Problem stringlengths 5 967 | category class label 6
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a and b can do a piece of work in 40 days and 40 days respectively . they work together for 10 days and b leaves . in how many days the whole work is completed ? | 1physics |
in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 20 overs to reach the target of 282 runs ? | 2gain |
a car dealership has 40 cars on the lot , 30 % of which are silver . if the dealership receives a new shipment of 80 cars , 40 % of which are not silver , what percentage of total number of cars are silver ? | 2gain |
a person walks at a speed of 4 km / hr and runs at a speed of 8 km / hr . how many hours will the person require to cover a distance of 12 km , if the person completes half of the distance by walking and the other half by running ? | 1physics |
the total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year , less the age of the tree in years ( rounded down to the nearest integer ) . during its 5 th year , the plum tree grew 50 plums . if this trend continues , how many plums will it grow during its 6 th year ? | 0general |
in what ratio must rice of rs . 32 per kg be mixed with rice of rs . 42 per kg so that cost of mixture is rs . 20 per kg ? | 5other |
in a lottery there are 10 prizes and 25 blanks . a lottery is drawn at random . what is the probability of getting a prize ? | 4probability |
if the number is divided by 3 , it reduced by 48 . the number is | 0general |
an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 80 cm , find the sum of the perimeters of all the triangles . | 3geometry |
if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 26 , then n = | 0general |
if a - b = 5 and a 2 + b 2 = 34 , find the value of ab . | 0general |
john makes $ 60 a week from his job . he earns a raise and now makes $ 110 a week . what is the % increase ? | 2gain |
a certain number of workers can do a work in 35 days . if there were 10 workers more it could be finished in 10 days less . how many workers are there ? | 1physics |
in the formula a = ( 2 r ) ^ 3 , if r is halved , then a is multiplied by ? | 0general |
the value of a machine depreciates at 20 % per annum . if its present value is rs . 1 , 50,000 , at what price should it be sold after two years such that a profit of rs . 22,000 is made ? | 2gain |
a cycle is bought for rs . 900 and sold for rs . 1180 , find the gain percent ? | 2gain |
all the students of class are told to sit in circle shape . here the boy at the 8 th position is exactly opposite to 33 th boy . total number of boys in the class ? | 0general |
45 girls and 60 boys are present at a party . there are 17 girl - boy are in relationship among them . if a girl and a boy is selected at random , what is the probability that they will be not a couple ? | 4probability |
if p ( a ) = 2 / 15 , p ( b ) = 4 / 15 , and p ( a â ˆ ª b ) = 11 / 15 find p ( a | b ) | 0general |
how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 134 m length ? | 1physics |
what percent is 70 of 280 ? | 2gain |
ifaequals the sum of the even integers from 2 to 40 , inclusive , andbequals the sum of the odd integers from 1 to 39 , inclusive , what is the value of a - b ? | 0general |
a train running at the speed of 90 km / hr crosses a pole in 12 seconds . find the length of the train ? | 1physics |
two cars , car 1 and car 2 move towards each other from e and y respectively with respective speeds of 20 m / s and 15 m / s . after meeting each other car 1 reaches y in 10 seconds . in how many seconds does car 2 reach e starting from y ? | 1physics |
the radius of a semicircular plot is 25 . what is the approximate perimeter of the plot ? | 3geometry |
how many two - digit whole numbers yield a remainder of 3 when divided by 10 and also yield a remainder of 3 when divided by 4 ? options : | 0general |
on a race track a maximum of 5 horses can race together at a time . there are a total of 25 horses . there is no way of timing the races . what is the minimum number t of races we need to conduct to get the top 3 fastest horses ? | 0general |
from the beginning to the end of 2007 , the price of a stock rose 20 percent . in 2008 , it dropped 25 percent . in 2009 , it rose 30 percent . what percent of the stock â € ™ s 2007 starting price was the price of the stock at the end of 2009 ? | 2gain |
a rectangular tiled patio is composed of 40 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 40 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ? | 3geometry |
set s consists of integers { 6 , 7 , 10 , 12 , 15 } . if integer n is included in the set , the average ( arithmetic mean ) of set s will increase by 40 % . what is the value of integer n ? | 0general |
a girl was asked to multiply a certain number by 43 . she multiplied it by 34 and got his answer less than the correct one by 1224 . find the number to be multiplied . | 0general |
what will be the difference between simple and compound interest @ 20 % per annum on a sum of $ 500 after 2 years ? | 2gain |
martins made a part payment of $ 650 toward buying a brand new washing machine , which represents 15 % of the total cost of the washing machine , how much remains to be paid ? | 0general |
a small , rectangular park has a perimeter of 560 feet and a diagonal measurement of 300 feet . what is its area , in square feet ? | 3geometry |
in the storage room of a certain bakery , the ratio of sugar to flour is 5 to 6 , and the ratio of flour to baking soda is 10 to 1 . if there were 60 more pounds of baking soda in the room , the ratio of flour to baking soda would be 8 to 1 . how many pounds of sugar are stored in the room ? | 0general |
the h . c . f of two numbers is 19 and their l . c . m is 4263 . if one of the numbers is 399 , then the other is ? | 1physics |
in a restaurant , the profit is 110 % of the cost . if the cost increases by 12 % but the selling price remains constant , approximately what percentage of the selling price is the profit ? | 2gain |
at a loading dock , each worker on the night crew loaded 3 / 4 as many boxes as each worker on the day crew . if the night crew has 3 / 4 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ? | 1physics |
walking 6 / 5 of his usual rate , a boy reaches his school 4 min early . find his usual time to reach the school ? | 2gain |
how many seconds will a 500 m 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 66 km / hr ? | 1physics |
what number times ( 1 ⁄ 4 ) ^ 2 will give the value of 4 ^ 3 ? | 0general |
a vendor bought toffees at 6 for a rupee . how many for a rupee must he sell to gain 25 % ? | 2gain |
one night 19 percent of the female officers on a police force were on duty . if 152 police officers were on duty that night and half of these were female officers , how many female officers were on the police force ? | 2gain |
a car ferry can hold up to 70 tons of cargo . what is the greatest number of vehicles that the ferry can carry if half the vehicles are cars with an average ( arithmetic mean ) weight of 0.75 tons and half of the vehicles are trucks with an average ( arithmetic mean ) weight of 6 tons ? | 0general |
a train passes a platform in 35 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is | 1physics |
a grocer has 400 pounds of coffee in stock , 20 percent of which is decaffeinated . if the grocer buys another 100 pounds of coffee of which 50 percent is decaffeinated , what percent , by weight , of the grocer ’ s stock of coffee is decaffeinated ? | 2gain |
praveen starts business with rs . 3220 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ? | 5other |
how many integers from 22 to 160 , inclusive , are divisible by 3 but not divisible by 7 ? | 0general |
8 identical machines , working alone and at their constant rates , take 6 hours to complete a job lot . how long would it take for 4 such machines to perform the same job ? | 1physics |
a candidate got 35 % of the votes and lost to the rival by 2100 votes . how many votes were cast ? | 2gain |
if you write down all the numbers from 1 to 25 , then how many times do you write 3 ? | 0general |
what is the square root of 81 , divided by 3 ? | 5other |
the mean of 30 values was 250 . it was detected on rechecking that one value 165 was wrongly copied as 135 for the computation of the mean . find the correct mean . | 0general |
a cyclist rides a bicycle 9 km at an average speed of 11 km / hr and again travels 11 km at an average speed of 9 km / hr . what is the average speed for the entire trip ? | 0general |
a man can row upstream at 26 kmph and downstream at 30 kmph , and then find the speed of the man in still water ? | 1physics |
in a group of 60 people , 35 have visited iceland and 23 have visited norway . if 31 people have visited both iceland and norway , how many people have visited neither country ? | 5other |
a reduction of 5 % in the price of oil enables a house wife to obtain 10 kgs more for rs . 5000 , what is the reduced price for kg ? | 2gain |
if a 2 - b 2 = 10 and a * b = 8 , find a 4 + b 4 . | 0general |
find the sum of first 80 odd numbers | 0general |
of 58 players on a cricket team , 37 are throwers . the rest of the team is divided so one third are left - handed and the rest are right handed . assuming that all throwers are right handed , how many right - handed players are there total ? | 0general |
the amount of principal rs . 8000 at compound interest at the ratio of 5 % p . a . for 6 years is | 2gain |
angelo and isabella are both salespersons . in any given week , angelo makes $ 590 in base salary plus 8 percent of the portion of his sales above $ 1,000 for that week . isabella makes 10 percent of her total sales for any given week . for what amount of weekly sales would angelo and isabella earn the same amount of money ? | 0general |
the product of the squares of two positive integers is 1600 . how many pairs of positive integers satisfy this condition ? | 3geometry |
what percent is 20 % of 25 % ? | 2gain |
walking at 40 % of his usual speed a man takes 24 minutes more to cover a distance . what is his usual time to cover this distance ? | 1physics |
the area of the largest circle that can be drawn inside a square of side 70 cm in length is : | 3geometry |
there are 660 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 |
the speed of a train is 70 kmph . what is the distance covered by it in 10 minutes ? | 1physics |
what is the ratio e of the surface area of a cube to the surface area of a rectangular solid identical to the cube in all ways except that its length has been doubled ? | 3geometry |
if the operation @ is defined for all a and b by the equation a @ b = ( a ^ b ) / 2 , then ( 3 @ 2 ) = ? | 0general |
a boat can travel with a speed of 10 km / hr in still water . if the speed of the stream is 8 km / hr , find the time taken by the boat to go 54 km downstream . | 1physics |
there is enough provisions for 9600 women in an army camp for 400 days . if there were 4800 men less , how long will the provision last ? | 1physics |
if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 3 . | 0general |
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 60 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 |
a and b began business with rs . 6000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 630 find the share of a . | 2gain |
a , b and c rents a pasture for rs . 950 . a put in 12 horses for 8 months , b 16 horses for 9 months and 18 horses for 6 months . how much should c pay ? | 0general |
in what ratio p : q should the mixture p of milk and water in the ratio of 2 : 1 be mixed with another mixture q of milk and water in the ratio 1 : 5 so that the resultant mixture contains equal quantities of milk and water ? | 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 350 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 200 ? | 0general |
ifaequals the sum of the even integers from 2 to 80 , inclusive , andbequals the sum of the odd integers from 1 to 79 , inclusive , what is the value of a - b ? | 0general |
if 31 % of a number is 46.5 , the number is ? | 2gain |
if an average hard drive had a capacity of 0.6 tb in 2000 , and average hard drive capacities double every 5 years , what will be the average hard drive capacity in 2050 ? | 0general |
two digits in father ' s age are the same as the digit in the son ' s age , but in reverse order . in 5 years father will be twice as old as son will be then . what is the difference in their current age ? | 0general |
a train running at the speed of 60 km / hr crosses a pole in 18 seconds . what is the length of the train ? | 1physics |
the average monthly income of a and b is rs . 5050 . the average monthly income of b and c is rs . 6250 and the average monthly income of a and c is rs . 5200 . what is the monthly income of a ? | 0general |
x , y , and z are different prime numbers . the product x ^ 3 * y ^ 2 * z ^ 1 is divisible by how many different positive numbers ? | 0general |
a man is 28 years older than his son . in four years , his age will be twice the age of his son . the present age of this son is | 0general |
the length of a rectangular floor is more than its breadth by 200 % . if rs . 529 is required to paint the floor at the rate of rs . 3 / sq m , what would be the length of the floor ? | 2gain |
walking at 5 / 6 th of its usual speed a cab is 8 mnts late . find its usual time to cover the journey ? | 1physics |
a and b can do a piece of work in 4 days . b and c can do it in 12 days and a and c in 16 days . working together they will complete the work in how many days ? | 1physics |
a certain machine produces 780 units of product p per hour . working continuously at this constant rate , this machine will produce how many units of product p in 4 days ? | 1physics |
the expression x # y denotes the product of the consecutive multiples of 3 between x and y , inclusive . what is the sum of the exponents in the prime factorization of 21 # 39 ? | 0general |
the cost of 3 pens and 5 pencils is rs . 200 . also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively . what is the cost of one dozen pens ? | 5other |
the captain of a cricket team of 11 members is 25 years old and the wicket keeper is 5 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? | 0general |
solution p is 20 percent lemonade and 80 percent carbonated water by volume ; solution q is 45 percent lemonade and 55 percent carbonated water by volume . if a mixture of pq contains 72 % percent carbonated water , what percent of the volume of the mixture is p ? | 2gain |
there are 3 girls and 6 boys . how many kids are there ? | 0general |
two numbers n and 16 have lcm = 48 and gcf = 8 . find n . | 1physics |
if y > 0 , ( 2 y ) / 5 + ( 3 y ) / 10 is what percent of y ? | 0general |
convert 200 inches into centimeter ? | 1physics |
if an object travels at seven feet per second , how many feet does it travel in one hour ? | 1physics |
evaluate : 2344 - 12 * 3 * 2 = ? | 0general |
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