Lots-of-LoRAs/task1422_mathqa_physics huggingface dataset:
Input: Problem: 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 ) ? 
Options: a ) 20 , b ) 24 , c ) 28 , d ) 32 , e ) 36
Output: a
Input: Problem: 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 . 
Options: a ) 600 , b ) 500 , c ) 575 , d ) 655 , e ) 675
Output: e
Input: Problem: a work as fast as b . if b can complete a work in 8 days independently , the number of days in which a and b can together finish the work in ? 
Options: a ) 2 days , b ) 2 2 / 3 days , c ) 4 days , d ) 5 days , e ) 6 days
Output: b
Input: Problem: a train running at the speed of 36 km / hr crosses a pole in 9 seconds . what is the length of the train ? 
Options: a ) 120 metres , b ) 180 metres , c ) 324 metres , d ) 90 metres , e ) 100 meters
Output: d
Input: Problem: r is the set of positive odd integers less than 100 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ? 
Options: a ) none , b ) two , c ) four , d ) five , e ) seven
Output: d
Input: Problem: the lcm and hcf of two numbers are 100 and 10 respectively . find the larger of the two numbers if their sum is 110 . 
Options: a ) 100 , b ) 12 , c ) 35 , d ) 466 , e ) 56
Output: a
Input: Problem: 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 ? 
Options: a ) 5729 , b ) 5760 , c ) 2889 , d ) 6480 , e ) 2799
Output: d
Input: Problem: a person travels equal distances with speeds of 3 km / hr , 4 km / hr and 5 km / hr and takes a total time of 47 minutes . the total distance is ? 
Options: a ) 1 km , b ) 2 km , c ) 3 km , d ) 4 km , e ) 5 km
Output: c
Input: Problem: a man can row upstream at 26 kmph and downstream at 30 kmph , and then find the speed of the man in still water ? 
Options: a ) 29 , b ) 28 , c ) 30 , d ) 32 , e ) 23
Output: b
Input: Problem: 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 ? 
Options: a ) 272 , b ) 167 , c ) 157 , d ) 352 , e ) 380
Output: a
Input: Problem: a man , a woman and a boy can complete a job in 3,4 and 12 days respectively . how many boys must assist 1 man and 1 woman to complete the job in ¼ of a day ? 
Options: a ) 1 day , b ) 4 days , c ) 19 days , d ) 41 days , e ) 52 days
Output: d
Input: Problem: a train running at the speed of 60 km / hr crosses a pole in 3 sec . what is the length of the train ? 
Options: a ) 50 , b ) 75 , c ) 100 , d ) 120 , e ) 25
Output: a
Input: Problem: 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 
Options: a ) 2488 , b ) 378 , c ) 739 , d ) 474 , e ) 291
Output: d
Input: Problem: 30 binders can bind 1400 books in 21 days . how many binders will be required to bind 1600 books in 20 days ? 
Options: a ) 87 , b ) 18 , c ) 17 , d ) 36 , e ) 10
Output: d
Input: Problem: the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 7420 , what is the length of the plot in metres ? 
Options: a ) 20 , b ) 200 , c ) 300 , d ) 400 , e ) 80
Output: e
Input: Problem: 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 ? 
Options: a ) 75 m . , b ) 128 m . , c ) 150 m . , d ) 100 m . , e ) none of the above
Output: b
Input: Problem: 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 ? 
Options: a ) 3 , b ) 3.5 , c ) 4 , d ) 4.5 , e ) 5
Output: c
Input: Problem: excluding stoppages , the speed of a train is 35 kmph and including stoppages it is 22 kmph . of how many minutes does the train stop per hour ? 
Options: a ) 82 , b ) 17 , c ) 22 , d ) 82 , e ) 18
Output: c
Input: Problem: how many cubes of 10 cm edge can be put in a cubical box of 1 m edge . 
Options: a ) 10000 cubes , b ) 1000 cubes , c ) 100 cubes , d ) 50 cubes , e ) none of these
Output: b
Input: Problem: 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 
Options: a ) 1.2 km , b ) 1.8 km , c ) 2.4 km , d ) 3.6 km , e ) 1.6 km
Output: d
Input: Problem: 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 
Options: a ) 300 mph , b ) 150.2 mph , c ) 142.8 mph , d ) 200 mph , e ) 111.01 mph
Output: c
Input: Problem: 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 ? 
Options: ['a ) 4 cm', 'b ) 6 cm', 'c ) 8 cm', 'd ) 10 cm', 'e ) 12 cm']
Output: c
Input: Problem: 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 ? 
Options: a ) 4.5 , b ) 17 , c ) 18 , d ) 19 , e ) 12
Output: a
Input: Problem: 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 ? 
Options: a ) rs . 89.55 , b ) rs . 59.70 , c ) rs . 85.56 , d ) rs . 88.56 , e ) none of these
Output: a
Input: Problem: 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 ? 
Options: a ) 1 / 3 , b ) 1 / 4 , c ) 1 / 15 , d ) 3 / 8 , e ) 1 / 36
Output: e
Input: Problem: 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 ? 
Options: a ) 6 m , b ) 5 m , c ) 4 m , d ) 3 m , e ) none of the above
Output: b
Input: Problem: 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 . 
Options: a ) 12 sec , b ) 24 sec , c ) 48 sec , d ) 60 sec , e ) none
Output: c
Input: Problem: 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 ? 
Options: a ) 11 : 5 , b ) 11 : 8 , c ) 2 : 1 , d ) 15 : 7 , e ) 16 : 9
Output: c
Input: Problem: 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 ? 
Options: a ) 500 , b ) 1000 , c ) 350 , d ) 250 , e ) 20
Output: d
Input: Problem: 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 ? 
Options: a ) 230 m , b ) 270 m , c ) 643 m , d ) 280 m , e ) 270 m
Output: d
Input: Problem: a train 660 m long is running at a speed of 78 km / hr . if it crosses a tunnel in 1 min , then the length of the tunnel is ? 
Options: a ) 640 , b ) 277 , c ) 500 , d ) 297 , e ) 435
Output: a
Input: Problem: 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 ? 
Options: a ) 90 , b ) 45 , c ) 50 , d ) 55 , e ) 60
Output: a
Input: Problem: 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 ? 
Options: a ) 30 kmh , b ) 40 kmh , c ) 45 kmh , d ) 50 kmh , e ) 55 kmh
Output: d
Input: Problem: 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 ? 
Options: a ) 60 , b ) 61.2 , c ) 62.5 , d ) 3,600 , e ) 3,672
Output: e
Input: Problem: 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 ? 
Options: a ) 4.85 , b ) 7.69 , c ) 6.85 , d ) 5.85 , e ) 6.15
Output: b
Input: Problem: 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 ? 
Options: a ) 400 meters , b ) 120 meters , c ) 1777 meters , d ) 60 meters , e ) none of these
Output: b
Input: Problem: what is the greatest of 3 consecutive integers whose sum is 27 ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 9 , e ) 11
Output: e
Input: Problem: 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 ? 
Options: a ) 90 min , b ) 100 min , c ) 110 min , d ) 120 min , e ) 130 min
Output: b
Input: Problem: a can do a work in 6 days . b can do the same work in 8 days . both a & b together will finish the work and they got $ 1000 from that work . find their shares ? 
Options: a ) 600,800 , b ) 500,500 , c ) 300,700 , d ) 800,200 , e ) 550,450
Output: a
Input: Problem: a train 400 m in length crosses a telegraph post in 16 seconds . the speed of the train is ? 
Options: a ) 22 kmph , b ) 77 kmph , c ) 54 kmph , d ) 71 kmph , e ) 90 kmph
Output: e
Input: Problem: an aeroplane covers a certain distance at a speed of 240 kmph in 6 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of : 
Options: a ) 520 , b ) 620 , c ) 820 , d ) 740 , e ) 864
Output: e
Input: Problem: if 13 lions can kill 13 deers in 13 minutes how long will it take 100 lions to kill 100 deers ? 
Options: a ) 1 minutes , b ) 13 minute , c ) 100 minutes , d ) 10000 minutes , e ) 1000 minutes
Output: b
Input: Problem: 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 60 miles long , how fast was he actually driving ? ( assume that liam drove at a constant speed for the duration of his commute . ) 
Options: a ) 50 mph , b ) 45 mph , c ) 48 mph , d ) 52 mph , e ) 70 mph
Output: e
Input: Problem: due to construction , the speed limit along an 9 - 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 ? 
Options: a ) 5 , b ) 7 , c ) 10 , d ) 15 , e ) 24
Output: b
Input: Problem: 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 ? 
Options: a ) 18 days , b ) 24 days , c ) 30 days , d ) 36 days , e ) 35 days
Output: a
Input: Problem: a is thrice as good as workman as b and therefore is able to finish a job in 60 days less than b . working together , they can do it in : 
Options: a ) 20 days , b ) 22 1 / 2 days , c ) 24 days , d ) 25 days , e ) 30 days
Output: b
Input: Problem: the length of the bridge , which a train 130 meters long and travelling at 45 km / hr can cross in 30 seconds , is ? 
Options: a ) 288 , b ) 266 , c ) 245 , d ) 277 , e ) 211
Output: c
Input: Problem: 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 ? 
Options: a ) 105 , b ) 140 , c ) 175 , d ) 210 , e ) 245
Output: d
Input: Problem: the length of a side of a hexagon is 4 inches . what is the perimeter ? 
Options: ['a ) 22', 'b ) 23', 'c ) 24', 'd ) 25', 'e ) 26']
Output: c
Input: Problem: one pipe can fill a tank three times as fast as another pipe . if together the two pipes can fill tank in 39 min , then the slower pipe alone will be able to fill the tank in ? 
Options: a ) 229 , b ) 156 , c ) 144 , d ) 128 , e ) 121
Output: b
Input: Problem: 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 700 m ? 
Options: a ) 148.75 m , b ) 127.5 m . , c ) 122.2 m , d ) 222.9 m , e ) 12289 m
Output: a
Input: Problem: how long does a train 90 m long traveling at 60 kmph takes to cross a bridge of 170 m in length ? 
Options: a ) sec , b ) sec , c ) sec , d ) sec , e ) sec
Output: d
Input: Problem: 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 ? 
Options: a ) 13 / 2 , b ) 17 / 3 , c ) 15 / 2 , d ) 20 / 3 , e ) 9
Output: d
Input: Problem: in what time will a train 200 m long cross an electric pole , it its speed be 144 km / hr ? 
Options: a ) 2.5 sec , b ) 1.9 sec , c ) 8.9 sec , d ) 6.9 sec , e ) 5 sec
Output: e
Input: Problem: a man rows his boat 80 km downstream and 38 km upstream , taking 3 hours each time . find the speed of the stream ? 
Options: a ) 6 , b ) 9 , c ) 7 , d ) 8 , e ) 2
Output: b
Input: Problem: 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 four metre is left from all sides of the boundary of the garden . what is the length of the garden ? 
Options: a ) 22 , b ) 24 , c ) 26 , d ) 28 , e ) 30
Output: e
Input: Problem: 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 . 
Options: a ) 82 , b ) 56 , c ) 80 , d ) 56 , e ) 100
Output: b
Input: Problem: 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 ? 
Options: a ) 6 , b ) 8 , c ) 12 , d ) 4 , e ) 13
Output: a
Input: Problem: how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 175 m length ? 
Options: a ) 12.9 sec , b ) 12.1 sec , c ) 17.9 sec , d ) 16.8 sec , e ) 14.25 sec
Output: e
Input: Problem: a not - so - good clockmaker has four clocks on display in the window . clock # 1 loses 45 minutes every hour . clock # 2 gains 15 minutes every hour relative to clock # 1 ( i . e . , as clock # 1 moves from 12 : 00 to 1 : 00 , clock # 2 moves from 12 : 00 to 1 : 15 ) . clock # 3 loses 20 minutes every hour relative to clock # 2 . finally , clock # 4 gains 20 minutes every hour relative to clock # 3 . if the clockmaker resets all four clocks to the correct time at 12 noon , what time will clock # 4 display after 6 actual hours ( when it is actually 6 : 00 pm that same day ) ? 
Options: a ) 5 : 00 , b ) 5 : 34 , c ) 5 : 42 , d ) 6 : 34 , e ) 6 : 24
Output: d
Input: Problem: the radius of a semi circle is 3.1 cm then its perimeter is ? 
Options: a ) 15.94 , b ) 12.41 , c ) 16.1 , d ) 32.92 , e ) 32.3
Output: a
Input: Problem: 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 ? 
Options: a ) 18 , b ) 157 , c ) 175 , d ) 216 , e ) 250
Output: b
Input: Problem: 1200 men have provisions for 18 days . if 450 more men join them , for how many days will the provisions last now ? 
Options: a ) 12.9 , b ) 12.0 , c ) 12.5 , d ) 12.2 , e ) 13.1
Output: e
Input: Problem: 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 ? 
Options: a ) 77 , b ) 18 , c ) 14 , d ) 12 , e ) 17
Output: b
Input: Problem: if 13 men do a work in 80 days , in how many days will 20 men do it ? 
Options: a ) 18 days , b ) 38 days , c ) 42 days , d ) 48 days , e ) 52 days
Output: e
Input: Problem: 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 ? 
Options: a ) 150 sec , b ) 750 sec , c ) 450 sec , d ) 825 sec , e ) none of these
Output: b
Input: Problem: a train 210 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 140 m long ? 
Options: a ) 40 sec , b ) 50 sec , c ) 44 sec , d ) 49 sec , e ) 28 sec
Output: e
Input: Problem: a and b can do a piece of work in 10 days . with the help of c they finish the work in 5 days . c alone can do that piece of work in ? 
Options: a ) 33 , b ) 878 , c ) 30 , d ) 10 , e ) 11
Output: d
Input: Problem: a boy is travelling from his home to school at 3 km / hr and reached 7 min late . next day he traveled at 12 km / hr and reached 8 min early . distance between home and school ? 
Options: a ) 1 km , b ) 3 km , c ) 4 km , d ) 5 km , e ) 6 km
Output: a
Input: Problem: 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 ? 
Options: a ) 18 , b ) 20 , c ) 21 , d ) 24 , e ) 25
Output: c
Input: Problem: 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 ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 6 , d ) 2 / 5 , e ) 2 / 9
Output: c
Input: Problem: 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 ? 
Options: a ) 1098 , b ) 1000 , c ) 1628 , d ) 1098 , e ) 1094
Output: b
Input: Problem: a work as fast as b . if b can complete a work in 20 days independently , the number of days in which a and b can together finish the work in ? 
Options: a ) 2 days , b ) 3 days , c ) 4 days , d ) 5 days , e ) 6 2 / 3 days
Output: e
Input: Problem: a boat can travel with a speed of 13 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 . 
Options: a ) 4.25 hr , b ) 3.8 hr , c ) 8.25 hr , d ) 2.25 hr , e ) 2.50 hr
Output: b
Input: Problem: how many seconds will a 500 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 
Options: a ) 25 seconds , b ) 28 seconds , c ) 30 seconds , d ) 35 seconds , e ) 40 seconds
Output: c
Input: Problem: 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 . 
Options: a ) 800 km , b ) 900 km , c ) 1000 km , d ) 1100 km , e ) 1200 km
Output: d
Input: Problem: steve traveled the first 2 hours of his journey at 40 mph and the last 3 hours of his journey at 60 mph . what is his average speed of travel for the entire journey ? 
Options: a ) 52 mph , b ) 56.67 mph , c ) 53.33 mph , d ) 64 mph , e ) 66.67 mph
Output: a
Input: Problem: a man can row at 6 kmph in still water . if the velocity of current is 2 kmph and it takes him 2 hour to row to a place and come back , how far is the place ? 
Options: a ) 5.33 km , b ) 6.33 km , c ) 5.63 km , d ) 7.33 km , e ) 5.93 km
Output: a
Input: Problem: the length of the longest tape in cm which can be used to measure exactly , the length 10 m ; 3 m 85 cm ; and 11 m 50 cm is : 
Options: a ) 5 , b ) 35 , c ) 34 , d ) 36 , e ) 38
Output: a
Input: Problem: 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 ? 
Options: a ) 1 / 3 , b ) 1 / 30 , c ) 1 / 10 , d ) 1 / 45 , e ) 1 / 60
Output: e
Input: Problem: 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 ? 
Options: a ) 80 , b ) 100 , c ) 160 , d ) 240 , e ) 300
Output: c
Input: Problem: 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 ? 
Options: a ) 190 metres , b ) 160 metres , c ) 280 metres , d ) 120 metres , e ) 250 metres
Output: c
Input: Problem: 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 ? 
Options: a ) 45 / 12 , b ) 23 / 12 , c ) 40 / 33 , d ) 34 / 12 , e ) 43 / 5
Output: a
Input: Problem: convert the 8 / 36 m / s into kilometers per hour ? 
Options: a ) 0.8 kmph , b ) 9.9 kmph , c ) 1.3 kmph , d ) 1.2 kmph , e ) 5.7 kmph
Output: a
Input: Problem: what is the maximum number of pieces of birthday cake of size 10 ” by 10 ” that can be cut from a cake 20 ” by 20 ” ? 
Options: a ) 4 , b ) 10 , c ) 16 , d ) 20 , e ) 25
Output: a
Input: Problem: a and b can do a piece of work in 9 days . with the help of c they finish the work in 6 days . c alone can do that piece of work in ? 
Options: a ) 33 , b ) 878 , c ) 18 , d ) 88 , e ) 11
Output: c
Input: Problem: 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 ? 
Options: a ) 287 , b ) 1287 , c ) 140 , d ) 988 , e ) 271
Output: c
Input: Problem: 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 ? 
Options: a ) 8 , b ) 7 , c ) 6 , d ) 5 , e ) 9
Output: d
Input: Problem: 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 . 
Options: a ) 1 / 2 , b ) 1 / 10 , c ) 1 / 18 , d ) 1 / 16 , e ) 1 / 11
Output: a