Problem stringlengths 5 967 | category class label 6
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there are 79 people that own pets . 15 people own only dogs , 10 people own only cats , 5 people own only cats and dogs , 3 people own cats , dogs and snakes . how many total snakes are there ? | 0general |
a man traveled a total distance of 900 km . he traveled one - third of the whole trip by plane and the distance traveled by train is two - thirds of the distance traveled by bus . if he traveled by train , plane and bus , how many kilometers did he travel by bus ? | 1physics |
the cash difference between the selling prices of an article at a profit of 2 % and 6 % is rs . 3 . the ratio of the two selling prices is ? | 2gain |
in an it company , there are a total of 60 employees including 50 programmers . the number of male employees is 80 , including 35 male programmers . how many employees must be selected to guaranty that we have 3 programmers of the same sex ? | 0general |
machine a takes 20 hours to complete a certain job and starts that job at 6 am . after four hour of working alone , machine a is joined by machine b and together they complete the job at 1 pm . how long would it have taken machine b to complete the job if it had worked alone for the entire job ? | 1physics |
two pipes can fill the cistern in 10 hr and 12 hr respectively , while the third empty it in 15 hr . if all pipes are opened simultaneously , then the cistern will be filled in | 1physics |
to fill a tank , 100 buckets of water is required . how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to four - fifth of its present ? | 1physics |
in what time will a railway train 65 m long moving at the rate of 32 kmph pass a telegraph post on its way ? | 1physics |
a rectangular grass field is 75 m * 55 m , it has a path of 2.8 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 |
the rational number for recurring decimal 0.125125 . . . . is : | 5other |
if n is a natural number , then ( 7 ( n 2 ) + 7 n ) is always divisible by : | 0general |
how many of the positive divisors of 360 are also multiples of 4 not including 360 ? | 0general |
3 candidates in an election and received 1136 , 8236 and 11628 votes respectively . what % of the total votes did the winning candidate gotin that election ? | 2gain |
if 12 men or 20 women can do a piece of work in 81 days , then in how many days can 9 men and 12 women together do the work ? | 1physics |
increasing the original price of an article by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by | 2gain |
a merchant purchased a jacket for $ 48 and then determined a selling price that equalled the purchase price of the jacket plus a markup that was 40 percent of the selling price . during a sale , the merchant discounted the selling price by 20 percent and sold the jacket . what was the merchant ’ s gross profit on this ... | 2gain |
pascal has 96 miles remaining to complete his cycling trip . if he reduced his current speed by 4 miles per hour , the remainder of the trip would take him 16 hours longer than it would if he increased his speed by 50 % . what is his current speed o ? | 1physics |
in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation .... | 5other |
the probability that a number selected at random from the first 100 natural numbers is a composite number is ? | 4probability |
a circular logo is enlarged to fit the lid of a jar . the new diameter is 60 per cent larger than the original . by what percentage has the area of the logo increased ? | 3geometry |
if 4 men working 10 hours a day earn rs . 1000 per week , then 9 men working 6 hours a day will earn how much per week ? | 1physics |
the ages of two person differ by 20 years . if 10 years ago , the elder one be 5 times as old as the younger one , their present ages ( in years ) are respectively | 0general |
a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 90,000 . the 75 associates have an average salary of $ 30,000 . what is the average salary for the company ? | 0general |
in an election , candidate a got 75 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favour of candidate ? | 2gain |
if 7 is one solution of the equation x ^ 2 + 3 x + k = 10 , where k is a constant , what is the other solution ? | 0general |
if both 112 and 33 are factors of the number a * 43 * 62 * 1311 , then what is the smallest possible value of a ? | 5other |
two isosceles triangles have equal vertical angles and their areas are in the ratio 9 : 25 . find the ratio of their corresponding heights . | 3geometry |
a straight line in the xy - plane has y - intercept of 20 . on this line the x - coordinate of the point is 150 and y - coordinate is 600 then what is the slope of the line ? | 0general |
a case contains c cartons . each carton contains b boxes , and each box contains 400 paper clips . how many paper clips are contained in 2 cases ? | 0general |
the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot @ rs . 26.50 per metre is rs . 5300 , what is the length of the plot in metres ? | 1physics |
mohit sold an article for $ 15000 . had he offered a discount of 10 % on the selling price , he would have earned a profit of 8 % . what is the cost price of the article ? | 2gain |
calculate the time it will take for a train that is 250 meter long to pass a bridge of 150 meter length , if the speed of the train is 35 km / hour ? | 1physics |
a number increased by 20 % gives 480 . the number is ? | 2gain |
if k ^ 3 is divisible by 1620 , what is the least possible value of integer k ? | 0general |
what least number should be added to 1052 , so that the sum is completely divisible by 23 | 0general |
ramesh purchased a refrigerator for rs . 12500 after getting a discount of 20 % on the labelled price . he spent rs . 125 on transport and rs . 250 on installation . at what price should it be sold so that the profit earned would be 16 % if no discount was offered ? | 2gain |
in a simultaneous throw of a pair of dice , find the probability of getting a total more than 7 | 0general |
a certain taxi company charges $ 3.00 for the first 1 / 5 of a mile plus $ 0.40 for each additional 1 / 5 of a mile . what would this company charge for a taxi ride that was 8 miles long ? | 0general |
the sum of 3 consecutive even numbers is 246 . what are the numbers ? | 1physics |
if 4 men can colour 48 m long cloth in 2 days , then 6 men can colour 36 m long cloth in | 1physics |
the length of each side of square a is increased by 100 percent to make square b . if the length of the side of square b is increased by 40 percent to make square c , by what percent is the area of square c greater than the sum of the areas of squares a and b ? | 3geometry |
a fruit seller had some apples . he sells 40 % apples and still he has 420 . originally he had how many apples ? | 2gain |
a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 228 for it , the cost price of the cricket bat for a is : | 2gain |
by weight , liquid x makes up 0.8 percent of solution a and 1.8 percent of solution b . if 300 grams of solution a are mixed with 700 grams of solution b , then liquid x accounts for what percent of the weight of the resulting solution ? | 2gain |
two pipes a and b can fill a tank in 10 hour and 15 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ? | 1physics |
if x # y is defined to equal x ^ 2 / y for all x and y , then ( - 1 # 3 ) # 3 = | 0general |
how many integers between 362,855 and 852,755 have tens digit 1 and units digit 3 ? | 0general |
a train covers a distance of 12 km in 10 min . if it takes 15 sec to pass a telegraph post , then the length of the train is ? | 1physics |
two right circular cylinders of equal volumes have their heights in the ratio 1 : 2 . find the ratio of their radii . | 3geometry |
a certain country had a total annual expenditure of $ 4.8 x 10 ^ 11 last year . if the population of the country was 240 million last year , what was the per capita expenditure ? | 0general |
a waitress ' s income consists of her salary and tips . during one week , her tips were 2 / 4 of her salary . what fraction of her income for the week came from tips ? | 0general |
what is the sum of all even numbers from 1 to 601 ? | 0general |
60 percent of movie theatres in town x have 3 screens or less . 20 % of those theatres sell an average of more than $ 200 worth of popcorn per showing . 56 percent of all the movie theatres in town x sell $ 300 or less of popcorn per showing . what percent of all the stores on the street have 4 or more screens and sell... | 0general |
in a certain pond , 70 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the p... | 2gain |
there are 990 male and female participants in a meeting . half the female participants and one - quarter of the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ? | 0general |
5 years ago amith was 3 times as old as his daughter and 10 years hence , he will be two times as old as his daughter . then amith ’ s current age is , | 0general |
at a tanning salon , customers are charged $ 10 for their first visit in a calendar month and $ 7 for each visit after that in the same calendar month . in the last calendar month , 100 customers visited the salon , of which 30 made a second visit , and 10 made a third visit . all other customers made only one visit . ... | 1physics |
a retailer buys a radio for rs 232 . his overhead expenses are rs 15 . he sellis the radio for rs 300 . the profit percent of the retailer is | 2gain |
a batch of cookies was divided among 3 tins : 2 / 3 of all the cookies were placed in either the blue tin or the green tin , and the rest were placed in the red tin . if 1 / 4 of all the cookies were placed in the blue tin , what fraction q of the cookies that were placed in the other tins were placed in the green tin ... | 0general |
aaron will jog from home at 3 miles per hour and then walk back home by the same route at 6 miles per hour . how many miles from home can aaron jog so that he spends a total of 3 hours jogging and walking ? | 1physics |
a man engaged a servant on the condition that he would pay him rs . 710 and a uniform after a year service . he served only for 8 months and got rs . 460 and a uniform . find the price of the uniform ? | 0general |
the cricket team of 11 members is 26 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of theremaining players is 1 year less than the average age of the whole team . what is the average age of the team ? | 0general |
a student has to obtain 33 % of the total marks to pass . he got 125 marks and failed by 73 marks . the maximum marks are ? | 0general |
a ratio between two numbers is 3 : 4 and their l . c . m . is 180 . the first number is | 5other |
mike , jim and bob are all professional fisherman . mike can catch 30 fish in one hour , jim can catch twice as much and bob can catch 50 % more than jim . if the 3 started to fish together and after 40 minutes mike and bob left , how many fish did the 3 fishermen catch in one hour ? | 1physics |
in a certain game of dice , the player ’ s score is determined as a sum of two throws of a single die . the player with the highest score wins the round . if more than one player has the highest score , the winnings of the round are divided equally among these players . if john plays this game against 22 other players ... | 0general |
it was calculated that 75 men could complete a piece of work in 10 days . when work was scheduled to commence , it was found necessary to send 25 men to another project . how much longer will it take to complete the work ? | 1physics |
two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs , x and y . now , jug x is 1 / 7 full , while jug y is 2 / 3 full . if water is poured from jug x into jug y until jug y is filled , what fraction of jug x then contains water ? | 0general |
a grocery store bought some mangoes at a rate of 4 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of 6 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes... | 5other |
if the weight of 13 meters long rod is 13.4 kg . what is the weight of 6 meters long rod ? | 1physics |
if each side of a rectangle is increased by 50 % with the length being double the width , find the percentage change in its area ? | 3geometry |
the length of a room is 5.5 m and width is 3.75 m . find the cost of paying the floor by slabs at the rate of rs . 800 per sq . metre | 1physics |
if the area of a circle decreases by 25 % , then the radius of a circle decreases by | 3geometry |
alfred buys an old scooter for $ 4700 and spends $ 1000 on its repairs . if he sells the scooter for $ 5800 , his gain percent is ? | 2gain |
find the average of all the numbers between 11 and 36 which are divisible by 5 . | 0general |
how many e ways can jason sit with his 5 friends in a row of 6 seats with an aisle on either side of the row , if jason insists on sitting next to one of the aisles ? | 0general |
56 : 65 : : 68 : ? | 0general |
in the biology lab of ` ` jefferson ' ' high school there are 0.037 * 10 ^ 5 germs , equally divided among 148000 * 10 ^ ( - 3 ) petri dishes . how many germs live happily in a single dish ? | 0general |
the sum of ages of 5 children born 1.5 years different each is 50 years . what is the age of the elder child ? | 0general |
what is the average ( arithmetic mean ) of all multiples of 10 from 10 to 100 inclusive ? | 0general |
a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 5 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ? | 1physics |
what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 4 ? | 0general |
in an election a candidate who gets 60 % of the votes is elected by a majority of 1200 votes . what is the total number of votes polled ? | 2gain |
if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 5000 in a long term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of investment 18 years later , whe... | 0general |
tomeka is playing a dice game . if she rolls the same number on her second roll as she rolls on her first , she wins . each roll is with two , fair , 6 - sided dice . if tomeka rolled a 7 on her first roll , what is the probability that she will win on her second roll ? | 4probability |
a company has 15 managers and 75 associates . the 15 managers have an average salary of $ 90000 . the 75 associates have an average salary of $ 30000 . what is the average salary for the company ? | 0general |
a man can row upstream at 37 kmph and downstream at 53 kmph , and then find the speed of the man in still water ? | 1physics |
a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 2 . the ratio of economy cars to sport utility vehicles is 5 : 4 . what is the ratio of luxury cars to sport utility vehicles ? | 5other |
in a certain apartment building , there are one - bedroom and two - bedroom apartments . the rental prices of the apartment depend on a number of factors , but on average , two - bedroom apartments have higher rental prices than do one - bedroom apartments . let m be the average rental price for all apartments in the b... | 0general |
solve below question 2 x - 1 = 17 | 0general |
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 $ 0.54 more than jane , what was the original price of the dish ? | 2gain |
80 % of 5 / 8 = | 0general |
if n is a positive integer and n ^ 2 is divisible by 72 , then the largest positive integer t that must divide n is ? | 0general |
angelina walked 720 meters from her home to the grocery at a constant speed . she then walked 480 meters to the gym at double the speed . she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to t... | 1physics |
the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years . tee age of the 15 th student is : | 0general |
john and peter are among the 9 players a volleyball coach can choose from to field a 6 - player team . if all 6 players are chosen at random , what is the probability of choosing a team that includes john and peter ? | 4probability |
a certain company has records stored with a record storage firm in 15 - inch by 12 - inch by 10 - inch boxes . the boxes occupy 1.08 million cubic inches of space . if the company pays $ 0.6 per box per month for the record storage , what is the total amount that the company pays each month for record storage ? | 0general |
how many diagonals does a 62 - sided convex polygon have ? | 0general |
if y > 0 , ( 8 y ) / 20 + ( 3 y ) / 10 is what percent of y ? | 0general |
how many kg of pure salt must be added to 30 kg of 2 % solution of salt and water to increase it to a 10 % solution ? | 0general |
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