Problem stringlengths 5 967 | category class label 6
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the least number which when increased by 6 each divisible by each one of 24 , 32 , 36 and 54 is : | 0general |
find the mean proportional between 81 & 100 ? | 0general |
if the sum of the first n positive integers is s , what is the sum of the first n positive integers divisible by 5 , in terms of s ? | 0general |
a man can row upstream at 30 kmph and downstream at 60 kmph , and then find the speed of the man in still water ? | 1physics |
if the average ( arithmetic mean ) of 2 a + 16 , 3 a - 8 is 94 , what is the value of a ? | 0general |
a group of students was interviewed for that if it was asked whether or not they speak french and / or english . among those who speak french , 10 speak english well , while 40 of them do not speak english . if 75 % of students do not speak french , how many students were surveyed ? | 2gain |
a train crosses a platform of 120 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ? | 1physics |
two numbers are in the ratio 3 : 4 . if their l . c . m . is 36 . what is sum of the numbers ? | 5other |
in what time will a train 120 m long cross an electric pole , it its speed be 144 km / hr ? | 1physics |
evaluate : 1234562 - 12 * 3 * 2 = ? | 0general |
33 1 / 3 % of 360 ? | 2gain |
what is the area of a square field whose sides have a length of 14 meters ? | 3geometry |
x can do a piece of work in 40 days . he works at it for 8 days and then y finished it in 32 days . how long will y take to complete the work ? | 1physics |
a man traveled a total distance of 1800 km . he traveled one - third of the whole trip by plane and the distance traveled by train is three - fifth of the distance traveled by bus . if he traveled by train , plane and bus , then find the distance traveled by bus ? | 1physics |
if k is a non - negative integer and 12 ^ k is a divisor of 856,736 then 3 ^ k - k ^ 3 = | 0general |
the length of a rectangular plot is 10 mtr more than its width . the cost of fencing the plot along its perimeter at the rate of rs . 6.5 mtr is rs . 1950 . the perimeter of the plot is ? | 3geometry |
a can do a piece of work in 8 days . b can do it in 6 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 car started running at a speed of 30 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour . find the total distance covered by the car in the first 10 hours of the journey . | 1physics |
the maximum number of students among them 1230 pens and 920 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : | 0general |
the length of a room is 7 m and width is 4.75 m . what is the cost of paying the floor by slabs at the rate of rs . 900 per sq . metre . | 1physics |
a train 110 m long is running with a speed of 27 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ? | 1physics |
a , b and c can do a piece of work in 24 days , 30 days and 60 days respectively . they began the work together but c left 4 days before the completion of the work . in how many days was the work completed ? | 1physics |
machine p and machine q are each used to manufacture 550 sprockets . it takes machine p 10 hours longer to produce 550 sprockets than machine q . machine q produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machine a produce ? | 2gain |
what percent of a day is 7 hours ? | 1physics |
if 4 xz + yw = 5 and xw + yz = 10 , what is the value of the expression ( 2 x + y ) ( 2 z + w ) ? | 0general |
rectangular tile each of size 70 cm by 30 cm must be laid horizontally on a rectangular floor of size 110 cm by 130 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is : | 3geometry |
1394 x 1394 = ? | 0general |
a circular ground whose diameter is 34 metres , has a 2 metre - broad garden around it . what is the area of the garden in square metres ? | 3geometry |
3889 + 12.808 - ? = 3854.002 | 0general |
a sum of money is sufficient to pay a ' s wages for 20 days and b ' s wages for 30 days . the same money is sufficient to pay the wages of both for ? | 0general |
a river boat leaves silver town and travels upstream to gold town at an average speed of 6 kilometers per hour . it returns by the same route at an average speed of 8 kilometers per hour . what is the average speed for the round - trip in kilometers per hour ? | 1physics |
the sides of a square region , measured to the nearest centimeter , are 7 centimeters long . the least possible value of the actual area of the square region is | 3geometry |
a box contains 6 white , 5 red and 8 white marbles . 5 marbles are drawn from the box at random . what is the probability that both the marbles are of the same color ? | 5other |
105 * 2 | 0general |
what will be the reminder when ( 43 ^ 43 + 43 ) is divided by 44 ? | 0general |
maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 40 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h , what is the distance traveled by brad ? | 1physics |
the total of 342 of 20 paise and 25 paise make a sum of rs . 71 . the no of 20 paise coins is | 0general |
a retailer buys a radio for rs 225 . his overhead expenses are rs 15 . he sellis the radio for rs 350 . the profit percent of the retailer is | 2gain |
a man can row upstream at 35 kmph and downstream at 45 kmph , and then find the speed of the man in still water ? | 1physics |
a 220 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ? | 1physics |
if 80 lamps can be lighted 5 hours per day for 10 days for rs . 21.25 , then the number of lamps which can be lighted 4 hours daily for 30 days for rs . 76.50 , is ? | 1physics |
in a group of ducks and cows , the total number of legs are 20 more than twice the no . of heads . find the total no . of buffaloes . | 0general |
the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 41 kg , then the weight of b is : | 0general |
i sold a book at a profit of 10 % . had i sold it for $ 100 more , 15 % would have been gained . find the cost price ? | 2gain |
an inspector rejects 0.08 % of the meters as defective . how many will he examine to reject 2 ? | 2gain |
the average age of a class is 15.8 years . the average age of the boys in the class is 16.4 years and that of the girls is 15.4 years . what is the ratio of boys to girls in the class ? | 0general |
in how many years will a sum of money doubles itself at 25 % per annum on simple interest ? | 2gain |
log 3 n + log 7 n what is 3 digit number n that will be whole number | 5other |
at the a - street fish market a vendor sells fresh caught fish . his store is filled with 2 / 7 bass , 1 / 5 tuna , 1 / 7 trout , and the rest are catfish . if a customer just bought 1 / 7 of all the tuna and 1 / 7 of all the catfish , and a fisherman arrived to restock the bass , doubling the number of bass , what proportion of fish now in the store are trout ? | 0general |
a and b started a business in partnership investing rs . 20000 and rs . 15000 respectively . after 6 months , c joined them with rs . 20000 . whatwill be b ' s share in total profit of rs . 20000 earned at the end of 2 years from the startingof the business ? | 2gain |
the product of two positive integers is 323 and their difference is 2 . what is the smaller number ? | 0general |
an alloy is to contain steel and iron in the ratio 5 : 2 . the iron required to be melted with 35 kg of steel is ? | 5other |
a man complete a journey in 30 hours . he travels first half of the journey at the rate of 20 km / hr and second half at the rate of 10 km / hr . find the total journey in km . | 1physics |
a man sitting in a train which is traveling at 60 kmph observes that a goods train , traveling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed . ? | 1physics |
0.0006 ? = 0.03 | 0general |
a train 125 m long passes a man , running at 4 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ? | 1physics |
it would take one machine 9 hours to complete a large production order and another machine 8 hours to complete the same order . how many hours would it take both machines , working simultaneously at their respective constant rates , to complete the order ? | 1physics |
3034 − ( 1002 ÷ 20.04 ) = ? | 0general |
a number is doubled and 9 is added . if the resultant is trebled , it becomes 57 . what is that number ? | 0general |
a room is 5 meters 76 centimeters in length and 4 meters 32 centimeters in width . find the least number of square tiles of equal size required to cover the entire floor of the room . | 0general |
a train sets off at 2 : 00 pm at the speed of 70 km / h . another train starts at 3 : 00 pm in the same direction at the rate of 80 km / h . at what time will the second train catch the first train ? | 1physics |
a boat can travel with a speed of 15 km / hr in still water . if the speed of the stream is 5 km / hr . find the time taken by the boat to go 68 km downstream ? | 1physics |
mark and ann together were allocated n boxes of cookies to sell for a club project . mark sold 9 boxes less than n and ann sold 2 boxes less than n . if mark and ann have each sold at least one box of cookies , but together they have sold less than n boxes , what is the value of n ? | 0general |
135 liters of a mixture of milk and water contains in the ratio 3 : 2 . how much water should now be added so that the ratio of milk and water becomes 3 : 4 ? | 0general |
17 times a positive integer is more than its square by 60 , then the positive integer is | 0general |
a certain junior class has 1000 students and a certain senior class has 800 students . among these students , there are 40 siblings pairs each consisting of 1 junior and 1 senior . if 1 student is to be selected at random from each class , what is the probability that the 2 students selected will be a sibling pair ? | 4probability |
a card is drawn from a pack of 52 cards . the probability of getting a queen of club or a king of heart is | 4probability |
frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 480 square feet . how many feet offence does frank use ? | 3geometry |
the height of the wall is 6 times its width and length of the wall is 7 times its height . if the volume of the wall be 6804 cu . m . its width is | 1physics |
90 is divided into two parts in such a way that seventh part of first and ninth part of second are equal . find the smallest part ? | 0general |
a train running at 1 / 3 of its own speed reached a place in 9 hours . how much time could be saved if the train would have run at its own speed ? | 1physics |
the radius of a semi circle is 7 cm then its perimeter is ? | 1physics |
two persons raj and ramu started working for a company in similar jobs on january 1 , 1991 . raj ' s initial monthly salary was rs 400 , which increases by rs 40 after every year . ramu ' s initial monthly salary was rs 500 which increases by rs 20 after every 6 months . if these arrangements continue till december 31 , 200 . find the total salary they received during that period . | 0general |
at a certain college , 80 percent of the total number of students are freshmen . if 60 percent of the fresh - men are enrolled in the school of liberal arts and , of these , 50 percent are psychology majors , what percent of the students at the college are freshmen psychology majors enrolled in the school of liberal arts ? | 0general |
difference of two numbers is 1670 . if 7.5 % of the number is 12.5 % of the other number , find the number ? | 2gain |
the ratio of flour to water to sugar in a recipe is 11 : 8 : 1 . the ratio in a new recipe calls for a doubling of the ratio of flour to water from the original recipe and a halving of the ratio of flour to sugar . if the new recipe calls for 4 cups of water , how much sugar is required ? | 5other |
craig sells major appliances . for each appliance he sells , craig receives a commission of $ 50 plus 10 percent of the selling price . during one particular week craig sold 6 appliances for selling prices totaling $ 3620 . what was the total of craig ' s commissions for that week ? | 0general |
if 8 ^ x = 2 ^ 9 , what is x ? | 0general |
a certain list consists of 21 different numbers . if n is in the list and n is 3 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction of the sum of the 21 numbers in the list ? | 0general |
i chose a number and divide it by 8 . then i subtracted 100 from the result and got 6 . what was the number i chose ? | 0general |
the population of a bacteria colony doubles every day . if it was started 7 days ago with 2 bacteria and each bacteria lives for 12 days , how large is the colony today ? | 1physics |
light glows for every 32 seconds . how many max . times did it glow between 1 : 57 : 58 and 3 : 20 : 47 am . | 0general |
if the height of a right cone c is 3 and the diameter of the base of c is 8 , what is the distance from the apex of c to any point on the circumference of the base of c ? | 3geometry |
a can copy 50 papers in 10 hrs , while a & b can copy 70 papers in 10 hrs . how many hours are required for b to copy 26 papers ? | 1physics |
45 % of 816 - 23 % of ? = 240.7 | 0general |
two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 121 hours and 100 hours respectively . the ratio of their speeds is : | 1physics |
shanmukham buys good worth rs . 6650 . he gets a rebate of 6 % on it . after getting the rebate , he pays sales tax @ 10 % . find the amount he will have to pay for the goods | 2gain |
the maximum numbers of students among them 781 pens and 710 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is | 0general |
what is the measure of the radius of the circle inscribed in a triangle whose sides measure 8 , 15 and 27 units ? | 3geometry |
the sum of the present ages of two persons a and b is 60 . if the age of a is twice that of b , find the sum of their ages 3 years hence ? | 0general |
two trains 120 m and 190 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 |
krishan and nandan jointly started a business . krishan invested 4 times as nandan did and invested his money for trible time as compared to nandan . if the gain is proportional to the money invested and the time for which the money is invested and the total gain was rs . 26000 , find the nandan ' s earning . | 2gain |
what is the 21 th digit to the right of the decimal point in the decimal expansion of 1 / 37 ? | 0general |
two brothers ram and ravi appeared for an exam . the probability of selection of ram is 2 / 7 and that of ravi is 1 / 5 . find the probability that both of them are selected . | 0general |
if a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet , what is the length of each of the longer sides ? | 3geometry |
a cricket bat is sold for $ 900 , making a profit of $ 75 . the profit percentage would be | 2gain |
if 4 ^ ( 2 x + 2 ) = 16 ^ ( 3 x − 1 ) , what is the value of x ? | 0general |
the product of three consecutive numbers is 720 . then the sum of the smallest two numbers is ? | 0general |
you collect pens . suppose you start out with 25 . mike gives you another 22 pens . since her father makes pens , cindy decides to double your pens . since you ' re nice , you give sharon 19 pens . how many pens do you have at the end ? | 0general |
the population of a town increased from 1 , 45,000 to 2 , 30,500 in a decade . the average percent increase of population per year is : | 0general |
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