Problem stringlengths 5 967 | category class label 6
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a merchant has 1000 kg of sugar part of which he sells at 8 % profit and the rest at 18 % profit . he gains 14 % on the whole . the quantity sold at 18 % profit is ? | 2gain |
a rower whose speed is 8 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 4 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ? | 0general |
how many pounds of salt at 50 cents / lb must be mixed with 40 lbs of salt that costs 25 cents / lb so that a merchant will get 20 % profit by selling the mixture at 48 cents / lb ? | 2gain |
if 10 gallons of grape juice are added to 40 gallons of a mixture , which contains 10 percent grape juice then what percent of the resulting mixture is grape juice ? | 0general |
18 men can complete a piece of work in 30 days . in how many days can 15 men complete that piece of work ? | 1physics |
if the sales tax be reduced from 4 ( 1 / 4 ) % to 1 ( 1 / 2 ) % , then what difference does it make to a person who purchases a bag with marked price of rs . 4500 ? | 0general |
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 9 hours and 16 hours respectively . the ratio of their speeds is : | 1physics |
in a colony of 70 resident s , the ratio of the number of men and women is 4 : 3 . among the women , the ratio of the educated to the uneducated is 1 : 4 . if the ratio of the number of education to uneducated persons is 8 : 27 , then find the ratio of the number of educated and uneducated men in the colony ? | 5other |
what is the average ( arithmetic mean ) of all multiples of 10 from 10 to 300 inclusive ? | 0general |
if 0.75 : x : : 5 : 8 , then x is equal to | 0general |
the reciprocal of the hcf and lcm of two are 1 / 13 and 1 / 312 . if one of the number is 24 then other no . is | 1physics |
the ratio of two no . addition and subtraction be 4 : 3 . the what is the ratio of numbers ? | 0general |
among 300 students , 56 % study sociology , 44 % study mathematics and 40 % study biology . if 30 % of students study both mathematics and sociology , what is the largest possible number of students who study biology but do not study either mathematics or sociology ? | 5other |
6 / [ ( 1 / 0.03 ) + ( 1 / 0.37 ) ] = ? | 0general |
a marketing survey of anytown found that the ratio of trucks to sedans to motorcycles was 3 : 7 : 2 , respectively . given that there are 9,800 sedans in anytown , how many motorcycles are there ? | 5other |
in a can , there is a mixture of milk and water in the ratio 1 : 5 . if it is filled with an additional 2 litres of milk the can would be full and ratio of milk and water would become 2.00001 : 5.00001 . find the capacity of the can ? | 0general |
the speed of a car increases by 2 kms after every one hour . if the distance travelling in the first one hour was 55 kms . what was the total distance travelled in 12 hours ? | 1physics |
45 x ? = 35 % of 900 | 0general |
the ratio of radius of a circle and the side of a square is 2 : 13 . find the ratio of their areas : | 3geometry |
if the average of 54 , 55 , 57 , 58 , 59 , 62 , 62 , 63 , 65 and x is 60 , what is the value of x ? | 0general |
a ranch has both horses and ponies . exactly 5 / 6 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 ? | 0general |
20 , 22 , 26 , 34 , 41 , 46 , 56 , 67 , __ ? | 0general |
the sale price sarees listed for rs . 278 after successive discount is 18 % and 19 % is ? | 2gain |
in a group of 90 students , 36 are taking history , and 30 are taking statistics . if 59 students are taking history or statistics or both , then how many students are taking history but not statistics ? | 5other |
what least number must be subtracted from 427398 so that remaining no . is divisible by 14 | 0general |
if the average ( arithmetic mean ) of a and b is 20 , and c – a = 30 , what is the average of b and c ? | 0general |
three unbiased coins are tossed . what is the probability of getting 1 heads and 1 tail ? | 4probability |
the average monthly salary of laborers and supervisors in a factory is rs . 1250 per month ; where as the average monthly salary of 6 supervisors is rs . 2450 . if the average monthly salary of the laborers is rs . 950 find the number of laborers ? | 0general |
the output of a factory is increased by 10 % to keep up with rising demand . to handle the holiday rush , this new output is increased by 40 % . by approximately what percent would the output of the factory now have to be decreased in order to restore the original output ? | 0general |
balls of equal size are arranged in rows to form an equilateral triangle . the top most row consists of one ball , the 2 nd row of two balls and so on . if 424 balls are added , then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did . how many balls made up the triangle ? | 0general |
a wholesaler wishes to sell 100 pounds of mixed nuts at $ 2.50 a pound . she mixes peanuts worth $ 1.50 a pound with cashews worth $ 4.00 a pound . how many pounds of cashews must she use ? | 0general |
each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , annie is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week annie worked a total of 44 hours . if harry and annie were paid the same amount last week , how many hours did harry work last week ? | 0general |
two pipes a and b can fill a cistern in 9 and 18 minutes respectively , and a third pipe c can empty it in 24 minutes . how long will it take to fill the cistern if all the three are opened at the same time ? | 1physics |
laura took out a charge account at the general store and agreed to pay 5 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ? | 0general |
a pharmaceutical company received $ 3 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales . by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ? | 0general |
what is the sum of the integers from - 194 to 195 inclusive ? | 0general |
if x and y are integers such that | y + 3 | ≤ 3 and 2 y – 3 x + 6 = 0 , what is the least possible value q of the product xy ? | 0general |
the average of first seven prime numbers which are between 30 and 70 is | 0general |
a batsman makes a score of 90 runs in the 17 th inning and thus increases his averages by 3 . what is his average after 17 th inning ? | 0general |
if x / y = 3 / z , then 4 x ^ 2 = | 0general |
the captain of a cricket team of 11 members is 25 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 age of the team ? | 0general |
on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with twice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.90 per glass on the first day , what was the price per glass on the second day ? | 0general |
if a person walks at 25 km / hr instead of 10 km / hr , he would have walked 31 km more . the actual distance traveled by him is ? | 0general |
the speed of a boat in still water is 8 kmph . if it can travel 1 km upstream in 1 hr , what time it would take to travel the same distance downstream ? | 1physics |
# p is defined as 2 p - 20 for any number p . what is p , if # ( # ( # p ) ) = 12 ? | 0general |
if 90 percent of 600 is 50 percent of x , then x = ? | 0general |
a number increased by 20 % gives 1080 . the number is ? | 2gain |
a train 500 m long can cross an electric pole in 20 sec and then find the speed of the train ? | 1physics |
if 5 < x < 12 and y = x + 3 , what is the greatest possible integer value of x + y ? | 0general |
on dividing a number by 357 , we get 42 as remainder . on dividing the same number by 17 , what will be the remainder ? | 0general |
evaluate : 20 - 16 ÷ 4 × 3 = | 0general |
a train 1020 m long running at 102 kmph crosses a platform in 50 sec . what is the length of the platform ? | 1physics |
a seller of used cars has 15 cars to sell and each of his clients selected 3 cars that he liked most . if each car was selected exactly thrice , how many clients visited the garage ? | 0general |
if a rectangular room measures 11 meters by 6 meters by 4 meters , what is the volume of the room in cubic centimeters ? ( 1 meter = 100 centimeters ) | 3geometry |
a rock is dropped into a well and the distance traveled is 16 t 2 feet , where t is the time . if the water splash is heard 3 seconds after the rock was dropped , and that the speed of sound is 1100 ft / sec , approximate the height of the well | 1physics |
a man can row his boat with the stream at 18 km / h and against the stream in 4 km / h . the man ' s rate is ? | 2gain |
how is 2 % expressed as a decimal fraction ? | 2gain |
for any integer n greater than 1 , # n denotes the product of all the integers from 1 to n , inclusive . how many prime numbers v are there between # 6 + 2 and # 6 + 6 , inclusive ? | 0general |
25.25 / 3000 is equal to : | 0general |
a man can row downstream at 28 kmph and upstream at 10 kmph . find the speed of the man in still water and the speed of stream respectively ? | 1physics |
two bullet trains of equal lengths take 8 seconds and 15 seconds respectively to cross a telegraph post . if the length of each bullet train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ? | 1physics |
how many even number in the range between 10 to 170 inclusive are not divisible by 3 | 0general |
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 600 sq . ft , how many feet of fencing will be required ? | 3geometry |
when positive integer x is divided by positive integer y , the remainder is 8 . if x / y = 96.16 , what is the value of y ? | 0general |
the mean of 30 values was 140 . it was detected on rechecking that one value 145 was wrongly copied as 135 for the computation of the mean . find the correct mean . | 0general |
two trains 110 meters and 180 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ? | 1physics |
the perimeter of a triangle is 20 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ? | 3geometry |
you buy a piece of land with an area of √ 900 , how long is one side of the land plot ? | 3geometry |
a large box contains 21 small boxes and each small box contains 25 chocolate bars . how many chocolate bars are in the large box ? | 0general |
a typist uses a sheet measuring 20 cm by 30 cm lenghtwise . if a margin of 2 cm is left on each side and a 3 cm margin on the top and bottom , then what is the percentage of page used by the typist ? | 2gain |
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 62 percent of the votes cast ? | 2gain |
for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the even integers between 99 and 161 ? | 0general |
a clock shows the time as 11 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 6 p . m . ? | 1physics |
a man is 26 years older than his son . in two years , his age will be twice the age of his son . what is the present age of his son ? | 0general |
a and b can do a piece of work in 6 days . with the help of c they finish the work in 5 days . c alone can do that piece of work in ? | 1physics |
an aeroplane covers a certain distance at a speed of 120 kmph in 5 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of : | 1physics |
a man swims downstream 18 km and upstream 12 km taking 3 hours each time , what is the speed of the man in still water ? | 1physics |
amar takes as much time in running 18 meters as a car takes in covering 48 meters . what will be the distance covered by amar during the time the car covers 1.3 km ? | 1physics |
a sum of rs . 2678 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ? | 2gain |
the sum of two numbers is 24 and their product is 148 . find the sum of the squares of that numbers . | 0general |
two numbers n and 12 have lcm = 54 and gcf = 8 . find n . | 1physics |
the two lines y = x and x = - 6 intersect on the coordinate plane . if z represents the area of the figure formed by the intersecting lines and the x - axis , what is the side length of a cube whose surface area is equal to 6 z ? | 0general |
the average age of 35 students in a class is 16 years . the average age of 21 students is 14 . what is the average age of remaining 14 students ? | 0general |
in the coordinate plane , one of the vertices of a square is the point ( - 6 , - 4 ) . if the diagonals of that square intersect at point ( 3 , 2 ) , what is the area of that square ? | 3geometry |
mr . jones gave 40 % of the money he had to his wife . he also gave 20 % of the remaining amount to his 3 sons . half of the amount now left was spent on miscellaneous items and the remaining amount of rs . 12000 was deposited in the bank . how much money did mr . jones have initially ? | 2gain |
if n = 3 * 4 * p where p is a prime number greater than 3 , how many different positive non - prime divisors does n have , excluding 1 and n ? | 0general |
of all the students in a certain dormitory , 1 / 2 are first - year students and the rest are second - year students . if 4 / 5 of the first - year students have not declared a major and if the fraction of second - year students who have declared a major is 1 / 2 times the fraction of first - year students who have declared a major , what fraction of all the students in the dormitory are second - year students who have not declared a major ? | 0general |
a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 1419 , what is the value of n ? | 0general |
what is the dividend ? the divisor is 17 , the quotient is 4 and the remainder is 8 . | 0general |
line m lies in the xy - plane . the y - intercept of line m is - 1 , and line m passes through the midpoint of the line segment whose endpoints are ( 2 , 4 ) and ( 6 , - 8 ) . what is the slope of line m ? | 0general |
the average of first 10 prime numbers is ? | 0general |
if f ( x ) = 2 x ^ 2 + y , and f ( 2 ) = 50 , what is the value of f ( 5 ) ? | 0general |
a man has an investment of $ 3000 which yields a fixed 305 for every $ 500 invested . if the man takes out $ 12.6 for every $ 500 how long will it take for him to double his investment assuming no compounding of interest . | 0general |
each week , harry is paid x dollars per hour for the first 30 hours and 1.5 x dollars for each additional hour worked that week . each week , annie is paid x dollars per hour for the first 40 hours and 2 x dollars for each additional hour worked that week . last week annie worked a total of 47 hours . if harry and annie were paid the same amount last week , how many hours did harry work last week ? | 0general |
car a runs at the speed of 80 km / hr & reaches its destination in 5 hr . car b runs at the speed of 100 km / h & reaches its destination in 2 h . what is the respective ratio of distances covered by car a & car b ? | 1physics |
the area of one square is x ^ 2 + 10 x + 25 and the area of another square is 4 x ^ 2 − 12 x + 9 . if the sum of the perimeters of both squares is 32 , what is the value of x ? | 0general |
sandy had $ 217 left after spending 30 % of the money she took for shopping . how much money did sandy take along with her ? | 2gain |
the cube root of . 000216 is : | 3geometry |
at a special sale , 12 tickets can be purchased for the price of 4 tickets . if 12 tickets are purchased at the sale , the amount saved will be what percent of the original price of the 12 tickets ? | 2gain |
a person can swim in still water at 12 km / h . if the speed of water 6 km / h , how many hours will the man take to swim back against the current for 6 km ? | 1physics |
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