Problem stringlengths 5 967 | category class label 6
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in the third grade of windblown school there are 108 students , one third of them failed the math test and 1 / 6 failed that literature test . at least how many students failed both tests ? | 5other |
if a ( a - 4 ) = 21 and b ( b - 4 ) = 21 , where a ≠ b , then a + b = | 0general |
a housing society has been allotted a square piece of land measuring 2550.25 sq . m . what is the side of the plot ? | 1physics |
in a certificate by mistake a candidate gave his height as 10 % more than actual height . in the interview panel , he clarified that his height was 5 feet 5 nches . find the % correction made by the candidate from his stated height to his actual height ? | 2gain |
rs . 900 becomes rs . 956 in 3 years at a certain rate of simple interest . if the rate of interest is increased by 4 % , what amount will rs . 900 become in 3 years ? | 2gain |
if the population of a certain country increases at the rate of one person every 20 seconds , by how many persons does the population increase in 30 minutes ? | 1physics |
jake took a bus from home to market , that travels at 10 kmph . while walking back at 2 kmph , halfway through , he suddenly realized he was getting late and he cycled back the remaining distance in 50 kmph . find the average speed . | 1physics |
a survey reveals that the average income of a company ’ s customers is $ 45000 per year . if 50 customers respond to the survey and the average income of the wealthiest 10 of those customers is $ 55000 , what is the average income of the other 40 customers ? is there a way to solve this using weighted average concept instead of doing tedious calculations ? | 0general |
hcf of two numbers is 11 and the product of these numbers is 363 , what is the the greater number ? | 0general |
if n divided by 7 has a remainder of 2 , what is the remainder when 4 times n is divided by 7 ? | 0general |
running at the same rate , 8 identical machines can produce 560 paperclips a minute . at this rate , how many paperclips could 12 machines produce in 6 minutes ? | 2gain |
if 8 workers can build 8 cars in 8 days , then how many days would it take 5 workers to build 5 cars ? | 1physics |
square m is inscribed in circle n . if the perimeter of m is 20 , what is the circumference of n ? | 3geometry |
if both 7 ^ 2 and 3 ^ 4 are factors of the number a * 4 ^ 3 * 6 ^ 2 * 13 ^ 11 , then what is the smallest possible value of a ? | 5other |
how many times digit 6 is used while writing numbers from 100 to 1400 ? | 0general |
a confectioner decides to sell all of his pastry due to the coming holiday . his pastry goods are equally divided among a group of 25 regular customers . if only 49 customers come to the bakery , each one will receive 6 less pastry goods . how much pastry does the confectioner needs to sell ? | 0general |
the sum of the non - prime numbers between 40 and 50 , non - inclusive , is | 0general |
fresh grapes contain 90 % by weight while dried grapes contain 20 % water by weight . what is the weight of dry grapes available from 20 kg of fresh grapes ? | 2gain |
there are 9 players in a chess group , and each player plays each of the others once . given that each game is played by two players , how many total games will be played ? | 0general |
in order to obtain an income of rs . 680 from 10 % stock at rs . 120 , one must make an investment of | 2gain |
in a party every person shakes hands with every other person . if there are 105 hands shakes , find the number of person in the party | 0general |
the price of stock decreased by 8 % last year and rose by 10 % this year . what is the net percentage change in the price of the stock ? | 2gain |
two men and three women working 7 hours a day finish a work in 5 days . four men and four women working 3 hours a day complete the work in 7 days . the number of days in which only 7 men working 4 hours a day will finish the work is ? | 1physics |
a train is running at a speed of 40 km / hr and it crosses a post in 19.8 seconds . what is the length of the train ? | 1physics |
the average age of 20 persons in a office is 15 years . out of these , the average age of 5 of them is 14 years and that of the other 9 persons is 16 years . the age of the 15 th person is ? | 0general |
in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 8 , 1 ) , ( 1 , 1 ) , ( 1 , - 7 and ( - 8 , - 7 ) ? | 3geometry |
on a certain farm the ratio of horses to cows is 6 : 1 . if the farm were to sell 15 horses and buy 15 cows , the ratio of horses to cows would then be 3 : 1 . after the transaction , how many more horses than cows would the farm own ? | 5other |
if a * b * c = 195 , b * c * d = 65 , c * d * e = 1000 and d * e * f = 250 the ( a * f ) / ( c * d ) = ? | 0general |
a circular well with a diameter of 2 metres , is dug to a depth of 4 metres . what is the volume of the earth dug out ? | 3geometry |
what is the least value of x , so that 2 x 5478 is divisible by 9 | 0general |
the jogging track in a sports complex is 594 m in circumference . deepak and his wife start from the same point and walk in opposite directions at 4.5 km / hr and 3.75 km / hr respectively . they will meet for the first time in ? | 0general |
a can do a job in 45 days and b can do it in 30 days . a and b working together will finish 4 times the amount of work in - - - - - - - days ? | 1physics |
on dividing a number by 357 , we get 37 as remainder . on dividing the same number by 17 , what will be the remainder ? | 0general |
a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 55 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . ) | 0general |
a vessel of capacity 45 litres is fully filled with pure milk . nine litres of milk is removed from the vessel and replaced with water . nine litres of the solution thus formed is removed and replaced with water . find the quantity of pure milk in the final milk solution ? | 1physics |
if circles x and y have the same area and circle x has a circumference of 12 π , half of the radius of circle y is : | 3geometry |
convert the 18 / 42 m / s into kilometers per hour ? | 1physics |
if a man lost 1 % by selling oranges at the rate of 16 a rupee at how many a rupee must he sell them to gain 44 % ? | 2gain |
a certain car uses one gallon of gasoline every 34 miles when it travels on highway , and one gallon of gasoline every 20 miles when it travels in the city . when a car travels 4 miles on highway and 4 additional miles in the city , it uses what percent more gasoline than if it travels 8 miles on the highway ? | 0general |
in measuring the sides of a rectangle , one side is taken 9 % in excess , and the other 8 % in deficit . find the error percent in the area calculated from these measurements . | 3geometry |
there is 50 % increase in an amount in 6 years at s . i . what will be the c . i . of rs . 12,000 after 3 years at the same rate ? | 2gain |
if the cost price is 86 % of the selling price , then what is the profit percent ? | 2gain |
find the length of the wire required to go 15 times round a square field containing 69696 m ^ 2 . | 0general |
the average of 5 quantities is 8 . the average of 3 of them is 4 . what is the average of remaining 2 numbers ? | 0general |
the perimeter of one square is 48 cm and that of another is 20 cm . find the perimeter and the diagonal of a square which is equal in area to these two combined ? | 3geometry |
in a class of 40 students , 2 students did not borrow any books from the library , 12 students each borrowed 1 book , 14 students each borrowed 2 books , and the rest borrowed at least 3 books . if the average number of books per student was 2 , what is the maximum number of books any single student could have borrowed ? | 0general |
a picnic attracts 240 persons . there are 30 more men than women , and 30 more adults than children . how many men are at this picnic ? | 0general |
find 80 / ? = ? / 20 | 0general |
what is the greatest positive integer r such that 3 ^ r is a factor of 9 ^ 10 ? | 5other |
find the average of all the numbers between 40 and 80 which are divisible by 3 . | 0general |
a can do a job in 18 days and b can do it in 30 days . in how many days will they finish it together ? | 1physics |
in the xy - plane the point ( - 2 - 3 ) is the centre of a circle , the point ( - 2 , 1 ) lies inside the circle and the point ( 4 , - 3 ) lies outside the circle . if the radius r of the circle r is an integer then diameter ? | 1physics |
the mass of 1 cubic meter of a substance is 300 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 |
in a 300 member association consisting of men and women , exactly 80 % of men and exactly 15 % women are homeowners . what is the least number of members who are homeowners ? | 0general |
mark has a rectangular driveway with a line painted diagonally across . the length of the driveway is 5 feet longer than its width . if the total area of the driveway is 36 square feet , what is the length of the painted line ( in feet ) ? | 3geometry |
tom reads at an average rate of 30 pages per hour , while jan reads at an average rate of 41 pages per hour . if tom starts reading a novel at 3 : 20 , and jan begins reading an identical copy of the same book at 4 : 26 , at what time will they be reading the same page ? | 0general |
a theater charges $ 12 for seats in the orchestra and $ 8 for seats in the balcony . on a certain night , a total of 355 tickets were sold for a total cost of $ 3,320 . how many more tickets were sold that night for seats in the balcony than for seats in the orchestra ? | 0general |
a certain family has 3 sons : richard is 6 years older than david , and david is 8 years older than scott . if in 8 years , richard will be twice as old as scott , then how old was david 6 years ago ? | 0general |
a type t machine can complete a job in 5 hours and a type b machine can complete the job in 7 hours . how many hours will it take 2 type t machines and 3 type b machines working together and independently to complete the job ? | 1physics |
on a certain date , pat invested $ 10,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 12 years will be $ 40,000 , in how many years , the total value of the investment plus interest will increase to $ 120,000 ? | 0general |
if the sum of two numbers is 16 and the sum of their squares is 200 , then the product of the numbers is | 0general |
a and b can do a piece of work in 12 days . with the help of c they finish the work in 6 days . c alone can do that piece of work in ? | 1physics |
an amount of money is to be divided between p , q and r in the ratio of 3 : 7 : 12 . if the difference between the shares of p and q is rs . 4000 , what will be the difference between q and r ' s share ? | 0general |
running at the same constant rate , 6 identical machines can produce a total of 390 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ? | 2gain |
a certain pair of used shoes can be repaired for $ 14.50 and will last for 1 year . a pair of the same kind of shoes can be purchased new for $ 32.00 and will last for 2 years . the average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes ? | 0general |
if length of rectangle is increased by 10 % , and breadth is decreased by 10 % . what will it effect on area of rectangle ? | 3geometry |
what is the ratio of 12 minute to 1 hour ? | 1physics |
8 * 8 * 8 * 8 = 2 ^ ? | 0general |
what is the smallest no . which must be added to 53403977 so as to obtain a sum which is divisible by 11 ? | 0general |
each child has 8 crayons and 15 apples . if there are 7 children , how many crayons are there in total ? | 0general |
a student took 6 courses last year and received an average ( arithmetic mean ) grade of 100 points . the year before , the student took 5 courses and received an average grade of 60 points . to the nearest tenth of a point , what was the student ’ s average grade for the entire two - year period ? | 0general |
a person is traveling at 20 km / hr and reached his destiny in 2.5 hr then find the distance ? | 1physics |
the parameter of a square is equal to the perimeter of a rectangle of length 16 cm and breadth 12 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 |
a motorcyclist goes from bombay to pune , a distance of 192 kms at an average of 32 kmph speed . another man starts from bombay by car 2 ½ hours after the first , and reaches pune ½ hour earlier . what is the ratio of the speed of the motorcycle and the car ? | 1physics |
a corporation paid $ 8 million in federal taxes on its first $ 50 million of gross profits and then $ 30 million in federal taxes on the next $ 150 million in gross profits . by approximately what percent did the ratio of federal taxes to gross profits increase from the first $ 50 million in profits to the next $ 150 million in profits ? | 2gain |
what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 9 , 40 and 41 ? | 3geometry |
70 , 75 , 80 , 85 , 90 , 105 , 105 , 130 , 130 , 130 the list shown consists of the times , in seconds , that it took each of 10 schoolchildren to run a distance of 400 on of meters . if the standard devastation of the 10 running times is 25.4 seconds , rounded to the nearest tenth of a second , how many of the 10 running times are more than 1 standard deviation below the mean of the 10 running times ? | 0general |
if x is invested in a bank at a rate of simple interest of y % p . a . for two years , then the interest earned is 400 . if x is invested at y % p . a . , for two years when the interest is compounded annually , the interest is 410 . what is the value of x ? | 2gain |
a cricket bat is sold for $ 900 , making a profit of $ 225 . the profit percentage would be | 2gain |
a part of certain sum of money is invested at 16 % per annum and the rest at 12 % per annum , if the interest earned in each case for the same period is equal , then ratio of the sums invested is ? | 2gain |
reduce 4128 / 4386 to its lowest terms | 0general |
a bag holds 2 red marbles and 3 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ? | 5other |
for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 40 ? | 0general |
a contractor undertook to do a piece of work in 9 days . he employed certain number of laboures but 6 of them were absent from the very first day and the rest could finish the work in only 15 days . find the number of men originally employed . | 1physics |
the average of 11 results is 42 , if the average of first 5 results is 49 and that of the last 7 is 52 . find the fifth result ? | 0general |
a train travelling at 48 kmph completely crosses another train having half its length and travelling in opposite direction at 42 kmph , in 12 seconds . it also passes a railway platform in 45 seconds . the length of the platform is | 1physics |
if x is to be chosen at random from the set { 1 , 2 , 3 } and y is to be chosen at random from the set { 5 , 6 , 7 } , what is the probability that xy will be even ? | 4probability |
if seven machines working at the same rate can do 3 / 4 of a job in 30 minutes , how many minutes would it take two machines working at the same rate to do 3 / 5 of the job ? | 1physics |
what is the % change in the area of a rectangle when its length increases by 60 % and its width decreases by 60 % ? | 3geometry |
initially two cups of same volume are present with milk filled upto 3 / 5 th and 4 / 5 th of their volumes . water is then filled . then two mixtures are mixed . find the ratio of water to milk in the mixture | 0general |
convert 600 miles into meters ? | 1physics |
heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many liters of tomato puree will be obtained from 30 litres of tomato juice ? | 2gain |
if x < y < z and y - x > 3 , where x is an even integer and y and z are odd integers , what is the least possible value of z - x ? | 0general |
if an amount of rs 42900 is distributed equally amongst 22 persons , how much amount would each person get ? | 0general |
six bells commence tolling together and toll at intervals of 2 , 4 , 6 , 8 10 and 12 seconds respectively . in 50 minutes , how many times do they toll together ? | 1physics |
what least number must be subtracted from 9671 so that the remaining number is divisible by 5 ? | 0general |
find the average of all prime numbers between 50 and 70 | 0general |
the sum of ages of 5 children born at the intervals of 3 years each is 70 years . what is the age of the youngest child ? | 0general |
for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 120 ? | 0general |
the average of thirteen numbers is 9 . the average of first 6 numbers is 5 and the average of last 6 numbers is 7 . what is the middle number ? | 0general |
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