Problem
stringlengths
5
967
category
class label
6 classes
16 machines can do a work in 10 days . how many machines are needed to complete the work in 40 days ?
1physics
the salary of a , b , c , d , e is rs . 8000 , rs . 5000 , rs . 15000 , rs . 7000 , rs . 9000 per month respectively , then the average salary of a , b , c , d , and e per month is
0general
if n is a prime number greater than 19 , what is the remainder when n ^ 2 is divided by 12 ?
0general
total number of 4 digit number do not having the digit 3 or 6 .
0general
the average weight of a , b and c is 43 kg . if the average weight of a and b be 40 kg and that of b and c be 43 kg , then the weight of b is :
0general
the length of rectangle is thrice its breadth and its perimeter is 80 m , find the area of the rectangle ?
3geometry
a dog breeder currently has 9 breeding dogs . 6 of the dogs have exactly 1 littermate , and 3 of the dogs have exactly 2 littermates . if 2 dogs are selected at random , what is the probability r that both selected dogs are not littermates ?
5other
a train running at the speed of 60 km / hr crosses a pole in 21 seconds . what is the length of the train ?
1physics
a number when divided by 214 gives a remainder 35 , what remainder will be obtained by dividing the same number 14 ?
0general
a number whose fifth part increased by 3 is equal to its fourth part diminished by 3 is ?
0general
a military camp has a food reserve for 250 personnel for 40 days . if after 15 days 50 more personnel are added to the camp , find the number of days the reserve will last for ?
0general
what is x if x + 2 y = 12 and y = 3 ?
0general
in how many years rs 200 will produce the same interest at 10 % as rs . 1000 produce in 2 years at 12 %
2gain
a store ’ s selling price of $ 2240 for a certain computer would yield a profit of 40 percent of the store ’ s cost for the computer . what selling price would yield a profit of 60 percent of the computer ’ s cost ?
2gain
a person buys 18 local tickets for rs 110 . each first class ticket costs rs 10 and each second class ticket costs rs 3 . what will another lot of 18 tickets in which the numbers of first class and second class tickets are interchanged cost ?
1physics
for all numbers a and b , the operationis defined by ab = ( a + 2 ) ( b – 3 ) . if 3 y = – 30 , then y =
0general
a train 250 m long running at 72 kmph crosses a platform in 40 sec . what is the length of the platform ?
1physics
out of 3 given numbers , the first one is twice the second and 3 times the third . if the average of these numbers is 88 , then the difference between first and third is .
0general
an item is being sold for $ 10 each . however , if a customer will β€œ buy at least 3 ” they have a promo discount of 32 % . also , if a customer will β€œ buy at least 10 ” items they will deduct an additional 8 % to their β€œ buy at least 3 ” promo price . if sam buys 10 pcs of that item how much should he pay ?
2gain
r is the set of positive odd integers less than 200 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ?
1physics
the cost to park a car in a certain parking garage is $ 9.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours . what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours ?
0general
find the compound interest on $ 30000 in 2 years at 4 % per annum , the interest being compounded half - yearly ?
2gain
the average waight of a , b , c is 45 kg . the avg wgt of a & b be 40 kg & that of b , c be 43 kg . find the wgt of b .
0general
of the 600 residents of clermontville , 35 % watch the television show island survival , 40 % watch lovelost lawyers and 50 % watch medical emergency . if all residents watch at least one of these 3 shows and 18 % watch exactly 2 of these shows , then how many clermontville residents z watch all of the shows ?
2gain
john ' s marks wrongly entered as 82 instead of 62 . due to that the average marks for the class got increased by half ( 1 / 2 ) . the number of john in the class is ?
0general
a train running at the speed of 90 km / hr crosses a pole in 10 seconds . find the length of the train .
1physics
milk is poured from a full rectangular container with dimensions 4 inches by 9 inches by 10 inches into a cylindrical container with a diameter of 6 inches . if the milk does not overflow , how many inches high will the milk reach ?
3geometry
if 65 % of a number is greater than 5 % of 60 by 23 , what is the number ?
2gain
8 men and 2 boys working together can do 4 times as much work as a man and a boy . working capacity of man and boy is in the ratio
5other
the difference between the place value and the face value of 7 in the numeral 856973 is
0general
if a person walks at 15 km / hr instead of 5 km / hr , he would have walked 20 km more . the actual distance traveled by him is ?
0general
the diameter of a cylindrical tin is 4 cm and height is 5 cm . find the volume of the cylinder ?
3geometry
the sum of 3 consecutive numbers is definitely
1physics
for all even integers n , h ( n ) is defined to be the sum of the even integers between 6 and n , inclusive . what is the value of h ( 18 ) / h ( 10 ) ?
0general
20 % of a 6 litre solution and 60 % of 4 litre solution are mixed . what percentage of the mixture of solution
2gain
population of a city decreases by 10 % at the end of first year and increases by 10 % at the end of second year and again decreases by 10 % at the end of third year . if the population of the city at the end of third year is 4455 , then what was the population of the city at the beginning of the first year ?
2gain
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 . 425 in all . for how many days was he absent ?
1physics
stalin and heather are 20 miles apart and walk towards each other along the same route . stalin walks at constant rate that is 1 mile per hour faster than heather ' s constant rate of 5 miles / hour . if heather starts her journey 20 minutes after stalin , how far from the original destination has heather walked when the two meet ?
1physics
what is the square root of 16 ?
5other
a bag marked at $ 240 is sold for $ 120 . the rate of discount is ?
2gain
the average weight of 8 person ' s increases by 2 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ?
0general
the mean proportional between 4 and 9 is ?
0general
a man buy a book in rs 50 & sale it rs 100 . what is the rate of profit ? ? ?
2gain
a cistern has a leak which would empty the cistern in 20 minutes . a tap is turned on which admits 6 liters a minute into the cistern , and it is emptied in 24 minutes . how many liters does the cistern hold ?
1physics
a group of students was interviewed for that if it was asked whether or not they speak french and / or english . among those who speak french , 20 speak english well , while 60 of them do not speak english . if 60 % of students do not speak french , how many students were surveyed ?
2gain
the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.2 kg . the weight of the new student is
0general
the average expenditure of a labourer for 6 months was 80 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income i
0general
the length of a rectangle is halved , whileits breadth is tripled . wat is the % change in area ?
3geometry
a man saves 25 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 10 % , he is only able to save rs . 175 per month . what is his monthly salary ?
0general
a 15 % stock yielding 12 % is quoted at :
2gain
on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 2 for each of the past 5 months . if the stock continues to decrease at the same rate for the rest of the year , how many fewer bicycles will be in stock on september 1 than were in stock on january 1 ?
2gain
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 $ 0.92 at the candy store . what is john ’ s weekly allowance ?
0general
a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1300 plus 2.5 % commission on all sales exceeding rs . 4000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ?
0general
a sum fetched a total simple interest of 4020.75 at the rate of 9 % . p . a . in 5 years . what is the sum ?
2gain
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 28 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ?
1physics
exactly 3 / 7 of the people in the room are under the age of 21 , and exactly 5 / 11 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ?
0general
one night 15 percent of the female officers on a police force were on duty . if 300 officers were on duty that night and half of these were female officers , how many female officers were on the police force ?
2gain
with # andeach representing different digits in the problem below , the difference between # and # # is 801 . what is the value of ? # - # # ____ 812
0general
a cat leaps 5 leaps for every 4 leaps of a dog , but 3 leaps of the dog are equal to 4 leaps of the cat . what is the ratio of the speed of the cat to that of the dog ?
5other
( √ 97 + √ 486 ) / √ 54 = ?
0general
a secret can be told only 2 persons in 5 minutes . the same person tells to 2 more persons and so on . how long will take to tell it to 768 persons ?
1physics
in what time will a train 110 m long cross an electric pole , it its speed be 144 km / hr ?
1physics
9 . on level farmland , two runners leave at the same time from the intersection of two country roads . one runner jogs due north at a constant rate of 6 miles per hour while the second runner jogs due east at a constant rate that is 2 miles per hour faster than the first runner ' s rate . how far apart , to the nearest mile , will they be after 1 / 2 hour ?
1physics
find the smallest number which when divided by 13 and 15 leaves respective remainders of 2 and 4
0general
if sharon ' s weekly salary increased by 16 percent , she would earn $ 406 per week . if instead , her weekly salary were to increase by 20 percent , how much would she earn per week ?
0general
two tains are running in opposite directions with the same speed . if the length of each train is 120 metres and they cross each other in 12 seconds , then the speed of each train ( in km / hr ) is :
1physics
a taxi company charges $ 2.5 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
a student has to obtain 60 % of the total marks to pass . he got 160 marks and failed by 20 marks . the maximum marks are ?
0general
in a renowned city , the average birth rate is 7 people every two seconds and the death rate is 2 people every two seconds . estimate the size of the population net increase that occurs in one day .
0general
two trains of equal are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 36.00001 sec . the length of each train is ?
0general
two numbers n and 14 have lcm = 56 and gcf = 10 . find n .
1physics
how many liters of water must be evaporated from 50 liters of a 2 percent sugar solution to get a 4 percent sugar solution ?
2gain
a batsman scored 60 runs which included 2 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets .
0general
if 3 people can do 3 times of a particular work in 3 days , then how many days would it take 5 people to do 5 times of that particular work ?
1physics
what is the value of Γ’ Λ† Ε‘ 64 % ?
2gain
tom opened a shop investing rs . 500 . jose joined him 2 months later , investing rs . 350 . they earned a profit of rs . 1720 after completion of one year . what will be jose ' s share of profit ?
2gain
the sides of a rectangular field are in the ratio 3 : 4 . if the area of the field is 8748 sq . m , the cost of fencing the field @ 25 paise per metre is
1physics
the angle between the minute hand and the hour hand of a clock when the time is 4.20 , is :
1physics
the positive numbers w , x , y , and z are such that x is 40 percent greater than y , y is 20 percent greater than z , and w is 20 percent less than x . what percent greater than z is w ?
0general
if 10 men do a work in 80 days , in how many days will 20 men do it ?
1physics
a trader sells 60 meters of cloth for rs . 8400 at the profit of rs . 12 per metre of cloth . what is the cost price of one metre of cloth ?
1physics
48 is divided into two parts in such a way that seventh part of first and ninth part of second are equal . find the smallest part ?
0general
a car covers a distance of 624 km in 6 Γ’ Β½ hours . find its speed ?
1physics
when average age of 23 members are 0 , how many members greater than 0 ?
0general
if 2 : 9 : : x : 18 , then find the value of x
0general
during the first two weeks of january , the total rainfall in springdale was 35 inches . if the rainfall during the second week was 1.5 times the rainfall during the first week , what was the rainfall during the second week of january ?
0general
if you roll one fair 6 - sided die , what is the probability that the number is even or less than 3 ?
4probability
a fifth of arun Γ’ € β„’ s marks in mathematics exceed a third of his marks in english by 20 . if he got 260 marks in two subjects together how many marks did he got in english ?
0general
in a colony of 70 residents , the ratio of the number of men and women is 4 : 3 . among the women , the ratio of the educated to the uneducated is 1 : 4 . if the ratio of the number of education to uneducated persons is 8 : 27 , then find the ratio of the number of educated and uneducated men in the colony ?
5other
40 persons like apple . 7 like orange and mango dislike apple . 10 like mango and apple and dislike orange . 4 like all . how many people like apple ?
0general
one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund . if he has rs . 1 , 50,000 as total savings , how much has he saved in public provident fund ?
0general
a girl goes to her school from her house at a speed of 6 km / hr and returns at a speed of 4 km / hr . if she takes 10 hours in going and coming back , the distance between her school and house is
1physics
if x = - 6 and y = - 3 , what is the value of 4 ( x - y ) ^ 2 - xy ?
0general
if the sum of the 4 th term and the 12 th term of an arithmetic progression is 12 , what is the sum of the first 15 terms of the progression ?
0general
( 51 + 52 + 53 + . . . + 100 ) = ?
0general
the edges of a cuboid are 2 cm , 5 cm and 8 cm . find the volume of the cuboid ?
1physics
a car was driving at 50 km / h for 30 minutes , and then at 40 km / h for another 30 minutes . what was its average speed ?
0general
a and b walk around a circular track . they start at 9 a . m . from the same point in the opposite directions . a and b walk at a speed of 2 rounds per hour and 3 rounds per hour respectively . how many times shall they cross each other before 11 : 00 a . m . ?
1physics
a can do a work in 21 days and b alone can do it 28 days , they begin the work together , but a left after some days . b completed the remaining work in 21 days . after how many days did a leave ?
1physics
a started a business with an investment of rs . 10000 and after 7 months b joined him investing rs . 12000 . if the profit at the end of a year is rs . 24000 , then the share of b is ?
2gain