "Options": "a ) 1100 toys , b ) 5487 toys , c ) 6113 toys , d ) 2354 toys , e ) 1375 toys", + "Correct": "a", + "Explanation": "\"to find the number of toys produced every day , we divide the total number of toys produced in one week ( of 5 days ) by 5 . 5500 / 5 = 1100 toys correct answer a\"" + }, + { + "Answer": 250.03999999999996, + "Options": "a ) 250 , b ) 245 , c ) 240 , d ) 235 , e ) 230", + "Correct": "a", + "Explanation": "\"relative speed = 120 + 80 = 200 km / hr . = 200 * 5 / 18 = 500 / 9 m / sec . let the length of the other train be x m . then , ( x + 250 ) / 9 = 500 / 9 = > x = 250 . answer : option a\"" + }, + { + "Answer": 4, + "Options": "a ) 2 : 3 , b ) 5 : 6 , c ) 4 : 1 , d ) 7 : 1 , e ) 8 : 1", + "Correct": "c", + "Explanation": "explanation : let speed of boat is x km / h and speed stream is y km / hr 6 ( x + y ) = 10 ( x - y ) 6 x + 6 y = 10 x - 10 y 16 y = 4 x 4 y = x x / y = 4 / 1 4 : 1 answer : option c" + }, + { + "Answer": 28.8, + "Options": "a ) 25.8 , b ) 26.8 , c ) 27.8 , d ) 28.8 , e ) 29.8", + "Correct": "d", + "Explanation": "avg speed = 2 * x * y / ( x + y ) = 2 * 24 * 36 / ( 24 + 36 ) = 28.8 answer : d" + }, + { + "Answer": 18, + "Options": "a ) 17 minutes , b ) 18 minutes , c ) 19 minutes , d ) 16 minutes , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : in one hour due to stoppages , it covers 15 km less . time taken to cover 15 km = [ 15 / 50 * 60 ] min = 18 min answer : b\"" + }, + { + "Answer": 60, + "Options": "a ) a . 43 , b ) b . 45 , c ) c . 55 , d ) d . 68 , e ) e . 60", + "Correct": "e", + "Explanation": "\"40 workers working already let x be the total men required to finish the task in next 200 days 2.5 km done hence remaining is 12.5 km also , work has to be completed in next 200 days ( 300 - 100 = 200 ) we know that , proportion of men to distance is direct proportion and , proportion of men to days is inverse proportion hence , x = ( 40 * 12.5 * 100 ) / ( 2.5 * 200 ) thus , x = 100 thus , more men needed to finish the task = 100 - 40 = 60 hence answer is e\"" + }, + { + "Answer": 10.666666666666666, + "Options": "a ) 10.4 km , b ) 10.66 km , c ) 11.4 km , d ) 11.22 km , e ) 12 km", + "Correct": "b", + "Explanation": "\"explanation : speed downstream = ( 26 + 6 ) = 32 kmph time = 20 minutes = 20 / 60 hour = 1 / 3 hour distance travelled = time \u00d7 speed = ( 1 / 3 ) \u00d7 32 = 10.66 km answer : option b\"" + }, + { + "Answer": 1.3, + "Options": "a ) 1 kmph , b ) 2 kmph , c ) 3 kmph , d ) 1.3 kmph , e ) 3.5 kmph", + "Correct": "d", + "Explanation": "\"rate upstream = ( 1 / 25 * 60 ) = 2.4 kmph rate dowm stream = 1 / 12 * 60 = 5 kmph rate of the current = \u00bd ( 5 - 2.4 ) = 1.3 kmph answer : d\"" + }, + { + "Answer": 20, + "Options": "a ) $ 18 , b ) $ 20 , c ) $ 22 , d ) $ 24 , e ) $ 25", + "Correct": "b", + "Explanation": "\"let x be the daily wage before the increase . 1.4 x = $ 28 x = $ 20 the answer is b .\"" + }, + { + "Answer": 0.1111111111111111, + "Options": "a ) 1 / 15 , b ) 1 / 16 , c ) 1 / 11 , d ) 1 / 9 , e ) 1 / 12", + "Correct": "d", + "Explanation": "\"part of the filled by all the three pipes in one minute = 1 / 15 + 1 / 15 - 1 / 45 = 1 / 9 so , the tank becomes full in 9 minutes . answer : d\"" + }, + { + "Answer": 58.064516129032256, + "Options": "a ) 59 , b ) 57 , c ) 59.5 , d ) 58 , e ) 55.5", + "Correct": "d", + "Explanation": "\"d 75 * t = 1 km = > t = 1 / 60 km / h v * ( t + 2 / 3600 ) = 1 v ( 1 / 60 + 2 / 3600 ) = 1 = > v = 58 km / h\"" + }, + { + "Answer": 50, + "Options": "a ) 42 , b ) 50 , c ) 50 , d ) 54 , e ) 56", + "Correct": "b", + "Explanation": "\"t 1 = 180 / 60 = 3 hours t 2 = 120 / 40 = 3 hours t = t 1 + t 2 = 6 hours avg speed = total distance / t = 300 / 6 = 50 mph = b\"" + }, + { + "Answer": 100, + "Options": "a ) 80 kmph , b ) 60 kmph , c ) 70 kmph , d ) 100 kmph , e ) none of these", + "Correct": "d", + "Explanation": "\"as we know that speed = distance / time for average speed = total distance / total time taken thus , total distance = 250 + 350 = 600 km thus , total speed = 6 hrs or , average speed = 600 / 6 or , 100 kmph . answer : d\"" + }, + { + "Answer": 10, + "Options": "a ) 6 days , b ) 10 days , c ) 15 days , d ) 16 days , e ) 20 days", + "Correct": "b", + "Explanation": "work done by x in 4 days = ( 1 / 20 ) * 4 = 1 / 5 remaining work = 1 - 1 / 5 = 4 / 5 . ( x + y ) ' s 1 day ' s work = 1 / 20 + 1 / 12 = 8 / 60 = 2 / 15 . now , 2 / 15 work is done by x and y in 1 day . so , 4 / 5 work will be done by x and y in ( 15 / 2 x 4 / 5 ) = 6 days . hence , total time taken = ( 6 + 4 ) days = 10 days . option b" + }, + { + "Answer": 5.5, + "Options": "a ) 6.5 , b ) 5.5 , c ) 5.2 , d ) 4.6 , e ) 9.7", + "Correct": "b", + "Explanation": "\"35 - - - 5 ds = 7 ? - - - - 1 20 - - - - 5 us = 4 ? - - - - 1 m = ? m = ( 7 + 4 ) / 2 = 5.5 answer : b\"" + }, + { + "Answer": 27.997760179185665, + "Options": "a ) 28 , b ) 16.0 , c ) 16.4 , d ) 16.8 , e ) 16.1", + "Correct": "a", + "Explanation": "\"d = 110 + 170 = 280 m s = 36 * 5 / 18 = 10 t = 280 * 1 / 10 = 28 sec answer : a\"" + }, + { + "Answer": 23.998080153587715, + "Options": "a ) 20 sec , b ) 25 sec , c ) 24 sec , d ) 30 sec , e ) 22 sec", + "Correct": "c", + "Explanation": "speed = ( 45 + 30 ) = 75 * 5 / 18 = = > 125 / 6 req time = 500 * 6 / 125 = 24 sec answer c" + }, + { + "Answer": 105.99056603773583, + "Options": "a ) 106 seconds , b ) 130 seconds , c ) 177 seconds , d ) 200 seconds , e ) 270 seconds", + "Correct": "a", + "Explanation": "tap 1 : 210 secs tap 2 : 214 secs considering the average of these 2 taps : 212 secs . so 1 tap can fill the tank in 212 secs , so 2 taps can fill the tank in 212 / 2 = 106 secs . closest answer is a ." + }, + { + "Answer": 2, + "Options": "a ) 6 , b ) 5 , c ) 5.5 , d ) 2 , e ) 8", + "Correct": "d", + "Explanation": "\"b ' s 10 day ' s work = ( 1 x 10 ) = 2 . 15 3 remaining work = ( 1 - 2 ) = 1 . 3 3 now , 1 work is done by a in 1 day . 6 therefore 1 work is done by a in ( 6 x 1 ) = 2 days . d\"" + }, + { + "Answer": 16.666666666666668, + "Options": "a ) 13 sec . , b ) 15 sec . , c ) 12 sec . , d ) 17 sec . , e ) 16.7 sec .", + "Correct": "e", + "Explanation": "\"speed of the first bullet train = 120 / 10 m / sec = 12 m / sec . speed of the second bullet train = 120 / 50 m / sec = 2.4 m / sec . relative speed = ( 12 + 2.4 ) = 14.4 m / sec . required time = ( 120 + 120 ) / 14.4 sec = 16.7 sec . e\"" + }, + { + "Answer": 32, + "Options": "a ) 76 days , b ) 48 days , c ) 98 days , d ) 32 days , e ) 22 days", + "Correct": "d", + "Explanation": "b = 1 / 16 \u2013 1 / 32 = 1 / 32 = > 32 days answer : d" + }, + { + "Answer": 393.1744908390343, + "Options": "a ) 246 , b ) 448 , c ) 393 , d ) 710 , e ) 223", + "Correct": "c", + "Explanation": "\"1 revolution = 3.14 * diameter . number of revolutions in 1 km = 1000 m / ( 3.14 * 0.81 m ) = 393.2 . hence 393 complete revolutions . answer c\"" + }, + { + "Answer": 8, + "Options": "a ) 5 min , b ) 2 min , c ) 8 min , d ) 1 min , e ) 10 min", + "Correct": "c", + "Explanation": "full cistern filled in = 88 minutes 1 / 11 part filled in = 88 * 1 / 11 = 8 minutes answer is c" + }, + { + "Answer": 24, + "Options": "a ) 55 days , b ) 77 days , c ) 20 days , d ) 24 days , e ) 44 days", + "Correct": "d", + "Explanation": "\"16 * 30 = 20 * x = > x = 24 days answer : d\"" + }, + { + "Answer": 982.8571428571429, + "Options": "a ) 914.2 hours , b ) 900 hours , c ) 915 hours , d ) 982.9 hours , e ) 915 hours", + "Correct": "d", + "Explanation": "\"explanation : speed downstream = ( 16 + 2 ) = 18 kmph speed upstream = ( 16 - 2 ) = 14 kmph total time taken = 7740 / 18 + 7740 / 14 = 430 + 552.9 = 982.9 hours answer : option d\"" + }, + { + "Answer": 280.0224, + "Options": "a ) 190 metres , b ) 160 metres , c ) 280 metres , d ) 120 metres , e ) 250 metres", + "Correct": "c", + "Explanation": "\"speed of the train , v = 40 km / hr = 40000 / 3600 m / s = 400 / 36 m / s time taken to cross , t = 25.2 s distance covered , d = vt = ( 400 / 36 ) \u00e3 \u2014 25.2 = 280 m distance covered is equal to the length of the train = 280 m correct answer is 280 metres c\"" + }, + { + "Answer": 120, + "Options": "a ) 120 hours , b ) 240 hours , c ) 160 hours , d ) 480 hours , e ) none", + "Correct": "a", + "Explanation": "\"sol . speed upstream = 2 kmph ; speed downstream = 14 kmph . \u2234 total time taken = [ 210 / 2 + 210 / 2 ] hours = 120 hours . answer a\"" + }, + { + "Answer": 17.999999999999996, + "Options": "['a ) 16 m', 'b ) 17 m', 'c ) 18 m', 'd ) 19 m', 'e ) 15 m']", + "Correct": "c", + "Explanation": "volume of cuboid = 27 * 18 * 12 = ( 27 * 27 * 8 ) = ( 3 * 3 * 2 ) ^ 3 = 18 ^ 3 so no amount of the volume of molten metal should be added to mould it into a cube whose edge is ' a ' cm where a is 18 m . answer : c" + }, + { + "Answer": 8250, + "Options": "a ) rs . 15000 , b ) rs . 8250 , c ) rs . 15600 , d ) rs . 16500 , e ) none of these", + "Correct": "b", + "Explanation": "\"solution area of the floor = ( 5.5 \u00d7 3.75 ) m 2 = 20.625 m 2 \u2234 cost of paving = rs . ( 400 \u00d7 20.625 ) = 8250 . answer b\"" + }, + { + "Answer": 5.090909090909091, + "Options": "a ) 5.1 , b ) 7.1 , c ) 7.2 , d ) 7.5 , e ) 8.0", + "Correct": "a", + "Explanation": "\"pick a number which is lcm of 7 and 4 = 18 . upstream time = 28 / 4 = 7 hrs downstream time = 28 / 7 = 4 hrs total time = 11 hrs total distance = 56 average speed = 56 / 11 = 5.1 km / hr\"" + }, + { + "Answer": 199.99999999999983, + "Options": "a ) 80 days , b ) 100 days , c ) 120 days , d ) 110 days , e ) 200 days", + "Correct": "e", + "Explanation": "rate of both = 1 / 20 together they do = 1 / 20 * 11 = 11 / 20 left work = 1 - 11 / 20 = 9 / 20 adam completes 9 / 20 work in 10 day so he took 10 * 20 / 9 = 200 / 9 days to complete the left work alone . thus the rate of adam is 9 / 200 rate of micheal = 1 / 20 - 9 / 200 = 1 / 200 thus micheal takes 200 days to complete the whole work . ans . e ." + }, + { + "Answer": 60, + "Options": "a ) 100 km , b ) 150 km , c ) 60 km , d ) 120 km , e ) 200 km", + "Correct": "c", + "Explanation": "\"suppose after x km from the start b catches up with a . then , the difference in the time taken by a to cover x km and that taken by b to cover x km is 3 hours . x / 10 - x / 20 = 3 x = 60 km answer is c\"" + }, + { + "Answer": 440, + "Options": "a ) 382 , b ) 440 , c ) 278 , d ) 270 , e ) 881", + "Correct": "b", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec . time = 26 sec . let the length of the train be x meters . then , ( x + 80 ) / 26 = 20 x = 440 m . answer : b\"" + }, + { + "Answer": 17.998560115190784, + "Options": "a ) 12 , b ) 16 , c ) 17 , d ) 18 , e ) 20", + "Correct": "d", + "Explanation": "\"the speed of the boat downstream = 15 + 3 = 18 km / hr 18 km / hr * 5 / 18 = 5 m / s the time taken to cover 90 meters = 90 / 5 = 18 seconds . the answer is d .\"" + }, + { + "Answer": 15, + "Options": "a ) 14 kmph , b ) 15 kmph , c ) 13 kmph , d ) 12 kmph , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : let the speed of the water in still water = x given that speed of the stream = 3 kmph speed downstream = ( x + 3 ) kmph speed upstream = ( x - 3 ) kmph he travels a certain distance downstream in 1 hour and come back in 11 \u2044 2 hour . ie , distance travelled downstream in 1 hour = distance travelled upstream in 11 \u2044 2 hour since distance = speed \u00d7 time , we have ( x + 3 ) \u00d7 1 = ( x \u2212 3 ) ( 3 / 2 ) = > 2 ( x + 3 ) = 3 ( x - 3 ) = > 2 x + 6 = 3 x - 9 = > x = 6 + 9 = 15 kmph . answer : option b\"" + }, + { + "Answer": 18.683651804670912, + "Options": "a ) 18 , b ) 26 , c ) 14 , d ) 18.7 , e ) 91", + "Correct": "d", + "Explanation": "\"2 * 22 / 7 * 9 * x = 1056 = > x = 18.7 answer : d\"" + }, + { + "Answer": 0.96875, + "Options": "a ) 31 / 32 , b ) 7 / 8 , c ) 1 / 4 , d ) 1 / 8 , e ) 1 / 16", + "Correct": "a", + "Explanation": "left after 1 st stroke = 1 / 2 left after 2 nd stroke = 1 / 2 * 1 / 2 = 1 / 4 left after 3 rd stroke = 1 / 2 * 1 / 4 = 1 / 8 left after 4 th stroke = 1 / 2 * 1 / 8 = 1 / 16 left after 5 th stroke = 1 / 2 * 1 / 16 = 1 / 32 so removed = 1 - 1 / 32 = 31 / 32" + }, + { + "Answer": 102400, + "Options": "a ) 1024545 m , b ) 134561 m , c ) 156787 m , d ) 15450 m , e ) 102400 m", + "Correct": "e", + "Explanation": "\"perimeter = distance covered in 8 min . = 12000 x 8 m = 1600 m . 60 let length = 4 x metres and breadth = 1 x metres . then , 2 ( 4 x + 1 x ) = 1600 or x = 160 . length = 640 m and breadth = 160 m . area = ( 640 x 160 ) m 2 = 102400 m e\"" + }, + { + "Answer": 16, + "Options": "a ) 6 cm , b ) 14 cm , c ) 16 cm , d ) 23 cm , e ) 29 cm", + "Correct": "c", + "Explanation": "\"volume of the wire ( in cylindrical shape ) is equal to the volume of the sphere . \u03c0 ( 12 ) ^ 2 * h = ( 4 / 3 ) \u03c0 ( 12 ) ^ 3 = > h = 16 cm answer : c\"" + }, + { + "Answer": 28, + "Options": "a ) 28 kmph , b ) 60 kmph , c ) 70 kmph , d ) 80 kmph , e ) 90 kmph", + "Correct": "a", + "Explanation": "\"time = 6 distence = 252 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 252 / 9 = 28 kmph a\"" + }, + { + "Answer": 8, + "Options": "a ) 3 , b ) 5 , c ) 6 , d ) 8 , e ) 9", + "Correct": "d", + "Explanation": "\"work done by x in 1 day = 1 / 20 work done by y in 1 day = 1 / 15 work done by y in 9 days = 9 / 15 = 3 / 5 remaining work = 1 \u2013 3 / 5 = 2 / 5 number of days in which x can finish the remaining work = ( 2 / 5 ) / ( 1 / 20 ) = 8 d\"" + }, + { + "Answer": 25, + "Options": "a ) 23 , b ) 24 , c ) 25 , d ) 26 , e ) 27", + "Correct": "c", + "Explanation": "halfway between the multiples of 14 , there will be another multiple of 7 . the total number of multiples of 7 is 13 + 12 = 25 . the answer is c ." + }, + { + "Answer": 34, + "Options": "a ) 34 , b ) 38 , c ) 40 , d ) 42 , e ) 44", + "Correct": "a", + "Explanation": "\"explanation : let the number of correct answers be x . number of incorrect answers = ( 60 \u2013 x ) . 4 x \u2013 ( 60 \u2013 x ) = 110 = > 5 x = 170 = > x = 34 answer : a\"" + }, + { + "Answer": 3, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 60 / 7", + "Correct": "b", + "Explanation": "\"you can either take the amount of work done as the same as karishma has done or take the work done by each in the same time . i will do the latter 1 . work done in 1 hr by a is 2000 envelopes 2 . work done in 1 hr by a and c is 3000 envelopes 3 . so work done in 1 hr by c is 1000 envelopes 4 . work done in 1 hr by b and c is 2400 envelopes 5 . so work done in 1 hr by b is 1400 envelopes 6 . so to process 4200 envelopes b will take 4200 / 1400 hrs = 3 hrs so the answer is choice b\"" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 5 1 / 2 , c ) 6 , d ) 8 , e ) none of these", + "Correct": "a", + "Explanation": "\"b ' s 10 day ' s work = ( 1 / 15 * 10 ) = 2 / 3 remaining work = ( 1 - 2 / 3 ) = 1 / 3 now , 1 / 18 work is done by a in 1 day 1 / 3 work is done by a in ( 9 * 1 / 3 ) = 3 days . correct option : a\"" + }, + { + "Answer": 0.04999999999999999, + "Options": "a ) 1 / 15 , b ) 1 / 16 , c ) 1 / 20 , d ) 1 / 10 , e ) 1 / 12", + "Correct": "c", + "Explanation": "\"part of the filled by all the three pipes in one minute = 1 / 18 + 1 / 60 - 1 / 45 = 1 / 20 so , the tank becomes full in 20 minutes . answer : c\"" + }, + { + "Answer": 60, + "Options": "a ) 60 min , b ) 36 min , c ) 25 min , d ) 30 min , e ) 50 min", + "Correct": "a", + "Explanation": "2 / 3 of the cistern can fill in 40 min 3 / 3 of the cistern can fill in = 40 * 3 / 2 * 3 / 3 = 60 min answer is a" + }, + { + "Answer": 3.002729754322111, + "Options": "a ) 10 , b ) 12 , c ) 3 , d ) 11 , e ) 9", + "Correct": "c", + "Explanation": "\"2 * 22 / 7 * 56 * x = 1056 = > x = 3 answer : c\"" + }, + { + "Answer": 1.75, + "Options": "a ) 1 kmph , b ) 2 kmph , c ) 1.75 kmph , d ) 2.5 kmph , e ) 3.5 kmph", + "Correct": "c", + "Explanation": "\"rate upstream = ( 1 / 40 * 60 ) = 1.5 kmph rate dowm stream = 1 / 12 * 60 = 5 kmph rate of the current = \u00bd ( 5 - 1.5 ) = 1.75 kmph answer : c\"" + }, + { + "Answer": 2, + "Options": "a ) 8 , b ) 7 , c ) 5 , d ) 2.0 , e ) 1", + "Correct": "d", + "Explanation": "explanation : m 1 * d 1 * w 2 = m 2 * d 2 * w 1 10 * 3 * 10 * 32 = 30 * d * 8 * 20 d = 2 days answer : d" + }, + { + "Answer": 144, + "Options": "a ) 116 cm , b ) 144 cm , c ) 168 cm , d ) 173 cm , e ) 189 cm", + "Correct": "b", + "Explanation": "\"volume of the wire ( in cylindrical shape ) is equal to the volume of the sphere . \u03c0 ( 4 ) ^ 2 * h = ( 4 / 3 ) \u03c0 ( 12 ) ^ 3 = > h = 144 cm answer : b\"" + }, + { + "Answer": 150, + "Options": "a ) 150 m , b ) 188 m , c ) 267 m , d ) 268 m , e ) 287 m", + "Correct": "a", + "Explanation": "\"length of the train be \u2018 x \u2019 x + 150 / 15 = x + 250 / 20 4 x + 600 = 3 x + 750 x = 150 m answer : a\"" + }, + { + "Answer": 10, + "Options": "a ) 11 days , b ) 9 days , c ) 8 days , d ) 12 days , e ) 10 days", + "Correct": "e", + "Explanation": "\"1 / 15 + 1 / 30 = 3 / 30 10 / 1 = 10 days answer : e\"" + }, + { + "Answer": 20, + "Options": "a ) 5 . , b ) 10 . , c ) 14 . , d ) 15 . , e ) 20 .", + "Correct": "e", + "Explanation": "\"time is in the ratio 2 : 1 : : to : fro office therefore , 2 x + 1 x = 6 hrs time take to come back - 2 hrs , distance travelled - 40 km = > speed = 20 kmph e\"" + }, + { + "Answer": 0.26666666666666666, + "Options": "a ) 1 / 2 , b ) 1 / 3 , c ) 2 / 9 , d ) 4 / 15 , e ) 9 / 20", + "Correct": "d", + "Explanation": "\"8 / 20 * 2 / 3 = 4 / 15 the answer is d .\"" + }, + { + "Answer": 431.25, + "Options": "a ) 287 m , b ) 431.25 m , c ) 267 m , d ) 287.25 m , e ) 656 m", + "Correct": "b", + "Explanation": "\"speed = 300 / 16 = 75 / 4 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 39 = 75 / 4 = > x = 731.25 m answer : b ( 431.25 )\"" + }, + { + "Answer": 13, + "Options": "a ) 12 m , b ) 5 m , c ) 13 m , d ) 11 m , e ) 12 m", + "Correct": "c", + "Explanation": "distance between their tops = sqrt ( 12 ^ 2 + ( 11 - 6 ) ^ 2 ) = sqrt 169 = 13 m answer : c" + }, + { + "Answer": 90, + "Options": "a ) 15 , b ) 60 , c ) 75 , d ) 90 , e ) 105", + "Correct": "d", + "Explanation": "\"this type of questions should be solved without any complex calculations as these questions become imperative in gaining that extra 30 - 40 seconds for a difficult one . teena covers 55 miles in 60 mins . loe covers 40 miles in 60 mins so teena gains 15 miles every 60 mins teena need to cover 7.5 + 15 miles . teena can cover 7.5 miles in 30 mins teena will cover 15 miles in 60 mins so answer 30 + 60 = 90 mins . d\"" + }, + { + "Answer": 30, + "Options": "a ) 32 hours , b ) 40 hours , c ) 35 hours , d ) 30 hours , e ) 36 hours", + "Correct": "d", + "Explanation": "\"let the persons be a , b , c . hours worked : a = 3 * 140 / 14 = 30 hours b = 5 * 140 / 14 = 50 hours c = 6 * 140 / 14 = 60 hours c is the hardest worker and a worked for the least number of hours . so the difference is 60 - 30 = 30 hours . answer : d\"" + }, + { + "Answer": 40, + "Options": "a ) 32 , b ) 34 , c ) 36 , d ) 38 , e ) 40", + "Correct": "e", + "Explanation": "let v be the volume of the tank . let r be the rate per minute that pump x fills the tank . let t be the time it takes pump x to fill the tank . the rate at which pump y empties the tank is v / 48 per minute . ( r - v / 48 ) * 6 t = v = rt . ( r - v / 48 ) * 6 = r 5 r = v / 8 . r = v / 40 . it takes pump x 40 minutes to fill the tank . the answer is e ." + }, + { + "Answer": 160, + "Options": "a ) 130 km , b ) 160 km , c ) 100 km , d ) 140 km , e ) none of these", + "Correct": "b", + "Explanation": "\"let the partial distance covered at 40 kmph be x let the another partial distance covered at 60 kmph be ( 250 - x ) thus , x / 40 - ( 250 - x ) / 60 = 5.5 or , x / 40 + ( 250 - x ) / 60 = 5.5 or , ( 3 x + 500 - 2 x ) / / 120 = 5.5 or 500 + x = 660 x = 160 answer : b\"" + }, + { + "Answer": 70, + "Options": "a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", + "Correct": "c", + "Explanation": "\"1 / 2 * d * ( 14 + 8 ) = 770 d = 70 the answer is c .\"" + }, + { + "Answer": 0.5, + "Options": "a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 1 / 5 , e ) 1 / 6", + "Correct": "a", + "Explanation": "\"lets say tim types x pages an hour and tom types y pages an hour . we know that x + y = 15 tom increase speed by 60 % means he will type 1.6 y pages an hour . so we get x + 1.6 y = 18 we need to know the ratio of tom ' s speed to tim ' s speed . this is going to be proportional to the number of pages each can type in an hour , hence ( y / x ) . subtracting both : 0.6 y = 3 so y = 5 . . . so x = 10 ( y / x ) = 5 / 10 = 1 / 2 answer is ( a )\"" + }, + { + "Answer": 24, + "Options": "a ) 23 , b ) 27 , c ) 24 , d ) 27 , e ) 11", + "Correct": "c", + "Explanation": "\"20 * 30 = 25 * x = > x = 24 days answer : c\"" + }, + { + "Answer": 33.33333333333333, + "Options": "a ) 80 days , b ) 100 / 3 days , c ) 120 days , d ) 110 days , e ) 90 days", + "Correct": "b", + "Explanation": "\"rate of both = 1 / 20 together they do = 1 / 20 * 16 = 4 / 5 left work = 1 - 4 / 5 = 1 / 5 adam completes 1 / 5 work in 10 day so he took 10 * 5 = 50 days to complete the left work alone . thus the rate of adam is 1 / 50 rate of micheal = 1 / 20 - 1 / 50 = 1 / ( 100 / 3 ) thus micheal takes 100 / 3 days to complete the whole work . ans . b .\"" + }, + { + "Answer": 0.2666666666666667, + "Options": "a ) 1 / 15 , b ) 2 / 15 , c ) 4 / 15 , d ) 2 / 5 , e ) none of these", + "Correct": "c", + "Explanation": "sol . ( c ) remaining homework on monday night = 1 - ( 3 / 5 ) = 2 / 5 work done on tuesday night = 1 / 3 of 2 / 5 = 2 / 15 remaining homework to complete the biology assignment = 2 / 5 - 2 / 15 = ( 6 - 2 ) / 15 = 4 / 15 answer c" + }, + { + "Answer": 342, + "Options": "a ) 288 cm 2 , b ) 277 cm 2 , c ) 345 cm 2 , d ) 276 cm 2 , e ) 342 cm 2", + "Correct": "e", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 24 + 14 ) * ( 18 ) = 342 cm 2 answer : e\"" + }, + { + "Answer": 221, + "Options": "a ) 126 , b ) 136 , c ) 146 , d ) 221 , e ) 266", + "Correct": "d", + "Explanation": "\"reciprocal of the hcf and lcm of two are 1 / 17 and 1 / 312 so , hcf = 17 , lcm = 312 lcm * hcf = product of two numbers = a * b = > b = lcm * hcf / a so , other = 17 * 312 / 24 = 221 answer : d\"" + }, + { + "Answer": 35.99712023038157, + "Options": "a ) 90 seconds , b ) 36 seconds , c ) 26 seconds , d ) 18 seconds , e ) 6.5 seconds", + "Correct": "b", + "Explanation": "\"speed of the boat downstream = 6.5 + 2.5 = 9 kmph = 9 * 5 / 18 = 2.5 m / s hence time taken to cover 90 m = 90 / 2.5 = 36 seconds . answer : b\"" + }, + { + "Answer": 47.04276615104641, + "Options": "a ) 22 , b ) 28 , c ) 17 , d ) 12 , e ) 47", + "Correct": "e", + "Explanation": "\"2 * 22 / 7 * 14 * x = 4136 = > x = 47 answer : e\"" + }, + { + "Answer": 14.998800095992321, + "Options": "a ) 5 seconds , b ) 4.5 seconds , c ) 3 seconds , d ) 15 seconds , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : first convert speed into m / sec speed = 144 * ( 5 / 18 ) = 40 m / sec time = distance / speed = 600 / 40 = 15 seconds answer : d\"" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 5 , c ) 8 , d ) 9 , e ) 6", + "Correct": "e", + "Explanation": "\"m = 4 s = 2 us = 4 - 2 = 2 d = 12 t = 12 / 2 = 6 answer : e\"" + }, + { + "Answer": 80, + "Options": "a ) 10 days , b ) 30 days , c ) 20 days , d ) 80 days , e ) 40 days", + "Correct": "d", + "Explanation": "\"d 80 days given that 12 m = 20 w = > 3 m = 5 w 9 men + 12 women = 15 women + 12 women = 27 women 20 women can do the work in 108 days . so , 27 women can do it in ( 20 * 108 ) / 27 = 80 days .\"" + }, + { + "Answer": 3, + "Options": "a ) 30 min , b ) 45 min , c ) 1 hr , d ) 3 min , e ) 1 min", + "Correct": "d", + "Explanation": "when the cheetah is at the tree , the reindeer is 50 / 30 miles ahead on the highway . ( the distance covered in 2 min ) every hour , cheetah runs 10 miles more than the deer . how many hours will it takes it to cover 50 / 30 miles more ? the answer is ( 50 / 30 ) / 10 = 1 / 60 = 1 min answer e" + }, + { + "Answer": 42, + "Options": "a ) 44 , b ) 42 , c ) 40 , d ) 38 , e ) 36", + "Correct": "b", + "Explanation": "\"explanation : given that fort had provision of food for 150 men for 45 days hence , after 10 days , the remaining food is sufficient for 150 men for 35 days remaining men after 10 days = 150 - 25 = 125 assume that after 10 days , the remaining food is sufficient for 125 men for x days more men , less days ( indirect proportion ) \u21d2 men 150 : 125 } : : x : 35 \u21d2 150 \u00d7 35 = 125 x \u21d2 6 \u00d7 35 = 5 x \u21d2 x = 6 \u00d7 7 = 42 \u21d2 the remaining food is sufficient for 125 men for 42 days . answer : option b\"" + }, + { + "Answer": 188.49555921538757, + "Options": "a ) 100.5 , b ) 188.5 , c ) 190.5 , d ) 168.5 , e ) 175.5", + "Correct": "b", + "Explanation": "\"2 * 22 / 7 * 15 = 94.25 94.25 * 2 = rs . 188.5 answer : b\"" + }, + { + "Answer": 450, + "Options": "a ) 300 m , b ) 150 m , c ) 200 m , d ) 450 m , e ) 500 m", + "Correct": "d", + "Explanation": "\"speed = 108 kmph = 108 * 5 / 18 = 30 m / s distance covered in 15 sec = 30 * 15 = 450 m answer is d\"" + }, + { + "Answer": 10, + "Options": "a ) 22 , b ) 10 , c ) 99 , d ) 77 , e ) 29", + "Correct": "b", + "Explanation": "\"due to stoppages , it covers 9 km less . time taken to cover 9 km = 9 / 54 * 60 = 10 min . answer : b\"" + }, + { + "Answer": 150, + "Options": "a ) 10 days , b ) 50 days , c ) 100 days , d ) 150 days , e ) 200 days", + "Correct": "d", + "Explanation": "\"exp : we have , m 1 d 1 = m 2 d 2 600 * 25 = 100 * d 2 d 2 = 600 * 25 / 100 = 150 days . answer : d\"" + }, + { + "Answer": 985, + "Options": "a ) 113 miles , b ) 432 miles , c ) 456 miles , d ) 887 miles , e ) 985 miles", + "Correct": "e", + "Explanation": "\"the number of miles to drive to finish his journey is given by 1200 - 215 = 985 miles correct answer e\"" + }, + { + "Answer": 0.03, + "Options": "a ) . 3 , b ) . 0003 , c ) . 003 , d ) 0.03 , e ) none of these", + "Correct": "d", + "Explanation": "\"answer required fraction = 30 / 1000 = 3 / 100 = . 03 correct option : d\"" + }, + { + "Answer": 23.33333333333334, + "Options": "a ) 76 hrs , b ) 70 / 3 hrs , c ) 55 hrs , d ) 90 hrs , e ) 11 hrs", + "Correct": "b", + "Explanation": "1 / 7 - 1 / x = 1 / 10 = > 70 / 3 hrs answer : b" + }, + { + "Answer": 51.99999999999999, + "Options": "a ) 38 sec , b ) 35 sec , c ) 44 sec , d ) 40 sec , e ) 52 sec", + "Correct": "e", + "Explanation": "\"explanation : speed = 45 km / hr = 45 \u00d7 ( 10 / 36 ) m / s = 150 / 12 = 50 / 4 = 25 / 2 m / s total distance = length of the train + length of the platform = 360 + 290 = 650 meter time taken to cross the platform = 650 / ( 25 / 2 ) = 650 \u00d7 2 / 25 = 52 seconds answer : option e\"" + }, + { + "Answer": 3, + "Options": "a ) 2 hours , b ) 2 hours 20 minutes , c ) 2 hours 30 minutes , d ) 2 hours 45 minutes , e ) 3 hours", + "Correct": "e", + "Explanation": "relative speed = 53 - 47 = 6 miles per hour dist required = 13 + 5 = 18 miles time taken to overtake = 18 / 6 = 3 hours . e is the answer ." + }, + { + "Answer": 1280, + "Options": "a ) 1280 , b ) 2400 , c ) 5500 , d ) 7400 , e ) 3400", + "Correct": "a", + "Explanation": "\"number of bricks = volume of the wall / volume of 1 brick = ( 800 x 600 x 22.5 ) / ( 125 x 11.25 x 6 ) = 1280 answer : a\"" + }, + { + "Answer": 3, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "c", + "Explanation": "due to stoppages , it covers 5 km less . time taken to cover 5 km = 5 \u00e2 \u0081 \u201e 100 h = 1 \u00e2 \u0081 \u201e 20 h = 1 \u00e2 \u0081 \u201e 20 \u00e3 \u2014 60 min = 3 min answer c" + }, + { + "Answer": 558, + "Options": "a ) 558 , b ) 502 , c ) 516 , d ) 612 , e ) 700", + "Correct": "a", + "Explanation": "\"total surface s = 2 lw + 2 lh + 2 wh = ( 25 * 12 ) + ( 2 * 25 * 6 ) + ( 2 * 12 * 6 ) = 300 + 300 + 144 = 744 m 2 therefore cost of plastering = 744 * 75 = 5800 paise = 558 answer a\"" + }, + { + "Answer": 15.5, + "Options": "a ) 9 , b ) 18.4 , c ) 15.5 , d ) 16.7 , e ) 13.4", + "Correct": "c", + "Explanation": "\"36 - - - 2 ds = 18 ? - - - - 1 26 - - - - 2 us = 13 ? - - - - 1 m = ? m = ( 18 + 13 ) / 2 = 15.5 answer : c\"" + }, + { + "Answer": 116, + "Options": "a ) 114 , b ) 115 , c ) 116 , d ) 117 , e ) 118", + "Correct": "c", + "Explanation": "the driver did not plan the stop at c . suppose it took x hours for him to get from c to b . then the distance is s = 40 \u22c5 x km . it took x \u2212 3060 \u2212 1560 = x \u2212 4560 = x \u2212 34 h to drive from c to b . the distance from c to b is 32 ( x \u2212 34 ) km , which is 28 km shorter than 40 \u22c5 x , i . e . 32 ( x \u2212 34 ) + 28 = 40 x 32 x \u2212 24 + 28 = 40 x 4 = 8 x x = 12 hr \u22c5 x = 30 min . then the time of the trip from c to b was 30 min . the distance covered equals 3 \u22c5 32 + 12 \u22c5 40 = 96 + 20 = 116 km . so answer is c ." + }, + { + "Answer": 20, + "Options": "a ) 20 sec , b ) 32 sec , c ) 36 sec , d ) 38 sec , e ) 40 sec", + "Correct": "a", + "Explanation": "relative speed = ( 25 + 2 ) km / hr = 27 km / hr = ( 27 \u00d7 5 / 18 ) m / sec = 15 / 2 m / sec . time taken by the train to pass the man = ( 150 \u00d7 2 / 15 ) sec = 20 sec answer : a" + }, + { + "Answer": 10, + "Options": "a ) 10 days , b ) 30 days , c ) 60 days , d ) 70 days , e ) 50 days", + "Correct": "a", + "Explanation": "\"explanation : 6 = ( 15 * x ) / ( 15 + x ) 90 + 6 x = 15 x 9 x = 90 x = 10 answer : option a\"" + }, + { + "Answer": 20.869565217391305, + "Options": "a ) 22.8 , b ) 21.8 , c ) 20.8 , d ) 28.8 , e ) 29.8", + "Correct": "c", + "Explanation": "\"avg speed = 2 * x * y / ( x + y ) = 2 * 16 * 30 / ( 16 + 30 ) = 20.8 answer : c\"" + }, + { + "Answer": 105, + "Options": "a ) s . 109 , b ) s . 108 , c ) s . 100 , d ) s . 103 , e ) s . 105", + "Correct": "e", + "Explanation": "\"3 x 4 x 5 x 6 9 4 18 x + 36 x + 20 x = 1554 74 x = 1554 = > x = 21 5 x = 105 rs . answer : e\"" + }, + { + "Answer": 23.99808015358771, + "Options": "a ) 20 s , b ) 24 s , c ) 22 s , d ) 23 s , e ) 21 s", + "Correct": "b", + "Explanation": "relative speed = 45 + 30 = 75 km / hr = 750 / 36 m / s = 125 / 6 m / s we are calculating the time taken by the slower train to pass the driver of the faster one . hence the distance = length of the smaller train = 500 m time = distance / speed = 500 / ( 125 / 6 ) = 24 s answer is b ." + }, + { + "Answer": 32.142857142857146, + "Options": "a ) 20.14 seconds , b ) 12.14 seconds , c ) 22.14 seconds , d ) 32.14 seconds , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : speed = 56 km / hr = 56 * ( 5 / 18 ) m / sec = 140 / 9 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 / 140 / 9 = 32.14 seconds answer : d\"" + }, + { + "Answer": 5.333333333333333, + "Options": "a ) 3.75 days , b ) 3.78 days , c ) 5.3 days , d ) 3.15 days , e ) 2.75 days", + "Correct": "c", + "Explanation": "\"1 / 8 + 1 / 16 = 3 / 16 16 / 3 = 5.3 days answer : c\"" + }, + { + "Answer": 8, + "Options": "a ) 5 monkeys , b ) 6 monkeys , c ) 7 monkeys , d ) 8 monkeys , e ) 9 monkeys", + "Correct": "d", + "Explanation": "\"8 monkeys take 8 minutes to eat 8 bananas means each monkey takes 8 min for 1 banana in 48 mins one monkey can eat 6 bananas . . . . which means that 8 monkeys can eat 48 bananas in 48 minutes so answer is 8 monkeys answer : d\"" + }, + { + "Answer": 24, + "Options": "a ) 2.25 hours , b ) 8.75 hours , c ) 12 hours , d ) 24 hours , e ) 16 hours", + "Correct": "d", + "Explanation": "\"let each machine do 1 unit of work for 1 hour 8 machines - - > 8 units of work in 1 hour for 6 hours = 8 * 6 = 48 units of total work is done . now this 48 units of total work must be done by 2 machines 2 units of work ( 2 machines ) - - - > 1 hour for 48 units of work 2 * 24 - - - > 1 * 24 hours d 24 hours\"" + }, + { + "Answer": 49, + "Options": "a ) 36 , b ) 2 ^ 4 * 3 , c ) 24 , d ) 49 , e ) 47", + "Correct": "d", + "Explanation": "\"working backward from the day it ' s covered : day 50 : fully covered day 49 : half covered so 49 days answer : d\"" + }, + { + "Answer": 300, + "Options": "a ) 118 , b ) 150 , c ) 300 , d ) 258 , e ) 191", + "Correct": "c", + "Explanation": "\"speed = 60 * 5 / 18 = 50 / 3 m / sec length of the train = speed * time = 50 / 3 * 18 = 300 m answer : c\"" + }, + { + "Answer": 105.99152067834574, + "Options": "a ) 50 , b ) 99 , c ) 88 , d ) 76 , e ) 106", + "Correct": "e", + "Explanation": "\"the distance to be covered = sum of their lengths = 420 + 640 = 1060 m . relative speed = 72 - 36 = 36 kmph = 36 * 5 / 18 = 10 mps . time required = d / s = 1060 / 10 = 106 sec . answer : e\"" + }, + { + "Answer": 6.353999999999999, + "Options": "['a ) 7.354 m', 'b ) 8.354 m', 'c ) 6.354 m', 'd ) 9.354 m', 'e ) 5.354 m']", + "Correct": "c", + "Explanation": "for perimeter of all hexagon = 6 * ( 3 + 8 + 13 + . . . . . . . . . . . 20 th term . ) sum will be 6060 mm and for length of one diagonal find 20 th term = 98 so total length = 6060 + 294 = 6354 mm = 6.354 m answer : c" + }, + { + "Answer": 1.9998400127989762, + "Options": "a ) 6 sec , b ) 7 sec , c ) 8 sec , d ) 9 sec , e ) 2 sec", + "Correct": "e", + "Explanation": "\"t = 60 / 36 * 18 / 5 = 2 sec answer : e\"" + }, + { + "Answer": 9.999999999999998, + "Options": "a ) 7 hours , b ) 8 hours , c ) 9 hours , d ) 10 hours , e ) 11 hours", + "Correct": "d", + "Explanation": "pipe a fills the tank normally in 2 hours . therefore , it will fill \u00bd of the tank in an hour . let the leak take x hours to empty a full tank when pipe a is shut . therefore , the leak will empty of the tank in an hour . the net amount of water that gets filled in the tank in an hour when pipe a is open and when there is a leak = of the tank . \u2014 ( 1 ) when there is a leak , the problem states that pipe a takes two and a half hours to fill the tank . i . e . hours . therefore , in an hour , of the tank gets filled . \u2013 ( 2 ) equating ( 1 ) and ( 2 ) , we get = > = > x = 10 hours . the problem can also be mentally done as follows . pipe a takes 2 hours to fill the tank . therefore , it fills half the tank in an hour or 50 % of the tank in an hour . when there is a leak it takes 2 hours 30 minutes for the tank to fill . i . e hours to fill the tank or or 40 % of the tank gets filled . on account of the leak , ( 50 - 40 ) % = 10 % of the water gets wasted every hour . therefore , the leak will take 10 hours to drain a full tank . answer : d" + }, + { + "Answer": 25, + "Options": "a ) 25 m , b ) 45 m , c ) 32 m , d ) 50 m , e ) 62 m", + "Correct": "a", + "Explanation": "\"new speed = 5 / 6 th of usual speed new time = 6 / 5 th of usual time 6 / 5 ut - ut = 5 m ut / 5 = 5 m ut = 25 m answer is a\"" + }, + { + "Answer": 8, + "Options": "a ) 13 , b ) 17 , c ) 18 , d ) 8 , e ) 12", + "Correct": "d", + "Explanation": "\"let the leak can empty the full tank in x hours 1 / 4 - 1 / x = 1 / 8 = > 1 / x = 1 / 4 - 1 / 8 = ( 2 - 1 ) / 8 = 1 / 8 = > x = 8 . answer : d\"" + }, + { + "Answer": 10, + "Options": "a ) 10 days , b ) 5 days , c ) 15 days , d ) 12 days , e ) 10 days", + "Correct": "a", + "Explanation": "explanation : after 13 days , 100 men left , therefore 5 days * 200 men = x days * 100 men x = 10 days answer : option a" + }, + { + "Answer": 90, + "Options": "a ) 90 , b ) 45 , c ) 50 , d ) 55 , e ) 60", + "Correct": "a", + "Explanation": "\"a - b = 120 miles b - c = 60 miles avg speed = 30 miles time taken for a - b 3 t and b - c be t avg speed = ( 120 + 60 ) / total time 30 = 180 / 4 t t = 90 b - c = 90 mph answer a\"" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 5 , c ) 4 , d ) 2 , e ) 6", + "Correct": "e", + "Explanation": "\"a rate = 1 / 9 b rate = 1 / 18 ( a + b ) rate = ( 1 / 9 ) + ( 1 / 18 ) = 1 / 6 a & b finish the work in 6 days correct option is e\"" + }, + { + "Answer": 12.000000000000002, + "Options": "a ) 8 kmph , b ) 9 kmph , c ) 12 kmph , d ) 14 kmph , e ) 16 kmph", + "Correct": "c", + "Explanation": "let the distance travelled by x km . then , x - x = 2 10 15 3 x - 2 x = 60 x = 60 km . time taken to travel 60 km at 10 km / hr = 60 hrs = 6 hrs . 10 so , robert started 6 hours before 2 p . m . i . e . , at 8 a . m . required speed = 60 kmph . = 12 kmph . 5 c" + }, + { + "Answer": 3, + "Options": "a ) 2.25 . , b ) 3.00 . , c ) 4.5 . , d ) 5.225 . , e ) 6.25 .", + "Correct": "b", + "Explanation": "number of hours in 28 days = 28 * 24 number of 30 mins in 28 days = 28 * 24 * 2 number of computers built every 30 mins = 4032 / ( 28 * 24 * 2 ) = 3 answer b" + }, + { + "Answer": 8.999280057595392, + "Options": "a ) 16 seconds , b ) 34 seconds , c ) 9 seconds , d ) 12 seconds , e ) 15 seconds", + "Correct": "c", + "Explanation": "\"speed of the boat downstream = 14 + 2 = 16 kmph = 16 * 5 / 18 = 40 / 9 m / s hence time taken to cover 40 m = 40 * 9 / 40 = 9 seconds . answer : c\"" + }, + { + "Answer": 11, + "Options": "a ) 2 , b ) 8 , c ) 9 , d ) 11 , e ) 14", + "Correct": "d", + "Explanation": "\"48 - - - 3 ds = 16 ? - - - - 1 18 - - - - 3 us = 6 ? - - - - 1 m = ? m = ( 16 + 6 ) / 2 = 11 answer : d\"" + }, + { + "Answer": 20, + "Options": "a ) 20 , b ) 30 , c ) 15 , d ) 10 , e ) 80", + "Correct": "a", + "Explanation": "\"answer = 2 * 10 = 20 answer = a\"" + }, + { + "Answer": 6, + "Options": "a ) 25 sec , b ) 23 sec , c ) 34 sec , d ) 22 sec , e ) 6 sec", + "Correct": "e", + "Explanation": "\"explanation : d = 150 m + 150 m = 300 m rs = 95 + 85 = 180 * 5 / 18 = 50 t = 300 * 1 / 50 = 6 sec answer : option e\"" + }, + { + "Answer": 11, + "Options": "a ) 7 , b ) 9 , c ) 11 , d ) 13 , e ) 15", + "Correct": "c", + "Explanation": "\"the work done by p in 1 day = 1 / 21 let work done by q in 1 day = q q \u00d7 ( 110 / 100 ) = 1 / 21 q = 100 / ( 21 \u00d7 110 ) = 10 / ( 21 \u00d7 11 ) the work done by p and q in 1 day = 1 / 21 + 10 / ( 21 \u00d7 11 ) = 21 / ( 21 \u00d7 11 ) = 1 / 11 p and q together can do the work in 11 days . the answer is c .\"" + }, + { + "Answer": 55.5, + "Options": "a ) 54.0 , b ) 54.9 , c ) 55.5 , d ) 57.0 , e ) 63.0", + "Correct": "c", + "Explanation": "let the distance travelled in the first hour be x . thus , 1.2 x = 18 , x = 15 . now , the distance travelled in the 3 rd hour = 18 + 1 / 4 \u2217 18 = the only option ending with a 0.5 in the decimal place is c . answer : c" + }, + { + "Answer": 19, + "Options": "a ) 31 , b ) 28 , c ) 19 , d ) 33 , e ) 25", + "Correct": "c", + "Explanation": "c 19 rd day 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 = 190 thus our anniversary falls on the 19 rd day of the month . you can apply other formulas to shorten the process but that is the simplest way to do it ." + }, + { + "Answer": 2.9508196721311477, + "Options": "a ) 2.00 seconds , b ) 2.20 seconds , c ) 2.50 seconds , d ) 2.95 seconds , e ) 3.00 seconds", + "Correct": "d", + "Explanation": "by guess it is clear that the time taken will be less than 3 seconds and very near to it . therefore , answer 2.95 seconds will be correct . answer - d" + }, + { + "Answer": 12, + "Options": "a ) 10 , b ) 12 , c ) 8 , d ) 15 , e ) 18", + "Correct": "b", + "Explanation": "\"explanation : let the required hours needed be x more pumps , less hours ( indirect proportion ) more days , less hours ( indirect proportion ) hence we can write as ( pumps ) 3 : 4 ( days ) 2 : 1 } : : x : 8 \u21d2 3 \u00d7 2 \u00d7 8 = 4 \u00d7 1 \u00d7 x \u21d2 3 \u00d7 2 \u00d7 2 = x \u21d2 x = 12 answer : option b\"" + }, + { + "Answer": 228, + "Options": "a ) 243 cm 2 , b ) 239 cm 2 , c ) 267 cm 2 , d ) 230 cm 2 , e ) 228 cm 2", + "Correct": "e", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 12 ) = 228 cm 2 answer : e\"" + }, + { + "Answer": 6.26, + "Options": "a ) 5.56 , b ) 5.58 , c ) 6.0 , d ) 6.23 , e ) 6.26", + "Correct": "e", + "Explanation": "for every 5 min watch looses 2 secs , so for 60 ms it looses 24 sec , i . e . , for 1 hr it looses 24 secs 8.30 amto 6.30 pm = 10 hr it looses 240 secs i . e . , 4 mins , hence d watch will show 6.26 answer : e" + }, + { + "Answer": 6.386585847325762, + "Options": "a ) 5 , b ) 6.4 , c ) 7 , d ) 8 , e ) 9", + "Correct": "b", + "Explanation": "\"speed of train relative to man = 56 + 6 = 62 km / hr . = 62 * 5 / 18 = 155 / 9 m / sec . time taken to pass the men = 110 * 9 / 155 = 6.4 sec . answer : option b\"" + }, + { + "Answer": 5, + "Options": "a ) 5 , b ) 4 , c ) 12 , d ) 40 , e ) 160", + "Correct": "a", + "Explanation": "\"actual miles / gallon is = 520 / 40 = 13 miles / gallon . current engine miles / gallon is 8 miles / gallon . additional 5 miles / gallon is required to match the actual mileage . imo option a .\"" + }, + { + "Answer": 4, + "Options": "a ) 1 hr , b ) 2 hrs , c ) 3 hrs , d ) 4 hrs , e ) 5 hrs", + "Correct": "d", + "Explanation": "\"speed downstream = ( 25 + 5 ) km / hr = 30 km / hr . time taken to travel 120 km downstream = 120 / 30 hrs = 4 hrs . answer : d\"" + }, + { + "Answer": 3, + "Options": "a ) 3 minutes , b ) 70 seconds , c ) 60 seconds , d ) 100 seconds , e ) 120 seconds", + "Correct": "a", + "Explanation": "\"2 / 3 filled in 2 mint 1 / 3 filled in 1 mint then 2 / 3 + 1 / 3 = 2 + 1 = 3 minutes answer : a\"" + }, + { + "Answer": 88, + "Options": "a ) a ) 77 , b ) b ) 99 , c ) c ) 66 , d ) d ) 55 , e ) e ) 88", + "Correct": "e", + "Explanation": "\"( 72 * 8 ) / 30 = ( x * 6 ) / 50 = > x = 160 160 \u2013 72 = 88 answer : e\"" + }, + { + "Answer": 7200, + "Options": "a ) 7,200 , b ) 8,880 , c ) 10,800 , d ) 28,800 , e ) 48,000", + "Correct": "a", + "Explanation": "\"seconds in 1 hours : 60 s in 1 min 60 min in 1 hr 60 * 60 = 3600 sec in 1 hr 2 * 3600 = 28,800 answer : a\"" + }, + { + "Answer": 7.999360051195905, + "Options": "a ) 4 sec , b ) 7 sec , c ) 2 sec , d ) 6 sec , e ) 8 sec", + "Correct": "e", + "Explanation": "\"t = 80 / 36 * 18 / 5 = 8 sec answer : e\"" + }, + { + "Answer": 42, + "Options": "a ) 52 days , b ) 47 days , c ) 42 days , d ) 37 days , e ) 32 days", + "Correct": "c", + "Explanation": "30 * 70 = 50 * x x = 42 answer : c" + }, + { + "Answer": 4.2857142857142865, + "Options": "a ) 4.3 hrs , b ) 8.9 hrs , c ) 2.9 hrs , d ) 7.2 hrs , e ) 8.6 hrs", + "Correct": "a", + "Explanation": "\"net part filled in 1 hour = ( 1 / 3 - 1 / 10 ) = 7 / 30 the cistern will be filled in 30 / 7 hrs i . e . , 4.3 hrs . answer : a\"" + }, + { + "Answer": 12, + "Options": "a ) 12 km , b ) 15 km , c ) 18 km , d ) 24 km , e ) data inadequate", + "Correct": "a", + "Explanation": "time = distance / speed so , let the distance to the level road from home be x km and the distance to the hillock from the level road be y km so , ( x / 4 + y / 3 ) + ( y / 6 + x / 4 ) = 6 x + y = 12 km . answer : a" + }, + { + "Answer": 4223.999999999999, + "Options": "a ) 2187 m , b ) 3704 m , c ) 4179 m , d ) 4224 m , e ) 4297 m", + "Correct": "d", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 3000 resolutions . = 3000 * 2 * 22 / 7 * 22.4 = 422400 cm = 4224 m answer : d\"" + }, + { + "Answer": 500.00000000000006, + "Options": "a ) 535 m , b ) 178 m , c ) 186 m , d ) 168 m , e ) 500 m", + "Correct": "e", + "Explanation": "\"speed = 60 * 5 / 18 = 50 / 3 m / sec length of the train = speed * time = 50 / 3 * 30 = 500 m answer : e\"" + }, + { + "Answer": 21, + "Options": "a ) 15 , b ) 17 , c ) 19 , d ) 21 , e ) 23", + "Correct": "d", + "Explanation": "\"ac = 11 and ab = 5 , so bc = 6 . bc = 3 cd so cd = 2 . the length of ae is ab + bc + cd + de = 5 + 6 + 2 + 8 = 21 the answer is d .\"" + }, + { + "Answer": 32400, + "Options": "a ) 480 , b ) 2,880 , c ) 4,800 , d ) 28,800 , e ) 32,400", + "Correct": "e", + "Explanation": "\"seconds in 1 hours : 60 s in 1 min 60 min in 1 hr 60 * 60 = 3600 sec in 1 hr 9 * 3600 = 32,400 answer : e\"" + }, + { + "Answer": 23.99808015358771, + "Options": "a ) 50 sec , b ) 58 sec , c ) 24 sec , d ) 22 sec , e ) 21 sec", + "Correct": "c", + "Explanation": "\"explanation : relative speed = 45 + 30 = 75 km / hr = 750 / 36 m / s = 125 / 6 m / s we are calculating the time taken by the slower train to pass the driver of the faster one . hence the distance = length of the smaller train = 500 m time = distance / speed = 500 / ( 125 / 6 ) = 24 sec answer : option c\"" + }, + { + "Answer": 13.998880089592832, + "Options": "a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", + "Correct": "b", + "Explanation": "the speeds are 90000 / 3600 = 25 m / s and 72000 / 3600 = 20 m / s the relative speed is 45 m / s . time = 630 / 45 = 14 seconds the answer is b ." + }, + { + "Answer": 1240, + "Options": "a ) $ 1220 , b ) $ 1240 , c ) $ 1300 , d ) $ 1340 , e ) $ 1880", + "Correct": "b", + "Explanation": "i get b . this question seems too straightforward for 600 + . am i missing something ? 100 first - time visits - - > 100 ( 10 ) = $ 1000 30 + 10 = 40 subsequent visits - - > 40 ( 8 ) = $ 320 total revenue : 1000 + 320 = $ 1320 the answer is b ." + }, + { + "Answer": 3, + "Options": "a ) 2 hours . , b ) 3 hours . , c ) 4 hours . , d ) 5 hours . , e ) 6 hours .", + "Correct": "b", + "Explanation": "\"speed downstream = ( 16 + 4 ) km / hr = 20 km / hr . time taken to travel 60 km downstream = 60 / 20 = 3 hours . answer : b\"" + }, + { + "Answer": 50, + "Options": "a ) 45 , b ) 25 , c ) 37 , d ) 41 , e ) 50", + "Correct": "e", + "Explanation": "\"work done by mahesh in 50 days = 20 * 1 / 50 = 2 / 5 remaining work = 1 - 2 / 5 = 3 / 5 3 / 5 work is done by rajesh in 30 days whole work will be done by rajesh is 30 * 5 / 3 = 50 days answer is e\"" + }, + { + "Answer": 30, + "Options": "a ) 40 mins , b ) 35 mins , c ) 30 mins , d ) 32 mins , e ) 36 mins", + "Correct": "c", + "Explanation": "the last 15 minutes only pipe a was open . since it needs 1 hour to fill the tank , then in 15 minutes it fills 1 / 4 th of the tank , thus 3 / 4 of the tank is filled with both pipes open . the combined rate of two pipes is 1 + 4 = 5 tanks / hour , therefore to fill 3 / 4 th of the tank they need ( time ) = ( work ) / ( rate ) = ( 3 / 4 ) / 5 = 3 / 20 hours = 15 minutes . total time = 15 + 15 = 30 minutes . answer : c" + }, + { + "Answer": 20.396078054371138, + "Options": "a ) 25 miles , b ) 20.4 miles , c ) 30 miles , d ) 32 miles , e ) 33 miles", + "Correct": "b", + "Explanation": "\"using pythagoras we have one side i , e total distance traveled in north direction = 15 + 5 = 20 m other being the base ie distance traveled west - distance traveled eat = 8 - 4 = 4 m now this third side or the distance between town a and town b = 20 ^ 2 + 4 ^ 2 = sq root 416 = 20.4 miles answer : b\"" + }, + { + "Answer": 60, + "Options": "a ) 11 , b ) 50 , c ) 60 , d ) 27 , e ) 18", + "Correct": "c", + "Explanation": "\"explanation : we know 60 min = 1 hr total northward laxmi ' s distance = 25 kmph x 1 hr = 25 km total southward prasanna ' s distance = 35 kmph x 1 hr = 35 km total distance between prasanna and laxmi is = 25 + 35 = 60 km . answer : c\"" + }, + { + "Answer": 15, + "Options": "a ) 18 days , b ) 15 days , c ) 26.67 days , d ) 16 days , e ) 12 days", + "Correct": "b", + "Explanation": "\"let x = the number of days taken to complete the project . the amount of work done by a is ( x - 10 ) * ( 1 / 20 ) . the amount of work done by b is ( x ) * ( 1 / 30 ) . ( 1 / 10 ) * ( x - 10 ) + ( 1 / 30 ) * ( x ) = 1 ( x / 10 ) + ( x / 30 ) - 1 ) = 1 4 x / 30 = 2 x = 15 therefore , the answer is b : 15 .\"" + }, + { + "Answer": 65.45454545454545, + "Options": "a ) 70 , b ) 72 , c ) 74 , d ) 65 , e ) 78", + "Correct": "d", + "Explanation": "time to cover 1 kilometer at 80 kilometers per hour is 1 / 80 hours = 3,600 / 80 seconds = 45 seconds ; time to cover 1 kilometer at regular speed is 45 + 10 = 55 seconds = 55 / 3,600 hours = 1 / 65 hours ; so , we get that to cover 1 kilometer 1 / 65 hours is needed - - > regular speed 65 kilometers per hour ( rate is a reciprocal of time or rate = distance / time ) . answer : d" + }, + { + "Answer": 30, + "Options": "a ) 25 , b ) 30 , c ) 35 , d ) 40 , e ) 45", + "Correct": "b", + "Explanation": "\"the time is the distance / speed . the time difference is 1 hour . 210 / v - 210 / ( v + 5 ) = 1 210 ( v + 5 ) - 210 v = ( v ) ( v + 5 ) 1050 = ( v ) ( v + 5 ) 30 * 35 = ( v ) ( v + 5 ) v = 30 mph the answer is b .\"" + }, + { + "Answer": 18, + "Options": "a ) 17 , b ) 18 , c ) 20 , d ) 22 , e ) 33", + "Correct": "b", + "Explanation": "b 18 5 th date of a month is tuesday friday will be on = 5 + 3 = 8 th of a month 1 st friday is on 1 st of a month 2 nd friday is on 8 th of a month 3 rd friday will be on 15 th of a month 3 days after 15 th = 15 + 3 = 18" + }, + { + "Answer": 8, + "Options": "a ) 8 , b ) 4 , c ) 6 , d ) 12 , e ) 10", + "Correct": "a", + "Explanation": "( a + b + c ) ' s 1 day work = 1 / 6 ; ( a + b ) ' s 1 day work = 1 / 8 ( b + c ) ' s 1 day work = 1 / 12 ( a + c ) ' s 1 day work = ( 2 * 1 / 6 ) - ( 1 / 8 + 1 / 12 ) = ( 1 / 3 - 5 / 24 ) = 1 / 8 so , a and c together will do the work in 8 days . answer a" + }, + { + "Answer": 120.87912087912093, + "Options": "a ) 120.88 , b ) 120.13 , c ) 111.22 , d ) 120.0 , e ) 111.12", + "Correct": "a", + "Explanation": "\"a runs 1000 m while b runs 910 m and c runs 800 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 800 ) / 910 = 879.12 m . b can give c = 1000 - 879.12 = 120.88 m . answer : a\"" + }, + { + "Answer": 20, + "Options": "a ) 20 kmh , b ) 25 kmh , c ) 30 kmh , d ) 35 kmh , e ) 40 kmh", + "Correct": "a", + "Explanation": "\"time = distance / speed difference in time = 1 / 2 hrs 30 / x - 30 / ( x + 10 ) = 1 / 2 substitute the value of x from the options . - - > x = 20 - - > 30 / 20 - 30 / 30 = 3 / 2 - 1 = 1 / 2 answer : a\"" + }, + { + "Answer": 10.909090909090908, + "Options": "a ) 12 , b ) 14 , c ) 10.9 , d ) 20 , e ) 18", + "Correct": "c", + "Explanation": "\"sol . speed of the first train = [ 120 / 10 ] m / sec = 12 m / sec . speed of the second train = [ 120 / 12 ] m / sec = 10 m / sec . relative speed = ( 12 + 10 ) = m / sec = 22 m / sec . \u2234 required time = ( 120 + 120 ) / 22 secc = 10.9 sec . answer c\"" + }, + { + "Answer": 45, + "Options": "a ) 30 min , b ) 35 min , c ) 45 min , d ) 50 min , e ) 55 min", + "Correct": "c", + "Explanation": "\"there are 9 hours in between 9 a . m . to 6 p . m . 9 * 5 = 45 minutes . answer : c\"" + }, + { + "Answer": 2.5, + "Options": "a ) 1 km , b ) 3 km , c ) 4 km , d ) 2.5 km , e ) 6 km", + "Correct": "d", + "Explanation": "\"distance = 5 * 30 / 60 = 2.5 km answer is d\"" + }, + { + "Answer": 72, + "Options": "a ) 24 km , b ) 30 km , c ) 48 km , d ) 72 km , e ) 15 km", + "Correct": "d", + "Explanation": "\"speed of down stream = 10 + 2 = 12 kmph speed of upstream = 10 - 2 = 8 kmph let the required distance be xkm x / 12 + x / 8 = 15 2 x + 3 x = 360 x = 72 km answer is d\"" + }, + { + "Answer": 22, + "Options": "a ) 11 , b ) 12 , c ) 22 , d ) 24 , e ) 44", + "Correct": "c", + "Explanation": "22 times in a day . 12,1 hours 60 / 11 minutes , 2 hours 120 / 11 minutes , . . . so on till 12 ( 11 hours 660 / 11 minutes ) answer : c" + }, + { + "Answer": 21, + "Options": "a ) 6 hours , b ) 8 hours , c ) 14 hours , d ) 21 hours , e ) 32 hours", + "Correct": "d", + "Explanation": "\"i believe the answer is d . please see below for explanation . if jamshid can paint a dence in 50 percent less time then taimour we can infer the following rate j = 2 t if working together they can do the job in 8 hours we can infer 1 = 2 t + t * 7 = > 1 / 21 working alone taimour can do the job in 1 = 1 / 21 * hours = > 21 answer d\"" + }, + { + "Answer": 108, + "Options": "a ) 96 , b ) 110 , c ) 100 , d ) 90 , e ) 108", + "Correct": "e", + "Explanation": "\"capacity of the tank = ( 12 \u00e3 \u2014 81 ) litre number of buckets required of capacity of each bucket is 17 litre = 12 \u00e3 \u2014 81 / 9 = 12 \u00e3 \u2014 9 = 108 answer is e\"" + }, + { + "Answer": 20, + "Options": "a ) 20 , b ) 17 , c ) 15 , d ) 18 , e ) 12", + "Correct": "a", + "Explanation": "\"t = 18 / 54 * 60 = 20 answer : a\"" + }, + { + "Answer": 36, + "Options": "a ) 36 mph , b ) 40 mph , c ) 44 mph , d ) 52 mph , e ) 58 mph", + "Correct": "a", + "Explanation": "\"so the answer is plainly a . . . . we have a general relation for speed , time and distance : v ( velocity ) * t ( time ) = d ( distance ) for first part we have d = 60 miles , and v = 20 mph so we can obtain time : 20 * t = 60 or t = 60 / 20 = 3 hours the needed time to cover 60 miles in the same way we should divide 120 to 60 to find the needed time to cover 120 miles , so t = 2 hours so the total time for covering total distance would be 3 + 2 = 5 hours and total distance is 60 + 120 = 180 miles final stage : average speed is total distance divide to total time : 180 / 5 = 36 miles per hour . . . .\"" + }, + { + "Answer": 50, + "Options": "a ) 32 kmph , b ) 50 kmph , c ) 30 kmph , d ) 45 kmph , e ) 65 kmph", + "Correct": "b", + "Explanation": "\"us = 20 ds = 80 m = ( 20 + 80 ) / 2 = 50 answer : b\"" + }, + { + "Answer": 8, + "Options": "a ) 8 , b ) 10 , c ) 11 , d ) 12 , e ) 13", + "Correct": "a", + "Explanation": "\"3 pumps take 16 hrs total ( 8 hrs a day ) if 1 pump will be working then , it will need 16 * 3 = 48 hrs 1 pump need 48 hrs if i contribute 6 pumps then 48 / 6 = 8 hrs . answer : a\"" + }, + { + "Answer": 5, + "Options": "a ) 5 min , b ) 2 min , c ) 3 min , d ) 1 min , e ) 10 min", + "Correct": "a", + "Explanation": "\"full cistern filled in = 55 minutes 1 / 11 part filled in = 55 * 1 / 11 = 5 minutes answer is a\"" + }, + { + "Answer": 205, + "Options": "['a ) 286 m', 'b ) 899 m', 'c ) 200 m', 'd ) 205 m', 'e ) 187 m']", + "Correct": "d", + "Explanation": "2 ( l + 95 ) = 600 = > l = 205 m answer : d" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "a", + "Explanation": "\"let rate of one worker be r = > ( 6 * r ) * 8 = 1 ( rate * time = work ) = > r = 1 / 48 = > work remaining after 3 days 1 - ( 3 * 6 ) / 48 = 30 / 48 after 4 ppl joined in ( ( 6 + 4 ) * time ) / 48 = 30 / 48 time d = 3 days to finish the task imo a\"" + }, + { + "Answer": 810, + "Options": "a ) 186 , b ) 188 , c ) 810 , d ) 167 , e ) 861", + "Correct": "c", + "Explanation": "\"12 men 120 acres 36 days 54 men ? 54 days 120 * 54 / 12 * 54 / 36 10 * 54 * 3 / 2 54 * 15 = 810 answer : c\"" + }, + { + "Answer": 200, + "Options": "a ) 270 , b ) 277 , c ) 200 , d ) 257 , e ) 271", + "Correct": "c", + "Explanation": "\"relative speed = ( 72 - 36 ) * 5 / 18 = 2 * 5 = 10 mps . distance covered in 27 sec = 20 * 10 = 200 m . the length of the faster train = 200 m . answer : c\"" + }, + { + "Answer": 49.99999999999996, + "Options": "a ) 10 days , b ) 20 days , c ) 30 days , d ) 40 days , e ) 50 days", + "Correct": "e", + "Explanation": "b worked for 6 days = > in 6 days b completed = 6 x 1 15 = 2 5 th work a worked for first 6 days and later 4 days = > in 10 days a completed = 10 x 1 20 = 1 2 of the work total work done by a and b = 2 5 + 1 2 = 4 + 5 10 = 9 10 balance work = 1 - 9 10 = 1 10 th of total work balance work was completed by c in 5 days c can do 1 / 10 of the work in 5 days . therefore c alone can do the work in 50 days . e" + }, + { + "Answer": 91.1111111111111, + "Options": "a ) 91 seconds , b ) 102 seconds , c ) 177 seconds , d ) 200 seconds , e ) 270 seconds", + "Correct": "a", + "Explanation": "tap 1 : 270 secs tap 2 : 274 secs tap 3 : 276 secs considering the average of these 3 taps : 273.33 secs . so 1 tap can fill the tank in 273.33 secs , so 3 taps can fill the tank in 273.33 / 3 = 91.11 secs . closest answer is a ." + }, + { + "Answer": 40, + "Options": "a ) 70 days , b ) 55 days , c ) 24 days , d ) 40 days , e ) 11 days", + "Correct": "d", + "Explanation": "\"2 c = 1 / 15 + 1 / 12 \u2013 1 / 10 = 1 / 20 c = 1 / 40 = > 40 days answer : d\"" + }, + { + "Answer": 40, + "Options": "a ) 30 , b ) 32 , c ) 36 , d ) 40 , e ) 45", + "Correct": "d", + "Explanation": "originally 1 et there be x men . more men , less days ( x + 8 ) : x \u2237 60 : 50 so , x + 8 / x = 60 / 50 or x = 40 . answer : d" + }, + { + "Answer": 6000, + "Options": "a ) 6000 , b ) 6410 , c ) 6440 , d ) 6500 , e ) 6800", + "Correct": "a", + "Explanation": "\"number of bricks = volume of wall / volume of bricks = 750 x 600 x 22.5 / 25 x 11.25 x 6 = = 6000 answer : a\"" + }, + { + "Answer": 21, + "Options": "a ) 18 , b ) 19 , c ) 20 , d ) 21 , e ) 12", + "Correct": "d", + "Explanation": "\"explanation : 22 trees have 21 gaps between them , required distance ( 441 / 21 ) = 21 option d\"" + }, + { + "Answer": 2400, + "Options": "a ) 20 ft , b ) 25 ft , c ) 750 ft , d ) 900 ft , e ) 2400 ft", + "Correct": "e", + "Explanation": "point to note : both the wheels would have traveled the same distance . now consider , no . of revolutions made by back wheel as x , which implies that the number of revolutions made by the front wheel is ( x + 5 ) . equating the distance traveled by front wheel to back wheel : ( x + 5 ) * 30 = x * 32 . ( formula for calculating the distance traveled by each wheel is : # of revolutions * circumference . ) solving this eqn . gives x = 75 . sub x = 75 either in ( x + 5 ) * 30 or in x * 32 to get the distance , which is 2400 . so the correct choice is e ." + }, + { + "Answer": 0.5, + "Options": "a ) 1 kmph , b ) 0.5 kmph , c ) 3 kmph , d ) 2.5 kmph , e ) 3.5 kmph", + "Correct": "b", + "Explanation": "\"rate upstream = ( 1 / 20 * 60 ) = 3 kmph rate down stream = 1 / 15 * 60 = 4 kmph rate of the current = \u00bd ( 4 - 3 ) = 0.5 kmph answer : b\"" + }, + { + "Answer": 220, + "Options": "a ) 202 , b ) 220 , c ) 210 , d ) 212 , e ) 222", + "Correct": "b", + "Explanation": "in 1 day , they are at right angles 44 times . in 5 days , they are at right angles 220 times . answer : option b" + }, + { + "Answer": 28.79769618430526, + "Options": "a ) 28.8 sec , b ) 16.8 sec , c ) 15.2 sec , d ) 25.4 sec , e ) 16.2 sec", + "Correct": "a", + "Explanation": "\"d = 150 + 250 = 400 m s = 50 * 5 / 18 = 125 / 9 t = 400 * 125 / 9 = 28.8 sec answer : a\"" + }, + { + "Answer": 15, + "Options": "a ) 150 , b ) 50 , c ) 10 , d ) 15 , e ) 12", + "Correct": "d", + "Explanation": "speed of train = distance covered / time . = ( 50 + 100 ) / 10 = 15 m / sec . answer : d" + }, + { + "Answer": 10, + "Options": "a ) 22 , b ) 20 , c ) 88 , d ) 71 , e ) 10", + "Correct": "e", + "Explanation": "x - - - - - - - 12 ( x + 10 ) - - - - 6 x * 12 = ( x + 10 ) 6 x = 10 \\ answer : e" + }, + { + "Answer": 92, + "Options": "a ) 70 m , b ) 60 m , c ) 80 m , d ) 65 m , e ) 92 m", + "Correct": "e", + "Explanation": "\"speed of a : speed of b = 4 : 1 means in a race of 4 m a gains 3 m . then in a race of 69 m he gains 69 * ( 4 / 3 ) i . e 92 m answer : e\"" + }, + { + "Answer": 600.048, + "Options": "a ) 200 m , b ) 300 m , c ) 600 m , d ) 500 m , e ) 400 m", + "Correct": "c", + "Explanation": "72 kmph = 72 * 5 / 18 = 20 mps dist = speed * time = 20 * 30 = 600 m . answer c" + }, + { + "Answer": 144, + "Options": "a ) 229 , b ) 144 , c ) 278 , d ) 126 , e ) 112", + "Correct": "b", + "Explanation": "\"s = 240 / 6 * 18 / 5 = 144 kmph answer : b\"" + }, + { + "Answer": 660, + "Options": "a ) 1 km , b ) 500 mts , c ) 660 mts , d ) 2 km , e ) 250 mts", + "Correct": "c", + "Explanation": "\"let the each distance be x km total distance = 3 x then total time , ( x / 2 ) + ( x / 6 ) + ( x / 6 ) = 11 / 60 x = 0.22 total distance = 3 * 0.22 = 0.66 km = 660 meters correct option is c\"" + }, + { + "Answer": 2.25, + "Options": "a ) 1.75 , b ) 2.25 , c ) 2.5 , d ) 2.75 , e ) 3.25", + "Correct": "b", + "Explanation": "let the distance to the top be x , so the total distance traveled by natasha is 2 x . the total time is 4 + 2 = 6 hours the average speed = total distance / total time taken = 2 x / 6 = x / 3 the average speed of the complete journey is 3 km / hour x / 3 = 3 x = 9 km the average speed while climbing = distance / time = 9 / 4 = 2.25 km / h the answer is b ." + }, + { + "Answer": 40, + "Options": "a ) p = 26.7 , b ) p = 30.0 , c ) p = 40.0 , d ) p = 53.3 , e ) p = 60.0", + "Correct": "c", + "Explanation": "\"veritas prepofficial solution correct answer : c using the formula : time = distance / rate , we find that mike takes 4 hours to cover the first 320 miles of his trip . since the 2 nd 320 miles take 200 % longer than the first , it takes mike 8 hours longer , or 12 hours . ( note : 200 % longer than the first half is not 200 % of the first half . ) the overall time is 4 hours + 12 hours or 16 hours . since the definition of average rate = total distance traveled / total time of travel , mike ' s average rate = 640 / 16 or 40 miles per hour . answer choice c is correct .\"" + }, + { + "Answer": 112.5, + "Options": "a ) 121.5 , b ) 122 , c ) 122.5 , d ) 113 , e ) 112.5", + "Correct": "e", + "Explanation": "\"e 120 * t = 1 km = > t = 1 / 120 km / h v * ( t + 2 / 3600 ) = 1 v ( 1 / 120 + 2 / 3600 ) = 1 = > v = 112.5 km / h\"" + }, + { + "Answer": 82.5, + "Options": "a ) a . 43 , b ) b . 45 , c ) c . 55 , d ) d . 68 , e ) e . 83", + "Correct": "e", + "Explanation": "\"55 workers working already let x be the total men required to finish the task in next 200 days 2.5 km done hence remaining is 12.5 km also , work has to be completed in next 200 days ( 300 - 100 = 200 ) we know that , proportion of men to distance is direct proportion and , proportion of men to days is inverse proportion hence , x = ( 55 * 12.5 * 100 ) / ( 2.5 * 200 ) thus , x = 137.5 that is approximately 138 thus , more men needed to finish the task = 138 - 55 = 83 hence answer is e\"" + }, + { + "Answer": 13.090909090909092, + "Options": "a ) 12.9 , b ) 12.0 , c ) 12.5 , d ) 12.2 , e ) 13.1", + "Correct": "e", + "Explanation": "\"1200 * 18 = 1650 * x x = 13.1 answer : e\"" + }, + { + "Answer": 22.83882181415011, + "Options": "a ) 23 , b ) 50 , c ) 60 , d ) 70 , e ) 80", + "Correct": "a", + "Explanation": "\"let speed of car r be = x then speed of car p = x + 10 a / q , ( 150 / x ) - ( 150 / ( x + 10 ) ) = 2 solving for x = 23 miles \\ hr . a\"" + }, + { + "Answer": 15, + "Options": "a ) 15 , b ) 30 , c ) 28 , d ) 24 , e ) 32", + "Correct": "a", + "Explanation": "number of workers = 10 * ( 25 - 10 ) / 10 = 15 answer is a" + }, + { + "Answer": 50, + "Options": "a ) 32 kmph , b ) 34 kmph , c ) 30 kmph , d ) 50 kmph , e ) 65 kmph", + "Correct": "d", + "Explanation": "\"us = 45 ds = 55 m = ( 45 + 55 ) / 2 = 50 answer : d\"" + }, + { + "Answer": 39, + "Options": "a ) 4 , b ) 9 , c ) 39 , d ) 48 , e ) 63", + "Correct": "c", + "Explanation": "\"given : z = s ^ 2 + 2 s for 0 \u2264 s \u2264 7 z ( 4 ) = 4 ^ 2 + 2 * 4 = 24 z ( 7 ) = 7 ^ 2 + 2 * 7 = 63 therefore z ( 7 ) - z ( 3 ) = 63 - 24 = 39 km / hr option c\"" + }, + { + "Answer": 240, + "Options": "a ) 100 kg , b ) 120 kg , c ) 89 kg , d ) 80 kg , e ) 240 kg", + "Correct": "e", + "Explanation": "\"volume of water displaced = ( 8 x 3 x 0.01 ) m 3 = 0.24 m 3 . mass of man = volume of water displaced x density of water = ( 0.24 x 1000 ) kg = 240 kg . answer : e\"" + }, + { + "Answer": 6.976744186046512, + "Options": "a ) 7.5 min , b ) 16 min , c ) 20 min , d ) 7 min , e ) 40 min", + "Correct": "d", + "Explanation": "\"d 7 min due to stoppages , it covers 10 km less . time taken to cover 10 km = ( 10 / 86 x 60 ) min = 7 min\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 5 1 / 2 , c ) 6 , d ) 8 , e ) none of these", + "Correct": "a", + "Explanation": "\"b ' s 10 day ' s work = ( 1 / 15 * 10 ) = 2 / 3 remaining work = ( 1 - 2 / 3 ) = 1 / 3 now , 1 / 18 work is done by a in 1 day 1 / 3 work is done by a in ( 12 * 1 / 3 ) = 4 days . correct option : a\"" + }, + { + "Answer": 40, + "Options": "a ) 56 , b ) 40 , c ) 47 , d ) 26 , e ) 25", + "Correct": "b", + "Explanation": "\"explanation : relative speed = 90 + 90 = 180 km / hr ( since both trains are moving in opposite directions ) total distance = 1.1 + . 9 = 2 km time = 2 / 180 hr = 1 / 90 hr = 3600 / 90 seconds = 40 seconds answer : option b\"" + }, + { + "Answer": 6.666666666666667, + "Options": "a ) 3.5 gallons , b ) 2.7 gallons , c ) 6.7 gallons , d ) 4.5 gallons , e ) 7.5 gallons", + "Correct": "c", + "Explanation": "\"each 30 kilometers , 1 gallon is needed . we need to know how many 30 kilometers are there in 200 kilometers ? 200 \u00e3 \u00b7 30 = 6.7 \u00e3 \u2014 1 gallon = 6.7 gallons correct answer is c ) 6.7 gallons\"" + }, + { + "Answer": 47.99999999999998, + "Options": "a ) 96 days , b ) 48 days , c ) 32 days , d ) 24 days , e ) 28 days", + "Correct": "b", + "Explanation": "jake 1 day work = 1 / 16 paul 1 day work = 1 / 24 j + p + h 1 ady work = 1 / 8 1 / 16 + 1 / 24 + 1 / x = 1 / 8 1 / x = 1 / 48 x = 48 so , hari alone can dig the well in 48 days answer : b" + }, + { + "Answer": 20, + "Options": "a ) 18 , b ) 19 , c ) 20 , d ) 22 , e ) 24", + "Correct": "c", + "Explanation": "\"speed ratio = 1 : 5 / 4 = 4 : 5 time ratio = 5 : 4 1 - - - - - - - - 5 4 - - - - - - - - - ? \u00e8 20 answer : c\"" + }, + { + "Answer": 95, + "Options": "a ) 50 \u00b0 f , b ) 76 \u00b0 f , c ) 95 \u00b0 f , d ) 110 \u00b0 f , e ) 120 \u00b0 f", + "Correct": "c", + "Explanation": "let f and c denotes the temparature in fahrenheit anid celcsius respectively . then , ( f - 32 ) / ( 212 - 32 ) = ( c - 0 ) / ( 100 - 0 ) , if c = 35 , then f = 95 . c" + }, + { + "Answer": 0.4444444444444444, + "Options": "a ) 2 / 3 , b ) 2 / 5 , c ) 4 / 9 , d ) 5 / 7 , e ) 4 / 11", + "Correct": "c", + "Explanation": "\"2 / 3 - - - - 12 ? - - - - - 8 = = > 4 / 9 c\"" + }, + { + "Answer": 90, + "Options": "a ) 90 , b ) 85 , c ) 85.5 , d ) 70 , e ) 90", + "Correct": "a", + "Explanation": "\"average speed = distance / time because we are looking for average speed we can pick a distance for the variable d . speed x - y = 100 speed y - z = 75 average speed = total distance / total rate rate = distance / time x = = = = = = = = = = = = = = = = = = = = y = = = = = = = = = = z if x - y is twice the length of y - z then let x - y = 2 d and let y - z = d average speed = 3 d / ( 2 d / 100 ) + ( d / 75 ) 3 d / ( 6 d / 300 ) + ( 4 d / 300 ) 3 d / ( 10 d / 300 ) 900 d / 10 d average speed = 90 answer : a\"" + }, + { + "Answer": 98, + "Options": "['a ) rs . 55.50', 'b ) rs . 67.50', 'c ) rs . 86.50', 'd ) rs . 98.00', 'e ) none of these']", + "Correct": "d", + "Explanation": "solution let length = ( 3 x ) metres and breadth = ( 4 x ) metres . then , 3 x \u00d7 4 x = 9408 \u21d4 12 x 2 = 9408 \u21d4 x 2 = 784 \u21d4 x = 28 . so , length = 84 m and breadth = 112 m . perimeter = [ 2 ( 84 + 112 ) ] m = 392 m . \u2234 cost of fencing = rs . ( 0.25 \u00d7 392 ) = rs . 98.00 . answer d" + }, + { + "Answer": 12.239020878329734, + "Options": "a ) 10.9 sec , b ) 10.1 sec , c ) 10.6 sec , d ) 10.8 sec , e ) 12.24 sec", + "Correct": "e", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 140 + 200 = 340 m . required time = 340 * 9 / 250 = 12.24 sec . answer : e\"" + }, + { + "Answer": 7999.999999999998, + "Options": "a ) 1770 cm , b ) 8000 cm , c ) 7860 cm , d ) 6170 cm , e ) 1870 cm", + "Correct": "b", + "Explanation": "\"number of cubes = 100 \u00e2 \u02c6 \u2014 100 \u00e2 \u02c6 \u2014 100 / 5 * 5 * 5 = 8000 note : 1 m = 100 cm answer : b\"" + }, + { + "Answer": 58, + "Options": "a ) 50 , b ) 52 , c ) 54 , d ) 56 , e ) 58", + "Correct": "e", + "Explanation": "\"( 3 / 2 ) * 5 = 7.5 hours 435 / 7.5 = 58 kph the answer is e .\"" + }, + { + "Answer": 11, + "Options": "a ) 11 , b ) 5 , c ) 70 , d ) 11 , e ) 13", + "Correct": "d", + "Explanation": "x / 24 + x / 30 + x / 40 = 1 x = 11 days answer : d" + }, + { + "Answer": 2.0000000000000004, + "Options": "a ) 1 , b ) 1.5 , c ) 2 , d ) 2.5 , e ) 3", + "Correct": "c", + "Explanation": "\"new time = d / ( 4 v / 5 ) = 5 / 4 * usual time 30 minutes represents 1 / 4 of the usual time . the usual time is 2 hours . the answer is c .\"" + }, + { + "Answer": 732, + "Options": "a ) 252 kms , b ) 152 kms , c ) 732 kms , d ) 752 kms , e ) 152 kms", + "Correct": "c", + "Explanation": "\"explanation : total distance travelled in 12 hours = ( 50 + 52 + 54 + . . . . . upto 12 terms ) this is an a . p with first term , a = 50 , number of terms , n = 12 , d = 2 . required distance = 12 / 2 [ 2 x 50 + { 12 - 1 ) x 2 ] = 6 ( 122 ) = 732 kms . answer : c\"" + }, + { + "Answer": 150, + "Options": "a ) 127 days , b ) 150 days , c ) 177 days , d ) 187 days , e ) 225 days", + "Correct": "b", + "Explanation": "\"1 man ' s 1 day work = 1 / 100 ( 10 men + 15 women ) ' s 1 day work = 1 / 5 15 women ' s 1 day work = ( 1 / 5 - 10 / 100 ) = 1 / 10 1 woman ' s 1 day work = 1 / 150 1 woman alone can complete the work in 150 days . answer : b\"" + }, + { + "Answer": 3.694512960621597, + "Options": "a ) 3.6 kg , b ) 3.696 kg , c ) 36 kg , d ) 36.9 kg , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : external radius = 4 cm , internal radius = 3 cm . volume of iron = [ ( 22 / 7 ) \u00d7 ( 42 - 32 ) \u00d7 21 ] cm 3 = 462 cm 3 weight of iron = ( 462 x 8 ) gm = 3696 gm = 3.696 kg answer : b\"" + }, + { + "Answer": 265, + "Options": "a ) 10 m , b ) 16 m , c ) 245 m , d ) 265 m , e ) 27 m", + "Correct": "d", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 130 + x ) / 30 = 25 / 2 = > 2 ( 110 + x ) = 750 = > x = 265 m . answer : d\"" + }, + { + "Answer": 225, + "Options": "a ) 127 , b ) 225 , c ) 287 , d ) 450 , e ) 281", + "Correct": "b", + "Explanation": "\"explanation : let the required no of hectares be x . then men - - - hectares - - - days 16 - - - - - - - - - 80 - - - - - - - - - 24 36 - - - - - - - - - x - - - - - - - - - 30 more men , more hectares ( direct proportion ) more days , more hectares ( direct proportion ) x = 36 / 16 * 30 / 24 * 80 x = 225 answer : b\"" + }, + { + "Answer": 7.2, + "Options": "a ) 4 , b ) 4.5 , c ) 6 , d ) 6.25 , e ) 7.2", + "Correct": "e", + "Explanation": "\"distance walked in 1 hour and 15 mins = 9 miles speed per hour = distance / time = 9 / ( 5 / 4 ) = 7.2 miles per hour answer e\"" + }, + { + "Answer": 400.04999999999995, + "Options": "a ) 271 , b ) 266 , c ) 400 , d ) 277 , e ) 232", + "Correct": "c", + "Explanation": "\"length of the platform = 90 * 5 / 18 * 25 = 625 \u2013 225 = 400 answer : c\"" + }, + { + "Answer": 700, + "Options": "a ) 800 , b ) 700 , c ) 360 , d ) 370 , e ) 380", + "Correct": "b", + "Explanation": "\"speed = 600 / 18 = 100 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 39 = 100 / 3 = > x = 1300 m . l = 1300 - 600 = 700 m answer : option b\"" + }, + { + "Answer": 4, + "Options": "a ) 3 , b ) 3.5 , c ) 4 , d ) 4.5 , e ) 6", + "Correct": "c", + "Explanation": "\"ans : c total time = 14 hrs let time traveled during 1 st day = x let time traveled during 2 nd day = x - 2 total time = 14 x + x - 2 = 14 x = 8 speed * time = distance s * 8 + ( s + 0.5 ) ( 8 - 2 ) = 52 solving s = 4.5 now speed for 2 nd day is 0.5 less than the 1 st day which is 4.5 thus speed for 2 nd day = 4 its simple algebra for s * 8 + ( s + 0.5 ) ( 8 - 2 ) = 52 but for some reason im getting 3.5 and not 4.5 . 8 s + 6 s + 3 = 52 14 s = 49 s = 3.5\"" + }, + { + "Answer": 32, + "Options": "a ) 32 kmph , b ) 58 kmph , c ) 62 kmph , d ) 65 kmph , e ) 75 kmph", + "Correct": "a", + "Explanation": "\"relative speed = 280 / 9 m / sec = ( ( 280 / 9 ) * ( 18 / 5 ) ) kmph = 112 kmph . speed of goods train = ( 112 - 80 ) kmph = 32 kmph . answer : a\"" + }, + { + "Answer": 57, + "Options": "a ) 57 , b ) 2 ^ 4 * 3 , c ) 24 , d ) 38 , e ) 47", + "Correct": "a", + "Explanation": "\"so 57 days answer a = 57\"" + }, + { + "Answer": 72, + "Options": "a ) 96 kmph , b ) 94 kmph , c ) 92 kmph , d ) 86 kmph , e ) 72 kmph", + "Correct": "e", + "Explanation": "\"s = 160 / 8 * 18 / 5 = 72 kmph answer : e\"" + }, + { + "Answer": 18, + "Options": "a ) 2 . , b ) 4 . , c ) 5 . , d ) 6 , e ) 18 .", + "Correct": "e", + "Explanation": "\"total work = 18 * 12 = 216 beaver hours 12 beaver * x = 216 beaver hours x = 216 / 12 = 18 answer : e\"" + }, + { + "Answer": 10000, + "Options": "a ) 2000 , b ) 4500 , c ) 5000 , d ) 8000 , e ) 10000", + "Correct": "e", + "Explanation": "number of bottles that can be held in a case = 12 number of cases required to hold 120000 bottles = 120000 / 12 = 10000 cases . so the answer is e = 10000" + }, + { + "Answer": 0.23076923076923078, + "Options": "a ) 3 / 13 , b ) 1 / 5 , c ) 1 / 10 , d ) 1 / 3 , e ) 1 / 7", + "Correct": "a", + "Explanation": "rate of the small pump is 1 / 3 tank / hour rate of the larger pump is 1 / ( 1 / 4 ) or 4 tank / hour ; combined rate of the two pumps is 1 / 3 + 4 = 13 / 3 tank / hour , together they will fill the empty tank in 1 / ( 13 / 3 ) = 3 / 13 hours ( time = job / rate ) . answer : a" + }, + { + "Answer": 3.0769230769230766, + "Options": "a ) 2.5 , b ) 2.7 , c ) 2.9 , d ) 3.1 , e ) 3.3", + "Correct": "d", + "Explanation": "\"the workers fill the truck at a rate of 1 / 5 + 1 / 8 = 13 / 40 of the truck per hour . then the time to fill one truck is 40 / 13 which is about 3.1 hours . the answer is d .\"" + }, + { + "Answer": 12.5, + "Options": "a ) 12 , b ) 12.5 , c ) 13 , d ) 13.5 , e ) 14", + "Correct": "b", + "Explanation": "explanation : 1000 * 15 = 1200 * x x = 12.5 b" + }, + { + "Answer": 225, + "Options": "a ) 200 m , b ) 225 m , c ) 245 m , d ) 250 m , e ) 270 m", + "Correct": "b", + "Explanation": "\"let the length of the bridge : l the equation now is l + 150 / 12.5 m / s ( 45 km / hr or 12.5 m / s ) = 30 solving , l = 225 m answer : b\"" + }, + { + "Answer": 6, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", + "Correct": "a", + "Explanation": "\"let t be the total time of the trip . 35 * 4 + 44 ( t - 4 ) = 38 t 6 t = 176 - 140 t = 6 the answer is a .\"" + }, + { + "Answer": 350, + "Options": "a ) 288 , b ) 350 , c ) 889 , d ) 276 , e ) 234", + "Correct": "b", + "Explanation": "\"speed = 300 / 18 = 50 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 39 = 50 / 3 3 x + 900 = 1950 = > x = 350 m . answer : b\"" + }, + { + "Answer": 10.999120070394369, + "Options": "a ) 25 , b ) 30 , c ) 40 , d ) 11 , e ) 60", + "Correct": "d", + "Explanation": "\"explanation : speed of train relatively to man = ( 80 - 8 ) km / hr = 72 km / hr = ( 72 x 5 / 18 ) m / sec = 20 m / sec time taken to pass the man = ( 220 / 20 ) sec = 11 sec . answer : d\"" + }, + { + "Answer": 21, + "Options": "a ) 18 , b ) 27 , c ) 98 , d ) 27 , e ) 21", + "Correct": "e", + "Explanation": "\"let the pipe b be closed after x minutes . 30 / 16 - x / 24 = 1 = > x / 24 = 30 / 16 - 1 = 14 / 16 = > x = 14 / 16 * 24 = 21 . answer : e\"" + }, + { + "Answer": 3, + "Options": "a ) 2.5 min , b ) 3 min , c ) 3.2 min , d ) 3.5 min , e ) 4 min", + "Correct": "b", + "Explanation": "total distance = ( 7 / 2 + 1 / 4 ) miles = 15 / 4 miles time taken = 15 / 4 * 75 hrs = 1 / 20 hrs = 3 min answer b" + }, + { + "Answer": 310, + "Options": "a ) 382 , b ) 782 , c ) 278 , d ) 310 , e ) 881", + "Correct": "d", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec . time = 26 sec . let the length of the train be x meters . then , ( x + 210 ) / 26 = 20 x = 310 m . answer : d\"" + }, + { + "Answer": 21600, + "Options": "a ) 8600 litres , b ) 200 litres , c ) 21600 litres , d ) 11200 litres , e ) 13200 litres", + "Correct": "c", + "Explanation": "\"let the rate of outlet pipe be x liters / hour ; rate of inlet pipe is 16 litres / min , or 16 * 60 = 960 liters / hour ; net outflow rate when both pipes operate would be x - 960 liters / hour . capacity of the tank = x * 10 hours = ( x - 960 ) * ( 10 + 8 ) hours 10 x = ( x - 960 ) * 18 - - > x = 2160 - - > capacity = 10 x = 21600 liters . answer : c .\"" + }, + { + "Answer": 180, + "Options": "a ) 180 km , b ) 190 km , c ) 220 km , d ) 230 km , e ) none", + "Correct": "a", + "Explanation": "sol . speed downstream = ( 14 + 4 ) km / hr = 18 km / hr ; speed upstream = ( 14 - 4 ) km / hr = 10 km / hr . let the distance between a and b be x km . then , x / 18 + ( x / 2 ) / 10 = 19 \u21d4 x / 18 + x / 20 = 19 \u21d2 x = 180 km . answer a" + }, + { + "Answer": 17.39860811135109, + "Options": "a ) 15.8 sec , b ) 14.9 sec , c ) 12.4 sec , d ) 16.8 sec , e ) 17.4 sec", + "Correct": "e", + "Explanation": "\"e 17.4 sec d = 120 + 170 = 290 m s = 60 * 5 / 18 = 50 / 3 t = 290 * 3 / 50 = 17.4 sec answer is e\"" + }, + { + "Answer": 22.5, + "Options": "a ) 15 , b ) 66 , c ) 22.5 , d ) 52 , e ) 42", + "Correct": "c", + "Explanation": "\"90 * 15 / 60 = 22.5 kmph answer : c\"" + }, + { + "Answer": 5.999520038396928, + "Options": "a ) 6 sec , b ) 7 sec , c ) 7 2 / 2 sec , d ) 8 sec , e ) 9 sec", + "Correct": "a", + "Explanation": "70 + 80 = 150 * 5 / 18 = 125 / 3 mps d = 150 + 100 = 250 m t = 250 * 3 / 125 = 6 sec answer : a" + }, + { + "Answer": 323.36799999999994, + "Options": "a ) 287 , b ) 398 , c ) 323 , d ) 245 , e ) 267", + "Correct": "c", + "Explanation": "\"d = 52 * 5 / 18 = 30 = 433 \u00e2 \u20ac \u201c 110 = 323 answer : c\"" + }, + { + "Answer": 48, + "Options": "a ) 42 , b ) 44 , c ) 46 , d ) 48 , e ) 50", + "Correct": "d", + "Explanation": "\"the time it takes cara to drive to city b is 120 / 30 = 4 hours . dan needs to take less than 2.5 hours for the trip . dan needs to exceed a constant speed of 120 / 2.5 = 48 miles per hour . the answer is d .\"" + }, + { + "Answer": 11, + "Options": "a ) 71 , b ) 12 , c ) 18 , d ) 11 , e ) 29", + "Correct": "d", + "Explanation": "explanation : let the required no of binders be x . less books , less binders ( direct proportion ) more days , less binders ( indirect proportion ) \\ inline \\ fn _ jvn \\ left . \\ begin { matrix } books \\ : 900 : 600 \\ \\ days \\ : \\ : 12 : 10 \\ end { matrix } \\ right \\ } : : 18 : x \\ inline \\ fn _ jvn \\ therefore \\ inline \\ fn _ jvn ( 900 \\ times 12 \\ times x ) = ( 600 \\ times 10 \\ times 18 ) \\ inline \\ fn _ jvn \\ leftrightarrow x = \\ inline \\ fn _ jvn \\ frac { 600 \\ times 10 \\ times 18 } { 900 \\ times 12 } = 11 answer : d" + }, + { + "Answer": 66.66666666666667, + "Options": "a ) 66.67 , b ) 882 , c ) 772 , d ) 252 , e ) 121", + "Correct": "a", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 4 = 66.67 meter . answer : a\"" + }, + { + "Answer": 65, + "Options": "a ) 75 , b ) 45 , c ) 55 , d ) 65 , e ) 35", + "Correct": "d", + "Explanation": "( 75 * 8 ) / 50 = ( x * 6 ) / 70 = > x = 140 140 \u00e2 \u20ac \u201c 65 = 65 answer : d" + }, + { + "Answer": 60, + "Options": "a ) 22 , b ) 60 , c ) 28 , d ) 11 , e ) 218", + "Correct": "b", + "Explanation": "\"here 2 km is immaterial . the given problem can be written in a tabular form like below . we can apply chain rule now . total men required to complete the remaining work = 100 \u00d7 2525 \u00d7 810 \u00d7 2313100 \u00d7 2525 \u00d7 810 \u00d7 2313 = 160 so additional men required = 160 - 100 = 60 answer : b\"" + }, + { + "Answer": 28, + "Options": "a ) 15 sec , b ) 16 sec , c ) 28 sec , d ) 20 sec , e ) 25 sec", + "Correct": "c", + "Explanation": "\"speed = 63 * 5 / 18 = 35 / 2 m / sec time taken = 490 * 2 / 35 = 28 sec answer : c\"" + }, + { + "Answer": 29.999999999999993, + "Options": "a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70", + "Correct": "a", + "Explanation": "100 % work will be done by george in 15 days ( 1 / 15 ) 9 + ( 1 / 15 + 1 / x ) 4 = 1 solving this eqn . we get x = 30 hence paul take to do the work in 30 days answer : a" + }, + { + "Answer": 3, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", + "Correct": "b", + "Explanation": "\"explanation : upstream speed = b - s downstream speed = b + s b - s = 15 / 5 = 3 km / h again b = 4 s therefore b - s = 3 = 3 s = > s = 1 and b = 4 km / h therefore b + s = 5 km / h therefore , time during downstream = 15 / 5 = 3 h answer : b ) 3 h\"" + }, + { + "Answer": 15, + "Options": "a ) 18 , b ) 15 , c ) 10 , d ) 11 , e ) 12", + "Correct": "b", + "Explanation": "\"explanation : 18 trees have 17 gaps between them , required distance ( 281 / 17 ) = 15 option b\"" + }, + { + "Answer": 63.99488040956724, + "Options": "a ) 50 , b ) 99 , c ) 64 , d ) 76 , e ) 12", + "Correct": "c", + "Explanation": "\"the distance to be covered = sum of their lengths = 280 + 360 = 640 m . relative speed = 72 - 36 = 36 kmph = 36 * 5 / 18 = 10 mps . time required = d / s = 640 / 10 = 64 sec . answer : c\"" + }, + { + "Answer": 3, + "Options": "a ) 4 hours , b ) 2 hours , c ) 3 hours , d ) 2 hours 24 minutes , e ) none", + "Correct": "c", + "Explanation": "\"explanatory answer the total time of journey = 5 hours . let ' x ' hours be the time that i traveled at 40 kmph therefore , 5 - x hours would be time that i traveled at 60 kmph . hence , i would have covered x * 40 + ( 5 - x ) 60 kms in the 5 hours = 240 kms . solving , for x in the equation 40 x + ( 5 - x ) * 60 = 240 , we get 40 x + 300 - 60 x = 240 = > 20 x = 60 or x = 3 hours . answer c\"" + }, + { + "Answer": 80, + "Options": "a ) 12 kg , b ) 60 kg , c ) 72 kg , d ) 80 kg , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : volume of water displaced = ( 4 x 2 x 0.01 ) m 3 = 0.08 m 3 . \u2234 mass of man = volume of water displaced x density of water = ( 0.08 x 1000 ) kg = 80 kg . answer : d\"" + }, + { + "Answer": 70, + "Options": "['a ) 50', 'b ) 60', 'c ) 70', 'd ) 80', 'e ) 90']", + "Correct": "c", + "Explanation": "1 / 2 * d * ( 12 + 8 ) = 700 d = 70 the answer is c ." + }, + { + "Answer": 70, + "Options": "a ) rs . 40 , b ) rs . 70 , c ) rs . 90 , d ) rs . 100 , e ) rs . 120", + "Correct": "b", + "Explanation": "\"explanation : amount earned by p , q and r in 1 day = 1620 / 9 = 180 - - - ( 1 ) amount earned by p and r in 1 day = 600 / 5 = 120 - - - ( 2 ) amount earned by q and r in 1 day = 910 / 7 = 130 - - - ( 3 ) ( 2 ) + ( 3 ) - ( 1 ) = > amount earned by p , q and 2 r in 1 day - amount earned by p , q and r in 1 day = 120 + 130 - 180 = 70 = > amount earned by r in 1 day = 70 answer : option b\"" + }, + { + "Answer": 54, + "Options": "a ) 54 mins , b ) 55 mins , c ) 56 mins , d ) 57 mins , e ) 58 mins", + "Correct": "a", + "Explanation": "distance covered by a in 45 mins = 3 kms . distance covered by b in 45 mins = 4.5 kms . distance between and b after 45 mins = 1.5 kms . relative speed when b is returning = 4 + 6 = 10 kmph distance between a and b is covered in 1.5 / 10 = 0.15 hrs = 9 mins so they will meet again after 54 mins from starting time . answer : a" + }, + { + "Answer": 160, + "Options": "a ) 334 , b ) 160 , c ) 387 , d ) 278 , e ) 112", + "Correct": "b", + "Explanation": "answer : b ) 160 km / h" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 12 days , b ) 10 days , c ) 9 days , d ) 8 days , e ) 11 days", + "Correct": "a", + "Explanation": "\"explanation : ( 1 man + 1 woman + 1 boy ) \u2019 s 1 day \u2019 s work = 1 / 3 1 man \u2019 s 1 day work = 1 / 6 1 boy \u2019 s 1 day \u2019 s work = 1 / 1 ( 1 man + 1 boy ) \u2018 s 1 day \u2019 s work = 1 / 6 + 1 / 12 = 1 / 4 therefore , 1 woman \u2019 s 1 day \u2019 s work = 1 / 3 \u2013 1 / 4 = 1 / 12 therefore , the woman alone can finish the work in 12 days . answer : option a\"" + }, + { + "Answer": 8250, + "Options": "a ) $ 8250 , b ) $ 8350 , c ) $ 8650 , d ) $ 8450 , e ) $ 8500", + "Correct": "a", + "Explanation": "\"area = 5.5 \u00d7 3.75 sq . metre . cost for 1 sq . metre . = $ 400 hence , total cost = 5.5 \u00d7 3.75 \u00d7 400 = $ 8250 a\"" + }, + { + "Answer": 2700, + "Options": "a ) 2430 , b ) 2700 , c ) 3300 , d ) 4860 , e ) 5400", + "Correct": "b", + "Explanation": "\"my take selecting team of 2 out of 10 to assign to the shifts = 10 c 2 = 45 ways . now 2 out of 10 means total of 5 group possible . so putting them in shifts = counting methode : first , second , third , alt , alt = 5 * 4 * 3 * 2 * 1 = 120 here alt and alt are the same : so 120 / 2 = 60 ways . total ways of selecting = ( selecting 2 out of 10 ) * arranging those teams in shifts = 45 * 60 = 2700 ans : b\"" + }, + { + "Answer": 250, + "Options": "a ) 50 , b ) 100 , c ) 150 , d ) 200 , e ) 250", + "Correct": "e", + "Explanation": "let the capacity of 1 bucket = x . then , the capacity of tank = 200 x . new capacity of bucket = 4 / 5 x therefore , required number of buckets = ( 200 x ) / ( 4 x / 5 ) = ( 200 x ) x 5 / 4 x = 1000 / 4 = 250 answer is e ." + }, + { + "Answer": 2.25, + "Options": "a ) 2 km , b ) 4 km , c ) 5 km , d ) 2.25 km , e ) none of these", + "Correct": "d", + "Explanation": "explanation : speed in still water = 4 kmph speed of the stream = 2 kmph speed upstream = ( 4 - 2 ) = 2 kmph speed downstream = ( 4 + 2 ) = 6 kmph total time = 90 minutes = 90 \u2044 60 hour = 3 \u2044 2 hour let l be the distance . then ( l / 6 ) + ( l / 2 ) = 32 = > l + 3 l = 9 = > 4 l = 9 = > l = 9 \u2044 4 = 2.25 km . answer : option d" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 10 , e ) 15", + "Correct": "a", + "Explanation": "1 day work of a = 1 / 6 1 day work of b = 1 / 12 1 day work of a & b = 1 / 6 + 1 / 12 = 1 / 4 a & b finish the work in 4 days answer is a" + }, + { + "Answer": 260.03999999999996, + "Options": "a ) 230 m , b ) 240 m , c ) 260 m , d ) 320 m , e ) 330 m", + "Correct": "c", + "Explanation": "\"relative speed = ( 120 + 80 ) km / hr = ( 200 x ( 5 / 18 ) ) m / sec = ( 500 / 9 ) m / sec . let the length of the other train be x metres . then , ( x + 240 ) / 9 = 500 / 9 x + 240 = 500 x = 260 . c\"" + }, + { + "Answer": 60, + "Options": "a ) 50 kg , b ) 60 kg , c ) 70 kg , d ) 80 kg , e ) none of these", + "Correct": "b", + "Explanation": "explanation : in this type of question , first we will calculate the volume of water displaces then will multiply with the density of water . volume of water displaced = 3 * 2 * 0.01 = 0.06 m cube mass of man = volume of water displaced * density of water = 0.06 * 1000 = 60 kg option b" + }, + { + "Answer": 60, + "Options": "a ) 60 % , b ) 80 % , c ) 100 % , d ) 120 % , e ) 125 %", + "Correct": "a", + "Explanation": "\"the radius of tank a is 6 / ( 2 * pi ) . the capacity of tank a is 10 * pi * 36 / ( 4 * pi ^ 2 ) = 180 / ( 2 * pi ) the radius of tank b is 10 / ( 2 * pi ) . the capacity of tank b is 6 * pi * 100 / ( 4 * pi ^ 2 ) = 300 / ( 2 * pi ) tank a / tank b = 180 / 300 = 6 / 10 = 60 % the answer is a .\"" + }, + { + "Answer": 39, + "Options": "a ) 3.6 sec , b ) 18 sec , c ) 36 sec , d ) 39 sec , e ) none of these", + "Correct": "d", + "Explanation": "\"speed of train relative to jogger = ( 45 \u2013 9 ) km / h = 36 km / h = ( 36 \u00d7 5 \u2044 18 ) m / sec = 10 m / sec distance to be covered = ( 270 + 120 ) m = 390 m . \u2234 time taken = ( 390 \u2044 10 ) sec = 39 sec . answer d\"" + }, + { + "Answer": 5.5, + "Options": "a ) 6 hours , b ) 5 hours , c ) 5.5 hours , d ) 8 hours , e ) none", + "Correct": "c", + "Explanation": "explanation : speed of the truck = distance / time = 296 / 8 = 37 kmph now , speed of car = ( speed of truck + 18 ) kmph = ( 37 + 18 ) = 55 kmph distance travelled by car = 296 + 6.5 = 302.5 km time taken by car = distance / speed = 302.5 / 55 = 5.5 hours . answer \u2013 c" + }, + { + "Answer": 10, + "Options": "a ) 17 sec , b ) 16 sec , c ) 18 sec , d ) 10 sec , e ) 12 sec", + "Correct": "d", + "Explanation": "speed = 180 * 5 / 18 = 50 m / sec time taken = 500 * 1 / 50 = 10 sec answer : d" + }, + { + "Answer": 6.75, + "Options": "a ) 1.6 km , b ) 2 km , c ) 3.6 km , d ) 6.75 km , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : speed downstreams = ( 24 + 3 ) kmph = 27 kmph . distance travelled = ( 27 x 15 / 60 ) km = 6.75 km option d\"" + }, + { + "Answer": 6.851865643851941, + "Options": "a ) 4.85 , b ) 7.85 , c ) 6.85 , d ) 5.85 , e ) 6.15", + "Correct": "c", + "Explanation": "t = ( 111 + 165 ) / ( 80 + 65 ) * 18 / 5 t = 6.85 answer : c" + }, + { + "Answer": 71.99424046076314, + "Options": "a ) 72 , b ) 74 , c ) 76 , d ) 78 , e ) 80", + "Correct": "a", + "Explanation": "time taken to meet for the first time anywhere on the track = length of the track / relative speed = 1800 / ( 30 + 60 ) 5 / 18 = 1800 * 18 / 90 * 5 = 72 seconds . answer : a" + }, + { + "Answer": 280.04159999999996, + "Options": "a ) 230 m , b ) 270 m , c ) 643 m , d ) 280 m , e ) 270 m", + "Correct": "d", + "Explanation": "\"speed = ( 72 x 5 / 18 ) m / sec = 20 m / sec . time = 26 sec . let the length of the train be x metres . then , x + 240 / 26 = 20 x + 240 = 520 x = 280 . answer : d\"" + }, + { + "Answer": 79.99360051195904, + "Options": "a ) 50 , b ) 80 , c ) 88 , d ) 76 , e ) 12", + "Correct": "b", + "Explanation": "\"the distance to be covered = sum of their lengths = 300 + 500 = 800 m . relative speed = 72 - 36 = 36 kmph = 36 * 5 / 18 = 10 mps . time required = d / s = 800 / 10 = 80 sec . answer : b\"" + }, + { + "Answer": 1090.909090909091, + "Options": "a ) $ 1080.90 , b ) $ 1000.90 , c ) $ 1070.90 , d ) $ 1050.90 , e ) $ 1090.90", + "Correct": "e", + "Explanation": "the dollars earned will be in the same ratio as amount of work done 1 day work of z is 1 / 6 ( or 2 / 12 ) 1 day work of the combined workforce is ( 1 / 2 + 1 / 4 + 1 / 6 ) = 11 / 12 z ' s contribution is 2 / 9 of the combined effort translating effort to $ = 6 / 11 * 2000 = $ 1090.90 hence : e" + }, + { + "Answer": 15, + "Options": "a ) 15 seconds , b ) 18 seconds , c ) 25 seconds , d ) 30 seconds , e ) 45 seconds", + "Correct": "a", + "Explanation": "\"used pluging in method say t is the time for cristina to catch up with nicky , the equation will be as under : for nicky = n = 3 * t + 30 for cristina = c = 5 * t @ t = 15 , n = 75 c = 75 right answer ans : a\"" + }, + { + "Answer": 7040, + "Options": "a ) 6400 , b ) 6410 , c ) 6440 , d ) 6500 , e ) 7040", + "Correct": "e", + "Explanation": "number of bricks = volume of wall / volume of bricks = 800 x 660 x 22.5 / 25 x 11.25 x 6 = = 7040 answer : e" + }, + { + "Answer": 103.33333333333333, + "Options": "a ) 148 kmph , b ) 152 kmph , c ) 106 kmph , d ) 103 kmph , e ) 165 kmph", + "Correct": "d", + "Explanation": "\"time = 4 distance = 620 3 / 2 of 4 hours = 4 * 3 / 2 = 6 hours required speed = 620 / 6 = 103 kmph d )\"" + }, + { + "Answer": 230, + "Options": "a ) 150 , b ) 887 , c ) 167 , d ) 197 , e ) 230", + "Correct": "e", + "Explanation": "\"length of the train be \u2018 x \u2019 x + 130 / 15 = x + 250 / 20 20 x + 2600 = 15 x + 3750 5 x = 1150 x = 230 m answer : e\"" + }, + { + "Answer": 4, + "Options": "a ) 8 hrs , b ) 10 hrs , c ) 4 hrs , d ) 15 hrs , e ) 6 hrs", + "Correct": "c", + "Explanation": "time taken if run its own speed = 1 / 2 * 8 = 4 hrs time saved = 8 - 4 = 4 hrs answer : c" + }, + { + "Answer": 0.4997465213085514, + "Options": "['a ) 2.5', 'b ) 2', 'c ) 1.5', 'd ) 1', 'e ) 0.5']", + "Correct": "e", + "Explanation": "circumference of a circle = 2 \u03c0 r . given , circumference = 3.14 meters . therefore , 2 \u03c0 r = circumference of a circle or , 2 \u03c0 r = 3.14 . or , 2 ? 3.14 r = 3.14 , [ putting the value of pi ( \u03c0 ) = 3.14 ] . or , 6.28 r = 3.14 . or , r = 3.14 / 6.28 . or , r = 0.5 . answer : 0.5 meter . correct answer e" + }, + { + "Answer": 360, + "Options": "a ) 1 \u2044 3 , b ) 4 \u2044 3 , c ) 80 , d ) 120 , e ) 360", + "Correct": "e", + "Explanation": "\"1 item takes 1 / 3 min so it takes 120 min to produce x x / 3 = 120 the x = 360 answer : e\"" + }, + { + "Answer": 4.5, + "Options": "a ) 1.6 , b ) 4.5 , c ) 8.2 , d ) 6.5 , e ) 2.9", + "Correct": "b", + "Explanation": "\"distance = 300 meter time = 4 minutes = 4 x 60 seconds = 240 seconds speed = distance / time = 300 / 240 = 1.25 m / s = 1.25 \u00e3 \u2014 18 / 5 km / hr = 4.5 km / hr answer : b\"" + }, + { + "Answer": 50.000000000000014, + "Options": "a ) 50 min , b ) 20 min , c ) 1 hour , d ) 30 min , e ) 45 min", + "Correct": "a", + "Explanation": "\"new speed = 5 / 6 of the usual speed new time taken = 6 / 5 of the usual time taken so , ( 6 / 5 of the usual time ) - ( usual time ) = 10 min 1 / 5 of the usual time = 10 min usual time = 10 * 5 = 50 min correct option is a\"" + }, + { + "Answer": 17.142857142857142, + "Options": "a ) 16 sec , b ) 12 sec , c ) 17 sec , d ) 21 sec , e ) 23 sec", + "Correct": "c", + "Explanation": "\"speed of the first train = 120 / 15 = 8 m / sec . speed of the second train = 120 / 20 = 6 m / sec . relative speed = 8 + 6 = 14 m / sec . required time = ( 120 + 120 ) / 14 = 17 sec . answer : c\"" + }, + { + "Answer": 8, + "Options": "a ) 7.5 , b ) 7.4 , c ) 7.9 , d ) 7.2 , e ) 8.0", + "Correct": "e", + "Explanation": "\"net part filled in 1 hour = ( 1 / 4 - 1 / 9 ) = 1 / 8 the cistern will be filled in 8 / 1 hrs i . e . , 8 hrs . answer : e\"" + }, + { + "Answer": 7.5, + "Options": "a ) 13 / 2 , b ) 7 , c ) 15 / 2 , d ) 8 , e ) 9", + "Correct": "c", + "Explanation": "\"son ' s 1 day ' s work = ( 1 / 3 ) - ( 1 / 5 ) = 2 / 5 the son alone can do the work in 15 / 2 days answer is c\"" + }, + { + "Answer": 3.625, + "Options": "a ) 3.625 , b ) 3.5 , c ) 4 , d ) 4.5 , e ) 5", + "Correct": "a", + "Explanation": "\"set up two r x t = d cases . 1 . 1 / 10 km / min x t = 2.75 from which t = 27.5 mins . we know total journey time now is 45 + 27.5 = 72.5 the rate is the same ie 1 / 10 km / min . set up second r x t = d case . 1 / 10 km / min x 72.5 = 7.25 km now the total journey would be halved as distance would be same in each direction . 7.25 / 2 = 3.625 . a .\"" + }, + { + "Answer": 8.093145651796132, + "Options": "a ) 6.18 , b ) 7.12 , c ) 7.1 , d ) 8.09 , e ) 8.11", + "Correct": "d", + "Explanation": "\"t = ( 161 + 165 ) / ( 80 + 65 ) * 18 / 5 t = 8.09 answer : d\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 20", + "Correct": "a", + "Explanation": "if pugsley were to give wednesday two of his spiders , wednesday would then have nine times as many spiders as pugsley does : ( w + 2 ) = 9 ( p - 2 ) if wednesday were to give pugsley six of her spiders , pugsley would now have six fewer spiders than wednesday had before they traded : p + 6 = w - 6 solving gives p = 4 and w = 16 . answer : a ." + }, + { + "Answer": 10.799999999999999, + "Options": "a ) 7.2 kg . , b ) 10.8 kg . , c ) 12.4 kg . , d ) 18.0 kg , e ) none", + "Correct": "b", + "Explanation": "\"answer \u2235 weight of 13 m long rod = 23.4 kg \u2234 weight of 1 m long rod = 23.4 / 13 kg \u2234 weight of 6 m long rod = 23.4 x 6 / 13 = 10.8 kg option : b\"" + }, + { + "Answer": 60, + "Options": "a ) 78 , b ) 60 , c ) 26 , d ) 23 , e ) 12", + "Correct": "b", + "Explanation": "\"relative speed = 45 + 15 = 60 km / hr . 60 * 5 / 18 = 50 / 3 m / sec . distance covered = 500 + 500 = 1000 m . required time = 1000 * 3 / 50 = 60 sec . answer : b\"" + }, + { + "Answer": 1.5, + "Options": "a ) 1 kmph , b ) 4 kmph , c ) 3 kmph , d ) 2 kmph , e ) 1.5 kmph", + "Correct": "e", + "Explanation": "\"sol . speed of stream = 1 / 2 ( 12 - 9 ) kmph = 1.5 kmph . answer e\"" + }, + { + "Answer": 99, + "Options": "a ) 99 , b ) 100 , c ) 102 , d ) 288 , e ) 2761", + "Correct": "a", + "Explanation": "\"495 / 5 = 99 kmph answer : a\"" + }, + { + "Answer": 26.736281798666923, + "Options": "a ) 32.52 , b ) 32.48 , c ) 26.74 , d ) 32.9 , e ) 32.31", + "Correct": "c", + "Explanation": "\"36 / 7 r = 5.2 = 26.74 answer : c\"" + }, + { + "Answer": 20, + "Options": "a ) 35 , b ) 20 , c ) 45 , d ) 50 , e ) 55", + "Correct": "b", + "Explanation": "avg . speed = total distance / total time total distance = 40 miles total time = 20 / 15 + 15 / 30 = 2 avg . speed = 20 . answer - b" + }, + { + "Answer": 26, + "Options": "a ) 35 , b ) 26 , c ) 76 , d ) 87 , e ) 24", + "Correct": "b", + "Explanation": "\"the product of two integers is equal to the product of their lcm and gcf . hence . 16 * n = 52 * 8 n = 52 * 8 / 16 = 26 correct answer b\"" + }, + { + "Answer": 7.844889650207294, + "Options": "a ) 7.19 , b ) 7.18 , c ) 7.16 , d ) 7.84 , e ) 7.12", + "Correct": "d", + "Explanation": "\"t = ( 151 + 165 ) / ( 80 + 65 ) * 18 / 5 t = 7.84 answer : d\"" + }, + { + "Answer": 10, + "Options": "a ) 12 days , b ) 10 days , c ) 5 days , d ) 6 days , e ) 15 days", + "Correct": "b", + "Explanation": "20 men = 25 women therefore , 1 women = 20 / 25 men = 4 / 5 men 15 women = 4 / 5 * 15 men = 12 men i . e . 38 men + 15 women = 38 men + 12 men = 50 men 1 work done by men = 20 * 25 20 * 25 = 50 * ? number of days = 20 * 25 / 50 = 10 days . b" + }, + { + "Answer": 5, + "Options": "a ) 2 , b ) 5 , c ) 1 , d ) 6 , e ) 7", + "Correct": "b", + "Explanation": "\"explanation : he covered 5 km in 1 hour , so he might cover 25 km in 5 hours . but he took 10 hours . he would have saved 10 \u00e2 \u20ac \u201c 5 = 5 hours . answer : b\"" + }, + { + "Answer": 27, + "Options": "a ) 16 kmph , b ) 88 kmph , c ) 54 kmph , d ) 18 kmph , e ) 27 kmph", + "Correct": "e", + "Explanation": "\"s = 120 / 16 * 18 / 5 = 27 kmph answer : e\"" + }, + { + "Answer": 16, + "Options": "a ) 73 , b ) 83 , c ) 16 , d ) 83 , e ) 28", + "Correct": "c", + "Explanation": "\"explanation : t = 12 / 45 * 60 = 16 answer : option c\"" + }, + { + "Answer": 4.444444444444445, + "Options": "a ) 70 hours , b ) 40 / 9 hours , c ) 9 hours , d ) 16 hours , e ) 20 hours", + "Correct": "b", + "Explanation": "\"a \u2019 s 1 hour ' s work = 1 / 8 b ' s 1 hour ' s work = 1 / 10 ( a + b ) ' s 1 hour ' s work = ( 1 / 8 ) + ( 1 / 10 ) = 9 / 40 both a and b will finish the work in 40 / 9 days . answer b 40 / 9 hours\"" + }, + { + "Answer": 60, + "Options": "a ) 20 , b ) 25 , c ) 30 , d ) 60 , e ) 70", + "Correct": "d", + "Explanation": "area of room = ( l * b ) m ^ 2 area of door + window = ( d + w ) m ^ 2 remaining area = ( ( l * b ) - ( d + w ) ) m ^ 2 so length = remaining area / 0.70 m total cost = length * 60 - - - ans and total cost = 60 answer : d" + }, + { + "Answer": 7.2, + "Options": "a ) 6 km , b ) 7 km , c ) 7.2 km , d ) 8 km , e ) 8.4 km", + "Correct": "c", + "Explanation": "\"speed of a boat in still water = 15 km / hr speed of the current = 3 km / hr speed downstream = ( 15 + 3 ) = 18 km / hr distance travelled downstream in 24 minutes = 2460 \u00d7 18 = 2 \u00d7 185 = 7.2 km c\"" + }, + { + "Answer": 32, + "Options": "a ) 29 , b ) 92 , c ) 30 , d ) 32 , e ) 23", + "Correct": "d", + "Explanation": "\"us = 22 ds = 42 m = ( 42 + 22 ) / 2 = 32 answer : d\"" + }, + { + "Answer": 15, + "Options": "a ) 26 days , b ) 15 days , c ) 60 days , d ) 65 days , e ) 36 days", + "Correct": "b", + "Explanation": "\"assume : jose does 1 job in x days , so jose does 1 / x job in a day jane does 1 job in y days , so jane does 1 / y job in a day together , they does ( x + y ) / xy job in a day . this is equals to 1 / 20 . so ( x + y ) / xy = 1 / 5 5 ( x + y ) = xy next , we ' re told 1 job takes 15 days to complete if jose and jane each does half the work . so since jose does 1 job in x days , he wil need x / 2 days to do half the job . jane similarly will need y / 2 days to do the other half . x / 2 + y / 2 = 15 x + y = 30 so xy = 150 the answer choices are : 26 days 15 days 60 days 65 days 36 days from the answer choices , so i ' ll go for 15 days for jose and 10 days for jane . answer : b\"" + }, + { + "Answer": 20, + "Options": "a ) a . 20 , b ) b . 12 , c ) c . 14 , d ) d . 18 , e ) e . 24", + "Correct": "a", + "Explanation": "\"rate of x = 1 / 8 rate of x + y = 1 / 6 rate of y = 1 / 6 - 1 / 8 = 1 / 24 20 hours a\"" + }, + { + "Answer": 0.29166666666666663, + "Options": "a ) 3 / 8 , b ) 5 / 12 , c ) 7 / 24 , d ) 11 / 36 , e ) 13 / 48", + "Correct": "c", + "Explanation": "\"the two slowest people work at rates of 1 / 6 and 1 / 8 of the job per hour . the sum of these rates is 1 / 6 + 1 / 8 = 7 / 24 of the job per hour . the answer is c .\"" + }, + { + "Answer": 280, + "Options": "a ) 280 , b ) 63 , c ) 120 , d ) 160 , e ) 1260", + "Correct": "a", + "Explanation": "parallelogram can formed by 2 horizontal and 2 vertical lines for horizontal 5 c 2 for vertical 8 c 2 total parallelogram is 5 c 2 * 8 c 2 = 10 * 28 = 280 answer : a" + }, + { + "Answer": 7920, + "Options": "a ) 6810 , b ) 7920 , c ) 9030 , d ) 10,140 , e ) 11,250", + "Correct": "b", + "Explanation": "the distance the sound traveled to the man is 24 * 330 = 7920 meters the answer is b ." + }, + { + "Answer": 15, + "Options": "a ) 10 , b ) 15 , c ) 13 , d ) 18 , e ) 19", + "Correct": "b", + "Explanation": "\"let the required number of days be x . less persons , more days ( indirect proportion ) more working hours per day , less days ( indirect proportion ) persons 30 : 45 : : 12 : x working hours / day 6 : 5 30 x 6 x x = 45 x 5 x 12 x = ( 45 x 5 x 12 ) / ( 30 x 6 ) x = 15 answer b\"" + }, + { + "Answer": 277, + "Options": "a ) 113 miles , b ) 277 miles , c ) 456 miles , d ) 887 miles , e ) 767 miles", + "Correct": "b", + "Explanation": "the number of miles to drive to finish his journey is given by 1200 - 923 = 277 miles correct answer b" + }, + { + "Answer": 999.9999999999998, + "Options": "a ) 4000 , b ) 2000 , c ) 3000 , d ) 5000 , e ) 1000", + "Correct": "e", + "Explanation": "\"( 110 \u00d7 100 \u00d7 100 ) / 10 \u00d7 10 \u00d7 10 = 1000 answer is e .\"" + }, + { + "Answer": 600, + "Options": "a ) 150 meter , b ) 600 meter , c ) 167 meter , d ) 719 meter , e ) 169 meter", + "Correct": "b", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 36 = 600 meter answer : b\"" + }, + { + "Answer": 680, + "Options": "a ) rs 680 , b ) rs 780 , c ) rs 880 , d ) rs 480 , e ) rs 980", + "Correct": "a", + "Explanation": "\"area of the plot = 110 m * 65 m = 7150 sq . m area of plot excluding gravel = 105 m * 60 m = 6300 sq . m area of gravel = 7150 sq . m - 6300 sq . m = 850 sq . m cost of building it = 850 sq . m * 80 = 68000 p in rs = 68000 / 100 = rs 680 answer : a\"" + }, + { + "Answer": 13, + "Options": "a ) 13 seconds , b ) 25 seconds , c ) 29 seconds , d ) 21 seconds , e ) 6.25 seconds", + "Correct": "a", + "Explanation": "\"their difference is 5 second but this difference is 0 if john allows sam to start the race from 35 m ahead . that means jhon was 35 m away from finishing line when they started together . so he will cover 35 m in 5 seconds . so his speed = 35 / 5 = 7 metre / second . so time taken = 100 / 5 = 20 seconds . so sam took = 13 seconds . correct answer = a\"" + }, + { + "Answer": 3, + "Options": "a ) 10 , b ) 3 , c ) 4 , d ) 7 , e ) 5", + "Correct": "b", + "Explanation": "required number of machines = 12 * 10 / 40 = 3 answer is b" + }, + { + "Answer": 550, + "Options": "a ) $ 475 , b ) $ 500 , c ) $ 525 , d ) $ 550 , e ) $ 575", + "Correct": "d", + "Explanation": "lots of calculations . 100 * 4 + 2 * 60 * . 50 + 60 * ( 3 / 2 ) * 2 * . 50 answer = $ 550 the correct option is d" + }, + { + "Answer": 54.99520038396929, + "Options": "a ) 45 kmph , b ) 50 kmph , c ) 55 kmph , d ) 60 kmph , e ) 70 kmph", + "Correct": "c", + "Explanation": "\"explanation : let the speed of the train be x kmph . speed of the train relative to man = ( x + 5 ) kmph = ( x + 5 ) \u00d7 5 / 18 m / sec . therefore 100 / ( ( x + 5 ) \u00d7 5 / 18 ) = 6 < = > 30 ( x + 5 ) = 1800 < = > x = 55 speed of the train is 55 kmph . answer : option c\"" + }, + { + "Answer": 62.5, + "Options": "a ) 48.5 , b ) 62.5 , c ) 73.5 , d ) 87.5 , e ) 96.5", + "Correct": "b", + "Explanation": "the relative speed = 46 - 36 = 10 km / hr = 10 * 5 / 18 = 25 / 9 m / s in 45 seconds , the relative difference in distance traveled is 45 * 25 / 9 = 125 meters this distance is twice the length of each train . the length of each train is 125 / 2 = 62.5 meters the answer is b ." + }, + { + "Answer": 32, + "Options": "a ) 30 , b ) 32 , c ) 36 , d ) 40 , e ) 42", + "Correct": "b", + "Explanation": "\"the time for the first part of the trip was 30 / 48 = 5 / 8 hours . the time for the second part of the trip was 30 / 24 = 5 / 4 hours . the total time fro the trip was 5 / 8 + 5 / 4 = 15 / 8 hours . the average speed for the trip was 60 / ( 15 / 8 ) = 32 kph the answer is b .\"" + }, + { + "Answer": 480, + "Options": "a ) 480 . , b ) 500 . , c ) 510 . , d ) 600 . , e ) 800 .", + "Correct": "a", + "Explanation": "distance = speed * time d 1 = s 1 t 1 d 2 = s 2 t 2 the distance from point a to point b is the same for each trip so , d 1 = d 2 and t 2 = t 1 + 1 thus , s 1 t 1 = s 2 ( t 1 + 1 ) 160 t 1 = 120 ( t 1 + 1 ) t 1 = 3 160 * 3 = 480 answer : a" + }, + { + "Answer": 255, + "Options": "a ) 328 , b ) 279 , c ) 255 , d ) 288 , e ) 211", + "Correct": "c", + "Explanation": "speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 120 + x ) / 30 = 25 / 2 = = > 2 ( 120 + x ) = 750 = = > x = 255 m . answer : c" + }, + { + "Answer": 9.6, + "Options": "a ) 2.25 hours , b ) 8.75 hours , c ) 12 hours , d ) 14.25 hours , e ) 9.6 hours", + "Correct": "e", + "Explanation": "\"let each machine do 1 unit of work for 1 hour 8 machines - - > 8 units of work in 1 hour for 6 hours = 8 * 6 = 48 units of total work is done . now this 48 units of total work must be done by 5 machines 5 units of work ( 5 machines ) - - - > 1 hour for 48 units of work 5 * 9.6 - - - > 1 * 9.6 hours e 9.6 hours\"" + }, + { + "Answer": 7, + "Options": "a ) 3 m , b ) 4 m , c ) 7 m , d ) 9 m , e ) 10 m", + "Correct": "c", + "Explanation": "\"explanation : let the required length be x metres more men , more length built ( direct proportion ) less days , less length built ( direct proportion ) men 20 : 35 days 42 : 3 : : 56 : x therefore ( 20 x 42 x x ) = ( 35 x 3 x 56 ) x = ( 35 x 3 x 56 ) / 840 = 7 hence , the required length is 7 m . answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 80 , b ) 70 , c ) 56 , d ) 16 , e ) 40", + "Correct": "e", + "Explanation": "\"10 x = 80 = > x = 8 therefore the secretary who worked the longest spent 8 x 5 = 40 hours on the project option ( e )\"" + }, + { + "Answer": 56, + "Options": "a ) 48 kmph , b ) 50 kmph , c ) 52 kmph , d ) 56 kmph , e ) 60 kmph", + "Correct": "d", + "Explanation": "time = 6 distence = 504 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 504 / 9 = 56 kmph d" + }, + { + "Answer": 580, + "Options": "a ) 580 seconds , b ) 680 seconds , c ) 500 seconds , d ) 540 seconds , e ) 560 seconds", + "Correct": "a", + "Explanation": "if it is 4 seconds , as u have mistaken with shift key , then . . . . we ' ll have to make 145 cuts for 146 pieces . so 145 * 5 = 580 seconds answer : a" + }, + { + "Answer": 36, + "Options": "a ) 15 , b ) 18 , c ) 20 , d ) 24 , e ) 36", + "Correct": "e", + "Explanation": "losing 10 liters per day results in a loss of 450 liters in 45 days . so , those 450 liters were for 15 days , making daily consumption of the village 30 liters per day . thus the capacity of the tank is 30 * 60 = 1800 liters . losing 20 liters plus 30 liters gives 50 liters per day . at this rate the supply will last 1800 / 50 = 36 days . the answer is e ." + }, + { + "Answer": 55.99999999999999, + "Options": "a ) 32 , b ) 56 , c ) 29 , d ) 27 , e ) 21", + "Correct": "b", + "Explanation": "\"s = ( 400 + 300 ) / 45 = 700 / 45 * 18 / 5 = 56 answer : b\"" + }, + { + "Answer": 3, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 8 , e ) 11", + "Correct": "c", + "Explanation": "\"3 people can do the work one time in one day . 1 person can do 1 / 3 of the work in one day . 8 people can do 8 / 3 of the work in one day . 8 people can do 8 times the work in 3 days . the answer is c .\"" + }, + { + "Answer": 48, + "Options": "a ) 98 days , b ) 21 days , c ) 48 days , d ) 18 days , e ) 19 days", + "Correct": "c", + "Explanation": "\"wc = 1 : 2 2 x + x = 1 / 32 = > x = 1 / 96 2 x = 1 / 96 = > 48 days answer : c\"" + }, + { + "Answer": 12, + "Options": "a ) 5 , b ) 6 , c ) 8 , d ) 10 , e ) 12", + "Correct": "e", + "Explanation": "i approached this one by plugging in numbers . . . started with c . if 40 are made in 8 hours , then 20 are made in 4 hours . so time of t is 4 , and time of b is 2 . rate together : 20 / 4 + 20 / 2 = 5 + 10 = 15 . so in 1 hour , together make 15 widgets . in 3 hours = 45 . way too much . we can eliminate right away c , b , and a - because b and t reduces the time - the total # of widgets made will be even higher . now between d and e - > try only one . . if it does n ' t work , then the other one is the answer . i picked e : 12 h to make 40 widgets , and 6 hours to make 20 . this is the time of t . time of b = 4 hours . 20 / 6 + 20 / 4 = 10 / 3 + 20 / 4 find lcm of 3 and 4 = 12 . multiply first by 4 , and second by 3 : 40 + 60 / 12 = 100 / 12 divide by 4 : 25 / 3 so this is the rate given . e is the correct answer" + }, + { + "Answer": 30, + "Options": "a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", + "Correct": "c", + "Explanation": "\"( 45 * 8 ) / 40 = ( x * 6 ) / 50 = > x = 75 75 \u2013 45 = 30 answer : c\"" + }, + { + "Answer": 6, + "Options": "a ) 6 days , b ) 8 days , c ) 5 days , d ) 7 days , e ) 15 days", + "Correct": "a", + "Explanation": "\"1 / 9 + 1 / 18 = 1 / 6 6 / 1 = 6 days answer : a\"" + }, + { + "Answer": 34.09090909090909, + "Options": "a ) 36 , b ) 34 , c ) 356 , d ) 12 , e ) 45", + "Correct": "b", + "Explanation": "1 mile = 5280 feet = > 1 feet = 1 / 5280 miles if the object travels 200 feet in 4 sec then it travels 200 / 4 * 60 * 60 feet in 1 hour ( 1 hr = 60 min * 60 sec ) = 3600 * 50 feet in 1 hour = 180000 feet in 1 hr = 180000 / 5280 miles in 1 hour = 18000 / 528 miles / hr ~ 34 miles / hr answer - b" + }, + { + "Answer": 500.03999999999996, + "Options": "a ) 381 m , b ) 112 m , c ) 500 m , d ) 125 m , e ) 433 m", + "Correct": "c", + "Explanation": "\"c c = 360 * 5 / 18 * 5 = 500 m\"" + }, + { + "Answer": 2250, + "Options": "a ) 2250 m , b ) 1000 m , c ) 1250 m , d ) 1800 m , e ) 2000 m", + "Correct": "a", + "Explanation": "a takes time 1.30 minutes = 90 sec b takes time 3 minutes = 180 sec diffrence = 180 - 90 = 90 sec now we are to find distance covered in 90 sec by b 180 sec = 4500 m 1 sec = 25 m 90 sec = 25 x 90 = 2250 m answer : a" + }, + { + "Answer": 288.928, + "Options": "a ) 338 , b ) 277 , c ) 350 , d ) 288 , e ) 271", + "Correct": "d", + "Explanation": "\"d = 80 * 5 / 18 = 22 = 488 \u2013 200 = 288 answer : d\"" + }, + { + "Answer": 30, + "Options": "a ) 25 , b ) 30 , c ) 35 , d ) 40 , e ) 45", + "Correct": "b", + "Explanation": "\"due to stoppages , it covers 125 km less . time taken to cover 125 km = 125 \u00e2 \u0081 \u201e 250 h = 1 \u00e2 \u0081 \u201e 2 h = 1 \u00e2 \u0081 \u201e 2 \u00e3 \u2014 60 min = 30 min answer b\"" + }, + { + "Answer": 299.97600191984645, + "Options": "a ) 120 sec , b ) 165 sec , c ) 300 sec , d ) 167 sec , e ) 168 sec", + "Correct": "c", + "Explanation": "\"time taken to meet for the first time at the starting point = lcm { length of the track / speed of a , length of the track / speed of b } = lcm { 1500 / ( 36 * 5 / 18 ) , 1500 / ( 54 * 5 / 18 ) } = lcm ( 150 , 100 ) = 300 sec . answer : c\"" + }, + { + "Answer": 116.99040076793858, + "Options": "a ) 100 kmph , b ) 90 kmph , c ) 120 kmph , d ) 117 kmph , e ) 125 kmph", + "Correct": "d", + "Explanation": "\"let the speed of the train be x kmph speed of the train relative to man = x + 3 = ( x + 3 ) * 5 / 18 m / sec 300 / [ ( x + 3 ) * 5 / 18 ] = 9 9 ( x + 3 ) = 1080 x = 117 kmph answer is d\"" + }, + { + "Answer": 94.28571428571428, + "Options": "a ) 94.3 % , b ) 95.3 % , c ) 93.3 % , d ) 92.3 % , e ) 91.3 %", + "Correct": "a", + "Explanation": "198 / 210 * 100 = 94.28 94.3 % correct answer a" + }, + { + "Answer": 5.25, + "Options": "a ) 8.25 gallons , b ) 7.5 gallons , c ) 6.55 gallons , d ) 5.25 gallons , e ) 4.5 gallons", + "Correct": "d", + "Explanation": "\"each 40 kilometers , 1 gallon is needed . we need to know how many 40 kilometers are there in 210 kilometers ? 210 / 40 = 5.25 * 1 gallon = 5.25 gallons correct answer d\"" + }, + { + "Answer": 4094.3396226415093, + "Options": "a ) 5600 , b ) 4600 , c ) 4094 , d ) 7200 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : no . of bricks = volume of the wall / volume of 1 brick = ( 700 x 800 x 15.5 ) / ( 20 x 13.25 x 8 ) = 4094 answer : c\"" + }, + { + "Answer": 12, + "Options": "a ) 17 sec , b ) 12 sec , c ) 18 sec , d ) 19 sec , e ) 52 sec", + "Correct": "b", + "Explanation": "speed of the first train = 120 / 10 = 12 m / sec . speed of the second train = 120 / 5 = 8 m / sec . relative speed = 12 + 8 = 20 m / sec . required time = ( 120 + 120 ) / 20 = 12 sec . answer : b" + }, + { + "Answer": 3, + "Options": "a ) 2 , b ) 8 , c ) 1 , d ) 3 , e ) 4", + "Correct": "d", + "Explanation": "explanation : use formula for a work members \u00d7 days = constant 3 \u00d7 4 = 4 \u00d7 a a = 3 so answer is 3 days answer : d" + }, + { + "Answer": 8250, + "Options": "a ) 8250 , b ) 9350 , c ) 10,450 , d ) 11,550 , e ) 12,650", + "Correct": "a", + "Explanation": "\"the distance the sound traveled to the man is 25 * 330 = 8250 meters the answer is a .\"" + }, + { + "Answer": 14.998800095992321, + "Options": "a ) 15 sec , b ) 9 sec , c ) 12 sec , d ) 15 sec , e ) 18 sec", + "Correct": "a", + "Explanation": "\"speed of the train relative to man = ( 68 - 8 ) kmph = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec time taken by the train to cross the man = time taken by it to cover 250 m at 50 / 3 m / sec = 250 * 3 / 50 sec = 15 sec answer : a .\"" + }, + { + "Answer": 135, + "Options": "a ) 40 , b ) 135 , c ) 50 , d ) 55 , e ) 60", + "Correct": "b", + "Explanation": "a - b = 120 miles b - c = 60 miles avg speed = 20 miles time taken for a - b 3 t and b - c be t avg speed = ( 120 + 60 ) / total time 20 = 180 / 4 t t = 135 b - c = 135 mph answer b" + }, + { + "Answer": 53.57142857142857, + "Options": "a ) 53.6 % , b ) 52.6 % , c ) 54.6 % , d ) 55.6 % , e ) 59.6 %", + "Correct": "a", + "Explanation": "30 / 56 * 100 = 53.57 53.6 % correct answer a" + }, + { + "Answer": 2.8333333333333335, + "Options": "a ) 3.5 gallons , b ) 2.37 gallons , c ) 5.7 gallons , d ) 4.25 gallons , e ) 2.83 gallons", + "Correct": "e", + "Explanation": "\"each 60 kilometers , 1 gallon is needed . we need to know how many 60 kilometers are there in 170 kilometers ? 60 \u00e3 \u00b7 170 = 2.83 \u00e3 \u2014 1 gallon = 2.83 gallons correct answer is e ) 2.83 gallons\"" + }, + { + "Answer": 8, + "Options": "['a ) 10', 'b ) 9', 'c ) 8', 'd ) 12', 'e ) 15']", + "Correct": "c", + "Explanation": "perimeter = 2 \u03c0 r 2 \u03c0 * 4 / \u03c0 = 8 cm answer : c" + }, + { + "Answer": 95, + "Options": "a ) 187 cm 2 , b ) 185 cm 2 , c ) 85 cm 2 , d ) 85 cm 2 , e ) 95 cm 2", + "Correct": "e", + "Explanation": "\"explanation : area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 5 ) = 95 cm 2 answer : option e\"" + }, + { + "Answer": 120, + "Options": "a ) 270 , b ) 288 , c ) 266 , d ) 120 , e ) 126", + "Correct": "d", + "Explanation": "\"relative speed = ( 72 - 36 ) * 5 / 18 = 2 * 5 = 10 mps . distance covered in 12 sec = 27 * 10 = 270 m . the length of the faster train = 120 m . answer : d\"" + }, + { + "Answer": 90, + "Options": "a ) 60 sec , b ) 70 sec , c ) 80 sec , d ) 90 sec , e ) 100 sec", + "Correct": "d", + "Explanation": "actually arjun has to make a lead of 600 m , because when arjun will be 600 m ahead of bhishma , they will be together again as a person when completes the total length it starts retracing he same path and thus arjun and bhishma can be together again . since , they make a difference of 10 m in 1 second . so , he will create 600 m difference in 60 second . d" + }, + { + "Answer": 35, + "Options": "a ) 25 , b ) 30 , c ) 28 , d ) 24 , e ) 35", + "Correct": "e", + "Explanation": "\"number of workers = 10 * ( 45 - 10 ) / 10 = 35 answer is e\"" + }, + { + "Answer": 9, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "d", + "Explanation": "\"the speed of the train relative to the man = 40 + 4 = 44 km / h . 44000 m / h * 1 h / 3600 s = ( 440 / 36 ) m / s ( 110 m ) / ( 440 / 36 m / s ) = ( 110 * 36 ) / 440 = 36 / 4 = 9 seconds the answer is d .\"" + }, + { + "Answer": 1.1, + "Options": "a ) 2.9 kmph , b ) 1.1 kmph , c ) 1.3 kmph , d ) 1.2 kmph , e ) 5.7 kmph", + "Correct": "b", + "Explanation": "\"11 / 36 m / s = 11 / 36 * 18 / 5 = 11 / 10 = 1.1 kmph . answer : b\"" + }, + { + "Answer": 4, + "Options": "a ) 4 days , b ) 6 days , c ) 8 days , d ) 18 days , e ) none of these", + "Correct": "a", + "Explanation": "solution rates of worktio of raing of a and b = 2 : 1 . so , ratio of times taken = 1 : 2 \u2234 a \u2019 s 1 day \u2019 s work = 1 / 6 b \u2019 s 1 day \u2019 s work = 1 / 12 ( a + b ) ' s 1 day \u2019 s work = ( 1 / 6 + 1 / 12 ) = 3 / 12 = 1 / 4 so , a and b together can finish the work in 4 days . answer a" + }, + { + "Answer": 2880, + "Options": "a ) 2110 , b ) 2220 , c ) 2440 , d ) 2660 , e ) 2880", + "Correct": "e", + "Explanation": "\"the tank is emptied at this rate : 9 + 8 - 5 = 12 cubic inches / min the tank has a volume of 20 * 12 * 12 * 12 = 34560 cubic inches . the time it takes to empty the tank is 34560 / 12 = 2880 minutes . the answer is e .\"" + }, + { + "Answer": 12, + "Options": "a ) 10 hours , b ) 12 hours , c ) 8 hours , d ) 5 hours , e ) 15 hours", + "Correct": "b", + "Explanation": "\"work done by the leak in 1 hour = 1 / 6 - 1 / 12 = 1 / 12 the leak will empty the tank in 12 hours answer is b\"" + }, + { + "Answer": 51, + "Options": "a ) 70 , b ) 52 , c ) 51 , d ) 49 , e ) 50", + "Correct": "c", + "Explanation": "total number of players = 10 + 12 + 16 + 13 = 51 answer is c" + }, + { + "Answer": 36, + "Options": "a ) 33 , b ) 34 , c ) 35 , d ) 36 , e ) 37", + "Correct": "d", + "Explanation": "sandy walks 12 km in the first two hours so there are 40 km remaining . when ed starts walking , they complete a total of 10 km per hour . they will meet four hours after ed starts walking . since sandy walks for 6 hours , she walks 36 km . the answer is d ." + }, + { + "Answer": 11.879049676025918, + "Options": "a ) 15.8 sec . , b ) 12.8 sec . , c ) 11.88 sec . , d ) 10.8 sec . , e ) 08.8 sec .", + "Correct": "c", + "Explanation": "\"relative speed = ( 60 + 40 ) km / hr = 100 x 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = ( 140 + 190 ) m = 330 m . required time = 330 x 9 / 250 = 54 / 5 = 11.88 sec . answer c\"" + }, + { + "Answer": 30, + "Options": "a ) 22 , b ) 77 , c ) 30 , d ) 99 , e ) 12", + "Correct": "c", + "Explanation": "\"us = 25 ds = 35 m = ( 35 + 25 ) / 2 = 30 answer : c\"" + }, + { + "Answer": 220, + "Options": "a ) 220 meters , b ) 360 meters , c ) 420 meters , d ) 600 meters , e ) can not be determined", + "Correct": "a", + "Explanation": "\"speed of the train in metres / sec = 72000 / 3600 = 20 distance travelled by train to cross the platform = 30 * 20 = 600 = length of train + length of platform distance travelled by train to cross the man = 19 * 20 = 380 = length of train length of platform = 600 - 380 = 220 answer : a\"" + }, + { + "Answer": 9.2, + "Options": "a ) 2.3 m , b ) 4.6 m , c ) 7.8 m , d ) 9.2 m , e ) none", + "Correct": "d", + "Explanation": "solution let ab be the wall and bc be the ladder . then , < abc = 60 \u00b0 ac = 4.6 m . ; ac / bc = cos 60 \u00b0 = 1 / 2 \u2039 = \u203a bc = 2 \u00d7 ac = ( 2 \u00d7 4.6 ) m = 9.2 m answer d" + }, + { + "Answer": 720, + "Options": "a ) 229 , b ) 288 , c ) 600 , d ) 720 , e ) 121", + "Correct": "d", + "Explanation": "\"d = 30 * 6 = 180 rs = 40 \u2013 30 = 10 t = 180 / 10 = 18 d = 40 * 18 = 720 km answer : d\"" + }, + { + "Answer": 122.52211349000194, + "Options": "a ) 122.55 , b ) 132 , c ) 156 , d ) 158 , e ) 267", + "Correct": "a", + "Explanation": "\"2 * 22 / 7 * 13 = 81.7 81.7 * 1 1 / 2 = rs . 122.55 answer : a\"" + }, + { + "Answer": 190, + "Options": "a ) 200 seconds , b ) 140 seconds , c ) 220 seconds , d ) 190 seconds , e ) none", + "Correct": "d", + "Explanation": "solution : a can give b a start of 50 metres or 10 seconds in a 1000 m race . that is , b takes 10 seconds to run 50 metres . therefore , b will take ( 10 / 50 ) * 1000 = 200 seconds to run 1000 metres . a who can give b a start of 10 seconds will take 10 seconds lesser to run the 1000 m . hence , the time taken by a = 190 seconds . answer d" + }, + { + "Answer": 47, + "Options": "a ) 39 \u00b0 c , b ) 44 \u00b0 c , c ) 37 \u00b0 c , d ) 47 \u00b0 c , e ) none of these", + "Correct": "d", + "Explanation": "explanation : t + w + t = 52 \u00d7 3 = 156 \u00b0 c w + t + f = 54 \u00d7 3 = 162 \u00b0 c also , temperature on friday = 53 \u00b0 c temperature on tuesday = 156 + 53 - 162 = 47 \u00b0 c answer : option d" + }, + { + "Answer": 50, + "Options": "a ) 10 , b ) 20 , c ) 25 , d ) 30 , e ) 50", + "Correct": "e", + "Explanation": "\"total distance = 100 miles ( easier to work with % ) 75 % of the distance = 75 miles 25 % of the distance = 25 miles 1 st part of the trip \u2192 75 / 50 = 1.5 2 nd part of the trip \u2192 25 / s = t total trip \u2192 ( 75 + 25 ) / 50 = 1.5 + t \u00bb 100 / 50 = 1.5 + t \u00bb 2 = 1.5 + t \u00bb t = 0.5 back to 2 nd part of the trip formula : 25 / s = 0.5 \u00bb s = 50 ans e\"" + }, + { + "Answer": 17.14285714285714, + "Options": "a ) a ) 73 , b ) b ) 20 , c ) c ) 83 , d ) d ) 17.1 , e ) e ) 52", + "Correct": "d", + "Explanation": "\"explanation : 1 : 2 / 5 = 5 : 2 2 / 7 * 60 = 20 answer : option d\"" + }, + { + "Answer": 90, + "Options": "a ) 90 , b ) 85 , c ) 80 , d ) 75 , e ) 70", + "Correct": "a", + "Explanation": "\"the projectiles travel a total of 970 km per hour . the time to meet is 1455 / 970 = 1.5 hours = 90 minutes the answer is a .\"" + }, + { + "Answer": 5.263157894736842, + "Options": "a ) 6.3 , b ) 6.9 , c ) 5.3 , d ) 6.1 , e ) 6.2", + "Correct": "c", + "Explanation": "\"1 day work of the three persons = ( 1 / 10 + 1 / 20 + 1 / 25 ) = 19 / 100 so , all three together will complete the work in 100 / 19 = 5.3 days . answer : c\"" + }, + { + "Answer": 180, + "Options": "a ) 178 , b ) 180 , c ) 182 , d ) 184 , e ) 186", + "Correct": "b", + "Explanation": "\"length = speed * time speed = l / t s = 2500 / 50 s = 50 m / sec speed = 50 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 180 kmph answer : b\"" + }, + { + "Answer": 3, + "Options": "a ) 9 , b ) 8 , c ) 4 , d ) 3 , e ) 1", + "Correct": "d", + "Explanation": "\"explanation : let x men can do the in 12 days and the required number of days be z more men , less days [ indirect proportion ] less work , less days [ direct proportion ] answer : d ) 3 days\"" + }, + { + "Answer": 12, + "Options": "a ) 8 , b ) 5 , c ) 9 , d ) 6 , e ) 12", + "Correct": "e", + "Explanation": "\"at $ 3 per hour up to 40 hours , regular pay = $ 3 x 40 = $ 120 if total pay = $ 168 , overtime pay = $ 192 - $ 120 = $ 72 overtime rate ( twice regular ) = 2 x $ 3 = $ 6 per hour = > number of overtime hours = $ 72 / $ 6 = 12 ans is e\"" + }, + { + "Answer": 68.57142857142857, + "Options": "a ) 80 kmph , b ) 69 kmph , c ) 70 kmph , d ) 90 kmph , e ) none of these", + "Correct": "b", + "Explanation": "\"as we know that speed = distance / time for average speed = total distance / total time taken thus , total distance = 210 + 270 = 480 km thus , total speed = 7 hrs or , average speed = 480 / 7 or , 69 kmph . answer : b\"" + }, + { + "Answer": 30, + "Options": "a ) 40 , b ) 25 , c ) 35 , d ) 30 , e ) 50", + "Correct": "d", + "Explanation": "\"the distance traveled by both of them is the same at the time of overtaking . 3 ( t + 12 ) = 5 t t = 18 . cristina will catch up nicky in 18 seconds . so in 18 seconds cristina would cover = 18 * 5 = 90 meter . now time taken my nicky to cover 90 meter = 90 / 3 = 30 seconds . d\"" + }, + { + "Answer": 17.5, + "Options": "a ) 17.5 minutes . , b ) 35 minutes . , c ) 52.5 minutes . , d ) 70 minutes . , e ) 105 minutes .", + "Correct": "a", + "Explanation": "\"danny ' s time is 35 minutes . the time to reach halfway is 17.5 minutes . steve ' s time is 70 minutes . the time to reach halfway is 35 minutes . the time difference is 35 - 17.5 = 17.5 minutes the answer is a .\"" + }, + { + "Answer": 156.66666666666666, + "Options": "a ) 199 sec , b ) 156.7 sec , c ) 726 sec , d ) 127 sec , e ) 128 sec", + "Correct": "b", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 10 ) / 60 = 166.7 sec . time taken by a = 166.7 - 10 = 156.7 sec . answer : b\"" + }, + { + "Answer": 23.998080153587715, + "Options": "a ) 18 , b ) 24 , c ) 17 , d ) 12 , e ) 13", + "Correct": "b", + "Explanation": "\"speed of the boat downstream = 15 + 3 = 18 kmph = 18 * 5 / 18 = 5 m / s hence time taken to cover 120 m = 120 / 5 = 24 seconds . answer : b\"" + }, + { + "Answer": 133.33333333333331, + "Options": "a ) 99.33 km , b ) 133.33 km , c ) 125.33 km , d ) 156.66 km , e ) none", + "Correct": "b", + "Explanation": "sol . difference between timings = 20 min = 1 / 3 hr . let the length of journey be x km . then , x / 80 - x / 100 = 1 / 3 \u00e2 \u2021 \u201d 5 x - 4 x = 133.33 \u00e2 \u2021 \u201d x = 133.33 km . answer b" + }, + { + "Answer": 19, + "Options": "a ) 6.33 , b ) 7.5 , c ) 10 , d ) 15 , e ) 19", + "Correct": "e", + "Explanation": "\"simultaneous grow = same amount of time in 20 days we should expect to have p ( 2 ) ^ 20 so if we have two things doing the job of getting us there then ; 2 ^ x + 2 ^ x = 20 2 ( 2 ) ^ x = 2 2 ^ ( x + 1 ) = 2 ^ 20 x + 1 = 20 x = 19 ; answer : e\"" + }, + { + "Answer": 2550, + "Options": "a ) 90 , b ) 2,700 , c ) 4,500 , d ) 2,550 , e ) 324,000", + "Correct": "d", + "Explanation": "\"together the two machines make 30 + 55 = 85 copies per minute . so , in half an hour they will make 85 * 30 = 2,550 copies . answer : d .\"" + }, + { + "Answer": 60, + "Options": "a ) 35 kmh , b ) 45 kmh , c ) 60 kmh , d ) 75 kmh , e ) 90 kmh", + "Correct": "c", + "Explanation": "\"time = distance / speed difference in time = 1 / 2 hrs 90 / x - 90 / ( x + 30 ) = 1 / 2 substitute the value of x from the options . - - > x = 60 - - > 90 / 60 - 90 / 90 = 3 / 2 - 1 = 1 / 2 answer : c\"" + }, + { + "Answer": 4, + "Options": "a ) 12 , b ) 9 , c ) 8 , d ) 6 , e ) 4", + "Correct": "e", + "Explanation": "\"a ' s 1 hour ' s work = 1 / 4 ; ( b + c ) ' s 1 hour ' s work = 1 / 3 ; ( a + c ) ' s 1 hour ' s work = 1 / 3 . ( a + b + c ) ' s 1 hour ' s work = ( 1 / 4 + 1 / 3 ) = 7 / 12 . b ' s 1 hour ' s work = ( 7 / 12 - 1 / 3 ) = 1 / 4 . therefore a alone will take 4 hours to do the work . e\"" + }, + { + "Answer": 0.8333333333333333, + "Options": "a ) 5 / 6 , b ) 1 / 4 , c ) 2 / 3 , d ) 3 / 4 , e ) 11 / 12", + "Correct": "a", + "Explanation": "\"so please : find the probability of the event thatnoneof the roads you pick will be at least 5 miles long and subtract from 1 to get the probability thatat least oneof the roads you pick will be at least 5 miles long : p = 1 - 1 / 3 * 1 / 2 = 5 / 6 . answer : a .\"" + }, + { + "Answer": 15, + "Options": "a ) 10 min , b ) 12 min , c ) 18 min , d ) 15 min , e ) 20 min", + "Correct": "d", + "Explanation": "\"due to stoppages , it covers 10 km less . time taken to cover 10 km = ( 10 / 40 x 60 ) min = 15 min answer : d\"" + }, + { + "Answer": 15, + "Options": "a ) 15 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 72 %", + "Correct": "a", + "Explanation": "answer : a 54 \u00b0 divided by 360 \u00b0 equals 0.15 , therefore the sector is equal to 15 % of the total" + }, + { + "Answer": 30, + "Options": "a ) 30 , b ) 35 , c ) 40 , d ) 25 , e ) 60", + "Correct": "a", + "Explanation": "\"the distance traveled by both of them is the same at the time of overtaking . 3 ( t + 12 ) = 5 t t = 18 . cristina will catch up nicky in 18 seconds . so in 18 seconds cristina would cover = 18 * 5 = 90 meter . now time taken my nicky to cover 90 meter = 90 / 3 = 30 seconds . a\"" + }, + { + "Answer": 550.0000000000001, + "Options": "a ) 287 , b ) 350 , c ) 828 , d ) 277 , e ) 550", + "Correct": "e", + "Explanation": "\"speed = 300 / 18 = 50 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 5 a = 50 / 3 3 x + 900 = 2550 = > x = 550 m . answer : e\"" + }, + { + "Answer": 38.4, + "Options": "a ) 25.8 , b ) 26.8 , c ) 38.4 , d ) 34.4 , e ) 29.8", + "Correct": "c", + "Explanation": "\"avg speed = 2 * x * y / ( x + y ) = 2 * 32 * 48 ( 32 + 48 ) = 38.4 answer : c\"" + }, + { + "Answer": 600.0000000000001, + "Options": "a ) 99 , b ) 289 , c ) 350 , d ) 882 , e ) 600", + "Correct": "e", + "Explanation": "speed = [ 300 / 18 ] m / sec = 50 / 3 m / sec . let the length of the platform be x meters . then , x + 300 / 54 = 50 / 3 3 ( x + 300 ) = 2700 \u00e8 x = 350 m . answer : e" + }, + { + "Answer": 57.5, + "Options": "a ) 49 m 2 , b ) 50 m 2 , c ) 53.5 m 2 , d ) 55 m 2 , e ) 57.5 m 2", + "Correct": "e", + "Explanation": "\"area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 5 x 1.25 + 6 x 1.25 ) + 6 x 5 ] m 2 = 57.5 m 2 . answer : option e\"" + }, + { + "Answer": 144, + "Options": "a ) 140 , b ) 142 , c ) 144 , d ) 146 , e ) 148", + "Correct": "c", + "Explanation": "\"length = speed * time speed = l / t s = 1600 / 40 s = 40 m / sec speed = 40 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 144 kmph answer : c\"" + }, + { + "Answer": 60, + "Options": "a ) 10 hours , b ) 40 hours , c ) 20 hours , d ) 60 hours , e ) none of them", + "Correct": "d", + "Explanation": "\"let the required number of hours be x . then , less men , more hours ( indirect proportion ) 15 : 36 : : 25 : x = ( 15 x x ) = ( 36 x 25 ) = ( 36 x 25 ) / 15 = 60 hence , 15 men can do it in 60 hours . answer is d .\"" + }, + { + "Answer": 50, + "Options": "a ) 1 , b ) 3.5 , c ) 20 , d ) 49 , e ) 50", + "Correct": "e", + "Explanation": "\"explanation : let the required number days be x . less honey bees , more days ( indirect proportion ) less honey , less days ( direct proportion ) honey bees 1 : 50 : : 50 : x honey 50 : 1 = > 1 x 50 x x = 50 x 1 x 50 = > x = 50 . answer : e\"" + }, + { + "Answer": 23, + "Options": "a ) 20 , b ) 23 , c ) 24 , d ) 25 , e ) 26", + "Correct": "b", + "Explanation": "\"according to the chain rule , m 1 x t 1 = m 2 x t 2 therefore , 69 x 12 x 5 = 30 x 6 x x x = 23 hence , the number of days = 23 . answer : b\"" + }, + { + "Answer": 27.272727272727273, + "Options": "a ) 21.21 , b ) 24.24 , c ) 27.27 , d ) 30.35 , e ) 33.33", + "Correct": "c", + "Explanation": "\"80 feet / 2 seconds = 40 feet / second ( 40 feet / second ) * ( 3600 seconds / hour ) * ( 1 mile / 5280 feet ) = 27.27 miles / hour ( approximately ) the answer is c .\"" + }, + { + "Answer": 21, + "Options": "a ) 6.33 , b ) 7.5 , c ) 21 , d ) 15 , e ) 19", + "Correct": "c", + "Explanation": "\"if there is one bacteria colony , then it will reach the limit of its habitat in 20 days . if there are two bacteria colonies , then in order to reach the limit of habitat they would need to double one time less than in case with one colony . thus colonies need to double 21 times . answer : c . similar questions to practice : hope it helps .\"" + }, + { + "Answer": 380, + "Options": "a ) 380 sec , b ) 190 sec , c ) 726 sec , d ) 127 sec , e ) 128 sec", + "Correct": "a", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 20 ) / 50 = 400 sec . time taken by a = 400 - 20 = 380 sec . answer : a\"" + }, + { + "Answer": 13.5, + "Options": "a ) 11.0 km , b ) 13.8 km , c ) 11.5 km , d ) 12.5 km , e ) 13.5 km", + "Correct": "e", + "Explanation": "\"d = product of speed difference of time / difference of speed d = 5 x 6 / 60 [ 12 \u00e2 \u02c6 \u2019 ( \u00e2 \u02c6 \u2019 15 ) / 6 - 5 ] [ here , \u00e2 \u20ac \u201c ve sign indicates before the schedule time ] \u00e2 \u2021 \u2019 d = 13.5 km answer e\"" + }, + { + "Answer": 47.99999999999999, + "Options": "a ) 36 , b ) 45 , c ) 48 , d ) 49 , e ) 50", + "Correct": "c", + "Explanation": "r . s = ( 60 + 90 ) kmph = > ( 150 * 5 / 18 ) m / sec = > ( 125 / 3 ) m / sec distance covered = ( 1.10 + 0.9 ) km = ( 2 * 1000 ) = 2000 m . required time = ( 2000 * 3 / 125 ) = 48 sec . answer : c" + }, + { + "Answer": 21.666666666666668, + "Options": "a ) 21.6 , b ) 23.6 , c ) 22.6 , d ) 21.8 , e ) 21.3", + "Correct": "a", + "Explanation": "\"let the number of men originally employed be x . 10 x = 13 ( x \u00e2 \u20ac \u201c 5 ) or x = 21.6 answer a\"" + }, + { + "Answer": 19.445999999999998, + "Options": "a ) 10 mps , b ) 19.44 mps , c ) 97.44 mps , d ) 17.44 mps , e ) 18.44 mps", + "Correct": "b", + "Explanation": "\"70 * 5 / 18 = 19.44 mps answer : b\"" + }, + { + "Answer": 315, + "Options": "a ) 150 meter , b ) 286 meter , c ) 186 meter , d ) 315 meter , e ) 265 meter", + "Correct": "d", + "Explanation": "\"speed = 126 * ( 5 / 18 ) m / sec = 35 m / sec length of train ( distance ) = speed * time ( 35 ) * 9 = 315 meter answer : d\"" + }, + { + "Answer": 1440, + "Options": "a ) 2337 , b ) 2667 , c ) 1440 , d ) 2887 , e ) 2661", + "Correct": "c", + "Explanation": "first of all we will find the new daily productivity of the farmer in hectares per day : 25 % of 120 hectares is 25100 \u22c5 120 = 3025100 \u22c5 120 = 30 hectares , therefore 120 + 30 = 150120 + 30 = 150 hectares is the new daily productivity . lets x be the planned number of days allotted for the job . then the farm is 120 \u22c5 x 120 \u22c5 x hectares . on the other hand , we get the same area if we add 120 \u22c5 2120 \u22c5 2 hectares to 150 ( x \u2212 4 ) 150 ( x \u2212 4 ) hectares . then we get the equation 120 x = 120 \u22c5 2 + 150 ( x \u2212 4 ) 120 x = 120 \u22c5 2 + 150 ( x \u2212 4 ) x = 12 x = 12 so , the job was initially supposed to take 12 days , but actually the field was ploughed in 12 - 2 = 10 days . the field ' s area is 120 \u22c5 12 = 1440120 \u22c5 12 = 1440 hectares . answer : c" + }, + { + "Answer": 2, + "Options": "a ) 2 days , b ) 7 days , c ) 8 days , d ) 9 days , e ) 45 days", + "Correct": "a", + "Explanation": "1 man ' s 1 day work = 1 / 108 12 men ' s 6 day ' s work = 1 / 9 * 6 = 2 / 3 remaining work = 1 - 2 / 3 = 1 / 3 18 men ' s 1 day work = 1 / 108 * 18 = 1 / 6 1 / 6 work is done by them in 1 day . 1 / 3 work is done by them in 6 * 1 / 3 = 2 days . answer : a" + }, + { + "Answer": 25, + "Options": "a ) 50 hours , b ) 40 hours , c ) 25 hours , d ) 12 hours , e ) 8 hours", + "Correct": "c", + "Explanation": "here , we ' re told that 5 machines can produce 20 units in 10 hours . . . . that means that each machine works for 10 hours apiece . since there are 5 machines ( and we ' re meant to assume that each machine does the same amount of work ) , then the 5 machines equally created the 20 units . 20 units / 5 machines = 4 units are made by each machine every 10 hours now that we know how long it takes each machine to make 4 units , we can break this down further if we choose to . . . 10 hours / 4 units = 2.5 hours per unit when 1 machine is working . the prompt asks us how long would it take 20 machines to produce 200 units . if 20 machines each work for 2.5 hours , then we ' ll have 20 units . since 200 units is ' 10 times ' 20 , we need ' 10 times ' more time . ( 2.5 hours ) ( 10 times ) = 25 hours final answer : [ reveal ] spoiler : c" + }, + { + "Answer": 2.6, + "Options": "a ) 2.6 days , b ) 3.6 days , c ) 5.6 days , d ) 6 days , e ) 2 days", + "Correct": "a", + "Explanation": "\"the length of wall painted by one boy in one day = 40 / 2 * 1 / 4 = 5 m no . of days required to paint 50 m cloth by 8 boys = 65 / 5 * 1 / 5 = 2.6 days . a\"" + }, + { + "Answer": 4.571428571428571, + "Options": "a ) 4 minutes , b ) 2 / 7 minutes , c ) 32 / 7 minutes , d ) 224 / 7 minutes , e ) 28 minutes", + "Correct": "c", + "Explanation": "\"pipe a can fill a tank in 32 minutes - - > the rate of a = 1 / 32 tank / minute ; pipe b can fill the same tank 5 times fasterthan pipe a - - > the rate of b = 1 / 32 + 5 / 32 = 6 / 32 tank / minute . their combined rate = 1 / 32 + 6 / 32 = 7 / 32 tank / minute ; therefore , a and b can fill the tank in 32 / 7 minutes . answer : c\"" + }, + { + "Answer": 50, + "Options": "a ) 120 metres , b ) 180 metres , c ) 324 metres , d ) 50 metres , e ) 180 metres", + "Correct": "d", + "Explanation": "\"speed = ( 60 x 5 / 18 ) / m / sec = 50 / 3 m / sec . length of the train = ( speed x time ) . length of the train = 50 x 3 / 3 m = 50 m . answer : option d\"" + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "c", + "Explanation": "\"explanation : we know we can calculate it by 1 / 2 ( a + b ) = > 1 / 2 ( 11 + 5 ) = 1 / 2 ( 16 ) = 8 km / hr answer is c\"" + }, + { + "Answer": 53.66237367677253, + "Options": "a ) 52.66 , b ) 53.66 , c ) 54.66 , d ) 58.66 , e ) 59.66", + "Correct": "b", + "Explanation": "\"t = ( 660 + 145 ) / 54 * 18 / 5 t = 53.66 answer : b\"" + }, + { + "Answer": 2, + "Options": "a ) 5 hours , b ) 4 hours , c ) 3 hours , d ) 2 hours , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : speed of the boat in still water = 22 km / hr speed of the stream = 5 km / hr speed downstream = ( 22 + 5 ) = 27 km / hr distance travelled downstream = 54 km time taken = distance / speed = 54 / 27 = 2 hours . answer : option d\"" + }, + { + "Answer": 9.679225661947045, + "Options": "a ) 12.9 sec , b ) 9.68 sec , c ) 17.9 sec , d ) 16.8 sec , e ) 14.9 sec", + "Correct": "b", + "Explanation": "\"speed = 90 * 5 / 18 = 25 m / sec total distance covered = 110 + 132 = 242 m . required time = 242 / 25 = 9.68 sec . answer : b\"" + }, + { + "Answer": 139.99999999999997, + "Options": "a ) 100 , b ) 110 , c ) 120 , d ) 130 , e ) 140", + "Correct": "e", + "Explanation": "\"avery takes 3 hours tom takes 2 hours efficiency of avery is 1 / 3 units / hr efficiency of tom is 1 / 5 units / hr combined efficiency of tom and avery is 1 / 3 + 1 / 5 = 8 / 15 units / hr since they worked for 1 hour they completed 8 / 15 units of work and 7 / 15 units of work is left which is to be completed by tom ( since avery left ) so time taken by tom to complete the remaining work will be 7 / 15 / 1 / 5 hours = > 7 / 3 * 60 = 140 minutes . . . answer will be ( e )\"" + }, + { + "Answer": 26, + "Options": "a ) 22 , b ) 24 , c ) 26 , d ) 28 , e ) 30", + "Correct": "c", + "Explanation": "\"the height : length ratio will be equal in both cases . 18 / 45 = x / 65 x = 26 the answer is c .\"" + }, + { + "Answer": 75, + "Options": "a ) 22 , b ) 38 , c ) 60 , d ) 88 , e ) 75", + "Correct": "e", + "Explanation": "\"explanation : let the required no of hours be x . then less men , more hours ( indirect proportion ) \\ inline \\ fn _ jvn \\ therefore 12 : 36 : : 25 : x \\ inline \\ fn _ jvn \\ leftrightarrow ( 12 x x ) = ( 36 x 25 ) \\ inline \\ fn _ jvn \\ leftrightarrow \\ inline \\ fn _ jvn x = \\ frac { 36 \\ times 25 } { 12 } = 75 hence , 12 men can do it in 75 hours . answer : e ) 75\"" + }, + { + "Answer": 60, + "Options": "a ) 25 m , b ) 45 m , c ) 32 m , d ) 50 m , e ) 60 m", + "Correct": "e", + "Explanation": "\"new speed = 5 / 6 th of usual speed new time = 6 / 5 th of usual time 6 / 5 ut - ut = 12 m ut / 5 = 12 m ut = 60 m answer is e\"" + }, + { + "Answer": 12000, + "Options": "a ) 12000 , b ) 4500 , c ) 5000 , d ) 8000 , e ) 9000", + "Correct": "a", + "Explanation": "\"number of bottles that can be held in a case = 5 number of cases required to hold 60000 bottles = 60000 / 5 = 12000 cases . so the answer is a = 12000\"" + }, + { + "Answer": 20, + "Options": "a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", + "Correct": "c", + "Explanation": "\"in 5 minutes , the cyclist travels a distance of ( 5 / 60 ) * 25 = 25 / 12 km . the time it takes the hiker to complete this distance is ( 25 / 12 ) / 5 = 5 / 12 hours = 25 minutes the cyclist needs to wait 25 - 5 = 20 minutes the answer is c .\"" + }, + { + "Answer": 24, + "Options": "a ) 20 % , b ) 24 % , c ) 36 % , d ) 37.5 % , e ) 70 %", + "Correct": "b", + "Explanation": "60 members & 20 percent = 12 50 members & 40 percent = 20 40 members & 10 percent = 4 = > 36 / 150 \u2217 100 = 24 % answer b" + }, + { + "Answer": 44.00000000000001, + "Options": "a ) 38 , b ) 40 , c ) 44 , d ) 45 , e ) 48", + "Correct": "c", + "Explanation": "the time for the first part of the trip was 25 / 66 hours . the time for the second part of the trip was 25 / 33 hours . the total time fro the trip was 25 / 66 + 25 / 33 = 75 / 66 = 25 / 22 hours . the average speed for the trip was 50 / ( 25 / 22 ) = 44 kph the answer is c ." + }, + { + "Answer": 180, + "Options": "a ) 138 , b ) 148 , c ) 150 , d ) 162 , e ) 180", + "Correct": "e", + "Explanation": "\"5 hr = 300 min . if harriet spend equal hrs on each leg she will spend 150 min on each . since speed a - b is less than speed b - a and distance on each leg is the same , time spent on a - b is more than 150 min , which mean we can eliminate ans . a , b and c . now let plug in ans . d or e and verify which one give same distance on each leg . e . t = 180 min * leg a - b - - - > d = 100.180 / 60 = 18000 / 60 * leg b - a - - - - > d = 150 * 120 / 60 = 18000 / 60 so the correct ans . ise\"" + }, + { + "Answer": 0.5555555555555556, + "Options": "a ) 3 / 25 , b ) 11 / 36 , c ) 5 / 9 , d ) 2 / 3 , e ) 25 / 36", + "Correct": "c", + "Explanation": "gas used = ( 5 hours ) * ( 50 miles / hour ) * ( 1 gallon / 30 miles ) = 8 + 1 / 3 gallons portion used = ( 8 + 1 / 3 ) / 15 = 5 / 9 ans c" + }, + { + "Answer": 2.2222222222222223, + "Options": "a ) 8 / 3 , b ) 3 / 8 , c ) 8 / 5 , d ) 5 / 8 , e ) 20 / 9", + "Correct": "e", + "Explanation": "\"distance traveled by eddy = 600 km time taken by eddy = 3 hours average speed of eddy = 600 / 3 = 200 km / hour distance traveled by freddy = 360 km time taken by freddy = 4 hours average speed of freddy = 360 / 4 = 90 km / hour ratio of average speed of eddy to freddy = 200 / 90 = 20 / 9 answer e\"" + }, + { + "Answer": 10, + "Options": "a ) 12 , b ) 11 , c ) 10 , d ) 9 , e ) 8", + "Correct": "c", + "Explanation": "\"explanation : speed of the bus excluding stoppages = 54 = 54 kmph speed of the bus including stoppages = 45 = 45 kmph loss in speed when including stoppages = 54 \u00e2 \u02c6 \u2019 45 = 9 kmph = 54 \u00e2 \u02c6 \u2019 45 = 9 kmph \u00e2 \u2021 \u2019 \u00e2 \u2021 \u2019 in 11 hour , bus covers 99 km less due to stoppages . hence , time in which the bus stops per hour = time taken to cover 99 km = distancespeed = 954 hour = 16 hour = distancespeed = 954 hour = 16 hour = 606 min = 10 min answer is c\"" + }, + { + "Answer": 14, + "Options": "a ) 10 hours , b ) 12 hours , c ) 8 hours , d ) 5 hours , e ) 14 hours", + "Correct": "e", + "Explanation": "\"work done by the leak in 1 hour = 1 / 7 - 1 / 14 = 1 / 14 the leak will empty the tank in 14 hours answer is e\"" + }, + { + "Answer": 450, + "Options": "a ) 300 km , b ) 320 km , c ) 370 km , d ) 430 km , e ) 450 km", + "Correct": "e", + "Explanation": "sol . speed of bus = 480 / 8 = 60 km / h speed of train = ( 60 * 4 ) / 3 = 80 km / h speed of train : speed of car = 16 : 15 speed of car = 80 / 16 * 15 = 75 km / h distance covered by car in 6 hr = 75 \u00d7 6 = 450 km e" + }, + { + "Answer": 23.99808015358771, + "Options": "a ) 20 , b ) 22 , c ) 24 , d ) 26 , e ) 28", + "Correct": "c", + "Explanation": "\"the speeds are 54000 / 3600 = 15 m / s and 72000 / 3600 = 20 m / s the relative speed is 35 m / s . time = 840 / 35 = 24 seconds the answer is c .\"" + }, + { + "Answer": 36, + "Options": "a ) 36 kmph , b ) 54 kmph , c ) 92 kmph , d ) 86 kmph , e ) 76 kmph", + "Correct": "a", + "Explanation": "\"s = 160 / 16 * 18 / 5 = 36 kmph answer : a\"" + }, + { + "Answer": 180, + "Options": "a ) 160 km , b ) 180 km , c ) 200 km , d ) 220 km , e ) 240 km", + "Correct": "b", + "Explanation": "down stream speed : ( 14 + 4 ) km / hr = 18 km / hr up stream speed : ( 14 - 4 ) km / hr = 10 km / hr ( x / 18 ) + ( x / 2 / 20 ) = 19 x = 180 km answer : b" + }, + { + "Answer": 20.99832013438925, + "Options": "a ) 5 sec , b ) 9 sec , c ) 12 sec , d ) 21 sec , e ) 18 sec", + "Correct": "d", + "Explanation": "\"speed of the train relative to man = ( 68 - 8 ) kmph = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec time taken by the train to cross the man = time taken by it to cover 350 m at 50 / 3 m / sec = 350 * 3 / 50 sec = 21 sec answer : d\"" + }, + { + "Answer": 45, + "Options": "a ) 45 , b ) 48 , c ) 50 , d ) 52 , e ) 54", + "Correct": "a", + "Explanation": "\"the time it takes bob to drive to city b is 180 / 40 = 4.5 hours . alice needs to take less than 4 hours for the trip . alice needs to exceed a constant speed of 180 / 4 = 45 miles per hour . the answer is a .\"" + }, + { + "Answer": 11085.714285714286, + "Options": "a ) 11085.7 , b ) 15085.7 , c ) 35085.7 , d ) 15015.7 , e ) 15083.7", + "Correct": "a", + "Explanation": "2 * 22 / 7 * 2.4 * x = 15085.7 x = 1000 answer : a" + }, + { + "Answer": 10.0008, + "Options": "a ) 10 mps , b ) 76 mps , c ) 26 mps , d ) 97 mps , e ) 16 mps", + "Correct": "a", + "Explanation": "\"36 * 5 / 18 = 10 mps answer : a\"" + }, + { + "Answer": 40, + "Options": "a ) 12 , b ) 14 , c ) 16 , d ) 20 , e ) 40", + "Correct": "e", + "Explanation": "\"explanation : wages of 1 woman for 1 day = 21600 / 40 \u00e3 \u2014 30 wages of 1 man for 1 day = 21600 \u00e3 \u2014 2 / 40 \u00e3 \u2014 30 wages of 1 man for 10 days = 21600 \u00e3 \u2014 2 \u00e3 \u2014 10 / 40 \u00e3 \u2014 30 number of men = 14400 / ( 21600 \u00e3 \u2014 2 \u00e3 \u2014 10 / 40 \u00e3 \u2014 30 ) = 144 / ( 216 \u00e3 \u2014 20 / 40 \u00e3 \u2014 30 ) = 40 answer : option e\"" + }, + { + "Answer": 300, + "Options": "a ) 300 m , b ) 220 m , c ) 280 m , d ) 195 m , e ) 295 m", + "Correct": "a", + "Explanation": "distance travelled = 3000 m time taken by a = 3 m 18 s time taken by b = 3 m 40 sec = 220 sec speed of b = 3000 m / 220 s = 150 / 11 m / s difference between time of a and b = 22 sec when time will be 3 m 18 s a will have travelled 3000 m but b need 22 sec more to finish . distance travelled by b in 22 sec = ( 150 / 11 ) * 22 = 300 m hence , a beat b by 300 m answer : a" + }, + { + "Answer": 28.01126998417358, + "Options": "a ) 84 m , b ) 28 m , c ) 120 m , d ) 137 m , e ) none", + "Correct": "b", + "Explanation": "\"sol . let the length of the wire b h . radius = 1 / 2 mm = 1 / 20 cm . then , 22 / 7 * 1 / 20 * 1 / 20 * h = 22 \u21d4 = [ 22 * 20 * 20 * 7 / 22 ] = 2800 cm = 28 m . answer b\"" + }, + { + "Answer": 37.5, + "Options": "a ) 37.5 miles , b ) 38.5 miles , c ) 39.5 miles , d ) 36.5 miles , e ) 35.5 miles", + "Correct": "a", + "Explanation": "time taken by cyclists to meet = 50 / 20 2.5 hrs distance covered by fly during 2.5 hrs = 15 * 2.5 = 37.5 miles answer : a" + }, + { + "Answer": 15, + "Options": "a ) 15 km , b ) 50 km , c ) 60 km , d ) 85 km , e ) 95 km", + "Correct": "a", + "Explanation": "let x be the time reached with the speed 100 km / h 50 km / h - - - - > x + 15 distance is equal so 100 ( km / h ) \u00d7 xhr = 50 ( km / h ) \u00d7 ( x + 15 ) hr so 100 x = 50 x + 750 so the would be in km and x = 15 answer : a" + }, + { + "Answer": 50, + "Options": "a ) 50 , b ) 75 , c ) 100 , d ) 120 , e ) 25", + "Correct": "a", + "Explanation": "\"speed = 60 * 5 / 18 = 50 / 3 m / sec length of the train = speed * time = 50 / 3 * 3 = 50 m answer : a\"" + }, + { + "Answer": 30, + "Options": "a ) 20 , b ) 40 , c ) 30 , d ) 50 , e ) 60", + "Correct": "c", + "Explanation": "\"avery takes 4 hours tom takes 2 hours efficiency of avery is 1 / 4 units / hr efficiency of tom is 1 / 2 units / hr combined efficiency of tom and avery is 1 / 4 + 1 / 2 = 3 / 4 units / hr since they worked for 1 hour they completed 3 / 4 units of work and 1 / 4 units of work is left which is to be completed by tom ( since avery left ) so time taken by tom to complete the remaining work will be 1 / 4 / 1 / 2 hours = > 1 / 2 * 60 = 30 minutes . . . answer will be ( c )\"" + }, + { + "Answer": 90.0072, + "Options": "a ) 80 m , b ) 100 m , c ) 90 m , d ) 180 m , e ) none", + "Correct": "c", + "Explanation": "solution relative speed = ( 36 + 45 ) km / hr = ( 81 x 5 / 18 ) m / sec = ( 45 / 2 ) m / sec length of the train = ( 45 / 2 x 4 ) m = 90 m . answer c" + }, + { + "Answer": 29.999999999999996, + "Options": "a ) 27 seconds , b ) 29 seconds , c ) 40 seconds , d ) 30 seconds , e ) 12 seconds", + "Correct": "d", + "Explanation": "\"speed = 60 km / hr = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 * ( 3 / 50 ) = 30 seconds answer : d\"" + }, + { + "Answer": 140, + "Options": "a ) 99 , b ) 140 , c ) 26 , d ) 17 , e ) 12", + "Correct": "b", + "Explanation": "\"60 * 14 = 3 * 2 * x = > x = 140 answer : b\"" + }, + { + "Answer": 130.43478260869563, + "Options": "a ) 130.12 , b ) 130.43 , c ) 130.22 , d ) 111.0 , e ) 111.12", + "Correct": "b", + "Explanation": "a runs 1000 m while b runs 920 m and c runs 800 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 800 ) / 920 = 869.56 m b can give c = 1000 - 869.56 = 130.43 m . answer : b" + }, + { + "Answer": 60, + "Options": "a ) 60 , b ) 70 , c ) 80 , d ) 50 , e ) 40", + "Correct": "a", + "Explanation": "\"( m 1 * d 1 * h 1 ) / w 1 = ( m 2 * d 2 * h 2 ) / w 2 ( 100 * 25 * 8 ) / ( 1 / 3 ) = ( ( 100 + a ) * 25 * 10 ) ) / ( 2 / 3 ) 160 = 100 + a a = 60 answer : a\"" + }, + { + "Answer": 612, + "Options": "a ) 252 kms , b ) 152 kms , c ) 612 kms , d ) 752 kms , e ) 152 kms", + "Correct": "c", + "Explanation": "\"explanation : total distance travelled in 12 hours = ( 40 + 42 + 44 + . . . . . upto 12 terms ) this is an a . p with first term , a = 40 , number of terms , n = 12 , d = 2 . required distance = 12 / 2 [ 2 x 40 + { 12 - 1 ) x 2 ] = 6 ( 102 ) = 612 kms . answer : c\"" + }, + { + "Answer": 140, + "Options": "a ) 299 m , b ) 140 m , c ) 200 m , d ) 167 m , e ) 128 m", + "Correct": "b", + "Explanation": "\"2 ( l + 100 ) = 480 = > l = 140 m answer : b\"" + }, + { + "Answer": 90.0072, + "Options": "a ) 40 , b ) 50 , c ) 90 , d ) 30 , e ) 20", + "Correct": "c", + "Explanation": "\"speed of the train = 54 km / hr = ( 54 \u00d7 10 ) / 36 m / s = 15 m / s length of the train = speed \u00d7 time taken to cross the man = 15 \u00d7 10 = 150 m let the length of the platform = l time taken to cross the platform = ( 150 + l ) / 15 = > ( 150 + l ) / 15 = 16 = > 150 + l = 15 \u00d7 16 = 240 = > l = 240 - 150 = 90 meter answer is c\"" + }, + { + "Answer": 44, + "Options": "a ) 76 seconds , b ) 18 seconds , c ) 40 seconds , d ) 19 seconds , e ) 44 seconds", + "Correct": "e", + "Explanation": "\"speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 410 + 140 = 550 meter time = distance / speed = 550 * ( 2 / 25 ) = 44 seconds answer : e\"" + }, + { + "Answer": 40, + "Options": "a ) 36 , b ) 42 , c ) 28 , d ) 54 , e ) 40", + "Correct": "e", + "Explanation": "a \u2019 s one day \u2019 s work = 1 / x b \u2019 s one day \u2019 s work = 1 / 3 x a + b \u2019 s one day \u2019 s work = 1 / x + 1 / 3 x = 1 / 30 = 3 + 1 / 3 x = 4 / 3 x = 1 / 30 x = 30 * 4 / 3 = 40 answer : e" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 12", + "Correct": "a", + "Explanation": "\"let the speed be x . . . so time taken from home to grocery = 200 / x . . the speed to gym = 2 x . . so time taken = 300 / 2 x = 150 / x . . its given 200 / x - 150 / x = 50 . . 50 / x = 50 . . x = 1 m / secs . . so grocery to gym = 2 * 1 = 2 m / s . . . answer : a\"" + }, + { + "Answer": 90, + "Options": "a ) 30 , b ) 20 , c ) 40 , d ) 60 , e ) 90", + "Correct": "e", + "Explanation": "\"let 1 man does 1 unit / hr of work 15 m in 21 days of 8 hrs will do ( 15 * 21 * 8 ) units 3 w = 2 m 1 w = ( 2 / 3 ) units / hr 21 w with 2 hrs a day will take ( 15 * 21 * 8 ) / ( 21 * 2 * ( 2 / 3 ) ) days = > 90 days answer : e\"" + }, + { + "Answer": 34.997200223982084, + "Options": "a ) 54 sec , b ) 35 sec , c ) 25 sec , d ) 45 sec , e ) 24 sec", + "Correct": "b", + "Explanation": "\"d = 100 + 250 = 350 s = 36 * 5 / 18 = 10 mps t = 350 / 10 = 35 sec answer : b\"" + }, + { + "Answer": 12.998960083193344, + "Options": "a ) 18 sec , b ) 70 sec , c ) 13 sec , d ) 20 sec , e ) 19 sec", + "Correct": "c", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 100 + 160 = 260 m . the time required = d / s = 260 / 20 = 13 sec . answer : c\"" + }, + { + "Answer": 5, + "Options": "a ) 4 mins , b ) 6 mins , c ) 5 mins , d ) 3 mins , e ) 7 mins", + "Correct": "c", + "Explanation": "\"let the total capacity of tank be 90 liters . capacity of tank filled in 1 minute by a = 3 liters . capacity of tank filled in 1 minute by b = 15 liters . therefore , capacity of the tank filled by both a and b in 1 minute = 18 liters . hence , time taken by both the pipes to overflow the tank = 90 / 18 = 5 minutes . answer : c\"" + }, + { + "Answer": 80, + "Options": "a ) 11 days , b ) 80 days , c ) 13 days , d ) 15 days , e ) 19 days", + "Correct": "b", + "Explanation": "x = 3 y x + y = 3 y + y = 4 y these 4 y people together can do the work in 20 days , which means y can alone do the work in 4 * 20 = 80 days . answer : b" + }, + { + "Answer": 100, + "Options": "a ) 20 % , b ) 80 % , c ) 100 % , d ) 180 % , e ) 200 %", + "Correct": "c", + "Explanation": "\"let ' s assume just jane 40 bears per 40 / hrs a week , so that is 1 bear / hr . with an assistant she makes 72 bears per 36 hours a week or 2 bears / hr ( [ 40 bears * 1.8 ] / [ 40 hrs * . 90 ] ) . [ ( 2 - 1 ) / 1 ] * 100 % = 100 % answer : c\"" + }, + { + "Answer": 55, + "Options": "a ) 79 kmph , b ) 85 kmph , c ) 55 kmph , d ) 23 kmph , e ) 14 kmph", + "Correct": "c", + "Explanation": "\"s = ( 55 + 60 ) / 2 = 55 kmph answer : c\"" + }, + { + "Answer": 67, + "Options": "a ) 64.67 m , b ) 66.67 m , c ) 68.67 m , d ) 56.67 m , e ) 46.67 m", + "Correct": "b", + "Explanation": "by making a diagram ac represents the hill and de represents the pole given that ac = 100 m anglexad = angleadb = 30 \u00b0 ( \u2235 ax | | bd ) anglexae = angleaec = 60 \u00b0 ( \u2235 ax | | ce ) let de = h then , bc = de = h , ab = ( 100 - h ) ( \u2235 ac = 100 and bc = h ) , bd = ce tan 60 \u00b0 = acce = > 3 \u221a = 100 ce = > ce = 1003 \u221a - - - ( 1 ) tan 30 \u00b0 = abbd = > 13 \u221a = 100 \u2212 hbd = > 13 \u221a = 100 \u2212 h ( 1003 \u221a ) ( \u2235 bd = ce and substituted the value of ce from equation 1 ) = > ( 100 \u2212 h ) = 13 \u221a \u00d7 1003 \u221a = 1003 = 33.33 = > h = 100 \u2212 33.33 = 66.67 m i . e . , the height of the pole = 66.67 m answer : b" + }, + { + "Answer": 432, + "Options": "a ) 432 miles , b ) 651 miles , c ) 387 miles , d ) 954 miles , e ) 556 miles", + "Correct": "a", + "Explanation": "\"the number of miles to drive to finish his journey is given by 1200 - 768 = 432 miles correct answer a\"" + }, + { + "Answer": 45, + "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 45 % , e ) 72 %", + "Correct": "d", + "Explanation": "answer : d 162 \u00b0 divided by 360 \u00b0 equals 0.45 , therefore the sector is equal to 45 % of the total" + }, + { + "Answer": 18.307692307692307, + "Options": "a ) 14.83 , b ) 14.81 , c ) 14.8 , d ) 14.82 , e ) 18.3", + "Correct": "e", + "Explanation": "\"explanation : since 312 inch = 136 km so 1 inch = 136 / 312 km so 42 inch = ( 136 \u00e3 \u2014 42 ) / 312 = 18.3 km answer : e\"" + }, + { + "Answer": 10.5, + "Options": "a ) 2 , b ) 8 , c ) 9 , d ) 10 , e ) 10.5", + "Correct": "e", + "Explanation": "\"45 - - - 3 ds = 15 ? - - - - 1 18 - - - - 3 us = 6 ? - - - - 1 m = ? m = ( 15 + 6 ) / 2 = 10.5 answer : e\"" + }, + { + "Answer": 6, + "Options": "a ) 4 , b ) 3 , c ) 5 , d ) 6 , e ) 9", + "Correct": "d", + "Explanation": "\"d = 25 * 60 + 4500 = 6000 m t = 6000 / 60 * 18 / 5 = 360 sec = 6 mins answer : d\"" + }, + { + "Answer": 4, + "Options": "a ) 5 kmph , b ) 6 kmph , c ) 7 kmph , d ) 4 kmph , e ) 10 kmph", + "Correct": "d", + "Explanation": "\"x = the speed of the stream ( 12 + x ) / ( 12 - x ) = 2 / 1 12 + x = 24 - 2 x 3 x = 12 x = 4 km / hour if the speed of the stream is 4 km / hour , then the ' downstream ' speed of the boat is 12 + 4 = 16 km / hour and the ' upstream ' speed of the boat is 12 - 4 = 8 km / hour . in that way , if the boat traveled for 2 hours , it would travel 2 x 8 = 16 km downstream and 2 x 16 = 32 km / hour upstream . answer : d\"" + }, + { + "Answer": 0.5, + "Options": "a ) 1 / 3 , b ) 1 / 2 , c ) 1 / 4 , d ) 1 / 5 , e ) 2 / 5", + "Correct": "b", + "Explanation": "combination formula : ncr = n ! / ( r ! ( n - r ) ! ) , where n is the population / set , and r is the sample / subset . total number possible = 4 c 3 - 4 ! / ( 3 ! ( 4 - 3 ) ! ) = 4 number yo - yo possible = 1 c 1 = 1 number ball possible = 1 c 1 = 1 number other possible = 2 c 1 = 2 probability formula : p ( a ) = ( number favorable outcomes ) / ( total number possible outcomes ) p ( yb ) = ( 1 c 1 ) ( 1 c 1 ) ( 2 c 1 ) / 4 c 3 = 2 / 4 = 1 / 2 answer : b" + }, + { + "Answer": 500, + "Options": "a ) 400 , b ) 500 , c ) 600 , d ) 700 , e ) 800", + "Correct": "b", + "Explanation": "\"total pay = 40 * $ 12.50 + $ 0.16 * x = 580 x = 80 / 0.16 = 500 the answer is b .\"" + }, + { + "Answer": 2.61269421026963, + "Options": "a ) 5 seconds , b ) 4.5 seconds , c ) 3 seconds , d ) 2.6 seconds , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : first convert speed into m / sec speed = 124 * ( 5 / 18 ) = 34 m / sec time = distance / speed = 90 / 34 = 2.6 seconds option d\"" + }, + { + "Answer": 75.6, + "Options": "a ) 88 kmph , b ) 89 kmph , c ) 76 kmph , d ) 16 kmph , e ) 18 kmph", + "Correct": "c", + "Explanation": "length = speed * time speed = l / t s = 441 / 21 s = 21 m / sec speed = 20 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 76 kmph answer : c" + }, + { + "Answer": 100, + "Options": "a ) 70 m , b ) 60 m , c ) 100 m , d ) 65 m , e ) 75 m", + "Correct": "c", + "Explanation": "\"speed of a : speed of b = 4 : 1 means in a race of 4 m a gains 3 m . then in a race of 75 m he gains 75 * ( 4 / 3 ) i . e 100 m answer : c\"" + }, + { + "Answer": 120, + "Options": "a ) 90 , b ) 100 , c ) 110 , d ) 120 , e ) 130", + "Correct": "d", + "Explanation": "\"the projectiles travel a total of 999 km per hour . the time to meet is 1998 / 999 = 2 hours = 120 minutes the answer is d .\"" + }, + { + "Answer": 226.5625, + "Options": "a ) 175 seconds , b ) 195 seconds , c ) 155 seconds , d ) 227 seconds , e ) 115 seconds", + "Correct": "d", + "Explanation": "\"explanation : let the time required by x seconds . then , more cloth means more time ( direct proportion ) so , 0.128 : 1 : : 29 : x = > x = { \\ color { blue } \\ frac { 29 \\ times 1 } { 0.128 } } = > x = 226.56 so time will be approx 227 seconds answer : d\"" + }, + { + "Answer": 0.3333333333333333, + "Options": "a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 5 , e ) 3 / 10", + "Correct": "b", + "Explanation": "8 / 16 * 2 / 3 = 1 / 3 the answer is b ." + }, + { + "Answer": 560, + "Options": "a ) 280 , b ) 320 , c ) 360 , d ) 420 , e ) 560", + "Correct": "e", + "Explanation": "\"easy 560 is the answer . 3 / 4 ( x / 2 ) = 210 x = 210 * 8 / 3 = 560 . answer e\"" + }, + { + "Answer": 18, + "Options": "a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", + "Correct": "d", + "Explanation": "\"length = speed * time speed = l / t s = 1000 / 200 s = 5 m / sec speed = 5 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 18 kmph answer : d\"" + }, + { + "Answer": 240.04160000000002, + "Options": "a ) 230 m , b ) 240 m , c ) 260 m , d ) 270 m , e ) 250 m", + "Correct": "b", + "Explanation": "\"s = 280 + x / t 72 * 5 / 18 = 280 + x / 26 x = 240 answer : b\"" + }, + { + "Answer": 4, + "Options": "a ) 3.5 , b ) 3 , c ) 5 , d ) 4 , e ) 8", + "Correct": "d", + "Explanation": "\"125 - - - 10 ds = 130 ? - - - - 1 75 - - - - 15 us = 5 ? - - - - - 1 s = ( 13 - 5 ) / 2 = 4 kmph . answer : d\"" + }, + { + "Answer": 50, + "Options": "a ) 20 m , b ) 60 m , c ) 40 m , d ) 50 m , e ) 90 m", + "Correct": "d", + "Explanation": "1 / 2 * d ( 12 + 8 ) = 500 d = 50 answer : d" + }, + { + "Answer": 24, + "Options": "a ) 10 , b ) 12 , c ) 24 , d ) 29 , e ) 30", + "Correct": "c", + "Explanation": "\"work done by x in 10 days = 10 * 1 / 20 = 1 / 2 remaining work = 1 - 1 / 2 = 1 / 2 1 / 2 work is done by y in 12 days whole work will be done by y in 12 * 2 = 24 days answer is c\"" + }, + { + "Answer": 31, + "Options": "a ) 31 , b ) 92 , c ) 30 , d ) 32 , e ) 23", + "Correct": "a", + "Explanation": "\"us = 27 ds = 35 m = ( 35 + 27 ) / 2 = 31 answer : a\"" + }, + { + "Answer": 12, + "Options": "a ) 16 days , b ) 12 days , c ) 8 days , d ) 6 days , e ) 18 days", + "Correct": "b", + "Explanation": "\"number of days taken by ram to complete task = 36 since ram is half as efficient as krish , amount of work done by krish in 1 day = amount of work done by ram in 2 days if total work done by ram in 36 days is 36 w amount of work done by ram in 1 day = w amount of work done by krish in 1 day = 2 w total amount of work done by krish and ram in a day = 3 w total amount of time needed by krish and ram to complete task = 36 w / 3 w = 12 days answer b\"" + }, + { + "Answer": 3, + "Options": "a ) 5 min , b ) 2 min , c ) 3 min , d ) 1 min , e ) 10 min", + "Correct": "c", + "Explanation": "\"full cistern filled in = 33 minutes 1 / 11 part filled in = 33 * 1 / 11 = 3 minutes answer is c\"" + }, + { + "Answer": 45, + "Options": "a ) 45 , b ) 12 , c ) 15 , d ) 18 , e ) 20", + "Correct": "a", + "Explanation": "work done by x in 8 days = 8 * 1 / 40 = 1 / 5 remaining work = 1 - 1 / 5 = 4 / 5 4 / 5 work is done by y in 36 days whole work will be done by y in 36 * 5 / 4 = 45 days answer is a" + }, + { + "Answer": 120, + "Options": "a ) 90 kms . , b ) 100 kms . , c ) 110 kms . , d ) 120 kms . , e ) 130 kms .", + "Correct": "d", + "Explanation": "it will depend on the distance between b and r . if distance between b and r is 120 kms , time taken by trains before collision = 120 / ( 60 + 60 ) = 1 hr distance traveled by bird in 1 hr = 120 kms . so the distance traveled by the bird before it is killed = 120 kms . answer : d" + }, + { + "Answer": 200, + "Options": "a ) 200 m , b ) 20 m , c ) 403 m , d ) 20 m , e ) 23 m", + "Correct": "a", + "Explanation": "to reach the winning post a will have to cover a distance of ( 600 - 100 ) m , i . e . , 500 m . while a covers 5 m , b covers 4 m . while a covers 500 m , b covers 4 x 500 / 5 m = 400 m . thus , when a reaches the winning post , b covers 400 m and therefore remains 200 m behind . a wins by 200 m . answer : a" + }, + { + "Answer": 5, + "Options": "a ) 6 , b ) 5 , c ) 4 , d ) 10 , e ) 8", + "Correct": "b", + "Explanation": "speed = length / time length = ( 200 + 100 ) = 300 m time = 60 sec speed = 300 / 60 = 5 m / sec answer b" + }, + { + "Answer": 5, + "Options": "a ) 1 km , b ) 3 km , c ) 4 km , d ) 5 km , e ) 6 km", + "Correct": "d", + "Explanation": "\"distance = 10 * 20 / 60 = 5 km answer is d\"" + }, + { + "Answer": 3.428571428571429, + "Options": "a ) 20 / 9 , b ) 40 / 9 , c ) 50 / 9 , d ) 24 / 7 , e ) 80 / 9", + "Correct": "d", + "Explanation": "\"one day work of a = 1 / 8 one day work of b = 1 / 6 so one day work of a and b together = 1 / 8 + 1 / 6 = 7 / 24 so total days required = 24 / 7 answer : d\"" + }, + { + "Answer": 567.6, + "Options": "a ) 278.4 mtrs , b ) 378.4 mtrs , c ) 478.4 mtrs , d ) 488.4 mtrs , e ) 567.6 mtrs", + "Correct": "e", + "Explanation": "\"if 20 men can build a wall 66 metres long in 4 days , length of a similar wall that can be built by 86 men in 8 days = ( 66 * 86 * 8 ) / ( 4 * 20 ) = 567.6 mtrs answer : e\"" + }, + { + "Answer": 500, + "Options": "a ) 440 m , b ) 500 m , c ) 260 m , d ) 430 m , e ) 450 m", + "Correct": "b", + "Explanation": "\"explanation : distance = 800 + x meter where x is the length of the tunnel time = 1 minute = 60 seconds speed = 78 km / hr = 78 \u00d7 10 / 36 m / s = 130 / 6 = 65 / 3 m / s distance / time = speed ( 800 + x ) / 60 = 65 / 3 = > 800 + x = 20 \u00d7 65 = 1300 = > x = 1300 - 800 = 500 meter answer : option b\"" + }, + { + "Answer": 87.5, + "Options": "a ) rs . 55.50 , b ) rs . 67.50 , c ) rs . 86.50 , d ) rs . 87.50 , e ) none of these", + "Correct": "d", + "Explanation": "\"solution let length = ( 3 x ) metres and breadth = ( 4 x ) metres . then , 3 x \u00d7 4 x = 7500 \u21d4 12 x 2 = 7500 \u21d4 x 2 = 625 \u21d4 x = 25 . so , length = 75 m and breadth = 100 m . perimeter = [ 2 ( 75 + 100 ) ] m = 350 m . \u2234 cost of fencing = rs . ( 0.25 \u00d7 350 ) = rs . 87.50 . answer d\"" + }, + { + "Answer": 17.998560115190788, + "Options": "a ) 5 sec , b ) 9 sec , c ) 12 sec , d ) 18 sec , e ) 15 sec", + "Correct": "d", + "Explanation": "\"answer : d . speed of the train relative to man = ( 58 - 8 ) kmph = ( 50 * 5 / 18 ) m / sec = ( 125 / 9 ) m / sec time taken by the train to cross the man = time taken by it to cover 250 m at 125 / 9 m / sec = 250 * 9 / 125 sec = 18 sec\"" + }, + { + "Answer": 180, + "Options": "a ) 145 , b ) 150 , c ) 175 , d ) 180 , e ) 130", + "Correct": "d", + "Explanation": "1 hr = 20 percent . thus 15 min = 5 percent . now to charge 60 percent 180 min . answer : d" + }, + { + "Answer": 14.999999999999996, + "Options": "a ) 5 days , b ) 15 days , c ) 12 days , d ) 9 days , e ) 10 days", + "Correct": "b", + "Explanation": "\"explanation : a \u2019 s 5 day work = 5 * 1 / 15 = 1 / 3 remaining work = 1 - 1 / 3 = 2 / 3 b completes 2 / 3 work in 6 days b alone can do in x days 2 / 3 * x = 10 x = 15 days answer : option b\"" + }, + { + "Answer": 125, + "Options": "a ) 100 km , b ) 95 km , c ) 135 km , d ) 80 km , e ) 125 km", + "Correct": "e", + "Explanation": "speed = 25 km / hr time = 5 hr distance = 25 * 5 = 125 km answer is e" + }, + { + "Answer": 114.99040076793858, + "Options": "a ) 85 kmph , b ) 115 kmph , c ) 105 kmph , d ) 95 kmph , e ) 125 kmph", + "Correct": "b", + "Explanation": "\"let the speed of the train be x kmph speed of the train relative to man = x + 5 = ( x + 5 ) * 5 / 18 m / sec 200 / [ ( x + 5 ) * 5 / 18 ] = 6 30 ( x + 5 ) = 3600 x = 115 kmph answer is b\"" + }, + { + "Answer": 91.77142857142857, + "Options": "a ) 754 m , b ) 704 m , c ) 90.524 m , d ) 706 m , e ) 91.688 m", + "Correct": "e", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 100 resolutions . = 100 * 2 * 22 / 7 * 14.6 = 9168.8 cm = 91.688 m answer : e\"" + }, + { + "Answer": 0.5714285714285714, + "Options": "a ) 4 / 7 , b ) 3 / 10 , c ) 3 / 18 , d ) 13 / 16 , e ) 4 / 11", + "Correct": "a", + "Explanation": "\"3 m + 8 w = 6 m + 2 w 3 m = 6 w 1 m = 2 w therefore 3 m + 8 w = 14 w 3 m + 2 w = 8 w answer is 8 / 14 = 4 / 7 answer : a\"" + }, + { + "Answer": 35, + "Options": "a ) 10 , b ) 12 , c ) 15 , d ) 18 , e ) 35", + "Correct": "e", + "Explanation": "\"work done by x in 8 days = 8 * 1 / 40 = 1 / 5 remaining work = 1 - 1 / 5 = 4 / 5 4 / 5 work is done by y in 28 days whole work will be done by y in 28 * 5 / 4 = 35 days answer is e\"" + }, + { + "Answer": 10, + "Options": "a ) 9 , b ) 10 , c ) 12 , d ) 20 , e ) 22", + "Correct": "b", + "Explanation": "\"due to stoppages , it covers 9 km less . time taken to cover 9 km = ( 9 / 54 x 60 ) min = 10 min . answer : b\"" + }, + { + "Answer": 52, + "Options": "a ) 45 minutes , b ) 50 minutes , c ) 40 minutes , d ) 55 minutes , e ) 52 minutes", + "Correct": "e", + "Explanation": "\"as they arrived 16 minutes earlier than usual , they saved 16 minutes on round trip from home to station ( home - station - home ) - - > 8 minutes in each direction ( home - station ) - - > wife meets husband 8 minutes earlier the usual meeting time - - > husband arrived an hour earlier the usual meeting time , so he must have spent waking the rest of the time before their meeting , which is hour - 8 minutes = 52 minutes . answer : e\"" + }, + { + "Answer": 308.66141732283467, + "Options": "a ) 174.2 , b ) 212 , c ) 288.1 , d ) 296 , e ) 308", + "Correct": "e", + "Explanation": "\"1.5 inch = 2.54 * 1.5 cm . so , 2.54 * 1.5 represents 24 miles . so for 49 cm . : 49 / ( 2.54 * 1.5 ) = x / 24 - - - > x = 24 * 49 / ( 3.81 ) = 308 answer will be e .\"" + }, + { + "Answer": 9, + "Options": "a ) 10 , b ) 8 , c ) 7 , d ) 9 , e ) 11", + "Correct": "d", + "Explanation": "explanation : three painters can complete three rooms in three hours . so 27 rooms can be painted in 9 hrs by 9 painters answer : d ) 9 painters" + }, + { + "Answer": 2.2222222222222223, + "Options": "a ) 1.8 , b ) 2.0 , c ) 2.2 , d ) 2.4 , e ) 2.6", + "Correct": "c", + "Explanation": "\"the workers fill the truck at a rate of 1 / 5 + 1 / 4 = 9 / 20 of the truck per hour . then the time to fill one truck is 20 / 9 which is about 2.2 hours . the answer is c .\"" + }, + { + "Answer": 5.000000000000001, + "Options": "a ) 4 days , b ) 5 days , c ) 6 days , d ) 7 days , e ) 8 days", + "Correct": "b", + "Explanation": "\"1 m + 3 w - - - - - 35 h 4 m + 4 w - - - - - - - 21 h 7 m - - - - - - - ? d 35 m + 105 w = 84 m + 84 m 21 w = 49 m 4 * 35 = 7 * x = > x = 20 hours 20 / 4 = 5 days answer : b\"" + }, + { + "Answer": 40, + "Options": "a ) 20 , b ) 34 , c ) 38 , d ) 40 , e ) 46", + "Correct": "d", + "Explanation": "we have that x / 24 - ( 60 - x ) / 2 r = 40 also x / r - ( 60 - x ) / 2 r = 120 so we get that 2 x - 60 = 80 r 3 x - 60 = 240 r get rid of r 120 = 3 x x = 40 hence answer is d" + }, + { + "Answer": 150, + "Options": "a ) 150 , b ) 450 , c ) 750 , d ) 800 , e ) none of them", + "Correct": "a", + "Explanation": "\"c ' s 1 day ' s work = 1 / 3 - ( 1 / 6 + 1 / 8 ) = 24 a : b : c = ratio of their 1 day ' s work = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 . a \u2019 s share = rs . ( 1200 * 4 / 8 ) = rs . 600 , b ' s share = rs . ( 1200 * 3 / 8 ) = rs . 450 c ' s share = rs . [ 1200 - ( 300 + 225 \u00bb ) = rs . 150 . answer is a\"" + }, + { + "Answer": 336, + "Options": "a ) 288 cm 2 , b ) 277 cm 2 , c ) 285 cm 2 , d ) 336 cm 2 , e ) 340 cm 2", + "Correct": "d", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 30 + 12 ) * ( 16 ) = 336 cm 2 answer : d\"" + }, + { + "Answer": 35, + "Options": "a ) 600 , b ) 800 , c ) 1000 , d ) 360 , e ) 1500", + "Correct": "d", + "Explanation": "answer : d ." + }, + { + "Answer": 35, + "Options": "a ) 35 , b ) 55 , c ) 39 , d ) 40 , e ) 60", + "Correct": "a", + "Explanation": "carla starts 30 minutes later and it takes 3 hr for carla to meet john so john total time travelled = 3 hr + 30 minutes john distance = 30 * ( 3 1 / 2 ) = 105 so carla need to travle 105 to meet john in 3 hrs speed of carla = 105 / 3 = 35 miles per hour answer is a" + }, + { + "Answer": 1.5, + "Options": "a ) 1.2 hr , b ) 2.5 hr , c ) 1.5 hr , d ) 48 min , e ) 58 min", + "Correct": "c", + "Explanation": "distance = speed * time 8 * 3 = 24 km new speed = 16 kmph therefore time = d / s = 24 / 16 = 1.5 hr . answer : c ." + }, + { + "Answer": 18, + "Options": "a ) q = 12 , b ) q = 15 , c ) q = 17 , d ) q . 18 , e ) q = 20", + "Correct": "d", + "Explanation": "\"since we are concerned with integers between 1 and 20 , write down the primes till 40 . 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 ( you should be very comfortable with the first few primes . . . ) 2 , 3 , 5 , 7 , 11,12 , 13 , 17 , 19 , 23 , 29 , 31 , 37 - three pairs ( 11,13 ) , ( 7,17 ) , ( 5 , 19 ) 2 , 3 , 5 , 7 , 11 , 13 , 15,17 , 19 , 23 , 29 , 31 , 37 - three pairs ( 13 , 17 ) , ( 11 , 19 ) , ( 7 , 23 ) 2 , 3 , 5 , 7 , 11 , 13,17 , 19 , 23 , 29 , 31 , 37 - three pairs ( 11 , 23 ) , ( 5 , 29 ) , ( 3 , 31 ) 2 , 3 , 5 , 7 , 11 , 13 , 17 , 18,19 , 23 , 29 , 31 , 37 - four pairs ( 17 , 19 ) , ( 13 , 23 ) , ( 7 , 29 ) , ( 5 , 31 ) 2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 20,23 , 29 , 31 , 37 - definitely can not be more than 4 since there are only 4 primes more than 20 . so must be less than 4 pairs . ignore . answer ( d ) .\"" + }, + { + "Answer": 230, + "Options": "a ) 200 sec , b ) 230 sec , c ) 167 sec , d ) 197 sec , e ) 179 sec", + "Correct": "b", + "Explanation": "\"l = s * t s = 1200 / 120 s = 10 m / sec . total length ( d ) = 2300 m t = d / s t = 2300 / 10 t = 230 sec answer : b\"" + }, + { + "Answer": 16, + "Options": "a ) 38 metre , b ) 28 metre , c ) 23 metre , d ) 16 metre , e ) 28 metre", + "Correct": "d", + "Explanation": "clearly , a beats b by 4 seconds now find out how much b will run in these 4 seconds speed of b = distance / time taken by b = 128 / 32 = 4 m / s distance covered by b in 4 seconds = speed \u00e3 \u2014 time = 4 \u00e3 \u2014 4 = 16 metre i . e . , a beat b by 16 metre answer is d" + }, + { + "Answer": 24, + "Options": "a ) 36 , b ) 2 ^ 4 * 3 , c ) 24 , d ) 38 , e ) 47", + "Correct": "c", + "Explanation": "\"so 24 days answer c = 24\"" + }, + { + "Answer": 155, + "Options": "a ) 287 , b ) 1287 , c ) 125 , d ) 155 , e ) 271", + "Correct": "d", + "Explanation": "\"3 x * 2 x = 5766 = > x = 31 2 ( 93 + 62 ) = 310 m 310 * 1 / 2 = rs . 155 answer : d\"" + }, + { + "Answer": 8, + "Options": "a ) 7 , b ) 6 , c ) 5 , d ) 8 , e ) 3", + "Correct": "d", + "Explanation": "\"let the required number days be x . less spiders , more days ( indirect proportion ) less webs , less days ( direct proportion ) spiders 1 : 8 webs 8 : 1 1 x 8 x x = 8 x 1 x 8 = > x = 8 answer is d\"" + }, + { + "Answer": 28, + "Options": "a ) 65 , b ) 38 , c ) 20 , d ) 28 , e ) 21", + "Correct": "d", + "Explanation": "answer : d ) 28 km" + }, + { + "Answer": 180, + "Options": "a ) 200 km , b ) 180 km , c ) 160 km , d ) 220 km , e ) none of these", + "Correct": "b", + "Explanation": "\"speed of boat for downstream = 14 + 4 = 18 km / hr speed of boat for upstream = 14 \u2013 4 = 10 km / hr distance = x x / 18 + ( x / 2 ) / 10 = 19 x = 180 km answer : b\"" + }, + { + "Answer": 285, + "Options": "a ) 288 , b ) 276 , c ) 285 , d ) 299 , e ) 261", + "Correct": "c", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 15 ) = 285 cm 2 answer : c\"" + }, + { + "Answer": 42, + "Options": "a ) 30 , b ) 42 , c ) 60 , d ) data inadequate , e ) none of these", + "Correct": "b", + "Explanation": "\"capacity of the tank = 28 \u00e3 \u2014 13.5 = 378 litres when the capacity of each bucket = 9 litres , then the required no . of buckets = 378 \u00e2 \u0081 \u201e 9 = 42 answer b\"" + }, + { + "Answer": 3.0000000000000004, + "Options": "a ) 3 , b ) 2 , c ) 8 , d ) 4 , e ) 6", + "Correct": "a", + "Explanation": "\"1 . we need to find out the time taken by 24 workers after day 1 . 2 . total no . of wokers * total time taken = time taken by 1 worker 3 . time taken by 1 worker = 36 * 3 = 108 days 4 . but on day 1 thirty - six workers had already worked finishing 1 / 3 of the job . so 24 workers have to finish only 2 / 3 of the job . 5 . total time taken by 24 workers can be got from formula used at ( 2 ) . i . e . , 24 * total time taken = 108 . total time taken by 6 workers to finish the complete job is 108 / 24 = 4.5 days . 6 . time taken by 24 workers to finish 2 / 3 of the job is 2 / 3 * 4.5 = 3 days . the answer is choice a\"" + }, + { + "Answer": 36, + "Options": "a ) 35 , b ) 36 , c ) 40 , d ) 42 , e ) 44", + "Correct": "b", + "Explanation": "\"explanation : let the number of correct answers be x . number of incorrect answers = ( 60 \u2013 x ) . 4 x \u2013 ( 60 \u2013 x ) = 120 = > 5 x = 180 = > x = 36 answer : b\"" + }, + { + "Answer": 30, + "Options": "a ) 15 , b ) 20 , c ) 25 , d ) 28 , e ) 30", + "Correct": "e", + "Explanation": "\"30 workers working already let x be the total men required to finish the task in next 10 days 2 km done hence remaining is 8 km also , work has to be completed in next 10 days ( 15 - 10 = 5 ) we know that , proportion of men to distance is direct proportion and , proportion of men to days is inverse proportion hence , x = ( 30 * 8 * 5 ) / ( 2 * 10 ) thus , x = 60 thus , more men needed to finish the task = 60 - 30 = 30 answer : e\"" + }, + { + "Answer": 14.998800095992321, + "Options": "a ) 11.00 sec , b ) 12.50 sec , c ) 15.00 sec , d ) 15.23 sec , e ) 5.23 sec", + "Correct": "c", + "Explanation": "explanation : given : length of train = 100 m , speed of train = 60 km / hr , length of platform = 150 m 1 ) always remember first step is the conversion of units . convert 60 km / hr into m / s by multiplying it with ( 5 / 18 ) speed of the train = 60 x 5 / 18 = 16.66 m / s 2 ) distance covered by the train in passing the platform = ( length of train + length of platform ) = ( 100 + 150 ) = 250 m therefore , the time taken = distance / speed = 250 / 16.66 = 15 sec answer is c" + }, + { + "Answer": 180, + "Options": "a ) 180 , b ) 176 , c ) 175 , d ) 96 , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : let the length of train be l m . acc . to question ( 270 + l ) / 20 = l / 8 2160 + 8 l = 20 l l = 2160 / 12 = 180 m answer a\"" + }, + { + "Answer": 3780, + "Options": "a ) 1600 , b ) 2490 , c ) 3780 , d ) 4235 , e ) 6179", + "Correct": "c", + "Explanation": "\"let x be the number of days in the initial plan . therefore , the whole field is 90 \u00e2 \u2039 \u2026 x hectares . the farmer had to work for x + 2 days , and he ploughed 85 ( x + 2 ) hectares , leaving 40 hectares unploughed . then we have the equation : 90 x = 85 ( x + 2 ) + 40 5 x = 210 x = 42 so the farmer planned to have the work done in 6 days , and the area of the farm field is 90 ( 42 ) = 3780 hectares correct answer c\"" + }, + { + "Answer": 4, + "Options": "a ) 4 m , b ) 4.5 m , c ) 5 m , d ) 6 m , e ) none", + "Correct": "a", + "Explanation": "solution let the width of the wall be x metres . then , height = ( 6 x ) m and length = ( 42 x ) m . 42 x \u00d7 x \u00d7 6 x = 16128 x 3 \u2039 = \u203a ( 16128 / 42 \u00d7 6 ) = 64 \u2039 = \u203a x = 4 . answer a" + }, + { + "Answer": 24.000000000000007, + "Options": "a ) 20 hours , b ) 24 hours , c ) 26 hours , d ) 18 hours , e ) none of these", + "Correct": "b", + "Explanation": "\u2235 cistern fill in 6 hours . \u2234 in 1 hour , filled part = 1 \u2044 6 th now , due to leakage , filled part in 1 hour = 1 \u2044 8 th part of the cistern emptied , due to leakage in 1 hour = 1 \u2044 6 - 1 \u2044 8 = 1 \u2044 24 th \u2234 the leakage will empty the full cistern in 24 hrs . answer b" + }, + { + "Answer": 240, + "Options": "a ) 235 miles . , b ) 245 miles . , c ) 240 miles . , d ) 265 miles . , e ) 275 miles .", + "Correct": "c", + "Explanation": "the total distance d traveled by john is given by d = 45 * 2 + 3 * 50 = 240 miles . answer c" + }, + { + "Answer": 20, + "Options": "a ) 16 , b ) 20 , c ) 24 , d ) 28 , e ) 32", + "Correct": "b", + "Explanation": "\"the height : length ratio will be equal in both cases . 18 / 45 = x / 50 x = 20 the answer is b .\"" + }, + { + "Answer": 65, + "Options": "a ) 65 , b ) 30 , c ) 28 , d ) 24 , e ) 32", + "Correct": "a", + "Explanation": "\"number of workers = 10 * ( 75 - 10 ) / 10 = 65 answer is a\"" + }, + { + "Answer": 60, + "Options": "a ) 70 , b ) 20 , c ) 50 , d ) 60 , e ) 30", + "Correct": "d", + "Explanation": "avery takes 2 hours tom takes 4 hours efficiency of avery is 1 / 2 units / hr efficiency of tom is 1 / 4 units / hr combined efficiency of tom and avery is 1 / 2 + 1 / 4 = 3 / 4 units / hr since they worked for 1 hour they completed 3 / 4 units of work and 1 / 4 units of work is left which is to be completed by tom ( since avery left ) so time taken by tom to complete the remaining work will be 1 / 4 / 1 / 4 hours = > 1 * 60 = 60 minutes . . . answer will be ( d )" + }, + { + "Answer": 90, + "Options": "a ) 72 kmph , b ) 75 kmph , c ) 30 kmph , d ) 90 kmph , e ) 82 kmph", + "Correct": "d", + "Explanation": "\"s = ( 140 + 40 ) / 2 = 90 kmph answer : d\"" + }, + { + "Answer": 84, + "Options": "a ) 39 , b ) 84 , c ) 80 , d ) 82 , e ) 86", + "Correct": "b", + "Explanation": "capacity of the tank = ( 12 \u00e3 \u2014 49 ) litre number of buckets required of capacity of each bucket is 17 litre = 12 \u00e3 \u2014 49 / 7 = 12 \u00e3 \u2014 7 = 84 answer is b" + }, + { + "Answer": 375, + "Options": "a ) 338 m , b ) 778 m , c ) 375 m , d ) 276 m , e ) 971 m", + "Correct": "c", + "Explanation": "\"2 ( l + 100 ) = 950 = > l = 375 m answer : c\"" + }, + { + "Answer": 30, + "Options": "a ) 12 , b ) 18 , c ) 20 , d ) 24 , e ) 30", + "Correct": "e", + "Explanation": "\"if it takes 4 more minutes for a to print 40 pages than it takes b , it takes 5 more minutes for a to print 50 pages than it takes b . thus if b is the number of minutes than b takes to print 50 pages , we can write : 1 / b + 1 / ( b + 5 ) = 1 / 6 ( since in 1 minute , they print 1 / 6 th of the 50 page job ) 6 ( 2 b + 5 ) = b ( b + 5 ) b ^ 2 - 7 b - 30 = 0 ( b - 10 ) ( b + 3 ) = 0 b = 10 thus it takes a 15 minutes to print 50 pages and 15 * 100 / 50 = 30 minutes to print 100 pages ( answer e )\"" + }, + { + "Answer": 84, + "Options": "a ) 84 , b ) 72 , c ) 120 , d ) 144 , e ) 180", + "Correct": "a", + "Explanation": "old machine 100 bolts in 60 mins so , 5 / 3 bolts in 1 min new machine 150 bolts in 60 mins so , 5 / 2 bolts in 1 min together , 5 / 3 + 5 / 2 = 25 / 6 bolts in 1 min so , for 350 bolts 350 * 6 / 25 = 84 mins ans a" + }, + { + "Answer": 8640, + "Options": "a ) 7580 , b ) 7960 , c ) 8290 , d ) 8640 , e ) none", + "Correct": "d", + "Explanation": "\"solution work done by the inlet in 1 hour = ( 1 / 8 - 1 / 12 ) = 1 / 24 . work done by the inlet in 1 min . = ( 1 / 24 \u00d7 1 / 60 ) = 1 / 1440 . volume of 1 / 1440 part = 6 litres . therefore , volume of whole = ( 1440 \u00d7 6 ) \u2039 = \u203a 8640 litres . answer d\"" + }, + { + "Answer": 8760, + "Options": "a ) 365 , b ) 52 , c ) 1024 , d ) 8760 , e ) no one knows", + "Correct": "d", + "Explanation": "the day has 24 hours , and the year contains 365 days . so the hours exist in one year is the multiplication of 24 by 365 . so the answer = 365 * 24 = 8760 hours so the correct answer is d" + }, + { + "Answer": 13.75, + "Options": "a ) 13.78 , b ) 13.67 , c ) 13.75 , d ) 13.98 , e ) 13.28", + "Correct": "c", + "Explanation": "\"( 5 * 5.5 ) / 2 = 13.75 answer : c\"" + }, + { + "Answer": 525, + "Options": "a ) 600 , b ) 525 , c ) 360 , d ) 370 , e ) 380", + "Correct": "b", + "Explanation": "\"speed = 450 / 18 = 25 m / sec . let the length of the platform be x meters . then , ( x + 450 ) / 39 = 25 = > x = 975 m . l = 975 - 450 = 525 answer : option b\"" + }, + { + "Answer": 5, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 5", + "Correct": "e", + "Explanation": "\"51 trees have 50 gaps between them , required distance ( 250 / 50 ) = 15 e\"" + }, + { + "Answer": 2, + "Options": "a ) 8 / 3 , b ) 2 / 1 , c ) 8 / 5 , d ) 5 / 8 , e ) 5 / 3", + "Correct": "b", + "Explanation": "\"distance traveled by eddy = 600 km time taken by eddy = 3 hours average speed of eddy = 450 / 3 = 150 km / hour distance traveled by freddy = 300 km time taken by freddy = 4 hours average speed of freddy = 300 / 4 = 75 km / hour ratio of average speed of eddy to freddy = 150 / 75 = 2 / 1 answer b\"" + }, + { + "Answer": 30, + "Options": "a ) 35 mins , b ) 30 mins , c ) 40 mins , d ) 32 mins , e ) 36 mins", + "Correct": "b", + "Explanation": "the last 15 minutes only pipe x was open . since it needs 1 hour to fill the tank , then in 15 minutes it fills 1 / 4 th of the tank , thus 3 / 4 of the tank is filled with both pipes open . the combined rate of two pipes is 1 + 2 = 3 tanks / hour , therefore to fill 3 / 4 th of the tank they need ( time ) = ( work ) / ( rate ) = ( 3 / 4 ) / 3 = 1 / 4 hours = 15 minutes . total time = 15 + 15 = 30 minutes . answer : b" + }, + { + "Answer": 12, + "Options": "a ) 10 days , b ) 12 days , c ) 15 days , d ) 8 days , e ) 16 days", + "Correct": "b", + "Explanation": "\"a + b 1 day work = 1 / 15 + 1 / 10 = 1 / 6 work done by a and b in 2 days = 1 / 6 * 2 = 1 / 3 remaining work = 1 - 1 / 3 = 2 / 3 now 1 / 15 work is done by a in 1 day 2 / 3 work will be done by a in 15 * 2 / 3 = 10 days total time taken = 10 + 2 = 12 days answer is b\"" + }, + { + "Answer": 1500, + "Options": "a ) 500 , b ) 1,600 / 3 , c ) 1,000 , d ) 1,500 , e ) 2,500", + "Correct": "d", + "Explanation": "\"x 13 : ( t , d , s ) y 14 : ( t , 3 d , s + 6000 mi / hour ) z 15 : ( t + 2 seconds , s , 5 d ) d = ? distance = speed * time x 13 : d = s * t x 14 : 3 d = ( s + 6000 ) * t = = = > 3 d = ts + 6000 t z 15 : 5 d = s * ( t + 2 t ) = = = > 5 d = st + 2 st = = = > 5 d - 2 st = st 3 d = 5 d - 2 st + 6000 t - 2 d = - 2 st + 6000 t 2 d = 2 st - 6000 t d = st - 3000 t x 13 : d = s * t st - 3000 t = s * t s - 3000 = s - 1500 = s i got to this point and could n ' t go any further . this seems like a problem where i can set up individual d = r * t formulas and solve but it appears that ' s not the case . for future reference how would i know not to waste my time setting up this problem in the aforementioned way ? thanks ! ! ! the distance of z 15 is equal to five times the distance of x 13 ( we established that x 13 is the baseline and thus , it ' s measurements are d , s , t ) s ( t + 2 ) = 5 ( s * t ) what clues would i have to know to set up the equation in this fashion ? is it because i am better off setting two identical distances together ? st + 2 s = 5 st t + 2 = 5 t 2 = 4 t t = 1 / 2 we are looking for distance ( d = s * t ) so we need to solve for speed now that we have time . speed y 14 - speed x 13 speed = d / t 3 d / t - d / t = 6000 ( remember , t is the same because both asteroids were observed for the same amount of time ) 2 d = 6000 2 = 3000 d = s * t d = 3000 * ( 1 / 2 ) d = 1500 answer : d\"" + }, + { + "Answer": 1.5980030008814248, + "Options": "a ) 1.6 sec , b ) 2.9 sec , c ) 2.7 sec , d ) 8.7 sec , e ) 8.5 sec", + "Correct": "a", + "Explanation": "\"speed = 214 * 5 / 18 = 59 m / sec time taken = 95 / 59 = 1.6 sec . answer : a\"" + }, + { + "Answer": 49, + "Options": "a ) 15 , b ) 20 , c ) 40 , d ) 47 , e ) 49", + "Correct": "e", + "Explanation": "\"car y began travelling after 72 minutes or 1.2 hours . let t be the time for which car y travelled before it stopped . both cars stop when they have travelled the same distance . so , 35 ( t + 1.2 ) = 65 t t = 1.4 distance traveled by car x from the time car y began traveling until both cars stopped is 35 x 1.4 = 49 miles answer : - e\"" + }, + { + "Answer": 10, + "Options": "a ) 6 , b ) 10 , c ) 9 , d ) 11 , e ) 13", + "Correct": "b", + "Explanation": "since the first computer can upload 100 megabytes worth of data in 3 seconds then in 3 * 10 = 30 seconds it can upload 10 * 100 = 1000 megabytes worth of data , hence the second computer in 30 seconds uploads 1300 - 1000 = 300 megabytes worth of data . the second computer can upload 100 megabytes of data in 10 seconds . answer : b ." + }, + { + "Answer": 10.439164866810657, + "Options": "a ) 10.9 , b ) 10.7 , c ) 10.3 , d ) 10.44 , e ) 10.8", + "Correct": "d", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 130 + 160 = 290 m . required time = 290 * 9 / 250 = 261 / 25 = 10.44 sec . ' answer : d\"" + }, + { + "Answer": 7, + "Options": "a ) 6 , b ) 7.5 , c ) 5 , d ) 6 , e ) 7", + "Correct": "e", + "Explanation": "\"let the number of men originally employed be x . 8 x = 14 ( x \u00e2 \u20ac \u201c 3 ) or x = 7 answer e\"" + }, + { + "Answer": 9.662337662337663, + "Options": "a ) 12.9 , b ) 12.0 , c ) 9.7 , d ) 8.6 , e ) 12.1", + "Correct": "c", + "Explanation": "\"1240 * 12 = 1540 * x x = 9.7 answer : c\"" + }, + { + "Answer": 14.998800095992321, + "Options": "a ) 11 , b ) 13 , c ) 15 , d ) 17 , e ) 19", + "Correct": "c", + "Explanation": "\"speed = 36 * 5 / 18 = 10 m / s time = 150 / 10 = 15 seconds the answer is c .\"" + }, + { + "Answer": 12, + "Options": "a ) 35 , b ) 56 , c ) 76 , d ) 87 , e ) 12", + "Correct": "e", + "Explanation": "\"the product of two integers is equal to the product of their lcm and gcf . hence . 16 * n = 48 * 4 n = 48 * 4 / 16 = 12 correct answer e\"" + }, + { + "Answer": 891.4285714285714, + "Options": "a ) 914.2 hours , b ) 900 hours , c ) 915 hours , d ) 891.4 hours , e ) 915 hours", + "Correct": "d", + "Explanation": "\"explanation : speed downstream = ( 16 + 2 ) = 18 kmph speed upstream = ( 16 - 2 ) = 14 kmph total time taken = 7020 / 18 + 7020 / 14 = 390 + 501.4 = 891.4 hours answer : option d\"" + }, + { + "Answer": 5, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 60 / 7", + "Correct": "d", + "Explanation": "\"you can either take the amount of work done as the same as karishma has done or take the work done by each in the same time . i will do the latter 1 . work done in 1 hr by a is 2000 envelopes 2 . work done in 1 hr by a and c is 3000 envelopes 3 . so work done in 1 hr by c is 1000 envelopes 4 . work done in 1 hr by b and c is 2400 envelopes 5 . so work done in 1 hr by b is 1400 envelopes 6 . so to process 7000 envelopes b will take 7000 / 1400 hrs = 5 hrs so the answer is choice d\"" + }, + { + "Answer": 33.333333333333336, + "Options": "a ) 65 seconds , b ) 33.33 seconds , c ) 40 seconds , d ) 97 seconds , e ) 26 seconds", + "Correct": "b", + "Explanation": "\"speed = 54 km / hr = 54 * ( 5 / 18 ) m / sec = 15 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 * ( 1 / 15 ) = 33.33 seconds answer : b\"" + }, + { + "Answer": 108, + "Options": "a ) 106 , b ) 107 , c ) 108 , d ) 109 , e ) 110", + "Correct": "c", + "Explanation": "\"length = speed * time speed = l / t s = 1500 / 50 s = 30 m / sec speed = 30 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 108 kmph answer : c\"" + }, + { + "Answer": 100, + "Options": "a ) 300 , b ) 200 , c ) 100 , d ) 400 , e ) 500", + "Correct": "c", + "Explanation": "2 ( l + 500 ) = 1200 = > l = 100 m answer : c" + }, + { + "Answer": 7, + "Options": "a ) 3 , b ) 6 , c ) 8 , d ) 9 , e ) 7", + "Correct": "e", + "Explanation": "m = 4 s = 2 us = 4 - 2 = 2 d = 14 t = 14 / 2 = 7 answer : e" + }, + { + "Answer": 15.506451791548985, + "Options": "a ) 15.7 sec , b ) 15.1 sec , c ) 15.5 sec , d ) 17.1 sec , e ) 16.7 sec", + "Correct": "c", + "Explanation": "\"speed = 65 * 5 / 18 = 18.1 m / sec total distance covered = 130 + 150 = 280 m . required time = 280 / 18.1 ' = 15.5 sec . answer : c\"" + }, + { + "Answer": 36, + "Options": "a ) 36 days . , b ) 17 days . , c ) 18 days . , d ) 19 days . , e ) 20 days .", + "Correct": "a", + "Explanation": "\"they together completed 4 / 10 work in 4 days . balance 6 / 10 work will be completed by arun alone in 60 * 6 / 10 = 36 days . answer : a\"" + }, + { + "Answer": 250.01999999999998, + "Options": "a ) 250 m , b ) 112 m , c ) 117 m , d ) 125 m , e ) 123 m", + "Correct": "a", + "Explanation": "\"a a = 180 * 5 / 18 * 5 = 250 m\"" + }, + { + "Answer": 8, + "Options": "['a ) 4 cm', 'b ) 6 cm', 'c ) 8 cm', 'd ) 10 cm', 'e ) 12 cm']", + "Correct": "c", + "Explanation": "volume of cylinder = pi * r ^ 2 * h volume of a sphere = 4 * pi * r ^ 3 / 3 9 * 4 * pi * r ^ 3 / 3 = pi * r ^ 2 * h r ^ 3 = r ^ 2 * h / 12 = 64 cm ^ 3 r = 4 cm d = 8 cm the answer is c ." + }, + { + "Answer": 1, + "Options": "a ) 30 min , b ) 3 min , c ) 1 hr , d ) 1 min , e ) 2 min", + "Correct": "d", + "Explanation": "when the cheetah is at the tree , the deer is 50 / 30 miles ahead on the highway . ( the distance covered in 2 min ) every hour , cheetah runs 10 miles more than the deer . how many hours will it takes it to cover 50 / 30 miles more ? the answer is ( 50 / 30 ) / 10 = 1 / 60 = 1 min answer d" + }, + { + "Answer": 28.8, + "Options": "a ) 23 , b ) 38 , c ) 37 , d ) 30 , e ) 28.8", + "Correct": "e", + "Explanation": "\"speed = distance / time = 200 / 25 = 8 m / s = 8 * 18 / 5 = 28.8 km / hr answer : e\"" + }, + { + "Answer": 15.93893722612836, + "Options": "a ) 15.94 , b ) 12.41 , c ) 16.1 , d ) 32.92 , e ) 32.3", + "Correct": "a", + "Explanation": "\"36 / 7 r = 6.3 = 15.94 answer : a\"" + }, + { + "Answer": 5, + "Options": "a ) 5 days , b ) 8 days , c ) 9 days , d ) 10 days , e ) 11 days", + "Correct": "a", + "Explanation": "( a + b ) ' s 1 day ' s work = 1 / 11 + 1 / 5 = 16 / 55 ( a + c ) ' s 1 day ' s work = 1 / 11 + 1 / 55 = 6 / 55 work done in 2 day ' s = 16 / 55 + 6 / 55 = 2 / 5 2 / 5 th work done in 2 days work done = 5 / 2 * 2 = 5 days answer : a" + }, + { + "Answer": 46.66293363197611, + "Options": "a ) 5.6 sec , b ) 46.67 sec , c ) 10.8 sec , d ) 12.6 sec , e ) 15 sec", + "Correct": "b", + "Explanation": "\"relative speed = 36 + 18 = 54 kmph * 5 / 18 = 15 m / s distance covered in crossing each other = 300 + 400 = 700 m required time = 700 * 1 / 15 = 46.67 sec answer is b\"" + }, + { + "Answer": 12.968749999999996, + "Options": "a ) 3 % , b ) 5 % , c ) 8 % , d ) 10 % , e ) 13 %", + "Correct": "e", + "Explanation": "bob ' s time = 640 secs . his sis ' time = 557 secs . percent increase needed = ( 640 - 557 / 640 ) * 100 = 83 / 640 * 100 = 13 % . ans ( e ) ." + }, + { + "Answer": 36, + "Options": "a ) 36 kmph , b ) 40 kmph , c ) 30 kmph , d ) 42 kmph , e ) none of these", + "Correct": "a", + "Explanation": "let the speed of the goods train be x kmph . distance covered by goods train in 10 hours = distance covered by express train in 4 hours . \u2234 10 x = 4 \u00d7 90 or x = 36 . so , speed of goods train = 36 kmph . answer a" + }, + { + "Answer": 3, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 7", + "Correct": "c", + "Explanation": "\"3 people can do the work one time in one day . 1 person can do 1 / 3 of the work in one day . 4 people can do 4 / 3 of the work in one day . 4 people can do 4 times the work in 3 days . the answer is c .\"" + }, + { + "Answer": 0.37500000000000006, + "Options": "a ) 1 / 8 , b ) 1 / 3 , c ) 3 / 6 , d ) 3 / 8 , e ) 5 / 3", + "Correct": "d", + "Explanation": "\"a ' s one day ' s work = 1 / 20 b ' s one day ' s work = 1 / 40 ( a + b ) ' s one day ' s work = 1 / 20 + 1 / 40 = 3 / 40 the part of the work completed in 5 days = 5 ( 3 / 40 ) = 3 / 8 . answer : d\"" + }, + { + "Answer": 3.5, + "Options": "a ) 3.0 , b ) 3.25 , c ) 3.5 , d ) 3.75 , e ) 4.0", + "Correct": "c", + "Explanation": "\"the swimmer can swim against the current at a speed of 4 - 2 = 2 km / h . the time it will take is 7 / 2 = 3.5 hours . the answer is c .\"" + }, + { + "Answer": 19.99840012798976, + "Options": "a ) 18 , b ) 20 , c ) 22 , d ) 24 , e ) 28", + "Correct": "b", + "Explanation": "\"the speed of the boat downstream = 15 + 3 = 18 km / hr 18 km / hr * 5 / 18 = 5 m / s the time taken to cover 110 meters = 110 / 5 = 22 seconds . the answer is b .\"" + }, + { + "Answer": 27, + "Options": "a ) 7 , b ) 14 , c ) 25 , d ) 27 , e ) 30", + "Correct": "d", + "Explanation": "\"initial no of students + 3 * ( 1 + no of possible 3 minute intervals between 15 : 03 and 15 : 44 ) - 8 * ( 1 + no of possible 10 minute intervals between 15 : 10 and 15 : 44 ) 20 + 3 * 14 - 8 * 4 = 27 d\"" + }, + { + "Answer": 35.999999999999986, + "Options": "a ) 1 , b ) 7 , c ) 8 , d ) 9 , e ) 36", + "Correct": "e", + "Explanation": "\"c = 1 / 4 - 1 / 6 \u2013 1 / 18 = 1 / 36 = > 36 days ' answer : e\"" + }, + { + "Answer": 444, + "Options": "a ) 227 , b ) 444 , c ) 277 , d ) 298 , e ) 212", + "Correct": "b", + "Explanation": "1 h - - - - - 5 ? - - - - - - 60 12 h rs = 16 + 21 = 37 t = 12 d = 37 * 12 = 444 answer : b" + }, + { + "Answer": 9.000000000000004, + "Options": "a ) 8 , b ) 7 , c ) 9 , d ) 6 , e ) 5", + "Correct": "c", + "Explanation": "one way of approaching this question is by relative speed method 1 . speed / rate of donovan = distance / time = > 600 / 45 = > 40 / 3 2 . speed / rate of michael = distance / time = > 600 / 40 = > 15 relative speed between them = 15 - 40 / 3 = > 5 / 3 ( we subtract the rates if moving in the same direction and add the rates if moving in the opposite direction ) in order to pass donovan - distance to be covered = 600 , relative rate = 5 / 3 total time taken by micheal to surpass donovan = distance / rate = > 600 * 3 / 5 = > 360 no . of laps taken by michael = total time / michael ' s rate = > 360 / 40 = > 9 hence correct answer is 9 laps . c" + }, + { + "Answer": 3.6, + "Options": "a ) 1.2 km , b ) 1.8 km , c ) 2.4 km , d ) 3.6 km , e ) 1.6 km", + "Correct": "d", + "Explanation": "\"b = 15 km / hr , s = 3 km / hr , downstream b + s = 15 + 3 = 18 km / hr down stream time t = 12 min , we have to change it to hours so t = 12 / 60 = 1 / 5 hrs . distance = speed * time = 18 * 1 / 5 = 3.6 km . answer : d\"" + }, + { + "Answer": 39, + "Options": "a ) 98 days , b ) 21 days , c ) 17 days , d ) 39 days , e ) 19 days", + "Correct": "d", + "Explanation": "\"wc = 1 : 2 2 x + x = 1 / 26 = > x = 1 / 78 2 x = 1 / 78 = > 39 days answer : d\"" + }, + { + "Answer": 12, + "Options": "a ) 12 days , b ) 15 days , c ) 16 days , d ) 18 days , e ) 20 days", + "Correct": "a", + "Explanation": "\"let us assume that the work is laying 40 bricks . jane = 2 bricks per day ashley = 4 brick per day together = 6 bricks per day let ' s say first 8 days ashley works alone , no of bricks = 32 last 4 days jane works alone , no . of bricks = 8 remaining bricks = 40 - 40 = 0 so together , they would take 0 / 6 = 0 total no . of days = 8 + 4 + 0 = 12 answer is a\"" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 4 , c ) 5 , d ) 3 , e ) 6", + "Correct": "a", + "Explanation": "speed = 9 * 5 / 18 = 2.5 m / sec time taken = 300 / 2.5 = 120 sec ie . 2 mins . answer : a" + }, + { + "Answer": 15, + "Options": "a ) 26 minutes , b ) 23 minutes , c ) 15 minutes , d ) 19 minutes , e ) 28 minutes", + "Correct": "c", + "Explanation": "speed of boat in still water = 25 km / hr speed upstream = 10 \u2044 1 = 10 km / hr speed of the stream = ( 25 - 10 ) = 15 km / hr speed downstream = ( 25 + 15 ) = 40 km / hr time taken to travel 10 km downstream = 10 / 40 hours = ( 10 \u00d7 60 ) / 40 = 15 minutes answer is c" + }, + { + "Answer": 187, + "Options": "a ) 187 , b ) 180 , c ) 190 , d ) 195 , e ) 197", + "Correct": "a", + "Explanation": "length = width = = > square = 5 m 78 cm and 3 m 74 5 m 78 cm = 578 cm and 3 m 74 cm = 374 cm hcf of 578 and 374 = 34 square is 34 = 578 * 374 / 34 * 34 = = 17 * 11 = 187 answer a" + }, + { + "Answer": 2, + "Options": "a ) 2 kmph , b ) 4 kmph , c ) 16 kmph , d ) 2.5 kmph , e ) 26 kmph", + "Correct": "a", + "Explanation": "\"speed of the stream = 1 / 2 ( 12 - 8 ) kmph = 2 kmph . correct option a\"" + }, + { + "Answer": 24.999999999999996, + "Options": "a ) 25 days , b ) 100 days , c ) 120 days , d ) 110 days , e ) 90 days", + "Correct": "a", + "Explanation": "\"rate of both = 1 / 20 together they do = 1 / 20 * 18 = 9 / 10 left work = 1 - 9 / 10 = 1 / 10 adam completes 1 / 10 work in 10 day so he took 10 * 10 = 100 days to complete the left work alone . thus the rate of adam is 1 / 100 rate of micheal = 1 / 20 - 1 / 100 = 1 / 25 thus micheal takes 25 days to complete the whole work . ans . a .\"" + }, + { + "Answer": 66, + "Options": "a ) 56 m , b ) 66 m , c ) 76 m , d ) 86 m , e ) 96 m", + "Correct": "b", + "Explanation": "\"let breadth = x metres . then , length = ( x + 32 ) metres . perimeter = 5300 m = 200 m . 26.50 2 [ ( x + 32 ) + x ] = 200 2 x + 32 = 100 2 x = 68 x = 34 . hence , length = x + 32 = 66 m b\"" + }, + { + "Answer": 48, + "Options": "a ) 45 , b ) 48 , c ) 50 , d ) 52 , e ) 54", + "Correct": "b", + "Explanation": "the time it takes bob to drive to city b is 120 / 40 = 3 hours . alice needs to take less than 2.5 hours for the trip . alice needs to exceed a constant speed of 120 / 2.5 = 48 miles per hour . the answer is b ." + }, + { + "Answer": 12.010919017288444, + "Options": "a ) 17 , b ) 19 , c ) 17 , d ) 12 , e ) 91", + "Correct": "d", + "Explanation": "\"2 * 22 / 7 * 14 * x = 1056 = > x = 12 answer : d\"" + }, + { + "Answer": 14.163809523809524, + "Options": "a ) 15.27 , b ) 14.15 , c ) 17.27 , d ) 18.27 , e ) 19.27", + "Correct": "b", + "Explanation": "\"area of circle is pi * r ^ 2 but in 10 minutes area covered is ( 10 / 60 ) * 360 = 60 degree so formula is pi * r ^ 2 * ( angle / 360 ) = 3.14 * ( 5.2 ^ 2 ) * ( 60 / 360 ) = 14.15 cm ^ 2 answer : b\"" + }, + { + "Answer": 286, + "Options": "a ) 715 , b ) 825 , c ) 286 , d ) 582 , e ) 465", + "Correct": "c", + "Explanation": "\"first number * second number = lcm * hcf other number = 2310 * 26 / 210 = 11 * 26 = 286 answer : c\"" + }, + { + "Answer": 500, + "Options": "a ) 550 m . , b ) 300 m . , c ) 600 m . , d ) 400 m . , e ) 500 m .", + "Correct": "e", + "Explanation": "\"let the length of the train be x meters and its speed be y m / sec . they , x / y = 50 = > y = x / 50 x + 500 / 100 = x / 50 x = 500 m . answer : option e\"" + }, + { + "Answer": 44, + "Options": "a ) 42 , b ) 44 , c ) 49 , d ) 41 , e ) 47", + "Correct": "b", + "Explanation": "in 12 hours , they are at right angles 22 times . = = > in 24 hours , they are at right angles 44 times . answer is b ." + }, + { + "Answer": 54, + "Options": "a ) 27 days , b ) 54 days , c ) 56 days , d ) 68 days , e ) none of these", + "Correct": "b", + "Explanation": "explanation : as per question , a do twice the work as done by b . so a : b = 2 : 1 also ( a + b ) one day work = 1 / 18 to get days in which b will finish the work , lets calculate work done by b in 1 day = = ( 118 \u2217 13 ) = 154 [ please note we multiplied by 1 / 3 as per b share and total of ra \u0275 o is 1 / 3 ] so b will finish the work in 54 days answer : b" + }, + { + "Answer": 12, + "Options": "a ) 10 kmph , b ) 14 kmph , c ) 12 kmph , d ) 16 kmph , e ) 15 kmph", + "Correct": "c", + "Explanation": "\"x = the speed of the stream ( 36 + x ) / ( 36 - x ) = 2 / 1 36 + x = 72 - 2 x 3 x = 36 x = 12 km / hour if the speed of the stream is 12 km / hour , then the ' downstream ' speed of the boat is 36 + 12 = 48 km / hour and the ' upstream ' speed of the boat is 36 - 12 = 24 km / hour . in that way , if the boat traveled for 2 hours , it would travel 2 x 48 = 96 km downstream and 2 x 24 = 48 km / hour upstream . answer : c\"" + }, + { + "Answer": 54, + "Options": "a ) 40 , b ) 45 , c ) 50 , d ) 54 , e ) 60", + "Correct": "d", + "Explanation": "\"a - b = 120 miles b - c = 60 miles avg speed = 50 miles time taken for a - b 3 t and b - c be t avg speed = ( 120 + 60 ) / total time 50 = 180 / 4 t t = 54 b - c = 54 mph answer d\"" + }, + { + "Answer": 2, + "Options": "a ) 5 , b ) 4 , c ) 2 , d ) 3 , e ) 1", + "Correct": "c", + "Explanation": "m = | | n \u2013 3 | \u2013 2 | can be 4 only and only when n - 3 = + / - 7 . so there are 2 values of n answer : c" + }, + { + "Answer": 6, + "Options": "a ) 6 , b ) 3 , c ) 1 , d ) 4 , e ) 2", + "Correct": "a", + "Explanation": "answer is a ) 6" + }, + { + "Answer": 260, + "Options": "a ) 104 kmph , b ) 194 kmph , c ) 109 kmph , d ) 260 kmph , e ) 271 kmph", + "Correct": "d", + "Explanation": "\"624 / 2 2 / 5 = 260 kmph answer : d\"" + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 10 , b ) 5 , c ) 8 , d ) 6 , e ) 13", + "Correct": "d", + "Explanation": "if total work is x . ram working rate = x / 10 per day . working rate of gohul = x / 15 per day . rate of work = ( x / 10 ) + ( x + 15 ) = 30 x / 5 x = 6 days the answer is option d" + }, + { + "Answer": 36, + "Options": "a ) 34 , b ) 36 , c ) 38 , d ) 40 , e ) ( f ) 42", + "Correct": "b", + "Explanation": "\"jk = 6 lm = 12 kl = using distance formula 10 jm = using distance formula 8 sum of all is 36 b\"" + }, + { + "Answer": 10, + "Options": "a ) 5 . , b ) 10 . , c ) 14 . , d ) 15 . , e ) 20 .", + "Correct": "b", + "Explanation": "\"time is in the ratio 2 : 1 : : to : fro office therefore , 2 x + 1 x = 6 hrs time take to come back - 2 hrs , distance travelled - 20 km = > speed = 10 kmph b\"" + }, + { + "Answer": 42.34285714285714, + "Options": "a ) 44 , b ) 42.343 , c ) 50 , d ) 39.252 , e ) 27.851", + "Correct": "b", + "Explanation": "\"speed = 42 km / hr = 42 * ( 5 / 18 ) m / sec = 35 / 3 m / sec total distance = 357 + 137 = 494 meter time = distance / speed = 494 * ( 3 / 35 ) = 42.343 seconds . answer : b\"" + }, + { + "Answer": 139.98880089592834, + "Options": "a ) 100 , b ) 120 , c ) 140 , d ) 160 , e ) 180", + "Correct": "c", + "Explanation": "\"18 km / hr = 18000 m / 3600 s = 5 m / s time = 700 / 5 = 140 seconds the answer is c .\"" + }, + { + "Answer": 48, + "Options": "a ) a ) 45 , b ) b ) 33 , c ) c ) 48 , d ) d ) 55 , e ) e ) 61", + "Correct": "c", + "Explanation": "\"let y be the balance distance to be covered and x be the former speed . a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late so , y / ( 3 x / 4 ) - y / x = 35 / 60 4 y / 3 x - y / x = 7 / 12 y / x ( 4 / 3 - 1 ) = 7 / 12 y / x * 1 / 3 = 7 / 12 y / x = 7 / 4 4 y - 7 x = 0 . . . . . . . . 1 had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late so , ( y - 24 ) / ( 3 x / 4 ) - ( y - 24 ) / x = 25 / 60 4 ( y - 24 ) / 3 x - ( y - 24 ) / x = 5 / 12 ( y - 24 ) / x ( 4 / 3 - 1 ) = 5 / 12 ( y - 24 ) / x * 1 / 3 = 5 / 12 ( y - 24 ) * 12 = 3 x * 5 ( y - 24 ) * 4 = 5 x 4 y - 5 x = 96 . . . . . . . 2 eq 2 - eq 1 2 x = 96 x = 48 = r ans = c\"" + }, + { + "Answer": 264, + "Options": "a ) 18 , b ) 144 , c ) 175 , d ) 216 , e ) 264", + "Correct": "e", + "Explanation": "total paint initially = 360 gallons paint used in the first week = ( 2 / 3 ) * 360 = 240 gallons . remaning paint = 120 gallons paint used in the second week = ( 1 / 5 ) * 120 = 24 gallons total paint used = 264 gallons . option e" + }, + { + "Answer": 600, + "Options": "a ) 550 , b ) 600 , c ) 650 , d ) 700 , e ) 750", + "Correct": "b", + "Explanation": "\"1 flash = 6 sec for 1 min = 10 flashes so for 1 hour = 10 * 60 = 600 flashes . answer : b\"" + }, + { + "Answer": 13.090909090909092, + "Options": "a ) 4 , b ) 6 , c ) 12 , d ) 9 , e ) 13", + "Correct": "e", + "Explanation": "\"speed of train relative to man = ( 60 + 6 ) km / hr = 66 km / hr [ 66 * 5 / 18 ] m / sec = [ 55 / 3 ] m / sec . time taken to pass the man = [ 240 * 3 / 55 ] sec = 13 sec answer : e\"" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 78", + "Correct": "d", + "Explanation": "\"work done by a and b in the first two hours , working alternately = first hour a + second hour b = 1 / 4 + 1 / 12 = 1 / 3 . total time required to complete the work = 2 * 3 = 6 days . answer : d\"" + }, + { + "Answer": 75, + "Options": "a ) 63 , b ) 66 , c ) 69 , d ) 72 , e ) 75", + "Correct": "e", + "Explanation": "let v be the speed of the person and let x be the speed of the walkway . 50 ( v + x ) = 100 then 150 ( v + x ) = 300 150 ( v - x ) = 100 when we add the two equations : 300 v = 400 v = 4 / 3 time = 100 / ( 4 / 3 ) = 75 seconds the answer is e ." + }, + { + "Answer": 316.8, + "Options": "a ) 754 m , b ) 316.512 m , c ) 311.512 m , d ) 311.518 m , e ) 313.512 m", + "Correct": "b", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 300 resolutions . = 300 * 2 * 22 / 7 * 16.8 = 31651.2 cm = 316.512 m answer : b\"" + }, + { + "Answer": 18700, + "Options": "a ) s . 15,550 , b ) s . 15,600 , c ) s . 16,500 , d ) s . 17,600 , e ) s . 18,700", + "Correct": "e", + "Explanation": "\"area of the floor = ( 5.5 \u00e3 \u2014 4 ) m 2 = 22 m 2 . cost of paving = rs . ( 850 \u00e3 \u2014 22 ) = rs . 18700 answer : option e\"" + }, + { + "Answer": 1050, + "Options": "a ) 1050 km , b ) 1150 km , c ) 1250 km , d ) 1550 km , e ) 850 km", + "Correct": "a", + "Explanation": "\"d = 30 * 5 = 150 rs = 35 \u2013 30 = 5 t = 150 / 5 = 30 d = 35 * 30 = 1050 km answer : a\"" + }, + { + "Answer": 798.2857142857142, + "Options": "a ) 724 m , b ) 798.3 m , c ) 287 m , d ) 278 m , e ) 927 m", + "Correct": "b", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 500 resolutions . = 500 * 2 * 22 / 7 * 25.4 = 79829 cm = 798.3 m answer : b\"" + }, + { + "Answer": 3.333333333333333, + "Options": "a ) 3.33 days , b ) 4.33 days , c ) 5.33 days , d ) 6.33 days , e ) 7.33 days", + "Correct": "a", + "Explanation": "\"1 / 5 + 1 / 10 = 3 / 10 10 / 3 = 3.33 days answer : a\"" + }, + { + "Answer": 24, + "Options": "a ) 24 , b ) 37 , c ) 30 , d ) 27 , e ) 18", + "Correct": "a", + "Explanation": "\"us = 20 ds = 28 m = ( 28 + 20 ) / 2 = 24 answer : a\"" + }, + { + "Answer": 6, + "Options": "a ) 2 meters , b ) 6 meters , c ) 5 meters , d ) 3 meters , e ) 7 meters", + "Correct": "b", + "Explanation": "\"400 rev / minute = 400 * 60 rev / 60 minutes = 24,000 rev / hour 24,000 * c = 144,000 m : c is the circumference c = 6 meters correct answer b\"" + }, + { + "Answer": 12, + "Options": "a ) 3 minutes , b ) 4 minutes , c ) 5 minutes , d ) 6 minutes , e ) 12 minutes", + "Correct": "e", + "Explanation": "\"rate = work / time given rate of machine a = x / 10 min machine b produces 2 x boxes in 5 min hence , machine b produces 4 x boxes in 10 min . rate of machine b = 4 x / 10 we need tofind the combined time that machines a and b , working simultaneouslytakeat their respective constant rates let ' s first find the combined rate of machine a and b rate of machine a = x / 10 min + rate of machine b = 4 x / 10 = 5 x / 10 now combine time = combine work needs to be done / combine rate = 6 x / 5 x * 10 = 12 min ans : e\"" + }, + { + "Answer": 240, + "Options": "a ) 550 , b ) 600 , c ) 240 , d ) 700 , e ) 750", + "Correct": "c", + "Explanation": "\"1 flash = 15 sec for 1 min = 4 flashes so for 1 hour = 4 * 60 = 240 flashes . answer : c\"" + }, + { + "Answer": 116.66666666666667, + "Options": "a ) 116.67 , b ) 882 , c ) 772 , d ) 252 , e ) 121", + "Correct": "a", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 7 = 116.67 meter . answer : a\"" + }, + { + "Answer": 0.9999200063994881, + "Options": "a ) 2.5 sec , b ) 1.0 sec , c ) 7.5 sec , d ) 2.3 sec , e ) 1.5 sec", + "Correct": "b", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 40 / 40 = 1.0 sec . answer : b\"" + }, + { + "Answer": 50, + "Options": "a ) 34 days , b ) 40 days , c ) 46 days , d ) 50 days , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : less cows , more days ( indirect proportion ) less bags , less days ( direct proportion ) [ cows 1 50 bags 50 1 ] : : 50 : x = > x \u2217 50 \u2217 1 = 50 \u2217 1 \u2217 50 = > x = 50 option d\"" + }, + { + "Answer": 20, + "Options": "a ) 11 , b ) 20 , c ) 77 , d ) 26 , e ) 12", + "Correct": "b", + "Explanation": "\"distance = relative speed * time = ( 2 + 3 ) * 4 = 20 km [ they are travelling in the opposite direction , relative speed = sum of the speeds ] . answer : b\"" + }, + { + "Answer": 160, + "Options": "a ) 120 , b ) 150 , c ) 160 , d ) 180 , e ) 200", + "Correct": "c", + "Explanation": "8 : 12 = 2 : 3 if 240 lrs of the 2 nd variety taken then the 1 st variety should be taken as 160 lr answer c" + }, + { + "Answer": 1.1076923076923078, + "Options": "a ) 3.5 kmph . , b ) 2.5 kmph . , c ) 1.2 kmph . , d ) 1.1 kmph . , e ) 1.9 kmph .", + "Correct": "d", + "Explanation": "\"8 / 26 m / s = 8 / 26 * 18 / 5 = 1 ( 1 / 10 ) = 1.1 kmph . answer : d\"" + }, + { + "Answer": 4.666293363197611, + "Options": "a ) 2.5 , b ) 4.7 , c ) 2.9 , d ) 2.3 , e ) 2.1", + "Correct": "b", + "Explanation": "\"speed = 108 * 5 / 18 = 30 m / sec time taken = 140 / 30 = 4.7 sec . answer : b\"" + }, + { + "Answer": 0.2857142857142857, + "Options": "a ) 3 / 7 , b ) 2 / 7 , c ) 1 / 4 , d ) 2 / 3 , e ) 5 / 7", + "Correct": "b", + "Explanation": "\"rate of the small pump is 1 / 2 tank / hour rate of the larger pump is 1 / ( 1 / 3 ) or 3 tank / hour ; combined rate of the two pumps is 1 / 2 + 3 = 7 / 2 tank / hour , together they will fill the empty tank in 1 / ( 7 / 2 ) = 2 / 7 hours ( time = job / rate ) . answer : b\"" + }, + { + "Answer": 28.999999999999996, + "Options": "a ) 29 , b ) 40 , c ) 25 , d ) 66 , e ) 09", + "Correct": "a", + "Explanation": "\"s = ( 90 + 200 ) / 36 = 290 / 36 * 18 / 5 = 29 answer : a\"" + }, + { + "Answer": 75, + "Options": "a ) 60 , b ) 70 , c ) b = 75 , d ) b = 80 , e ) 100", + "Correct": "c", + "Explanation": "\"we can also use the concept of man - days here 100 days - - > 10 men so the job includes 100 * 10 = 1000 man - days after 20 days 1 / 4 of job is completed so 1 / 4 x 1000 man - days = 250 man - days job is done now the balance job = 1000 - 250 = 750 man - days worth of job since 2 men are fired so b / l men = 8 therefore total no . of days of job = 750 man - day / 8 days = 375 / 4 = 94 days ( approx . ) now since this is total and ques . is asking for additional no . of days , so 94 - 20 = 74 days the nearest approx . to answer is 75 ans : c ( 75 days )\"" + }, + { + "Answer": 1.4999999999999998, + "Options": "a ) 1.5 kmph , b ) 1.75 kmph , c ) 2 kmph , d ) 3 kmph , e ) none", + "Correct": "a", + "Explanation": "sol . rate downstream = [ 32 / 6 ] kmph ; rate upstream = [ 14 / 6 ] kmph . \u2234 velocity of current = 1 / 2 [ 32 / 6 - 14 / 6 ] kmph = 3 / 2 kmph = 1.5 kmph . answer a" + }, + { + "Answer": 2, + "Options": "a ) 2 mph , b ) 2.5 mph , c ) 3 mph , d ) 4 mph , e ) none", + "Correct": "a", + "Explanation": "\"solution speed downstreams = ( 10 + x ) mph . speed upstreams = ( 10 - x ) mph . = 18 kmph . 36 / ( 10 - x ) - 36 / ( 10 + x ) = 90 / 60 = 72 x \u00d7 60 = 90 ( 100 - x \u00b2 ) x \u00b2 + 48 x + 100 = 0 . x = 2 mph . answer a\"" + }, + { + "Answer": 20, + "Options": "a ) 20 kmph , b ) 17 kmph , c ) 15 kmph , d ) 14 kmph , e ) 13 kmph", + "Correct": "a", + "Explanation": "\"let the time taken to reach the destination be 3 x hours . total distance = 40 * 3 x = 120 x km he covered 2 / 3 * 120 x = 80 x km in 1 / 3 * 3 x = x hours so , the remaining 40 x km , he has to cover in 2 x hours . required speed = 40 x / 2 x = 20 kmph . answer : a\"" + }, + { + "Answer": 245, + "Options": "a ) 200 meters , b ) 225 meters , c ) 245 meters , d ) 250 meters , e ) 300 meters", + "Correct": "c", + "Explanation": "\"given , length of the train = 130 meters speed of the train = 45 km / hr = 45 * 518 m / sec = 252 m / sec time = 30 secs let the length of the bridge be x meters . the distance travelled by the train while crossing the bridge will be sum of the length of train and length of the bridge = ( x + 130 ) meters so , 252 = x + 13030 = 30 * 25 = 2 x + 260 = 750 - 260 = 2 x = 490 = 2 x = x = 245 meters . answer c\"" + }, + { + "Answer": 8, + "Options": "a ) 8 , b ) 16 , c ) 18 , d ) 25 , e ) 10", + "Correct": "a", + "Explanation": "\"solution ratio of times taken by sakshi and tanya = 125 : 100 = 5 : 4 . suppose tanya taken x days to do the work . 5 : 4 : : 10 : x \u21d2 x = ( 10 x 4 / 5 ) \u21d2 x = 8 days . hence , tanya takes 8 days is complete the work . answer a\"" + }, + { + "Answer": 11.75, + "Options": "a ) $ 30 , b ) $ 54 , c ) $ 28.50 , d ) $ 12 , e ) $ 11.75", + "Correct": "e", + "Explanation": "2.35 * 5 = 11.75 . answer is e ." + }, + { + "Answer": 29.999999999999993, + "Options": "a ) 10 hours , b ) 20 hours , c ) 30 hours , d ) 40 hours , e ) 50 hours", + "Correct": "c", + "Explanation": "if a and b together can do a piece of work in x days and a alone can do the same work in y days , then b alone can do the same work in x y / y \u2013 x days . therefore , the no . of hours required by b = 10 \u00d7 15 / 15 \u2013 10 = 150 / 5 = 30 hours . answer : c" + }, + { + "Answer": 120, + "Options": "a ) 120 , b ) 121 , c ) 122 , d ) 123 , e ) 124", + "Correct": "a", + "Explanation": "explanation : total distance = distance traveled by person a + distance traveled by person b = ( 7 \u00e3 \u2014 12 ) + ( 3 \u00e3 \u2014 12 ) = 84 + 36 = 120 km answer : a" + }, + { + "Answer": 0.38888888888888884, + "Options": "a ) 2 / 5 , b ) 7 / 18 , c ) 1 / 4 , d ) 1 / 9 , e ) 2 / 6", + "Correct": "b", + "Explanation": "\"a ' s one day ' s work = 1 / 30 b ' s one day ' s work = 1 / 45 ( a + b ) ' s one day ' s work = 1 / 30 + 1 / 45 = 1 / 18 the part of the work completed in 7 days = 7 ( 1 / 18 ) = 7 / 18 . answer b\"" + }, + { + "Answer": 32, + "Options": "a ) 30 , b ) 36 , c ) 34 , d ) 32 , e ) none of these", + "Correct": "d", + "Explanation": "m 1 \u00d7 d 1 \u00d7 t 1 \u00d7 w 2 = m 2 \u00d7 d 2 \u00d7 t 2 \u00d7 w 1 24 \u00d7 10 \u00d7 8 \u00d7 1 = m 2 \u00d7 6 \u00d7 10 \u00d7 1 \u21d2 m 2 = 24 \u00d7 10 \u00d7 8 / 6 \u00d7 10 = 32 men answer d" + }, + { + "Answer": 4, + "Options": "a ) 8 , b ) 10 , c ) 15 , d ) 7 , e ) 4", + "Correct": "e", + "Explanation": "\"30 * 25 = 750 620 - - - - - - - - - - - 130 25 + 7.50 = 32.5 130 / 32.5 = 4 e\"" + }, + { + "Answer": 22, + "Options": "a ) 14 , b ) 15 , c ) 18 , d ) 22 , e ) 33", + "Correct": "d", + "Explanation": "\"the runner runs the first 20 miles at speed v and the second 20 miles at speed v / 2 . the time t 2 to run the second half must be twice the time t 1 to run the first half . t 2 = 2 * t 1 = t 1 + 11 t 1 = 11 and so t 2 = 22 . the answer is d .\"" + }, + { + "Answer": 195, + "Options": "a ) 160 , b ) 170 , c ) 180 , d ) 195 , e ) 200", + "Correct": "d", + "Explanation": "\"one man can complete the work in 30 * 65 = 1950 days = one time work to complete the work twice it will be completed in let m be the no . of worker assign for this therefore the eqn becomes m * 20 = 2 * 1950 m = 195 workers answer : d\"" + }, + { + "Answer": 57.6, + "Options": "a ) 57.6 , b ) 27 , c ) 25 , d ) 22 , e ) 72", + "Correct": "a", + "Explanation": "sol : ( length of train + length of bridge ) = speed of train x time ( 250 + 150 ) = 25 x speed speed = 400 / 25 = 16 m / s = 57.6 km / h answer = a" + }, + { + "Answer": 6, + "Options": "a ) 10 , b ) 15 , c ) 6 , d ) 8 , e ) 7", + "Correct": "c", + "Explanation": "\"12 * 4 = 8 * x x = 6 answer : c\"" + }, + { + "Answer": 2700, + "Options": "a ) 180 , b ) 2700 , c ) 18 , d ) 18000 , e ) 1.8", + "Correct": "b", + "Explanation": "\"area of the hall = 3600 * 1500 area of each stone = ( 40 * 50 ) therefore , number of stones = ( 3600 * 1500 / 40 * 50 ) = 2700 answer : b\"" + }, + { + "Answer": 100, + "Options": "a ) 20 % , b ) 80 % , c ) 100 % , d ) 180 % , e ) 200 %", + "Correct": "c", + "Explanation": "\"c . let ' s assume just jane 40 bears per 40 / hrs a week , so that is 1 bear / hr . with an assistant she makes 72 bears per 36 hours a week or 2 bears / hr ( [ 40 bears * 1.8 ] / [ 40 hrs * . 90 ] ) . r = [ ( 2 - 1 ) / 1 ] * 100 % = 100 % . c\"" + }, + { + "Answer": 51, + "Options": "a ) 51 , b ) 88 , c ) 90 , d ) 42 , e ) 22", + "Correct": "a", + "Explanation": "\"sp of 1 m of cloth = 4950 / 75 = rs . 66 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 66 - rs . 15 = rs . 51 answer : a\"" + }, + { + "Answer": 4.444444444444445, + "Options": "a ) 1.01 , b ) 4.44 , c ) 11.5 , d ) 1.75 , e ) 2.14", + "Correct": "b", + "Explanation": "distance from x to z = 5 hr * 80 mph = 400 miles hence distance from y to z = 1 / 2 * 400 = 200 time = 200 / 45 = 4.44 hrs imo : b" + }, + { + "Answer": 131.94689145077132, + "Options": "['a ) rs . 150', 'b ) rs . 132', 'c ) rs . 100', 'd ) rs . 125', 'e ) rs . 225']", + "Correct": "b", + "Explanation": "2 * 22 / 7 * 14 = 88 88 * 1 1 / 2 = rs . 132 answer : b" + }, + { + "Answer": 3, + "Options": "a ) 5 hours , b ) 3 hours 20 minutes , c ) 3 hours , d ) 2 hours 45 minutes , e ) 8 hours", + "Correct": "c", + "Explanation": "\"relative speed = 63 - 57 = 6 miles per hour dist required = 14 + 4 = 18 miles time taken to overtake = 18 / 6 = 3 hours . c is the answer .\"" + }, + { + "Answer": 4.000000000000001, + "Options": "a ) 4 days , b ) 5 days , c ) 6 days , d ) 7 days , e ) 8 days", + "Correct": "a", + "Explanation": "\"2 / 4 + ( 2 + x ) / 12 = 1 = > x = 4 days answer : a\"" + }, + { + "Answer": 3.6363636363636362, + "Options": "a ) 2.6 hours , b ) 3.6 hours , c ) 4.6 hours , d ) 5.6 hours , e ) none of these", + "Correct": "b", + "Explanation": "let ' s first find the rates of the pumps and the drainage hole pump a : 1 / 5 , pump b : 1 / 8 , drainage hole : 1 / 20 let t be the time for the pumps to fill the tank . the pumps , add water into the tank however the drainage hole drains water out of the tank , hence t ( 1 / 5 + 1 / 8 - 1 / 20 ) = 1 solve for t t = 3.6 hours answer b" + }, + { + "Answer": 200.016, + "Options": "a ) 120 mps , b ) 200 mps , c ) 181 mps , d ) 190 mps , e ) 125 mps", + "Correct": "b", + "Explanation": "\"720 * 5 / 18 = 200 mps answer : b\"" + }, + { + "Answer": 60, + "Options": "['a ) 50 m', 'b ) 60 m', 'c ) 65 m', 'd ) 75 m', 'e ) 80 m']", + "Correct": "b", + "Explanation": "let breadth = x metres . then , length = ( x + 20 ) metres . perimeter = 5300 m = 200 m . 26.50 2 [ ( x + 20 ) + x ] = 200 2 x + 20 = 100 2 x = 80 x = 40 . hence , length = x + 20 = 60 m b" + }, + { + "Answer": 899.9999999999998, + "Options": "a ) 1 km , b ) 500 mts , c ) 900 mts , d ) 2 km , e ) 250 mts", + "Correct": "c", + "Explanation": "\"let the each distance be x km total distance = 3 x then total time , ( x / 3 ) + ( x / 6 ) + ( x / 9 ) = 11 / 60 x = 0.3 total distance = 3 * 0.3 = 0.9 km = 900 meters correct option is c\"" + }, + { + "Answer": 4, + "Options": "a ) 2 , b ) 5 , c ) 6 , d ) 4 , e ) 1", + "Correct": "d", + "Explanation": "\"let the leak can empty the full tank in x hours 1 / 2 - 1 / x = 1 / 4 = > 1 / x = 1 / 2 - 1 / 4 = 1 / 4 = > x = 4 . answer : d\"" + }, + { + "Answer": 10.000000000000002, + "Options": "a ) 10 sec , b ) 11 sec , c ) 77 sec , d ) 99 sec , e ) 67 sec", + "Correct": "a", + "Explanation": "\"rs = 60 - 40 = 20 * 5 / 18 = 100 / 18 t = 50 d = 50 * 100 / 18 = 2500 / 9 rs = 60 + 40 = 100 * 5 / 18 t = 2500 / 9 * 18 / 500 = 10 sec answer : a\"" + }, + { + "Answer": 2.4, + "Options": "a ) 8 / 3 , b ) 3 / 8 , c ) 8 / 5 , d ) 12 / 5 , e ) 5 / 3", + "Correct": "d", + "Explanation": "\"distance traveled by eddy = 540 km time taken by eddy = 3 hours average speed of eddy = 540 / 3 = 180 km / hour distance traveled by freddy = 300 km time taken by freddy = 4 hours average speed of freddy = 300 / 4 = 75 km / hour ratio of average speed of eddy to freddy = 180 / 75 = 12 / 5 answer d\"" + }, + { + "Answer": 10, + "Options": "a ) 10 miles , b ) 14 miles , c ) 12 miles , d ) 20 miles , e ) 30 miles", + "Correct": "a", + "Explanation": "a 10 miles speed us 10 miles / hour" + }, + { + "Answer": 5.760000000000001, + "Options": "a ) 7.76 kms , b ) 8.76 kms , c ) 5.76 kms , d ) 3.76 kms , e ) 4.76 kms", + "Correct": "c", + "Explanation": "\"explanation : speed in still water = 6 kmph stream speed = 1.2 kmph down stream = 7.2 kmph up stream = 4.8 kmph x / 7.2 + x / 4.8 = 1 x = 2.88 total distance = 2.88 x 2 = 5.76 kms answer : c\"" + }, + { + "Answer": 205, + "Options": "a ) 239 , b ) 277 , c ) 205 , d ) 88 , e ) 232", + "Correct": "c", + "Explanation": "\"speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 170 + x ) / 30 = 25 / 2 = = > 2 ( 170 + x ) = 750 = = > x = 205 m . answer : c\"" + }, + { + "Answer": 175.99999999999997, + "Options": "a ) 794 m , b ) 704 m , c ) 454 m , d ) 186 m , e ) 176 m", + "Correct": "e", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 125 resolutions . = 125 * 2 * 22 / 7 * 22.4 = 17600 cm = 176 m answer : e\"" + }, + { + "Answer": 10, + "Options": "a ) 5 , b ) 4 , c ) 10 , d ) 11 , e ) 12", + "Correct": "c", + "Explanation": "1 / 6 - 1 / 15 = = > 1 / 10 = = > 10 answer c" + }, + { + "Answer": 24, + "Options": "a ) 76 days , b ) 48 days , c ) 98 days , d ) 31 days , e ) 24 days", + "Correct": "e", + "Explanation": "\"b = 1 / 12 \u2013 1 / 24 = 1 / 24 = > 24 days answer : e\"" + }, + { + "Answer": 351.99999999999994, + "Options": "a ) 277 m , b ) 704 m , c ) 352 m , d ) 288 m , e ) 378 m", + "Correct": "c", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 250 resolutions . = 250 * 2 * 22 / 7 * 22.4 = 35200 cm = 352 m answer : c\"" + }, + { + "Answer": 48.997040236781054, + "Options": "a ) 19 , b ) 27 , c ) 29 , d ) 47 , e ) 49", + "Correct": "e", + "Explanation": "let the length of the train be x m . when a train crosses an electric pole , the distance covered is its own length . so , x = 12 * 36 * 5 / 18 m = 120 m . time taken to cross the platform = ( 120 + 370 ) / 36 * 5 / 18 = 49 min . answer : e" + }, + { + "Answer": 703.9999999999999, + "Options": "a ) 700 , b ) 704 , c ) 704 , d ) 706 , e ) 707", + "Correct": "b", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 500 resolutions . = 500 * 2 * 22 / 7 * 22.4 = 70400 cm = 704 m answer : option b\"" + }, + { + "Answer": 280.03999999999996, + "Options": "a ) 280 , b ) 270 , c ) 260 , d ) 250 , e ) 240", + "Correct": "a", + "Explanation": "\"relative speed = 120 + 80 = 200 km / hr . = 200 * 5 / 18 = 500 / 9 m / sec . let the length of the other train be x m . then , ( x + 220 ) / 9 = 500 / 9 = > x = 280 . answer : option a\"" + }, + { + "Answer": 18, + "Options": "a ) 10 hrs , b ) 15 hrs , c ) 20 hrs , d ) 25 hrs , e ) 18 hrs", + "Correct": "e", + "Explanation": "1 hour he ride 50 km he ride 900 km in = 900 / 50 * 1 = 18 hours answer is e" + }, + { + "Answer": 56, + "Options": "a ) 80 , b ) 90 , c ) 56 , d ) 70 , e ) 60", + "Correct": "c", + "Explanation": "\"c 56 sum = ( n x n ) + n hence , 7 x 7 = 49 + 7 = 56\"" + }, + { + "Answer": 15.99872010239181, + "Options": "a ) 16 seconds , b ) 76 seconds , c ) 26 seconds , d ) 12 seconds , e ) 18 seconds", + "Correct": "a", + "Explanation": "\"speed of the boat downstream = 15 + 3 = 18 kmph = 18 * 5 / 18 = 5 m / s hence time taken to cover 80 m = 80 / 5 = 16 seconds . answer : a\"" + }, + { + "Answer": 4, + "Options": "a ) 4 days , b ) 2 days , c ) 4 1 \u2044 2 days , d ) 3 days , e ) none of these", + "Correct": "a", + "Explanation": "explanationa \u2019 s one day \u2019 s work = 1 \u2044 3 rd work . b \u2019 s one day \u2019 s work = 1 \u2044 6 rd work . ( a + b ) \u2019 s one day \u2019 s work = 1 \u2044 3 + 1 \u2044 6 = 1 \u2044 2 nd work . \u2234 a and b together can complete the work ( knit a pair of socks ) in 2 days . \u2234 they together knit two pair of socks in 4 days . answer a" + }, + { + "Answer": 1583.3626974092558, + "Options": "a ) 2998 , b ) 2799 , c ) 2890 , d ) 1485 , e ) 1584", + "Correct": "e", + "Explanation": "\"22 / 7 * 14 * 3 / 2 * 3 / 2 = 99 m 2 99 * 16 = 1584 answer : e\"" + }, + { + "Answer": 35, + "Options": "a ) 3.6 sec , b ) 18 sec , c ) 35 sec , d ) 72 sec , e ) none of these", + "Correct": "c", + "Explanation": "\"speed of train relative to jogger = ( 45 \u2013 9 ) km / h = 36 km / h = ( 36 \u00d7 5 \u2044 18 ) m / sec = 10 m / sec distance to be covered = ( 230 + 120 ) m = 350 m . \u2234 time taken = ( 350 \u2044 10 ) sec = 35 sec . answer c\"" + }, + { + "Answer": 1, + "Options": "a ) 2 days , b ) 3 days , c ) 1 day , d ) 4 days , e ) 5 days", + "Correct": "c", + "Explanation": "\"the length of cloth painted by one woman in one day = 48 / 4 \u00d7 2 = 6 m no . of days required to paint 36 m cloth by 6 women = 36 / 6 \u00d7 6 = 1 day . c\"" + }, + { + "Answer": 10.799136069114471, + "Options": "a ) 16 seconds , b ) 76 seconds , c ) 10.8 seconds , d ) 12 seconds , e ) 18 seconds", + "Correct": "c", + "Explanation": "\"speed of the boat downstream = 15 + 5 = 20 kmph = 20 * 5 / 18 = 50 / 9 m / s hence time taken to cover 60 m = 60 * 9 / 50 = 10.8 seconds . answer : c\"" + }, + { + "Answer": 250, + "Options": "a ) 250 miles , b ) 240 miles , c ) 230 miles , d ) 235 miles , e ) 75 miles", + "Correct": "a", + "Explanation": "time taken by lewis to reach hyderabad = 350 / 70 = 5 hours in 5 hours , david travels 50 * 5 = 250 miles so distance at which they meet should be greater than 250 miles . only a satisfies . answer is a ." + }, + { + "Answer": 0.47058823529411764, + "Options": "a ) 8 / 17 , b ) 1 / 2 , c ) 8 / 9 , d ) 9 / 8 , e ) 17 / 8", + "Correct": "a", + "Explanation": "at tea factory , let the first shift have 3 employee and each produce 3 widgets , so the total number of widgets produced by the first shift is 3 * 3 = 9 ; then the second shift would have 4 employees and each second shift employee would produce 3 * 2 / 3 = 2 widgets , so the total number of widgets produced by the second shift employees would be 4 * 2 = 8 ; the ratio of the second shift production to the total is 8 / ( 9 + 8 ) = 8 / 17 . answer : a ." + }, + { + "Answer": 11.25, + "Options": "a ) 10 , b ) 12 , c ) 20 , d ) 11.25 , e ) 15", + "Correct": "d", + "Explanation": "\"x ' s 1 day ' s work = 1 / 15 y ' s 1 day ' s work = 1 / 45 ( x + y ) ' s 1 day ' s work = ( 1 / 15 + 1 / 45 ) = 1 / 11.25 both together will finish the work in 11.25 days . correct option is d\"" + }, + { + "Answer": 1000, + "Options": "a ) 500 , b ) 1,600 / 3 , c ) 1,000 , d ) 1,500 , e ) 2,500", + "Correct": "c", + "Explanation": "\"st + 2 s = 5 st t + 2 = 5 t 2 = 4 t t = 1 / 2 we are looking for distance ( d = s * t ) so we need to solve for speed now that we have time . speed y 14 - speed x 13 speed = d / t 3 d / t - d / t = 4000 ( remember , t is the same because both asteroids were observed for the same amount of time ) 2 d = 4000 2 = 2000 d = s * t d = 2000 * ( 1 / 2 ) d = 1000 answer : c\"" + }, + { + "Answer": 50.400000000000006, + "Options": "a ) 88 kmph , b ) 89 kmph , c ) 72 kmph , d ) 50 kmph , e ) 18 kmph", + "Correct": "d", + "Explanation": "\"length = speed * time speed = l / t s = 280 / 20 s = 14 m / sec speed = 14 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 50 kmph answer : d\"" + }, + { + "Answer": 12, + "Options": "a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", + "Correct": "b", + "Explanation": "\"hexagon . it means 6 equal sides . p = 2 + 2 + 2 + 2 + 2 + 2 = 4 + 4 + 4 = 8 + 4 = 12 inches answer b\"" + }, + { + "Answer": 42750, + "Options": "a ) 25650 , b ) 25750 , c ) 26550 , d ) 42750 , e ) 55725", + "Correct": "d", + "Explanation": "\"area = 10 \u00d7 4.75 sq . metre . cost for 1 sq . metre . = rs . 900 hence total cost = 10 \u00d7 4.75 \u00d7 900 = 10 \u00d7 4275 = rs . 42750 answer is d .\"" + }, + { + "Answer": 12, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 8", + "Correct": "d", + "Explanation": "\"suppose they meet x hours after 7 a . m . distance covered by a in x hours = 20 x km . distance covered by b in ( x - 1 ) hours = 25 ( x - 1 ) km . therefore 20 x + 25 ( x - 1 ) = 200 45 x = 225 x = 5 . so , they meet at 12 a . m . answer : option d\"" + }, + { + "Answer": 23.998080153587715, + "Options": "a ) 18.9 sec , b ) 88.9 sec , c ) 22.9 sec , d ) 24.00 sec , e ) 72.0 sec", + "Correct": "d", + "Explanation": "\"d = 110 + 290 = 400 m s = 60 * 5 / 18 = 50 / 3 t = 400 * 3 / 50 = 24.00 sec answer : d\"" + }, + { + "Answer": 15, + "Options": "a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", + "Correct": "b", + "Explanation": "\"45 workers * 8 hours / 30 meters = x * 6 / 30 x = 60 total workers 60 - 45 = 15 new workers the answer is b .\"" + }, + { + "Answer": 660, + "Options": "a ) 820 acres , b ) 660 acres , c ) 620 acres , d ) 720 acres , e ) 920 acres", + "Correct": "b", + "Explanation": "\"12 men 120 acres 36 days 44 men ? 54 days 120 * 44 / 12 * 54 / 36 10 * 44 * 3 / 2 44 * 15 = 660 answer : b\"" + }, + { + "Answer": 75, + "Options": "a ) 135 , b ) 105 , c ) 95 , d ) 75 , e ) 45", + "Correct": "d", + "Explanation": "reb normally drives to work in 45 minutes at an average speed of 40 miles per hour . use formula d = rt car : t 1 : 45 min r 1 : 40 mph d 1 : [ ( 40 * 45 ) / 60 ] = 30 miles bike : t 1 : ? r 2 : 12 - 16 mph d 2 : 08 * d 1 = 24 miles t 1 : [ ( 24 * 60 ) / 12 ] = 120 min ( only 12 mph speed yields an answer given in the choices ) therefore , deb has to leave 120 min - 45 min = 75 min early answer : d" + }, + { + "Answer": 186, + "Options": "a ) 138 , b ) 148 , c ) 150 , d ) 162 , e ) 186", + "Correct": "e", + "Explanation": "\"5 hr = 300 min . if harriet spend equal hrs on each leg she will spend 150 min on each . since speed a - b is less than speed b - a and distance on each leg is the same , time spent on a - b is more than 150 min , which mean we can eliminate ans . a , b and c . now let plug in ans . d or e and verify which one give same distance on each leg . e . t = 186 min * leg a - b - - - > d = 95.186 / 60 = 17670 / 60 * leg b - a - - - - > d = 155 * 114 / 60 = 17670 / 60 so the correct ans . ise\"" + }, + { + "Answer": 52, + "Options": "a ) 18 days , b ) 38 days , c ) 42 days , d ) 48 days , e ) 52 days", + "Correct": "e", + "Explanation": "\"13 * 80 = 20 * x x = 52 days answer : e\"" + }, + { + "Answer": 13.333333333333334, + "Options": "a ) 11 sec . , b ) 15 sec . , c ) 13.3 sec . , d ) 17 sec . , e ) 19 sec .", + "Correct": "c", + "Explanation": "\"speed of the first bullet train = 120 / 10 m / sec = 12 m / sec . speed of the second bullet train = 120 / 20 m / sec = 6 m / sec . relative speed = ( 12 + 6 ) = 18 m / sec . required time = ( 120 + 120 ) / 18 sec = 13.3 sec . c\"" + }, + { + "Answer": 8, + "Options": "a ) 11 , b ) 10 , c ) 9 , d ) 8 , e ) 7", + "Correct": "d", + "Explanation": "\"let sheila earn x dollars per hour so , on monday , wednesday and friday , she earns 8 x each and , on tuesday and thursday , she earns 6 x each in total , over the week she should earn , 3 ( 8 x ) + 2 ( 6 x ) = 36 x she earns $ 288 per week 36 x = 288 x = 8 correct option : d\"" + }, + { + "Answer": 48, + "Options": "a ) 20 seconds , b ) 30 seconds , c ) 40 seconds , d ) 48 seconds , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 460 + 140 = 600 meter time = distance / speed = 600 \u2217 2 / 25 = 48 seconds option d\"" + }, + { + "Answer": 31.5, + "Options": "a ) 30.5 kmph , b ) 31.5 kmph , c ) 32.5 kmph , d ) 33.5 kmph , e ) 21.5 kmph", + "Correct": "b", + "Explanation": "\"s = 140 / 16 * 18 / 5 = 31.5 kmph answer : b\"" + }, + { + "Answer": 174.98560115190784, + "Options": "a ) 175 kmph , b ) 150 kmph , c ) 162 kmph , d ) 145 kmph , e ) 100 kmph", + "Correct": "a", + "Explanation": "\"let the speed of the train be x kmph speed of the train relative to man = x + 5 = ( x + 5 ) * 5 / 18 m / sec 500 / [ ( x + 5 ) * 5 / 18 ] = 10 10 ( x + 5 ) = 1800 x = 175 kmph answer is a\"" + }, + { + "Answer": 7.363047319850775, + "Options": "a ) 3 , b ) 5 , c ) 4.3 , d ) 6.5 , e ) 7.4", + "Correct": "e", + "Explanation": "\"t = 90 / 44 * 18 / 5 = 7.4 sec answer : e\"" + }, + { + "Answer": 6.000000000000001, + "Options": "a ) 8 , b ) 4 , c ) 15 , d ) 6 , e ) 12", + "Correct": "d", + "Explanation": "let the required distance x km difference in the times taken at two speeds = 12 min = 1 / 5 hr ( x / 5 ) - ( x / 6 ) = 1 / 5 x = 6 the required distance is 6 km answer is d" + }, + { + "Answer": 450.55999999999995, + "Options": "a ) 724 m , b ) 704 m , c ) 287 m , d ) 450.6 m , e ) 927 m", + "Correct": "d", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 320 resolutions . = 320 * 2 * 22 / 7 * 22.4 = 45056 cm = 450.6 m answer : d\"" + }, + { + "Answer": 12, + "Options": "a ) 10 , b ) 11 , c ) 12 , d ) 13 , e ) 9", + "Correct": "c", + "Explanation": "\"consider max starts from point a and brad starts from point b and move towards each other . assume they shall meet at point o after time ' t ' . the question asks us to find oa . from the question stem we can make out : - distance oa = 50 km - distance ob = > 2 xt = 36 - 4 xt ( i . e distance = speed x time ) = > 6 t = 36 hence t = 6 oa = 2 x 6 = 12 km answer : c\"" + }, + { + "Answer": 70, + "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 70 %", + "Correct": "e", + "Explanation": "\"answer : e 252 \u00b0 divided by 360 \u00b0 equals 0.7 , therefore the sector is equal to 70 % of the total\"" + }, + { + "Answer": 6.000000000000028, + "Options": "a ) 3 , b ) 7 , c ) 8 , d ) 6 , e ) 0", + "Correct": "d", + "Explanation": "a : b = 100 : 90 . a : c = 100 : 87 . \\ inline \\ fn _ jvn { \\ color { black } \\ therefore \\ frac { b } { c } = \\ left ( \\ frac { b } { a } \\ times \\ frac { a } { c } \\ right ) = \\ left ( \\ frac { 90 } { 100 } \\ times \\ frac { 100 } { 87 } \\ right ) = \\ frac { 30 } { 29 } } when b runs 30 m , c runs 29 m . when b runs 180 m , c runs \\ inline \\ fn _ jvn { \\ color { black } \\ left ( \\ frac { 29 } { 30 } \\ times 180 \\ right ) m } = 174 m \\ inline \\ fn _ jvn { \\ color { blue } \\ therefore } b beats c by ( 180 - 174 ) m = 6 m . answer : d ) 6 m" + }, + { + "Answer": 1, + "Options": "a ) 0.1 , b ) 0.6 , c ) 1 , d ) 1.2 , e ) 2", + "Correct": "c", + "Explanation": "\"option c 10 + 40 t = 50 t t = 1\"" + }, + { + "Answer": 33, + "Options": "a ) 47 sec , b ) 40 sec , c ) 45 sec , d ) 33 sec , e ) 35 sec", + "Correct": "d", + "Explanation": "b covers 35 m in 7 seconds b take time = ( 200 * 7 ) / 35 = 40 a takes time = 40 - 7 = 33 sec answer : d" + }, + { + "Answer": 84.03380995252074, + "Options": "a ) 66 , b ) 84 , c ) 80 , d ) 72 , e ) 68", + "Correct": "b", + "Explanation": "\"let the length of the wire be h . radius = 1 / 2 mm = 1 / 20 cm . then , ( 22 / 7 ) x ( 1 / 20 ) x ( 1 / 20 ) x h = 66 . h = ( 66 x 20 x 20 x 7 ) / 22 = 8400 cm = 84 m . answer b\"" + }, + { + "Answer": 160, + "Options": "a ) 180 km , b ) 200 km , c ) 160 km , d ) 220 km , e ) 240 km", + "Correct": "c", + "Explanation": "\"t = 8 hrs d = t * s = 20 * 8 = 160 km answer is c\"" + }, + { + "Answer": 72, + "Options": "a ) 87 kmph , b ) 28 kmph , c ) 72 kmph , d ) 18 kmph , e ) 29 kmph", + "Correct": "c", + "Explanation": "\"length = speed * time speed = l / t s = 400 / 20 s = 20 m / sec speed = 20 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 72 kmph answer : c\"" + }, + { + "Answer": 20, + "Options": "a ) 10 sec , b ) 30 sec , c ) 40 sec , d ) 20 s , e ) 50 sec", + "Correct": "d", + "Explanation": "d relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 120 + 280 = 400 m . the time required = d / s = 400 / 20 = 20 sec ." + }, + { + "Answer": 80, + "Options": "a ) 72 , b ) 74 , c ) 76 , d ) 78 , e ) 80", + "Correct": "e", + "Explanation": "if the two trains cover a total distance d , then train x travels ( 4 / 9 ) * d while train y travels ( 5 / 9 ) * d . if the trains travel 180 km to the meeting point , then train x travels ( 4 / 9 ) * 180 = 80 km . the answer is e ." + }, + { + "Answer": 2, + "Options": "a ) 3 times , b ) 2 times , c ) 4 times , d ) 5 times , e ) once", + "Correct": "b", + "Explanation": "2 times answer : b" + }, + { + "Answer": 14.039999999999997, + "Options": "a ) 7.2 kg . , b ) 10.8 kg . , c ) 14.04 kg . , d ) 18.0 kg , e ) none", + "Correct": "c", + "Explanation": "\"answer \u2235 weight of 10 m long rod = 23.4 kg \u2234 weight of 1 m long rod = 23.4 / 10 kg \u2234 weight of 6 m long rod = 23.4 x 6 / 10 = 14.04 kg option : c\"" + }, + { + "Answer": 96, + "Options": "a ) 48 km , b ) 56 km , c ) 64 km , d ) 96 km , e ) 106 km", + "Correct": "d", + "Explanation": "explanation : let the distance be ' d ' and the speed be ' x ' kmph . d / x + 4 = d / x - 72 / 60 d / x - d / ( x - y ) = 6 / 5 = d ( x + 4 - x ) / x ( x - 4 ) = 6 / 5 \u2234 d / x ( x + 4 ) = 3 / 10 . . . . . . ( i ) d / x - 4 - d / x = 2 \u2234 dx - dx + 4 d / x ( x - 4 ) = 2 \u2234 d / x ( x - 4 ) = 1 / 2 . . . . . ( ii ) from equation ( i ) and ( ii ) : 3 / 10 x ( x + 4 ) = 1 / 2 x ( x - 4 ) \u2234 3 ( x + 4 ) = 5 ( x - 4 ) = 3 x + 12 = 5 x - 20 2 x = 32 \u2234 x = 16 kmn - 1 \u2234 d = x ( x - 4 ) / 2 = 16 x 12 / 2 = 16 x 6 = 96 km answer : option d" + }, + { + "Answer": 90, + "Options": "a ) 90 , b ) 95 , c ) 100 , d ) 105 , e ) 110", + "Correct": "a", + "Explanation": "\"length = speed * time speed = l / t s = 3000 / 120 s = 25 m / sec speed = 25 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 90 kmph answer : a\"" + }, + { + "Answer": 63.829787234042556, + "Options": "a ) 63.83 , b ) 111.67 , c ) 111.64 , d ) 111.11 , e ) 101.12", + "Correct": "a", + "Explanation": "\"a runs 1000 m while b runs 940 m and c runs 880 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 880 ) / 940 = 936.17 m . b can give c = 1000 - 936.17 = 63.83 m . answer : a\"" + }, + { + "Answer": 5, + "Options": "a ) 5 , b ) 7 , c ) 8 , d ) 10 , e ) 12", + "Correct": "a", + "Explanation": "\"the distance traveled by ferry p is 24 km . then the distance traveled by ferry q is 72 km . ferry q travels at a speed of 9 kph . the time of the journey for ferry q is 72 / 9 = 8 hours , which is 5 hours more than ferry p . the answer is a .\"" + }, + { + "Answer": 36, + "Options": "a ) 24 , b ) 28 , c ) 32 , d ) 36 , e ) 40", + "Correct": "d", + "Explanation": "\"let t = usual time = distance / usual speed t + 9 = distance / ( 4 * usual speed / 5 ) = ( 5 * distance ) / ( 4 * usual speed ) = 5 t / 4 t = 36 the answer is d .\"" + }, + { + "Answer": 62.505, + "Options": "a ) 60 m , b ) 65 m , c ) 63.5 m , d ) 64 m , e ) 62.5 m", + "Correct": "e", + "Explanation": "explanation : d = 75 * 5 / 18 * 3 = 62.5 m answer : option e" + }, + { + "Answer": 2.9999999999999987, + "Options": "a ) 1 hour , b ) 30 minutes , c ) 3 hours , d ) 2 hours 30 min , e ) 2 hours", + "Correct": "c", + "Explanation": "\"new time = d / ( 6 v / 7 ) = 7 / 6 * usual time 30 minutes represents 1 / 6 of the usual time . the usual time is 3 hours . the answer is c .\"" + }, + { + "Answer": 0.02, + "Options": "a ) 18 / 79 , b ) 1 / 6 , c ) 1 / 25 , d ) 1 / 50 , e ) 1 / 900", + "Correct": "d", + "Explanation": "if it takes 10 minutes to inspect one vehicle , the # of vehicles that can be inspected in 3 hours ( 180 minutes ) = 180 / 10 = 18 . hence , for calculating the probability that the police will find the transmitter within three hours , the favorable cases = 18 . now , we need to figure out the total # of cases . the total # of cases = total # of such cars possible . the details given about the car is that it starts with 79 , which leaves 2 more digits , both of which can be filled by all 10 numbers ( 0 - 9 ) . in addition , we have 3 letters , each of which can be filled by any from the set { a , b , c } . hence the total # of such cars possible = 10 * 10 * 3 * 3 = 900 so , the probability that the police will find the transmitter within three hours = 18 / 900 = 1 / 50 . option d" + }, + { + "Answer": 0.47058823529411764, + "Options": "a ) 8 / 17 , b ) 1 / 2 , c ) 8 / 9 , d ) 9 / 8 , e ) 17 / 8", + "Correct": "a", + "Explanation": "at milk factory , let the first shift have 3 employee and each produce 3 widgets , so the total number of widgets produced by the first shift is 3 * 3 = 9 ; then the second shift would have 4 employees and each second shift employee would produce 3 * 2 / 3 = 2 widgets , so the total number of widgets produced by the second shift employees would be 4 * 2 = 8 ; the ratio of the second shift production to the total is 8 / ( 9 + 8 ) = 8 / 17 . answer : a ." + }, + { + "Answer": 180, + "Options": "a ) 270 , b ) 277 , c ) 187 , d ) 180 , e ) 271", + "Correct": "d", + "Explanation": "\"relative speed = ( 72 - 36 ) * 5 / 18 = 2 * 5 = 10 mps . distance covered in 18 sec = 18 * 10 = 180 m . the length of the faster train = 180 m . answer : d\"" + }, + { + "Answer": 2, + "Options": "a ) 2 minutes , b ) 5 minutes , c ) 7 minutes , d ) 3 minutes , e ) 4 minutes", + "Correct": "a", + "Explanation": "\"earl takes 1 min . for 36 envelopes . ellen takes 3 / 2 mins for the same . so ellen can stuff ( ( 36 ) / ( 3 / 2 ) ) in 1 min . i . e . , 24 envelopes a min . so both of them when work together can stuff 36 + 24 = 60 envelopes in 1 min . for 120 envelopes they will take 120 / 60 mins . i . e . , 2 mins . answer : a\"" + }, + { + "Answer": 100, + "Options": "a ) 270 , b ) 288 , c ) 100 , d ) 299 , e ) 126", + "Correct": "c", + "Explanation": "\"relative speed = ( 72 - 36 ) * 5 / 18 = 2 * 5 = 10 mps . distance covered in 27 sec = 10 * 10 = 100 m . the length of the faster train = 100 m . answer : c\"" + }, + { + "Answer": 58.02564102564102, + "Options": "a ) 22 , b ) 75 , c ) 60 , d ) 58 , e ) 11", + "Correct": "d", + "Explanation": "\"sp of 1 m of cloth = 6788 / 78 = rs . 87 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 87 - rs . 29 = rs . 58 . answer : d\"" + }, + { + "Answer": 26, + "Options": "a ) $ 30 , b ) $ 54 , c ) $ 26 , d ) $ 12 , e ) $ 9.60", + "Correct": "c", + "Explanation": "3.25 * 8 = 26 . answer is c ." + }, + { + "Answer": 3744, + "Options": "a ) 60 , b ) 61.2 , c ) 3,744 , d ) 3,600 , e ) 3,672", + "Correct": "c", + "Explanation": "\"moon revolves around the earth at a speed of 1.02 kilometers per second . one hour equal to 60 minutes . one minute equals to 60 seconds . so one hour equals to 3600 seconds . so one hour , speed = 1.04 * 3600 = 3744 kilometers per hour . option c is correct\"" + }, + { + "Answer": 30, + "Options": "a ) 20 , b ) 22.5 , c ) 30 , d ) 37.5 , e ) 45", + "Correct": "c", + "Explanation": "\"as the ratio of the rates of a and b is 2 to 3 then the distance covered at the time of the meeting ( so after traveling the same time interval ) would also be in that ratio , which means that x would cover 2 / ( 2 + 3 ) = 2 / 5 of 75 miles : 75 * 2 / 5 = 30 miles . answer : c .\"" + }, + { + "Answer": 24, + "Options": "a ) 15 , b ) 24 , c ) 17 , d ) 19 , e ) none of these", + "Correct": "b", + "Explanation": "\"due to stoppages , it covers 30 km less . time taken to cover 30 km = ( ( 30 / 75 ) \u00e3 \u2014 60 ) = 24 min . option ( b ) is correct\"" + }, + { + "Answer": 5, + "Options": "a ) 4 hours , b ) 2 hours , c ) 2 hours 30 minutes , d ) 5 hours , e ) 3 hours 20 minutes", + "Correct": "d", + "Explanation": "relative speed = 43 - 37 = 6 miles per hour dist required = 13 + 17 = 30 miles time taken to overtake = 30 / 6 = 5 hours . d is the answer ." + }, + { + "Answer": 110, + "Options": "a ) 90 hours , b ) 80 hours , c ) 50 hours , d ) 120 hours , e ) 110 hours", + "Correct": "e", + "Explanation": "part filled without leak in 1 hour = 1 / 10 part filled with leak in 1 hour = 1 / 11 work done by leak in 1 hour = 1 / 10 \u00e2 \u02c6 \u2019 1 / 11 = 110 hours answer : e" + }, + { + "Answer": 36, + "Options": "a ) 36 , b ) 87 , c ) 40 , d ) 37 , e ) 86", + "Correct": "a", + "Explanation": "\"let the leak can empty the full tank in x hours 1 / 12 - 1 / x = 1 / 18 = > 1 / x = 1 / 12 - 1 / 18 = ( 3 - 2 ) / 36 = 1 / 36 = > x = 36 . answer : a\"" + }, + { + "Answer": 18, + "Options": "a ) 11 , b ) 8 , c ) 37 , d ) 15 , e ) 18", + "Correct": "e", + "Explanation": "e 18 explanation : more minutes implies more tea . more women implies more tea . the time become twice ( 3 minutes / 1.5 minutes ) . women become six times ( 9 / 1.5 ) . number of tea = 2 * 6 * original ( 1.5 )" + }, + { + "Answer": 15, + "Options": "a ) 10 , b ) 15 , c ) 14 , d ) 16 , e ) 17", + "Correct": "b", + "Explanation": "\"11 trees have 10 gaps between them , required distance ( 150 / 10 ) = 15 b\"" + }, + { + "Answer": 225, + "Options": "a ) 377 , b ) 225 , c ) 237 , d ) 245 , e ) 267", + "Correct": "b", + "Explanation": "\"speed = 45 * 5 / 18 = 25 / 2 m / sec . time = 30 sec let the length of bridge be x meters . then , ( 150 + x ) / 30 = 25 / 2 x = 225 m . answer : b\"" + }, + { + "Answer": 19, + "Options": "a ) 19 sec , b ) 15 sec , c ) 16 sec , d ) 20 sec , e ) none", + "Correct": "a", + "Explanation": "\"sol . speed = ( 54 x 5 / 18 ) m / sec . = 15 m / sec . time taken = ( 285 x 1 / 15 ) sec = 19 sec answer a\"" + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 28 , c ) 26 , d ) 19 , e ) 112", + "Correct": "a", + "Explanation": "explanation : daughter \u2019 s 1 day \u2019 s work = ( 1 / 3 \u2013 1 / 4 ) = 1 / 12 daughter alone can do the work in 12 / 1 = 12 days answer : a" + }, + { + "Answer": 432, + "Options": "a ) 432 , b ) 433 , c ) 434 , d ) 435 , e ) 436", + "Correct": "a", + "Explanation": "the most important property of lcm ( the least common multiple ) and gcd ( the greatest common divisors ) is : for any positive integers x and y , x \u2217 y = gcd ( x , y ) \u2217 lcm ( x , y ) so ab = 72 * 6 = 432 . answer : a" + }, + { + "Answer": 8, + "Options": "a ) 22 seconds , b ) 12 seconds , c ) 10 seconds , d ) 8 seconds , e ) 28 seconds", + "Correct": "d", + "Explanation": "\"b runs 56 m in 7 sec . = > b runs 120 m in 7 / 56 * 120 = 15 seconds since a beats b by 7 seconds , a runs 120 m in ( 15 - 7 ) = 8 seconds hence , a ' s time over the course = 8 seconds answer : d\"" + }, + { + "Answer": 170, + "Options": "a ) 266 sec , b ) 170 sec , c ) 776 sec , d ) 166 sec , e ) 997 sec", + "Correct": "b", + "Explanation": "\"l = s * t s = 1200 / 120 s = 10 m / sec . total length ( d ) = 1700 m t = d / s t = 1700 / 10 t = 170 sec answer : b\"" + }, + { + "Answer": 32, + "Options": "a ) 32 km , b ) 20 km , c ) 65 km , d ) 18 km , e ) 16 km", + "Correct": "a", + "Explanation": "\"distance = relative speed * time = ( 5 + 3 ) * 4 = 32 km [ they are travelling in the opposite direction , relative speed = sum of the speeds ] . answer : a\"" + }, + { + "Answer": 130, + "Options": "a ) 100 m , b ) 120 m , c ) 130 m , d ) 150 m , e ) none of these", + "Correct": "c", + "Explanation": "explanation : solution : relative speed = ( 9 - 8 ) = 1 km / hr . distance covered in 3 minutes = ( 1 * 3 / 60 ) km = 1 / 20 km = 50 m . . ' . distance between the criminal and policeman = ( 180 - 50 ) m = 130 m . answer : c" + }, + { + "Answer": 220.03999999999996, + "Options": "a ) 210 m , b ) 220 m , c ) 230 m , d ) 240 m , e ) 250 m", + "Correct": "b", + "Explanation": "\"relative speeds = ( 120 + 80 ) km / hr = 200 km / hr = ( 200 * 5 / 18 ) m / s = ( 500 / 9 ) m / s let length of train be xm x + 280 / 9 = 500 / 9 x = 220 ans is 220 m answer : b\"" + }, + { + "Answer": 10, + "Options": "a ) 8 days , b ) 10 days , c ) 12 days , d ) 13 days , e ) 14 days", + "Correct": "b", + "Explanation": "\"let the total units of work to be completed be 60 . units of work completed by x in a single day = 60 / 20 = 3 units . units of work completed by y in a single day = 60 / 12 = 5 units . thus , 8 units of work can be done by them in a single day working together . x works for 4 days alone = 12 units of work . remaining work = ( 60 - 12 ) = 48 units . now , x and y works together to complete the remaining work = 48 / 8 = 6 days hence , total days taken to complete the work = ( 6 + 4 ) = 10 days . answer : b\"" + }, + { + "Answer": 35, + "Options": "a ) 35 days , b ) 10 days , c ) 14 days , d ) 22 days , e ) 26 days", + "Correct": "a", + "Explanation": "\"explanation : work done by p in 1 day = 1 / 80 work done by q in 1 day = 1 / 48 work done by p in 8 days = 8 \u00e3 \u2014 ( 1 / 80 ) = 1 / 10 remaining work = 1 \u00e2 \u20ac \u201c 1 / 10 = 9 / 10 work done by p and q in 1 day = 1 / 80 + 1 / 48 = 1 / 30 number of days p and q take to complete the remaining work = ( 9 / 10 ) / ( 1 / 30 ) = 27 total days = 8 + 27 = 35 answer : option a\"" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 8 , c ) 5 , d ) 6 , e ) 7", + "Correct": "a", + "Explanation": "explanation : ( a + b ) one day work = 1 / 6 now a does half of the work in 3 days so a can complete the whole work in 6 days a \u2019 s one day work = 1 / 6 b \u2019 s one day work = 1 / 6 - 1 / 6 = 1 / 6 b alone can complete the work in 6 days so half of the work in 3 days answer : option a" + }, + { + "Answer": 13.998880089592832, + "Options": "a ) 22 seconds , b ) 65 seconds , c ) 78 seconds , d ) 12 seconds , e ) 14 seconds", + "Correct": "e", + "Explanation": "\"speed of the boat downstream = 15 + 3 = 18 kmph = 18 * 5 / 18 = 5 m / s hence time taken to cover 60 m = 70 / 5 = 14 seconds . answer : e\"" + }, + { + "Answer": 16, + "Options": "a ) 16 min , b ) 26 min , c ) 34 min , d ) 20 min , e ) 12 min", + "Correct": "a", + "Explanation": "\"speed ratio = 1 : 4 / 5 = 5 : 4 time ratio = 4 : 5 1 - - - - - - - - 4 4 - - - - - - - - - ? \u00e8 16 answer : a\"" + }, + { + "Answer": 135, + "Options": "a ) 99 , b ) 18 , c ) 135 , d ) 17 , e ) 12", + "Correct": "c", + "Explanation": "\"30 * 18 = 2 * 2 * x = > x = 135 answer : c\"" + }, + { + "Answer": 224, + "Options": "a ) 220 km , b ) 224 km , c ) 230 km , d ) 234 km , e ) 255 km", + "Correct": "b", + "Explanation": "\"( 1 / 2 ) x / 21 + ( 1 / 2 ) x / 24 = 10 x / 21 + x / 24 = 20 15 x = 168 x 20 x = [ 168 x 20 / 15 ] = 224 km answer is b\"" + }, + { + "Answer": 25, + "Options": "a ) 25 , b ) 30 , c ) 35 , d ) 24 , e ) 96", + "Correct": "a", + "Explanation": "\"5 machines would produce 100 units in 50 hours . increasing the amount of machines by 2 would mean dividing 50 hours by 2 . 50 / 2 = 25 answer : a\"" + }, + { + "Answer": 666, + "Options": "a ) s . 666 , b ) s . 1140 , c ) s . 999 , d ) s . 1085 , e ) s . 1020", + "Correct": "a", + "Explanation": "\"a 2 = 3136 = > a = 56 56 * 4 * 3 = 672 \u2013 6 = 666 * 1.0 = 666 answer : a\"" + }, + { + "Answer": 25, + "Options": "a ) 25 km , b ) 30 km , c ) 40 km , d ) 50 km , e ) 60 km", + "Correct": "a", + "Explanation": "\"number of stops in an hour : 60 / 5 = 12 distance between stops : 60 / 12 = 5 km distance between yahya ' s house and pinedale mall : 5 x 5 = 25 km imo , correct answer is ` ` a . ' '\"" + }, + { + "Answer": 84.02817496043394, + "Options": "['a ) 84', 'b ) 86', 'c ) 82', 'd ) 80', 'e ) none of them']", + "Correct": "a", + "Explanation": "let inner radius be r metres . then , 2 ( 22 / 7 ) r = 440 = r = ( 440 x ( 7 / 44 ) ) = 70 m . radius of outer circle = ( 70 + 14 ) m = 84 m . answer is a" + }, + { + "Answer": 132.73228961416876, + "Options": "a ) 132.00 square meter , b ) 132.04 square meter , c ) 132.78 square meter , d ) 132.24 square meter , e ) 113.43 square meter", + "Correct": "c", + "Explanation": "\"diameter = 13 meter . radius = diameter / 2 . = 13 / 2 . = 6.5 meter . area of a circle = \u00ef \u20ac r 2 . here , pi ( \u00ef \u20ac ) = 3.14 meter , radius ( r ) = 6.5 area of a circle = 3.14 \u00e3 \u2014 6.5 \u00e3 \u2014 6.5 . = 3.14 \u00e3 \u2014 42.25 . = 132.78 square meter answer : c\"" + }, + { + "Answer": 344.03999999999996, + "Options": "a ) 308 , b ) 320 , c ) 332 , d ) 344 , e ) 356", + "Correct": "d", + "Explanation": "\"speed = 45 km / h = 45000 m / 3600 s = 25 / 2 m / s in 40 seconds , the train can travel 25 / 2 * 40 = 500 meters 500 = length of train + length of bridge length of bridge = 500 - 156 = 344 meters the answer is d .\"" + }, + { + "Answer": 480, + "Options": "a ) 120 , b ) 240 , c ) 360 , d ) 1200 , e ) 480", + "Correct": "e", + "Explanation": "\"10 men 120 acres 15 days 20 men ? 30 days 120 * 20 / 10 * 30 / 15 120 * 2 * 2 120 * 4 = 480 answer : e\"" + }, + { + "Answer": 82.5, + "Options": "a ) 89 kmph , b ) 82.5 kmph , c ) 75 kmph , d ) 65 kmph , e ) 77 kmph", + "Correct": "b", + "Explanation": "\"s = ( 90 + 75 ) / 2 = 82.5 kmph b\"" + }, + { + "Answer": 33.99999999999999, + "Options": "a ) 17 hr , b ) 19 hr , c ) 10 hr , d ) 34 hr , e ) 36 hr", + "Correct": "d", + "Explanation": "\"work done by the tank in 1 hour = ( 1 / 2 - 2 1 / 8 ) = 1 / 34 leak will empty the tank in 34 hrs . answer : d\"" + }, + { + "Answer": 50, + "Options": "a ) 50 sec , b ) 66 sec , c ) 48 sec , d ) 55 sec , e ) 45 sec", + "Correct": "a", + "Explanation": "relative speed = 40 + 35 = 75 km / hr . 75 * 5 / 18 = 125 / 6 m / sec . distance covered = 3125 + 3125 = 6250 m . required time = 6250 * 6 / 125 = 50 sec . answer : a" + }, + { + "Answer": 150, + "Options": "a ) 299 m , b ) 777 m , c ) 200 m , d ) 167 m , e ) 150 m", + "Correct": "e", + "Explanation": "\"2 ( l + 100 ) = 500 = > l = 150 m answer : e\"" + }, + { + "Answer": 30.000000000000007, + "Options": "a ) 17 hr , b ) 19 hr , c ) 10 hr , d ) 24 hr , e ) 30 hr", + "Correct": "e", + "Explanation": "\"work done by the tank in 1 hour = ( 1 / 2 - 2 1 / 7 ) = 1 / 30 leak will empty the tank in 30 hrs . answer : e\"" + }, + { + "Answer": 0.5797101449275363, + "Options": "a ) 7 / 12 , b ) 8 / 41 , c ) 9 / 348 , d ) 1 / 8 , e ) 40 / 69", + "Correct": "e", + "Explanation": "\"- - - - - - - - - ui - - - - - - - - - - - - - - - - nui - - - - - - - total pt - - - - ( 12.5 / 100 ) * 104 = 13 - - - - - - - - - - - - - 54 npt - - - 104 - 13 - - - - - - - - - - - - - - x - - - - - - - - 291 total - - 104 - - - - - - - - - - - - - - - - - - - - - - - - - - - - 345 we have to find not part time and not uninsured . in other words not part time and insured = x / 345 = ( 291 - 104 + 13 ) / 345 = 40 / 69 answer is e .\"" + }, + { + "Answer": 20, + "Options": "a ) 12 , b ) 15 , c ) 18 , d ) 20 , e ) 25", + "Correct": "d", + "Explanation": "\"this is a very specific format that has appeared in a handful of real gmat questions , and you may wish to learn to recognize it : here we have a * fixed * distance , and we are given the difference between the times and speeds of two things that have traveled that distance . this is one of the very small number of question formats where backsolving is typically easier than solving directly , since the direct approach normally produces a quadratic equation . say team w ' s speed was s . then team w ' s time is 300 / s . team a ' s speed was then s + 5 , and team a ' s time was then 300 / ( s + 5 ) . we need to find an answer choice for s so that the time of team a is 3 less than the time of team w . that is , we need an answer choice so that 300 / ( s + 5 ) = ( 300 / s ) - 3 . you can now immediately use number properties to zero in on promising answer choices : the times in these questions will always work out to be integers , and we need to divide 300 by s , and by s + 5 . so we want an answer choice s which is a factor of 300 , and for which s + 5 is also a factor of 300 . so you can rule out answers a and c immediately , since s + 5 wo n ' t be a divisor of 300 in those cases ( sometimes using number properties you get to the correct answer without doing any other work , but unfortunately that ' s not the case here ) . testing the other answer choices , if you try answer d , you find the time for team w is 15 hours , and for team a is 12 hours , and since these differ by 3 , as desired , d is correct .\"" + }, + { + "Answer": 225, + "Options": "a ) 200 km , b ) 250 km , c ) 224 km , d ) 255 km , e ) 260 km", + "Correct": "c", + "Explanation": "consider x - - > ( 1 / 2 ) x / 21 + ( 1 / 2 ) x / 24 = 10 = = > x / 21 + x / 24 = 20 15 x = 168 * 20 = = > 224 km answer c" + }, + { + "Answer": 600, + "Options": "a ) 1 km , b ) 500 mts , c ) 600 mts , d ) 2 km , e ) 250 mts", + "Correct": "c", + "Explanation": "\"let the each distance be x km total distance = 3 x then total time , ( x / 2 ) + ( x / 4 ) + ( x / 6 ) = 11 / 60 x = 0.2 total distance = 3 * 0.2 = 0.6 km = 600 meters correct option is c\"" + }, + { + "Answer": 36, + "Options": "a ) 48 days , b ) 36 days , c ) 28 days , d ) 32 days , e ) 22 days", + "Correct": "b", + "Explanation": "detailed solution let us say a and b split their share of the task and started doing their respective shares simultaneously . let \u2019 s say a takes a days to finish the task . therefore , b takes a + 12 days to finish the entire task . a has to finish 40 % of the task , since b is doing the rest . so a will only take 2 a / 5 number of days . b only has to finish 60 % of the task , so b will take ( 3 ( a + 12 ) / 5 ) number of days . but as we know , b starts working along with a and finishes 12 days after a stops working . so , ( 3 ( a + 12 ) / 5 ) = ( ( 2 a ) / 5 + 12 ) 3 a + 36 = 2 a + 60 a = 24 ; b = 36 days . answer choice b" + }, + { + "Answer": 195, + "Options": "a ) 145 , b ) 150 , c ) 195 , d ) 160 , e ) 130", + "Correct": "c", + "Explanation": "1 hr = 20 percent . thus 15 min = 5 percent . now to charge 65 percent 195 min . answer : c" + }, + { + "Answer": 4, + "Options": "a ) 7 meters , b ) 9 meters , c ) 4 meters , d ) 5 meters , e ) 3 meters", + "Correct": "c", + "Explanation": "\"400 rev / minute = 400 * 60 rev / 60 minutes = 24,000 rev / hour 24,000 * c = 96,000 m : c is the circumference c = 4 meters correct answer c\"" + }, + { + "Answer": 127.5, + "Options": "a ) 127.6 , b ) 127.5 , c ) 127.0 , d ) 127.2 , e ) 127.3", + "Correct": "b", + "Explanation": "when a runs 1000 m , b runs 900 m and when b runs 800 m , c runs 700 m . when b runs 900 m , distance that c runs = ( 900 * 700 ) / 800 = 6300 / 8 = 787.5 m . in a race of 1000 m , a beats c by ( 1000 - 787.5 ) = 212.5 m to c . in a race of 600 m , the number of meters by which a beats c = ( 600 * 212.5 ) / 1000 = 127.5 m . answer : ob" + }, + { + "Answer": 266, + "Options": "a ) 235 cm 2 , b ) 260 cm 2 , c ) 266 cm 2 , d ) 270 cm 2 , e ) 280 cm 2", + "Correct": "c", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 14 ) = 266 cm 2 answer : c\"" + }, + { + "Answer": 290.04159999999996, + "Options": "a ) 230 m , b ) 270 m , c ) 643 m , d ) 832 m , e ) 290 m", + "Correct": "e", + "Explanation": "\"speed = ( 72 x 5 / 18 ) m / sec = 20 m / sec . time = 26 sec . let the length of the train be x metres . then , x + 230 / 26 = 20 x + 230 = 520 x = 290 . answer : e\"" + }, + { + "Answer": 44.99640028797696, + "Options": "a ) 48 , b ) 36 , c ) 26 , d ) 11 , e ) 45", + "Correct": "e", + "Explanation": "\"explanation : here distance d = 750 mts speed s = 63 - 3 = 60 kmph = 60 x 5 / 18 m / s time t = = 45 sec . answer : e\"" + }, + { + "Answer": 2, + "Options": "a ) 2 hours , b ) 4 hours , c ) 5 hours , d ) 6 hours , e ) 7 hours", + "Correct": "a", + "Explanation": "\"explanation : speed of the boat in still water = 24 km / hr speed of the stream = 4 km / hr speed downstream = ( 22 + 5 ) = 28 km / hr distance travelled downstream = 56 km time taken = distance / speed = 56 / 28 = 2 hours answer : option a\"" + }, + { + "Answer": 400.0000000000002, + "Options": "a ) rs . 450 , b ) rs . 600 , c ) rs . 800 , d ) rs . 375 , e ) rs . 400", + "Correct": "e", + "Explanation": "\"c ' s 1 day ' s work = 1 / 3 - ( 1 / 6 + 1 / 8 ) = 1 / 24 . a ' s wages : b ' s wages : c ' s wages = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 . c ' s share ( for 3 days ) = rs . ( 3 x 1 / 24 x 3200 ) = rs . 400 . correct option ` ` e ' ' .\"" + }, + { + "Answer": 0.6666666666666667, + "Options": "a ) 5 / 6 , b ) 3 / 4 , c ) 2 / 3 , d ) 1 / 2 , e ) 3 / 5", + "Correct": "c", + "Explanation": "\"the searchlight completes one revolution every 30 seconds . the probability that the man ' s area will be lit up is 10 / 30 = 1 / 3 . the probability that he will stay in the dark is 1 - 1 / 3 = 2 / 3 the answer is c .\"" + }, + { + "Answer": 120, + "Options": "a ) 45 , b ) 88 , c ) 120 , d ) 152 , e ) 154", + "Correct": "c", + "Explanation": "\"the time it takes bob to drive to city b is 30 / 40 = 0.75 hours . alice needs to take less than 0.25 hours for the trip . alice needs to exceed a constant speed of 30 / 0.25 = 120 miles per hour . the answer is c .\"" + }, + { + "Answer": 111.12, + "Options": "a ) 110.111 m , b ) 121.111 m , c ) 111.11 m , d ) 141.111 m , e ) 181.111 m", + "Correct": "c", + "Explanation": "\"d = 80 * 5 / 18 * 5 = 111.11 m answer : c\"" + }, + { + "Answer": 5007.224931391597, + "Options": "['a ) 1000', 'b ) 2000', 'c ) 3000', 'd ) 4000', 'e ) 5000']", + "Correct": "e", + "Explanation": "volume of the small cube = 0.03 m ^ 3 so side of this cube = cubic root of 0.03 m ^ 3 = . 312 m so after removing the outermost layer the dimensions for the inner cuboid will be ( 5 - 2 * 0.312 ) , ( 6 - 2 * 0.312 ) , ( 7 - 2 * 0.312 ) so total volume will be ( 4.376 ) * ( 5.376 ) * ( 6.376 ) = 150 m ^ 3 so no of cubes will be 150 / 0.03 = 5000 so we can remove 5000 inner cubes answer : e" + }, + { + "Answer": 190, + "Options": "a ) 299 , b ) 190 , c ) 276 , d ) 270 , e ) 281", + "Correct": "b", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec . time = 22 sec . let the length of the train be x meters . then , ( x + 250 ) / 22 = 20 x = 190 m . answer : b\"" + }, + { + "Answer": 54.995600351971845, + "Options": "a ) 55 , b ) 99 , c ) 88 , d ) 76 , e ) 12", + "Correct": "a", + "Explanation": "\"the distance to be covered = sum of their lengths = 250 + 300 = 550 m . relative speed = 72 - 36 = 36 kmph = 36 * 5 / 18 = 10 mps . time required = d / s = 550 / 10 = 55 sec . answer : a\"" + }, + { + "Answer": 5.999520038396929, + "Options": "a ) 7 sec , b ) 6 sec , c ) 4 sec , d ) 2 sec , e ) 9 sec", + "Correct": "b", + "Explanation": "\"speed of train relative to man = 60 + 6 = 66 km / hr . = 66 * 5 / 18 = 55 / 3 m / sec . time taken to pass the men = 110 * 3 / 55 = 6 sec . answer : b\"" + }, + { + "Answer": 55, + "Options": "a ) 55 m , b ) 60 m , c ) 80 m , d ) 82 m , e ) 84 m", + "Correct": "a", + "Explanation": "\"let breadth = x metres . then , length = ( x + 10 ) metres . perimeter = 5300 m = 200 m . 26.50 2 [ ( x + 10 ) + x ] = 200 2 x + 10 = 100 2 x = 90 x = 45 . hence , length = x + 10 = 55 m a\"" + }, + { + "Answer": 30, + "Options": "a ) 52 kmph , b ) 56 kmph , c ) 58 kmph , d ) 30 kmph , e ) 34 kmph", + "Correct": "d", + "Explanation": "\"explanation : relative speed = 300 / 12 m / sec = ( ( 300 / 12 ) \u00d7 ( 18 / 5 ) ) kmph = 90 kmph . speed of goods train = ( 90 - 60 ) kmph = 30 kmph answer : option d\"" + }, + { + "Answer": 3.5, + "Options": "a ) 8 mph , b ) 5.25 mph , c ) 3.5 mph , d ) 4 mph , e ) 0.5 mph", + "Correct": "c", + "Explanation": "\"( 1 mph + 6 mph ) / 2 = 3.5 mph correct option is : c\"" + }, + { + "Answer": 10.797344572538567, + "Options": "a ) 32.5 , b ) 11.12 , c ) 32.1 , d ) 10.8 , e ) 32.3", + "Correct": "d", + "Explanation": "\"36 / 7 r = 2.1 = 10.80 answer : d\"" + }, + { + "Answer": 100, + "Options": "a ) 100 , b ) 133 , c ) 150 , d ) 167 , e ) 188", + "Correct": "a", + "Explanation": "\"since we know the distance ( 200 ) and the combined rate ( 40 ) , we plug it into the formula : distance = rate * time 200 = 40 * time we can solve for the time they will meet cause we added the rate of train a and train b together . so the time will be 200 / 40 from dividing 40 on both sides to isolate time in the equation above . time will be 5 hours so now you can plug that in for train a \u2019 s distance . distance = rate * time distance = 20 * 5 distance = 100 according to answer choice a .\"" + }, + { + "Answer": 1.5, + "Options": "a ) 0.5 , b ) 1.5 , c ) 2.5 , d ) 3.5 , e ) 4.5", + "Correct": "b", + "Explanation": "\"time = 4 / 4 + 4 / 8 = 12 / 8 = 1.5 hours the answer is b .\"" + }, + { + "Answer": 15, + "Options": "a ) 12 , b ) 15 , c ) 20 , d ) 24 , e ) 28", + "Correct": "b", + "Explanation": "in the first 2 hours lionel at the rate of 2 miles per hour covered distance = rate * time = 2 * 2 = 4 miles . so , the distance between him and walt was 48 - 4 = 44 miles when walt left his house . now , their combined rate to cover this distance was 2 + 6 = 8 miles per hour , hence they will meet ( they will cover that distance ) in time = distance / rate = 44 / 8 = 5.5 hours . total time that lionel was walking is 2 + 5.5 = 7.5 hours , which means that he covered in that time interval distance = rate * time = 2 * 7.5 = 15 miles . answer : b ." + }, + { + "Answer": 810, + "Options": "a ) rs 840 , b ) rs 320 , c ) rs 810 , d ) rs 680 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : ( men 4 : 9 ) : ( hrs / day 10 : 6 ) : : 600 : x hence 4 * 10 * x = 9 * 6 * 600 or x = 9 * 6 * 600 / 4 * 10 = 810 answer : c\"" + }, + { + "Answer": 675, + "Options": "a ) 187 m , b ) 350 m , c ) 267 m , d ) 287 m , e ) 675 m", + "Correct": "e", + "Explanation": "\"speed = 300 / 12 = 25 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 39 = 25 = > x = 675 m . answer : e\"" + }, + { + "Answer": 40, + "Options": "a ) 38 , b ) 40 , c ) 26 , d ) 25 , e ) 11", + "Correct": "b", + "Explanation": "\"explanation : let the number of correct answers be x . then numbers of incorrect answers will be 75 \u2013 x we get 4 x \u2013 ( 75 \u2013 x ) \u00d7 1 = 125 on solving the equation we get x = 40 answer : b\"" + }, + { + "Answer": 20.99832013438925, + "Options": "a ) 21 sec , b ) 32 sec , c ) 82 sec , d ) 20 sec , e ) 89 sec", + "Correct": "a", + "Explanation": "relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 120 + 300 = 420 m . the time required = d / s = 420 / 20 = 21 sec . answer : a" + }, + { + "Answer": 15.99872010239181, + "Options": "a ) 18 sec , b ) 70 sec , c ) 21 sec , d ) 20 sec , e ) 16 sec", + "Correct": "e", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 100 + 220 = 320 m . the time required = d / s = 320 / 20 = 16 sec . answer : e\"" + }, + { + "Answer": 60, + "Options": "a ) 18 , b ) 24 , c ) 60 , d ) 36 , e ) 48", + "Correct": "c", + "Explanation": "\"speed = 36 km / hr = > 36,000 m / hr in one minute = > 36000 / 60 = 600 meters in one sec = > 600 / 60 = 10 meters time = total distance need to be covered / avg . speed = > 600 / 10 = 60 and hence the answer : c\"" + }, + { + "Answer": 10, + "Options": "a ) 13 , b ) 10 , c ) 16 , d ) 50 , e ) 23", + "Correct": "b", + "Explanation": "\"option b explanation : a can do the work in 30 / 2 i . e . , 15 days . a and b ' s one day ' s work = 1 / 15 + 1 / 30 = ( 2 + 1 ) / 30 = 1 / 10 so a and b together can do the work in 10 days .\"" + }, + { + "Answer": 67.5, + "Options": "a ) $ 67.50 , b ) $ 54 , c ) $ 28.50 , d ) $ 12.50 , e ) $ 9.60", + "Correct": "a", + "Explanation": "6.75 * 10 = 67.50 . answer is a ." + }, + { + "Answer": 24, + "Options": "a ) 19 , b ) 12 , c ) 11 , d ) 24 , e ) 114", + "Correct": "d", + "Explanation": "\"suppose a , b and c take x , x / 2 and x / 3 respectively to finish the work . then , ( 1 / x + 2 / x + 3 / x ) = 1 / 4 6 / x = 1 / 4 = > x = 24 so , b takes 12 hours to finish the work . answer : d\"" + }, + { + "Answer": 9.719222462203025, + "Options": "a ) 10.9 , b ) 10.7 , c ) 10.3 , d ) 10.8 , e ) 9.72", + "Correct": "e", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 110 + 160 = 270 m . required time = 270 * 9 / 250 = 243 / 25 = 9.72 sec . ' answer : e\"" + }, + { + "Answer": 285, + "Options": "['a ) 766 cm 2', 'b ) 535 cm 2', 'c ) 285 cm 2', 'd ) 324 cm 2', 'e ) 235 cm 2']", + "Correct": "c", + "Explanation": "area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 15 ) = 285 cm 2 answer : c" + }, + { + "Answer": 300, + "Options": "a ) 288 , b ) 300 , c ) 889 , d ) 276 , e ) 234", + "Correct": "b", + "Explanation": "\"speed = 300 / 18 = 50 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 36 = 50 / 3 3 x + 900 = 1800 = > x = 300 m . answer : b\"" + }, + { + "Answer": 18, + "Options": "a ) 18 sec , b ) 15 sec , c ) 4 sec , d ) 16 sec , e ) 12 sec", + "Correct": "a", + "Explanation": "\"speed of train relative to man = ( 60 + 6 ) km / hr = 66 km / hr [ 66 * 5 / 18 ] m / sec = [ 55 / 3 ] m / sec . time taken to pass the man = [ 330 * 3 / 55 ] sec = 18 sec answer : a\"" + }, + { + "Answer": 296.06299212598424, + "Options": "a ) 174.2 , b ) 212 , c ) 288.1 , d ) 296 , e ) 282.4", + "Correct": "d", + "Explanation": "1.5 inch = 2.54 * 1.5 cm . so , 2.54 * 1.5 represents 24 miles . so for 47 cm . : 47 / ( 2.54 * 1.5 ) = x / 24 - - - > x = 24 * 47 / ( 4.81 ) = 296 answer will be d ." + }, + { + "Answer": 144, + "Options": "a ) 87 kmph , b ) 97 kmph , c ) 72 kmph , d ) 144 kmph , e ) 120 kmph", + "Correct": "d", + "Explanation": "\"length = speed * time speed = l / t s = 800 / 20 s = 40 m / sec speed = 40 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 144 kmph answer : d\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 12 , e ) none of these", + "Correct": "a", + "Explanation": "\"the part of job that suresh completes in 9 hours = 9 \u2044 15 = 3 \u2044 5 remaining job = 1 - 3 \u2044 5 = 2 \u2044 5 remaining job can be done by ashutosh in 2 \u2044 5 \u00d7 10 = 4 hours answer a\"" + }, + { + "Answer": 42, + "Options": "a ) $ 50 , b ) $ 42 , c ) $ 60 , d ) $ 100 , e ) $ 90", + "Correct": "b", + "Explanation": "\"rahul ' s wages : rajesh ' s wages = 1 / 3 : 1 / 2 = 2 : 3 rahul ' s share = 105 * 2 / 5 = $ 42 answer is b\"" + }, + { + "Answer": 4, + "Options": "a ) 12 , b ) 9 , c ) 8 , d ) 6 , e ) 4", + "Correct": "e", + "Explanation": "\"a ' s 1 hour ' s work = 1 / 4 ; ( b + c ) ' s 1 hour ' s work = 1 / 2 ; ( a + c ) ' s 1 hour ' s work = 1 / 2 . ( a + b + c ) ' s 1 hour ' s work = ( 1 / 4 + 1 / 2 ) = 3 / 4 . b ' s 1 hour ' s work = ( 3 / 4 - 1 / 2 ) = 1 / 4 . therefore a alone will take 4 hours to do the work . e\"" + }, + { + "Answer": 100, + "Options": "a ) $ 50 , b ) $ 40 , c ) $ 60 , d ) $ 100 , e ) $ 90", + "Correct": "d", + "Explanation": "rahul ' s wages : rajesh ' s wages = 1 / 3 : 1 / 2 = 2 : 3 rahul ' s share = 250 * 2 / 5 = $ 100 answer is d" + }, + { + "Answer": 45, + "Options": "a ) 54 , b ) 66 , c ) 80 , d ) 45 , e ) 96", + "Correct": "d", + "Explanation": "\"d 45 it takes 3 hours for the friends to meet ; so the pigeon flies for 3 hours at 18 mph = 45 miles\"" + }, + { + "Answer": 82, + "Options": "a ) 50 kmph , b ) 82 kmph , c ) 62 kmph , d ) 65 kmph , e ) 75 kmph", + "Correct": "b", + "Explanation": "\"relative speed = 280 / 9 m / sec = ( ( 280 / 9 ) * ( 18 / 5 ) ) kmph = 112 kmph . speed of goods train = ( 112 - 30 ) kmph = 82 kmph . answer : b .\"" + }, + { + "Answer": 800, + "Options": "a ) 1000 , b ) 900 , c ) 800 , d ) 400 , e ) 1200", + "Correct": "c", + "Explanation": "upward distance traveled per hour - 50 km , distance traveled after 8 hours = 400 km . he remained with 4 hours travel downward , i . e . distance traveled in remaining 4 hours downward = 400 km so total distance traveled from a to b and back to point a = 400 km upward + 400 km downhill = 800 km ( answer : c )" + }, + { + "Answer": 150.79644737231007, + "Options": "a ) 287 , b ) 132 , c ) 150.9 , d ) 158 , e ) 267", + "Correct": "c", + "Explanation": "\"2 * 22 / 7 * 16 = 100.6 100.6 * 1 1 / 2 = rs . 150.9 answer : c\"" + }, + { + "Answer": 50, + "Options": "a ) 3 % , b ) 50 % , c ) 8 % , d ) 10 % , e ) 12 %", + "Correct": "b", + "Explanation": "\"bob ' s time = 640 secs . his sis ' time = 320 secs . percent increase needed = ( 640 - 320 / 640 ) * 100 = 320 / 640 * 100 = 50 % . ans ( b ) .\"" + }, + { + "Answer": 245, + "Options": "a ) 105 , b ) 140 , c ) 175 , d ) 210 , e ) 245", + "Correct": "e", + "Explanation": "\"in 48 minutes , car x travels 28 miles . car y gains 4 miles each hour , so it takes 7 hours to catch car x . in 7 hours , car x travels 245 miles . the answer is e .\"" + }, + { + "Answer": 14.589994594594595, + "Options": "a ) 13.58 , b ) 13.87 , c ) 14.24 , d ) 14.59 , e ) 14.85", + "Correct": "d", + "Explanation": "the laptop can load the video at a rate of 1 / 15 of the video per second . the phone can load the video at a rate of 1 / ( 60 * 9 ) = 1 / 540 of the video per second . the combined rate is 1 / 15 + 1 / 540 = 37 / 540 of the video per second . the time required to load the video is 540 / 37 = 14.59 seconds . the answer is d ." + }, + { + "Answer": 275, + "Options": "a ) 269 , b ) 285 , c ) 300 , d ) 275 , e ) none of these", + "Correct": "d", + "Explanation": "option d" + }, + { + "Answer": 41.42857142857143, + "Options": "a ) 41.4 , b ) 34.1 , c ) 13.4 , d ) 12.4 , e ) 10.8", + "Correct": "a", + "Explanation": "\"break down the problem into two pieces : typing and editing . mary needs 30 hours to type the report - - > mary ' s typing rate = 1 / 30 ( rate reciprocal of time ) ( point 1 in theory below ) ; mary and jim can type up a report in 12.5 and - - > 1 / 30 + 1 / x = 1 / 12.5 = 2 / 25 ( where x is the time needed for jim to type the report alone ) ( point 23 in theory below ) - - > x = 150 / 7 ; jim needs 12 hours to edit the report - - > jim ' s editing rate = 1 / 12 ; mary and jim can edit a report in 7.5 and - - > 1 / y + 1 / 12 = 1 / 7.5 = 2 / 15 ( where y is the time needed for mary to edit the report alone ) - - > y = 20 ; how many w hours will it take if jim types the report and mary edits it immediately after he is done - - > x + y = 150 / 7 + 20 = ~ 41.4 answer : a .\"" + }, + { + "Answer": 10800, + "Options": "a ) 3488 , b ) 10800 , c ) 12788 , d ) 1800 , e ) 2881", + "Correct": "b", + "Explanation": "explanation : if an object travels at 2 feet per second it covers 3 x 60 feet in one minute , and 3 x 60 x 60 feet in one hour . answer = 10800 answer : b ) 10800" + }, + { + "Answer": 20, + "Options": "a ) 5 min , b ) 10 min , c ) 15 min , d ) 20 min , e ) 25 min", + "Correct": "d", + "Explanation": "required time = 20 * 2 * 1 / 2 = 20 minutes answer is d" + }, + { + "Answer": 59.99972739897623, + "Options": "a ) 60 , b ) 37 , c ) 26 , d ) 28 , e ) 11", + "Correct": "a", + "Explanation": "first we will determine the speed of the bus following its increase . the speed is increased by 509509 m / sec = 50 \u22c5 60 \u22c5 6091000 = 50 \u22c5 60 \u22c5 6091000 km / hr = 20 = 20 km / hr . therefore , the new speed is v = 50 + 20 = 70 v = 50 + 20 = 70 km / hr . if xx is the number of hours according to the schedule , then at the speed of 50 km / hr the bus travels from a to b within ( x + 4260 ) ( x + 4260 ) hr . when the speed of the bus is v = 70 v = 70 km / hr , the travel time is x \u2212 3060 x \u2212 3060 hr . then 50 ( x + 4260 ) = 70 ( x \u2212 3060 ) 50 ( x + 4260 ) = 70 ( x \u2212 3060 ) 5 ( x + 710 ) = 7 ( x \u2212 12 ) 5 ( x + 710 ) = 7 ( x \u2212 12 ) 72 + 72 = 7 x \u2212 5 x 72 + 72 = 7 x \u2212 5 x 2 x = 72 x = 7 x = 72 x = 72 hr . so , the bus is scheduled to make the trip in 33 hr 3030 min . the distance between the two towns is 70 ( 72 \u2212 12 ) = 70 \u22c5 3 = 21070 ( 72 \u2212 12 ) = 70 \u22c5 3 = 210 km and the scheduled speed is 210 / 7 / 2 = 60 km / hr . answer : a" + }, + { + "Answer": 31, + "Options": "a ) 8 hours , b ) 48 hours , c ) 31 hours , d ) 18 hours , e ) 28 hours", + "Correct": "c", + "Explanation": "$ 6.50 x . 10 = $ . 65 is 10 % of his hourly income $ 6.50 - . 65 = $ 5.85 hourly amount available to spend $ 25.35 + $ 70.69 + $ 85.96 = $ 182 total needed $ 182 \u00f7 $ 5.85 = 31.11 . . . rounds to 31 hours correct answer c" + }, + { + "Answer": 2, + "Options": "a ) 4 min , b ) 2 min , c ) 8 min , d ) 9 min , e ) 3 min", + "Correct": "b", + "Explanation": "s = 600 / 40 = 15 mps s = 1800 / 15 = 120 sec = 2 min . answer : b" + }, + { + "Answer": 435, + "Options": "a ) 425 , b ) 435 , c ) 445 , d ) 455 , e ) 465", + "Correct": "b", + "Explanation": "\"relative speed = ( 90 - 36 ) * 5 / 18 = 3 * 5 = 15 mps . distance covered in 29 sec = 29 * 15 = 435 m . the length of the faster train = 435 m . answer : b\"" + }, + { + "Answer": 3, + "Options": "a ) 3 hours , b ) 5 hours , c ) 6 hours , d ) 7 hours , e ) 8 hours", + "Correct": "a", + "Explanation": "\"explanation : it is very important to check , if the boat speed given is in still water or with water or against water . because if we neglect it we will not reach on right answer . i just mentioned here because mostly mistakes in this chapter are of this kind only . lets see the question now . speed downstream = ( 16 + 5 ) = 21 kmph time = distance / speed = 63 / 21 = 3 hours option a\"" + }, + { + "Answer": 180, + "Options": "a ) 266 sec , b ) 180 sec , c ) 776 sec , d ) 166 sec , e ) 997 sec", + "Correct": "b", + "Explanation": "\"l = s * t s = 1200 / 120 s = 10 m / sec . total length ( d ) = 1800 m t = d / s t = 1800 / 10 t = 180 sec answer : b\"" + }, + { + "Answer": 80, + "Options": "a ) 50 kmh , b ) 60 kmh , c ) 70 kmh , d ) 80 kmh , e ) 90 kmh", + "Correct": "d", + "Explanation": "\"time = distance / speed difference in time = 1 / 2 hrs 120 / x - 120 / ( x + 40 ) = 1 / 2 substitute the value of x from the options . - - > x = 80 - - > 120 / 80 - 120 / 120 = 3 / 2 - 1 = 1 / 2 answer : d\"" + }, + { + "Answer": 230, + "Options": "a ) 150 m , b ) 230 m , c ) 290 m , d ) 310 m , e ) 420 m", + "Correct": "b", + "Explanation": "relative speed = 120 + 80 = 200 * 5 / 18 = 500 / 9 m / s let the length of the other train be x meters x + 270 / 9 = 500 / 9 x = 230 m answer is b" + }, + { + "Answer": 8.000000000000002, + "Options": "a ) 10 sec , b ) 16 sec , c ) 13 sec , d ) 67 sec , e ) 8 sec", + "Correct": "e", + "Explanation": "\"rs = 60 - 40 = 20 * 5 / 18 = 100 / 18 t = 40 d = 40 * 100 / 18 = 2000 / 9 rs = 60 + 40 = 100 * 5 / 18 t = 2000 / 9 * 18 / 500 = 8 sec answer : e\"" + }, + { + "Answer": 29.997600191984642, + "Options": "a ) 18.9 sec , b ) 88.9 sec , c ) 22.9 sec , d ) 30.00 sec , e ) 72.0 sec", + "Correct": "d", + "Explanation": "\"d = 110 + 390 = 500 m s = 60 * 5 / 18 = 50 / 3 t = 500 * 3 / 50 = 30 sec answer : d\"" + }, + { + "Answer": 1800, + "Options": "a ) rs . 1200 , b ) rs . 1500 , c ) rs . 1800 , d ) rs . 2000 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : ratio of working days of a : b = 10 : 15 therefore , their wages ratio = reverse ratio = 15 : 10 therefore , a will get 15 units of ratio total ratio = 25 1 unit of ratio = 3000 / 25 = 120 so , a \u2019 s amount = 120 \u00d7 15 = rs . 1800 . answer : option c\"" + }, + { + "Answer": 20.454545454545453, + "Options": "a ) 17.36 , b ) 20.45 , c ) 23.87 , d ) 26.92 , e ) 29.56", + "Correct": "b", + "Explanation": "\"90 feet / 3 seconds = 30 feet / second ( 30 feet / second ) * ( 3600 seconds / hour ) * ( 1 mile / 5280 feet ) = 20.45 miles / hour ( approximately ) the answer is b .\"" + }, + { + "Answer": 666, + "Options": "a ) 399 , b ) 272 , c ) 666 , d ) 277 , e ) 311", + "Correct": "c", + "Explanation": "\"answer : option c explanation : a 2 = 3136 = > a = 56 56 * 4 * 3 = 672 \u00e2 \u20ac \u201c 6 = 666 * 1 = 666 answer : c\"" + }, + { + "Answer": 1, + "Options": "a ) 40 minutes . , b ) 1 hour and 30 minutes . , c ) 1 hour . , d ) 1 hour and 40 minutes . , e ) 2 hours and 15 minutes .", + "Correct": "c", + "Explanation": "rate = output / time jayes rate = 25 / 20 = 5 / 4 dylan rate = 25 / 60 = 5 / 12 combined rate = 5 / 4 + 5 / 12 = 20 / 12 combinedrate * combinedtime = combinedoutput 20 / 12 * t = 150 t = 90 mins = > 1 hr 30 min" + }, + { + "Answer": 26, + "Options": "a ) 20 m , b ) 25 m , c ) 22.5 m , d ) 26 m , e ) 12 m", + "Correct": "d", + "Explanation": "\"distance covered by b in 9 sec . = 130 / 45 x 9 m = 26 m . a beats b by 26 metres . answer : option d\"" + }, + { + "Answer": 26, + "Options": "a ) 1 , b ) 40 , c ) 20 , d ) 26 , e ) 30", + "Correct": "d", + "Explanation": "\"explanation : one bag of husk = 26 cows per day \u21d2 26 \u00d7 1 \u00d7 26 = 1 \u00d7 26 \u00d7 x for one cow = 26 days answer : d\"" + }, + { + "Answer": 11.333333333333334, + "Options": "a ) 12.9 , b ) 12.5 , c ) 11.3 , d ) 12.2 , e ) 12.1", + "Correct": "c", + "Explanation": "\"1000 * 17 = 1500 * x x = 11.3 answer : c\"" + }, + { + "Answer": 60, + "Options": "a ) $ 50 , b ) $ 40 , c ) $ 60 , d ) $ 100 , e ) $ 90", + "Correct": "c", + "Explanation": "\"rahul ' s wages : rajesh ' s wages = 1 / 3 : 1 / 2 = 2 : 3 rahul ' s share = 150 * 2 / 5 = $ 60 answer is c\"" + }, + { + "Answer": 1200, + "Options": "a ) 1000 yards , b ) 1200 yards , c ) 1400 yards , d ) 1600 yards , e ) 1800 yards", + "Correct": "b", + "Explanation": "if x is the distance , a is speed of a and b is speed of b , then ; 500 / a = ( x - 500 ) / b and ( x + 300 ) / a = ( 2 x - 300 ) / b , solving it , we get x = 1200 yards answer : b" + }, + { + "Answer": 25, + "Options": "a ) 10 hrs , b ) 15 hrs , c ) 20 hrs , d ) 25 hrs , e ) 18 hrs", + "Correct": "d", + "Explanation": "\"1 hour he ride 50 km he ride 1250 km in = 1250 / 50 * 1 = 25 hours answer is d\"" + }, + { + "Answer": 15, + "Options": "a ) 31 kmph , b ) 16 kmph , c ) 19 kmph , d ) 15 kmph , e ) 14 kmph", + "Correct": "d", + "Explanation": "\"let the speed of the water in still water = x given that speed of the stream = 3 kmph speed downstream = ( x + 3 ) kmph speed upstream = ( x \u00e2 \u02c6 \u2019 3 ) kmph he travels a certain distance downstream in 1 hour and come back in 11 \u00e2 \u0081 \u201e 2 hour . i . e . , distance travelled downstream in 1 hour = distance travelled upstream in 11 \u00e2 \u0081 \u201e 2 hour since distance = speed \u00e3 \u2014 time , we have ( x + 3 ) \u00e3 \u2014 1 = ( x - 3 ) 3 / 2 2 ( x + 3 ) = 3 ( x - 3 ) 2 x + 6 = 3 x - 9 x = 6 + 9 = 15 kmph answer : d\"" + }, + { + "Answer": 60, + "Options": "a ) 36 , b ) 42 , c ) 48 , d ) 54 , e ) 60", + "Correct": "e", + "Explanation": "\"let v be her normal speed and let t be her normal time . d = ( 5 / 6 ) v * ( t + 12 ) since the distance is the same we can equate this to a regular day which is d = v * t v * t = ( 5 / 6 ) v * ( t + 12 ) t / 6 = 10 t = 60 the answer is e .\"" + }, + { + "Answer": 12, + "Options": "a ) 1 minutes , b ) 12 minute , c ) 120 minutes , d ) 10000 minutes , e ) 1000 minutes", + "Correct": "b", + "Explanation": "\"we can try the logic of time and work , our work is to kill the deers so 12 ( lions ) * 12 ( min ) / 12 ( deers ) = 100 ( lions ) * x ( min ) / 100 ( deers ) hence answer is x = 12 answer : b\"" + }, + { + "Answer": 9, + "Options": "a ) 5 minutes , b ) 6 minutes , c ) 8 minutes , d ) 9 minutes , e ) 10 minutes", + "Correct": "d", + "Explanation": "let ' s say the distance between the buses is d . we want to determine interval = \\ frac { d } { b } , where b is the speed of bus . let the speed of cyclist be c . every 18 minutes a bus overtakes cyclist : \\ frac { d } { b - c } = 18 , d = 18 b - 18 c ; every 6 minutes cyclist meets an oncoming bus : \\ frac { d } { b + c } = 6 , d = 6 b + 6 c ; d = 18 b - 18 c = 6 b + 6 c , - - > b = 2 c , - - > d = 18 b - 9 b = 9 b . interval = \\ frac { d } { b } = \\ frac { 9 b } { b } = 9 answer : d ( 9 minutes ) ." + }, + { + "Answer": 13.75, + "Options": "a ) 20 , b ) 55 / 4 , c ) 25 , d ) 14 , e ) 13", + "Correct": "b", + "Explanation": "\"after passing the hiker the cyclist travels for 5 minutes at a rate of 15 miles / hour . in those 5 mins the cyclist travels a distance of 5 / 4 miles . in those 5 mins the hiker travels a distance of 1 / 3 miles . so the hiker still has to cover 11 / 12 miles to meet the waiting cyclist . the hiker will need 55 / 4 mins to cover the remaining 11 / 12 miles . so the answer is b .\"" + }, + { + "Answer": 30, + "Options": "a ) 15 min , b ) 30 min , c ) 26 min , d ) 28 min , e ) 18 min", + "Correct": "b", + "Explanation": "if 8 people take an hour to complete a piece of work , then 16 people will take 8 * 60 / 16 = 30 mins to complete the same piece of work . answer : b" + }, + { + "Answer": 225, + "Options": "a ) 388 , b ) 267 , c ) 225 , d ) 288 , e ) 261", + "Correct": "c", + "Explanation": "\"speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 150 + x ) / 30 = 25 / 2 = = > 2 ( 150 + x ) = 750 = = > x = 225 m . answer : c\"" + }, + { + "Answer": 12.857142857142858, + "Options": "a ) 12.9 , b ) 12.8 , c ) 12.6 , d ) 12.2 , e ) 12.1", + "Correct": "b", + "Explanation": "1000 * 18 = 1400 * x x = 12.8 answer : b" + }, + { + "Answer": 12, + "Options": "a ) 12 days , b ) 16 days , c ) 18 days , d ) 11 days , e ) 38 days", + "Correct": "a", + "Explanation": "\"one day work of a , b and c = 1 / 30 + 1 / 30 + 1 / 40 = 1 / 11 work done by a and b together in the last 4 days = 4 * ( 1 / 30 + 1 / 30 ) = 4 / 15 remaining work = 11 / 15 the number of days required for this initial work = 8 days . the total number of days required = 4 + 8 = 12 days . answer : a\"" + }, + { + "Answer": 30, + "Options": "a ) 30 . , b ) 32 . , c ) 36 . , d ) 42 . , e ) 44 .", + "Correct": "a", + "Explanation": "\"let the time taken be = x one way distance = 45 x total distance traveled = 2 * 45 x = 90 x total time taken = x + 2 x = 3 x average speed = 90 x / 3 x = 30 answer : a\"" + }, + { + "Answer": 144, + "Options": "a ) 144 , b ) 108 , c ) 278 , d ) 126 , e ) 112", + "Correct": "a", + "Explanation": "\"s = 400 / 10 * 18 / 5 = 144 kmph answer : a\"" + }, + { + "Answer": 0.16666666666666666, + "Options": "a ) 1 / 9 , b ) 1 / 6 , c ) 1 / 2 , d ) 1 / 1 , e ) 1 / 4", + "Correct": "b", + "Explanation": "given that b alone can complete the same work in days = half the time taken by a = 9 days a \u2019 s one day work = 1 / 18 b \u2019 s one day work = 1 / 9 ( a + b ) \u2019 s one day work = 1 / 18 + 1 / 9 = 1 / 6 answer : b ." + }, + { + "Answer": 10, + "Options": "a ) 4 , b ) 5 , c ) 7 , d ) 8 , e ) 10", + "Correct": "e", + "Explanation": "\"1 women ' s 1 day work = 1 / 70 1 child ' s 1 day work = 1 / 140 ( 2 women + 10 children ) ' s 1 day work = ( 2 / 70 + 10 / 140 ) = 1 / 10 2 women and 10 children will complete the work in 10 days . e\"" + }, + { + "Answer": 11, + "Options": "a ) 8 , b ) 8.5 , c ) 11 , d ) 9.5 , e ) 10", + "Correct": "c", + "Explanation": "a train travels at the rate of 10 miles / hr for the first hour of a trip , at 20 miles / hr for the second hour , at 30 miles / hr for the third hour and so on . how many hours will it take the train to complete a 660 - mile journey ? assume that the train makes no intermediate stops . i think the easiest way to solve this problem would be simply to count the number of miles it travels per hour ( and in total ) hour miles / hour total miles 1 10 10 2 20 30 3 30 60 4 40 100 5 50 150 6 60 210 7 70 280 8 80 360 9 90 450 10 100 550 11 110 660 it takes a total of nine hours to cover the 660 mile distance . answer : c . 11" + }, + { + "Answer": 210.9375, + "Options": "a ) 211 seconds , b ) 195 seconds , c ) 155 seconds , d ) 115 seconds , e ) 115 seconds", + "Correct": "a", + "Explanation": "\"explanation : let the time required by x seconds . then , more cloth means more time ( direct proportion ) so , 0.128 : 1 : : 27 : x = > x = { \\ color { blue } \\ frac { 27 \\ times 1 } { 0.128 } } = > x = 210.94 so time will be approx 211 seconds answer : a\"" + }, + { + "Answer": 90.0000000000001, + "Options": "a ) 50 hours , b ) 62 hours , c ) 90 hours , d ) 75 hours , e ) 100 hours", + "Correct": "c", + "Explanation": "\"let the leak empty the full cistern in x hours 9 x / x - 9 = 9 + 1 x = 90 hours answer is c\"" + }, + { + "Answer": 2, + "Options": "a ) 1 km , b ) 2 km , c ) 3 km , d ) 4 km , e ) 5 km", + "Correct": "b", + "Explanation": "let the distance be x km difference in timings = 20 min = 20 / 60 = 1 / 3 hr x / 2 - x / 3 = 1 / 3 x = 2 km answer is b" + }, + { + "Answer": 23.998080153587715, + "Options": "a ) 80 , b ) 26 , c ) 24 , d ) 54 , e ) 15", + "Correct": "c", + "Explanation": "\"speed of train relative to man = 60 + 6 = 66 km / hr . = 66 * 5 / 18 = 55 / 3 m / sec . time taken to pass the men = 440 * 3 / 55 = 24 sec . answer : c\"" + }, + { + "Answer": 12, + "Options": "a ) 10 km , b ) 12 km , c ) 14 km , d ) 16 km , e ) 18 km", + "Correct": "b", + "Explanation": "avg speed = 2 * 3 * 6 / ( 3 + 6 ) = 4 so speed of man = 4 km / hr distance = 4 * 6 = 24 km since we want one way distance it will be 24 / 2 = 12 km answer : b" + }, + { + "Answer": 225.03199999999998, + "Options": "a ) 271 , b ) 266 , c ) 225 , d ) 277 , e ) 232", + "Correct": "c", + "Explanation": "\"length of the platform = 36 * 5 / 18 * 40 = 400 \u2013 175 = 225 answer : c\"" + }, + { + "Answer": 30, + "Options": "a ) 35 kmph , b ) 32 kmph , c ) 30 kmph , d ) 31 kmph , e ) 20 kmph", + "Correct": "c", + "Explanation": "tiger take 11 hours and zeebra take 6 hours . . . then distance chased by them is 55 * 6 . so speed of tiger is ( 55 * 6 ) / 11 = 30 kmph . answer is c" + }, + { + "Answer": 330, + "Options": "a ) 227 , b ) 299 , c ) 330 , d ) 161 , e ) 212", + "Correct": "c", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 26 + 18 ) * ( 15 ) = 330 cm 2 answer : c\"" + }, + { + "Answer": 89.99232061435085, + "Options": "a ) 54 kmph , b ) 60 kmph , c ) 66 kmph , d ) 72 kmph , e ) 90 kmph", + "Correct": "e", + "Explanation": "\"speed of train relative to man : 160 / 6 * 18 / 5 km / hr = 96 km / hr let speed of train = x therefore x + 6 = 96 x = 96 - 6 x = 90 km / hr answer : e\"" + }, + { + "Answer": 26, + "Options": "a ) 22 , b ) 24 , c ) 26 , d ) 28 , e ) none of them", + "Correct": "c", + "Explanation": "let 3 engines of former type consume 1 unit in 1 hour . then , 4 engines of latter type consume 1 unit in 1 hour . therefore 1 engine of former type consumes ( 1 / 3 ) unit in 1 hour . 1 engine of latter type consumes ( 1 / 4 ) unit in 1 hour . let the required consumption of coal be x units . less engines , less coal consumed ( direct proportion ) more working hours , more coal consumed ( direct proportion ) less rate of consumption , less coal consumed ( direct prportion ) number of engines 9 : 8 working hours 8 : 13 } : : 24 : x rate of consumption ( 1 / 3 ) : ( 1 / 4 ) [ 9 x 8 x ( 1 / 3 ) x x ) = ( 8 x 13 x ( 1 / 4 ) x 24 ) = 24 x = 624 = x = 26 . hence , the required consumption of coal = 26 metric tonnes . answer is c ." + }, + { + "Answer": 60.2, + "Options": "a ) 52 kmph , b ) 56 kmph , c ) 60 kmph , d ) 62 kmph , e ) 72 kmph", + "Correct": "c", + "Explanation": "\"explanation : relative speed = 320 / 10 m / sec = ( ( 320 / 10 ) \u00d7 ( 18 / 5 ) ) kmph = 115 kmph . speed of goods train = ( 115 - 55 ) kmph = 60 kmph answer : option c\"" + }, + { + "Answer": 238, + "Options": "a ) 238 sec , b ) 190 sec , c ) 667 sec , d ) 167 sec , e ) 176 sec", + "Correct": "a", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 12 ) / 48 = 250 sec . time taken by a = 250 - 12 = 238 sec . answer : a\"" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 8 hours , b ) 10 hours , c ) 12 hours , d ) 24 hours , e ) none of these", + "Correct": "c", + "Explanation": "\"solution a \u2019 s 1 hour \u2019 s work = 1 / 4 ; ( b + c ) ' s 1 hour \u2019 s work = 1 / 3 ; ( a + c ) ' s 1 hour \u2019 s work = 1 / 2 ( a + b + c ) \u2019 s 1 hour \u2019 s work = ( 1 / 4 + 1 / 3 ) = 7 / 12 b \u2019 s 1 hour \u2019 s work = ( 7 / 12 - 1 / 2 ) = 1 / 12 \u2234 b alone will take 12 hours to do the work . answer c\"" + }, + { + "Answer": 360, + "Options": "a ) 280 , b ) 320 , c ) 360 , d ) 420 , e ) 480", + "Correct": "c", + "Explanation": "easy 360 is the answer . 3 / 4 ( x / 2 ) = 135 x = 135 * 8 / 3 = 360 . answer c" + }, + { + "Answer": 119.99040076793858, + "Options": "a ) 120 , b ) 775 , c ) 555 , d ) 288 , e ) 278", + "Correct": "a", + "Explanation": "\"time taken to meet for the first time at the starting point = lcm { length of the track / speed of a , length of the track / speed of b } = lcm { 600 / ( 36 * 5 / 18 ) , 600 / ( 54 * 5 / 18 ) } = lcm ( 60 , 40 ) = 120 sec . answer : a\"" + }, + { + "Answer": 51.999999999999986, + "Options": "a ) 52 , b ) 65 , c ) 78 , d ) 91 , e ) 104", + "Correct": "a", + "Explanation": "\"fuel used 3.9 gallons ; convert to liters - - > 3.9 x 3.8 liters time = 5.7 hours 1 mile = 1.6 kilometers ; convert to miles - - > 1 km = 1 / 1.6 mile speed ( km / hour ) = d / t = 32 ( km * ) x 3.9 x 3.8 / 5.7 replace ( km * ) to miles ; multiply by 1 / 1.6 mile speed ( miles / hour ) = 32 x 3.9 x 3.8 / 5.7 x 1.6 = 78 miles / hour ans : a ps : i felt the factors were easy to cancel out , so did n ' t require much rounding off = 32 x 3.9 x 3.8 / 5.7 x 1.6 = 52 a\"" + }, + { + "Answer": 448, + "Options": "a ) 334 km . , b ) 216 km . , c ) 314 km . , d ) 448 km . , e ) 544 km .", + "Correct": "d", + "Explanation": "\"0.5 x / 21 + 0.5 x / 24 = 20 - - > x / 21 + x / 24 = 40 - - > x = 448 km . d\"" + }, + { + "Answer": 819, + "Options": "a ) 819 , b ) 918 , c ) 198 , d ) 189 , e ) 891", + "Correct": "a", + "Explanation": "0 7 9 : 9 is placed correctly * 0 3 2 : none of the numbers is in the code * 1 0 8 : 1 and 8 are correct number of code but placed at wrong position * 9 2 6 : number 9 is there but placed at wrong position * 6 7 8 : number 8 is there but placed at wrong position correct answer is a ) 819" + }, + { + "Answer": 36.8, + "Options": "a ) 11 seconds , b ) 38 seconds , c ) 40 seconds , d ) 88 seconds , e ) 36.8 seconds", + "Correct": "e", + "Explanation": "\"speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 320 + 140 = 460 meter time = distance / speed = 460 * ( 2 / 25 ) = 36.8 seconds answer : e\"" + }, + { + "Answer": 20, + "Options": "a ) 12 , b ) 14 , c ) 16 , d ) 18 , e ) 20", + "Correct": "e", + "Explanation": "\"explanation : t = 20 / 60 * 60 = 20 answer : option e\"" + }, + { + "Answer": 60, + "Options": "a ) 20 m , b ) 30 m , c ) 25 m , d ) 15 m , e ) 60 m", + "Correct": "e", + "Explanation": "\"it means , when a covers 200 m , b covers only ( 200 - 20 ) = 180 m and c covers only ( 200 - 38 ) = 162 m = > when c covers 162 m , b covers 180 m = > when b covers 600 m , c covers 162 / 180 \u00d7 600 = 540 m hence , b beats c by 600 - 540 = 60 metre answer : e\"" + }, + { + "Answer": 3.569962336897346, + "Options": "a ) 2.5 , b ) 2.7 , c ) 2.9 , d ) 3.6 , e ) 2.1", + "Correct": "d", + "Explanation": "\"speed = 121 * 5 / 18 = 33.6 m / sec time taken = 120 / 33.6 = 3.6 sec . answer : d\"" + }, + { + "Answer": 44, + "Options": "a ) 22 hours , b ) 30 hours , c ) 44 hours , d ) 60 hours , e ) it can not be determined from the information above .", + "Correct": "c", + "Explanation": "\"say the rates of machines a , b and c are a , b , and c , respectively . together 15 type a machines and 7 type b machines can complete a certain job in 4 hours - - > 15 a + 7 b = 1 / 4 ; together 8 type b machines and 15 type c machines can complete the same job in 11 hours - - > 8 b + 15 c = 1 / 11 . sum the above : 15 a + 15 b + 15 c = 1 / 4 + 1 / 11 = 15 / 44 - - > reduce by 15 : a + b + c = 1 / 44 - - > so , the combined rate of the three machines is 1 / 44 job / hour - - > time is reciprocal of the rate , thus machines a , b and c can do the job q in 44 hours . answer : c .\"" + }, + { + "Answer": 3, + "Options": "a ) 3 days , b ) 4 days , c ) 5 days , d ) 6 days , e ) 7 days", + "Correct": "a", + "Explanation": "6 x 8 x 5 / 75 = 4 x 8 xa / 30 solve this for a then we get a = 3 days answer : a" + }, + { + "Answer": 7.5, + "Options": "a ) 9.5 , b ) 5.5 , c ) 7.5 , d ) 6.5 , e ) 5.1", + "Correct": "c", + "Explanation": "\"explanation : speed downstream = ( 20 + 5 ) kmph = 25 kmph distance travelled = ( 25 * ( 18 / 60 ) ) km = 7.5 km . answer : c\"" + }, + { + "Answer": 2815.9999999999995, + "Options": "a ) 1187 m , b ) 1704 m , c ) 2816 m , d ) 2827 m , e ) 2897 m", + "Correct": "c", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 2000 resolutions . = 2000 * 2 * 22 / 7 * 22.4 = 281600 cm = 2816 m answer : c\"" + }, + { + "Answer": 5, + "Options": "a ) 6 minutes , b ) 5 minutes , c ) 7 minutes , d ) 3 minutes , e ) 4 minutes", + "Correct": "b", + "Explanation": "\"earl takes 1 min . for 36 envelopes . ellen takes 3 / 2 mins for the same . so ellen can stuff ( ( 36 ) / ( 3 / 2 ) ) in 1 min . i . e . , 24 envlpes a min . so both of them when work together can stuff 36 + 24 = 60 envelopes in 1 min . for 300 envelopes they will take 300 / 60 mins . i . e . , 5 mins . answer : b\"" + }, + { + "Answer": 5, + "Options": "a ) 5 hours , b ) 7 hours 20 minutes , c ) 4 hours , d ) 3 hours 45 minutes , e ) 2 hours 30 minutes", + "Correct": "a", + "Explanation": "relative speed = 45 - 36 = 9 miles per hour dist required = 22 + 23 = 45 miles time taken to overtake = 45 / 9 = 5 hours . a is the answer ." + }, + { + "Answer": 42, + "Options": "a ) 19 , b ) 12 , c ) 11 , d ) 42 , e ) 114", + "Correct": "d", + "Explanation": "\"suppose a , b and c take x , x / 2 and x / 3 respectively to finish the work . then , ( 1 / x + 2 / x + 3 / x ) = 1 / 7 6 / x = 1 / 7 = > x = 42 so , b takes 21 hours to finish the work . answer : d\"" + }, + { + "Answer": 34.09090909090909, + "Options": "a ) 30 , b ) 31 , c ) 32 , d ) 33 , e ) 34", + "Correct": "e", + "Explanation": "\"1 mile = 5280 feet = > 1 feet = 1 / 5280 miles if the object travels 300 feet in 6 sec then it travels 300 / 6 * 60 * 60 feet in 1 hour ( 1 hr = 60 min * 60 sec ) = 3600 * 50 feet in 1 hour = 180000 feet in 1 hr = 180000 / 5280 miles in 1 hour = 18000 / 528 miles / hr ~ 34 miles / hr answer - e\"" + }, + { + "Answer": 72, + "Options": "a ) 33 , b ) 27 , c ) 25 , d ) 22 , e ) 72", + "Correct": "e", + "Explanation": "\"sol : ( length of train + length of bridge ) = speed of train x time ( 250 + 150 ) = 20 x speed speed = 400 / 20 = 20 m / s = 72 km / h answer = e\"" + }, + { + "Answer": 4, + "Options": "a ) 8 mph , b ) 5.25 mph , c ) 3.5 mph , d ) 4 mph , e ) 0.5 mph", + "Correct": "d", + "Explanation": "\"( 1 mph + 7 mph ) / 2 = 4 mph correct option is : d\"" + }, + { + "Answer": 7, + "Options": "a ) 3 rd , b ) 6 th , c ) 9 th , d ) 7 th , e ) 8 th", + "Correct": "d", + "Explanation": "they completed 146 / 168 work in 6 days working one by one on eacg day . on 7 th day , 22 / 168 work is left which will be completed by anand on 7 th day . answer : d" + }, + { + "Answer": 2058, + "Options": "a ) 2574 , b ) 2500 , c ) 2100 , d ) 2058 , e ) none of these", + "Correct": "d", + "Explanation": "explanation : hcf * lcm = 45276 , because we know product of two numbers = product of hcf and lcm lcm = 45276 / 22 = 2058 option d" + }, + { + "Answer": 33, + "Options": "a ) 17 days , b ) 12 days , c ) 29 days , d ) 25 days , e ) 33 days", + "Correct": "e", + "Explanation": "\"wc = 2 : 1 2 x + x = 1 / 11 x = 1 / 33 = > 33 days answer : e\"" + }, + { + "Answer": 540, + "Options": "a ) 440 , b ) 540 , c ) 640 , d ) 740 , e ) 250", + "Correct": "b", + "Explanation": "\"speed of aeroplane = 420 kmph distance travelled in 6 hours = 420 * 6 = 2520 km speed of aeroplane to acver 2520 km in 14 / 3 = 2520 * 3 / 14 = 540 km answer b .\"" + }, + { + "Answer": 156, + "Options": "['a ) 136 cm', 'b ) 156 cm', 'c ) 144 cm', 'd ) 121 cm', 'e ) 126 cm']", + "Correct": "b", + "Explanation": "all sides of rhombus are congruent let pr = 72 sq = 30 cm po = 0 r = 72 / 1 = 36 cm so = 0 q = 30 / 2 = 15 cm pq = qr = rs = sp = root ( 36 ^ 2 + 15 ^ 2 ) = rppt ( 1296 + 225 ) = root ( 1521 ) = 39 cm perimeter = 4 * 39 = 156 cm answer b" + }, + { + "Answer": 25, + "Options": "a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", + "Correct": "d", + "Explanation": "\"in 5 minutes , the cyclist travels a distance of ( 5 / 60 ) * 24 = 2 km . the time it takes the hiker to complete this distance is 2 / 4 hours = 30 minutes the cyclist needs to wait 30 - 5 = 25 minutes the answer is d .\"" + }, + { + "Answer": 31, + "Options": "a ) $ 27 . , b ) $ 29 . , c ) $ 31 . , d ) $ 33 . , e ) $ 35 .", + "Correct": "c", + "Explanation": "2 hrs 30 min = 150 min first 20 min - - - - - - > $ 5 time left is 130 min . . . now , 60 min costs $ 12 1 min costs $ 12 / 60 150 min costs $ 12 / 60 * 130 = > $ 26.00 so , total cost will be $ 26 + $ 5 = > $ 31 hence answer will be c" + }, + { + "Answer": 8, + "Options": "a ) 2 , b ) 4 , c ) 8 , d ) 12 , e ) 16", + "Correct": "c", + "Explanation": "8 workers can build 1 car per day on average . 1 worker can build 1 / 8 of a car per day . 4 workers can build 1 / 2 car per day . the time required to build 4 cars is 4 / ( 1 / 2 ) = 8 days the answer is c ." + }, + { + "Answer": 0.1125, + "Options": "a ) 1 / 9 , b ) 29 / 180 , c ) 9 / 80 , d ) 1 / 5 , e ) 39 / 121", + "Correct": "c", + "Explanation": "\"50 apprentices can finish the job in 4 hours , thus : 10 apprentices can finish the job in 4 * 5 = 20 hours ; in 1 hour 10 apprentices can finish 1 / 20 of the job . 30 journeymen can finish the same job in 4,5 hours , thus : 15 journeymen can finish the job in 8 * 2 = 16 hours ; in 1 hour 15 journeymen can finish 1 / 16 of the job . therefore , in 1 hour 10 apprentices and 15 journeymen can finish 1 / 20 + 1 / 16 = 9 / 80 of the job . answer : c\"" + }, + { + "Answer": 273.2050807568877, + "Options": "a ) 173 m , b ) 200 m , c ) 273 m , d ) 300 m , e ) none of these", + "Correct": "c", + "Explanation": "\"xplanation : let ab be the lighthouse and c and d be the positions of the ships . then , ab = 100 m , < acb = 30 \u00ba and < adb = 45 \u00ba . ab / ac = tan 30 answer : c\"" + }, + { + "Answer": 6800, + "Options": "a ) 6400 , b ) 6410 , c ) 6440 , d ) 6500 , e ) 6800", + "Correct": "e", + "Explanation": "\"number of bricks = volume of wall / volume of bricks = 850 x 600 x 22.5 / 25 x 11.25 x 6 = = 6800 answer : e\"" + }, + { + "Answer": 230.03999999999996, + "Options": "a ) 226 , b ) 230 , c ) 430 , d ) 310 , e ) 260", + "Correct": "b", + "Explanation": "b 230 relative speed = ( 120 + 80 ) km / hr = 200 x 5 / 18 = 500 / 9 m / sec then , ( x + 270 ) / 9 = 500 / 9 - - > x + 270 = 500 - - > x = 230 ." + }, + { + "Answer": 300, + "Options": "a ) 150 meter , b ) 170 meter , c ) 156 meter , d ) 300 meter , e ) 154 meter", + "Correct": "d", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 18 = 300 meter answer : d\"" + }, + { + "Answer": 17.090909090909093, + "Options": "a ) 4 miles , b ) 8 miles , c ) 17 miles , d ) 6 miles , e ) 12 miles", + "Correct": "c", + "Explanation": "\"original distance between s and h = 40 miles . speed of s = 5 + 1 = 6 mph , speed of h = 5 mph . time traveled by h = t hours - - - > time traveled by s = t + 24 / 60 = t + 2 / 5 hours . now , the total distances traveled by s and h = 40 miles - - - > 6 * ( t + 2 / 5 ) + 5 * t = 40 - - - > t = 188 / 55 hours . thus h has traveled for 188 / 55 hours giving you a total distance for h = 5 * 188 / 55 = 17 miles . c is thus the correct answer . p . s . : based on the wording of the question , you should calculatehow far from theoriginal destination has heather walkedwhen the two meet . ' original destination ' for h does not make any sense . original destination for h was situated at a distance of 20 miles .\"" + }, + { + "Answer": 84, + "Options": "a ) 42 m , b ) 84 m , c ) 63 m , d ) 8.75 m , e ) 9.75 m", + "Correct": "b", + "Explanation": "\u00bd ( 12 + 8 ) d = 840 or d = 84 m answer : b" + }, + { + "Answer": 11, + "Options": "a ) 11 , b ) 12 , c ) 14 , d ) 16 , e ) 17", + "Correct": "a", + "Explanation": "\"26 trees have 25 gaps between them , required distance ( 275 / 25 ) = 11 a\"" + }, + { + "Answer": 220, + "Options": "a ) 76 m , b ) 178 m , c ) 220 m , d ) 187 m , e ) 176 m", + "Correct": "c", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 155 + x ) / 30 = 25 / 2 = > 2 ( 155 + x ) = 750 = > x = 220 m . answer : c\"" + }, + { + "Answer": 340, + "Options": "a ) s 340 , b ) s 780 , c ) s 880 , d ) s 480 , e ) s 980", + "Correct": "a", + "Explanation": "area of the plot = 110 m * 65 m = 7150 sq . m area of plot excluding gravel = 105 m * 60 m = 6300 sq . m area of gravel = 7150 sq . m - 6300 sq . m = 850 sq . m cost of building it = 850 sq . m * 40 = 34000 p in rs = 34000 / 100 = rs 340 answer : a" + }, + { + "Answer": 25, + "Options": "a ) 5 , b ) 9 , c ) 25 , d ) 30 , e ) 45", + "Correct": "c", + "Explanation": "\"relative distance = 55 miles relative speed = 6 + 5 = 11 miles per hour time taken = 55 / 11 = 5 hours distance travelled by sam = 5 * 5 = 25 miles = c\"" + }, + { + "Answer": 437.535, + "Options": "a ) 275 m , b ) 360 m , c ) 375 m , d ) 437.5 m , e ) 440 m", + "Correct": "d", + "Explanation": "\"the distance traveled in 25 sec = 63 * ( 5 / 18 ) * 25 = 437.5 m answer : d\"" + }, + { + "Answer": 21, + "Options": "a ) 18 , b ) 19 , c ) 20 , d ) 21 , e ) 22", + "Correct": "d", + "Explanation": "\"on the way down , the rate is 1.5 * 7 = 10.5 miles per day . the distance of the route down the mountain is 2 * 10.5 = 21 miles . the answer is d .\"" + }, + { + "Answer": 30, + "Options": "a ) 30 hrs , b ) 15 hrs , c ) 20 hrs , d ) 25 hrs , e ) 18 hrs", + "Correct": "a", + "Explanation": "\"1 hour he ride 50 km he ride 1500 km in = 1500 / 50 * 1 = 30 hours answer is a\"" + }, + { + "Answer": 10, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", + "Correct": "a", + "Explanation": "45 - - - 3 ds = 15 ? - - - - 1 15 - - - - 3 us = 5 ? - - - - 1 m = ? m = ( 15 + 5 ) / 2 = 10 answer : a" + }, + { + "Answer": 0.888888888888889, + "Options": "a ) 14 / 15 , b ) 15 / 14 , c ) 8 / 9 , d ) 5 / 4 , e ) can not be determined", + "Correct": "c", + "Explanation": "\"average speed of jack = distance / time = 40 / ( 9 / 2 ) = 80 / 9 average speed of jill = 40 / ( 4.0 ) = 10 ratio of average speed of jack to jill = ( 80 / 9 ) / 10 = 8 / 9 answer c\"" + }, + { + "Answer": 23.998080153587715, + "Options": "a ) 26 , b ) 24 , c ) 25 , d ) 82 , e ) 27", + "Correct": "b", + "Explanation": "\"explanation : d = 100 + 140 = 240 s = 36 * 5 / 18 = 10 mps t = 240 / 10 = 24 sec answer : option b\"" + }, + { + "Answer": 4, + "Options": "a ) 3 , b ) 3.5 , c ) 4 , d ) 4.5 , e ) 5", + "Correct": "c", + "Explanation": "\"both computers together process files at a rate of 240 / 12 + 240 / 6 = 20 + 40 = 60 files per hour . the time required to process 240 files is 240 / 60 = 4 hours the answer is c .\"" + }, + { + "Answer": 605, + "Options": "a ) 715 , b ) 825 , c ) 330 , d ) 605 , e ) 465", + "Correct": "d", + "Explanation": "\"first number * second number = lcm * hcf other number = 2310 * 55 / 210 = 11 * 55 = 605 answer : d\"" + }, + { + "Answer": 36, + "Options": "a ) 24 . , b ) 32 . , c ) 36 . , d ) 42 . , e ) 44 .", + "Correct": "c", + "Explanation": "let the time taken be = x one way distance = 54 x total distance traveled = 2 * 54 x = 108 x total time taken = x + 2 x = 3 x average speed = 108 x / 3 x = 36 answer : c" + }, + { + "Answer": 16, + "Options": "a ) 10 , b ) 12 , c ) 16 , d ) 20 , e ) 24", + "Correct": "c", + "Explanation": "\"the runner runs the first 20 miles at speed v and the second 20 miles at speed v / 2 . the time t 2 to run the second half must be twice the time t 1 to run the first half . t 2 = 2 * t 1 = t 1 + 8 t 1 = 8 and so t 2 = 16 . the answer is c .\"" + }, + { + "Answer": 21, + "Options": "a ) 20 hrs , b ) 21 hrs , c ) 22 hrs , d ) 23 hrs , e ) 24 hrs", + "Correct": "b", + "Explanation": "work done for 1 hr without leak = 1 / 3 work done with leak = 31 / 2 = = > 7 / 2 work and leak in 1 hr = 2 / 7 work leak in 1 hr = 1 / 3 - 2 / 7 = 1 / 21 so 21 hrs answer b" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 4 , c ) 5 , d ) 6 , e ) 8", + "Correct": "a", + "Explanation": "total distance = 14 kms maxwell speed = 4 kms / hr maxwell travelled for 1 hour before brad started , therefore maxwell traveled for 4 kms in 1 hour . time taken = total distance / relative speed total distance after brad started = 10 kms relative speed ( opposite side ) ( as they are moving towards each other speed would be added ) = 6 + 4 = 10 kms / hr time taken to meet brad after brad started = 10 / 10 = 1 hrs distance traveled by maxwell = maxwell ' s speed * time taken = 4 * 1 = 4 + 4 = 8 kms . . . therefore total time taken by maxwell to meet brad = distance travelled by maxwell / maxwell ' s speed = 8 / 4 = 2 hrs . . . answer a" + }, + { + "Answer": 42, + "Options": "a ) $ 33.75 , b ) $ 42.00 , c ) $ 51.75 , d ) $ 54.00 , e ) $ 70.00", + "Correct": "b", + "Explanation": "\"daily working hour * regular rate + overtime * increased rate 7.5 * 3.5 + 3 * 3.5 * 1.5 = 42 answer b\"" + }, + { + "Answer": 4, + "Options": "a ) 3 , b ) 3.5 , c ) 4 , d ) 4.5 , e ) 6", + "Correct": "c", + "Explanation": "ans : c total time = 14 hrs let time traveled during 1 st day = x let time traveled during 2 nd day = x - 2 total time = 14 x + x - 2 = 14 x = 8 speed * time = distance s * 8 + ( s + 0.5 ) ( 8 - 2 ) = 52 solving s = 4.5 now speed for 2 nd day is 0.5 less than the 1 st day which is 4.5 thus speed for 2 nd day = 4 its simple algebra for s * 8 + ( s + 0.5 ) ( 8 - 2 ) = 52 but for some reason im getting 3.5 and not 4.5 . 8 s + 6 s + 3 = 52 14 s = 49 s = 3.5" + }, + { + "Answer": 150, + "Options": "a ) 330 , b ) 300 , c ) 270 , d ) 150 , e ) 350", + "Correct": "d", + "Explanation": "\"the other number = l . c . m * h . c . f / given number = 2310 * 30 / 462 = 150 answer is d .\"" + }, + { + "Answer": 62, + "Options": "a ) 24 , b ) 44 , c ) 58 , d ) 60 , e ) 62", + "Correct": "e", + "Explanation": "patanjali walked 18 miles on the first day , walking 3 miles per hour i . e . total time of walk on day - 1 = 18 / 3 = 6 hours second day time of walk = 6 - 1 = 5 hours and speed = 3 + 1 = 4 miles per hour i . e . distance walked on second day = 5 * 4 = 20 miles third day time of walk = 6 hours and speed = 4 miles per hour i . e . distance walked on second day = 6 * 4 = 24 miles total distance travelled on three days = 18 + 20 + 24 = 62 answer : option e" + }, + { + "Answer": 120, + "Options": "a ) 120 , b ) 100 , c ) 96 , d ) 85 , e ) 150", + "Correct": "a", + "Explanation": "upstream speed = 50 - 10 = 40 mph downstream speed = 50 + 10 = 60 mph d / 40 + d / 60 = 5 hours solving for d we get d = 120 answer : a" + }, + { + "Answer": 2280, + "Options": "a ) 2280 , b ) 2240 , c ) 2299 , d ) 2288 , e ) 2266", + "Correct": "a", + "Explanation": "\"760 - - - - 22 760 - - - - 20 x - - - - - 5 x * 5 = 760 * 20 x = 3040 760 - - - - - - - 2280 answer : a\"" + }, + { + "Answer": 21, + "Options": "a ) 21 , b ) 23 , c ) 24 , d ) 25 , e ) 26", + "Correct": "a", + "Explanation": "\"according to the chain rule , m 1 x t 1 = m 2 x t 2 therefore , 63 x 12 x 5 = 30 x 6 x x x = 21 hence , the number of days = 21 . answer : a\"" + }, + { + "Answer": 10, + "Options": "a ) 8 sec , b ) 11 sec , c ) 12 sec , d ) 10 sec , e ) 15 sec", + "Correct": "d", + "Explanation": "total distance to cover = 2 * ( 1 / 6 ) = 2 / 6 miles relative speed = 60 + 60 = 120 mph time taken = ( 2 / 6 ) / 120 * 3600 = 10 sec . answer : d" + }, + { + "Answer": 18750, + "Options": "a ) 22877 , b ) 27778 , c ) 18750 , d ) 27999 , e ) 17799", + "Correct": "c", + "Explanation": "\"number of bricks = courtyard area / 1 brick area = ( 2500 \u00d7 1500 / 20 \u00d7 10 ) = 18750 answer : c\"" + }, + { + "Answer": 6.999999999999999, + "Options": "a ) 4 m , b ) 5 m , c ) 6 m , d ) 7 m , e ) 8 m", + "Correct": "d", + "Explanation": "\"explanation : let width = x then , height = 6 x and length = 42 x 42 x \u00e3 \u2014 6 x \u00e3 \u2014 x = 86436 x = 7 answer : d\"" + }, + { + "Answer": 512.9142857142857, + "Options": "a ) 512.448 m , b ) 704 m , c ) 510.448 m , d ) 706 m , e ) 204 m", + "Correct": "a", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 400 resolutions . = 400 * 2 * 22 / 7 * 20.4 = 51244.8 cm = 512.448 m answer : a\"" + }, + { + "Answer": 22.998160147188226, + "Options": "a ) 22 sec , b ) 23 sec , c ) 76 sec , d ) 20 sec , e ) 66 sec", + "Correct": "b", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 180 + 280 = 400 m . the time required = d / s = 460 / 20 = 23 sec . answer : b\"" + }, + { + "Answer": 116.66666666666667, + "Options": "a ) 112.21 , b ) 27.21 , c ) 117.66 , d ) 277 , e ) 116.66", + "Correct": "e", + "Explanation": "\"speed = 60 * 5 / 18 = 50 / 3 m / sec length of the train = speed * time = 50 / 3 * 7 = 116.66 answer : e\"" + }, + { + "Answer": 11.039116870650348, + "Options": "a ) 11.04 , b ) 10.0 , c ) 6.85 , d ) 5.85 , e ) 6.15", + "Correct": "a", + "Explanation": "\"t = ( 111 + 165 ) / ( 40 + 50 ) * 18 / 5 t = 11.04 answer : a\"" + }, + { + "Answer": 5, + "Options": "a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", + "Correct": "a", + "Explanation": "explanation : relative speed = ( 2 + 3 ) = 5 rounds per hour so , they cross each other 5 times in an hour hence , they cross 5 times before 9 a . m answer : option a" + }, + { + "Answer": 225, + "Options": "a ) 127 days , b ) 667 days , c ) 177 days , d ) 187 days , e ) 225 days", + "Correct": "e", + "Explanation": "1 man ' s 1 day work = 1 / 100 ( 10 men + 15 women ) ' s 1 day work = 1 / 6 15 women ' s 1 day work = ( 1 / 6 - 10 / 100 ) = 1 / 15 1 woman ' s 1 day work = 1 / 225 1 woman alone can complete the work in 225 days . answer : e" + }, + { + "Answer": 10, + "Options": "a ) 5 mtrs , b ) 10 mtrs , c ) 12 mtrs , d ) 15 mtrs , e ) 18 mtrs", + "Correct": "b", + "Explanation": "if length of piece is x and cost per mtr is c , then x * c = 35 or c = 35 / x ( x + 4 ) * ( c - 1 ) = 35 or x * c + 4 c - x - 4 = 35 or 35 + 4 c - x - 4 = 35 4 c - x = 4 4 * ( 35 / x ) - x = 4 x = 10 mtrs answer : b" + }, + { + "Answer": 2, + "Options": "a ) 2 hours , b ) 2.4 hours , c ) 3 hours , d ) 3.5 hours , e ) 4.5 hours", + "Correct": "a", + "Explanation": "\"explanation : part filled by ( p + q + r ) in 1 hour = ( 1 / 3 + 1 / 9 + 1 / 18 ) = 1 / 2 all the three pipes together will fill the tank = 2 / 1 = 2 hours answer a\"" + }, + { + "Answer": 100, + "Options": "a ) 80 , b ) 100 , c ) 150 , d ) 240 , e ) 300", + "Correct": "b", + "Explanation": "\"since the population increases at the rate of 1 person every 15 seconds , it increases by 4 people every 60 seconds , that is , by 4 people every minute . thus , in 25 minutes the population increases by 25 x 4 = 100 people . answer . b .\"" + }, + { + "Answer": 17, + "Options": "a ) 10 th minute , b ) 21 st minute , c ) 17 th minute , d ) 22 nd minute , e ) 13 th minute", + "Correct": "c", + "Explanation": "the money is climbing 1 meter in 2 min . this pattern will go on till he reaches 10 meters . i mean this will continue for first 8 * 2 = 16 mins . he would have reached 8 meters . after that he will climb 2 meters and he will reach the pole . so total time taken = 16 + 1 = 17 mins . so , asnwer will be c" + }, + { + "Answer": 5, + "Options": "a ) 5 km , b ) 4.5 km , c ) 5 1 \u2044 4 km / h , d ) can not be determined , e ) none of these", + "Correct": "a", + "Explanation": "\"d = product of speed difference of time / difference of speed d = 4 \u00d7 5 / 60 [ 10 \u2212 ( \u2212 5 ) / 5 \u2212 4 ] [ here , \u2013 ve sign indicates before the schedule time ] \u21d2 d = 5 km answer a\"" + }, + { + "Answer": 38, + "Options": "a ) 3.6 sec , b ) 38 sec , c ) 36 sec , d ) 72 sec , e ) none of these", + "Correct": "b", + "Explanation": "\"speed of train relative to jogger = ( 45 \u2013 9 ) km / h = 36 km / h = ( 36 \u00d7 5 \u2044 18 ) m / sec = 10 m / sec distance to be covered = ( 260 + 120 ) m = 380 m . \u2234 time taken = ( 380 \u2044 10 ) sec = 38 sec . answer b\"" + }, + { + "Answer": 16.014558689717926, + "Options": "a ) a ) 16 , b ) b ) 10 , c ) c ) 14 , d ) d ) 12 , e ) e ) 11", + "Correct": "a", + "Explanation": "\"2 * 22 / 7 * 14 * x = 1408 = > x = 16 answer : a\"" + }, + { + "Answer": 62, + "Options": "a ) 24 , b ) 44 , c ) 58 , d ) 60 , e ) 62", + "Correct": "e", + "Explanation": "jisha walked 18 miles on the first day , walking 3 miles per hour i . e . total time of walk on day - 1 = 18 / 3 = 6 hours second day time of walk = 6 - 1 = 5 hours and speed = 3 + 1 = 4 miles per hour i . e . distance walked on second day = 5 * 4 = 20 miles third day time of walk = 6 hours and speed = 4 miles per hour i . e . distance walked on second day = 6 * 4 = 24 miles total distance travelled on three days = 18 + 20 + 24 = 62 answer : option e" + }, + { + "Answer": 12.205128205128204, + "Options": "a ) 14.83 , b ) 12.2 , c ) 14.8 , d ) 14.82 , e ) 14.12", + "Correct": "b", + "Explanation": "\"explanation : since 312 inch = 136 km so 1 inch = 136 / 312 km so 28 inch = ( 136 \u00e3 \u2014 28 ) / 312 = 12.2 km answer : b\"" + }, + { + "Answer": 8, + "Options": "a ) 5 , b ) 6 , c ) 8 , d ) 4 , e ) 1", + "Correct": "c", + "Explanation": "s = 4 m = x ds = x + 4 us = x - 4 6 / ( x + 4 ) + 6 / ( x - 4 ) = 2 x = 8 answer : c" + }, + { + "Answer": 22.5, + "Options": "a ) 20.5 , b ) 21.5 , c ) 22.5 , d ) 23.5 , e ) 24.5", + "Correct": "c", + "Explanation": "in 18 minutes , cathy runs 3 miles . in 45 minutes , jim runs 4.5 miles . cathy can catch jim at a rate of 4 miles per hour . since jim is ahead by 1.5 miles , it will take cathy 1.5 / 4 hours = 22.5 minutes to catch jim . the answer is c ." + }, + { + "Answer": 55, + "Options": "a ) 72 kmph , b ) 55 kmph , c ) 50 kmph , d ) 80 kmph , e ) 82 kmph", + "Correct": "b", + "Explanation": "\"s = ( 65 + 45 ) / 2 = 55 kmph answer : b\"" + }, + { + "Answer": 8, + "Options": "a ) 4 min , b ) 2 min , c ) 8 min , d ) 9 min , e ) 3 min", + "Correct": "c", + "Explanation": "\"s = 600 / 40 = 15 mps s = 7200 / 15 = 480 sec = 8 min . answer : c\"" + }, + { + "Answer": 94.73684210526315, + "Options": "a ) 71.5 , b ) 72 , c ) 72.5 , d ) 73 , e ) 94.7", + "Correct": "e", + "Explanation": "\"many approaches are possible , one of them : let the distance be 1 kilometer . time to cover this distance at 100 kilometers per hour is 1 / 100 hours = 3,600 / 100 seconds = 36 seconds ; time to cover this distance at regular speed is 36 + 2 = 38 seconds = 38 / 3,600 hours = 4 / 379 hours ; so , we get that to cover 1 kilometer 1 / ( 4 / 379 ) hours is needed - - > regular speed 94.7 kilometers per hour ( rate is a reciprocal of time or rate = distance / time ) . answer : e .\"" + }, + { + "Answer": 30.000000000000007, + "Options": "a ) 30 , b ) 20 , c ) 10 , d ) 6 , e ) 5", + "Correct": "a", + "Explanation": "\"a ' s 1 hour ' s work = 1 / 5 ; ( b + c ) ' s 1 hour ' s work = 1 / 3 ; ( a + c ) ' s 1 hour ' s work = 1 / 2 . ( a + b + c ) ' s 1 hour ' s work = ( 1 / 5 + 1 / 3 ) = 8 / 15 . b ' s 1 hour ' s work = ( 8 / 15 - 1 / 2 ) = 1 / 30 . therefore a alone will take 30 hours to do the work . a\"" + }, + { + "Answer": 25, + "Options": "a ) 15 , b ) 24 , c ) 25 , d ) 26 , e ) 13", + "Correct": "c", + "Explanation": "day 0 - payment of $ 7 is made in the morning ( after 12 am midnight ) day 1 onwards ( after 12 am midnight ) internet service will begin and will run for 7 * 2 = 14 days i . e . at the end of day 15 balance will be zero . now lally can still use the internet till her debt reaches $ 5 which means total of 5 * 2 = 10 days . now the question states for how many days , including today , will she be connected to the internet without any additional payments i . e . we will have to include day 0 also in our final answer . therefore total no . of days = 1 + 14 + 10 = 25 = c" + }, + { + "Answer": 45, + "Options": "a ) 43 , b ) 44 , c ) 45 , d ) 46 , e ) 47", + "Correct": "c", + "Explanation": "$ 7 * 40 + $ 12 * x = $ 210 - - > x = 5 hours . total working hours = 40 + 5 = 45 answer : c ." + }, + { + "Answer": 9, + "Options": "a ) 8 days , b ) 6 days , c ) 7 days , d ) 9 days , e ) 1 days", + "Correct": "d", + "Explanation": "\"1 women ' s 1 day work = 1 / 126 1 child ' s 1 day work = 1 / 140 ( 5 women + 10 children ) ' s 1 day work = ( 5 / 126 + 10 / 140 ) = 1 / 9 5 women and 10 children will complete the work in 9 days . answer : d\"" + }, + { + "Answer": 72, + "Options": "a ) 88 kg , b ) 65 kg , c ) 72 kg , d ) 44 kg , e ) 55 kg", + "Correct": "c", + "Explanation": "( 3 * 4 ) / 48 = ( 9 * 2 ) / x x = 72 kg answer : c" + }, + { + "Answer": 0.125, + "Options": "a ) 1 / 8 , b ) 2 / 15 , c ) 3 / 15 , d ) 1 / 4 , e ) 3 / 8", + "Correct": "a", + "Explanation": "\"dan travels 8 miles round trip . running part : ( 4 / 10 * 60 = 24 minutes ) swimming part : ( 4 / 6 * 60 = 40 minutes ) 8 miles in ( 24 + 40 ) minutes 8 / 64 = 1 / 8 mile per minute answer : 1 / 8 mile per minute\"" + }, + { + "Answer": 360, + "Options": "a ) 127 , b ) 237 , c ) 360 , d ) 450 , e ) 281", + "Correct": "c", + "Explanation": "\"explanation : let the required no of hectares be x . then men - - - hectares - - - days 10 - - - - - - - - - 80 - - - - - - - - - 24 36 - - - - - - - - - x - - - - - - - - - 30 more men , more hectares ( direct proportion ) more days , more hectares ( direct proportion ) x = 36 / 10 * 30 / 24 * 80 x = 360 answer : c\"" + }, + { + "Answer": 6, + "Options": "a ) 2 , b ) 8 , c ) 1 , d ) 6 , e ) 5", + "Correct": "d", + "Explanation": "\"explanation : he covered 5 km in 1 hour , so he might cover 20 km in 4 hours . but he took 10 hours . he would have saved 10 \u2013 4 = 6 hours . answer : d\"" + }, + { + "Answer": 25.002, + "Options": "a ) 10 mps , b ) 76 mps , c ) 26 mps , d ) 97 mps , e ) 25 mps", + "Correct": "e", + "Explanation": "\"90 * 5 / 18 = 25 mps answer : e\"" + }, + { + "Answer": 44, + "Options": "a ) 22 hours , b ) 30 hours , c ) 44 hours , d ) 60 hours , e ) it can not be determined from the information above .", + "Correct": "c", + "Explanation": "\"say the rates of machines a , b and c are a , b , and c , respectively . together 15 type a machines and 7 type b machines can complete a certain job in 4 hours - - > 15 a + 7 b = 1 / 4 ; together 8 type b machines and 15 type c machines can complete the same job in 11 hours - - > 8 b + 15 c = 1 / 11 . sum the above : 15 a + 15 b + 15 c = 1 / 4 + 1 / 11 = 15 / 44 - - > reduce by 15 : a + b + c = 1 / 44 - - > so , the combined rate of the three machines is 1 / 44 job / hour - - > time is reciprocal of the rate , thus machines a , b and c can do the job w in 44 hours . answer : c .\"" + }, + { + "Answer": 19.999999999999996, + "Options": "a ) 70 m , b ) 80 km , c ) 20 km , d ) 10 km , e ) 73 km", + "Correct": "c", + "Explanation": "explanation : average speed = , here a = 25 b = 4 = 2 x 25 x 4 / ( 25 + 4 ) = 200 / 29 km / hr . distance covered in 5 hours 48 minutes = speed x time = ( 200 / 29 ) x ( 29 / 5 ) distance covered in 5 hours 48 minutes = 40 kms . distance of the post office from the village = ( 40 / 2 ) = 20 km . answer : c" + }, + { + "Answer": 34, + "Options": "a ) 34 , b ) 36 , c ) 38 , d ) 40 , e ) 42", + "Correct": "a", + "Explanation": "\"this one may look challenging initially , but all kinds of simplifying tricks . first of all , j & k have the same x - coordinate , so that \u2019 s a vertical segment , and the length is jk = 1 \u2013 ( \u2013 4 ) = 5 . l & m also have the same x - coordinate , so that \u2019 s also a vertical segment , and the length is lm = 7 \u2013 ( \u2013 4 ) = 11 . j & m have the same y - coordinate , so that \u2019 s also a horizontal segment , and the length is jm = 6 \u2013 ( \u2013 2 ) = 8 . right there , we have the lengths of three of the four sides . the last side to find is kl . from k = ( \u2013 2 , 1 ) , we have to go over 8 and up 6 to get to l = ( 6 , 7 ) , so 6 and 8 the legs of the right triangle , and kl is the hypotenuse . we recognize another common pythagorean triplet \u2014 ( 6 , 8 , 10 ) , which is a multiple of the ( 3 , 4 , 5 ) triplet . thus , without further calculations , we immediately know kl = 10 . perimeter = jk + kl + lm + jm = 5 + 10 + 11 + 8 = 34 answer = a\"" + }, + { + "Answer": 24.997600191984645, + "Options": "a ) 15 kmph , b ) 25 kmph , c ) 35 kmph , d ) 45 kmph , e ) 55 kmph", + "Correct": "b", + "Explanation": "\"let the speed of the train be x kmph speed of the train relative to man = x + 5 = ( x + 5 ) * 5 / 18 m / sec 50 / [ ( x + 5 ) * 5 / 18 ] = 6 30 ( x + 5 ) = 900 x = 25 kmph answer is b\"" + }, + { + "Answer": 200, + "Options": "a ) 375 m , b ) 750 m , c ) 200 m , d ) 800 m , e ) 300 m", + "Correct": "c", + "Explanation": "\"let length of train = l case - 1 : distance = 200 + l ( while crossing the bridge ) time = 10 seconds i . e . speed = distance / time = ( 200 + l ) / 10 case - 2 : distance = l ( while passing the lamp post ) time = 5 seconds i . e . speed = distance / time = ( l ) / 5 but since speed has to be same in both cases so ( 200 + l ) / 10 = ( l ) / 5 i . e . 2 l = l + 200 i . e . l = 200 answer : option c\"" + }, + { + "Answer": 180, + "Options": "a ) 180 , b ) 300 , c ) 270 , d ) 250 , e ) 350", + "Correct": "a", + "Explanation": "the other number = l . c . m * h . c . f / given number = 2310 * 30 / 385 = 180 answer is a ." + }, + { + "Answer": 230.03840000000002, + "Options": "a ) 230 m , b ) 240 m , c ) 260 m , d ) 270 m , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : speed = [ 72 x ( 5 / 18 ) ] m / sec = 20 m / sec . time = 24 sec . let the length of the train be x metres . then , [ ( x + 250 ) / 24 ] = 20 = > x + 250 = 480 = > x = 230 . answer : a\"" + }, + { + "Answer": 10.000000000000002, + "Options": "a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", + "Correct": "a", + "Explanation": "a remaining work can be completed by 20 men in 30 - 10 = 20 days . if 20 men can do x work in 20 days , and let us say 40 men take n days to do the same work . now , more men , less number of days ( inversely proportion ) 20 : 40 : : n : 20 n = 20 x 20 / 40 = 10 days ." + }, + { + "Answer": 34, + "Options": "a ) 22 , b ) 34 , c ) 77 , d ) 29 , e ) 21", + "Correct": "b", + "Explanation": "explanation : let the capacity of an engineer in p = x units , and in q = y units . working capacity of p = x \u00d7 32 \u00d7 20 working capacity of q = y \u00d7 16 \u00d7 30 as the total work is same , we equate the above equations . \u21d2 x \u00d7 32 \u00d7 20 = y \u00d7 16 \u00d7 30 \u21d2 xy = 16 \u00d7 3032 \u00d7 20 = 34 answer : b" + }, + { + "Answer": 111.11111111111109, + "Options": "a ) 111.12 m , b ) 221.12 m , c ) 271.12 m , d ) 611.12 m , e ) 191.12 m", + "Correct": "a", + "Explanation": "\"explanation : a runs 1000 m while b runs 900 m and c runs 800 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 800 ) / 900 = 8000 / 9 = 888.88 m . b can give c = 1000 - 888.88 = 111.12 m . answer : a\"" + }, + { + "Answer": 20.000000000000004, + "Options": "a ) 12 min , b ) 11 min , c ) 13 min , d ) 19 min , e ) 20 min", + "Correct": "e", + "Explanation": "due to stoppages , it covers 18 km less . time taken to cover 18 km is [ 18 / 54 * 60 ] min = 20 min answer is e ." + }, + { + "Answer": 175, + "Options": "a ) 300 , b ) 175 , c ) 360 , d ) 370 , e ) 380", + "Correct": "b", + "Explanation": "\"speed = 150 / 18 = 25 / 3 m / sec . let the length of the platform be x meters . then , ( x + 150 ) / 39 = 25 / 3 = > x = 325 m . l = 325 - 150 = 175 m answer : option b\"" + }, + { + "Answer": 5, + "Options": "a ) 3 , b ) 5 , c ) 8 , d ) 9 , e ) 6", + "Correct": "b", + "Explanation": "\"m = 4 s = 2 us = 4 - 2 = 2 d = 10 t = 10 / 2 = 5 answer : b\"" + }, + { + "Answer": 108, + "Options": "a ) 100 days . , b ) 108 days . , c ) 98 days . , d ) 47 days . , e ) 103 days .", + "Correct": "b", + "Explanation": "solution ( a \u2019 s 1 day \u2019 s work ) : ( b \u2019 s 1 day \u2019 s work ) = 2 : 1 . ( a + b ) ' s 1 day \u2019 s work = 1 / 36 divide 1 / 36 in the ratio 2 : 1 . \u2234 b \u2019 s 1 day \u2019 s work = ( 1 / 36 x 1 / 3 ) = 1 / 108 hence , b alone can finish the work in 108 days . answer b" + }, + { + "Answer": 29.997600191984642, + "Options": "a ) 28 sec , b ) 23 sec , c ) 29 sec , d ) 30 sec , e ) 36 sec", + "Correct": "d", + "Explanation": "\"d d = 150 + 150 = 300 s = 36 * 5 / 18 = 10 mps t = 300 / 10 = 30 sec\"" + }, + { + "Answer": 6, + "Options": "a ) 8 hours , b ) 6 hours , c ) 4 hours , d ) 5 hours , e ) 6 hours", + "Correct": "e", + "Explanation": "\"still water = 12 km / hr downstream = 48 / 3 = 16 km / hr upstream = > > still water = ( u + v / 2 ) = > > 12 = u + 16 / 2 = 8 km / hr so time taken in upstream = 48 / 8 = 6 hrs answer : e\"" + }, + { + "Answer": 29.997600191984642, + "Options": "a ) 22 , b ) 30 , c ) 88 , d ) 26 , e ) 12", + "Correct": "b", + "Explanation": "\"speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 500 * 3 / 50 = 30 sec . answer : b\"" + }, + { + "Answer": 96, + "Options": "a ) 18 , b ) 27 , c ) 96 , d ) 27 , e ) 21", + "Correct": "c", + "Explanation": "\"let the pipe b be closed after x minutes . 30 / 6 - x / 24 = 1 = > x / 24 = 30 / 6 - 1 = 4 = > x = 4 * 24 = 96 . answer : c\"" + }, + { + "Answer": 91, + "Options": "a ) 91 , b ) 80 , c ) 96 , d ) 98 , e ) 90", + "Correct": "a", + "Explanation": "\"capacity of the tank = ( 13 \u00e3 \u2014 42 ) litre number of buckets required of capacity of each bucket is 17 litre = 13 \u00e3 \u2014 42 / 6 = 13 \u00e3 \u2014 7 = 91 answer is a\"" + }, + { + "Answer": 1, + "Options": "a ) 3 / 1 , b ) 3 / 1 , c ) 1 / 1 , d ) 3 / 5 , e ) 5 / 2", + "Correct": "c", + "Explanation": "\"let the speeds of the two trains be x m / sec and y m / sec respectively . then , length of the first train = 27 x meters , and length of the second train = 17 y meters . ( 27 x + 17 y ) / ( x + y ) = 22 = = > 27 x + 17 y = 22 x + 22 y = = > 5 x = 5 y = = > x / y = 1 / 1 . answer : c\"" + }, + { + "Answer": 6.666666666666666, + "Options": "a ) 6.67 hr , b ) 8 hr , c ) 8.5 hr , d ) 10 hr , e ) none of these", + "Correct": "a", + "Explanation": "\"solution : work done by all the tanks working together in 1 hour . 1 / 10 + 1 / 12 \u2212 1 / 30 = 3 / 20 hence , tank will be filled in 20 / 3 = 6.67 hour option ( a )\"" + }, + { + "Answer": 0.7142857142857143, + "Options": "a ) 1.32 hr , b ) 0.714 hrs , c ) 3.231 hrs , d ) 0.515 hrs , e ) 6.214 hrs", + "Correct": "b", + "Explanation": "\"to be ( 30 + 40 ) km apart , they take 1 hour to be 50 km apart , they take 1 / 70 * 50 = 0.714 hrs answer is b\"" + }, + { + "Answer": 4.977777777777778, + "Options": "a ) 3360 / 210 , b ) 3360 / 21 , c ) 3360 / 674 , d ) 3360 / 240 , e ) 3360 / 224", + "Correct": "c", + "Explanation": "person ( a ) ( b ) ( c ) ( a + b + c ) time - ( 15 ) ( 14 ) ( 16 ) rate - ( 224 ) ( 240 ) ( 210 ) ( 674 ) work - ( 3360 ) ( 3360 ) ( 3360 ) ( 3360 ) therefore a + b + c requires ( 3360 / 674 ) days to complete entire work = 3360 / 674 answer is c" + }, + { + "Answer": 90.00000000000001, + "Options": "a ) 75 % , b ) 90 % , c ) 100 % , d ) 120 % , e ) 125 %", + "Correct": "b", + "Explanation": "\"the radius of tank a is 9 / ( 2 * pi ) . the capacity of tank a is 10 * pi * 81 / ( 4 * pi ^ 2 ) = 405 / ( 2 * pi ) the radius of tank b is 10 / ( 2 * pi ) . the capacity of tank b is 9 * pi * 100 / ( 4 * pi ^ 2 ) = 450 / ( 2 * pi ) tank a / tank b = 405 / 450 = 9 / 10 = 90 % the answer is b .\"" + }, + { + "Answer": 12, + "Options": "a ) 5.2 hrs , b ) 2.9 hrs , c ) 12 hrs , d ) 7.2 hrs , e ) 1.4 hrs", + "Correct": "c", + "Explanation": "\"net part filled in 1 hour = ( 1 / 6 - 1 / 12 ) = 1 / 12 the cistern will be filled in 12 / 1 hrs i . e . , 12 hrs . answer : c\"" + }, + { + "Answer": 19.99840012798976, + "Options": "a ) 120 sec , b ) 198 sec , c ) 178 sec , d ) 20 sec , e ) 276 sec", + "Correct": "d", + "Explanation": "\"time taken to meet for the first time at the starting point = lcm { length of the track / speed of a , length of the track / speed of b } = lcm { 200 / ( 36 * 5 / 18 ) , 200 / ( 72 * 5 / 18 ) } = lcm ( 20 , 10 ) = 20 sec . answer : d\"" + }, + { + "Answer": 300, + "Options": "a ) 752 , b ) 799 , c ) 300 , d ) 750 , e ) 712", + "Correct": "c", + "Explanation": "\"speed = [ 36 * 5 / 18 ] m / sec = 10 m / sec ; time = 1 min . = 60 sec . let the length of the train and that of the platform be x meters . then , 2 x / 60 = 10 \u00e3 \u00a8 x = 10 * 60 / 2 = 300 answer : c\"" + }, + { + "Answer": 180, + "Options": "a ) 180 , b ) 150 , c ) 140 , d ) 100 , e ) 25", + "Correct": "a", + "Explanation": "\"original number of men = 15 * 60 / ( 60 - 55 ) = 180 answer is a\"" + }, + { + "Answer": 360, + "Options": "a ) 320 , b ) 330 , c ) 340 , d ) 350 , e ) 360", + "Correct": "e", + "Explanation": "\"relative speed = ( 108 - 54 ) * 5 / 18 = 3 * 5 = 15 mps . distance covered in 27 sec = 24 * 15 = 360 m . the length of the faster train = 360 m . answer : e\"" + }, + { + "Answer": 18, + "Options": "a ) 18 sec , b ) 20 sec , c ) 25 sec , d ) 30 sec , e ) 1 min", + "Correct": "a", + "Explanation": "\"speed = 50 * 5 / 18 = 125 / 9 m / sec time taken = 250 * 9 / 125 = 18 sec answer : a\"" + }, + { + "Answer": 60, + "Options": "a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60", + "Correct": "e", + "Explanation": "\"a - b = 120 miles b - c = 60 miles avg speed = 45 miles time taken for a - b 3 t and b - c be t avg speed = ( 120 + 60 ) / total time 45 = 180 / 4 t t = 60 b - c = 60 mph answer e\"" + }, + { + "Answer": 150, + "Options": "a ) 287 , b ) 369 , c ) 150 , d ) 279 , e ) 361", + "Correct": "c", + "Explanation": "\"3 x * 2 x = 3750 = > x = 25 2 ( 75 + 50 ) = 250 m 250 * 0.60 = rs . 150 answer : c\"" + }, + { + "Answer": 20000, + "Options": "a ) 16000 , b ) 18000 , c ) 20000 , d ) 22000 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : number of bricks = courtyard area / 1 brick area = ( 2500 \u00d7 1600 / 20 \u00d7 10 ) = 20000 option c\"" + }, + { + "Answer": 23.998080153587715, + "Options": "a ) 28 seconds , b ) 30 seconds , c ) 40 seconds , d ) 24 seconds , e ) 18 seconds", + "Correct": "d", + "Explanation": "speed = 60 km / hr = 60 * ( 5 / 18 ) m / sec = 150 / 9 m / sec total distance = 400 meter time = distance / speed = 400 * ( 9 / 150 ) = 24 seconds answer : d" + }, + { + "Answer": 28, + "Options": "a ) 4 , b ) 28 , c ) 15 , d ) 48 , e ) 63", + "Correct": "b", + "Explanation": "\"given : z = s ^ 2 + 2 s for 0 \u2264 s \u2264 7 z ( 5 ) = 5 ^ 2 + 2 * 5 = 35 z ( 7 ) = 7 ^ 2 + 2 * 7 = 63 therefore z ( 7 ) - z ( 3 ) = 63 - 35 = 28 km / hr option b\"" + }, + { + "Answer": 29, + "Options": "a ) a ) 11 , b ) b ) 18 , c ) c ) 24 , d ) d ) 29 , e ) d ) 36", + "Correct": "d", + "Explanation": "\"lets solve by creating equation . . w = 31 . . total = 50 . . not w = 50 - 31 = 19 . . now let people who were neither be x , so out of 19 who won nobel = x + 3 . . so x + x + 3 = 19 or x = 8 . . so who won nobel but not wolf = x + 3 = 11 . . but people who won both w and n = 13 . . so total who won n = 11 + 18 = 29 . . d\"" + }, + { + "Answer": 3, + "Options": "a ) 1 day , b ) 2 days , c ) 3 days , d ) 4 days , e ) 5 days", + "Correct": "c", + "Explanation": "\"the length of cloth painted by one man in one day = 48 / 4 \u00d7 2 = 6 m no . of days required to paint 36 m cloth by 6 men = 36 / 6 \u00d7 2 = 3 day . c\"" + }, + { + "Answer": 20, + "Options": "a ) 22 , b ) 20 , c ) 24 , d ) 26 , e ) 30", + "Correct": "b", + "Explanation": "\"ratio of times taken by mary and rosy = 130 : 100 = 13 : 10 suppose rosy takes x days to do the work . 13 : 10 : : 26 : x = > x = 20 days . hence , rosy takes 20 days to complete the work . answer : b\"" + }, + { + "Answer": 4.99960003199744, + "Options": "a ) 5 sec , b ) 4 sec , c ) 3 sec , d ) 6 sec , e ) 1 sec", + "Correct": "a", + "Explanation": "\"t = 50 / 36 * 18 / 5 = 5 sec answer : a\"" + }, + { + "Answer": 125, + "Options": "a ) 150 meter , b ) 145 meter , c ) 140 meter , d ) 125 meter , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : speed = 90 * ( 5 / 18 ) m / sec = 25 m / sec length of train ( distance ) = speed * time = 25 * 5 = 125 meter option d\"" + }, + { + "Answer": 60, + "Options": "a ) 16 , b ) 10 , c ) 6 , d ) 60 , e ) 50", + "Correct": "d", + "Explanation": "10 10 programmer 10 line 10 mins . 10 programmer 20 line 20 mins . . . . . 10 programmer 60 line 60 mins . answer : d" + }, + { + "Answer": 18, + "Options": "a ) 6 hours , b ) 8 hours , c ) 18 hours , d ) 24 hours , e ) 32 hours", + "Correct": "c", + "Explanation": "\"i believe the answer is c . please see below for explanation . if jamshid can paint a dence in 50 percent less time then taimour we can infer the following rate j = 2 t if working together they can do the job in 8 hours we can infer 1 = 2 t + t * 6 = > 1 / 18 working alone taimour can do the job in 1 = 1 / 18 * hours = > 18 answer c\"" + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 14 , c ) 16 , d ) 20 , e ) 18", + "Correct": "a", + "Explanation": "\"sol . speed of the first train = [ 120 / 10 ] m / sec = 12 m / sec . speed of the second train = [ 120 / 15 ] m / sec = 8 m / sec . relative speed = ( 12 + 8 ) = m / sec = 20 m / sec . \u2234 required time = ( 120 + 120 ) / 20 secc = 12 sec . answer a\"" + }, + { + "Answer": 131, + "Options": "a ) 116 \u00b0 f , b ) 125 \u00b0 f , c ) 131 \u00b0 f , d ) 138 \u00b0 f , e ) 145 \u00b0 f", + "Correct": "c", + "Explanation": "\"let f and c denote the temperature in fahrenheit and celsius respectively . ( f - 32 ) / ( 212 - 32 ) = ( c - 0 ) / ( 100 - 0 ) f = 9 c / 5 + 32 f = 9 ( 55 ) / 5 + 32 = 131 \u00b0 f the answer is c .\"" + }, + { + "Answer": 350.028, + "Options": "a ) 287 , b ) 600 , c ) 350 , d ) 276 , e ) 207", + "Correct": "c", + "Explanation": "\"126 kmph = 126 * 5 / 18 = 35 mps d = speed * time = 35 * 10 = 350 m . answer : c\"" + }, + { + "Answer": 474, + "Options": "a ) 2488 , b ) 378 , c ) 739 , d ) 474 , e ) 291", + "Correct": "d", + "Explanation": "explanation : area of 4 walls = 2 ( l + b ) h = 2 ( 10 + 7 ) x 5 = 170 sq m area of 2 doors and 3 windows = 2 ( 1 x 3 ) + ( 2 x 1.5 ) + 2 ( 1 x 1.5 ) = 12 sq m area to be planted = 170 - 12 = 158 sq m cost of painting = rs . 158 x 3 = rs . 474 answer : d" + }, + { + "Answer": 15, + "Options": "a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 17", + "Correct": "c", + "Explanation": "\"let t be the total time of the trip . 30 * 5 + 42 ( t - 5 ) = 38 t 4 t = 210 - 150 t = 15 the answer is c .\"" + }, + { + "Answer": 6.666666666666667, + "Options": "a ) 22 days , b ) 20 / 3 days , c ) 67 days , d ) 17 / 6 days , e ) 18 days", + "Correct": "b", + "Explanation": "\"c = 1 / 2 - 1 / 4 - 1 / 10 = 3 / 20 = > 20 / 3 days answer : b\"" + }, + { + "Answer": 672, + "Options": "a ) 252 kms , b ) 152 kms , c ) 672 kms , d ) 752 kms , e ) 152 kms", + "Correct": "c", + "Explanation": "explanation : total distance travelled in 12 hours = ( 45 + 47 + 49 + . . . . . upto 12 terms ) this is an a . p with first term , a = 45 , number of terms , n = 12 , d = 2 . required distance = 12 / 2 [ 2 x 45 + { 12 - 1 ) x 2 ] = 6 ( 112 ) = 672 kms . answer : c" + }, + { + "Answer": 55, + "Options": "a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60", + "Correct": "d", + "Explanation": "\"the time is the distance / speed . the time difference is 1 hour . 660 / v - 660 / ( v + 5 ) = 1 660 ( v + 5 ) - 660 v = ( v ) ( v + 5 ) 3300 = ( v ) ( v + 5 ) 55 * 60 = ( v ) ( v + 5 ) v = 55 mph the answer is d .\"" + }, + { + "Answer": 3.428571428571429, + "Options": "a ) 3.75 days , b ) 3.43 days , c ) 2.99 days , d ) 2.98 days , e ) 2.44 days", + "Correct": "b", + "Explanation": "\"1 / 6 + 1 / 8 = 7 / 24 24 / 7 = 3.43 days answer : b\"" + }, + { + "Answer": 320, + "Options": "a ) 200 m , b ) 225 m , c ) 320 m , d ) 250 m , e ) 240 m", + "Correct": "c", + "Explanation": "\"speed = [ 54 x 5 / 18 ] m / sec = [ 15 / 1 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 130 + x ) / 30 = 15 = > ( 130 + x ) = 450 = > x = 450 - 130 = 320 m answer : c\"" + }, + { + "Answer": 125, + "Options": "a ) 33 , b ) 88 , c ) 27 , d ) 125 , e ) 199", + "Correct": "d", + "Explanation": "4 / 3 \u00ef \u20ac * 5 * 5 * 5 = 4 / 3 \u00ef \u20ac * 1 * 1 * 1 * x x = 125 answer : d" + }, + { + "Answer": 234.9176, + "Options": "a ) 338 , b ) 234 , c ) 240 , d ) 881 , e ) 271", + "Correct": "b", + "Explanation": "\"d = 68 * 5 / 18 = 19 = 358 \u2013 124 = 234 answer : b\"" + }, + { + "Answer": 13, + "Options": "a ) 2 , b ) 8 , c ) 9 , d ) 11 , e ) 13", + "Correct": "e", + "Explanation": "\"explanation : total hours worked = 8 x 3 + 6 x 2 = 36 total earned = 468 . hourly wage = 468 / 36 = 13 answer : e\"" + }, + { + "Answer": 27, + "Options": "a ) 6 days , b ) 18 days , c ) 21 days , d ) 27 days , e ) 13 days", + "Correct": "d", + "Explanation": "\"we have the important relation , more work , more time ( days ) a piece of work can be done in 9 days . three times of work of same type can be done in 9 x 3 = 27 days answer d\"" + }, + { + "Answer": 137.5, + "Options": "a ) 140 m , b ) 137.5 m , c ) 125.75 m , d ) 142.5 m , e ) 152.5 m", + "Correct": "b", + "Explanation": "v = x * t and s = y * t ^ 2 10 = x * 1 , hence x = 10 units ( 200 - 190 ) = y * 1 * 1 y = 10 when speed = 25 m / sec , time elapsed = 25 / 10 = 2.5 sec distance travelled by stone = 10 * ( 2.5 ) ^ 2 = 62.5 mts so distance of stone above ground = 200 - 62.5 = 137.5 mtrs answer : b" + }, + { + "Answer": 5, + "Options": "a ) 1 , b ) 3 , c ) 4 , d ) 5 , e ) 6", + "Correct": "d", + "Explanation": "\"the distance between the nest and the ditch is 250 meters . 15 times mean = a crow leaves its nest , and flies back ( going and coming back ) i . e . 2 times we get total 30 rounds . so the distance is 30 * 250 = 7500 . d = st 7500 / 1.5 = t , i think we can take 7500 meters as 7.5 km , then only we get t = 5 . ( 1000 meters = 1 km ) d )\"" + }, + { + "Answer": 91.9926405887529, + "Options": "a ) 50 , b ) 99 , c ) 88 , d ) 92 , e ) 12", + "Correct": "d", + "Explanation": "\"the distance to be covered = sum of their lengths = 380 + 540 = 920 m . relative speed = 72 - 36 = 36 kmph = 36 * 5 / 18 = 10 mps . time required = d / s = 920 / 10 = 92 sec . answer : d\"" + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "c", + "Explanation": "\"the number of hours required to complete the work is 8 * 8 * 18 = 1152 12 \u00d7 12 \u00d7 ( x ) = 1152 x = 8 the answer is c .\"" + }, + { + "Answer": 2.6666666666666665, + "Options": "a ) 8 / 3 , b ) 6 , c ) 5 , d ) 4 , e ) 3", + "Correct": "a", + "Explanation": "\"3 men can finish a work in 16 days , so in 1 day 3 men finish 1 / 16 th of work and in 1 day 1 men can finish , 1 / 48 th of work . similarly , in 1 day 1 women can finish 1 / 64 th of work . 12 men in 1 day can finish , 12 / 48 = 1 / 4 , 8 women in 1 day can finish = 8 / 64 = 1 / 8 1 / 4 + 1 / 8 = 3 / 8 . hence number of days to complete is 8 / 3 days . answer : a\"" + }, + { + "Answer": 18, + "Options": "a ) 18 , b ) 36 , c ) 28 , d ) 20 , e ) 24", + "Correct": "a", + "Explanation": "\"explanation : distance covered = 120 + 120 = 240 m time = 24 s let the speed of each train = v . then relative speed = v + v = 2 v 2 v = distance / time = 240 / 24 = 10 m / s speed of each train = v = 10 / 2 = 5 m / s = 5 \u00d7 36 / 10 km / hr = 18 km / hr answer : option a\"" + }, + { + "Answer": 65, + "Options": "a ) 72 kmph , b ) 65 kmph , c ) 30 kmph , d ) 80 kmph , e ) 82 kmph", + "Correct": "b", + "Explanation": "s = ( 85 + 45 ) / 2 = 65 kmph answer : b" + }, + { + "Answer": 32.99736021118311, + "Options": "a ) 12 sec , b ) 30 sec , c ) 33 sec , d ) 16 sec , e ) 18 sec", + "Correct": "c", + "Explanation": "\"speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 550 * 3 / 50 = 33 sec . answer : c\"" + }, + { + "Answer": 7200, + "Options": "a ) 6400 , b ) 6410 , c ) 6440 , d ) 7200 , e ) 6800", + "Correct": "d", + "Explanation": "\"number of bricks = volume of wall / volume of bricks = 900 x 600 x 22.5 / 25 x 11.25 x 6 = = 7200 answer : d\"" + }, + { + "Answer": 9, + "Options": "a ) 9 , b ) 8 , c ) 10 , d ) 8.5 , e ) 6", + "Correct": "a", + "Explanation": "\"63 / 7 = 9 a . 9\"" + }, + { + "Answer": 29.999999999999993, + "Options": "a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", + "Correct": "c", + "Explanation": "\"9 day 3 / 5 1 day 1 / 15 remaing 1 - 3 / 5 = 2 / 5 both can do 2 / 5 work in 4 day one day work of both = 1 / 10 therfor paul would take 1 / 10 - 1 / 15 = 1 / 30 or 30 days answer : c\"" + }, + { + "Answer": 0.5735294117647058, + "Options": "a ) 7 / 12 , b ) 8 / 41 , c ) 39 / 68 , d ) 1 / 8 , e ) 41 / 91", + "Correct": "c", + "Explanation": "- - - - - - - - - ui - - - - - - - - - - - - - - - - nui - - - - - - - total pt - - - - ( 12.5 / 100 ) * 104 = 13 - - - - - - - - - - - - - 54 npt - - - 104 - 13 - - - - - - - - - - - - - - x - - - - - - - - 286 total - - 104 - - - - - - - - - - - - - - - - - - - - - - - - - - - - 340 we have to find not part time and not uninsured . in other words not part time and insured = x / 340 = ( 286 - 104 + 13 ) / 340 = 39 / 68 answer is c ." + }, + { + "Answer": 6.666666666666666, + "Options": "a ) 10 / 3 , b ) 20 / 3 , c ) 15 / 7 , d ) 11 / 17 , e ) 1 / 4", + "Correct": "b", + "Explanation": "\"part filled by a in 1 hour = 1 / 10 part filled by b in 1 hour = 1 / 20 part filled by ( a + b ) in 1 hour = 1 / 10 + 1 / 20 = 3 / 20 both the pipes together fill the tank in 20 / 3 hours answer is b\"" + }, + { + "Answer": 5, + "Options": "a ) 8 days , b ) 4 days , c ) 5 days , d ) 10 days , e ) 17 days", + "Correct": "c", + "Explanation": "\"one man can consume the same food in 10 * 20 = 200 days . 30 more men join , the total number of men = 40 the number of days the food will last = 200 / 40 = 5 days . answer : c\"" + }, + { + "Answer": 10.799136069114471, + "Options": "a ) 15.8 sec , b ) 14.9 sec , c ) 12.4 sec , d ) 10.8 sec , e ) 11.8 sec", + "Correct": "d", + "Explanation": "\"d 16.8 sec d = 100 + 80 = 180 m s = 60 * 5 / 18 = 50 / 3 t = 180 * 3 / 50 = 10.8 sec\"" + }, + { + "Answer": 250.22747952684256, + "Options": "a ) 200 , b ) 250 , c ) 300 , d ) 330 , e ) none of these", + "Correct": "b", + "Explanation": "\"radius of the wheel of bus = 70 cm . then , circumference of wheel = 2 \u03c0 r = 140 \u03c0 = 440 cm distance covered by bus in 1 minute = 66 \u2044 60 \u00d7 1000 \u00d7 100 cms distance covered by one revolution of wheel = circumference of wheel = 440 cm \u2234 revolutions per minute = 6600000 / 60 \u00d7 440 = 250 answer b\"" + }, + { + "Answer": 0.6666666666666666, + "Options": "a ) 1 / 3 , b ) 2 / 3 , c ) 3 / 4 , d ) 5 / 4 , e ) 4 / 3", + "Correct": "b", + "Explanation": "no of cups leaked during the trip = 2 cups . no of cups harry drank = 3 cups . no of cups harry drank during the first 3 miles = 2 . drink / mile = 2 / 3 answer : b" + }, + { + "Answer": 8, + "Options": "a ) 8 min . , b ) 9 min . , c ) 10 min . , d ) 7 min . , e ) none of these", + "Correct": "a", + "Explanation": "in one min , ( a + b ) fill the cistern = 1 \u2044 12 + 1 \u2044 18 = 5 \u2044 36 th in 4 min , ( a + b ) fill the cistern = 5 \u2044 36 \u00d7 4 = 5 \u2044 9 th rest part = 1 - 5 \u2044 9 = 4 \u2044 9 th \u2235 1 \u2044 18 th part is filled by b in one min . \u2234 4 \u2044 9 th part is filled by b in 18 \u00d7 4 \u2044 9 = 8 min answer a" + }, + { + "Answer": 400, + "Options": "a ) 340 , b ) 360 , c ) 380 , d ) 400 , e ) 420", + "Correct": "d", + "Explanation": "\"the relative speed of jack and christina is 3 + 3 = 6 feet per second . the distance between them is 210 feet , hence they will meet in ( time ) = ( distance ) / ( relative speed ) = 240 / 6 = 40 seconds . for all this time lindy was running back and forth , so it covered ( distance ) = ( speed ) * ( time ) = 10 * 40 = 400 feet . answer : d .\"" + }, + { + "Answer": 77, + "Options": "a ) 77,43 kmph , b ) 80,80 kmph , c ) 80,42 kmph , d ) 80,40 kmph , e ) 83,40 kmph", + "Correct": "a", + "Explanation": "speed downstream = 60 + 17 = 77 kmph speed upstream = 60 - 17 = 43 kmph . answer : a" + }, + { + "Answer": 15.5, + "Options": "a ) 10.5 , b ) 15 , c ) 15.5 , d ) 30 , e ) 60", + "Correct": "c", + "Explanation": "\"the time it takes darcy to walk to work is ( 1.5 / 3 ) * 60 = 30 minutes the time it takes darcy to take the train is ( 1.5 / 20 ) * 60 + x = 4.5 + x minutes it takes 15 minutes longer to walk , so 30 = 4.5 + x + 10 x = 15.5 minutes answer : c\"" + }, + { + "Answer": 20, + "Options": "a ) 17 , b ) 18 , c ) 19 , d ) 20 , e ) 21", + "Correct": "d", + "Explanation": "in the last line it should be given the builder from chennai in numbering the 100 homes ? then ans is 20 answer : d" + }, + { + "Answer": 20, + "Options": "a ) 5 days , b ) 10 days , c ) 14 days , d ) 20 days , e ) 26 days", + "Correct": "d", + "Explanation": "\"explanation : work done by p in 1 day = 1 / 40 work done by q in 1 day = 1 / 24 work done by p in 8 days = 8 \u00e3 \u2014 ( 1 / 40 ) = 1 / 5 remaining work = 1 \u00e2 \u20ac \u201c 1 / 5 = 4 / 5 work done by p and q in 1 day = 1 / 40 + 1 / 24 = 1 / 15 number of days p and q take to complete the remaining work = ( 4 / 5 ) / ( 1 / 15 ) = 12 total days = 8 + 12 = 20 answer : option d\"" + }, + { + "Answer": 225, + "Options": "a ) 18 , b ) 225 , c ) 175 , d ) 216 , e ) 250", + "Correct": "b", + "Explanation": "\"total paint initially = 360 gallons paint used in the first week = ( 1 / 4 ) * 360 = 90 gallons . remaning paint = 270 gallons paint used in the second week = ( 1 / 2 ) * 270 = 135 gallons total paint used = 225 gallons . option b\"" + }, + { + "Answer": 12375, + "Options": "a ) $ 12375 , b ) $ 13575 , c ) $ 16575 , d ) $ 14575 , e ) $ 18575", + "Correct": "a", + "Explanation": "\"a area = 5.5 \u00d7 3.75 sq . metre . cost for 1 sq . metre . = $ 600 hence , total cost = 5.5 \u00d7 3.75 \u00d7 600 = $ 12375 a\"" + }, + { + "Answer": 148.936170212766, + "Options": "a ) 148.94 , b ) 148.13 , c ) 148.22 , d ) 111.0 , e ) 111.12", + "Correct": "a", + "Explanation": "\"a runs 1000 m while b runs 940 m and c runs 800 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 800 ) / 940 = 851.06 m . b can give c = 1000 - 851.06 = 148.94 m . answer : a\"" + }, + { + "Answer": 30, + "Options": "a ) 24 , b ) 30 , c ) 48 , d ) 54 , e ) 75", + "Correct": "b", + "Explanation": "speed = distance / time distance for john = speed * time = 40 * 1 / 2 = 20 miles distance for beth = distance for john + 5 = 20 + 5 = 25 miles time taken by beth = time taken by john + ( 1 / 3 hour ) = 1 / 2 + 1 / 3 = 5 / 6 speed of beth = d / t = 25 / ( 5 / 6 ) = 25 * 6 / 5 = 30 miles per hour hence , b is the answer ." + }, + { + "Answer": 45, + "Options": "a ) 28 seconds , b ) 27 seconds , c ) 45 seconds , d ) 26 seconds , e ) 18 seconds", + "Correct": "c", + "Explanation": "\"speed = 36 km / hr = 36 * ( 5 / 18 ) m / sec = 10 m / sec total distance = 250 + 200 = 450 meter time = distance / speed = 450 * ( 10 ) = 45 seconds answer : c\"" + }, + { + "Answer": 60, + "Options": "a ) 60 kmph , b ) 63 kmph , c ) 57 kmph , d ) 70 kmph , e ) 61 kmph", + "Correct": "a", + "Explanation": "time = 50 / 60 hr = 5 / 6 hr speed = 48 mph distance = s * t = 48 * 5 / 6 = 40 km time = 40 / 60 hr = 2 / 3 hr new speed = 40 * 3 / 2 kmph = 60 kmph answer is a ." + }, + { + "Answer": 45, + "Options": "a ) 35 m east , b ) 35 m north , c ) 30 m west , d ) 45 m west , e ) 45 m east", + "Correct": "e", + "Explanation": "the net distance is 20 + 25 = 45 meters to the east . the answer is e ." + }, + { + "Answer": 11.999999999999998, + "Options": "a ) 10 days , b ) 12 days , c ) 14 days , d ) 16 days , e ) 18 days", + "Correct": "b", + "Explanation": "2 persons can do work in 1 day = 1 / 8 first person can do work in 1 day = 1 / 24 second person can do work in 1 day = 1 / 8 - 1 / 24 = 1 / 12 so second person can finish work in 12 days answer : b" + }, + { + "Answer": 36, + "Options": "a ) 50 hrs , b ) 60 hrs , c ) 36 hrs , d ) 80 hrs , e ) 90 hrs", + "Correct": "c", + "Explanation": "\"time taken to full the cistern = ( 1 / 12 - 1 / 18 ) hrs = 1 / 36 = 36 hrs answer : c\"" + }, + { + "Answer": 10, + "Options": "a ) 2 , b ) 8 , c ) 9 , d ) 6 , e ) 10", + "Correct": "e", + "Explanation": "\"42 - - - 3 ds = 14 ? - - - - 1 18 - - - - 3 us = 6 ? - - - - 1 m = ? m = ( 14 + 6 ) / 2 = 10 answer : e\"" + }, + { + "Answer": 125.02000000000001, + "Options": "a ) 300 m , b ) 287 m , c ) 125 m , d ) 250 m , e ) 167 m", + "Correct": "c", + "Explanation": "rs = 50 \u00e2 \u20ac \u201c 40 = 10 * 5 / 18 = 25 / 9 mps t = 90 sec d = 25 / 9 * 90 = 250 m 125 - - - - - - - - 125 m answer : c" + }, + { + "Answer": 28, + "Options": "a ) 22 , b ) 28 , c ) 30 , d ) 27 , e ) 18", + "Correct": "b", + "Explanation": "\"us = 25 ds = 31 m = ( 31 + 25 ) / 2 = 28 answer : b\"" + }, + { + "Answer": 60, + "Options": "a ) 80 kmph , b ) 40 kmph , c ) 60 kmph , d ) 90 kmph , e ) 30 kmph", + "Correct": "c", + "Explanation": "c 60 kmph time = 50 / 60 hr = 5 / 6 hr speed = 48 mph distance = s * t = 48 * 5 / 6 = 40 km time = 40 / 60 hr = 2 / 3 hr new speed = 40 * 3 / 2 kmph = 60 kmph" + }, + { + "Answer": 10, + "Options": "a ) 11 , b ) 10 , c ) 9 , d ) 8 , e ) 7", + "Correct": "b", + "Explanation": "\"let sheila earn x dollars per hour so , on monday , wednesday and friday , she earns 8 x each and , on tuesday and thursday , she earns 6 x each in total , over the week she should earn , 3 ( 8 x ) + 2 ( 6 x ) = 36 x she earns $ 360 per week 36 x = 360 x = 10 correct option : b\"" + }, + { + "Answer": 1, + "Options": "a ) 1 meters , b ) 6 meters , c ) 5 meters , d ) 3 meters , e ) 7 meters", + "Correct": "a", + "Explanation": "\"400 rev / minute = 400 * 60 rev / 60 minutes = 24,000 rev / hour 24,000 * c = 24,000 m : c is the circumference c = 1 meters correct answer a\"" + }, + { + "Answer": 0.18333333333333335, + "Options": "a ) 8 / 17 , b ) 7 / 15 , c ) 3 / 15 , d ) 8 / 15 , e ) 11 / 60", + "Correct": "e", + "Explanation": "\"person ( a ) ( b ) ( a + b ) time - ( 15 ) ( 20 ) ( - ) rate - ( 20 ) ( 15 ) ( 35 ) work - ( 300 ) ( 300 ) ( 300 ) therefore a + b requires ( 300 / 35 ) days to complete entire work for 1 st 4 days they work 35 * 7 = 245 remaining work is 300 - 245 = 55 remaining fraction of work is = 55 / 300 = 11 / 60 answer e\"" + }, + { + "Answer": 330, + "Options": "a ) 715 , b ) 825 , c ) 330 , d ) 582 , e ) 465", + "Correct": "c", + "Explanation": "\"first number * second number = lcm * hcf other number = 2310 * 30 / 210 = 11 * 30 = 330 answer : c\"" + }, + { + "Answer": 255, + "Options": "a ) 235 , b ) 240 , c ) 245 , d ) 250 , e ) 255", + "Correct": "e", + "Explanation": "\"speed = 45 * 5 / 18 = 25 / 2 m / sec . time = 30 sec let the length of bridge be x meters . then , ( 120 + x ) / 30 = 25 / 2 x = 255 m . answer : option e\"" + }, + { + "Answer": 2, + "Options": "a ) 1 day , b ) 2 days , c ) 3 days , d ) 4 days , e ) 5 days", + "Correct": "b", + "Explanation": "14 men make toy in 5 days after 1 day 14 more worker join m 1 / m 2 = d 2 / d 1 14 / 28 = d 2 / 4 = 2 day answer : b" + }, + { + "Answer": 18, + "Options": "a ) 10 days , b ) 11 days , c ) 13 days , d ) 15 days , e ) 18 days", + "Correct": "e", + "Explanation": "\"8 men = 12 women ( i . e 2 men = 3 women ) 12 women 1 day work = 1 / 30 soln : 6 men ( 9 women ) + 11 women = 20 women = ? 1 women 1 day work = 12 * 30 = 1 / 360 so , 20 women work = 20 / 360 = 1 / 18 ans : 18 days answer : e\"" + }, + { + "Answer": 20, + "Options": "a ) 32 , b ) 15 , c ) 18 , d ) 20 , e ) 25", + "Correct": "d", + "Explanation": "\"relative speed = ( 420 / 18 ) m / s = ( 420 / 18 ) * ( 18 / 5 ) = 84 kmph speed of goods train = 84 - 64 = 20 kmph answer is d\"" + }, + { + "Answer": 77.5, + "Options": "a ) 76 kmph , b ) 75 kmph , c ) 77.5 kmph , d ) 56 kmph , e ) 86 kmph", + "Correct": "c", + "Explanation": "\"s = ( 95 + 60 ) / 2 = 77.5 kmph answer : c\"" + }, + { + "Answer": 32.5, + "Options": "a ) 7.5 , b ) 15 , c ) 17.5 , d ) 25 , e ) 32.5", + "Correct": "e", + "Explanation": "\"in 5 minutes , the cyclist travels a distance of ( 5 / 60 ) * 30 = 2.5 km . the time it takes the hiker to complete this distance is 2.5 / 4 hours = 37.5 minutes the cyclist needs to wait 37.5 - 5 = 32.5 minutes the answer is e .\"" + }, + { + "Answer": 100, + "Options": "a ) 120 metres , b ) 180 metres , c ) 324 metres , d ) 150 metres , e ) 100 meters", + "Correct": "e", + "Explanation": "\"speed = 40 x 5 / 18 m / sec = 100 / 9 m / sec . length of the train = ( speed x time ) . length of the train = 100 / 9 x 9 m = 100 m . answer : e\"" + }, + { + "Answer": 25, + "Options": "a ) 10 , b ) 12 , c ) 25 , d ) 18 , e ) 20", + "Correct": "c", + "Explanation": "\"work done by x in 8 days = 8 * 1 / 40 = 1 / 5 remaining work = 1 - 1 / 5 = 4 / 5 4 / 5 work is done by y in 20 days whole work will be done by y in 20 * 5 / 4 = 25 days answer is c\"" + }, + { + "Answer": 675, + "Options": "a ) 600 , b ) 500 , c ) 575 , d ) 655 , e ) 675", + "Correct": "e", + "Explanation": "let x be the number of days the company worked . then 25 x is the number of parts they planned to make . at the new production rate they made : 3 \u22c5 25 + ( x \u2212 3 ) \u22c5 30 = 75 + 30 ( x \u2212 3 ) therefore : 25 x = 75 + 30 ( x \u2212 3 ) \u2212 100 25 x = 75 + 30 x \u2212 90 \u2212 100 190 \u2212 75 = 30 x \u2212 25 115 = 5 x x = 23 so the company worked 23 days and they made 23 \u22c5 25 + 100 = 675 pieces . so answer is e ." + }, + { + "Answer": 3.694512960621597, + "Options": "['a ) 3.696 kg', 'b ) 3.686 kg', 'c ) 2.696 kg', 'd ) 2.686 kg', 'e ) none of these']", + "Correct": "a", + "Explanation": "explanation : in this type of question , we need to subtract external radius and internal radius to get the answer using the volume formula as the pipe is hollow . oh ! line become a bit complicated , sorry for that , lets solve it . external radius = 4 cm internal radius = 3 cm [ because thickness of pipe is 1 cm ] volume of iron = \u03c0 r 2 h = 22 / 7 \u2217 [ 42 \u2212 32 ] \u2217 21 cm 3 = 22 / 7 \u2217 1 \u2217 21 cm 3 = 462 cm 3 weight of iron = 462 * 8 = 3696 gm = 3.696 kg option a" + }, + { + "Answer": 210.0168, + "Options": "a ) 280 meter , b ) 240 meter , c ) 210 meter , d ) 200 meter , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : speed of the train = 54 km / hr = ( 54 \u00d7 10 ) / 34 m / s = 15 m / s length of the train = speed \u00d7 time taken to cross the man = 15 \u00d7 20 = 300 m let the length of the platform = l time taken to cross the platform = ( 300 + l ) / 15 = > ( 300 + l ) / 15 = 34 = > 300 + l = 15 \u00d7 34 = 510 = > l = 510 - 300 = 210 meter answer : option c\"" + }, + { + "Answer": 30, + "Options": "a ) 50 mph , b ) 45 mph , c ) 48 mph , d ) 30 mph , e ) 60 mph", + "Correct": "d", + "Explanation": "\"let t be the number of hours he would need to reach office on time . when he is driving with over speed , he reached office 4 min earlier ! so the equation for this is s ( t - 4 / 60 ) = 30 where s is the speed and 30 is the distance . if he decreases his speed by 5 mph then he would have reached his office on time : ( s - 5 ) t = 30 if you solve above equations , you will arrive at t = 2 / 3 hr and s = 30 mph therefore answer is d\"" + }, + { + "Answer": 34, + "Options": "a ) 13 seconds , b ) 17 seconds , c ) 26 seconds , d ) 34 seconds , e ) 51 seconds", + "Correct": "d", + "Explanation": "\"let t be the time that john spent for his final push . thus , per the question , 4.2 t = 3.7 t + 15 + 2 - - - > 0.5 t = 17 - - - > t = 34 seconds . d is the correct answer .\"" + }, + { + "Answer": 12, + "Options": "a ) 13 , b ) 17 , c ) 18 , d ) 19 , e ) 12", + "Correct": "e", + "Explanation": "\"let the leak can empty the full tank in x hours 1 / 6 - 1 / x = 1 / 12 = > 1 / x = 1 / 6 - 1 / 12 = ( 2 - 1 ) / 12 = 1 / 12 = > x = 12 . answer : e\"" + }, + { + "Answer": 42, + "Options": "a ) a ) 35 , b ) b ) 38 , c ) c ) 90 , d ) d ) 88 , e ) e ) 42", + "Correct": "e", + "Explanation": "\"let the number of correct answers be x . number of incorrect answers = ( 60 \u2013 x ) . 4 x \u2013 ( 80 \u2013 x ) = 130 = > 5 x = 210 = > x = 42 answer : e\"" + }, + { + "Answer": 20, + "Options": "a ) a ) 73 , b ) b ) 20 , c ) c ) 83 , d ) d ) 21 , e ) e ) 52", + "Correct": "b", + "Explanation": "\"explanation : 1 : 2 / 7 = 7 : 2 2 / 9 * 90 = 20 answer : option b\"" + }, + { + "Answer": 10725, + "Options": "a ) rs . 18725 , b ) rs . 16725 , c ) rs . 30725 , d ) rs . 10725 , e ) rs . 20725", + "Correct": "d", + "Explanation": "\"area = 6.5 * 2.75 sq . metre . cost for sq . metre . = rs . 600 hence , total cost = 6.5 * 2.75 * 600 = rs . 10725 answer : d\"" + }, + { + "Answer": 39, + "Options": "a ) 30 , b ) 39 , c ) 60 , d ) data inadequate , e ) none of these", + "Correct": "b", + "Explanation": "\"capacity of the tank = 26 \u00e3 \u2014 13.5 = 351 litres when the capacity of each bucket = 9 litres , then the required no . of buckets = 351 \u00e2 \u0081 \u201e 9 = 39 answer b\"" + }, + { + "Answer": 250.02, + "Options": "a ) 190 metres , b ) 160 metres , c ) 200 metres , d ) 120 metres , e ) 250 metres", + "Correct": "e", + "Explanation": "\"speed of the train , v = 40 km / hr = 40000 / 3600 m / s = 400 / 36 m / s time taken to cross , t = 22.5 s distance covered , d = vt = ( 400 / 36 ) \u00e3 \u2014 22.5 = 250 m distance covered is equal to the length of the train = 250 m correct answer is 250 metres e\"" + }, + { + "Answer": 201.06192982974676, + "Options": "a ) 201 , b ) 132 , c ) 772 , d ) 592 , e ) 261", + "Correct": "a", + "Explanation": "\"2 * 22 / 7 * 16 = 100.5 100.5 * 2 = rs . 201 answer : a\"" + }, + { + "Answer": 0.5, + "Options": "a ) 1.5 kmph , b ) 0.5 kmph , c ) 0.4 kmph , d ) 1.6 kmph , e ) 2.5 kmph", + "Correct": "b", + "Explanation": "speed upstream = 32 / 4 = 8 kmph speed down stream = 72 / 8 = 9 kmph speed of stream = \u00bd ( 9 - 8 ) = 0.5 kmph answer : b" + }, + { + "Answer": 540, + "Options": "a ) 520 , b ) 540 , c ) 550 , d ) 560 , e ) 440", + "Correct": "b", + "Explanation": "let the distance travelled be x km . total time = ( x / 2 ) / 45 + ( x / 2 ) / 30 = 15 = > x / 90 + x / 60 = 15 = > ( 2 x + 3 x ) / 180 = 15 = > x = 540 km answer : b" + }, + { + "Answer": 100.00000000000001, + "Options": "a ) 80 litres , b ) 90 litres , c ) 100 litres , d ) 170 litres , e ) none of these", + "Correct": "c", + "Explanation": "\"explanatory answer to cover a distance of 800 kms using a 800 cc engine , the amount of diesel required = 800 / 600 * 50 = 66.67 litres . however , the vehicle uses a 1200 cc engine and the question states that the amount of diesel required varies directly as the engine capacity . i . e . , for instance , if the capacity of engine doubles , the diesel requirement will double too . therefore , with a 1200 cc engine , quantity of diesel required = 1200 / 800 * 66.67 = 100 litres . answer c\"" + }, + { + "Answer": 12375, + "Options": "a ) rs . 12375 , b ) rs . 15550 , c ) rs . 15600 , d ) rs . 16500 , e ) none of these", + "Correct": "a", + "Explanation": "\"solution area of the floor = ( 5.5 \u00d7 3.75 ) m 2 = 20.625 m 2 \u2234 cost of paving = rs . ( 600 \u00d7 20.625 ) = 12375 . answer a\"" + }, + { + "Answer": 9, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "d", + "Explanation": "\"9 workers can build 1 car per day on average . 1 worker can build 1 / 9 of a car per day . 7 workers can build 7 / 9 car per day . the time required to build 7 cars is 7 / ( 7 / 9 ) = 9 days the answer is d .\"" + }, + { + "Answer": 11.999999999999998, + "Options": "a ) 10 min , b ) 12 min , c ) 15 min , d ) 20 min , e ) 18 min", + "Correct": "b", + "Explanation": "this question can be solved using the work formula : work = ( a ) ( b ) / ( a + b ) where a and b are the individual completion rates of the respective entities ( for the same job ) . we ' re told that one machine takes 10 minutes to complete a job and another machine takes 12 minutes to complete the same job . plugging in those values gets us . . . ( 20 ) ( 30 ) / ( 20 + 30 ) = 600 / 50 = 12 minutes answer is b" + }, + { + "Answer": 600, + "Options": "a ) 375 m , b ) 750 m , c ) 250 m , d ) 600 m , e ) 300 m", + "Correct": "d", + "Explanation": "\"let length of train = l case - 1 : distance = 1500 + l ( while crossing the bridge ) time = 70 seconds i . e . speed = distance / time = ( 1500 + l ) / 70 case - 2 : distance = l ( while passing the lamp post ) time = 20 seconds i . e . speed = distance / time = ( l ) / 20 but since speed has to be same in both cases so ( 1500 + l ) / 70 = ( l ) / 20 i . e . 1500 + l = 3.5 l i . e . 2.5 l = 1500 i . e . l = 600 answer : option d\"" + }, + { + "Answer": 9.333333333333334, + "Options": "a ) 22 days , b ) 28 / 3 days , c ) 67 days , d ) 17 / 5 days , e ) 18 days", + "Correct": "b", + "Explanation": "\"c = 1 / 2 - 1 / 4 - 1 / 7 = 3 / 28 = > 28 / 3 days answer : b\"" + }, + { + "Answer": 172.7875959474386, + "Options": "a ) 188 , b ) 172 , c ) 278 , d ) 279 , e ) 222", + "Correct": "b", + "Explanation": "\"2 * 22 / 7 * 11 = 69 69 * 2 1 / 2 = rs . 172 answer : b\"" + }, + { + "Answer": 1, + "Options": "a ) 9 , b ) 8 , c ) 10 , d ) 1 , e ) 6", + "Correct": "d", + "Explanation": "\"12 / 12 = 1 answer : d\"" + }, + { + "Answer": 2520, + "Options": "a ) rs . 2420 , b ) rs . 2500 , c ) rs . 2520 , d ) rs . 2020 , e ) rs . 2650", + "Correct": "c", + "Explanation": ". let the required wages be rs . x . more men , more wages ( direct proportion ) less days , less wages ( direct proportion ) men 6 : 9 : : 2100 : x days 15 : 12 therefore ( 6 x 15 x x ) = ( 9 x 12 x 2100 ) \uf0f3 x = ( 9 x 12 x 2100 ) / ( 6 x 15 ) = 2520 hence the required wages are rs . 2520 . answer is c" + }, + { + "Answer": 1.5, + "Options": "a ) 1.7 , b ) 1.5 , c ) 1.3 , d ) 1.1 , e ) 1.2", + "Correct": "b", + "Explanation": "\"15 / 36 m / s = 15 / 36 * 18 / 5 = 3 / 2 = 1.5 kmph . answer : b\"" + }, + { + "Answer": 1, + "Options": "a ) 0 kmph , b ) 4 kmph , c ) 1 kmph , d ) 2.5 kmph , e ) 26 kmph", + "Correct": "c", + "Explanation": "\"speed of the stream = 1 / 2 ( 10 - 8 ) kmph = 1 kmph . correct option : c\"" + }, + { + "Answer": 55, + "Options": "a ) 46 m , b ) 55 m , c ) 58 m , d ) 78 m , e ) 80 m", + "Correct": "b", + "Explanation": "\"let breadth = x metres . then , length = ( x + 10 ) metres . perimeter = 5300 / 26.5 = 200 m . 2 [ ( x + 10 ) + x ] = 200 2 x + 10 = 100 2 x = 90 x = 45 . hence , length = x + 10 = 55 m b\"" + }, + { + "Answer": 40, + "Options": "a ) 45 minutes , b ) 50 minutes , c ) 40 minutes , d ) 55 minutes , e ) 35 minutes", + "Correct": "c", + "Explanation": "\"as they arrived 40 minutes earlier than usual , they saved 40 minutes on round trip from home to station ( home - station - home ) - - > 20 minutes in each direction ( home - station ) - - > wife meets husband 20 minutes earlier the usual meeting time - - > husband arrived an hour earlier the usual meeting time , so he must have spent waking the rest of the time before their meeting , which is hour - 20 minutes = 40 minutes . answer : c\"" + }, + { + "Answer": 2.49980001599872, + "Options": "a ) 2.5 sec , b ) 4.25 sec , c ) 5 sec , d ) 12.5 sec , e ) none", + "Correct": "a", + "Explanation": "solution speed = ( 144 x 5 / 18 ) m / sec = 40 m / sec time taken = ( 100 / 40 ) sec = 2.5 sec . answer a" + }, + { + "Answer": 4.555555555555555, + "Options": "a ) 4.7 kmph , b ) 4.6 kmph , c ) 4 kmph , d ) 7 kmph , e ) 5.3 kmph", + "Correct": "b", + "Explanation": "\"distance covered by a in 30 min = 1 km b covers extra 1 km in 1 hour 48 minutes ( 9 / 5 hr ) i . e . relative speed of b over a = 1 / ( 9 / 5 ) = 5 / 9 so the speed of b = speed of a + 5 / 9 = 4 + 5 / 9 = 4.55 answer b\"" + }, + { + "Answer": 62, + "Options": "a ) 62 m 2 , b ) 50 m 2 , c ) 53.5 m 2 , d ) 55 m 2 , e ) 57 m 2", + "Correct": "a", + "Explanation": "\"area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 4 x 1.25 + 8 x 1.25 ) + 8 x 4 ] m 2 = 62 m 2 . answer : option a\"" + }, + { + "Answer": 38, + "Options": "a ) 33 , b ) 38 , c ) 99 , d ) 27 , e ) 71", + "Correct": "b", + "Explanation": "\"let the number of correct answers be x . number of incorrect answers = ( 60 \u2013 x ) . 4 x \u2013 ( 60 \u2013 x ) = 130 = > 5 x = 190 = > x = 38 answer : b\"" + }, + { + "Answer": 30, + "Options": "a ) 98 days , b ) 30 days , c ) 17 days , d ) 18 days , e ) 19 days", + "Correct": "b", + "Explanation": "\"wc = 1 : 2 2 x + x = 1 / 20 = > x = 1 / 60 2 x = 1 / 60 = > 30 days answer : b\"" + }, + { + "Answer": 380.03999, + "Options": "a ) 220 meter , b ) 225 meter , c ) 380 meter , d ) 435 meter , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : as trains are running in opposite directions so their relative speed will get added so , relative speed = 120 + 80 = 200 kmph = 200 * ( 5 / 18 ) = 500 / 9 m / sec let the length of other train is x meter then x + 120 / 9 = 500 / 9 = > x + 120 = 500 = > x = 380 so the length of the train is 380 meters option c\"" + }, + { + "Answer": 96, + "Options": "a ) 96 , b ) 100 , c ) 104 , d ) 108 , e ) 112", + "Correct": "a", + "Explanation": "\"originally , the distance the car could go on a full tank was 12 * 24 = 288 miles . after it has been modified , the car can go 24 / 0.75 = 32 miles per gallon . on a full tank , the car can go 32 * 12 = 384 miles , thus 96 miles more . the answer is a .\"" + }, + { + "Answer": 10, + "Options": "a ) 5 minutes , b ) 10 minutes , c ) 15 minutes , d ) 18 minutes , e ) 20 minutes", + "Correct": "b", + "Explanation": "\"you may set up common equation like this : job / a + job / b + job / c = job / x memorize this universal formula , you will need it definitely for gmat . and find x from this equation in this specific case , the equation will look like this : 40 / 40 + 40 / 30 + 40 / 24 = 40 / x if you solve this equation , you get the same answer b ( 10 )\"" + }, + { + "Answer": 6400, + "Options": "a ) 5600 , b ) 6000 , c ) 6400 , d ) 7200 , e ) none", + "Correct": "c", + "Explanation": "\"solution number of bricks = volume of the wall / volume of 1 brick = ( 800 x 600 x 22.5 / 25 x 11.25 x 6 ) = 6400 . answer c\"" + }, + { + "Answer": 209, + "Options": "a ) 335 cm 2 , b ) 209 cm 2 , c ) 285 cm 2 , d ) 825 cm 2 , e ) 725 cm 2", + "Correct": "b", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 11 ) = 209 cm 2 answer : b\"" + }, + { + "Answer": 5.999999999999999, + "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", + "Correct": "c", + "Explanation": "let total time taken by d to complete the job = d total time taken by a to complete the job = 3 work done by a in an hour 1 / a = 1 / 3 working together a and d can complete the job in 2 hours 1 / a + 1 / d = 1 / 2 = > 1 / d = 1 / 2 - 1 / a = 1 / 2 - 1 / 3 = 1 / 6 = > d = 6 hours answer c" + }, + { + "Answer": 3000, + "Options": "a ) 3,000 , b ) 2,700 , c ) 4,500 , d ) 5,400 , e ) 324,000", + "Correct": "a", + "Explanation": "\"together the two machines make 35 + 65 = 100 copies per minute . so , in half an hour they will make 100 * 30 = 3,000 copies . answer : a .\"" + }, + { + "Answer": 45, + "Options": "a ) 36 kmh , b ) 40 kmh , c ) 42 kmh , d ) 45 kmh , e ) 50 kmh", + "Correct": "d", + "Explanation": "assume d / 3 = 240 ( this number is convenient because it is divisible by 80 , 30 and 48 ) so : 240 = 80 * t 1 = 3 hrs 240 = 30 * t 2 = 8 hrs 240 = 48 * t 3 = 5 hrs t = t 1 + t 2 + t 3 = 16 hrs d = rt ( 240 * 3 ) = r * 16 r = 45 answer : d" + }, + { + "Answer": 150, + "Options": "a ) 288 , b ) 190 , c ) 150 , d ) 188 , e ) 12", + "Correct": "c", + "Explanation": "\"l = s * t s = 1400 / 100 s = 14 m / sec . total length ( d ) = 2100 m t = d / s t = 2100 / 14 t = 150 sec answer : c\"" + }, + { + "Answer": 80.00000000000001, + "Options": "a ) 90 % , b ) 50 % , c ) 60 % , d ) 70 % , e ) 80 %", + "Correct": "e", + "Explanation": "\"circumference of a = 2 ( pie ) r = 8 so r = 4 / pie volume = pie ( 4 / pie ) ^ 2 * 10 = 160 / pie circumference of b = 2 ( pie ) r = 10 so r = 5 / pie volume = pie ( 5 / pie ) ^ 2 * 8 = 200 / pie so ratio of capacities = 160 / 200 = 0.8 so capacity of a will be 80 % of the capacity of b answer : e\"" + }, + { + "Answer": 219.02999999999997, + "Options": "a ) 203 , b ) 211 , c ) 219 , d ) 227 , e ) 235", + "Correct": "c", + "Explanation": "speed = 45 km / h = 45000 m / 3600 s = 25 / 2 m / s in 30 seconds , the train can travel 25 / 2 * 30 = 375 meters 375 = length of train + length of bridge length of bridge = 375 - 156 = 219 meters the answer is c ." + }, + { + "Answer": 21, + "Options": "a ) 19 , b ) 20 , c ) 21 , d ) 22 , e ) 23", + "Correct": "c", + "Explanation": "\"halfway between the multiples of 14 , there will be another multiple of 7 . the total number of multiples of 7 is 11 + 10 = 21 . the answer is c .\"" + }, + { + "Answer": 16.5, + "Options": "a ) 16.5 minutes , b ) 33 minutes , c ) 49.5 minutes , d ) 66 minutes , e ) 99 minutes", + "Correct": "a", + "Explanation": "\"danny ' s time is 33 minutes . the time to reach halfway is 16.5 minutes . steve ' s time is 66 minutes . the time to reach halfway is 33 minutes . the time difference is 33 - 16.5 = 16.5 minutes the answer is a .\"" + }, + { + "Answer": 24.000000000000007, + "Options": "a ) 33 , b ) 88 , c ) 24 , d ) 99 , e ) 11", + "Correct": "c", + "Explanation": "1 / 6 - 1 / x = 1 / 8 x = 24 answer : c" + }, + { + "Answer": 150, + "Options": "a ) 145 , b ) 150 , c ) 175 , d ) 160 , e ) 130", + "Correct": "b", + "Explanation": "1 hr = 20 percent . thus 15 min = 5 percent . now to charge 50 percent 150 min . answer : b" + }, + { + "Answer": 3.694512960621597, + "Options": "a ) 3.6 kg , b ) 3.696 kg , c ) 36 kg , d ) 36.9 kg , e ) none", + "Correct": "b", + "Explanation": "\"solution external radius = 4 cm , internal radius = 3 cm . volume of iron = ( 22 / 7 \u00d7 ( 42 ) - ( 32 ) \u00d7 21 ) cm 3 = ( 22 / 7 \u00d7 7 \u00d7 1 \u00d7 21 ) cm 3 = 462 cm 3 . weight of iron = ( 462 x 8 ) gm = 3696 gm = 3.696 kg . answer b\"" + }, + { + "Answer": 12.88888888888889, + "Options": "a ) 12.88 , b ) 3.88 , c ) 13.88 , d ) 15 , e ) 18.8", + "Correct": "a", + "Explanation": "\"let the required number of days be x more persons , less days ( indirect proportion ) more hours , less days ( indirect proportion ) hence we can write as ( persons ) 29 : 30 } : : x : 16 ( hours ) 5 : 6 29 * 5 * 16 = 30 * 6 * x x = 12.88 answer : a\"" + }, + { + "Answer": 13.5, + "Options": "a ) 13.5 minutes , b ) 27 minutes , c ) 35 minutes , d ) 54 minutes , e ) 81 minutes", + "Correct": "a", + "Explanation": "\"danny ' s time is 27 minutes . the time to reach halfway is 13.5 minutes . steve ' s time is 54 minutes . the time to reach halfway is 27 minutes . the time difference is 27 - 13.5 = 13.5 minutes the answer is a .\"" + }, + { + "Answer": 986.2068965517242, + "Options": "a ) 700 m , b ) 978 m , c ) 970 m , d ) 986 m , e ) 640 m", + "Correct": "d", + "Explanation": "\"distance covered by amar = 22 / 58 ( 2.6 km ) = 11 / 29 ( 2600 ) = 986 m answer : d\"" + }, + { + "Answer": 125, + "Options": "['a ) 125', 'b ) 126', 'c ) 127', 'd ) 128', 'e ) 129']", + "Correct": "a", + "Explanation": "regular polygon . a polygon with equal sides and equal sides . divided by 5 to get the length of a side . it is the pentagon since it has 5 sides . so p = 5 \u00d7 s to get the perimeter , just multiply a side by 5 . since 25 \u00d7 5 = 125 , the perimeter is 125 . answer a" + }, + { + "Answer": 43.35, + "Options": "a ) 23.89 , b ) 72.9 , c ) 38.3 , d ) 43.35 , e ) 79.3", + "Correct": "d", + "Explanation": "explanation : let the initial quantity of milk in vessel be t litres . let us say y litres of the mixture is taken out and replaced by water for n times , alternatively . quantity of milk finally in the vessel is then given by [ ( t - y ) / t ] ^ n * t for the given problem , t = 60 , y = 9 and n = 2 . hence , quantity of milk finally in the vessel = [ ( 60 - 9 ) / 60 ] ^ 2 ( 60 ) = 43.35 litres . answer : option d" + }, + { + "Answer": 2000, + "Options": "a ) 2000 , b ) 4500 , c ) 5000 , d ) 8000 , e ) 9000", + "Correct": "a", + "Explanation": "\"number of bottles that can be held in a case = 25 number of cases required to hold 50000 bottles = 50000 / 25 = 2000 cases . so the answer is a = 2000\"" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 12 , e ) 14", + "Correct": "d", + "Explanation": "\"lets suppose anne and bruce take a and b hrs working separately so in 1 hour they can together finish 1 / a + 1 / b portion of the work which equals 1 / 4 ( as the work is completed in 4 hours ) after anne doubles her rate of work the portion completed by the both is 1 / a + 2 / b which is w equal to 1 / 3 ( as the work is completed in w = 3 hours ) solving these 2 equations we can find b as 12 so , d\"" + }, + { + "Answer": 37, + "Options": "a ) 39 \u00b0 c , b ) 44 \u00b0 c , c ) 37 \u00b0 c , d ) 42 \u00b0 c , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : t + w + t = 42 \u00d7 3 = 126 \u00b0 c w + t + f = 44 \u00d7 3 = 132 \u00b0 c also , temperature on friday = 43 \u00b0 c temperature on tuesday = 126 + 43 - 132 = 37 \u00b0 c answer : option c\"" + }, + { + "Answer": 2640, + "Options": "a ) 2430 , b ) 2640 , c ) 3300 , d ) 4860 , e ) 5400", + "Correct": "b", + "Explanation": "\"whatever : my take selecting team of 3 out of 12 to assign to the shifts = 12 c 3 = 220 ways . now 3 out of 12 means total of 4 group possible . so putting them in shifts = counting methode : first , second , third , alt , alt = 4 * 3 * 2 * 1 = 24 here alt and alt are the same : so 24 / 2 = 12 ways . total ways of selecting = ( selecting 3 out of 12 ) * arranging those teams in shifts = 220 * 24 = 2640 ans : b\"" + }, + { + "Answer": 3, + "Options": "a ) 3 : 1 , b ) 1 : 3 , c ) 2 : 4 , d ) 4 : 2 , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : let speed downstream = x kmph then speed upstream = 2 x kmph so ratio will be , ( 2 x + x ) / 2 : ( 2 x - x ) / 2 = > 3 x / 2 : x / 2 = > 3 : 1 option a\"" + }, + { + "Answer": 40, + "Options": "a ) 20 km , b ) 30 km , c ) 40 km , d ) 50 km , e ) 60 km", + "Correct": "c", + "Explanation": "\"number of stops in an hour : 60 / 5 = 12 distance between stops : 60 / 12 = 5 km distance between yahya ' s house and pinedale mall : 5 x 8 = 40 km imo , correct answer is ` ` c . ' '\"" + }, + { + "Answer": 5, + "Options": "a ) 2 . , b ) 4 . , c ) c = 5 . , d ) c = 6 . , e ) 8 .", + "Correct": "c", + "Explanation": "\"c . 5 hrs if there were 10 beavers it qould have taken double c = 6 hrs . . so closest to that option is 5 .\"" + }, + { + "Answer": 41.6, + "Options": "a ) 11 seconds , b ) 41.6 seconds , c ) 40 seconds , d ) 88 seconds , e ) 19 seconds", + "Correct": "b", + "Explanation": "\"speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 360 + 160 = 520 meter time = distance / speed = 520 * ( 2 / 25 ) = 41.6 seconds answer : b\"" + }, + { + "Answer": 100.00000000000001, + "Options": "a ) 90 min , b ) 100 min , c ) 110 min , d ) 120 min , e ) 130 min", + "Correct": "b", + "Explanation": "\"1 / 50 - ( 1 / 60 + 1 / 75 ) = - 1 / 100 third pipe can empty in 100 minutes answer : b\"" + }, + { + "Answer": 48, + "Options": "a ) 28 , b ) 36 , c ) 48 , d ) 50 , e ) 54", + "Correct": "c", + "Explanation": "\"as the ratio of the rates of a and b is 4 to 6 then the distance covered at the time of the meeting ( so after traveling the same time interval ) would also be in that ratio , which means that x would cover 4 / ( 4 + 6 ) = 4 / 10 of 120 miles : 120 * 4 / 10 = 48 miles . answer : c .\"" + }, + { + "Answer": 8, + "Options": "a ) 24 days , b ) 16 days , c ) 12 days , d ) 8 days , e ) none of these", + "Correct": "d", + "Explanation": "explanation : a + b 1 day work = 1 / 8 b + c 1 day work = 1 / 12 a + b + c 1 day work = 1 / 6 we can get a work by ( a + b + c ) - ( b + c ) and c by ( a + b + c ) - ( a + b ) so a 1 day work = 1 / 6 \u2212 1 / 12 = 1 / 12 similarly c 1 day work = 1 / 6 \u2212 1 / 8 = 4 \u2212 3 / 24 = 1 / 24 so a and c 1 day work = 1 / 12 + 1 / 24 = 3 / 24 = 1 / 8 so a and c can together do this work in 8 days option d" + }, + { + "Answer": 4, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", + "Correct": "b", + "Explanation": "\"total distance = 34 kms maxwell speed = 4 kms / hr maxwell travelled for 1 hour before brad started , therefore maxwell traveled for 4 kms in 1 hour . time taken = total distance / relative speed total distance after brad started = 30 kms relative speed ( opposite side ) ( as they are moving towards each other speed would be added ) = 6 + 4 = 10 kms / hr time taken to meet brad after brad started = 30 / 10 = 3 hrs distance traveled by maxwell = maxwell ' s speed * time taken = 4 * 3 = 12 + 4 = 16 kms . . . therefore total time taken by maxwell to meet brad = distance travelled by maxwell / maxwell ' s speed = 16 / 4 = 4 hrs . . . answer b\"" + }, + { + "Answer": 28, + "Options": "a ) 28 , b ) 56 , c ) 57 , d ) 58 , e ) none of these", + "Correct": "a", + "Explanation": "\"solution perimeter of the plot = 2 ( 90 + 50 ) = 280 m . \u2234 number of poles = [ 280 / 10 ] = 28 m answer a\"" + }, + { + "Answer": 16, + "Options": "a ) 16 m , b ) 18 m , c ) 15 m , d ) 14 m , e ) 11 m", + "Correct": "a", + "Explanation": "\"explanation : the difference in the timing of a and b is 5 seconds . hence , a beats b by 5 seconds . the distance covered by b in 5 seconds = ( 80 * 5 ) / 25 = 16 m hence , a beats b by 16 m . answer : a\"" + }, + { + "Answer": 1100, + "Options": "a ) 800 km , b ) 900 km , c ) 1000 km , d ) 1100 km , e ) 1200 km", + "Correct": "d", + "Explanation": "let the distance traveled by the first train be x km then distance covered by the second train is x + 100 km x / 50 = x + 100 / 60 x = 500 so the distance between a & b is x + x + 100 = 1100 km answer is d ." + }, + { + "Answer": 40, + "Options": "a ) 38 sec , b ) 35 sec , c ) 44 sec , d ) 40 sec , e ) 48 sec", + "Correct": "d", + "Explanation": "\"train length = 360 m platform length = 140 m time = ? length = speed * time total length = 360 + 140 = 500 m speed = 45 km / hr = 45 * ( 5 / 18 ) ( m / sec ) = 12.5 m / sec time = length / speed = 500 / 12.5 = 40 sec answer : d\"" + }, + { + "Answer": 1.7, + "Options": "a ) 1.7 , b ) 1.5 , c ) 1.3 , d ) 1.1 , e ) 1.2", + "Correct": "a", + "Explanation": "\"17 / 36 m / s = 17 / 36 * 18 / 5 = 17 / 10 = 1.7 kmph . answer : a\"" + }, + { + "Answer": 90, + "Options": "a ) 65 , b ) 90 , c ) 70 , d ) 75 , e ) 80", + "Correct": "b", + "Explanation": "let x per minute be the speed of a and y per minute be the speed of b . after meeting at a point , a travels for 32 mins and b travels for 50 mins . so distance covered by each of them post point of crossing a = 32 x and b = 50 y the distance covered by a and b before they cross each would be distance covered by b and a post crossing respectively . therefore distance covered by b before he meets a = 32 x time taken by b cover 32 x distance = 32 x / y mins therefore total time taken by b = 32 x / y + 50 mins . . . . . . . . . . . . . . . . . i we need to find value of x in terms of y to arrive at final answer . total distance = 32 x + 50 y combined speed of a and b = x + y therefore time taken before a and b meet en - route = ( 32 x + 50 y ) / ( x + y ) time taken by b reach destination after meeting a = 50 mins total travel time for b = [ ( 32 x + 50 y ) / ( x + y ) ] + 50 mins . . . . . . . . . . . . . . . . . . . ii equate i and ii 32 x / y + 50 = [ ( 32 x + 50 y ) / ( x + y ) ] + 50 ( 32 x + 50 y ) / y = ( 82 x + 100 y ) / ( x + y ) 32 x ^ 2 + 50 xy + 32 xy + 50 y ^ 2 = 82 xy + 100 y ^ 2 32 x ^ 2 + 82 xy - 82 xy + 50 y ^ 2 - 100 y ^ 2 = 0 32 x ^ 2 - 50 y ^ 2 = 0 32 x ^ 2 = 50 y ^ 2 16 x ^ 2 = 25 y ^ 2 taking square root . . ( since x and y denote speed , square root ca n ' t be negative ) 4 x = 5 y y = 4 x / 5 . . . . . . . . . . . . iii substitute in i = 32 x / ( 4 x / 5 ) + 50 = 32 x * 5 / 4 x + 50 = 40 + 50 = 90 mins b" + }, + { + "Answer": 17.998560115190784, + "Options": "a ) 12 sec , b ) 30 sec , c ) 86 sec , d ) 15 sec , e ) 18 sec", + "Correct": "e", + "Explanation": "\"speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 300 * 3 / 50 = 18 sec . answer : e\"" + }, + { + "Answer": 20, + "Options": "a ) a ) 5 , b ) b ) 10 , c ) c ) 20 , d ) d ) 30 , e ) e ) 40", + "Correct": "c", + "Explanation": "\"explanation : t = 15 / 45 * 60 = 20 answer : option c\"" + }, + { + "Answer": 500, + "Options": "a ) 500 , b ) 350 , c ) 828 , d ) 277 , e ) 122", + "Correct": "a", + "Explanation": "\"speed = 300 / 18 = 50 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 489 = 50 / 3 3 x + 900 = 2400 = > x = 500 m . answer : a\"" + }, + { + "Answer": 180, + "Options": "a ) 18 , b ) 180 , c ) 175 , d ) 216 , e ) 250", + "Correct": "b", + "Explanation": "\"total paint initially = 360 gallons paint used in the first week = ( 1 / 4 ) * 360 = 90 gallons . remaning paint = 270 gallons paint used in the second week = ( 1 / 3 ) * 270 = 90 gallons total paint used = 180 gallons . option b\"" + }, + { + "Answer": 20, + "Options": "a ) 20 , b ) 24 , c ) 30 , d ) 36 , e ) 48", + "Correct": "a", + "Explanation": "speed = 108 km / hr = > 108,000 m / hr in one minute = > 108000 / 60 = 1800 meters in one sec = > 1800 / 60 = 30 meters time = total distance need to be covered / avg . speed = > 600 / 30 = 20 and hence the answer : a" + }, + { + "Answer": 10.909090909090908, + "Options": "a ) 11 sec . , b ) 15 sec . , c ) 12 sec . , d ) 17 sec . , e ) 19 sec .", + "Correct": "a", + "Explanation": "\"speed of the first bullet train = 120 / 10 m / sec = 12 m / sec . speed of the second bullet train = 120 / 12 m / sec = 10 m / sec . relative speed = ( 12 + 10 ) = 22 m / sec . required time = ( 120 + 120 ) / 22 sec = 11 sec . a\"" + }, + { + "Answer": 28.000000000000004, + "Options": "a ) 25 cm , b ) 32 cm , c ) 14 cm , d ) 28 cm , e ) 21 cm", + "Correct": "d", + "Explanation": "\"let the radius is x cm perimeter of the sector = length of the arc + 2 ( radius ) 144 = ( 180 / 360 * 2 * 22 / 7 * x ) + 2 ( x ) 144 = 22 x / 7 + 2 x 144 = 36 x / 7 36 x = 1008 x = 28 answer : d\"" + }, + { + "Answer": 474, + "Options": "a ) rs . 229 , b ) rs . 429 , c ) rs . 129 , d ) rs . 474 , e ) rs . 111", + "Correct": "d", + "Explanation": "\"area of 4 walls = 2 ( l + b ) h = 2 ( 10 + 7 ) x 5 = 170 sq m area of 2 doors and 3 windows = 2 ( 1 x 3 ) + ( 2 x 1.5 ) + 2 ( 1 x 1.5 ) = 12 sq m area to be planted = 170 - 12 = 158 sq m cost of painting = rs . 158 x 3 = rs . 474 answer : d\"" + }, + { + "Answer": 18, + "Options": "a ) 18 , b ) 16 , c ) 15 , d ) 11 , e ) 12", + "Correct": "a", + "Explanation": "d = 100 + 150 = 250 m s = 50 * 5 / 18 = 125 / 9 t = 250 * 9 / 125 = 18 sec answer : a" + }, + { + "Answer": 42.5, + "Options": "a ) 49 m 2 , b ) 42.5 m 2 , c ) 53.5 m 2 , d ) 55 m 2 , e ) 57 m 2", + "Correct": "b", + "Explanation": "\"area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 4 x 1.25 + 5 x 1.25 ) + 5 x 4 ] m 2 = 42.5 m 2 . answer : option b\"" + }, + { + "Answer": 4, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "b", + "Explanation": "the speed of the train relative to the man = 90 + 9 = 99 km / h . 99000 m / h * 1 h / 3600 s = ( 990 / 36 ) m / s ( 110 m ) / ( 990 / 36 m / s ) = ( 110 * 36 ) / 990 = 36 / 9 = 4 seconds the answer is b ." + }, + { + "Answer": 180.0144, + "Options": "a ) 180 meter , b ) 240 meter , c ) 200 meter , d ) 260 meter , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : speed of the train = 54 km / hr = ( 54 \u00d7 10 ) / 32 m / s = 15 m / s length of the train = speed \u00d7 time taken to cross the man = 15 \u00d7 20 = 300 m let the length of the platform = l time taken to cross the platform = ( 300 + l ) / 15 = > ( 300 + l ) / 15 = 32 = > 300 + l = 15 \u00d7 32 = 480 = > l = 480 - 300 = 180 meter answer : option a\"" + }, + { + "Answer": 3, + "Options": "a ) 3 seconds , b ) 12 seconds , c ) 10 seconds , d ) 18 seconds , e ) 28 seconds", + "Correct": "a", + "Explanation": "\"b runs 56 m in 7 sec . = > b runs 80 m in 7 / 56 * 80 = 10 seconds since a beats b by 7 seconds , a runs 80 m in ( 10 - 7 ) = 3 seconds hence , a ' s time over the course = 3 seconds answer : a\"" + }, + { + "Answer": 5, + "Options": "a ) 2 days , b ) 3 days , c ) 4 days , d ) 5 days , e ) 1 days", + "Correct": "d", + "Explanation": "it will take 5 days for 100 people to build 100 houses . 1 person can build 1 house in 5 days . so , 100 people can build 100 houses in 5 days . answer d" + }, + { + "Answer": 65, + "Options": "a ) 50 , b ) 55 , c ) 60 , d ) 65 , e ) 70", + "Correct": "d", + "Explanation": "\"45 workers * 8 hours / 30 meters = x * 6 / 55 x = 110 total workers 110 - 45 = 65 new workers the answer is d .\"" + }, + { + "Answer": 40.800000000000004, + "Options": "a ) 38 sec , b ) 35 sec , c ) 44 sec , d ) 40.8 sec , e ) none of these", + "Correct": "d", + "Explanation": "\"speed = 45 km / hr = 45 \u00e3 \u2014 ( 5 / 18 ) m / s = 150 / 12 = 50 / 4 = 25 / 2 m / s total distance = length of the train + length of the platform = 360 + 150 = 510 meter time taken to cross the platform = 510 / ( 25 / 2 ) = 510 \u00e3 \u2014 2 / 25 = 40.8 seconds answer : d\"" + }, + { + "Answer": 52.63157894736844, + "Options": "a ) 111.12 , b ) 111.67 , c ) 111.64 , d ) 52.63 , e ) 101.12", + "Correct": "d", + "Explanation": "\"a runs 1000 m while b runs 950 m and c runs 900 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 900 ) / 950 = 947.37 m . b can give c = 1000 - 947.37 = 52.63 m . answer : d\"" + }, + { + "Answer": 47.99616030717543, + "Options": "a ) 48 , b ) 52 , c ) 38 , d ) 42 , e ) 45", + "Correct": "a", + "Explanation": "\"explanation : here distance d = 800 mts speed s = 63 - 3 = 60 kmph = 60 x 5 / 18 m / s time t = 800 x 18 / 60 x 5 = 48 sec . answer is a\"" + }, + { + "Answer": 707.1428571428571, + "Options": "a ) 708 m , b ) 707.14 m , c ) 774 m , d ) 714 m , e ) 744 m", + "Correct": "b", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 500 resolutions . = 500 * 2 * 22 / 7 * 22.5 = 70714 cm = 707.14 m answer : b\"" + }, + { + "Answer": 999.9999999999998, + "Options": "a ) 1 , b ) 10 , c ) 100 , d ) 1000 , e ) none", + "Correct": "d", + "Explanation": "\"sol . number of cubes = [ 100 * 100 * 100 / 10 * 10 * 10 ] = 1000 . answer d\"" + }, + { + "Answer": 8, + "Options": "a ) 8 days , b ) 9 days , c ) 11 days , d ) 13 days , e ) 15 days", + "Correct": "a", + "Explanation": "\"that is , 1 work done = 12 \u00d7 8 \u00d7 10 then , 12 8 \u00d7 10 = ? \u00d7 15 \u00d7 8 ? ( i . e . no . of men required ) = 12 \u00d7 8 \u00d7 10 / 15 \u00d7 10 = 8 days . a )\"" + }, + { + "Answer": 9828, + "Options": "a ) 728 , b ) 9828 , c ) 1404 , d ) 9882 , e ) none", + "Correct": "d", + "Explanation": "requirement of bananas for 1 day in the canteen = 13 dozens \u2234 requirement of bananas for 9 weeks i . e . 63 days = 63 \u00d7 13 dozens = 63 \u00d7 13 \u00d7 12 = 9828 . answer d" + }, + { + "Answer": 288, + "Options": "a ) 280 , b ) 282 , c ) 284 , d ) 286 , e ) 288", + "Correct": "e", + "Explanation": "\"length = speed * time speed = l / t s = 800 / 10 s = 80 m / sec speed = 80 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 288 kmph answer : e\"" + }, + { + "Answer": 280, + "Options": "a ) 280 , b ) 320 , c ) 360 , d ) 420 , e ) 480", + "Correct": "a", + "Explanation": "\"easy 280 is the answer . 3 / 4 ( x / 2 ) = 105 x = 105 * 8 / 3 = 280 . answer a\"" + }, + { + "Answer": 0.16666666666666666, + "Options": "a ) 1 / 4 , b ) 1 / 12 , c ) 1 / 18 , d ) 1 / 6 , e ) 1 / 2", + "Correct": "d", + "Explanation": "after first day , 1 / 3 of the contents remain . after second day , ( 1 / 3 ) - ( 1 / 4 ( 2 / 3 ) ) = ( 1 / 3 ) - ( 1 / 6 ) = 1 / 6 of the contents remain answer : d" + }, + { + "Answer": 6.856594329596489, + "Options": "a ) 6.75 sec , b ) 6.85 sec , c ) 6.55 sec , d ) 6.44 sec , e ) 7.85 sec", + "Correct": "b", + "Explanation": "\"solution speed = ( 126 x 5 / 18 ) m / sec = 35 m / sec time taken = ( 240 / 35 ) sec = 6.85 sec . answer b\"" + }, + { + "Answer": 18.598512119030477, + "Options": "a ) 18.6 sec , b ) 14.9 sec , c ) 12.4 sec , d ) 16.8 sec , e ) 11.8 sec", + "Correct": "a", + "Explanation": "\"a 18.6 sec d = 110 + 200 = 310 m s = 60 * 5 / 18 = 50 / 3 t = 310 * 3 / 50 = 18.6 sec answer is a\"" + }, + { + "Answer": 8, + "Options": "a ) 7 minute , b ) 9 minute , c ) 10 minute , d ) 8 minute , e ) 11 minute", + "Correct": "d", + "Explanation": "pipe a will work for 18 minutes . suppose pipe b is closed after x minutes than we have 18 / 24 + x / 32 = 1 x = 8 minute . answer : d" + }, + { + "Answer": 3.499720022398208, + "Options": "a ) 7.5 , b ) 6.5 , c ) 5.5 , d ) 4.5 , e ) 3.5", + "Correct": "e", + "Explanation": "\"speed = 180 * 5 / 18 = 50 m / sec time taken = 175 / 50 = 3.5 sec . answer : e\"" + }, + { + "Answer": 125, + "Options": "a ) 124 , b ) 125 , c ) 126 , d ) 127 , e ) none", + "Correct": "b", + "Explanation": "solution : 375 \u00f7 3 = 125 answer b" + }, + { + "Answer": 89.55, + "Options": "a ) rs . 89.55 , b ) rs . 59.70 , c ) rs . 85.56 , d ) rs . 88.56 , e ) none of these", + "Correct": "a", + "Explanation": "lcm of 12 and 18 is 36 no of untits of a is 3 units no of units of b is 2 units then 5 - - > 149.25 3 - - - > ? ( 3 * 149.25 ) / 5 = 89.55 answer : a" + }, + { + "Answer": 18.666666666666664, + "Options": "a ) 18.6 , b ) 27 , c ) 12 , d ) 121 , e ) 28", + "Correct": "a", + "Explanation": "\"explanation : t = 14 / 45 * 60 = 18.6 answer : option a\"" + }, + { + "Answer": 2, + "Options": "a ) 1.2 , b ) 1.4 , c ) 1.6 , d ) 1.8 , e ) 2", + "Correct": "e", + "Explanation": "the swimmer can swim against the current at a speed of 4 - 1 = 3 km / h . the time it will take is 6 / 3 = 2 hours . the answer is e ." + }, + { + "Answer": 10, + "Options": "a ) 12 , b ) 10 , c ) 13 , d ) 11 , e ) none of these", + "Correct": "b", + "Explanation": "explanation : let there be x men at the beginning . less men , more days ( indirect proportion ) 12 : 6 : : x : ( x - 5 ) 12 ( x - 5 ) = 6 x < = > 6 x = 60 x = 10 answer : b" + }, + { + "Answer": 15, + "Options": "a ) 3 sec , b ) 5 sec , c ) 15 sec , d ) 20 sec , e ) 25 sec", + "Correct": "c", + "Explanation": "3 rotates 3 , 6,9 , 12,15 5 rotates 5 , 10,15 ans is 15 answer : c" + }, + { + "Answer": 60, + "Options": "a ) s . 40 , b ) s . 60 , c ) s . 90 , d ) s . 100 , e ) s . 120", + "Correct": "b", + "Explanation": "\"explanation : amount earned by p , q and r in 1 day = 1710 / 9 = 190 - - - ( 1 ) amount earned by p and r in 1 day = 600 / 5 = 120 - - - ( 2 ) amount earned by q and r in 1 day = 910 / 7 = 130 - - - ( 3 ) ( 2 ) + ( 3 ) - ( 1 ) = > amount earned by p , q and 2 r in 1 day - amount earned by p , q and r in 1 day = 120 + 130 - 190 = 60 = > amount earned by r in 1 day = 60 answer : option b\"" + }, + { + "Answer": 40.00000000000001, + "Options": "a ) 76 hrs , b ) 99 hrs , c ) 55 hrs , d ) 90 hrs , e ) 40 hrs", + "Correct": "e", + "Explanation": "\"1 / 8 - 1 / x = 1 / 10 = > 40 hrs answer : e\"" + }, + { + "Answer": 42, + "Options": "a ) 20 sec , b ) 15 sec , c ) 42 sec , d ) 50 sec , e ) 1 min", + "Correct": "c", + "Explanation": "\"they meet every 630 / 7 + 8 = 42 sec answer is c\"" + }, + { + "Answer": 0.41666666666666663, + "Options": "a ) 1 / 3 , b ) 9 / 20 , c ) 8 / 15 , d ) 5 / 12 , e ) 2 / 3", + "Correct": "d", + "Explanation": "the two slowest people work at rates of 1 / 4 and 1 / 6 of the job per hour . the sum of these rates is 1 / 4 + 1 / 6 = 5 / 12 of the job per hour . the answer is d ." + }, + { + "Answer": 6, + "Options": "a ) 2 , b ) 4 , c ) 12 , d ) 6 , e ) 160", + "Correct": "d", + "Explanation": "\"actual miles / gallon is = 480 / 40 = 12 miles / gallon . current engine miles / gallon is 6 miles / gallon . additional 6 miles / gallon is required to match the actual mileage . imo option d .\"" + }, + { + "Answer": 3, + "Options": "a ) 4 mins , b ) 6 mins , c ) 5 mins , d ) 3 mins , e ) 7 mins", + "Correct": "d", + "Explanation": "\"a ' s rate is 1 / 12 and b ' s rate is 1 / 4 . the combined rate is 1 / 12 + 1 / 4 = 1 / 3 the pipes will fill the tank in 3 minutes . the answer is d .\"" + }, + { + "Answer": 11.519078473722104, + "Options": "a ) 12.59 , b ) 11.53 , c ) 15.69 , d ) 14.56 , e ) 18.98", + "Correct": "b", + "Explanation": "speed of the boat downstream = 22 + 3 = 25 kmph = 25 * 5 / 18 = 6.94 m / s hence time taken to cover 80 m = 80 / 6.94 = 11.53 seconds . answer : b" + }, + { + "Answer": 40, + "Options": "a ) s . 40 , b ) s . 70 , c ) s . 90 , d ) s . 100 , e ) s . 120", + "Correct": "a", + "Explanation": "\"explanation : amount earned by p , q and r in 1 day = 1890 / 9 = 210 - - - ( 1 ) amount earned by p and r in 1 day = 600 / 5 = 120 - - - ( 2 ) amount earned by q and r in 1 day = 910 / 7 = 130 - - - ( 3 ) ( 2 ) + ( 3 ) - ( 1 ) = > amount earned by p , q and 2 r in 1 day - amount earned by p , q and r in 1 day = 120 + 130 - 210 = 40 = > amount earned by r in 1 day = 40 answer : option a\"" + }, + { + "Answer": 7500, + "Options": "a ) 4500 m 3 , b ) 4580 m 3 , c ) 7500 m 3 , d ) 4900 m 3 , e ) 4700 m 3", + "Correct": "c", + "Explanation": "\"explanation : ( 5000 * 2 * 45 ) / 60 = 7500 m 3 answer : option c\"" + }, + { + "Answer": 53.99999999999999, + "Options": "a ) 72 , b ) 67 , c ) 54 , d ) 26 , e ) 27", + "Correct": "c", + "Explanation": "\"length = speed * time speed = l / t s = 300 / 20 s = 15 m / sec speed = 15 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 54 kmph answer : c\"" + }, + { + "Answer": 42, + "Options": "a ) 42 seconds , b ) 30 seconds , c ) 40 seconds , d ) 50 seconds , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 385 + 140 = 525 meter time = distance / speed = 525 \u2217 2 / 25 = 42 seconds option a\"" + }, + { + "Answer": 11, + "Options": "a ) 10 a . m , b ) 10.30 a . m , c ) 11 a . m , d ) 11.30 a . m , e ) none of these", + "Correct": "c", + "Explanation": "explanation : suppose they meet x hrs after 8 a . m then , [ distance moved by first in x hrs ] + [ distance moved by second in ( x - 1 ) hrs ] = 330 . therefore , 60 x + 75 ( x - 1 ) = 330 . = > x = 3 . so , they meet at ( 8 + 3 ) i . e , 11 a . m . answer : c" + }, + { + "Answer": 132, + "Options": "a ) 156 , b ) 167 , c ) 132 , d ) 352 , e ) 380", + "Correct": "c", + "Explanation": "\"the total number of stations = 12 from 12 stations we have to choose any two stations and the direction of travel ( i . e . , hyderabad to bangalore is different from bangalore to hyderabad ) in 12 p \u2082 ways . \u00b2 \u2070 p \u2082 = 12 * 11 = 132 . answer : c\"" + }, + { + "Answer": 17, + "Options": "a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 17", + "Correct": "e", + "Explanation": "\"length of longest pole = length of the diagonal of the room = sqrt ( 12 ^ 2 + 8 ^ 2 + 9 ^ 2 = sqrt ( 289 ) = 17 m . answer is e .\"" + }, + { + "Answer": 26.997840172786177, + "Options": "a ) 54 sec , b ) 65 sec , c ) 25 sec , d ) 45 sec , e ) 27 sec", + "Correct": "e", + "Explanation": "\"d = 100 + 170 = 270 s = 36 * 5 / 18 = 10 mps t = 270 / 10 = 27 sec answer : e\"" + }, + { + "Answer": 4, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", + "Correct": "b", + "Explanation": "\"16 / ( 2 * 2 ) = 4 days answer : b\"" + }, + { + "Answer": 23.998080153587715, + "Options": "a ) 21 sec , b ) 22 sec , c ) 23 sec , d ) 24 sec , e ) 26 sec", + "Correct": "d", + "Explanation": "\"s = d / t d = 140 + 260 = 400 m s = 60 * 5 / 18 m / sec = 50 / 3 m / sec t = 400 / ( 50 / 3 ) = 1200 / 50 = 24 sec answer : d\"" + }, + { + "Answer": 595, + "Options": "a ) s 595 , b ) s 780 , c ) s 880 , d ) s 480 , e ) s 980", + "Correct": "a", + "Explanation": "\"area of the plot = 110 m * 65 m = 7150 sq . m area of plot excluding gravel = 105 m * 60 m = 6300 sq . m area of gravel = 7150 sq . m - 6300 sq . m = 850 sq . m cost of building it = 850 sq . m * 70 = 59500 p in rs = 59500 / 100 = rs 595 answer : a\"" + }, + { + "Answer": 84, + "Options": "a ) 85 days , b ) 45 days , c ) 90 days , d ) 84 days , e ) 95 days", + "Correct": "d", + "Explanation": "malar - 35 days = > 1 / 35 roja - 60 days = > 1 / 60 malar one day work = 1 / 35 - 1 / 60 = 1 / 84 = = > 84 days answer d" + }, + { + "Answer": 18, + "Options": "a ) 18 , b ) 17 , c ) 16 , d ) 15 , e ) 14", + "Correct": "a", + "Explanation": "ans . 18 days" + }, + { + "Answer": 27.99999999999999, + "Options": "a ) 20 , b ) 22 , c ) 25 , d ) 28 , e ) 30", + "Correct": "d", + "Explanation": "\"work done by p and q in 1 day = 1 / 10 work done by r in 1 day = 1 / 35 work done by p , q and r in 1 day = 1 / 10 + 1 / 35 = 9 / 70 but work done by p in 1 day = work done by q and r in 1 day . hence the above equation can be written as work done by p in 1 day \u00e3 \u2014 2 = 9 / 70 = > work done by p in 1 day = 9 / 140 = > work done by q and r in 1 day = 9 / 140 hence work done by q in 1 day = 9 / 140 \u00e2 \u20ac \u201c 1 / 35 = 1 / 28 so q alone can do the work in 28 days answer is d .\"" + }, + { + "Answer": 120000, + "Options": "a ) 124545 m , b ) 134561 m , c ) 156787 m , d ) 15450 m , e ) 120000 m", + "Correct": "e", + "Explanation": "\"perimeter = distance covered in 8 min . = 12000 x 8 m = 1600 m . 60 let length = 1 x metres and breadth = 3 x metres . then , 2 ( 1 x + 3 x ) = 1600 or x = 200 . length = 200 m and breadth = 600 m . area = ( 600 x 200 ) m 2 = 120000 m e\"" + }, + { + "Answer": 30, + "Options": "a ) 25 days , b ) 88 days , c ) 30 days , d ) 11 days , e ) 13 days", + "Correct": "c", + "Explanation": "wc = 2 : 1 2 x + x = 1 / 10 x = 1 / 30 = > 30 days answer : c" + }, + { + "Answer": 17.998560115190788, + "Options": "a ) 16 seconds , b ) 34 seconds , c ) 14 seconds , d ) 18 seconds , e ) 15 seconds", + "Correct": "d", + "Explanation": "\"speed of the boat downstream = 9 + 3 = 12 kmph = 12 * 5 / 18 = 10 / 3 m / s hence time taken to cover 60 m = 60 * 3 / 10 = 18 seconds . answer : d\"" + }, + { + "Answer": 14, + "Options": "a ) 21 cm , b ) 15 cm , c ) 14 cm , d ) 24 cm , e ) 28 cm", + "Correct": "c", + "Explanation": "let radius = x cm perimeter of the sector = length of the arc + 2 ( radius ) 83 = ( 225 / 360 * 2 * 22 / 7 * x ) + 2 ( x ) 83 = 55 x / 14 + 2 x 83 = 83 x / 14 1162 = 83 x x = 14 answer : c" + }, + { + "Answer": 100.008, + "Options": "a ) 281 , b ) 125 , c ) 288 , d ) 100 , e ) 121", + "Correct": "d", + "Explanation": "\"d = 90 * 5 / 18 * 4 = 100 m answer : d\"" + }, + { + "Answer": 37, + "Options": "a ) 54.0 , b ) 54.9 , c ) 55.5 , d ) 37.0 , e ) 63.0", + "Correct": "d", + "Explanation": "\"let the distance travelled in the first hour be x . thus , 1.2 x = 12 , x = 10 . now , the distance travelled in the 3 rd hour = 12 + 1 / 4 \u00e2 \u02c6 \u2014 12 = 15 therefore 12 + 15 + 10 = 37 answer : d\"" + }, + { + "Answer": 844.7999999999998, + "Options": "a ) 844.8 m , b ) 704 m , c ) 774 m , d ) 714 m , e ) 744 m", + "Correct": "a", + "Explanation": "in one resolution , the distance covered by the wheel is its own circumference . distance covered in 600 resolutions . = 600 * 2 * 22 / 7 * 22.4 = 84480 cm = 844.8 m answer : a" + }, + { + "Answer": 0.7142857142857143, + "Options": "a ) 5 / 7 , b ) 3 / 10 , c ) 5 / 18 , d ) 5 / 16 , e ) 5 / 11", + "Correct": "a", + "Explanation": "\"3 m + 8 w = 6 m + 2 w 3 m = 6 w 1 m = 2 w therefore 3 m + 8 w = 14 w 4 m + 2 w = 10 w answer is 10 / 14 = 5 / 7 answer : a\"" + }, + { + "Answer": 60.000000000000014, + "Options": "a ) 20 , b ) 60 , c ) 30 , d ) 40 , e ) 50", + "Correct": "b", + "Explanation": "\"avery takes 3 hours tom takes 3 hours efficiency of avery is 1 / 3 units / hr efficiency of tom is 1 / 3 units / hr combined efficiency of tom and avery is 1 / 3 + 1 / 3 = 2 / 3 units / hr since they worked for 1 hour they completed 2 / 3 units of work and 1 / 3 units of work is left which is to be completed by tom ( since avery left ) so time taken by tom to complete the remaining work will be 1 / 3 / 1 / 3 hours = > 1 * 60 = 60 minutes . . . answer will be ( b )\"" + }, + { + "Answer": 245, + "Options": "a ) 200 m , b ) 225 m , c ) 245 m , d ) 250 m , e ) none", + "Correct": "c", + "Explanation": "\"sol . speed = [ 45 x 5 / 18 ] m / sec = ( 25 / 2 ) m / sec ; time = 30 sec . let the length of bridge be x metres . then , 130 + x / 30 = 25 / 2 \u21d4 2 ( 130 + x ) = 750 \u21d4 x = 245 m . answer c\"" + }, + { + "Answer": 56, + "Options": "a ) 82 , b ) 56 , c ) 80 , d ) 56 , e ) 100", + "Correct": "b", + "Explanation": "\"( 12 \u00e3 \u2014 14 \u00e3 \u2014 10 ) / ( 5 \u00e3 \u2014 3 \u00e3 \u2014 2 ) = 56 answer is b .\"" + }, + { + "Answer": 215, + "Options": "a ) 377 , b ) 367 , c ) 237 , d ) 215 , e ) 267", + "Correct": "d", + "Explanation": "\"speed = 45 * 5 / 18 = 25 / 2 m / sec . time = 30 sec let the length of bridge be x meters . then , ( 160 + x ) / 30 = 25 / 2 x = 215 m . answer : d\"" + }, + { + "Answer": 18, + "Options": "a ) 16 days . , b ) 17 days . , c ) 18 days . , d ) 19 days . , e ) 20 days .", + "Correct": "c", + "Explanation": "\"they together completed 4 / 10 work in 4 days . balance 6 / 10 work will be completed by arun alone in 30 * 6 / 10 = 18 days . answer : c\"" + }, + { + "Answer": 600, + "Options": "a ) 127 days , b ) 667 days , c ) 177 days , d ) 187 days , e ) 600 days", + "Correct": "e", + "Explanation": "\"1 man ' s 1 day work = 1 / 100 ( 10 men + 15 women ) ' s 1 day work = 1 / 8 15 women ' s 1 day work = ( 1 / 8 - 10 / 100 ) = 1 / 40 1 woman ' s 1 day work = 1 / 600 1 woman alone can complete the work in 600 days . answer : e\"" + }, + { + "Answer": 33.733333333333334, + "Options": "a ) 86.6 km , b ) 46.6 km , c ) 33.7 km , d ) 35.6 km , e ) 26.6 km", + "Correct": "c", + "Explanation": "\"speed downstream = ( 42 + 4 ) = 46 kmph time = 44 minutes = 44 / 60 hour = 11 / 15 hour distance travelled = time \u00d7 speed = 11 / 15 \u00d7 46 = 33.7 km answer : c\"" + }, + { + "Answer": 1.2, + "Options": "a ) 2.9 kmph , b ) 9.9 kmph , c ) 1.3 kmph , d ) 1.2 kmph , e ) 5.7 kmph", + "Correct": "d", + "Explanation": "\"1 / 3 m / s = 1 / 3 * 18 / 5 = 12 / 10 = 1.2 kmph . answer : d\"" + }, + { + "Answer": 900, + "Options": "a ) 299 , b ) 266 , c ) 299 , d ) 900 , e ) 261", + "Correct": "d", + "Explanation": "\"speed = [ 108 * 5 / 18 ] m / sec = 30 m / sec ; time = 1 min . = 60 sec . let the length of the train and that of the platform be x meters . then , 2 x / 60 = 30 = > x = 30 * 60 / 2 = 900 answer : d\"" + }, + { + "Answer": 0.32, + "Options": "a ) 8 / 25 , b ) 16 / 50 , c ) 17 / 50 , d ) 19 / 50 , e ) none", + "Correct": "a", + "Explanation": "\"answer 0.32 = 32 / 100 = 8 / 25 correct option : a\"" + }, + { + "Answer": 23, + "Options": "a ) 20 , b ) 21 , c ) 22 , d ) 23 , e ) 24", + "Correct": "d", + "Explanation": "\"halfway between the multiples of 14 , there will be another multiple of 7 . the total number of multiples of 7 is 12 + 11 = 23 . the answer is d .\"" + }, + { + "Answer": 4, + "Options": "a ) 3 , b ) 5 , c ) 4 , d ) 2 , e ) 6", + "Correct": "c", + "Explanation": "\"a rate = 1 / 6 b rate = 1 / 12 ( a + b ) rate = ( 1 / 6 ) + ( 1 / 12 ) = 1 / 4 a & b finish the work in 4 days correct option is c\"" + }, + { + "Answer": 120, + "Options": "a ) 12 kg , b ) 60 kg , c ) 72 kg , d ) 120 kg , e ) none", + "Correct": "d", + "Explanation": "\"solution volume of water displaced = ( 3 x 2 x 0.02 ) m 3 = 0.12 m 3 . mass of man = volume of water displaced \u00d7 density of water = ( 0.12 \u00d7 1000 ) kg = 120 kg . answer d\"" + }, + { + "Answer": 52.66245367037304, + "Options": "a ) 62 , b ) 72 , c ) 55 , d ) 82 , e ) 52.7", + "Correct": "e", + "Explanation": "\"explanation : t = ( 625 + 165 ) / 54 * 18 / 5 t = 52.7 answer : option e\"" + }, + { + "Answer": 14, + "Options": "a ) 14 , b ) 16 , c ) 18 , d ) 20 , e ) 22", + "Correct": "a", + "Explanation": "\"1 . no . of coaches = 9 sqr root = 3 speed decreases by 12 12 = k * 3 k = 4 no . of coaches = 16 swr root = 4 decrease = 4 * 4 = 16 new speed = 30 - 16 = 14 a\"" + }, + { + "Answer": 47.99999999999998, + "Options": "a ) 48 , b ) 39 , c ) 37 , d ) 27 , e ) 29", + "Correct": "a", + "Explanation": "simple one . let the total work to be done is 48 meters . now jake can dig 3 mts , paul can dig 2 mts a day . now all of them combined dug in 8 days so per day they dug 48 / 8 = 6 mts . so of these 8 mts , hari capacity is 1 mt . so he takes 48 / 1 = 48 days to complete the digging job . answer : a" + }, + { + "Answer": 3, + "Options": "a ) 1 : 2 , b ) 1 : 3 , c ) 2 : 1 , d ) 3 : 1 , e ) none", + "Correct": "d", + "Explanation": "\"sol . let man \u2019 s rate upstream be x kmph . then , his rate downstream = 2 x kmph . \u2234 ( speed in still water ) : ( speed of stream ) = [ 2 x + x / 2 ] : [ 2 x - x / 2 ] 3 x / 2 : x / 2 = 3 : 1 . answer d\"" + }, + { + "Answer": 0.1111111111111111, + "Options": "a ) 1 / 9 , b ) 3 / 10 , c ) 1 / 2 , d ) 5 / 6 , e ) 8 / 9", + "Correct": "a", + "Explanation": "a = 1 / 9" + }, + { + "Answer": 131, + "Options": "a ) 101 , b ) 116 , c ) m = 130 , d ) m = 131 , e ) m = 141", + "Correct": "d", + "Explanation": "sorry the answer m = 141 is d ." + }, + { + "Answer": 12, + "Options": "a ) 52 kmph . , b ) 62 kmph . , c ) 12 kmph . , d ) 80 kmph . , e ) none", + "Correct": "c", + "Explanation": "\"solution relative speed = ( 280 / 9 ) m / sec = ( 280 / 9 x 18 / 5 ) = 112 kmph . speed of the train = ( 112 - 100 ) kmph = 12 kmph . answer c\"" + }, + { + "Answer": 180, + "Options": "a ) 90 , b ) 180 , c ) 150 , d ) 240 , e ) 300", + "Correct": "b", + "Explanation": "\"2 d / 80 = 4.5 ( because time = 3 + 2.5 - 1 hrs ) = > d = 180 answer - b\"" + }, + { + "Answer": 10.8, + "Options": "a ) 11 , b ) 34 / 5 , c ) 44 / 5 , d ) 54 / 5 , e ) 12", + "Correct": "d", + "Explanation": "\"in such questions , you need to start from the end . last 4 days john works alone and completes 6 * ( 1 / 18 ) = 1 / 3 of the work . so 2 / 3 of the work should have been completed by the two of them together before jane left . their combined rate of work is 1 / 18 + 1 / 12 = 5 / 36 time taken to complete 2 / 3 of the work = ( 2 / 3 ) / ( 5 / 36 ) = 24 / 5 days . so total number of days taken to complete the work = 24 / 5 + 6 = 54 / 5 days . d\"" + }, + { + "Answer": 328, + "Options": "a ) 300 , b ) 318 , c ) 322 , d ) 328 , e ) 330", + "Correct": "d", + "Explanation": "\"to cover 50 miles the man needs ( time ) = ( distance ) / ( rate ) = 50 / 10 = 5 hours = 300 minutes . he will also rest 4 times ( after 10 , 20 , 30 and 40 miles ) , so total resting time = 4 * 7 = 28 minutes . total time = 300 + 28 = 328 minutes . answer : d .\"" + }, + { + "Answer": 65, + "Options": "a ) 28 , b ) 99 , c ) 728 , d ) 27 , e ) 271", + "Correct": "b", + "Explanation": "answer : b" + }, + { + "Answer": 72, + "Options": "a ) 65 , b ) 72 , c ) 44 , d ) 73 , e ) 89", + "Correct": "b", + "Explanation": "\"b i am 72 years old . let m be my age in years . if s is my son ' s age in years , then my son is 52 s weeks old . if g is my grandson ' s age in years , then my grandson is 365 g days old . thus , 365 g = 52 s . since my grandson is 12 g months old , 12 g = m . since my grandson , my son and i together are 120 years , g + s + m = 120 . the above system of 3 equations in 3 unknowns ( g , s and m ) can be solved as follows . m / 12 + 365 m / ( 52 x 12 ) + m = 120 or 52 m + 365 m + 624 m = 624 x 120 or m = 624 x 120 / 1041 = 72 . so , i am 72 years old .\"" + }, + { + "Answer": 340, + "Options": "a ) 340 meters , b ) 360 meters , c ) 420 meters , d ) 600 meters , e ) can not be determined", + "Correct": "a", + "Explanation": "\"speed of train = 72 * ( 5 / 18 ) = 20 m / s lets consider the man as a stationery point on the platform . crossing the point gives us the length of the train . lt = 20 * 18 = 360 m . crossing the platform gives us the length of trainlength of platform . l ( t + p ) = 20 * 35 = 700 m . so , length of platform = 700 - 360 = 340 m imo , answer a\"" + }, + { + "Answer": 7.5, + "Options": "a ) 6.5 , b ) 7.5 , c ) 8.5 , d ) 9.5 , e ) 10.5", + "Correct": "b", + "Explanation": "let t be the total time of the trip . 30 * 5 + 42 ( t - 5 ) = 34 t 8 t = 210 - 150 t = 7.5 the answer is b ." + }, + { + "Answer": 4.8, + "Options": "a ) 4 , b ) 4.8 , c ) 6 , d ) 6.25 , e ) 15", + "Correct": "b", + "Explanation": "\"distance walked in 1 hour and 15 mins = 6 miles speed per hour = distance / time = 6 / ( 5 / 4 ) = 4.8 miles per hour answer b\"" + }, + { + "Answer": 32, + "Options": "a ) 96 kmph , b ) 94 kmph , c ) 32 kmph , d ) 56 kmph , e ) 76 kmph", + "Correct": "c", + "Explanation": "\"s = 160 / 18 * 18 / 5 = 32 kmph answer : c\"" + }, + { + "Answer": 8, + "Options": "a ) 7 days , b ) 8 days , c ) 9 days , d ) 10 days , e ) 12 days", + "Correct": "b", + "Explanation": "if a can complete a work in x days and b can complete the same work in y days , then , both of them together can complete the work in x y / x + y days . that is , the required no . of days = 10 \u00d7 40 / 50 = 8 days . b )" + }, + { + "Answer": 12.5, + "Options": "a ) 10 m , b ) 12.5 m , c ) 12 m , d ) 13 m , e ) 14 m", + "Correct": "b", + "Explanation": "\"let the height of the building x metres . less lengthy shadow , less in the height ( direct proportion ) 40.25 : 28.75 : : 17.5 : x 40.25 x x = 28.75 x 17.5 x = 28.75 x 17.5 / 40.25 x = 12.5 answer : b\"" + }, + { + "Answer": 390.00000000000006, + "Options": "a ) $ 390 , b ) $ 520 , c ) $ 1080 , d ) $ 1170 , e ) $ 630", + "Correct": "a", + "Explanation": "\"explanatory answer a , b and c will share the amount of $ 1170 in the ratio of the amounts of work done by them . as a takes 6 days to complete the job , if a works alone , a will be able to complete 1 / 6 th of the work in a day . similarly , b will complete 1 / 8 th and c will complete 1 / 12 th of the work . so , the ratio of the work done by a : b : c when they work together will be equal to 1 / 6 : 1 / 8 : 1 / 12 multiplying the numerator of all 3 fractions by 24 , the lcm of 6 , 8 and 12 will not change the relative values of the three values . we get 24 / 6 : 24 / 8 : 24 / 12 = 4 : 3 : 2 . i . e . , the ratio in which a : b : c will share $ 1170 will be 4 : 3 : 2 . hence , b ' s share will be 3 * 1170 / 9 = 390 . correct choice is ( a )\"" + }, + { + "Answer": 6.4, + "Options": "a ) 4 , b ) 4.5 , c ) 6 , d ) 6.4 , e ) 15", + "Correct": "d", + "Explanation": "\"distance walked in 1 hour and 15 mins = 8 miles speed per hour = distance / time = 8 / ( 5 / 4 ) = 6.4 miles per hour answer d\"" + }, + { + "Answer": 720, + "Options": "a ) 600 , b ) 490 , c ) 720 , d ) 435 , e ) 679", + "Correct": "c", + "Explanation": "let x be the number of days in the initial plan . therefore , the whole field is 120 \u22c5 x hectares . the farmer had to work for x + 2 days , and he ploughed 85 ( x + 2 ) hectares , leaving 40 hectares unploughed . then we have the equation : 120 x = 85 ( x + 2 ) + 40 35 x = 210 x = 6 so the farmer planned to have the work done in 6 days , and the area of the farm field is 120 \u22c5 6 = 720 hectares correct answer c" + }, + { + "Answer": 50, + "Options": "a ) 20.3 , b ) 44.7 , c ) 50 , d ) 70 , e ) 120", + "Correct": "c", + "Explanation": "we have two right angle triangles with sides 20 and 15 the distance between starting and end point = sum of the hypotenuse of both the triangles . hypotenuse = [ 400 + 225 ] ^ ( 1 / 2 ) = 25 hence the total distance between end point and starting point = 25 + 25 = 50 correct option : c" + }, + { + "Answer": 270.0216, + "Options": "a ) 80 m , b ) 270 m , c ) 120 m , d ) 180 m , e ) none", + "Correct": "b", + "Explanation": "\"solution relative speed = ( 36 + 45 ) km / hr = ( 81 x 5 / 18 ) m / sec = ( 45 / 2 ) m / sec length of the train = ( 45 / 2 x 12 ) m = 270 m . answer b\"" + }, + { + "Answer": 500, + "Options": "a ) 500 , b ) 600 , c ) 700 , d ) 800 , e ) 900", + "Correct": "a", + "Explanation": "2 ( l + 400 ) = 1800 = > l = 500 m answer : a" + }, + { + "Answer": 45, + "Options": "a ) 45 , b ) 175 , c ) 210 , d ) 245 , e ) 280", + "Correct": "a", + "Explanation": "after driving at 15 miles per hourfor one hour , this distance left to cover is d - 15 . say this distance is x miles . now , we know that the difference in time between covering this distance at 15 miles per hour and 60 miles per hour is 1 + 1 / 2 = 3 / 2 hours . so , we have that x / 15 - x / 60 = 3 / 2 - - > 4 x / 60 - x / 60 = 3 / 2 - - > 3 x / 60 = 3 / 2 - - > x = 30 . total distance = x + 15 = 45 miles . answer : a" + }, + { + "Answer": 109.99999999999996, + "Options": "a ) 120 , b ) 105 , c ) 115 , d ) 110 , e ) 140", + "Correct": "d", + "Explanation": "originally let there be x men . less men , more days ( indirect proportion ) therefore ( x - 10 ) : x : : 100 : 110 = ( x - 10 ) x 110 - x ( 100 ) = 10 x = 1100 x = 110 answer is d ." + }, + { + "Answer": 150.79644737231007, + "Options": "a ) 150.84 , b ) 160.6 , c ) 150.45 , d ) 160.99 , e ) 180.4", + "Correct": "a", + "Explanation": "\"2 * 22 / 7 * 8 = 50.28 50.28 * 3 = rs . 150.84 answer : a\"" + }, + { + "Answer": 400.0000000000002, + "Options": "a ) rs . 300 , b ) rs . 400 , c ) rs . 500 , d ) rs . 600 , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : c ' s 1 day ' s work = 1 / 3 \u2212 ( 1 / 6 + 1 / 8 ) = ( 1 / 3 \u2212 7 / 24 ) = 1 / 24 a : b : c = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 c \u2032 sshare = 1 / 8 \u2217 3200 = 400 option b\"" + }, + { + "Answer": 2.4000000000000004, + "Options": "a ) 2.1 , b ) 2.4 , c ) 2.7 , d ) 3.0 , e ) 3.3", + "Correct": "b", + "Explanation": "the workers fill the truck at a rate of 1 / 6 + 1 / 4 = 10 / 24 = 5 / 12 of the truck per hour . then the time to fill one truck is 12 / 5 which is 2.4 hours . the answer is b ." + }, + { + "Answer": 34.46666666666666, + "Options": "a ) 86.6 km , b ) 46.6 km , c ) 34.5 km , d ) 35.6 km , e ) 26.6 km", + "Correct": "c", + "Explanation": "\"speed downstream = ( 42 + 5 ) = 47 kmph time = 44 minutes = 44 / 60 hour = 11 / 15 hour distance travelled = time \u00d7 speed = 11 / 15 \u00d7 47 = 34.5 km answer : c\"" + }, + { + "Answer": 21, + "Options": "a ) 23 , b ) 22 , c ) 21 , d ) 36 , e ) 48", + "Correct": "c", + "Explanation": "\"c 21 wc = 1 : 2 2 x + x = 1 / 14 = > x = 1 / 42 2 x = 1 / 21 = > 21 days\"" + }, + { + "Answer": 3.2142857142857144, + "Options": "a ) 2.92 , b ) 3.04 , c ) 3.12 , d ) 3.21 , e ) 3.35", + "Correct": "d", + "Explanation": "let x be the distance to big rock . time = x / 5 + x / 9 = 1 x = 45 / 14 = 3.21 km the answer is d ." + }, + { + "Answer": 9, + "Options": "a ) 6 days , b ) 8 days , c ) 9 days , d ) 7 days , e ) 5 days", + "Correct": "c", + "Explanation": "\"explanation : ( 1 man + 1 woman + 1 boy ) \u2019 s 1 day \u2019 s work = 1 / 3 1 man \u2019 s 1 day work = 1 / 6 1 womans 1 day \u2019 s work = 1 / 18 ( 1 man + 1 woman ) \u2018 s 1 day \u2019 s work = 1 / 6 + 1 / 18 = 2 / 9 therefore , 1 boys 1 day \u2019 s work = 1 / 3 \u2013 2 / 9 = 3 - 2 / 9 = 1 / 9 therefore , the boy alone can finish the work in 9 days . answer : option c\"" + }, + { + "Answer": 1800, + "Options": "a ) 1800 , b ) 800 , c ) 1100 , d ) 1200 , e ) 1900", + "Correct": "a", + "Explanation": "\"( 1 / 5 ) * 3000 = 600 remaining = 3000 - 600 = 2400 ( 1 / 4 ) of remaining = ( 1 / 4 ) * 2400 = 600 remaining now = 2400 - 600 = 1800 answer : option a\"" + }, + { + "Answer": 96, + "Options": "['a ) 94', 'b ) 95', 'c ) 96', 'd ) 97', 'e ) 98']", + "Correct": "c", + "Explanation": "every corner will have one , 4 corners will have 4 + and for 4 sides 23 no of nails = 4 + ( 4 * 23 ) = 96 answer : c" + }, + { + "Answer": 36, + "Options": "a ) 24 , b ) 36 , c ) 48 , d ) 22 , e ) 32", + "Correct": "b", + "Explanation": "\"20 men - working 4 hrs - cut 30 trees 1 men - working 1 hr - cuts = 30 / 20 * 4 thus 16 men - working 6 hrs - cut = 30 * 16 * 6 / 20 * 4 = 36 trees answer is b\"" + }, + { + "Answer": 210, + "Options": "a ) 100 kg , b ) 120 kg , c ) 89 kg , d ) 80 kg , e ) 210 kg", + "Correct": "e", + "Explanation": "\"volume of water displaced = ( 7 x 3 x 0.01 ) m 3 = 0.21 m 3 . mass of man = volume of water displaced x density of water = ( 0.21 x 1000 ) kg = 210 kg . answer : e\"" + }, + { + "Answer": 30.000000000000007, + "Options": "a ) 30 , b ) 45 , c ) 60 , d ) 90 , e ) 120", + "Correct": "a", + "Explanation": "\"whole trip = distance by foot + distance by bus + distance by car x = 1 / 3 x + 3 / 5 x + 2 x - 1 / 3 x - 3 / 5 x = 2 x = 30 km option : a\"" + }, + { + "Answer": 1300, + "Options": "a ) 1375 toys , b ) 2375 toys , c ) 1300 toys , d ) 1375 toys , e ) 2375 toys", + "Correct": "c", + "Explanation": "\"to find the number of toys produced every day , we divide the total number of toys produced in one week ( of 5 days ) by 5 . 6500 / 5 = 1300 toys correct answer c\"" + }, + { + "Answer": 61, + "Options": "a ) 51 m , b ) 61 m , c ) 71 m , d ) 81 m , e ) 91 m", + "Correct": "b", + "Explanation": "\"let breadth = x metres . then , length = ( x + 22 ) metres . perimeter = 5300 m = 200 m . 26.50 2 [ ( x + 22 ) + x ] = 200 2 x + 22 = 100 2 x = 78 x = 39 . hence , length = x + 22 = 61 m b\"" + }, + { + "Answer": 816, + "Options": "a ) 113 miles , b ) 432 miles , c ) 456 miles , d ) 816 miles , e ) 767 miles", + "Correct": "d", + "Explanation": "\"the number of miles to drive to finish his journey is given by 1200 - 384 = 816 miles correct answer d\"" + }, + { + "Answer": 1080, + "Options": "a ) rs 840 , b ) rs 1320 , c ) rs 1080 , d ) rs 1680 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : ( men 4 : 9 ) : ( hrs / day 10 : 6 ) : : 800 : x hence 4 * 10 * x = 9 * 6 * 800 or x = 9 * 6 * 800 / 4 * 10 = 1080 answer : c\"" + }, + { + "Answer": 250, + "Options": "a ) 298 m , b ) 250 m , c ) 208 m , d ) 988 m , e ) 299 m", + "Correct": "b", + "Explanation": "\"speed = 100 * 5 / 18 = 250 / 9 m / sec length of the train = speed * time = 250 / 9 * 9 = 250 m answer : b\"" + }, + { + "Answer": 8.999999999999998, + "Options": "a ) 7 days , b ) 3 days , c ) 9 days , d ) 8 days , e ) 2 days", + "Correct": "c", + "Explanation": "\"c 9 days c = 1 / 4 - 1 / 12 \u2013 1 / 18 = 1 / 9 = > 9 days\"" + }, + { + "Answer": 12, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", + "Correct": "d", + "Explanation": "dad ' s age = 4 m 5 * ( m - 3 ) = 4 m - 3 m = 12 the answer is d ." + }, + { + "Answer": 8, + "Options": "a ) 3 , b ) 7 , c ) 5 , d ) 8 , e ) 6", + "Correct": "d", + "Explanation": "\"m = 10 s = 8 us = 10 - 8 = 2 d = 16 t = 16 / 2 = 8 answer : d\"" + }, + { + "Answer": 26, + "Options": "a ) 25 , b ) 23 , c ) 22 , d ) 24 , e ) 26", + "Correct": "e", + "Explanation": "\"consider max starts from point a and brad starts from point b and move towards each other . assume they shall meet at point o after time ' t ' . the question asks us to find oa . from the question stem we can make out : - distance oa = 50 km - distance ob = > 2 xt = 65 - 3 xt ( i . e distance = speed x time ) = > 5 t = 65 hence t = 13 oa = 2 x 13 = 26 km answer : e\"" + }, + { + "Answer": 28, + "Options": "a ) 24 m , b ) 25 m , c ) 26 m , d ) 27 m , e ) 28 m", + "Correct": "e", + "Explanation": "a : b = 100 : 75 b : c = 100 : 96 . a : c = ( a / b x b / c ) = ( 100 / 75 x 100 / 96 ) = 100 / 72 = 100 : 72 . a beats c by ( 100 - 72 ) m = 28 m . answer : e" + }, + { + "Answer": 8, + "Options": "a ) 24 , b ) 42 , c ) 6 , d ) 8 , e ) 12", + "Correct": "d", + "Explanation": "\"60 - - - 10 ds = 6 ? - - - - 1 100 - - - - 10 us = 10 ? - - - - 1 m = ? m = ( 10 + 6 ) / 2 = 8 answer : d\"" + }, + { + "Answer": 120, + "Options": "a ) 550 , b ) 600 , c ) 650 , d ) 700 , e ) 120", + "Correct": "e", + "Explanation": "1 flash = 30 sec for 1 min = 2 flashes so for 1 hour = 2 * 60 = 120 flashes . answer : e" + }, + { + "Answer": 36, + "Options": "a ) 32 kmph , b ) 26 kmph , c ) 35 kmph , d ) 36 kmph , e ) 32 kmph", + "Correct": "d", + "Explanation": "cat take 10 hours and rat take 4 hours . . . then distance chased by them is 90 * 4 . so speed of rat is ( 90 * 4 ) / 10 = 36 kmph . answer is d" + }, + { + "Answer": 25, + "Options": "a ) 22 days , b ) 25 days , c ) 50 days , d ) 16 days , e ) 17 days", + "Correct": "b", + "Explanation": "\"one man can consume the same food in 10 * 50 = 500 days . 10 more men join , the total number of men = 20 the number of days the food will last = 500 / 20 = 25 days . answer : b\"" + }, + { + "Answer": 18, + "Options": "a ) 16 , b ) 17 , c ) 18 , d ) 19 , e ) 20", + "Correct": "c", + "Explanation": "\"on the way down , the rate is 1.5 * 6 = 9 miles per day . the distance of the route down the mountain is 2 * 9 = 18 miles . the answer is c .\"" + }, + { + "Answer": 60, + "Options": "a ) 30 km , b ) 40 km , c ) 50 km , d ) 60 km , e ) 70 km", + "Correct": "d", + "Explanation": "in 2 hours a covers ( 10 + 20 ) = 30 km b covers ( 5 + 10 ) = 15 km , total covered = 45 in the next hour they have to cover ( 90 - 45 ) km with the speeds 40 km / hr and 20 km / hr respectively let them take another t hrs to meet so sum of the distance to be covered by both is 45 km ( 40 * t ) + ( 20 * t ) = 45 km gives t = ( 3 / 4 ) hrs we need to fid out the distance covered by a which equals to = 30 + ( 40 * ( 3 / 4 ) ) = 60 km answer : d" + }, + { + "Answer": 4, + "Options": "a ) 2 hr , b ) 5 hr , c ) 7 hr , d ) 1 hr , e ) 4 hr", + "Correct": "e", + "Explanation": "\"net part filled in 1 hour 1 / 2 - 1 / 4 = 1 / 4 the cistern will be filled in 4 hr answer is e\"" + }, + { + "Answer": 18, + "Options": "a ) 15 , b ) 18 , c ) 77 , d ) 52 , e ) 42", + "Correct": "b", + "Explanation": "90 * 12 / 60 = 18 kmph answer : b" + }, + { + "Answer": 8, + "Options": "a ) 4 , b ) 5 , c ) 6 , d ) 8 , e ) 9", + "Correct": "d", + "Explanation": "\"explanation : let the required number of men be x . less days , more men ( indirect proportion ) more working hrs per day , less men ( indirect proportion ) days 8 : 10 working hrs 15 : 8 : : 12 : x = > 8 x 15 x x = 10 x 8 x 12 = > x = 10 x 8 x 12 / ( 8 x 15 ) = > x = 8 answer : d\"" + }, + { + "Answer": 25, + "Options": "a ) 5 , b ) 10 , c ) 16 , d ) 20 , e ) 25", + "Correct": "e", + "Explanation": "\"each length = 20 ' ' each piece = 4 ' ' cake could be divided to maximum of 25 pieces answer : e\"" + }, + { + "Answer": 150, + "Options": "a ) 170 meters , b ) 160 meters , c ) 150 meters , d ) 140 meters , e ) 130 meters", + "Correct": "c", + "Explanation": "if x ft is the distance of grain from 200 ft tall tower , then 150 ^ 2 + ( 350 - x ) ^ 2 = 200 ^ 2 + x ^ 2 then x = 150 meters answer : c" + }, + { + "Answer": 250.00000000000003, + "Options": "a ) 150 m , b ) 145 m , c ) 240 m , d ) 135 m , e ) 250 m", + "Correct": "e", + "Explanation": "\"speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 15 = 250 meter answer : e\"" + }, + { + "Answer": 12, + "Options": "a ) 3 , b ) 6 , c ) 9 , d ) 12 , e ) 15", + "Correct": "d", + "Explanation": "time taken by racing magic to make one circle = 120 seconds = 2 mins time taken by ` ` charging bull ' ' to make one circle = 60 mins / 40 = 1.5 mins = 90 seconds lcm of 90 and 120 seconds = 360 seconds = 6 mins time taken for them to meet at the starting point for the second time = 6 mins * 2 = 12 mins answer d" + }, + { + "Answer": 11.879049676025918, + "Options": "a ) 11.88 sec , b ) 13.8 sec , c ) 53.8 sec , d ) 10.8 sec , e ) 10.4 sec", + "Correct": "a", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 140 + 190 = 330 m . required time = 330 * 9 / 250 = 11.88 sec . answer : a :\"" + }, + { + "Answer": 62.5, + "Options": "a ) 52.5 , b ) 62.5 , c ) 72.5 , d ) 82.5 , e ) 81.5", + "Correct": "b", + "Explanation": "explanation : let the capacity of 1 bucket = x . then , capacity of tank = 25 x . new capacity of bucket = 2 / 5 x . required no of buckets = 25 x / ( 2 x / 5 ) = 62.5 answer is b" + }, + { + "Answer": 28, + "Options": "a ) 10 , b ) 25 , c ) 60 , d ) 30 , e ) 28", + "Correct": "e", + "Explanation": "\"a + b 10 days work = 10 * 1 / 40 = 1 / 4 remaining work = 1 - 1 / 4 = 3 / 4 3 / 4 work is done by a in 21 days whole work will be done by a in 21 * 4 / 3 = 28 days answer is e\"" + }, + { + "Answer": 0.027777777777777776, + "Options": "a ) 1 / 3 , b ) 1 / 4 , c ) 1 / 15 , d ) 3 / 8 , e ) 1 / 36", + "Correct": "e", + "Explanation": "\"1 / 9 c 2 = 1 / 36 . answer : e .\"" + }, + { + "Answer": 130, + "Options": "a ) 160 \u00b0 , b ) 180 \u00b0 , c ) 130 \u00b0 , d ) 110 \u00b0 , e ) 150 \u00b0", + "Correct": "c", + "Explanation": "\"angle between hands of a clock when the minute hand is behind the hour hand , the angle between the two hands at m minutes past h ' o clock = 30 ( h \u2212 m / 5 ) + m / 2 degree when the minute hand is ahead of the hour hand , the angle between the two hands at m minutes past h ' o clock = 30 ( m / 5 \u2212 h ) \u2212 m / 2 degree here h = 3 , m = 40 and minute hand is ahead of the hour hand . hence the angle = 30 ( m / 5 \u2212 h ) \u2212 m / 2 = 30 ( 40 / 5 \u2212 3 ) \u2212 40 / 2 = 30 ( 8 \u2212 3 ) \u2212 20 = 30 \u00d7 5 \u2212 20 = 130 \u00b0 answer is c .\"" + }, + { + "Answer": 45, + "Options": "a ) 30 days , b ) 15 days , c ) 45 days , d ) 24 days , e ) none of these", + "Correct": "c", + "Explanation": "let c completes the work in x days . work done by ( a + b ) in 1 day = 1 \u2044 10 work done by ( b + c ) in 1 day = 1 \u2044 18 a \u2019 s 5 days \u2019 work + b \u2019 s 10 days \u2019 work + c \u2019 s 15 days \u2019 work = 1 or ( a + b ) \u2019 s 5 days \u2019 work + ( b + c ) \u2019 s 5 days \u2019 work + c \u2019 s 10 days \u2019 work = 1 or 5 \u2044 10 + 5 \u2044 18 + 10 \u2044 x = 1 or x = 45 days answer c" + }, + { + "Answer": 15840, + "Options": "a ) 15840 , b ) 19879 , c ) 27997 , d ) 15842 , e ) 15823", + "Correct": "a", + "Explanation": "\"a 2 = 69696 = > a = 264 4 a = 1056 1056 * 15 = 15840 answer : a\"" + }, + { + "Answer": 29.999999999999993, + "Options": "a ) 10 , b ) 30 , c ) 25 , d ) 15 , e ) 45", + "Correct": "b", + "Explanation": "( a + b ) ' s 1 day ' s work = 1 / 10 a ' s 1 day ' s work = 1 / 15 b ' s 1 days ' s work = ( 1 / 10 ) - ( 1 / 15 ) = 1 / 30 hence , b alone can complete the work in 30 days . answer is b" + }, + { + "Answer": 1600, + "Options": "a ) 1977 , b ) 1600 , c ) 1979 , d ) 1900 , e ) 1278", + "Correct": "b", + "Explanation": "\"2000 - - - - 54 2000 - - - - 36 x - - - - - 20 x * 20 = 2000 * 36 x = 3600 2000 - - - - - - - 1600 answer : b\"" + }, + { + "Answer": 3.0000000000000004, + "Options": "a ) 3 , b ) 5 , c ) 6 , d ) 7 , e ) 8", + "Correct": "a", + "Explanation": "2 / 4 + ( 2 + x ) / 10 = 1 = > x = 3 days answer : a" + }, + { + "Answer": 50, + "Options": "a ) 25 , b ) 37.5 , c ) 40 , d ) 45.5 , e ) 50", + "Correct": "e", + "Explanation": "as the ratio of the rates of a and b is 8 to 12 then the distance covered at the time of the meeting ( so after traveling the same time interval ) would also be in that ratio , which means that a would cover 8 / ( 8 + 12 ) = 8 / 20 of 125 miles : 125 * 8 / 20 = 50 miles . answer : e ." + }, + { + "Answer": 66, + "Options": "a ) 60 , b ) 63 , c ) 66 , d ) 69 , e ) 72", + "Correct": "c", + "Explanation": "\"( 3 / 2 ) * 5 = 7.5 hours 495 / 7.5 = 66 kph the answer is c .\"" + }, + { + "Answer": 50.400000000000006, + "Options": "a ) 50 kmph , b ) 56 kmph , c ) 58 kmph , d ) 62 kmph , e ) 72 kmph", + "Correct": "a", + "Explanation": "\"explanation : relative speed = 240 / 10 m / sec = ( ( 240 / 10 ) \u00d7 ( 18 / 5 ) ) kmph = 86 kmph . speed of goods train = ( 86 - 36 ) kmph = 50 kmph answer : option a\"" + }, + { + "Answer": 300, + "Options": "a ) 240 meters , b ) 360 meters , c ) 300 meters , d ) 600 meters , e ) can not be determined", + "Correct": "c", + "Explanation": "speed of the train in metres / sec = 72000 / 3600 = 20 distance travelled by train to cross the platform = 30 * 20 = 600 = length of train + length of platform distance travelled by train to cross the man = 15 * 20 = 300 = length of train length of platform = 600 - 300 = 300 answer : c" + }, + { + "Answer": 250, + "Options": "a ) 250 , b ) 300 , c ) 350 , d ) 400 , e ) 500", + "Correct": "a", + "Explanation": "\"nice problem . + 1 . first timetogetherthey run half of the circumference . second timetogetherthey run full circumference . first time brenda runs 50 meters , thus second time she runs 2 * 50 = 100 meters . since second time ( when they run full circumference ) brenda runs 200 meters and sally runs 150 meters , thus the circumference is 100 + 150 = 250 meters . answer : a .\"" + }, + { + "Answer": 26, + "Options": "a ) 24 , b ) 77 , c ) 26 , d ) 25 , e ) 13", + "Correct": "c", + "Explanation": "\"explanation : less men , means more days { indirect proportion } let the number of days be x then , 27 : 39 : : 18 : x [ please pay attention , we have written 27 : 39 rather than 39 : 27 , in indirect proportion , if you get it then chain rule is clear to you : ) ] { \\ color { blue } x = \\ frac { 39 \\ times 18 } { 27 } } x = 26 so 26 days will be required to get work done by 27 men . answer : c\"" + }, + { + "Answer": 72, + "Options": "a ) 26 cm , b ) 45 cm , c ) 58 cm , d ) 63 cm , e ) 72 cm", + "Correct": "e", + "Explanation": "\"volume of the wire ( in cylindrical shape ) is equal to the volume of the sphere . \u03c0 ( 16 ) ^ 2 * h = ( 4 / 3 ) \u03c0 ( 24 ) ^ 3 = > h = 72 cm answer : e\"" + }, + { + "Answer": 104, + "Options": "a ) $ 83 , b ) $ 90 , c ) $ 92 , d ) $ 97 , e ) $ 104", + "Correct": "e", + "Explanation": "\"average daily wage of a worker for 15 consecutive working days = 90 $ during the first 7 days , the daily average daily wage = 87 $ during the last 7 days , the daily average daily wage = 91 $ wage on 8 th day = 90 * 15 - ( 87 * 7 + 91 * 7 ) = 1350 - ( 609 + 637 ) = 1350 - 1246 = 104 answer e\"" + }, + { + "Answer": 38475, + "Options": "a ) 25650 , b ) 25750 , c ) 26550 , d ) 30750 , e ) 38475", + "Correct": "e", + "Explanation": "\"area = 9 \u00d7 4.75 sq . metre . cost for 1 sq . metre . = rs . 900 hence total cost = 9 \u00d7 4.75 \u00d7 900 = 9 \u00d7 4275 = rs . 38475 answer is e .\"" + }, + { + "Answer": 4.99960003199744, + "Options": "a ) 5 seconds , b ) 2.8 seconds , c ) 3.5 seconds , d ) 2.5 seconds , e ) 2.6 seconds", + "Correct": "a", + "Explanation": "\"first convert speed into m / sec speed = 72 * ( 5 / 18 ) = 20 m / sec time = distance / speed = 100 / 20 = 5 seconds answer : a\"" + }, + { + "Answer": 2400, + "Options": "['a ) 2400 m', 'b ) 2500 m', 'c ) 2600 m', 'd ) 2700 m', 'e ) 2900 m']", + "Correct": "a", + "Explanation": "area of rhombus = 1 / 2 * d 1 * d 2 432 = 1 / 2 * d 1 * . 36 d 1 = 2400 m answer : a" + }, + { + "Answer": 3, + "Options": "a ) 5 , b ) 7 , c ) 3 , d ) 9 , e ) 10", + "Correct": "c", + "Explanation": "xyt / ( x + y ) x = 2 , y = 4 t = 3 2 * 4 * 3 / 2 + 4 = 18 / 6 = 3 answer : c" + }, + { + "Answer": 5, + "Options": "a ) 5 hours , b ) 4 hours , c ) 3 hours , d ) 2 hours , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : speed of the boat in still water = 22 km / hr speed of the stream = 5 km / hr speed downstream = ( 22 + 5 ) = 27 km / hr distance travelled downstream = 135 km time taken = distance / speed = 135 / 27 = 5 hours . answer : option a\"" + }, + { + "Answer": 8.999280057595392, + "Options": "a ) 2 sec , b ) 6 sec , c ) 8 sec , d ) 9 sec , e ) 5 sec", + "Correct": "d", + "Explanation": "\"d 9 sec speed of the train relative to man = ( 68 - 8 ) kmph = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec time taken by the train to cross the man = time taken by it to cover 150 m at 50 / 3 m / sec = 150 * 3 / 50 sec = 9 sec\"" + }, + { + "Answer": 0.8666666666666666, + "Options": "a ) 1.7 , b ) 1.5 , c ) 0.86 , d ) 1.1 , e ) 1.2", + "Correct": "c", + "Explanation": "\"13 / 54 m / s = 13 / 54 * 18 / 5 = 13 / 15 = 0.86 kmph . answer : c\"" + }, + { + "Answer": 80, + "Options": "a ) 20 , b ) 40 , c ) 60 , d ) 80 , e ) 100", + "Correct": "d", + "Explanation": "annie gains 3 km per hour ( or 1 km every 20 minutes ) on sam . after 40 minutes annie is 2 km ahead . sam rides 1 km every 5 minutes . in the next 30 minutes , sam rides 6 km so sam will be 4 km ahead . it will take annie 80 minutes to catch sam . the answer is d ." + }, + { + "Answer": 119.04761904761905, + "Options": "a ) 114 , b ) 115 , c ) 116 , d ) 117 , e ) 119", + "Correct": "e", + "Explanation": "\"let the required number of seconds be x more cloth , more time , ( direct proportion ) hence we can write as ( cloth ) 0.126 : 15 : : 1 : x = > 0.126 * x = 15 = > x = 15 / 0.126 = > x = 119 answer : e\"" + }, + { + "Answer": 40.00000000000001, + "Options": "a ) 10 hours , b ) 20 hours , c ) 30 hours , d ) 40 hours , e ) 50 hours", + "Correct": "d", + "Explanation": "if leakage / hour = 1 / x , then 1 / 8 - 1 / x = 1 / 10 , solving 1 / x = 1 / 40 so in 40 hours full cistern will be empty . answer : d" + }, + { + "Answer": 3, + "Options": "a ) 6 kmph , b ) 5 kmph , c ) 2 kmph , d ) 3 kmph , e ) 1 kmph", + "Correct": "d", + "Explanation": "\"speed downstream = d / t = 75 / ( 5 ) = 15 kmph speed upstream = d / t = 45 / ( 5 ) = 9 kmph the speed of the stream = ( 15 - 9 ) / 2 = 3 kmph answer : d\"" + }, + { + "Answer": 195.3125, + "Options": "a ) 194 seconds , b ) 195 seconds , c ) 196 seconds , d ) 197 seconds , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : let the time required by x seconds . then , more cloth means more time ( direct proportion ) so , 0.128 : 1 : : 25 : x = > x = 25 \u2217 1 / 0.128 = > x = 195.31 so time will be approx 195 seconds option b\"" + }, + { + "Answer": 24, + "Options": "a ) 24 , b ) 55 , c ) 66 , d ) 88 , e ) 21", + "Correct": "a", + "Explanation": "in this type of problems the formuae is ( 5 * x + or - t ) * 12 / 11 here x is replaced by the first interval of given time . here x is 5 . t is spaces apart case 1 : ( 5 * x + t ) * 12 / 11 ( 5 * 5 + 3 ) * 12 / 11 28 * 12 / 11 = 336 / 11 = min therefore the hands will be 3 min apart at 31 5 / 11 min past 5 . case 2 : ( 5 * x - t ) * 12 / 11 ( 5 * 5 - 3 ) * 12 / 11 22 * 12 / 11 = 24 min therefore the hands will be 3 min apart at 24 min past 5 answer : a ) 24 min" + }, + { + "Answer": 21.598272138228943, + "Options": "a ) 15.6 seconds , b ) 24.6 seconds , c ) 21.6 seconds , d ) 30.6 seconds , e ) 35.6 seconds", + "Correct": "c", + "Explanation": "distance travelled = 120 + 240 m = 360 m speed = 60 * 5 / 8 = 50 / 3 m time = 360 * 3 / 50 = 21.6 seconds answer : c ." + }, + { + "Answer": 36, + "Options": "a ) 32 , b ) 33 , c ) 34 , d ) 35 , e ) 36", + "Correct": "e", + "Explanation": "a \u2019 s one day \u2019 s work : b \u2019 s one day \u2019 s work = 2 : 1 ( a + b ) \u2019 s one day \u2019 s work = 1 / 12 b \u2019 s one day \u2019 s work = 1 / 12 * 1 / 3 = 1 / 36 b alone can do the work in 36 days answer : e" + }, + { + "Answer": 5, + "Options": "a ) 4 , b ) 5 , c ) 7 , d ) 8 , e ) 2", + "Correct": "b", + "Explanation": "\"1 women ' s 1 day work = 1 / 50 1 child ' s 1 day work = 1 / 100 ( 5 women + 10 children ) ' s 1 day work = ( 5 / 50 + 10 / 100 ) = 1 / 5 5 women and 10 children will complete the work in 5 days . b\"" + }, + { + "Answer": 360.0288, + "Options": "a ) 240 , b ) 250 , c ) 360 , d ) 230 , e ) 220", + "Correct": "c", + "Explanation": "\"speed of the train = 54 km / hr = ( 54 \u00d7 10 ) / 36 m / s = 15 m / s length of the train = speed \u00d7 time taken to cross the man = 15 \u00d7 20 = 300 m let the length of the platform = l time taken to cross the platform = ( 300 + l ) / 15 = > ( 300 + l ) / 15 = 36 = > 300 + l = 15 \u00d7 44 = 660 = > l = 660 - 300 = 360 meter answer is c .\"" + }, + { + "Answer": 124.99999999999997, + "Options": "a ) 177 cm , b ) 125 cm , c ) 786 cm , d ) 617 cm , e ) 187 cm", + "Correct": "b", + "Explanation": "\"number of cubes = 100 \u00e2 \u02c6 \u2014 100 \u00e2 \u02c6 \u2014 100 / 20 \u00e2 \u02c6 \u2014 20 \u00e2 \u02c6 \u2014 20 = 125 note : 1 m = 100 cm answer : b\"" + }, + { + "Answer": 32, + "Options": "a ) 32 , b ) 88 , c ) 70 , d ) 123 , e ) 12", + "Correct": "a", + "Explanation": "let the four consecutive even numbers be 2 ( x - 2 ) , 2 ( x - 1 ) , 2 x , 2 ( x + 1 ) their sum = 8 x - 4 = 140 = > x = 18 smallest number is : 2 ( x - 2 ) = 32 answer : a" + }, + { + "Answer": 5.4, + "Options": "a ) 4.1 , b ) 4.5 , c ) 4.8 , d ) 5.4 , e ) 5.5", + "Correct": "d", + "Explanation": "\"speed = 1080 / ( 12 x 60 ) m / sec = 1.5 m / sec . converting m / sec to km / hr = 1.5 x ( 18 / 5 ) km / hr = 5.4 km / hr . answer : d\"" + }, + { + "Answer": 749.9999999999997, + "Options": "a ) 150 sec , b ) 750 sec , c ) 450 sec , d ) 825 sec , e ) none of these", + "Correct": "b", + "Explanation": "explanation : if abhishek takes x seconds and bharti takes y seconds to run 1 km , then : = > y = 150 sec and x = 125 sec = > x + 19 = 960 y / 1000 and = ( 960 x / 1000 ) + 30 = y = > y = 150 sec and x = 125 sec answer = ( 150 / 1000 ) \u00d7 500 = 750 sec answer : b" + }, + { + "Answer": 600, + "Options": "a ) 350 m , b ) 200 m , c ) 400 m , d ) 600 m , e ) none of them", + "Correct": "d", + "Explanation": "\"relative speed of the policeman = ( 10 - 8 ) km / hr = 2 km / hr . time taken by police man to cover ( 150 m / 1000 ) x 1 / 2 hr = 3 / 40 hr . in 3 / 40 hrs , the thief covers a distance of 8 x 3 / 40 km = 3 / 5 km = 600 m answer is d\"" + }, + { + "Answer": 42, + "Options": "a ) 15 , b ) 20 , c ) 40 , d ) 42 , e ) 68", + "Correct": "d", + "Explanation": "\"car y began travelling after 72 minutes or 1.2 hours . let t be the time for which car y travelled before it stopped . both cars stop when they have travelled the same distance . so , 35 ( t + 1.2 ) = 70 t t = 1.2 distance traveled by car x from the time car y began traveling until both cars stopped is 35 x 1.2 = 42 miles answer : - d\"" + }, + { + "Answer": 62, + "Options": "a ) 52 kmph . , b ) 62 kmph . , c ) 72 kmph . , d ) 80 kmph . , e ) none", + "Correct": "b", + "Explanation": "\"solution relative speed = ( 280 / 9 ) m / sec = ( 280 / 9 x 18 / 5 ) = 112 kmph . speed of the train = ( 112 - 50 ) kmph = 62 kmph . answer b\"" + }, + { + "Answer": 36, + "Options": "a ) 76 kmph , b ) 54 kmph , c ) 72 kmph , d ) 34 kmph , e ) 36 kmph", + "Correct": "e", + "Explanation": "\"length = speed * time speed = l / t s = 500 / 50 s = 10 m / sec speed = 10 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 36 kmph answer : e\"" + }, + { + "Answer": 28.997680185585153, + "Options": "a ) 28 sec , b ) 29 sec , c ) 24 sec , d ) 25 sec , e ) 26 sec", + "Correct": "b", + "Explanation": "\"d = 140 + 150 = 290 s = 36 * 5 / 18 = 10 mps t = 290 / 10 = 29 sec b\"" + }, + { + "Answer": 600, + "Options": "a ) 600 , b ) 300 , c ) 350 , d ) 400 , e ) 550", + "Correct": "a", + "Explanation": "let d = total distance traci traveled 1 / 3 = d / 3 i . e . remaining distance = 2 d / 3 she traveled 1 / 4 th of 2 d / 3 = d / 6 thus : d = ( d / 3 ) + ( d / 6 ) + 300 d = 600 answer : a" + }, + { + "Answer": 24750, + "Options": "a ) rs . 15,000 , b ) rs . 24,750 , c ) rs . 15,600 , d ) rs . 16,500 , e ) none", + "Correct": "b", + "Explanation": "\"solution area of the floor = ( 5.5 x 3.75 ) m \u00b2 = 20.635 m \u00b2 cost of paying = rs . ( 1200 x 20.625 ) = rs . 24,750 . answer b\"" + }, + { + "Answer": 32, + "Options": "a ) 52 kmph . , b ) 62 kmph . , c ) 72 kmph . , d ) 80 kmph . , e ) 32 kmph .", + "Correct": "e", + "Explanation": "solution relative speed = ( 280 / 9 ) m / sec = ( 280 / 9 x 18 / 5 ) = 112 kmph . speed of the train = ( 112 - 80 ) kmph = 32 kmph . answer e" + }, + { + "Answer": 4950, + "Options": "a ) 1650 , b ) 2750 , c ) 3850 , d ) 4950 , e ) 6050", + "Correct": "d", + "Explanation": "\"the distance the sound traveled to the man is 15 * 330 = 4950 meters the answer is d .\"" + }, + { + "Answer": 2.2666666666666666, + "Options": "a ) 8 / 3 , b ) 3 / 8 , c ) 8 / 5 , d ) 5 / 8 , e ) 34 / 15", + "Correct": "e", + "Explanation": "distance traveled by eddy = 510 km time taken by eddy = 3 hours average speed of eddy = 510 / 3 = 170 km / hour distance traveled by freddy = 300 km time taken by freddy = 4 hours average speed of freddy = 300 / 4 = 75 km / hour ratio of average speed of eddy to freddy = 170 / 75 = 34 / 15 answer e" + }, + { + "Answer": 26.997840172786177, + "Options": "a ) 17 sec , b ) 21 sec , c ) 25 sec , d ) 27 sec , e ) 29 sec", + "Correct": "d", + "Explanation": "\"d = 120 + 150 = 270 s = 36 * 5 / 18 = 10 mps t = 270 / 10 = 27 sec\"" + }, + { + "Answer": 4.5, + "Options": "a ) 5.75 , b ) 4.5 , c ) 5.76 , d ) 5.74 , e ) 5.71", + "Correct": "b", + "Explanation": "\"m = 6 s = 3 ds = 9 us = 3 x / 9 + x / 3 = 1 x = 2.25 d = 2.25 * 2 = 4.5 answer : b\"" + }, + { + "Answer": 14.012738853503185, + "Options": "a ) 18 , b ) 26 , c ) 14 , d ) 12 , e ) 91", + "Correct": "c", + "Explanation": "\"2 * 22 / 7 * 12 * x = 1056 = > x = 14 answer : c\"" + }, + { + "Answer": 1, + "Options": "a ) 30 minutes , b ) 1 hour , c ) 2 hours , d ) 3 hours , e ) none of these", + "Correct": "b", + "Explanation": "explanation : new speed = 4 / 5 th of its actual speed new time = 5 / 4 th of its actual time = > 5 / 4 t - t = 15 / 60 = 1 / 4 = > 1 / 4 t = 1 / 4 = > t = 1 hour answer : b" + }, + { + "Answer": 150, + "Options": "a ) 200 , b ) 150 , c ) 300 , d ) 175 , e ) 250", + "Correct": "b", + "Explanation": "\"speed = ( 27 x 5 / 18 ) = 7.5 m / sec . length of the train = ( speed x time ) . length of the train = 7.5 x 20 m = 150 m . answer : b\"" + }, + { + "Answer": 157.89473684210532, + "Options": "a ) 157.89 , b ) 157.13 , c ) 157.22 , d ) 111.0 , e ) 111.12", + "Correct": "a", + "Explanation": "\"a runs 1000 m while b runs 950 m and c runs 800 m . the number of meters that c runs when b runs 1000 m , = ( 1000 * 800 ) / 950 = 842.10 m . b can give c = 1000 - 842.10 = 157.89 m . answer : a\"" + }, + { + "Answer": 2, + "Options": "a ) 3 , b ) 2 , c ) 1 , d ) 2 1 / 2 , e ) 1 1 / 5", + "Correct": "b", + "Explanation": "work hrs = ab / ( a + b ) = 18 / 9 = 2 answer is b" + }, + { + "Answer": 30, + "Options": "a ) 30 days , b ) 35 days , c ) 40 days , d ) 45 days , e ) 50 days", + "Correct": "a", + "Explanation": "explanation : let \u2018 x \u2019 be the number of days taken by b alone to finish the whole work then , a alone will finish the whole work in 3 x / 4 \u00d7 2 days = 3 x / 2 days . then , working together , 3 x / 2 \u00d7 x / 3 x / 2 + x = 18 days 3 x \u00d7 x / 5 x = 18 3 x / 5 = 18 therefore , the number of days taken by b = x = 18 \u00d7 5 / 3 = 30 days . answer : option a" + }, + { + "Answer": 1.9998400127989762, + "Options": "a ) 2.0 sec , b ) 2.8 sec , c ) 7.5 sec , d ) 2.3 sec , e ) 1.5 sec", + "Correct": "a", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 80 / 40 = 2.0 sec . answer : a\"" + }, + { + "Answer": 7.000000000000001, + "Options": "a ) 3 , b ) 5 , c ) 7 , d ) 8 , e ) 9", + "Correct": "c", + "Explanation": "\"work done by x in 1 day = 1 / 21 work done by y in 1 day = 1 / 15 work done by y in 10 days = 10 / 15 = 2 / 3 remaining work = 1 \u2013 2 / 3 = 1 / 3 number of days in which x can finish the remaining work = ( 1 / 3 ) / ( 1 / 21 ) = 7 c\"" + }, + { + "Answer": 36, + "Options": "a ) 30 , b ) 20 , c ) 16 , d ) 26 , e ) 36", + "Correct": "e", + "Explanation": "\"let 1 man does 1 unit / hr of work 15 m in 21 days of 8 hrs will do ( 15 * 21 * 8 ) units 3 w = 2 m 1 w = ( 2 / 3 ) units / hr 21 w with 6 hrs a day will take ( 15 * 21 * 8 ) / ( 21 * 5 * ( 2 / 3 ) ) days = > 36 days answer : e\"" + }, + { + "Answer": 15, + "Options": "a ) 110 days , b ) 11 days , c ) 15 days , d ) 20 days , e ) 17 days", + "Correct": "c", + "Explanation": "b ' s one day work = ( 1 / 12 - 1 / 20 ) = 1 / 30 . now , ( a + b ) ' s one day work = ( 1 / 20 + 1 / 60 ) = 1 / 15 . [ \u2235 b work for half day only ] . so , a and b together will complete the work in 15 days . correct answer : ` ` c ' ' ." + }, + { + "Answer": 20900, + "Options": "a ) s . 20,550 , b ) s . 15,600 , c ) s . 20,900 , d ) s . 17,600 , e ) s . 17,900", + "Correct": "c", + "Explanation": "\"area of the floor = ( 5.5 \u00e3 \u2014 4 ) m 2 = 22 m 2 . cost of paving = rs . ( 950 \u00e3 \u2014 22 ) = rs . 20900 answer : option c\"" + }, + { + "Answer": 12.299016078713702, + "Options": "a ) 82.1 sec . , b ) 12.3 sec , c ) 19.1 sec . , d ) 17.1 sec . , e ) 42.1 sec .", + "Correct": "b", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec total distance covered = 110 + 136 = 246 m . required time = 246 / 20 = 12.3 sec . answer : b\"" + }, + { + "Answer": 36, + "Options": "a ) 35 , b ) 36 , c ) 45 , d ) 50 , e ) 55", + "Correct": "b", + "Explanation": "\"avg . speed = total distance / total time total distance = 90 miles total time = 60 / 30 + 30 / 60 = 5 / 2 avg . speed = 36 answer - b\"" + }, + { + "Answer": 26.999999999999996, + "Options": "a ) 5 days , b ) 7 days , c ) 27 days , d ) 9 days , e ) 10 days", + "Correct": "c", + "Explanation": "\"explanation : a \u2019 s 5 day work = 5 * 1 / 15 = 1 / 3 remaining work = 1 - 1 / 3 = 2 / 3 b completes 2 / 3 work in 6 days b alone can do in x days 2 / 3 * x = 18 x = 27 days answer : option c\"" + }, + { + "Answer": 180, + "Options": "a ) 180 min , b ) 144 min . , c ) 126 min , d ) 114 min , e ) 124 min", + "Correct": "a", + "Explanation": "explanation : let time taken by the faster pipe to fill the tank = x minutes . then , time taken by the slower pipe to fill the tank = 4 x minutes . time taken by both pipes together to fill the tank = x x 4 x / x + 4 x = 4 x / 5 4 x / 5 = 36 \u21d2 x = 45 time taken by the slower pipe to fill the tank = 4 x = 180 minutes . answer : option a" + }, + { + "Answer": 2.5, + "Options": "a ) 2.0 , b ) 2.5 , c ) 3.0 , d ) 3.5 , e ) 4.0", + "Correct": "b", + "Explanation": "\"the swimmer can swim against the current at a speed of 4 - 2 = 2 km / h . the time it will take is 5 / 2 = 2.5 hours . the answer is b .\"" + }, + { + "Answer": 2, + "Options": "a ) 7 meters , b ) 9 meters , c ) 8 meters , d ) 2 meters , e ) 3 meters", + "Correct": "d", + "Explanation": "\"400 rev / minute = 400 * 60 rev / 60 minutes = 24,000 rev / hour 24,000 * c = 48,000 m : c is the circumference c = 2 meters correct answer d\"" + }, + { + "Answer": 235, + "Options": "a ) 255 , b ) 267 , c ) 235 , d ) 277 , e ) 211", + "Correct": "c", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 140 + x ) / 30 = 25 / 2 = > 2 ( 140 + x ) = 750 = > x = 235 m . answer : c\"" + }, + { + "Answer": 35, + "Options": "a ) 600 , b ) 800 , c ) 1000 , d ) 1200 , e ) 1500", + "Correct": "d", + "Explanation": "answer : d ." + }, + { + "Answer": 21, + "Options": "a ) 21 m , b ) 24 m , c ) 27 m , d ) 29 m , e ) 30 m", + "Correct": "a", + "Explanation": "\"explanation : let the required length be x metres more men , more length built ( direct proportion ) less days , less length built ( direct proportion ) men 20 : 35 days 14 : 3 : : 56 : x therefore ( 20 x 14 x x ) = ( 35 x 3 x 56 ) x = ( 35 x 3 x 56 ) / 280 = 49 hence , the required length is 21 m . answer : a\"" + }, + { + "Answer": 42, + "Options": "a ) 44 , b ) 42 , c ) 40 , d ) 38 , e ) 36", + "Correct": "b", + "Explanation": "explanation : given that fort had provision of food for 150 men for 45 days hence , after 10 days , the remaining food is sufficient for 150 men for 35 days remaining men after 10 days = 150 - 25 = 125 assume that after 10 days , the remaining food is sufficient for 125 men for x days more men , less days ( indirect proportion ) ( men ) 150 : 125 : : x : 35 \u21d2 150 \u00d7 35 = 125 x \u21d2 6 \u00d7 35 = 5 x \u21d2 x = 6 \u00d7 7 = 42 i . e . , the remaining food is sufficient for 125 men for 42 days answer : option b" + }, + { + "Answer": 18, + "Options": "a ) 15 hrs , b ) 16 hrs , c ) 18 hrs , d ) 19 hrs , e ) 17 hrs", + "Correct": "c", + "Explanation": "programmer takes 1 / 4 * 48 = 12 hrs a week to make flowchrt same way . . . . . 18 hrs a week for codin . . . so . . . . for debugging = 48 - ( 12 + 18 ) = 18 hrs answer : c" + }, + { + "Answer": 60, + "Options": "a ) 10 days , b ) 40 days , c ) 50 days , d ) 60 days , e ) 80 days", + "Correct": "d", + "Explanation": "\"exp : we have , m 1 d 1 = m 2 d 2 600 * 25 = 250 * d 2 d 2 = 600 * 25 / 250 = 60 days . answer : d\"" + }, + { + "Answer": 4.99960003199744, + "Options": "a ) 2.5 sec , b ) 1.9 sec , c ) 8.9 sec , d ) 6.9 sec , e ) 5 sec", + "Correct": "e", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 200 / 40 = 5 sec . answer : e\"" + }, + { + "Answer": 24, + "Options": "a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36", + "Correct": "b", + "Explanation": "\"let v be her normal speed and let t be her normal time . d = ( 3 / 4 ) v * ( t + 8 ) since the distance is the same we can equate this to a regular day which is d = v * t v * t = ( 3 / 4 ) v * ( t + 8 ) t / 4 = 6 t = 24 the answer is b .\"" + }, + { + "Answer": 9.99920006399488, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", + "Correct": "c", + "Explanation": "\"the speeds are 90000 / 3600 = 25 m / s and 72000 / 3600 = 20 m / s the relative speed is 45 m / s . time = 450 / 45 = 10 seconds the answer is c .\"" + }, + { + "Answer": 34.61538461538461, + "Options": "a ) 24.62 seconds , b ) 34.62 seconds , c ) 44.62 seconds , d ) 54.62 seconds , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : speed = 52 km / hr = 52 * ( 5 / 18 ) m / sec = 130 / 9 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 / 130 / 9 = 34.62 seconds answer : b\"" + }, + { + "Answer": 9, + "Options": "a ) 5 days , b ) 8 days , c ) 7 days , d ) 9 days , e ) 8 days", + "Correct": "d", + "Explanation": "\"explanation : ( 1 man + 1 woman + 1 boy ) \u2019 s 1 day \u2019 s work = 1 / 3 1 wo man \u2019 s 1 day work = 1 / 6 1 boy \u2019 s 1 day \u2019 s work = 1 / 18 man alone can finish the work in 9 days . answer : option d\"" + }, + { + "Answer": 18, + "Options": "a ) 9 km / hr , b ) 7 km / hr , c ) 12 km / hr , d ) 15 km / hr , e ) 18 km / hr", + "Correct": "e", + "Explanation": "\"speed = { 750 } m / sec = 5 m / sec = { 5 * 18 } km / hr = 18 km / hr ans : e\"" + }, + { + "Answer": 175, + "Options": "a ) 227 m , b ) 150 m , c ) 167 m , d ) 175 m , e ) 187 m", + "Correct": "d", + "Explanation": "\"speed = 70 * 5 / 18 = 175 / 9 m / sec length of the train = speed * time = 175 / 9 * 9 = 175 m answer : d\"" + }, + { + "Answer": 119.7, + "Options": "a ) 124 cm , b ) 120 cm , c ) 116 cm , d ) 112 cm , e ) 110 cm", + "Correct": "b", + "Explanation": "let the previous year ' s height be x . 1.05 x = 126 x = 120 the answer is b ." + }, + { + "Answer": 60.004799999999996, + "Options": "a ) 10.8 , b ) 18 , c ) 30 , d ) 38.8 , e ) 60", + "Correct": "e", + "Explanation": "solution speed = 216 kmph = ( 216 x 5 / 18 ) m / sec = 60 m / sec . answer e" + }, + { + "Answer": 16, + "Options": "a ) 10 , b ) 8 , c ) 16 , d ) 11 , e ) 15", + "Correct": "c", + "Explanation": "\"800 * 20 = 1200 * x x = 16 . answer : c\"" + }, + { + "Answer": 100, + "Options": "a ) 100 m , b ) 180 m , c ) 159 m , d ) 250 m , e ) 152 m", + "Correct": "a", + "Explanation": "\"length of the train be \u2018 x \u2019 x + 200 / 15 = x + 300 / 20 4 x + 800 = 3 x + 900 x = 100 m answer : a\"" + }, + { + "Answer": 20, + "Options": "a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", + "Correct": "b", + "Explanation": "1 day work of man = 1 / 10 , if boy ' s 1 day work = 1 / x , then ( 1 / 10 ) + ( 1 / x ) = 1 / 6 , x = 15 ratio of work of man & boy = 1 / 10 : 1 / 15 = 3 : 2 so out of 50 rs . boy ' s share = 2 * 50 / ( 3 + 2 ) = 20 answer : b" + }, + { + "Answer": 4, + "Options": "a ) 6 minutes , b ) 5 minutes , c ) 7 minutes , d ) 3 minutes , e ) 4 minutes", + "Correct": "e", + "Explanation": "\"earl takes 1 min . for 36 envelopes . ellen takes 3 / 2 mins for the same . so ellen can stuff ( ( 36 ) / ( 3 / 2 ) ) in 1 min . i . e . , 24 envlpes a min . so both of them when work together can stuff 36 + 24 = 60 envelopes in 1 min . for 240 envelopes they will take 240 / 60 mins . i . e . , 4 mins . answer : e\"" + }, + { + "Answer": 176, + "Options": "a ) 36 , b ) 66 , c ) 132 , d ) 176 , e ) 364", + "Correct": "d", + "Explanation": "\"16 * 396 = 36 * x x = 176 answer : d\"" + }, + { + "Answer": 60, + "Options": "a ) 8 , b ) 12 , c ) 18 , d ) 24 , e ) 60", + "Correct": "e", + "Explanation": "\"in : we have : 1,000 / 2 min = 500 litres per minute out : we have : 1,000 / 4 + 1,000 / 6 then do : in - out to figure out the net inflow per minute ( you get 83.3 ) . then divide the total number of litres you need ( 5,000 by that net inflow to get the minutes ) - 60 min . answer e .\"" + }, + { + "Answer": 2400, + "Options": "a ) 6200 m , b ) 2400 m , c ) 300 m , d ) 4300 m , e ) 1200 m", + "Correct": "b", + "Explanation": "\"b 2400 m distance covered by amar = 18 / 1.2 ( 1.6 km ) = 3 / 8 ( 1600 ) = 2400 m answer is b\"" + }, + { + "Answer": 12000, + "Options": "a ) 9000 cubic meters , b ) 10500 cubic meters , c ) 11750 cubic meters , d ) 12000 cubic meters , e ) 12500 cubic meters", + "Correct": "d", + "Explanation": "\"d . 12000 cubic meters . if both hte valves fill the pool in 48 minutes and valve 1 only fills in 120 minutes then valve 2 alone will fill the pool in ( 48 * 120 ) / ( 120 - 48 ) = 80 minutes . now , if valve 1 admits x cubic meter of water per minute then the capacity of pool will be 120 x and also 80 ( x + 50 ) . or , 120 x = 80 ( x + 50 ) . or x = 100 . hence , the capacity of pool = 120 x = 12000 cubic meters .\"" + }, + { + "Answer": 266, + "Options": "a ) 335 cm 2 , b ) 885 cm 2 , c ) 285 cm 2 , d ) 825 cm 2 , e ) 266 cm 2", + "Correct": "e", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 14 ) = 266 cm 2 answer : e\"" + }, + { + "Answer": 20, + "Options": "a ) 18 days , b ) 20 days , c ) 26.67 days , d ) 16 days , e ) 12 days", + "Correct": "b", + "Explanation": "\"let x = the number of days taken to complete the project . the amount of work done by a is ( x - 10 ) * ( 1 / 20 ) . the amount of work done by b is ( x ) * ( 1 / 40 ) . ( 1 / 20 ) * ( x - 10 ) + ( 1 / 40 ) * ( x ) = 1 ( x / 20 ) + ( x / 40 ) - ( 10 / 20 ) = 1 3 x / 40 = 3 / 2 x = 20 therefore , the answer is b : 20 .\"" + }, + { + "Answer": 0.25, + "Options": "a ) 1 / 4 , b ) 1 / 6 , c ) 1 / 7 , d ) 1 / 8 , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : please note in this question , we need to answer part of work for a day rather than complete work . it was worth mentioning here because many do mistake at this point in hurry to solve the question so lets solve now , a ' s 1 day work = 1 / 12 b ' s 1 day work = 1 / 6 [ because b take half the time than a ] ( a + b ) ' s one day work = ( 1 / 12 + 1 / 6 ) = 1 / 4 so in one day 1 / 4 work will be done answer : a\"" + }, + { + "Answer": 179.99999999999997, + "Options": "a ) 180 , b ) 120 , c ) 72 , d ) 27 , e ) 28", + "Correct": "a", + "Explanation": "\"length = speed * time speed = l / t s = 150 / 3 s = 50 m / sec speed = 50 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 180 kmph answer : a\"" + }, + { + "Answer": 10, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", + "Correct": "a", + "Explanation": "26 trees have 25 gaps between them , required distance ( 225 / 25 ) = 10 a" + }, + { + "Answer": 6.25, + "Options": "a ) 25 / 2 , b ) 25 / 4 , c ) 25 / 8 , d ) 25 / 16 , e ) 25 / 32", + "Correct": "b", + "Explanation": "\"let x be the original speed when the stopwatch was started . in 90 seconds , the speed doubled 6 times . 2 ^ 6 * x = 400 x = ( 2 ^ 4 * 25 ) / 2 ^ 6 = 25 / 4 the answer is b .\"" + }, + { + "Answer": 160, + "Options": "a ) 12 kg , b ) 60 kg , c ) 72 kg , d ) 160 kg , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : volume of water displaced = ( 8 x 2 x 0.01 ) m 3 = 0.16 m 3 . \u2234 mass of man = volume of water displaced x density of water = ( 0.16 x 1000 ) kg = 160 kg . answer : d\"" + }, + { + "Answer": 48, + "Options": "a ) $ 33.75 , b ) $ 48.00 , c ) $ 51.75 , d ) $ 54.00 , e ) $ 70.00", + "Correct": "b", + "Explanation": "\"daily working hour * regular rate + overtime * increased rate 7.5 * 4.0 + 3 * 4.0 * 1.5 = 48 answer b\"" + }, + { + "Answer": 21, + "Options": "a ) 25 hr , b ) 35 hr , c ) 40 hr , d ) 20 hr , e ) 21 hr", + "Correct": "e", + "Explanation": "\"suppose pipe a alone take x hours to fill the tank then pipe b and c will take x / 2 and x / 4 hours respectively to fill the tank . 1 / x + 2 / x + 4 / x = 1 / 3 7 / x = 1 / 3 x = 21 hours answer is e\"" + }, + { + "Answer": 480, + "Options": "a ) 480 , b ) 489 , c ) 486 , d ) 482 , e ) 483", + "Correct": "a", + "Explanation": "1 / x - 1 / 20 = - 1 / 24 x = 120 120 * 4 = 480 answer : a" + }, + { + "Answer": 1, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "a", + "Explanation": "\"the distance traveled by ferry p is 24 km . then the distance traveled by ferry q is 48 km . ferry q travels at a speed of 12 kph . the time of the journey for ferry q is 48 / 12 = 4 hours , which is 1 hour more than ferry p . the answer is a .\"" + }, + { + "Answer": 0.34, + "Options": "a ) 18 / 50 , b ) 16 / 50 , c ) 17 / 50 , d ) 19 / 50 , e ) none", + "Correct": "c", + "Explanation": "\"answer 0.34 = 34 / 100 = 17 / 50 correct option : c\"" + }, + { + "Answer": 400.032, + "Options": "a ) 400 meters , b ) 1111 meters , c ) 1777 meters , d ) 1822 meters , e ) none of these", + "Correct": "a", + "Explanation": "\"relative speed of the train with respect to the motorbike should be the speed with which the length of the train is covered in 40 secs . calculate the relative speed = > 100 - 64 = 36 kmph and time is 40 sec = 40 / 3600 hrs distance ( in this case the length of the train ) = s * t = 36 * 40 / 3600 . 4 km or 400 meters . so answer ( a )\"" + }, + { + "Answer": 46.99720022398208, + "Options": "a ) 44 sec , b ) 49 sec , c ) 42 sec , d ) 47 sec , e ) none of these", + "Correct": "d", + "Explanation": "\"let the length of the train be x m . when a train crosses an electric pole , the distance covered is its own length . so , x = 12 * 36 * 5 / 18 m = 120 m . time taken to cross the platform = ( 120 + 350 ) / 36 * 5 / 18 = 47 min . answer : d\"" + }, + { + "Answer": 20, + "Options": "a ) 10 % , b ) 20 % , c ) 30 % , d ) 40 % , e ) 50 %", + "Correct": "b", + "Explanation": "\"let ' s test x = 4 . . . . on sunday , daniel drove 60 miles at 4 miles / hour . d = ( r ) ( t ) 60 = ( 4 ) ( t ) 60 / 4 = 15 = t it takes 15 hours to drive home on monday , daniel drove the first 32 miles at ( 2 ) ( 4 ) = 8 miles / hour and the rest of the way ( 28 miles ) at 4 / 2 = 2 miles / hour d = ( r ) ( t ) 32 = ( 8 ) ( t ) 32 / 8 = 4 = t it takes 4 hours for the first part d = ( r ) ( t ) 28 = ( 2 ) ( t ) 28 / 2 = 14 = t it takes 14 hours for the second part total time to drive home on monday = 4 + 14 = 18 hours we ' re asked by what percent 18 hours is greater than 15 hours . 18 / 15 = 1.2 , so it is 20 % greater . b\"" + }, + { + "Answer": 250, + "Options": "a ) 278 , b ) 166 , c ) 151 , d ) 250 , e ) 109", + "Correct": "d", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec . time = 26 sec . let the length of the train be x meters . then , ( x + 270 ) / 26 = 20 x = 250 m . answer : d\"" + }, + { + "Answer": 6, + "Options": "['a ) 2', 'b ) 4', 'c ) 5', 'd ) 6', 'e ) 7']", + "Correct": "d", + "Explanation": "d" + }, + { + "Answer": 144, + "Options": "a ) 114 , b ) 124 , c ) 134 , d ) 144 , e ) 154", + "Correct": "d", + "Explanation": "\"length = speed * time speed = l / t s = 200 / 5 s = 40 m / sec speed = 40 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 144 kmph answer : d\"" + }, + { + "Answer": 9.600000000000001, + "Options": "a ) 1.23 , b ) 2.86 , c ) 4.36 , d ) 9.25 , e ) 9.61", + "Correct": "e", + "Explanation": "\"distance = 800 meter time = 5 minutes = 5 x 60 seconds = 300 seconds speed = distance / time = 800 / 300 = 2.67 m / s = 2.67 \u00e3 \u2014 18 / 5 km / hr = 9.61 km / hr answer : e\"" + }, + { + "Answer": 17, + "Options": "a ) 4 seconds , b ) 25 seconds , c ) 29 seconds , d ) 21 seconds , e ) 17 seconds", + "Correct": "e", + "Explanation": "\"their difference is 5 second but this difference is 0 if john allows sam to start the race from 15 m ahead . that means jhon was 15 m away from finishing line when they started together . so he will cover 15 m in 5 seconds . so his speed = 15 / 5 = 3 metre / second . so time taken = 100 / 5 = 20 seconds . so sam took = 17 seconds . correct answer = e\"" + }, + { + "Answer": 180, + "Options": "a ) 176 kmph , b ) 108 kmph , c ) 176 kmph , d ) 134 kmph , e ) 180 kmph", + "Correct": "e", + "Explanation": "\"s = 150 / 3 * 18 / 5 = 180 kmph answer : e\"" + }, + { + "Answer": 7, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "e", + "Explanation": "when aa = 11 7 * ( 11 ) ^ 3 = 7 * 1331 = 9317 m = 7 answer : e" + }, + { + "Answer": 4, + "Options": "['a ) 8', 'b ) 3', 'c ) 4', 'd ) 9', 'e ) 7']", + "Correct": "c", + "Explanation": "explanation : 4 \u03c0 r 2 = 64 = > r = 4 answer : option c" + }, + { + "Answer": 112, + "Options": "a ) 334 km . , b ) 216 km . , c ) 112 km . , d ) 224 km . , e ) 544 km .", + "Correct": "c", + "Explanation": "\"0.5 x / 21 + 0.5 x / 24 = 5 - - > x / 21 + x / 24 = 10 - - > x = 112 km . c\"" + }, + { + "Answer": 216, + "Options": "a ) 33 , b ) 88 , c ) 216 , d ) 288 , e ) 299", + "Correct": "c", + "Explanation": "\"4 / 3 \u00ef \u20ac * 6 * 6 * 6 = 4 / 3 \u00ef \u20ac * 1 * 1 * 1 * x x = 216 answer : c\"" + }, + { + "Answer": 20, + "Options": "a ) 5 , b ) 5 1 / 2 , c ) 7 1 / 2 , d ) 6 , e ) 20", + "Correct": "e", + "Explanation": "\"son ' s 1 day work = 1 / 4 - 1 / 5 = 1 / 20 son alone can do the work in 20 days = 20 days answer is e\"" + }, + { + "Answer": 7348, + "Options": "a ) 7348 , b ) 3388 , c ) 2667 , d ) 8766 , e ) 66711", + "Correct": "a", + "Explanation": "\"a 2 = 27889 = > a = 167 4 a = 668 668 * 11 = 7348 answer : a\"" + }, + { + "Answer": 7, + "Options": "a ) 1 , b ) 7 , c ) 3 , d ) 14 , e ) 16", + "Correct": "b", + "Explanation": "\"explanation : let , 1 spider make 1 web in x days . more spiders , less days ( indirect proportion ) more webs , more days ( direct proportion ) hence we can write as ( spiders ) 7 : 1 ( webs ) 1 : 7 } : : x : 7 \u21d2 7 \u00d7 1 \u00d7 7 = 1 \u00d7 7 \u00d7 x \u21d2 x = 7 answer : option b\"" + }, + { + "Answer": 5, + "Options": "a ) 8 , b ) 5 , c ) 24 , d ) 12 , e ) 36", + "Correct": "b", + "Explanation": "\"24 - - - 4 ds = 6 ? - - - - 1 16 - - - - 4 us = 4 ? - - - - 1 m = ? m = ( 6 + 4 ) / 2 = 5 answer : b\"" + }, + { + "Answer": 750.0000000000003, + "Options": "a ) s . 375 , b ) s . 400 , c ) s . 600 , d ) s . 750 , e ) s . 850", + "Correct": "d", + "Explanation": "\"c ' s 1 day ' s work = 1 / 3 - ( 1 / 6 + 1 / 8 ) = 1 / 3 - 7 / 24 = 1 / 24 a ' s wages : b ' s wages : c ' s wages = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 c ' s share ( for 3 days ) = rs . ( 3 * 1 / 24 * 6000 ) = rs . 750 answer = d\"" + }, + { + "Answer": 643.2, + "Options": "a ) 440 , b ) 540 , c ) 643 , d ) 740 , e ) 250", + "Correct": "c", + "Explanation": "\"speed of aeroplane = 670 kmph distance travelled in 6 hours = 670 * 6 = 4020 km speed of aeroplane to acver 4020 km in 25 / 4 = 4020 * 4 / 25 = 643 km answer c .\"" + }, + { + "Answer": 11.428571428571429, + "Options": "a ) 5 hrs , b ) 11.4 hrs , c ) 15.5 hrs , d ) 20.4 hrs , e ) 30 hrs", + "Correct": "b", + "Explanation": "\"1 hour he walk 8 km he walk 80 km in = 80 / 7 * 1 = 11.4 hours answer is b\"" + }, + { + "Answer": 13.000000000000002, + "Options": "a ) 8 days , b ) 6 days , c ) 7 days , d ) 9 days , e ) 13 days", + "Correct": "e", + "Explanation": "\"1 women ' s 1 day work = 1 / 910 1 child ' s 1 day work = 1 / 140 ( 5 women + 10 children ) ' s 1 day work = ( 5 / 910 + 10 / 140 ) = 1 / 13 5 women and 10 children will complete the work in 13 days . answer : e\"" + }, + { + "Answer": 42, + "Options": "a ) 48 , b ) 42 , c ) 44 , d ) 45 , e ) 40", + "Correct": "b", + "Explanation": "\"hexagon . it means 6 equal sides . p = 6 ( 7 ) = 42 inches answer b\"" + }, + { + "Answer": 68, + "Options": "a ) 68 , b ) 44 , c ) 58 , d ) 60 , e ) 62", + "Correct": "a", + "Explanation": "first day - 18 miles with 3 miles per hours then total - 6 hours for that day second day - 4 miles per hour and 5 hours - 20 miles third day - 5 miles per hour and 6 hours - 30 miles total 18 + 20 + 30 = 68 answer : option a ." + }, + { + "Answer": 120, + "Options": "a ) 140 , b ) 130 , c ) 120 , d ) 170 , e ) 160", + "Correct": "c", + "Explanation": "\"speed = ( 48 x 5 / 18 ) m / sec = ( 40 / 3 ) m / sec . length of the train = ( speed x time ) . length of the train = ( 40 / 3 x 9 ) m = 120 m . answer is c .\"" + }, + { + "Answer": 35, + "Options": "a ) 11 , b ) 77 , c ) 30 , d ) 88 , e ) 35", + "Correct": "e", + "Explanation": "\"us = 25 ds = 45 m = ( 45 + 25 ) / 2 = 35 answer : e\"" + }, + { + "Answer": 250.04000000000002, + "Options": "a ) 150 m , b ) 200 m , c ) 250 m , d ) 270 m , e ) 300 m", + "Correct": "c", + "Explanation": "\"d = 72 * 5 / 18 = 25 = 500 \u2013 250 = 250 m answer : c\"" + }, + { + "Answer": 49.999999999999986, + "Options": "a ) 45 m , b ) 50 m , c ) 55 m , d ) 60 m , e ) 65 m", + "Correct": "b", + "Explanation": "\"explanation : first person speed = 2 * ( 5 / 18 ) = 5 / 9 m / sec second person speed = 4 * ( 5 / 18 ) = 10 / 9 m / sec let the length of train is x metre and speed is y m / sec then , x / y \u2212 5 / 9 = 9 = > 9 y \u2212 5 = x = > 9 y \u2212 x = 5 . . . . . ( i ) also , x / y \u2212 10 / 9 = 10 90 y \u2212 9 x = 100 . . . . . ( ii ) from ( i ) and ( ii ) , we get , x = 50 so length of train is 50 metre option b\"" + }, + { + "Answer": 30, + "Options": "a ) a ) 30 , b ) b ) 20 , c ) c ) 83 , d ) d ) 21 , e ) e ) 52", + "Correct": "a", + "Explanation": "\"explanation : 1 : 3 / 5 = 5 : 3 3 / 8 * 80 = 30 answer : option a\"" + }, + { + "Answer": 50, + "Options": "a ) 20 seconds , b ) 30 seconds , c ) 40 seconds , d ) 50 seconds , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 485 + 140 = 625 meter time = distance / speed = 625 \u2217 2 / 25 = 50 seconds option d\"" + }, + { + "Answer": 37.503, + "Options": "a ) 10.8 , b ) 37.5 , c ) 30 , d ) 38.8 , e ) none", + "Correct": "b", + "Explanation": "\"solution speed = 135 kmph = ( 135 x 5 / 18 ) m / sec = 37.5 m / sec . answer b\"" + }, + { + "Answer": 2133.3333333333335, + "Options": "a ) 1375 toys , b ) 2133 toys , c ) 3375 toys , d ) 4375 toys , e ) 5375 toys", + "Correct": "b", + "Explanation": "\"to find the number of toys produced every day , we divide the total number of toys produced in one week ( of 3 days ) by 3 . 6400 / 3 = 2133 toys correct answer b\"" + }, + { + "Answer": 75, + "Options": "a ) 25 m , b ) 45 m , c ) 32 m , d ) 75 m , e ) 62 m", + "Correct": "d", + "Explanation": "new speed = 5 / 6 th of usual speed new time = 6 / 5 th of usual time 6 / 5 ut - ut = 15 m ut / 5 = 15 m ut = 75 m answer is d" + }, + { + "Answer": 8.099352051835853, + "Options": "a ) 7.8 sec , b ) 8.1 sec , c ) 8.3 sec , d ) 8.2 sec , e ) 8.4 sec", + "Correct": "b", + "Explanation": "d = 180 m + 180 m = 360 m * 1 / 1000 = 0.36 kms rs = 80 + 80 = 160 kmph t = ( 0.36 / 160 ) * 3600 = 8.1 sec answer : b" + }, + { + "Answer": 30, + "Options": "a ) 30 , b ) 32 , c ) 60 , d ) data inadequate , e ) none of these", + "Correct": "a", + "Explanation": "\"capacity of the tank = 20 \u00d7 13.5 = 270 litres when the capacity of each bucket = 9 litres , then the required no . of buckets = 270 \u2044 9 = 30 answer a\"" + }, + { + "Answer": 180, + "Options": "a ) 150 meter , b ) 286 meter , c ) 180 meter , d ) 288 meter , e ) 265 meter", + "Correct": "c", + "Explanation": "\"speed = 72 * ( 5 / 18 ) m / sec = 20 m / sec length of train ( distance ) = speed * time ( 20 ) * 9 = 180 meter answer : c\"" + }, + { + "Answer": 84, + "Options": "a ) 84 days , b ) 82 days , c ) 76 days , d ) 68 days , e ) 60 days", + "Correct": "a", + "Explanation": "explanation : as rahul and sham together can finish work in 35 days . 1 days work of rahul and sham is 1 / 35 rahul can alone complete this work in 60 days , so , rahul one day work is 1 / 60 clearly , sham one day work will be = ( rahul and sham one day work ) - ( rahul one day work ) = 1 / 35 - 1 / 60 = 1 / 84 hence sham will complete the given work in 84 days . answer is a" + }, + { + "Answer": 100, + "Options": "a ) 356 , b ) 278 , c ) 127 , d ) 100 , e ) 150", + "Correct": "d", + "Explanation": "\"speed = 60 * 5 / 18 = 50 / 3 m / sec length of the train = speed * time = 50 / 3 * 6 = 100 m answer : d\"" + }, + { + "Answer": 5, + "Options": "a ) 7 , b ) 8 , c ) 2 , d ) 5 , e ) 4", + "Correct": "d", + "Explanation": "\"30 - - - 5 ds = 6 ? - - - - 1 20 - - - - 5 us = 4 ? - - - - 1 m = ? m = ( 6 + 4 ) / 2 = 5 answer : d\"" + }, + { + "Answer": 11.519078473722104, + "Options": "a ) 15.8 sec . , b ) 11.52 sec . , c ) 11.8 sec . , d ) 10.8 sec . , e ) 08.8 sec .", + "Correct": "b", + "Explanation": "\"relative speed = ( 60 + 40 ) km / hr = 100 x 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = ( 140 + 180 ) m = 320 m . required time = 320 x 9 / 250 = 11.52 sec . answer b\"" + }, + { + "Answer": 176, + "Options": "a ) 178 , b ) 128 , c ) 127 , d ) 176 , e ) 171", + "Correct": "d", + "Explanation": "\"area of the room = 544 * 374 sq cm size of largest square tile = h . c . f of 544 cm and 374 cm = 34 cm area of 1 tile = 34 * 34 sq cm no . of tiles required = ( 544 * 374 ) / ( 34 * 34 ) = 176 answer : d\"" + }, + { + "Answer": 40, + "Options": "a ) 1 , b ) 20 , c ) 40 , d ) 80 , e ) 70", + "Correct": "c", + "Explanation": "explanation : let the required number of days be x . less sheep , more days ( indirect proportion ) less bags , less days ( direct proportion ) sheep 1 : 40 : : 40 : x bags 40 : 1 1 x 40 x x = 40 x 1 x 40 x = 40 . answer : c" + }, + { + "Answer": 32, + "Options": "a ) 15 , b ) 16 , c ) 17 , d ) 28 , e ) 32", + "Correct": "e", + "Explanation": "\"speed = 63 * 5 / 18 = 35 / 2 m / sec time taken = 560 * 2 / 35 = 32 sec answer : option e\"" + }, + { + "Answer": 11, + "Options": "a ) 33 , b ) 66 , c ) 88 , d ) 11 , e ) 281", + "Correct": "d", + "Explanation": "\"( 9 * 8 ) / 30 = ( x * 6 ) / 50 = > x = 20 20 \u2013 9 = 11 answer : d\"" + }, + { + "Answer": 21, + "Options": "a ) 19 , b ) 21 , c ) 23 , d ) 25 , e ) 27", + "Correct": "b", + "Explanation": "explanation : 20 15 5 25 20 8 500 + 300 + 40 = 840 / 40 = 21 b" + }, + { + "Answer": 225, + "Options": "a ) 235 miles . , b ) 245 miles . , c ) 225 miles . , d ) 265 miles . , e ) 275 miles .", + "Correct": "c", + "Explanation": "\"the total distance d traveled by john is given by d = 45 * 2 + 3 * 45 = 225 miles . answer c\"" + }, + { + "Answer": 0.03571428571428571, + "Options": "a ) 1 / 30 , b ) 1 / 25 , c ) 1 / 20 , d ) 1 / 28 , e ) 1 / 30", + "Correct": "d", + "Explanation": "probability that john and david will both be chosen out of 8 workers = ( 2 / 8 ) * ( 1 / 7 ) = 1 / 28 answer d" + }, + { + "Answer": 24, + "Options": "a ) 14 , b ) 24 , c ) 16 , d ) 18 , e ) 20", + "Correct": "b", + "Explanation": "\"consider max starts from point a and brad starts from point b and move towards each other . assume they shall meet at point o after time ' t ' . the question asks us to find oa . from the question stem we can make out : - distance oa = 50 km - distance ob = > 6 xt = 72 - 12 xt ( i . e distance = speed x time ) = > 18 t = 72 hence t = 4 oa = 6 x 4 = 24 km answer : b\"" + }, + { + "Answer": 60, + "Options": "a ) 60 sec , b ) 90 sec , c ) 120 sec , d ) 150 sec , e ) 180 sec", + "Correct": "a", + "Explanation": "speed = 250 / 10 = 25 m / sec . required time = ( 250 + 1250 ) / 25 = 60 sec answer : a" + }, + { + "Answer": 27, + "Options": "a ) 22 , b ) 46 , c ) 17 , d ) 27 , e ) 33", + "Correct": "d", + "Explanation": "d i will take 27 days to come out of that well for that man , he climbs 4 meter every day and slips 3 meter down that means he climbs 1 meter in total each day , so like this on 26 th day he would have climbed 26 meter and on 27 th day he will climb 4 meeter again so total 30 meter he will climb in 27 days ." + }, + { + "Answer": 0.016666666666666666, + "Options": "a ) 1 / 65 , b ) 1 / 62 , c ) 1 / 63 , d ) 1 / 60 , e ) 1 / 61", + "Correct": "d", + "Explanation": "a = 140 days b = 105 days 1 / 140 + 1 / 105 = 7 / 420 = 1 / 60 = > 60 days answer : d" + }, + { + "Answer": 48, + "Options": "a ) a ) 45 , b ) b ) 33 , c ) c ) 48 , d ) d ) 55 , e ) e ) 61", + "Correct": "c", + "Explanation": "\"let y be the balance distance to be covered and x be the former speed . a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late so , y / ( 3 x / 4 ) - y / x = 35 / 60 4 y / 3 x - y / x = 7 / 12 y / x ( 4 / 3 - 1 ) = 7 / 12 y / x * 1 / 3 = 7 / 12 y / x = 7 / 4 4 y - 7 x = 0 . . . . . . . . 1 had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late so , ( y - 24 ) / ( 3 x / 4 ) - ( y - 24 ) / x = 25 / 60 4 ( y - 24 ) / 3 x - ( y - 24 ) / x = 5 / 12 ( y - 24 ) / x ( 4 / 3 - 1 ) = 5 / 12 ( y - 24 ) / x * 1 / 3 = 5 / 12 ( y - 24 ) * 12 = 3 x * 5 ( y - 24 ) * 4 = 5 x 4 y - 5 x = 96 . . . . . . . 2 eq 2 - eq 1 2 x = 96 x = 48 = w ans = c\"" + }, + { + "Answer": 18, + "Options": "a ) 18 days , b ) 20 days , c ) 23 days , d ) 25 days , e ) 27 days", + "Correct": "a", + "Explanation": "amit \u2019 s one day \u2019 s work = 1 / 10 amit \u2019 s 2 day \u2019 s work = 1 / 10 * 2 = 1 / 5 work left = 1 - 1 / 5 = 4 / 5 ananthu \u2019 s one day \u2019 s work = 1 / 20 ananthu can do work in = 4 / 5 * 20 = 16 days so total days = 16 + 2 = 18 days answer : a" + }, + { + "Answer": 36, + "Options": "a ) 87 , b ) 69 , c ) 36 , d ) 72 , e ) 21", + "Correct": "c", + "Explanation": "\"speed = 50 km / hr = 50 * ( 5 / 18 ) m / sec = 125 / 9 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 * ( 9 / 125 ) = 36 seconds answer : c\"" + }, + { + "Answer": 20.195121951219512, + "Options": "a ) 20.195 hrs , b ) 21.195 hrs , c ) 22.195 hrs , d ) 23.195 hrs , e ) 20.495 hrs", + "Correct": "a", + "Explanation": "\"a fill in one hour = 1 / 36 b fill in one hour = 1 / 46 both fill in one hour = 1 / 36 + 1 / 46 = 82 / 1656 time taken by both pipes = 1656 / 82 = 20.195 hrs answer : a\"" + }, + { + "Answer": 162, + "Options": "a ) 104 , b ) 55 , c ) 162 , d ) 174 , e ) 2761", + "Correct": "c", + "Explanation": "\"810 / 5 = 162 kmph answer : c\"" + }, + { + "Answer": 40, + "Options": "a ) 40 sec , b ) 42 sec , c ) 45 sec , d ) 48 sec , e ) 49 sec", + "Correct": "a", + "Explanation": "\"speed of the train 45 * 5 / 18 = 25 / 2 m / sec time = ( 360 + 140 ) / 25 / 2 = 500 * 2 / 25 = 40 sec answer : a\"" + }, + { + "Answer": 432, + "Options": "a ) 400 cm cube , b ) 410 cm cube , c ) 420 cm cube , d ) 432 cm cube , e ) 480 cm cube", + "Correct": "d", + "Explanation": "\"area of a cuboid = lxbxh = 8 cm x 6 cm x 9 cm = 432 cm cube answer : d\"" + }, + { + "Answer": 73.46938775510205, + "Options": "a ) 70 , b ) 72 , c ) 74 , d ) 75 , e ) 78", + "Correct": "c", + "Explanation": "\"time to cover 1 kilometer at 80 kilometers per hour is 1 / 80 hours = 3,600 / 80 seconds = 45 seconds ; time to cover 1 kilometer at regular speed is 45 + 4 = 49 seconds = 49 / 3,600 hours = 1 / 74 hours ; so , we get that to cover 1 kilometer 1 / 74 hours is needed - - > regular speed 74 kilometers per hour ( rate is a reciprocal of time or rate = distance / time ) . answer : c\"" + }, + { + "Answer": 36, + "Options": "a ) 40 , b ) 36 , c ) 42 , d ) 44 , e ) 46", + "Correct": "b", + "Explanation": "\"man - hours required to asphalt 1 km road = 30 * 12 * 8 = 2880 man - hours required to asphalt 2 km road = 2880 * 2 = 5760 man - hours available per day = 20 * 8 = 160 therefore number of days = 5760 / 240 = 36 days ans = b\"" + }, + { + "Answer": 28, + "Options": "a ) 10 , b ) 28 , c ) 12 , d ) 14 , e ) 16", + "Correct": "b", + "Explanation": "\"26 trees have 25 gaps between them . length of each gap = 700 / 25 = 28 i . e . , distance between two consecutive trees = 28 answer is b .\"" + }, + { + "Answer": 7, + "Options": "a ) 5 minutes , b ) 6 minutes , c ) 7 minutes , d ) 8 minutes , e ) 9 minutes", + "Correct": "c", + "Explanation": "\"it will take 7 minutes for 100 cats to kill 100 rats . 1 cat can kill 1 rat in 7 minutes , so 100 cats can kill 100 rats in 7 minutes answer c\"" + }, + { + "Answer": 270, + "Options": "a ) 100 kg , b ) 120 kg , c ) 189 kg , d ) 180 kg , e ) 270 kg", + "Correct": "e", + "Explanation": "\"volume of water displaced = ( 9 x 3 x 0.01 ) m 3 = 0.27 m 3 . mass of man = volume of water displaced x density of water = ( 0.27 x 1000 ) kg = 270 kg . answer : e\"" + }, + { + "Answer": 29.997600191984642, + "Options": "a ) 25 , b ) 30 , c ) 40 , d ) 45 , e ) 60", + "Correct": "b", + "Explanation": "explanation : speed of train relatively to man = ( 60 - 6 ) km / hr = 54 km / hr = ( 54 x 5 / 18 ) m / sec = 15 m / sec time taken to pass the man = ( 450 / 15 ) sec = 30 sec . answer : b" + }, + { + "Answer": 12.239020878329734, + "Options": "a ) 15.8 sec . , b ) 12.24 sec . , c ) 11.8 sec . , d ) 10.8 sec . , e ) 08.8 sec .", + "Correct": "b", + "Explanation": "relative speed = ( 60 + 40 ) km / hr = 100 x 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = ( 140 + 200 ) m = 340 m . required time = 340 x 9 / 250 = 54 / 5 = 12.24 sec . answer b" + }, + { + "Answer": 0.49996000319974404, + "Options": "a ) 0.25 , b ) 0.5 , c ) 1.5 , d ) 2.5 , e ) 3.5", + "Correct": "b", + "Explanation": "\"speed = 360 * 5 / 18 = 100 m / sec time taken = 50 / 100 = 0.5 sec . answer : b\"" + }, + { + "Answer": 199.99999999999994, + "Options": "a ) 300 , b ) 200 , c ) 500 , d ) 400 , e ) 250", + "Correct": "b", + "Explanation": "1000 - - - - 50 1000 - - - - 40 x - - - - 50 x * 50 = 1000 * 40 x = 800 1000 - - - - - - - 200 answer = b" + }, + { + "Answer": 56, + "Options": "a ) 56 , b ) 42 , c ) 60 , d ) 45 , e ) 36", + "Correct": "a", + "Explanation": "\"the original number of men = 8 ( 60 + 10 ) / 10 = 56 men answer is a\"" + }, + { + "Answer": 54.99520038396929, + "Options": "a ) 45 kmph , b ) 55 kmph , c ) 32 kmph , d ) 61 kmph , e ) 70 kmph", + "Correct": "b", + "Explanation": "\"let the speed of the train be x kmph speed of the train relative to man = x + 5 = ( x + 5 ) * 5 / 18 m / sec 100 / [ ( x + 5 ) * 5 / 18 ] = 6 30 ( x + 5 ) = 1800 x = 55 kmph answer is b\"" + }, + { + "Answer": 18, + "Options": "a ) 18 days , b ) 12 days , c ) 29 days , d ) 25 days , e ) 27 days", + "Correct": "a", + "Explanation": "\"wc = 2 : 1 2 x + x = 1 / 6 x = 1 / 18 = > 18 days answer : a\"" + }, + { + "Answer": 5.000000000000002, + "Options": "a ) 8 , b ) 7 , c ) 6 , d ) 5 , e ) 9", + "Correct": "d", + "Explanation": "\"one way of approaching this question is by relative speed method 1 . speed / rate of donovan = distance / time = > 400 / 45 = > 80 / 9 2 . speed / rate of michael = distance / time = > 400 / 36 = > 100 / 9 relative speed between them = 100 / 9 - 80 / 9 = > 20 / 9 ( we subtract the rates if moving in the same direction and add the rates if moving in the opposite direction ) in order to pass donovan - distance to be covered = 400 , relative rate = 20 / 9 total time taken by micheal to surpass donovan = distance / rate = > 400 * 9 / 20 = > 3600 / 10 = > 180 no . of laps taken by michael = total time / michael ' s rate = > 180 / 36 = > 5 hence correct answer is 5 laps . d\"" + }, + { + "Answer": 3, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 9 , e ) 12", + "Correct": "c", + "Explanation": "\"3 people can do the work one time in one day . 1 person can do 1 / 3 of the work in one day . 9 people can do 9 / 3 of the work in one day . 9 people can do 9 times the work in 3 days . the answer is c .\"" + }, + { + "Answer": 7.384615384615384, + "Options": "a ) 23 sec , b ) 15 sec , c ) 7.38 sec , d ) 6.92 sec , e ) 16 sec", + "Correct": "c", + "Explanation": "\"c 7.38 sec speed of the bullet train relative to man = ( 70 + 8 ) kmph = 78 * 5 / 18 m / sec = 65 / 3 m / sec . time taken by the bullet train to cross the man = time taken by it to cover 160 m at ( 65 / 3 ) m / sec = ( 160 * 3 / 65 ) sec = 7.38 sec\"" + }, + { + "Answer": 328.15384615384613, + "Options": "a ) 277 sec , b ) 190 sec , c ) 328 sec , d ) 367 sec , e ) 376 sec", + "Correct": "c", + "Explanation": "\"time taken by b run 1000 meters = ( 1000 * 18 ) / 52 = 346 sec . time taken by a = 346 - 18 = 328 sec . answer : c\"" + }, + { + "Answer": 36, + "Options": "a ) 30 sec , b ) 32 sec , c ) 36 sec , d ) 38 sec , e ) 40 sec", + "Correct": "c", + "Explanation": "\"relative speed = ( 25 + 2 ) km / hr = 27 km / hr = ( 27 \u00d7 5 / 18 ) m / sec = 15 / 2 m / sec . time taken by the train to pass the man = ( 270 \u00d7 2 / 15 ) sec = 36 sec answer : c\"" + }, + { + "Answer": 700, + "Options": "a ) 700 , b ) 200 , c ) 540 , d ) 120 , e ) 635", + "Correct": "a", + "Explanation": "\"explanation : speed downstream = ( 14 + 1.2 ) = 15.2 kmph speed upstream = ( 14 - 1.2 ) = 12.8 kmph total time taken = 4864 / 15.2 + 4864 / 12.8 = 320 + 380 = 700 hours . answer : a\"" + }, + { + "Answer": 250, + "Options": "a ) 250 , b ) 266 , c ) 230 , d ) 288 , e ) 271", + "Correct": "a", + "Explanation": "\"speed = [ 300 / 18 ] m / sec = 50 / 3 m / sec . let the length of the platform be x meters . then , x + 300 / 33 = 50 / 3 3 ( x + 300 ) = 1650 \u00e8 x = 250 m . answer : a\"" + }, + { + "Answer": 29.999999999999996, + "Options": "a ) 30 min . , b ) 41 min . , c ) 17 min . , d ) 23 min . , e ) 25 min .", + "Correct": "a", + "Explanation": "\"the ratio is 2 : 3 = gym : ride , so ( 18 ) ( 3 / 2 ) = 27 minutes at the gym , and 27 + 18 = 45 minutes exercise , so ( 2 / 3 ) ( 45 ) = 30 minutes yoga . answer : a\"" + }, + { + "Answer": 814, + "Options": "['a ) 814', 'b ) 266', 'c ) 287', 'd ) 999', 'e ) 661']", + "Correct": "a", + "Explanation": "explanation : length of largest tile = h . c . f . of 1517 cm and 902 cm = 41 cm . area of each tile = required number of tiles = = 814 answer : a ) 814" + }, + { + "Answer": 9, + "Options": "a ) 3 , b ) 5 , c ) 6 , d ) 8 , e ) 9", + "Correct": "e", + "Explanation": "\"work done by x in 1 day = 1 / 24 work done by y in 1 day = 1 / 16 work done by y in 10 days = 10 / 16 = 5 / 8 remaining work = 1 \u2013 5 / 8 = 3 / 8 number of days in which x can finish the remaining work = ( 3 / 8 ) / ( 1 / 24 ) = 9 e\"" + }, + { + "Answer": 30, + "Options": "a ) 45.6 , b ) 20 , c ) 9 , d ) 30 , e ) 65", + "Correct": "d", + "Explanation": "let ' s go step - by - step . 60 cups are used over a 5 day period , which means 12 cups a day . this feeds 20 parakeets , which means each parakeet needs . 60 of a cup every day . for 10 parakeets , we need 10 * . 60 cups = 6 cups a day . over 5 days , we need 30 cups . choice d ." + }, + { + "Answer": 12.5, + "Options": "a ) 12.5 minutes . , b ) 25 minutes , c ) 35 minutes . , d ) 35 minutes , e ) 75 minutes", + "Correct": "a", + "Explanation": "\"if the distance between the two houses is d . then speed of danny = ( d / 25 ) speed of steve = ( d / 50 ) [ steve takes 50 minutes to reach danny ' s house . double the time taken by danny ) obviously speed of danny is twice that of steve . now in order to cover distance ( d / 2 ) [ they meet in middle ] , steve will take : ( d / 2 ) / ( d / 50 ) = 25 minutes . distance is same and danny ' s speed is twice of steve . thus he will take 12.5 minutes to cover this same distance . steve take 25 - 12.5 = 12.5 minutes longer . a is the answer .\"" + }, + { + "Answer": 5.999520038396929, + "Options": "a ) 2 , b ) 7 , c ) 8 , d ) 6 , e ) 9", + "Correct": "d", + "Explanation": "\"t = 60 / 36 * 18 / 5 = 6 sec answer : d\"" + }, + { + "Answer": 2400, + "Options": "a ) 2400 cm cube , b ) 2410 cm cube , c ) 2420 cm cube , d ) 2430 cm cube , e ) 2480 cm cube", + "Correct": "a", + "Explanation": "\"area of a cuboid = lxbxh = 15 cm x 10 cm x 16 cm = 2400 cm cube answer : a\"" + }, + { + "Answer": 9, + "Options": "a ) 5 days , b ) 7 days , c ) 12 days , d ) 9 days , e ) 10 days", + "Correct": "d", + "Explanation": "\"explanation : a \u2019 s 5 day work = 5 * 1 / 15 = 1 / 3 remaining work = 1 - 1 / 3 = 2 / 3 b completes 2 / 3 work in 6 days b alone can do in x days 2 / 3 * x = 6 x = 9 days answer : option d\"" + }, + { + "Answer": 0.25, + "Options": "a ) 1 / 4 , b ) 1 / 3 , c ) 1 / 2 , d ) 2 / 3 , e ) 3 / 4", + "Correct": "a", + "Explanation": "\"3 revolutions per minute = 1 revolution every 20 seconds so no matter what anybody appearing at the tower can not stay in the dark for more than 20 seconds . this will be our total number of possibilities i . e the denominator . p ( man in dark for at least 15 seconds ) = 1 - p ( man in dark for max of 15 seconds ) = 1 - 15 / 20 = 1 - 3 / 4 = 1 / 4 or the other way would be : p ( man in dark for at least 5 seconds ) is like saying he can be in dark for 5 , 6,7 . . . all the way to 20 seconds because that is the max . in this approach it would be 5 / 20 seconds = 1 / 4 . answer is a\"" + }, + { + "Answer": 0.2, + "Options": "a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 5 , d ) 2 / 15 , e ) 4 / 15", + "Correct": "c", + "Explanation": "john will run farther if he runs at 5 mph and amanda runs at 4 mph or 3 mph . in this case , p ( john runs farther ) = 1 / 3 * 2 / 5 = 2 / 15 john will run farther if he runs at 4 mph and amanda runs at 3 mph . in this case , p ( john runs farther ) = 1 / 3 * 1 / 5 = 1 / 15 p ( john runs farther ) = 2 / 15 + 1 / 15 = 3 / 15 = 1 / 5 the answer is c ." + }, + { + "Answer": 12.59899208063355, + "Options": "a ) 15.8 sec . , b ) 12.6 sec . , c ) 11.8 sec . , d ) 10.8 sec . , e ) 08.8 sec .", + "Correct": "b", + "Explanation": "\"relative speed = ( 60 + 40 ) km / hr = 100 x 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = ( 140 + 210 ) m = 350 m . required time = 350 x 9 / 250 = 54 / 5 = 12.6 sec . answer b\"" + }, + { + "Answer": 60, + "Options": "a ) 60 , b ) 30 , c ) 35 , d ) 20 , e ) none of these", + "Correct": "a", + "Explanation": "\"40 men complete 0.4 work in 25 days . applying the work rule , m 1 \u00d7 d 1 \u00d7 w 2 = m 2 \u00d7 d 2 \u00d7 w 1 we have , 40 \u00d7 25 \u00d7 0.6 = m 2 \u00d7 25 \u00d7 0.4 or m 2 = 40 \u00d7 25 \u00d7 0.6 / 25 \u00d7 0.4 = 60 men answera\"" + }, + { + "Answer": 32, + "Options": "a ) 13 seconds , b ) 17 seconds , c ) 26 seconds , d ) 32 seconds , e ) 51 seconds", + "Correct": "d", + "Explanation": "\"let t be the time that john spent for his final push . thus , per the question , 4.2 t = 3.7 t + 14 + 2 - - - > 0.5 t = 16 - - - > t = 32 seconds . d is the correct answer .\"" + }, + { + "Answer": 175.15923566878982, + "Options": "a ) 175 , b ) 250 , c ) 300 , d ) 330 , e ) none of these", + "Correct": "a", + "Explanation": "\"radius of the wheel of bus = 100 cm . then , circumference of wheel = 2 \u00ef \u20ac r = 200 \u00ef \u20ac = 628.57 cm distance covered by bus in 1 minute = 66 \u00e2 \u0081 \u201e 60 \u00e3 \u2014 1000 \u00e3 \u2014 100 cms distance covered by one revolution of wheel = circumference of wheel = 440 cm \u00e2 \u02c6 \u00b4 revolutions per minute = 6600000 / 60 \u00e3 \u2014 628.57 = 175 answer a\"" + }, + { + "Answer": 60, + "Options": "a ) 38 sec , b ) 35 sec , c ) 44 sec , d ) 40 sec , e ) 60 sec", + "Correct": "e", + "Explanation": "\"explanation : speed = 45 km / hr = 45 \u00d7 ( 10 / 36 ) m / s = 150 / 12 = 50 / 4 = 25 / 2 m / s total distance = length of the train + length of the platform = 360 + 390 = 750 meter time taken to cross the platform = 750 / ( 25 / 2 ) = 750 \u00d7 2 / 25 = 60 seconds answer : option e\"" + }, + { + "Answer": 32, + "Options": "a ) 32 days , b ) 36 days , c ) 38 days , d ) 40 days , e ) 53 days", + "Correct": "a", + "Explanation": "the ratio of the efficiencies of a woman and man = 100 : 125 = 4 : 5 the ratio of the days taken by woman and man to finish the work = 5 : 4 woman takes 32 days to finish the work . = > 5 parts = 40 the number of days taken by man to finish the work = 4 parts = 40 / 5 x 4 = 32 days a" + }, + { + "Answer": 7, + "Options": "a ) 16 days , b ) 12 days , c ) 8 days , d ) 7 days , e ) 18 days", + "Correct": "d", + "Explanation": "\"number of days taken by ram to complete task = 21 since ram is half as efficient as krish , amount of work done by krish in 1 day = amount of work done by ram in 2 days if total work done by ram in 24 days is 21 w amount of work done by ram in 1 day = w amount of work done by krish in 1 day = 2 w total amount of work done by krish and ram in a day = 3 w total amount of time needed by krish and ram to complete task = 21 w / 3 w = 7 days answer d\"" + }, + { + "Answer": 840, + "Options": "a ) 840 , b ) 70 , c ) 740 , d ) 140 , e ) 940", + "Correct": "a", + "Explanation": "required l . c . m = l . c . m . of 7 , 8 , 3 , 5 / h . c . f . of 10 , 9 , 8 , 12 = 840 / 1 = 840 answer is a" + }, + { + "Answer": 9, + "Options": "a ) 7 , b ) 8 , c ) 9 , d ) 2 , e ) 4", + "Correct": "c", + "Explanation": "\"36 - - - 3 ds = 12 ? - - - - 1 18 - - - - 3 us = 6 ? - - - - 1 m = ? m = ( 12 + 6 ) / 2 = 9 answer : c\"" + }, + { + "Answer": 156, + "Options": "a ) 156 , b ) 146 , c ) 158 , d ) 187 , e ) 160", + "Correct": "a", + "Explanation": "\"a 156 sum = ( n x n ) + n hence , 12 x 12 = 144 + 12 = 156\"" + }, + { + "Answer": 80, + "Options": "a ) 70 m , b ) 60 m , c ) 80 m , d ) 65 m , e ) 75 m", + "Correct": "c", + "Explanation": "\"speed of a : speed of b = 4 : 1 means in a race of 4 m a gains 3 m . then in a race of 60 m he gains 60 * ( 4 / 3 ) i . e 80 m answer : c\"" + }, + { + "Answer": 10, + "Options": "a ) 22 sec , b ) 16 sec , c ) 17 sec , d ) 88 sec , e ) 10 sec", + "Correct": "e", + "Explanation": "\"speed = 63 * 5 / 18 = 35 / 2 m / sec time taken = 175 * 2 / 35 = 10 sec answer : e\"" + }, + { + "Answer": 3, + "Options": "a ) 4.5 , b ) 5.5 , c ) 6.5 , d ) 3 , e ) 8.5", + "Correct": "d", + "Explanation": "\"each 40 kilometers , 1 gallon is needed . we need to know how many 40 kilometers are there in 120 kilometers ? 120 \u00f7 40 = 3 \u00d7 1 gallon = 3 gallons correct answer d\"" + }, + { + "Answer": 40, + "Options": "a ) 40 , b ) 45 , c ) 46 , d ) 48 , e ) 50", + "Correct": "a", + "Explanation": "( time ) * ( rate ) = ( distance ) - - > ( rate ) = ( distance ) / ( time ) - - > given : ( rate ) = 160 / t = 280 / ( t + 3 ) - - > 4 / t = 7 / ( t + 3 ) - - > 4 t + 12 = 7 t - - - - > 3 t = 12 . t = 4 - - - - > ( rate ) = 160 / 4 = 40 answer : a" + }, + { + "Answer": 92, + "Options": "a ) 198 mph , b ) 110 mph , c ) 92 mph , d ) 100 mph , e ) 99 mph", + "Correct": "c", + "Explanation": "\"( 96 mph + 88 mph ) / 2 = 92 mph correct answer is : c\"" + }, + { + "Answer": 380, + "Options": "a ) 827 cm 2 , b ) 380 cm 2 , c ) 285 cm 2 , d ) 178 cm 2 , e ) 176 cm 2", + "Correct": "b", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 20 ) = 380 cm 2 answer : b\"" + }, + { + "Answer": 5.333333333333333, + "Options": "a ) 5.32 , b ) 5.7 , c ) 5.76 , d ) 5.74 , e ) 5.71", + "Correct": "a", + "Explanation": "\"m = 6 s = 2 ds = 8 us = 4 x / 8 + x / 4 = 1 x = 2.66 d = 2.66 * 2 = 5.32 answer : a\"" + }, + { + "Answer": 8, + "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 12", + "Correct": "d", + "Explanation": "\"8 workers can build 1 car per day on average . 1 worker can build 1 / 8 of a car per day . 6 workers can build 6 / 8 car per day . the time required to build 6 cars is 6 / ( 6 / 8 ) = 8 days the answer is d .\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 7 , c ) 5 , d ) 9 , e ) 6", + "Correct": "a", + "Explanation": "\"m = 12 s = 10 us = 12 - 10 = 2 d = 8 t = 8 / 2 = 4 answer : a\"" + }, + { + "Answer": 720, + "Options": "a ) 60 , b ) 720 , c ) 62.5 , d ) 3,600 , e ) 3,672", + "Correct": "b", + "Explanation": "\"moon revolves around the earth at a speed of 1.02 kilometers per second . one hour equal to 60 minutes . one minute equals to 60 seconds . so one hour equals to 3600 seconds . so one hour , speed = 0.2 * 3600 = 720 kilometers per hour . option b is correct\"" + }, + { + "Answer": 4, + "Options": "a ) 5 cm , b ) 3 cm , c ) 1 cm , d ) 4 cm , e ) 2 cm", + "Correct": "d", + "Explanation": "purple is 1.5 cm black is 0.5 cm blue is 2 cm 1.5 + 0.5 + 2 = 4 cm answer is d ) 4 cm" + }, + { + "Answer": 0.16666666666666666, + "Options": "a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 6 , d ) 2 / 5 , e ) 2 / 9", + "Correct": "c", + "Explanation": "1 days work of a + b = ( 18 + 9 ) / 18 * 9 = 1 / 6 answer is c" + }, + { + "Answer": 40, + "Options": "a ) 32 kmph , b ) 76 kmph , c ) 34 kmph , d ) 43 kmph , e ) 40 kmph", + "Correct": "e", + "Explanation": "\"s = ( 100 + 300 ) / 36 = 400 / 36 * 18 / 5 = 40 answer : e\"" + }, + { + "Answer": 34, + "Options": "a ) 34 , b ) 36 , c ) 38 , d ) 40 , e ) ( f ) 42", + "Correct": "a", + "Explanation": "jk = 5 lm = 11 kl = using distance formula 10 jm = using distance formula 8 sum of all is 34 a" + }, + { + "Answer": 11.142857142857144, + "Options": "a ) 12 days , b ) 15 days , c ) 78 / 7 days , d ) 21 days , e ) 22 / 7 days", + "Correct": "c", + "Explanation": "\"explanation : a and b can do work 1 / 6 in 1 day a alone can do 1 / 13 work in 1 day b alone can do ( 1 / 6 - 1 / 13 ) = 7 / 78 work in 1 day = > complete work can be done in 78 / 7 days by b answer : option c\"" + }, + { + "Answer": 24, + "Options": "['a ) 22', 'b ) 23', 'c ) 24', 'd ) 25', 'e ) 26']", + "Correct": "c", + "Explanation": "hexagon . it means 6 equal sides . p = 6 ( 4 ) = 24 inches answer c" + }, + { + "Answer": 11.099112071034318, + "Options": "a ) 82.1 sec , b ) 12.1 sec , c ) 16.1 sec , d ) 11.1 sec , e ) 12.15 sec", + "Correct": "d", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec total distance covered = 110 + 112 = 222 m . required time = 222 / 20 = 11.1 sec . answer : d\"" + }, + { + "Answer": 0.41666666666666663, + "Options": "a ) 8 / 17 , b ) 7 / 15 , c ) 3 / 15 , d ) 5 / 12 , e ) 1 / 4", + "Correct": "d", + "Explanation": "\"person ( a ) ( b ) ( a + b ) time - ( 15 ) ( 20 ) ( - ) rate - ( 20 ) ( 15 ) ( 35 ) work - ( 300 ) ( 300 ) ( 300 ) therefore a + b requires ( 300 / 35 ) days to complete entire work for 1 st 5 days they work 35 * 5 = 175 remaining work is 300 - 175 = 125 remaining fraction of work is = 125 / 300 = 5 / 12 answer d\"" + }, + { + "Answer": 9, + "Options": "a ) 9 , b ) 16 , c ) 21 , d ) 22 , e ) 27", + "Correct": "a", + "Explanation": "\"let the speed in highway be h mpg and in city be c mpg . h = c + 6 h miles are covered in 1 gallon 462 miles will be covered in 462 / h . similarly c miles are covered in 1 gallon 336 miles will be covered in 336 / c . both should be same ( as car ' s fuel capacity does not change with speed ) = > 336 / c = 560 / h = > 336 / c = 560 / ( c + 6 ) = > 336 c + 336 * 6 = 560 c = > c = 336 * 6 / 224 = 9 answer a .\"" + }, + { + "Answer": 5400, + "Options": "['a ) 180', 'b ) 1800', 'c ) 5400', 'd ) 18000', 'e ) 1.8']", + "Correct": "c", + "Explanation": "area of the hall = 3600 * 1500 area of each stone = ( 20 * 50 ) therefore , number of stones = ( 3600 * 1500 / 20 * 50 ) = 5400 answer : c" + }, + { + "Answer": 12, + "Options": "a ) 5 , b ) 6 , c ) 7 , d ) 12 , e ) 9", + "Correct": "d", + "Explanation": "\"speed of train relative to man = ( 60 + 6 ) km / hr = 66 km / hr [ 66 * 5 / 18 ] m / sec = [ 55 / 3 ] m / sec . time taken to pass the man = [ 220 * 3 / 55 ] sec = 12 sec answer : option d\"" + }, + { + "Answer": 25, + "Options": "a ) 15 , b ) 24 , c ) 25 , d ) 26 , e ) 13", + "Correct": "c", + "Explanation": "day 0 - payment of $ 7 is made in the morning ( after 12 am midnight ) day 1 onwards ( after 12 am midnight ) internet service will begin and will run for 7 * 2 = 14 days i . e . at the end of day 15 balance will be zero . now allay can still use the internet till her debt reaches $ 5 which means total of 5 * 2 = 10 days . now the question states for how many days , including today , will she be connected to the internet without any additional paymentsi . e . we will have to include day 0 also in our final answer . therefore total no . of days = 1 + 14 + 10 = 25 = c" + }, + { + "Answer": 18, + "Options": "a ) 18 , b ) 21 , c ) 24 , d ) 28 , e ) 30", + "Correct": "a", + "Explanation": "explanation : ( length 140 : 100 ) : ( persons 30 : 18 ) : : 42 : x = > 140 * 30 * x = 100 * 18 * 42 = > or x = 18 answer : a" + }, + { + "Answer": 75, + "Options": "a ) 50 , b ) 30 , c ) 75 , d ) 25 , e ) none of these", + "Correct": "c", + "Explanation": "\"h . c . f = ( product of the numbers ) / ( their l . c . m ) = 42000 / 560 = 75 . answer : c\"" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 12 , e ) 14", + "Correct": "d", + "Explanation": "\"lets suppose anne and bruce take a and b hrs working separately so in 1 hour they can together finish 1 / a + 1 / b portion of the work which equals 1 / 4 ( as the work is completed in 4 hours ) after anne doubles her rate of work the portion completed by the both is 1 / a + 2 / b which is equal to 1 / 3 ( as the work is completed in d = 3 hours ) solving these 2 equations we can find b as 12 so , d\"" + }, + { + "Answer": 6.000000000000001, + "Options": "a ) 8 minutes , b ) 6 minutes , c ) 7 minutes , d ) 10 minutes , e ) 9 minutes", + "Correct": "b", + "Explanation": "second pipe is opened for 10 minutes . so , part of tank filled by the second pipe = 10 / 20 = 1 / 2 . so , 1 - 1 / 2 = 1 / 2 tank is filled by first pipe . first pipe can fill 1 / 2 of tank in 1 * 12 / 2 = 6 minutes . so , the first pipe is opened for 6 minutes . answer : b" + }, + { + "Answer": 3.9996800255979523, + "Options": "a ) 3 sec , b ) 4 sec , c ) 5 sec , d ) 6 sec , e ) 7 sec", + "Correct": "b", + "Explanation": "\"t = 40 / 36 * 18 / 5 = 4 sec answer : b\"" + }, + { + "Answer": 80, + "Options": "a ) 100 km , b ) 150 km , c ) 80 km , d ) 120 km , e ) 200 km", + "Correct": "c", + "Explanation": "\"suppose after x km from the start b catches up with a . then , the difference in the time taken by a to cover x km and that taken by b to cover x km is 4 hours . x / 10 - x / 20 = 4 x = 80 km answer is c\"" + }, + { + "Answer": 10.07919366450684, + "Options": "a ) 10.9 , b ) 10.7 , c ) 10.3 , d ) 10.08 , e ) 10.2", + "Correct": "d", + "Explanation": "relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 120 + 160 = 280 m . required time = 280 * 9 / 250 = 252 / 25 = 10.08 sec . ' answer : d" + }, + { + "Answer": 336, + "Options": "a ) 243 , b ) 336 , c ) 350 , d ) 486 , e ) 540", + "Correct": "b", + "Explanation": "\"whatever : my take selecting team of 2 out of 8 to assign to the shifts = 8 c 2 = 28 ways . now 2 out of 8 means total of 4 group possible . so putting them in shifts = counting methode : first , second , third , alt , alt = 4 * 3 * 2 * 1 = 24 here alt and alt are the same : so 24 / 2 = 12 ways . total ways of selecting = ( selecting 2 out of 8 ) * arranging those teams in shifts = 28 * 12 = 336 ans : b\"" + }, + { + "Answer": 1.3, + "Options": "a ) 2.9 , b ) 2.2 , c ) 1.3 , d ) 1.2 , e ) 1.8", + "Correct": "c", + "Explanation": "13 / 36 m / s = 13 / 36 * 18 / 5 = 13 / 10 = 1.3 kmph . answer : c" + }, + { + "Answer": 6, + "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 12 , e ) 15", + "Correct": "c", + "Explanation": "\"sol . speed in still water = 1 / 2 ( 7 + 5 ) kmph = 6 kmph . answer c\"" + }, + { + "Answer": 25, + "Options": "a ) 389 m , b ) 350 m , c ) 289 m , d ) 299 m , e ) 25 m", + "Correct": "e", + "Explanation": "\"speed = 300 / 36 = 25 / 3 m / sec . let the length of the platform be x meters . then , ( x + 300 ) / 39 = 25 / 3 = > x = 25 m . answer : e\"" + }, + { + "Answer": 20, + "Options": "a ) 10 hrs , b ) 15 hrs , c ) 20 hrs , d ) 25 hrs , e ) 18 hrs", + "Correct": "c", + "Explanation": "\"1 hour he ride 50 km he ride 1000 km in = 1000 / 50 * 1 = 20 hours answer is c\"" + }, + { + "Answer": 336, + "Options": "a ) 315 min , b ) 325 min , c ) 335 min , d ) 345 min , e ) none of these", + "Correct": "c", + "Explanation": "explanation : do not be confused , take this question same as that of work done question ' s . like work done by 1 st puncture in 1 minute and by second in 1 minute . lets solve it : 1 minute work done by both the punctures = ( 19 + 16 ) = ( 518 ) so both punctures will make the type flat in ( 185 ) mins = 335 mins answer : c" + }, + { + "Answer": 17.5014, + "Options": "a ) 10 mps , b ) 14 mps , c ) 17.5 mps , d ) 19.4 mps , e ) 10.8 mps", + "Correct": "c", + "Explanation": "\"63 * 5 / 18 = 17.5 mps answer : c\"" + }, + { + "Answer": 105, + "Options": "a ) 105 , b ) 120 , c ) 140 , d ) 147 , e ) 168", + "Correct": "a", + "Explanation": "\"car y began travelling after 72 minutes or 1.2 hours . let t be the time for which car y travelled before it stopped . both cars stop when they have travelled the same distance . so , 35 ( t + 1.2 ) = 49 t or 5 t + 6 = 7 t or t = 3 distance travelled by car x from the time car y began traveling until both cars stopped is 35 x 3 = 105 miles answer : - a\"" + }, + { + "Answer": 20, + "Options": "a ) 10 minutes , b ) 15 minutes , c ) 20 minutes , d ) 22 minutes , e ) 17 minutes", + "Correct": "c", + "Explanation": "total distance from a to b - a - c = 600 m , b - c = 400 m ; therefore a - b = 1000 m ; vs = 50 m / m ; therefore , t = 1000 / 50 = 20 minutes . option c" + }, + { + "Answer": 4, + "Options": "a ) 6 days , b ) 5 days , c ) 4 days , d ) 2 days , e ) 3 days", + "Correct": "c", + "Explanation": "the length of cloth painted by one woman in one day = 180 / 6 \u00d7 3 = 10 m no . of days required to paint 200 m cloth by 5 women = 200 / 5 \u00d7 10 = 4 days answer : c" + }, + { + "Answer": 224.9999999999999, + "Options": "a ) 225 , b ) 276 , c ) 126 , d ) 187 , e ) 1267", + "Correct": "a", + "Explanation": "explanation : let the total work = 30 units . then capacity of a = 3 units , b = 2 units . now they worked for 5 days . so they must have completed 25 units . rest of the work 5 units done by c in 2 days . so c capacity = 5 / 2 = 2.5 units . given that toatal wages are rs . 1500 for 30 units . so for 1 unit of work they get rs . 50 . now b and c per day work = ( 2 + 2.5 ) = 4.5 units . so their daily wages = 4.5 \u00d7 50 = rs . 225 answer : a" + }, + { + "Answer": 29000, + "Options": "a ) 29000 , b ) 27908 , c ) 78902 , d ) 25000 , e ) 27991", + "Correct": "a", + "Explanation": "\"29 * 2 * 0.75 = 20 / 100 * 10 / 100 * 7.5 / 100 * x 29 = 1 / 100 * x = > x = 29000 answer : a\"" + }, + { + "Answer": 13.700000000000001, + "Options": "a ) 5.2 , b ) 7.4 , c ) 13.7 , d ) 21.2 , e ) 28.7", + "Correct": "c", + "Explanation": "b inches necessary to represent a distance of 383.6 miles = 383.6 / 28 = 13.7 answer c" + }, + { + "Answer": 35.99712023038157, + "Options": "a ) 25 , b ) 36 , c ) 40 , d ) 45 , e ) 50", + "Correct": "b", + "Explanation": "\"relative speed of the train = 63 - 3 = 60 kmph = 60 * 5 / 18 = 50 / 3 m / sec t = 600 * 3 / 50 = 36 sec answer : b\"" + }, + { + "Answer": 202.48380129589634, + "Options": "a ) 202.5 sec , b ) 205.5 sec , c ) 200 sec , d ) 1350 sec , e ) 900 sec", + "Correct": "a", + "Explanation": "total length = 450 + 900 = 1350 speed = 24 km / h = ( 24 * 5 ) / 18 = 20 / 3 m / s time = ( 1350 * 3 ) / 20 = 202.5 sec . answer : a" + }, + { + "Answer": 250.00000000000003, + "Options": "a ) 287 , b ) 699 , c ) 250 , d ) 168 , e ) 150", + "Correct": "c", + "Explanation": "\"speed = 60 * 5 / 18 = 50 / 3 m / sec length of the train = speed * time = 50 / 3 * 12 = 250 m answer : c\"" + }, + { + "Answer": 42, + "Options": "a ) 25 hr , b ) 42 hr , c ) 40 hr , d ) 20 hr , e ) 50 hr", + "Correct": "b", + "Explanation": "suppose pipe a alone take x hours to fill the tank then pipe b and c will take x / 2 and x / 4 hours respectively to fill the tank . 1 / x + 2 / x + 4 / x = 1 / 6 7 / x = 1 / 6 x = 42 hours answer is b" + }, + { + "Answer": 63, + "Options": "a ) 30 min , b ) 35 min , c ) 63 min , d ) 50 min , e ) 55 min", + "Correct": "c", + "Explanation": "\"there are 9 hours in between 9 a . m . to 6 p . m . 9 * 7 = 63 minutes . answer : c\"" + }, + { + "Answer": 250, + "Options": "a ) 299 m , b ) 777 m , c ) 200 m , d ) 250 m , e ) 128 m", + "Correct": "d", + "Explanation": "\"2 ( l + 100 ) = 700 = > l = 250 m answer : d\"" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", + "Correct": "a", + "Explanation": "\"12 / ( 2 * 2 ) = 3 days answer : a\"" + }, + { + "Answer": 39.99999999999999, + "Options": "a ) 40 , b ) 30 , c ) 50 , d ) 80 , e ) 54", + "Correct": "a", + "Explanation": "let total water in cistern = x liter speed of a = 2 x / 15 l / m ( speed = liter / time ) speed of b = x / 5 l / m speed of c = 14 l / m according to question x + ( x / 5 + 2 x / 15 ) * 60 = 60 * 14 x + = 60 * 14 x = 40 liter answer : a" + }, + { + "Answer": 128, + "Options": "a ) 140 , b ) 150 , c ) 160 , d ) 128 , e ) 180", + "Correct": "d", + "Explanation": "l . c . m of two numbers is given by ( product of the two numbers ) / ( h . c . f of the two numbers ) = 2560 / 20 = 128 . answer : d" + }, + { + "Answer": 300, + "Options": "a ) 300 km , b ) 200 km , c ) 250 km , d ) 400 km , e ) 220 km", + "Correct": "a", + "Explanation": "\"t = 4 hrs d = t * s = 75 * 4 = 300 km answer is a\"" + }, + { + "Answer": 0.5333333333333333, + "Options": "a ) 2 / 15 , b ) 8 / 15 , c ) 3 / 11 , d ) 1 / 12 , e ) 6 / 13", + "Correct": "b", + "Explanation": "\"a ' s 1 day work = 1 / 15 b ' s 1 day work = 1 / 20 a + b 1 day work = 1 / 15 + 1 / 20 = 7 / 60 a + b 4 days work = 7 / 60 * 4 = 7 / 15 remaining work = 1 - 7 / 15 = 8 / 15 answer is b\"" + }, + { + "Answer": 270, + "Options": "a ) 180 , b ) 210 , c ) 240 , d ) 270 , e ) 300", + "Correct": "d", + "Explanation": "the relative speed of jack and christina is 5 + 3 = 8 feet per second . the distance between them is 240 feet , hence they will meet in ( time ) = ( distance ) / ( relative speed ) = 240 / 8 = 30 seconds . for all this time lindy was running back and forth , so it covered ( distance ) = ( speed ) * ( time ) = 9 * 30 = 270 feet . answer : d ." + }, + { + "Answer": 10, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 16 , e ) 18", + "Correct": "a", + "Explanation": "\"ratio of times taken by sakshi and tanys = 120 : 100 = 6 : 5 suppose tanya takes x days to do the work . 6 : 5 : : 12 : x = > x = 10 days . hence , tanya takes 10 days to complete the work . answer : a\"" + }, + { + "Answer": 10666.666666666666, + "Options": "a ) 10666 , b ) 11678 , c ) 12345 , d ) 10678 , e ) 19099", + "Correct": "a", + "Explanation": "\"( 4000 * 4 * 40 ) / 60 = 10666 m 3 answer : a\"" + }, + { + "Answer": 8, + "Options": "a ) 3 , b ) 5 , c ) 8 , d ) 9 , e ) 10", + "Correct": "c", + "Explanation": "\"solution speed in still water = 1 / 2 ( 11 + 5 ) kmph = 8 kmph . answer c\"" + }, + { + "Answer": 135.0108, + "Options": "a ) 80 m , b ) 100 m , c ) 120 m , d ) 135 m , e ) none", + "Correct": "d", + "Explanation": "\"solution relative speed = ( 36 + 45 ) km / hr = ( 81 x 5 / 18 ) m / sec = ( 45 / 2 ) m / sec length of the train = ( 45 / 2 x 6 ) m = 135 m . answer d\"" + }, + { + "Answer": 50, + "Options": "a ) 11 , b ) 50 , c ) 28 , d ) 27 , e ) 18", + "Correct": "b", + "Explanation": "explanation : we know 60 min = 1 hr total northward laxmi ' s distance = 20 kmph x 1 hr = 20 km total southward prasanna ' s distance = 30 kmph x 1 hr = 30 km total distance between prasanna and laxmi is = 20 + 30 = 50 km . answer : b" + }, + { + "Answer": 525, + "Options": "a ) 375 , b ) 425 , c ) 475 , d ) 525 , e ) 575", + "Correct": "d", + "Explanation": "the speed of the bus is 320 / 5 = 64 km / hr the speed of the train is ( 64 * 5 ) / 4 = 80 km / hr the speed of the car is 80 / 16 * 15 = 75 km / hr the distance covered by the car in 7 hours is 75 \u00d7 7 = 525 km the answer is d ." + }, + { + "Answer": 8, + "Options": "a ) 23 sec , b ) 15 sec , c ) 12 sec , d ) 8 sec , e ) 16 sec", + "Correct": "d", + "Explanation": "\"d 8 sec speed of the bullet train relative to man = ( 50 + 4 ) kmph = 54 * 5 / 18 m / sec = 45 / 3 m / sec . time taken by the bullet train to cross the man = time taken by it to cover 120 m at ( 45 / 3 ) m / sec = ( 120 * 3 / 45 ) sec = 8 sec\"" + }, + { + "Answer": 36, + "Options": "a ) 987 , b ) 271 , c ) 72 , d ) 27 , e ) 36", + "Correct": "e", + "Explanation": "\"length = speed * time speed = l / t s = 200 / 20 s = 10 m / sec speed = 10 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 36 kmph answer : e\"" + }, + { + "Answer": 38, + "Options": "a ) 39 \u00b0 c , b ) 44 \u00b0 c , c ) 38 \u00b0 c , d ) 42 \u00b0 c , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : t + w + t = 32 \u00d7 3 = 96 \u00b0 c w + t + f = 34 \u00d7 3 = 102 \u00b0 c also , temperature on friday = 44 \u00b0 c temperature on tuesday = 96 + 44 - 102 = 38 \u00b0 c answer : option c\"" + }, + { + "Answer": 9.5, + "Options": "a ) 8.1 , b ) 8.3 , c ) 8.6 , d ) 8.9 , e ) 9.5", + "Correct": "e", + "Explanation": "\"distance = d 1 = x miles speed = s 1 = 10 miles per hour time = t 1 = distance / speed = x / 10 2 . going from b to a distance = d 2 = x miles speed = s 2 = 9 miles per hour time = t 2 = distance / speed = x / 9 3 . average speed = total distance / total time total distance = x + x = 2 x total time = x / 10 + x / 9 = x ( 1 / 10 + 1 / 9 ) = x ( 4 + 5 ) / 40 = 19 x / 90 speed = 2 x / ( 19 x / 90 ) = ( 2 x * 90 ) / 9 x = 180 x / 19 x = 180 / 19 = 9.5 answer : e\"" + }, + { + "Answer": 60, + "Options": "a ) 20 % , b ) 25 % , c ) 30 % , d ) 35 % , e ) 60 %", + "Correct": "e", + "Explanation": "\"answer : e 216 \u00b0 divided by 360 \u00b0 equals 0.6 , therefore the sector is equal to 60 % of the total\"" + }, + { + "Answer": 150, + "Options": "a ) 150 kms , b ) 160 kms , c ) 170 kms , d ) 180 kms , e ) 190 kms", + "Correct": "a", + "Explanation": "@ 50 kmph , one km distance uses 1 / 19.5 ltr petrol . @ 70 kmph , one km dist . uses 1.3 / 19.5 ltr petrol distance travelled with 10 ltrs @ 70 kmph = 10 * 19.5 / 1.3 = 150 kms . answer : a" + }, + { + "Answer": 345, + "Options": "a ) 227 , b ) 299 , c ) 345 , d ) 161 , e ) 212", + "Correct": "c", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 28 + 18 ) * ( 15 ) = 345 cm 2 answer : c\"" + }, + { + "Answer": 35, + "Options": "a ) 600 , b ) 800 , c ) 1000 , d ) 720 , e ) 1500", + "Correct": "d", + "Explanation": "answer : d ." + }, + { + "Answer": 40, + "Options": "a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50", + "Correct": "c", + "Explanation": "\"let v be her normal speed and let t be her normal time . d = ( 4 / 5 ) v * ( t + 10 ) since the distance is the same we can equate this to a regular day which is d = v * t v * t = ( 4 / 5 ) v * ( t + 10 ) t / 5 = 8 t = 40 the answer is c .\"" + }, + { + "Answer": 17, + "Options": "a ) 10 m , b ) 12 m , c ) 17 m , d ) 19 m , e ) none", + "Correct": "c", + "Explanation": "solution length of longest pole = length of the diagonal of the room = \u221a ( 12 ) 2 + 82 + 92 \u2039 = \u203a \u221a 289 = 17 m . answer c" + }, + { + "Answer": 20, + "Options": "a ) 10 , b ) 25 , c ) 60 , d ) 30 , e ) 20", + "Correct": "e", + "Explanation": "\"a + b 10 days work = 10 * 1 / 40 = 1 / 4 remaining work = 1 - 1 / 4 = 3 / 4 3 / 4 work is done by a in 15 days whole work will be done by a in 15 * 4 / 3 = 20 days answer is e\"" + }, + { + "Answer": 4.499640028797696, + "Options": "a ) 7 sec , b ) 6 sec , c ) 8 sec , d ) 4.5 sec , e ) 2 sec", + "Correct": "d", + "Explanation": "\"speed of train relative to man = 82 + 6 = 88 km / hr . = 88 * 5 / 18 = 24.44 m / sec . time taken to pass the men = 110 / 24.44 = 4.5 sec . answer : d\"" + }, + { + "Answer": 2.5, + "Options": "a ) 2 , b ) 2.5 , c ) 3 , d ) 3.5 , e ) 4", + "Correct": "b", + "Explanation": "\"as cars are moving in opposite directions their speeds will be added . so their relative speeds : 45 + 25 = 70 mph total distance to be covered = 175 miles . time taken would be : 175 miles / 70 mph = 2.5 hours b is the answer .\"" + }, + { + "Answer": 35.00860766835085, + "Options": "a ) 22 , b ) 28 , c ) 35 , d ) 37 , e ) 13", + "Correct": "c", + "Explanation": "\"36 / 7 r = 180 = > r = 35 answer : c\"" + }, + { + "Answer": 50, + "Options": "a ) 40 , b ) 45 , c ) 50 , d ) 55 , e ) 60", + "Correct": "c", + "Explanation": "the time is the distance / speed . the time difference is 1 hour . 550 / v - 550 / ( v + 5 ) = 1 550 ( v + 5 ) - 550 v = ( v ) ( v + 5 ) 2750 = ( v ) ( v + 5 ) 50 * 55 = ( v ) ( v + 5 ) v = 50 mph the answer is c ." + }, + { + "Answer": 26, + "Options": "a ) 25 , b ) 26 , c ) 27 , d ) 28 , e ) 29", + "Correct": "b", + "Explanation": "let the numbers be x , x + 1 and x + 2 x 2 + ( x + 1 ) 2 + ( x + 2 ) 2 = 2030 3 x 2 + 6 x - 2025 = 0 ( x + 27 ) ( x - 25 ) = 0 x = 25 the middle number is 26 answer b 26" + }, + { + "Answer": 3.0000000000000004, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", + "Correct": "b", + "Explanation": "dan can complete 1 / 12 of the job per hour . in 8 hours , dan completes 8 ( 1 / 12 ) = 2 / 3 of the job . annie can complete 1 / 9 of the job per hour . to complete the job , annie will take 1 / 3 / 1 / 9 = 3 hours . the answer is b ." + }, + { + "Answer": 20, + "Options": "a ) 65 , b ) 38 , c ) 20 , d ) 28 , e ) 21", + "Correct": "c", + "Explanation": "answer : c ) 20 km" + }, + { + "Answer": 83.72093023255815, + "Options": "a ) 82.7 % , b ) 81.7 % , c ) 83.7 % , d ) 89.7 % , e ) 88.7 %", + "Correct": "c", + "Explanation": "\"72 / 86 * 100 = 83.72 83.7 % correct answer c\"" + }, + { + "Answer": 13.333333333333332, + "Options": "a ) 10 , b ) 12 , c ) 20 , d ) 30 , e ) 13.33", + "Correct": "e", + "Explanation": "x ' s 1 day ' s work = 1 / 20 y ' s 1 day ' s work = 1 / 40 ( x + y ) ' s 1 day ' s work = ( 1 / 20 + 1 / 40 ) = 1 / 13.33 both together will finish the work in 13.33 days . correct option is e" + }, + { + "Answer": 7.555555555555555, + "Options": "a ) 4.7 kmph , b ) 7.6 kmph , c ) 4 kmph , d ) 7 kmph , e ) 5.3 kmph", + "Correct": "b", + "Explanation": "distance covered by a in 30 min = 1 km b covers extra 1 km in 1 hour 48 minutes ( 9 / 5 hr ) i . e . relative speed of b over a = 1 / ( 9 / 5 ) = 5 / 9 so the speed of b = speed of a + 5 / 9 = 7 + 5 / 9 = 7.55 answer b" + }, + { + "Answer": 3, + "Options": "a ) 1.5 , b ) 2.0 , c ) 2.5 , d ) 3.0 , e ) 3.5", + "Correct": "d", + "Explanation": "relative speed of car a is 58 - 50 = 8 miles per hour , to catch up 16 miles and drive 8 miles ahead so to drive 24 miles it ' ll need 24 / 8 = 3 hours . answer : d" + }, + { + "Answer": 85, + "Options": "a ) rs . 80 , b ) rs . 85 , c ) rs . 90 , d ) rs . 95 , e ) none of these", + "Correct": "b", + "Explanation": "\"sp of 1 m of cloth = 8500 / 85 = rs . 105 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 100 - rs . 15 = rs . 85 . answer : b\"" + }, + { + "Answer": 90, + "Options": "a ) 45 , b ) 80 , c ) 90 , d ) 100 , e ) 120", + "Correct": "c", + "Explanation": "\"gear q makes 30 more revolutions each 60 seconds . the time to make 45 = 30 * 1.5 more revolutions is 60 * 1.5 = 90 seconds . the answer is c .\"" + }, + { + "Answer": 40, + "Options": "a ) 65 , b ) 40 , c ) 30 , d ) 78 , e ) 38", + "Correct": "b", + "Explanation": "\"us = 25 ds = 55 m = ( 55 + 25 ) / 2 = 40 answer : b\"" + }, + { + "Answer": 4.19047619047619, + "Options": "a ) 8.18 hrs . , b ) 6.18 hrs . , c ) 4.18 hrs . , d ) 1.18 hrs . , e ) 7.18 hrs .", + "Correct": "c", + "Explanation": "explanation : distance to be covered = = 40 km relative speed of bikers = 16 + 14 = 30 kmph . now , = = 4.18 hrs . answer : c" + }, + { + "Answer": 233, + "Options": "a ) 224 m 2 , b ) 250 m 2 , c ) 220 m 2 , d ) 230 m 2 , e ) 233 m 2", + "Correct": "e", + "Explanation": "\"area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 14 x 1.25 + 12 x 1.25 ) + 12 x 14 ] m 2 = 233 m 2 . answer : e\"" + }, + { + "Answer": 45.0036, + "Options": "a ) 10.8 , b ) 18 , c ) 30 , d ) 38.8 , e ) 45", + "Correct": "e", + "Explanation": "\"solution speed = 108 kmph = ( 162 x 5 / 18 ) m / sec = 45 m / sec . answer e\"" + }, + { + "Answer": 20, + "Options": "a ) 18 kmph , b ) 19 kmph , c ) 21 kmph , d ) 22 kmph , e ) 20 kmph", + "Correct": "e", + "Explanation": "\"the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 60 / 3 = 20 kmph . answer : e\"" + }, + { + "Answer": 2, + "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", + "Correct": "a", + "Explanation": "120 / 10 = 12 . the difference is 12 - 10 = 2 . answer a" + }, + { + "Answer": 10, + "Options": "a ) 9 days , b ) 10 days , c ) 11 days , d ) 12 days , e ) 13 days", + "Correct": "b", + "Explanation": "solution : work done by one man in one day = 1 / ( 15 * 10 ) work done by one boy in one day = 1 / ( 20 * 15 ) work done by 10 men and 10 boys in one day = 10 [ 1 / ( 15 * 10 ) + 1 / ( 20 * 15 ) ] days taken = 1 / work done by 10 men and 10 boys in one day answer b" + }, + { + "Answer": 45, + "Options": "a ) 45 min , b ) 10 min , c ) 12 min , d ) 20 min , e ) 18 min", + "Correct": "a", + "Explanation": "\"speed of the bus without stoppage = 48 km / hr speed of the bus with stoppage = 12 km / hr difference in speed = 36 km / hr so , the time taken in the stoppages = time taken to cover 36 km = ( 36 / 48 ) hr = 3 / 4 hr = 45 min answer : a\"" + }, + { + "Answer": 200, + "Options": "a ) 100 m , b ) 200 m , c ) 300 m , d ) 250 m , e ) 350 m", + "Correct": "b", + "Explanation": "\"speed = [ 42 x 5 / 18 ] m / sec = [ 35 / 3 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 130 + x ) / 60 35 / 3 = ( 130 + x ) / 60 500 + x = 700 = > x = 200 m answer : b\"" + }, + { + "Answer": 22.2, + "Options": "a ) 18.4 km , b ) 20.6 km , c ) 21.4 km , d ) 1111 km , e ) 22.2 km", + "Correct": "e", + "Explanation": "\"explanation : speed downstream = ( 30 + 7 ) = 37 kmph time = 36 minutes = 36 / 60 hour = 3 / 5 hour distance travelled = time \u00d7 speed = ( 3 / 5 ) \u00d7 37 = 22.2 km answer : option e\"" + }, + { + "Answer": 26, + "Options": "a ) 10 , b ) 26 , c ) 14 , d ) 15 , e ) 16", + "Correct": "b", + "Explanation": "\"let the required number of days be x . less persons , more days ( indirect proportion ) more working hours per day , less days ( indirect proportion ) persons 30 : 39 : : 12 : x working hours / day 3 : 5 30 x 3 x x = 39 x 5 x 12 x = ( 39 x 5 x 12 ) / ( 30 x 3 ) x = 26 . answer : b\"" + }, + { + "Answer": 72, + "Options": "a ) 66 , b ) 70 , c ) 72 , d ) 75 , e ) 78", + "Correct": "c", + "Explanation": "\"first round distance travelled ( say ) = d speed = 80 k / h time taken , t 2 = d / 80 hr second round distance traveled = d ( same distance ) speed = 120 k / h time taken , t 2 = d / 120 hr total time taken = 2 hrs therefore , 2 = d / 80 + d / 120 lcm of 80 and 120 = 240 2 = d / 80 + d / 120 = > 2 = 3 d / 240 + 2 d / 240 = > d = 240 * 2 / 5 km therefore , t 1 = d / 80 = > t 1 = ( 240 * 2 ) / ( 5 x 80 ) = > t 1 = ( 6 x 60 ) / 5 - - in minutes = > t 1 = 72 minutes . c\"" + }, + { + "Answer": 48, + "Options": "a ) 48 minutes , b ) 14 minutes , c ) 39 minutes , d ) 40 minutes 20 seconds , e ) none of these", + "Correct": "a", + "Explanation": "\"in one cycle they fill 40 + 30 - 20 = 50 liters 800 = 50 * n = > n = 16 here n = number of cycles . total time = 16 * 3 = 48 as in one cycle there are 3 minutes . thus 48 minutes answer : a\"" + }, + { + "Answer": 7.2, + "Options": "a ) 17.2 km , b ) 7.2 km , c ) 7.6 km , d ) 17.6 km , e ) 27.2 km", + "Correct": "b", + "Explanation": "\"speed of a boat in still water = 15 km / hr speed of the current = 3 km / hr speed downstream = ( 15 + 3 ) = 18 km / hr distance travelled downstream in 24 minutes = ( 24 / 60 ) \u00d7 18 = ( 2 \u00d7 18 ) / 5 = 7.2 km answer is b\"" + }, + { + "Answer": 30, + "Options": "a ) 15 min , b ) 30 min , c ) 12 min , d ) 20 min , e ) 18 min", + "Correct": "b", + "Explanation": "\"speed of the bus without stoppage = 12 km / hr speed of the bus with stoppage = 6 km / hr difference in speed = 6 km / hr so , the time taken in the stoppages = time taken to cover 6 km = ( 6 / 12 ) hr = 1 / 2 hr = 30 min answer : b\"" + }, + { + "Answer": 55, + "Options": "a ) 34 days , b ) 40 days , c ) 46 days , d ) 50 days , e ) 55 days", + "Correct": "e", + "Explanation": "\"explanation : less cows , more days ( indirect proportion ) less bags , less days ( direct proportion ) [ cows 1 55 bags 55 1 ] : : 55 : x = > x \u2217 55 \u2217 1 = 55 \u2217 1 \u2217 55 = > x = 55 option e\"" + }, + { + "Answer": 70, + "Options": "a ) 70 hours , b ) 30 hours , c ) 35 hours , d ) 50 hours , e ) 60 hours", + "Correct": "a", + "Explanation": "1 / a + 1 / b + 1 / c = 1 / 10 ( a , b and c 1 hour work ) given . . 1 / b = 2 / a and 1 / c = 2 / b = 4 / a hence 1 / a + 2 / a + 4 / a = 1 / 10 on solving . . . . we get 1 / a = 1 / 70 ( work done by a in 1 hour ) therefore time taken by a is 70 hours to finish the whole work answer : a" + }, + { + "Answer": 180, + "Options": "a ) 100 , b ) 120 , c ) 140 , d ) 160 , e ) 180", + "Correct": "e", + "Explanation": "\"after two hours , train a is ahead by 60 miles . train b can catch up at a rate of 15 miles per hour . the time to catch up is 60 / 15 = 4 hours . in 4 hours , train a travels another 30 * 4 = 120 miles for a total of 180 miles . the answer is e .\"" + }, + { + "Answer": 40, + "Options": "a ) 40 days , b ) 100 days , c ) 120 days , d ) 110 days , e ) 90 days", + "Correct": "a", + "Explanation": "\"rate of both = 1 / 20 together they do = 1 / 20 * 15 = 3 / 4 left work = 1 - 3 / 4 = 1 / 4 adam completes 1 / 4 work in 10 day so he took 10 * 4 = 40 days to complete the left work alone . thus the rate of adam is 40 / 1 rate of micheal = 1 / 20 - 1 / 40 = 1 / 40 thus micheal takes 40 days to complete the whole work . ans . a .\"" + }, + { + "Answer": 15, + "Options": "a ) 13 , b ) 17 , c ) 15 , d ) 19 , e ) 12", + "Correct": "c", + "Explanation": "\"let the leak can empty the full tank in x hours 1 / 6 - 1 / x = 1 / 10 = > 1 / x = 1 / 6 - 1 / 10 = ( 5 - 3 ) / 30 = 2 / 30 = 1 / 15 = > x = 15 . answer : c\"" + }, + { + "Answer": 44.99640028797697, + "Options": "a ) 10.6 , b ) 45 , c ) 10.4 , d ) 10.8 , e ) 10.1", + "Correct": "b", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 500 + 750 = 1250 m . required time = 1250 * 9 / 250 = 45 sec . answer : b\"" + }, + { + "Answer": 10.5, + "Options": "a ) 8.5 , b ) 9.5 , c ) 10.5 , d ) 11.5 , e ) 12.5", + "Correct": "c", + "Explanation": "\"let x be the total time it takes for the cistern to fill . 2 / 12 + x / 15 = 1 x / 15 = 5 / 6 x = 12.5 after the first pipe is turned off , it takes 10.5 more minutes to fill the cistern . the answer is c .\"" + }, + { + "Answer": 300, + "Options": "a ) 240 meters , b ) 360 meters , c ) 420 meters , d ) 300 meters , e ) can not be determined", + "Correct": "d", + "Explanation": "\"speed of train = 72 * ( 5 / 18 ) = 20 m / s lets consider the man as a stationery point on the platform . crossing the point gives us the length of the train . lt = 20 * 18 = 360 m . crossing the platform gives us the length of trainlength of platform . l ( t + p ) = 20 * 33 = 660 m . so , length of platform = 660 - 360 = 300 m imo , answer d\"" + }, + { + "Answer": 24, + "Options": "a ) 6.33 , b ) 7.5 , c ) 10 , d ) 15 , e ) 24", + "Correct": "e", + "Explanation": "\"if there is one bacteria colony , then it will reach the limit of its habitat in 25 days . if there are two bacteria colonies , then in order to reach the limit of habitat they would need to double one time less than in case with one colony . thus colonies need to double 24 times . answer : e . similar questions to practice : hope it helps .\"" + }, + { + "Answer": 8, + "Options": "a ) 12 , b ) 4 , c ) 6 , d ) 8 , e ) 20", + "Correct": "d", + "Explanation": "explanation : wages of 1 woman for 1 day = 21600 / 40 \u00e3 \u2014 30 wages of 1 man for 1 day = 21600 \u00e3 \u2014 4 / 40 \u00e3 \u2014 30 wages of 1 man for 25 days = 21600 \u00e3 \u2014 4 \u00e3 \u2014 25 / 40 \u00e3 \u2014 30 number of men = 14400 / ( 21600 \u00e3 \u2014 4 \u00e3 \u2014 25 / 40 \u00e3 \u2014 30 ) = 144 / ( 216 \u00e3 \u2014 100 / 40 \u00e3 \u2014 30 ) = 8 answer : option d" + }, + { + "Answer": 0.45, + "Options": "a ) 0.9 , b ) 0.75 , c ) 0.6 , d ) 0.45 , e ) none of these", + "Correct": "d", + "Explanation": "explanation : l is the lamp post position , f is father and s is son \u2019 s position . x is the point where the shadow falls . ld = 0.9 = son \u2019 s height , lb = 1.8 = father \u2019 s height . so ab = 6 \u2013 1.8 = 4.2 also bc = lf = 2.1 we observe that \u2206 abc ~ \u2206 ade ( two triangles are similar ) . hence , the corresponding sides are proportional . so , ab / ad = dc / de . 4.2 / 5.1 = 2.1 / de . de = 5.1 * 2.1 / 4.2 = 5.1 / 2 = 2.55 . ls = de = 2.55 fs = ls \u2013 lf = 2.55 \u2013 2.1 = 0.45 . answer : d" + }, + { + "Answer": 0.75, + "Options": "a ) 2 / 3 , b ) 1 , c ) 3 / 4 , d ) 3 / 2 , e ) 2", + "Correct": "c", + "Explanation": "rate of a = 1 / 2 tank / hour ; rate of b = 1 / 3 tank / hour ; rate of c = 1 / 6 tank / hour . combined rate when a and b are used to pump - out water , while c is used to fill water into the tank is 1 / 2 + 1 / 3 - 1 / 6 = 2 / 3 tank hour . so , to empty the full tank 3 / 2 hours ( reciprocal of rate ) are needed . to empty the half - full tank half of that time would be needed : 1 / 2 * 3 / 2 = 3 / 4 hours . answer : c ." + }, + { + "Answer": 4, + "Options": "a ) 5 hours , b ) 4 hours , c ) 3 hours , d ) 2 hours , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : speed of the boat in still water = 22 km / hr speed of the stream = 5 km / hr speed downstream = ( 22 + 5 ) = 27 km / hr distance travelled downstream = 108 km time taken = distance / speed = 108 / 27 = 4 hours . answer : option b\"" + }, + { + "Answer": 9, + "Options": "a ) 8 hours , b ) 6 hours , c ) 4 hours , d ) 5 hours , e ) 9 hours", + "Correct": "e", + "Explanation": "\"still water = 12 km / hr downstream = 54 / 3 = 18 km / hr upstream = > > still water = ( u + v / 2 ) = > > 12 = u + 18 / 2 = 6 km / hr so time taken in upstream = 545 / 6 = 9 hrs answer : e\"" + }, + { + "Answer": 200.016, + "Options": "a ) 281 , b ) 125 , c ) 200 , d ) 266 , e ) 121", + "Correct": "c", + "Explanation": "\"d = 120 * 5 / 18 * 6 = 200 m answer : c\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 16 , c ) 18 , d ) 25 , e ) 10", + "Correct": "a", + "Explanation": "\"solution ratio of times taken by sakshi and tanya = 125 : 100 = 5 : 4 . suppose tanya taken x days to do the work . 5 : 4 : : 5 : x \u21d2 x = ( 5 x 4 / 5 ) \u21d2 x = 4 days . hence , tanya takes 16 days is complete the work . answer a\"" + }, + { + "Answer": 240.00000000000006, + "Options": "a ) 90 min , b ) 100 min , c ) 240 min , d ) 120 min , e ) 130 min", + "Correct": "c", + "Explanation": "1 / 40 - ( 1 / 60 + 1 / 80 ) = - 1 / 240 third pipe can empty in 240 minutes answer : c" + }, + { + "Answer": 39, + "Options": "a ) 39 , b ) 28 , c ) 23 , d ) 12 , e ) 24", + "Correct": "a", + "Explanation": "\"capacity of the tank = ( 13 \u00d7 51 ) litre number of buckets required of capacity of each bucket is 17 litre = 13 \u00d7 51 / 17 = 13 \u00d7 3 = 39 answer is a\"" + }, + { + "Answer": 190, + "Options": "a ) 827 cm 2 , b ) 216 cm 2 , c ) 285 cm 2 , d ) 178 cm 2 , e ) 190 cm 2", + "Correct": "e", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 10 ) = 190 cm 2 answer : e\"" + }, + { + "Answer": 120, + "Options": "a ) 90 , b ) 100 , c ) 110 , d ) 120 , e ) 130", + "Correct": "d", + "Explanation": "we can use d = rt [ distance = rate * time ] train a will have traveled for 40 minutes longer than train b when b overtakes a , so time of train a : t + 40 minutes = t + ( 2 / 3 ) hours ( use hours since the rate is in hours ) time of train b : t rate of train a : 60 mph rate of train b : 80 mph the distances traveled by each will be equal when train b overtakes train a , so we can set the right sides of d = rt equal for the two trains ( rate of train a ) * ( time of train a ) = ( rate of train b ) * ( time of train b ) 60 * ( t + 2 / 3 ) = 80 * t 60 t + 40 = 80 t 40 = 20 t 2 = t 2 hours = 120 minutes d" + }, + { + "Answer": 50, + "Options": "a ) 299 , b ) 277 , c ) 276 , d ) 270 , e ) 50", + "Correct": "e", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec . time = 15 sec . let the length of the train be x meters . then , ( x + 250 ) / 15 = 20 x = 50 m . answer : e\"" + }, + { + "Answer": 230, + "Options": "a ) 278 , b ) 166 , c ) 151 , d ) 230 , e ) 109", + "Correct": "d", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec . time = 26 sec . let the length of the train be x meters . then , ( x + 290 ) / 26 = 20 x = 230 m . answer : d\"" + }, + { + "Answer": 4.5, + "Options": "a ) 4.6 , b ) 4.5 , c ) 4.4 , d ) 4.3 , e ) 4.2", + "Correct": "b", + "Explanation": "55 - - - 5 ds = 11 ? - - - - 1 10 - - - - 5 us = 2 ? - - - - 1 s = ? s = ( 11 - 2 ) / 2 = 4.5 answer : b" + }, + { + "Answer": 19.5, + "Options": "a ) 23 , b ) 22 , c ) 39 / 2 , d ) 36 , e ) 48", + "Correct": "c", + "Explanation": "c 39 / 2 wc = 1 : 2 2 x + x = 1 / 13 = > x = 1 / 39 2 x = 2 / 39 = > 39 / 2 days" + }, + { + "Answer": 11, + "Options": "a ) 10 , b ) 11 , c ) 13 , d ) 18 , e ) 19", + "Correct": "b", + "Explanation": "let the required number of days be x . less persons , more days ( indirect proportion ) more working hours per day , less days ( indirect proportion ) persons 30 : 33 : : 12 : x working hours / day 6 : 5 30 x 6 x x = 33 x 5 x 12 x = ( 33 x 5 x 12 ) / ( 30 x 6 ) x = 11 answer b" + }, + { + "Answer": 0.36, + "Options": "a ) 18 / 50 , b ) 16 / 50 , c ) 17 / 50 , d ) 9 / 25 , e ) none", + "Correct": "d", + "Explanation": "\"answer 0.36 = 36 / 100 = 9 / 25 correct option : d\"" + }, + { + "Answer": 0.3333333333333333, + "Options": "a ) 2 / 3 , b ) 3 / 7 , c ) 4 / 9 , d ) 3 / 8 , e ) 1 / 3", + "Correct": "e", + "Explanation": "\"2 / 3 - - - - 12 ? - - - - - 6 = = > 1 / 3 e\"" + }, + { + "Answer": 69.99440044796417, + "Options": "a ) 40 sec , b ) 50 sec , c ) 60 sec , d ) 70 sec , e ) 80 sec", + "Correct": "d", + "Explanation": "\"the distance to be covered = sum of their lengths = 400 + 300 = 700 m . relative speed = 72 - 36 = 36 kmph = 36 * 5 / 18 = 10 mps . time required = d / s = 700 / 10 = 70 sec . answer : d\"" + }, + { + "Answer": 63, + "Options": "a ) 53 m , b ) 63 m , c ) 73 m , d ) 83 m , e ) 93 m", + "Correct": "b", + "Explanation": "\"let breadth = x metres . then , length = ( x + 26 ) metres . perimeter = 5300 m = 200 m . 26.50 2 [ ( x + 26 ) + x ] = 200 2 x + 26 = 100 2 x = 74 x = 37 hence , length = x + 26 = 63 m b\"" + }, + { + "Answer": 14.820512820512821, + "Options": "['a ) 14.83', 'b ) 14.81', 'c ) 14.8', 'd ) 14.82', 'e ) 14.12']", + "Correct": "d", + "Explanation": "explanation : since 312 inch = 136 km so 1 inch = 136 / 312 km so 34 inch = ( 136 \u00d7 34 ) / 312 = 14.82 km answer : d" + }, + { + "Answer": 45, + "Options": "a ) 45 kmph , b ) 65 kmph , c ) 75 kmph , d ) 85 kmph , e ) 90 kmph", + "Correct": "a", + "Explanation": "\"explanation : s = ( 60 + 30 ) / 2 = 45 kmph a )\"" + }, + { + "Answer": 870, + "Options": "a ) 156 , b ) 167 , c ) 870 , d ) 352 , e ) 380", + "Correct": "c", + "Explanation": "\"the total number of stations = 30 from 30 stations we have to choose any two stations and the direction of travel ( i . e . , hyderabad to bangalore is different from bangalore to hyderabad ) in 3 \u2070 p \u2082 ways . 30 p \u2082 = 30 * 29 = 870 . answer : c\"" + }, + { + "Answer": 8, + "Options": "a ) 10 , b ) 4 , c ) 5 , d ) 8 , e ) 6", + "Correct": "d", + "Explanation": "\"explanation : use formula for a work members \u00e3 \u2014 days = constant 10 \u00e3 \u2014 4 = 5 \u00e3 \u2014 a a = 8 so answer is 8 days answer : d\"" + }, + { + "Answer": 600, + "Options": "a ) 560 , b ) 570 , c ) 580 , d ) 590 , e ) 600", + "Correct": "e", + "Explanation": "\"speed = ( 120 x ( 5 / 18 ) m / sec = ( 100 / 3 ) m / sec . length of the train = ( speed x time ) . length of the train = ( ( 100 / 3 ) x 18 ) m = 600 m e\"" + }, + { + "Answer": 32, + "Options": "a ) 32 kmph , b ) 76 kmph , c ) 34 kmph , d ) 43 kmph , e ) 40 kmph", + "Correct": "a", + "Explanation": "\"s = ( 100 + 300 ) / 45 = 400 / 45 * 18 / 5 = 32 answer : a\"" + }, + { + "Answer": 19800, + "Options": "a ) s . 19,800 , b ) s . 15,600 , c ) s . 16,500 , d ) s . 17,600 , e ) s . 17,900", + "Correct": "a", + "Explanation": "\"area of the floor = ( 5.5 \u00e3 \u2014 4 ) m 2 = 22 m 2 . cost of paving = rs . ( 900 \u00e3 \u2014 22 ) = rs . 19800 answer : option a\"" + }, + { + "Answer": 6.555555555555555, + "Options": "a ) 4.7 kmph , b ) 6.6 kmph , c ) 4 kmph , d ) 7 kmph , e ) 5.3 kmph", + "Correct": "b", + "Explanation": "\"distance covered by a in 30 min = 1 km b covers extra 1 km in 1 hour 48 minutes ( 9 / 5 hr ) i . e . relative speed of b over a = 1 / ( 9 / 5 ) = 5 / 9 so the speed of b = speed of a + 5 / 9 = 6 + 5 / 9 = 6.55 answer b\"" + }, + { + "Answer": 4, + "Options": "a ) 4 th , b ) 5 th , c ) 6 th , d ) 7 th , e ) 8 th", + "Correct": "a", + "Explanation": "2 km / 400 m = 5 . however , the street at the 2 - km mark is not 5 th street ; it is maple street . therefore , the highest numbered street is 4 th street . the answer is a ." + }, + { + "Answer": 4, + "Options": "a ) 5 , b ) 4 , c ) 6 , d ) 7 , e ) 8", + "Correct": "b", + "Explanation": "let 1 man ' s 1 day ' s work = x and 1 women ' s 1 day ' s work = y . then , 6 x + 8 y = 1 and 26 x + 48 y = 1 . 10 2 solving these two equations , we get : x = 1 and y = 1 . 100 200 ( 15 men + 20 women ) ' s 1 day ' s work = 15 + 20 = 1 . 100 200 4 15 men and 20 women can do the work in 4 days . hence answer will be b" + }, + { + "Answer": 4200, + "Options": "a ) 15840 , b ) 3388 , c ) 4200 , d ) 8766 , e ) 66711", + "Correct": "c", + "Explanation": "\"a 2 = 5625 = > a = 75 4 a = 300 300 * 14 = 4200 answer : c\"" + }, + { + "Answer": 237.03703703703704, + "Options": "a ) 5600 , b ) 6000 , c ) 237 , d ) 7200 , e ) 8600", + "Correct": "c", + "Explanation": "\"number of bricks = volume of the wall / volume of 1 brick = ( 100 x 200 x 20 ) / ( 25 x 11.25 x 6 ) = 237 . answer : option c\"" + }, + { + "Answer": 144, + "Options": "a ) 144 hours , b ) 124 hours , c ) 134 hours , d ) 154 hours , e ) 164 hours", + "Correct": "a", + "Explanation": "records last 90 min on each of 2 sides , = = > record last 90 * 2 = 180 min = 3 hours 16 full records - - > 16 * 3 = 48 hour broadcast given , 3 hours to translate 1 hour of broadcast let x be the time required to translate 48 hour broadcast ( 16 full records ) x = 48 * 3 = 144 hours answer : a" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 15 hours , b ) 14 hours , c ) 12 hours , d ) 74 hours , e ) 79 hours", + "Correct": "c", + "Explanation": "\"a ' s 1 hour work = 1 / 4 ; ( b + c ) ' s 1 hour work = 1 / 3 ; ( a + c ) ' s 1 hour work = 1 / 2 ( a + b + c ) ' s 1 hour work = ( 1 / 4 + 1 / 3 ) = 7 / 12 b ' s 1 hour work = ( 7 / 12 + 1 / 2 ) = 1 / 12 b alone will take 12 hours to do the work . answer : c\"" + }, + { + "Answer": 38.99688024958004, + "Options": "a ) 48 , b ) 36 , c ) 26 , d ) 39 , e ) 18", + "Correct": "d", + "Explanation": "\"explanation : here distance d = 650 mts speed s = 63 - 3 = 60 kmph = 60 x 5 / 18 m / s time t = = 39 sec . answer : d\"" + }, + { + "Answer": 6, + "Options": "a ) 1 day , b ) 2 days , c ) 7 days , d ) 6 days , e ) 10 days", + "Correct": "d", + "Explanation": "d 6 days the day after last monday was tuesday . if i came home 3 days before that , i came home on saturday , sunday , monday , tuesday , wednesday , and thursday = 6 days ." + }, + { + "Answer": 12, + "Options": "a ) 2 , b ) 4 , c ) 7 , d ) 12 , e ) 15", + "Correct": "d", + "Explanation": "\"sol . speed in still water = 1 / 2 ( 19 + 5 ) kmph = 12 kmph . answer d\"" + }, + { + "Answer": 2, + "Options": "a ) 6 kmph , b ) 5 kmph , c ) 2 kmph , d ) 3 kmph , e ) 4 kmph", + "Correct": "c", + "Explanation": "speed upstream = 49 / 7 = 7 kmph speed down stream = 77 / 7 = 11 kmph speed of stream = \u00bd ( 11 - 7 ) = 2 kmph answer : c" + }, + { + "Answer": 10, + "Options": "a ) 10 . , b ) 4 . , c ) 5 . , d ) 6 , e ) 8 .", + "Correct": "a", + "Explanation": "\"total work = 20 * 6 = 120 beaver hours 12 beaver * x = 120 beaver hours x = 120 / 12 = 10 answer : a\"" + }, + { + "Answer": 41.42857142857143, + "Options": "a ) 41.4 , b ) 34.1 , c ) 13.4 , d ) 12.4 , e ) 10.8", + "Correct": "a", + "Explanation": "\"break down the problem into two pieces : typing and editing . mary needs 30 hours to type the report - - > mary ' s typing rate = 1 / 30 ( rate reciprocal of time ) ( point 1 in theory below ) ; mary and jim can type up a report in 12.5 and - - > 1 / 30 + 1 / x = 1 / 12.5 = 2 / 25 ( where x is the time needed for jim to type the report alone ) ( point 23 in theory below ) - - > x = 150 / 7 ; jim needs 12 hours to edit the report - - > jim ' s editing rate = 1 / 12 ; mary and jim can edit a report in 7.5 and - - > 1 / y + 1 / 12 = 1 / 7.5 = 2 / 15 ( where y is the time needed for mary to edit the report alone ) - - > y = 20 ; how many t hours will it take if jim types the report and mary edits it immediately after he is done - - > x + y = 150 / 7 + 20 = ~ 41.4 answer : a .\"" + }, + { + "Answer": 2, + "Options": "a ) a ) 2 , b ) b ) 5 , c ) c ) 7 , d ) d ) 5 , e ) e ) 8", + "Correct": "a", + "Explanation": "\"explanation : | - - - - - - - - - - - 20 - - - - - - - - - - - - - - - - - - - - | 60 50 d = 20 rs = 60 \u2013 50 = 10 t = 20 / 10 = 2 hours answer : option a\"" + }, + { + "Answer": 260.03999999999996, + "Options": "a ) 260 , b ) 250 , c ) 240 , d ) 230 , e ) 220", + "Correct": "a", + "Explanation": "\"relative speed = 120 + 80 = 200 km / hr . = 200 * 5 / 18 = 500 / 9 m / sec . let the length of the other train be x m . then , ( x + 240 ) / 9 = 500 / 9 = > x = 260 . answer : option a\"" + }, + { + "Answer": 24, + "Options": "a ) 10 , b ) 24 , c ) 60 , d ) 30 , e ) 20", + "Correct": "b", + "Explanation": "a + b 10 days work = 10 * 1 / 40 = 1 / 4 remaining work = 1 - 1 / 4 = 3 / 4 3 / 4 work is done by a in 18 days whole work will be done by a in 18 * 4 / 3 = 24 days answer is b" + }, + { + "Answer": 870, + "Options": "a ) 800 , b ) 820 , c ) 850 , d ) 870 , e ) 900", + "Correct": "d", + "Explanation": "\"the total number of stations = 30 from 30 stations we have to choose any two stations and the direction of travel ( ernakulam to chennai is different from chennai to ernakulam ) in 30 p 2 ways . 30 p 2 = 30 * 29 = 870 answer : d\"" + }, + { + "Answer": 195, + "Options": "a ) 876 m , b ) 157 m , c ) 195 m , d ) 156 m , e ) 167 m", + "Correct": "c", + "Explanation": "\"speed = [ 45 x 5 / 18 ] m / sec = [ 25 / 2 ] m / sec time = 30 sec let the length of bridge be x metres . then , ( 180 + x ) / 30 = 25 / 2 = > 2 ( 180 + x ) = 750 = > x = 195 m . answer : c\"" + }, + { + "Answer": 1385.442360233099, + "Options": "a ) 1386 , b ) 2799 , c ) 2890 , d ) 1485 , e ) 2780", + "Correct": "a", + "Explanation": "\"22 / 7 * 14 * 3 / 2 * 3 / 2 = 99 m 2 99 * 14 = 1386 answer : a\"" + }, + { + "Answer": 15, + "Options": "a ) 10 days , b ) 11 days , c ) 13 days , d ) 15 days , e ) 17 days", + "Correct": "d", + "Explanation": "\"8 men = 12 women ( i . e 2 men = 3 women ) 12 women 1 day work = 1 / 25 soln : 6 men ( 9 women ) + 11 women = 20 women = ? 1 women 1 day work = 12 * 25 = 1 / 300 so , 20 women work = 20 / 300 = 1 / 15 ans : 15 days answer : d\"" + }, + { + "Answer": 78.993280537557, + "Options": "a ) 45 kmph , b ) 50 kmph , c ) 55 kmph , d ) 60 kmph , e ) 79 kmph", + "Correct": "e", + "Explanation": "\"explanation : let the speed of the train be x kmph . speed of the train relative to man = ( x + 5 ) kmph = ( x + 5 ) \u00d7 5 / 18 m / sec . therefore 140 / ( ( x + 5 ) \u00d7 5 / 18 ) = 6 < = > 30 ( x + 5 ) = 2520 < = > x = 79 speed of the train is 79 kmph . answer : option e\"" + }, + { + "Answer": 10.009099181073703, + "Options": "a ) a ) 15 , b ) b ) 10 , c ) c ) 14 , d ) d ) 12 , e ) e ) 11", + "Correct": "b", + "Explanation": "\"2 * 22 / 7 * 14 * x = 880 = > x = 10 answer : b\"" + }, + { + "Answer": 21.44680851063829, + "Options": "a ) 14.1 days , b ) 18.8 days , c ) 21.4 days , d ) 24.3 days , e ) 26.5 days", + "Correct": "c", + "Explanation": "\"2 c = 1 / 8 + 1 / 9 \u2013 1 / 7 = 47 / 504 c = 47 / 1008 = > 1008 / 47 = 21.4 days the answer is c .\"" + }, + { + "Answer": 245, + "Options": "a ) 105 , b ) 140 , c ) 175 , d ) 210 , e ) 245", + "Correct": "e", + "Explanation": "\"in 36 minutes , car x travels 21 miles . car y gains 3 miles each hour , so it takes 7 hours to catch car x . in 7 hours , car x travels 245 miles . the answer is e .\"" + }, + { + "Answer": 90, + "Options": "a ) 95 minutes , b ) 90 minutes , c ) 88 minutes , d ) 95 minutes , e ) none of these", + "Correct": "b", + "Explanation": "explanation : let us consider that speed of train , first man and second man are respectively t , f and s . according to first given condition goods train crossed the first person moving in same direction in 20 sec . so length of the will be 20 ( t - f ) similarly train crossed the second man in 18 sec . so length of the train will be 18 ( t + s ) on comparing these two equations , we get 20 ( t - f ) = 18 ( t + s ) = > 2 t = 20 f + 18 s = > t = 10 f + 9 s now it is given that after 10 min the train crossed the other person who is coming in opposite direction . so , if we consider this way of train as l then the next equation will be l = 600 t ( here 600 is used for 10 minutes ) finally as asked in the question the time required to meet the two man after the train has passed will be given by time = ( l - 600 f ) / ( f + s ) { here 600 f is used for the distance traveled by first man in 10 minutes } = > = ( 600 t - 600 f ) / ( f + s ) = > = [ 600 ( 10 f + 9 s ) - 600 f ] / ( f + s ) = > = 600 ( 10 f + 9 s - f ) / ( f + s ) = 600 * 9 ( f + s ) / ( f + s ) = > = 600 * 9 seconds = > = 600 * 9 / 60 min = > = 90 minutes hence ( b ) is the correct answer . answer : b" + }, + { + "Answer": 38, + "Options": "a ) 38 kg , b ) 25.6 kg , c ) 28 kg , d ) 26.5 kg , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : let the required weight be x kg . then , less length , less weight ( direct proportion ) = > 11.25 : 10 : : 42.75 : x = > 11.25 x x = 10 x 42.75 = > x = ( 10 x 42.75 ) / 11.25 = > x = 38 answer : a\"" + }, + { + "Answer": 16, + "Options": "a ) 10 days , b ) 12 days , c ) 15 days , d ) 16 days , e ) 20 days", + "Correct": "d", + "Explanation": "explanation : 1 work done = 8 \u00d7 20 1 man = 3 / 2 boys 1 boy = 2 / 3 men then , 9 boys = 9 \u00d7 2 / 3 men = 6 men then , 4 men + 9 boys = 10 men then , 8 \u00d7 20 = 10 \u00d7 ? days ? days = 8 \u00d7 20 / 10 = 16 days . answer : option d" + }, + { + "Answer": 44, + "Options": "a ) 20 seconds , b ) 44 seconds , c ) 40 seconds , d ) 50 seconds , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 410 + 140 = 550 meter time = distance / speed = 550 \u2217 2 / 25 = 44 seconds option b\"" + }, + { + "Answer": 93.6, + "Options": "a ) 88 kmph , b ) 94 kmph , c ) 72 kmph , d ) 16 kmph , e ) 18 kmph", + "Correct": "b", + "Explanation": "\"length = speed * time speed = l / t s = 520 / 20 s = 26 m / sec speed = 26 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 94 kmph answer : b\"" + }, + { + "Answer": 20, + "Options": "a ) 12 , b ) 15 , c ) 18 , d ) 20 , e ) 25", + "Correct": "d", + "Explanation": "\"this is a very specific format that has appeared in a handful of real gmat questions , and you may wish to learn to recognize it : here we have a * fixed * distance , and we are given the difference between the times and speeds of two things that have traveled that distance . this is one of the very small number of question formats where backsolving is typically easier than solving directly , since the direct approach normally produces a quadratic equation . say team q ' s speed was s . then team q ' s time is 300 / s . team a ' s speed was then s + 5 , and team a ' s time was then 300 / ( s + 5 ) . we need to find an answer choice for s so that the time of team a is 3 less than the time of team q . that is , we need an answer choice so that 300 / ( s + 5 ) = ( 300 / s ) - 3 . you can now immediately use number properties to zero in on promising answer choices : the times in these questions will always work out to be integers , and we need to divide 300 by s , and by s + 5 . so we want an answer choice s which is a factor of 300 , and for which s + 5 is also a factor of 300 . so you can rule out answers a and c immediately , since s + 5 wo n ' t be a divisor of 300 in those cases ( sometimes using number properties you get to the correct answer without doing any other work , but unfortunately that ' s not the case here ) . testing the other answer choices , if you try answer d , you find the time for team q is 15 hours , and for team a is 12 hours , and since these differ by 3 , as desired , d is correct .\"" + }, + { + "Answer": 40, + "Options": "a ) 50 , b ) 20 , c ) 30 , d ) 10 , e ) 40", + "Correct": "e", + "Explanation": "\"men required to finish the work in 10 days = 20 * 20 / 10 = 40 answer is e\"" + }, + { + "Answer": 11.999999999999998, + "Options": "a ) 10 , b ) 12 , c ) 20 , d ) 30 , e ) 15", + "Correct": "b", + "Explanation": "\"x ' s 1 day ' s work = 1 / 20 y ' s 1 day ' s work = 1 / 30 ( x + y ) ' s 1 day ' s work = ( 1 / 20 + 1 / 30 ) = 1 / 12 both together will finish the work in 12 days . correct option is b\"" + }, + { + "Answer": 1.2, + "Options": "a ) 14 / 15 , b ) 15 / 14 , c ) 4 / 5 , d ) 6 / 5 , e ) can not be determined", + "Correct": "d", + "Explanation": "average speed of jack = distance / time = 42 / ( 7 / 2 ) = 84 / 7 average speed of jill = 42 / ( 4.2 ) = 10 ratio of average speed of jack to jill = ( 84 / 7 ) / 10 = 84 / 70 = 6 / 5 answer d" + }, + { + "Answer": 40, + "Options": "a ) 60 m , b ) 20 m , c ) 40 m , d ) 20 m , e ) 23 m", + "Correct": "c", + "Explanation": "\"to reach the winning post a will have to cover a distance of ( 500 - 155 ) m , i . e . , 345 m . while a covers 3 m , b covers 4 m . while a covers 345 m , b covers 4 x 345 / 3 m = 460 m . thus , when a reaches the winning post , b covers 460 m and therefore remains 40 m behind . a wins by 40 m . answer : c\"" + }, + { + "Answer": 75, + "Options": "a ) 75 , b ) 100 , c ) 125 , d ) 150 , e ) 175", + "Correct": "a", + "Explanation": "let x be the total length of the trip . 0.1 x + 30 miles + 0.5 x = x 30 miles = 0.4 x x = 75 miles the answer is a ." + }, + { + "Answer": 18, + "Options": "a ) 15 days , b ) 16 days , c ) 19 days , d ) 17 days , e ) 18 days", + "Correct": "e", + "Explanation": "\"lcm = 90 , ratio = 30 : 45 = 2 : 3 no of days = 90 / ( 2 + 3 ) = 90 / 5 = 18 days answer : e\"" + }, + { + "Answer": 7, + "Options": "a ) 6 hours , b ) 5 hours , c ) 7 hours , d ) 8 hours , e ) none", + "Correct": "c", + "Explanation": "\"explanation : speed of the truck = distance / time = 288 / 8 = 36 kmph now , speed of car = ( speed of truck + 18 ) kmph = ( 36 + 18 ) = 54 kmph distance travelled by car = 288 + 90 = 378 km time taken by car = distance / speed = 378 / 54 = 7 hours . answer \u2013 c\"" + }, + { + "Answer": 75, + "Options": "a ) 75 , b ) 30 , c ) 28 , d ) 24 , e ) 32", + "Correct": "a", + "Explanation": "\"number of workers = 10 * ( 85 - 10 ) / 10 = 75 answer is a\"" + }, + { + "Answer": 75, + "Options": "a ) 66 , b ) 69 , c ) 72 , d ) 75 , e ) 78", + "Correct": "d", + "Explanation": "if the two trains cover a total distance d , then train x travels ( 3 / 7 ) * d while train y travels ( 4 / 7 ) * d . if the trains travel 175 km to the meeting point , then train x travels ( 3 / 7 ) * 175 = 75 km . the answer is d ." + }, + { + "Answer": 40, + "Options": "a ) 10 days , b ) 30 days , c ) 20 days , d ) 80 days , e ) 40 days", + "Correct": "e", + "Explanation": "\"e 40 days given that 12 m = 20 w = > 3 m = 5 w 9 men + 12 women = 15 women + 12 women = 27 women 20 women can do the work in 54 days . so , 27 women can do it in ( 20 * 54 ) / 27 = 40 days .\"" + }, + { + "Answer": 36.92307692307692, + "Options": "a ) 35.62 mph , b ) 25.45 mph , c ) 34.52 mph , d ) 36.92 mph , e ) 36.29 mph", + "Correct": "d", + "Explanation": "avg speed = total distance / total time = ( d 1 + d 2 ) / ( t 1 + t 2 ) = ( 15 + 45 ) / ( ( 15 / 24 ) + ( 45 / 45 ) ) = 60 * 2 / 3 = 36.92 mph d" + }, + { + "Answer": 500.00000000000006, + "Options": "a ) 500 m , b ) 620 m , c ) 872 m , d ) 150 m , e ) 765 m", + "Correct": "a", + "Explanation": "\"speed = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec length of the train = ( speed x time ) = ( 50 / 3 * 30 ) m = 500 m . answer : a\"" + }, + { + "Answer": 40, + "Options": "a ) 35 , b ) 46 , c ) 42 , d ) 30 , e ) 40", + "Correct": "e", + "Explanation": "\"let the number of correct answers be x . number of incorrect answers = ( 80 \u00e2 \u20ac \u201c x ) . 4 x \u00e2 \u20ac \u201c 1 ( 80 \u00e2 \u20ac \u201c x ) = 120 or 5 x = 200 or x = 40 . answer : e\"" + }, + { + "Answer": 500, + "Options": "a ) 500 , b ) 1000 , c ) 1500 , d ) 3000 , e ) 2000", + "Correct": "a", + "Explanation": "\"500 - - - - 20 500 - - - - 6 x - - - - - 3 x * 3 = 500 * 6 x = 1000 500 - - - - - - - 500 answer : a\"" + }, + { + "Answer": 54.995600351971845, + "Options": "a ) 55 sec , b ) 40 sec , c ) 45 sec , d ) 30 sec , e ) 35 sec", + "Correct": "a", + "Explanation": "\"t = ( 660 + 165 ) / 54 * 18 / 5 t = 55 answer a\"" + }, + { + "Answer": 9, + "Options": "a ) 5 kmph , b ) 6 kmph , c ) 6.25 kmph , d ) 7.5 kmph , e ) 9 kmph", + "Correct": "e", + "Explanation": "\"let abhay ' s speed be x km / hr . then , 54 / x - 54 / 2 x = 3 6 x = 54 x = 9 km / hr . answer : option e\"" + }, + { + "Answer": 16.426666666666662, + "Options": "a ) 15.27 , b ) 16.27 , c ) 17.27 , d ) 16.41 , e ) 19.27", + "Correct": "d", + "Explanation": "area of circle is pi * r ^ 2 but in 10 minutes area covered is ( 10 / 60 ) * 360 = 60 degree so formula is pi * r ^ 2 * ( angle / 360 ) = 3.14 * ( 5.6 ^ 2 ) * ( 60 / 360 ) = 16.41 cm ^ 2 answer : d" + }, + { + "Answer": 75, + "Options": "a ) 45 , b ) 55 , c ) 65 , d ) 75 , e ) 85", + "Correct": "d", + "Explanation": "area of the wet surface = [ 2 ( lb + bh + lh ) - lb ] = 2 ( bh + lh ) + lb = [ 2 ( 4 x 1.25 + 10 x 1.25 ) + 10 x 4 ] = 75 the answer is d ." + }, + { + "Answer": 119.99040076793857, + "Options": "a ) 100 , b ) 120 , c ) 140 , d ) 160 , e ) 180", + "Correct": "b", + "Explanation": "18 km / hr = 18000 m / 3600 s = 5 m / s time = 600 / 5 = 120 seconds the answer is b ." + }, + { + "Answer": 5.485714285714286, + "Options": "a ) 9.48 days , b ) 3.48 days , c ) 7.48 days , d ) 5.48 days , e ) 6.48 days", + "Correct": "d", + "Explanation": "\"the length of wall painted by one boy in one day = 70 / 6 * 1 / 8 = 1.46 m no . of days required to paint 50 m cloth by 8 boys = 80 / 10 * 1 / 1.46 = 5.48 days . d\"" + }, + { + "Answer": 16, + "Options": "a ) 15 hrs , b ) 18 hrs , c ) 19 hrs , d ) 17 hrs , e ) 16 hrs", + "Correct": "e", + "Explanation": "\"if monkey hops 3 ft and slips back 2 ft in a hour , it means the monkey hops ( 3 ft - 2 ft ) = 1 ft / hr . similarly in 15 hrs it wil be 15 ft . bt since the height of the tree is 18 ft , so if the monkey hops up the tree in the next hr i . e 16 th hr then it reaches at the top of the tree . hence it takes 16 hrs for monkey to reach at the top answer : e\"" + }, + { + "Answer": 14, + "Options": "a ) 14 days , b ) 15 days , c ) 16 days , d ) 18 days , e ) 20 days", + "Correct": "a", + "Explanation": "\"let us assume that the work is laying 40 bricks . jane = 5 bricks per day ashley = 1 brick per day together = 6 bricks per day let ' s say first 8 days ashley works alone , no of bricks = 8 last 4 days jane works alone , no . of bricks = 20 remaining bricks = 40 - 28 = 12 so together , they would take 12 / 6 = 2 total no . of days = 8 + 4 + 2 = 14 answer is a\"" + }, + { + "Answer": 15, + "Options": "a ) 23 sec , b ) 15 sec , c ) 12 sec , d ) 11 sec , e ) 15 sec", + "Correct": "e", + "Explanation": "e 15 sec speed of the bullet train relative to man = ( 30 + 6 ) kmph = 36 * 5 / 18 m / sec = 30 / 3 m / sec . time taken by the bullet train to cross the man = time taken by it to cover 150 m at ( 30 / 3 ) m / sec = ( 150 * 3 / 30 ) sec = 15 sec" + }, + { + "Answer": 20, + "Options": "a ) $ 15 , b ) $ 18 , c ) $ 20 , d ) $ 22 , e ) $ 25", + "Correct": "c", + "Explanation": "let x be the daily wage before the increase . 1.5 x = $ 30 x = $ 20 the answer is c ." + }, + { + "Answer": 6.7, + "Options": "a ) 6.7 kg . , b ) 10.8 kg . , c ) 12.4 kg . , d ) 18.0 kg , e ) none", + "Correct": "a", + "Explanation": "\"answer \u2235 weight of 12 m long rod = 13.4 kg \u2234 weight of 1 m long rod = 13.4 / 12 kg \u2234 weight of 6 m long rod = 13.4 x 6 / 12 = 6.7 kg option : a\"" + }, + { + "Answer": 24, + "Options": "a ) 13 seconds , b ) 17 seconds , c ) 24 seconds , d ) 34 seconds , e ) 51 seconds", + "Correct": "c", + "Explanation": "\"let t be the time that john spent for his final push . thus , per the question , 4.2 t = 3.7 t + 10 + 2 - - - > 0.5 t = 12 - - - > t = 24 seconds . c is the correct answer .\"" + }, + { + "Answer": 164.99999999999997, + "Options": "a ) 35 \u00b0 , b ) 65 \u00b0 , c ) 45 \u00b0 , d ) 165 \u00b0 , e ) 95 \u00b0", + "Correct": "d", + "Explanation": "angle between hands of a clock when the minute hand is behind the hour hand , the angle between the two hands at m minutes past h ' o clock = 30 ( h \u2212 m / 5 ) + m / 2 degree when the minute hand is ahead of the hour hand , the angle between the two hands at m minutes past h ' o clock = 30 ( m / 5 \u2212 h ) \u2212 m / 2 degree here h = 11 , m = 30 and minute hand is behind the hour hand . hence the angle = 30 ( h \u2212 m / 5 ) + m / 2 = 30 ( 11 \u2212 30 / 5 ) + 30 / 2 = 30 ( 11 \u2212 6 ) + 15 = 30 \u00d7 5 + 15 = 165 \u00b0 answer is d ." + }, + { + "Answer": 30.002399999999998, + "Options": "a ) 10.8 , b ) 18 , c ) 30 , d ) 38.8 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : 108 kmph = ( 108 x 5 / 18 ) m / sec = 30 m / s . answer : c\"" + }, + { + "Answer": 90, + "Options": "a ) 90 , b ) 25 , c ) 37 , d ) 41 , e ) 30", + "Correct": "a", + "Explanation": "\"work done by mahesh in 30 days = 20 * 1 / 30 = 2 / 3 remaining work = 1 - 2 / 3 = 1 / 3 1 / 3 work is done by rajesh in 30 days whole work will be done by rajesh is 30 * 3 = 90 days answer is a\"" + }, + { + "Answer": 240, + "Options": "a ) 240 meters , b ) 360 meters , c ) 420 meters , d ) 600 meters , e ) can not be determined", + "Correct": "a", + "Explanation": "\"explanation : length of the platform = speed of train * extra time taken to cross the platform . length of platform = 72 kmph * 12 seconds convert 72 kmph into m / sec 1 kmph = 518518 m / s ( this can be easily derived . but if you can remember this conversion , it saves a good 30 seconds ) . \u2234 72 kmph = 518 \u2217 72518 \u2217 72 = 20 m / sec therefore , length of the platform = 20 m / s * 12 sec = 240 meters . correct answer : a\"" + }, + { + "Answer": 10, + "Options": "a ) 10 , b ) 15 , c ) 20 , d ) 5 , e ) 30", + "Correct": "a", + "Explanation": "\"a + b 5 days work = 5 * 1 / 10 = 1 / 2 remaining work = 1 - 1 / 2 = 1 / 2 1 / 2 work is done by a in 5 days whole work will be done by a in 5 * 2 = 10 days answer is a\"" + }, + { + "Answer": 2160, + "Options": "a ) rs 840 , b ) rs 1320 , c ) rs 1620 , d ) rs 2160 , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : ( men 4 : 9 ) : ( hrs / day 10 : 6 ) : : 1600 : x hence 4 * 10 * x = 9 * 6 * 1600 or x = 9 * 6 * 1600 / 4 * 10 = 2160 answer : d\"" + }, + { + "Answer": 24, + "Options": "a ) 16 days . , b ) 17 days . , c ) 18 days . , d ) 19 days . , e ) 24 days .", + "Correct": "e", + "Explanation": "\"they together completed 4 / 10 work in 4 days . balance 6 / 10 work will be completed by arun alone in 40 * 6 / 10 = 24 days . answer : e\"" + }, + { + "Answer": 12, + "Options": "a ) 11.5 , b ) 12.5 , c ) 10.5 , d ) 11 , e ) 12", + "Correct": "e", + "Explanation": "\"800 * 15 = 1000 * x x = 12 answer : e\"" + }, + { + "Answer": 11.538461538461538, + "Options": "a ) 11.5 , b ) 12.5 , c ) 12.6 , d ) 12.2 , e ) 12.1", + "Correct": "a", + "Explanation": "\"1000 * 15 = 1300 * x x = 11.5 answer : a\"" + }, + { + "Answer": 99, + "Options": "a ) 60 kmph , b ) 66 kmph , c ) 72 kmph , d ) 99 kmph , e ) 89 kmph", + "Correct": "d", + "Explanation": "given that two trains are of same length i . e . . 150 mtrs first train passes the km stone in 15 seconds . here we have time and distance so speed = 150 / 15 = 10 m / s we need to find out the second train speed . suppose the speed of the 2 nd train is x m / s relative speed of two trains is ( 10 + x ) = = > ( 150 + 150 ) / ( 10 + x ) = 8 = = > ( 300 ) / ( 10 + x ) = 8 = = > 300 = 80 + 8 x = = > 300 - 80 = 8 x = = > 220 = 8 x : - x = 55 / 2 m / s convert m / s into km / ph ( 55 / 2 ) * ( 18 / 5 ) = 99 kmph answer : d" + }, + { + "Answer": 59.999999999999964, + "Options": "a ) 20 , b ) 22 , c ) 25 , d ) 27 , e ) 60", + "Correct": "e", + "Explanation": "\"work done by p and q in 1 day = 1 / 10 work done by r in 1 day = 1 / 15 work done by p , q and r in 1 day = 1 / 10 + 1 / 15 = 1 / 6 but work done by p in 1 day = work done by q and r in 1 day . hence the above equation can be written as work done by p in 1 day \u00e3 \u2014 2 = 1 / 6 = > work done by p in 1 day = 1 / 12 = > work done by q and r in 1 day = 1 / 12 hence work done by q in 1 day = 1 / 12 \u00e2 \u20ac \u201c 1 / 15 = 1 / 60 so q alone can do the work in 60 days answer is e .\"" + }, + { + "Answer": 6, + "Options": "a ) 4.5 km , b ) 5.5 km , c ) 6 km , d ) 7 km , e ) none", + "Correct": "c", + "Explanation": "\"sol . average speed = [ 2 * 3 * 2 / 3 + 2 ] km / hr = 12 / 5 km / hr . distance travelled = [ 12 / 5 * 5 ] km = 12 km . \u2234 distance between house and school = [ 12 / 2 ] km = 6 km . answer c\"" + }, + { + "Answer": 4.25, + "Options": "a ) 4.25 hr , b ) 5.25 hr , c ) 8.25 hr , d ) 2.25 hr , e ) 2.50 hr", + "Correct": "a", + "Explanation": "\"speed of boat in still water = 12 km / hr speed of the stream = 4 km / hr speed downstream = ( 12 + 4 ) = 16 km / hr time taken to travel 68 km downstream = 68 \u2044 16 = 17 \u2044 4 = 4.25 hours answer is a\"" + }, + { + "Answer": 0.08333333333333326, + "Options": "a ) 7 / 12 , b ) 5 / 12 , c ) 1 / 12 , d ) 3 / 12 , e ) 1 / 2", + "Correct": "c", + "Explanation": "\"explanation : amount of work p can do in 1 day = 1 / 10 amount of work q can do in 1 day = 1 / 12 amount of work p and q can do in 1 day = 1 / 10 + 1 / 12 = 11 / 60 amount of work p and q can together do in 5 days = 5 \u00d7 ( 11 / 60 ) = 11 / 12 fraction of work left = 1 \u2013 11 / 12 = 1 / 12 answer : option c\"" + }, + { + "Answer": 10, + "Options": "a ) 20 hr , b ) 10 hr , c ) 5 hr , d ) 4 hr , e ) 15 hr", + "Correct": "b", + "Explanation": "\"net part filled in 1 hour 1 / 5 - 1 / 10 = 1 / 10 the cistern will be filled in 10 hr answer is b\"" + }, + { + "Answer": 13, + "Options": "a ) $ 11.5 . , b ) $ 12 . , c ) $ 13 . , d ) $ 14.5 , e ) $ 15 .", + "Correct": "c", + "Explanation": "charges for 7 hours = ( first hour @ $ 0.50 ) + ( 3 hours @ $ 3 ) + ( 3.5 hours @ $ 1 ) charges for 7 hours = ( 1 @ $ 0.50 ) + ( 3 hours @ $ 3 ) + ( 3.5 hours @ $ 1 ) charges for 7 hours = ( $ 0.50 ) + ( $ 9 ) + ( $ 3.5 ) charges for 7 hours = ( $ 0.50 ) + ( $ 9 ) + ( $ 3.50 ) charges for 7 hours = $ 13 hence correct answer must be ( c )" + }, + { + "Answer": 11, + "Options": "a ) 10 am , b ) 12 am , c ) 10.30 am , d ) 12.30 am , e ) 11 am", + "Correct": "e", + "Explanation": "\"assume both trains meet after x hours after 7 am distance covered by train starting from p in x hours = 20 x km distance covered by train starting from q in ( x - 1 ) hours = 25 ( x - 1 ) total distance = 155 = > 20 x + 25 ( x - 1 ) = 155 = > 45 x = 180 = > x = 4 means , they meet after 3 hours after 7 am , ie , they meet at 11 am answer is e .\"" + }, + { + "Answer": 24, + "Options": "a ) 12 , b ) 42 , c ) 24 , d ) 28 , e ) 26", + "Correct": "c", + "Explanation": "original number of sections = 16 - 3 = 13 original number of students = 24 x 13 = 312 present number of students = 21 x 16 = 336 number of new students admitted = 336 - 312 = 24 so the answer is option c ) 24 ." + }, + { + "Answer": 13.198944084473244, + "Options": "a ) 15.8 sec , b ) 13.2 sec , c ) 12.4 sec , d ) 16.8 sec , e ) 11.8 sec", + "Correct": "b", + "Explanation": "\"b 13.2 sec d = 100 + 120 = 220 m s = 60 * 5 / 18 = 50 / 3 t = 220 * 3 / 50 = 13.2 sec answer is b\"" + }, + { + "Answer": 2.4000000000000004, + "Options": "a ) 8 / 15 , b ) 4 / 3 , c ) 12 / 5 , d ) 9 / 4 , e ) 15 / 4", + "Correct": "c", + "Explanation": "\"( 1 / 2 + 1 / 3 ) t = 2 t = 12 / 5 answer : c\"" + }, + { + "Answer": 300, + "Options": "a ) 90 m , b ) 30 m , c ) 120 m , d ) 300 m , e ) 190 m", + "Correct": "d", + "Explanation": "\"a takes time 1.20 minutes = 80 sec b takes time 1.30 minutes = 90 sec diffrence = 90 - 80 = 10 sec now we are to find distance covered in 10 sec by b 90 sec = 30 m 1 sec = 30 m 10 sec = 10 x 30 = 300 m answer : d\"" + }, + { + "Answer": 19.19846412287017, + "Options": "a ) 16.5 , b ) 19.2 , c ) 16.4 , d ) 16.8 , e ) 16.1", + "Correct": "b", + "Explanation": "\"d = 150 + 170 = 320 m s = 60 * 5 / 18 = 50 / 3 t = 320 * 3 / 50 = 19.2 sec answer : b\"" + }, + { + "Answer": 300, + "Options": "a ) $ 100 , b ) $ 150 , c ) $ 300 , d ) $ 250 , e ) $ 350", + "Correct": "c", + "Explanation": "c ' s 1 day work = ( 1 / 3 ) - ( 1 / 6 + 1 / 8 ) = 1 / 24 a : b : c = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 a ' s share = 600 * 4 / 8 = $ 300 answer is c" + }, + { + "Answer": 250.03999999999996, + "Options": "a ) 230 m , b ) 240 m , c ) 250 m , d ) 260 m , e ) 270 m", + "Correct": "c", + "Explanation": "\"speed = ( 120 + 80 ) km / h ( because direction is opposite hence relative velocity is added ) = 500 / 9 m / s time = 9 sec let the lenght of second train is x total distance covered = 250 + x therefore , d = speed * time thus 250 + x = 500 / 9 * 9 x = 500 - 250 = 250 m answer : c\"" + }, + { + "Answer": 720, + "Options": "a ) 269 , b ) 512 , c ) 369 , d ) 720 , e ) 450", + "Correct": "d", + "Explanation": "12 men 120 acres 16 days 36 men ? 32 days 120 * 36 / 12 * 32 / 16 120 * 3 * 2 120 * 6 = 720 answer : d" + }, + { + "Answer": 34, + "Options": "a ) 86 , b ) 34 , c ) 30 , d ) 15 , e ) 17", + "Correct": "b", + "Explanation": "\"us = 25 ds = 43 m = ( 43 + 25 ) / 2 = 34 answer : b\"" + }, + { + "Answer": 7200, + "Options": "a ) 3573 , b ) 3455 , c ) 8600 , d ) 7000 , e ) 7200", + "Correct": "e", + "Explanation": "length of the courtyard = 75 m breadth of the courtyard = 32 m perimeter of the courtyard = 2 ( 75 + 32 ) m = 2 \u00d7 107 m = 214 m distance covered by the boy in taking 4 rounds = 4 \u00d7 perimeter of courtyard = 4 \u00d7 214 = 856 m we know that area of the courtyard = length \u00d7 breadth = 75 \u00d7 32 m 2 = 2400 m 2 for 1 m 2 , the cost of levelling = $ 3 for 2400 m 2 , the cost of levelling = $ 3 \u00d7 2400 = $ 7200 answer : e" + }, + { + "Answer": 72, + "Options": "a ) 72 days , b ) 20 days , c ) 24 days , d ) 36 days , e ) 34 days", + "Correct": "a", + "Explanation": "explanation : ( man + boy ) \u2019 s 1 day \u2019 s work = 1 / 24 their 20 day \u2019 s work = 1 / 24 \u00d7 20 = 5 / 6 the remaining 1 / 6 work is done by the man in 6 days therefore , the man alone will finish the work in 6 \u00d7 6 days = 36 days man \u2019 s 1 day \u2019 s work = 1 / 36 therefore , boy \u2019 s 1 day \u2019 s work = 1 / 24 \u2013 1 / 36 = 3 \u2013 2 / 72 = 1 / 72 therefore , the boy alone will finish the work in 72 days . answer : option a" + }, + { + "Answer": 115.38461538461539, + "Options": "a ) 114 , b ) 115 , c ) 116 , d ) 117 , e ) 118", + "Correct": "b", + "Explanation": "\"let the required number of seconds be x more cloth , more time , ( direct proportion ) hence we can write as ( cloth ) 0.13 : 15 : : 1 : x = > 0.13 * x = 15 = > x = 15 / 0.13 = > x = 115 answer : b\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 6 , c ) 8 , d ) 9 , e ) 12", + "Correct": "a", + "Explanation": "the choices give away the answer . . 36 machines take 4 hours to fill 8 standard orders . . in next eq we aredoubling the machines from 36 to 72 , but thework is not doubling ( only 1 1 / 2 times ) , = 4 * 48 / 72 * 12 / 6 = 4 ans a" + }, + { + "Answer": 250, + "Options": "a ) 100 m , b ) 150 m , c ) 180 m , d ) 200 m , e ) 250 m", + "Correct": "e", + "Explanation": "\"speed = 90 kmph = 90 * 5 / 18 = 25 m / s distance covered in 10 sec = 25 * 10 = 250 m answer is e\"" + }, + { + "Answer": 16, + "Options": "a ) 10 , b ) 16 , c ) 13 , d ) 18 , e ) 19", + "Correct": "b", + "Explanation": "\"let the required number of days be x . less persons , more days ( indirect proportion ) more working hours per day , less days ( indirect proportion ) persons 30 : 48 : : 12 : x working hours / day 6 : 5 30 x 6 x x = 48 x 5 x 12 x = ( 48 x 5 x 12 ) / ( 30 x 6 ) x = 16 answer b\"" + }, + { + "Answer": 12, + "Options": "a ) 3 , b ) 4.5 , c ) 4 , d ) d ) 12 , e ) e ) 5", + "Correct": "d", + "Explanation": "the table you made does n ' t make sense to me . all three meet at the same point means the distance they cover is the same . we know their rates are 30 , 40 and 60 . say the time taken by b is t hrs . then a takes 6 + t hrs . and we need to find the time taken by k . distance covered by a = distance covered by b 30 * ( 6 + t ) = 40 * t t = 18 hrs distance covered by b = distance covered by k 40 * t = 60 * time taken by k time taken by k = 40 * 18 / 60 = 12 hrs time taken by a = 6 + t = 6 + 18 = 24 hrs time taken by k = 12 hrs so k starts 24 - 12 = 12 hrs after a . ( answer d )" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 7", + "Correct": "d", + "Explanation": "\"a ' s rate is 1 / 42 and b ' s rate is 1 / 7 . the combined rate is 1 / 42 + 1 / 7 = 1 / 6 the pipes will fill the tank in 6 minutes . the answer is d .\"" + }, + { + "Answer": 12.272727272727273, + "Options": "a ) 12.88 , b ) 12.6 , c ) 12.55 , d ) 12.21 , e ) 12.27", + "Correct": "e", + "Explanation": "\"900 * 15 = 1100 * x x = 12.27 . answer : e\"" + }, + { + "Answer": 55.38461538461539, + "Options": "a ) 42 , b ) 55 , c ) 50 , d ) 54 , e ) 56", + "Correct": "b", + "Explanation": "\"t 1 = 600 / 60 = 10 hours t 2 = 120 / 40 = 3 hours t = t 1 + t 2 = 13 hours avg speed = total distance / t = 720 / 13 = 55 mph = b\"" + }, + { + "Answer": 90.90909090909088, + "Options": "a ) 90.09 meters , b ) 111.12 meters , c ) 112.12 meters , d ) 113.12 meters , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : a runs 1000 meters while b runs 880 meters and c runs 800 meters . therefore , b runs 880 meters while c runs 800 meters . so , the number of meters that c runs when b runs 1000 meters = ( 1000 x 800 ) / 880 = 909.09 meters thus , b can give c ( 1000 - 909.09 ) = 90.09 meters start answer : a\"" + }, + { + "Answer": 36, + "Options": "a ) 36 , b ) 88 , c ) 18 , d ) 26 , e ) 12", + "Correct": "a", + "Explanation": "\"let the leak can empty the full tank in x hours 1 / 9 - 1 / x = 1 / 12 = > 1 / x = 1 / 9 - 1 / 12 = 1 / 12 = > x = 36 . answer : a\"" + }, + { + "Answer": 16, + "Options": "a ) 4 , b ) 8 , c ) 16 , d ) 32 , e ) 36", + "Correct": "c", + "Explanation": "explanation : there is more than 1 way to approach the solution ; however , i will detail the easiest way to go about it here . we want to find the ratio of time taken for nth round : time taken for ( n - 1 ) th round it will be same as finding the ratio of time taken for 2 nd round : time taken for 1 st round . 1 round = circumference of the circle = 2 \u03c0 r 1 st round : speed = \u03c0 r for 30 seconds . so , total distance travelled = \u03c0 r / 2 . speed = \u03c0 r / 2 for 1 minute . so , total distance travelled = \u03c0 r / 2 . speed = \u03c0 r / 4 for 2 minutes . so , total distance travelled = \u03c0 r / 2 . speed = \u03c0 r / 8 for 4 minutes . so , total distance travelled = \u03c0 r / 2 . so , for a distance of 2 \u03c0 r , time taken is 7.5 minutes . 2 nd round : speed = \u03c0 r / 16 for 8 minutes . so , total distance travelled = \u03c0 r / 2 . speed = \u03c0 r / 32 for 16 minutes . so , total distance travelled = \u03c0 r / 2 . speed = \u03c0 r / 64 for 32 minutes . so , total distance travelled = \u03c0 r / 2 . speed = \u03c0 r / 128 for 64 minutes . so , total distance travelled = \u03c0 r / 2 . so , for a distance of 2 \u03c0 r , time taken is 120 minutes . ratio is 120 : 7.5 = 16 : 1 . answer : c" + }, + { + "Answer": 257, + "Options": "a ) 104 , b ) 255 , c ) 266 , d ) 257 , e ) 276", + "Correct": "d", + "Explanation": "\"1028 / 4 = 257 kmph answer : d\"" + }, + { + "Answer": 45, + "Options": "a ) 21 , b ) 22 , c ) 20 , d ) 45 , e ) 30", + "Correct": "d", + "Explanation": "2 nd day he earns = 3 ( 2 \u2013 5 ) 3 rd day he earns = 3 ( 3 \u2013 5 ) on 20 th day he earns 3 ( 20 - 5 ) = 45 rupees answer : d" + }, + { + "Answer": 48, + "Options": "a ) 12 sec , b ) 24 sec , c ) 48 sec , d ) 60 sec , e ) none", + "Correct": "c", + "Explanation": "solution relative speed = ( 45 + 30 ) km / hr = ( 75 x 5 / 18 ) m / sec = ( 125 / 6 ) m / sec total distance covered = ( 500 + 500 ) m = 1000 m required time = ( 1000 x 6 / 125 ) sec = 48 sec answer c" + }, + { + "Answer": 22.22222222222217, + "Options": "a ) 10.22 meters , b ) 11.22 meters , c ) 22.22 meters , d ) 33.22 meters , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : a runs 1000 meters while b runs 900 meters and c runs 880 meters . therefore , b runs 900 meters while c runs 880 meters . so , the number of meters that c runs when b runs 1000 meters = ( 1000 x 880 ) / 900 = 977.778 meters thus , b can give c ( 1000 - 977.77 ) = 22.22 meters start answer : c\"" + }, + { + "Answer": 60, + "Options": "a ) 30 sec , b ) 32 sec , c ) 36 sec , d ) 38 sec , e ) 60 sec", + "Correct": "e", + "Explanation": "\"relative speed = ( 25 + 2 ) km / hr = 27 km / hr = ( 27 \u00d7 5 / 18 ) m / sec = 15 / 2 m / sec . time taken by the train to pass the man = ( 450 \u00d7 2 / 15 ) sec = 60 sec answer : e\"" + }, + { + "Answer": 4.3746500279977605, + "Options": "a ) 2.58 sec , b ) 2.91 sec , c ) 4.37 sec , d ) 2.9 sec , e ) 1.8 sec", + "Correct": "c", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 175 / 40 = 4.37 sec . answer : c\"" + }, + { + "Answer": 249.99999999999997, + "Options": "a ) 223 , b ) 376 , c ) 250 , d ) 378 , e ) 271", + "Correct": "c", + "Explanation": "let xx be the distance between a and b . since susan covered 80 km in 2 hours , her speed was v = 802 = 40 v = 802 = 40 km / hr . if she continued at the same speed she would be 1515 minutes late , i . e . the planned time on the road is x 40 \u2212 1560 x 40 \u2212 1560 hr . the rest of the distance is ( x \u2212 80 ) ( x \u2212 80 ) km . v = 40 + 10 = 50 v = 40 + 10 = 50 km / hr . so , she covered the distance between a and b in 2 + x \u2212 80502 + x \u2212 8050 hr , and it was 36 min less than planned . therefore , the planned time was 2 + x \u2212 8050 + 36602 + x \u2212 8050 + 3660 . when we equalize the expressions for the scheduled time , we get the equation : x 40 \u2212 1560 = 2 + x \u2212 8050 + 3660 x 40 \u2212 1560 = 2 + x \u2212 8050 + 3660 x \u2212 1040 = 100 + x \u2212 80 + 3050 x \u2212 1040 = 100 + x \u2212 80 + 3050 x \u2212 104 = x + 505 x \u2212 104 = x + 505 5 x \u2212 50 = 4 x + 2005 x \u2212 50 = 4 x + 200 x = 250 x = 250 so , the distance between cities a and b is 250 km . answer : c" + }, + { + "Answer": 100, + "Options": "a ) 100 m , b ) 150 m , c ) 187 m , d ) 167 m , e ) 197 m", + "Correct": "a", + "Explanation": "\"speed = 40 * 5 / 18 = 100 / 9 m / sec length of the train = speed * time = 100 / 9 * 9 = 100 m answer : a\"" + }, + { + "Answer": 2.0000000000000004, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "b", + "Explanation": "when the woman passes the man , they are aligned ( m and w ) . they are moving in the same direction . after 5 minutes , the woman ( w ) will be ahead the man ( m ) : m - - - - - - m - - - - - - - - - - - - - - - w w in the 5 minutes , after passing the man , the woman walks the distance mw = ww , which is 3 * 15 / 60 = 15 / 20 miles and the man walks the distance mm , which is 3 * 9 / 60 = 9 / 20 mile . the difference of 15 / 20 - 9 / 20 = 3 / 10 miles ( mw ) will be covered by the man in ( 3 / 10 ) / 9 = 1 / 30 of an hour , which is 2 minutes . answer b ." + }, + { + "Answer": 260.03999999999996, + "Options": "a ) 260 m , b ) 220 m , c ) 230 m , d ) 240 m , e ) 250 m", + "Correct": "a", + "Explanation": "\"relative speeds = ( 120 + 80 ) km / hr = 200 km / hr = ( 200 * 5 / 18 ) m / s = ( 500 / 9 ) m / s let length of train be xm x + 240 / 9 = 500 / 9 x = 260 ans is 260 m answer : a\"" + }, + { + "Answer": 6, + "Options": "a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", + "Correct": "b", + "Explanation": "here when he step down 26 steps he has 30 seconds for remaining steps . if he step down 34 stairs he has only 18 sec . 30 - 18 = 12 12 secs for 8 steps . . 18 secs for 12 steps . 12 + 34 = 46 so ans is 46 . . answer : b" + }, + { + "Answer": 16.90909090909091, + "Options": "a ) 4 , b ) 6 , c ) 5 , d ) 17 , e ) 13", + "Correct": "d", + "Explanation": "\"speed of train relative to man = ( 60 + 6 ) km / hr = 66 km / hr [ 66 * 5 / 18 ] m / sec = [ 55 / 3 ] m / sec . time taken to pass the man = [ 310 * 3 / 55 ] sec = 17 sec answer : d\"" + }, + { + "Answer": 0.3333333333333333, + "Options": "a ) 2 / 5 , b ) 1 / 6 , c ) 1 / 3 , d ) 1 / 9 , e ) 2 / 6", + "Correct": "c", + "Explanation": "\"a ' s one day ' s work = 1 / 30 b ' s one day ' s work = 1 / 45 ( a + b ) ' s one day ' s work = 1 / 30 + 1 / 45 = 1 / 18 the part of the work completed in 6 days = 6 ( 1 / 18 ) = 1 / 3 . answer c\"" + }, + { + "Answer": 46, + "Options": "a ) 27 , b ) 40 , c ) 42 , d ) 46 , e ) 24", + "Correct": "d", + "Explanation": "\"us = 40 ds = 52 m = ( 40 + 52 ) / 2 = 46 answer : d\"" + }, + { + "Answer": 6.666666666666666, + "Options": "a ) a ) 5.333 , b ) b ) 6 , c ) c ) 6.666 , d ) d ) 8.333 , e ) e ) 9", + "Correct": "c", + "Explanation": "\"this question can be solved by different methods . we need to conserve time in exams so solving this problem using equations is the good idea . time taken to finish the job = xy / ( x + y ) = 10 x 20 / ( 10 + 20 ) = 200 / 30 = 6.666 days answer : c\"" + }, + { + "Answer": 480, + "Options": "a ) 270 , b ) 288 , c ) 266 , d ) 299 , e ) 480", + "Correct": "e", + "Explanation": "\"relative speed = ( 72 - 36 ) * 5 / 18 = 2 * 5 = 10 mps . distance covered in 27 sec = 48 * 10 = 480 m . the length of the faster train = 480 m . answer : e\"" + }, + { + "Answer": 20, + "Options": "a ) 30 , b ) 10 , c ) 15 , d ) 20 , e ) 25", + "Correct": "d", + "Explanation": "net speed = 3 + 2 = 5 m / sec distance = 100 m time = 100 / 5 = 20 sec answer d" + }, + { + "Answer": 0.06666666666666667, + "Options": "a ) 1 / 3 , b ) 1 / 4 , c ) 1 / 15 , d ) 3 / 8 , e ) 2 / 3", + "Correct": "c", + "Explanation": "\"total number of ways to choose 2 out of 6 workers = 6 ! / 2 ! 4 ! = 15 number of ways to choose both jack and jill = 1 probability = 1 / 15 c should be the answer\"" + }, + { + "Answer": 10, + "Options": "a ) 10 kmph , b ) 20 kmph , c ) 30 kmph , d ) 40 kmph , e ) 50 kmph", + "Correct": "a", + "Explanation": "a 10 kmph time left = 10 - 3 / 5 * 10 = 4 hr 10 km / h speed = 40 km / 4 hr = 10 kmph" + }, + { + "Answer": 5.5, + "Options": "a ) 5.5 , b ) 15 , c ) 25.5 , d ) 30 , e ) 60", + "Correct": "a", + "Explanation": "\"the time it takes darcy to walk to work is ( 1.5 / 3 ) * 60 = 30 minutes the time it takes darcy to take the train is ( 1.5 / 20 ) * 60 + x = 4.5 + x minutes it takes 15 minutes longer to walk , so 30 = 4.5 + x + 20 x = 5.5 minutes answer : a\"" + }, + { + "Answer": 22.998160147188226, + "Options": "a ) 26 , b ) 72 , c ) 25 , d ) 23 , e ) 27", + "Correct": "d", + "Explanation": "\"explanation : d = 100 + 130 = 230 s = 36 * 5 / 18 = 10 mps t = 230 / 10 = 23 sec answer : option d\"" + }, + { + "Answer": 251.99999999999997, + "Options": "a ) 72 sec , b ) 132 sec , c ) 192 sec , d ) 252 sec , e ) none", + "Correct": "d", + "Explanation": "solution relative speed = ( 45 - 40 ) kmph = 5 kmph = ( 5 x 5 / 18 ) m / sec = ( 25 / 18 ) m / sec time taken = ( 350 x 18 / 25 ) sec = 252 sec . answer d" + }, + { + "Answer": 11.53753853537871, + "Options": "a ) 12.7 sec , b ) 10.1 sec , c ) 11.5 sec , d ) 12.1 sec , e ) 11.7 sec", + "Correct": "c", + "Explanation": "\"speed = 78 * 5 / 18 = 21.7 m / sec total distance covered = 125 + 125 = 250 m . required time = 250 / 21.7 ' = 11.5 sec . answer : c\"" + }, + { + "Answer": 265, + "Options": "a ) 265 , b ) 244 , c ) 245 , d ) 238 , e ) 236", + "Correct": "a", + "Explanation": "\"speed = ( 45 * 5 / 18 ) m / sec = ( 25 / 2 ) m / sec . time = 30 sec . let the length of bridge be x meters . then , ( 110 + x ) / 30 = 25 / 2 = = > 2 ( 110 + x ) = 750 = = > x = 265 m . answer : option a\"" + }, + { + "Answer": 75, + "Options": "a ) 66 , b ) 70 , c ) 72 , d ) 75 , e ) 78", + "Correct": "d", + "Explanation": "\"let the distance one way be x time from home to work = x / 60 time from work to home = x / 100 total time = 2 hrs ( x / 60 ) + ( x / 100 ) = 2 solving for x , we get x = 75 time from home to work in minutes = ( 75 ) * 60 / 60 = 75 minutes ans = d\"" + }, + { + "Answer": 4.2, + "Options": "a ) 5.75 , b ) 5.7 , c ) 5.76 , d ) 4.2 , e ) 5.71", + "Correct": "d", + "Explanation": "\"m = 5 s = 2 ds = 7 us = 3 x / 7 + x / 3 = 1 x = 2.1 d = 2.1 * 2 = 4.2 answer : d\"" + }, + { + "Answer": 22.79817614590833, + "Options": "a ) 36.7 , b ) 26.8 , c ) 22.8 , d ) 21.1 , e ) 16.2", + "Correct": "c", + "Explanation": "d = 200 + 180 = 380 m s = 60 * 5 / 18 = 50 / 3 t = 380 * 3 / 50 = 22.8 sec answer : c" + }, + { + "Answer": 60, + "Options": "a ) 22 , b ) 38 , c ) 60 , d ) 88 , e ) 72", + "Correct": "c", + "Explanation": "\"explanation : let the required no of hours be x . then less men , more hours ( indirct proportion ) \\ inline \\ fn _ jvn \\ therefore 15 : 36 : : 25 : x \\ inline \\ fn _ jvn \\ leftrightarrow ( 15 x x ) = ( 36 x 25 ) \\ inline \\ fn _ jvn \\ leftrightarrow \\ inline \\ fn _ jvn x = \\ frac { 36 \\ times 25 } { 15 } = 60 hence , 15 men can do it in 60 hours . answer : c ) 60\"" + }, + { + "Answer": 245, + "Options": "a ) 150 , b ) 200 , c ) 188 , d ) 245 , e ) 123", + "Correct": "d", + "Explanation": "the tailors would need to cut the fabric 49 times thus the total amount spent would be 245 minutes . the answer is d" + }, + { + "Answer": 10312.5, + "Options": "a ) $ 10312.50 , b ) $ 13512.50 , c ) $ 16512.50 , d ) $ 14512.50 , e ) $ 18512.50", + "Correct": "a", + "Explanation": "\"area = 5.5 \u00d7 3.75 sq . metre . cost for 1 sq . metre . = $ 500 hence , total cost = 5.5 \u00d7 3.75 \u00d7 500 = $ 10312.50 a\"" + }, + { + "Answer": 11.25, + "Options": "a ) 5.75 , b ) 7.62 , c ) 11.25 , d ) 4.25 , e ) 3.25", + "Correct": "c", + "Explanation": "\"speed of bus relative to woman = 21 + 3 = 24 km / hr . = 24 * 5 / 18 = 20 / 3 m / sec . time taken to pass the woman = 75 * 3 / 20 = 11.25 sec . answer : c\"" + }, + { + "Answer": 50, + "Options": "a ) 45 , b ) 48 , c ) 50 , d ) 52 , e ) 54", + "Correct": "c", + "Explanation": "\"the time it takes bob to drive to city b is 100 / 40 = 2.5 hours . alice needs to take less than 2 hours for the trip . alice needs to exceed a constant speed of 100 / 2 = 50 miles per hour . the answer is c .\"" + }, + { + "Answer": 12.099032077433806, + "Options": "a ) 12.6 , b ) 12.0 , c ) 12.1 , d ) 12.3 , e ) 12.2", + "Correct": "b", + "Explanation": "\"speed = 72 * 5 / 18 = 20 m / sec total distance covered = 110 + 132 = 242 m . required time = 242 / 20 = 12.1 sec . answer : b\"" + }, + { + "Answer": 45.00000000000001, + "Options": "a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50", + "Correct": "d", + "Explanation": "pipe a fills 1 / 30 th of the tank in a minute and pipe b empties 1 / 90 th of the tank ( 1 / 30 ) - ( 1 / 90 ) = ( 1 / x ) 2 / 90 = 1 / x = > x = 45 answer : d" + }, + { + "Answer": 8, + "Options": "a ) 10 hours , b ) 12 hours , c ) 8 hours , d ) 5 hours , e ) 15 hours", + "Correct": "c", + "Explanation": "work done by the leak in 1 hour = 1 / 4 - 1 / 8 = 1 / 8 the leak will empty the tank in 8 hours answer is c" + }, + { + "Answer": 14, + "Options": "a ) 13 : 00 , b ) 13 : 30 , c ) 14 : 00 , d ) 15 : 00 , e ) 15 : 30", + "Correct": "c", + "Explanation": "\"both sari and ken climb in the same direction . speed of sari = 700 / 2 = 350 meters / hr ( since she covers 700 meters in 2 hrs ) speed of ken = 500 meters / hr at 8 : 00 , distance between ken and sari is 700 meters . ken needs to cover this and another 50 meters . time he will take = total distance to be covered / relative speed = ( 700 + 50 ) / ( 500 - 350 ) = 5 hrs starting from 9 : 00 , in 5 hrs , the time will be 14 : 00 answer ( c )\"" + }, + { + "Answer": 3, + "Options": "a ) 1 1 / 5 days , b ) 2 days , c ) 2 1 / 5 days , d ) 3 days , e ) 4 days", + "Correct": "d", + "Explanation": "answer : option ' d ' that is , 1 girl can do one time of the work in 3 days . therefore , 7 girls can do 7 times work in the same 3 days itself ." + }, + { + "Answer": 844.7999999999998, + "Options": "a ) 843.03 m , b ) 844.03 m , c ) 845.03 m , d ) 846.03 m , e ) 847.03 m", + "Correct": "b", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 600 resolutions . = 600 * 2 * 22 / 7 * 22.4 = 84403 cm = 844.03 m answer : b\"" + }, + { + "Answer": 501, + "Options": "a ) 500 , b ) 501 , c ) 502 , d ) 503 , e ) 504", + "Correct": "b", + "Explanation": "length after removing pole is 12 / 3 = 4 then before removing pole is 2 ( ' coz | 2 | 2 | is | 4 | ) i . e . gap between two poles is 2 m 1 km = 1000 m then split 1000 m by 2 m = > we have 500 sections or gaps then no . of poles is 500 + 1 st pole = 501 poles therefore n = 501 . answer : b" + }, + { + "Answer": 5, + "Options": "a ) 8 kmph , b ) 5 kmph , c ) 4 kmph , d ) 7 kmph , e ) 9 kmph", + "Correct": "b", + "Explanation": "explanation : if arun doubles his speed , he needs 3 hour less . double speed means half time . hence , half of the time required by arun to cover 30 km = 3 hour i . e . , time required by arun to cover 30 km = 6 hour arun ' s speed = 30 / 6 = 5 kmph answer is b" + }, + { + "Answer": 15552, + "Options": "a ) 15840 , b ) 3388 , c ) 2667 , d ) 8766 , e ) 15552", + "Correct": "e", + "Explanation": "\"a 2 = 104976 = > a = 324 4 a = 1296 1296 * 12 = 15552 answer : e\"" + }, + { + "Answer": 9, + "Options": "a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", + "Correct": "b", + "Explanation": "\"explanation : 26 trees have 25 gaps between them , required distance ( 225 / 25 ) = 10 option b\"" + }, + { + "Answer": 132, + "Options": "a ) 115 , b ) 120 , c ) 124 , d ) 130 , e ) 132", + "Correct": "e", + "Explanation": "at 12 : 24 - minute hand will be at 24 * 6 = 144 degrees from position of 12 . - hour hand will move by 2 * 6 = 12 degree during the same time so the difference between the two hands will be 144 - 12 = 132 degrees . answer : e" + }, + { + "Answer": 3576, + "Options": "a ) 2534 , b ) 3545 , c ) 3521 , d ) 4564 , e ) 3576", + "Correct": "e", + "Explanation": "let the length of the train be l metres and speeds of the train arun and sriram be r , a and s respectively , then - - - - - - - - - - ( i ) and - - - - - - - - - ( ii ) from eq . ( i ) and ( ii ) 3 ( r - a ) = 2 ( r + k ) r = 3 a + 2 k in 30 minutes ( i . e 1800 seconds ) , the train covers 1800 r ( distance ) but the arun also covers 1800 a ( distance ) in the same time . therefore distance between arun and sriram , when the train has just crossed sriram = 1800 ( r - a ) - 24 ( a + k ) time required = = ( 3600 - 24 ) = 3576 s e" + }, + { + "Answer": 8, + "Options": "a ) 2 days , b ) 3 days , c ) 8 days , d ) 5 days , e ) 6 days", + "Correct": "c", + "Explanation": "\"ratio of rates of working of a and b = 2 : 1 ratio of times taken = 1 : 2 a ' s 1 day work = 1 / 12 b ' s 1 day work = 1 / 24 a + b 1 day work = 1 / 12 + 1 / 24 = 3 / 24 = 1 / 8 a and b can finish the work in 8 days answer is c\"" + }, + { + "Answer": 72.00000000000001, + "Options": "a ) 72 % , b ) 80 % , c ) 100 % , d ) 120 % , e ) 125 %", + "Correct": "a", + "Explanation": "\"for a , r = 8 / 2 pi . its capacity = ( 4 pi ) ^ 2 * 9 = 144 pi for b , r = 10 / pi . its capacity = ( 5 pi ) ^ 2 * 8 = 200 pi a / b = 144 pi / 200 pi = 0.72 a\"" + }, + { + "Answer": 11, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 11 , e ) 17", + "Correct": "d", + "Explanation": "\"21 trees have 20 gaps between them , required distance ( 220 / 20 ) = 11 d\"" + }, + { + "Answer": 50, + "Options": "a ) 20 km , b ) 30 km , c ) 40 km , d ) 50 km , e ) 60 km", + "Correct": "d", + "Explanation": "\"number of stops in an hour : 60 / 5 = 12 distance between stops : 60 / 12 = 5 km distance between yahya ' s house and pinedale mall : 5 x 10 = 50 km imo , correct answer is ` ` d . ' '\"" + }, + { + "Answer": 120, + "Options": "a ) 100 , b ) 105 , c ) 110 , d ) 115 , e ) 120", + "Correct": "e", + "Explanation": "let x be the distance from his house to the school . x / 10 = x / 12 + 2 6 x = 5 x + 120 x = 120 km the answer is e ." + }, + { + "Answer": 15, + "Options": "a ) 13 sec . , b ) 14 sec . , c ) 12 sec . , d ) 15 sec . , e ) 19 sec .", + "Correct": "d", + "Explanation": "\"speed of the first bullet train = 120 / 10 m / sec = 12 m / sec . speed of the second bullet train = 120 / 30 m / sec = 4 m / sec . relative speed = ( 12 + 4 ) = 16 m / sec . required time = ( 120 + 120 ) / 16 sec = 15 sec . d\"" + }, + { + "Answer": 3.1111111111111116, + "Options": "a ) 28 / 9 , b ) 4 / 3 , c ) 15 / 8 , d ) 9 / 4 , e ) 15 / 4", + "Correct": "a", + "Explanation": "( 1 / 2 + 1 / 7 ) t = 2 t = 28 / 9 answer : a" + }, + { + "Answer": 10.999120070394369, + "Options": "a ) 6 sec , b ) 7 sec , c ) 8 sec , d ) 11 sec , e ) 2 sec", + "Correct": "d", + "Explanation": "\"t = 110 / 36 * 18 / 5 = 11 sec answer : d\"" + }, + { + "Answer": 8, + "Options": "a ) 8 am , b ) 6 am , c ) 7 am , d ) 10 am , e ) 8 pm", + "Correct": "a", + "Explanation": "time of meeting = distance / relative speed = 36 / 8 + 4 = 36 / 12 = 3 hrs after 5 am = 8 am answer is a" + }, + { + "Answer": 410.0448, + "Options": "a ) 410 m , b ) 354 m , c ) 450 m , d ) 350 m , e ) 250 m", + "Correct": "a", + "Explanation": "\"a 410 a = ( 72 * 5 / 18 ) * 28 - 150 = 410\"" + }, + { + "Answer": 250, + "Options": "a ) 250 , b ) 1,600 / 3 , c ) 1,000 , d ) 1,500 , e ) 2,500", + "Correct": "a", + "Explanation": "\"x 13 : ( t , d , s ) y 14 : ( t , 3 d , s + 1000 mi / hour ) z 15 : ( t + 2 seconds , s , 5 d ) d = ? distance = speed * time x 13 : d = s * t x 14 : 3 d = ( s + 1000 ) * t = = = > 3 d = ts + 1000 t z 15 : 5 d = s * ( t + 2 t ) = = = > 5 d = st + 2 st = = = > 5 d - 2 st = st 3 d = 5 d - 2 st + 1000 t - 2 d = - 2 st + 1000 t 2 d = 2 st - 1000 t d = st - 500 t x 13 : d = s * t st - 500 t = s * t s - 500 = s - 250 = s i got to this point and could n ' t go any further . this seems like a problem where i can set up individual d = r * t formulas and solve but it appears that ' s not the case . for future reference how would i know not to waste my time setting up this problem in the aforementioned way ? thanks ! ! ! the distance of z 15 is equal to five times the distance of x 13 ( we established that x 13 is the baseline and thus , it ' s measurements are d , s , t ) s ( t + 2 ) = 5 ( s * t ) what clues would i have to know to set up the equation in this fashion ? is it because i am better off setting two identical distances together ? st + 2 s = 5 st t + 2 = 5 t 2 = 4 t t = 1 / 2 we are looking for distance ( d = s * t ) so we need to solve for speed now that we have time . speed y 14 - speed x 13 speed = d / t 3 d / t - d / t = 1000 ( remember , t is the same because both asteroids were observed for the same amount of time ) 2 d = 1000 2 = 500 d = s * t d = 500 * ( 1 / 2 ) d = 250 answer : a\"" + }, + { + "Answer": 9, + "Options": "a ) 9 days , b ) 21 days , c ) 24 days , d ) 27 days , e ) 28 days", + "Correct": "a", + "Explanation": "\"explanation : ( 1 man + 1 woman + 1 boy ) \u2019 s 1 day \u2019 s work = 1 / 3 1 man \u2019 s 1 day work = 1 / 6 1 boy \u2019 s 1 day \u2019 s work = 1 / 18 ( 1 man + 1 boy ) \u2018 s 1 day \u2019 s work = 1 / 6 + 1 / 18 = 2 / 9 therefore , 1 woman \u2019 s 1 day \u2019 s work = 1 / 3 \u2013 2 / 9 = 3 - 2 / 9 = 1 / 9 therefore , the woman alone can finish the work in 9 days . answer : option a\"" + }, + { + "Answer": 5184, + "Options": "a ) 5184 , b ) 5276 , c ) 5368 , d ) 5460 , e ) 5552", + "Correct": "a", + "Explanation": "\"the tank is emptied at this rate : 14 + 6 - 5 = 15 cubic inches / min the tank has a volume of 45 * 12 * 12 * 12 = 77760 cubic inches . the time it takes to empty the tank is 77760 / 15 = 5184 minutes . the answer is a .\"" + }, + { + "Answer": 2.6666666666666665, + "Options": "a ) 8 / 5 , b ) 8 / 3 , c ) 3 / 5 , d ) 5 / 8 , e ) 5 / 3", + "Correct": "b", + "Explanation": "let the man ' s rate upstream be x kmph and that downstream be y kmph . then , distance covered upstream in 8 hrs 48 min = distance covered downstream in 4 hrs . 44 * x / 5 = 4 * y y = 11 / 5 * x required ratio = ( y + x ) / 2 : ( y - x ) / 2 = 8 / 5 : 3 / 5 = 8 / 3 ans - b" + }, + { + "Answer": 100, + "Options": "a ) 40 , b ) 54 , c ) 45 , d ) 39 , e ) 100", + "Correct": "e", + "Explanation": "\"no . of toys = 100 / 1 = 100 answer : e\"" + }, + { + "Answer": 2.4, + "Options": "a ) 3.2 km , b ) 3 km , c ) 2.4 km , d ) 3.6 km , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : speed in still water = 5 kmph speed of the current = 1 kmph speed downstream = ( 5 + 1 ) = 6 kmph speed upstream = ( 5 - 1 ) = 4 kmph let the requited distance be x km total time taken = 1 hour = > x / 6 + x / 4 = 1 = > 2 x + 3 x = 12 = > 5 x = 12 = > x = 2.4 km . answer : option c\"" + }, + { + "Answer": 8, + "Options": "a ) 3 minutes , b ) 4 minutes , c ) 5 minutes , d ) 6 minutes , e ) 8 minutes", + "Correct": "e", + "Explanation": "rate = work / time given rate of machine a = x / 10 min machine b produces 2 x boxes in 5 min hence , machine b produces 4 x boxes in 10 min . rate of machine b = 4 x / 10 we need tofind the combined time that machines a and b , working simultaneouslytakeat their respective constant rates let ' s first find the combined rate of machine a and b rate of machine a = x / 10 min + rate of machine b = 4 x / 10 = 5 x / 10 now combine time = combine work needs to be done / combine rate = 4 x / 5 x * 10 = 8 min ans : e" + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 15 , c ) 16 , d ) 18 , e ) 20", + "Correct": "a", + "Explanation": "10 men - working 2 hrs - cut 10 trees 1 men - working 1 hr - cuts = 10 / 10 * 2 thus 8 men - working 3 hrs - cut = 10 * 8 * 3 / 10 * 2 = 12 trees answer is a" + }, + { + "Answer": 30, + "Options": "a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", + "Correct": "c", + "Explanation": "man and days concept . . . 6 m * 80 d = m * 16 d solve it , total no of people required is 30 ; answer : c" + }, + { + "Answer": 15.256410256410257, + "Options": "a ) 14.83 , b ) 14.81 , c ) 14.8 , d ) 15.25 , e ) 14.12", + "Correct": "d", + "Explanation": "\"explanation : since 312 inch = 140 km so 1 inch = 140 / 312 km so 34 inch = ( 140 \u00e3 \u2014 34 ) / 312 = 15.25 km answer : d\"" + }, + { + "Answer": 120, + "Options": "a ) 100 mlies , b ) 120 miles , c ) 90 miles , d ) 95 miles , e ) 110 miles", + "Correct": "b", + "Explanation": "time taken by lewis to reach tirupati = 160 / 80 = 2 hours in 2 hours , david travels 60 * 2 = 120 miles so distance at which they meet should be greater than 120 miles . only b satisfies . answer is b ." + }, + { + "Answer": 57.5, + "Options": "a ) 56 , b ) 57.5 , c ) 58.9 , d ) 61.4 , e ) 62", + "Correct": "b", + "Explanation": "the total distance is 1 \u00d7 50 + 3 \u00d7 60 = 2301 \u00d7 50 + 3 \u00d7 60 = 230 . and the total time is 4 hours . hence , average speed = ( total distancetotal time ) = 2304 = 57.5 b" + }, + { + "Answer": 60, + "Options": "a ) 11 , b ) 50 , c ) 28 , d ) 27 , e ) 60", + "Correct": "e", + "Explanation": "\"explanation : we know 60 min = 1 hr total northward laxmi ' s distance = 15 kmph x 1 hr = 15 km total southward prasanna ' s distance = 45 kmph x 1 hr = 45 km total distance between prasanna and laxmi is = 15 + 45 = 60 km . answer : e\"" + }, + { + "Answer": 245, + "Options": "a ) 140 , b ) 175 , c ) 210 , d ) 245 , e ) 270", + "Correct": "d", + "Explanation": "in 84 minutes , car x travels 49 miles . car y gains 7 miles each hour , so it takes 7 hours to catch car x . in 7 hours , car x travels 245 miles . the answer is d ." + }, + { + "Answer": 10.86909090909091, + "Options": "a ) 6.24 km , b ) 6 km , c ) 5.76 km , d ) 5.66 km , e ) 10.87 km", + "Correct": "e", + "Explanation": "\"m = 11 s = 1.2 ds = 12.2 us = 9.8 x / 12.2 + x / 9.8 = 1 x = 5.43 d = 5.43 * 2 = 10.87 answer : e\"" + }, + { + "Answer": 54, + "Options": "a ) 50 , b ) 30 , c ) 125 , d ) 54 , e ) none of these", + "Correct": "d", + "Explanation": "\"h . c . f = ( product of the numbers ) / ( their l . c . m ) = 38880 / 720 = 54 . answer : d\"" + }, + { + "Answer": 49, + "Options": "a ) 25 hr , b ) 35 hr , c ) 40 hr , d ) 49 hr , e ) 50 hr", + "Correct": "d", + "Explanation": "\"suppose pipe a alone take x hours to fill the tank then pipe b and c will take x / 2 and x / 4 hours respectively to fill the tank . 1 / x + 2 / x + 4 / x = 1 / 7 7 / x = 1 / 7 x = 49 hours answer is d\"" + }, + { + "Answer": 14, + "Options": "a ) 16 kmph , b ) 18 kmph , c ) 14 kmph , d ) 79 kmph , e ) 27 kmph", + "Correct": "c", + "Explanation": "\"the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 42 / 3 = 14 kmph . answer : c\"" + }, + { + "Answer": 71.99424046076314, + "Options": "a ) 12 sec , b ) 24 sec , c ) 48 sec , d ) 72 sec , e ) none", + "Correct": "d", + "Explanation": "\"sol . relative speed = ( 45 + 30 ) km / hr = ( 75 x 5 / 18 ) m / sec = ( 125 / 6 ) m / sec . distance covered = ( 750 + 750 ) m = 1500 m . required time = ( 1500 x 6 / 125 ) sec = 72 sec . answer d\"" + }, + { + "Answer": 60, + "Options": "a ) 22 , b ) 20 , c ) 60 , d ) 71 , e ) 11", + "Correct": "c", + "Explanation": "\"x - - - - - - - 7 ( x + 10 ) - - - - 6 x * 7 = ( x + 10 ) 6 x = 60 \\ answer : c\"" + }, + { + "Answer": 9.5, + "Options": "a ) 3.5 gallons , b ) 9.5 gallons , c ) 8.7 gallons , d ) 4.5 gallons , e ) 9.2 gallons", + "Correct": "b", + "Explanation": "each 40 kilometers , 1 gallon is needed . we need to know how many 40 kilometers are there in 180 kilometers ? 180 \u00e3 \u00b7 40 = 9.5 \u00e3 \u2014 1 gallon = 9.5 gallons correct answer is b ) 9.5 gallons" + }, + { + "Answer": 11.999999999999998, + "Options": "a ) 23 , b ) 22 , c ) 12 , d ) 24 , e ) 25", + "Correct": "c", + "Explanation": "a can finish 1 work in 20 days b can finish 1 / 1.5 work in 20 days - since a is 1.5 faster than b this means b can finish 1 work in 20 * 1.5 days = 30 days now using the awesome gmat formula when two machines work together they can finish the job in = ab / ( a + b ) = 20 * 30 / ( 20 + 30 ) = 20 * 30 / 50 = 12 days so answer is c" + }, + { + "Answer": 10.8, + "Options": "a ) 10.6 , b ) 10.2 , c ) 10.8 , d ) 10.4 , e ) 10.0", + "Correct": "c", + "Explanation": "speed downstream = ( 22 + 5 ) = 27 kmph time = 24 minutes = 24 / 60 hour = 2 / 5 hour distance travelled = time \u00d7 speed = 2 / 5 \u00d7 27 = 10.8 km answer is c ." + }, + { + "Answer": 90, + "Options": "a ) 100 kg , b ) 120 kg , c ) 89 kg , d ) 90 kg , e ) 110 kg", + "Correct": "d", + "Explanation": "\"volume of water displaced = ( 3 x 3 x 0.01 ) m 3 = 0.09 m 3 . mass of man = volume of water displaced x density of water = ( 0.09 x 1000 ) kg = 90 kg . answer : d\"" + }, + { + "Answer": 28, + "Options": "a ) 16 min , b ) 26 min , c ) 28 min , d ) 20 min , e ) 12 min", + "Correct": "c", + "Explanation": "\"speed ratio = 1 : 4 / 5 = 5 : 4 time ratio = 4 : 51 - - - - - - - - 7 4 - - - - - - - - - ? \u00e8 28 answer : c\"" + }, + { + "Answer": 46, + "Options": "a ) 20 seconds , b ) 30 seconds , c ) 46 seconds , d ) 50 seconds , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 435 + 140 = 575 meter time = distance / speed = 575 \u2217 2 / 25 = 46 seconds option c\"" + }, + { + "Answer": 50, + "Options": "a ) 50 , b ) 30 , c ) 125 , d ) 25 , e ) none of these", + "Correct": "a", + "Explanation": "\"h . c . f = ( product of the numbers ) / ( their l . c . m ) = 22500 / 450 = 50 . answer : a\"" + }, + { + "Answer": 9, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "d", + "Explanation": "we can determine quickly that total number should range between 1020 / 160 < = n < = 1020 / 90 , so ans should be between 6 and 12 . now solving the expression 160 a + 90 b = 1020 decreasing 1020 by multiples of 160 and checking divisibility of that number by 9 , we get fast song plays for 3 minutes and slow somg plays for 6 minutes , 3 * 160 + 6 * 90 = 1020 hence total number of minutes stream of music plays is 3 + 6 = 9 minutes ans d" + }, + { + "Answer": 40, + "Options": "a ) 27 , b ) 87 , c ) 40 , d ) 18 , e ) 17", + "Correct": "c", + "Explanation": "explanation : let distance = x km and usual rate = y kmph . then , x / y - x / ( y + 3 ) = 40 / 60 - - > 2 y ( y + 3 ) = 9 x - - - - - ( i ) also , x / ( y - 2 ) - x / y = 40 / 60 - - > y ( y - 2 ) = 3 x - - - - - - - - ( ii ) on dividing ( i ) by ( ii ) , we get : x = 40 km . answer : c" + }, + { + "Answer": 216, + "Options": "a ) 18 , b ) 144 , c ) 175 , d ) 216 , e ) 250", + "Correct": "d", + "Explanation": "\"total paint initially = 360 gallons paint used in the first week = ( 1 / 2 ) * 360 = 180 gallons . remaning paint = 180 gallons paint used in the second week = ( 1 / 5 ) * 180 = 36 gallons total paint used = 216 gallons . option d\"" + }, + { + "Answer": 176, + "Options": "a ) 176 , b ) 124 , c ) 224 , d ) 186 , e ) 190", + "Correct": "a", + "Explanation": "\"length = 5 m 44 cm = 544 cm breadth = 3 m 74 cm = 374 cm area = 544 * 374 hcf = 34 area of square = 34 * 34 cm 2 no of tiles req = 544 * 374 / 34 * 34 = 16 * 11 = 176 answer a\"" + }, + { + "Answer": 20, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 20 , e ) 13", + "Correct": "d", + "Explanation": "\"one monkey takes 20 min to eat 1 banana , so in 80 mins 1 monkey will eat 4 bananas , so for 80 bananas in 80 min we need 80 / 4 = 20 monkeys answer : d\"" + }, + { + "Answer": 10, + "Options": "a ) 5 minutes , b ) 10 minutes , c ) 15 minutes , d ) 18 minutes , e ) 20 minutes", + "Correct": "b", + "Explanation": "\"you may set up common equation like this : job / a + job / b + job / c = job / x memorize this universal formula , you will need it definitely for gmat . and find x from this equation in this specific case , the equation will look like this : 30 / 40 + 30 / 30 + 30 / 24 = 30 / x if you solve this equation , you get the same answer b ( 10 )\"" + }, + { + "Answer": 144, + "Options": "a ) 144 , b ) 170 , c ) 180 , d ) 190 , e ) 200", + "Correct": "a", + "Explanation": "\"one man can complete the work in 24 * 60 = 1440 days = one time work to complete the work twice it will be completed in let m be the no . of worker assign for this therefore the eqn becomes m * 20 = 2 * 1440 m = 144 workers answer : a\"" + }, + { + "Answer": 6, + "Options": "a ) 10 , b ) 6 , c ) 4 , d ) 7 , e ) 5", + "Correct": "b", + "Explanation": "\"required number of machines = 24 * 10 / 40 = 6 answer is b\"" + }, + { + "Answer": 11.999040076793857, + "Options": "a ) 26 sec , b ) 30 sec , c ) 12 sec , d ) 19 sec , e ) 12 sec", + "Correct": "c", + "Explanation": "\"speed of train relative to man = 63 - 3 = 60 km / hr . = 60 * 5 / 18 = 50 / 3 m / sec . time taken to pass the man = 200 * 3 / 50 = 12 sec . answer : c\"" + }, + { + "Answer": 6, + "Options": "a ) 6 , b ) 8 , c ) 3 , d ) 4 , e ) 0", + "Correct": "a", + "Explanation": "\"explanation : use formula for a work members \u00e3 \u2014 days = constant 8 \u00e3 \u2014 3 = 4 \u00e3 \u2014 a a = 6 so answer is 6 days answer : a\"" + }, + { + "Answer": 359.9114857512855, + "Options": "a ) 32.8 , b ) 32.4 , c ) 360 , d ) 32.2 , e ) 32.9", + "Correct": "c", + "Explanation": "\"diameter = 140 cm 1 / 2 * 22 / 7 * 140 + 140 = 360 answer : c\"" + }, + { + "Answer": 4.800000000000001, + "Options": "a ) a ) 4.8 , b ) b ) 6.333 , c ) c ) 7.333 , d ) d ) 8.5 , e ) e ) 9", + "Correct": "a", + "Explanation": "\"this question can be solved by different methods . we need to conserve time in exams so solving this problem using equations is the good idea . time taken to finish the job = xy / ( x + y ) = 8 x 12 / ( 8 + 12 ) = 96 / 20 = 4.8 days answer : a\"" + }, + { + "Answer": 29.997600191984645, + "Options": "a ) 30 sec , b ) 198 sec , c ) 178 sec , d ) 665 sec , e ) 276 sec", + "Correct": "a", + "Explanation": "\"time taken to meet for the first time at the starting point = lcm { length of the track / speed of a , length of the track / speed of b } = lcm { 150 / ( 36 * 5 / 18 ) , 150 / ( 54 * 5 / 18 ) } = lcm ( 15 , 10 ) = 30 sec . answer : a\"" + }, + { + "Answer": 21.498280137588992, + "Options": "a ) 22 sec , b ) 77 sec , c ) 76 sec , d ) 21.5 sec , e ) 66 sec", + "Correct": "d", + "Explanation": "\"relative speed = ( 42 + 30 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in passing each other = 150 + 280 = 430 m . the time required = d / s = 430 / 20 = 21.5 sec . answer : d\"" + }, + { + "Answer": 70, + "Options": "a ) 42 , b ) 56 , c ) 70 , d ) 98 , e ) 140", + "Correct": "c", + "Explanation": "we are told that : generallya cyclist ' s speed varies , depending on the terrain , between 6.0 miles per hour and 14.0 miles per hour , inclusive . is it possible the cyclist to travel with maximum speed for some time ? why not , if there is right terrain for that . so , if there is long enough terrain for the maximum speed of 14 mph then the maximum distance , in miles , that the cyclist could travel in 5 hours would be 5 * 14 = 70 miles . answer : c ." + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 66 , c ) 77 , d ) 8 , e ) 6", + "Correct": "a", + "Explanation": "ans . 12 days" + }, + { + "Answer": 35, + "Options": "a ) 20 km , b ) 35 km , c ) 40 km , d ) 50 km , e ) 60 km", + "Correct": "b", + "Explanation": "\"number of stops in an hour : 60 / 5 = 12 distance between stops : 60 / 12 = 5 km distance between yahya ' s house and pinedale mall : 5 x 7 = 35 km imo , correct answer is ` ` b . ' '\"" + }, + { + "Answer": 420, + "Options": "a ) 420 , b ) 450 , c ) 480 , d ) 510 , e ) 540", + "Correct": "a", + "Explanation": "\"after two hours , train a is ahead by 60 miles . train b can catch up at a rate of 5 miles per hour . the time to catch up is 60 / 5 = 12 hours . in 12 hours , train a travels another 30 * 12 = 360 miles for a total of 420 miles . the answer is a .\"" + }, + { + "Answer": 100, + "Options": "a ) 100 days , b ) 667 days , c ) 177 days , d ) 187 days , e ) 225 days", + "Correct": "a", + "Explanation": "\"1 man ' s 1 day work = 1 / 100 ( 10 men + 15 women ) ' s 1 day work = 1 / 4 15 women ' s 1 day work = ( 1 / 4 - 10 / 100 ) = 3 / 20 1 woman ' s 1 day work = 1 / 100 1 woman alone can complete the work in 100 days . answer : a\"" + }, + { + "Answer": 158.4, + "Options": "a ) 158.210 m , b ) 704 m , c ) 153.256 m , d ) 158.256 m , e ) 204 m", + "Correct": "d", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 200 resolutions . = 200 * 2 * 22 / 7 * 12.6 = 15825.6 cm = 158.256 m answer : d\"" + }, + { + "Answer": 4.5, + "Options": "['a ) 2.5 m', 'b ) 3.5 m', 'c ) 1.5 m', 'd ) 4.5 m', 'e ) 5.5 m']", + "Correct": "d", + "Explanation": "2 ( 7.5 + 3.5 ) \u00d7 h = 99 2 ( 11 ) h = 99 22 h = 99 h = 99 / 22 = 9 / 2 = 4.5 m answer is d ." + }, + { + "Answer": 12.080402010050252, + "Options": "a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", + "Correct": "b", + "Explanation": "the answer is 12 rows . if 59 schools send 34 students each , then we can sit at most 5 groups of students in the same row , so we will need 12 rows . next , 12 rows are sufficient . assume that this is not the case . suppose the groups of students are seated like this : first the largest group , then the second largest group , then the third largest group , etc . suppose we run out of space - there are not enough seats in any row to seat together the next group . suppose the first group that can not be seated together is the kth group and it consists of n students . then k 61 since any row fits at least 5 groups . also , n 2006 / k 2006 / 61 < 33 ( all groups already seated are no smaller than the kth group ) . so , n 32 . since there is not enough space in any of the 12 rows to seat the kth group , then there must be at least 168 students seated in each of the 12 rows . now , 12 \u00d7 168 = 2016 > 2006 a contradiction . so , 12 rows are sufficient . correct answer b" + }, + { + "Answer": 184, + "Options": "a ) 184 , b ) 176 , c ) 175 , d ) 96 , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : let the length of train be l m . acc . to question ( 276 + l ) / 20 = l / 8 2208 + 8 l = 20 l l = 2208 / 12 = 184 m answer a\"" + }, + { + "Answer": 153600, + "Options": "['a ) 1536 m 2', 'b ) 15360 m 2', 'c ) 153600 m 2', 'd ) 163600 m 2', 'e ) none of these']", + "Correct": "c", + "Explanation": "perimeter = distance covered in 8 min = ( 12000 / 60 * 8 ) m = 1600 m let , length = 3 x meters and breadth = 2 x meters then , 2 ( 3 x + 2 x ) = 1600 or x = 160 therefore , length = 480 m and breadth = 320 m therefore , area = ( 480 * 320 ) m 2 = 153600 m 2 answer : c" + }, + { + "Answer": 27, + "Options": "a ) 17 days , b ) 12 days , c ) 29 days , d ) 25 days , e ) 27 days", + "Correct": "e", + "Explanation": "\"wc = 2 : 1 2 x + x = 1 / 9 x = 1 / 27 = > 27 days answer : e\"" + }, + { + "Answer": 44, + "Options": "a ) 24 . , b ) 32 . , c ) 36 . , d ) 42 . , e ) 44 .", + "Correct": "e", + "Explanation": "\"let the time taken be = x one way distance = 66 x total distance traveled = 2 * 66 x = 132 x total time taken = x + 2 x = 3 x average speed = 132 x / 3 x = 44 answer : e\"" + }, + { + "Answer": 8, + "Options": "a ) 3 , b ) 4 , c ) 5 , d ) 6 , e ) 8", + "Correct": "e", + "Explanation": "32 / ( 2 * 2 ) = 8 days answer : e" + }, + { + "Answer": 15, + "Options": "a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30", + "Correct": "b", + "Explanation": "\"10 * 6 = 4 * x x = 15 answer : b\"" + }, + { + "Answer": 240.01919999999998, + "Options": "a ) 240 , b ) 250 , c ) 260 , d ) 230 , e ) 220", + "Correct": "a", + "Explanation": "\"speed of the train = 54 km / hr = ( 54 \u00d7 10 ) / 36 m / s = 15 m / s length of the train = speed \u00d7 time taken to cross the man = 15 \u00d7 20 = 300 m let the length of the platform = l time taken to cross the platform = ( 300 + l ) / 15 = > ( 300 + l ) / 15 = 36 = > 300 + l = 15 \u00d7 36 = 540 = > l = 540 - 300 = 240 meter answer is a .\"" + }, + { + "Answer": 400, + "Options": "a ) 400 m , b ) 200 m , c ) 100 m , d ) 89 m , e ) 79 m", + "Correct": "a", + "Explanation": "more days , more length ( direct ) less breadth , more length ( indirect ) more depth , less length ( indirect days 10 : 30 ; breadth 25 : 50 ; : : 100 : x depth 15 : 10 ; : . 10 * 25 * 15 * x = 30 * 50 * 10 * 100 x = ( 30 * 50 * 10 * 100 ) / 10 * 25 * 15 = 400 so the required length = 400 m answer : a" + }, + { + "Answer": 98, + "Options": "a ) 40 m , b ) 64 m , c ) 77 m , d ) 89 m , e ) 98 m", + "Correct": "e", + "Explanation": "\"explanation : let the required length be x metres more men , more length built ( direct proportion ) less days , less length built ( direct proportion ) men 20 : 35 days 3 : 3 : : 56 : x therefore ( 20 x 3 x x ) = ( 35 x 3 x 56 ) x = ( 35 x 3 x 56 ) / 60 = 98 hence , the required length is 98 m . answer : e\"" + }, + { + "Answer": 275, + "Options": "a ) 298 m , b ) 275 m , c ) 208 m , d ) 988 m , e ) 299 m", + "Correct": "b", + "Explanation": "\"speed = 110 * 5 / 18 = 275 / 9 m / sec length of the train = speed * time = 275 / 9 * 9 = 275 m answer : b\"" + }, + { + "Answer": 42, + "Options": "a ) 42 minutes , b ) 14 minutes , c ) 39 minutes , d ) 40 minutes 20 seconds , e ) none of these", + "Correct": "a", + "Explanation": "\"in one cycle they fill 40 + 30 - 20 = 50 liters 700 = 50 * n = > n = 14 here n = number of cycles . total time = 14 * 3 = 42 as in one cycle there are 3 minutes . thus 42 minutes answer : a\"" + }, + { + "Answer": 24.000000000000007, + "Options": "a ) 22 days , b ) 21 days , c ) 25 days , d ) 24 days , e ) 23 days", + "Correct": "d", + "Explanation": "here lcm of 12 and 16 is taken as total work . ( becomes easy to solve ) assume total work = 48 units then workdone by ( a + b ) in one day = 48 / 12 = 4 units similarly , by ( b + c ) in one day = 48 / 16 = 3 units now according to question , a works 5 days , b for 7 days and c for 13 days to complete total work so , 5 a + 7 b + 13 c = 48 units 5 ( a + b ) + 2 ( b + c ) + 11 c = 48 units 5 * 4 + 2 * 3 + 11 c = 48 units 11 c = 22 units c = 2 units ( c does 2 units of work daily ) therefore , 48 / 2 = 24 days c requires 24 days to complete the work alone . answer d" + }, + { + "Answer": 4, + "Options": "a ) 6 cm , b ) 4 cm , c ) 8 cm , d ) 3 cm , e ) 9 cm", + "Correct": "b", + "Explanation": "\"volume of the wire ( in cylindrical shape ) is equal to the volume of the sphere . \u03c0 ( 24 ) ^ 2 * h = ( 4 / 3 ) \u03c0 ( 12 ) ^ 3 = > h = 4 cm answer : b\"" + }, + { + "Answer": 1250, + "Options": "a ) 600 , b ) 750 , c ) 1000 , d ) 1250 , e ) none of these", + "Correct": "d", + "Explanation": "\"speed = ( 5 * 5 / 18 ) m / sec = 25 / 18 m / sec . distance covered in 15 minutes = ( 25 / 18 * 15 * 60 ) m = 1250 m . correct option : d\"" + }, + { + "Answer": 8, + "Options": "a ) 5 days , b ) 15 days , c ) 28 days , d ) 8 days , e ) 7 days", + "Correct": "d", + "Explanation": "\"explanation : 1 man \u2019 s 1 day \u2019 s work = 1 / 8 \u00d7 12 = 1 / 96 6 men \u2019 s 1 day \u2019 s work = 1 \u00d7 6 / 96 = 1 / 16 1 woman \u2019 s 1 day \u2019 s work = 1 / 192 4 women \u2019 s 1 day \u2019 s work = 1 / 192 \u00d7 4 = 1 / 48 1 child \u2019 s 1 day \u2019 s work = 1 / 240 10 children \u2019 s 1 day \u2019 s work = 1 / 24 therefore , ( 6 men + 4 women + 10 children ) \u2019 s 1 day \u2019 s work = 1 / 16 + 1 / 48 + 1 / 24 = 1 / 8 the required no . of days = 8 days answer : option d\"" + }, + { + "Answer": 68, + "Options": "a ) 76 kmph , b ) 68 kmph , c ) 87 kmph , d ) 56 kmph , e ) 10 kmph", + "Correct": "b", + "Explanation": "length of the two trains = 600 m + 400 m speed of the first train = x speed of the second train = 48 kmph 1000 / x - 48 = 180 1000 / x - 48 * 5 / 18 = 180 50 = 9 x - 120 x = 68 kmph answer : b" + }, + { + "Answer": 720, + "Options": "a ) 720 , b ) 600 , c ) 650 , d ) 700 , e ) 750", + "Correct": "a", + "Explanation": "\"1 flash = 5 sec for 1 min = 12 flashes so for 1 hour = 12 * 60 = 720 flashes . answer : a\"" + }, + { + "Answer": 20, + "Options": "a ) 17 sec , b ) 16 sec , c ) 20 sec , d ) 14 sec , e ) 12 sec", + "Correct": "c", + "Explanation": "\"speed = 54 * 5 / 18 = 15 m / sec time taken = 300 * 1 / 15 = 20 sec answer : c\"" + }, + { + "Answer": 3, + "Options": "a ) 2 . , b ) 4 . , c ) 5 . , d ) 6 , e ) 3 .", + "Correct": "e", + "Explanation": "\"total work = 15 * 4 = 60 beaver hours 20 beaver * x = 60 beaver hours x = 60 / 20 = 3 answer : e\"" + }, + { + "Answer": 266, + "Options": "a ) 178 cm 2 , b ) 179 cm 2 , c ) 266 cm 2 , d ) 167 cm 2 , e ) 197 cm 2", + "Correct": "c", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 14 ) = 266 cm 2 answer : c\"" + }, + { + "Answer": 150, + "Options": "a ) 150 km , b ) 200 km , c ) 250 km , d ) 125 km , e ) 155 km", + "Correct": "a", + "Explanation": "p ___ 50 _____ r ___ 50 _____ s ____ 50 ___ q the above figure gives the locations of p , r , s & q in relation to each other . answer : a" + }, + { + "Answer": 50, + "Options": "a ) 30 m . , b ) 40 m . , c ) 60 m . , d ) 50 m . , e ) 70 m .", + "Correct": "d", + "Explanation": "\"let the length of the train be x meters and its speed be y m / sec . they , x / y = 10 = > y = x / 10 x + 50 / 20 = x / 10 x = 50 m . answer : option d\"" + }, + { + "Answer": 54, + "Options": "a ) 30 min , b ) 35 min , c ) 45 min , d ) 50 min , e ) 54 min", + "Correct": "e", + "Explanation": "\"there are 9 hours in between 9 a . m . to 6 p . m . 9 * 6 = 54 minutes . answer : e\"" + }, + { + "Answer": 400, + "Options": "a ) 300 , b ) 400 , c ) 500 , d ) 600 , e ) 700", + "Correct": "b", + "Explanation": "2 ( l + 300 ) = 1400 = > l = 400 m answer : b" + }, + { + "Answer": 36, + "Options": "a ) 30 km / hr , b ) 36 km / hr , c ) 80 km / hr , d ) 90 km / hr , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : distance covered = 120 + 120 = 240 m time = 12 s let the speed of each train = x . then relative velocity = x + x = 2 x 2 x = distance / time = 240 / 12 = 20 m / s speed of each train = x = 20 / 2 = 10 m / s = 10 * 18 / 5 km / hr = 36 km / hr option b\"" + }, + { + "Answer": 833, + "Options": "a ) 833 , b ) 765 , c ) 665 , d ) 679 , e ) 874", + "Correct": "a", + "Explanation": "step one : first you want to make 3 trips of 1,000 grapes 333 kilometers . you will be left with 2,001 grapes and 667 kilometers to go . step two : next you want to take 2 trips of 1,000 grapes 500 kilometers . you will be left with 1,000 grapes and 167 kilometers to go ( you have to leave a grape behind ) . step three : finally , you travel the last 167 kilometers with one load of 1,000 grapes and are left with 833 grapes in appleland . correct answer is a ) 833" + }, + { + "Answer": 180, + "Options": "a ) 180 km , b ) 127 km , c ) 178 km , d ) 188 km , e ) 111 km", + "Correct": "a", + "Explanation": "\"explanation : speed in downstream = ( 14 + 4 ) km / hr = 18 km / hr ; speed in upstream = ( 14 \u00e2 \u20ac \u201c 4 ) km / hr = 10 km / hr . let the distance between a and b be x km . then , x / 18 + ( x / 2 ) / 10 = 19 \u00e2 \u2021 \u201d x / 18 + x / 20 = 19 \u00e2 \u2021 \u2019 x = 180 km . answer : a\"" + }, + { + "Answer": 50.99688024958003, + "Options": "a ) 19 , b ) 27 , c ) 51 , d ) 47 , e ) 28", + "Correct": "c", + "Explanation": "\"let the length of the train be x m . when a train crosses an electric pole , the distance covered is its own length . so , x = 12 * 36 * 5 / 18 m = 120 m . time taken to cross the platform = ( 120 + 390 ) / 36 * 5 / 18 = 51 min . answer : c\"" + }, + { + "Answer": 21, + "Options": "a ) 10 days , b ) 11 days , c ) 13 days , d ) 15 days , e ) 21 days", + "Correct": "e", + "Explanation": "\"8 men = 12 women ( i . e 2 men = 3 women ) 12 women 1 day work = 1 / 35 soln : 6 men ( 9 women ) + 11 women = 20 women = ? 1 women 1 day work = 12 * 35 = 1 / 420 so , 20 women work = 20 / 420 = 1 / 21 ans : 21 days answer : e\"" + }, + { + "Answer": 0.3, + "Options": "a ) 18 / 50 , b ) 16 / 50 , c ) 3 / 10 , d ) 19 / 50 , e ) none", + "Correct": "c", + "Explanation": "answer 0.30 = 30 / 100 = 3 / 10 correct option : c" + }, + { + "Answer": 7, + "Options": "a ) 8 , b ) 7 , c ) 5 , d ) 2 , e ) 4", + "Correct": "b", + "Explanation": "\"30 - - - 3 ds = 10 ? - - - - 1 12 - - - - 3 us = 4 ? - - - - 1 m = ? m = ( 10 + 4 ) / 2 = 7 answer : b\"" + }, + { + "Answer": 44, + "Options": "a ) 47 , b ) 76 , c ) 44 , d ) 66 , e ) 11", + "Correct": "c", + "Explanation": "\"explanation : for ticking 6 times , there are 5 intervals . each interval has time duration of 20 / 5 = 4 secs at 12 o ' clock , there are 11 intervals , so total time for 11 intervals = 11 \u00d7 4 = 44 secs . answer : c\"" + }, + { + "Answer": 70.02817496043394, + "Options": "a ) 84 m , b ) 88 m , c ) 120 m , d ) 70 m , e ) none", + "Correct": "d", + "Explanation": "\"sol . let the length of the wire b h . radius = 1 / 2 mm = 1 / 20 cm . then , 22 / 7 * 1 / 20 * 1 / 20 * h = 55 \u21d4 = [ 55 * 20 * 20 * 7 / 22 ] = 7000 cm = 70 m . answer d\"" + }, + { + "Answer": 4.8, + "Options": "a ) 4.8 , b ) 3.6 , c ) 1.1 , d ) 1.2 , e ) 1.3", + "Correct": "a", + "Explanation": "\"3 pumps take 16 hrs total ( 8 hrs a day ) if 1 pump will be working then , it will need 16 * 3 = 48 hrs 1 pump need 48 hrs if i contribute 10 pumps then 48 / 10 = 4.8 hrs . answer : a\"" + }, + { + "Answer": 120, + "Options": "a ) 80 % , b ) 90 % , c ) 100 % , d ) 110 % , e ) 120 %", + "Correct": "e", + "Explanation": "\"the radius of tank a is 12 / ( 2 * pi ) . the capacity of tank a is 10 * pi * 144 / ( 4 * pi ^ 2 ) = 360 / ( pi ) the radius of tank b is 10 / ( 2 * pi ) . the capacity of tank b is 12 * pi * 100 / ( 4 * pi ^ 2 ) = 300 / ( pi ) tank a / tank b = 360 / 300 = 12 / 10 = 120 % the answer is e .\"" + }, + { + "Answer": 58.666666666666664, + "Options": "a ) 60 ft , b ) 52 ft , c ) 53 ft , d ) 55 ft , e ) 58.65 ft", + "Correct": "e", + "Explanation": "\"per second = > 8 * 5280 ft / 60 * 60 = 11.73 ft 5 seconds = > 11.73 * 5 = 58.65 ft answer : e\"" + }, + { + "Answer": 24, + "Options": "a ) 16 , b ) 18 , c ) 20 , d ) 22 , e ) 24", + "Correct": "e", + "Explanation": "\"30 * t = 1 km = > t = 1 / 30 km / h v * ( t + 30 / 3600 ) = 1 v ( 1 / 30 + 30 / 3600 ) = 1 v ( 150 / 3600 ) = 1 v = 24 km / h the answer is e .\"" + }, + { + "Answer": 46, + "Options": "a ) 43 , b ) 44 , c ) 45 , d ) 40 , e ) 46", + "Correct": "e", + "Explanation": "26 steps 30 seconds and for 34 steps only 18 seconds left to reach botto . means he covered 8 steps ( i . e . 34 - 26 ) in 12 ( i . e 30 - 18 ) seconds the spped of the boy is 8 steps in 12 seconds after further simplyfy . . 2 steps in 3 seconds after 34 steps only 18 seconds , means 12 more steps are left total steps are 34 + 12 = 46 answer : e" + }, + { + "Answer": 0.6428571428571429, + "Options": "a ) 6 / 11 , b ) 7 / 12 , c ) 8 / 13 , d ) 9 / 14 , e ) 11 / 15", + "Correct": "d", + "Explanation": "let x be the number of workers on the day crew . let y be the number of boxes loaded by each member of the day crew . then the number of boxes loaded by the day crew is xy . the number of boxes loaded by the night crew is ( 5 x / 6 ) ( 2 y / 3 ) = 5 xy / 9 the total number of boxes is xy + 5 xy / 9 = 14 xy / 9 the fraction loaded by the day crew is xy / ( 14 xy / 9 ) = 9 / 14 the answer is d ." + }, + { + "Answer": 150.012, + "Options": "a ) 281 m , b ) 112 m , c ) 117 m , d ) 125 m , e ) 150 m", + "Correct": "e", + "Explanation": "\"e e = 90 * 5 / 18 * 6 = 150 m\"" + }, + { + "Answer": 44, + "Options": "a ) 22 hours , b ) 30 hours , c ) 44 hours , d ) 60 hours , e ) it can not be determined from the information above .", + "Correct": "c", + "Explanation": "say the rates of machines a , b and c are a , b , and c , respectively . together 15 type a machines and 7 type b machines can complete a certain job in 4 hours - - > 15 a + 7 b = 1 / 4 ; together 8 type b machines and 15 type c machines can complete the same job in 11 hours - - > 8 b + 15 c = 1 / 11 . sum the above : 15 a + 15 b + 15 c = 1 / 4 + 1 / 11 = 15 / 44 - - > reduce by 15 : a + b + c = 1 / 44 - - > so , the combined rate of the three machines is 1 / 44 job / hour - - > time is reciprocal of the rate , thus machines a , b and c can do the job e in 44 hours . answer : c ." + }, + { + "Answer": 10, + "Options": "a ) 5 hrs , b ) 10 hrs , c ) 15 hrs , d ) 20 hrs , e ) 30 hrs", + "Correct": "b", + "Explanation": "\"1 hour he walk 4 km he walk 40 km in = 40 / 4 * 1 = 10 hours answer is b\"" + }, + { + "Answer": 1.9999999999999996, + "Options": "a ) 2 , b ) 4 , c ) 6 , d ) 8 , e ) 10", + "Correct": "a", + "Explanation": "\"dan can complete 1 / 15 of the job per hour . in 12 hours , dan completes 12 ( 1 / 15 ) = 4 / 5 of the job . annie can complete 1 / 10 of the job per hour . to complete the job , annie will take 1 / 5 / 1 / 10 = 2 hours . the answer is a .\"" + }, + { + "Answer": 405, + "Options": "a ) 150 meter , b ) 286 meter , c ) 186 meter , d ) 405 meter , e ) 265 meter", + "Correct": "d", + "Explanation": "\"speed = 162 * ( 5 / 18 ) m / sec = 45 m / sec length of train ( distance ) = speed * time ( 45 ) * 9 = 405 meter answer : d\"" + }, + { + "Answer": 7200.000000000002, + "Options": "a ) 5729 , b ) 5760 , c ) 7200 , d ) 2870 , e ) 2799", + "Correct": "c", + "Explanation": "\"1 / x - 1 / 6 = - 1 / 8 x = 24 hrs 24 * 60 * 5 = 7200 . answer : c\"" + }, + { + "Answer": 7.932222222222222, + "Options": "a ) 2.21 , b ) 2.48 , c ) 9.24 , d ) 7.29 , e ) 7.94", + "Correct": "e", + "Explanation": "\"m = 9 s = 3.1 ds = 12.1 us = 5.9 x / 12.1 + x / 5.9 = 1 x = 3.97 d = 3.97 * 2 = 7.94 answer : e\"" + }, + { + "Answer": 7.5, + "Options": "a ) 5 minutes , b ) 6 minutes , c ) 8 minutes , d ) 9 minutes , e ) 15 / 2 minutes", + "Correct": "e", + "Explanation": "\"let ' s say the distance between the buses is d . we want to determine interval = \\ frac { d } { b } , where b is the speed of bus . let the speed of cyclist be c . every 15 minutes a bus overtakes cyclist : \\ frac { d } { b - c } = 15 , d = 15 b - 15 c ; every 5 minutes cyclist meets an oncoming bus : \\ frac { d } { b + c } = 4 , d = 4 b + 4 c ; d = 15 b - 15 c = 5 b + 5 c , - - > b = 2 c , - - > d = 15 b - 15 b / 2 = 15 b / 2 . interval = \\ frac { d } { b } = \\ frac { 15 / 2 b } { b } = 15 / 2 answer : e ( 15 / 2 minutes ) .\"" + }, + { + "Answer": 6, + "Options": "a ) 5 hours , b ) 3 hours , c ) 6 hours , d ) 12 hours , e ) 15 hours", + "Correct": "c", + "Explanation": "at 3 / 4 th of speed he is late by ' 2 hrs ' x - 3 / 4 ( x ) = 2 x = 8 so 8 - 2 = 6 hrs ( since 2 hrs late ) answer : c" + }, + { + "Answer": 21, + "Options": "a ) 19 , b ) 21 , c ) 23 , d ) 25 , e ) 27", + "Correct": "b", + "Explanation": "\"ac = 11 and ab = 5 , so bc = 6 . bc = 2 cd so cd = 3 . the length of ae is ab + bc + cd + de = 5 + 6 + 3 + 7 = 21 the answer is b .\"" + }, + { + "Answer": 8.3993280537557, + "Options": "a ) 5.8 sec , b ) 8.4 sec , c ) 12.4 sec , d ) 6.8 sec , e ) 1.8 sec", + "Correct": "b", + "Explanation": "\"b 16.8 sec d = 60 + 80 = 140 m s = 60 * 5 / 18 = 50 / 3 t = 140 * 3 / 50 = 8.4 sec answer is b\"" + }, + { + "Answer": 6400, + "Options": "a ) 6400 , b ) 3777 , c ) 2679 , d ) 2667 , e ) 1997", + "Correct": "a", + "Explanation": "\"to solve this type of question , simply divide the volume of wall with the volume of brick to get the numbers of required bricks so lets solve this number of bricks = volume of wall / volume of 1 brick = 800 \u2217 600 \u2217 22.5 / 25 \u2217 11.25 \u2217 6 = 6400 answer : a\"" + }, + { + "Answer": 89, + "Options": "a ) 22 , b ) 89 , c ) 90 , d ) 78 , e ) 80", + "Correct": "b", + "Explanation": "\"sp of 1 m of cloth = 9000 / 80 = rs . 112.5 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 112.5 - rs . 23.5 = rs . 89 . answer : b\"" + }, + { + "Answer": 2.1, + "Options": "a ) 1.5 , b ) 1.8 , c ) 2.1 , d ) 2.4 , e ) 2.7", + "Correct": "c", + "Explanation": "\"let x be the distance to big rock . time = x / 3 + x / 7 = 1 x = 21 / 10 = 2.1 km the answer is c .\"" + }, + { + "Answer": 24000, + "Options": "a ) 29798 , b ) 27908 , c ) 24000 , d ) 25000 , e ) 27991", + "Correct": "c", + "Explanation": "\"24 * 2 * 0.75 = 20 / 100 * 10 / 100 * 7.5 / 100 * x 24 = 1 / 100 * x = > x = 24000 answer : c\"" + }, + { + "Answer": 157.5, + "Options": "a ) 18 , b ) 157 , c ) 175 , d ) 216 , e ) 250", + "Correct": "b", + "Explanation": "\"total paint initially = 360 gallons paint used in the first week = ( 1 / 4 ) * 360 = 90 gallons . remaning paint = 270 gallons paint used in the second week = ( 1 / 4 ) * 270 = 67 gallons total paint used = 157 gallons . option b\"" + }, + { + "Answer": 45, + "Options": "a ) 56 , b ) 45 , c ) 47 , d ) 26 , e ) 25", + "Correct": "b", + "Explanation": "\"explanation : relative speed = 70 + 90 = 160 km / hr ( since both trains are moving in opposite directions ) total distance = 1.1 + . 9 = 2 km time = 2 / 160 hr = 1 / 80 hr = 3600 / 80 seconds = = 45 seconds answer : option b\"" + }, + { + "Answer": 45, + "Options": "a ) 25 , b ) 30 , c ) 45 , d ) 20 , e ) none of these", + "Correct": "c", + "Explanation": "\"30 men complete 0.4 work in 25 days . applying the work rule , m 1 \u00d7 d 1 \u00d7 w 2 = m 2 \u00d7 d 2 \u00d7 w 1 we have , 30 \u00d7 25 \u00d7 0.6 = m 2 \u00d7 25 \u00d7 0.4 or m 2 = 30 \u00d7 25 \u00d7 0.6 / 25 \u00d7 0.4 = 45 men answerc\"" + }, + { + "Answer": 108, + "Options": "a ) 122 , b ) 108 , c ) 110 , d ) 150 , e ) 100", + "Correct": "b", + "Explanation": "\"30 * 18 / 5 = 108 kmph answer : b\"" + }, + { + "Answer": 90, + "Options": "a ) 80 , b ) 90 , c ) 30 , d ) 70 , e ) 60", + "Correct": "b", + "Explanation": "\"b 90 sum = ( n x n ) + n hence , 9 x 9 = 81 + 9 = 90\"" + }, + { + "Answer": 40, + "Options": "a ) 40 , b ) 100 , c ) 150 , d ) 240 , e ) 300", + "Correct": "a", + "Explanation": "\"since the population increases at the rate of 1 person every 15 seconds , it increases by 4 people every 60 seconds , that is , by 4 people every minute . thus , in 10 minutes the population increases by 10 x 4 = 40 people . answer . a .\"" + }, + { + "Answer": 110, + "Options": "a ) 75 , b ) 82 , c ) 100 , d ) 110 , e ) 120", + "Correct": "d", + "Explanation": "originally let there be x men . less men , more days ( indirect ) : . ( x - 10 ) : x : : 100 : 110 or x - 10 / x = 100 / 110 or 11 x - 110 = 10 x or x = 110 so , originally there were 110 men . answer : d" + }, + { + "Answer": 23.331466815988055, + "Options": "a ) 17 sec , b ) 21 sec , c ) 23.3 sec , d ) 27.5 sec , e ) 29 sec", + "Correct": "c", + "Explanation": "d = 150 + 200 = 350 s = 54 * 5 / 18 = 15 mps t = 350 / 15 = 23.3 sec c ) 23.3 sec" + }, + { + "Answer": 200, + "Options": "a ) 150 , b ) 200 , c ) 450 , d ) 500 , e ) 600", + "Correct": "b", + "Explanation": "distance is same s 1 t 1 = s 2 t 2 40 t = 50 ( t - 1 ) t = 5 distance = speed * time 40 * 5 = 200 answer : b" + }, + { + "Answer": 4, + "Options": "a ) 2 , b ) 4 , c ) 12 , d ) 40 , e ) 160", + "Correct": "b", + "Explanation": "\"actual miles / gallon is = 480 / 4 = 12 miles / gallon . current engine miles / gallon is 8 miles / gallon . additional 4 miles / gallon is required to match the actual mileage . answer : b\"" + }, + { + "Answer": 13, + "Options": "a ) 22 seconds , b ) 12 seconds , c ) 13 seconds , d ) 18 seconds , e ) 28 seconds", + "Correct": "c", + "Explanation": "b runs 56 m in 7 sec . = > b runs 160 m in 7 / 56 * 160 = 20 seconds since a beats b by 7 seconds , a runs 160 m in ( 20 - 7 ) = 13 seconds hence , a ' s time over the course = 13 seconds answer : c" + }, + { + "Answer": 4.011999999999999, + "Options": "a ) 90 cm , b ) 4 dm , c ) 1 m , d ) 1.1 cm , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : let the thickness of the bottom be x cm . then , [ ( 330 - 10 ) \u00d7 ( 260 - 10 ) \u00d7 ( 140 - x ) ] = 8000 \u00d7 1000 = > 320 \u00d7 250 \u00d7 ( 140 - x ) = 8000 \u00d7 1000 = > ( 140 - x ) = 8000 \u00d7 1000 / 320 = 100 = > x = 40 cm = 4 dm . answer : b\"" + }, + { + "Answer": 23.999999999999996, + "Options": "a ) 5 days , b ) 7 days , c ) 12 days , d ) 24 days , e ) 10 days", + "Correct": "d", + "Explanation": "\"explanation : a \u2019 s 5 day work = 5 * 1 / 15 = 1 / 3 remaining work = 1 - 1 / 3 = 2 / 3 b completes 2 / 3 work in 6 days b alone can do in x days 2 / 3 * x = 16 x = 24 days answer : option d\"" + }, + { + "Answer": 40, + "Options": "a ) 20 seconds , b ) 27 seconds , c ) 30 seconds , d ) 40 seconds , e ) 50 seconds", + "Correct": "d", + "Explanation": "\"speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 360 + 140 = 500 meter time = distance / speed = 500 \u2217 2 / 25 = 40 seconds answer : d\"" + }, + { + "Answer": 25, + "Options": "a ) 25 , b ) 30 , c ) 35 , d ) 40 , e ) 45", + "Correct": "a", + "Explanation": "for the 15 minutes the motor - cyclist continues to overtake the cyclist , she is going at 30 miles per hour faster than the cyclist . once the motor - cyclist stops , the cyclist is going at 18 miles per hour while the motor - cyclist is at rest so the amount of time the cyclist will take to cover the distance between them is going to be in the ratio of the relative speeds . 30 / 18 * 15 or 25 minutes answer is ( a )" + }, + { + "Answer": 7.5, + "Options": "a ) 7.5 , b ) 2.6 , c ) 3.9 , d ) 8.2 , e ) 2.7", + "Correct": "a", + "Explanation": "\"distance = 500 meter time = 4 minutes = 4 x 60 seconds = 240 seconds speed = distance / time = 500 / 240 = 2.08 m / s = 2.08 \u00e3 \u2014 18 / 5 km / hr = 7.5 km / hr answer : a\"" + }, + { + "Answer": 200, + "Options": "a ) 227 , b ) 247 , c ) 200 , d ) 277 , e ) 121", + "Correct": "c", + "Explanation": "\"2 ( l + 100 ) = 600 = > l = 200 m answer : c\"" + }, + { + "Answer": 45, + "Options": "a ) 65 , b ) 60 , c ) 55 , d ) 50 , e ) 45", + "Correct": "e", + "Explanation": "let x = length of pool at first meeting , combined distance = x at second meeting , combined distance = 3 x if andy swims 18.5 m of x , then he will swim 3 * 18.5 = 55.5 m of 3 x andy ' s total distance to second meeting = x + 10.5 m x + 10.5 = 55.5 m x = 45 m e" + }, + { + "Answer": 8, + "Options": "a ) 5 kmph , b ) 6 kmph , c ) 6.25 kmph , d ) 7.5 kmph , e ) 8 kmph", + "Correct": "e", + "Explanation": "\"let abhay ' s speed be x km / hr . then , 48 / x - 48 / 2 x = 3 6 x = 48 x = 8 km / hr . answer : option e\"" + }, + { + "Answer": 552, + "Options": "a ) 550 , b ) 500 , c ) 552 , d ) 560 , e ) 580", + "Correct": "c", + "Explanation": "dist 1 st hr = 35 km speed of bus by 2 kmph 2 nd hr = 37 km 3 rd hr = 39 km tot = 35 + 37 + 39 + . . . . ( 12 terms ) 12 / 2 ( 2 * 35 + ( 12 - 1 ) 2 ] = 6 * 92 = 552 answer c" + }, + { + "Answer": 5, + "Options": "a ) 6 , b ) 8 , c ) 2 , d ) 5 , e ) 4", + "Correct": "d", + "Explanation": "explanation : mary and her sister complete half work in 2.5 days = > they can complete whole work in 5 days answer : option d" + }, + { + "Answer": 480, + "Options": "a ) 400 , b ) 440 , c ) 480 , d ) 520 , e ) 560", + "Correct": "c", + "Explanation": "total distance traveled = 1200 km . distance traveled by plane = 400 km . distance traveled by bus = x distance traveled by train = 2 x / 3 x + 2 x / 3 + 400 = 1200 5 x / 3 = 800 x = 480 km the answer is c ." + }, + { + "Answer": 10, + "Options": "a ) 12 , b ) 15 , c ) 8 , d ) 10 , e ) 11", + "Correct": "d", + "Explanation": "( a + b ) work in 1 day = 1 / 20 , ( b + c ) work in 1 days = 1 / 15 . , ( c + a ) work in 1 days = 1 / 12 ( 1 ) adding = 2 [ a + b + c ] in 1 day work = [ 1 / 20 + 1 / 15 + 1 / 12 ] = 1 / 5 ( a + b + c ) work in 1 day = 1 / 10 so , all three together finish work in 10 days answer d" + }, + { + "Answer": 300.024, + "Options": "a ) 300 , b ) 125 , c ) 288 , d ) 266 , e ) 121", + "Correct": "a", + "Explanation": "d = 180 * 5 / 18 * 6 = 300 m answer : a" + }, + { + "Answer": 36, + "Options": "a ) 36 days , b ) 32 days , c ) 19 days , d ) 17 days , e ) 18 days", + "Correct": "a", + "Explanation": "lcm = 180 , ratio = 60 : 90 = 2 : 3 no of days = 180 / ( 2 + 3 ) = 180 / 5 = 36 days answer : a" + }, + { + "Answer": 660, + "Options": "a ) 600 . , b ) 630 . , c ) 660 . , d ) 690 . , e ) 720 .", + "Correct": "c", + "Explanation": "distance = speed * time d 1 = s 1 t 1 d 2 = s 2 t 2 the distance from point a to point b is the same for each trip so , d 1 = d 2 and t 2 = t 1 - 5 thus , s 1 t 1 = s 2 t 2 60 t 1 = s 2 ( t 1 - 5 ) t 1 = 11 60 * 11 = 660 answer : c" + }, + { + "Answer": 24, + "Options": "a ) 38 metre , b ) 28 metre , c ) 24 metre , d ) 15 metre , e ) 28 metre", + "Correct": "c", + "Explanation": "\"clearly , a beats b by 4 seconds now find out how much b will run in these 4 seconds speed of b = distance / time taken by b = 192 / 32 = 6 m / s distance covered by b in 4 seconds = speed \u00e3 \u2014 time = 6 \u00e3 \u2014 4 = 24 metre i . e . , a beat b by 24 metre answer is c\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , 3 , b ) 4 , 4 , c ) 3 , 3 , d ) 4 , 5 , e ) 4 , 2", + "Correct": "e", + "Explanation": "\"explanation : if x : speed of boats man in still water y : speed of the river downstream speed ( ds ) = x + y upstream speed ( us ) = x \u00e2 \u20ac \u201c y x = ( ds + us ) / 2 y = ( ds \u00e2 \u20ac \u201c us ) / 2 in the above problem ds = 6 ; us = 2 x = ( 6 + 2 ) / 2 = 8 / 2 = 4 km / hr y = ( 6 - 2 ) / 2 = 4 / 2 = 2 km / hr answer : e\"" + }, + { + "Answer": 100, + "Options": "a ) 150 , b ) 278 , c ) 100 , d ) 776 , e ) 191", + "Correct": "c", + "Explanation": "\": speed = 60 * ( 5 / 18 ) m / sec = 50 / 3 m / sec length of train ( distance ) = speed * time ( 50 / 3 ) * 6 = 100 meter answer : c\"" + }, + { + "Answer": 13, + "Options": "a ) 25 days , b ) 13 days , c ) 14 days , d ) 20 days , e ) 15 days", + "Correct": "b", + "Explanation": "\"the ratio of times taken by a and b = 100 : 130 = 10 : 13 suppose b can do work in x days then 10 : 13 : : 23 : x x = ( 23 * 13 ) / 10 x = 299 / 10 a ' s 1 day ' s work = 1 / 23 b ' s 1 day ' s work = 10 / 299 ( a + b ) ' s 1 day ' s work = 1 / 23 + 10 / 299 = 23 / 299 = 1 / 13 a and b together can do work in 13 days answer ( b )\"" + }, + { + "Answer": 131.94689145077132, + "Options": "a ) 131.95 , b ) 132.9 , c ) 140.33 , d ) 123.4 , e ) 190.4", + "Correct": "a", + "Explanation": "\"2 * 22 / 7 * 6 = 37.7 37.7 * 3 1 / 2 = rs . 131.95 answer : a\"" + }, + { + "Answer": 1122, + "Options": "a ) 1800 , b ) 1820 , c ) 1150 , d ) 1122 , e ) 1900", + "Correct": "d", + "Explanation": "the total number of stations = 34 from 34 stations we have to choose any two stations and the direction of travel ( ernakulam to chennai is different from chennai to ernakulam ) in 34 p 2 ways . 34 p 2 = 34 * 33 = 1122 answer : d" + }, + { + "Answer": 19, + "Options": "a ) 19 , b ) 21 , c ) 23 , d ) 25 , e ) 27", + "Correct": "a", + "Explanation": "\"ac = 11 and ab = 5 , so bc = 6 . bc = 2 cd so cd = 3 . the length of ae is ab + bc + cd + de = 5 + 6 + 3 + 5 = 19 the answer is a .\"" + }, + { + "Answer": 36, + "Options": "a ) 38 metre , b ) 28 metre , c ) 23 metre , d ) 15 metre , e ) 36 metre", + "Correct": "e", + "Explanation": "\"clearly , a beats b by 4 seconds now find out how much b will run in these 4 seconds speed of b = distance / time taken by b = 288 / 32 = 9 m / s distance covered by b in 4 seconds = speed \u00e3 \u2014 time = 9 \u00e3 \u2014 4 = 36 metre i . e . , a beat b by 36 metre answer is e\"" + }, + { + "Answer": 320, + "Options": "a ) 170 m , b ) 100 m , c ) 270 m , d ) 320 m , e ) 350 m", + "Correct": "d", + "Explanation": "\"explanation : relative speed = ( 72 - 36 ) x 5 / 18 = 2 x 5 = 10 mps . distance covered in 32 sec = 32 x 10 = 320 m . the length of the faster train = 320 m . answer is d\"" + }, + { + "Answer": 12, + "Options": "a ) 12 days . , b ) 17 days . , c ) 18 days . , d ) 19 days . , e ) 20 days .", + "Correct": "a", + "Explanation": "\"they together completed 4 / 10 work in 4 days . balance 6 / 10 work will be completed by arun alone in 20 * 6 / 10 = 12 days . answer : a\"" + }, + { + "Answer": 40, + "Options": "a ) 42 , b ) 48 , c ) 44 , d ) 50 , e ) 40", + "Correct": "e", + "Explanation": "\"let the speed of bus be v - 20 , speed of taxi be v the bus travelled a total of 4 hrs and taxi a total of 2 hrs . hence 4 * ( v - 20 ) = 2 v 4 v - 80 = 2 v 2 v = 80 v = 40 mph e\"" + }, + { + "Answer": 24, + "Options": "a ) 20 sec , b ) 15 sec , c ) 30 sec , d ) 24 sec , e ) 1 min", + "Correct": "d", + "Explanation": "\"they meet every 360 / 7 + 8 = 24 sec answer is d\"" + }, + { + "Answer": 60, + "Options": "a ) 40 kmph , b ) 50 kmph , c ) 60 kmph , d ) 75 kmph , e ) 860 kmph", + "Correct": "c", + "Explanation": "\"time = 6 distence = 540 3 / 2 of 6 hours = 6 * 3 / 2 = 9 hours required speed = 540 / 9 = 60 kmph c )\"" + }, + { + "Answer": 30.68181818181818, + "Options": "a ) 30.68 , b ) 32.34 , c ) 34.56 , d ) 36.72 , e ) 38.95", + "Correct": "a", + "Explanation": "\"90 feet / 2 seconds = 45 feet / second ( 45 feet / second ) * ( 3600 seconds / hour ) * ( 1 mile / 5280 feet ) = 30.68 ( approximately ) the answer is a .\"" + }, + { + "Answer": 650, + "Options": "a ) 250 , b ) 425 , c ) 650 , d ) 700 , e ) 750", + "Correct": "c", + "Explanation": "\"machine a can produce 100 * 30 / 15 = 200 copies and , machine b can produce 150 * 30 / 10 = 450 copies total producing 650 copies . c is the answer\"" + }, + { + "Answer": 28, + "Options": "a ) 60 , b ) 28 , c ) 40 , d ) 50 , e ) 25", + "Correct": "b", + "Explanation": "\"original number of men = 8 * 28 / ( 28 - 20 ) = 28 answer is b\"" + }, + { + "Answer": 16, + "Options": "a ) 22 days , b ) 30 days , c ) 23 days , d ) 16 days , e ) 17 days", + "Correct": "d", + "Explanation": "one man can consume the same food in 40 * 20 = 800 days . 10 more men join , the total number of men = 50 the number of days the food will last = 800 / 50 = 16 days . answer : d" + }, + { + "Answer": 576, + "Options": "['a ) 133 cm 2', 'b ) 276 cm 2', 'c ) 2500 cm 2', 'd ) 576 cm 2', 'e ) none of these']", + "Correct": "d", + "Explanation": "let the side of the square be x m . \u2234 perimeter of the square = 48 \u00d7 2 = 4 x \u2234 x = 24 m \u2234 area = ( 24 ) 2 = 576 m 2 answer d" + }, + { + "Answer": 48, + "Options": "a ) 40 , b ) 42 , c ) 44 , d ) 46 , e ) 48", + "Correct": "e", + "Explanation": "\"relative speed = 60 + 90 = 150 km / hr ( since both trains are moving in opposite directions ) total distance = 1.1 + . 9 = 2 km time = 2 / 150 hr = 1 / / 75 hr = 3600 / 75 seconds = 1200 / 25 = 240 / 5 = 48 seconds answer is e .\"" + }, + { + "Answer": 10, + "Options": "a ) 5 , b ) 30 , c ) 10 , d ) 12 , e ) 15", + "Correct": "c", + "Explanation": "speed = 4.5 * 5 / 18 = 1.25 m / sec time taken = 750 / 1.25 = 600 sec ie . 10 mins . answer : c" + }, + { + "Answer": 192, + "Options": "a ) 182 kmph , b ) 192 kmph , c ) 193 kmph , d ) 196 kmph , e ) 190 kmph", + "Correct": "b", + "Explanation": "pony take 20 hours and horse take 12 hours . . . then distance chased by them is 320 * 12 . so speed of pony is ( 320 * 12 ) / 20 = 192 kmph . answer is b" + }, + { + "Answer": 11.999999999999996, + "Options": "a ) 13 , b ) 17 , c ) 42 , d ) 15 , e ) 12", + "Correct": "e", + "Explanation": "\"whole trip = distance by foot + distance by bus + distance by car x = 1 / 2 x + 3 / 5 x + 5 x - 1 / 2 x - 3 / 5 x = 5 x = 12 km option : e\"" + }, + { + "Answer": 5.5, + "Options": "a ) 8 mph , b ) 5.5 mph , c ) 3.5 mph , d ) 4 mph , e ) 0.5 mph", + "Correct": "b", + "Explanation": "( 1 mph + 10 mph ) / 2 = 5.5 mph correct option is : b" + }, + { + "Answer": 240, + "Options": "a ) 240 , b ) 230 , c ) 260 , d ) 220 , e ) 340", + "Correct": "a", + "Explanation": "let the distance travelled be x km . total time = ( x / 2 ) / 40 + ( x / 2 ) / 10 = 15 = > x / 80 + x / 20 = 15 = > ( x + 4 x ) / 80 = 15 = > x = 240 km answer : a" + }, + { + "Answer": 12, + "Options": "a ) 11 hours , b ) 12 hours , c ) 15 hours , d ) 16 hours , e ) 17 hours", + "Correct": "b", + "Explanation": "the part of the tank filled by three pipes in one hour = 1 / 8 = > the part of the tank filled by two pipes in 1 hour = 2 / 3 * 1 / 8 = 1 / 12 . the tank can be filled in 12 hours . answer : b" + }, + { + "Answer": 720.0000000000002, + "Options": "a ) 720 , b ) 600 , c ) 660 , d ) 6000 , e ) none of these", + "Correct": "a", + "Explanation": "explanation : let the number of bricks be ' n ' 10 x 4 / 100 x 6 x 90 / 100 = 25 / 100 x 15 / 100 x 8 / 100 x n 10 x 4 x 6 x 90 = 15 x 2 x n = > n = 720 . answer is a" + }, + { + "Answer": 16, + "Options": "a ) 12 , b ) 14 , c ) 15 , d ) 16 , e ) 20", + "Correct": "d", + "Explanation": "hcf x lcm = product of numbers 8 x 48 = 24 x the other number other number = ( 8 x 48 ) / 24 other number = 16 answer : d" + }, + { + "Answer": 4.499640028797696, + "Options": "a ) 2.5 sec , b ) 1.9 sec , c ) 8.9 sec , d ) 4.5 sec , e ) 2.9 sec", + "Correct": "d", + "Explanation": "\"speed = 144 * 5 / 18 = 40 m / sec time taken = 180 / 40 = 4.5 sec . answer : d\"" + }, + { + "Answer": 20.5, + "Options": "a ) 20.5 , b ) 15 , c ) 25.5 , d ) 30 , e ) 60", + "Correct": "a", + "Explanation": "\"the time it takes darcy to walk to work is ( 1.5 / 3 ) * 60 = 30 minutes the time it takes darcy to take the train is ( 1.5 / 20 ) * 60 + x = 4.5 + x minutes it takes 15 minutes longer to walk , so 30 = 4.5 + x + 5 x = 20.5 minutes answer : a\"" + }, + { + "Answer": 12, + "Options": "a ) 10 days , b ) 12 days , c ) 13 days , d ) 11 days , e ) 9 days", + "Correct": "b", + "Explanation": "\"that is , 1 work done = 12 \u00d7 8 \u00d7 10 then , 12 8 \u00d7 10 = ? \u00d7 10 \u00d7 8 ? ( i . e . no . of men required ) = 12 \u00d7 8 \u00d7 10 / 10 \u00d7 8 = 12 days b )\"" + }, + { + "Answer": 12, + "Options": "a ) 6 hours , b ) 8 hours , c ) 12 hours , d ) 24 hours , e ) 32 hours", + "Correct": "c", + "Explanation": "i believe the answer is c . please see below for explanation . if jamshid can paint a dence in 50 percent less time then taimour we can infer the following rate j = 2 t if working together they can do the job in 8 hours we can infer 1 = 2 t + t * 4 = > 1 / 12 working alone taimour can do the job in 1 = 1 / 12 * hours = > 12 answer c" + }, + { + "Answer": 15, + "Options": "a ) 12 kmph , b ) 13 kmph , c ) 14 kmph , d ) 15 kmph , e ) 16 kmph", + "Correct": "d", + "Explanation": "\"the ratio of the times taken is 2 : 1 . the ratio of the speed of the boat in still water to the speed of the stream = ( 2 + 1 ) / ( 2 - 1 ) = 3 / 1 = 3 : 1 speed of the stream = 45 / 3 = 15 kmph answer : d\"" + }, + { + "Answer": 7, + "Options": "a ) 8 pm , b ) 6 pm , c ) 7 pm , d ) 10 pm , e ) 5 pm", + "Correct": "c", + "Explanation": "time of meeting = distance / relative speed = 15 / 3 + 2 = 15 / 5 = 3 hrs after 4 pm = 7 pm answer is c" + }, + { + "Answer": 180, + "Options": "a ) 286 m , b ) 180 m , c ) 200 m , d ) 166 m , e ) 187 m", + "Correct": "b", + "Explanation": "\"2 ( l + 120 ) = 600 = > l = 180 m answer : b\"" + }, + { + "Answer": 3.0935025197984163, + "Options": "a ) 2.5 sec , b ) 2.9 sec , c ) 3.1 sec , d ) 8.7 sec , e ) 8.5 sec", + "Correct": "c", + "Explanation": "\"speed = 128 * 5 / 18 = 36 m / sec time taken = 110 / 36 = 3.1 sec . answer : c\"" + }, + { + "Answer": 11.519078473722104, + "Options": "a ) 10.52 sec , b ) 18.8 sec , c ) 14.52 sec , d ) 10.8 sec , e ) 11.52 sec", + "Correct": "e", + "Explanation": "\"relative speed = 60 + 40 = 100 km / hr . = 100 * 5 / 18 = 250 / 9 m / sec . distance covered in crossing each other = 160 + 160 = 320 m . required time = 320 * 9 / 250 = 288 / 25 = 11.52 sec . answer : e\"" + }, + { + "Answer": 157.5, + "Options": "a ) 72 sec , b ) 132 sec , c ) 157.5 sec , d ) 252 sec , e ) none", + "Correct": "c", + "Explanation": "\"solution relative speed = ( 48 - 40 ) kmph = 8 kmph = ( 8 x 5 / 18 ) m / sec = ( 40 / 18 ) m / sec time taken = ( 350 x 18 / 40 ) sec = 157.5 sec . answer c\"" + }, + { + "Answer": 26.023657870791627, + "Options": "a ) 26 , b ) 28 , c ) 17 , d ) 12 , e ) 88", + "Correct": "a", + "Explanation": "\"2 * 22 / 7 * 14 * x = 2288 = > x = 26 answer : a\"" + }, + { + "Answer": 4.999999999999999, + "Options": "a ) 4 m , b ) 5 m , c ) 6 m , d ) 7 m , e ) 8 m", + "Correct": "b", + "Explanation": "\"explanation : let width = x then , height = 6 x and length = 48 x 48 x \u00e3 \u2014 6 x \u00e3 \u2014 x = 36000 x = 5 answer : b\"" + }, + { + "Answer": 17, + "Options": "a ) 15 th , b ) 16 th , c ) 17 th , d ) 18 th , e ) 19 th", + "Correct": "c", + "Explanation": "4.5 km / 250 m = 18 . however , the street at the 4.5 - km mark is not 18 th street ; it is turner street . therefore , the highest numbered street is 17 th street . the answer is c ." + }, + { + "Answer": 15.999999999999996, + "Options": "a ) 12 days , b ) 18 days , c ) 16 days , d ) 19 days , e ) 21 days", + "Correct": "c", + "Explanation": "a and b did the work for some days . after that , b completed the remaining work in 46 days . in 46 days , word done by b = 1 80 x 46 = 23 45 remaining work = 1 \u2013 23 / 45 = 17 / 45 remaining work is done by both a and b together = 17 / 45 x 90 x 80 / 90 + 80 = 16 days c" + }, + { + "Answer": 51, + "Options": "a ) 38 days , b ) 40 days , c ) 43 days , d ) 45 days , e ) 51 days", + "Correct": "e", + "Explanation": "\"amit \u2019 s one day \u2019 s work = 1 / 15 amit \u2019 s 3 day \u2019 s work = 1 / 15 * 3 = 1 / 5 work left = 1 - 1 / 5 = 4 / 5 ananthu \u2019 s one day \u2019 s work = 1 / 60 ananthu can do work in = 4 / 5 * 60 = 48 days so total days = 48 + 3 = 51 days answer : e\"" + }, + { + "Answer": 9, + "Options": "a ) 8.5 gallons , b ) 9 gallons , c ) 6.5 gallons , d ) 5.5 gallons , e ) 6 gallons", + "Correct": "b", + "Explanation": "\"each 20 kilometers , 1 gallon is needed . we need to know how many 20 kilometers are there in 180 kilometers ? 180 / 20 = 9 * 1 gallon = 9 gallons correct answer b\"" + }, + { + "Answer": 50, + "Options": "a ) 35 days , b ) 40 days , c ) 45 days , d ) 50 days , e ) 55 days", + "Correct": "d", + "Explanation": "\"exp : we have , m 1 d 1 = m 2 d 2 600 * 25 = 300 * d 2 d 2 = 600 * 25 / 300 = 50 days . answer : d\"" + }, + { + "Answer": 55, + "Options": "a ) 65 , b ) 38 , c ) 20 , d ) 55 , e ) 21", + "Correct": "d", + "Explanation": "answer : d ) 55 km" + }, + { + "Answer": 300, + "Options": "a ) 120 m , b ) 300 m , c ) 190 m , d ) 150 m , e ) 160 m", + "Correct": "b", + "Explanation": "60 kmph = 50 / 3 m / sec 50 / 3 * 18 = 300 m answer : b" + }, + { + "Answer": 8, + "Options": "a ) 7 , b ) 8 , c ) 9 , d ) 11 , e ) 10", + "Correct": "b", + "Explanation": "ratio of times taken by mary and rosy = 150 : 100 = 3 : 2 suppose rosy takes x days to do the work . 3 : 2 : : 12 : x = > x = 8 days . hence , rosy takes 8 days to complete the work . answer : b" + }, + { + "Answer": 9, + "Options": "a ) 8 , b ) 5 , c ) 9 , d ) 6 , e ) 10", + "Correct": "c", + "Explanation": "\"at $ 3 per hour up to 40 hours , regular pay = $ 3 x 40 = $ 120 if total pay = $ 168 , overtime pay = $ 174 - $ 120 = $ 54 overtime rate ( twice regular ) = 2 x $ 3 = $ 6 per hour = > number of overtime hours = $ 54 / $ 6 = 9 ans is c\"" + }, + { + "Answer": 50, + "Options": "a ) 120 litres , b ) 57 litres , c ) 60 litres , d ) 50 litres , e ) 100 litres", + "Correct": "d", + "Explanation": "m 1 = 50 litres m 2 = 100 litres m 3 = 150 litres required measurement = h . c . f . of m 1 , m 2 , m 3 = 50 litres answer is d" + }, + { + "Answer": 140, + "Options": "a ) 140 , b ) 278 , c ) 378 , d ) 368 , e ) 367", + "Correct": "a", + "Explanation": "\"4 * 5 * 7 = 120 answer : a\"" + }, + { + "Answer": 1, + "Options": "a ) 1 km , b ) 2 km , c ) 3 km , d ) 1.5 km , e ) 4 km", + "Correct": "a", + "Explanation": "\"distance = 6 * 10 / 60 = 1 km answer is a\"" + }, + { + "Answer": 9, + "Options": "a ) 8.78 , b ) 8.67 , c ) 8.75 , d ) 8.98 , e ) 9", + "Correct": "e", + "Explanation": "\"( 4 * 4.5 ) / 2 = 9 answer : e\"" + }, + { + "Answer": 12.460541618209005, + "Options": "a ) 23.46 , b ) 27.46 , c ) 28.46 , d ) 12.46 , e ) 25.46", + "Correct": "d", + "Explanation": "speed of the boat downstream = 21 + 5 = 26 kmph = 26 * 5 / 18 = 7.22 m / s hence time taken to cover 90 m = 90 / 7.22 = 12.46 seconds . answer : d" + }, + { + "Answer": 218.75, + "Options": "a ) 175 seconds , b ) 219 seconds , c ) 155 seconds , d ) 115 seconds , e ) 115 seconds", + "Correct": "b", + "Explanation": "\"explanation : let the time required by x seconds . then , more cloth means more time ( direct proportion ) so , 0.128 : 1 : : 28 : x = > x = { \\ color { blue } \\ frac { 28 \\ times 1 } { 0.128 } } = > x = 218.75 so time will be approx 219 seconds answer : b\"" + }, + { + "Answer": 999.5976625058432, + "Options": "['a ) 1000', 'b ) 2788', 'c ) 2677', 'd ) 2899', 'e ) 2771']", + "Correct": "a", + "Explanation": "2 * 22 / 7 * 1.75 * x = 11000 x = 1000 answer : a" + }, + { + "Answer": 90, + "Options": "['a ) 60', 'b ) 70', 'c ) 80', 'd ) 90', 'e ) 100']", + "Correct": "d", + "Explanation": "the volume the tank is : length * width * depth = 9 * 8 * 5 = 360 cubic feet . 360 cubic feet / 4 cubic feet per hour = 90 hours . it will take 90 hours to fill the tank . the answer is d ." + }, + { + "Answer": 8.333333333333332, + "Options": "a ) 10.44 km , b ) 10.6 km , c ) 11.4 km , d ) 11.22 km , e ) 8.33 km", + "Correct": "e", + "Explanation": "\"explanation : speed downstream = ( 37 + 13 ) = 50 kmph time = 24 minutes = 10 / 60 hour = 1 / 6 hour distance travelled = time \u00d7 speed = ( 1 / 6 ) \u00d7 50 = 8.33 km answer : option e\"" + }, + { + "Answer": 107.99999999999999, + "Options": "a ) 76 kmph , b ) 108 kmph , c ) 72 kmph , d ) 34 kmph , e ) 91 kmph", + "Correct": "b", + "Explanation": "\"length = speed * time speed = l / t s = 600 / 20 s = 30 m / sec speed = 30 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 108 kmph answer : b\"" + }, + { + "Answer": 3.6, + "Options": "a ) 1.2 km , b ) 1.8 km , c ) 2.4 km , d ) 3.6 km , e ) none", + "Correct": "d", + "Explanation": "\"speed downstream = ( 15 + 3 ) km / hr = 18 km / hr . distance travelled = ( 18 x 12 / 60 ) hours = 3.6 km . answer d\"" + }, + { + "Answer": 26250, + "Options": "a ) 16000 , b ) 18000 , c ) 20000 , d ) 26250 , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : number of bricks = courtyard area / 1 brick area = ( 2100 \u00e3 \u2014 1400 / 14 \u00e3 \u2014 8 ) = 26250 option d\"" + }, + { + "Answer": 14.999999999999998, + "Options": "a ) 60 days , b ) 15 days , c ) 6 days , d ) 51 days , e ) 50 days", + "Correct": "b", + "Explanation": "two men and 7 children complete a certain piece of work in 4 days or 8 men and 28 children complete a certain piece of work in 1 days 4 men and 4 children complete the same work in only 3 days . or 12 men and 12 children complete the same work in only 3 days . so 8 men + 28 children = 12 men + 12 children 1 man = 4 children 4 men and 4 children complete the same work in only 3 days or 4 men and 1 man ( in place of 4 children ) complete the same work in only 3 days or 5 men complete the same work in 3 days or 1 man will complete the same work in 5 * 3 = 15 days answer : b" + }, + { + "Answer": 80, + "Options": "['a ) 75 %', 'b ) 80 %', 'c ) 100 %', 'd ) 120 %', 'e ) 125 %']", + "Correct": "b", + "Explanation": "b . for p , r = 8 / 2 pi . its capacity = ( 4 pi ) ^ 2 * 10 = 160 pi for b , r = 10 / pi . its capacity = ( 5 pi ) ^ 2 * 8 = 200 pi p / b = 160 pi / 200 pi = 0.8" + }, + { + "Answer": 875, + "Options": "a ) 300 , b ) 875 , c ) 360 , d ) 770 , e ) 380", + "Correct": "b", + "Explanation": "\"speed = 750 / 18 = 125 / 3 m / sec . let the length of the platform be x meters . then , ( x + 750 ) / 39 = 125 / 3 = > x = 1625 m . l = 1625 - 750 = 875 answer : option b\"" + }, + { + "Answer": 46, + "Options": "a ) 44 , b ) 45 , c ) 46 , d ) 47 , e ) 48", + "Correct": "c", + "Explanation": "( s 1 * t 2 ~ s 2 * t 1 ) / ( t 2 ~ t 1 ) = ( 26 * 18 ~ 34 * 30 ) / ( 18 ~ 30 ) = 46 answer : c" + }, + { + "Answer": 20, + "Options": "a ) 20 hrs , b ) 22 hrs , c ) 23 hrs , d ) 24 hrs , e ) 21 hrs", + "Correct": "a", + "Explanation": "\"1 / ( 1 / 36 + 1 / 45 ) = 180 / 9 = 20 hrs answer : a\"" + }, + { + "Answer": 8250, + "Options": "a ) rs . 15,000 , b ) rs . 8,250 , c ) rs . 15,600 , d ) rs . 16,500 , e ) none", + "Correct": "b", + "Explanation": "\"solution area of the floor = ( 5.5 x 3.75 ) m \u00b2 = 20.635 m \u00b2 cost of paying = rs . ( 400 x 20.625 ) = rs . 8,250 . answer b\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 10 , c ) 11 , d ) 12 , e ) 13", + "Correct": "a", + "Explanation": "\"3 pumps take 16 hrs total ( 8 hrs a day ) if 1 pump will be working then , it will need 16 * 3 = 48 hrs 1 pump need 48 hrs if i contribute 12 pumps then 48 / 12 = 4 hrs . answer : a\"" + }, + { + "Answer": 23, + "Options": "a ) 9 , b ) 17 , c ) 23 , d ) 45 , e ) 12", + "Correct": "c", + "Explanation": "458 - 435 = 23 . answer is c ." + }, + { + "Answer": 95.03317777109125, + "Options": "['a ) 113.00 square meter', 'b ) 95.07 square meter', 'c ) 93.08 square meter', 'd ) 93.24 square meter', 'e ) 113.43 square meter']", + "Correct": "b", + "Explanation": "diameter = 11 meter . radius = diameter / 2 . = 11 / 2 . = 5.5 meter . area of a circle = \u00ef \u20ac r 2 . here , pi ( \u00ef \u20ac ) = 3.14 meter , radius ( r ) = 5.5 . area of a circle = 3.14 \u00e3 \u2014 5.5 \u00e3 \u2014 5.5 . . = 3.14 \u00e3 \u2014 30.25 . = 95.07 square meter answer : b" + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 11.9 , c ) 16 , d ) 20 , e ) 18", + "Correct": "b", + "Explanation": "sol . speed of the first train = [ 100 / 10 ] m / sec = 10 m / sec . speed of the second train = [ 100 / 15 ] m / sec = 6.7 m / sec . relative speed = ( 10 + 6.7 ) = m / sec = 16.7 m / sec . \u2234 required time = ( 100 + 100 ) / 16.7 secc = 11.9 sec . answer b" + }, + { + "Answer": 60, + "Options": "a ) 60 m , b ) 20 m , c ) 43 m , d ) 20 m , e ) 23 m", + "Correct": "a", + "Explanation": "\"to reach the winning post a will have to cover a distance of ( 500 - 170 ) m , i . e . , 330 m . while a covers 3 m , b covers 4 m . while a covers 330 m , b covers 4 x 330 / 3 m = 440 m . thus , when a reaches the winning post , b covers 440 m and therefore remains 60 m behind . a wins by 60 m . answer : a\"" + }, + { + "Answer": 6, + "Options": "a ) 7 days , b ) 6 days , c ) 5 days , d ) 4 days , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : in this type of question , where we have one person work and together work done . then we can easily get the other person work just by subtracting them . as son ' s one day work = ( 1 / 3 \u2212 1 / 6 ) = ( 6 \u2212 3 ) / 18 = 1 / 6 so son will do whole work in 6 days answer : b\"" + }, + { + "Answer": 1.9000000000000001, + "Options": "a ) 1.7 , b ) 1.5 , c ) 1.3 , d ) 1.1 , e ) 1.9", + "Correct": "e", + "Explanation": "\"19 / 36 m / s = 19 / 36 * 18 / 5 = 19 / 10 = 1.9 kmph . answer : e\"" + }, + { + "Answer": 77.77777777777783, + "Options": "a ) 11.77 meters , b ) 55.77 meters , c ) 77.77 meters , d ) 113.77 meters , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : a runs 1000 meters while b runs 900 meters and c runs 830 meters . therefore , b runs 900 meters while c runs 830 meters . so , the number of meters that c runs when b runs 1000 meters = ( 1000 x 830 ) / 900 = 922.22 meters thus , b can give c ( 1000 - 922.22 ) = 77.77 meters start answer : c\"" + }, + { + "Answer": 48, + "Options": "a ) 47 hours , b ) 45 hours , c ) 48 hours , d ) 49 hours , e ) 50 hours", + "Correct": "c", + "Explanation": "let the persons be a , b , c . hours worked : a = 2 * 144 / 12 = 24 hours b = 4 * 144 / 12 = 48 hours c = 6 * 144 / 12 = 72 hours c is the hardest worker and a worked for the least number of hours . so the difference is 72 - 24 = 48 hours . answer : c" + }, + { + "Answer": 51.42857142857143, + "Options": "a ) 42 , b ) 51 , c ) 50 , d ) 54 , e ) 56", + "Correct": "b", + "Explanation": "\"t 1 = 240 / 60 = 4 hours t 2 = 120 / 40 = 3 hours t = t 1 + t 2 = 7 hours avg speed = total distance / t = 360 / 7 = 51 mph = b\"" + }, + { + "Answer": 10.999120070394369, + "Options": "a ) 7 sec , b ) 6 sec , c ) 8 sec , d ) 11 sec , e ) 2 sec", + "Correct": "d", + "Explanation": "\"speed of train relative to man = 30 + 6 = 36 km / hr . = 36 * 5 / 18 = 10 m / sec . time taken to pass the men = 110 / 10 = 11 sec . answer : d\"" + }, + { + "Answer": 750.08, + "Options": "a ) 150 m , b ) 200 m , c ) 250 m , d ) 750 m , e ) 300 m", + "Correct": "d", + "Explanation": "\"d = 72 * 5 / 18 = 50 = 1000 \u00e2 \u20ac \u201c 250 = 750 m answer : d\"" + }, + { + "Answer": 6, + "Options": "a ) 2 , b ) 5 , c ) 8 , d ) 6 , e ) 4", + "Correct": "d", + "Explanation": "\"let x be the number of roses . then the number of birches is 24 \u2212 x , and the number of boys is 3 \u00d7 ( 24 \u2212 x ) . if each girl planted 3 roses , there are x 3 girls in the class . we know that there are 24 students in the class . therefore x 3 + 3 ( 24 \u2212 x ) = 24 x + 9 ( 24 \u2212 x ) = 3 \u22c5 24 x + 216 \u2212 9 x = 72 216 \u2212 72 = 8 x 1448 = x 1 x = 18 so , students planted 18 roses and 24 - x = 24 - 18 = 6 birches . correct answer is d ) 6\"" + }, + { + "Answer": 143.98848092152627, + "Options": "a ) 128 , b ) 136 , c ) 144 , d ) 152 , e ) 160", + "Correct": "c", + "Explanation": "\"15 km / hr = 15000 m / 3600 s = ( 150 / 36 ) m / s = ( 25 / 6 ) m / s time = 600 / ( 25 / 6 ) = 144 seconds the answer is c .\"" + }, + { + "Answer": 18, + "Options": "a ) 6.33 , b ) 7.5 , c ) 10 , d ) 18 , e ) 19", + "Correct": "d", + "Explanation": "\"if there is one bacteria colony , then it will reach the limit of its habitat in 20 days . if there are two bacteria colonies , then in order to reach the limit of habitat they would need to double one time less than in case with one colony . thus colonies need to double 18 times . answer : d . similar questions to practice : hope it helps .\"" + }, + { + "Answer": 6, + "Options": "a ) 1 , b ) 2 , c ) 4 , d ) 6 , e ) 8", + "Correct": "d", + "Explanation": "\"the distance between the nest and the ditch is 300 meters . 15 times mean = a crow leaves its nest , and flies back ( going and coming back ) i . e . 2 times we get total 30 rounds . so the distance is 30 * 300 = 9000 . d = st 9000 / 1.5 = t , i think we can take 9000 meters as 9 km , then only we get t = 6 . ( 1000 meters = 1 km ) d )\"" + }, + { + "Answer": 4, + "Options": "a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6", + "Correct": "c", + "Explanation": "if the tens digit of positive integers m , y are 6 , how many values of the tens digit of 2 ( m + y ) can be there ? a . 2 b . 3 c . 4 d . 5 e . 6 - > if m = y = 60 , 2 ( m + y ) = 240 is derived . if m = y = 69 , 2 ( m + y ) = 276 is derived , which makes 4,5 , 6,7 possible for the tens digit . therefore , the answer is c ." + }, + { + "Answer": 144, + "Options": "a ) 165 kmph , b ) 144 kmph , c ) 172 kmph , d ) 175 kmph , e ) 178 kmph", + "Correct": "b", + "Explanation": "\"length = speed * time speed = l / t s = 400 / 10 s = 40 m / sec speed = 40 * 18 / 5 ( to convert m / sec in to kmph multiply by 18 / 5 ) speed = 144 kmph answer : b\"" + }, + { + "Answer": 39.999999999999964, + "Options": "a ) 50 , b ) 40 , c ) 30 , d ) 20 , e ) 10", + "Correct": "b", + "Explanation": "explanation : work done by 4 men and 6 women in 1 day = 1 / 8 work done by 3 men and 7 women in 1 day = 1 / 10 let 1 man does m work in 1 day and 1 woman does w work in 1 day . the above equations can be written as 4 m + 6 w = 1 / 8 - - - ( 1 ) 3 m + 7 w = 1 / 10 - - - ( 2 ) solving equation ( 1 ) and ( 2 ) , we get m = 11 / 400 and w = 1 / 400 amount of work 10 women can do in a day = 10 \u00d7 ( 1 / 400 ) = 1 / 40 ie , 10 women can complete the work in 40 days answer : option b" + }, + { + "Answer": 90, + "Options": "a ) 90 , b ) 80 , c ) 75 , d ) 60 , e ) 65", + "Correct": "a", + "Explanation": "let x per minute be the speed of c and y per minute be the speed of d . after meeting at a point , c travels for 32 mins and d travels for 50 mins . so distance covered by each of them post point of crossing c = 32 x and d = 50 y the distance covered by c and d before they cross each would be distance covered by d and c post crossing respectively . therefore distance covered by d before he meets c = 32 x time taken by d cover 32 x distance = 32 x / y mins therefore total time taken by d = 32 x / y + 50 mins . . . . . . . . . . . . . . . . . i we need to find value of x in terms of y to arrive at final answer . total distance = 32 x + 50 y combined speed of c and d = x + y therefore time taken before c and d meet en - route = ( 32 x + 50 y ) / ( x + y ) time taken by d reach destination after meeting c = 50 mins total travel time for d = [ ( 32 x + 50 y ) / ( x + y ) ] + 50 mins . . . . . . . . . . . . . . . . . . . ii equate i and ii 32 x / y + 50 = [ ( 32 x + 50 y ) / ( x + y ) ] + 50 ( 32 x + 50 y ) / y = ( 82 x + 100 y ) / ( x + y ) 32 x ^ 2 + 50 xy + 32 xy + 50 y ^ 2 = 82 xy + 100 y ^ 2 32 x ^ 2 + 82 xy - 82 xy + 50 y ^ 2 - 100 y ^ 2 = 0 32 x ^ 2 - 50 y ^ 2 = 0 32 x ^ 2 = 50 y ^ 2 16 x ^ 2 = 25 y ^ 2 taking square root . . ( since x and y denote speed , square root ca n ' t be negative ) 4 x = 5 y y = 4 x / 5 . . . . . . . . . . . . iii substitute in i = 32 x / ( 4 x / 5 ) + 50 = 32 x * 5 / 4 x + 50 = 40 + 50 = 90 mins a" + }, + { + "Answer": 15, + "Options": "a ) 15 , b ) 87 , c ) 99 , d ) 77 , e ) 55", + "Correct": "a", + "Explanation": "\"90 * 10 / 60 = 15 kmph answer : a\"" + }, + { + "Answer": 12, + "Options": "a ) 9 , b ) 10 , c ) 11 , d ) 12 , e ) 13", + "Correct": "d", + "Explanation": "the required number of working hours per day x , more pumps , less working hours per day ( indirect ) less days , more working hours per day ( indirect ) pumps 4 : 3 , days 1 : 2 } : : 8 : x therefore 4 * 1 * x = 3 * 2 * 8 , x = ( 3 * 2 * 8 ) / 4 x = 12 correct answer ( d )" + }, + { + "Answer": 14.589994594594595, + "Options": "a ) 13.42 , b ) 13.86 , c ) 14.25 , d ) 14.63 , e ) 14.88", + "Correct": "d", + "Explanation": "\"the laptop can load the video at a rate of 1 / 15 of the video per second . the phone can load the video at a rate of 1 / ( 60 * 10 ) = 1 / 600 of the video per second . the combined rate is 1 / 15 + 1 / 600 = 41 / 600 of the video per second . the time required to load the video is 600 / 41 = 14.63 seconds . the answer is d .\"" + }, + { + "Answer": 6, + "Options": "a ) 10 , b ) 16 , c ) 18 , d ) 6 , e ) 12", + "Correct": "d", + "Explanation": "\"a can do the work in 18 / 2 i . e . , 9 days . a and b ' s one day ' s work = 1 / 9 + 1 / 18 = ( 2 + 1 ) / 18 = 1 / 6 so a and b together can do the work in 6 days . answer : d\"" + }, + { + "Answer": 40, + "Options": "a ) 30 miles . , b ) 35 miles . , c ) 40 miles . , d ) 60 miles . , e ) 65 miles .", + "Correct": "c", + "Explanation": "tim and elan will meet at the same time while their ratio of speed is 2 : 1 respectively . so their individual distance traveled ratio will be same . plugging in the answer choice only answer choice c meet the 2 : 1 ( tim : elan = 40 : 20 ) ratio of maintaining total distance traveled 60 miles so correct answer c" + }, + { + "Answer": 334.03999999999996, + "Options": "a ) 310 , b ) 318 , c ) 326 , d ) 334 , e ) 342", + "Correct": "d", + "Explanation": "\"speed = 45 km / h = 45000 m / 3600 s = 25 / 2 m / s in 40 seconds , the train can travel 25 / 2 * 40 = 500 meters 500 = length of train + length of bridge length of bridge = 500 - 166 = 334 meters the answer is d .\"" + }, + { + "Answer": 62, + "Options": "a ) 70 , b ) 52 , c ) 62 , d ) 49 , e ) 50", + "Correct": "c", + "Explanation": "\"total number of players = 11 + 15 + 21 + 15 = 62 answer is c\"" + }, + { + "Answer": 11, + "Options": "a ) 12 , b ) 10 , c ) 11 , d ) 09 , e ) 03", + "Correct": "c", + "Explanation": "\"suppose they meet x hrs after 8 a . m . then , ( distance moved by first in x hrs ) + [ distance moved by second in ( x - 1 ) hrs ] = 330 60 x + 75 ( x - 1 ) = 330 = > x = 3 so , they meet at ( 8 + 3 ) i . e . , 11 a . m . answer : c\"" + }, + { + "Answer": 7, + "Options": "a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 10", + "Correct": "c", + "Explanation": "work done by 10 men in 1 day = 1 / 7 work done by 1 man in 1 day = ( 1 / 7 ) / 10 = 1 / 70 work done by 10 women in 1 day = 1 / 14 work done by 1 woman in 1 day = 1 / 140 work done by 5 men and 10 women in 1 day = 5 \u00d7 ( 1 / 70 ) + 10 \u00d7 ( 1 / 140 ) = 5 / 70 + 10 / 140 = 1 / 7 = 5 men and 10 women can complete the work in 7 days answer : option c" + }, + { + "Answer": 90, + "Options": "a ) 23 , b ) 88 , c ) 90 , d ) 27 , e ) 21", + "Correct": "c", + "Explanation": "\"25 * 18 / 5 = 90 kmph answer : c\"" + }, + { + "Answer": 8, + "Options": "a ) 6 , b ) 5 , c ) 5.5 , d ) 7 , e ) 8", + "Correct": "e", + "Explanation": "\"b ' s 10 day ' s work = ( 1 x 10 ) = 2 . 15 3 remaining work = ( 1 - 2 ) = 1 . 3 3 now , 1 work is done by a in 1 day . 24 therefore 1 work is done by a in ( 24 x 1 ) = 8 days . e\"" + }, + { + "Answer": 2160, + "Options": "a ) 180 , b ) 1800 , c ) 18 , d ) 2160 , e ) 1.8", + "Correct": "d", + "Explanation": "\"area of the hall = 3600 * 1500 area of each stone = ( 50 * 50 ) therefore , number of stones = ( 3600 * 1500 / 50 * 50 ) = 2160 answer : d\"" + }, + { + "Answer": 0.04, + "Options": "a ) 1 / 25 , b ) 1 / 30 , c ) 1 / 10 , d ) 2 , e ) 30", + "Correct": "a", + "Explanation": "\"pete covered 2.5 * 60 = 150 miles which correspond to 6 inches on the map - - > scale in inches per mile is 6 / 150 = 1 / 25 . answer : a .\"" + }, + { + "Answer": 250, + "Options": "a ) 270 , b ) 250 , c ) 187 , d ) 257 , e ) 271", + "Correct": "b", + "Explanation": "\"relative speed = ( 72 - 36 ) * 5 / 18 = 2 * 5 = 10 mps . distance covered in 25 sec = 25 * 10 = 250 m . the length of the faster train = 250 m . answer : b\"" + }, + { + "Answer": 563.1999999999999, + "Options": "a ) 708 m , b ) 704 m , c ) 774 m , d ) 714 m , e ) 563.2 m", + "Correct": "e", + "Explanation": "\"in one resolution , the distance covered by the wheel is its own circumference . distance covered in 500 resolutions . = 400 * 2 * 22 / 7 * 22.4 = 56320 cm = 563.2 m answer : e\"" + }, + { + "Answer": 29.999999999999982, + "Options": "a ) 10 , b ) 12 , c ) 14 , d ) 15 , e ) 30", + "Correct": "e", + "Explanation": "renu \u00e2 \u20ac \u2122 s one day \u00e2 \u20ac \u2122 s work = 1 / 6 suma \u00e2 \u20ac \u2122 s one day \u00e2 \u20ac \u2122 s work = 1 / 5 - 1 / 6 = 1 / 30 suma can do it alone in 30 days . answer : e" + }, + { + "Answer": 20, + "Options": "a ) 50 hours , b ) 40 hours , c ) 20 hours , d ) 12 hours , e ) 8 hours", + "Correct": "c", + "Explanation": "\"here , we ' re told that 5 machines can produce 20 units in 10 hours . . . . that means that each machine works for 10 hours apiece . since there are 5 machines ( and we ' re meant to assume that each machine does the same amount of work ) , then the 5 machines equally created the 20 units . 20 units / 5 machines = 4 units are made by each machine every 10 hours now that we know how long it takes each machine to make 4 units , we can break this down further if we choose to . . . 10 hours / 4 units = 2.5 hours per unit when 1 machine is working . the prompt asks us how long would it take 20 machines to produce 160 units . if 20 machines each work for 2.5 hours , then we ' ll have 20 units . since 160 units is ' 8 times ' 20 , we need ' 8 times ' more time . ( 2.5 hours ) ( 8 times ) = 20 hours final answer : [ reveal ] spoiler : c\"" + }, + { + "Answer": 150, + "Options": "a ) 100 m , b ) 120 m , c ) 130 m , d ) 150 m , e ) none of these", + "Correct": "d", + "Explanation": "\"explanation : solution : relative speed = ( 9 - 8 ) = 1 km / hr . distance covered in 3 minutes = ( 1 * 3 / 60 ) km = 1 / 20 km = 50 m . . ' . distance between the criminal and policeman = ( 200 - 50 ) m = 150 m . answer : d\"" + }, + { + "Answer": 30, + "Options": "a ) 16 days . , b ) 17 days . , c ) 18 days . , d ) 30 days . , e ) 20 days .", + "Correct": "d", + "Explanation": "they together completed 4 / 10 work in 4 days . balance 6 / 10 work will be completed by arun alone in 50 * 6 / 10 = 30 days . answer : d" + }, + { + "Answer": 11.999999999999998, + "Options": "['a ) 10 cm', 'b ) 12 cm', 'c ) 16 cm', 'd ) 18 cm', 'e ) none']", + "Correct": "b", + "Explanation": "sol . volume of the new cube = ( 63 + 83 + 103 ) cm 3 = 1728 cm 3 . let the edge of the new cube be a cm . \u2234 a 3 = 1728 \u21d2 a = 12 . answer b" + }, + { + "Answer": 280, + "Options": "a ) 280 , b ) 290 , c ) 300 , d ) 310 , e ) 320", + "Correct": "a", + "Explanation": "\"relative speed = ( 126 - 54 ) * 5 / 18 = 4 * 5 = 20 mps . distance covered in 27 sec = 14 * 20 = 280 m . the length of the faster train = 280 m . answer : a\"" + }, + { + "Answer": 14, + "Options": "a ) 10 , b ) 14 , c ) 40 , d ) 50 , e ) 60", + "Correct": "b", + "Explanation": "explanation : let the fourth term be x . thus 56 , 16 , 49 , x are in proportion . product of extreme terms = 56 x product of mean terms = 16 x 49 since , the numbers make up a proportion therefore , 56 x = 16 49 or , x = ( 16 49 ) / 56 or , x = 14 therefore , the fourth term of the proportion is 14 . answer : b" + }, + { + "Answer": 9, + "Options": "a ) 2 , b ) 8 , c ) 9 , d ) 1 , e ) 2", + "Correct": "c", + "Explanation": "\"explanation : total hours worked = 8 x 3 + 6 x 2 = 36 total earned = 324 . hourly wage = 324 / 36 = 9 answer : c ) 9\"" + }, + { + "Answer": 250.03199999999998, + "Options": "a ) 443 m , b ) 354 m , c ) 450 m , d ) 350 m , e ) 250 m", + "Correct": "e", + "Explanation": "\"e 250 e = 72 * 5 / 18 = 20 = 400 \u00e2 \u20ac \u201c 150 = 250\"" + }, + { + "Answer": 28000, + "Options": "a ) 28000 , b ) 27908 , c ) 78902 , d ) 25000 , e ) 27991", + "Correct": "a", + "Explanation": "\"28 * 2 * 0.75 = 20 / 100 * 10 / 100 * 7.5 / 100 * x 28 = 1 / 100 * x = > x = 28000 answer : a\"" + }, + { + "Answer": 7.199999999999999, + "Options": "a ) 6 hr , b ) 5.6 hr , c ) 9.5 hr , d ) 7.2 hr , e ) 4 hr", + "Correct": "d", + "Explanation": "\"net part filled in 1 hour 1 / 4 - 1 / 9 = 5 / 36 the cistern will be filled in 36 / 5 hr = 7.2 hr answer is d\"" + }, + { + "Answer": 4.8, + "Options": "a ) 2.5 , b ) 3.0 , c ) 4.8 , d ) 6.5 , e ) 8.0", + "Correct": "c", + "Explanation": "\"let initial volume of ice be = x ice remaining after 1 hour = x - 0.75 x = 0.25 x ice remaining after 2 hour = ( 1 / 4 ) x - ( 3 / 4 * 1 / 4 * x ) = ( 1 / 16 ) x ( 1 / 16 ) x = 0.3 x = 4.8 alternate solution : try to backsolve . initial volume = 4.8 after one hour - - > ( 1 / 4 ) 4.8 = 1.2 after two hours - - > ( 1 / 4 ) 1.2 = 0.3 answer : c\"" + }, + { + "Answer": 23.999999999999996, + "Options": "a ) 10 , b ) 12 , c ) 24 , d ) 30 , e ) 15", + "Correct": "c", + "Explanation": "\"x ' s 1 day ' s work = 1 / 40 y ' s 1 day ' s work = 1 / 60 ( x + y ) ' s 1 day ' s work = ( 1 / 40 + 1 / 60 ) = 1 / 24 both together will finish the work in 24 days . correct option is c\"" + }, + { + "Answer": 3, + "Options": "a ) 1 kmph , b ) 4 kmph , c ) 3 kmph , d ) 2 kmph , e ) 1.9 kmph", + "Correct": "c", + "Explanation": "\"sol . speed of stream = 1 / 2 ( 12 - 6 ) kmph = 3 kmph . answer c\"" + }, + { + "Answer": 320, + "Options": "a ) 320 m , b ) 225 m , c ) 245 m , d ) 250 m , e ) 240 m", + "Correct": "a", + "Explanation": "\"speed = [ 36 x 5 / 18 ] m / sec = 10 m / sec time = 45 sec let the length of bridge be x metres . then , ( 130 + x ) / 45 = 10 = > 130 + x = 450 = > x = 320 m . answer : a\"" + }, + { + "Answer": 552, + "Options": "a ) 456 kms , b ) 482 kms , c ) 552 kms , d ) 556 kms , e ) none of these", + "Correct": "c", + "Explanation": "\"total distance travelled in 12 hours = ( 35 + 37 + 39 + . . . upto 12 terms ) . this is an a . p . with first term , a = 35 , number of terms , n = 12 , common difference d = 2 required distance = 12 / 2 ( 2 * 35 + ( 12 - 1 ) * 2 ) = 6 ( 70 + 22 ) = 552 km . correct option : c\"" + }, + { + "Answer": 6, + "Options": "a ) 5 km , b ) 6 km , c ) 10 km , d ) 12 km , e ) 8 km", + "Correct": "b", + "Explanation": "average speed = 2 * 3 * 2 / 3 + 2 = 12 / 5 km / hr distance traveled = 12 / 5 * 5 = 12 km distance between house and school = 12 / 2 = 6 km answer is b" + }, + { + "Answer": 699.9424046076314, + "Options": "a ) 700 , b ) 288 , c ) 500 , d ) 277 , e ) 121", + "Correct": "a", + "Explanation": "let length of tunnel is x meter distance = 600 + x meter time = 1 minute = 60 seconds speed = 78 km / hr = 78 * 5 / 18 m / s = 65 / 3 m / s distance = speed * time 600 + x = ( 65 / 3 ) * 60 600 + x = 20 * 65 = 1300 x = 1300 - 600 = 700 meters answer : a" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 12 hours , b ) 10 hours , c ) 6 hours , d ) 8 hours , e ) 4 hours", + "Correct": "a", + "Explanation": "a ' s 1 hour work = 1 / 4 ; ( b + c ) ' s 1 hour work = 1 / 3 ; ( a + b ) ' s 1 hour work = 1 / 2 ( a + b + c ) ' s 1 hour work = ( 1 / 4 + 1 / 3 ) = 7 / 12 c ' s 1 hour work = ( 7 / 12 - 1 / 2 ) = 1 / 12 c alone will take 12 hours to do the work . answer : a" + }, + { + "Answer": 8, + "Options": "a ) 6 min , b ) 8 min , c ) 10 min , d ) 12 min , e ) none of these", + "Correct": "b", + "Explanation": "in one min , ( a + b ) fill the cistern = 1 \u2044 10 + 1 \u2044 15 = 1 \u2044 6 th in 3 min , ( a + b ) fill the cistern = 3 \u2044 6 = 1 \u2044 2 th remaining part = 1 - 1 \u2044 2 = 1 \u2044 2 \u2235 1 \u2044 10 th part filled by a in one min . \u2234 1 \u2044 2 nd part filled by a in 10 \u00d7 1 \u2044 2 = 5 min . \u2234 total time = 3 + 5 = 8 min . answer b" + }, + { + "Answer": 4, + "Options": "a ) 1 , b ) 2 , c ) 3 , d ) 4 , e ) 5", + "Correct": "d", + "Explanation": "\"the swimmer can swim against the current at a speed of 4 - 2 = 2 km / h . the time it will take is 8 / 2 = 4 hours . the answer is d .\"" + }, + { + "Answer": 24, + "Options": "a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36", + "Correct": "b", + "Explanation": "\"a straight line will join the two centers and the point of contact , thus making similar triangles . 4 / 8 = ( r - 12 ) / r 4 r = 8 r - 96 r = 24 the answer is b .\"" + }, + { + "Answer": 47.99999999999999, + "Options": "a ) 30 days , b ) 48 days , c ) 40 days , d ) 36 days , e ) 50 days", + "Correct": "b", + "Explanation": "( a + b ) work in 1 day = 1 / 16 , a work in 1 day = 1 / 24 b work in 1 day = [ 1 / 16 - 1 / 24 ] = 1 / 48 . b alone can finish same work in 48 days . answer b" + }, + { + "Answer": 29.999999999999996, + "Options": "a ) 25 , b ) 30 , c ) 40 , d ) 45 , e ) 50", + "Correct": "b", + "Explanation": "time = distance ( here length of the train ) / relative speed ( 63 - 3 ) thus time = 500 / 60 * 5 / 18 = 500 * 18 / 60 * 5 = 30 seconds answer : b" + }, + { + "Answer": 93.75, + "Options": "a ) 69 miles , b ) 88 miles , c ) 93,75 miles , d ) 100 miles , e ) 112 miles", + "Correct": "c", + "Explanation": "\"upstream speed = 20 - 5 = 15 mph downstream speed = 20 + 5 = 25 mph d / 15 + d / 25 = 10 hours solving for d we get d = 93,75 answer : c\"" + }, + { + "Answer": 504, + "Options": "a ) 504 , b ) 416 , c ) 321 , d ) 220 , e ) 170", + "Correct": "a", + "Explanation": "\"let the speed in highway be h mpg and in city be c mpg . h = c + 6 h miles are covered in 1 gallon 340 miles will be covered in 340 / h . similarly c miles are covered in 1 gallon 336 miles will be covered in 336 / c . both should be same ( as car ' s fuel capacity does not change with speed ) = > 336 / c = 340 / h = > 336 / c = 340 / ( c + 6 ) = > 336 c + 336 * 6 = 340 c = > c = 336 * 6 / 4 = 504 answer a .\"" + }, + { + "Answer": 13.875, + "Options": "a ) 12.9 , b ) 12.0 , c ) 13.9 , d ) 13.5 , e ) 12.1", + "Correct": "c", + "Explanation": "\"1850 * 15 = 2000 * x x = 13.9 answer : c\"" + }, + { + "Answer": 16, + "Options": "a ) 2 , b ) 8 , c ) 1 , d ) 6 , e ) 16", + "Correct": "e", + "Explanation": "\"explanation : he covered 5 km in 1 hour , so he might cover 20 km in 4 hours . but he took 20 hours . he would have saved 20 \u00e2 \u20ac \u201c 4 = 16 hours . answer : e\"" + }, + { + "Answer": 5.454545454545454, + "Options": "a ) 6.3 , b ) 6.9 , c ) 5.5 , d ) 6.1 , e ) 6.2", + "Correct": "c", + "Explanation": "\"1 day work of the three persons = ( 1 / 15 + 1 / 20 + 1 / 15 ) = 11 / 60 so , all three together will complete the work in 300 / 47 = 5.5 days . answer : c\"" + }, + { + "Answer": 0.3666666666666667, + "Options": "a ) 4 / 15 , b ) 7 / 30 , c ) 11 / 30 , d ) 7 / 18 , e ) 5 / 18", + "Correct": "c", + "Explanation": "\"the two slowest people work at rates of 1 / 5 and 1 / 6 of the job per hour . the sum of these rates is 1 / 5 + 1 / 6 = 11 / 30 of the job per hour . the answer is c .\"" + }, + { + "Answer": 570, + "Options": "a ) 827 cm 2 , b ) 570 cm 2 , c ) 285 cm 2 , d ) 178 cm 2 , e ) 176 cm 2", + "Correct": "b", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 20 + 18 ) * ( 30 ) = 570 cm 2 answer : b\"" + }, + { + "Answer": 15.000000000000002, + "Options": "a ) 15 sec , b ) 16 sec , c ) 14 sec , d ) 67 sec , e ) 13 sec", + "Correct": "a", + "Explanation": "\"rs = 60 - 40 = 20 * 5 / 18 = 100 / 18 t = 75 d = 75 * 100 / 18 = 1250 / 3 rs = 60 + 50 = 100 * 5 / 18 t = 1250 / 3 * 18 / 500 = 15 sec answer : a\"" + }, + { + "Answer": 3.9996800255979523, + "Options": "a ) 2.5 , b ) 2.9 , c ) 4 sec , d ) 2.8 , e ) 2.1", + "Correct": "c", + "Explanation": "\"speed = 90 * 5 / 18 = 25 m / sec time taken = 100 / 25 = 4 sec . answer : c\"" + }, + { + "Answer": 7.050470445123011, + "Options": "a ) 7.19 , b ) 7.17 , c ) 7.2 , d ) 7.15 , e ) 7.05", + "Correct": "e", + "Explanation": "\"t = ( 119 + 165 ) / ( 80 + 65 ) * 18 / 5 t = 7.05 answer : e\"" + }, + { + "Answer": 227.04, + "Options": "a ) 227.04 mtrs , b ) 378.4 mtrs , c ) 478.4 mtrs , d ) 488.4 mtrs , e ) 578.4 mtrs", + "Correct": "a", + "Explanation": "\"if 20 men can build a wall 66 metres long in 10 days , length of a similar wall that can be built by 86 men in 8 days = ( 66 * 86 * 8 ) / ( 10 * 20 ) = 227.04 mtrs answer : a\"" + }, + { + "Answer": 30, + "Options": "a ) 30 kmph , b ) 28 kmph , c ) 26 kmph , d ) 24 kmph , e ) 22 kmph", + "Correct": "a", + "Explanation": "\"let the time taken to reach the destination be 3 x hours . total distance = 60 * 3 x = 180 x km he covered 2 / 3 * 180 x = 120 x km in 1 / 3 * 3 x = x hours so , the remaining 60 x km , he has to cover in 2 x hours . required speed = 60 x / 2 x = 30 kmph . answer : a\"" + }, + { + "Answer": 39.999999999999986, + "Options": "a ) 20 , b ) 22 , c ) 25 , d ) 27 , e ) 40", + "Correct": "e", + "Explanation": "\"work done by p and q in 1 day = 1 / 10 work done by r in 1 day = 1 / 20 work done by p , q and r in 1 day = 1 / 10 + 1 / 20 = 3 / 20 but work done by p in 1 day = work done by q and r in 1 day . hence the above equation can be written as work done by p in 1 day \u00e3 \u2014 2 = 3 / 20 = > work done by p in 1 day = 3 / 40 = > work done by q and r in 1 day = 3 / 40 hence work done by q in 1 day = 3 / 40 \u00e2 \u20ac \u201c 1 / 20 = 1 / 40 so q alone can do the work in 40 days answer is e .\"" + }, + { + "Answer": 24, + "Options": "a ) 24 days , b ) 12 days , c ) 29 days , d ) 25 days , e ) 27 days", + "Correct": "a", + "Explanation": "\"wc = 2 : 1 2 x + x = 1 / 8 x = 1 / 24 = > 24 days answer : a\"" + }, + { + "Answer": 270, + "Options": "a ) 270 m , b ) 189 m , c ) 278 m , d ) 279 m , e ) 917 m", + "Correct": "a", + "Explanation": "\"relative speed = ( 72 - 36 ) * 5 / 18 = 2 * 5 = 10 mps . distance covered in 27 sec = 27 * 10 = 270 m . the length of the faster train = 270 m . answer : a\"" + }, + { + "Answer": 360, + "Options": "a ) 227 , b ) 299 , c ) 360 , d ) 161 , e ) 212", + "Correct": "c", + "Explanation": "\"area of a trapezium = 1 / 2 ( sum of parallel sides ) * ( perpendicular distance between them ) = 1 / 2 ( 30 + 18 ) * ( 15 ) = 360 cm 2 answer : c\"" + }, + { + "Answer": 18, + "Options": "a ) 26 , b ) 88 , c ) 90 , d ) 42 , e ) 18", + "Correct": "e", + "Explanation": "\"sp of 1 m of cloth = 529 / 23 = rs . 23 cp of 1 m of cloth = sp of 1 m of cloth - profit on 1 m of cloth = rs . 23 - rs . 5 = rs . 18 answer : e\"" + }, + { + "Answer": 8, + "Options": "a ) 6 minutes , b ) 7 minutes , c ) 8 minutes , d ) 9 minutes , e ) 10 minutes", + "Correct": "c", + "Explanation": "it will take 8 minutes for 100 cats to kill 100 rats . 1 cat can kill 1 rat in 8 minutes , so 100 cats can kill 100 rats in 8 minutes answer c" + }, + { + "Answer": 10, + "Options": "a ) 11 days , b ) 12 days , c ) 9 days , d ) 8 days , e ) 10 days", + "Correct": "e", + "Explanation": "\"that is , 1 work done = 12 \u00d7 8 \u00d7 10 then , 12 8 \u00d7 10 = ? \u00d7 12 \u00d7 8 ? ( i . e . no . of men required ) = 12 \u00d7 8 \u00d7 10 / 12 \u00d7 8 = 8 days e )\"" + }, + { + "Answer": 463.38, + "Options": "a ) 338 , b ) 277 , c ) 463 , d ) 456 , e ) 271", + "Correct": "c", + "Explanation": "\"d = 60 * 5 / 18 = 35 = 583 \u2013 120 = 463 answer : c\"" + }, + { + "Answer": 90, + "Options": "a ) 229 , b ) 108 , c ) 278 , d ) 126 , e ) 90", + "Correct": "e", + "Explanation": "\"s = 125 / 5 * 18 / 5 = 90 kmph answer : e\"" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 9 , c ) 2 , d ) 11 , e ) none", + "Correct": "a", + "Explanation": "\"1 / 7 + 1 / 14 + 1 / 28 = 7 / 28 = 1 / 4 all three can finish the work in 4 days answer : a\"" + }, + { + "Answer": 27, + "Options": "a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28", + "Correct": "d", + "Explanation": "6 minutes is 360 seconds . lamp a and lamp b will flash together every 24 seconds . 360 / 24 = 15 . in the time period , lamp a and lamp b will flash together 15 times . lamp a and lamp c will flash together every 30 seconds . 360 / 30 = 12 . in the time period , lamp a and lamp c will flash together 12 times . lamp b and lamp c will flash together every 40 seconds . 360 / 40 = 9 . in the time period , lamp b and lamp c will flash together 9 times . all three lights will flash together every 2 * 2 * 2 * 3 * 5 = 120 seconds . 360 / 120 = 3 . we have counted these triple flashes three times , so we need to subtract three times the number of times that all three lights flash together . the number of times that exactly two lights flash together is 15 + 12 + 9 - 9 = 27 times . the answer is d ." + }, + { + "Answer": 9.99920006399488, + "Options": "a ) 6 , b ) 8 , c ) 10 , d ) 12 , e ) 14", + "Correct": "c", + "Explanation": "\"speed = 36 * 5 / 18 = 10 m / s time = 100 / 10 = 10 seconds the answer is c .\"" + }, + { + "Answer": 270.0416, + "Options": "a ) 220 m , b ) 250 m , c ) 280 m , d ) 210 m , e ) 270 m", + "Correct": "e", + "Explanation": "e 270 m" + }, + { + "Answer": 8.4, + "Options": "a ) 7.6 , b ) 7.8 , c ) 8 , d ) 8.2 , e ) 8.4", + "Correct": "e", + "Explanation": "the time to go 42 miles was 22 / 11 + 20 / 10 = 2 + 2 = 4 hours . the average speed for the return trip was 42 miles / 5 hours = 8.4 mph . the answer is e ." + }, + { + "Answer": 70, + "Options": "a ) 90 , b ) 85 , c ) 80 , d ) 60 , e ) 70", + "Correct": "e", + "Explanation": "\"1 . no . of coaches = 9 sqr root = 3 speed decreases by 12 12 = k * 3 k = 4 no . of coaches = 25 swr root = 5 decrease = 5 * 4 = 20 new speed = 90 - 20 = 70 e\"" + }, + { + "Answer": 176, + "Options": "a ) 188 , b ) 176 , c ) 175 , d ) 96 , e ) none of these", + "Correct": "b", + "Explanation": "\"explanation : let the length of train be l m . acc . to question ( 264 + l ) / 20 = l / 8 2112 + 8 l = 20 l l = 2112 / 12 = 176 m answer b\"" + }, + { + "Answer": 26.997840172786177, + "Options": "a ) 5 sec , b ) 39 sec , c ) 27 sec , d ) 15 sec , e ) 18 sec", + "Correct": "c", + "Explanation": "\"speed of the train relative to man = ( 68 - 8 ) kmph = ( 60 * 5 / 18 ) m / sec = ( 50 / 3 ) m / sec time taken by the train to cross the man = time taken by it to cover 450 m at 50 / 3 m / sec = 450 * 3 / 50 sec = 27 sec answer : c .\"" + }, + { + "Answer": 104, + "Options": "a ) 104 miles , b ) 432 miles , c ) 456 miles , d ) 887 miles , e ) 767 miles", + "Correct": "a", + "Explanation": "\"the number of miles to drive to finish his journey is given by 1200 - 1096 = 104 miles correct answer a\"" + }, + { + "Answer": 6, + "Options": "a ) 16 days , b ) 12 days , c ) 8 days , d ) 6 days , e ) 18 days", + "Correct": "d", + "Explanation": "\"number of days taken by ram to complete task = 18 since ram is half as efficient as krish , amount of work done by krish in 1 day = amount of work done by ram in 2 days if total work done by ram in 18 days is 18 w amount of work done by ram in 1 day = w amount of work done by krish in 1 day = 2 w total amount of work done by krish and ram in a day = 3 w total amount of time needed by krish and ram to complete task = 18 w / 3 w = 6 days answer d\"" + }, + { + "Answer": 48, + "Options": "a ) 65 seconds , b ) 46 seconds , c ) 40 seconds , d ) 97 seconds , e ) 48 seconds", + "Correct": "e", + "Explanation": "\"speed = 45 km / hr = 45 * ( 5 / 18 ) m / sec = 25 / 2 m / sec total distance = 360 + 240 = 600 meter time = distance / speed = 600 * ( 2 / 25 ) = 48 seconds answer : e\"" + }, + { + "Answer": 21, + "Options": "a ) $ 22 , b ) $ 3 , c ) $ 15 , d ) $ 21 , e ) $ 30", + "Correct": "d", + "Explanation": "3 hrs 25 min = 205 min first 15 min - - - - - - > $ 2 time left is 190 min . . . now , 60 min costs $ 6 1 min costs $ 6 / 60 190 min costs $ 6 / 60 * 190 = > $ 19 so , total cost will be $ 19 + $ 2 = > $ 21 the answer will be ( d ) $ 21" + }, + { + "Answer": 255, + "Options": "a ) s 255 , b ) s 780 , c ) s 880 , d ) s 480 , e ) s 980", + "Correct": "a", + "Explanation": "\"area of the plot = 110 m * 65 m = 7150 sq . m area of plot excluding gravel = 105 m * 60 m = 6300 sq . m area of gravel = 7150 sq . m - 6300 sq . m = 850 sq . m cost of building it = 850 sq . m * 30 = 25500 p in rs = 25500 / 100 = rs 255 answer : a\"" + }, + { + "Answer": 17.999999999999996, + "Options": "a ) 30 days , b ) 60 days , c ) 18 days , d ) 80 days , e ) 90 days", + "Correct": "c", + "Explanation": "amount of work done by john and andrew in 1 day = 1 / 9 amount of work done by john and andrew in 6 days = 6 \u00e3 \u2014 ( 1 / 9 ) = 2 / 3 remaining work \u00e2 \u20ac \u201c 1 \u00e2 \u20ac \u201c 2 / 3 = 1 / 3 john completes 1 / 3 work in 6 days amount of work john can do in 1 day = ( 1 / 3 ) / 6 = 1 / 18 = > john can complete the work in 18 days answer : c" + }, + { + "Answer": 100, + "Options": "a ) 100 kg , b ) 60 kg , c ) 72 kg , d ) 96 kg , e ) none of these", + "Correct": "a", + "Explanation": "\"explanation : volume of water displaced = ( 5 x 2 x 0.01 ) m 3 = 0.10 m 3 . \u2234 mass of man = volume of water displaced x density of water = ( 0.10 x 1000 ) kg = 100 kg . answer : a\"" + }, + { + "Answer": 100, + "Options": "a ) 1 day , b ) 4 days , c ) 40 days , d ) 100 days , e ) 50 days", + "Correct": "d", + "Explanation": "as 100 cats kill 100 mice in 100 days 1 cats kill 1 mouse in 100 days then 4 cats kill 4 mice in 100 days answer : d" + }, + { + "Answer": 20, + "Options": "a ) 20 , b ) 77 , c ) 36 , d ) 25 , e ) 13", + "Correct": "a", + "Explanation": "\"explanation : less men , means more days { indirect proportion } let the number of days be x then , 27 : 30 : : 18 : x [ please pay attention , we have written 27 : 30 rather than 30 : 27 , in indirect proportion , if you get it then chain rule is clear to you : ) ] { \\ color { blue } x = \\ frac { 30 \\ times 18 } { 27 } } x = 20 so 20 days will be required to get work done by 27 men . answer : a\"" + }, + { + "Answer": 9, + "Options": "a ) 90 seconds , b ) 70 seconds , c ) 60 seconds , d ) 9 minutes , e ) 120 seconds", + "Correct": "d", + "Explanation": "\"2 / 3 filled in 6 mint 1 / 3 filled in 3 mint thn 2 / 3 + 1 / 3 = 6 + 3 = 9 minutes answer : d\"" + }, + { + "Answer": 5.5, + "Options": "a ) 6.5 , b ) 8.6 , c ) 7.5 , d ) 9.2 , e ) 5.5", + "Correct": "e", + "Explanation": "\"28 - - - 4 ds = 7 ? - - - - 1 16 - - - - 4 us = 4 ? - - - - 1 m = ? m = ( 7 + 4 ) / 2 = 5.5 answer : e\"" + }, + { + "Answer": 20, + "Options": "a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36", + "Correct": "a", + "Explanation": "alice and bob complete 200 km / 4 hours = 50 km / hour bob ' s speed is 50 - 30 = 20 km / hour the answer is a ." + }, + { + "Answer": 2.49980001599872, + "Options": "a ) 2.5 sec , b ) 4.25 sec , c ) 5 sec , d ) 12.5 sec , e ) none", + "Correct": "a", + "Explanation": "\"sol . speed = [ 144 x 5 / 18 ] m / sec = 40 m / sec . time taken = ( 100 / 40 ) sec = 2.5 sec . answer a\"" + }, + { + "Answer": 120, + "Options": "a ) 24 km , b ) 30 km , c ) 48 km , d ) 120 km , e ) 15 km", + "Correct": "d", + "Explanation": "\"speed of down stream = 10 + 2 = 12 kmph speed of upstream = 10 - 2 = 8 kmph let the required distance be xkm x / 12 + x / 8 = 25 2 x + 3 x = 600 x = 120 km answer is d\"" + }, + { + "Answer": 3000000, + "Options": "a ) 9800000 , b ) 1000000 , c ) 7500000 , d ) 3000000 , e ) none of these", + "Correct": "d", + "Explanation": "explanation : number = ( 800 * 300 * 600 ) / 8 * 3 * 2 = 3000000 answer : d" + }, + { + "Answer": 6, + "Options": "a ) 3 , b ) 5 , c ) 4 , d ) 2 , e ) 6", + "Correct": "e", + "Explanation": "\"a rate = 1 / 8 b rate = 1 / 24 ( a + b ) rate = ( 1 / 8 ) + ( 1 / 24 ) = 1 / 6 a & b finish the work in 6 days correct option is e\"" + }, + { + "Answer": 11, + "Options": "a ) 8 , b ) 9 , c ) 10 , d ) 11 , e ) 12", + "Correct": "d", + "Explanation": "\"30 / 3 = 10 the three numbers are 9 , 10 , and 11 . the answer is d .\"" + }, + { + "Answer": 24.9980001599872, + "Options": "a ) 2 , b ) 28 , c ) 25 , d ) 99 , e ) 12", + "Correct": "c", + "Explanation": "\"d = 100 + 150 = 250 s = 36 * 5 / 18 = 10 mps t = 250 / 10 = 25 sec . answer : c\"" + }, + { + "Answer": 4.095238095238095, + "Options": "a ) 4.1 hr , b ) 5.25 hr , c ) 8.25 hr , d ) 2.25 hr , e ) 2.50 hr", + "Correct": "a", + "Explanation": "\"speed of boat in still water = 15 km / hr speed of the stream = 6 km / hr speed downstream = ( 15 + 6 ) = 21 km / hr time taken to travel 86 km downstream = 86 \u00e2 \u0081 \u201e 16 = 17 \u00e2 \u0081 \u201e 4 = 4.1 hours answer is a\"" + }, + { + "Answer": 51.997040236781054, + "Options": "a ) 46 , b ) 48 , c ) 50 , d ) 52 , e ) 54", + "Correct": "d", + "Explanation": "\"let the length of the train be x meters . when a train crosses an electric pole , the distance covered is its own length x . speed = 36 km / h = 36000 m / 3600 s = 10 m / s x = 15 * 10 = 150 m . the time taken to pass the platform = ( 150 + 370 ) / 10 = 52 seconds the answer is d .\"" + }, + { + "Answer": 30.000000000000007, + "Options": "a ) 17 hr , b ) 19 hr , c ) 30 hr , d ) 14 hr , e ) 16 hr", + "Correct": "c", + "Explanation": "\"work done by the tank in 1 hour = ( 1 / 3 - 3 1 / 3 ) = 1 / 30 leak will empty the tank in 30 hrs . answer : c\"" + }, + { + "Answer": 30, + "Options": "a ) 24 , b ) 77 , c ) 30 , d ) 25 , e ) 13", + "Correct": "c", + "Explanation": "\"explanation : less men , means more days { indirect proportion } let the number of days be x then , 27 : 45 : : 18 : x [ please pay attention , we have written 27 : 45 rather than 45 : 27 , in indirect proportion , if you get it then chain rule is clear to you : ) ] { \\ color { blue } x = \\ frac { 45 \\ times 18 } { 27 } } x = 30 so 30 days will be required to get work done by 27 men . answer : c\"" + }, + { + "Answer": 33, + "Options": "a ) 33 , b ) 66 , c ) 88 , d ) 100 , e ) 281", + "Correct": "a", + "Explanation": "\"( 27 * 8 ) / 30 = ( x * 6 ) / 50 = > x = 60 60 \u2013 27 = 33 answer : a\"" + }, + { + "Answer": 45, + "Options": "a ) 30 , b ) 20 , c ) 15 , d ) 25 , e ) 45", + "Correct": "e", + "Explanation": "\"let 1 man does 1 unit / hr of work 15 m in 21 days of 8 hrs will do ( 15 * 21 * 8 ) units 3 w = 2 m 1 w = ( 2 / 3 ) units / hr 21 w with 4 hrs a day will take ( 15 * 21 * 8 ) / ( 21 * 4 * ( 2 / 3 ) ) days = > 45 days answer : e\"" + }, + { + "Answer": 12.5, + "Options": "a ) 10 m , b ) 12.5 m , c ) 17.5 m , d ) 21.25 m , e ) none", + "Correct": "b", + "Explanation": "\"let height of the building be x meters 40.25 : 28.75 : : 17.5 < = > 40.25 x x = 28.75 x 17.5 x = 28.75 x 17.5 / 40.25 x = 12.5 answer : option b\"" + }, + { + "Answer": 12.000000000000004, + "Options": "a ) 5 hours , b ) 10 hours , c ) 12 hours , d ) 24 hours , e ) 15 hours", + "Correct": "c", + "Explanation": "x 1 hour ' s work = 1 / 4 ; y + z ' s hour ' s work = 1 / 3 x + y + z ' s 1 hour ' s work = 1 / 4 + 1 / 3 = 7 / 12 y ' s 1 hour ' s work = ( 7 / 12 - 1 / 2 ) = 1 / 12 . y alone will take 12 hours to do the work . c" + }, + { + "Answer": 10, + "Options": "a ) 12 min , b ) 10 min , c ) 15 min , d ) 14 min , e ) 13 min", + "Correct": "b", + "Explanation": "\"due to stoppages , it covers 14 km less . time taken to cover 14 km = ( 14 / 84 x 60 ) min = 10 min answer : b\"" + }, + { + "Answer": 5940, + "Options": "a ) 5942 , b ) 2887 , c ) 5940 , d ) 2888 , e ) 28881", + "Correct": "c", + "Explanation": "answer : c ) 5940" + }, + { + "Answer": 295.973122150228, + "Options": "a ) 295 , b ) 296 , c ) 297 , d ) 298 , e ) 299", + "Correct": "b", + "Explanation": "relative speed = ( 1120 / 12 ) m / s = ( 1120 / 12 ) * ( 18 / 5 ) = 336 kmph speed of goods train = 336 - 40 = 296 kmph answer is b" + }, + { + "Answer": 5, + "Options": "a ) 8 hours , b ) 6 hours , c ) 4 hours , d ) 5 hours , e ) 6 hours", + "Correct": "d", + "Explanation": "still water = 12 km / hr downstream = 45 / 3 = 15 km / hr upstream = > > still water = ( u + v / 2 ) = > > 12 = u + 15 / 2 = 9 km / hr so time taken in upstream = 45 / 9 = 5 hrs answer : d" + }, + { + "Answer": 36, + "Options": "a ) 16 kmph , b ) 88 kmph , c ) 36 kmph , d ) 18 kmph , e ) 19 kmph", + "Correct": "c", + "Explanation": "\"s = 120 / 12 * 18 / 5 = 36 kmph answer : c\"" + }, + { + "Answer": 1.5, + "Options": "a ) 1.5 days , b ) 4.5 days , c ) 7 days , d ) 9.8 days , e ) 9 days", + "Correct": "a", + "Explanation": "explanation : hint : a ' s one day work = 1 / 3 b ' s one day work = 1 / 5 c ' s one day work = 1 / 10 ( a + b + c ) ' s one day work = 1 / 3 + 1 / 5 + 1 / 10 = 1 / 1.5 hence , a , b & c together will take 1.5 days to complete the work . answer is a" + }, + { + "Answer": 6, + "Options": "a ) 5.75 , b ) 6 , c ) 7.25 , d ) 7.5 , e ) 7.75", + "Correct": "b", + "Explanation": "\"let ' s suppose that speed while returning was xkm / h since the distance is same , we can apply the formula of avg speed avg speed = 2 s 1 s 2 / s 1 + s 2 4 = 2 * 3 * x / 3 + x x = 6 b is the answer\"" + }, + { + "Answer": 350.04, + "Options": "a ) 288 , b ) 236 , c ) 350 , d ) 299 , e ) 266", + "Correct": "c", + "Explanation": "d = 72 * 5 / 18 = 25 = 500 \u2013 150 = 299 . answer : c" + }, + { + "Answer": 6, + "Options": "a ) 6 hours , b ) 5 hours , c ) 7 hours , d ) 8 hours , e ) none", + "Correct": "a", + "Explanation": "\"explanation : speed of the truck = distance / time = 376 / 8 = 47 kmph now , speed of car = ( speed of truck + 18 ) kmph = ( 47 + 18 ) = 65 kmph distance travelled by car = 376 + 14 = 390 km time taken by car = distance / speed = 390 / 65 = 6 hours . answer \u2013 a\"" + }, + { + "Answer": 165, + "Options": "a ) 145 , b ) 150 , c ) 175 , d ) 165 , e ) 130", + "Correct": "d", + "Explanation": "1 hr = 20 percent . thus 15 min = 5 percent . now to charge 55 percent 165 min . answer : d" + }, + { + "Answer": 119.99999999999999, + "Options": "a ) 30 , b ) 60 , c ) 90 , d ) 120 , e ) 140", + "Correct": "d", + "Explanation": "\"explanation : number of blocks = ( 160 x 100 x 60 / 20 x 20 x 20 ) = 120 answer : d\"" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 5 , c ) 6 , d ) 9 , e ) 12", + "Correct": "a", + "Explanation": "explanation : if six computers require 9 days to process the data , thats a total of 54 computer - days the product of 6 and 9 . if you change the number of computers or the number of days , 54 will have to remain the product , whether that means 54 days of one computer or one day with 54 computers . in 6 days , the number of computers is : 6 c = 54 c = 9 9 computers is 3 more than the 6 that it took to do the job in 9 days , so the correct choice is ( a ) ." + }, + { + "Answer": 680, + "Options": "a ) 680 , b ) 378 , c ) 267 , d ) 299 , e ) 271", + "Correct": "a", + "Explanation": "\"explanation : area of theplot = 110 * 65 = 7150 sq m area of the plot excluding the path = ( 110 - 5 ) * ( 65 - 5 ) = 6300 sq m area of the path = 7150 - 6300 = 850 sq m cost of gravelling the path = 850 * 80 / 100 = 680 rs answer : a ) 680 rs\"" + }, + { + "Answer": 16, + "Options": "a ) 16 , b ) 40 , c ) 20 , d ) 26 , e ) 30", + "Correct": "a", + "Explanation": "explanation : one bag of husk = 16 cows per day \u21d2 16 \u00d7 1 \u00d7 16 = 1 \u00d7 16 \u00d7 x for one cow = 16 days answer : a" + }, + { + "Answer": 15, + "Options": "a ) 12 , b ) 15 , c ) 18 , d ) 21 , e ) 22", + "Correct": "b", + "Explanation": "explanation : pumps work time 12 1218 99 x 2030 132 = > 1218 / ( 912 * 99 ) = 2020 / ( x \u00d7 132 ) = > x = 15 pumps answer : option b" + }, + { + "Answer": 4, + "Options": "a ) 1 , b ) 3 , c ) 5 , d ) 4 , e ) 6", + "Correct": "d", + "Explanation": "\"explanation : let the required number days be x . less spiders , more days ( indirect proportion ) less webs , less days ( direct proportion ) spiders 1 : 4 | | : : 4 : 1 webs 4 : 1 | = > 1 * 4 * x = 4 * 1 * 4 = > x = 4 answer : d\"" + }, + { + "Answer": 265, + "Options": "a ) 235 miles . , b ) 245 miles . , c ) 255 miles . , d ) 265 miles . , e ) 275 miles .", + "Correct": "d", + "Explanation": "\"the total distance d traveled by john is given by d = 50 * 2 + 3 * 55 = 265 miles . answer d\"" + }, + { + "Answer": 60, + "Options": "a ) 12 kg , b ) 60 kg , c ) 72 kg , d ) 88 kg , e ) 96 kg", + "Correct": "b", + "Explanation": "\"volume of water displaced = ( 3 x 2 x 0.01 ) m 3 = 0.06 m 3 . mass of man = volume of water displaced x density of water = ( 0.06 x 1000 ) kg = 60 kg . answer : option b\"" + }, + { + "Answer": 90, + "Options": "a ) 50 , b ) 60 , c ) 70 , d ) 80 , e ) 90", + "Correct": "e", + "Explanation": "\"1 / 2 * d * ( 14 + 8 ) = 990 d = 90 the answer is e .\"" + }, + { + "Answer": 45, + "Options": "a ) 20 km , b ) 30 km , c ) 45 km , d ) 50 km , e ) 60 km", + "Correct": "c", + "Explanation": "\"number of stops in an hour : 60 / 5 = 12 distance between stops : 60 / 12 = 5 km distance between yahya ' s house and pinedale mall : 5 x 9 = 45 km imo , correct answer is ` ` c . ' '\"" + }, + { + "Answer": 8, + "Options": "a ) 3 , b ) 5 , c ) 8 , d ) 9 , e ) 10", + "Correct": "c", + "Explanation": "\"solution speed in still water = 1 / 2 ( 11 + 5 ) kmph . = 8 kmph . answer c\"" + }, + { + "Answer": 126.00000000000001, + "Options": "a ) 122 , b ) 188 , c ) 126 , d ) 140 , e ) 124", + "Correct": "c", + "Explanation": "\"35 * 18 / 5 = 126 kmph answer : c\"" + }, + { + "Answer": 1665, + "Options": "a ) s . 1014 , b ) s . 1140 , c ) s . 999 , d ) s . 1665 , e ) s . 1020", + "Correct": "d", + "Explanation": "\"a 2 = 3136 = > a = 56 56 * 4 * 3 = 672 \u2013 6 = 666 * 2.5 = 1665 answer : d\"" + }, + { + "Answer": 11.999999999999998, + "Options": "a ) 8 hours , b ) 6 hours , c ) 14 hours , d ) 12 hours , e ) 5 hours", + "Correct": "d", + "Explanation": "\"a ' s 1 hour work = 1 / 6 ; ( b + c ) ' s 1 hour work = 1 / 4 ; ( a + c ) ' s 1 hour work = 1 / 3 ( a + b + c ) ' s 1 hour work = ( 1 / 4 + 1 / 6 ) = 5 / 12 b ' s 1 hour work = ( 5 / 12 - 1 / 3 ) = 1 / 12 b alone will take 12 hours to do the work . answer : d\"" + }, + { + "Answer": 350.048, + "Options": "a ) 350 m , b ) 200 m , c ) 250 m , d ) 270 m , e ) 300 m", + "Correct": "a", + "Explanation": "\"d = 72 * 5 / 18 = 30 = 600 \u00e2 \u20ac \u201c 250 = 350 m answer : a\"" + }, + { + "Answer": 4, + "Options": "a ) 4 th , b ) 5 th , c ) 6 th , d ) 7 th , e ) 8 th", + "Correct": "a", + "Explanation": "2 km / 400 m = 5 . however , the street at the 2 - km mark is not 5 th street ; it is maple street . therefore , the highest numbered street is 4 th street . the answer is a ." + }, + { + "Answer": 4, + "Options": "a ) 5 , b ) 4 , c ) 6 , d ) 7 , e ) 8", + "Correct": "b", + "Explanation": "let 1 man ' s 1 day ' s work = x and 1 women ' s 1 day ' s work = y . then , 6 x + 8 y = 1 and 26 x + 48 y = 1 . 10 2 solving these two equations , we get : x = 1 and y = 1 . 100 200 ( 15 men + 20 women ) ' s 1 day ' s work = 15 + 20 = 1 . 100 200 4 15 men and 20 women can do the work in 4 days . hence answer will be b" + }, + { + "Answer": 144, + "Options": "a ) 144 hours , b ) 124 hours , c ) 134 hours , d ) 154 hours , e ) 164 hours", + "Correct": "a", + "Explanation": "records last 90 min on each of 2 sides , = = > record last 90 * 2 = 180 min = 3 hours 16 full records - - > 16 * 3 = 48 hour broadcast given , 3 hours to translate 1 hour of broadcast let x be the time required to translate 48 hour broadcast ( 16 full records ) x = 48 * 3 = 144 hours answer : a" + }, + { + "Answer": 6, + "Options": "a ) 1 day , b ) 2 days , c ) 7 days , d ) 6 days , e ) 10 days", + "Correct": "d", + "Explanation": "d 6 days the day after last monday was tuesday . if i came home 3 days before that , i came home on saturday , sunday , monday , tuesday , wednesday , and thursday = 6 days ." + }, + { + "Answer": 2, + "Options": "a ) 6 kmph , b ) 5 kmph , c ) 2 kmph , d ) 3 kmph , e ) 4 kmph", + "Correct": "c", + "Explanation": "speed upstream = 49 / 7 = 7 kmph speed down stream = 77 / 7 = 11 kmph speed of stream = \u00bd ( 11 - 7 ) = 2 kmph answer : c" + }, + { + "Answer": 41.42857142857143, + "Options": "a ) 41.4 , b ) 34.1 , c ) 13.4 , d ) 12.4 , e ) 10.8", + "Correct": "a", + "Explanation": "\"break down the problem into two pieces : typing and editing . mary needs 30 hours to type the report - - > mary ' s typing rate = 1 / 30 ( rate reciprocal of time ) ( point 1 in theory below ) ; mary and jim can type up a report in 12.5 and - - > 1 / 30 + 1 / x = 1 / 12.5 = 2 / 25 ( where x is the time needed for jim to type the report alone ) ( point 23 in theory below ) - - > x = 150 / 7 ; jim needs 12 hours to edit the report - - > jim ' s editing rate = 1 / 12 ; mary and jim can edit a report in 7.5 and - - > 1 / y + 1 / 12 = 1 / 7.5 = 2 / 15 ( where y is the time needed for mary to edit the report alone ) - - > y = 20 ; how many t hours will it take if jim types the report and mary edits it immediately after he is done - - > x + y = 150 / 7 + 20 = ~ 41.4 answer : a .\"" + }, + { + "Answer": 90, + "Options": "a ) 95 minutes , b ) 90 minutes , c ) 88 minutes , d ) 95 minutes , e ) none of these", + "Correct": "b", + "Explanation": "explanation : let us consider that speed of train , first man and second man are respectively t , f and s . according to first given condition goods train crossed the first person moving in same direction in 20 sec . so length of the will be 20 ( t - f ) similarly train crossed the second man in 18 sec . so length of the train will be 18 ( t + s ) on comparing these two equations , we get 20 ( t - f ) = 18 ( t + s ) = > 2 t = 20 f + 18 s = > t = 10 f + 9 s now it is given that after 10 min the train crossed the other person who is coming in opposite direction . so , if we consider this way of train as l then the next equation will be l = 600 t ( here 600 is used for 10 minutes ) finally as asked in the question the time required to meet the two man after the train has passed will be given by time = ( l - 600 f ) / ( f + s ) { here 600 f is used for the distance traveled by first man in 10 minutes } = > = ( 600 t - 600 f ) / ( f + s ) = > = [ 600 ( 10 f + 9 s ) - 600 f ] / ( f + s ) = > = 600 ( 10 f + 9 s - f ) / ( f + s ) = 600 * 9 ( f + s ) / ( f + s ) = > = 600 * 9 seconds = > = 600 * 9 / 60 min = > = 90 minutes hence ( b ) is the correct answer . answer : b" + }, + { + "Answer": 16, + "Options": "a ) 10 days , b ) 12 days , c ) 15 days , d ) 16 days , e ) 20 days", + "Correct": "d", + "Explanation": "explanation : 1 work done = 8 \u00d7 20 1 man = 3 / 2 boys 1 boy = 2 / 3 men then , 9 boys = 9 \u00d7 2 / 3 men = 6 men then , 4 men + 9 boys = 10 men then , 8 \u00d7 20 = 10 \u00d7 ? days ? days = 8 \u00d7 20 / 10 = 16 days . answer : option d" + }, + { + "Answer": 20, + "Options": "a ) 12 , b ) 15 , c ) 18 , d ) 20 , e ) 25", + "Correct": "d", + "Explanation": "\"this is a very specific format that has appeared in a handful of real gmat questions , and you may wish to learn to recognize it : here we have a * fixed * distance , and we are given the difference between the times and speeds of two things that have traveled that distance . this is one of the very small number of question formats where backsolving is typically easier than solving directly , since the direct approach normally produces a quadratic equation . say team q ' s speed was s . then team q ' s time is 300 / s . team a ' s speed was then s + 5 , and team a ' s time was then 300 / ( s + 5 ) . we need to find an answer choice for s so that the time of team a is 3 less than the time of team q . that is , we need an answer choice so that 300 / ( s + 5 ) = ( 300 / s ) - 3 . you can now immediately use number properties to zero in on promising answer choices : the times in these questions will always work out to be integers , and we need to divide 300 by s , and by s + 5 . so we want an answer choice s which is a factor of 300 , and for which s + 5 is also a factor of 300 . so you can rule out answers a and c immediately , since s + 5 wo n ' t be a divisor of 300 in those cases ( sometimes using number properties you get to the correct answer without doing any other work , but unfortunately that ' s not the case here ) . testing the other answer choices , if you try answer d , you find the time for team q is 15 hours , and for team a is 12 hours , and since these differ by 3 , as desired , d is correct .\"" + }, + { + "Answer": 30.002399999999998, + "Options": "a ) 10.8 , b ) 18 , c ) 30 , d ) 38.8 , e ) none of these", + "Correct": "c", + "Explanation": "\"explanation : 108 kmph = ( 108 x 5 / 18 ) m / sec = 30 m / s . answer : c\"" + }, + { + "Answer": 99, + "Options": "a ) 60 kmph , b ) 66 kmph , c ) 72 kmph , d ) 99 kmph , e ) 89 kmph", + "Correct": "d", + "Explanation": "given that two trains are of same length i . e . . 150 mtrs first train passes the km stone in 15 seconds . here we have time and distance so speed = 150 / 15 = 10 m / s we need to find out the second train speed . suppose the speed of the 2 nd train is x m / s relative speed of two trains is ( 10 + x ) = = > ( 150 + 150 ) / ( 10 + x ) = 8 = = > ( 300 ) / ( 10 + x ) = 8 = = > 300 = 80 + 8 x = = > 300 - 80 = 8 x = = > 220 = 8 x : - x = 55 / 2 m / s convert m / s into km / ph ( 55 / 2 ) * ( 18 / 5 ) = 99 kmph answer : d" + }, + { + "Answer": 6, + "Options": "a ) 4.5 km , b ) 5.5 km , c ) 6 km , d ) 7 km , e ) none", + "Correct": "c", + "Explanation": "\"sol . average speed = [ 2 * 3 * 2 / 3 + 2 ] km / hr = 12 / 5 km / hr . distance travelled = [ 12 / 5 * 5 ] km = 12 km . \u2234 distance between house and school = [ 12 / 2 ] km = 6 km . answer c\"" + }, + { + "Answer": 10, + "Options": "a ) 20 hr , b ) 10 hr , c ) 5 hr , d ) 4 hr , e ) 15 hr", + "Correct": "b", + "Explanation": "\"net part filled in 1 hour 1 / 5 - 1 / 10 = 1 / 10 the cistern will be filled in 10 hr answer is b\"" + }, + { + "Answer": 13, + "Options": "a ) $ 11.5 . , b ) $ 12 . , c ) $ 13 . , d ) $ 14.5 , e ) $ 15 .", + "Correct": "c", + "Explanation": "charges for 7 hours = ( first hour @ $ 0.50 ) + ( 3 hours @ $ 3 ) + ( 3.5 hours @ $ 1 ) charges for 7 hours = ( 1 @ $ 0.50 ) + ( 3 hours @ $ 3 ) + ( 3.5 hours @ $ 1 ) charges for 7 hours = ( $ 0.50 ) + ( $ 9 ) + ( $ 3.5 ) charges for 7 hours = ( $ 0.50 ) + ( $ 9 ) + ( $ 3.50 ) charges for 7 hours = $ 13 hence correct answer must be ( c )" + }, + { + "Answer": 24, + "Options": "a ) 12 , b ) 42 , c ) 24 , d ) 28 , e ) 26", + "Correct": "c", + "Explanation": "original number of sections = 16 - 3 = 13 original number of students = 24 x 13 = 312 present number of students = 21 x 16 = 336 number of new students admitted = 336 - 312 = 24 so the answer is option c ) 24 ." + }, + { + "Answer": 300, + "Options": "a ) $ 100 , b ) $ 150 , c ) $ 300 , d ) $ 250 , e ) $ 350", + "Correct": "c", + "Explanation": "c ' s 1 day work = ( 1 / 3 ) - ( 1 / 6 + 1 / 8 ) = 1 / 24 a : b : c = 1 / 6 : 1 / 8 : 1 / 24 = 4 : 3 : 1 a ' s share = 600 * 4 / 8 = $ 300 answer is c" + }, + { + "Answer": 7200, + "Options": "a ) 3573 , b ) 3455 , c ) 8600 , d ) 7000 , e ) 7200", + "Correct": "e", + "Explanation": "length of the courtyard = 75 m breadth of the courtyard = 32 m perimeter of the courtyard = 2 ( 75 + 32 ) m = 2 \u00d7 107 m = 214 m distance covered by the boy in taking 4 rounds = 4 \u00d7 perimeter of courtyard = 4 \u00d7 214 = 856 m we know that area of the courtyard = length \u00d7 breadth = 75 \u00d7 32 m 2 = 2400 m 2 for 1 m 2 , the cost of levelling = $ 3 for 2400 m 2 , the cost of levelling = $ 3 \u00d7 2400 = $ 7200 answer : e" + }, + { + "Answer": 72, + "Options": "a ) 72 days , b ) 20 days , c ) 24 days , d ) 36 days , e ) 34 days", + "Correct": "a", + "Explanation": "explanation : ( man + boy ) \u2019 s 1 day \u2019 s work = 1 / 24 their 20 day \u2019 s work = 1 / 24 \u00d7 20 = 5 / 6 the remaining 1 / 6 work is done by the man in 6 days therefore , the man alone will finish the work in 6 \u00d7 6 days = 36 days man \u2019 s 1 day \u2019 s work = 1 / 36 therefore , boy \u2019 s 1 day \u2019 s work = 1 / 24 \u2013 1 / 36 = 3 \u2013 2 / 72 = 1 / 72 therefore , the boy alone will finish the work in 72 days . answer : option a" + }, + { + "Answer": 12, + "Options": "a ) 3 , b ) 4.5 , c ) 4 , d ) d ) 12 , e ) e ) 5", + "Correct": "d", + "Explanation": "the table you made does n ' t make sense to me . all three meet at the same point means the distance they cover is the same . we know their rates are 30 , 40 and 60 . say the time taken by b is t hrs . then a takes 6 + t hrs . and we need to find the time taken by k . distance covered by a = distance covered by b 30 * ( 6 + t ) = 40 * t t = 18 hrs distance covered by b = distance covered by k 40 * t = 60 * time taken by k time taken by k = 40 * 18 / 60 = 12 hrs time taken by a = 6 + t = 6 + 18 = 24 hrs time taken by k = 12 hrs so k starts 24 - 12 = 12 hrs after a . ( answer d )" + }, + { + "Answer": 16, + "Options": "a ) 4 , b ) 8 , c ) 16 , d ) 32 , e ) 36", + "Correct": "c", + "Explanation": "explanation : there is more than 1 way to approach the solution ; however , i will detail the easiest way to go about it here . we want to find the ratio of time taken for nth round : time taken for ( n - 1 ) th round it will be same as finding the ratio of time taken for 2 nd round : time taken for 1 st round . 1 round = circumference of the circle = 2 \u03c0 r 1 st round : speed = \u03c0 r for 30 seconds . so , total distance travelled = \u03c0 r / 2 . speed = \u03c0 r / 2 for 1 minute . so , total distance travelled = \u03c0 r / 2 . speed = \u03c0 r / 4 for 2 minutes . so , total distance travelled = \u03c0 r / 2 . speed = \u03c0 r / 8 for 4 minutes . so , total distance travelled = \u03c0 r / 2 . so , for a distance of 2 \u03c0 r , time taken is 7.5 minutes . 2 nd round : speed = \u03c0 r / 16 for 8 minutes . so , total distance travelled = \u03c0 r / 2 . speed = \u03c0 r / 32 for 16 minutes . so , total distance travelled = \u03c0 r / 2 . speed = \u03c0 r / 64 for 32 minutes . so , total distance travelled = \u03c0 r / 2 . speed = \u03c0 r / 128 for 64 minutes . so , total distance travelled = \u03c0 r / 2 . so , for a distance of 2 \u03c0 r , time taken is 120 minutes . ratio is 120 : 7.5 = 16 : 1 . answer : c" + }, + { + "Answer": 45, + "Options": "a ) 21 , b ) 22 , c ) 20 , d ) 45 , e ) 30", + "Correct": "d", + "Explanation": "2 nd day he earns = 3 ( 2 \u2013 5 ) 3 rd day he earns = 3 ( 3 \u2013 5 ) on 20 th day he earns 3 ( 20 - 5 ) = 45 rupees answer : d" + }, + { + "Answer": 48, + "Options": "a ) 12 sec , b ) 24 sec , c ) 48 sec , d ) 60 sec , e ) none", + "Correct": "c", + "Explanation": "solution relative speed = ( 45 + 30 ) km / hr = ( 75 x 5 / 18 ) m / sec = ( 125 / 6 ) m / sec total distance covered = ( 500 + 500 ) m = 1000 m required time = ( 1000 x 6 / 125 ) sec = 48 sec answer c" + }, + { + "Answer": 249.99999999999997, + "Options": "a ) 223 , b ) 376 , c ) 250 , d ) 378 , e ) 271", + "Correct": "c", + "Explanation": "let xx be the distance between a and b . since susan covered 80 km in 2 hours , her speed was v = 802 = 40 v = 802 = 40 km / hr . if she continued at the same speed she would be 1515 minutes late , i . e . the planned time on the road is x 40 \u2212 1560 x 40 \u2212 1560 hr . the rest of the distance is ( x \u2212 80 ) ( x \u2212 80 ) km . v = 40 + 10 = 50 v = 40 + 10 = 50 km / hr . so , she covered the distance between a and b in 2 + x \u2212 80502 + x \u2212 8050 hr , and it was 36 min less than planned . therefore , the planned time was 2 + x \u2212 8050 + 36602 + x \u2212 8050 + 3660 . when we equalize the expressions for the scheduled time , we get the equation : x 40 \u2212 1560 = 2 + x \u2212 8050 + 3660 x 40 \u2212 1560 = 2 + x \u2212 8050 + 3660 x \u2212 1040 = 100 + x \u2212 80 + 3050 x \u2212 1040 = 100 + x \u2212 80 + 3050 x \u2212 104 = x + 505 x \u2212 104 = x + 505 5 x \u2212 50 = 4 x + 2005 x \u2212 50 = 4 x + 200 x = 250 x = 250 so , the distance between cities a and b is 250 km . answer : c" + }, + { + "Answer": 6, + "Options": "a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 9", + "Correct": "b", + "Explanation": "here when he step down 26 steps he has 30 seconds for remaining steps . if he step down 34 stairs he has only 18 sec . 30 - 18 = 12 12 secs for 8 steps . . 18 secs for 12 steps . 12 + 34 = 46 so ans is 46 . . answer : b" + }, + { + "Answer": 20, + "Options": "a ) 30 , b ) 10 , c ) 15 , d ) 20 , e ) 25", + "Correct": "d", + "Explanation": "net speed = 3 + 2 = 5 m / sec distance = 100 m time = 100 / 5 = 20 sec answer d" + }, + { + "Answer": 10, + "Options": "a ) 10 kmph , b ) 20 kmph , c ) 30 kmph , d ) 40 kmph , e ) 50 kmph", + "Correct": "a", + "Explanation": "a 10 kmph time left = 10 - 3 / 5 * 10 = 4 hr 10 km / h speed = 40 km / 4 hr = 10 kmph" + }, + { + "Answer": 22.79817614590833, + "Options": "a ) 36.7 , b ) 26.8 , c ) 22.8 , d ) 21.1 , e ) 16.2", + "Correct": "c", + "Explanation": "d = 200 + 180 = 380 m s = 60 * 5 / 18 = 50 / 3 t = 380 * 3 / 50 = 22.8 sec answer : c" + }, + { + "Answer": 245, + "Options": "a ) 150 , b ) 200 , c ) 188 , d ) 245 , e ) 123", + "Correct": "d", + "Explanation": "the tailors would need to cut the fabric 49 times thus the total amount spent would be 245 minutes . the answer is d" + }, + { + "Answer": 11.25, + "Options": "a ) 5.75 , b ) 7.62 , c ) 11.25 , d ) 4.25 , e ) 3.25", + "Correct": "c", + "Explanation": "\"speed of bus relative to woman = 21 + 3 = 24 km / hr . = 24 * 5 / 18 = 20 / 3 m / sec . time taken to pass the woman = 75 * 3 / 20 = 11.25 sec . answer : c\"" + }, + { + "Answer": 45.00000000000001, + "Options": "a ) 30 , b ) 35 , c ) 40 , d ) 45 , e ) 50", + "Correct": "d", + "Explanation": "pipe a fills 1 / 30 th of the tank in a minute and pipe b empties 1 / 90 th of the tank ( 1 / 30 ) - ( 1 / 90 ) = ( 1 / x ) 2 / 90 = 1 / x = > x = 45 answer : d" + }, + { + "Answer": 3, + "Options": "a ) 1 1 / 5 days , b ) 2 days , c ) 2 1 / 5 days , d ) 3 days , e ) 4 days", + "Correct": "d", + "Explanation": "answer : option ' d ' that is , 1 girl can do one time of the work in 3 days . therefore , 7 girls can do 7 times work in the same 3 days itself ." + }, + { + "Answer": 501, + "Options": "a ) 500 , b ) 501 , c ) 502 , d ) 503 , e ) 504", + "Correct": "b", + "Explanation": "length after removing pole is 12 / 3 = 4 then before removing pole is 2 ( ' coz | 2 | 2 | is | 4 | ) i . e . gap between two poles is 2 m 1 km = 1000 m then split 1000 m by 2 m = > we have 500 sections or gaps then no . of poles is 500 + 1 st pole = 501 poles therefore n = 501 . answer : b" + }, + { + "Answer": 132, + "Options": "a ) 115 , b ) 120 , c ) 124 , d ) 130 , e ) 132", + "Correct": "e", + "Explanation": "at 12 : 24 - minute hand will be at 24 * 6 = 144 degrees from position of 12 . - hour hand will move by 2 * 6 = 12 degree during the same time so the difference between the two hands will be 144 - 12 = 132 degrees . answer : e" + }, + { + "Answer": 3576, + "Options": "a ) 2534 , b ) 3545 , c ) 3521 , d ) 4564 , e ) 3576", + "Correct": "e", + "Explanation": "let the length of the train be l metres and speeds of the train arun and sriram be r , a and s respectively , then - - - - - - - - - - ( i ) and - - - - - - - - - ( ii ) from eq . ( i ) and ( ii ) 3 ( r - a ) = 2 ( r + k ) r = 3 a + 2 k in 30 minutes ( i . e 1800 seconds ) , the train covers 1800 r ( distance ) but the arun also covers 1800 a ( distance ) in the same time . therefore distance between arun and sriram , when the train has just crossed sriram = 1800 ( r - a ) - 24 ( a + k ) time required = = ( 3600 - 24 ) = 3576 s e" + }, + { + "Answer": 120, + "Options": "a ) 100 , b ) 105 , c ) 110 , d ) 115 , e ) 120", + "Correct": "e", + "Explanation": "let x be the distance from his house to the school . x / 10 = x / 12 + 2 6 x = 5 x + 120 x = 120 km the answer is e ." + }, + { + "Answer": 2.6666666666666665, + "Options": "a ) 8 / 5 , b ) 8 / 3 , c ) 3 / 5 , d ) 5 / 8 , e ) 5 / 3", + "Correct": "b", + "Explanation": "let the man ' s rate upstream be x kmph and that downstream be y kmph . then , distance covered upstream in 8 hrs 48 min = distance covered downstream in 4 hrs . 44 * x / 5 = 4 * y y = 11 / 5 * x required ratio = ( y + x ) / 2 : ( y - x ) / 2 = 8 / 5 : 3 / 5 = 8 / 3 ans - b" + }, + { + "Answer": 12, + "Options": "a ) 12 , b ) 15 , c ) 16 , d ) 18 , e ) 20", + "Correct": "a", + "Explanation": "10 men - working 2 hrs - cut 10 trees 1 men - working 1 hr - cuts = 10 / 10 * 2 thus 8 men - working 3 hrs - cut = 10 * 8 * 3 / 10 * 2 = 12 trees answer is a" + }, + { + "Answer": 30, + "Options": "a ) 10 , b ) 20 , c ) 30 , d ) 40 , e ) 50", + "Correct": "c", + "Explanation": "man and days concept . . . 6 m * 80 d = m * 16 d solve it , total no of people required is 30 ; answer : c" + }, + { + "Answer": 120, + "Options": "a ) 100 mlies , b ) 120 miles , c ) 90 miles , d ) 95 miles , e ) 110 miles", + "Correct": "b", + "Explanation": "time taken by lewis to reach tirupati = 160 / 80 = 2 hours in 2 hours , david travels 60 * 2 = 120 miles so distance at which they meet should be greater than 120 miles . only b satisfies . answer is b ." + }, + { + "Answer": 57.5, + "Options": "a ) 56 , b ) 57.5 , c ) 58.9 , d ) 61.4 , e ) 62", + "Correct": "b", + "Explanation": "the total distance is 1 \u00d7 50 + 3 \u00d7 60 = 2301 \u00d7 50 + 3 \u00d7 60 = 230 . and the total time is 4 hours . hence , average speed = ( total distancetotal time ) = 2304 = 57.5 b" + }, + { + "Answer": 11.999999999999998, + "Options": "a ) 23 , b ) 22 , c ) 12 , d ) 24 , e ) 25", + "Correct": "c", + "Explanation": "a can finish 1 work in 20 days b can finish 1 / 1.5 work in 20 days - since a is 1.5 faster than b this means b can finish 1 work in 20 * 1.5 days = 30 days now using the awesome gmat formula when two machines work together they can finish the job in = ab / ( a + b ) = 20 * 30 / ( 20 + 30 ) = 20 * 30 / 50 = 12 days so answer is c" + }, + { + "Answer": 9, + "Options": "a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 10", + "Correct": "d", + "Explanation": "we can determine quickly that total number should range between 1020 / 160 < = n < = 1020 / 90 , so ans should be between 6 and 12 . now solving the expression 160 a + 90 b = 1020 decreasing 1020 by multiples of 160 and checking divisibility of that number by 9 , we get fast song plays for 3 minutes and slow somg plays for 6 minutes , 3 * 160 + 6 * 90 = 1020 hence total number of minutes stream of music plays is 3 + 6 = 9 minutes ans d" + }, + { + "Answer": 40, + "Options": "a ) 27 , b ) 87 , c ) 40 , d ) 18 , e ) 17", + "Correct": "c", + "Explanation": "explanation : let distance = x km and usual rate = y kmph . then , x / y - x / ( y + 3 ) = 40 / 60 - - > 2 y ( y + 3 ) = 9 x - - - - - ( i ) also , x / ( y - 2 ) - x / y = 40 / 60 - - > y ( y - 2 ) = 3 x - - - - - - - - ( ii ) on dividing ( i ) by ( ii ) , we get : x = 40 km . answer : c" + }, + { + "Answer": 176, + "Options": "a ) 176 , b ) 124 , c ) 224 , d ) 186 , e ) 190", + "Correct": "a", + "Explanation": "\"length = 5 m 44 cm = 544 cm breadth = 3 m 74 cm = 374 cm area = 544 * 374 hcf = 34 area of square = 34 * 34 cm 2 no of tiles req = 544 * 374 / 34 * 34 = 16 * 11 = 176 answer a\"" + }, + { + "Answer": 70, + "Options": "a ) 42 , b ) 56 , c ) 70 , d ) 98 , e ) 140", + "Correct": "c", + "Explanation": "we are told that : generallya cyclist ' s speed varies , depending on the terrain , between 6.0 miles per hour and 14.0 miles per hour , inclusive . is it possible the cyclist to travel with maximum speed for some time ? why not , if there is right terrain for that . so , if there is long enough terrain for the maximum speed of 14 mph then the maximum distance , in miles , that the cyclist could travel in 5 hours would be 5 * 14 = 70 miles . answer : c ." + }, + { + "Answer": 4.5, + "Options": "['a ) 2.5 m', 'b ) 3.5 m', 'c ) 1.5 m', 'd ) 4.5 m', 'e ) 5.5 m']", + "Correct": "d", + "Explanation": "2 ( 7.5 + 3.5 ) \u00d7 h = 99 2 ( 11 ) h = 99 22 h = 99 h = 99 / 22 = 9 / 2 = 4.5 m answer is d ." + }, + { + "Answer": 12.080402010050252, + "Options": "a ) 11 , b ) 12 , c ) 13 , d ) 14 , e ) 15", + "Correct": "b", + "Explanation": "the answer is 12 rows . if 59 schools send 34 students each , then we can sit at most 5 groups of students in the same row , so we will need 12 rows . next , 12 rows are sufficient . assume that this is not the case . suppose the groups of students are seated like this : first the largest group , then the second largest group , then the third largest group , etc . suppose we run out of space - there are not enough seats in any row to seat together the next group . suppose the first group that can not be seated together is the kth group and it consists of n students . then k 61 since any row fits at least 5 groups . also , n 2006 / k 2006 / 61 < 33 ( all groups already seated are no smaller than the kth group ) . so , n 32 . since there is not enough space in any of the 12 rows to seat the kth group , then there must be at least 168 students seated in each of the 12 rows . now , 12 \u00d7 168 = 2016 > 2006 a contradiction . so , 12 rows are sufficient . correct answer b" + }, + { + "Answer": 153600, + "Options": "['a ) 1536 m 2', 'b ) 15360 m 2', 'c ) 153600 m 2', 'd ) 163600 m 2', 'e ) none of these']", + "Correct": "c", + "Explanation": "perimeter = distance covered in 8 min = ( 12000 / 60 * 8 ) m = 1600 m let , length = 3 x meters and breadth = 2 x meters then , 2 ( 3 x + 2 x ) = 1600 or x = 160 therefore , length = 480 m and breadth = 320 m therefore , area = ( 480 * 320 ) m 2 = 153600 m 2 answer : c" + }, + { + "Answer": 400, + "Options": "a ) 400 m , b ) 200 m , c ) 100 m , d ) 89 m , e ) 79 m", + "Correct": "a", + "Explanation": "more days , more length ( direct ) less breadth , more length ( indirect ) more depth , less length ( indirect days 10 : 30 ; breadth 25 : 50 ; : : 100 : x depth 15 : 10 ; : . 10 * 25 * 15 * x = 30 * 50 * 10 * 100 x = ( 30 * 50 * 10 * 100 ) / 10 * 25 * 15 = 400 so the required length = 400 m answer : a" + }, + { + "Answer": 24.000000000000007, + "Options": "a ) 22 days , b ) 21 days , c ) 25 days , d ) 24 days , e ) 23 days", + "Correct": "d", + "Explanation": "here lcm of 12 and 16 is taken as total work . ( becomes easy to solve ) assume total work = 48 units then workdone by ( a + b ) in one day = 48 / 12 = 4 units similarly , by ( b + c ) in one day = 48 / 16 = 3 units now according to question , a works 5 days , b for 7 days and c for 13 days to complete total work so , 5 a + 7 b + 13 c = 48 units 5 ( a + b ) + 2 ( b + c ) + 11 c = 48 units 5 * 4 + 2 * 3 + 11 c = 48 units 11 c = 22 units c = 2 units ( c does 2 units of work daily ) therefore , 48 / 2 = 24 days c requires 24 days to complete the work alone . answer d" + }, + { + "Answer": 1250, + "Options": "a ) 600 , b ) 750 , c ) 1000 , d ) 1250 , e ) none of these", + "Correct": "d", + "Explanation": "\"speed = ( 5 * 5 / 18 ) m / sec = 25 / 18 m / sec . distance covered in 15 minutes = ( 25 / 18 * 15 * 60 ) m = 1250 m . correct option : d\"" + }, + { + "Answer": 68, + "Options": "a ) 76 kmph , b ) 68 kmph , c ) 87 kmph , d ) 56 kmph , e ) 10 kmph", + "Correct": "b", + "Explanation": "length of the two trains = 600 m + 400 m speed of the first train = x speed of the second train = 48 kmph 1000 / x - 48 = 180 1000 / x - 48 * 5 / 18 = 180 50 = 9 x - 120 x = 68 kmph answer : b" + }, + { + "Answer": 150, + "Options": "a ) 150 km , b ) 200 km , c ) 250 km , d ) 125 km , e ) 155 km", + "Correct": "a", + "Explanation": "p ___ 50 _____ r ___ 50 _____ s ____ 50 ___ q the above figure gives the locations of p , r , s & q in relation to each other . answer : a" + }, + { + "Answer": 400, + "Options": "a ) 300 , b ) 400 , c ) 500 , d ) 600 , e ) 700", + "Correct": "b", + "Explanation": "2 ( l + 300 ) = 1400 = > l = 400 m answer : b" + }, + { + "Answer": 833, + "Options": "a ) 833 , b ) 765 , c ) 665 , d ) 679 , e ) 874", + "Correct": "a", + "Explanation": "step one : first you want to make 3 trips of 1,000 grapes 333 kilometers . you will be left with 2,001 grapes and 667 kilometers to go . step two : next you want to take 2 trips of 1,000 grapes 500 kilometers . you will be left with 1,000 grapes and 167 kilometers to go ( you have to leave a grape behind ) . step three : finally , you travel the last 167 kilometers with one load of 1,000 grapes and are left with 833 grapes in appleland . correct answer is a ) 833" + }, + { + "Answer": 46, + "Options": "a ) 43 , b ) 44 , c ) 45 , d ) 40 , e ) 46", + "Correct": "e", + "Explanation": "26 steps 30 seconds and for 34 steps only 18 seconds left to reach botto . means he covered 8 steps ( i . e . 34 - 26 ) in 12 ( i . e 30 - 18 ) seconds the spped of the boy is 8 steps in 12 seconds after further simplyfy . . 2 steps in 3 seconds after 34 steps only 18 seconds , means 12 more steps are left total steps are 34 + 12 = 46 answer : e" + }, + { + "Answer": 44, + "Options": "a ) 22 hours , b ) 30 hours , c ) 44 hours , d ) 60 hours , e ) it can not be determined from the information above .", + "Correct": "c", + "Explanation": "say the rates of machines a , b and c are a , b , and c , respectively . together 15 type a machines and 7 type b machines can complete a certain job in 4 hours - - > 15 a + 7 b = 1 / 4 ; together 8 type b machines and 15 type c machines can complete the same job in 11 hours - - > 8 b + 15 c = 1 / 11 . sum the above : 15 a + 15 b + 15 c = 1 / 4 + 1 / 11 = 15 / 44 - - > reduce by 15 : a + b + c = 1 / 44 - - > so , the combined rate of the three machines is 1 / 44 job / hour - - > time is reciprocal of the rate , thus machines a , b and c can do the job e in 44 hours . answer : c ." + }, + { + "Answer": 6, + "Options": "a ) 5 hours , b ) 3 hours , c ) 6 hours , d ) 12 hours , e ) 15 hours", + "Correct": "c", + "Explanation": "at 3 / 4 th of speed he is late by ' 2 hrs ' x - 3 / 4 ( x ) = 2 x = 8 so 8 - 2 = 6 hrs ( since 2 hrs late ) answer : c" + }, + { + "Answer": 6400, + "Options": "a ) 6400 , b ) 3777 , c ) 2679 , d ) 2667 , e ) 1997", + "Correct": "a", + "Explanation": "\"to solve this type of question , simply divide the volume of wall with the volume of brick to get the numbers of required bricks so lets solve this number of bricks = volume of wall / volume of 1 brick = 800 \u2217 600 \u2217 22.5 / 25 \u2217 11.25 \u2217 6 = 6400 answer : a\"" + }, + { + "Answer": 110, + "Options": "a ) 75 , b ) 82 , c ) 100 , d ) 110 , e ) 120", + "Correct": "d", + "Explanation": "originally let there be x men . less men , more days ( indirect ) : . ( x - 10 ) : x : : 100 : 110 or x - 10 / x = 100 / 110 or 11 x - 110 = 10 x or x = 110 so , originally there were 110 men . answer : d" + }, + { + "Answer": 25, + "Options": "a ) 25 , b ) 30 , c ) 35 , d ) 40 , e ) 45", + "Correct": "a", + "Explanation": "for the 15 minutes the motor - cyclist continues to overtake the cyclist , she is going at 30 miles per hour faster than the cyclist . once the motor - cyclist stops , the cyclist is going at 18 miles per hour while the motor - cyclist is at rest so the amount of time the cyclist will take to cover the distance between them is going to be in the ratio of the relative speeds . 30 / 18 * 15 or 25 minutes answer is ( a )" + }, + { + "Answer": 45, + "Options": "a ) 65 , b ) 60 , c ) 55 , d ) 50 , e ) 45", + "Correct": "e", + "Explanation": "let x = length of pool at first meeting , combined distance = x at second meeting , combined distance = 3 x if andy swims 18.5 m of x , then he will swim 3 * 18.5 = 55.5 m of 3 x andy ' s total distance to second meeting = x + 10.5 m x + 10.5 = 55.5 m x = 45 m e" + }, + { + "Answer": 552, + "Options": "a ) 550 , b ) 500 , c ) 552 , d ) 560 , e ) 580", + "Correct": "c", + "Explanation": "dist 1 st hr = 35 km speed of bus by 2 kmph 2 nd hr = 37 km 3 rd hr = 39 km tot = 35 + 37 + 39 + . . . . ( 12 terms ) 12 / 2 ( 2 * 35 + ( 12 - 1 ) 2 ] = 6 * 92 = 552 answer c" + }, + { + "Answer": 5, + "Options": "a ) 6 , b ) 8 , c ) 2 , d ) 5 , e ) 4", + "Correct": "d", + "Explanation": "explanation : mary and her sister complete half work in 2.5 days = > they can complete whole work in 5 days answer : option d" + }, + { + "Answer": 10, + "Options": "a ) 12 , b ) 15 , c ) 8 , d ) 10 , e ) 11", + "Correct": "d", + "Explanation": "( a + b ) work in 1 day = 1 / 20 , ( b + c ) work in 1 days = 1 / 15 . , ( c + a ) work in 1 days = 1 / 12 ( 1 ) adding = 2 [ a + b + c ] in 1 day work = [ 1 / 20 + 1 / 15 + 1 / 12 ] = 1 / 5 ( a + b + c ) work in 1 day = 1 / 10 so , all three together finish work in 10 days answer d" + }, + { + "Answer": 13, + "Options": "a ) 25 days , b ) 13 days , c ) 14 days , d ) 20 days , e ) 15 days", + "Correct": "b", + "Explanation": "\"the ratio of times taken by a and b = 100 : 130 = 10 : 13 suppose b can do work in x days then 10 : 13 : : 23 : x x = ( 23 * 13 ) / 10 x = 299 / 10 a ' s 1 day ' s work = 1 / 23 b ' s 1 day ' s work = 10 / 299 ( a + b ) ' s 1 day ' s work = 1 / 23 + 10 / 299 = 23 / 299 = 1 / 13 a and b together can do work in 13 days answer ( b )\"" + }, + { + "Answer": 320, + "Options": "a ) 170 m , b ) 100 m , c ) 270 m , d ) 320 m , e ) 350 m", + "Correct": "d", + "Explanation": "\"explanation : relative speed = ( 72 - 36 ) x 5 / 18 = 2 x 5 = 10 mps . distance covered in 32 sec = 32 x 10 = 320 m . the length of the faster train = 320 m . answer is d\"" + }, + { + "Answer": 10, + "Options": "a ) 5 , b ) 30 , c ) 10 , d ) 12 , e ) 15", + "Correct": "c", + "Explanation": "speed = 4.5 * 5 / 18 = 1.25 m / sec time taken = 750 / 1.25 = 600 sec ie . 10 mins . answer : c" + }, + { + "Answer": 240, + "Options": "a ) 240 , b ) 230 , c ) 260 , d ) 220 , e ) 340", + "Correct": "a", + "Explanation": "let the distance travelled be x km . total time = ( x / 2 ) / 40 + ( x / 2 ) / 10 = 15 = > x / 80 + x / 20 = 15 = > ( x + 4 x ) / 80 = 15 = > x = 240 km answer : a" + }, + { + "Answer": 12, + "Options": "a ) 11 hours , b ) 12 hours , c ) 15 hours , d ) 16 hours , e ) 17 hours", + "Correct": "b", + "Explanation": "the part of the tank filled by three pipes in one hour = 1 / 8 = > the part of the tank filled by two pipes in 1 hour = 2 / 3 * 1 / 8 = 1 / 12 . the tank can be filled in 12 hours . answer : b" + }, + { + "Answer": 720.0000000000002, + "Options": "a ) 720 , b ) 600 , c ) 660 , d ) 6000 , e ) none of these", + "Correct": "a", + "Explanation": "explanation : let the number of bricks be ' n ' 10 x 4 / 100 x 6 x 90 / 100 = 25 / 100 x 15 / 100 x 8 / 100 x n 10 x 4 x 6 x 90 = 15 x 2 x n = > n = 720 . answer is a" + }, + { + "Answer": 16, + "Options": "a ) 12 , b ) 14 , c ) 15 , d ) 16 , e ) 20", + "Correct": "d", + "Explanation": "hcf x lcm = product of numbers 8 x 48 = 24 x the other number other number = ( 8 x 48 ) / 24 other number = 16 answer : d" + }, + { + "Answer": 17, + "Options": "a ) 15 th , b ) 16 th , c ) 17 th , d ) 18 th , e ) 19 th", + "Correct": "c", + "Explanation": "4.5 km / 250 m = 18 . however , the street at the 4.5 - km mark is not 18 th street ; it is turner street . therefore , the highest numbered street is 17 th street . the answer is c ." + }, + { + "Answer": 300, + "Options": "a ) 120 m , b ) 300 m , c ) 190 m , d ) 150 m , e ) 160 m", + "Correct": "b", + "Explanation": "60 kmph = 50 / 3 m / sec 50 / 3 * 18 = 300 m answer : b" + }, + { + "Answer": 50, + "Options": "a ) 120 litres , b ) 57 litres , c ) 60 litres , d ) 50 litres , e ) 100 litres", + "Correct": "d", + "Explanation": "m 1 = 50 litres m 2 = 100 litres m 3 = 150 litres required measurement = h . c . f . of m 1 , m 2 , m 3 = 50 litres answer is d" + }, + { + "Answer": 999.5976625058432, + "Options": "['a ) 1000', 'b ) 2788', 'c ) 2677', 'd ) 2899', 'e ) 2771']", + "Correct": "a", + "Explanation": "2 * 22 / 7 * 1.75 * x = 11000 x = 1000 answer : a" + }, + { + "Answer": 90, + "Options": "['a ) 60', 'b ) 70', 'c ) 80', 'd ) 90', 'e ) 100']", + "Correct": "d", + "Explanation": "the volume the tank is : length * width * depth = 9 * 8 * 5 = 360 cubic feet . 360 cubic feet / 4 cubic feet per hour = 90 hours . it will take 90 hours to fill the tank . the answer is d ." + }, + { + "Answer": 3.6, + "Options": "a ) 1.2 km , b ) 1.8 km , c ) 2.4 km , d ) 3.6 km , e ) none", + "Correct": "d", + "Explanation": "\"speed downstream = ( 15 + 3 ) km / hr = 18 km / hr . distance travelled = ( 18 x 12 / 60 ) hours = 3.6 km . answer d\"" + }, + { + "Answer": 14.999999999999998, + "Options": "a ) 60 days , b ) 15 days , c ) 6 days , d ) 51 days , e ) 50 days", + "Correct": "b", + "Explanation": "two men and 7 children complete a certain piece of work in 4 days or 8 men and 28 children complete a certain piece of work in 1 days 4 men and 4 children complete the same work in only 3 days . or 12 men and 12 children complete the same work in only 3 days . so 8 men + 28 children = 12 men + 12 children 1 man = 4 children 4 men and 4 children complete the same work in only 3 days or 4 men and 1 man ( in place of 4 children ) complete the same work in only 3 days or 5 men complete the same work in 3 days or 1 man will complete the same work in 5 * 3 = 15 days answer : b" + }, + { + "Answer": 80, + "Options": "['a ) 75 %', 'b ) 80 %', 'c ) 100 %', 'd ) 120 %', 'e ) 125 %']", + "Correct": "b", + "Explanation": "b . for p , r = 8 / 2 pi . its capacity = ( 4 pi ) ^ 2 * 10 = 160 pi for b , r = 10 / pi . its capacity = ( 5 pi ) ^ 2 * 8 = 200 pi p / b = 160 pi / 200 pi = 0.8" + }, + { + "Answer": 46, + "Options": "a ) 44 , b ) 45 , c ) 46 , d ) 47 , e ) 48", + "Correct": "c", + "Explanation": "( s 1 * t 2 ~ s 2 * t 1 ) / ( t 2 ~ t 1 ) = ( 26 * 18 ~ 34 * 30 ) / ( 18 ~ 30 ) = 46 answer : c" + }, + { + "Answer": 23, + "Options": "a ) 9 , b ) 17 , c ) 23 , d ) 45 , e ) 12", + "Correct": "c", + "Explanation": "458 - 435 = 23 . answer is c ." + }, + { + "Answer": 6, + "Options": "a ) 2 , b ) 5 , c ) 8 , d ) 6 , e ) 4", + "Correct": "d", + "Explanation": "\"let x be the number of roses . then the number of birches is 24 \u2212 x , and the number of boys is 3 \u00d7 ( 24 \u2212 x ) . if each girl planted 3 roses , there are x 3 girls in the class . we know that there are 24 students in the class . therefore x 3 + 3 ( 24 \u2212 x ) = 24 x + 9 ( 24 \u2212 x ) = 3 \u22c5 24 x + 216 \u2212 9 x = 72 216 \u2212 72 = 8 x 1448 = x 1 x = 18 so , students planted 18 roses and 24 - x = 24 - 18 = 6 birches . correct answer is d ) 6\"" + }, + { + "Answer": 39.999999999999964, + "Options": "a ) 50 , b ) 40 , c ) 30 , d ) 20 , e ) 10", + "Correct": "b", + "Explanation": "explanation : work done by 4 men and 6 women in 1 day = 1 / 8 work done by 3 men and 7 women in 1 day = 1 / 10 let 1 man does m work in 1 day and 1 woman does w work in 1 day . the above equations can be written as 4 m + 6 w = 1 / 8 - - - ( 1 ) 3 m + 7 w = 1 / 10 - - - ( 2 ) solving equation ( 1 ) and ( 2 ) , we get m = 11 / 400 and w = 1 / 400 amount of work 10 women can do in a day = 10 \u00d7 ( 1 / 400 ) = 1 / 40 ie , 10 women can complete the work in 40 days answer : option b" + }, + { + "Answer": 90, + "Options": "a ) 90 , b ) 80 , c ) 75 , d ) 60 , e ) 65", + "Correct": "a", + "Explanation": "let x per minute be the speed of c and y per minute be the speed of d . after meeting at a point , c travels for 32 mins and d travels for 50 mins . so distance covered by each of them post point of crossing c = 32 x and d = 50 y the distance covered by c and d before they cross each would be distance covered by d and c post crossing respectively . therefore distance covered by d before he meets c = 32 x time taken by d cover 32 x distance = 32 x / y mins therefore total time taken by d = 32 x / y + 50 mins . . . . . . . . . . . . . . . . . i we need to find value of x in terms of y to arrive at final answer . total distance = 32 x + 50 y combined speed of c and d = x + y therefore time taken before c and d meet en - route = ( 32 x + 50 y ) / ( x + y ) time taken by d reach destination after meeting c = 50 mins total travel time for d = [ ( 32 x + 50 y ) / ( x + y ) ] + 50 mins . . . . . . . . . . . . . . . . . . . ii equate i and ii 32 x / y + 50 = [ ( 32 x + 50 y ) / ( x + y ) ] + 50 ( 32 x + 50 y ) / y = ( 82 x + 100 y ) / ( x + y ) 32 x ^ 2 + 50 xy + 32 xy + 50 y ^ 2 = 82 xy + 100 y ^ 2 32 x ^ 2 + 82 xy - 82 xy + 50 y ^ 2 - 100 y ^ 2 = 0 32 x ^ 2 - 50 y ^ 2 = 0 32 x ^ 2 = 50 y ^ 2 16 x ^ 2 = 25 y ^ 2 taking square root . . ( since x and y denote speed , square root ca n ' t be negative ) 4 x = 5 y y = 4 x / 5 . . . . . . . . . . . . iii substitute in i = 32 x / ( 4 x / 5 ) + 50 = 32 x * 5 / 4 x + 50 = 40 + 50 = 90 mins a" + }, + { + "Answer": 14.589994594594595, + "Options": "a ) 13.42 , b ) 13.86 , c ) 14.25 , d ) 14.63 , e ) 14.88", + "Correct": "d", + "Explanation": "\"the laptop can load the video at a rate of 1 / 15 of the video per second . the phone can load the video at a rate of 1 / ( 60 * 10 ) = 1 / 600 of the video per second . the combined rate is 1 / 15 + 1 / 600 = 41 / 600 of the video per second . the time required to load the video is 600 / 41 = 14.63 seconds . the answer is d .\"" + }, + { + "Answer": 11, + "Options": "a ) 12 , b ) 10 , c ) 11 , d ) 09 , e ) 03", + "Correct": "c", + "Explanation": "\"suppose they meet x hrs after 8 a . m . then , ( distance moved by first in x hrs ) + [ distance moved by second in ( x - 1 ) hrs ] = 330 60 x + 75 ( x - 1 ) = 330 = > x = 3 so , they meet at ( 8 + 3 ) i . e . , 11 a . m . answer : c\"" + }, + { + "Answer": 7, + "Options": "a ) 5 , b ) 6 , c ) 7 , d ) 8 , e ) 10", + "Correct": "c", + "Explanation": "work done by 10 men in 1 day = 1 / 7 work done by 1 man in 1 day = ( 1 / 7 ) / 10 = 1 / 70 work done by 10 women in 1 day = 1 / 14 work done by 1 woman in 1 day = 1 / 140 work done by 5 men and 10 women in 1 day = 5 \u00d7 ( 1 / 70 ) + 10 \u00d7 ( 1 / 140 ) = 5 / 70 + 10 / 140 = 1 / 7 = 5 men and 10 women can complete the work in 7 days answer : option c" + }, + { + "Answer": 11.999999999999998, + "Options": "['a ) 10 cm', 'b ) 12 cm', 'c ) 16 cm', 'd ) 18 cm', 'e ) none']", + "Correct": "b", + "Explanation": "sol . volume of the new cube = ( 63 + 83 + 103 ) cm 3 = 1728 cm 3 . let the edge of the new cube be a cm . \u2234 a 3 = 1728 \u21d2 a = 12 . answer b" + }, + { + "Answer": 14, + "Options": "a ) 10 , b ) 14 , c ) 40 , d ) 50 , e ) 60", + "Correct": "b", + "Explanation": "explanation : let the fourth term be x . thus 56 , 16 , 49 , x are in proportion . product of extreme terms = 56 x product of mean terms = 16 x 49 since , the numbers make up a proportion therefore , 56 x = 16 49 or , x = ( 16 49 ) / 56 or , x = 14 therefore , the fourth term of the proportion is 14 . answer : b" + }, + { + "Answer": 7.199999999999999, + "Options": "a ) 6 hr , b ) 5.6 hr , c ) 9.5 hr , d ) 7.2 hr , e ) 4 hr", + "Correct": "d", + "Explanation": "\"net part filled in 1 hour 1 / 4 - 1 / 9 = 5 / 36 the cistern will be filled in 36 / 5 hr = 7.2 hr answer is d\"" + }, + { + "Answer": 552, + "Options": "a ) 456 kms , b ) 482 kms , c ) 552 kms , d ) 556 kms , e ) none of these", + "Correct": "c", + "Explanation": "\"total distance travelled in 12 hours = ( 35 + 37 + 39 + . . . upto 12 terms ) . this is an a . p . with first term , a = 35 , number of terms , n = 12 , common difference d = 2 required distance = 12 / 2 ( 2 * 35 + ( 12 - 1 ) * 2 ) = 6 ( 70 + 22 ) = 552 km . correct option : c\"" + }, + { + "Answer": 6, + "Options": "a ) 5 km , b ) 6 km , c ) 10 km , d ) 12 km , e ) 8 km", + "Correct": "b", + "Explanation": "average speed = 2 * 3 * 2 / 3 + 2 = 12 / 5 km / hr distance traveled = 12 / 5 * 5 = 12 km distance between house and school = 12 / 2 = 6 km answer is b" + }, + { + "Answer": 8, + "Options": "a ) 6 min , b ) 8 min , c ) 10 min , d ) 12 min , e ) none of these", + "Correct": "b", + "Explanation": "in one min , ( a + b ) fill the cistern = 1 \u2044 10 + 1 \u2044 15 = 1 \u2044 6 th in 3 min , ( a + b ) fill the cistern = 3 \u2044 6 = 1 \u2044 2 th remaining part = 1 - 1 \u2044 2 = 1 \u2044 2 \u2235 1 \u2044 10 th part filled by a in one min . \u2234 1 \u2044 2 nd part filled by a in 10 \u00d7 1 \u2044 2 = 5 min . \u2234 total time = 3 + 5 = 8 min . answer b" + }, + { + "Answer": 47.99999999999999, + "Options": "a ) 30 days , b ) 48 days , c ) 40 days , d ) 36 days , e ) 50 days", + "Correct": "b", + "Explanation": "( a + b ) work in 1 day = 1 / 16 , a work in 1 day = 1 / 24 b work in 1 day = [ 1 / 16 - 1 / 24 ] = 1 / 48 . b alone can finish same work in 48 days . answer b" + }, + { + "Answer": 29.999999999999996, + "Options": "a ) 25 , b ) 30 , c ) 40 , d ) 45 , e ) 50", + "Correct": "b", + "Explanation": "time = distance ( here length of the train ) / relative speed ( 63 - 3 ) thus time = 500 / 60 * 5 / 18 = 500 * 18 / 60 * 5 = 30 seconds answer : b" + }, + { + "Answer": 4, + "Options": "a ) 4 , b ) 9 , c ) 2 , d ) 11 , e ) none", + "Correct": "a", + "Explanation": "\"1 / 7 + 1 / 14 + 1 / 28 = 7 / 28 = 1 / 4 all three can finish the work in 4 days answer : a\"" + }, + { + "Answer": 27, + "Options": "a ) 24 , b ) 25 , c ) 26 , d ) 27 , e ) 28", + "Correct": "d", + "Explanation": "6 minutes is 360 seconds . lamp a and lamp b will flash together every 24 seconds . 360 / 24 = 15 . in the time period , lamp a and lamp b will flash together 15 times . lamp a and lamp c will flash together every 30 seconds . 360 / 30 = 12 . in the time period , lamp a and lamp c will flash together 12 times . lamp b and lamp c will flash together every 40 seconds . 360 / 40 = 9 . in the time period , lamp b and lamp c will flash together 9 times . all three lights will flash together every 2 * 2 * 2 * 3 * 5 = 120 seconds . 360 / 120 = 3 . we have counted these triple flashes three times , so we need to subtract three times the number of times that all three lights flash together . the number of times that exactly two lights flash together is 15 + 12 + 9 - 9 = 27 times . the answer is d ." + }, + { + "Answer": 270.0416, + "Options": "a ) 220 m , b ) 250 m , c ) 280 m , d ) 210 m , e ) 270 m", + "Correct": "e", + "Explanation": "e 270 m" + }, + { + "Answer": 21, + "Options": "a ) $ 22 , b ) $ 3 , c ) $ 15 , d ) $ 21 , e ) $ 30", + "Correct": "d", + "Explanation": "3 hrs 25 min = 205 min first 15 min - - - - - - > $ 2 time left is 190 min . . . now , 60 min costs $ 6 1 min costs $ 6 / 60 190 min costs $ 6 / 60 * 190 = > $ 19 so , total cost will be $ 19 + $ 2 = > $ 21 the answer will be ( d ) $ 21" + }, + { + "Answer": 17.999999999999996, + "Options": "a ) 30 days , b ) 60 days , c ) 18 days , d ) 80 days , e ) 90 days", + "Correct": "c", + "Explanation": "amount of work done by john and andrew in 1 day = 1 / 9 amount of work done by john and andrew in 6 days = 6 \u00e3 \u2014 ( 1 / 9 ) = 2 / 3 remaining work \u00e2 \u20ac \u201c 1 \u00e2 \u20ac \u201c 2 / 3 = 1 / 3 john completes 1 / 3 work in 6 days amount of work john can do in 1 day = ( 1 / 3 ) / 6 = 1 / 18 = > john can complete the work in 18 days answer : c" + }, + { + "Answer": 100, + "Options": "a ) 1 day , b ) 4 days , c ) 40 days , d ) 100 days , e ) 50 days", + "Correct": "d", + "Explanation": "as 100 cats kill 100 mice in 100 days 1 cats kill 1 mouse in 100 days then 4 cats kill 4 mice in 100 days answer : d" + }, + { + "Answer": 9, + "Options": "a ) 90 seconds , b ) 70 seconds , c ) 60 seconds , d ) 9 minutes , e ) 120 seconds", + "Correct": "d", + "Explanation": "\"2 / 3 filled in 6 mint 1 / 3 filled in 3 mint thn 2 / 3 + 1 / 3 = 6 + 3 = 9 minutes answer : d\"" + }, + { + "Answer": 20, + "Options": "a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36", + "Correct": "a", + "Explanation": "alice and bob complete 200 km / 4 hours = 50 km / hour bob ' s speed is 50 - 30 = 20 km / hour the answer is a ." + }, + { + "Answer": 2.49980001599872, + "Options": "a ) 2.5 sec , b ) 4.25 sec , c ) 5 sec , d ) 12.5 sec , e ) none", + "Correct": "a", + "Explanation": "\"sol . speed = [ 144 x 5 / 18 ] m / sec = 40 m / sec . time taken = ( 100 / 40 ) sec = 2.5 sec . answer a\"" + }, + { + "Answer": 12.5, + "Options": "a ) 10 m , b ) 12.5 m , c ) 17.5 m , d ) 21.25 m , e ) none", + "Correct": "b", + "Explanation": "\"let height of the building be x meters 40.25 : 28.75 : : 17.5 < = > 40.25 x x = 28.75 x 17.5 x = 28.75 x 17.5 / 40.25 x = 12.5 answer : option b\"" + }, + { + "Answer": 5940, + "Options": "a ) 5942 , b ) 2887 , c ) 5940 , d ) 2888 , e ) 28881", + "Correct": "c", + "Explanation": "answer : c ) 5940" + }, + { + "Answer": 1.5, + "Options": "a ) 1.5 days , b ) 4.5 days , c ) 7 days , d ) 9.8 days , e ) 9 days", + "Correct": "a", + "Explanation": "explanation : hint : a ' s one day work = 1 / 3 b ' s one day work = 1 / 5 c ' s one day work = 1 / 10 ( a + b + c ) ' s one day work = 1 / 3 + 1 / 5 + 1 / 10 = 1 / 1.5 hence , a , b & c together will take 1.5 days to complete the work . answer is a" + }, + { + "Answer": 119.99999999999999, + "Options": "a ) 30 , b ) 60 , c ) 90 , d ) 120 , e ) 140", + "Correct": "d", + "Explanation": "\"explanation : number of blocks = ( 160 x 100 x 60 / 20 x 20 x 20 ) = 120 answer : d\"" + }, + { + "Answer": 3, + "Options": "a ) 3 , b ) 5 , c ) 6 , d ) 9 , e ) 12", + "Correct": "a", + "Explanation": "explanation : if six computers require 9 days to process the data , thats a total of 54 computer - days the product of 6 and 9 . if you change the number of computers or the number of days , 54 will have to remain the product , whether that means 54 days of one computer or one day with 54 computers . in 6 days , the number of computers is : 6 c = 54 c = 9 9 computers is 3 more than the 6 that it took to do the job in 9 days , so the correct choice is ( a ) ." + }, + { + "Answer": 680, + "Options": "a ) 680 , b ) 378 , c ) 267 , d ) 299 , e ) 271", + "Correct": "a", + "Explanation": "\"explanation : area of theplot = 110 * 65 = 7150 sq m area of the plot excluding the path = ( 110 - 5 ) * ( 65 - 5 ) = 6300 sq m area of the path = 7150 - 6300 = 850 sq m cost of gravelling the path = 850 * 80 / 100 = 680 rs answer : a ) 680 rs\"" + }, + { + "Answer": 15, + "Options": "a ) 12 , b ) 15 , c ) 18 , d ) 21 , e ) 22", + "Correct": "b", + "Explanation": "explanation : pumps work time 12 1218 99 x 2030 132 = > 1218 / ( 912 * 99 ) = 2020 / ( x \u00d7 132 ) = > x = 15 pumps answer : option b" + } + ] +} \ No newline at end of file