Problem stringlengths 5 967 | category class label 6
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right triangle abc is the base of the prism in the figure above . if ab = ac = â ˆ š 10 and the height of the prism is 4 , what is the volume of the prism ? | 3geometry |
a woman swims downstream 54 km and upstream 6 km taking 6 hours each time , what is the speed of the woman in still water ? | 1physics |
what is the least number which when divided by 7 , 9 , 12 and 18 leaves remainder 4 in each care ? | 0general |
how many points ( x , y ) lie on the line segment between ( 15 , 12 2 / 3 ) and ( 7 , 17 2 / 3 ) such that x and y are both integers ? | 0general |
a statue is being carved by a sculptor . the original piece of marble weighed 250 kg . in the first week 30 per cent is cut away . in the second week 20 per cent of the remainder is cut away . in the third week the statue is completed when 25 percent of the remainder is cut away . what is the weight of the final statue ? | 2gain |
a bowl was filled with 10 ounces of water , and 0.008 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ? | 2gain |
a goods train runs at the speed of 72 km / hr and crosses a 260 m long platform in 26 sec . what is the length of the goods train ? | 1physics |
when positive integer n is divided by positive integer j , the remainder is 12 . if n / j = 134.08 , what is value of j ? | 0general |
q is a set of 8 distinct prime numbers . if the sum of the integers in q is even and the number x is a member of q , then what is the least value that x can be ? | 0general |
in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 58 liters and they are all empty , how much money total will it cost to fuel all cars ? | 0general |
in the xy - plane , a triangle has vertices ( 0,0 ) , ( 4,0 ) and ( 4,7 ) . if a point ( a , b ) is selected at random from the triangular region , what is the probability that a - b > 0 ? | 3geometry |
( 565945 x 121 ) = ? | 0general |
mixture a is 20 percent alcohol , and mixture b is 50 percent alcohol . if the two are poured together to create a 15 gallon mixture that contains 30 percent alcohol , approximately how many gallons of mixture a are in the mixture ? | 2gain |
sum of two numbers prime to each other is 14 and their l . c . m . is 45 . what are the numbers ? | 1physics |
if 5 is one solution of the equation x ^ 2 + 3 x + k = 10 , where k is a constant , what is the other solution ? | 0general |
if 350 ! / 10 ^ n is an integer , what is the largest possible value of n ? | 0general |
a person decided to build a house in 100 days . he employed 100 men in the beginning and 100 more after 80 days and completed the construction in stipulated time . if he had not employed the additional men , how many days behind schedule would it have been finished ? | 0general |
solve the quickfire maths brain teaser â ˆ š 4 % = ? | 2gain |
the area of sector of a circle whose radius is 12 metre and whose angle at the center is 42 ° is ? | 1physics |
in a race of 1000 meters , a can beat b by 100 meters , in a race of 800 meters , b can beat c by 100 meters . by how many meters will a beat c in a race of 600 meters ? | 1physics |
if a and b get profits of rs . 18,000 and rs . 15,000 respectively at the end of year then ratio of their investments are | 2gain |
he ratio between the sale price and the cost price of an article is 5 : 3 . what is the ratio between the profit and the cost price of that article ? | 5other |
the average of 6 observations is 12 . a new observation is included and the new average is decreased by 1 . the seventh observation is ? | 0general |
a certain bag contains 100 balls â € ” 50 white , 20 green , 10 yellow , 17 red , and 3 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ? | 5other |
simplify : 8888 + 888 + 88 + 8 | 0general |
for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 15 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ? | 0general |
a man sitting in a train which is travelling at 50 kmph observes that a goods train , travelling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed . | 1physics |
a can do a work in 15 days and b in 20 days . if they work on it together then in how many days required to complete the work ? | 1physics |
what is the average of 1200 , 1300 , 1400 , 1510 , 1520 , 1530 , 1115 , 1120 , and 1125 ? | 0general |
the speed of a car is 90 km in the first hour and 50 km in the second hour . what is the average speed of the car ? | 1physics |
of the 200 employees in a certain company , 25 percent will be relocated to city x and the remaining 75 percent will be relocated to city y . however , 45 percent of the employees prefer city y and 55 percent prefer city x . what is the highest possible number of employees who will be relocated to the city they prefer ? | 2gain |
a starts business with rs . 3500 and after 9 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b â € ™ s contribution in the capital ? | 5other |
a shirt goes on sale for 80 % of its original price . one week later , the sale price is marked down 10 % . the final price is what percent of the original price ? | 2gain |
what is the sum of all the prime factors of 220 and 330 ? | 5other |
mr . evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children . if mr . evans has 5 children and 6 grandchildren , then approximately what percentage of mr . evans estate will each grandchild receive ? | 0general |
how many numbers from 10 to 50 are exactly divisible by 3 | 0general |
at what rate of compound interest per annum will a sum of rs . 1200 become rs . 1348.32 in 2 years | 2gain |
a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 30 paisa . if the share of y is rs . 18 , what is the total amount ? | 0general |
andrew purchased 7 kg of grapes at the rate of 68 per kg and 9 kg of mangoes at the rate of 48 per kg . how much amount did he pay to the shopkeeper ? | 2gain |
two numbers a and b are such that the sum of 5 % of a and 3 % of b is two - third of the sum of 6 % of a and 8 % of b . find the ratio of a : b . | 0general |
radha bought a watch for rs . 144 and got a percentage of profit equal to the cost price of the watch . what is the cost price of the watch ? | 2gain |
a and b are two partially filled buckets of water . if 3 liters are transferred from a to b , then a would contain one - third of the amount of water in b . alternatively , if 3 liters are transferred from b to a , b would contain one - half of the amount of water in a . bucket a contains how many liters of water ? | 0general |
27 is a perfect cube . when x is perfect cube which is added to the prime factor of 27 , the result is not a prime number . what is the square root of x ? | 5other |
| x + 3 | – | 4 - x | = | 8 + x | how many k solutions will this equation have ? | 0general |
the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 55 ) is : | 0general |
a train traveling at 36 kmph crosses a platform in 30 seconds and a man standing on the platform in 12 seconds . what is the length of the platform in meters ? | 1physics |
when positive integer n is divided by positive integer j , the remainder is 14 . if n / j = 134.05 , what is value of j ? | 0general |
what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 8 ? | 0general |
an engineer undertakes a project to build a road 15 km long in 300 days and employs 35 men for the purpose . after 100 days , he finds only 2.5 km of the road has been completed . find the ( approximate ) number of extra men he must employ to finish the work in time . | 1physics |
what least number should be subtracted from 1,439 so that the remainder when divided by 5 , 11 , and 13 will leave in each case the same remainder 3 ? | 0general |
a and b invests rs . 5000 and rs . 6000 in a business . after 4 months , a withdraws half of his capital and 2 months later , b withdraws one - third of his capital . in what ratio should they share the profits at the end of the year ? | 2gain |
how long will a boy take to run round a square field of side 20 meters , if he runs at the rate of 12 km / hr ? | 2gain |
( 4300731 ) - ? = 2535618 | 0general |
what two - digit number is less than the sum of the square of its digits by 11 and exceeds their doubled product by 4 ? | 0general |
if a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius , then surface area of each ball ( in sq . cm ) is ? | 3geometry |
what is the average of 12 , 13 , 14 , 510 , 520 , 530 , 1115 , 1120 , and 1 , 1252140 , 2345 ? | 0general |
the price of a certain painting increased by 20 % during the first year and decreased by 25 % during the second year . the price of the painting at the end of the 2 - year period was what percent of the original price ? | 0general |
the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 13 years and that of the other 9 students is 16 years , the age of the 15 th student is | 0general |
if 64 ( 2 ^ x ) = 1 then x = | 0general |
if the charge of staying in a student youth hostel $ 18.00 / day for the first week , and $ 13.00 / day for each additional week , how much does it cost to stay for 23 days ? | 0general |
a train passes a station platform in 36 sec and a man standing on the platform in 20 sec . if the speed of the train is 18 km / hr . what is the length of the platform ? | 1physics |
if the lcm and hcf of 12 and another number is 60 and 3 respectively . find the other number ? | 1physics |
the perimeter of a triangle is 20 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle | 3geometry |
a reduction in the price of petrol by 10 % enables a motorist to buy 5 gallons more for $ 280 . find the original price of petrol ? | 2gain |
a train covers a distance of 12 km in 10 minutes . if it takes 6 seconds to pass a telegraph post , then the length of the train is | 1physics |
if x / 2 = y / 4 = z / 6 , then find the value of ( x + y + z ) / z | 0general |
country x taxes each of its citizens an amount equal to 15 percent of the first $ 40000 of income , plus 20 percent of all income in excess of $ 40000 . if a citizen of country x is taxed a total of $ 8000 , what is her income ? | 0general |
the compound ratio of 2 / 3 , 6 / 7 , 1 / 3 and 1 / 8 is given by ? | 5other |
if w is the set of all the integers between 39 and 99 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? | 5other |
the number 500 can be written as the sum of the squares of 2 different positive integers . what is the difference of these 2 integers ? | 0general |
the annual interest rate earned by an investment increased by 10 percent from last year to this year . if the annual interest rate earned by the investment this year was 15 percent , what was the annual interest rate last year ? | 2gain |
a sum of money at simple interest amounts to rs . 845 in 3 years and to rs . 854 in 4 years . the sum is : | 2gain |
find number which is 70 % less than 80 . | 2gain |
the sum of 3 consecutive odd numbers is 20 more than the first of these numbers . what is the middle number ? | 0general |
the sum of ages of 4 children born 4 years different each is 48 yrs . what is the age of the elder child ? | 0general |
a tank contains 10,000 gallons of a solution that is 7 percent sodium chloride by volume . if 2,500 gallons of water evaporate from the tank , the remaining solution will be approximately what percent sodium chloride ? | 2gain |
the speed of a boat in still water is 18 kmph . what is the speed of the stream if the boat can cover 48 km downstream or 32 km upstream in the same time ? | 1physics |
a train 2000 m long can cross an electric pole in 25 sec and then find the speed of the train ? | 1physics |
a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 32 % of the original number . what percent of the red candies remain ? | 0general |
the average weight of a class of 20 boys was calculated to be 58.4 kgs and it was later found that one weight was misread as 56 kg instead of 61 kg . what is the correct weight ? | 0general |
n people were sitting on a circular manner , if each of two present in the party except the pairs were adjacent sang a song , if a song lasted for 2 mins and 28 minutes was taken for singing song , find n | 1physics |
in the floor of a particular kitchen owned by an abstract artist , each row of tiles to the right of the first row contains two fewer tiles than the row directly to its left . if there are 9 rows in all and a total of 405 tiles in the floor , how many tiles does the leftmost row contain ? | 0general |
each of 3 charities in novel grove estates has 8 persons serving on its board of directors . if exactly 4 persons serve on 3 boards each and each pair of charities has 5 persons in common on their boards of directors , then how many distinct persons serve on one or more boards of directors ? a . b . c . d . e . | 0general |
a mixture of 20 kg of spirit and water contains 10 % water . how much water must be added to this mixture to raise the percentage of water to 25 % | 0general |
if rs . 7500 are borrowed at c . i at the rate of 4 % per annum , then after 2 years the amount to be paid is : | 2gain |
a and b invests rs . 10000 each , a investing for 4 months and b investing for all the 12 months in the year . if the total profit at the end of the year is rs . 4000 , find their shares ? | 2gain |
for all even integers n , h ( n ) is defined to be the sum of the even integers between 2 and n , inclusive . what is the value of h ( 18 ) / h ( 10 ) ? | 0general |
in how many ways can an answer key for a quiz be written if the quiz contains 5 true - false questions followed by 2 multiples - choice questions with 4 answer choices each , if the correct answers to all true - false questions can not be the same ? | 0general |
the difference between simple and compound interest on rs . 1600 for one year at 10 % per annum reckoned half - yearly is ? | 2gain |
a person travels equal distances with speeds of 4 km / hr , 5 km / hr and 6 km / hr and takes a total time of 47 minutes . the total distance is ? | 1physics |
one hour after yolanda started walking from x to y , a distance of 10 miles , bob started walking along the same road from y to x . if yolanda ' s walking rate was 3 miles per hour and bob т ' s was 4 miles per hour , how many miles had bob walked when they met ? | 1physics |
a person borrows rs . 5000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 7 % p . a for 2 years . find his gain in the transaction per year . | 2gain |
one fourth of one third of two fifth of a number is 14 . what will be 40 % of that number | 2gain |
a vantakes 6 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ? | 1physics |
a certain fruit stand sold apples for $ 0.80 each and bananas for $ 0.70 each . if a customer purchased both apples and bananas from the stand for a total of $ 7.30 , what total number of apples and bananas did the customer purchase ? | 5other |
a can do a piece of work in 4 days . b can do it in 9 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ? | 1physics |
a number when divided by a certain divisor left remainder 255 , when twice the number was divided by the same divisor , the remainder was 112 . find the divisor ? | 0general |
if 30 % of a number is 12.6 , find the number ? | 2gain |
5 + 3 | 0general |
find the number , difference between number and its 3 / 5 is 60 . | 0general |
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