Problem stringlengths 5 967 | category class label 6
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two numbers n and 12 have lcm = 48 and gcf = 8 . find n . | 1physics |
in a hostel , the number of students decreased by 9 % and the price of food increased by 20 % over the previous year . if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student , so that the total cost of the food remains the same as that of the previous year ? | 0general |
a company produces on an average 4000 items per month for the first 3 months . how many items it must produce on an average per month over the next 9 months , to average of 4375 items per month over the whole ? | 0general |
pat , kate and mark charged a total of 144 hours to a certain project . if pat charged twice as much time to the project as kate and 1 / 3 as much times as mark , how many more hours did mark charge to the project than kate . | 0general |
69 laboratories raise the bacterium , the laboratory have 48 culture dishes on average , which has about 25,075 bacteria each . how many bacteria are there approximately ? | 0general |
divide $ 5000 among x , y in the ratio 2 : 8 . how many $ that x get ? | 0general |
a teacher gave the same test to 3 history classes : u , b , and c . the average ( arithmetic mean ) scores for the 3 classes were 65 , 80 , and 77 , respectively . the ratio of the numbers of students in each class who took the test was 4 to 6 to 5 , respectively . what was the average score for the 3 classes combined ? | 0general |
a cube of edge 15 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ? | 3geometry |
how many positive integers less than 28 are prime numbers , odd multiples of 5 , or the sum of a positive multiple of 2 and a positive multiple of 4 ? | 0general |
what are the last two digits of 63 * 35 * 37 * 82 * 71 * 41 * 53 ? | 0general |
in n is a positive integer less than 200 , and 27 n / 60 is an integer , then n has how many different positive prime factors ? | 0general |
the ratio of the adjacent angles of a parallelogram is 5 : 10 . also , the ratio of the angles of quadrilateral is 5 : 6 : 7 : 12 . what is the sum of the smaller angle of the parallelogram and the second largest angle of the quadrilateral ? | 5other |
the population of a city increases by 5 % per year but due to migration it decrease by 1 % per years . what will be the percentage increase in population in 3 years ? | 0general |
the sum of the present age of henry and jill is 33 . what is their present ages if 6 years ago henry was twice the age of jill ? | 0general |
in a division sum , the remainder is 5 and the divisor is 3 times the quotient and is obtained by adding 3 to the thrice of the remainder . the dividend is : | 0general |
what is the sum of the multiples of 4 between 34 and 135 inclusive ? | 0general |
a train sets off at 9 : 00 am at the speed of 70 km / h . another train starts at 9 : 30 am in the same direction at the rate of 80 km / h . at what time will the second train catch the first train ? | 1physics |
the area of a rectangular plot is 21 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? | 3geometry |
a man took a loan at rate of 12 % per annum simple interest . after 3 years he had to pay 3600 interest . the principal amount borrowed by him was . | 2gain |
a , b and c started a business with a total investment of rs . 72000 . a invests rs . 6000 more than b and b invests rs . 3000 less than c . if the total profit at the end of a year is rs . 8640 , find c ' s share . | 0general |
( 3 x + 2 ) ( 2 x - 3 ) = ax ^ 2 + kx + n . what is the value of a - n + k ? | 0general |
a vendor sells 50 percent of the apples he had and throws away 20 percent of the remainder . the next day , the vendor sells 50 percent of the remaining apples and throws away the rest . in total , what percent of his apples does the vendor throw away ? | 0general |
a can do a piece of work in 12 days and b alone can do it in 14 days . how much time will both take to finish the work ? | 1physics |
a jar full of whisky contains 40 % alcohol . a part of this whisky is replaced by another containg 19 % alcohol and now the percentage of alcohol was found to be 26 % . what quantity of whisky is replaced ? | 2gain |
two numbers are in the ratio 3 : 4 . if their l . c . m . is 96 . what is sum of the numbers ? | 5other |
x ^ y + y ^ x = 2408 find the values of x ? | 0general |
the speed of a boat in still water in 20 km / hr and the rate of current is 6 km / hr . the distance travelled downstream in 12 minutes is : | 1physics |
15 litres of mixture contains 20 % alcohol and the rest water . if 5 litres of water be mixed with it , the percentage of alcohol in the new mixture would be ? | 2gain |
alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1111 . find the cost of each ice - cream cup ? | 0general |
the average of 3 numbers is 48 . the average of two of these numbers is 56 % . what is the third number ? | 0general |
by selling an article for $ 180 , a person gains $ 30 . what is the gain % ? | 2gain |
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 2 litres from vessel p is mixed with 6 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? | 5other |
what is 2 / 5 of 5 / 9 of 1 / 2 ? | 0general |
john completes a piece of work in 10 days , rose completes the same work in 40 days . if both of them work together , then the number of days required to complete the work is ? | 1physics |
at a time a , do 20 % less work than b . if a do any work in 15 / 2 hour , then in how many hour b will finish work ? | 1physics |
worker a takes 8 hours to do a job . worker b takes 10 hours to do the same job . how long it take both a & b , working together but independently , to do the same job ? | 1physics |
if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units z digit of ( a + 2 ) ^ 2 ? | 0general |
106 ã — 106 + 94 ã — 94 = ? | 0general |
in an office , totally there are 6400 employees and 65 % of the total employees are males . 25 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ? | 0general |
the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 75 percent of a , and m equals b decreased by 80 percent of b , what is the value of m / x ? | 0general |
9 . the least number which should be added to 28523 so that the sum is exactly divisible by 3 , 5 , 7 and 8 is | 0general |
find the value of ( 75983 * 75983 - 45983 * 45983 / 30000 ) | 0general |
what is the value of 10 ^ 6 - 6 ^ 4 ? | 0general |
the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 1250 resolutions ? | 1physics |
a man gains 20 % by selling an article for a certain price . if the sells it at double the price , the percentage of profit will be | 2gain |
the salary of a worker is first increased by 10 % and afterwards reduced by 10 % . what is the net change in the worker ' s salary ? | 2gain |
alok ordered 16 chapatis , 5 plates of rice , 7 plates of mixed vegetable and 6 ice - cream cups . the cost of each chapati is rs . 6 , that of each plate of rice is rs . 45 and that of mixed vegetable is rs . 70 . the amount that alok paid the cashier was rs . 1051 . find the cost of each ice - cream cup ? | 0general |
the cost of painting the 4 walls of a room is rs . 350 . the cost of painting a room 3 times in length , breadth and height will be : | 0general |
a number is doubled and 5 is added . if the resultant is trebled , it becomes 123 . what is that number ? | 0general |
a certain number when divided by 899 leaves the remainder 63 . find the remainder when the same number is divided by 29 . | 0general |
kelsey travelled for 10 hours . he covered the first half of the distance at 25 kmph and remaining half of the distance at 40 kmph . find the distance travelled by kelsey ? | 1physics |
a gambler has won 40 % of his 30 poker games for the week so far . if , all of a sudden , his luck changes and he begins winning 80 % of the time , how many more games must he play to end up winning 60 % of all his games for the week ? | 2gain |
lola has $ 240.00 in her checking account . she spent $ 180.00 . what percentage does she have left in her account ? | 2gain |
the length of the rectangular field is double its width . inside the field there is square shaped pond 5 m long . if the area of the pond is 1 / 8 of the area of the field . what is the length of the field ? | 3geometry |
if the length of a rectangle is halved and its breadth is tripled , what is the percentage change in its area ? | 3geometry |
the owner of a furniture shop charges his customer 24 % more than the cost price . if a customer paid rs . 8587 for a computer table , then what was the cost price of the computer table ? | 2gain |
a train covers a distance of 100 km in 1 hour . if its speed is decreased by 25 km / hr , the time taken by the car to cover the same distance will be ? | 1physics |
how many positive integers less than 600 can be formed using the numbers 1 , 2 , 3 and 5 for the digits ? | 4probability |
in a certain state , the ratio of registered republicans to registered democrats is 3 to 2 , and every registered voter is either a republican or a democrat . if 90 percent of the republicans and 15 percent of the democrats are expected to vote for candidate x , and everyone else is expected to vote for candidate y , by what percent is candidate x expected to win the election ? | 5other |
a man can row downstream at 22 kmph and upstream at 10 kmph . find the speed of the man in still water and the speed of stream respectively ? | 1physics |
if | 7 x + 2 | = 16 , then find the product of the values of x ? | 0general |
the cost of an article is decreased by 15 % . if the original cost is $ 80 , find the decrease cost . | 2gain |
sandy bought 65 books for $ 1280 from one shop and 55 books for $ 880 from another shop . what is the average price that sandy paid per book ? | 0general |
a fruit seller had some apples . he sells 35 % and still has 6500 apples . originally , he had ? | 2gain |
each of the integers from 0 to 8 , inclusive , is written on a separate slip of blank paper and the 10 slips are dropped into hat . if the slips are then drawn one at a time without replacement , how many must be drawn to ensure that the numbers on two of the slips drawn will have a sum of 10 ? | 2gain |
at 15 : 00 there were 20 students in the computer lab . at 15 : 03 and every three minutes after that , 3 students entered the lab . if at 15 : 10 and every ten minutes after that 7 students left the lab , how many students were in the computer lab at 15 : 44 ? | 1physics |
an ore contains 25 % of an alloy that has 90 % iron . other than this , in the remaining 75 % of the ore , there is no iron . how many kilograms of the ore are needed to obtain 60 kg of pure iron ? | 5other |
how many integers are between 5 and 74 / 5 , inclusive ? | 0general |
find large number from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 8 as quotient and the 15 as remainder | 0general |
a is the average ( arithmetic mean ) of the first 7 positive multiples of 6 and b is the median of the first 3 positive multiples of positive integer n . if the value of a ^ 2 – b ^ 2 is zero , what is the value of n ? | 0general |
cereal a is 11 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 3 % sugar , what should be the ratio of cereal a to cereal b , by weight ? | 0general |
in a class of 20 students , 2 students did not borrow any books from the library , 10 students each borrowed 1 book , 5 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ? | 0general |
a marching band of 240 musicians are to march in a rectangular formation with s rows of exactly t musicians each . there can be no less than 8 musicians per row and no more than 30 musicians per row . how many different rectangular formations g are possible ? | 0general |
the reciprocal of the hcf and lcm of two are 1 / 15 and 1 / 312 . if one of the number is 24 then other no . is | 1physics |
x and y start a business with rs . 3000 and rs . 6000 respectively . hoe should they share their profits at the end of one year ? | 2gain |
in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 60 liters and they are all empty , how much money total will it cost to fuel all cars ? | 0general |
set x consists of 10 integers and has median of 10 and a range of 10 . what is the value of the greatest possible integer that can be present in the set ? | 0general |
a boy is traveling from his house to school at 3 km / hr and reached school 9 minutes late . next day he traveled 4 km / hr and reached 6 minutes early . then find the distance between house and school ? | 1physics |
a student chose a number , multiplied it by 2 , then subtracted 140 from the result and got 102 . what was the number he chose ? | 0general |
a can do a work in 15 days and b in 20 days . if they work on it together for 6 days , then the fraction of the work that is left is | 1physics |
a certain quantity is measured on two different scales , the p - scale and the s - scale , that are related linearly . measurements on the p - scale of 6 and 24 correspond to measurements on the s - scale of 30 and 60 , respectively . what measurement on the p - scale corresponds to a measurement of 100 on the s - scale ? | 0general |
set a contains all the even numbers between 2 and 50 inclusive . set b contains all the even numbers between 102 and 150 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ? | 0general |
a whale goes on a feeding frenzy that lasts for 12 hours . for the first hour he catches and eats 30 kilos of plankton . in every hour after the first , it consumes 2 kilos of plankton more than it consumed in the previous hour . if by the end of the frenzy the whale will have consumed a whopping accumulated total 600 kilos of plankton , how many kilos did he consume on the 10 th hour ? | 0general |
the average age of 19 students in a group is 17 years . when teacher ’ s age is included to it , the average increases by one . what is the teacher ’ s age in years ? | 0general |
machine x takes 10 hours longer than machine y to produce 1080 widgets . machine y produces 20 percent more widgets in an hour than machine x does in an hour . how many widgets per hour does machine x produce | 0general |
a train is running at a speed of 40 km / hr and it crosses a post in 16.2 seconds . what is the length of the train ? | 1physics |
a fashion designer sold a pair of jeans to a retail store for 40 percent more than it cost to manufacture the pair of jeans . a customer bought the pair of jeans for 30 percent more than the retailer paid for them . the price the customer paid was what percent greater than the cost of manufacturing the jeans ? | 2gain |
if 4 % more is gained by selling an article for rs . 350 than by selling it for rs . 340 , the cost of the article is | 2gain |
on increasing the price of t . v . sets by 50 % , their sale decreases by 20 % . what is the effect on the revenue receipts of the shop ? | 2gain |
p software has coding line 5 % more than n , n software has coding line 4 / 13 more than m . m software has 78 lines of coding . find p lines . | 0general |
a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 1600 . the difference between the profit shares of a and c is ? | 2gain |
machine a can finish a job in 4 hours , machine в can finish the job in 12 hours , and machine с can finish the job in 6 hours . how many hours will it take for a , b , and с together to finish the job ? | 1physics |
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 720 sq . feet , how many feet of fencing will be required ? | 3geometry |
positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 4 . what is the value of x ? | 0general |
walking with 3 / 5 of my usual speed , i miss the bus by 5 minutes . what is my usual time ? | 1physics |
[ ( 3.241 x 14 ) / 100 ] = ? | 0general |
a person borrows rs . 4000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year . | 2gain |
365 : 90 : : 623 : ? | 0general |
the volumes of two cones are in the ratio 1 : 20 and the radii of the cones are in the ratio of 1 : 2 . what is the length of the wire ? | 3geometry |
let p and q be the root of the quadratic equation x 2 - ( ∝ - 2 ) x - ∝ - 1 = 0 . what is the minimum possible value of p 2 + q 2 ? | 0general |
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