Problem
stringlengths
5
967
category
class label
6 classes
the average age of a group of 10 persons was decreased by 3 years when one person , whose age was 42 years , was replaced by a new person . find the age of the new person ?
0general
what is the sum of the squares of the first 20 natural numbers ( 1 to 20 ) ?
3geometry
the average of 9 observations was 7 , that of the 1 st of 5 being 10 and that of the last 5 being 8 . what was the 5 th observation ?
0general
the guests at a football banquet consumed a total of 319 pounds of food . if no individual guest consumed more than 2 pounds of food , what is the minimum number of guests that could have attended the banquet ?
0general
8 persons can build a wall 140 m long in 42 days . in how many days can 30 persons complete a similar wall 100 m long ?
1physics
what is the prime factors ’ number of 48 ?
5other
in a group of cows and hens , the number of legs are 20 more than twice the number of heads . the number of cows is
0general
the compound interest on a sum of money for 2 years is rs . 832 and the simple interest on the same sum for the same period is rs . 800 . the difference between the compound interest and simple interest for 3 years
0general
if 5 ^ 21 x 4 ^ 11 = 2 x 10 ^ n . what is the value of n ?
0general
from below option 51 is divisible by which one ?
0general
each child has 2 pencils and 13 skittles . if there are 11 children , how many pencils are there in total ?
0general
. a car covers a distance of 390 km in 4 hours . find its speed ?
1physics
find the sum of all 3 digit natural numbers , which are divisible by 8
0general
a man buys 25 lts of liquid which contains 20 % of the liquid and the rest is water . he then mixes it with 25 lts of another mixture with 30 % of liquid . what is the % of water in the new mixture ?
2gain
find the perimeter and area of the rectangle of length 17 cm and breadth 13 cm .
3geometry
john left home and drove at the rate of 45 mph for 2 hours . he stopped for lunch then drove for another 3 hours at the rate of 55 mph to reach his destination . how many miles did john drive ?
1physics
a contractor is engaged for 30 days on the condition thathe receives rs . 25 for each day he works & is fined rs . 7.50 for each day is absent . he gets rs . 555 in all . for how many days was he absent ?
1physics
a does 4 / 5 th of a work in 20 days . he then calls in b and they together finish the remaining work in 3 days . how long b alone would take to do the whole work ?
1physics
a and b can do a work in 12 days and 36 days respectively . if they work on alternate days beginning with b , in how many days will the work be completed ?
1physics
a train , 140 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds . the length of the bridge is
1physics
if 12 : 18 : : x : 9 , then find the value of x
0general
an error 2 % in excess is made while measuring the side of asquare . the % of error in the calculated area of the square is ?
3geometry
a can do a piece of work in 30 days ; b can do the same in 30 days . a started alone but left the work after 10 days , then b worked at it for 10 days . c finished the remaining work in 10 days . c alone can do the whole work in ?
1physics
the distance between towns a and b is 300 km . one train departs from town a and another train departs from town b , both leaving at the same moment of time and heading towards each other . we know that one of them is 10 km / hr faster than the other . find the speeds of both trains if 2 hours after their departure the...
1physics
tom read a book containing 480 pages by reading the same number of pages each day . if he would have finished the book 2 days earlier by reading 16 pages a day more , how many days did tom spend reading the book ?
0general
a textile manufacturing firm employees 70 looms . it makes fabrics for a branded company . the aggregate sales value of the output of the 70 looms is rs 00000 and the monthly manufacturing expenses is rs 1 , 50000 . assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over...
0general
a fruit seller sells mangoes at the rate of rs . 14 per kg and thereby loses 15 % . at what price per kg , he should have sold them to make a profit of 15 % ?
2gain
for a 3 - digit number xyz , where x , y , and z are the digits of the number , f ( xyz ) = 5 ^ x 2 ^ y 3 ^ z . if f ( abc ) = 3 * f ( def ) , what is the value of abc - def ?
0general
how long does a train 165 meters long running at the rate of 54 kmph take to cross a bridge 660 meters in length
1physics
a truck covers a distance of 392 km at a certain speed in 8 hours . how much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 70 km more than that travelled by the truck ?
1physics
the area of a triangle is with base 4 m and height 8 m ?
3geometry
a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 70 as remainder . find the no . is ?
0general
the average of 45 results is 10 . the average of first 22 of them is 15 and that of last 22 is 20 . find the 23 result ?
0general
if a 10 percent deposit that has been paid toward the purchase of a certain product is $ 140 , how much more remains to be paid ?
0general
a professional janitor can clean a certain high school in ( 4 + 4 ) hours , working at a constant rate . a student sentenced to detention can clean that same high school in 20 hours , also working at a constant rate . if the student is paid $ 7 total per hour and the janitor is paid $ 21 per hour , how much more would ...
0general
3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 2 men and 3 women will do that task .
1physics
a light has a rating of 60 watts , it is replaced with a new light that has 12 % higher wattage . how many watts does the new light have ?
2gain
a sum of money becomes 7 / 6 of itself in 6 years at a certain rate of simple interest . the rate per annum is ?
2gain
find the missing figures : 0.3 % of ? = 0.15
2gain
the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 265 , then the mean profit for the last 15 days would be
2gain
the ratio of the number of females to males at a party was 1 : 2 but when 5 females and 5 males left , the ratio became 1 : 3 . how many people were at the party originally ?
5other
the least number which when increased by 8 each divisible by each one of 24 , 32 , 36 and 54 is :
0general
find the length of the wire required to go 10 times round a square field containing 53824 m 2 .
1physics
a man invested rs . 14,400 in rs . 100 shares of a company at 20 % premium . if the company declares 4 % dividend at the end of the year , then how much does he get ?
2gain
what should be added to 4329 so that it may become a perfect square ?
3geometry
the number of the members of a club is more than 20 and less than 50 . when 4 people sit at a table , other people exactly divided to 6 - people groups ( 6 people sit at a table ) or 7 - people groups ( 7 people sit at a table ) . if the members are divided to 8 - people groups , how many people will be left ?
0general
the income of a company increases 20 % per annum . if its income is 2664000 in the year 1999 what was its income in the year 1997 ?
2gain
when 242 is divided by a certain divisor the remainder obtained is 11 . when 698 is divided by the same divisor the remainder obtained is 18 . however , when the sum of the two numbers 242 and 698 is divided by the divisor , the remainder obtained is 9 . what is the value of the divisor ?
0general
anil brought a scooter for a certain sum of money . he spent 10 % of the cost on repairs and sold the scooter for a profit of rs . 1100 . how much did he spend on repairs if he made a profit of 20 % ?
2gain
if 7 persons can do 7 times of a particular work in 7 days , then , 9 persons can do 9 times of that work in ?
1physics
the cost per pound of green tea and coffee were the same in june . in july , the price of coffee shot up by 100 % and that of green tea dropped by 90 % . if in july , a mixture containing equal quantities of green tea and coffee costs $ 3.15 for 3 lbs , how much did a pound of green tea cost in july ?
0general
if xy > 0 , 1 / x + 1 / y = 4 , and 1 / xy = 6 , then ( x + y ) / 2 = ?
0general
what is 0.01 percent of 12,356 ?
2gain
indu gave bindu rs . 2500 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 2 % per annum simple interest ?
2gain
a case of 12 rolls of paper towels sells for $ 9 . the cost of one roll sold individually is $ 1 . what is the percent e of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually ?
0general
for what values of k will the pair of equations 3 ( 3 x + 4 y ) = 36 and kx + 12 y = 30 does not have a unique solution ?
0general
working at constant rate , pump x pumped out half of the water in a flooded basement in 5 hours . the pump y was started and the two pumps , working independently at their respective constant rates , pumped out rest of the water in 3 hours . how many hours would it have taken pump y , operating alone at its own constan...
1physics
there 3 kinds of books in the library physics , chemistry and biology . ratio of physics to chemistry is 3 to 2 ; ratio of chemistry to biology is 4 to 3 , and the total of the books is more than 3000 . which one of following can be the total r of the book ?
5other
on rainy mornings , mo drinks exactly n cups of hot chocolate ( assume that n is an integer ) . on mornings that are not rainy , mo drinks exactly 5 cups of tea . last week mo drank a total of 36 cups of tea and hot chocolate together . if during that week mo drank 14 more tea cups than hot chocolate cups , then how ma...
0general
there are 2 sections a and b in a class , consisting of 16 and 14 students respectively . if the average weight of section a is 20 kg and that of section b is 25 kg , find the average of the whole class ?
0general
a car traveled 75 % of the way from town a to town b at an average speed of 60 miles per hour . the car travels at an average speed of s miles per hour for the remaining part of the trip . the average speed for the entire trip was 40 miles per hour . what is s ?
1physics
the price of a jacket is reduced by 35 % . during a special sale the price of the jacket is reduced another 10 % . by approximately what percent must the price of the jacket now be increased in order to restore it to its original amount ?
2gain
the number of stamps that p and q had were in the ratio of 7 : 3 respectively . after p gave q 13 stamps , the ratio of the number of p ' s stamps to the number of q ' s stamps was 5 : 4 . as a result of the gift , p had how many more stamps than q ?
5other
if x and y are positive integers and 25 x = 10 y what is the least possible value of xy ?
0general
a retailer bought a shirt at wholesale and marked it up 80 % to its initial price of $ 27 . by how many more dollars does he need to increase the price to achieve a 100 % markup ?
0general
the ratio of the volumes of two cubes is 2744 : 1331 . what is the ratio of their total surface areas ?
3geometry
evaluate 28 % of 350 + 45 % of 280
2gain
three unbiased coins are tossed . what is the probability of getting 1 heads , 1 tail ?
4probability
divide rs . 32000 in the ratio 3 : 7 ?
5other
a train is running with a speed of 60 kmph and its length is 110 metres . calculate the time by which it will pass a man running opposite with speed of 6 kmph
1physics
the total of the ages of amar , akbar and anthony is 66 years . what was the total of their ages 4 years ago ?
0general
kim finds a 3 - meter tree branch and marks it off in thirds and fifths . she then breaks the branch along all the markings and removes one piece of every distinct length . what fraction of the original branch remains ?
1physics
a certain country is divided into 8 provinces . each province consists entirely of progressives and traditionalists . if each province contains the same number of traditionalists and the number of traditionalists in any given province is 1 / 12 the total number of progressives in the entire country , what fraction of t...
0general
n and m are each 3 - digit integers . each of the numbers 1 , 2 , 3 , 45 and 6 is a digit of either n or m . what is the smallest possible positive difference between n and m ?
0general
with both inlets open , a water tank will be filled with water in 36 minutes . the first inlet alone would fill the tank in 2 hours . if in every minutes the second inlet admits 50 cubic meters of water than the first , what is the capacity of the tank ?
1physics
what is the angle between the hands of a clock when time is 16 : 40 ?
3geometry
solve the equation for x : 8 ( x + y + 2 ) = 8 y - 8
0general
during a special promotion , a certain filling station is offering a 8 percent discount on gas purchased after the first 10 gallons . if kim purchased 20 gallons of gas , and isabella purchased 25 gallons of gas , then isabella ‟ s total per - gallon discount is what percent of kim ‟ s total per - gallon discount ?
2gain
5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 90 only . men â € ™ s wages are ?
0general
stacy has a 33 page history paper due in 3 days . how many pages per day would she have to write to finish on time ?
1physics
the smallest value of n , for which 2 n + 1 is not a prime number , is
0general
a train running at the speed of 50 km / hr crosses a pole in 18 seconds . find the length of the train .
1physics
what sum of money put at c . i amounts in 2 years to rs . 7000 and in 3 years to rs . 9261 ?
0general
two employees m and n are paid a total of $ 583 per week by their employer . if m is paid 120 percent of the salary paid to n , how much is n paid per week ?
0general
if remainder is 1 , quotient is 54 and dividend is 217 then what is divisor ?
0general
4 , 7 , 13 , 25 , 49 , ( . . . )
0general
find the least number that must be subtracted from 1387 so that the remaining number is divisible by 15 .
0general
the output of a factory was increased by 5 % to keep up with rising demand . to handle the holiday rush , this new output was increased by 20 % . by approximately what percent would the output now have to be decreased in order to restore the original output ?
0general
if n is a positive integer and n ^ 2 is divisible by 62 , then the largest positive integer that must divide n is
0general
if a and b get profits of rs . 60,000 and rs . 6,000 respectively at the end of year then ratio of their investments are
2gain
what is the 99 th digit after the decimal point in the decimal expansion of 2 / 9 + 3 / 11 ?
0general
the ratio of ages of aman , bren , and charlie are in the ratio 5 : 8 : 7 respectively . if 8 years ago , the sum of their ages was 76 , what will be the age of bren 10 years from now ?
0general
a trainer is standing in one corner of a square ground of side 25 m . his voice can be heard upto 140 m . find the area of the ground in which his voice can be heard ?
3geometry
machine m , n , o working simultaneously machine m can produce x units in 3 / 4 of the time it takes machine n to produce the same amount of units . machine n can produce x units in 2 / 7 the time it takes machine o to produce that amount of units . if all 3 machines are working simultaneously , what fraction of the to...
0general
a and b can do a work in 2 days , b and c in 6 days and c and a in 8 days . in how many days will the work be completed , if all three of them work together ?
1physics
a man is 18 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is
0general
( 0.0088 ) ( 4.5 ) / ( 0.05 ) ( 0.1 ) ( 0.008 ) =
0general
a watch was sold at a loss of 10 % . if it was sold for rs . 210 more , there would have been a gain of 4 % . what is the cost price ?
2gain
( 4300631 ) - ? = 2535618
0general
two trains 250 m and 500 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?
1physics