Problem
stringlengths 5
967
| category
class label 6
classes |
|---|---|
a pump can fill a tank with water in 2 hours . because of a leak , it took 2 1 / 7 hours to fill the tank . the leak can drain all the water of the tank in ? | 1physics
|
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 3 more horses than ponies , what is the minimum possible combined number of horses and ponies on the ranch ? | 0general
|
there are 13 boys and 10 girls in a class . if three students are selected at random , in how many ways that 1 girl or 2 boys are selected ? | 4probability
|
a student gets 70 % in one subject , 80 % in the other . to get an overall of 75 % how much should get in third subject . | 2gain
|
carina has 85 ounces of coffee divided into 5 - and 10 - ounce packages . if she has 2 more 5 - ounce packages than 10 - ounce packages , how many 10 - ounce packages does she have ? | 0general
|
how much water must be added to 56 litres of milk at 1 1 β 2 litres for 20 so as to have a mixture worth 10 2 β 3 a litre ? | 0general
|
if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2000 less than the principal . what was the principal ? | 2gain
|
if two integers x , y ( x > y ) are selected from - 10 to 10 ( inclusive ) , how many possible cases are there ? | 4probability
|
jolene entered an 18 - month investment contract that guarantees to pay 2 percent interest at the end of 6 months , another 3 percent interest at the end of 12 months , and 4 percent interest at the end of the 18 month contract . if each interest payment is reinvested in the contract , and jolene invested $ 10,000 initially , what will be the total amount of interest paid during the 18 - month contract ? | 2gain
|
the sum of the numbers is 110 . if the first number be twice the second and third number be one - third of the first , then the second number is : | 0general
|
total dinning bill of 3 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared . | 0general
|
the ratio of the radius of two circles is 5 : 3 , and then the ratio of their areas is ? | 3geometry
|
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 512,000 locusts ? | 0general
|
if the price of gasoline increases by 20 % and a driver intends to spend only 14 % more on gasoline , by how much percent should the driver reduce the quantity of gasoline that he buys ? | 0general
|
a cube is divided into 343 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that , the cube is painted with green on one set of opposite faces , red on another set of opposite faces , and blue on the third set of opposite faces . how many cubelets are painted with exactly one colour ? | 3geometry
|
the average of 7 consecutive numbers is 20 . the largest of these numbers is : | 0general
|
a number x is multiplied with itself and then added to the product of 4 and x . if the result of these two operations is 5 , what is the value of x ? | 0general
|
12 spheres of the same size are made from melting a solid cylinder of 8 cm diameter and 1 cm height . what is the diameter of each sphere ? | 1physics
|
9 neighbors are to split the cost of topsoil . the cost of the 5 truck loads of dirt was $ 690.47 . what is the least amount of money ( in whole number of dollars ) that they must add to bill if they wants to split this money evenly among his 9 neighbors ? | 0general
|
evaluate : 11 + sqrt ( - 4 + 6 Γ 4 Γ· 3 ) | 0general
|
16 people can write 52 book in 12 days working 8 hour a day . then in how many day 206 can be written by 64 people ? | 1physics
|
total dinning bill for 7 people was $ 211.00 . if they add 15 % tip and divided the bill evenly , approximate . what was each persons find share | 0general
|
what is the area of square field whose side of length 20 m ? | 3geometry
|
a cyclist bikes x distance at 8 miles per hour and returns over the same path at 812 miles per hour . what is the cyclist ' s average rate for the round trip in miles per hour ? | 1physics
|
in a survey of 345 employees , 104 of them are uninsured , 54 work part time , and 12.5 percent of employees who are uninsured work part time . if a person is to be randomly selected from those surveyed , what is the probability that the person will neither work part time nor be uninsured ? | 1physics
|
two dogsled teams raced across a 300 mile course in wyoming . team a finished the course in 3 fewer hours than team w . if team a ' s average speed was 5 mph greater than team w ' s , what was team w ' s average mph ? | 1physics
|
if a ( a - 5 ) = 6 and b ( b - 5 ) = 6 where a β b , then a + b = | 0general
|
how many positive integers less than 100 have a remainder of 6 when divided by 13 ? | 0general
|
given f ( x ) = 3 x β 5 , for what value of x does 2 * [ f ( x ) ] β 1 = f ( 3 x β 6 ) | 0general
|
in n is a positive integer less than 200 , and 18 n / 60 is an integer , then n has how many different positive prime factors ? | 0general
|
the ratio of numbers is 3 : 4 and their h . c . f is 8 . their l . c . m is : | 5other
|
every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 59000 ? | 0general
|
a person buys an article at rs . 500 . at what price should he sell the article so as to make a profit of 30 % ? | 2gain
|
if the sum and difference of two numbers are 20 and 8 respectively , then the difference of their square is : | 0general
|
raja complete a journey in 10 hours . he travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km . | 1physics
|
the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % is : | 3geometry
|
a person travels equal distances with speeds of 2 km / hr , 4 km / hr , 6 km / hr . and takes a total time of 11 minutes . find the total distance ? | 1physics
|
the ratio of the radius of two circles is 1 : 9 , and then the ratio of their areas is ? | 3geometry
|
the average salary of all the workers in a workshop is rs . 9000 . the average salary of 6 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is ? | 0general
|
the first flight out of phoenix airport had a late departure . if the next 3 flights departed on - time , how many subsequent flights need to depart from phoenix on - time , for the airport ' s on - time departure rate to be higher than 60 % ? i will see what is the quickest way to solve it then i will provide the explanation | 2gain
|
6 ) a marketing firm determined that , of 300 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ? | 5other
|
tom , working alone , can paint a room in 6 hours . peter and john , working independently , can paint the same room in 3 hours and 8 hours , respectively . tom starts painting the room and works on his own for one hour . he is then joined by peter and they work together for an hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ? | 1physics
|
a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 50,000 and at the same time n is a perfect square and a perfect cube ? | 3geometry
|
at joel β s bookstore , the current inventory is 40 % historical fiction . of the historical fiction books , 40 % are new releases , while 40 % of the other books are new releases . what fraction of all new releases are the historical fiction new releases ? | 2gain
|
the price of lunch for 15 people was $ 209.00 , including a 15 percent gratuity for service . what was the average price per person , excluding the gratuity ? | 0general
|
the average of 50 numbers id 44 . if two numbers , namely 45 and 55 are discarded , the average of the remaining numbers is : | 0general
|
mike earns $ 14 per hour and phil earns $ 12 per hour . approximately how much less , as a percentage , does phil earn than mike per hour ? | 0general
|
what is the remainder when 45 * 49 is divided by 8 ? | 0general
|
6 persons in an organization including a and b were to be divided in two groups of 3 members each . the total number of groups containing both a and b is what fraction of the total number of groups which can be formed ? | 0general
|
solution x is 80 % chemical a and 20 % chemical b by volume . solution y is 50 % chemical a and 50 % chemical b by volume . if a mixture of x and y is 68 % chemical a , what percent of the mixture is solution x ? | 2gain
|
what number has a 5 : 1 ratio to the number 11 ? | 5other
|
in a class , if 50 % of the boys were girls , then there would be 50 % more girls than boys . what percentage of the overall class is girls ? | 2gain
|
a man can row downstream at the rate of 30 kmph and upstream at 10 kmph . find the man β s rate in still water and rate of current ? | 2gain
|
the cost of a one - family home was $ 120,000 in 1980 . in 1988 , the price had increased to $ 192,000 . what was the percent increase in the cost of the home ? | 0general
|
a dishonest dealer professes to sell goods at the cost price but uses a weight of 900 grams per kg , what is his percent ? | 2gain
|
in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the sport formulation contains 5 ounces of corn syrup , how many ounces of water does it contain ? | 5other
|
what is the value of x ^ 2 yz β xyz ^ 2 , if x = - 1 , y = 1 , and z = 3 ? | 0general
|
a batsman in his 19 th inning makes a score of 100 and their by increasing his average by 2 . what is his average after the 19 th inning ? | 0general
|
b takes 12 more days than a to finish a task . b and a start this task and a leaves the task 12 days before the task is finished . b completes 60 % of the overall task . how long would b have taken to finish the task if he had worked independently ? | 1physics
|
a train 100 m long is running with a speed of 68 kmph . in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going ? | 1physics
|
with a uniform speed a car covers the distance in 8 hours . had the speed been increased by 4 km / hr , the same distance could have been covered in 7 1 / 2 hours . what is the distance covered ? | 1physics
|
an error 19 % in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ? | 2gain
|
in the first 20 overs of a cricket game , the run rate was only 4.2 . what should be the run rate in the remaining 30 overs to reach the target of 324 runs ? | 2gain
|
x and y are integers . a + b < 11 , and a > 6 . what is the smallest possible value of a - b ? | 0general
|
a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 65 percent . | 1physics
|
if x is the product of the positive integers from 1 to 8 , inclusive , and if i , k , m , and p are positive integers such that x = 2 ^ i * 3 ^ k * 5 ^ m * 7 ^ p , then i + k + m + p = | 0general
|
find the base k of the number system , if ( 524 ) 8 = ( 664 ) k ? | 3geometry
|
if n is the greatest number that will divide 1305 , 4665 and 6905 , leaving the same remainder in each case . what is the sum of the digits of n ? | 0general
|
an area of a circularplace is 17 hectares . find the cost of fencing it at the rate of rs . 3 permeter approximately . | 3geometry
|
having received his weekly allowance , john spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 0.90 at the candy store . what is john β s weekly allowance ? | 0general
|
if a tire rotates at 400 revolutions per minute when the car is traveling 96 km / h , what is the circumference of the tire ? | 1physics
|
a certain characteristic in a large population has a distribution that is symmetric about the mean m . if 68 % of the distribution lies one standard deviation f of the mean , what percent of the distribution is less than m + f ? | 0general
|
the result when a number subtracted from 100 is the same as the number added to 40 . what is the number ? | 0general
|
if a / b = 6 / 5 , then ( 5 a + 4 b ) / ( 5 a - 4 b ) = ? | 0general
|
running at their respective constant rate , machine x takes 2 days longer to produce w widgets than machines y . at these rates , if the two machines together produce 5 w / 4 widgets in 3 days , how many days would it take machine x alone to produce 1 w widgets . | 0general
|
if the number 761 * 829 is completely divisible by 9 , then the smallest whole number in place of * will b | 0general
|
teas worth rs . 126 per kg and rs . 135 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs 157 per kg , the price of the third variety per kg will be ? | 5other
|
the sub - duplicate ratio of 9 : 25 is | 5other
|
sushil got thrice as many marks in english as in science . his total marks in english , science and maths are 162 . if the ratio of his marks in english and maths is 3 : 5 , find his marks in science ? | 0general
|
a train moves past a post and a platform 264 m long in 8 seconds and 20 seconds respectively . what is the speed of the train ? | 1physics
|
of 120 applicants for a job , 56 had at least 4 years ' experience , 72 had degrees , and 12 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ? | 0general
|
a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 39000 , then the share of b is ? | 2gain
|
divide rs . 32000 in the ratio 3 : 5 ? | 5other
|
what is the hcf of 2 / 3 , 4 / 15 and 6 / 5 | 0general
|
n 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 600 m ? | 1physics
|
3 , 14,39 , _ ? | 0general
|
if x : y = 3 : 5 , find the value of ( 2 x + 4 y ) : ( 4 x β y ) | 0general
|
nd the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 14 cm ? | 1physics
|
a β palindromic integer β 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 600,000 ? | 0general
|
a reduction of 20 % in the price of salt enables a lady to obtain 4 kgs more for rs . 100 , find the original price per kg ? | 2gain
|
kyle , david , and catherine each try independently to solve a problem . if their individual probabilities for success are 1 / 8 , 1 / 4 and 3 / 5 , respectively , what is the probability no one will solve the problem ? | 0general
|
if p and q are prime numbers , how many divisors does the product p ^ 6 * q ^ 7 have ? | 0general
|
if there is an equal probability of a child being born a boy or a girl , what is the probability that a couple who have 4 children have two children of the same sex and one of the opposite sex ? | 0general
|
the measurement of a rectangular box with lid is 25 cmx 12 cmx 18 cm . find the volume of the largest sphere that can be inscribed in the box ( in terms of Ο cm 3 ) . ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere ) | 3geometry
|
when a certain number x is divided by 72 , the remainder is 19 . what is the remainder when x is divided by 8 ? | 0general
|
in a tournament prize of 1 st , 2 nd , and 3 rd is given in same interval . if total amount of prize rs 4800 and prize of 1 st is rs 2000 , find the interval ? ? | 0general
|
if n = 8 ^ 11 β 1 , what is the units digit of n ? | 0general
|
$ 600 will become $ 720 in 4 years find the rate of interest ? | 2gain
|
the area of a circle is increased by 300 % . by what percent has the diameter of the circle increased ? | 3geometry
|
18 men take 21 days of 8 hours each to do a piece of work . how many days of 6 hours each would 21 women take to do the same . if 3 women do as much work as 2 men ? | 1physics
|
Subsets and Splits