Problem stringlengths 5 967 | category class label 6
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30 is subtracted from 40 % of a number , the result is 50 . find the number ? | 2gain |
calculate how many days it will take for 5 boys to paint a 65 m long wall if 2 boys can paint a 40 m long wall in 4 days , | 1physics |
if a - b = 3 and a 2 + b 2 = 29 , find the value of ab ? | 0general |
mary invested a certain sum of money in a bank that paid simple interest . the amount grew to $ 260 at the end of 2 years . she waited for another 4 years and got a final amount of $ 380 . what was the principal amount that she invested at the beginning ? | 2gain |
pipe a can fill a tank in 32 minutes . pipe b can fill the same tank 5 times faster than pipe a . if both the pipes are connected to the tank so that they fill the tank simultaneously , how long will it take for the empty tank to overflow ? | 1physics |
one side of a rectangular field is 4 m and its length along diagonal is 5 m . what is the area of the field ? | 3geometry |
a taxi company charges $ 1.85 for the first quarter of a mile and fifteen cents for each additional quarter of a mile . what is the maximum distance someone could travel with $ 4.90 ? | 1physics |
the speed of a train is 64 kmph . what is the distance covered by it in 9 minutes ? | 1physics |
if it is a 3 x 3 matrix , for which elements in first row are ( v , 50 , w ) , second row ( 196 , x , y ) and in third row are ( 269 , z , 123 ) . it is given that the sum of the numbers in each row , column , diagonal are same . then find the value of ( y + z ) . | 0general |
in an examination 35 % of the students passed and 455 failed . how many students appeared for the examination ? | 2gain |
a bag contains an equal number of one rupee , 50 paise and 25 paise coins respectively . if the total value is 140 , how many coins of each type are there ? | 0general |
a 80 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ? | 0general |
what least value should be replaced by * in 223431 * so the number become divisible by 5 | 0general |
the average height of 35 boys in a class was calculated as 184 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ? | 0general |
a certain country had a total annual expenditure of $ 2.4 x 10 ^ 11 last year . if the population of the country was 240 million last year , what was the per capita expenditure ? | 0general |
there were two candidates in an election . winner candidate received 62 % of votes and won the election by 336 votes . find the number of votes casted to the winning candidate ? | 2gain |
a train running at the speed of 60 km / hr crosses a pole in 3 seconds . what is the length of the train ? | 1physics |
two positive integers differ by 4 , and sum of their reciprocals is 5 then one of the numbers is | 0general |
jennifer had $ 90 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 |
the surface of a cube is 24 sq cm . find its volume ? | 3geometry |
in one hour , a boat goes 11 km along the stream and 5 km against it . find the speed of the boat in still water | 1physics |
how long does a train 145 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length ? | 1physics |
in a group of ducks and cows , the total number of legs are 36 more than twice the no . of heads . find the total no . of buffaloes . | 0general |
in town x , 60 percent of the population are employed , and 48 percent of the population are employed males . what percent of the employed people in town x are females ? | 2gain |
what is the remainder when 1273 * 1275 * 1277 * 1285 is divided by 12 ? | 0general |
find large number from below question the difference of two numbers is 1335 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder | 0general |
in a sample of college students , 20 percent are third year students and 80 percent are not second - year students . what fraction of those students who are not third - year students are second - year students ? | 2gain |
what is the product of all the possible values of x if x ^ 2 - 9 x + 20 ? | 0general |
in a group of ducks and cows , the total number of legs are 28 more than twice the number of heads . find the total number of cows . | 0general |
a dog takes 3 leaps for every 8 leaps of a hare . if one leap of the dog is equal to 3 leaps of the hare , the ratio of the speed of the dog to that of the hare is : | 5other |
a certain no . when divided by 50 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ? | 0general |
a retailer bought a coat at wholesale and marked it up 90 % to its initial price of $ 76 . by how many more dollars does he need to increase the price to achieve a 100 % markup ? | 0general |
if bat = 58 hat = 52 cat = 57 then whats rat = ? | 0general |
( 700 + 200 ) ã — 4 ã — ( 4 + 2 ) = ? | 0general |
there are 5 chess amateurs playing in villa ' s chess club tournament . if each chess amateur plays with exactly 16 other amateurs , what is the total number of chess games possible to be played in the tournament ? | 0general |
find the highest common factor of 36 and 84 . | 5other |
a basket contains 7 apples , of which 1 is spoiled and the rest are good . if we select 2 apples from the basket simultaneously and at random , what is the probability that the 2 apples selected will include the spoiled apple ? | 4probability |
the cost price of a radio is rs . 1500 and it was sold for rs . 1275 , find the loss % ? | 2gain |
a boat can travel with a speed of 22 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 54 km downstream | 1physics |
the sum of the ages of 5 children born at the intervals of 3 year each is 60 year . what is the age of the eldest child ? | 0general |
the average age of 15 men is increased by years when two of them whose ages are 21 years and 23 years are replaced by two new men . the average age of the two new men is | 0general |
how long does a train 110 m long running at the speed of 90 km / hr takes to cross a bridge 132 m length ? | 1physics |
sum of the numbers from 1 to 29 is | 0general |
20 percent of the programmers in a startup company weigh 200 pounds or more . 20 - 5 percent of the programmers that are under 200 pounds in that same company weigh 100 pounds or less . what percent of the programmers in the startup company weigh between 100 and 200 pounds ? | 0general |
lisa and robert have taken the same number of photos on their school trip . lisa has taken 3 times as many photos as claire and robert has taken 12 more photos than claire . how many photos has claire taken ? | 0general |
a man has rs . 10350 in the form of rs . 50 notes and rs . 500 notes . the total number of notes are 72 . find the number of notes of rs . 50 denomination . | 0general |
mike earns $ 17.5 per hour and phil earns $ 10.5 per hour . approximately how much less , as a percentage , does phil earn than mike per hour ? | 0general |
it takes avery 3 hours to build a brick wall while tom can do it in 5 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ? | 1physics |
a flagpole 18 meters high casts a shadow of length 45 meters . if a building under similar conditions casts a shadow of length 65 meters , what is the height of the building ( in meters ) ? | 1physics |
the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 85 and rs . 75 respectively . the sum is : | 2gain |
of the 13 employees in a certain department , 1 has an annual salary of 38,000 , 2 have an annual salary of 45,700 each , 2 have an annual salary of 42,500 each , 3 have an annual salary of 40,000 each and 5 have an annual salary of 48,500 each . what is the median annual salary for the 13 employees ? | 0general |
a multiple choice test consists of 4 questions , and each question has 5 answer choices . in how many w ways can the test be completed if every question is unanswered ? | 0general |
if 36 men can do a piece of work in 25 hours , in how many hours will 12 men do it ? | 1physics |
in assembling a bluetooth device , a factory uses one of two kinds of modules . one module costs $ 10 and the other one , that is cheaper , costs $ 6 . the factory holds a $ 80 worth stock of 12 modules . how many of the modules in the stock are of the cheaper kind ? | 5other |
what is the value of ( 5 ) ^ - 5 ? | 0general |
rahim bought 40 books for rs . 600 from one shop and 20 books for rs . 240 from another . what is the average price he paid per book ? | 0general |
the salary of a , b , c , d , e is rs . 9000 , rs . 5000 , rs . 11000 , rs . 7000 , rs . 9000 per month respectively , then the average salary of a , b , c , d , and e per month is | 0general |
at a local appliance manufacturing facility , the workers received a 40 % hourly pay raise due to extraordinary performance . if one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged , by approximately what percent would he reduce the number of hours that he work... | 2gain |
a grocer has a sale of rs . 7435 , rs . 7920 , rs . 7855 , rs . 8230 and rs . 7560 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 7500 ? | 0general |
david obtained 96 , 95 , 82 , 97 and 95 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology what are his average marks ? | 0general |
if x = 5 and y = − 2 , what is the value of ( x − 2 y ) ^ y ? | 0general |
the average salary of a person for the months of january , february , march and april is rs . 8000 and that for the months february , march , april and may is rs . 8100 . if his salary for the month of may is rs . 6500 , find his salary for the month of january ? | 0general |
a invested some money in 10 % stock at 96 . if b wants to invest in an equally good 12 % stock , he must purchase a stock worth of : | 2gain |
if 2 x + y = 7 and x + 2 y = 5 , then 7 xy / 3 = ? | 0general |
a watch was sold at a loss of 8 % . if it was sold for rs . 140 more , there would have been a gain of 4 % . what is the cost price ? | 2gain |
a , band c enter into partnership . a invests 3 times as much as b and b invests two - third of what c invests . at the end of the year , the profit earned is rs . 4400 . what is the share of b ? | 2gain |
j is 25 % less than p and 20 % less than t . t is e % less than p . what is the value of e ? | 2gain |
walking at 5 / 6 th of its usual speed a cab is 12 mnts late . find its usual time to cover the journey ? | 1physics |
6 points lie on the circumference of a ellipse . what is the positive difference between the number of triangles and the number of quadrilaterals that can be created by connecting these points ? | 3geometry |
the denominator of a fraction is 1 less than twice the numerator . if the numerator and denominator are both increased by 1 , the fraction becomes 3 / 5 . find the fraction ? | 0general |
set s consists of integers { 13 , 57 } . if two numbers are chosen from set s at random , what is the probability that the product of 2 numbers is more than 15 ? | 0general |
a dealer offers a cash discount of 20 % and still makes a profit of 20 % when he further allows 10 articles to be sold at the cost price of 9 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ? | 2gain |
in a certain warehouse , 40 percent of the packages weigh less than 75 pounds , and a total of 48 packages weigh less than 25 pounds . if 80 percent of the packages weigh at least 25 pounds , how many of the packages weigh at least 25 pounds but less than 75 pounds ? | 0general |
if 0.5 % of a = 95 paise , then the value of a is ? | 2gain |
a company produces 60000 bottles of water everyday . if a case can hold 5 bottles of water . how many cases are required by the company to hold its one day production | 1physics |
cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost e is what percent of the original cost ? | 0general |
if 1 / 12 of the passengers on a ship are from north america , 1 / 4 are europeans , 1 / 9 are from africa , 1 / 6 are from asia and the remaining 42 people are citizens of other continents , then how many passengers are on board the ship ? | 0general |
by selling an article at rs . 500 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ? | 2gain |
a can do a work in 7 days b in 12 days and c in 5 days . if they work on it together then in how many days required to complete the work ? | 1physics |
find a sum for 1 st 5 prime number ' s ? | 0general |
a hiker walking at a constant rate of 5 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 25 kilometers per hour . the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate . how many m... | 1physics |
each employee of company x is a member of precisely 1 of 3 shifts of employees . among the 60 members of the first shift , 20 percent participate in the pension program ; among the 50 members of the second shift , 40 percent participate in the pension program ; and among the 40 members of the third shift , 10 percent p... | 1physics |
a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 60 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have s... | 2gain |
the ratio of the amount of the oil bill for the month of february to the amount of the oil bill for the month of january was 5 : 4 . if the oil bill for february had been $ 30 more , the corresponding ratio would have been 3 : 2 . how much was the oil bill for january ? | 0general |
a driver goes on a trip of 50 kilometers , the first 25 kilometers at 66 kilometers per hour and the remaining distance at 33 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ? | 1physics |
a hollow spherical metallic ball has an external diameter 6 cm and is 1 / 2 cm thick . the volume of metal used in the metal is : | 1physics |
if a book is sold at 6 % profit instead of 6 % loss , it would have brought rs 15 more . find out the cost price of the book | 2gain |
at what rate percent per annum will a sum of money double in 10 years ? | 2gain |
the average of 9 observations was 5 , that of the 1 st of 5 being 10 and that of the last 5 being 8 . what was the 5 th observation ? | 0general |
a certain company expects quarterly earnings of $ 0.80 per share of stock , half of which will be distributed as dividends to shareholders while the rest will be used for research and development . if earnings are greater than expected , shareholders will receive an additional $ 0.04 per share for each additional $ 0.1... | 0general |
in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 10 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ? | 2gain |
bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 60 white marbles . how many red marbles could be in bag a ? | 5other |
if the areas of the three adjacent faces of a cuboidal box are 120 cm ² , 72 cm ² and 60 cm ² respectively , then find the volume of the box . | 3geometry |
solution a is 20 % barium and solution b is 80 % barium . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % barium solution ? | 5other |
a cyclist bikes x distance at 12 miles per hour and returns over the same path at 8 miles per hour . what is the cyclist ' s average rate for the round trip in miles per hour ? | 1physics |
in a certain city , 60 percent of the registered voters are democrats and the rest are republicans . in a mayoral race , if 85 percent of the registered voters who are democrats and 20 percent of the registered voters who are republicans are expected to vote for candidate a , what percent of the registered voters are e... | 2gain |
while driving from a - ville to b - town , harriet drove at a constant speed of 100 kilometers per hour . upon arriving in b - town , harriet immediately turned and drove back to a - ville at a constant speed of 150 kilometers per hour . if the entire trip took 5 hours , how many minutes did it take harriet to drive fr... | 1physics |
find the value for x from below equation : x / 3 = - 7 ? | 0general |
at a speed of 50 miles per hour , a certain car uses 1 gallon of gasoline every 30 miles . if the car starts with a full 15 gallon tank of gasoline and travels for 5 hours at 50 miles per hour , the amount of gasoline used would be what fraction of a full tank ? | 1physics |
robert ate 13 chocolates , nickel ate 4 chocolates . how many more chocolates did robert ate than nickel ? | 0general |
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