Lots-of-LoRAs/task1422_mathqa_physics huggingface dataset:
Input: Problem: 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 ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 6 , e ) 12
Output: b
Input: Problem: 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 ? 
Options: a ) 16 days , b ) 12 days , c ) 9 days , d ) 6 days , e ) 18 days
Output: c
Input: Problem: a train which has 400 m long , is running 50 kmph . in what time will it cross a person moving at 14 kmph in same direction ? 
Options: a ) 40 sec , b ) 35 sec , c ) 33 sec , d ) 42 sec , e ) 41 sec
Output: a
Input: Problem: 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 ? 
Options: a ) 22 , b ) 60 , c ) 88 , d ) 26 , e ) 18
Output: b
Input: Problem: 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 24 seconds , what is the ratio of their speeds ? 
Options: a ) 1 : 3 , b ) 3 : 1 , c ) 7 : 3 , d ) 3 : 2 , e ) 3 : 4
Output: c
Input: Problem: what is the distance covered by a train if it travels with a speed of 150 kmh for 8 hours ? 
Options: a ) 1000 km , b ) 700 km , c ) 800 km , d ) 1400 km , e ) 1200 km
Output: e
Input: Problem: a train 360 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 340 m long ? 
Options: a ) 56 sec , b ) 42 sec , c ) 45 sec , d ) 48 sec , e ) 50 sec
Output: a
Input: Problem: the length of a side of a hexagon is 7 inches . what is the perimeter ? 
Options: a ) 48 , b ) 42 , c ) 44 , d ) 45 , e ) 40
Output: b
Input: Problem: 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 ? 
Options: a ) 62 m , b ) 54 m , c ) 50 m , d ) 55 m , e ) 56 m
Output: c
Input: Problem: 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 ? 
Options: a ) 45 , b ) 175 , c ) 210 , d ) 245 , e ) 280
Output: a
Input: Problem: the length of the bridge , which a train 150 metres long and travelling at 54 km / hr can cross in 30 seconds , is ? 
Options: a ) 340 m . , b ) 350 m . , c ) 320 m . , d ) 330 m . , e ) 360 m .
Output: c
Input: Problem: a train 125 m long passes a man , running at 4 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ? 
Options: a ) 11 , b ) 49 , c ) 88 , d ) 65 , e ) 22
Output: b
Input: Problem: 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 
Options: a ) 20 , b ) 22 , c ) 25 , d ) 28 , e ) 30
Output: d
Input: Problem: the radius of a semi circle is 7 cm then its perimeter is ? 
Options: a ) 32.8 , b ) 36 , c ) 32.1 , d ) 32.2 , e ) 32.9
Output: b
Input: Problem: 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 ? 
Options: a ) 25 min , b ) 32 min , c ) 33 min , d ) 34 min , e ) 35 min
Output: e
Input: Problem: 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 ? ? 
Options: a ) 19.6 , b ) 20.6 , c ) 21.6 , d ) 22.6 , e ) 23.6
Output: b
Input: Problem: on a map , 1 inch represents 28 miles . how many z inches would be necessary to represent a distance of 383.6 miles ? 
Options: a ) 5.2 , b ) 7.4 , c ) 13.7 , d ) 21.2 , e ) 28.7
Output: c
Input: Problem: a , b , c can complete a piece of work in 24,6 and 12 days respectively . working together , they will complete the same work in how many days ? 
Options: a ) 13 / 8 , b ) 26 / 11 , c ) 24 / 7 , d ) 12 / 13 , e ) 1 / 2
Output: c
Input: Problem: 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 ? 
Options: a ) 80 , b ) 82 , c ) 84 , d ) 86 , e ) 88
Output: c
Input: Problem: 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 . 
Options: a ) 8 hours , b ) 48 hours , c ) 31 hours , d ) 18 hours , e ) 28 hours
Output: c
Input: Problem: 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 ? 
Options: a ) 4 / 15 , b ) 7 / 30 , c ) 11 / 30 , d ) 5 / 18 , e ) 7 / 18
Output: c
Input: Problem: 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 ? 
Options: a ) 22.8 kg , b ) 34.2 kg , c ) 28 kg , d ) 26.5 kg , e ) none of these
Output: b
Input: Problem: 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 ? 
Options: a ) 1 / 3 , b ) 1 / 4 , c ) 1 / 15 , d ) 3 / 8 , e ) 2 / 3
Output: c
Input: Problem: 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 16 hours and 9 hours respectively . the ratio of their speeds is ? 
Options: a ) 4 : 5 , b ) 4 : 3 , c ) 4 : 4 , d ) 4 : 9 , e ) 3 : 4
Output: e
Input: Problem: nd the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 14 cm ? 
Options: a ) 235 cm 2 , b ) 260 cm 2 , c ) 266 cm 2 , d ) 270 cm 2 , e ) 280 cm 2
Output: c
Input: Problem: trapezoid jklm in the x - y plane has coordinates j = ( – 2 , – 1 ) , k = ( – 2 , 1 ) , l = ( 6 , 7 ) , and m = ( 6 , – 1 ) . what is its perimeter ? 
Options: a ) 34 , b ) 36 , c ) 31 , d ) 40 , e ) ( f ) 42
Output: c
Input: Problem: 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 ? 
Options: a ) 100 , b ) 720 , c ) 1100 , d ) 940 , e ) 860
Output: b
Input: Problem: the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 400 resolutions . 
Options: a ) 561.68 m , b ) 562.68 m , c ) 563.68 m , d ) 564.68 m , e ) 565.68 m
Output: b
Input: Problem: 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 ? 
Options: a ) 30 , b ) 40 , c ) 50 , d ) 60 , e ) 70
Output: d
Input: Problem: 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 ? 
Options: a ) 14 min , b ) 18 min , c ) 25 min , d ) 32 min , e ) 40 min
Output: e
Input: Problem: 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 
Options: a ) 12.5 m , b ) 10 m , c ) 17.5 m , d ) 21.25 m , e ) 9.8 m
Output: a
Input: Problem: 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 ? 
Options: a ) s . 50 , b ) s . 70 , c ) s . 90 , d ) s . 100 , e ) s . 120
Output: a
Input: Problem: in one hour , a boat goes 19 km / hr along the stream and 9 km / hr against the stream . the speed of the boat in still water ( in km / hr ) is : 
Options: a ) 12 kmph , b ) 13 kmph , c ) 14 kmph , d ) 15 kmph , e ) 16 kmph
Output: c
Input: Problem: two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 27 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 ? 
Options: a ) 457 km , b ) 444 km , c ) 547 km , d ) 645 km , e ) 576 km
Output: e
Input: Problem: 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 ? 
Options: a ) 14 , b ) 24 , c ) 16 , d ) 18 , e ) 20
Output: b
Input: Problem: a 160 meter long train crosses a man standing on the platform in 12 sec . what is the speed of the train ? 
Options: a ) 48 kmph , b ) 54 kmph , c ) 92 kmph , d ) 86 kmph , e ) 76 kmph
Output: a
Input: Problem: 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 ? 
Options: a ) 55 , b ) 30 , c ) 28 , d ) 24 , e ) 32
Output: a
Input: Problem: 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 ? 
Options: a ) 15 / 10 , b ) 17 / 10 , c ) 16 / 10 , d ) 18 / 10 , e ) 16 / 10
Output: b
Input: Problem: the sum of two consecutive number is 97 . which is the larger number ? 
Options: a ) 42 , b ) 49 , c ) 44 , d ) 45 , e ) 46
Output: b
Input: Problem: 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 ? 
Options: a ) 36 , b ) 42 , c ) 48 , d ) 54 , e ) 60
Output: c
Input: Problem: 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 ? 
Options: a ) 25 , b ) 23 , c ) 22 , d ) 24 , e ) 26
Output: e
Input: Problem: what is the cost of leveling the field in the form of parallelogram at the rate of rs . 40 / 10 sq . metre , whose base & perpendicular distance from the other side being 24 m & 34 m respectively ? 
Options: a ) s . 600 , b ) s . 630 , c ) s . 640 , d ) s . 648 , e ) s . 816
Output: e
Input: Problem: 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 ? 
Options: a ) 7 days , b ) 6 days , c ) 5 days , d ) 4 days , e ) none of these
Output: b
Input: Problem: 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 ? 
Options: a ) 1 , b ) 2 , c ) 3 , d ) 5 , e ) 4
Output: e
Input: Problem: one pipe can fill a tank three 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 ? 
Options: a ) 144 min , b ) 250 min , c ) 196 min , d ) 100 min , e ) 112 min
Output: a
Input: Problem: 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 ) 
Options: a ) 0.8 , b ) 0.5 , c ) 1.0 , d ) 1.1 , e ) 1.2
Output: b
Input: Problem: a train 200 m long crosses a platform 200 m long in 40 sec ; find the speed of the train ? 
Options: a ) 94 kmph , b ) 58 kmph , c ) 54 kmph , d ) 94 kmph , e ) 36 kmph
Output: e
Input: Problem: 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 ? 
Options: a ) 5 / 10 , b ) 9 / 10 , c ) 7 / 10 , d ) 6 / 10 , e ) 4 / 10
Output: c
Input: Problem: 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 ? 
Options: a ) 12 days , b ) 16 days , c ) 18 days , d ) 11 days , e ) 38 days
Output: a
Input: Problem: while working alone at their respective constant rates , server g uploads 480 files in 4 hours and server y uploads 480 files in 8 hours . if all files uploaded by these servers are the same size , how long would it take the two servers , working at the same time and at their respective constant rates , to process a total of 480 files ? 
Options: a ) 2 hr , b ) 2 hr 20 min , c ) 2 hr 40 min , d ) 5 hr 40 min , e ) 6 hr
Output: c
Input: Problem: 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 ) 
Options: a ) 8 / 3 , b ) 3 / 8 , c ) 8 / 5 , d ) 12 / 5 , e ) 5 / 3
Output: d
Input: Problem: 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 ? 
Options: a ) 10 days , b ) 11 days , c ) 13 days , d ) 15 days , e ) 24 days
Output: e
Input: Problem: 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 : 
Options: a ) 30 , b ) 60 , c ) 90 , d ) 120 , e ) 140
Output: d
Input: Problem: 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 ? 
Options: a ) 456 kms , b ) 482 kms , c ) 552 kms , d ) 556 kms , e ) none of these
Output: c
Input: Problem: 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 1 strokes ? 
Options: a ) 1 / 2 , b ) 7 / 8 , c ) 1 / 4 , d ) 1 / 8 , e ) 1 / 16
Output: a
Input: Problem: 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 ? 
Options: a ) 240 meters , b ) 360 meters , c ) 420 meters , d ) 300 meters , e ) can not be determined
Output: d
Input: Problem: a car gets 20 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 180 kilometers ? 
Options: a ) 8.5 gallons , b ) 9 gallons , c ) 6.5 gallons , d ) 5.5 gallons , e ) 6 gallons
Output: b
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 68 km downstream ? 
Options: a ) 2 hours , b ) 3 hours , c ) 3 hours 48 minutes , d ) 5 hours , e ) none
Output: c
Input: Problem: 6 men and 8 women can complete a work in 10 days . 26 men and 48 women can finish the same work in 2 days . 15 men and 20 women can do the same work in - days . 
Options: a ) 4 days , b ) 6 days , c ) 2 days , d ) 8 days , e ) 10 days
Output: a
Input: Problem: a train crosses a platform of 120 m in 15 sec , same train crosses another platform of length 180 m in 18 sec . then find the length of the train ? 
Options: a ) 145 , b ) 180 , c ) 181 , d ) 184 , e ) 150
Output: b
Input: Problem: 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 
Options: a ) 106 seconds , b ) 130 seconds , c ) 177 seconds , d ) 200 seconds , e ) 270 seconds
Output: a
Input: Problem: a train 300 m long can cross an electric pole in 15 sec and then find the speed of the train ? 
Options: a ) 65 kmph , b ) 70 kmph , c ) 72 kmph , d ) 75 kmph , e ) 78 kmph
Output: c
Input: Problem: if three painters can complete three rooms in three hours , how many painters would it take to do 27 rooms in 9 hours ? 
Options: a ) 10 , b ) 8 , c ) 7 , d ) 9 , e ) 11
Output: d
Input: Problem: a train 310 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 , b ) 56 , c ) 41 , d ) 36 , e ) 34
Output: d
Input: Problem: the lcm of two numbers is 2310 and hcf is 30 . if one of the numbers is 210 . then what is the other number ? 
Options: a ) 715 , b ) 825 , c ) 330 , d ) 582 , e ) 465
Output: c
Input: Problem: 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 ? 
Options: a ) 120 , b ) 121 , c ) 122 , d ) 123 , e ) 124
Output: a
Input: Problem: 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 ? 
Options: a ) 28000 , b ) 27908 , c ) 78902 , d ) 25000 , e ) 27991
Output: a
Input: Problem: 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 ? 
Options: a ) 6400 , b ) 6410 , c ) 6440 , d ) 6500 , e ) 7040
Output: e
Input: Problem: find the area of a cuboid of length 10 cm , breadth 8 cm . and height 6 cm . 
Options: a ) 400 cm cube , b ) 410 cm cube , c ) 420 cm cube , d ) 430 cm cube , e ) 480 cm cube
Output: e
Input: Problem: the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along theboundary 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 ? 
Options: a ) 143530 m , b ) 145600 m , c ) 153600 m , d ) 134500 m , e ) 155600 m
Output: c
Input: Problem: if 12 men and 16 boys can do a piece of work in 7 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 . 
Options: a ) 1 : 4 , b ) 1 : 2 , c ) 1 : 3 , d ) 2 : 1 , e ) 4 : 1
Output: b
Input: Problem: a work can be finished in 16 days by 5 women . the same work can be finished in 8 days by sixteen men . the ratio between the capacity of a man and a woman is 
Options: a ) 1 : 3 , b ) 4 : 3 , c ) 2 : 3 , d ) 2 : 1 , e ) 5 : 8
Output: e
Input: Problem: a student traveled 30 percent of the distance of the trip alone , continued another 40 miles with a friend , and then finished the last half of the trip alone . how many miles long was the trip ? 
Options: a ) 120 , b ) 140 , c ) 160 , d ) 180 , e ) 200
Output: e
Input: Problem: what is the maximum number of pieces of birthday cake of size 3 ” by 3 ” that can be cut from a cake 21 ” by 21 ” ? 
Options: a ) 5 , b ) 7 , c ) 49 , d ) 20 , e ) 25
Output: c
Input: Problem: 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 ? 
Options: a ) 22 days , b ) 8 days , c ) 67 days , d ) 1 days , e ) 18 days
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 m and a distance of one meter is left from all sides of the boundary of the length of the garden is : 
Options: a ) 450 sq mtrs , b ) 460 sq mtrs , c ) 480 sq mtrs , d ) 490 sq mtrs , e ) 470 sq mtrs
Output: c
Input: Problem: 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 24 hours and 8 hours respectively . the ratio of their speeds is 
Options: a ) 4 : 9 , b ) 4 : 3 , c ) 1 : 3 , d ) 4 : 8 , e ) 4 : 5
Output: c
Input: Problem: 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 ? 
Options: ['a ) 2150', 'b ) 2250', 'c ) 2350', 'd ) 2850', 'e ) 3250']
Output: b
Input: Problem: if the population of a certain country increases at the rate of one person every 45 seconds , by how many persons does the population increase in 1 hour ? 
Options: a ) 80 , b ) 120 , c ) 150 , d ) 180 , e ) 160
Output: a
Input: Problem: 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 ? 
Options: a ) 48 , b ) 50 , c ) 52 , d ) 54 , e ) 56
Output: e
Input: Problem: 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 ? 
Options: a ) 16 days , b ) 12 days , c ) 8 days , d ) 6 days , e ) 18 days
Output: c
Input: Problem: 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 ? 
Options: a ) 48.29 , b ) 50 , c ) 26.8 , d ) 45.29 , e ) 30
Output: a
Input: Problem: 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 ? 
Options: a ) 35 , b ) 36 , c ) 40 , d ) 42 , e ) 45
Output: c
Input: Problem: a train 1000 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 ) 288 m , b ) 256 m , c ) 1000 m , d ) 278 m , e ) 287 m
Output: c
Input: Problem: two pipes a and b can fill a tank in 30 and 60 minutes respectively . if both the pipes are used together , then how long will it take to fill the tank ? 
Options: a ) 10 , b ) 20 , c ) 30 , d ) 24 , e ) 25
Output: b
Input: Problem: 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 ? 
Options: a ) 124545 m , b ) 134561 m , c ) 156787 m , d ) 15450 m , e ) 120000 m
Output: e
Input: Problem: 39 men can complete a piece of work in 18 days . in how many days will 27 men complete the same work ? 
Options: a ) 24 , b ) 77 , c ) 26 , d ) 25 , e ) 13
Output: c
Input: Problem: find the perimetri of trapezium with sides 4 , 6,12 and distance between two parallel side is 3 . 
Options: ['a ) 27', 'b ) 26', 'c ) 28', 'd ) 25', 'e ) 24']
Output: a
Input: Problem: if 5 spiders make 5 webs in 5 days , then 1 spider will make 1 web in how many days ? 
Options: a ) 7 , b ) 6 , c ) 5 , d ) 4 , e ) 3
Output: c