Lots-of-LoRAs/task1422_mathqa_physics huggingface dataset:
Input: Problem: 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 12 days before the completion of the work . in how many days was the work completed ? 
Options: a ) 13 days , b ) 16 days , c ) 18 days , d ) 11 days , e ) 38 days
Output: a
Input: Problem: 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 ? 
Options: a ) 5 days , b ) 8 days , c ) 9 days , d ) 10 days , e ) 11 days
Output: a
Input: Problem: 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 ? 
Options: a ) 10 , b ) 13 , c ) 26 , d ) 15 , e ) 16
Output: c
Input: Problem: 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 ? 
Options: a ) 2 , b ) 4 , c ) 8 , d ) 10 , e ) 12
Output: c
Input: Problem: 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 ? 
Options: a ) 176 , b ) 124 , c ) 224 , d ) 186 , e ) 190
Output: a
Input: Problem: david 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 600 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 4,800 . 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 . ? 
Options: a ) 2400 , b ) 3600 , c ) 3000 , d ) 2800 , e ) 2500
Output: a
Input: Problem: 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 ? 
Options: a ) 5 days , b ) 7 days , c ) 12 days , d ) 24 days , e ) 10 days
Output: d
Input: Problem: 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 ? 
Options: a ) 12 , b ) 15 , c ) 17 , d ) r = 18 , e ) 20
Output: d
Input: Problem: 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 ? 
Options: a ) 388 , b ) 266 , c ) 350 , d ) 112 , e ) 134
Output: c
Input: Problem: 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 . 
Options: a ) 10 s , b ) 11 s , c ) 4 s , d ) 8 s , e ) 12 s
Output: b
Input: Problem: a , b and c can do a piece of work in 4 days , 6 days and 8 days respectively . how long will they taken , if all the three work together ? 
Options: a ) 2 , b ) 4 , c ) 5 , d ) 1 11 / 13 , e ) 9
Output: d
Input: Problem: a train running at the speed of 90 km / hr crosses a pole in 12 seconds . find the length of the train ? 
Options: a ) 150 , b ) 872 , c ) 287 , d ) 288 , e ) 300
Output: e
Input: Problem: pipe p can drain the liquid from a tank in 4 / 4 the time that it takes pipe q to drain it and in 2 / 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 ? 
Options: a ) 9 / 29 , b ) 8 / 23 , c ) 3 / 4 , d ) 17 / 29 , e ) 3 / 8
Output: e
Input: Problem: if the perimeter of a rectangular garden is 600 m , its length when its breadth is 150 m is ? 
Options: a ) 150 m , b ) 899 m , c ) 200 m , d ) 166 m , e ) 187 m
Output: a
Input: Problem: 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 ? 
Options: a ) a ) 5.333 , b ) b ) 6 , c ) c ) 6.666 , d ) d ) 8.333 , e ) e ) 9
Output: c
Input: Problem: a and b complete a work in 7 days . a alone can do it in 14 days . if both together can do the work in how many days ? 
Options: a ) 4.6 days , b ) 4.78 days , c ) 5.65 days , d ) 3.77 days , e ) 5.75 days
Output: a
Input: Problem: a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 1000 m long ? 
Options: a ) 220 sec , b ) 190 sec , c ) 167 sec , d ) 197 sec , e ) 179 sec
Output: a
Input: Problem: find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 20 cm ? 
Options: a ) 827 cm 2 , b ) 380 cm 2 , c ) 285 cm 2 , d ) 178 cm 2 , e ) 176 cm 2
Output: b
Input: Problem: a train 150 meters long completely crosses a 320 meters long bridge in 40 seconds . what is the speed of the train is ? 
Options: a ) 32 , b ) 42 , c ) 54 , d ) 66 , e ) 09
Output: b
Input: Problem: 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 ? 
Options: a ) 111.12 , b ) 111.67 , c ) 428.57 , d ) 111.11 , e ) 101.12
Output: c
Input: Problem: 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 : 
Options: a ) 15.8 sec . , b ) 11.52 sec . , c ) 11.8 sec . , d ) 10.8 sec . , e ) 08.8 sec .
Output: b
Input: Problem: 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 ? 
Options: a ) 45 , b ) 12 , c ) 15 , d ) 18 , e ) 20
Output: a
Input: Problem: 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 . 
Options: a ) 45 kmph , b ) 50 kmph , c ) 55 kmph , d ) 60 kmph , e ) 79 kmph
Output: e
Input: Problem: a train 700 m long can cross an electric pole in 40 sec and then find the speed of the train ? 
Options: a ) 987 , b ) 271 , c ) 72 , d ) 27 , e ) 63
Output: e
Input: Problem: 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 . 
Options: a ) 8 , b ) 4 , c ) 15 , d ) 6 , e ) 12
Output: d
Input: Problem: 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 ? 
Options: a ) 10 days , b ) 50 days , c ) 100 days , d ) 150 days , e ) 200 days
Output: d
Input: Problem: 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 ? 
Options: a ) 10 days , b ) 30 days , c ) 20 days , d ) 80 days , e ) 40 days
Output: e
Input: Problem: a man can row upstream at 12 kmph and downstream at 38 kmph , and then find the speed of the man in still water ? 
Options: a ) 11 , b ) 25 , c ) 30 , d ) 88 , e ) 34
Output: b
Input: Problem: a train passes a station platform in 36 sec and a man standing on the platform in 24 sec . if the speed of the train is 54 km / hr . what is the length of the platform ? 
Options: a ) 767 m , b ) 240 m , c ) 180 m , d ) 176 m , e ) 186 m
Output: c
Input: Problem: 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 ? 
Options: a ) 10 days , b ) 12 days , c ) 14 days , d ) 16 days , e ) 18 days
Output: b
Input: Problem: a car covers a distance of 624 km in 2 2 / 5 hours . find its speed ? 
Options: a ) 104 kmph , b ) 194 kmph , c ) 109 kmph , d ) 260 kmph , e ) 271 kmph
Output: d
Input: Problem: a work can be finished in 16 days by 30 women . the same work can be finished in 10 days by sixteen men . the ratio between the capacity of a man and a woman is 
Options: a ) 3 : 1 , b ) 4 : 3 , c ) 2 : 3 , d ) 2 : 1 , e ) 2 : 4
Output: a
Input: Problem: a work crew of 6 men takes 9 days to complete one - half of a job . if 12 men are then added to the crew and the men continue to work at the same rate , how many days will it take the enlarged crew to do the rest of the job ? 
Options: a ) 2 , b ) 3 , c ) 3 1 / 3 , d ) 4 , e ) 4 4 / 5
Output: b
Input: Problem: 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 ? 
Options: a ) 15 women , b ) 85 women , c ) 75 women , d ) 65 women , e ) 35 women
Output: a
Input: Problem: 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 ?   
Options: a ) 12.5 m , b ) 10.5 m , c ) 14 , d ) 12 , e ) 10
Output: a
Input: Problem: the length of the bridge , which a train 160 meters long and travelling at 45 km / hr can cross in 30 seconds , is ? 
Options: a ) 766 m , b ) 156 m , c ) 215 m , d ) 156 m , e ) 156 m
Output: c
Input: Problem: water boils at 212 ° f or 100 ° c and ice melts at 32 ° f or 0 ° c . if the temperature of a pot of water is 45 ° c , what is the temperature of the pot of water in ° f ? 
Options: a ) 92 ° f , b ) 97 ° f , c ) 104 ° f , d ) 113 ° f , e ) 118 ° f
Output: d
Input: Problem: a truck covers a distance of 550 metres in 1 minute whereas a train covers a distance of 33 kms in 45 minutes . what is the ratio of their speed ? 
Options: a ) 3 : 7 , b ) 4 : 7 , c ) 1 : 4 , d ) 3 : 4 , e ) 2 : 5
Output: d
Input: Problem: 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 ? 
Options: a ) 75 m . , b ) 80 m . , c ) 150 m . , d ) 142 m . , e ) none of the above
Output: d
Input: Problem: 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 ? 
Options: a ) 2 / 5 , b ) 1 / 6 , c ) 1 / 4 , d ) 1 / 9 , e ) 2 / 9
Output: e
Input: Problem: 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 . 
Options: a ) 22 , b ) 24 , c ) 26 , d ) 28 , e ) none of them
Output: a
Input: Problem: two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 60 kmph respectively . in what time will they cross each other completely ? 
Options: a ) 15 sec , b ) 19 sec , c ) 12 sec , d ) 12.9 sec , e ) 11 sec
Output: d
Input: Problem: express a speed of 414 kmph in meters per second ? 
Options: a ) 201 mps , b ) 114 mps , c ) 118 mps , d ) 115 mps , e ) 111 mps
Output: d
Input: Problem: a man can row at 5 kmph in still water . if the velocity of current is 3 kmph and it takes him 1 hour to row to a place and come back , how far is the place ? 
Options: a ) 2.4 km , b ) 2.9 km , c ) 3.4 km , d ) 4.4 km , e ) 1.6 km
Output: e
Input: Problem: a thief goes away with a santro car at a speed of 40 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 ? 
Options: a ) a ) 2 , b ) b ) 5 , c ) c ) 7 , d ) d ) 5 , e ) e ) 1
Output: e
Input: Problem: a boat goes 100 km downstream in 10 hours , and 60 m upstream in 15 hours . the speed of the stream is ? 
Options: a ) 3 , b ) 22 1 / 4 , c ) 22 1 / 2 , d ) 22 1 / 1 , e ) 22 1 / 3
Output: a
Input: Problem: a can do a work in 6 days . b can do the same work in 4 days . both a & b together will finish the work and they got $ 2000 from that work . find their shares ? 
Options: a ) 600,400 , b ) 500,500 , c ) 300,700 , d ) 800,1200 , e ) 550,1450
Output: d
Input: Problem: 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 ? 
Options: a ) 25 , b ) 30 , c ) 40 , d ) 45 , e ) 54
Output: e
Input: Problem: 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 ? 
Options: a ) 25 days , b ) 88 days , c ) 21 days , d ) 27 days , e ) 13 days
Output: d
Input: Problem: in what time will a train 150 metres long cross an electric pole , if its speed be 122 km / hr ? 
Options: a ) 2.42 , b ) 6.42 , c ) 5.42 , d ) 4.42 , e ) 3.42
Output: d
Input: Problem: a man can row downstream at 22 kmph and upstream at 10 kmph . find the speed of the man in still water and the speed of stream respectively ? 
Options: a ) 16 , 2 , b ) 16 , 4 , c ) 16 , 8 , d ) 16 , 6 , e ) 16 , 7
Output: d
Input: Problem: efrida and frazer who live 15 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 ? 
Options: a ) 6 , b ) 7 , c ) 8 , d ) 10 , e ) 13
Output: e
Input: Problem: 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 ? 
Options: a ) 1 , b ) 46 , c ) 20 , d ) 26 , e ) 30
Output: b
Input: Problem: 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 ? 
Options: a ) 10 , b ) 15 , c ) 20 , d ) 25 , e ) 30
Output: a
Input: Problem: 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 ? 
Options: a ) 42 , b ) 44 , c ) 46 , d ) 36 , e ) 50
Output: d
Input: Problem: a train running at 1 / 5 of its own speed reached a place in 20 hours . how much time could be saved if the train would have run at its own speed ? 
Options: a ) 8 hrs , b ) 10 hrs , c ) 12 hrs , d ) 16 hrs , e ) 6 hrs
Output: d
Input: Problem: 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 ? 
Options: a ) 144 , b ) 255 , c ) 148 , d ) 265 , e ) 320
Output: a
Input: Problem: 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 ? 
Options: a ) 9 , b ) 18.4 , c ) 15.5 , d ) 16.7 , e ) 13.4
Output: c
Input: Problem: 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 ? 
Options: a ) 425 , b ) 435 , c ) 445 , d ) 455 , e ) 465
Output: b
Input: Problem: 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 ? 
Options: a ) 4.5 hrs , b ) 5 hrs , c ) 6.5 hrs , d ) 7.25 hrs , e ) 11.25 hrs
Output: e
Input: Problem: 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 ? 
Options: a ) 12 days , b ) 6 days , c ) 5 days , d ) 4 days , e ) none of these
Output: a
Input: Problem: a is twice as good a work man as b and together they finish a piece of work in 16 days . the number of days taken by a alone to finish the work is : 
Options: a ) 36 days , b ) 24 days , c ) 46 days , d ) 16 days , e ) 14 days
Output: b
Input: Problem: 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 ? 
Options: a ) 110 days , b ) 11 days , c ) 15 days , d ) 20 days , e ) 17 days
Output: c
Input: Problem: 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 . 
Options: a ) 4211000 , b ) 1211000 , c ) 5211000 , d ) 2211000 , e ) 3211000
Output: e
Input: Problem: ajay can walk 6 km in 1 hour . in how many hours he can walk 70 km ? 
Options: a ) 5 hrs , b ) 11.6 hrs , c ) 15.6 hrs , d ) 20.1 hrs , e ) 30 hrs
Output: b
Input: Problem: due to construction , the speed limit along an 10 - mile section of highway is reduced from 55 miles per hour to 30 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 ) a ) 6.24 , b ) b ) 8 , c ) c ) 10 , d ) d ) 9.1 , e ) e ) 24
Output: d
Input: Problem: 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 ? 
Options: a ) 72 / 17 , b ) 17 / 72 , c ) 14 / 24 , d ) 24 / 56 , e ) 34 / 56
Output: a
Input: Problem: a train passes a station platform in 62 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 ? 
Options: a ) 615 m , b ) 240 m , c ) 168 m , d ) 444 m , e ) 691 m
Output: d
Input: Problem: 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 ? 
Options: a ) 6 meters , b ) 7 meters , c ) 8 meters , d ) 9 meters , e ) 10 meters
Output: a
Input: Problem: 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 ? 
Options: a ) 1 / 5 , b ) 29 / 35 , c ) 5 / 6 , d ) 35 / 29 , e ) 35 / 12
Output: d
Input: Problem: due to construction , the speed limit along an 5 - mile section of highway is reduced from 52 miles per hour to 36 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 ) a ) 3.12 , b ) b ) 8 , c ) c ) 10 , d ) d ) 2.57 , e ) e ) 24
Output: d
Input: Problem: 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 ? 
Options: a ) 28 sec , b ) 23 sec , c ) 24 sec , d ) 25 sec , e ) 26 sec
Output: e
Input: Problem: 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 ? 
Options: a ) 20 , b ) 24 , c ) 26 , d ) 28 , e ) 30
Output: e
Input: Problem: 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 ) 
Options: a ) 18 , b ) 24 , c ) 60 , d ) 36 , e ) 48
Output: c
Input: Problem: a can do a piece of work in 20 days and b alone can do it in 10 days . b works at it for 5 days and then leaves . a alone can finish the remaining work in 
Options: a ) 10 days , b ) 6 days , c ) 7.5 days , d ) 8.5 days , e ) 9 days
Output: a
Input: Problem: if the weight of 12 meters long rod is 12.2 kg . what is the weight of 6 meters long rod ? 
Options: a ) 7.2 kg . , b ) 10.8 kg . , c ) 12.4 kg . , d ) 6.1 kg , e ) none
Output: d
Input: Problem: a train 280 m long can cross an electric pole in 20 sec and then find the speed of the train ? 
Options: a ) 88 kmph , b ) 89 kmph , c ) 72 kmph , d ) 50 kmph , e ) 18 kmph
Output: d
Input: Problem: 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 : 
Options: a ) 5 kmph , b ) 6 kmph , c ) 6.25 kmph , d ) 7 kmph , e ) 7.8 kmph
Output: d
Input: Problem: a and b can do a piece of work in 60 days and 60 days respectively . they work together for 10 days and b leaves . in how many days the whole work is completed ? 
Options: a ) 30 days , b ) 35 days , c ) 40 days , d ) 45 days , e ) 50 days
Output: a
Input: Problem: 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 ? 
Options: a ) 10 : 00 , b ) 10 : 30 , c ) 11 : 00 , d ) 11 : 30 , e ) 12 : 00
Output: a
Input: Problem: 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 ? 
Options: a ) 13 , b ) 14 , c ) 15 , d ) 16 , e ) 17
Output: c
Input: Problem: convert 300 inches into centimeter ? 
Options: a ) 762 cm , b ) 750 cm , c ) 650 cm , d ) 710 cm , e ) 754 cm
Output: e
Input: Problem: 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 ? 
Options: a ) 22 , b ) 24 , c ) 26 , d ) 28 , e ) none of them
Output: c
Input: Problem: a man can do a piece of work in 5 days , but with the help of his son , he can finish it in 3 days . in what time can the son do it alone ? 
Options: a ) 5 , b ) 5 1 / 2 , c ) 7 1 / 2 , d ) 6 , e ) 9 1 / 2
Output: c
Input: Problem: 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 ? 
Options: a ) 10 kmph , b ) 20 kmph , c ) 15 kmph , d ) 30 kmph , e ) 25 kmph
Output: b
Input: Problem: 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 ? 
Options: a ) 52 kmph . , b ) 62 kmph . , c ) 97 kmph . , d ) 80 kmph . , e ) none
Output: c
Input: Problem: the length of the bridge , which a train 100 metres long and travelling at 45 km / hr can cross in 30 seconds , is ? 
Options: a ) 10 m , b ) 16 m , c ) 275 m , d ) 19 m , e ) 27 m
Output: c
Input: Problem: stacy and heather are 20 miles apart and walk towards each other along the same route . stacy walks at constant rate that is 2 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 ? 
Options: a ) 5 miles , b ) 7 miles , c ) 9 miles , d ) 10 miles , e ) 12 miles
Output: b
Input: Problem: there is a 45 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 45 cm , how many insects were still left after the race was over ? 
Options: a ) 0 , b ) 4 , c ) 6 , d ) 7 , e ) 10
Output: e
Input: Problem: 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 ? 
Options: a ) 4 days , b ) 5 days , c ) 6 days , d ) 7 days , e ) 8 days
Output: a