Problem stringlengths 5 967 | category class label 6
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the distance between delhi and mathura is 110 kms . a starts from delhi with a speed of 20 kmph at 7 a . m . for mathura and b starts from mathura with a speed of 25 kmph at 8 p . m . from delhi . when will they meet ? | 1physics |
what is the remainder when 1044 * 1047 * 1050 * 1053 is divided by 33 ? | 0general |
how many positive integers less than 100 are neither multiples of 3 or 4 . | 0general |
shopkeeper rise price by 31 % and gives successive discount of 10 % and 15 % . what is overall % gain or loss ? | 2gain |
the probability that a computer company will get a computer hardware contract is 4 / 5 and the probability that it will not get a software contract is 3 / 5 . if the probability of getting at least one contract is 9 / 10 , what is the probability that it will get both the contracts ? | 5other |
in right triangle abc , ac is the hypotenuse . if ac is 20 and ab + bc = 50 , what is the area of the triangle abc ? | 3geometry |
a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 500 feet . what is its area , in square feet ? | 3geometry |
if k and w are the dimensions of a rectangle that has area 21 , and if k and w are integers such that k > w , what is the total number of possible values of k ? | 3geometry |
how many digits are in the number 50 ^ 8 × 8 ^ 3 × 11 ^ 2 x 10 ^ 6 ? | 0general |
the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year . if the initial value of the scooter is rs . 40,000 , what is the value at the end of 4 years ? | 0general |
the simple interest on a sum of money will be rs . 400 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ? | 0general |
the banker â € ™ s gain on a sum due 3 years hence at 10 % per annum is rs . 120 . the banker â € ™ s discount is | 2gain |
when greenville state university decided to move its fine arts collection to a new library , it had to package the collection in 20 - inch by 20 - inch by 15 - inch boxes . if the university pays $ 0.90 for every box , and if the university needs 3.06 million cubic inches to package the collection , what is the minimum amount the university must spend on boxes ? | 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 5.0 – 5.0 * ? | 0general |
the salary of a person was reduced by 10 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ? | 2gain |
if the average ( arithmetic mean ) of 102 consecutive odd integers is 414 , then the least of these integers is | 0general |
10 play kabadi , 40 play kho kho only , 5 play both gmaes . then how many in total ? | 0general |
set s consists of integers { 6 , 8 , 10 , 12 , 14 } . if integer n is included in the set , the average ( arithmetic mean ) of set s will increase by 30 % . what is the value of integer n ? | 0general |
1 + 2 = 10 2 + 3 = 26 3 + 4 = 50 then 4 + 5 = ? | 0general |
n is a positive integer . when n + 1 is divided by 4 , the remainder is 3 . what is the remainder when n is divided by 3 ? | 0general |
in the list 3 , 4 , 5 , 5 , 5 , 5 , 7 , 11 , 21 , what fraction of the data is less than the mode ? | 0general |
how many multiples of 8 are less than 4500 , and also multiples of 12 ? | 0general |
john makes $ 60 a week from his job . he earns a raise andnow makes $ 84 a week . what is the % increase ? | 2gain |
56 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780 . the bigger part is : | 0general |
the sides of a cube measures 8 cm . if the surface area of the cube is the same as a ball , what is the radius of the ball ? round to the nearest whole number . | 3geometry |
find the value for x from below equation : x / 2 = - 2 ? | 0general |
a man sold 18 toys for rs . 18900 , gaining thereby the cost price of 3 toy find the cost price of a toy | 2gain |
how many of the positive factors of 75 are not factors of 95 ? | 5other |
q is as much younger than r as he is older than t . if the sum of the ages of r and t is 50 years , what is definitely the difference between r and q ’ s age ? | 0general |
if it is assumed that 62 percent of those who receive a questionnaire by mail will respond and 300 responses are needed , what is the minimum number of questionnaires that should be mailed ? | 2gain |
what is the lowest positive integer that is divisible by 1 through 2 , inclusive ? | 0general |
the cost price of an article is 64 % of the marked price . calculate the gain percent after allowing a discount of 12 % . | 2gain |
two vessels having volumes in the ratio 3 : 5 are filled with water and milk solutions . the ratio of milk and water in the two vessels are 1 : 2 and 3 : 2 respectively . if the contents of both the vessel are empties into a larger vessel , find the ratio of milk and water in the larger vessel . | 5other |
the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 30 % profit ? | 2gain |
each year for 4 years , a farmer increased the number of trees in a certain orchard by 1 / 4 of the number of trees in the orchard of the preceding year . if all of the trees thrived and there were 1250 trees in the orchard at the end of 4 year period , how many trees were in the orchard at the beginning of the 4 year period . | 0general |
a river boat leaves silver town and travels upstream to gold town at an average speed of 6 kilometers per hour . it returns by the same route at an average speed of 5 kilometers per hour . what is the average speed for the round - trip in kilometers per hour ? | 1physics |
a cistern is normally filled in 10 hours but takes two hours longer to fill because of a leak in its bottom . if the cistern is full , the leak will empty it in ? | 1physics |
three numbers are in the ratio 4 : 5 : 6 and their average is 42 . the largest number is : | 0general |
6 % of customers that enter a store on any given day must not pay tax . if 1000 people shop every day , how many people pay taxes in the store every week | 2gain |
find the compound ratio of ( 2 : 3 ) , ( 5 : 3 ) and ( 2 : 5 ) is | 5other |
1 = 5,2 = 10,3 = 253,4 = 254,5 = 255,6 = 256,7 = 257,8 = 258 then 10 = ? | 0general |
p and q started a business investing rs . 85,000 and rs . 30,000 respectively . in what ratio the profit earned after 2 years be divided between p and q respectively ? | 2gain |
a raz ' s company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales were up 7 percent from 1996 . if total revenues from car sales and truck sales in 1997 were up 1 percent from 1996 , what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996 ? | 5other |
what is the units digit of 23 ^ 3 * 17 ^ 2 * 39 ^ 2 ? | 0general |
three numbers are in the ratio 4 : 5 : 6 and their average is 20 . the largest number is : | 0general |
a customer went to a shop and paid a total of $ 25 , out of which 90 cents was for sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ? | 2gain |
45 x ? = 60 % of 900 | 0general |
set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 6 , while all other numbers remain the same , what is the new average of set s ? | 0general |
a can do a work in 6 days , b can do a work in 8 days and c can do it in 12 days . b left work after 3 days . for how many number of days should a and c should work together to complete the remaining work ? | 1physics |
what is the greatest 6 - digit number when divided by 8 , 9 , and 10 leaves a remainder of 6 , 7 , and 8 respectively ? | 0general |
a thief is spotted by a policeman from a distance of 160 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ? | 1physics |
the average of runs of a cricket player of 20 innings was 36 . how many runs must he make in his next innings so as to increase his average of runs by 4 ? | 0general |
the product of a and b is equal to 14 more than twice the sum of a and b . if b = 8 , what is the value of b - a ? | 0general |
excluding stoppages , the speed of a train is 42 kmph and including stoppages it is 36 kmph . of how many minutes does the train stop per hour ? | 1physics |
a can do a piece of work in 4 hours . a and c together can do it in just 2 hours , while b and c together need 3 hours to finish the same work . in how many hours b can complete the work ? | 1physics |
a man can row downstream at the rate of 32 kmph and upstream at 17 kmph . find the man ’ s rate in still water and rate of current ? | 2gain |
a combustion reaction forms carbon dioxide . a carbon dioxide molecule contains one carbon and two oxygen atoms . if , over a period of 15 minutes , a combustion reaction creates 15,000 molecules of carbon dioxide then approximately how many more atoms of oxygen than carbon are created on average per minute ? | 0general |
a train speeds past a pole in 15 seconds and a platform 100 m long in 20 seconds . its length is ? | 1physics |
the smallest number when increased by ` ` 1 ` ` is exactly divisible by 618 , 3648 , 60 is : | 0general |
a contractor undertakes to do a job within 100 days and hires 10 people to do it . after 20 days , he realizes that one fourth of the work is done so he fires 2 people . in how many more days g will the work get over ? | 1physics |
having received his weekly allowance , john spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 0.96 at the candy store . what is john ’ s weekly allowance ? | 0general |
how many prime numbers are between 78 / 14 and 55 / 4 ? | 0general |
a person can swim in still water at 12 km / h . if the speed of water 10 km / h , how many hours will the man take to swim back against the current for 12 km ? | 1physics |
if 15 % of a class averages 100 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 63 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) . | 2gain |
what is x if x + 3 y = 10 and y = 3 ? | 0general |
arun borrowed a sum of money from jayant at the rate of 8 % per annum simple interest for the first 4 years , 10 % per annum for the next 6 years and 12 % per annum for the period beyond 10 years . if he pays a total of 12160 as interest only at the end of 15 years , how much money did he borrow ? | 0general |
what is the largest 4 digit number exactly divisible by 88 ? | 0general |
a women travels from x to y distance of 1000 miles in 10 hours . she returns to x in 4 hours . find her average speed | 1physics |
in the number 11,0 ab , a and b represent the tens and units digits , respectively . if 11,0 ab is divisible by 45 , what is the greatest possible value of b × a ? | 0general |
a vendor sells 20 percent of the pears he had and throws away 50 percent of the remainder . the next day , the vendor sells 20 percent of the remaining pears and throws away the rest . in total , what percent of his pears does the vendor throw away ? | 0general |
john want to buy a $ 100 trouser at the store , but he think it â € ™ s too expensive . finally , it goes on sale for $ 80 . what is the percent decrease ? | 0general |
a number is doubled and 9 is added . if the resultant is trebled , it becomes 75 . what is that number ? | 0general |
the value of 489.1375 x 0.0483 x 1.956 / 0.0873 x 92.581 x 99.749 is closest to : | 0general |
an uneducated retailer marks all his goods at 50 % above the cost price and thinking that he will still make 15 % profit , offers a discount of 15 % on the marked price . what is his actual profit on the sales ? | 2gain |
on teacher ' s day , sweets were to be equally distributed among 190 children in a school . actually , on the teacher ' s day , 70 children were absent and therefore each child got 14 sweets extra . how many sweets did each child get on that day ? | 0general |
x , a , z , and b are single digit positive integers . x = ¼ a . z = ¼ b . ( 10 a + b ) – ( 10 x + z ) could not equal | 0general |
in what time will a train 140 m long cross an electric pole , it its speed be 144 km / hr ? | 1physics |
if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 11.5 % per annum then the gain of b in a period of 3 years is ? | 2gain |
if a : b is 2 : 3 and b : c is 3 : 4 then a : c is equal to | 0general |
carl can wash all the windows of his house in 6 hours . his wife maggie can wash all the windows in 5 hours . how many hours will it take for both of them working together to wash all the windows ? | 1physics |
on a two - dimensional coordinate plane , the line z = x ^ 2 - x ^ 3 touches the x - axis in how many places ? | 0general |
find the value of 72514 x 9999 = m ? | 0general |
a rectangular parking space is marked out by painting three of its sides . if the length of the unpainted side is 9 feet , and the sum of the lengths of the painted sides is 37 feet , find out the area of the parking space in square feet ? | 3geometry |
a man ' s speed with the current is 20 kmph and speed of the current is 1 kmph . the man ' s speed against the current will be | 1physics |
if | x - 12 | = 100 , what is the sum of all the possible values of x ? | 0general |
calculate the l . c . m of 4 / 9 , 5 / 7 , 9 / 13 , 7 / 15 is : | 1physics |
kanul spent $ 3000 in buying raw materials , $ 2000 in buying machinery and 10 % of the total amount he had as cash with him . what was the total amount ? | 2gain |
the sum of all solutions for x in the equation x ^ 2 – 8 x + 21 = | x – 5 | + 4 is equal to : | 0general |
1.20 can be expressed in terms of percentage as | 0general |
if the radius of a cylinder is doubled and height 5 times , what is the new volume of the cylinder divided by the old one ? | 0general |
( x ) + 4671 + 6514 - 7687 = 19190 . calculate the value of x | 0general |
in some quantity of ghee , 60 % is pure ghee and 40 % is vanaspati . if 10 kg of pure ghee is added , then the strength of vanaspati ghee becomes 20 % . the original quantity was ? | 2gain |
a motorist travels for 6 hours , the first half at 60 kmph and the rest at 48 kmph . find the distance traveled by him . | 1physics |
in measuring the sides of a rectangle , one side is taken 5 % in excess , and the other 4 % in deficit . find the error percent in the error percent in the area calculated from these measurements . | 3geometry |
in a group of ducks and cows , the total number of legs are 24 more than twice the number of heads . find the total number of cows . | 0general |
a can do a piece of work in 6 days . b can do it in 5 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ? | 1physics |
if 250 ! / 10 ^ n is an integer , what is the largest possible value of n ? | 0general |
a machine , working at a constant rate , manufactures 72 staplers in 28 minutes . how many staplers does it make in 1 hr 52 min ? | 1physics |
wink , inc . follows a certain procedure that requires two tasks to be finished independently in order for a job to be done . on any given day , there is a 1 / 8 probability that task 1 will be completed on time , and a 3 / 5 probability that task 2 will be completed on time . on a certain day , what is the probability that task 1 will be completed on time , but task 2 will not ? | 4probability |
when a = x + ( 2 / x ) and b = x - ( 2 / x ) , ( 2 ^ a ^ 2 ) / ( 2 ^ b ^ 2 ) = ? | 0general |
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