Problem stringlengths 5 967 | category class label 6
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a pharmaceutical company received $ 3 million in royalties on the first $ 20 million in sales of and then $ 9 million in royalties on the next $ 102 million in sales . by approximately what percentage did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 102 million in sales ? | 0general |
the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 55 , then how long is the base of isosceles triangle ? | 3geometry |
one fourth of one third of two fifth of a number is 10 . what will be 40 % of that number | 2gain |
in the number 11,0 ab , a and b represent the tens and units digits , respectively . if 11,0 ab is divisible by 52 , what is the greatest possible value of b × a ? | 0general |
find the average of first 8 multiples of 5 ? | 0general |
a luxury liner , queen marry ii , is transporting several cats as well as the crew ( sailors , a cook , and one - legged captain ) to a nearby port . altogether , these passengers have 16 heads and 45 legs . how many cats does the ship host ? | 0general |
how many 1 x 1 x 1 cubes can you fit in a 15 x 16 x 13 box ? | 3geometry |
the lcm of two numbers is 2310 and hcf is 83 . if one of the numbers is 210 . then what is the other number ? | 1physics |
nhai employs 100 men to build a highway of 2 km in 50 days working 8 hours a day . if in 25 days , they completed 1 / 3 part of work . than how many more employees should nhai hire to finish it in time working 10 hours a day ? | 1physics |
a man is walking at a speed of 6 km per hour . after every km he takes rest for 6 minutes . how much time will he take to cover a distance of 12 km . | 1physics |
what least number must be subtracted from 9671 so that the remaining number is divisible by 2 ? | 0general |
find the value of ( 200 + 200 / 90 ) × 90 | 0general |
mr . loyd wants to fence his square shaped land of 130 sqft each side . if a pole is laid every 10 ft how many poles do he need ? | 3geometry |
a beekeeper has 600000 bees living in 4 beehives . among these beehives , the sizes of the beehives are proportional to the numbers of bees living in them . no beehive has less than 80 % the number of bees of any other beehive . what is the maximum possible number of bees that the greatest beehive could have ? | 0general |
if 36 men can do a piece of work in 25 hours , in how many hours will 10 men do it ? | 1physics |
of the total amount that jill spent on a shopping trip , excluding taxes , she spent 50 percent on clothing , 10 percent on food , and 40 percent on other items . if jill paid a 4 percent tax on the clothing , no tax on the food , and an 8 percent tax on all other items , then the total tax that she paid was what percent of the total amount that she spent , excluding taxes ? | 0general |
if the average ( arithmetic mean ) of 4 x - 5 , 8 x - 6 , and 9 x + 5 is 279 , what is the value of x ? | 0general |
a retailer bought a hat at wholesale and marked it up 70 % to its initial price of $ 34 . by how many more dollars does he need to increase the price to achieve a 100 % markup ? | 0general |
an exam consists of 8 true / false questions . brian forgets to study , so he must guess blindly on each question . if any score above 90 % is a passing grade , what is the probability that brian passes ? | 0general |
a fruit seller had some oranges . he sells 30 % oranges and still has 420 oranges . how many oranges he had originally ? | 2gain |
70 is subtracted from 30 % of a number , the result is 20 . find the number ? | 2gain |
sonika deposited rs . 8000 which amounted to rs . 9200 after 3 years at simple interest . had the interest been 0.5 % more . she would get how much ? | 2gain |
the average of 11 numbers is 60 . out of 11 numbers the average of first 6 no . is 88 , and last 6 numbers is 65 then find 6 th number ? | 0general |
what is the area of a square field whose sides have a length of 13 meters ? | 3geometry |
what is the cp of rs 100 stock at 6 discount , with 1 / 5 % brokerage ? | 2gain |
the edges of cuboid are 4 cm ; 5 cm and 6 cm . find its surface area ? | 3geometry |
x does a work in 15 days . y does the same work in 30 days . in how many days they together will do the same work ? | 1physics |
two trains of equal lengths take 10 sec and 20 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ? | 1physics |
set a contains all the even numbers between 4 and 50 inclusive . set b contains all the even numbers between 104 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 |
for any number y , y * is defined as the greatest positive even integer less than or equal to y . what is the value of 8.2 – 8.2 * ? | 0general |
( 1000 ) 7 ÷ ( 10 ) 20 = ? | 0general |
a number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34 . such a least possible number v is | 0general |
in the hillside summer camp there are 50 children . 80 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 10 % of the total number of children in the camp . how many more boys must she bring to make that happen ? | 0general |
a man invests rs . 8,000 at the rate of 5 % per annum . how much more should he invest at the rate of 8 % , so that he can earn a total of 6 % per annum ? | 2gain |
how many 3 digit odd numbers do not use any digit more than once | 0general |
a sum of 25 was paid for a work which a can do in 32 days , b in 20 days , b and c in 12 days and d in 24 days . how much did c receive if all the 4 work together ? | 1physics |
a room 13 m 47 cm long and 7 m 77 cm broad is to be paved with square tiles . find the least number of square tiles required to cover the floor . | 1physics |
if a number p is prime , and 2 p + 3 = q , where q is also prime , then the decimal expansion of 1 / q will produce a decimal with q - 1 digits . if this method produces a decimal with 166 digits , what is the units digit of the product of p and q ? | 0general |
what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 60 % ? | 3geometry |
the workforce of company x is 60 % female . the company hired 20 additional male workers , and as a result , the percent of female workers dropped to 55 % . how many employees did the company have after hiring the additional male workers ? | 2gain |
if | 20 x - 10 | = 90 , then find the product of the values of x ? | 0general |
two brothers took the gmat exam , the higher score is x and the lower one is y . if the difference between the two scores is 1 / 3 , what is the value of x / y ? | 0general |
let a be the event that a randomly selected two digit number is divisible by 2 and let b be the event that a randomly selected two digit number is divisible by 10 . what is p ( a and b ) ? | 1physics |
in a flight of 600 km , an aircraft was slowed down due to bad weather . its average speed for the trip was reduced by 200 km / hr and the time of flight increased by 30 minutes . the duration of the flight is : | 0general |
a person travels equal distances with speeds of 50 km / hr , 100 km / hr and 120 km / hr and takes a total time of 23 minutes . the total distance is ? | 1physics |
two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 25 hr . if all pipes are opened simultaneously , then the cistern will be filled in | 1physics |
if 5 + 3 + 2 = 151022 , 9 + 2 + 4 = 183652 , then 7 + 2 + 5 = ? | 0general |
the inner circumference of a circle race track 18 m wide is 880 m . find the radius of the outer circle . | 1physics |
4 mat - weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 14 mat - weavers in 14 days ? | 2gain |
find √ ? / 15 = 4 ? | 0general |
if a ( a - 1 ) = 20 and b ( b - 1 ) = 20 , where a ≠b , then a + b = | 0general |
10 % people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 3240 , how much was it in the beginning ? | 0general |
the length of the bridge , which a train 130 meters long and travelling at 45 km / hr can cross in 30 seconds , is ? | 1physics |
a sum of rs . 2743 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ? | 2gain |
tom and john traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour , respectively . after 15 minutes tom passed john , tom reaches a certain gas station , how many t minutes it takes john to reach the station ? | 1physics |
when positive integer n is divided by positive integer j , the remainder is 18 . if n / j = 134.08 , what is value of j ? | 0general |
a can finish a work in 18 days and b can do the same work in 15 days . b worked for 10 days and left the job . in how many days , a alone can finish the remaining work ? | 1physics |
the difference of two numbers is 1375 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder . what is the smaller number ? | 0general |
the population of a town is 7600 . it decreases annually at the rate of 10 % p . a . what was its population 2 years ago ? | 2gain |
the average of first 10 prime numbers which are odd is ? | 0general |
on increasing the price of t . v . sets by 60 % , their sale decreases by 20 % . what is the effect on the revenue receipts of the shop ? | 2gain |
a meal cost $ 35.50 adn there was no tax . if the tip was more than 2 pc but less than 12 pc of the price , then the total amount paid should be : | 0general |
in an office in singapore there are 60 % female employees . 50 % of all the male employees are computer literate . if there are total 62 % employees computer literate out of total 1200 employees , then the no . of female employees who are computer literate ? | 2gain |
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 40 pints of perfect pink paint ? | 0general |
two trains of length 100 m and 200 m are 100 m apart . they start moving towards each other on parallel tracks , at speeds 72 kmph and 90 kmph . in how much time will the trains cross each other ? | 1physics |
a fruit seller sells mangoes at the rate of rs . 13 per kg and thereby loses 25 % . at what price per kg , he should have sold them to make a profit of 15 % ? | 2gain |
mahesh can do a piece of work in 40 days . he works at it for 20 days and then rajesh finished it in 30 days . how long will y take to complete the work ? | 1physics |
a store ’ s selling price of $ 2240 for a certain printer would yield a profit of 40 percent of the store ’ s cost for the printer . what selling price would yield a profit of 50 percent of the printer ’ s cost ? | 2gain |
a contractor undertakes to built a walls in 50 days . he employs 50 peoples for the same . however after 25 days he finds that only 40 % of the work is complete . how many more man need to be employed to complete the work in time ? | 1physics |
convert 500 miles into meters ? | 1physics |
the average ( arithmetic mean ) of the 5 positive integers k , m , r , s , and t is 12 , and k < m < r < s < t . if t is 20 , what is the greatest possible value of the median of the 5 integers ? | 0general |
a work as fast as b . if b can complete a work in 36 days independently , the number of days in which a and b can together finish the work in ? | 1physics |
a car covers a distance of 200 km in 2 hours 40 minutes , whereas a jeep covers the same distance in 2 hours . what is the ratio of t | 1physics |
the average of 13 numbers is 60 . average of the first 7 of them is 54 and that of the last 7 is 61 . find the 8 th number ? | 0general |
a man is 22 years older than his son . in three years , his age will be thrice the age of his son . the present age of this son is | 0general |
for each color copy , print shop x charges $ 1.20 and print shop y charges $ 1.70 . how much greater is the charge for 70 color copies at print shop y than at print shop x ? | 0general |
pipe a fills a tank of capacity 850 liters at the rate of 40 liters a minute . another pipe b fills the same tank at the rate of 30 liters a minute . a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute . if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated , when will the tank be full ? | 1physics |
a picnic attracts 240 persons . there are 80 more men than women , and 80 more adults than children . how many men are at this picnic ? | 0general |
tap a runs 3 liters of water per minute into a bucket that has a total volume of 36 liters . tap b fills a third of the bucket in 20 mins . working together how long will it take both taps to fill the bucket ? | 1physics |
what is the smallest integer that is multiple of 5 , 7,11 | 0general |
a , b and c enter into a partnership . a invests 3 times as much as b invests and 2 / 3 of what c invests . at the end of the year , the profit earned is rs . 22000 . what is the share of c ? | 2gain |
if the radius of a circle is decreased 40 % , what happens to the area ? | 3geometry |
what is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular 9 - sided polygon ) ? | 4probability |
if 10 gallons of grape juice are added to 30 gallons of a mixture , which contains 10 percent grape juice then what percent of the resulting mixture is grape juice ? | 0general |
if ( 10 ^ 4 * 3.456789 ) ^ 12 is written as a single term , how many digits would be to the right of the decimal place ? | 0general |
convert 150 inches into centimeter ? | 1physics |
one day eesha started 30 min late from home and reached her office 50 min late while driving 25 % slower than her usual speed . how much time in min does eesha usually take to reach her office from home ? | 1physics |
the sum of three consecutive even numbers is 24 . find the middle number of the three ? | 1physics |
two trains of equal length , running with the speeds of 50 and 40 kmph , take 50 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ? | 1physics |
daniel went to a shop and bought things worth rs . 40 , out of which 30 paise went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ? | 2gain |
if 6 men can colour 48 m long cloth in 2 days , then 2 men can colour 36 m long cloth in | 1physics |
a , b , k start from the same place and travel in the same direction at speeds of 30 km / hr , 40 km / hr , 60 km / hr respectively . b starts five hours after a . if b and k overtake a at the same instant , how many hours after a did k start ? | 1physics |
the decimal 0.1 is how many times greater than the decimal ( 0.001 ) ^ 4 ? | 0general |
in what time will a train 400 meters long cross an electric pole , if its speed is 144 km / hr | 1physics |
p software has coding line 5 % more than n , n software has coding line 5 / 2 more than m . m software has 108 lines of coding . find p lines . | 0general |
a certain list consists of 21 different numbers . if n is in the list and n is 2 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction of the sum of the 21 numbers in the list ? | 0general |
the value of a machine depreciates at 20 % per annum . if its present value is rs . 1 , 50,000 , at what price should it be sold after two years such that a profit of rs . 20,000 is made ? | 2gain |
mary works in a restaurant a maximum of 60 hours . for the first 20 hours , she is paid $ 8 per hour . for each overtime hour , she is paid at a rate which is 25 % higher than her regular rate . how much mary can earn in a week ? | 2gain |
how many seconds will a 600 m long train take to cross a man walking with a speed of 4 km / hr in the direction of the moving train if the speed of the train is 64 km / hr ? | 1physics |
two interconnected , circular gears travel at the same circumferential rate . if gear a has a diameter of 40 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 |
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