Problem stringlengths 5 967 | category class label 6
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a sum fetched a total simple interest of rs . 100 at the rate of 5 p . c . p . a . in 4 years . what is the sum ? | 2gain |
an auction house charges a commission of 18 % on the first $ 50,000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ? | 0general |
if one person completes a journey in 10 hrs . he travels 1 st half of the journey at the rate of 21 km / hr and 2 nd half at therate of 24 km / hr . find the total journey in km . | 0general |
m = { - 6 , - 5 , - 4 , - 3 , - 2 , - 1 } t = { - 5 , - 4 , - 3 , - 2 , - 1 , 0 , 1 , 2 } if an integer is to be randomly selected from set m above and an integer is to be randomly selected from set t above , what is the probability that the product of the two integers will be negative ? | 0general |
the radius of a cylinder is 6 m , height 21 m . the total surface area of the cylinder is ? | 3geometry |
an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses . last week she sold 5 more pairs of soft lenses than hard lenses . if her total sales for pairs of contact lenses last week were $ 2,160 , what was the total number of pairs of contact lenses that she sold ? | 0general |
what is the tenth digit of ( 5 ! * 5 ! - 5 ! * 3 ! ) / 5 ? | 0general |
30 pens and 75 pencils were purchased for 570 . if the average price of a pencil was 2.00 , find the average price of a pen . | 0general |
if 20 typists can type 42 letters in 20 minutes , then how many letters will 30 typists working at the same rate complete in 1 hour ? | 1physics |
a certain electric - company plan offers customers reduced rates for electricity used between 8 p . m . and 8 a . m . weekdays and 24 hours a day saturdays and sundays . under this plan , the reduced rates q apply to what fraction of a week ? | 1physics |
in a neighborhood having 90 households , 11 did not have either a car or a bike . if 18 households had a both a car and a bike and 44 had a car , how many had bike only ? | 5other |
two trains of equal are running on parallel lines in the same direction at 42 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ? | 0general |
a customer pays 70 dollars for a coffee maker after a discount of 20 dollars what is the original price of the coffe maker ? | 2gain |
if 40 % of a certain number is 160 , then what is 50 % of that number ? | 2gain |
a man can row his boat with the stream at 12 km / h and against the stream in 4 km / h . the man ' s rate is ? | 2gain |
the circumferences of two circles are 132 meters and 352 meters . find the difference between the areas of the larger and the smaller circles ? | 3geometry |
the cost of one photocopy is $ 0.02 . however , a 25 % discount is offered on orders of more than 100 photocopies . if steve and dinley have to make 80 copies each , how much will each of them save if they submit a single order of 160 copies ? | 2gain |
the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 16000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is : | 0general |
when positive integer w is divided by 13 , the remainder is 2 . when n is divided by 8 , the remainder is 5 . how many such values are less than 180 ? | 0general |
a certain box has 11 cards and each card has one of the integers from 1 to 11 inclusive . each card has a different number . if 2 different cards are selected at random , what is the probability that the sum of the numbers written on the 2 cards is less than the average ( arithmetic mean ) of all the numbers written on the 11 cards ? | 0general |
if a 2 + b 2 + c 2 = 281 and ab + bc + ca = 4 , then a + b + c is | 0general |
pradeep has to obtain 25 % of the total marks to pass . he got 185 marks and failed by 25 marks . the maximum marks are | 0general |
how many digits will be there to the right of the decimal point in the product of 98 and . 08216 ? | 0general |
9 men went to a theater . 8 of them spent rs . 3 each over their tickets and the ninth spent rs . 2 more than the average expenditure of all the 9 . determine the total money spent by them ? | 0general |
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 48 white marbles . how many red marbles could be in bag a ? | 5other |
a runs 1 2 / 3 times as fast as b . if a gives b a start of 80 m , how far must the winning post be so that a and b might reach it at the same time ? | 0general |
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 18 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 |
if d = 1 / ( 2 ^ 3 * 5 ^ 6 ) is expressed as a terminating decimal , how many nonzero digits will d have ? | 0general |
if the perimeter and diagonal of a rectangle are 14 and 5 cms respectively , find its area . | 3geometry |
a train 110 m long is running with a speed of 50 km / h . in how many seconds will the train pass a man who is running at 5 km / h in the direction opposite to that in which the train is going ? | 1physics |
when working alone , painter w can paint a room in 2 hours , and working alone , painter x can paint the same room in h hours . when the two painters work together and independently , they can paint the room in 3 / 4 of an hour . what is the value of h ? | 1physics |
if two - third of a bucket is filled in 100 seconds then the time taken to fill the bucket completely will be . | 1physics |
if a is a positive integer , and if the units digit of a ^ 2 is 9 and the units digit of ( a + 1 ) ^ 2 is 4 , what is the units digit of ( a + 2 ) ^ 2 ? | 0general |
if the cost price is 81 % of selling price then what is the profit percentage . | 2gain |
farm tax is levied on the 60 % of the cultivated land . the tax department collected total $ 5000 through the farm tax from the village of mr . william . mr . william paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is : | 0general |
in company j , the total monthly payroll for the 15 factory workers is $ 30000 and the total monthly payroll for the 30 office workers is $ 75000 . by how much does the average ( arithmetic mean ) monthly salary of an office worker exceed that of a factory worker in this company ? | 0general |
the average mark of the students of a class in a particular exam is 70 . if 5 students whose average mark in that exam is 50 are excluded , the average mark of the remaining will be 90 . find the number of students who wrote the exam ? | 0general |
what is the smallest positive integer nn such that √ 6,480 ∗ n is a perfect cube ? | 3geometry |
what will be the fraction of 12 % | 2gain |
at joel ’ s bookstore , the current inventory is 40 % historical fiction . of the historical fiction books , 40 % are new releases , while 20 % of the other books are new releases . what fraction of all new releases are the historical fiction new releases ? | 2gain |
a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock is ? | 2gain |
a rectangle having length 120 cm and width 50 cm . if the length of the rectangle is increased by ten percent then how much percent the breadth should be decreased so as to maintain the same area . | 3geometry |
the average temperature for monday , tuesday , wednesday and thursday was 48 degrees and for tuesday , wednesday , thursday and friday was 46 degrees . if the temperature on monday was 39 degrees . find the temperature on friday ? | 0general |
it takes joey the postman 1 hours to run a 2 mile long route every day . he delivers packages and then returns to the post office along the same path . if the average speed of the round trip is 3 mile / hour , what is the speed with which joey returns ? | 1physics |
a man is 16 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is | 0general |
a man ' s speed with the current is 15 km / hr and the speed of the current is 2.5 km / hr . the man ' s speed against the current is ? | 2gain |
a man ' s speed with the current is 21 km / hr and the speed of the current is 4.3 km / hr . the man ' s speed against the current is | 2gain |
three cubes of metal whose edges are 9 , 12 and 15 cm respectively , are melted and one new cube is made . find the edge of the new cube ? | 1physics |
martin buys a pencil and a notebook for 80 cents . at the same store , gloria buys a notebook and an eraser for 85 cents , and zachary buys a pencil and an eraser for 45 cents . how many cents would it cost to buy 3 pencils , 3 notebooks , and 3 erasers ? ( assume that there is no volume discount . ) | 2gain |
a man buys a cycle for rs . 1400 and sells it at a loss of 25 % . what is the selling price of the cycle ? | 2gain |
1 + 3 = 2 2 + 3 = 10 3 + 3 = 30 4 + 3 = 68 5 + 3 = ? ? | 0general |
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 90 square feet of the wall , and no tiles overlap , what is the area of the entire wall ? | 3geometry |
what is the difference between the place value of 2 in the numeral 7669 ? | 0general |
machine a and machine b are each used to manufacture 770 sprockets . it takes machine a 10 hours longer to produce 770 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ? | 2gain |
if x gets 25 % more than y and y gets 20 % more than z , the share of z out of rs . 370 will be : | 0general |
village x has a population of 70000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ? | 0general |
a , b , c can do a piece of work in 11 days , 20 days and 55 days respectively , working alone . how soon can the work be done if a is assisted by b and c on alternate days ? | 1physics |
a group of men decided to do a work in 8 days , but 3 of them became absent . if the rest of the group did the work in 10 days , find the original number of men ? | 1physics |
x , y , and z are different prime numbers . the product x ^ 2 * y ^ 2 * z ^ 2 is divisible by how many different positive numbers ? | 0general |
a company has two types of machines , type r and type s . operating at a constant rate a machine of r does a certain job in 36 hours and a machine of type s does the job in 36 hours . if the company used the same number of each type of machine to do job in 12 hours , how many machine r were used ? | 2gain |
? x 24 = 173 x 240 | 0general |
in how many no . between 10 and 20 exactly two of the digits is 1 ? | 0general |
a man sells a car to his friend at 11 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was : | 2gain |
given that 268 x 74 = 19532 , find the value of 2.68 x . 74 . | 0general |
if a = { 1 , 3 , 5 } , b = { 3 , 5 , 6 } . find a ∪ b | 0general |
the l . c . m of two numbers is 48 . the numbers are in the ratio 1 : 3 . the sum of numbers is : | 5other |
after a storm deposits 115 billion gallons of water into the city reservoir , the reservoir is 80 % full . if the original contents of the reservoir totaled 245 billion gallons , the reservoir was approximately what percentage full before the storm ? | 0general |
the sum of the ages of 5 children born at the intervals of 2 years each is 50 years . what is the age of the youngest child ? | 0general |
an inspector rejects 0.08 % of the meters as defective , how many meters he examine to reject 2 meteres | 2gain |
jean drew a gumball at random from a jar of pink and blue gumballs . since the gumball she selected was blue and she wanted a pink one , she replaced it and drew another . the second gumball also happened to be blue and she replaced it as well . if the probability of her drawing the two blue gumballs was 36 / 49 , what is the probability that the next one she draws will be pink ? | 0general |
increasing the original price of a certain item by 30 percent and then increasing the new price by 30 percent is equivalent to increasing the original price by what percent ? | 2gain |
the area of a square garden is a square feet and the perimeter is p feet . if a = 2 p + 15 , what is the perimeter of the garden , in feet ? | 3geometry |
on the independence day , bananas were be equally distributed among the children in a school so that each child would get two bananas . on the particular day 370 children were absent and as a result each child got two extra bananas . find the actual number of children in the school ? | 0general |
if the perimeter of a rectangular garden is 900 m , its length when its breadth is 190 m is ? | 1physics |
two pipes can fill a tank in 20 minutes and 15 minutes . an outlet pipe can empty the tank in 10 minutes . if all the pipes are opened when the tank is empty , then how many minutes will it take to fill the tank ? | 1physics |
brenda and sally run in opposite direction on a circular track , starting at diametrically opposite points . they first meet after brenda has run 100 meters . they next meet after sally has run 200 meters past their first meeting point . each girl runs at a constant speed . what is the length of the track in meters ? | 1physics |
if ( 2 to the x ) - ( 2 to the ( x - 2 ) ) = 3 ( 2 to the 11 ) , what is the value of x ? | 0general |
the vertex of a rectangle are ( 1 , 0 ) , ( 9 , 0 ) , ( 1 , 2 ) and ( 9 , 2 ) respectively . if line l passes through the origin and divided the rectangle into two identical quadrilaterals , what is the slope of line l ? | 0general |
for each month of a given year except december , a worker earned the same monthly salary and donated one - tenth of that salary to charity . in december , the worker earned n times his usual monthly salary and donated one - third of his earnings to charity . if the worker ' s charitable contributions totaled one - eighth of his earnings for the entire year , what is the value of n ? | 0general |
what is the units digit of ( 5 ! * 4 ! + 6 ! * 5 ! ) / 3 ? | 0general |
two alloys a and b are composed of two basic elements . the ratios of the compositions of the two basic elements in the two alloys are 5 : 3 and 1 : 1 , respectively . a new alloy x is formed by mixing the two alloys a and b in the ratio 4 : 3 . what is the ratio of the composition of the two basic elements in alloy x ? | 5other |
if x is 11 percent greater than 70 , then x = | 0general |
if an examination 63 % of the candidates in english , 65 % passed in mathematics , and 27 % failed in both subjects . what is the pass percentage ? | 2gain |
a train running at the speed of 60 km / hr crosses a pole in 15 seconds . find the length of the train ? | 1physics |
if 1 / 2 of the air in a tank is removed with each stroke of a vacuum pump , what fraction of the original amount of air has been removed after 1 strokes ? | 1physics |
fred and sam are standing 40 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 4 miles per hour and sam walks at a constant speed of 4 miles per hour , how many miles has sam walked when they meet ? | 1physics |
the average of first seven multiples of 5 is : | 0general |
the length of a rectangular plot is 20 metres more than its breadth . if the cost of fencing the plot at the rate of 26.50 per metre is 5,300 , what is the length of the plot ( in metres ) ? | 2gain |
a , b and c are entered into a partnership . a invested rs . 6500 for 6 months , b invested rs . 8400 for 5 months and c invested for rs . 10000 for 3 months . a is a working partner and gets 5 % of the total profit for the same . find the share of c in a total profit of rs . 7400 ? | 2gain |
if 25 men do a work in 96 days , in how many days will 40 men do it ? | 1physics |
there are 8 pairs of socks and 2 socks are worn from that such that the pair of socks worn are not of the same pair . what is the number of pair that can be formed . | 4probability |
the expression ( 12.86 × 12.86 + 12.86 × p + 0.14 × 0.14 ) will be a perfect square for p equal to | 0general |
if the sample interest on a sum of money 20 % per annum for 2 years is $ 400 , find the compound interest on the same sum for the same period at the same rate ? | 2gain |
a pupil ' s marks were wrongly entered as 83 instead of 63 . due to that the average marks for the class got increased by half . the number of pupils in the class is | 0general |
a man travelled a distance of 80 km in 7 hours partly on foot at the rate of 8 km per hour and partly on bicycle at 16 km per hour . find the distance travelled on foot . | 1physics |
after decreasing 24 % in the price of an article costs rs . 820 . find the actual cost of an article ? | 2gain |
if x ^ 2 – x = 2 , then one possible value of x – 4 = | 0general |
a volunteer organization is recruiting new members . in the fall they manage to increase their number by 8 % . by the spring however membership falls by 19 % . what is the total change in percentage from fall to spring ? | 0general |
the side of a cube is 12 m , find the lateral surface area ? | 3geometry |
a train passes a platform in 25 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is | 1physics |
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