Problem stringlengths 5 967 | category class label 6
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the ratio between the number of sheep and the number of horses at the stewar farm is 4 to 7 . if each of horse is fed 230 ounces of horse food per day and the farm needs a total 12880 ounces of horse food per day . what is number sheep in the form ? ? | 5other |
a man purchased 3 blankets @ rs . 100 each , 5 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 154 . find the unknown rate of two blankets ? | 0general |
last year , company x paid out a total of $ 1 , 050,000 in salaries to its 21 employees . if no employee earned a salary that is more than 15 % greater than any other employee , what is the lowest possible salary that any one employee earned ? | 0general |
in a graduate physics course , 70 percent of the students are male and 30 percent of the students are married . if two - sevenths of the male students are married , what fraction of the female students is married ? | 2gain |
the area of a rectangle is 63 sq m . the width is two meters shorter than the length . what is the width ? | 3geometry |
when the positive integer x is divided by 9 , the remainder is 5 . what is the remainder when 8 x is divided by 9 ? | 0general |
a man can row upstream at 25 kmph and downstream at 65 kmph , and then find the speed of the man in still water ? | 1physics |
a train crosses a bridge of length 150 m in 7.5 seconds and a lamp post on the bridge in 2.5 seconds . what is the length of the train in metres ? | 1physics |
at a special sale , 12 tickets can be purchased for the price of 3 tickets . if 12 tickets are purchased at the sale , the amount saved will be what percent of the original price of the 12 tickets ? | 2gain |
if x > 0 , x / 40 + x / 20 is what percent of x ? | 0general |
the average age of students of a class is 15.8 years . the average age of boys in the class is 16.6 years and that of the girls is 15.4 years . the ration of the number of boys to the number of girls in the class is : | 0general |
solution a is 20 % salt and solution b is 60 % salt . if you have 30 ounces of solution a and 60 ounces of solution b , in what ratio could you mix solution a with solution b to produce 50 ounces of a 50 % salt solution ? | 5other |
if 11.25 m of a uniform steel rod weighs 42.75 kg . what will be the weight of 8 m of the same rod ? | 1physics |
the radius of the wheel of a bus is 250 cms and the speed of the bus is 66 km / h , then the r . p . m . ( revolutions per minutes ) of the wheel is | 1physics |
1000 men have provisions for 21 days . if 800 more men join them , for how many days will the provisions last now ? | 1physics |
a rectangular wall is covered entirely with two kinds of decorative tiles : regular and jumbo . 1 / 3 of the tiles are jumbo tiles , which have a length three times that of regular tiles and have the same ratio of length to width as the regular tiles . if regular tiles cover 40 square feet of the wall , and no tiles overlap , what is the area of the entire wall ? | 3geometry |
how many positive integers less than 10,000 are such that the product of their digits is 210 ? | 0general |
find the last term of a g . p whose first term is 9 and common ratio is ( 1 / 3 ) if the sum of the terms of the g . p is ( 40 / 3 ) | 0general |
the average of marks obtained by 120 boys was 36 . if the average of marks of passed boys was 39 and that of failed boys was 15 , the number of boys who passed the examination is ? | 0general |
shekar scored 76 , 65 , 82 , 62 and 85 marks in mathematics , science , social studies , english and biology respectively . what are his average marks ? | 0general |
a rectangular plot measuring 10 meters by 50 meters is to be enclosed by wire fencing . if the poles of the fence are kept 5 meters apart . how many poles will be needed ? | 1physics |
x can finish a work in 21 days . y can finish the same work in 15 days . y worked for 5 days and left the job . how many days does x alone need to finish the remaining work ? | 1physics |
country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 16 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ? | 0general |
what is the remainder when the number r = 14 ^ 2 * 15 ^ 8 is divided by 5 ? | 0general |
p is able to do a piece of work in 20 days and q can do the same work in 10 days . if they can work together for 2 days , what is the fraction of work left ? | 1physics |
carina has 70 ounces of coffee divided into 5 - and 10 - ounce packages . if she has 2 more 5 - ounce packages than 10 - ounce packages , how many 10 - ounce packages does she have ? | 0general |
the average weight of a , b and c is 45 kg . if the average weight of a and b be 42 kg and that of b and c be 43 kg , then the weight of b is : | 0general |
john found that the average of 15 numbers is 40 . if 11 is added to each number then the mean of number is ? | 0general |
a boat goes 100 km downstream in 8 hours , and 75 km upstream in 15 hours . the speed of the stream is ? | 1physics |
what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 11 nor by 30 ? | 5other |
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 26 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ? | 1physics |
what is the smallest no . which must be added to 25268 so as to obtain a sum which is divisible by 11 ? | 0general |
a train 455 m long , running with a speed of 63 km / hr will pass a tree in ? | 1physics |
the price of an item is discounted 10 percent on day 1 of a sale . on day 2 , the item is discounted another 10 percent , and on day 3 , it is discounted an additional 15 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ? | 2gain |
an aeroplane covers a certain distance at a speed of 120 kmph in 4 hours . to cover the same distance in 1 2 / 3 hours , it must travel at a speed of : | 1physics |
the present age of a father is 3 years more than 3 times the age of his son . 5 years hence , father ' s age will be 10 years more than twice the age of the son . find the present age of the father . | 0general |
the h . c . f . of two numbers is 12 and their l . c . m . is 600 . if one of the number is 20 , find the other ? | 1physics |
what is the next no . 4 12 84 | 0general |
x and y are positive integers . when x is divided by 9 , the remainder is 2 , and when x is divided by 7 , the remainder is 4 . when y is divided by 11 , the remainder is 3 , and when y is divided by 13 , the remainder is 12 . what is the least possible value of y - x ? | 0general |
at joes steakhouse the hourly wage for a chef is 22 % greater than that of a dishwasher , and the hourly wage of a dishwasher is half as much as the hourly wage of a manager . if a managers wage is $ 8.50 per hour , how much less than a manager does a chef earn each hour ? | 0general |
if xerox paper costs 5 cents a sheet and a buyer gets 10 % discount on all xerox paper one buys after the first 2000 papers and 20 % discount after first 10000 papers , how much will it cost to buy 15000 sheets of xerox paper ? | 2gain |
if the sum of two positive integers is 18 and the difference of their squares is 36 , what is the product of the two integers ? | 0general |
a certain number when divided by 80 leaves a remainder 25 , what is the remainder if the same no . be divided by 15 ? | 0general |
a rectangular circuit board is designed to have a width of w inches , a length of l inches , a perimeter of p inches , and an area of c square inches . which of the following equations must be true ? | 3geometry |
a candidate appearing for an examination has to secure 35 % marks to pass paper i . but he secured only 42 marks and failed by 23 marks . what is the maximum mark for paper i ? | 2gain |
how many odd integers from 1 to 50 ( both inclusive ) have odd number of factors ? | 5other |
a rectangular plot measuring 90 metres by 40 metres is to be enclosed by wire fencing . if the poles of the fence are kept 5 metres apart , how many poles will be needed ? | 1physics |
find the value for x from below equation : x / 3 = - 2 ? | 0general |
dan can do a job alone in 12 hours . annie , working alone , can do the same job in just 9 hours . if dan works alone for 4 hours and then stops , how many hours will it take annie , working alone , to complete the job ? | 1physics |
the measurement of a rectangular box with lid is 25 cmx 18 cmx 18 cm . find the volume of the largest sphere that can be inscribed in the box ( in terms of π cm 3 ) . ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere ) | 3geometry |
the probability that a computer company will get a computer hardware contract is 3 / 4 and the probability that it will not get a software contract is 5 / 9 . if the probability of getting at least one contract is 4 / 5 , what is the probability that it will get both the contracts ? | 5other |
working alone at its constant rate , machine a produces x boxes in 10 minutes and working alone at its constant rate , machine b produces 3 x boxes in 5 minutes . how many minutes does it take machines a and b , working simultaneously at their respective constant rates , to produce 3 x boxes ? | 1physics |
a student chose a number , multiplied it by 4 , then subtracted 138 from the result and got 102 . what was the number he chose ? | 0general |
what is the speed of the stream if a canoe rows upstream at 4 km / hr and downstream at 12 km / hr | 1physics |
when asked what the time is , a person answered that the amount of time left is 3 / 5 of the time already completed . what is the time . | 0general |
the side of a cube is 15 m , find it ' s surface area ? | 3geometry |
a water tank is three - fifths full . pipe a can fill a tank in 10 minutes and pipe b can empty it in 6 minutes . if both the pipes are open , how long will it take to empty or fill the tank completely ? | 1physics |
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 4 litres from vessel p is mixed with 8 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? | 5other |
( 228 % of 1265 ) ÷ 6 = ? | 0general |
the first year , two cows produced 8100 litres of milk . the second year their production increased by 15 % and 10 % respectively , and the total amount of milk increased to 9100 litres a year . how many litres were milked from one cow ? | 0general |
the average height of 40 girls out of a class of 50 is 169 cm . and that of the remaining girls is 167 cm . the average height of the whole class is : | 0general |
equal amount of water were poured into two empty jars of different capacities , which made one jar 1 / 7 full and other jar 1 / 6 full . if the water in the jar with lesser capacity is then poured into the jar with greater capacity , what fraction of the larger jar will be filled with water ? | 0general |
given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] – 10 = f ( x – 2 ) ? | 0general |
the population of a town is 10000 . it increases annually at the rate of 40 % p . a . what will be its population after 2 years ? | 2gain |
for any integer n greater than 1 , # n denotes the product of all the integers from 1 to n , inclusive . how many prime numbers e are there between # 6 + 2 and # 6 + 6 , inclusive ? | 0general |
the unit digit in the product ( 784 x 618 x 917 x 463 ) is : | 0general |
the diameter of a cylindrical tin is 8 cm and height is 5 cm . find the volume of the cylinder ? | 3geometry |
whats the reminder when 54,879 , 856,985 , 421,547 , 895,689 , 874,525 , 826,547 is divided by 2 | 0general |
each of the dogs in a certain kennel is a single color . each of the dogs in the kennel either has long fur or does not . of the 45 dogs in the kennel , 26 have long fur , 30 are brown , and 8 are neither long - furred nor brown . how many long - furred dogs are brown ? | 5other |
a person bought 114 glass bowls at a rate of rs . 13 per bowl . he sold 108 of them at rs . 17 and the remaining broke . what is the percentage gain for a ? | 2gain |
a boat can travel with a speed of 16 km / hr in still water . if the rate of stream is 5 km / hr , then find the time taken by the boat to cover distance of 147 km downstream . | 1physics |
the average age of 38 students in a group is 14 years . when teacher â € ™ s age is included to it , the average increases by one . what is the teacher â € ™ s age in years ? | 0general |
the area of a square is 4761 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 |
a positive integer n is a perfect number provided that the sum of all the positive factors of n , including 1 and n , is equal to 2 n . what is the sum of the reciprocals of all the positive factors of the perfect number 28 ? | 0general |
two trains 200 m and 150 m long are running on parallel rails at the rate of 40 kmph and 46 kmph respectively . in how much time will they cross each other , if they are running in the same direction ? | 1physics |
an employee ’ s annual salary was increased 50 % . if her old annual salary equals $ 80,000 , what was the new salary ? | 0general |
a can do a job in 15 days and b in 20 days . if they work on it together for 8 days , then the fraction of the work that is left is ? | 1physics |
a dishonest milkman wants to make a profit on the selling of milk . he would like to mix water ( costing nothing ) with milk costing rs . 33 per litre so as to make a profit of 20 % on cost when he sells the resulting milk and water mixture for rs . 36 in what ratio should he mix the water and milk ? | 2gain |
a dishonest shopkeeper professes to sell pulses at the cost price , but he uses a false weight of 980 gm . for a kg . his gain is … % . | 2gain |
if 20 % of a number = 400 , then 120 % of that number will be ? | 2gain |
at a certain resort , each of the 39 food service employees is trained to work in a minimum of 1 restaurant and a maximum of 3 restaurants . the 3 restaurants are the family buffet , the dining room , and the snack bar . exactly 17 employees are trained to work in the family buffet , 18 are trained to work in the dining room , and 12 are trained to work in the snack bar . if 4 employees are trained to work in exactly 2 restaurants , how many employees are trained to work in all 3 restaurants ? | 1physics |
a cistern is filled by pipe a in 20 hours and the full cistern can be leaked out by an exhaust pipe b in 25 hours . if both the pipes are opened , in what time the cistern is full ? | 1physics |
the population of a town increased from 1 , 75,000 to 2 , 27,500 in a decade . the average percent increase of population per year is | 0general |
- 54 x 29 + 100 = ? | 0general |
if 50 % of 100 is greater than 20 % of a number by 47 , what is the number ? | 2gain |
running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 14 such machines produce in 4 minutes ? | 2gain |
a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 6 gallons of water and 12 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ? | 0general |
there are 250 female managers in a certain company . find the total number of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers . | 0general |
income and expenditure of a person are in the ratio 15 : 8 . if the income of the person is rs . 15000 , then find his savings ? | 5other |
ashok secured average of 78 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ? | 0general |
a man performs 1 / 2 of the total journey by rail , 1 / 3 by bus and the remaining 4 km on foot . his total journey is | 0general |
a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 7.50 . if the company ’ s latest order required a truck with at least 384,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ? | 0general |
if p / q = 3 / 5 , then 2 p + q = ? | 0general |
fred and sam are standing 100 miles apart and they start walking in a straight line toward each other at the same time . if fred walks at a constant speed of 5 miles per hour and sam walks at a constant speed of 5 miles per hour , how many miles has sam walked when they meet ? | 1physics |
the difference between a two digit number and the number obtained by interchanging the digits is 36 . what is the difference between the sum and the difference of the digits of the number if the ratio between the digits of the number is 1 : 2 ? | 0general |
40 + 5 * 12 / ( 180 / 3 ) = ? | 0general |
on dividing 13787 by a certain number , we get 89 as quotient and 14 as remainder . what is the divisor ? | 0general |
in a mixture 60 litres , the ra ɵ o of milk and water 2 : 1 . if the this ra ɵ o is to be 1 : 2 , then the quanity of water to be further added is | 0general |
a scale 6 ft . 8 inches long is divided into 4 equal parts . find the length of each part | 0general |
ramu bought an old car for rs . 42000 . he spent rs . 12000 on repairs and sold it for rs . 64900 . what is his profit percent ? | 2gain |
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