Problem stringlengths 5 967 | category class label 6
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a mixture contains milk and water in the ratio 6 : 3 . on adding 10 litters of water , the ratio of milk to water becomes 6 : 5 . the quantity of milk in the original mixture is ? | 0general |
if the numerator of a fraction be increased by 20 % and its denominator be diminished by 10 % , the value of the fraction is 20 / 21 . find the original fraction ? | 0general |
the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 25 percent of a , and m equals b decreased by 80 percent of b , what is the value of m / x ? | 0general |
a man saves 10 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 10 % , he is only able to save rs . 200 per month . what is his monthly salary ? | 0general |
the median annual household income in a certain community of 21 households is $ 50000 . if the mean w income of a household increases by 10 % per year over the next 2 years , what will the median income in the community be in 2 years ? | 0general |
4 different children have jelly beans : aaron has 5 , bianca has 7 , callie has 8 , and dante has 9 . how many jelly beans must dante give to aaron to ensure that no child has more than 1 fewer jelly beans than any other child ? | 0general |
an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 12 - meter platform and caught it after it had traveled 35.65 meters . how many times did the ball bounce ? | 0general |
a can complete a project in 20 days and b can complete the same project in 30 days . if a and b start working on the project together and b quits 10 days before the project is completed , in how many days total will the project be completed ? | 1physics |
a present value of a machine is $ 128000 . its value depletiation rate is 25 % per annum then find the machine value after 3 years ? | 2gain |
when 2 / 9 of the votes on a certain resolution have been counted , 3 / 4 of those counted are in favor of the resolution . what fraction f of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution ? | 0general |
when 1 / 20 % of 8000 is subtracted from 1 / 10 of 8000 , the difference is | 0general |
what is the remainder when 47 * 50 is divided by 8 ? | 0general |
there are 100 students in a class . if 14 % are absent on a particular day , find the number of students present in the class . | 2gain |
the megatek corporation is displaying its distribution of employees by department in a circle graph . the size of each sector of the graph representing a department is proportional to the percentage of total employees in that department . if the section of the circle graph representing the manufacturing department takes up 72 ° of the circle , what percentage of megatek employees are in manufacturing ? | 1physics |
if the median of a list of numbers is m , the first quartile of the list is the median of the numbers in the list that are less than m . what is the first quartile of the list of numbers 42 , 24 , 30 , 28 , 26 , 19 , 33 and 35 ? | 0general |
a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1.5 cm when a man gets on it . the mass of man is | 1physics |
three numbers are in the ratio 1 : 3 : 6 and their average is 100 . the largest number is : | 0general |
how many 3 digit positive integers r exist that when divided by 7 leave a remainder of 5 ? | 0general |
a total of 30 percent of the geese included in a certain migration study were male . if some of the geese migrated during the study and 20 percent of the migrating geese were male , what was the ratio of the migration rate for the male geese to the migration rate for the female geese ? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ] | 0general |
the average weight of a group of persons increased from 48 kg to 51 kg , when two persons weighing 88 kg and 93 kg join the group . find the initial number of members in the group ? | 0general |
what percent of 60 is 25 ? | 2gain |
two trains 121 meters and 153 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ? | 1physics |
find the average of first 4 multiples of 15 ? | 0general |
the price of 3 chudi and 6 tops is rs . 1500 . with the same money one can buy 1 chudi and 12 tops . if one wants to buy 5 tops , how much shall she have to pay ? | 0general |
the output of a factory is increased by 10 % to keep up with rising demand . to handle the holiday rush , this new output is increased by 10 % . by approximately what percent would the output of the factory now have to be decreased in order to restore the original output ? | 0general |
a bag contains 3 red , 4 blue and 4 green balls . if 2 ballsare picked at random , what is the probability that both are red ? | 5other |
tom reads at an average rate of 30 pages per hour , while jan reads at an average rate of 39 pages per hour . if tom starts reading a novel at 4 : 30 , and jan begins reading an identical copy of the same book at 5 : 06 , at what time will they be reading the same page ? | 0general |
let f ( x , y ) be defined as the remainder when ( x – y ) ! is divided by x . if x = 24 , what is the maximum value of y for which f ( x , y ) = 0 ? | 0general |
for every x , the action [ x ] is defined : [ x ] is the greatest integer less than or equal to x . what is the value of [ 6.5 ] x [ 2 / 3 ] + [ 2 ] x 7.2 + [ 8.4 ] - 6.5 ? | 0general |
15 girls can complete a rangoli in 12 days , and 10 boys can complete the same work in 15 days . to complete the work earlier 10 boys and 15 girls are employed , in how many days will this work get completed ? | 1physics |
when a certain number x is divided by 63 , the remainder is 27 . what is the remainder when x is divided by 8 ? | 0general |
on dividing 100 by a number , the quotient is 9 and the remainder is 1 . find the divisor ? | 0general |
a can do a work in 15 days and b in 20 days . if they work on it together for 5 days , then the fraction of the work that is left is : | 1physics |
a monkey ascends a greased pole 6 meters high . he ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute . if this pattern continues until he climbs the pole , in how many minutes would he reach at the top of the pole ? | 1physics |
what will be the reminder when ( 67 ^ 67 + 67 ) is divided by 68 ? | 0general |
if leo gains 10 pounds , he will weigh 50 % more than his sister kendra . currently their combined weight is 140 pounds . what is leo ' s current weight ? | 2gain |
aunt marge is giving candy to each of her nephews and nieces . she has 20 pieces of candy and she gives all the candy to the children according to her wish . if robert gets 2 more pieces than kate , bill gets 6 less than mary , mary gets 2 more pieces than robert , and kate gets 2 more pieces than bill , how many pieces of candy does kate get ? | 0general |
in the list 3 , 3 , 4 , 4 , 5 , 5 , 5 , 5 , 7 , 11 , 21 , what fraction of the data is less than the mode ? | 0general |
how many multiples of 4 are less than 3200 , and also multiples of 16 ? | 0general |
a man can row a boat at 10 kmph in still water and the speed of the stream is 8 kmph . what is then time taken to row a distance of 90 km down the stream ? | 1physics |
the sum of two consecutive number is 109 . which is the larger number ? | 1physics |
what is the least number to be added to 1480 to make it a perfect square ? | 0general |
a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 7.00 . if the company ’ s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ? | 0general |
in order to obtain an income of rs . 15000 from 80 % stock at rs . 200 , one must make an investment of | 2gain |
the area of sector of a circle whose radius is 12 metro and whose angle at the center is 40 ° is ? | 3geometry |
the average runs scored by a batsman in 22 matches is 28 . in the next 13 matches the batsman scored an average of 15 runs . find his average in all the 35 matches ? | 0general |
the sum of the numbers is 330 . if the first number be twice the second and third number be one - third of the first , then the second number is : | 0general |
a trailer carries 3 , 4 and 5 crates on a trip . each crate weighs no less than 150 kg . what is the maximum weight of the crates on a single trip ? | 0general |
the weight of a glass of jar is 20 % of the weight of the jar filled with coffee beans . after some of the beans have been removed , the weight of the jar and the remaining beans is 60 % of the original total weight . what fraction part of the beans remain in the jar ? | 2gain |
the diagonals of a rhombus are 16 cm and 20 cm . find its area ? | 3geometry |
the points a ( 0 , 0 ) , b ( 0 , 4 a - 5 ) and c ( 2 a + 1 , 2 a + 4 ) form a triangle . if angle abc = 90 , what is the area of triangle abc ? | 3geometry |
carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 6 inches tall . how tall are the sculpture andbase together ? | 3geometry |
xy = 2 then what is ( 2 ^ ( x + y ) ^ 2 ) / ( 2 ^ ( x - y ) ^ 2 ) | 0general |
in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 5.5 ) , ( 8 , 0 ) , ( 0 , - 5.5 ) , ( - 8 , 0 ) ? | 3geometry |
a sum of money becomes 7 / 6 of itself in 5 years at a certain rate of simple interest . the rate per annum is ? | 2gain |
a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 22 , then how old is b ? | 0general |
all the students of class are told to sit in circle shape . here the boy at the 6 th position is exactly opposite to 16 th boy . total number of boys in the class ? | 0general |
the area of a square is 4624 sq cm . find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square . | 3geometry |
in what time will a train 100 meters long cross an electric pole , if its speed is 162 km / hr | 1physics |
a certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint . if 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans , what is the least amount of paint t , in gallons , that must be purchased in order to measure out the portions needed for the mixture ? | 0general |
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 2120 ? | 0general |
the average age of an adult class is 40 years . 8 new students with an avg age of 32 years join the class . therefore decreasing the average by 4 year . find what was theoriginal strength of class ? | 0general |
what is the ratio of two no . 5 xy and 8 xy . | 5other |
how many positive integers less than 17 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3 ? | 0general |
what least number should be added to 1056 , so that the sum is completely divisible by 23 ? | 0general |
at a restaurant , glasses are stored in two different - sized boxes . one box contains 12 glasses , and the other contains 16 glasses . if the average number of glasses per box is 15 , and there are 16 more of the larger boxes , what is the total number of glasses t at the restaurant ? ( assume that all boxes are filled to capacity . ) | 0general |
a discount electronics store normally sells all merchandise at a discount of 10 percent to 30 percent off the suggested retail price . if , during a special sale , an additional 20 percent were to be deducted from the discount price , what would be the lowest possible price of an item costing $ 200 before any discount ? | 2gain |
a train 550 m long is running with a speed of 60 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 |
students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 186 cms . what was the ratio of men to women ? | 0general |
a person travels equal distances with speeds of 3 km / hr , 4 km / hr and 5 km / hr and takes a total time of 50 minutes . the total distance is ? | 1physics |
how many digits are used to number a book containg 300 pages . | 0general |
barbata invests $ 2800 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ? | 0general |
at what rate percent on simple interest will rs . 600 amount to rs . 950 in 5 years ? | 2gain |
a , b and c can do a work in 90 , 45 and 6 days respectively . if they work together , in how many days will they complete the work ? | 1physics |
a man can row upstream at 25 kmph and downstream at 41 kmph , and then find the speed of the man in still water ? | 1physics |
i bought two books ; for rs . 450 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ? | 2gain |
how many multiples of 5 are there between 1 and 100 ( both are inclusive ) ? | 5other |
when a certain tree was first planted , it was 4 feet tall , and the height of the tree increased by a constant amount each year for the next 6 years . at the end of the 6 th year , the tree was 2 / 5 taller than it was at the end of the 4 th year . by how many feet did the height of the tree increase each year ? | 0general |
in 1998 the profits of company n were 10 percent of revenues . in 1999 , the revenues of company n fell by 30 percent , but profits were 14 percent of revenues . the profits in 1999 were what percent of the profits in 1998 ? | 2gain |
the speed of a train is 110 kmph . what is the distance covered by it in 11 minutes ? | 1physics |
a sum of money at simple interest amounts to rs . 2240 in 2 years and to rs . 2600 in 5 years . the sum is : | 2gain |
mother , her daughter and her grand child weighs 120 kg . daughter and her daughter ( child ) weighs 60 kg . child is 1 / 5 th of her grand mother . what is the age of the daughter ? | 0general |
a meeting has to be conducted with 5 managers . find the number of ways in which the managers may be selected from among 8 managers , if 2 managers will not attend the meeting together . | 4probability |
150 is what percent of 60 ? | 2gain |
if each edge of cube increased by 25 % , the percentage increase in | 2gain |
in a class of students , 1 / 2 of the number of girls is equal to 1 / 5 of the total number of students . what is the ratio of boys to girls in the class ? | 0general |
how many 3 - digit positive integers are there , where each digit is positive , and no 3 adjacent digits are same ? | 0general |
if n = ( 33 ) ^ 43 + ( 23 ) ^ 33 what is the units digit of n ? | 0general |
for a positive integer n , if 5 ^ n is a factor of 20 ! , but 5 ^ n + 1 is not a factor of 20 ! , what is the value of n ? | 5other |
a side of beef lost 35 percent of its weight in processing . if the side of beef weighed 570 pounds after processing , how many pounds did it weigh before processing ? | 2gain |
the volume of a rectangular swimming pool is 840 cubic meters and water is flowing into the swimming pool . if the surface level of the water is rising at the rate of 0.5 meters per minute , what is the rate r , in cubic meters per minutes , at which the water is flowing into the swimming pool ? | 3geometry |
in what time will a railway train 96 m long moving at the rate of 45 kmph pass a telegraph post on its way ? | 1physics |
what is x if x + 2 y = 10 and y = 3 ? | 0general |
if 10 a = 6 b = 20 , then 120 ab = | 0general |
which number need to add to 7844213 to get a number exactly divisible by 549 ? | 0general |
a scale 7 ft . 12 inches long is divided into 4 equal parts . find the length of each part . | 0general |
the population of a town increases 10 % and 20 % respectively in two consecutive years . after the growth the present population of the town is 1320 . then what is the population of the town 2 years ago ? | 2gain |
there were two candidates in an election . winner candidate received 62 % of votes and won the election by 408 votes . find the number of votes casted to the winning candidate ? | 2gain |
balls of equal size are arranged in rows to form an equilateral triangle . the top most row consists of one ball , the 2 nd row of two balls and so on . if 1104 balls are added , then all the balls can be arranged in the shape of square and each of the sides of the square contain 8 balls less than the each side of the triangle did . how many balls made up the triangle ? | 0general |
20 beavers , working together in a constant pace , can build a dam in 3 hours . how many v hours will it take 12 beavers that work at the same pace , to build the same dam ? | 1physics |
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