Problem stringlengths 5 967 | category class label 6
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a man spend 1 / 5 of his salary on food , 1 / 10 of his salary on house rent and 3 / 5 salary on clothes . he still has $ 14000 left with him . find salary . . | 0general |
the equal amounts of money are deposited in two banks each at 15 % per annum for 3.5 years and 10 years respectively . if the difference between their interests is rs . 144 , find the each sum ? | 0general |
in traveling from a dormitory to a certain city , a student went 1 / 5 of the way by foot , 2 / 3 of the way by bus , and the remaining 12 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ? | 1physics |
an error 3 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is : | 2gain |
what is the sum of the first 30 odd natural numbers | 0general |
the l . c . m . of 2 numbers is 54 . the numbers are in the ratio 2 : 3 . find their sum ? | 5other |
the ratio of investments of two partners p and q is 7 : 5 and the ratio of their profits is 7 : 10 . if p invested the money for 7 months , find for how much time did q invest the money ? | 2gain |
if x ^ 2 + 1 / x ^ 2 = √ 12 , what is the value of x ^ 4 + 1 / x ^ 4 ? | 0general |
the ratio of 3 numbers is 5 : 3 : 4 and their sum is 108 . the second number of the 3 numbers is ? | 5other |
a group of 55 adults and 70 children go for trekking . if there is meal for either 70 adults or 90 children and if 42 adults have their meal , find the total number of children that can be catered with the remaining food . | 0general |
tom and john traveled in the same direction along the equal route at their constant speed rates of 15 km per hour and 10 km per hour , respectively . after 15 minutes tom passed john , tom reaches a certain gas station , how many w minutes it takes john to reach the station ? | 1physics |
if 40 % of a number is equal to 2 / 3 of another number , what is the ratio of first number to the second number ? | 0general |
pipe a fills a tank in 20 minutes . pipe b can fill the same tank 4 times as fast as pipe a . if both the pipes are kept open when the tank is empty , how many minutes will it take to fill the tank ? | 1physics |
in one alloy there is 12 % chromium while in another alloy it is 8 % . 20 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy . | 2gain |
the number which exceeds 16 % of it by 42 is ? | 2gain |
the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 53 ) is : | 0general |
in a graduating class , 40 percent of the students are male . in this class , 40 percent of the male students and 30 percent of the female students are 25 years old or older . if one student in the class is randomly selected , approximately what is the probability that he or she will be less than 25 years old ? | 0general |
a number is doubled and 13 is added . if resultant is trebled , it becomes 93 . what is that number | 0general |
we define that k @ j is the product of j number from k in increasing order for positive integers k , j . for example , 6 @ 4 = 6 * 7 * 8 * 9 . if a = 2020 and b = 2120 , what is the value t of the ratio a / b ? | 0general |
a type of extra - large suv averages 12.2 miles per gallon ( mpg ) on the highway , but only 7.6 mpg in the city . what is the maximum distance , in miles , that this suv could be driven on 22 gallons of gasoline ? | 0general |
a library has an average of 1000 visitors on sundays and 700 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is : | 0general |
a man can row upstream at 12 kmph and downstream at 38 kmph , and then find the speed of the man in still water ? | 1physics |
in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 120 girls , the total number of students in the college is ? | 5other |
there are 20 poles with a constant distance between each pole . a car takes 21 second to reach the 12 th pole . how much will it take to reach the last pole . | 1physics |
noelle walks from point a to point b at an average speed of 3 kilometers per hour . at what speed , in kilometers per hour , must noelle walk from point b to point a so that her average speed for the entire trip is 5 kilometers per hour ? | 1physics |
if 75 percent of a class answered the first question on a certain test correctly , 65 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ? | 5other |
two trains of equal lengths take 10 sec and 12 sec respectively to cross a telegraph post . if the length of each train be 120 m , in what time will they cross other travelling in opposite direction ? | 1physics |
the area of a triangle will be when a = 1 m , b = 1 m , c = 2 m , a , b , c being lengths of respective sides ? | 3geometry |
the average weight of 19 students is 15 kg . by the admission of a new student the average weight is reduced to 14.6 kg . the weight of the new student is ? | 0general |
how many two digit numbers are there such that the product of their digits after reducing it to the smallest form is a prime number ? for example if we take 98 then 9 * 8 = 72 , 72 = 7 * 2 = 14 , 14 = 1 * 4 = 4 . consider only 4 prime no . s ( 23 , 57 ) | 0general |
each of the integers from 1 to 16 is written on the a seperate index card and placed in a box . if the cards are drawn from the box at random without replecement , how many cards must be drawn to ensure that the product of all the integers drawn is even ? | 0general |
a taxi owner buys diesel at rs . 8.50 , rs . 9 and rs . 9.50 per litre for 3 successive years . what approximately is the average cost per litre of diesel if he spends rs . 5000 each year ? | 0general |
a man invests rs . 5,000 at the rate of 5 % per annum . how much more should he invest at the rate of 8 % , so that he can earn a total of 6 % per annum ? | 2gain |
an ant walks an average of 500 meters in 12 minutes . a beetle walks 15 % less distance at the same time on the average . assuming the beetle walks at her regular rate , what is its speed in km / h ? | 0general |
when 1 / 10 percent of 5,000 is subtracted from 1 / 10 of 5,000 , the difference is | 0general |
what will be the fraction of 75 % | 2gain |
what is the least number which should be added to 2782 so that the sum is exactly divisible by 5 , 6 , 4 , and 3 ? | 0general |
how much is 35 % of 40 is greater than 4 / 5 of 25 ? | 0general |
two cyclist start from the same places in opposite directions . one is going towards north at 10 kmph and the other is going towards south 10 kmph . what time will they take to be 50 km apart ? | 1physics |
the value of ( 0.2 × 0.2 + 0.01 ) ( 0.1 × 0.1 + 0.02 ) - 1 is equal to | 0general |
a person buys an article at rs . 620 . at what price should he sell the article so as to make a profit of 25 % ? | 2gain |
the average of 10 numbers is 7 . if each number is multiplied by 10 , then what is the average of the new set of numbers ? | 0general |
if xy = 25 , x / y = 36 , for positive numbers x and y , y = ? | 0general |
there is a 20 % chance sandy will visit china this year , while there is a 70 % chance that she will visit malaysia this year . what is the probability that sandy will visit either china or malaysia this year , but not both ? | 4probability |
if 80 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 75 percent of the test takers answered the second question correctly , and 5 percent of the test takers answered neither question correctly , what percent answered both correctly ? | 5other |
dacid obtained 70 , 63 , 80 , 63 and 65 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? | 0general |
the jogging track in a sports complex is 1000 meters in circumference . deepak and his wife start from the same point and walk in opposite directions at 20 km / hr and 13 km / hr respectively . they will meet for the first time in ? | 0general |
at a recent small town election for mayor a total of 979 votes were cast for the 4 candidates , the winner exceeding his opponents by 53 , 79 and 105 votes , respectively . how many votes were cast for the candidate in fourth place ? | 0general |
a train 100 meters long completely crosses a 300 meters long bridge in 30 seconds . what is the speed of the train is ? | 1physics |
a man buys a cycle for rs . 1600 and sells it at a loss of 10 % . what is the selling price of the cycle ? | 2gain |
how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 7 m x 6 m x 22.5 cm ? | 1physics |
walking with 4 / 5 of my usual speed , i arrive at the bus stop 7 minutes later than normal . how many minutes does it take to walk to the bus stop at my usual speed ? | 1physics |
a train 360 m long is running at a speed of 36 km / hr . in what time will it pass a bridge 140 m long ? | 1physics |
a primitive village follows a strange custom . they have babies only to have a boy . whenever a boy is born in a family , they stop having babies and whenever a girl is born , they have a baby again and again till a boy is born . the probability of having a boy is same as the probability of having a girl . what will be the proportion of boys to girls in the village after some time ? | 0general |
a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 19.36 , the number of the member is the group is : | 0general |
compound x contains elements a and b at an approximate ratio , by weight , of 2 : 10 . approximately how many grams of element b are there in 324 grams of compound x ? | 5other |
a $ 77.95 lawn chair was sold for $ 59.95 at a special sale . by approximately what percent was the price decreased ? | 0general |
50 square stone slabs of equal size were needed to cover a floor area of 98 sq . m . find the length of each stone slab ? | 3geometry |
in a division sum , the divisor is 10 times the quotient and 5 times the remainder . if the remainder is 46 , the divident is | 0general |
a and b complete a work in 8 days . a alone can do it in 12 days . if both together can do the work in how many days ? | 1physics |
gary ’ s gas station serves an average of 14 cars per hour on saturdays , 10 cars per hour on sundays , and 9 cars per hour on all other days of the week . if the station is open from 6 a . m . to 10 p . m . every day , how many cars does gary ’ s station serve over the course of a typical week ? | 1physics |
a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses . if student a answers each of the 100 questions on her test and receives a score of 73 , how many questions did student a answer correctly ? | 0general |
find the value of 3 / 11 × [ ( 1 + 1 / 3 ) ( 1 + 1 / 4 ) … … … … . ( 1 + 1 / 120 ) ] is | 0general |
10 meters of wire is available to fence off a flower bed in the form of a circular sector . what must the radius of the circle in meters be , if we wish to have a flower bed with the greatest possible surface area ? | 3geometry |
what is the sum of all possible 3 - digit numbers that can be constructed using the digits 2 , 3 , and 4 if each digit can be used only once in each number ? | 0general |
solution y is 30 percent liquid x and 70 percent water . if 2 kilograms of water evaporate from 8 kilograms of solution y and 2 kilograms of solution y are added to the remaining 6 kilograms of liquid , what percent of this new solution is liquid x ? | 2gain |
tickets to a certain concert sell for $ 20 each . the first 10 people to show up at the ticket booth received a 40 % discount , and the next 20 received a 15 % discount . if 48 people bought tickets to the concert , what was the total revenue from ticket sales ? | 2gain |
a , b and c are partners . a receives 2 / 3 of profits , b and c dividing the remainder equally . a ' s income is increased by rs . 200 when the rate to profit rises from 5 to 7 percent . find the capital of b ? | 0general |
if paint costs $ 3.20 per quart , and a quart covers 60 square feet , how much will it cost to paint the outside of a cube 10 feet on each edge ? | 3geometry |
how many even number in the range between 10 to 160 inclusive are not divisible by 3 | 0general |
the delhi express runs @ 144 kilometers per hours and it reaches destination 20 minute ahead of schedule . if it averages 100 km / hour , it reaches 24 minute behind schedule . what is the average speed it should maintain in order to reach the destination on schedule ? | 1physics |
at a florist shop on a certain day , all corsages sold for either $ 40 or $ 45 . if 8 of the corsages that sold for $ 30 had instead sold for $ 20 , then the store ' s revenue from corsages that day would have been reduced by 20 percent . what was the store ' s actual revenue from corsages that day ? | 2gain |
when a laptop is sold for rs . 27000 , the owner loses 10 % . at what price must that laptop be sold in order to gain 10 % ? | 2gain |
if the radius of a circle is increased by 50 % then the area is increased by : | 3geometry |
a certain company reported that the revenue on sales increased 40 % from 2000 to 2003 , and increased 60 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ? | 2gain |
the difference between the compound interest compounded annually and simple interest for 2 years at 20 % per annum is rs . 144 . find the principal ? | 2gain |
if xy > 0 , 1 / x + 1 / y = 6 , and 1 / xy = 5 , then ( x + y ) / 6 = ? | 0general |
a train 100 meters long completely crosses a 300 meters long bridge in 12 seconds . what is the speed of the train is ? | 1physics |
a reduction of 30 % in the price of salt enables a lady to obtain 10 kgs more for rs . 200 , find the original price per kg ? | 2gain |
if a is a positive integer and 10 ^ a – 74 in decimal notation has digits whose sum is 440 , what is the value of a ? | 0general |
if x = 7 and y = − 2 , what is the value of ( x − 2 y ) ^ y ? | 0general |
a distributor sells a product through an on - line store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 15 per item . what is the price that the buyer observers on - line if the distributor wants to maintain a 10 % profit on the cost of the item ? | 2gain |
if integer k is equal to the sum of all even multiples of 5 between 300 and 610 , what is the greatest prime factor of k ? | 0general |
one ton has 2200 pounds , and one pound has 16 ounces . how many packets containing wheat weighing 16 pounds and 4 ounces each would totally fill a gunny bag of capacity 13 tons ? | 0general |
find the greatest number which leaves the same remainder when it divides 25 , 62 and 105 . | 0general |
if 16 ^ y = 2 ^ 16 , what is y ? | 0general |
an automobile parts supplier charges $ 25 per package of gaskets . when a customer orders more than 10 packages of gaskets , the supplier charges 4 / 5 the price for each package in excess of 10 . during a certain week , the supplier sold 60 packages of gaskets . if 25 percent of the gaskets went to company x , 15 percent to company y , and the rest to company z , what was the total amount , in dollars , that the parts supplier received in payment for the gaskets ? | 0general |
two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 20 % and 20 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of | 0general |
the value of a scooter depreciates in such a way that its value of the end of each year is 3 / 4 of its value of the beginning of the same year . if the initial value of the scooter is rs . 40,000 , what is the value at the end of 5 years ? | 0general |
what percent of 16 is 16 percent of 1 ? | 2gain |
what is the length of a bridge ( in meters ) , which a train 148 meters long and travelling at 45 km / h can cross in 30 seconds ? | 1physics |
at a loading dock , each worker on the night crew loaded 3 / 4 as many boxes as each worker on the day crew . if the night crew has 4 / 7 as many workers as the day crew , what fraction of all the boxes loaded by the two crews did the day crew load ? | 1physics |
in 2008 , the profits of company n were 10 percent of revenues . in 2009 , the revenues of company n fell by 20 percent , but profits were 11 percent of revenues . the profits in 2009 were what percent of the profits in 2008 ? | 2gain |
in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the ` ` sport ' ' formulation , the ratio of flavoring to corn syrup is 3 times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of the ` ` sport ' ' formulation contains 3 ounces of corn syrup , how many ounces of water does it contain ? | 5other |
one year before the age of pramila was 4 times than her daughter swati . after 6 years the age of pramila will be 24 year greater than the age of swati . then calculate the ratio of ages of pramila and swati ? | 0general |
somehow or other i got talked into buying something on the installment plan . i ' m notsure i got a good deal . the payments to date , according to my checkbook , have reached rs . 96 . the second year cost rs . 2.00 more than the first year ; the third year cost rs . 3.00 more thanthe second ; and the fourth year cost me rs . 4.00 more than the third . what were mypayments the first year ? | 1physics |
if x is a sum of all even integers on the interval 23 . . . 65 and y is their number , what is the gcd ( x , y ) ? | 0general |
a cube with its sides numbered 1 through 6 is rolled twice , first landing on a and then landing on b . if any roll of the cube yields an equal chance of landing on any of the numbers 1 through 6 , what is the probability w that a + b is prime ? | 0general |
the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 750 resolutions ? | 1physics |
a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 450 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ? | 1physics |
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