Problem stringlengths 5 967 | category class label 6
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how many positive integers less than 248 are multiple of 4 but not multiples of 6 ? | 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 210 sq . feet , how many feet of fencing will be required ? | 3geometry |
in the coordinate plane a slope of the line k is 4 times the x - intercept of the line k . what is the y - intercept of the line k ? | 0general |
find the smallest four - digit number which is a multiple of 112 . | 0general |
the difference between the place values of two sevens in the numerical 69758472 is | 0general |
a set s = { x , - 8 , - 5 , - 3 , 3 , 6 , 9 , y } with elements arranged in increasing order . if the median and the mean of the set are the same , what is the value of | x | - | y | ? | 0general |
the market value of a certain machine decreased by 30 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 10,000 , what was its market value two years later ? | 2gain |
the value of log 2 16 is | 5other |
dividing by 3 ⁄ 7 and then multiplying by 5 ⁄ 6 is the same as dividing by what number ? | 0general |
the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 13 . if p invested the money for 5 months , find for how much time did q invest the money ? | 2gain |
excluding stoppages , the speed of a bus is 50 kmph and including stoppages , it is 45 kmph . for how many minutes does the bus stop per hour ? | 1physics |
by selling 16 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ? | 2gain |
the ratio of spinsters to cats is 2 to 9 . if there are 42 more cats than spinsters , how many spinsters are there ? | 5other |
find the smallest number in a gp whose sum is 38 and product 1728 | 0general |
what no . should be subtracted from x ^ 3 + 4 x 2 − 7 x + 12 x ^ 3 + 4 x ^ 2 − 7 x + 12 , if it is to be perfectly divisible by x + 3 x + 3 ? | 0general |
76 is divided into two parts in such a way that seventh part of first and ninth part of second are equal . find the smallest part ? | 0general |
in a division sum , the quotient is 40 , the divisor 72 and the remainder 64 , find the dividend ? | 0general |
a store sells chairs and tables . if the price of 3 chairs and 1 table is 60 % of the price of 1 chair and 3 tables , and the price of 1 table and 1 chair is $ 80 , what is the price , in dollars , of 1 table ? ( assume that every chair has the same price and every table has the same price . ) | 2gain |
the probability that a man will be alive for 10 more yrs is 1 / 4 & the probability that his wife will alive for 10 more yrs is 1 / 3 . the probability that none of them will be alive for 10 more yrs , is | 0general |
how many positive even integers less than 100 contain digits 4 or 7 ? | 0general |
a car traveled from san diego to san francisco at an average speed of 48 miles per hour . if the journey back took twice as long , what was the average speed of the trip ? | 1physics |
amount of bacteria present time amount 1 : 00 p . m . 8.0 grams 4 : 00 p . m . x grams 7 : 00 p . m . 12.4 grams data for a certain biology experiment are given in the table above . if the amount of bacteria present increased by the same fraction during each of the two 3 - hour periods shown , how many grams of bacteria were present at 4 : 00 p . m . ? | 0general |
find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.60 a kg to produce a mixture worth rs . 6.30 a kg ? | 5other |
i bought two books ; for rs . 300 . 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 ? | 2gain |
p works 25 % more efficiently than q and q works 50 % more efficiently than r . to complete a certain project , p alone takes 50 days less than q alone . if , in this project p alone works for 60 days and then q alone works for 130 days , in how many days can r alone complete the remaining work ? | 1physics |
a confectioner decides to sell all of his pastry due to the coming holiday . his pastry goods are equally divided among a group of 15 regular customers . if only 49 customers come to the bakery , each one will receive 6 less pastry goods . how much pastry does the confectioner needs to sell ? | 0general |
for any integer p , * p is equal to the product of all the integers between 1 and p , inclusive . how many prime numbers are there between * 8 + 3 and * 8 + 8 , inclusive ? | 0general |
the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each . the radius of the sphere is : | 3geometry |
during the first week of performances of a certain play , 5400 tickets were sold , all at reduced price . during the remaining weeks of performances , 5 times as many tickets were sold at full price as were sold at reduced price . if the total number of tickets e sold was 25200 , how many of them were sold at full price ? | 0general |
a cricket bat is sold for $ 900 , making a profit of $ 100 . the profit percentage would be | 2gain |
a train passes a man standing on a platform in 8 seconds and also crosses the platform which is 279 metres long in 20 seconds . the length of the train ( in metres ) is : | 1physics |
mary ' s income is 60 % more than tim ' s income and tim ' s income is 10 % less than juan ' s income . what % of juan ' s income is mary ' s income . | 0general |
let s be the set of all positive integers that , when divided by 8 , have a remainder of 5 . what is the 75 th number in this set ? | 0general |
the perimeter of a square is equal to the radius of a circle having area 39424 sq cm , what is the area of square ? | 3geometry |
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 , 65 percent of books that were loaned out are returned and there are 54 books in the special collection at that time , how many books of the special collection were loaned out during that month ? | 2gain |
rs . 1500 is divided into two parts such that if one part is invested at 6 % and the other at 5 % the whole annual interest from both the sum is rs . 86 . how much was lent at 5 % ? | 2gain |
what is the smallest no . that should be added to 236 to make it exactly divisible by 9 ? | 0general |
each of the positive integers a , b , and c is a 3 - digit integer . if each of the digits 1 through 9 appears in one of these 3 integers , what is the maximum possible value of the sum of a , b , and c ? | 0general |
the profits of qrs company rose 50 % from march to april , then dropped 20 % from april to may , then rose 50 % from may to june . what was the percent increase for the whole quarter , from march to june ? | 2gain |
a certain bag contains 100 balls â € ” 20 white , 30 green , 10 yellow , 37 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? | 5other |
what is the next number : 2 , 17 , 257 , __ | 0general |
calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 15 % and its breadth is decreased by 10 % ? | 3geometry |
in order to obtain an income of rs . 450 from 10 % stock at rs . 108 , one must make an investment of | 2gain |
in a ratio which is equal to 4 : 6 , if the antecedent is 20 , then the consequent is ? | 5other |
the area of a rectangular plot is 20 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? | 3geometry |
78654 * 9999 | 0general |
the weight of a glass of jar is 40 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ? | 2gain |
one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund . if he has rs . 1 , 75,000 as total savings , how much has he saved in public provident fund ? | 0general |
how many positive integers less than 120 are there such that they are multiples of 13 or multiples of 12 but not both ? | 0general |
a rectangular metallic piece of paper that covers exactly the area of a cube . the length of the piece of paper is 96 inches and the width is 72 inches . what is the volume of the cube in cubic feet is 1 feet is 12 inches ? | 3geometry |
if the operation € is defined for all x and y by the equation x € y = 2 * x * y , then 9 € ( 4 € 5 ) = | 0general |
jack and jill are marathon runners . jack can finish a marathon ( 43 km ) in 4.5 hours and jill can run a marathon in 4.3 hours . what is the ratio of their average running speed ? ( jack : jill ) | 1physics |
two pipes a and b can fill a tank in 6 and 12 minutes respectively . if both the pipes are used together , then how long will it take to fill the tank ? | 1physics |
if a no . when divided by 44 , gives 432 as quotient and 0 as remainder . what will be the remainder when dividing the same no . by 34 | 0general |
a car traveled 420 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 6 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ? | 1physics |
65 bags of nuts are to be divided among 13 students . each bag contains 15 nuts . how many nuts will each student receive ? | 0general |
if x = 1 - 4 t and y = 2 t - 2 , then for what value of t does x = y ? | 0general |
the sum of two numbers is 528 and their h . c . f is 33 . the number of pairs of numbers satisfying the above conditions is : | 0general |
what is the last digit in ( 7 ^ 95 - 3 ^ 58 ) ? | 0general |
how many cuboids of length 5 m , width 4 m and height 3 m can be farmed from a cuboid of 16 m length , 10 m width and 12 m height . | 1physics |
one night 10 percent of the female officers on a police force were on duty . if 200 officers were on duty that night and half of these were female officers , how many female officers were on the police force ? | 2gain |
a furniture dealer purchased a desk for $ 140 and then set the selling price equal to the purchase price plus a markup that was 30 % 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 ? | 2gain |
find 96 × × 97 | 0general |
of 3 numbers , the third is twice the first and the second is 4 times the first . if their average is 77 , the smallest of the 3 numbers is : | 0general |
the slant height of a cone is 21 cm and radius of the base is 10 cm , find the curved surface of the cone . | 3geometry |
a store reported total sales of $ 400 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase in sales ? | 0general |
two interconnected , circular gears travel at the same circumferential rate . if gear a has a diameter of 20 centimeters and gear b has a diameter of 50 centimeters , what is the ratio of the number of revolutions that gear a makes per minute to the number of revolutions that gear b makes per minute ? | 1physics |
in a company , 56 percent of the employees are men . if 60 percent of the employees are unionized and 70 percent of these are men , what percent of the non - union employees are women ? | 2gain |
in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 15 and the other one , that is cheaper , costs $ 10 . the factory holds a $ 140 worth stock of 13 modules . how many of the modules in the stock are of the cheaper kind ? | 5other |
in a two digit number it is known that its unit ' s digit exceeds its 10 ' s digit by 4 and that the product of the given number and the sum of its digits is equal to 208 , what is the number ? | 0general |
if a fills a tank in 30 mins , and b fills the same tank in 20 mins , and c emptys it in 40 min , if a , b , c works together how much time will the tank take to fill ? | 1physics |
an article is bought for rs . 560 and sold for rs . 340 , find the loss percent ? | 2gain |
jennifer had $ 180 to spend on herself . she spent 1 / 5 of the money on a sandwich , 1 / 6 for a ticket to a museum , and 1 / 2 of it on a book . how much money does jennifer have left over ? | 0general |
a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 12 miles per gallon , and from town b to town c , the car averaged 16 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ? | 0general |
the greater of two numbers is twice the less , and the sum of the numbers is 96 . what are the numbers ? | 0general |
pipe p can fill a tank in 3 hours , pipe q in 9 hours and pipe r in 24 hours . if all the pipes are open , in how many hours will the tank be filled ? | 1physics |
a boatman goes 2 km against the current of the stream in 1 hour and goes 1 km along the current in 10 minutes . how long will it take to go 8 km in stationary water ? | 1physics |
one woman and one man can build a wall together in five hours , but the woman would need the help of two girls in order to complete the same job in the same amount of time . if one man and one girl worked together , it would take them nine hours to build the wall . assuming that rates for men , women and girls remain constant , how many hours would it take one woman , one man , and one girl , working together , to build the wall ? | 1physics |
a trader sells 40 metres of cloth for rs . 8200 at a profit of rs . 35 per metre of cloth . how much profit will the trder earn on 40 metres of cloth ? | 2gain |
a reduction of 25 % in the price of apples would enable a man to obtain 36 more for rs . 25 , what is reduced price per dozen ? | 2gain |
the ratio between the present age of p and q is 6 : 7 . if q is 4 years old than p , what will be the ratio of the ages of p and q after 4 years ? | 5other |
what is the greatest value of positive integer x such that 2 ^ x is a factor of 100 ^ 60 ? | 0general |
if both 5 ^ 3 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ^ 2 ) , what is the smallest possible positive value of n ? | 5other |
in one hour , a boat goes 8 km along the stream and 2 km against the stream . the speed of the boat in still water ( in km / hr ) is : | 1physics |
the sale price sarees listed for rs . 200 after successive discount is 20 % and 10 % is ? | 2gain |
sandy is younger than molly by 20 years . if the ratio of their ages is 7 : 9 , how old is sandy ? | 5other |
5 times a number equals one 100 . the number is | 0general |
the manufacturing cost of a shoe is rs . 200 and the transportation lost is rs . 500 for 100 shoes . what will be the selling price if it is sold at 20 % gains | 2gain |
find the compound interest on $ 10,000 in 2 years at 4 % per annum , the interest being compounded half - yearly | 2gain |
in how many years will a sum of money doubles itself at 30 % per annum on simple interest ? | 2gain |
a tank is 25 m long 12 m wide and 6 m deep . the cost of plastering its walls and bottom at 25 paise per sq m is | 1physics |
a collection of books went on sale , and 2 / 3 of them were sold for $ 2.00 each . if none of the 36 remaining books were sold , what was the total amount received for the books that were sold ? | 0general |
in some quantity of ghee , 50 % is pure ghee and 50 % is vanaspati . if 20 kg of pure ghee is added , then the strength of vanaspati ghee becomes 30 % . the original quantity was ? | 2gain |
the roof of an apartment building is rectangular and its length is 4 times longer than its width . if the area of the roof is 1024 feet squared , what is the difference between the length and the width of the roof ? | 3geometry |
at what price must an article costing rs . 38 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ? | 2gain |
if the given two numbers are respectively 6 % and 18 % of a third number , then what percentage is the first of the second ? | 2gain |
a 4 % stock yield 5 % . the market value of the stock is ? | 2gain |
a train is 288 meter long is running at a speed of 29 km / hour . in what time will it pass a bridge of 101 meter length ? | 1physics |
rani bought more apples than oranges . she sells apples at ₹ 23 apiece and makes 15 % profit . she sells oranges at ₹ 10 apiece and makes 25 % profit . if she gets ₹ 653 after selling all the apples and oranges , find her profit percentage c . | 2gain |
john had a stock of 1100 books in his bookshop . he sold 75 on monday , 50 on tuesday , 64 on wednesday , 78 on thursday and 135 on friday . what percentage of the books were not sold ? | 2gain |
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