Problem stringlengths 5 967 | category class label 6
classes |
|---|---|
if 12 boys meet at a reunion and each boy shakes hands exactly once with each of the others , then what is the total number of handshakes | 0general |
if the cost price is 25 % of selling price . then what is the profit percent . | 2gain |
in a certain animal shelter , the ratio of the number of dogs to the number of cats is 15 to 7 . if 16 additional cats were to be taken in by the shelter , the ratio of the number of dogs to the number of cats would be 15 to 11 . how many dogs are in the shelter ? | 5other |
in a rectangular coordinate system , what is the area of a quadrilateral whose vertices have the coordinates ( 4 , - 3 ) , ( 4 , 7 ) , ( 12 , 2 ) , ( 12 , - 7 ) ? | 3geometry |
circular gears p and q start rotating at the same time at constant speeds . gear p makes 10 revolutions per minute and gear q makes 40 revolutions per minute . how many seconds after the gears start rotating will gear q have made exactly 5 more revolutions than gear p ? | 1physics |
the length and breadth of a rectangle is increased by 30 % and 45 % respectively . what is the increase in the area ? | 3geometry |
8 liters of a 25 percent solution of alcohol in water are mixed with 2 liters of a 12 percent alcohol in water solution . what is the percentage of alcohol in the new solution ? | 0general |
a certain university will select 1 of 6 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ? | 5other |
in a school 20 % of the boys are same in number as 1 / 4 th of the girls . what is the ratio of boys to the girls in the school ? | 5other |
find the least number must be subtracted from 5264 so that remaining number is divisible by 17 . | 0general |
a salesman ' s income consists of a commission and a base salary of $ 400 per week . over the past 5 weeks , his weekly income totals have been $ 406 , $ 413 , $ 420 , $ 436 and $ 395 . what must his average ( arithmetic mean ) commission be per week over the next two weeks so that his average weekly income is $ 500 over the 7 - week period ? | 0general |
a car travels at a speed of 65 miles per hour . how far will it travel in 4 hours ? | 1physics |
a can give b 150 meters start and c 300 meters start in a kilometer race . how much start can b give c in a kilometer race ? | 1physics |
for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 100 units raises the average to 55 units per day , what is the value of n ? | 0general |
5 is added to a certain number , the sum is multiplied by 5 , the product is divided by 5 and 5 is subtracted from the quotient . the remainder left is half of 60 . what is the number ? | 0general |
how many points ( x , y ) lie on the line segment between ( 32 , 12 2 / 3 ) and ( 7 , 17 2 / 3 ) such that x and y are both integers ? | 0general |
a train 250 m long running at 72 kmph crosses a platform in 15 sec . what is the length of the platform ? | 1physics |
a bag holds 2 red marbles and 3 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be green ? | 5other |
a baseball card decreased in value 20 % in its first year and 30 % in its second year . what was the total percent decrease of the card ' s value over the two years ? | 2gain |
a batsman makes a score of 300 runs in the 17 th inning and thus increases his averages by 10 . what is his average after 17 th inning ? | 0general |
solve : 0.6 * 0.6 + 0.6 * 0.6 | 0general |
in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 12 to the thrice of the remainder . the dividend is | 0general |
a can do a piece of work 30 days . b can do work in 55 days . in how many days they will complete the work together ? | 1physics |
the diameter of a garden roller is 1.2 m and it is 2 m long . how much area will it cover in 5 revolutions ? ( use Γ― β¬ = 22 Γ’ Β β 7 ) | 1physics |
rs . 2080 is divided so that 3 times the first share , thrice the 2 nd share and four times the third share amount to the same . what is the value of the second share ? | 0general |
two trains running in opposite directions cross a man standing on the platform in 67 seconds and 17 seconds respectively and they cross each other in 73 seconds . the ratio of their speeds is : | 1physics |
you make a cube that is made of 10 x 10 x 10 smaller cubes which sums up to a total of 1000 smaller cubes . now , if someone takes one layer of cubes , how many will remain ? | 0general |
if a - b = 4 and a 2 + b 2 = 30 , find the value of ab . | 0general |
in a regular week , there are 5 working days and for each day , the working hours are 8 . a man gets rs . 2.40 per hour for regular work and rs . 3.20 per hours for overtime . if he earns rs . 432 in 4 weeks , then how many hours does he work for ? a . 160 b . 175 c . 180 d . 195 explanation : | 1physics |
of the 200 stamps in a collection , 90 are foreign and 60 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ? | 5other |
a cylindrical cube of radius 12 cm contains water upto a depth of 20 cm . a spherical iron ball is dropped into the tub and thus the level of water is raised by 6.75 cm . the radius of the ball is : | 3geometry |
a batsman in his 12 th innings makes a score of 92 and thereby increases his average by 2 runs . what is his average after the 12 th innings if he had never been β not out β ? | 0general |
a snail , climbing a 36 feet high wall , climbs up 8 feet on the first day but slides down 4 feet on the second . it climbs 8 feet on the third day and slides down again 4 feet on the fourth day . if this pattern continues , how many days will it take the snail to reach the top of the wall ? | 1physics |
what is the least number by which 16800 must be divided to get a number perfect square | 0general |
addison high school β s senior class has 300 boys and 240 girls . if 30 % of the boys did not attend the college then 70 % of the total class attended college , what percentage of the girls class did not attend college ? | 0general |
if the average ( arithmetic mean ) of a and b is 140 , and the average of b and c is 100 , what is the value of a β c ? | 0general |
on dividing 95 by a number , the quotient is 6 and the remainder is 5 . find the divisor . | 0general |
if money is invested at r percent interest , compounded annually , the amount of the investment will double in approximately 54 / r years . if joe ' s parents invested $ 5,000 in a long - term bond that pays 6 percent interest , compounded annually , what will be the approximate total amount of the investment 18 years later , when joe is ready for college ? | 0general |
find out the square of a number which when doubled exceeds its one nineth by 17 ? | 0general |
the inner circumference of a circular race track , 25 m wide , is 880 m . find radius of the outer circle ? | 1physics |
find the compound interest on $ 800 for 1 year at 10 % p . a . if ci is component yearly ? | 2gain |
how many boxes do you need if you have to pack 1080 apples into cases that each hold one dozen apples ? | 0general |
a sum of money lent out at s . i . amounts to rs . 820 after 2 years and to rs . 1020 after a further period of 4 years . the sum is ? | 0general |
the weights of one liter vegetable ghee packet of two brands β a β and β b β are 900 gm and 750 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 4 liters , what is the weight ( in kg ) of the mixture ? | 5other |
a train 800 m long is running at a speed of 78 km / hr . if it crosses a tunnel in 1 min , then the length of the tunnel is ? | 1physics |
the sector of a circle has radius of 42 cm and central angle 135 o . find its perimeter ? | 1physics |
car x began traveling at an average speed of 35 miles per hour . after 72 minutes , car y began traveling at an average speed of 42 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ? | 1physics |
there are 4 more women than there are men on a local co - ed softball team . if there are a total of 18 players on the team , what is the ratio of men to women ? | 0general |
a student gets 50 % in one subject , 60 % in the other . to get an overall of 60 % how much should get in third subject . | 2gain |
one pump drains one - half of a pond in 6 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ? | 1physics |
an amount of rs . 1638 was divided among a , b and c , in the ratio 1 / 2 : 1 / 3 : 1 / 4 . find the share of b ? | 0general |
how much is 80 % of 40 is greater than 4 / 5 of 25 ? | 0general |
light glows for every 17 seconds . how many times did it between 1 : 57 : 58 and 3 : 20 : 47 am | 1physics |
two trains of length 100 meters and 200 meters are 660 meters apart . they are moving towards each other on parallel tracks , at speeds of 90 km / h and 108 km / h . after how many seconds will the trains meet ? | 1physics |
a vessel of capacity 2 litre has 25 % of alcohol and another vessel of capacity 6 litre had 50 % alcohol . the total liquid of 8 litre was poured out in a vessel of capacity 10 litre and thus the rest part of the vessel was filled with the water . what is the new concentration of mixture ? | 0general |
a , b and c enter into partnership . a invests some money at the beginning , b invests double the amount after 6 months , and c invests thrice the amount after 8 months . if the annual gain be rs . 18300 . a ' s share is ? | 2gain |
how many different positive integers exist between 10 ^ 7 and 10 ^ 8 , the sum of whose digits is equal to 2 ? | 0general |
the workforce of company x is 60 % female . the company hired 26 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 |
zinc and copper are melted together in the ratio 9 : 11 . what is the weight of melted mixture , if 33.3 kg of zinc has been consumed in it ? | 0general |
a good train 800 metres long is running at a speed of 78 km / hr . if it crosses a tunnel in 1 minute , then the length of the tunnel ( in meters ) is : | 1physics |
arun purchased 30 kg of wheat at the rate of rs . 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg . he mixed the two and sold the mixture . approximately what price per kg should be sell the mixture to make 25 % profit ? | 2gain |
find the c . i . on a sum of rs . 2000 for 6 months at 20 % per annum , interest being compounded quarterly ? | 2gain |
ann and bob drive separately to a meeting . ann ' s average driving speed is greater than bob ' s avergae driving speed by one - third of bob ' s average driving speed , and ann drives twice as many miles as bob . what is the ratio q of the number of hours ann spends driving to the meeting to the number of hours bob spends driving to the meeting ? | 0general |
of 30 applicants for a job , 12 had at least 4 years ' experience , 18 had degrees , and 3 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ? | 0general |
how many multiples of 5 are there between 10 and 100 , exclusive ? | 0general |
suresh can complete a job in 15 hours . ashutosh alone can complete the same job in 25 hours . suresh works for 9 hours and then the remaining job is completed by ashutosh . how many hours will it take ashutosh to complete the remaining job alone ? | 1physics |
find the sum of first 35 natural numbers | 0general |
a line that passes through ( β 1 , β 4 ) and ( 5 , k ) has a slope = k . what is the value of k ? | 0general |
total dinning bill for 8 people was $ 211.00 . if they add 15 % tip and divided the bill evenly , approximate . what was each persons find share | 0general |
how much 50 % of 56 is greater than 30 % of 50 ? | 2gain |
a sum of money at simple interest amounts to rs . 815 in 3 years and to rs . 865 in 4 years . the sum is : | 2gain |
a shopkeeper fixes the marked price of an item 32 % above its cost price . the percentage of discount allowed to gain 7 % is | 2gain |
the diagonals of the two squares are in the ratio of 2 : 5 find the ratio of their area . | 3geometry |
two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 9 hours and 36 hours respectively . the ratio of their speeds is ? | 1physics |
carl can wash all the windows of his house in 6 hours . his wife maggie can wash all the windows in 7 hours . how many hours will it take for both of them working together to wash all the windows ? | 1physics |
a can do a work in 15 days and b in 20 days . if they work on it together for 2 days , then the fraction of the work that is left is : | 1physics |
find the common factors of 15 and 18 . | 5other |
half of the workers in palabras bookstore have read the latest book by j . saramago , and 1 / 6 of the workers have read the latest book by h . kureishi . the number of workers that have read neither book is one less than the number of the workers that have read the latest saramago book and have not read the latest kureishi book . if there are 42 workers in the palabras bookstore , how many of them have read both books ? | 5other |
find the length of the wire required to go 13 times round a square field containing 24336 m 2 . | 1physics |
the sum of all solutions for x in the equation x ^ 2 β 8 x + 21 = | x β 4 | + 3 is equal to : | 0general |
rs . 1430 is divided so that 4 times the first share , thrice the 2 nd share and twice the third share amount to the same . what is the value of the third share ? | 0general |
last year a worker saved 5 % of her annual salary . this year , she made 20 % more money than last year and she saved 6 % of her salary . the amount she saved this year was what percent of the amount she saved last year ? | 2gain |
two trains 125 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ? | 1physics |
in the rectangular coordinate system , what is the x - intercept of a line passing through ( 10 , 3 ) and ( β 12 , β 8 ) ? | 0general |
a circular path of 20 m radius has marginal walk 2 m wide all round it . find the cost of leveling the walk at 25 p per m 2 ? | 1physics |
stacy has a 81 page history paper due in 3 days . how many pages per day would she have to write to finish on time ? | 1physics |
the side of a square is increased by 20 % then how much % does its area increases ? | 3geometry |
the area of a rectangular plot is 23 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ? | 3geometry |
in a group of ducks and cows , the total number of legs are 12 more than twice the no . of heads . find the total no . of buffaloes . | 0general |
there are 193 items that are members of set u . of these items , 47 are members of set b , 59 are not members of either of set a or set b , and 23 are members of both sets a and b . how many of the members of set u are members of set a ? | 5other |
in a group of 800 people , 2 / 5 play at least one instrument , 96 play two or more . what is the probability that one student play exactly one instrument ? | 0general |
a person can swim in still water at 16 km / h . if the speed of water 8 km / h , how many hours will the man take to swim back against the current for 12 km ? | 1physics |
the population of a town is 15000 . it decreases annually at the rate of 20 % p . a . what will be its population after 2 years ? | 2gain |
what will be the compound interest on a sum of rs . 40,000 after 3 years at the rate of 11 p . c . p . a . ? | 2gain |
a train 640 m in length crosses a telegraph post in 16 seconds . the speed of the train is ? | 1physics |
if bill can buy 3 pairs of jeans and 2 shirts for $ 69 or 2 pairs of jeans and 3 shirts for $ 76 , how much does one shirt cost ? | 0general |
what is the least common multiple of 1227 and 40 | 0general |
in a certain deck of cards , each card has a positive integer written on it , in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer . if the each possible product is between 15 and 270 , then the least and greatest integer on the card would be | 0general |
a total of 320 chocolates were distributed among 100 boys and girls such that each boy received 2 chocolates and each girl received 3 chocolates . find the respective number of boys and girls ? | 0general |
harry started a 7 - mile hike with a full 11 - cup canteen of water and finished the hike in 3 hours with 2 cup of water remaining in the canteen . if the canteen leaked at the rate of 1 cup per hour and harry drank 3 cups of water during the last mile , how many cups did he drink per mile during the first 6 miles of the hike ? | 1physics |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.