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330
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a shipment of 240 smartphones contains 84 that are defective . if a customer buys two smartphones at random from the shipment , what is the approximate probability that both phones are defective ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a shipment of 230 smartphones contains 84 that are defective . if a customer buys two smartphones at random from the shipment , what is the approximate probability that both phones are defective ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 2 percent and the mobile phone at a profit of 10 percent . overall he make a ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a number is said to be prime saturated if the product of all the different positive prime factors of z is less than the square root of z . what is the greatest two digit prime saturated integer ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a number is said to be prime saturated if the product of all the different positive prime factors of t is less than the square root of t . what is the greatest two digit prime saturated integer ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the product z of two prime numbers is between 16 and 40 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 12 but less than 30 then what is z ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: it takes avery 3 hours to build a brick wall while tom can do it in 4 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 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: john has 10 pairs of matched socks . if he loses 3 individual socks , what is the greatest number of pairs of matched socks he can have left ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the maximum value of the function f ( x ) = x − 5 if x is a number between - 5 and 13 ." ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: john has 10 pairs of matched socks . if he loses 13 individual socks , what is the greatest number of pairs of matched socks he can have left ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a man cheats while buying as well as while selling . while buying he takes 10 % more than what he pays for and while selling he gives 20 % less than what he claims to . find the profit percent , if he sells at 10 % below the cost price of the claimed weight ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg , what is his percent ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a tradesman by means of his false balance defrauds to the extent of 20 % ? in buying goods as well as by selling the goods . what percent does he gain on his outlay ? a . 20 % b . 45 %" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: i chose a number and divide it by 8 . then i subtracted 160 from the result and got 12 . what was the number i chose ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: i chose a number and divide it by 12 . then i subtracted 240 from the result and got 8 . what was the number i chose ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the smallest number by which 2880 must be divided in order to make it into a perfect square ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: on the first of the year , james invested x dollars at proudstar bank in an account that yields 0.5 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: on the first of the year , james invested x dollars at proudstar bank in an account that yields 4 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: on the first of the year , james invested x dollars at proudstar bank in an account that yields 2.5 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what could be the range of a set consisting of odd multiples of 9 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: each digit 1 through 5 is used exactly once to create a 5 - digit integer . if the 3 and the 4 can not be adjacent digits in the integer , how many 5 - digit integers are possible ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if # is an operation which results in adding the digits of integer until a single digit is left , what is the probability that a number picked up in first 90 positive integers will have the result of # as an odd digit ? ( example 99 = 9 + 9 = 18 = 1 + 8 = 9 , so # = 9 )" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a glass was filled with 10 ounces of water , and 0.01 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a bowl was filled with 10 ounces of water , and 0.004 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 20 : 50 : 80 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 100 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute . after 10 minutes , the water level decreases 16 meters . what is value of the radius in meters ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute . after 10 minutes , the water level decreases 1 / 9 meters . what is value of the radius in meters ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the wages earned by robin is 38 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much % is the wages earned by charles more than that earned by robin ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: farm tax is levied on the 45 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . willam . mr . willam paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is :" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: john makes $ 40 a week from his job . he earns a raise and now makes $ 80 a week . what is the % increase ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the length of the bridge , which a train 160 m long and traveling at 45 km / hr can cross in 30 sec is ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many seconds will a train 60 meters long take to cross a bridge 120 meters long if the speed of the train is 30 m / sec ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if ( 5 + k ) ( 5 - k ) = ( 5 ^ 2 ) - ( 2 ^ 3 ) , then what is the value of k ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if x 2 + kx - 3 , is divisible by ( x - 1 ) , what is the value of k" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if n = 10 ^ 100 and n ^ n = 10 k what is the value of k ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a can do a piece of work in 22 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" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a can do a piece of work in 28 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" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a ratio between two numbers is 3 : 4 and their l . c . m . is 84 . the first number is" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the ratio of the present age of sandy to that of molly is 9 : 2 . eight years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if 40 % of a number is equal to two - third of another number , what is the ratio of first number to the second number ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the sum of divisors of 544 which are perfect squares ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many multiples of 4 are there between 12 and 92 , inclusive ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: which number need to add to 859622 to get a number divisible by 456 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: calculate the circumference of a circular field whose radius is 7 centimeters ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the sector of a circle has perimeter 83 cm and central angle 225 o . find its radius ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a circular ground whose diameter is 70 metres , has a 2.8 metre - broad garden around it . what is the area of the garden in square metres ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: on a saturday night , each of the rooms at a certain motel was rented for either $ 40 or $ 60 . if 10 of the rooms that were rented for $ 60 had instead been rented for $ 40 , then the total rent the motel charged for that night would have been reduced by 40 percent . what was the total rent the motel actually charged for that night ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: at a florist shop on a certain day , all corsages sold for either $ 20 or $ 30 . if 10 of the corsages that sold for $ 30 had instead sold for $ 20 , then the store ' s revenue from corsages that day would have been reduced by 20 percent . what was the store ' s actual revenue from corsages that day ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the shopkeeper sale , all of the prices of the items sold were different . if the price of a radio sold at the shopkeeper sale was both the 9 th highest price and the 14 th lowest price among the prices of the items sold , how many items were sold at the shopkeeper sale ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many integers between 1 and 10 ^ 16 are such that the sum of their digits is 2 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many integers between 1 and 10 ^ 19 are such that the sum of their digits is 2 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many different positive integers exist between 10 ^ 5 and 10 ^ 6 , the sum of whose digits is equal to 2 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a group of 7 boys and 8 girls , 5 members are to be selected . in how many different ways can they be selected such that at least 3 boys should be there ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many 4 - digit numbers are completely divisible by 7 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: from a total of 5 boys and 6 girls , how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: at what rate percent on simple interest will rs . 750 amount to rs . 900 in 8 years ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the rate percent when the simple interest on rs . 800 amount to rs . 128 in 4 years ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: at what rate percent on simple interest will rs . 750 amount to rs . 900 in 5 years ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: average expenditure of a person for the first 3 days of a week is rs . 320 and for the next 4 days is rs . 420 . average expenditure of the man for the whole week is :" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: during a pizza buffet where a eats more times 1.8 than b , and b eats 8 times less than c . find the leat number of times all the 3 has to eat" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a man bought 40 shares of rs . 60 at 8 discount , the rate of dividend being 1212 % the rate of interest obtained is" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: at a certain organisation , the number of male members went up by 15 % in the year 2001 from year 2000 , and the number of females members went down by 6 % in the same time period . if the total membership at the organisation went up by 1.2 % from the year 2000 to 2001 , what was the ratio of male members to female members in the year 2000 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a theater box office sold an average ( arithmetic mean ) of 65 tickets per staff member to a particular movie . among the daytime staff , the average number sold per member was 75 , and among the evening staff , the average number sold was 60 . if there are no other employees , what was the ratio of the number of daytime staff members to the number of evening staff members ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average price of an decoration piece increases over the years . if from 1990 to 1996 , the price of the decoration piece increased by 13 % and from 1996 to 2001 it increased by 20 % , what is the price of the decoration piece in 2001 if the price in 1990 was $ 11500 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: at a monthly meeting , 3 / 5 of the attendees were males and 7 / 8 of the male attendees arrived on time . if 4 / 5 of the female attendees arrived on time , what fraction of the attendees at the monthly meeting did not arrive on time ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: at a school , 3 - fifths of the male students and two - thirds of the female students speak a foreign language . if the number of males is equal to the number of females , what fraction of the students speak a foreign language ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: there are 750 male and female participants in a meeting . half the female participants and one - quarterof the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two brothers ram and ravi appeared for an exam . the probability of selection of ram is 4 / 7 and that of ravi is 1 / 5 . find the probability that both of them are selected ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two brother x and y appeared for an exam . the probability of selection of x is 1 / 3 and that of b is 2 / 7 . find the probability that both of them are selected ." ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a group of 7 boys and 8 girls , 5 members are to be selected . in how many different ways can they be selected such that at least 3 boys should be there ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: at what rate percent on simple interest will rs . 1500 amount to rs . 2000 in 5 years ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: at what rate percent on simple interest will rs . 1750 amount to rs . 2000 in 3 years ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: at what rate percent on simple interest will rs . 750 amount to rs . 900 in 5 years ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the area of circle o is added to its diameter . if the circumference of circle o is then subtracted from this total , the result is 4 . what is the area of circle o ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the area inscribed by the lines y = 6 , x = 3 , y = 2 x - 4 on an xy - coordinate plane ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in the coordinate plane , a circle centered on point ( - 3 , - 4 ) passes through point ( 1 , 2 ) . what is the area of the circle ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a man can row upstream at 25 kmph and downstream at 55 kmph , and then find the speed of the man in still water ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a car runs at the speed of 25 km per hour when not serviced and runs at 75 kmph when serviced . after servicing the car covers a certain distance in 5 hours . how much time will the car take to cover the same distance when not serviced ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the cost of the paint is rs . 40.00 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 10 feet each side" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the cost of the paint is rs . 50 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 20 feet each side" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a welder received an order to make a 1 million liter cube - shaped tank . if he has only 4 x 2 meter sheets of metal that can be cut , how many metal sheets will be required for this order y ? ( 1 cubic meter = 1000 liters )" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a chess competition involving some men and women , every player needs to play exactly one game with every other player . it was found that in 45 games , both the players were women and in 190 games , both players were men . what is the number of games in which one person was a man and other person was a woman ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 500000 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if each participant of a chess tournament plays exactly one game with each of the remaining participants , then 153 games will be played during the tournament . find the number of participants ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a lion chases a pony 7 hours after the pony runs . lion takes 8 hours to reach the pony . if the average speed of the lion is 49 kmph , what s the average speed of the pony ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 :" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if 7 ^ q is a factor of the product of the integers from 1 to 100 , inclusive , what is the largest value of q ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the remainder if 7 ^ 12 is divided by 100 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if the average of 5 positive integers is 70 and the difference between the largest and the smallest of these 5 numbers is 10 , what is the maximum value possible for the largest of these 5 integers ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a 100 m race a beats b by 25 m b beats c by 4 then a beats c by" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a man can row upstream at 25 kmph and downstream at 31 kmph , and then find the speed of the man in still water ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "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 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what least number must be added to 696 , so that the sum is completely divisible by 20 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many different positive integers are factors of 20 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if the average of 20 digits is 500 and the average of 14 of them is 390 , calculate the average of the remaining 6 numbers ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: simple interest on a certain sum at a certain annual rate of interest is 1 / 9 of the sum . if the numbers representing rate percent and time in years be equal , then the rate of interest is :" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if the simple interest on a certain sum of money for 6 years is one – fifth of the sum , then the rate of interest per annum is" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a sum fetched a total simple interest of $ 4151.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the original price of a suit is $ 160 . the price increased 25 % , and after this increase , the store published a 25 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 25 % off the increased price , how much did these consumers pay for the suit ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a couple spent $ 198 in total while dining out and paid this amount using a credit card . the $ 198 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food . what was the actual price of the food before tax and tip ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a bag marked at $ 125 is sold for $ 120 . the rate of discount is ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the ratio between the presents of the a and b is 2 : 3 . if b is 5 years older than a , what will be the ratio of the ages of a and b after 5 years ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the ratio between the present ages of a and b is 5 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in 10 years , a will be twice as old as b was 10 years ago . if a is now 5 years older than b the present age of b is" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 4.5 ) , ( 8 , 0 ) , ( 0 , - 4.5 ) , ( - 8 , 0 ) ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what could be the range of a set consisting of odd multiples of 9 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the area a of the square with the following coordinates : ( x , y ) , ( 20 , 20 ) , ( 20 , 5 ) , ( x , 5 ) ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the radius of a cylinder is 9 m , height 12 m . the volume of the cylinder is :" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a circular well with a diameter of 4 metres , is dug to a depth of 24 metres . what is the volume of the earth dug out ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if the radius of a cylinder is made 3 times and height is doubled , what is the new volume of the cylinder divided by the old one ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if a : b : : 3 : 7 , then what is ( 5 a + 2 b ) : ( a - 2 b ) ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the ratio of 5 / 7 to the product 3 * ( 7 / 3 ) ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 3 numbers are in the ratio 3 : 5 : 7 . the largest number value is 70 . find difference between smallest & largest number is ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if an article is sold at 18 % profit instead of 11 % profit , then the profit would be $ 56 more . what is the cost price ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the ratio between the sale price and the cost price of an article is 12 : 7 . what is the ratio between the profit and the cost price of that article ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a certain number of horses and an equal number of men are going somewhere . half of the owners are on their horses ' back while the remaining ones are walking along leading their horses . if the number of legs walking on the ground is 40 , how many horses are there ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a group of cows and hens , the number of legs are 16 more than twice the number of heads . the number of cows is :" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a horse is tethered to one corner of a rectangular grassy field 42 m by 26 m with a rope 16 m long . over how much area of the field can it graze ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: when positive integer n is divided by 3 , the remainder is 1 . when n is divided by 7 , the remainder is 5 . what is the smallest positive integer k such that k + n is a multiple of 21 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if x 2 + kx - 3 , is divisible by ( x - 1 ) , what is the value of k" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the smallest integer that is multiple of 5 , 711" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the ratio of money with ram and gopal is 7 : 17 and that with gopal and krishan is 7 : 17 . if ram has rs . 490 , krishan has ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: p , q and r have rs . 7000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if the ratio of two number is 6 : 7 and lcm of the number is 450 then what is the number ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 21 inches and the width of the wall is 28 inches , what is the length of the wall , in inches ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 54 inches and the width of the wall is 68 inches , what is the length of the wall , in inches ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares . through how many of the squares does a diagonal of the rectangle pass ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a train which has 500 m long , is running 100 kmph . in what time will it cross a person moving at 10 kmph in same direction ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a train 360 m long is running at a speed of 45 kmph . in what time will it pass a bridge 140 m long ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a train 100 m long passes a man , running at 5 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the credit card and a global payment processing companies have been suffering losses for some time now . a well known company recently announced its quarterly results . according to the results , the revenue fell to $ 48.0 billion from $ 72.0 billion , a year ago . by what percent did the revenue fall ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in february wilson ’ s earnings were 40 percent of his family ’ s total income . in march wilson earned 25 percent less than in february . if the rest of his family ’ s income was the same in both months , then , in march , wilson ’ s earnings were approximately what percent q of his family ’ s total income ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a store reported total sales of $ 385 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase in sales ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of 2 m + n ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the smallest number which should be multiplied with 560 to make it a perfect square ." ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if 2 ^ 4 , 3 ^ 3 , and 13 ^ 3 are factors of the product of 1,452 and w , where w is a positive integer , what is the smallest possible value of w ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a , b , c can complete a piece of work in 24 , 8,12 days . working together , they complete the same work in how many days ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a , b , c can complete a piece of work in 25 , 5,10 days . working together , they complete the same work in how many days ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 385 the other is" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 462 the other is" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if the product of two numbers is 45276 and their h . c . f . is 22 , find their l . c . m ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the least common multiple of 12,27 and 40" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the smallest number which when diminished by 2 , is divisible by 12 , 16 , 18 , 21 and 28 is" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the prime factors ’ number of 12 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: after decreasing 24 % in the price of an article costs rs . 684 . find the actual cost of an article ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 4650 , r will receive" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: an article is bought for rs . 675 and sold for rs . 775 , find the gain percent ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the mean of 50 observations is 200 . but later he found that there is decrements of 6 from each observations . what is the the updated mean is ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the total number of integers between 10 and 50 that are divisible by 2 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the mean of 50 observations is 200 . but later he found that there is decrements of 34 from each observations . what is the the updated mean is ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: okeydokey paid 5 apples at the apple investment booth for an unopened box of earthworms . artichokey paid 7 apples towards the same lot . the booth pays off earthworms proportional to the apples invested . the box turned out to contain 60 earthworms . how many of them should okeydokey receive ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: anne bought doughnuts for a class breakfast party . she bought 9 chocolate doughnuts , 7 coconut doughnuts , and 9 jam - filled doughnuts . how many doughnuts did anne buy in all ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: bill made a profit of 10 % by selling a product . if he had purchased that product for 10 % less and sold it at a profit of 30 % , he would have received $ 63 more . what was his original selling price ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 8 seconds . the length of the faster train is" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two trains of equal length are running on parallel lines in the same directions at 46 km / hr . and 36 km / hr . the faster trains pass the slower train in 72 seconds . the length of each train is :" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a ranch has both horses and ponies . exactly 3 / 10 of the ponies have horseshoes , and exactly 5 / 8 of the ponies with horseshoes are from iceland . if there are 4 more horses than ponies , what is the minimum possible combined number of horses and ponies on the ranch ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a ranch has both horses and ponies . exactly 5 / 7 of the ponies have horseshoes , and exactly 2 / 3 of the ponies with horseshoes are from iceland . if there are 4 more horses than ponies , what is the minimum possible combined number of horses and ponies on the ranch ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: on a certain farm the ratio of horses to cows is 4 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 13 : 7 . after the transaction , how many more horses than cows would the farm own ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 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 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a train passes a station platform in 30 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 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many seconds will it take for a car that is traveling at a constant rate of 120 miles per hour to travel a distance of 77 yards ? ( 1 mile = 1,160 yards )" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if x and y are integers and 2 x – y = 11 , then 4 x + y can not be" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if x and j are integers and 2 x – j = 11 , then 4 x + j can not be" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two whole numbers whose sum is 100 can not be in the ratio" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the perimeter of a square field whose diagonal is 8 â ˆ š 2 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the diagonal of a square field whose perimeter is 64 m ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if the perimeter of a rectangular garden is 1800 m , its length when its breadth is 400 m is ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a batsman in his 12 th innings makes a score of 60 and thereby increases his average by 2 runs . what is his average after the 12 th innings if he had never been ‘ not out ’ ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average age of 25 students in a class is 12 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a batsman scored 80 runs which included 2 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if an average hard drive had a capacity of 0.4 tb in 2000 , and average hard drive capacities double every 5 years , what will be the average hard drive capacity in 2050 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the population of a bacteria colony doubles every day . if it was started 10 days ago with 2 bacteria and each bacteria lives for 12 days , how large is the colony today ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: on a certain date , pat invested $ 5,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 10 years will be $ 20,000 , in how many years total will the total value of the investment plus interest increase to $ 40,000 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a caterer ordered 125 ice - cream bars and 125 sundaes . if the total price was $ 225.00 and the price of each ice - cream bar was $ 0.60 , what was the price of each sundae ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a caterer ordered 225 ice - cream bars and 125 sundaes . if the total price was $ 200.00 and the price of each ice - cream bar was $ 0.60 , what was the price of each sundae ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen . what is the total number of doughnuts purchased if you paid $ 25 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a mixture of 150 liters of wine and water contains 15 % water . how much more water should be added so that water becomes 25 % of the new mixture ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: each of the cucumbers in 100 pounds of cucumbers is composed of 99 % water , by weight . after some of the water evaporates , the cucumbers are now 95 % water by weight . what is the new weight of the cucumbers , in pounds ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how much water should be added to 13 liters of a 20 % - solution of alcohol to reduce the concentration of alcohol in the solution by 75 % ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 5 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a certain pond , 35 fish were caught , tagged , and returned to the pond . a few days later , 35 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what ` s the approximate number of fish in the pond ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 8 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two brother x and y appeared for an exam . the probability of selection of x is 1 / 3 and that of b is 2 / 7 . find the probability that both of them are selected ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a man & his wife appear in an interview for 2 vacancies in the same post . the probability of husband ' s selection is 1 / 7 & the probability of wife ' s selection is 1 / 5 . what is the probability that only 1 of them is selected ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: two brothers ram and ravi appeared for an exam . the probability of selection of ram is 4 / 7 and that of ravi is 1 / 5 . find the probability that both of them are selected ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the area of a circle is increased by 800 % . by what percent has the radius of the circle increased ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the area of a parallelogram with base 10 cm and height 20 cm ." ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if the radius of a circle is increased by 20 % then the area is increased by :" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a motorcyclist goes from bombay to pune , a distance of 128 kms at an average of 32 kmph speed . another man starts from bombay by car 2 ½ hours after the first , and reaches pune ½ hour earlier . what is the ratio of the speed of the motorcycle and the car ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a motorcyclist goes from bombay to pune , a distance of 160 kms at an average of 32 kmph speed . another man starts from bombay by car 2 ½ hours after the first , and reaches pune ½ hour earlier . what is the ratio of the speed of the motorcycle and the car ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a motorcyclist goes from bombay to pune , a distance of 256 kms at an average of 32 kmph speed . another man starts from bombay by car 2 ½ hours after the first , and reaches pune ½ hour earlier . what is the ratio of the speed of the motorcycle and the car ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the sector of a circle has perimeter of 144 cm and central angle 180 o . find its radius ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the sector of a circle has perimeter 83 cm and central angle 225 o . find its radius ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a semicircle has a radius of 10 . what is the approximate perimeter of the semicircle ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: ( 3080 + 6160 ) / 28" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: ( 3220 + 6160 ) / 28" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a shopkeeper has 280 kg of apples . he sells 30 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: an order was placed for the supply of a carpet whose breadth was 6 m and length was 1.44 times the breadth . what be the cost of a carpet whose length and breadth are 40 % more and 25 % more respectively than the first carpet . given that the ratio of carpet is rs . 45 per sq m ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 60 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a store sells chairs and tables . if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables , and the price of 1 table and 1 chair is $ 64 , what is the price , in dollars , of 1 table ? ( assume that every chair has the same price and every table has the same price . )" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the number of diagonals of a polygon of n sides is given by the formula q = n ( n - 3 ) / 2 . if a polygon has twice as many diagonals as sides , how many sides does it have ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the number of diagonals of a polygon of n sides is given by the formula v = n ( n - 3 ) / 2 . if a polygon has twice as many diagonals as sides , how many sides does it have ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a diagonal of a polygon is an segment between two non - adjacent vertices of the polygon . how many diagonals does a regular 20 - sided polygon have ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many positive integers less than 100 are there such that they are multiples of 8 or multiples of 7 but not both ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many positive integers less than 70 have a reminder 01 when divided by 3 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: how many seven - digit numbers that do not contain the digits 2 or 9 are there ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the sum of two numbers is 66 . how much should be added to the sum for it to be exactly divisible by 9 leaving 0 as the reminder ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a number is doubled and 9 is added . if resultant is trebled , it becomes 63 . what is that number" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: on her annual road trip to visit her family in seal beach , california , traci stopped to rest after she traveled 1 ⁄ 3 of the total distance and again after she traveled 1 ⁄ 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 ’ s starting point to seal beach ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: on her annual road trip to visit her family in seal beach , california , traci stopped to rest after she traveled 1 ⁄ 2 of the total distance and again after she traveled 1 ⁄ 4 of the distance remaining between her first stop and her destination . she then drove the remaining 200 miles and arrived safely at her destination . what was the total distance , in miles , from traci ’ s starting point to seal beach ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "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 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: there are 15 balls in a jar . you take out 3 blue balls without putting them back inside , and now the probability of pulling out a blue ball is 1 / 3 . how many blue balls were there in the beginning ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: there are 25 balls in a jar . you take out 5 blue balls without putting them back inside , and now the probability of pulling out a blue ball is 1 / 5 . how many blue balls were there in the beginning ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a bag contains 30 red jellybeans and 30 blue jellybeans . if 3 jellybeans are removed one at a time , at random and are not replaced , what is the probability that all 3 jellybeans removed from the bag are blue ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average marks of a class of 40 students is 44 and that of another class of 45 students is 70 . find the average marks of all the students ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average marks of a class of 35 students is 40 and that of another class of 45 students is 60 . find the average marks of all the students ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average marks obtained by 50 candidates in a certain examination is 40 . find the total marks ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: half a number plus 7 is 17 . what is the number ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average of first five multiples of 7 is :" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 70 is increased by 50 % . find the final number ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if n is a positive integer and n ^ 2 is divisible by 72 , then the largest positive integer v that must divide n is ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if n is a positive integer and n ^ 2 is divisible by 72 , then the largest positive integer w that must divide n is ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the hcf and lcm of two numbers m and n are respectively 6 and 210 . if m + n = 72 , then 1 / m + 1 / n is equal to" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 11 cm ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 10 cm ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the diagonals of a rhombus are 10 cm and 12 cm . find its area ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a man spends 2 / 5 of his salary on house rent , 3 / 10 of his salary on food and 1 / 8 of his salary on conveyance . if he has rs . 1400 left with him , find his expenditure on food and conveyance ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a man spends 2 / 5 of his salary on house rent , 3 / 10 of his salary on food and 1 / 8 of his salary on convenience he has rs . 1400 left with him , find his expenditure on food and conveyance ." ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 11 percent . overall he make a ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: x can finish a work in 25 days . y can finish the same work in 20 days . y worked for 12 days and left the job . how many days does x alone need to finish the remaining work ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a student committee on academic integrity has 132 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a certain business school class , p students are accounting majors , q students are finance majors , r students are marketing majors , and s students are strategy majors . if pqrs = 1365 , and if 1 < p < q < r < s , how many students in the class are strategy majors ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a store sells chairs and tables . if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables , and the price of 1 table and 1 chair is $ 72 , what is the price , in dollars , of 1 table ? ( assume that every chair has the same price and every table has the same price . )" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if a and b are the roots of the equation x 2 - 9 x + 9 = 0 , then the value of a 2 + b 2 is :" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a store sells chairs and tables . if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables , and the price of 1 table and 1 chair is $ 64 , what is the price , in dollars , of 1 table ? ( assume that every chair has the same price and every table has the same price . )" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a group of 100 cars , 47 cars do not have air conditioning . if at least 53 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a group of 100 cars , 49 cars do not have air conditioning . if at least 51 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a group of 100 cars , 47 cars do not have air conditioning . if at least 55 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ." ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ." ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a room 5 m 55 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 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a towel , when bleached , was found to have lost 20 % of its length and 10 % of its breadth . the percentage of decrease in area is" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the length of a rectangle is reduced by 22 % . by what % would the width have to be increased to maintain the original area ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a number is increased by 20 % and then decreased by 20 % . find the net increase or decrease per cent ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 40 persons like apple . 7 like orange and mango dislike apple . 10 like mango and apple and dislike orange . 3 like all . how many people like apple ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if 1 + 3 = 10 ; 3 + 5 = 52 ; 5 + 7 = 174 then 7 + 11 = ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a fruit seller had some apples . he sells 50 % apples and still he has 5000 . originally he had how many apples ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: an association of mathematics teachers has 1,260 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 65 percent of the votes cast ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: an association of mathematics teachers has 1,260 members . only 560 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a recent election , geoff received 0.5 percent of the 6,000 votes cast . to win the election , a candidate needed to receive more than x % of the vote . if geoff needed exactly 3,571 more votes to win the election , what is the value of x ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the greatest number which on dividing 6215 and 7373 , leaves a reminder of 23 and 29 respectively" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 31 !" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "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 ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a club wants to mix 25 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound . how many pounds of the $ 5.00 per pound candy should be used ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a cement mixture is composed of 3 elements . by weight , 1 / 2 of the mixture is sand , 1 / 5 of the mixture is water , and the remaining 15 pounds of the mixture is gravel . what is the weight of the entire mixture in pounds ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 25 % lemonade syrup ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: one - third of 1206 is what percent of 162 ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 265.124 x 11.98 ã · 8.001 + 32.28 = ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what percent is 6 gm of 1 kg ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if two painters can complete two rooms in two hours , how many hours 10 painters would it take to do 20 rooms ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "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 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: when working alone , painter w can paint a room in 2 hours , and working alone , painter x can paint the same room in z hours . when the two painters work together and independently , they can paint the room in 3 / 4 of an hour . what is the value of z ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: divide rs . 5500 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 1 / 5 as a and c together . a ' s share is ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: divide rs . 1700 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 11 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in what time will a train 175 m long cross an electric pole , it its speed be 180 km / hr ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a train 200 m long can cross an electric pole in 20 sec and then find the speed of the train ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in what time will a train 240 metres long cross an electric pole , if its speed be 126 km / hr ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 182 cms . what was the ratio of men to women ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 184 cms . what was the ratio a of men to women ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: in a class , there are 18 boys who are over 160 cm tall . if these constitute 3 - fourths of the boys and the total number of boys is two - thirds of the total number of students in the class , what is the number of girls in the class ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: the average of 10 numbers is 0 . in those 10 , at the least , how many may be greater than or equal to zero ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: what is the least integer greater than 0 + 0.5 ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: calculate the average of all the numbers between 10 and 86 which are divisible by 9 ." ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the value of 72515 x 9999 = m ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: find the value of 72517 x 9999 = m ?" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: if ( 2 ^ 16 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ?" ] ]
99
[ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: a man swims downstream 40 km and upstream 16 km taking 4 hours each time , what is the speed of the man in still water ?" ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 :" ] ]
[ [ "Represent the example for the following task: The task is to generate the correct answer for a given math problem.:", "Problem: 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 ?" ] ]
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