Problem stringlengths 5 967 | category class label 6
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a train with a length of 100 meters , is traveling at a speed of 72 km / hr . the train enters a tunnel 2.9 km long . how many minutes does it take the train to pass through the tunnel from the moment the front enters to the moment the rear emerges ? | 1physics |
a train 120 m long is running at a speed of 68 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ? | 1physics |
if exactly 7 guests drank only one of the two types of drinks , how many guests drank both types of drinks ? | 5other |
a triangle has sides 10 , 17 , and 21 . a square is inscribed in the triangle . one side of the square lies on the longest side of the triangle . the other two vertices of the square touch the two shorter sides of the triangle . what is the length of the side of the square ? | 3geometry |
if a train , travelling at a speed of 160 kmph , crosses a pole in 9 sec , then the length of train is ? | 1physics |
when a certain number x is divided by 63 , the remainder is 11 . what is the remainder when x is divided by 9 ? | 0general |
due to construction , the speed limit along an 15 - mile section of highway is reduced from 55 miles per hour to 35 miles per hour . approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ? | 1physics |
[ ( 3.242 x 12 ) / 100 ] = ? | 0general |
for all positive integers m , [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even . what is [ 5 ] * [ 6 ] equivalent to ? | 0general |
find the c . i . on a sum of rs . 10000 for 9 months at 20 % per annum , interest being compounded quarterly ? | 2gain |
a person crosses a 720 m long street in 12 minutes . what is his speed in km per hour ? | 1physics |
in a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 28 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp ? | 2gain |
if 22 lines are drawn in a plane such that no two of them are parallel and no three are concurrent , then in how many points do they intersect ? | 1physics |
the population of a town increased from 1 , 75,000 to 2 , 45,000 in a decade . the average percent increase of population per year is | 0general |
how many integers between 1 and 10 ^ 20 are such that the sum of their digits is 2 ? | 0general |
the price of commodity x increases by 40 paise every year , while the price of commodity y increases by 15 paise every year . if in 1988 , the price of commodity x was 4.20 and that of y was 6.30 , in which year will commodity x cost 40 paise more than commodity y ? | 0general |
when tom works alone he chops 4 lb . salad in 3 minutes , and when tammy works alone she chops 3 lb . salad in 4 minutes . they start working together , and after some time finish chopping 65 lb . of salad . of those 80 lb . , the salad quantity chopped by tammy is what percent greater than the quantifying chopped by tom ? . | 1physics |
of the total amount that jill spent on a shopping trip , excluding taxes , she spent 45 percent on clothing , 45 percent on food , and 10 percent on other items . if jill paid a 5 percent tax on the clothing , no tax on the food , and an 10 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 |
a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 10 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ? | 1physics |
j is 25 % less than p and 20 % less than t . t is t % less than p . what is the value of t ? | 2gain |
the speed of a car is 90 km in the first hour and 80 km in the second hour . what is the average speed of the car ? | 1physics |
if the price of gasoline increases by 25 % and ron intends to spend only 15 % more on gasoline , by how much % should he reduce the quantity of gasoline that he buys ? | 0general |
in how many years will a sum of money doubles itself at 10 % per annum on simple interest ? | 2gain |
if x gets 25 % more than y and y gets 20 % more than z , the share of z out of rs . 925 will be : | 0general |
what will be the compound interest on a sum of rs . 45,000 after 3 years at the rate of 12 % p . a . ? | 2gain |
5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 60 only . men â € ™ s wages are ? | 0general |
3034 - ( 1002 / 20.04 ) = ? | 0general |
the tax on a commodity is diminished by 12 % and its consumption increased by 10 % . the effect on revenue is ? | 0general |
last year a worker saved 15 % of her annual salary . this year , she made 20 % more money than last year and she saved 25 % of her salary . the amount she saved this year was what percent of the amount she saved last year ? | 2gain |
one pipe can fill a pool 1.25 times faster than a second pipe . when both pipes are opened , they fill the pool in 4 hours . how long would it take to fill the pool if only the slower pipe is used ? | 1physics |
what will be the reminder when ( 27 ^ 27 + 27 ) is divided by 28 ? | 0general |
ram ' s salary is 25 % more than raja ' s . how much percent is raja ' s salary less than ram ' s ? | 0general |
what is the tens digit of 6 ^ 20 ? | 0general |
a 25 cm wide path is to be made around a circular garden having a diameter of 4 meters . approximate area of the path is square meters is | 3geometry |
x and y invested in a business . they earned some profit which they divided in the ratio of 1 : 3 . if x invested rs . 10,000 . the amount invested by y is | 2gain |
in a certain math department , students are required to enroll in either calculus or trigonometry , each of which is offered in beginner and advanced courses . the number of students enrolled in trigonometry is 50 % greater than the number of students enrolled in calculus , and 80 % of calculus students are enrolled in the beginner course . if 4 / 5 of students are in the beginner courses , and one student is selected at random , what is the probability that a beginner trigonometry student is selected ? | 2gain |
a car going at 10 miles per hour set out on an 80 - mile trip at 9 : 00 a . m . exactly 10 minutes later , a second car left from the same place and followed the same route . how fast , in miles per hour , was the second car going if it caught up with the first car at 10 : 30 a . m . ? | 1physics |
0.009 / x = 0.1 . find the value of x | 0general |
the decimal 0.1 is how many times greater than the decimal ( 0.01 ) ^ 4 ? | 0general |
in a group of 70 people , 60 like swimming , 50 like wrestling . how many like both swimming and wrestling ? | 5other |
in the coordinate plane a slope of the line k is 3 times the y - intercept of the line k . what is the x - intercept of the line k ? | 0general |
a number when divided by 128 gives a remainder 34 , what remainder will be obtained by dividing the same number 19 ? | 0general |
in a certain company , a third of the workers do not have a retirement plan . 30 % of the workers who do not have a retirement plan are women , and 40 % of the workers who do have a retirement plan are men . if 120 of the workers of that company are men , how many of the workers are women ? | 2gain |
find the value of x : x ² − 3 x + 2 | 0general |
aarti can do a piece of work in 3 days . in how many days will she complete four time of work of same type ? | 1physics |
find the area of the quadrilateral of one of its diagonals is 40 cm and its off sets 11 cm and 9 cm ? | 3geometry |
if 3 taps are opened together a tank is filled in 3 hrs . one of the taps alone can fill it in 10 hrs . and another in 15 hrs . in how many hours will the third tap fill it ? | 1physics |
a man took a loan from a bank at the rate of 10 % p . a . simple interest . after 3 years he had to pay rs . 5400 interest only for the period . the principal amount borrowed by him was : | 2gain |
how many different positive integers exist between 10 ^ 9 and 10 ^ 10 , the sum of whose digits is equal to 2 ? | 0general |
a pair of articles was bought for $ 50 at a discount of 60 % . what must be the marked price of each of the article ? | 2gain |
the average runs of a cricket player of 15 innings was 25 . how many runs must he make in his next innings so as to increase his average of runs by 6 ? | 0general |
two airplanes take off from one airfield at noon . one flies due east at 202 miles per hour while the other flies directly northeast at 283 miles per hour . approximately how many miles apart are the airplanes at 2 p . m . ? | 1physics |
( x ) + 1315 + 9211 - 1569 = 11901 . calculate the value of x | 0general |
find the product of the local value and absolute value of 8 in 564823 | 0general |
two trains a and b starting from two points and travelling in opposite directions , reach their destinations 9 hours and 4 hours respectively after meeting each other . if the train a travels at 110 kmph , find the rate at which the train b runs . | 1physics |
a man can row 3.9 km / hr in still water . it takes him twice as long to row upstream as to row downstream . what is the rate of the current ? | 0general |
a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 50 paisa . if the share of y is rs . 27 , what is the total amount ? | 0general |
if a ( a + 4 ) = 21 and b ( b + 4 ) = 21 , where a ≠ b , then a + b = | 0general |
the length of a train and that of a platform are equal . if with a speed of 90 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is : | 1physics |
the average weight of 7 person ' s increases by 6.2 kg when a new person comes in place of one of them weighing 76 kg . what might be the weight of the new person ? | 0general |
the cost of 3 pens and 5 pencils is rs . 100 . also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively . what is the cost of one dozen pens ? | 5other |
the compound interest earned on a sum for the second and the third years are $ 1200 and $ 1272 respectively . what is the rate of interest ? | 2gain |
10 camels cost as much as 24 horses , 26 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 170000 , find the cost of a camel ? | 0general |
if the perimeter of a rectangular garden is 680 m , its length when its breadth is 82 m is ? | 1physics |
what is the least number . which should be added to 0.0478 to make it a perfect square ? | 0general |
the average score of a cricketer for 7 matches is 56 runs . if the average for first 4 matches is 46 , then average for last 3 matches is | 0general |
if in a cricket one day match , there were no wide balls , no wides , no extras and no overthrows . what is the maximum number of runs that a batsman can score in an ideal case scenario ? | 1physics |
how many multiples of 10 are there between 11 and 1001 ? | 0general |
a 20 litre mixture of milk and water contains milk and water in the ratio 3 : 2 . 10 litres of the mixture is removed and replaced with pure milk and the operation is repeated once more . at the end of the two removal and replacement , what is the ratio of milk and water in the resultant mixture ? | 0general |
6 workers should finish a job in 8 days . after 3 days came 4 workers join them . how many days x do they need to finish the same job ? | 1physics |
if an investor puts $ 600 in a savings account that earns 10 percent annual interest compounded semiannually , how much money will be in the account after one year ? | 2gain |
a “ sophie germain ” prime is any positive prime number p for which 2 p + 1 is also prime . the product of all the possible units digits of sophie germain primes greater than 6 is | 0general |
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 . what is the smaller number ? | 0general |
dawson has to secure 30 % marks to clear his exam of class 8 th . he got 30 marks and failed by 36 marks . what is the maximum marks ? | 2gain |
if the price of a book is first decreased by 15 % and then increased by 10 % , then the net change in the price will be : | 0general |
a warehouse is labeling computer inventory with 5 - digit codes . each code is to consist of 4 digits between the numbers 0 and 9 . the manager is debating whether to allow any 5 - digit codes to have leading zero ' s before a non - zero number is used . if not allowed , then numbers like 0025 cannot be used . the manager wants to measure the magnitude of the number of 5 - digit code possibilities that are lost if he disallows the use of leading zero ' s . how many such codes would be lost ? | 0general |
tim and é lan are 90 miles away from one another . they are starting to move towards each other simultaneously , tim at a speed of 10 mph and é lan at a speed of 5 mph . if every hour they double their speeds , what is the distance that tim will pass until he meets é lan ? | 1physics |
every year an amount increases by 1 / 9 th of itself . how much will it be after two years if its present value is rs . 64000 ? | 0general |
if c is 20 % of a and 10 % of b , what percent of a is b ? | 2gain |
an amount of money is to be divided between p , q and r in the ratio of 3 : 7 : 12 . if the difference between the shares of p and q is rs . 3600 , what will be the difference between q and r ' s share ? | 0general |
the area of a triangle will be when a = 1 m , b = 2 m , c = 5 m , a , b , c being lengths of respective sides ? | 3geometry |
a and b can do a work in 25 days and 10 days respectively . a starts the work and b joins him after 2 days . in how many days can they complete the remaining work ? | 1physics |
a grocery store priced a gallon of milk at 25 % above the wholesale price of $ 4 . if a customer comes in with a coupon for 5 % off milk , how much does that customer pay ? | 2gain |
a number is doubled and 9 is added . if resultant is trebled , it becomes 81 . what is that number | 0general |
what is the average of odd numbers from 1 to 79 ? | 0general |
10 camels cost as much as 24 horses , 16 horses cost as much as 4 oxen and 6 oxen as much as 4 elephants . if the cost of 10 elephants is rs . 120000 , find the cost of a camel ? | 0general |
in an exam ashley secured 332 marks . if she secured 83 % makes , find the maximum marks | 2gain |
a man is 24 years older than his son . in two years , his age will be twice the age of his son . the present age of his son is | 0general |
a number when divided by 100 leaves 11 as a remainder . what will be the remainder if the number is divided by 11 ? | 0general |
if 3 x = 8 y = z , what is x + y , in terms of z ? | 0general |
a train requires 10 seconds to pass a pole while it requires 35 seconds to cross a stationary train which is 500 mtrs long . find the speed of the train . | 1physics |
the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is | 0general |
the radius of a wheel is 22.6 cm . what is the distance covered by the wheel in making 750 resolutions ? | 1physics |
car z travels 45 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour , but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour . how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ? | 2gain |
evaluate : log 3 27 | 5other |
how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 140 m length ? | 1physics |
the average of 12 result is 55 . average of the first 6 of them is 42 and that of the last 6 is 48 . find the 8 th result ? | 0general |
15 % of 75 is the same as vx % of 450 . find x . | 2gain |
a fill pipe can fill 1 / 2 of cistern in 25 minutes . in how many minutes , it can fill 1 / 2 of the cistern ? | 1physics |
a straight line in the xy - plane has a slope of 2 and a y - intercept of 2 . on this line , what is the x - coordinate of the point whose y - coordinate is 520 ? | 0general |
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