Problem stringlengths 5 967 | category class label 6
classes |
|---|---|
18 men can complete a piece of work in 20 days . in how many days can 12 men complete that piece of work ? | 1physics |
two trains each 150 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively . in what time will they cross each other completely ? | 1physics |
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 60 kmph , find the rate at which the train b runs . | 1physics |
an aeroplane covers a certain distance at a speed of 240 kmph in 5 hours . to cover the same distance in 123 hours , it must travel at a speed of : | 1physics |
a certain car increased its average speed by 3 miles per hour in each successive 5 - minute interval after the first interval . if in the first 5 - minute interval its average speed was 20 miles per hour , how many miles did the car travel in the third 5 - minute interval ? | 1physics |
500 is increased by 30 % . find the final number . | 2gain |
linda spent 4 / 5 of her savings on furniture and the rest on a tv . if the tv cost her $ 100 , what were her original savings ? | 0general |
marla starts running around a circular track at the same time nick starts walking around the same circular track . marla completes 30 laps around the track per hour and nick completes 15 laps around the track per hour . how many minutes after marla and nick begin moving will marla have completed 4 more laps around the track than nick ? | 1physics |
solution x is 10 percent alcohol by volume , and solution y is 30 percent alcohol by volume . how many milliliters of solution y must be added to 300 milliliters of solution x to create a solution that is 25 percent alcohol by volume ? | 0general |
a pet store regularly sells pet food at a discount of 10 percent to 30 percent from the manufacturer ’ s suggested retail price . if during a sale , the store discounts an additional 20 percent from the discount price , what would be the lowest possible price of a container of pet food that had a manufacturer ’ s suggested retail price o f $ 35.00 ? | 2gain |
when 242 is divided by a certain divisor the remainder obtained is 8 . when 698 is divided by the same divisor the remainder obtained is 9 . when the sum of the two numbers 242 and 698 is divided by the divisor , the remainder obtained is 4 . what is the value of the divisor ? | 0general |
the lateral surface area of cube is 100 sq . units . find the volume of cube ? | 3geometry |
10 men can complete a piece of work in 35 days . in how many days can 7 men complete that piece of work ? | 1physics |
mariah has decided to hire three workers . to determine whom she will hire , she has selected a group of 12 candidates . she plans to have one working interview with 3 of the 12 candidates every day to see how well they work together . how many days will it take her to have working interviews with all the different combinations of job candidates ? | 1physics |
the number of positive integer solutions for the equation x + y + z + t = 10 is | 0general |
two boys starts from the same place walking at the rate of 5.3 kmph and 5.6 kmph respectively in the same direction . what time will they take to be 10.5 km apart ? | 2gain |
a train 320 m in length crosses a telegraph post in 16 seconds . the speed of the train is ? | 1physics |
if x is a positive number and 1 / 2 the square root of x is the cube root of x , then x = | 0general |
if k is the greatest positive integer such that 4 ^ k is a divisor of 32 ! then k = | 0general |
an engineer undertakes a project to build a road 10 km long in 300 days and employs 30 men for the purpose . after 100 days , he finds only 2 km of the road has been completed . find the ( approximate ) number of extra men he must employ to finish the work in time . | 1physics |
the average of first four prime numbers greater than 50 is ? | 0general |
thirty percent of the women in a college class are science majors , and the non - science majors make up 80 % of the class . what percentage of the women are science majors if 40 % of the class are men ? | 2gain |
john and jane went out for a dinner and they ordered the same dish . both used a 10 % discount coupon . john paid a 15 % tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 0.51 more than jane , what was the original price of the dish ? | 2gain |
on dividing 122 by a number , the quotient is 6 and the remainder is 2 . find the divisor ? | 0general |
evaluate : 434 - 12 * 3 * 2 = ? | 0general |
at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 250 ? | 0general |
some of 60 % - intensity red paint is replaced with 30 % solution of red paint such that the new paint intensity is 40 % . what fraction of the original paint was replaced ? | 2gain |
a bucket full of nuts was discovered by the crow living in the basement . the crow eats a fifth of the total number of nuts in 4 hours . how many hours in total will it take the crow to finish a quarter of the nuts ? | 0general |
2 , 3 , 4.5 , 6.75 , 10.12 , ( . . . ) | 0general |
there are 20 brown dogs , 10 white dogs , 15 black dogs . totally how many dogs are there in all ? | 0general |
in an examination , there were 2000 candidates , out of which 900 candidates were girls and rest were boys . if 28 % of the boys and 32 % of the girls passed , then the total percentage of failed candidates is ? | 0general |
if 3 ^ x * 4 ^ y = 1 , 594,323 and x – y = 13 , then x = ? | 0general |
if a speaks the truth 80 % of the times , b speaks the truth 60 % of the times . what is the probability that at least one will tell the truth | 2gain |
joe invested a certain sum of money in a simple interest bond whose value grew to $ 460 at the end of 3 years and to $ 560 at the end of another 5 years . what was the rate of interest in which he invested his sum ? | 2gain |
jane makes toy bears . when she works with an assistant , she makes 80 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane ’ s output of toy bears per hour by what percent t ? | 1physics |
36 people { a 1 , a 2 , . . . , a 36 } meet and shake hands in a circular fashion . in other words , there are totally 36 handshakes involving the pairs , { a 1 , a 2 } , { a 2 , a 3 } , . . . , { a 35 , a 36 } , { a 36 , a 1 } . then size of the smallest set of people such that the rest have shaken hands with at least one person in the set is | 3geometry |
a palindrome is a number that reads the same forward and backward , such as 787 . how many even , 8 - digit numbers are palindromes ? | 0general |
the maitre ' d at an expensive manhattan restaurant has noticed that 60 % of the couples order dessert and coffee . however , 20 % of the couples who order dessert do n ' t order coffee . what is the probability y that the next couple the maitre ' d seats will not order dessert ? | 4probability |
if a boat is rowed downstream for 200 km in 10 hours and upstream for 96 km in 12 hours , what is the speed of the boat and the river ? | 1physics |
in what time will a car 10 m long moving at the rate of 36 kmph pass a telegraph post on its way ? | 1physics |
at an upscale fast - food restaurant , shin can buy 3 burgers , 7 shakes , and one cola for $ 130 . at the same place it would cost $ 164.50 for 4 burgers , 10 shakes , and one cola . how much would it cost for a meal of one burger , one shake , and one cola ? | 0general |
if the sum of a number and its square is 306 , what is the number ? | 3geometry |
the price of a t . v . set worth rs . 15000 is to be paid in 20 installments of rs . 2000 each . if the rate of interest be 6 % per annum , and the first installment be paid at the time of purchase , then the value of the last installment covering the interest as well will be ? | 2gain |
a train 180 m long running at 70 kmph crosses a platform in 20 sec . what is the length of the platform ? | 1physics |
a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 2700 , then his salary per month in rupees is : | 2gain |
two trucks each 250 m long are running in opposite directions on parallel paths . their speeds are 30 km / hr and 20 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ? | 1physics |
if a * b * c = 130 , b * c * d = 65 , c * d * e = 1000 and d * e * f = 150 the ( a * f ) / ( c * d ) = ? | 0general |
two numbers are less than third number by 25 % and 37 % respectively . how much percent is the second number less than by the first | 2gain |
for any integer k greater than 1 , the symbol k * denotes the product of all the fractions of the form 1 / t , where t is an integer between 1 and k , inclusive . what is the value of 6 * / 4 * ? | 0general |
if @ is a binary operation defined as the difference between an integer n and the product of n and 5 , then what is the largest positive integer n such that the outcome of the binary operation of n is less than 10 ? | 0general |
how many seconds will a 400 meter long train take to cross a man walking with a speed of 3 km / hr in the direction of the moving train if the speed of the train is 63 km / hr ? | 1physics |
if a and b are the roots of the equation x 2 - 8 x + 8 = 0 , then the value of a 2 + b 2 is : | 0general |
evaluate : 45678 * 8 * 4 * 8 = ? | 0general |
what is the total number of positive integers that are less than 200 and that have no positive factor in common with 200 other than 1 ? | 0general |
it costs $ 6 for the first 1 / 4 hour to use the copier at kinkos . after the first ¼ hour it costs $ 8 per hour . if a certain customer uses the copier for 4 hours and 25 minutes , how much will it cost him ? | 1physics |
population of a city in 20004 was 1300000 . if in 2005 there isan increment of 15 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city at the end of the year 2007 | 2gain |
a man invested rs . 50000 at the rate of 5 % p . a . for the first 3 years , 8 % p . a . for the next 5 years and 10 % p . a . for the period beyond 8 years . at the end of 11 years , he want to distribute total money among his 4 sons , how much money will each son get ? | 2gain |
a , b and c rents a pasture for rs . 841 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should a pay ? | 0general |
what is the probability that the sum of two dice will yield a 7 , and then when both are thrown again , their sum will again yield a 7 ? assume that each die has 6 sides with faces numbered 1 to 6 . | 4probability |
one fast typist type some matter in 2 hrs and another slow typist type the same matter in 3 hrs . if both do combine in how much time they will take to finish . | 5other |
how many internal diagonals does a nonagon ( nine sided polygon ) have ? | 3geometry |
if a lends rs . 3200 to b at 12 % per annum and b lends the same sum to c at 14.5 % per annum then the gain of b in a period of 5 years is ? | 2gain |
country x taxes each of its citizens an amount equal to 12 percent of the first $ 40,000 of income , plus 20 percent of all income in excess of $ 40,000 . if a citizen of country x is taxed a total of $ 8,000 , what is her income ? | 0general |
in a kilometer race , a beats b by 54 meters or 12 seconds . what time does a take to complete the race ? | 1physics |
find the average of all prime numbers between 60 and 90 | 0general |
5 letters have to be put in 5 different envelopes numbered 1 through 5 such that each of the letters go into only 1 envelope . the letter is said to be put in correct position if for example letter 1 goes into envelope 1 . now what is the probability that all letters be put into wrong envelopes ? | 4probability |
a rectangular lawn of dimensions 70 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ? | 3geometry |
the distance from city a to city b is 220 miles . while driving from city a to city b , bob drives at a constant speed of 40 miles per hour . alice leaves city a 30 minutes after bob . what is the minimum constant speed in miles per hour that alice must exceed in order to arrive in city b before bob ? | 1physics |
one fourth of a solution that was 10 % sugar by weight was replaced by a second solution resulting in a solution that was 18 percent sugar by weight . the second solution was what percent sugar by weight ? | 2gain |
the average salary / head of all the workers in a workshop is rs . 700 , if the average salary / head of 5 technician is rs . 800 and the average salary / head of the rest is rs . 650 , the total no . of workers in the work - shop is ? | 0general |
there are 9 executives , including the ceo and cfo , that are asked to form a small team of 5 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ? | 5other |
there are 720 male and female participants in a meeting . half the female participants and one - quarterof the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ? | 0general |
in the first 20 overs of a cricket game , the run rate was only 4.2 . what should be the rate in the remaining 30 overs to reach the target of 250 runs ? | 2gain |
in the biology lab of ` ` jefferson ' ' high school there are 0.036 * 10 ^ 5 germs , equally divided among 45000 * 10 ^ ( - 3 ) petri dishes . how many germs live happily in a single dish ? | 0general |
if the wheel is 10 cm then the number of revolutions to cover a distance of 1200 cm is ? | 1physics |
in an apartment building that has 441 units , 4 out of every 7 units are currently rented , including 1 / 5 of the one - bedroom units . if , of the rented apartments , there is a 6 : 1 ratio of two - bedroom units to one - bedroom units , and the building only consists of two - bedroom and one - bedroom units , how many two - bedroom units are not rented ? | 0general |
john was 35 years old when he married betty . they just celebrated their fifth wedding anniversary , and betty ' s age is now 7 / 8 of john ' s . how old is betty ? | 0general |
the owner of a furniture shop charges his customer 25 % more than the cost price . if a customer paid rs . 4800 for a computer table , then what was the cost price of the computer table ? | 2gain |
the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 675 sq m , then what is the breadth of the rectangular plot ? | 3geometry |
in a sports club with 30 members , 16 play badminton and 19 play tennis and 2 do not play either . how many members play both badminton and tennis ? | 5other |
two trains 50 m and 120 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 |
a large field of 500 hectares is divided into two parts . the difference of the areas of the two parts is one - fifth of the average of the two areas . what is the area of the smaller part in hectares ? | 0general |
a small college reduced its faculty by approximately 25 percent to 195 professors . what was the original number of faculty members ? | 2gain |
a rectangular grass field is 75 m * 55 m , it has a path of 3.5 m wide all round it on the outside . find the area of the path and the cost of constructing it at rs . 2 per sq m ? | 3geometry |
a jogger running at 9 km / hr along side a railway track is 240 m ahead of the engine of a 150 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? | 0general |
a bag making machine can make 20 bags per hour . if the company adjusts the machine to produce twice the amount per hour to satisfy expected rise in demand . how many bags can the machine make in the next 5 days if it works 10 hours a day ? | 1physics |
0 - - - : - | - - - : - - | - : - - : - | - - : - - - | - : - - - - 1 on the number line above , the segment from 0 to 1 has been divided into fifths , as indicated by the large tick marks , and also into sevenths , as indicated by the small tick marks . what is the least possible distance z between any two of the tick marks ? | 0general |
an alloy of copper and zinc contains copper and zinc in the ratio 3 : 5 . another alloy of copper and zinc contains copper and zinc in the ratio 6 : 2 . in what ratio should the two alloys be mixed so that the resultant alloy contains equal proportions of copper and zinc ? | 0general |
david obtained 76 , 65 , 82 , 67 and 85 marks ( out in 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? | 0general |
51 + 52 + 53 + . . . . . . . . . + 100 ) is equal to | 0general |
joan took out a mortgage from hel local bank . each monthly mortgage payment she makes must be triple the amount of the previous month ' s payment . if her first payment is $ 100 , and the total amount she must pay back is $ 2952400 , how many months will it take joan to pay back her mortgage ? | 0general |
a company decreased the price of its main product by 20 % . subsequently , the number of units sold increased such that the total revenue remained unchanged . what was the ratio of the percent increase in the units sold to the percent decrease of the original price for this product ? | 0general |
in how many ways 4 boys and 4 girls can be seated in a row so that boys and girls are alternate ? | 4probability |
the average of first five multiples of 3 is : | 0general |
the average age of an adult class is 40 years . 17 new students with an avg age of 32 years join the class . therefore decreasing the average by 4 year . find what was theoriginal strength of class ? | 0general |
a train requires 12 seconds to pass a pole while it requires 27 seconds to cross a stationary train which is 300 mtrs long . find the speed of the train . | 1physics |
a salesman sold twice as much pears in the afternoon than in the morning . if he sold 360 kilograms of pears that day , how many kilograms did he sell in the morning and how many in the afternoon ? | 5other |
two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 30 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ? | 1physics |
a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number f of people surveyed by the company ? | 5other |
a survey of n people in the town of eros found that 50 % of them preferred brand a . another survey of 130 people in the town of angie found that 60 % preferred brand a . in total , 55 % of all the people surveyed together preferred brand a . what is the total number of people surveyed ? | 0general |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.