Problem stringlengths 5 967 | category class label 6
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the average of marks obtained by 120 boys was 37 . 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 |
a fruit drink is made of orange , watermelon , and grape juice , where 25 percent of the drink is orange juice and 40 percent is watermelon juice . if the drink is made with 105 ounces of grape juice , how many ounces is the drink total ? | 0general |
find the least number which when divided by 5 , 6,7 , and 8 leaves a remainder 3 , but when divided by 9 leaves no remainder | 0general |
it is the new year and mandy has made a resolution to lose weight this year . she plans to exercise and do yoga . for exercise she plans to workout at the gym and ride her bicycle in the ratio of 2 : 3 everyday . she will also do yoga in the ratio , yoga : exercise = 2 : 3 . if she does yoga for 25 minutes , how much time will she spend in the gym ? | 1physics |
find the compound interest accrued on an amount of rs . 14,800 at 13.5 % p . a at the end of two years . ( round off your answer to nearest integer ? | 2gain |
the ratio between the perimeter and the width of a rectangle is 5 : 1 . if the area of the rectangle is 150 square centimeters , what is the length of the rectangle in centimeters ? | 3geometry |
how many odd numbers between 10 and 1500 are the squares of integers ? | 3geometry |
gold is 11 times as heavy as water and copper is 5 times as heavy as water . in what ratio should these be mixed to get an alloy 8 times as heavy as water ? | 0general |
if a car went the first third of the distance at 80 kmh , the second third at 24 kmh , and the last third at 30 kmh , what was the average speed of the car for the entire trip ? | 1physics |
how many seconds will a train 100 meters long take to cross a bridge 150 meters long if the speed of the train is 63 kmph ? | 1physics |
a store reported total sales of $ 385 million for february of this year . if the total sales for the same month last year was $ 320 million , approximately what was the percent increase i in sales ? | 0general |
income and expenditure of a person are in the ratio 5 : 4 . if the income of the person is rs . 15000 , then find his savings ? | 5other |
salesperson a ' s compensation for any week is $ 280 plus 6 percent of the portion of a ' s total sales above $ 1,000 for that week . salesperson b ' s compensation for any week is 8 percent of b ' s total sales for that week . for what amount of total weekly sales would both salespeople earn the same compensation ? | 0general |
rashmi walks to her bus stop at 5 kmph and reaches there late by 10 minutes . on the next day , she increases her speed to 6 kmph and reaches the bus stop 10 minutes early . how far is the bus stop ? | 1physics |
the amount of principal rs . 8000 at compound interest at the ratio of 5 % p . a . for 2 years is | 2gain |
a cistern 6 m long and 4 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is : | 1physics |
all the milk in container a which was filled to its brim was poured into two containers b and c . the quantity of milk in container b was 62.5 % less than the capacity of container a . if 152 liters was now transferred from c to b , then both the containers would have equal quantities of milk . what was the initial quantity of milk in container a ? | 0general |
the average expenditure of a labourer for 7 months was 85 and he fell into debt . in the next 4 months by reducing his monthly expenses to 60 he not only cleared off his debt but also saved 30 . his monthly income is | 0general |
a man leaves a point p at 6 a . m . and reaches the point q at 10 a . m . another man leaves the point give at 8 a . m . and reaches the point p at 12 noon . at what time do they meet ? | 1physics |
35 % of major airline companies equip their planes with wireless internet access . 70 % of major airlines offer passengers free on - board snacks . what is the greatest possible percentage of major airline companies that offer both wireless internet and free on - board snacks ? | 0general |
the batting average of a particular batsman is 59 runs in 46 innings . if the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs , find his highest score . | 0general |
find the simple interest on $ 3000 for 3 years at 10 % per annum ? | 2gain |
if 9 ^ y = 3 ^ 12 , what is y ? | 0general |
during a car trip , maria stopped to rest after she traveled 1 / 2 of the total distance to her destination . she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination , and then she drove the remaining 150 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ? | 1physics |
with a uniform speed a car covers the distance in 8 hours . had the speed been increased by 1 km / hr , the same distance could have been covered in 7 1 / 2 hours . what is the distance covered ? | 1physics |
the ratio of the present age of sandy to that of molly is 7 : 2 . eight years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ? | 5other |
the average monthly salary of 8 workers and one supervisor in a factory was 430 . @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430 . @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430 . whenthesupervisor , whosesalarywas 430 . when the supervisor , whose salary was 870 per month , retired , a new person was appointed and then the average salary of 9 people was $ $ 420 per month . the salary of the new supervisor is : | 0general |
the average of 6 no . ' s is 3.95 . the average of 2 of them is 3.6 , while the average of the other 2 is 3.85 . what is the average of the remaining 2 no ' s ? | 0general |
two trains 121 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 55 kmph . in what time will they be completely clear of each other from the moment they meet ? | 1physics |
24 oz of juice p and 25 oz of juice q are mixed to make smothies x and y . the ratio of p to q in smothie x is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie x ? | 5other |
a shirt goes on sale for 90 % 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 |
in a certain parking lot , 2 % of the cars are towed for parking illegally . however 80 % of the cars which are parked illegally are not towed . what percentage of cars in the parking lot are parked illegally ? | 2gain |
the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5 . if the sum of their ages is 145 , what is the difference between the ages of patrick and monica ? | 0general |
a is an integer greater than 29 but less than 41 , b is an integer greater than 39 but less than 51 , what is the range of a / b ? | 0general |
in one year , the population , of a village increased by 5 % and in the next year , it decreased by 5 % . if at the end of 2 nd year , the population was 9975 , what was it in the beginning ? | 0general |
if 2 ^ ( 2 w ) = 8 ^ ( w − 1 ) , what is the value of w ? | 0general |
a person travels equal distances with speeds of 7 km / hr , 8 km / hr and 9 km / hr and takes a total time of 47 minutes . the total distance is ? | 1physics |
a leak in the bottom of a tank can empty the full tank in 9 hours . an inlet pipe fills water at the rate of 6 litres a minute . when the tank is full , the inlet is opened and due to the leak , the tank is empty in 12 hours . how many litres does the cistern hold ? | 1physics |
if k ^ 2 is divisible by 240 what is the least possible value of integer k ? | 0general |
you enter a weight loss challenge game and manage to lose 11 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ? | 2gain |
in a certain game , a large bag is filled with blue , green , purple and red chips worth 1 , 5 , x and 11 points each , respectively . the purple chips are worth more than the green chips , but less than the red chips . a certain number of chips are then selected from the bag . if the product of the point values of the selected chips is 2200 , how many purple chips were selected ? | 0general |
solution a is 40 % salt and solution b is 80 % 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 |
a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 40 as remainder . find the no . is ? | 0general |
a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 1500 . the difference between the profit shares of a and c is ? | 2gain |
a cement mixture is composed of 3 elements . by weight , 1 / 3 of the mixture is sand , 1 / 2 of the mixture is water , and the remaining 8 pounds of the mixture is gravel . what is the weight of the entire mixture in pounds ? | 0general |
machine a and machine b are each used to manufacture 330 sprockets . it takes machine a 10 hours longer to produce 330 sprockets than machine b . machine b produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machineaproduce ? | 2gain |
albert is 2 times mary ’ s age and 4 times as old as betty . mary is 14 years younger than albert . how old is betty ? | 0general |
how many kg of pure salt must be added to 100 kg of 10 % solution of salt and water to increase it to a 35 % solution ? | 0general |
when y is divided by 276 , the remainder is 42 . what is the remainder when the same y is divided by 23 ? | 0general |
when 200 is divided by positive integer x , the remainder is 2 . what is the remainder when 398 is divided by x ? | 0general |
what quantity of water should taken out to concentrate 12 liters of 40 % acidic liquid to 60 % acidic liquid ? | 2gain |
john had a stock of 700 books in his bookshop . he sold 50 on monday , 82 on tuesday , 60 on wednesday , 48 on thursday and 40 on friday . what percentage of the books were not sold ? | 2gain |
if it takes a tub 4 minutes to drain 5 / 7 of its content , how much more time will it take for the tub to be empty ? | 0general |
a welder received an order to make a 1 million liter cube - shaped tank . if he has only 4 x 2 meter sheets of metal that can be cut , how many metal sheets will be required for this ordert ? ( 1 cubic meter = 1000 liters ) | 0general |
when a merchant imported a certain item , he paid a 9 percent import tax on the portion of the total value of the item in excess of $ 1,000 . if the amount of the import tax that the merchant paid was $ 85.50 , what was the total value of the item ? | 0general |
how many different 3 - digit multiples of 5 can be composed of digits 2 , 7 , 4 , and 5 if none of the digits is repeated ? | 0general |
in a class of 38 children , 19 play tennis , 21 play squash and 10 play neither sport . ( 1 ) how many children play both sports ? | 5other |
a train 440 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 |
firm a ' s revenues are described by the equation ra = 17.12 x and its costs by ca = 12.87 x + 2400 . firm b ' s revenues are described by the equation rb = 13.27 x and its costs by cb = 8.77 x + 1500 . ( x denotes the quantity of sales ) . if a ' s volume of sales increases from 1000 to 3000 over the same period that b ' s volume increases from 2000 to 3000 , the percent increase in profits for the firm with the biggest dollar increase in profits is | 0general |
how many seconds will a 500 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ? | 1physics |
a and b together can do a piece of work in 6 days and a alone can do it in 9 days . in how many days can b alone can do it ? | 1physics |
√ 6 percent of 6 √ 6 = | 2gain |
20 binders can bind 1400 books in 21 days . how many binders will be required to bind 1600 books in 20 days ? | 1physics |
a man can do a job in 20 days . his father takes 20 days and his son finishes it in 25 days . how long will they take to complete the job if they all work together ? | 1physics |
what will be the vulgar fraction of 0.4 | 0general |
in a school 10 % of the boys are same in number as 1 / 4 th of the girls . what is the ratio of boys to the girls in the school ? | 5other |
the volume of a cistern is 840 cubic meters and water is flowing into the cistern . if the surface level of the water is rising at the rate of 0.5 meters per minute , what is the rate , in cubic meters per minutes , at which the water is flowing into the cistern ? | 1physics |
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 4 litres from vessel p is mixed with 6 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? | 5other |
a number whose fifth part increased by 2 is equal to its fourth part diminished by 2 is ? | 0general |
if an object travels at four feet per second , how many feet does it travel in one hour ? | 1physics |
a 230 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 the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 90 , what is the value of c â ˆ ’ a ? | 0general |
the diagonals of a rhombus are 17 cm and 20 cm . find its area ? | 3geometry |
? x 240 = 173 x 240 | 0general |
at a summer camp with 900 participants , 1 / 2 of the campers are aged 8 to 12 . next year , the number of campers aged 8 to 12 will increase by 1 / 3 . after this change , what percentage of the total 900 campers will the 8 - to 12 - year - olds represent ? | 0general |
a rectangular courtyard 3.78 m lang and 5.25 m broad is to be paved exactly with square tiles , all of the same size . the minimum number of such tiles is : | 3geometry |
12 years ago , p was half of q in age . if the ratio of their present ages is 3 : 4 , what will be the total of their present ages | 0general |
a can do a piece of work in 6 days and b can do it in 6 days how long will they both work together to complete the work ? | 1physics |
bag a contains red , white and blue marbles such that the red to white marble ratio is 1 : 3 and the white to blue marble ratio is 2 : 3 . bag b contains red and white marbles in the ratio of 1 : 4 . together , the two bags contain 20 white marbles . how many red marbles could be in bag a ? | 5other |
a number when divided by 5 gives a number which is 8 more than the remainder obtained on dividing the same number by 34 . such a least possible number n is | 0general |
a reduction in the price of petrol by 10 % enables a motorist to buy 5 gallons more for $ 190 . find the original price of petrol ? | 2gain |
a train is travelling at 48 kmph . it crosses another train having half of its length , travelling in opposite direction at 42 kmph , in 12 seconds . it also passes a railway platform in 45 seconds . what is the length of the platform ? | 1physics |
if 3 / p = 6 and 3 / q = 15 then p – q = ? | 0general |
light glows for every 13 seconds . how many max . times did it glow between 1 : 57 : 58 and 3 : 20 : 47 am . | 0general |
in an election , candidate a got 80 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate ? | 2gain |
what is the square root of 239,121 ? | 5other |
if n = 2 ^ 0.1 and n ^ b = 16 , b must equal | 0general |
find the perimeter and area of the rectangle of length 11 cm and breadth 7 cm . | 3geometry |
the maximum number of students among them 1001 pens and 910 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is : | 0general |
a will states that the estate would be divided among 6 sons with the remainder donated to charity . one stipulation in the will is that no one among the sons can receive an amount within 12 % of another ' s amount . if one of the beneficiaries received $ 30000 , what is the smallest possible range between the highest and lowest amounts ( rounded to the nearest dollar ) among the 6 sons ? | 0general |
calculate 469111 x 9999 = ? | 0general |
simple interest on a certain sum at a certain annual rate of interest is 1 / 25 of the sum . if the numbers representing rate percent and time in years be equal , then the rate of interest is : | 2gain |
two numbers are in the ratio of 1 : 2 . if 9 be added to both , their ratio changes to 3 : 5 . the greater number is | 5other |
bookman purchased 60 copies of a new book released recently , 10 of which are hardback and sold for $ 20 each , and rest are paperback and sold for $ 10 each . if 14 copies were sold and the total value of the remaining books was 660 , how many paperback copies were sold ? | 0general |
last year manfred received 26 paychecks . each of his first 6 paychecks was $ 760 ; each of his remaining paychecks was $ 30 more than each of his first 6 paychecks . to the nearest dollar , what was the average ( arithmetic mean ) amount of his pay checks for the year ? | 0general |
two men started from the same place walk at the rate of 10 kmph and 12 kmph respectively . what time will they take to be 30 km apart , if they walk in the same direction ? | 2gain |
if a ' s salary is 20 % less than b ' s salary , by how much percentage is b ' s salary more than a ' s ? | 0general |
the area of a square is equal to three times the area of a rectangle of dimensions 15 cm * 5 cm . what is the perimeter of the square ? | 3geometry |
a reduction of 20 % in the price of salt enables a lady to obtain 5 kgs more for rs . 100 , find the original price per kg ? | 2gain |
find 103 × × 10 | 0general |
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