Problem stringlengths 5 967 | category class label 6
classes |
|---|---|
4 weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 16 weavers in 16 days ? | 2gain |
a bowl of nuts is prepared for a party . brand p mixed nuts are 20 % almonds and brand q ' s deluxe nuts are 25 % almonds . if a bowl contains a total of 65 ounces of nuts , representing a mixture of both brands , and 15 ounces of the mixture are almonds , how many ounces of brand q ' s deluxe mixed nuts are used ? | 0general |
if a number n is chosen at random from the set of two - digit integers whose digits are both prime numbers , what is the probability q that n is divisible by 3 ? | 0general |
a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 330 m long platform ? | 1physics |
if 3 < x < 6 < y < 10 , then what is the greatest possible positive integer difference of x and y ? | 0general |
what is 10 - 8 + 6 - 4 + . . . + ( - 14 ) ? | 0general |
the average monthly salary of 20 employees in an organisation is rs . 1500 . if the manager ' s salary is added , then the average salary increases by rs . 1000 . what is the manager ' s monthly salary ? | 0general |
stacy and heather are 30 miles apart and walk towards each other along the same route . stacy walks at constant rate that is 1 mile per hour fast than heather ' s constant rate of 5 miles / hour . if heather starts her journey 24 minutes after stacy , how far from the original destination has heather walked when the two meet ? . | 1physics |
for a race a distance of 224 meters can be covered by p in 8 seconds and q in 32 seconds . by what distance does p defeat q eventually ? | 1physics |
in a single throw of a die , what is the probability of getting a number greater than 4 ? | 4probability |
the average age of an adult class is 40 years . 12 new students with an avg age of 32 years join the class . therefore decreasing the average by 6 year . find what was the original average age of the class ? | 0general |
a car takes 6 hours to cover a distance of 180 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ? | 1physics |
5 n + 2 > 12 and 7 n - 19 < 44 ; n must be between which numbers ? | 0general |
the price of a consumer good increased by pp % during 20122012 and decreased by 1212 % during 20132013 . if no other change took place in the price of the good and the price of the good at the end of 20132013 was 1010 % higher than the price at the beginning of 20122012 , what was the value of pp ? | 0general |
two integers are in the ratio of 1 to 4 . if 6 is added to the smaller number , the ratio becomes 1 to 2 . find the larger integer . | 5other |
in a garment industry , 12 men working 8 hours per day complete a piece of work in 10 days . to complete the same work in 12 days , working 16 hours a day , the number of men required is : | 1physics |
what is the unit digit in ( 4137 ) 754 ? | 0general |
find the volume , curved surface area and the total surface area of a cylinder with diameter of base 7 cm and height 40 cm . | 3geometry |
how many positive integers less than 5,000 are evenly divisible by neither 15 nor 23 ? | 0general |
find the sum the difference between the compound and s . i . on a certain sum of money for 4 years at 20 % per annum is rs . 50 of money ? | 0general |
jayant opened a shop investing rs . 30,000 . madhu joined him 2 months later , investing rs . 45,000 . they earned a profit of rs . 52,000 after completion of one year . what will be madhu ' s share of profit ? | 2gain |
an investment yields an interest payment of $ 234 each month . if the simple annual interest rate is 9 % , what is the amount of the investment ? | 2gain |
the mass of 1 cubic meter of a substance is 400 kilograms under certain conditions . what is the volume , in cubic centimeters , of 1 gram of this substance under these conditions ? ( 1 kilogram = 1,000 grams and 1 cubic meter = 1 , 000,000 cubic centimeters ) | 3geometry |
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 80 , how many horses are there ? | 0general |
54 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780 . the bigger part is : | 0general |
a cistern is filled by pipe a in 10 hours and the full cistern can be leaked out by an exhaust pipe b in 15 hours . if both the pipes are opened , in what time the cistern is full ? | 1physics |
all the students of class are told to sit in circle shape . here the boy at the 10 th position is exactly opposite to 45 th boy . total number of boys in the class ? | 0general |
how many integers between 2000 and 3000 that have distinct digits and increase from left to right ? | 0general |
the speed of a car is 70 km in the first hour and 90 km in the second hour . what is the average speed of the car ? | 1physics |
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 z ? | 1physics |
the length of the bridge , which a train 475 metres long and travelling at 90 km / hr can cross in 30 seconds , is : | 1physics |
a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 90 pounds . if the typical dosage is 2 cubic centimeters per 15 pounds of the body weight , by what percent was the prescribed dosage greater than the typical dosage ? | 2gain |
sides of a rectangular park are in the ratio 3 : 2 and its area is 3750 sq m , the cost of fencing it at 80 ps per meter is ? | 1physics |
what is the smallest positive integer x , such that 1152 x is a perfect cube ? | 3geometry |
an association of mathematics teachers has 1,600 members . only 525 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast ? | 2gain |
a no . when divided by 125 gives a remainder 40 , what remainder will be obtainedby dividingthe same no . 15 ? | 0general |
the area of a triangle will be when a = 3 m , b = 4 m , c = 5 m , a , b , c being lengths of respective sides ? | 3geometry |
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 $ 0.5 per box per month for the record storage , what is the total amount that the company pays each month for record storage ? | 0general |
if 7 parallel lines in a plane is intersected by a family of another 8 parallel lines , how many parallelograms are there in the network thus formed ? | 1physics |
if the a radio is sold for rs 490 and sold for rs 465.50 . find loss percentage . | 2gain |
if a certain coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 5 times , what is the probability that it will land heads up on the first flip but not on the last 4 flips ? | 4probability |
a person distributed 20 % of his income to his 3 children each . he deposited 30 % of his income to his wife ' s account . he donated 5 % of remaining amount to an orphan house . finally he has $ 50000 . find his total income ? | 2gain |
the average ( arithmetic mean ) of the even integers from 0 to 60 inclusive is how much greater than the average ( arithmetic mean ) of the even integers from 0 to 30 inclusive ? | 0general |
a train 200 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 10 km / hr in the direction opposite to that in which the train is going ? | 1physics |
what is the least number which should be added to 2697 so that the sum is exactly divisible by 5 , 6 , 4 , and 3 ? | 0general |
on dividing number by 357 , we get 39 as remainder . on dividing the same number by 17 , what will be the remainder ? | 0general |
how many even number in the range between 10 to 150 inclusive are not divisible by 3 | 0general |
a is twice as good as b . and together they finish a piece of work in 20 days . in how many days will a alone finish the work | 1physics |
a tradesman sold an article at a loss of 20 % . if the selling price had been increased by $ 100 , there would have been a gain of 5 % . what was the cost price of the article ? | 2gain |
a shop keeper marked 20 % above the cost price and offered 15 % discount then find it ' s net profit ? | 2gain |
if 0.5 % of a = 65 paise , then the value of a is ? | 2gain |
suppose a , b , and c are positive integers with a < b < c such that 1 / a + 1 / b + 1 / c = 1 . what is a + b + c ? | 0general |
what is the smallest number which when diminished by 24 , is divisible 5 , 10 , 15 and 20 ? | 0general |
a 6 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 1 if the original wire was cut at an arbitrary point ? | 3geometry |
in a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 42 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp ? | 2gain |
a goods train runs at the speed of 72 km / hr and crosses a 300 m long platform in 26 sec . what is the length of the goods train ? | 1physics |
two sets of 3 consecutive positive integers have exactly one integer in common . the sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set ? | 0general |
the average mark of the students of a class in a particular exam is 60 . if 5 students whose average mark in that exam is 44 are excluded , the average mark of the remaining will be 80 . find the number of students who wrote the exam ? | 0general |
in how many years will a sum of money doubles itself at 18 % per annum on simple interest ? | 2gain |
how many pieces of 75 cm can be cut from a rope 55.5 meters long ? | 1physics |
a merchant gains or loses , in a bargain , a certain sum . in a second bargain , he gains 380 dollars , and , in a third , loses 70 . in the end he finds he has gained 250 dollars , by the 3 together . how much did he gain or lose bv the first ? | 0general |
population is 20000 . pop increases by 10 % every year , then the pop after 3 years is ? | 2gain |
find the number of different prime factors of 6440 | 5other |
a train traveling at 72 kmph crosses a platform in 31 seconds and a man standing on the platform in 18 seconds . what is the length of the platform in meters ? | 1physics |
wink , inc . follows a certain procedure that requires two tasks to be finished independently in order for a job to be done . on any given day , there is a 5 / 8 probability that task 1 will be completed on time , and a 3 / 5 probability that task 2 will be completed on time . on a certain day , what is the probability that task 1 will be completed on time , but task 2 will not ? | 4probability |
what is the remainder when 7 ^ 74 - 5 ^ 74 is divided by 12 ? | 0general |
joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 35 . he was allowed to drop his lowest score . after doing so , his average test score improved to 40 . what is the lowest test score that was dropped ? | 0general |
there is food for 760 men for 22 days . how many more men should join after two days so that the same food may last for 10 days more ? | 1physics |
the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 15 metres ? | 1physics |
a dishonest dealer professes to sell goods at the cost price but uses a weight of 723 grams per kg , what is his percent ? | 2gain |
a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 800 more than d , what is b ' s share ? | 0general |
an error 4 % in excess is made while measuring the side of a square . what is the percentage of error in the calculated area of the square ? | 2gain |
if the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 5 , what is the ratio of apples to cucumbers ? | 5other |
if ( t - 8 ) is a factor of t ^ 2 - kt - 40 , then k = | 0general |
a certain number when divided by 95 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ? | 0general |
p alone can complete a job in 4 days . the work done by q alone in one day is equal to one - third of the work done by p alone in one day . in how many days can the work be completed if p and q work together ? | 1physics |
a man ' s speed with the current is 12 km / hr and the speed of the current is 2 km / hr . the man ' s speed against the current is | 2gain |
in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the rate in the remaining 40 overs to reach the target of 242 runs ? | 2gain |
the population of a bacteria colony doubles every day . if it was started 8 days ago with 4 bacteria and each bacteria lives for 12 days , how large is the colony today ? | 1physics |
a coin is tossed six times . what is the probability that there is at the least one tail ? | 4probability |
how many 3 x 3 x 3 cubes could fit in a 10 x 24 x 16 box ? | 3geometry |
how many positive integers less than 5,000 are there in which the sum of the digits equals 5 ? | 0general |
what is the rate percent when the simple interest on rs . 5000 amount to rs . 2500 in 5 years ? | 2gain |
on a partly cloudy day , derek decides to walk back from work . when it is sunny , he walks at a speed of s miles / hr ( s is an integer ) and when it gets cloudy , he increases his speed to ( s + 1 ) miles / hr . if his average speed for the entire distance is 2.8 miles / hr , what fraction q of the total distance did he cover while the sun was shining on him ? | 0general |
given the two equations 3 x + 2 y = 16 and 5 x + 3 y = 26 , by how much does r exceed s ? | 0general |
the length of a rectangular floor is more than its breadth by 300 % . if rs . 423 is required to paint the floor at the rate of rs . 3 per sq m , then what would be the length of the floor ? | 2gain |
a can finish a work in 18 days and b can do same work in half the time taken by a . then working together , what part of same work they can finish in a day | 1physics |
the parameter of a square is equal to the perimeter of a rectangle of length 18 cm and breadth 10 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 |
the cost of a one - family home was $ 120,000 in 1980 . in 1988 , the price had increased to $ 198,000 . what was the percent increase in the cost of the home ? | 0general |
a is a working partner and b is a sleeping partner in a business . a puts in 80,000 and b 70,000 . a gets 25 % of the profit for managing the business , and the rest is divided in proportion to their capitals . find the profit if b get 14000 . | 2gain |
how many integers are divisible by 5 between 10 ! and 10 ! + 20 inclusive ? | 0general |
a crow leaves its nest , and flies back and forth from its nest to a nearby ditch to gather worms . the distance between the nest and the ditch is 150 meters . in one and a half hours , the crow manages to bring worms to its nest 15 times . what is the speed of the crow in kilometers per hour ? | 1physics |
if 11.25 m of a uniform steel rod weighs 42.75 kg . what will be the weight of 9 m of the same rod ? | 1physics |
if paint costs $ 3.20 per quart , and a quart covers 120 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ? | 3geometry |
if 3 / p = 6 & 3 / q = 18 then p - q = ? | 0general |
two trains 150 m and 160 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 company that ships boxes to a total of 12 distribution centers uses color coding to identify each center . if either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors , what is the minimum number of colors needed for the coding ? ( assume that the order of colors in a pair does not matter ) | 0general |
the average of 5 numbers is 27 . if one number is excluded the average become 25 . the excluded number is : | 0general |
a train 200 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ? | 1physics |
a sum fetched a total simple interest of rs . 4016.25 at the rate of 9 % p . a . in 5 years . what is the sum ? | 2gain |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.