Lots-of-LoRAs/task1422_mathqa_physics huggingface dataset:
Input: Problem: tom , working alone , can paint a room in 6 hours . peter and john , working independently , can paint the same room in 3 hours and 6 hours , respectively . tom starts painting the room and works on his own for one hour . he is then joined by peter and they work together for an 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 ? 
Options: a ) 1 / 2 , b ) 1 / 3 , c ) 1 / 4 , d ) 2 / 3 , e ) 2 / 5
Output: a
Input: Problem: 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 ? 
Options: a ) 95 minutes , b ) 90 minutes , c ) 88 minutes , d ) 95 minutes , e ) none of these
Output: b
Input: Problem: find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 10 cm . 
Options: a ) 287 cm 2 , b ) 190 cm 2 , c ) 180 cm 2 , d ) 785 cm 2 , e ) 295 cm 2
Output: b
Input: Problem: a train 360 m long is running at a speed of 42 km / hr . in what time will it pass a bridge 140 m long ? 
Options: a ) 40 sec , b ) 29 sec , c ) 26 sec , d ) 27 sec , e ) 43 sec
Output: e
Input: Problem: 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 ? 
Options: a ) 10.9 sec , b ) 13.8 sec , c ) 53.8 sec , d ) 10.44 sec , e ) 10.4 sec
Output: d
Input: Problem: what decimal fraction is 20 ml of a litre ? 
Options: a ) . 2 , b ) 0.002 , c ) . 05 , d ) . 02 , e ) none of these
Output: d
Input: Problem: a man can row upstream at 35 kmph and downstream at 45 kmph , and then find the speed of the man in still water ? 
Options: a ) 32 kmph , b ) 34 kmph , c ) 40 kmph , d ) 45 kmph , e ) 65 kmph
Output: c
Input: Problem: 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 ? 
Options: a ) 2 , b ) 48 / 15 , c ) 7 / 9 , d ) 10 , e ) 24 / 7
Output: b
Input: Problem: a train running at a speed of 60 kmph crosses a pole in 18 seconds . what is the length of the train ? 
Options: a ) 120 m , b ) 300 m , c ) 190 m , d ) 150 m , e ) 160 m
Output: b
Input: Problem: in what time will a train 100 metres long cross an electic pole , if its speed be 144 km / hr ? 
Options: a ) 2.5 sec , b ) 4.25 sec , c ) 5 sec , d ) 12.5 sec , e ) none
Output: a
Input: Problem: two cars are driving towards one another . the first car is traveling at a speed of 120 km / h , which is 28 % faster than the second car . if the distance between the cars is 855 km , how long will it takes the cars to meet ( in hours ) ? 
Options: a ) 2.5 . , b ) 3 . , c ) 3.5 , d ) 4 . , e ) 4.5 .
Output: d
Input: Problem: 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 ’ s average speed was 10 miles per hour greater than that of car r , what was car r ’ s average speed , in miles per hour ? 
Options: a ) 34 , b ) 50 , c ) 60 , d ) 70 , e ) 80
Output: a
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 e between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ? 
Options: a ) 12 , b ) 15 , c ) 17 , d ) e = 18 , e ) 20
Output: d
Input: Problem: the speed of a train is 120 kmph . what is the distance covered by it in 40 minutes ? 
Options: a ) 50 kmph , b ) 60 kmph , c ) 70 kmph , d ) 80 kmph , e ) 85 kmph
Output: d
Input: Problem: 600 men have provisions for 20 days . if 200 more men join them , for how many days will the provisions last now ? 
Options: a ) 15 , b ) 11 , c ) 10 , d ) 8 , e ) 7
Output: a
Input: Problem: 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 ? 
Options: a ) 35 , b ) 24 , c ) 14 , d ) 24 , e ) 12
Output: d
Input: Problem: at 6 ′ o a clock ticks 6 times . the time between first and last ticks is 45 seconds . how long does it tick at 12 ′ o clock 
Options: a ) 47 , b ) 76 , c ) 28 , d ) 66 , e ) 99
Output: e
Input: Problem: the perimeter of a semi circle is 216 cm then the radius is ? 
Options: a ) 26 , b ) 48 , c ) 98 , d ) 37 , e ) 42
Output: e
Input: Problem: a train covers a distance of 20 km in 30 min . if it takes 18 sec to pass a telegraph post , then the length of the train is ? 
Options: a ) 298 m , b ) 125 m , c ) 120 m , d ) 217 m , e ) 200 m
Output: e
Input: Problem: angelina walked 600 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 ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 9 , e ) 12
Output: d
Input: Problem: 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 ? 
Options: a ) 4 minutes , b ) 32 / 7 minutes , c ) 192 / 7 minutes , d ) 224 / 7 minutes , e ) 32 / 5 minutes
Output: e
Input: Problem: in what time will a train 100 meters long cross an electric pole , if its speed is 144 km / hr 
Options: a ) 8.5 seconds , b ) 2.8 seconds , c ) 3.5 seconds , d ) 2.5 seconds , e ) 2.6 seconds
Output: d
Input: Problem: how many pieces of 0.35 meteres can be cut from a rod 12.5 meteres long 
Options: a ) 30 , b ) 40 , c ) 35 , d ) 60 , e ) 70
Output: c
Input: Problem: 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 ? 
Options: a ) 144 hours , b ) 124 hours , c ) 134 hours , d ) 154 hours , e ) 164 hours
Output: a
Input: Problem: 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 
Options: a ) 27 , b ) 87 , c ) 40 , d ) 18 , e ) 17
Output: c
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 20 days to complete the same work . then q alone can do it in 
Options: a ) 20 , b ) 22 , c ) 25 , d ) 27 , e ) 40
Output: e
Input: Problem: 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 ) 
Options: ['a ) 2345', 'b ) 3456', 'c ) 4567', 'd ) 5678', 'e ) 6789']
Output: b
Input: Problem: 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 ? 
Options: a ) $ 33.75 , b ) $ 48.00 , c ) $ 51.75 , d ) $ 54.00 , e ) $ 70.00
Output: b
Input: Problem: how many shots of 1 cm radius can be prepared from a sphere of 7 cm radius ? 
Options: a ) 343 , b ) 388 , c ) 327 , d ) 88 , e ) 99
Output: a
Input: Problem: 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 ? 
Options: a ) 18.6 , b ) 27 , c ) 12 , d ) 121 , e ) 28
Output: a
Input: Problem: 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 ? 
Options: a ) 28 , b ) 32 , c ) 36 , d ) 40 , e ) 44
Output: b
Input: Problem: a and b can do a work in 6 days , b and c in 2 days and c and a in 8 days . in how many days will the work be completed , if all three of them work together ? 
Options: a ) 12 / 24 , b ) 48 / 63 , c ) 45 / 56 , d ) 48 / 19 , e ) 28 / 12
Output: d
Input: Problem: 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 ? 
Options: a ) 220 meter , b ) 225 meter , c ) 230 meter , d ) 350 meter , e ) none of these
Output: d
Input: Problem: if 0 is the remainder when m is divided by 4 , what is the remainder when 6 m is divided by 4 ? 
Options: a ) 0 , b ) 1 , c ) 2 , d ) 3 , e ) 4
Output: a
Input: Problem: 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 ? 
Options: a ) 8 , b ) 10 , c ) 2 , d ) 17 , e ) 19
Output: c
Input: Problem: find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 14 cm . 
Options: a ) 335 cm 2 , b ) 885 cm 2 , c ) 285 cm 2 , d ) 825 cm 2 , e ) 266 cm 2
Output: e
Input: Problem: a train 125 m long passes a man , running at 10 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ? 
Options: a ) 36 , b ) 50 , c ) 55 , d ) 26 , e ) 29
Output: c
Input: Problem: two trains of length 100 m and 200 m are 100 m apart . they start moving towards each other on parallel tracks , at speeds 18 kmph and 72 kmph . in how much time will the trains cross each other ? 
Options: a ) 8 , b ) 16 , c ) 11 , d ) 12 , e ) 21
Output: b
Input: Problem: a , b and c can do a work in 6 , 9 and 12 days respectively doing the work together and get a payment of rs . 1800 . what is b ’ s share ? 
Options: a ) rs . 245.8 , b ) rs . 653.8 , c ) rs . 300 , d ) rs . 400 , e ) rs . 748.5
Output: b
Input: Problem: 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 ? 
Options: a ) 2 / 5 , b ) 3 / 5 , c ) 8 / 15 , d ) 1 / 2 , e ) 7 / 5
Output: b
Input: Problem: the speed of a train is 90 kmph . what is the distance covered by it in 5 minutes ? 
Options: a ) 7.5 , b ) 66 , c ) 77 , d ) 52 , e ) 42
Output: a
Input: Problem: 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 18 men , 4 women and 10 children together complete the piece of work ? 
Options: a ) 5 days , b ) 15 days , c ) 28 days , d ) 4 days , e ) 7 days
Output: d
Input: Problem: 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 15 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 ? 
Options: a ) 20 , b ) 40 , c ) 60 , d ) 80 , e ) 100
Output: a
Input: Problem: a and b can do a piece of work in 10 days and 10 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 ) 40 days , c ) 50 days , d ) 60 days , e ) 70 days
Output: a
Input: Problem: one pump drains one - half of a pond in 2 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 ? 
Options: a ) 1.3 hour , b ) 1.2 hour , c ) 3 hours , d ) 5 hours , e ) 6 hours
Output: a
Input: Problem: in what time will a train 400 m long cross an electric pole , it its speed be 144 km / hr ? 
Options: a ) 2.5 sec , b ) 12.9 sec , c ) 11.3 sec , d ) 21.9 sec , e ) 10.0 sec
Output: e
Input: Problem: an aeroplane covers a certain distance at a speed of 240 kmph in 4 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of : 
Options: a ) 520 , b ) 620 , c ) 576 , d ) 740 , e ) 720
Output: c
Input: Problem: 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 ? 
Options: a ) 5624 , b ) 5625 , c ) 5626 , d ) 5627 , e ) none
Output: b
Input: Problem: a worker makes a toy in every 1 h . if he works for 100 h , then how many toys will he make ? 
Options: a ) 40 , b ) 54 , c ) 45 , d ) 39 , e ) 100
Output: e
Input: Problem: 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 ? 
Options: a ) 19 , b ) 27 , c ) 51 , d ) 47 , e ) 28
Output: c
Input: Problem: 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 
Options: a ) 5600 , b ) 600 , c ) 6400 , d ) 7200 , e ) none of these
Output: c
Input: Problem: suppose 6 monkeys take 6 minutes to eat 6 bananas . how many monkeys would it take to eat 18 bananas in 18 minutes ? 
Options: a ) 9 , b ) 10 , c ) 11 , d ) 6 , e ) 13
Output: d
Input: Problem: abel can complete a work in 8 days , ben in 12 days and carla in 15 days . all of them began the work together , but abel had to leave after 2 days and ben 3 days before the completion of the work . how long did the work last ? 
Options: a ) 4 , b ) 7 , c ) 8 , d ) 9 , e ) 10
Output: a
Input: Problem: 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 ? 
Options: a ) 105 , b ) 30 , c ) 35 , d ) 20 , e ) none of these
Output: a
Input: Problem: which greatest possible length can be used to measure exactly 15 meter 75 cm , 11 meter 25 cm and 7 meter 65 cm 
Options: a ) 45 cm , b ) 255 cm , c ) 244 cm , d ) 55 cm , e ) 280 cm
Output: b
Input: Problem: if the wheel is 12 cm then the number of revolutions to cover a distance of 1056 cm is ? 
Options: a ) 18 , b ) 26 , c ) 14 , d ) 12 , e ) 91
Output: c
Input: Problem: 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 ? 
Options: a ) 26 km / hr , b ) 17 km / hr , c ) 60 km / hr , d ) 77 km / hr , e ) 46 km / hr
Output: c
Input: Problem: the distance between delhi and mathura is 150 kms . a starts from delhi with a speed of 25 kmph at 5 a . m . for mathura and b starts from mathura with a speed of 40 kmph at 6 p . m . from delhi . when will they meet ? 
Options: a ) 11 , b ) 77 , c ) 8 , d ) 10 , e ) 12
Output: c
Input: Problem: 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 ? 
Options: a ) 24 , b ) 23 , c ) 24 , d ) 20.57 , e ) 22
Output: d
Input: Problem: what is the least number of square tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ? 
Options: a ) 724 , b ) 804 , c ) 814 , d ) 844 , e ) none
Output: c
Input: Problem: the speed of a train is 70 kmph . what is the distance covered by it in 10 minutes ? 
Options: a ) 10.66 kmph , b ) 11.66 kmph , c ) 21.66 kmph , d ) 12.66 kmph , e ) 11.96 kmph
Output: b
Input: Problem: 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 ? 
Options: a ) 5 km , b ) 15 km , c ) 8 km , d ) 10 km , e ) 20 km
Output: d
Input: Problem: 20 people can write 50 book in 15 days working 8 hour a day . then in how many day 200 can be written by 60 people ? 
Options: a ) 200 , b ) 100 , c ) 50 , d ) 70 , e ) 25
Output: b
Input: Problem: 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 ? 
Options: a ) 2 : 5 , b ) 2 : 9 , c ) 2 : 4 , d ) 2 : 1 , e ) 2 : 2
Output: d
Input: Problem: the perimeter of a semi circle is 122 cm then the radius is ? 
Options: a ) 17 , b ) 28 , c ) 24 , d ) 11 , e ) 12
Output: c
Input: Problem: speed of a boat in standing water is 9 kmph and speed of the stream is 1.5 kmph . a man can rows to a place at a distance of 105 km and comes back to the starting point . the total time taken by him is ? 
Options: a ) 12 hours , b ) 24 hours , c ) 36 hours , d ) 10 hours , e ) 15 hours
Output: b
Input: Problem: 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 ? 
Options: a ) 6 , b ) 24 , c ) 8 , d ) 12 , e ) 44
Output: a
Input: Problem: a train which has 250 m long , is running 40 kmph . in what time will it cross a person moving at 4 kmph in same direction ? 
Options: a ) 30 sec , b ) 28 sec , c ) 29 sec , d ) 35 sec , e ) 25 sec
Output: e
Input: Problem: 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 ? 
Options: a ) 4 / 15 , b ) 7 / 30 , c ) 11 / 30 , d ) 7 / 18 , e ) 5 / 18
Output: c