niryuu/sni-each-converted huggingface dataset:
Problem: tom opened a shop investing rs . 3000 . jose joined him 2 months later , investing rs . 4500 . they earned a profit of rs . 5400 after completion of one year . what will be jose ' s share of profit ?
Output: 3000
Problem: if the selling price of 60 articles is equal to the cost price of 30 articles , then the loss or gain percent is :
Output: 50
Problem: there are 5 fictions and 6 non - fictions . how many cases are there such that 2 fictions and 2 non - fictions are selected from them ?
Output: 150
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 = 1,155 , and if 1 < p < q < r < s , how many students in the class are accounting majors ?
Output: 3
Problem: the area of a triangle is with base 4 m and height 6 m ?
Output: 12 m
Problem: if 40 sheep eat 40 bags of grass in 40 days . in how many days one sheep will eat one bag of grass ?
Output: 40
Problem: increasing the original price of an article by 20 percent and then increasing the new price by 20 percent is equivalent to increasing the original price by
Output: 44
Problem: the age of somu is one - third his father ' s . 6 years back he was one - fifth of his father ' s age . what is his persent age ?
Output: 12
Problem: john builds a square with a side of 12 cm from some wire . if from the same wire , he builds a rectangle with a width of 6 cm , what will be the length of the rectangle ?
Output: 18 cm', 'b ) 19 cm', 'c ) 20 cm', 'd ) 21 cm', 'e ) none'
Problem: a train 560 m long , running with a speed of 63 km / hr will pass a tree in ?
Output: 3
Problem: the banker â € ™ s gain on a sum due 3 years hence at 12 % per annum is rs . 180 . the banker â € ™ s discount is
Output: rs . 680
Problem: 12 . what is the dividend . divisor 17 , the quotient is 9 and the remainder is 10 .
Output: 163
Problem: a lady builds 8 cm length , 15 cm width , and 5 cm height box using 10 cubic cm cubes . what is the minimum number of cubes required to build the box ?
Output: 60
Problem: a furniture dealer purchased a desk for $ 100 and then set the selling price equal to the purchase price plus a markup that was 40 % of the selling price . if the dealer sold the desk at the selling price , what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?
Output: 40 %
Problem: there 3 kinds of books in the library physics , chemistry and biology . ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3 , and the total of the books is more than 3000 . which one of following can be the total w of the book ?
Output: 3003
Problem: the diameter of the driving wheel of a bus in 140 cm . how many revolutions per minute must the wheel make in order to keep a speed of 33 kmph ?
Output: 125
Problem: the population of a bacteria colony doubles every day . if it was started 8 days ago with 2 bacteria and each bacteria lives for 12 days , how large is the colony today ?
Output: 512
Problem: how many quarters are equal to 7 dollars ?
Output: 28
Problem: what is 0.1 percent of 12,356 ?
Output: 12.356
Problem: the difference between the value of a number increased by 25 % and the value of the original number decreased by 30 % is 22 . what is the original number ?
Output: 40
Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 33 , find the value of ab .
Output: 12
Problem: 1 : 3 = 1 2 / 3 : x . the value of x is ?
Output: 5
Problem: how many figures are required to number the pages the pages of a book containing 709 pages ?
Output: 2019
Problem: a cone of height 9 cm with diameter of its base 18 cm is carved out from a wooden solid sphere of radius 9 cm . the percentage of the wood wasted is :
Output: 75 %', 'e ) none of these'
Problem: of the votes cast on a certain proposal , 66 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . )
Output: 330
Problem: a can finish a work in 72 days , b in 9 days and c in 2 days , b and c start the work but are forced to leave after 3 days . the remaining work was done by a in ?
Output: 30 days
Problem: the average earning of amechanic for the first 4 days of a week is rs . 25 and for the last 4 days is rs . 22 . if heearns rs . 20 on the fourth day , his average earning forthe whole week is ?
Output: s . 24
Problem: a sum of money deposited at c . i . amounts to rs . 2420 in 2 years and to rs . 3025 in 3 years . find the rate percent ?
Output: 25
Problem: 9 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?
Output: 11
Problem: a building contractor employs 20 male , 15 female and 5 child workers . to a male worker he pays rs . 25 per day , to a female worker rs . 20 per day and a child worker rs . 8 per day . the average wage per day paid by the contractor is ?
Output: 21
Problem: what is the remainder when 3 ^ 33 is divided by 5 ?
Output: 3
Problem: find ( 7 x + 2 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ?
Output: 23
Problem: john left home and drove at the rate of 45 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 45 mph to reach his destination . how many miles did john drive ?
Output: 225 miles .
Problem: a statue is being carved by a sculptor . the original piece of marble weighed 190 kg . in the first week 25 percent is cut away . in the second week 15 percent of the remainder is cut away . in the third week the statue is completed when 10 percent of the remainder is cut away . what is the weight of the final statue ?
Output: 109 kg
Problem: the population of a town increased from 1 , 75,000 to 2 , 97,500 in a decade . the average percent increase of population per year is
Output: 7
Problem: in an exam , gibi scored 59 percent , jigi scored 55 percent , mike scored 99 percent and lizzy 67 percent . the maximum score awarded in the exam is 700 . find the average mark scored by all the 4 students ?
Output: 490
Problem: in how many no . between 10 and 50 exactly two of the digits is 5 ?
Output: 1
Problem: john and david work at a hospital with 8 other workers . for an internal review , 2 of the 8 workers will be randomly chosen to be interviewed . what is the probability that john and david will both be chosen ?
Output: 1 / 28
Problem: by selling 8 pens for a rupee a woman loses 25 % . how many for a rupee should he sell in order to gain 25 % ?
Output: 5
Problem: 3.20 can be expressed in terms of percentage as
Output: 320.00 %
Problem: a person was asked to subtract 25 % of a number from the original but he subtracted 25 from the number . his answer was 25 more than correct one . what was the original number ?
Output: 200
Problem: if x : y is 1 : 5 and y : z is 5 : 7 then x : z is equal to
Output: 1 : 7
Problem: divide $ 1000 among a , b in the ratio 1 : 3 . how many $ that a get ?
Output: $ 250
Problem: maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 72 kilometers , maxwell ' s walking speed is 6 km / h , and brad ' s running speed is 12 km / h . what is the distance traveled by maxwell when they meet in the middle ?
Output: 24
Problem: carolyn bought 17 gumballs , lew bought 12 gumballs , and carey bought x gumballs . the average ( arithmetic mean ) number of gumballs the 3 bought is between 19 and 25 , inclusive . what is the difference between the greatest number and the smallest number of gumballs carey could have bought ?
Output: 18
Problem: a train 250 m long passed a pole in 10 sec . how long will it take to pass a platform 1250 m long ?
Output: 60 sec
Problem: one ball will drop from a certain height . the height it will reach after rebounding from the floor is 50 percent of the previous height . the total travel is 225 cm when it touches the floor on third time . what is the value of the original height ?
Output: 90 cm
Problem: a man fell in a 30 meter deep well , in one day he climbs 4 meters up and slips 3 meters down . how many days would it take for him to come out of the well ?
Output: 27
Problem: if a mixture is 2 ⁄ 7 alcohol by volume and 3 ⁄ 7 water by volume , what is the ratio of the volume of alcohol to the volume of water in this mixture ?
Output: 2 / 3
Problem: 20 percent of country y ' s yearly exports come from fruit exports . one - sixth of all fruit exports from country y are orange exports . if country y generates $ 4.25 million from its orange exports , how much money does it generate from its yearly total of exports ?
Output: $ 127.5 m
Problem: what is the value of n if the sum of the consecutive odd intergers w from 1 to n equals 169 ?
Output: 25
Problem: indu gave bindu rs . 7500 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?
Output: 1
Problem: evaluate : 7899665 - 12 * 3 * 2 = ?
Output: 7899657
Problem: a can do a half of certain work in 70 days and b one third of the same in 35 days . they together will do the whole work in ?
Output: 1 / 60
Problem: if 9 / ( 1 + 4 / x ) = 1 , then x =
Output: 1 / 2
Problem: what is the prime factors ’ number of 12 ?
Output: 3
Problem: in 2 bags , there are to be put together 5 red and 12 white balls , neither bag being empty . how must the balls be divided so as to give a person who draws 1 ball from either bag - the least chance of drawing a red ball ?
Output: 5 / 3
Problem: what is the sum of the odd integers from 55 to 75 , inclusive ?
Output: 71
Problem: in the first m games of a team ' s season , the ratio of the team ' s wins to its losses was 1 : 2 . in the subsequent n games , the ratio of the team ´ s wins to losses was 2 : 3 . if m : n = 4 : 5 , what was the ratio of the team ' s wins to its losses for all m + n games ?
Output: 10 : 17
Problem: for all even integers n , h ( n ) is defined to be the sum of the even integers between 2 and n , inclusive . what is the value of h ( 20 ) / h ( 10 ) ?
Problem: a shopkeeper sold an article at $ 1170 and gained a 20 % profit . what was the cost price ?
Output: $ 975
Problem: how many positive integers less than 70 have a reminder 01 when divided by 3 ?
Output: 24
Problem: an automobile parts supplier charges $ 25 per package of gaskets . when a customer orders more than 10 packages of gaskets , the supplier charges 4 / 5 the price for each package in excess of 10 . during a certain week , the supplier sold 60 packages of gaskets . if 15 percent of the gaskets went to company x , 15 percent to company y , and the rest to company z , what was the total amount , in dollars , that the parts supplier received in payment for the gaskets ?
Output: 1340
Problem: suresh started a business , investing rs . 18000 . after 3 months and 4 months respectively , rohan and sudhir joined him with capitals of 12000 and 9000 . at the end of the year the total profit was rs . 3982 . what is the difference between rohan ’ s and sudhir ’ s share in the profit ?
Output: rs . 362
Problem: how many words , with or without meaning , can be formed using all letters of the word orange using each letter exactly once ?
Output: 720
Problem: if p is the product of the integers from 1 to 32 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of p ?
Output: 14
Problem: two kinds of vodka are mixed in the ratio 1 : 5 and 5 : 1 and they are sold fetching the profit 10 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of
Output: 21 % 18 %
Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 360 kilograms of pears that day , how many kilograms did he sell in the morning and how many in the afternoon ?
Output: 240
Problem: the average of the marks of 25 students in a class is 70 . if the marks of each student are doubled , find the new average ?
Output: 140
Problem: a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late . had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late . what is the speed w of the train .
Output: c ) 48
Problem: amit and ananthu can do a work in 10 days and 20 days respectively . amit started the work and left after 2 days . ananthu took over and completed the work . in how many days was the total work completed ?
Output: 18 days
Problem: there are two positive numbers in the ratio 4 : 8 . if the larger number exceeds the smaller by 16 , then find the smaller number ?
Output: 20
Problem: cheese , bologna , and peanut butter sandwiches were made for a picnic in a ratio of 1 to 7 to 8 . if a total of 80 sandwiches were made , how many bologna sandwiches were made ?
Output: 35
Problem: for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 110 units raises the average to 55 units per day , what is the value of n ?
Output: 11
Problem: a train is 360 meter long is running at a speed of 50 km / hour . in what time will it pass a bridge of 140 meter length ?
Output: 36
Problem: the population of locusts in a certain swarm doubles every two hours . if 4 hours ago there were 1,000 locusts in the swarm , in approximately how many hours will the swarm population exceed 128,000 locusts ?
Output: 10
Problem: the cash difference between the selling prices of an book at a profit of 12 % and 20 % is $ 3 . the ratio of the two selling prices is :
Output: 14 : 1
Problem: mixture contains alcohol and water in the ratio 4 : 3 . if 5 liters of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture .
Output: 10
Problem: a train 310 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 140 m long ?
Output: 36
Problem: a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 6,500 meters of fabric ?
Output: $ 12,430
Problem: two pipes a and b can fill a tank in 36 hours and 46 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ?
Output: 20.195 hrs
Problem: a grocer has a sale of rs . 5435 , rs . 5927 , rs . 5855 , rs . 6230 and rs . 5562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5500 ?
Output: 3991
Problem: find the result of equation of the ellipse whose foci are at ( 0 , - 5 ) and ( 0 , 5 ) and the length of its major axis is 14 .
Problem: if p represents the product of the first 16 positive integers , then p is not a multiple of
Output: 5
Problem: if 12 machine can finish a job in 40 days , then how many more machines would be needed to finish the job in one - fourth less time ?
Output: a . 4
Problem: following an increase in prices , the price of a candy box was 20 pounds and the price of a can of soda was 6 pounds . if the price of a candy box was raised by 25 % , and the price of a can of soda was raised by 50 % . what was the price of a box of candy plus a can of soda before prices were raised ?
Output: 20 .
Problem: a rectangular farm has to be fenced one long side , one short side and the diagonal . if the cost of fencing is rs . 14 per meter . the area of farm is 1200 m 2 and the short side is 30 m long . how much would the job cost ?
Output: 1680
Problem: . a car covers a distance of 810 km in 5 hours . find its speed ?
Output: 162
Problem: the compounded ratio of ( 2 : 3 ) , ( 6 : 11 ) and ( 11 : 2 ) is
Output: 2 : 1
Problem: in a photography exhibition , some photographs were taken by octavia the photographer , and some photographs were framed by jack the framer . jack had framed 24 photographs taken by octavia , and 12 photographs taken by other photographers . if 36 of the photographs in the exhibition were taken by octavia , how many photographs were either framed by jack or taken by octavia ?
Output: 48
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 ?
Output: 40 sec
Problem: what is value of ( p + q ) / ( p - q ) if p / q = 7 ?
Output: 4 / 3
Problem: find the area of a cuboid of length 8 cm , breadth 6 cm . and height 9 cm .
Output: 432 cm cube
Problem: if | 5 x - 20 | = 100 , then find the sum of the values of x ?
Output: 8
Problem: a windmill is taking advantage of strong air currents in order to produce electrical energy . on a typical day the wind speed is around 20 mph and in that speed the windmill produces 400 kw / h ( kilowatts per hour ) . on a stormy day a windmill produces 20 % more energy . how much kw / h can 3 windmills produce in two hours on a stormy day ?
Output: 2880 .
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 ?
Output: 3
Problem: arjun started a business with rs . 20,000 and is joined afterwards by anoop with rs . 30 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ?
Output: 4
Problem: the points a ( 0 , 0 ) , b ( 0 , 4 a - 5 ) and c ( 2 a + 1 , 2 a + 5 ) form a triangle . if angle abc = 90 , what is the area of triangle abc ?
Output: 82.5
Problem: ramesh purchased a refrigerator for rs . 12500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 18 % if no discount was offered ?
Output: 1888
Problem: a hall is 15 meters long and 15 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ?
Output: 1687.5
Problem: what is the total surface area in square meters of a rectangular solid whose length is 9 meters , width is 8 meters , and depth is 5 meters ?
Output: 314 m
Problem: how many multiples of 7 are there between 10 and 100 ( both are inclusive ) ?
Output: 13
Problem: a car traveling at a certain constant speed takes 4 seconds longer to travel 1 km than it would take to travel 1 km at 80 km / hour . at what speed , in km / hr , is the car traveling ?
Output: 74
Problem: a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 12500 after a year ?
Output: 3750
Problem: two numbers are in the ratio of 2 : 3 . if 20 be subtracted from each , they are in the ratio of 10 : 17 . find the numbers ?
Output: 70,105
Problem: a student needs 30 % of the marks on a test to pass the test . if the student gets 80 marks and fails the test by 100 marks , find the maximum marks set for the test .
Output: 600
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 8 hours a day ?
Output: 36
Problem: if x and j are integers and 2 x – j = 11 , then 4 x + j can not be
Output: 17
Problem: 15.06 * 0.001 = ?
Output: 0.01506
Problem: a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 48 inches . find b .
Output: 16
Problem: an investment yields an interest payment of $ 228 each month . if the simple annual interest rate is 9 % , what is the amount of the investment ?
Output: $ 30,400
Problem: on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 24 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ?
Output: 13.2 %
Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 45 . he was allowed to drop his lowest score . after doing so , his average test score improved to 50 . what is the lowest test score that was dropped ?
Output: 30
Problem: if y > 0 , ( 4 y ) / 20 + ( 3 y ) / 10 is what percent of y ?
Output: 50 %
Problem: in how many years rs 100 will produce the same interest at 5 % as rs . 600 produce in 4 years at 10 %
Output: 4
Problem: in the number 10,0 ab , a and b represent the tens and units digits , respectively . if 11,0 ab is divisible by 55 , what is the greatest possible value of b × a ?
Output: 15
Problem: a clock shows the time as 7 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 6 p . m . ?
Output: 55 minutes
Problem: if mn ≠ 0 and 25 percent of n equals 37 1 / 2 percent of m , what is the value of 12 n / m ?
Output: 18
Problem: if the cost price of 18 articles is equal to the selling price of 16 articles , what is the percentage of profit or loss that the merchant makes ?
Output: 12.5 % profit
Problem: the average age of 15 students of a class is 16 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years . tee age of the 15 th student is ?
Output: 26 years
Problem: if the length of an edge of cube p is thrice the length of an edge of cube q , what is the ratio of the volume of cube q to the volume of cube p ?
Output: 1 / 27', 'e ) 1 / 9'
Problem: si on a certain sum of money for 3 yrs at 8 percent / annum is 1 / 2 the ci on rs . 4000 for 2 yrs at 10 percent / annum . the sum placed on si is ?
Output: rs . 1750
Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 22 white marbles . how many red marbles could be in bag a ?
Output: 2
Problem: what is the sum of the first 23 natural numbers ( starting from 1 ) ?
Output: 276
Problem: in a garden , 26 trees are planted at equal distances along a yard 700 metres long , one tree being at each end of the yard . what is the distance between two consecutive trees ?
Output: 28
Problem: a , b and c started a business with a total investment of rs . 72000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find b ' s share .
Output: rs . 2520
Problem: what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 20 % ?
Output: 44 %
Problem: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively . a third pipe c can drain off 45 liters of water per minute . if all the pipes are opened , the tank can be filled in 15 minutes . what is the capacity of the tank ?
Output: 540
Problem: what is the diagonal of a square field whose perimeter is 64 m ?
Output: 16 √ 2 m
Problem: the difference between simple interest and compound interest on rs . 1400 for one year at 20 % per annum reckoned half - yearly is :
Output: $ 989.9
Problem: a semicircular shaped window has diameter of 63 cm . its perimeter equals
Output: 162', 'b ) 766', 'c ) 298', 'd ) 277', 'e ) 198'
Problem: by selling 100 pens , a trader gains the cost of 30 pens . find his gain percentage ?
Output: 30 %
Problem: out of 3 consecutive odd numbers 11 times the first number is equal to addition of thrice the third number and adding 16 to 4 times the second . what is the first number ?
Problem: working together at their respective constant rates , machine a and machine b can produce 1600 units in 8 hours . working alone , machine b would complete that same output in 50 % more time . if machine a were to work on its own for an 8 - hour shift , what percent of the 1600 unit total would it produce ?
Output: 33
Problem: according to the formula f = 9 / 5 ( c ) + 32 , if the temperature in degrees farenheit ( f ) increases by 26 , by how much does the temperature in degrees celsius ( c ) increase ?
Output: 14.44
Problem: if price of t . v set is reduced by 20 % , then its sale increases by 80 % , find net effect on sale value
Output: 44
Problem: 9 . on level farmland , two runners leave at the same time from the intersection of two country roads . one runner jogs due north at a constant rate of 8 miles per hour while the second runner jogs due east at a constant rate that is 8 miles per hour faster than the first runner ' s rate . how far apart , to the nearest mile , will they be after 1 / 2 hour ?
Problem: the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average of the team ?
Output: 23
Problem: tom and marry each have a bag of marbles , each of which contains 4 red marbles , 10 blue marbles , and 6 yellow marbles . if tom and marry each select one marble from their respective bags , what is the probability that either tom or marry select a blue marble ?
Output: 3 / 4
Problem: if 7 cats can kill 7 rats in 7 minutes , how long will it take 100 cats to kill 100 rats ?
Output: 7 minutes
Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 20.95 . what is the greatest number of hot dogs you can buy at this store with $ 300 ?
Output: 3,540
Problem: a person spends 1 / 3 rd of the money with him on clothes , 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel . now , he is left with rs 200 . how much did he have with him in the beginning ?
Output: s 500
Problem: the shopkeeper increased the price of a product by 25 % so that customer finds it difficult to purchase the required amount . but somehow the customer managed to purchase only 76 % of the required amount . what is the net difference in the expenditure on that product ?
Output: 5 %
Problem: if a number n is chosen at random from the set of two - digit integers whose digits are both prime numbers , what is the probability r that n is divisible by 3 ?
Output: 5 / 16
Problem: 0 - - - : - | - - - : - - | - : - - : - | - - : - - - | - : - - - - 1 on the number line above , the segment from 0 to 1 has been divided into fifths , as indicated by the large tick marks , and also into sevenths , as indicated by the small tick marks . what is the least possible distance x between any two of the tick marks ?
Output: 1 / 35
Problem: find the area of a parallelogram with base 21 cm and height 11 cm ?
Output: 231 cm 2
Problem: a cycle is bought for rs . 1120 and sold for rs . 1200 , find the gain percent ?
Output: 7 %
Problem: a trader bought a car at 20 % discount on its original price . he sold it at a 70 % increase on the price he bought it . what percent of profit did he make on the original price ?
Output: 36
Problem: a boat having a length 9 m and breadth 3 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :
Output: 270 k
Problem: what annual payment will discharge a debt of rs . 1030 due in 2 years at the rate of 5 % compound interest ?
Output: 553.94
Problem: in a factory , there are 90 % technicians and 10 % non - technicians . if the 90 % of the technicians and 10 % of non - technicians are permanent employees , then the percentage of workers who are temporary is ?
Output: 82 %
Problem: how many seconds will a 450 metre long train take to cross a man running with a speed of 6 km / hr in the direction of the moving train if the speed of the train is 60 km / hr ?
Output: 30
Problem: of the total amount that jill spent on a shopping trip , excluding taxes , she spent 60 percent on clothing , 20 percent on food , and 20 percent on other items . if jill paid a 10 percent tax on the clothing , no tax on the food , and an 10 percent tax on all other items , then the total tax that she paid was what percent of the total amount that she spent , excluding taxes ?
Output: 10
Problem: 90 kg of an alloy a is mixed with 140 kg of alloy b . if alloy a has lead and tin in the ratio 3 : 4 and alloy b has tin and copper in the ratio 2 : 5 , then the amount of tin in the new alloy is ?
Output: 91.4 kg
Problem: a rectangular garden is to be twice as long as it is wide . if 180 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ?
Output: 60
Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.3 for x = 0.6 ?
Output: 0.3
Problem: three pipes , a , b , & c are attached to a tank . a & b can fill it in 20 & 30 minutes respectively while c can empty it in 20 minutes . if a , b & c are kept open successively for 1.5 minute each , how soon will the tank be filled ?
Output: 2 hours 15 min
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 ?
Output: 60
Problem: if the sides of a cube are in the ratio 9 : 7 . what is the ratio of their diagonals ?
Output: 9 : 7
Problem: last year elaine spent 20 % of her annual earnings on rent . this year she earned 20 % more than last year and she spent 30 % of her annual earnings on rent . the amount she spent on rent this year is what percent of the amount spent on rent last year ?
Output: 180.0
Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets $ 500 more than d , what is c ' s share ?
Output: $ 2000
Problem: two bullet train s 140 m and 200 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time ( in seconds ) which they take to cross each other , is :
Output: 12.24 sec .
Problem: in 1950 , richard was 4 times as old as robert . in 1955 , richard was 3 times as old as robert . in which year was richard 1.5 times as old as robert ?
Output: 200
Problem: the population of a bacteria culture doubles every 2 minutes . approximately how many minutes will it take for the population to grow from 1,000 to 300,000 bacteria
Output: 16
Problem: in what ratio must tea at rs . 60 per kg be mixed with tea at rs . 70 per kg so that the mixture must be worth rs . 67.5 per kg ?
Output: 1 : 3
Problem: in what time will a train 50 m long cross an electric pole , it its speed be 360 km / hr ?
Output: 0.5
Problem: each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.74 % , what fraction of the products was checked by worker y ?
Output: 4 /
Problem: a sum of 11,500 amounts to 13,500 in 5 years at the rate of simple interest . what is the rate of interest ?
Output: 3 %
Problem: workers at a campaign office have 2000 fliers to send out . if they send out 1 / 4 of them in the morning and 1 / 5 of the remaining ones out during the afternoon , how many are left for the next day ?
Output: 118
Problem: abcd is a square where ab = â ˆ š 4032 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd .
Output: 2016', 'e ) 3000'
Problem: if n = ( 33 ) ^ 40 + ( 43 ) ^ 33 what is the units digit of n ?
Output: 1
Problem: a circular ground whose diameter is 35 metres , has a 1.4 metre - broad garden around it . what is the area of the garden in square metres ?
Output: 160.16
Problem: a sports equipment store sold ping pong rackets for a total of $ 637 . if the average ( arithmetic mean ) price of a pair of rackets is $ 9.8 , how many pairs were sold ?
Output: 65
Problem: a farmer has enough food to feed her 1000 cows for 50 days . after 10 days some of the cows run away and the food was now enough for the same period of 50 days as before . how many cows ran away ?
Output: 200
Problem: a certain number of men can do a work in 60 days . if there were 8 men less it could be finished in 10 days more . how many men are there ?
Output: 56
Problem: if - 3 x + 4 y = 28 and 3 x - 2 y = 8 , what is the product of x and y ?
Output: 264 .
Problem: a rectangle having length 89 cm and width 34 cm . if the length of the rectangle is increased by eighty percent then how much percent the breadth should be decreased so as to maintain the same area .
Output: 47.33 %
Problem: two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 25 hours and 81 hours respectively . the ratio of their speeds is :
Output: 9 : 5
Problem: a train 100 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train . find the speed of the train ?
Output: 55 kmph
Problem: evaluate : 96385 + 12 * 3 * 25 = ?
Output: 96485
Problem: how many positive integers less than 100 have a remainder of 3 when divided by 13 ?
Problem: if y > 0 , ( 9 y ) / 20 + ( 3 y ) / 10 is what percent of y ?
Output: 75
Problem: all the students of class are told to sit in circle shape . here the boy at the 5 th position is exactly opposite to 20 th boy . total number of boys in the class ?
Output: 30
Problem: a boy swims downstream 56 km and upstream 42 km taking 7 hours each time ; what is the speed of the current ?
Problem: an equal number of desks and bookcases are to be placed along a library wall that is 15 meters long . each desk is 2 meters long , and each bookshelf is 1.5 meters long . if the maximum possible number of desks and bookcases are to be placed along the wall , then the space along the wall that is left over will be how many meters f long ?
Output: 1
Problem: a meeting has to be conducted with 5 managers . find the number of ways in which the managers may be selected from among 9 managers , if 3 managers will not attend the meeting together .
Output: 1.24
Problem: for every even positive integer m , f ( m ) represents the product of all even integers from 2 to m , inclusive . for example , f ( 12 ) = 2 x 4 x 6 x 8 x 10 x 12 . what is the greatest prime factor of f ( 24 ) ?
Output: 1
Problem: an employee ’ s annual salary was increased $ 5,000 . if her new annual salary now equals $ 70,000 , what was the percent increase ?
Output: 0.77 %
Problem: how many two - digit whole numbers yield a remainder of 1 when divided by 20 and also yield a remainder of 1 when divided by 5 ?
Output: fou
Problem: j is faster than p . j and p each walk 24 km . sum ofthe speeds of j and p is 7 kmph . sum of time taken by them is 14 hours . then j speed is equal to ?
Output: 4
Problem: a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 80 percent of books that were loaned out are returned and there are 66 books in the special collection at that time , how many books of the special collection were loaned out during that month ?
Output: 45
Problem: 50 men took a dip in a water tank 30 m long and 20 m broad on a religious day . if the average displacement of water by a man is 4 m 3 , then the rise in the water level in the tank will be :
Output: 33.3 cm
Problem: find the simple interest on rs . 70,000 at 16 2 / 3 % per year for 9 months .
Output: 8750
Problem: a is twice as good a workman as b and they took 6 days together to do the work b alone can do it in .
Output: 18 days
Problem: donovan and michael are racing around a circular 400 - meter track . if donovan runs each lap in 45 seconds and michael runs each lap in 36 seconds , how many laps will michael have to complete in order to pass donovan , assuming they start at the same time ?
Output: 5
Problem: if 3 people can do 3 times of a particular work in 3 days , then how many days would it take 9 people to do 9 times of that particular work ?
Output: 3
Problem: a and b can do a work in 5 days and 10 days respectively . a starts the work and b joins him after 2 days . in how many days can they complete the remaining work ?
Output: 2
Problem: the average age of students of a class is 15.8 years . the average age of boys in the class is 16.5 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is :
Output: 4 :
Problem: before 6 years , dog a ’ s age was 4 times of dog b ’ s age and after 4 years , dog a ’ s age will be 3 times of dog b ’ s age . what is the difference of dog a ’ s age and dog b ’ s now ?
Output: 6
Problem: 4 wolves , wolverine , man - hunter , blue - wolf , and jasmine , caught rabbits for their evening meal . if man - hunter caught 3 more rabbits than blue - wolf did , jasmine caught 3 less than wolverine did , and wolverine caught 1 more than man - hunter did , how many more fewer rabbits did blue - wolf catch than jasmine ?
Output: -
Problem: a bullet train 160 m long is running with a speed of 70 kmph . in what time will it pass a man who is running at 8 kmph in the direction opposite to that in which the bullet train is going ?
Output: 7.38 sec
Problem: what is the remainder when 103 * 505 * 607 is divided by 9
Problem: a man can do a job in 5 days . his father takes 20 days and his son finishes it in 25 days . how long will they take to complete the job if they all work together ?
Output: 3.5
Problem: what is the value of 3 x ^ 2 − 1.8 x + 0.3 for x = 0.9 ?
Output: 1.11
Problem: bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 26 white marbles . how many red marbles could be in bag a ?
Output: 2
Problem: a restaurant spends one quarter of its monthly budget for rent and two thrid of the rest for food and beverages . what percentage of the budget does the restaurant spend for food and beverages ?
Output: 50 %
Problem: in a kilometer race , a beats b by 52 meters or 18 seconds . what time does a take to complete the race ?
Output: 328 sec
Problem: what is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular octagon ?
Output: 2 / 5
Problem: a towel , when bleached , lost 30 % of its length and 25 % of its breadth . what is the percentage decrease in area ?
Output: 47.5
Problem: two women can do a work in 4 days . six men can complete the same work in 3 days . what is the ratio between the capacity of a man and a woman ?
Output: 4 : 9
Problem: 10 x 0.5 = ?
Problem: what is the remainder when 54617 ^ ( 42788234 ) is divided by 5 ?
Problem: a cube of side two meter length is cut into small cubes of side 10 cm each . how many such small cubes can be obtained ?
Output: 8000
Problem: how many numbers between 200 and 600 are divisible by 4 , 5 and 6 ?
Output: 6
Problem: a train 270 metres long is moving at a speed of 25 kmph . it will cross a man coming from the opposite direction at a speed of 2 km per hour in :
Output: 36 sec
Problem: speed of a boat in standing water is 14 kmph and the speed of the stream is 1.2 kmph . a man rows to a place at a distance of 4864 km and comes back to the starting point . the total time taken by him is :
Output: 700
Problem: you enter a weight loss challenge game and manage to lose 13 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?
Output: 11.26 %
Problem: i bought two books ; for rs . 500 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?
Output: 291.6
Problem: 252 ã · ? ã — 15 + 270 = 405
Output: 28
Problem: a and b put in rs . 300 and rs . 400 respectively into a business . a reinvests into the business his share of the first year ' s profit of rs . 196 where as b does not . in what ratio should they divide the second year ' s profit ?
Output: 24 : 25
Problem: in a group of ducks and cows , the total number of legs are 40 more than twice the number of heads . find the total number of cows .
Output: 2
Problem: a student chose a number , multiplied it by 2 , then subtracted 138 from the result and got 102 . what was the number he chose ?
Output: 120
Problem: the product of two successive numbers is 4160 . which is the smaller of the two numbers ?
Output: 64
Problem: soymilk are sold in packages of two or 3 only . if hannah bought 17 soymilk exactly , what could be the number of large packs hannah bought ?
Output: 3
Problem: what ratio must a shopkeeper mix peas and soybean of rs . 16 and rs . 25 / kg , as to obtain a mixture of rs . 21.50 ?
Output: 7 : 11
Problem: a 300 meter long train crosses a platform in 33 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?
Output: 250
Problem: bucket p has thrice the capacity as bucket q . it takes 60 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p and q , having each turn together to fill the empty drum ?
Output: 45
Problem: mr . loyd wants to fence his square shaped land of 120 sqft each side . if a pole is laid every 10 ft how many poles do he need ?
Output: 48
Problem: if 4 / ( 1 + 3 / x ) = 1 , then x =
Output: 1
Problem: a 16 % stock yielding 10 % is quoted at :
Output: 16
Problem: there are , in a certain league , 20 teams , and each team face another team for a total of 10 times . how many games are played in the season ?
Output: 1900
Problem: if integer k is equal to the sum of all even multiples of 15 between 390 and 615 , what is the greatest prime factor of k ?
Output: 8
Problem: if x and y are positive integers and 3 + x + y + xy = 17 , what is the value of x + y ?
Output: 6
Problem: a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 30 paisa . if the share of y is rs . 54 , what is the total amount ?
Output: 21
Problem: the expenditure of a businessman increase consistently by 10 % per year . if his present expenditure is rs . 20000 then what will his expenditure be after 2 years ?
Output: 24200
Problem: farm tax is levied on the 25 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . william . mr . william paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is :
Output: 50 %
Problem: a textile manufacturing firm employees 100 looms . it makes fabrics for a branded company . the aggregate sales value of the output of the 100 looms is rs 5 , 00,000 and the monthly manufacturing expenses is rs 1 , 50,000 . assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms . monthly establishment charges are rs 75000 . if one loom breaks down and remains idle for one month , the decrease in profit is :
Output: 3500
Problem: it is the new year and mandy has made a resolution to lose weight this year . she plans to exercise and do yoga . for exercise she plans to workout at the gym and ride her bicycle in the ratio of 2 : 3 everyday . she will also do yoga in the ratio , yoga : exercise = 2 : 3 . if she rides her bike for 18 minutes , how much time will she spend doing yoga ? ( rounded to minutes )
Output: 30 min .
Problem: when positive integer x is divided by 11 , the quotient is y and the remainder is 4 . when 2 x is divided by 8 , the quotient is 3 y and the remainder is 1 . what is the value of 13 y – x ?
Output: 3
Problem: what is the least number of squares tiles required to pave the floor of a room 15.17 m long and 9.02 m broad ?
Output: 814', 'b ) 266', 'c ) 287', 'd ) 999', 'e ) 661'
Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is seven times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ?
Output: 63 :
Problem: if a drawing has an outer circle of diameter 30 and an inner circle of diameter 24 , then what fraction of outer circle ' s surface is not covered by the inner circle ?
Output: 9 / 25', 'e ) 2 / 3'
Problem: the sum of three consecutive even numbers is 366 . find the middle number of the three ?
Output: 122
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 ?
Problem: some of 45 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 40 % . what fraction of the original paint was replaced ?
Output: 1 / 4
Problem: what is the greatest positive integer e such that 3 ^ e is a factor of 9 ^ 10 ?
Output: e = 20
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 . 59 ?
Output: 401
Problem: if the sum of two numbers is 45 and the h . c . f and l . c . m of these numbers are 4 and 5 respectively , then the product of the reciprocals is equal to :
Output: 1 / 2
Problem: at jerri ’ s pet shop , 60 cups of bird seed are used every 5 days to feed 20 parakeets . how many cups of bird seed would be required to feed 10 parakeets for 5 days ?
Output: 30
Problem: find the value of x : 2 x ² − 4 .
Output: - 2,2
Problem: a jar of 180 marbles is divided equally among a group of marble - players today . if 2 people joined the group in the future , each person would receive 1 marble less . how many people are there in the group today ?
Output: 18
Problem: a cricketer whose bowling average is 12.4 runs per wicket takes 5 wickets for 26 runs and there by decreases his average by 0.4 . the number age of the family now is :
Output: 85
Problem: the average of first 5 multiples of 5 is
Output: 1
Problem: a technician makes a round - trip to and from a certain service center by the same route . if the technician completes the drive to the center and then completes 50 percent of the drive from the center , what percent of the round - trip has the technician completed ?
Output: 75
Problem: the difference of two numbers is 1415 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder . what is the smaller number ?
Output: b ) 280
Problem: the price of a jacket is reduced by 25 % . during a special sale the price of the jacket is reduced another 25 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?
Output: 77.78
Problem: there is a 50 cm line marked at each centimeter and an insect is placed at every centimeter . 9 frogs are trained to jump a constant distance . the first one jumps 2 cm in every leap , the second one jumps 3 cm and so on until the 9 th one jumps 10 cm in every leap and they eat any insect that is available at that spot . if all of them start from start line and finish the entire 50 cm , how many insects were still left after the race was over ?
Output: 1
Problem: of the 180 people at a party , 70 were women , and 30 women tried the appetizer . if 50 people did not try the appetizer , what is the total number of men who tried the appetizer ?
Output: 10
Problem: danny and steve are running towards each other , each one from his own house . danny can reach steve ' s house in 25 minutes of running , which is half the time it takes steve to reach danny ' s house . if the two started to run at the same time , how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?
Output: 12.5 minutes .
Problem: we run a business that rents out canoes and kayaks . a canoe rental costs $ 15 per day , and a kayak rental costs $ 18 dollars per day . one day , our business rents out 3 canoes for every 2 kayaks and receives a total of $ 405 in revenue . how many more canoes than kayaks were rented out ?
Output: 5