Problem stringlengths 5 967 | category class label 6
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if rs . 527 be divided among a , b , c in such a way that a gets 2 / 3 of what b gets and b gets 1 / 4 of what c gets , then their shares are respectively ? | 0general |
the annual interest rate earned by an investment increased by 10 percent from last year to this year . if the annual interest rate earned by the investment this year was 9 percent , what was the annual interest rate last year ? | 2gain |
in what ratio should a variety of rice costing rs . 6 per kg be mixed with another variety of rice costing rs . 8.75 per kg to obtain a mixture costing rs . 7.50 per kg ? | 5other |
a driver goes on a trip of 60 kilometers , the first 30 kilometers at 60 kilometers per hour and the remaining distance at 30 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ? | 1physics |
a certain meter records voltage between 0 and 10 volts inclusive . if the average value of 3 recordings on the meter was 7 volts , what was the smallest possible recording in volts ? | 0general |
the perimeter of one square is 48 cm and that of another is 28 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ? | 3geometry |
two bullet train s 140 m and 160 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 : | 1physics |
18 times a positive integer is more than its square by 80 , then the positive integer is | 0general |
if | x + 3 | = 15 , what is the sum of all the possible values of x ? | 0general |
a box has 12 shapes ; 3 circles , 5 squares , and 4 triangles . how many groups of 3 shapes can be made with at least 1 triangle ? | 3geometry |
how many liters of water must be evaporated from 50 liters of a 3 - percent sugar solution to get a 5 - percent solution ? | 2gain |
we bought 85 hats at the store . blue hats cost $ 6 and green hats cost $ 7 . the total price was $ 540 . how many green hats did we buy ? | 0general |
if â € œ * â € is called â € œ + â € , â € œ / â € is called â € œ * â € , â € œ - â € is called â € œ / â € , â € œ + â € is called â € œ - â € . 80 / 40 â € “ 10 * 20 + 10 = ? | 0general |
a , b and c enter into a partnership . a invests 3 times as much as b invests and 2 / 3 of what c invests . at the end of the year , the profit earned is rs . 66000 . what is the share of c ? | 2gain |
a factory has three types of machines , each of which works at its own constant rate . if 7 machine as and 11 machine bs can produce 525 widgets per hour , and if 8 machine as and 22 machine cs can produce 600 widgets per hour , how many widgets could one machine a , one machine b , and one machine c produce in one 8 - hour day ? | 1physics |
find number which is 70 % less than 60 . | 2gain |
a person want to give his money of $ 1000 to his 4 children a , b , c , d in the ratio 2 : 4 : 3 : 1 . what is the a + d share ? | 5other |
mariah has decided to hire three workers . to determine whom she will hire , she has selected a group of 14 candidates . she plans to have one working interview with 3 of the 14 candidates every day to see how well they work together . how many days will it take her to have working interviews with all the different combinations of job candidates ? | 1physics |
an athlete runs 200 metres race in 20 seconds . what is his speed ? | 1physics |
a certain meter records voltage between 0 and 10 volts inclusive . if the average value of 3 recordings on the meter was 6 volts , what was the smallest possible recording in volts ? | 0general |
what is the remainder when 7777 * 8888 * 101010 is divided by 33 | 0general |
find the last digit in the product 287 x 287 + 269 x 269 - 2 x 287 x 269 ? | 0general |
at a monthly meeting , 2 / 3 of the attendees were males and 3 / 4 of the male attendees arrived on time . if 5 / 6 of the female attendees arrived on time , what fraction of the attendees at the monthly meeting did not arrive on time ? | 0general |
the sum of the ages of 4 children born at the intervals of 4 years each is 36 years . what is the age of the youngest child ? | 0general |
a school has 4 section of chemistry in class x having 50 , 35 , 45 and 42 students . the mean marks obtained in chemistry test are 50 , 60 , 55 and 45 respectively for the 4 sections . determine the overall average of marks per student . | 0general |
what is the least integer that is a sum of 4 different prime numbers each greater than 10 ? | 0general |
what is the smallest positive integer that can be multiplied by 605 to make it a perfect square ? | 3geometry |
set a consists of the integers from 1 to 12 , inclusive , while set b consists of the integers from 5 to 15 , inclusive . how many distinct integers do belong to the both sets at the same time ? | 5other |
p , q and r have rs . 6000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ? | 0general |
on sunday , bill ran 4 more miles than he ran on saturday . julia did not run on saturday , but she ran twice the number of miles on sunday that bill ran on sunday . if bill and julia ran a total of 32 miles on saturday and sunday , how many miles did bill run on sunday ? | 0general |
a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 260 per month . what is his monthly salary ? | 0general |
a 160 meter long train crosses a man standing on the platform in 4 sec . what is the speed of the train ? | 1physics |
p and q started a business investing rs 60000 and rs 15000 resp . in what ratio the profit earned after 2 years be divided between p and q respectively . | 2gain |
20 people can write 50 book in 15 days working 8 hour a day . then in how many day 200 can be written by 60 people ? | 1physics |
if each side of a square is increased by 50 % , the ratio of the area of the resulting square to the area of the given square is : | 3geometry |
what least number must be added to 1078 , so that the sum is completely divisible by 23 ? | 0general |
find the average marks of all the students in 2 separate classes , if the average marks of students in the first class of 55 students is 60 and that of another class of 48 students is 58 | 0general |
a train is 100 meter long and is running at the speed of 30 km per hour . find the time it will take to pass a man standing at a crossing . | 1physics |
on a game show , a contestant is given 3 keys , each of which opens exactly one of the 3 identical boxes . the contestant assigns each key to one of the boxes and wins the amount of money contained in any box that is opened by the key assigned to it . the first box contains $ 4 , the second $ 400 , and the third $ 4000 . what is the probability that a contestant will win more than $ 4000 ? | 0general |
the edges of a cuboid are 4 cm , 5 cm and 6 cm . find the volume of the cuboid ? | 1physics |
for any integer k greater than 1 , the symbol k * denotes the product of all integers between 1 and k , inclusive . if k * is a multiple of 1701 what is the least possible value of k ? | 0general |
a car traveled 462 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 12 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ? | 1physics |
the side of a rhombus is 25 m and length of one of its diagonals is 10 m . the area of the rhombus is ? | 3geometry |
two dogsled teams raced across a 300 - mile course in wyoming . team a finished the course in 3 fewer hours than did team b . if team a ’ s average speed was 5 miles per hour greater than that of team b , what was team b ’ s average speed , in miles per hour ? | 1physics |
a metallic sheet is of rectangular shape with dimensions 52 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is : | 3geometry |
a shopkeeper forced to sell at cost price , uses a 700 grams weight for a kilogram . what is his gain percent ? | 2gain |
a man can do a piece of work in 7 days , but with the help of his son , he can do it in 3 days . in what time can the son do it alone ? | 1physics |
what is log 3 ( 4 ) log 4 ( 5 ) . . . log 80 ( 81 ) ? | 5other |
0.0005521 / 0.0000110 x 15.05 = ? | 0general |
the average of 6 observations is 16 . a new observation is included and the new average is decreased by 1 . the seventh observation is ? | 0general |
the total age of a and b is 16 years more than the total age of b and c . c is how many years younger than a ? | 0general |
keats library purchases a number of new books , all in the category of biography , and the library does not acquire any other books . with the addition of the new biographies , the biography collection of the library amounts to 25 % of the total number of books in the library . if prior to the purchase , only 20 % of the books in keats library were biographies , by what percent has the number of biographies in the library increased ? | 0general |
a train running at the speed of 60 km / hr crosses a pole in 36 seconds . what is the length of the train ? | 1physics |
the product of three consecutive numbers is 504 . then the sum of the smallest two numbers is ? | 0general |
if 3 ^ 20 x 2 ^ 20 = 6 ^ n what is the value of n ? | 0general |
20 men can do a work in 40 days . when should 20 men leave the work so that the entire work is completed in 40 days after they leave the work ? | 1physics |
mary and harry enter into a partnership by investing $ 700 and $ 300 respectively . at the end of one year , they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business . if mary received $ 800 more than harry did , what was the profit made by their business in that year ? | 0general |
a thief goes away with a santro car at a speed of 45 kmph . the theft has been discovered after half an hour and the owner sets off in a bike at 50 kmph when will the owner over take the thief from the start ? | 1physics |
what is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ? | 1physics |
the average of runs of a cricket player of 10 innings was 40 . how many runs must he make in his next innings so as to increase his average of runs by 4 ? | 0general |
find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 18 as remainder | 0general |
the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 588 sq m , then what is the breadth of the rectangular plot ? | 3geometry |
a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 20 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ? | 2gain |
21 friends went to a hotel and decided to pay the bill amount equally . but 20 of them could pay rs . 30 each as a result 21 st has to pay rs . 200 extra than his share . find the amount paid by him . | 0general |
a train 125 m long passes a man , running at 3 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ? | 1physics |
if 10 lions can kill 10 deers in 10 minutes how long will it take 100 lions to kill 100 deers ? | 1physics |
a certain school implemented a reading program for its students , with the goal of getting each student to read 3 books per month year - round . if the school has c classes made up of s students in each class , how many books will the entire student body read in one year ? | 0general |
a can give b 100 meters start and c 300 meters start in a kilometer race . how much start can b give c in a kilometer race ? | 1physics |
if x gets 25 % more than y and y gets 20 % more than z , the share of z out of rs . 740 will be : | 0general |
a man buys an item at rs . 750 and sells it at the loss of 20 percent . then what is the selling price of that item | 2gain |
harry started a 4 - mile hike with a full 10 - cup canteen of water and finished the hike in 2 hours with 2 cup of water remaining in the canteen . if the canteen leaked at the rate of 1 cup per hour and harry drank 3 cups of water during the last mile , how many cups did he drink per mile during the first 3 miles of the hike ? | 1physics |
salesperson a ' s compensation for any week is $ 260 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of b ' s total sales for that week . for what amount of total weekly sales would both salespeople earn the same compensation ? | 0general |
a , b and c start a business each investing 2,000 . after 6 months a withdrew 1000 , b withdrew 1000 and c invests 1000 more . at the end of the year , a total profit of 6600 was recorded . find the share of b . | 2gain |
in the third grade of windblown school there are 96 students , one third of them failed the math test and 1 / 6 failed that literature test . at least how many students failed both tests ? | 5other |
rajat , vikas and abhishek are submitting questions in the ratio 7 : 3 : 2 . if total number of questions submitted by them is 24 . find the number of questions submitted by vikas . | 5other |
a number divided by 64 leaves remainder 37 what is the remainder when same number divided by 5 | 0general |
a man sold 20 articles for $ 60 and gained 20 % . how many articles should he sell for $ 80 to incur a loss 20 % ? | 2gain |
divide rs . 1100 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 ? | 0general |
a meeting has to be conducted with 5 managers . find the number of ways in which the managers be selected from among 9 managers , if 2 managers will not attend the meeting together ? | 4probability |
a number when divided by 296 leaves 75 as remainder . when the same number is divided by 37 , the remainder will be : | 0general |
a certain car increased its average speed by 5 miles per hour in each successive 5 - minute interval after the first interval . if in the first 5 - minute interval its average speed was 2 miles per hour , how many miles did the car travel in the third 5 - minute interval ? | 1physics |
two trains of equal length , running with the speeds of 60 and 40 kmph , take 60 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ? | 1physics |
what will be the vulgar fraction of 0.60 | 0general |
how many 3 digit positive integers w exist that when divided by 7 leave a remainder of 5 ? | 0general |
find the missing figures : 0.2 % of ? = 0.02 | 2gain |
find the value of 18396 x 9999 = m ? | 0general |
the sum of the squares of three numbers is 100 , while the sum of their products taken two at a time is 48 . their sum is : | 0general |
if , 1 * 3 * 5 = 16 3 * 5 * 7 = 38 then find , 13 * 15 * 17 = ? | 0general |
if 20 men can build a wall 66 metres long in 6 days , what length of a similar can be built by 86 men in 8 days ? | 1physics |
the calendar of the year 2024 can be used again in the year ? | 2gain |
the pinedale bus line travels at an average speed of 60 km / h , and has stops every 5 minutes along its route . yahya wants to go from his house to the pinedale mall , which is 6 stops away . how far away , in kilometers , is pinedale mall away from yahya ' s house ? | 1physics |
a sixth grade teacher asked her students to draw rectangles with positive integer length and a perimeter of 42 . the difference between the largest and smallest possible ares of the rectangles that the students could have come up with is ? | 3geometry |
3 partners a , b , c starts a business . twice a ' s capital is equal to thrice b ' s capital and b ' s capital is 4 times c ' s capital . out of a total profit of rs . 16500 at the end of the year , b ' s share is | 0general |
a retailer sells 6 shirts . the first 2 he sells for $ 40 and $ 50 . if the retailer wishes to sell the 6 shirts for an overall average price of over $ 50 , what must be the minimum average price of the remaining 4 shirts ? | 0general |
the average salary of a person for the months of january , february , march and april is rs . 8000 and that for the months february , march , april and may is rs . 8800 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ? | 0general |
with both inlets open , a water tank will be filled with water in 20 minutes . the first inlet alone would fill the tank in 2 hours . if in every minutes the second inlet admits 50 cubic meters of water than the first , what is the capacity of the tank ? | 1physics |
the ratio between the radii of two spheres is 1 : 3 . find the ratio between their volumes ? | 5other |
every year taylor goes to the same carnival , and he attempts to shoot a basketball into a small hoop , hoping that he will win a 10 - foot tall teddy bear . if the probability that taylor does not make a basket is 1 / 3 , what is the probability that taylor makes exactly one basket in 3 tries ? | 0general |
the average of 13 result is 20 . average of the first 8 of them is 20 and that of the last 8 is 40 . find the 8 th result ? | 0general |
16 boys or 24 girls can construct the wall in 6 days . the number of days that 4 boys and 12 girls will take to construct ? | 1physics |
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