Problem stringlengths 5 967 | category class label 6
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in an office in singapore there are 60 % female employees . 50 % of all the male employees are computer literate . if there are total 62 % employees computer literate out of total 1400 employees , then the no . of female employees who are computer literate ? | 2gain |
sales price is $ 81 , gross profit is 170 % of cost , what is the value of gross profit ? | 2gain |
if the product of two numbers is 17820 and their h . c . f . is 12 , find their l . c . m . | 1physics |
thabo owns exactly 160 books , and each book is either paperback fiction , paperback nonfiction , or hardcover nonfiction . if he owns 20 more paperback nonfiction books than hardcover nonfiction books , and twice as many paperback fiction books as paperback nonfiction books , how many hardcover books nonfiction books does thabo own ? | 0general |
if x + y = 2 x - 2 z , x - 2 y = 4 z and x + y + z = 21 , what is the value of y / z ? | 0general |
evaluate 100 / . 25 | 0general |
the price of rice falls by 20 % . how much rice can be bought now with the money that was sufficient to buy 10 kg of rice previously ? | 2gain |
what is the smallest integer that is the sum of 2 distinct prime integers , each greater than 70 ? | 0general |
for any integer k > 1 , the term “ length of an integer ” refers to the number of positive prime factors , not necessarily distinct , whose product is equal to k . for example , if k = 24 , the length of k is equal to 4 , since 24 = 2 × 2 × 2 × 3 . if x and y are positive integers such that x > 1 , y > 1 , and x + 3 y < 940 , what is the maximum possible sum of the length of x and the length of y ? | 0general |
how many 7 in between 1 to 100 ? | 0general |
the perimeter of a semi circle is 162 cm then the radius is ? | 1physics |
together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many hours r would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ? | 1physics |
the cricket team of 11 members is 28 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 , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 400 when the rate to profit rises from 5 to 7 percent . find the capital of b ? | 0general |
a reduction of 30 % in the price of apples would enable a man to obtain 54 more for rs . 30 , what is reduced price per dozen ? | 2gain |
a certain psychologist charges $ 35 more for the first hour of therapy than for each additional hour . if the total charge to a patient who receives 5 hours of therapy is $ 350 , what is the total charge to a patient who receives only 2 hours of therapy ? | 0general |
the average length of 6 ropes is 80 cm . if the average length of one third of the ropes measure to 70 cm , what is the average of the other ropes ? | 0general |
x and y are two towns . ganesh covers the distance from x to y at an average speed of 44 km / hr . however , he covers the distance from y to x at an average speed of 36 km / hr . his average speed during the whole journey in km / hr . is : | 0general |
if the cost price is 95 % of selling price then what is the profit percentage . | 2gain |
one fourth of a solution that was 10 % sugar by weight was replaced by a second solution resulting in a solution that was 20 percent sugar by weight . the second solution was what percent sugar by weight ? | 2gain |
a circular logo is enlarged to fit the lid of a jar . the new diameter is 20 per cent larger than the original . by what percentage has the area of the logo increased ? | 3geometry |
what is the perimeter of a square field whose diagonal is 8 √ 2 ? | 3geometry |
in a division sum , the quotient is 120 , the divisor 456 and the remainder 333 , find the dividend ? | 0general |
what is the remainder when ( 71 ) ( 73 ) is divided by 9 ? | 0general |
what is the probability that a number selected from number 1 to 30 is prime number , when each of the given numbers is equally likely to be selected ? | 4probability |
a grocer purchased a quantity of bananas at 3 pounds for $ 0.50 and sold the entire quantity at 4 pounds for $ 1.00 . how many pounds did the grocer purchase if the profit from selling the bananas was $ 8.00 ? | 2gain |
the volume of a certain substance is always directly proportional to its weight . if 48 cubic inches of the substance weigh 112 ounces , what is the volume , in cubic inches , of 53 ounces of this substance ? | 3geometry |
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . if they cross each other in 22 seconds , what is the ratio of their speeds ? | 1physics |
roses can be purchased individually for $ 5.30 , one dozen for $ 36 , or two dozen for $ 50 . what is the greatest number of roses that can be purchased for $ 680 ? | 0general |
the salaries of a and b together is rs . 14000 . a spend 80 % of his salary and b spends 85 % of his salary . what is the salary of b if their savings are equal ? | 2gain |
how many of the positive divisors q of 120 are also multiples of 4 not including 120 ? | 0general |
how many integers between 323,700 and 458,600 have tens digit 1 and units digit 3 ? | 0general |
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 / 6 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 |
11 + 12 + 13 + . . . 51 + 52 + 53 = ? | 0general |
a man buys 52 pens at marked price of 46 pens from a whole seller . if he sells these pens giving a discount of 1 % , what is the profit percent ? | 2gain |
express 50 mps in kmph ? | 1physics |
the total price of a kilogram each of shimla apples and red delicious apples is 250 rupees more than the total price of a kilogram each of red delicious apples and fuji apples . fuji apples is how much cheaper than shimla apples ? | 0general |
how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 138 m length ? | 1physics |
what is the 25 th digit to the right of the decimal point in the decimal form of 6 / 11 ? | 0general |
a sum of money lent out at s . i . amounts to a total of $ 590 after 2 years and to $ 815 after a further period of 5 years . what was the initial sum of money that was invested ? | 0general |
if 5 < x < 9 and y = x + 7 , what is the greatest possible integer value of x + y ? | 0general |
there are 8 students . 4 of them are men and 4 of them are women . if 4 students are selected from the 8 students . what is the probability that the number of men is equal to that of women ? | 4probability |
how many seconds will a train 200 meters long running at the rate of 36 kmph take to pass a certain telegraph post ? | 1physics |
a circular logo is enlarged to fit the lid of a jar . the new diameter is 40 per cent larger than the original . by what percentage has the area of the logo increased ? | 3geometry |
a , b and c enter into a partnership by investing $ 11000 , $ 15000 and $ 23000 respectively . at the end of 8 months , b receives $ 3315 as his share . find the share of a . | 2gain |
a reduction of 35 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 800 , what is the reduced price for kg ? | 2gain |
water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 90 grams of water ? | 5other |
suppose 3 monkeys take 3 minutes to eat 3 bananas . how many monkeys would it take to eat 6 bananas in 6 minutes ? | 1physics |
a dessert recipe calls for 50 % melted chocolate and 50 % raspberry puree to make a particular sauce . a chef accidentally makes 15 cups of the sauce with 40 % melted chocolate and 60 % raspberry puree instead . how many cups of the sauce does he need to remove and replace with pure melted chocolate to make the sauce the proper 50 % of each ? | 2gain |
if x and y are both odd prime numbers andx < y , then how many different positive integer factors does 2 xyhave ? | 5other |
1 , 6 , 24 , 60 , 120 , 210 , ___ ? | 0general |
there are 30 students in a classroom . the ratio of the # of girls to boys was 1 : 2 , how many boys are there ? | 5other |
99 ! how many zero ' s ? | 5other |
in a kilometer race , a beats b by 40 meters or 8 seconds . what time does a take to complete the race ? | 1physics |
the volume of a sphere with radius r is ( 4 / 3 ) * pi * r ^ 3 and the surface area is 4 * pi * r ^ 3 . if a sperical balloon has a volume of 4500 pi cubic centimeters , what is hte surface area of the balloon in square centimeters ? | 3geometry |
in what time will a train 300 m long cross an electric pole , it its speed be 144 km / hr ? | 1physics |
anand and deepak started a business investing rs . 2250 and rs . 3200 respectively . out of a total profit of rs . 1380 , deepak ' s share is : | 2gain |
the parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) | 3geometry |
find the probability that a leap year selected at random will not have 53 sundays | 4probability |
a can do a piece of work in 3 hours ; b and c together can do it in 3 hours , while a and c together can do it in 2 hours . how long will b alone take to do it ? | 1physics |
the area of the floor of a room is 20 m 2 that of a longer wall 15 m 2 and of the shorter wall 12 m 2 , find the edge of the new cube ? | 3geometry |
in a 200 m race , if a gives b a start of 25 metres , then a wins the race by 10 seconds . alternatively , if a gives b a start of 45 metres the race ends in a dead heat . how long does a take to run 200 m ? | 1physics |
if a farmer wants to plough a farm field on time , he must plough 340 hectares a day . for technical reasons he ploughed only 85 hectares a day , hence he had to plough 2 more days than he planned and he still has 40 hectares left . what is the area of the farm field and how many days the farmer planned to work initially ? | 1physics |
p is 60 % more efficient than q . p can complete a work in 26 days . if p and q work together , how many days will it take to complete the same work ? | 1physics |
if the cost price is 92 % of sp then what is the profit % | 2gain |
a sum was put a simple interest at a certain rate for 7 years . had it been put at 2 % higher rate , it would have fetched rs . 350 more . the sum is : | 2gain |
the size of a flat - screen television is given as the length of the screen ’ s diagonal . how many square inches greater is the screen of a square 34 - inch flat - screen television than a square 27 - inch flat - screen television ? | 3geometry |
â ˆ š 1.5625 = ? | 0general |
the tax on a commodity is diminished by 20 % but its consumption is increased by 20 % . find the decrease percent in the revenue derived from it ? | 0general |
three cubes of metal whose edges are 9 , 12 and 18 cm respectively , are melted and one new cube is made . find the edge of the new cube ? | 1physics |
find ( 7 x + 4 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ? | 0general |
the price of lunch for 12 people was $ 207 including a 15 % gratuity for service . what was the average price per person , excluding the gratuity ? | 0general |
the banker ' s gain on a sum due 3 years hence at 12 % per annum is rs . 270 . the banker ' s discount is : | 2gain |
a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 26000 , then the share of a is ? | 2gain |
by selling 150 apples , a fruit - seller gains the selling price of 30 apples . find the gain percent ? | 2gain |
a certain number of horses and an equal number of men are going somewhere . half of the owners are on their horses ' back while the remaining ones are walking along leading their horses . if the number of legs walking on the ground is 70 , how many horses are there ? | 0general |
617 x 617 + 583 x 583 = ? | 0general |
what positive number , when squared , is equal to the cube of the positive square root of 15 ? | 3geometry |
a cube with its sides numbered 1 through 6 is rolled twice , first landing on a and then landing on b . if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6 , what is the probability t that a + b is prime ? | 0general |
a man invested rs . 14400 in rs . 100 shares of a company at 20 % premium . if the company declares 7 % dividend at the end of the year , then how much does he get ? | 2gain |
a boy standing idle sounds a whistle to his friend at a distance of 1200 m moving away from him in a speeding car at 108 kms / hr . find the duration after which his friend is going to hear him . ( speed of sound = 330 m / sec ) . | 1physics |
if ' a ' and ' b ' are non - zero numbers such that their sum is 6 times the product , what is the value of 1 / a + 1 / b ? | 0general |
two integers are in the ratio of 1 to 4 . if 12 is added to the smaller number , the ratio becomes 1 to 2 . find the larger integer . | 5other |
if the annual increase in the population of a town is 10 % and the present number of people is 11000 , what will the population be in 2 years ? | 2gain |
shannon and maxine work in the same building and leave work at the same time . shannon lives due north of work and maxine lives due south . the distance between maxine ' s house and shannon ' s house is 60 miles . if they both drive home at the rate 2 r miles per hour , maxine arrives home 30 minutes after shannon . if maxine rider her bike home at the rate of r per hour and shannon still drives at a rate of 2 r miles per hour , shannon arrives home 2 hours before maxine . how far does maxine live from work ? | 1physics |
the owner of a furniture shop charges his customer 15 % more than the cost price . if a customer paid rs . 6400 for a computer table , then what was the cost price of the computer table ? | 2gain |
a train speeds past a pole in 15 seconds and a platform 140 meters long in 25 seconds . what is the length of the train ( in meters ) ? | 1physics |
it takes 3 workers a total of 15 hours to build a giant machine with each worker working at the same rate . if 5 workers start to build the machine at 11 : 00 am , and one extra worker per hour is added beginning at 1 : 00 pm , at what time will the machine be complete ? | 0general |
on the number line , if x is halfway between - 11 and 5 , and if y is halfway between - 3 and 7 , what number is halfway between x and y ? | 0general |
john and david work at a hospital with 4 other workers . for an internal review , 2 of the 4 workers will be randomly chosen to be interviewed . what is the probability that john and david will both be chosen ? | 1physics |
if w / x = 5 / 7 and w / y = 4 / 7 , then ( x + y ) / y = | 0general |
a worker ' s take - home pay last year was the same each month , and she saved the same fraction of her take - home pay each month . the total amount of money that she had saved at the end of the year was 6 times the amount of that portion of her monthly take - home pay that she did not save . if all the money that she saved last year was from her take - home pay , what fraction of her take - home pay did she save each month ? | 0general |
the product of two numbers is 4107 . if the h . c . f of these numbers is 37 , then the greater number is : | 0general |
marts income is 60 percent more than tims income and tims income is 40 percent less than juans income . what percentage of juans income is marts income | 0general |
on a trip , a cyclist averaged 8 miles per hour for the first 12 miles and 12 miles per hour for the remaining 24 miles . if the cyclist returned immediately via the same route and took a total of 7.5 hours for the round trip , what was the average speed ( in miles per hour ) for the return trip ? | 1physics |
the price of a t . v . set worth rs . 20000 is to be paid in 20 installments of rs . 1000 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 |
working alone , pump a can empty a pool in 4 hours . working alone , pump b can empty the same pool in 6 hours . working together , how many minutes will it take pump a and pump b to empty the pool ? | 1physics |
1704 x 1704 = ? | 0general |
the radius of a semi circle is 6.83 cm then its perimeter is ? | 1physics |
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 $ 109300 , how many months will it take joan to pay back her mortgage ? | 0general |
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