Problem
stringlengths
5
967
category
class label
6 classes
find the value of 658217 x 99999 = m ?
0general
a girl was asked to multiply a certain number by 43 . she multiplied it by 34 and got his answer less than the correct one by 1251 . find the number to be multiplied .
0general
calculate the largest 6 digit number which is exactly divisible by 55 ?
0general
10 years ago , the age of peter was one - third the age of jacob at that time . the present age of jacob is 12 years more than the present age of peter . find the present age of peter ?
0general
at a supermarket , john spent 1 / 2 of his money on fresh fruits and vegetables , 1 / 3 on meat products , and 1 / 10 on bakery products . if he spent the remaining $ 8 on candy , how much did john spend at the supermarket ?
0general
tough and tricky questions : exponents . if 5 ^ ( x + 1 ) * 4 ^ ( y - 1 ) = 25 ^ x * 64 ^ y , then x + y =
0general
what is the remainder of e = 3 ^ 19 when divided by 10 ?
0general
what no should be subtracted from 92555 to make it a perfect square ?
3geometry
a hall is 6 meters long and 6 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 ) ?
3geometry
the banker ' s gain on a bill due due 1 year hence at 12 % per annum is rs . 6 . the true discount is
2gain
a line has a slope of 3 / 4 and intersects the point q ( - 12 , - 39 ) . at which point does this line intersect the x - axis ?
0general
a student took 6 courses last year and received an average ( arithmetic mean ) grade of 100 points . the year before , the student took 5 courses and received an average grade of 80 points . to the nearest tenth of a point , what was the student ’ s average grade for the entire two - year period ?
0general
8.008 / 2.002
0general
the number 86 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?
3geometry
a motorcyclist started riding at highway marker a , drove 120 miles to highway marker b , and then , without pausing , continued to highway marker c , where she stopped . the average speed of the motorcyclist , over the course of the entire trip , was 50 miles per hour . if the ride from marker a to marker b lasted 3 times as many hours as the rest of the ride , and the distance from marker b to marker c was half of the distance from marker a to marker b , what was the average speed , in miles per hour , of the motorcyclist while driving from marker b to marker c ?
1physics
a 14 % stock yielding 10 % is quoted at :
2gain
subash can copy 50 pages in 10 hrs . subash and prakash together can copy 300 pages in 40 hours . in how much time prakash can copy 30 pages .
0general
a 25 % stock yielding 20 % is quoted at :
2gain
a and b can do a piece of work in 12 days . with the help of c they finish the work in 3 days . c alone can do that piece of work in ?
1physics
the average of 11 numbers is 9.9 . if the average of the first 6 numbers is 10.5 and that of the last 6 numbers is 11.4 , then the middle number is
0general
in how many ways can an answer key for a quiz be written if the quiz contains 3 true - false questions followed by 3 multiple - choice questions with 4 answer choices each , if the correct answers to all true - false questions can not be the same ?
0general
if 2 ^ 5 , 3 ^ 3 , and 12 ^ 2 are all factors of the product of 936 and w where w is a positive integer , what is the smallest possible value of w ?
0general
the ratio of 3 numbers is 5 : 1 : 4 and their sum is 1000 . the last number of the 3 numbers is ?
5other
when average age of 21 members are 0 , how many members greater than 0 ?
0general
the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 72 of the area of the field . what is the length of the field ?
3geometry
for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.367 ] = 1 and [ 1.899 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ?
0general
how many times digit 6 is used while writing numbers from 80 to 1000 ?
0general
p and q invested in a business . they earned some profit which they divided in the ratio of 2 : 3 . if p invested rs . 60 , 000 , the amount invested by q is :
2gain
if m = | | n – 3 | – 2 | , for how many values of n is m = 5 ?
1physics
the average of 30 results is 20 and the average of other 20 results is 30 . what is the average of all the results ?
0general
when an amount was distributed among 14 boys , each of them got $ 80 more than the amount received by each boy when the same amount is distributed equally among 18 boys . what was the amount ?
0general
if 5 % of a number is equal to one - third of another number , what is the ratio of first number to the second number ?
0general
a baseball card decreased in value 50 % in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ?
2gain
2 ^ 35 ^ 26 ^ 1 find largest value ?
0general
what is 35 % of 4 / 13 of 585 ?
2gain
if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ) , what is the smallest possible positive value of n ?
5other
at a small company , 64 percent of the employees are women , and 60 percent of the employees are married . if 2 / 3 of the men are single , what fraction of the women are married ?
2gain
if annual decrease in the population of a town is 10 % and the present number of people is 500 what will the population be in 1 year ?
2gain
if | x | = 7 x - 5 , then x = ?
0general
the sum of two numbers is 56 , and one of them is 12 more than the other . what are the two numbers ?
0general
a horse is tethered to one corner of a rectangular grassy field 46 m by 20 m with a rope 17 m long . over how much area of the field can it graze ?
3geometry
a person incurs 5 % loss by selling a watch for $ 1140 . at what price should the watch be sold to earn 5 % profit ?
2gain
if the average of 10 consecutive integers is 22.5 then the 10 th integer is : -
0general
find the area of a parallelogram with base 32 cm and height 22 cm ?
3geometry
sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 350 dollars . on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days . each cup she sold had a total cost of 75 cents and sarah did not incur any other costs . if every day she sold exactly 32 cups and 4 of the days were hot , then what was the price of 1 cup on a hot day ?
2gain
if 1 = 6 2 = 12 3 = 18 4 = 24 5 = 30 6 = 36 then 12 = ? hint : its a logic riddle not a mathematical riddle
5other
what is the number of integers from 1 to 900 ( inclusive ) that are divisible by neither 11 nor by 35 ?
5other
217 + 2.017 + 0.217 + 2.0017 = ?
0general
two men amar and bhuvan have the ratio of their monthly incomes as 6 : 5 . the ratio of their monthly expenditures is 3 : 2 . if bhuvan saves one - fourth of his income , find the ratio of their monthly savings ? a . 3 : 5
0general
if 3 cm of a pencil is purple , 2 cm of the remaining is black and the remaining 1 cm is blue , what is the total length of the pencil ?
1physics
a car covers a distance of 624 km in 2 2 / 5 hours . find its speed ?
1physics
find the perimetri of trapezium with sides 4 , 6,12 and distance between two parallel side is 3 .
1physics
the average of first five prime numbers greater than 20 is ?
0general
a certain telephone company offers two plans , a and b . under plan a , the company charges a total of $ 0.60 for the first 6 minutes of each call and $ 0.06 per minute thereafter . under plan b , the company charges $ 0.08 per minute of each call . what is the duration of a call , in minutes , for which the company charges the same amount under plan a and under plan b ?
5other
solution x is 10 % chemical a and 90 % chemical b by volume . solution y is 20 % chemical a and 80 % chemical b by volume . if a mixture of x and y is 12 % chemical a , what percent of the mixture is solution x ?
2gain
the flowerman sale , all of the prices of the flowers sold were different . if the price of a radio sold at the flowerman sale was both the 17 th highest price and the 42 th lowest price among the prices of the slowers sold , how many flowers were sold at the flowerman sale ?
5other
milk contains 5 % water . what quantity of pure milk should be added to 10 litres of milk to reduce this 2 % ?
2gain
in the set of positive integers from 1 to 80 , what is the sum of all the odd multiples of 5 ?
0general
dan ' s age after 18 years will be 8 times his age 3 years ago . what is the present age of dan ?
0general
the wages earned by robin is 44 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much % is the wages earned by charles more than that earned by robin ?
0general
solution p is 20 percent lemonade and 80 percent carbonated water by volume ; solution q is 45 percent lemonade and 55 percent carbonated water by volume . if a mixture of pq contains 67.5 % percent carbonated water , what percent of the volume of the mixture is p ?
2gain
the average age of a family of 6 members is 40 years . if the age of the youngest member is 7 years , what was the average age of the family at the birth of the youngest member ?
0general
a man rows his boat 80 km downstream and 38 km upstream , taking 3 hours each time . find the speed of the stream ?
1physics
if x ⁄ 2 + 5 ⁄ 4 = 5 ⁄ 4 , what is the value of x ?
0general
at what rate percent per annum will a sum of money double in 7 years .
2gain
sum of the squares of 3 no . ' s is 99 and the sum of their products taken two at a time is 131 . find the sum ?
0general
a rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 2 per sq m ?
3geometry
the ratio of ducks and frogs in a pond is 37 : 39 respectively . the average number of ducks and frogs in the pond is 150 . what is the number of frogs in the pond ?
0general
the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 14000 , then find the annual income of a ?
5other
in the rectangular coordinate system , points ( 2 , 0 ) and ( – 2 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c ?
3geometry
if ram and gohul can do a job in 10 days and 15 days independently , how many days would they take to complete the same job working simultaneously ?
1physics
trapezoid jklm in the x - y plane has coordinates j = ( – 2 , – 4 ) , k = ( – 2 , 2 ) , l = ( 6 , 8 ) , and m = ( 6 , – 4 ) . what is its perimeter ?
1physics
a box contains 7 purple , 5 blue and 11 yellow balls . what is the minimum number of tries required to get one blue and one yellow ball ?
0general
the length of a rectangular floor is more than its breadth by 200 % . if rs . 361 is required to paint the floor at the rate of rs . 3.00001 / sq m , what would be the length of the floor ?
2gain
3 men and 3 women are lined up in a row . what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other )
0general
carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 12 inches by 15 inches and jordan ' s rectangle is 6 inches long , how wide is jordan ' s rectangle , in inches ?
3geometry
the calendar of the year 2080 can be used again in the year ?
2gain
sum of 42 odd numbers is ?
0general
a tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume . if 5,500 gallons of water evaporate from the tank , the remaining solution will be approximately what percent sodium chloride ?
2gain
4 , 25,49 , 121,169 , 289,361 ,
0general
a larger cube has 8 cubic inch as a volume and in the cube there are 8 smaller cubes such that their volume is 1 cubic inch . what is the difference between the surface areas ’ sum of the 8 smaller cubes and the surface area of the larger cube , in square inch ?
3geometry
the distance from steve ' s house to work is 20 km . on the way back steve drives twice as fast as he did on the way to work . altogether , steve is spending 6 hours a day on the roads . what is steve ' s speed on the way back from work ?
1physics
a and b can do a piece of work in 4 days . with the help of c they finish the work in 3 days . c alone can do that piece of work in ?
1physics
in a garden , there are 10 rows and 16 columns of mango trees . the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is
1physics
on a certain date , pat invested $ 9,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 10 years will be $ 36,000 , in how many years total will the total value of the investment plus interest increase to $ 72,000 ?
0general
30 pens and 75 pencils were purchased for 510 . if the average price of a pencil was 2.00 , find the average price of a pen .
0general
a rectangular carpet has an area of 60 sq . m . if its diagonal and longer side together equal 5 times the shorter side , the length of the carpet is :
3geometry
a train is 357 meter long is running at a speed of 42 km / hour . in what time will it pass a bridge of 137 meter length ?
1physics
a paint store mixes 3 / 4 pint of red paint and 2 / 3 pint of white paint to make a new paint color called perfect pink . how many pints of red paint would be needed to make 34 pints of perfect pink paint ?
0general
in a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 48 inches and the width is 72 inches . what is the volume of the cube in cubic feet is 1 feet is 12 inches ?
3geometry
the value of ( 0.137 + 0.098 ) Β² - ( 0.137 - 0.098 ) Β² / 0.137 Γ— 0.098 is
0general
a grocer has a sale of rs . 6435 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6900 ?
0general
mahesh marks an article 15 % above the cost price of rs . 540 . what must be his discount percentage if he sells it at rs . 457 ?
2gain
a cheese factory sells its cheese in rectangular blocks . a normal block has a volume of 8 cubic feet . if a small block has half the width , half the depth , and half the length of a normal block , what is the volume of cheese in a small block in cubic feet ?
3geometry
boy sells a book for rs . 450 he gets a loss of 10 % , to gain 10 % , at price he should sell ?
2gain
how many seconds does sandy take to cover a distance of 700 meters , if sandy runs at a speed of 18 km / hr ?
1physics
5358 x 51 = ?
0general
a company purchased raw material worth 1 / 4 of it capital , 1 / 10 of the remaining is spent on machinery . how much fraction of the capital was left with the company after its expenditures on raw material and machinery ?
0general
if x = y = 2 z and xyz = 256 then what is the value of x ?
0general
danny is sitting on a rectangular box . the area of the front face of the box is half the area of the top face , and the area of the top face is 1.5 times the area of the side face . if the volume of the box is 5184 , what is the area of the side face of the box ?
3geometry