niryuu/sni-each-converted huggingface dataset:
Problem: a bookseller has two display windows . she plans to display 3 new fiction books in the left window , and 3 new non - fiction books in the right window . assuming she can put the 4 fiction books in any order , and separately , the 3 non - fiction books in any order , how many total configurations will there be for the two display windows ?
Output: 36
Problem: find a two digit number , given that the sum of the digits is 11 and the difference of the digits is 5 . ?
Output: 83
Problem: what is the remainder when 43 ^ 87 is divided by 5 ?
Output: 2
Problem: if julie rows 32 km upstream and 72 km down steam taking 4 hours each , then the speed of the stream
Output: 0.5 kmph
Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of odd all the integers between 10 and 100 ?
Output: 2475
Problem: two numbers are in the ratio of 7 : 6 . if 18 be subtracted from each , they are in the ratio of 6 : 5 . find the numbers ?
Output: 7,6
Problem: sally has a gold credit card with a certain spending limit , and a platinum card with twice the spending limit of the gold card . currently , she has a balance on her gold card that is 1 / 3 of the spending limit on that card , and she has a balance on her platinum card that is 1 / 7 of the spending limit on that card . if sally transfers the entire balance on her gold card to her platinum card , what portion of her limit on the platinum card will remain unspent ?
Output: 29 / 42
Problem: of all the homes on gotham street , 1 / 3 are termite - ridden , and 4 / 7 of these are collapsing . what fraction of the homes are termite - ridden , but not collapsing ?
Output: 1 /
Problem: if the average ( arithmetic mean ) of x + 2 , x + 3 , and x + 4 is 0 , then x =
Output: – 3
Problem: 2 + 2 + 2 ² + 2 ³ . . . + 2 ^ 6
Output: 2 ^
Problem: 54671 - 14456 - 31466 = ?
Output: 8749
Problem: what is the minimum value of | x - 4 | + | x + 5 | + | x - 5 | ?
Output: 1
Problem: sravan travelled for 15 hours . he covered the first half of the distance at 45 kmph and remaining half of the distance at 30 kmph . find the distance travelled by sravan ?
Output: 540
Problem: 50 litres of diesel is required to travel 600 km using a 800 cc engine . if the volume of diesel required to cover a distance varies directly as the capacity of the engine , then how many litres of diesel is required to travel 800 km using 1200 cc engine ?
Output: 100 litres
Problem: a manufacturer produces a certain men ' s athletic shoe in integer sizes from 8 to 17 . for this particular shoe , each unit increase in size corresponds to a 1 / 4 - inch increase in the length of the shoe . if the largest size of this shoe is 10 % longer than the smallest size , how long , in inches , is the shoe in size 15 ?
Output: 24.25
Problem: a student travels from his house to school at 10 km / hr and reaches school 2 hours late . the next day he travels 18 km / hr and reaches school 1 hour early . what is the distance between his house and the school ?
Output: 67.5
Problem: excluding stoppages , the average speed of a bus is 75 km / hr and including stoppages , the average speed of the bus is 40 km / hr . for how many minutes does the bus stop per hour ?
Output: 28 mi
Problem: find the area of a parallelogram with base 26 cm and height 16 cm ?
Output: 416 cm 2
Problem: by selling an article at rs . 600 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ?
Output: s . 360
Problem: a man invests some money partly in 15 % stock at 105 and partly in 8 % stock at 40 . to obtain equal dividends from both , he must invest the money in the ratio :
Output: 7 : 5
Problem: the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 600 per sq . metre .
Output: rs . 12375
Problem: a and b started a business in partnership investing rs . 20,000 and rs . 15,000 respectively . after 6 months , c joined them with rs . 20,000 . whatwill be b ' s share in total profit of rs . 15,000 earned at the end of 2 years from the startingof the business ?
Output: s . 4,500
Problem: if @ is a binary operation defined as the difference between an integer n and the product of n and 5 , then what is the largest positive integer n such that the outcome of the binary operation of n is less than 14 ?
Output: 3
Problem: if x ^ 2 – 4 x = 5 , then one possible value of x – 2 =
Output: - 3
Problem: if 9 workers can build 9 cars in 9 days , then how many days would it take 7 workers to build 7 cars ?
Output: 9
Problem: the probability of two events a and b are 0.25 and 0.40 respectively . the probability that both a and b occur is 0.20 . the probability that neither a nor b occur is _________
Output: 0.55
Problem: a bakery has 6 employees . it pays annual salaries of $ 19,000 to each of 2 employees , $ 21,000 to 1 employee , and $ 22,000 to each of the remaining 3 employees . which number is closest to the average ( arithmetic mean ) annual salary of these employees ?
Output: $ 20,800
Problem: the length of a rectangular floor is more than its breadth by 200 % . if rs . 300 is required to paint the floor at the rate of rs . 5 per sq m , then what would be the length of the floor ?
Output: 13.42
Problem: the s . i . on a certain sum of money for 5 years at 10 % per annum is half the c . i . on rs . 5000 for 2 years at 12 % per annum . the sum placed on s . i . is ?
Output: 127
Problem: the sum of all two digit numbers divisible by 8 is
Output: 616
Problem: dropbox charges $ 3.10 for first 1 / 5 of a month for 500 gb storage , plus $ 0.40 for each additional 1 / 5 of a month . what would dropbox charge for a data storage of 500 gb for 8 months ?
Output: $ 18.70
Problem: find the simple interest on rs . 72,000 at 16 2 / 3 % per year for 9 months .
Output: 9000
Problem: if it would take one machine 20 minutes to fill a large production order and another machine 30 minutes to fill the same order , how many minutes would it take both machines working together , at their respective rates , to fill the order ?
Output: 12 min
Problem: how many digits are required to number a book containing 220 pages ?
Output: 552
Problem: a case of 12 rolls of paper towels sells for $ 9 . the cost of one roll sold individually is $ 1 . what is the percent w of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually ?
Output: 25 %
Problem: the ratio between the number of sheep and the number of horses at the stewart farm is 5 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ?
Output: 40
Problem: a rectangular box of volume v has width , depth and height in the ratio of 2 : 1 : 3 ( in that order ) . what is the height as a function of v ?
Output: ( 9 v / 2 ) ^ ( 1 / 3 )', 'd ) ( 4 v / 3 ) ^ ( 1 / 3 )', 'e ) ( 4 v / 2 ) ^ ( 1 / 3 )'
Problem: calculate the amount that an investor needs to be invest to earn $ 1005 in interest in 12 months if the investor plans to invest x dollars in a savings account that pays interest at an annual rate of 11 % compounded semi - annually ?
Output: 8900
Problem: a reduction of 42 % in the price of bananas would enable a man to obtain 64 more for rs . 40 , what is reduced price per dozen ?
Output: 3.15
Problem: a train crosses a bridge of length 1500 m in 70 seconds and a lamp post on the bridge in 20 seconds . what is the length of the train in metres ?
Output: 600 m
Problem: what will be the cost of building a fence around a square plot with area equal to 289 square feet , if the price per foot of building the fence is rs . 58 ?
Output: 3944
Problem: for a race a distance of 224 meters can be covered by p in 28 seconds and q in 56 seconds . by what distance does p defeat q eventually ?
Output: 224 m
Problem: points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction d of the area of triangle abc is the area of triangle xyz ?
Output: 1 / 9
Problem: the dimensions of a field are 20 m by 10 m . a pit 8 m long , 5 m wide and 2 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ?
Output: 0.5 m', 'd ) 0.75 m', 'e ) 1.5 m'
Problem: the grade point average of the entire class is 90 . if the average of one third of the class is 96 , what is the average of the rest ?
Output: 87
Problem: last year department store x had a sales total for december that was 6 times the average ( arithmetic mean ) of the monthly sales totals for january through november . the sales total for december was what fraction of the sales total for the year ?
Output: 6 / 17
Problem: points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction c of the area of triangle abc is the area of triangle xyz ?
Output: 1 / 9', 'b ) 1 / 8', 'c ) 1 / 6', 'd ) 1 / 5', 'e ) 1 / 3'
Problem: if x is the median of the set { 9 / 2 , 11 / 3 , x , 28 / 9 , 21 / 5 } , x could be
Problem: a can do a piece of work in 4 days . b can do it in 7 days . with the assistance of c they completed the work in 2 days . find in how many days can c alone do it ?
Output: 28 / 3 days
Problem: how many integers from 101 to 200 , inclusive , are divisible by 3 but not divisible by 7 ?
Output: 28
Problem: buses a and b start from a common bus stop x . bus a begins to travel in a straight line away from bus b at a constant rate of 30 miles per hour . one hour later , bus b begins to travel in a straight line in the exact opposite direction at a constant rate of 50 miles per hour . if both buses travel indefinitely , what is the positive difference , in minutes , between the amount of time it takes bus b to cover the exact distance that bus a has covered and the amount of time it takes bus b to cover twice the distance that bus a has covered ?
Output: 84
Problem: what is the remainder when 7 ^ 74 - 10 ^ 74 is divided by 24 ?
Output: 0
Problem: what least no . must be subtracted from 101054 so that remaining no . is divisible by 10 ?
Output: 4
Problem: at what rate percent on simple interest will rs . 750 amount to rs . 900 in 8 years ?
Output: 2.5 %
Problem: machine – x produces 50 % of the total output and machine - y produces 75 % of the total output . an average of 9 units out of a 1000 goods manufactured by machine - x and two unit of 500 units produced by machine - x prove to be defective . what is the probability that a unit chosen at random from the total daily output of the factory is defective ?
Output: 0.006
Problem: what is the units digit of ( 5 ! * 4 ! + 6 ! * 5 ! ) / 2 ?
Output: 0
Problem: find the cost of fencing around a circular field of diameter 22 m at the rate of rs . 2.50 a meter ?
Output: 172
Problem: two cycles are standing side - by - side . one cycle , which is 2.5 feets tall , casts a shadow that is 5 feets long . the other cycle is 2 feets tall . compute , in feets , the length of the shadow that the shorter cycle casts .
Output: 4
Problem: stacy has a 12 page history paper due in 12 days . how many pages per day would she have to write to finish on time ?
Output: 1
Problem: a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 10 % while buying and by 20 % while selling . what is his percentage profit ?
Output: 10 %
Problem: on a two - dimensional coordinate plane , the line a = x ^ 2 - x ^ 3 touches the x - axis in how many places ?
Output: 2
Problem: if the wages of 6 men for 15 days be rs . 2100 , then find the wages of for 12 days .
Output: rs . 2520
Problem: a technician makes a round - trip to and from a certain service center by the same route . if the technician completes the drive to the center and then completes 40 percent of the drive from the center , what percent of the round - trip has the technician completed ?
Output: 70 %
Problem: what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 11 nor by 35 ?
Output: 884
Problem: convert the 15 / 36 m / s into kilometers per hour ?
Output: 1.5
Problem: 3 positive integers a , b , and c are such that their average is 20 and a ≤ b ≤ c . if the median is ( a + 13 ) , what is the least possible value of c ?
Output: 2
Problem: if a certain coin is flipped , the probability that the coin will land heads is 1 / 2 . if the coin is flipped 6 times , what is the probability that it will land heads up on the first 4 flips but not on the last 2 flips ?
Output: 1 / 64
Problem: if n is a positive integer , what is the remainder when ( 6 ^ ( 4 n + 3 ) ) ( 6 ^ n ) is divided by 10 ?
Output: 7
Problem: what number is 60 more than two - fourth of itself ?
Output: 180
Problem: a man goes downstream at 10 kmph , and upstream 8 kmph . the speed of the stream is
Output: 1 kmph
Problem: if shares of two persons in profits are rs . 600 and rs . 1000 then ratio of their capitals is
Output: 3 : 5
Problem: if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 1 .
Output: 2
Problem: if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 22 , then n =
Output: 2
Problem: a is the average ( arithmetic mean ) of the first 7 positive multiples of 5 and b is the median of the first 3 positive multiples of positive integer n . if the value of a ^ 2 – b ^ 2 is zero , what is the value of n ?
Output: 10
Problem: length of a rectangular plot is 10 mtr more than its breadth . if the cost of fencin g the plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?
Output: 55 m
Problem: 2 men and 4 women are lined up in a row . what is the number of cases where they stand with each other in turn ? ( the number of cases in which men ( or women ) do not stand next to each other )
Output: 4
Problem: the sale price sarees listed for rs . 375 after successive discount is 20 % and 15 % is ?
Output: 28
Problem: each day a man meets his wife at the train station after work , and then she drives him home . she always arrives exactly on time to pick him up . one day he catches an earlier train and arrives at the station an hour early . he immediately begins walking home along the same route the wife drives . eventually his wife sees him on her way to the station and drives him the rest of the way home . when they arrive home the man notices that they arrived 40 minutes earlier than usual . how much time did the man spend walking ?
Output: 40 minutes
Problem: students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 184 cms . what was the ratio a of men to women ?
Output: 5 : 2
Problem: if ( 8000 ) ( 6000 ) = ( 480 ) ( 10 ^ y ) , what is the value of y ?
Output: 5
Problem: if ( 5 + k ) ( 5 - k ) = ( 5 ^ 2 ) - ( 2 ^ 3 ) , then what is the value of k ?
Output: 2
Problem: a train consists of 48 boxcars pulled by 2 engines . the boxcars are 15 meters long and the two engines are each 20 meters long . it crosses over a highway 24 meters wide at a speed of 14 m / s . how long does it take for the entire train to cross ?
Output: 56 sec
Problem: the average age of 40 students in a class is 10 years . if teacher ' s age is also included then average increases 1 year then find the teacher ' s age ?
Output: 51
Problem: a store reported total sales of $ 416 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 in sales ?
Output: 30 %
Problem: the ratio of the radius of two circles is 2 : 5 , and then the ratio of their areas is ?
Output: 4 : 25
Problem: a , b and c start a business each investing 20,000 . after 5 months a withdrew 5000 , b withdrew 4000 and c invests 6000 more . at the end of the year , a total profit of 69,900 was recorded . find the share of b .
Output: 28,200
Problem: of the families in city x in 2000 , 30 percent owned a personal computer . the number of families in city x owning a computer in 2004 was 20 percent greater than it was in 1994 , and the total number of families in city x was 10 percent greater in 2004 than it was in 2000 . what percent of the families in city x owned a personal computer in 1998 ?
Output: 32.72
Problem: raman mixed 48 kg of butter at rs . 150 per kg with 36 kg butter at the rate of rs . 125 per kg . at what price per kg should he sell the mixture to make a profit of 40 % in the transaction ?
Output: 195
Problem: how many odd factors does 460 have ?
Output: 4
Problem: how many integers between 50 and 100 can be evenly divided by neither 3 nor 5 ?
Output: 26
Problem: a certain high school has 500 students . of these students , 30 are taking music , 10 are taking art , and 10 are taking both music and art . how many students are taking neither music nor art ?
Output: 47
Problem: in what time will a train 100 metres long cross an electric pole , if its speed be 144 km / hr ?
Output: 2.5 sec
Problem: in a garden , there are 10 rows and 13 columns of mango trees . the distance between the two trees is 2 metres and a distance of one metre is left from all sides of the boundary of the garden . the length of the garden is
Output: 26 m
Problem: how many 3 - digit even numbers are possible such that if one of the digits is 3 , the next / succeeding digit to it should be 7 ?
Problem: a certain company reported that the revenue on sales increased 40 % from 2000 to 2003 , and increased 70 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ?
Output: 21
Problem: a start walking from a place at a uniform speed of 4 kmph in a particular direction . after half an hour , b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes . find the speed of b .
Output: 4.6 kmph
Problem: due to construction , the speed limit along an 9 - mile section of highway is reduced from 55 miles per hour to 40 miles per hour . approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ?
Output: b ) 3.69
Problem: how many figures are required to number the pages the pages of a book containing 2200 pages ?
Output: 7693
Problem: there are two cars . one is 100 miles north of the other . simultaneously , the car to the north is driven westward at 10 miles per hour and the other car is driven eastward at 15 miles per hour . how many miles apart are the cars after 3 hours ?
Output: 125
Problem: what decimal fraction is 90 ml of a litre ?
Output: . 09
Problem: what is the smallest integer k for which 64 ^ k > 4 ^ 20 ?
Output: 7
Problem: a cyclist traveled for two days . on the second day the cyclist traveled 4 hours longer and at an average speed 10 mile per hour slower than she traveled on the first day . if during the two days she traveled a total of 210 miles and spent a total of 12 hours traveling , what was her average speed on the second day ?
Output: 30 mph
Problem: a cistern 8 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 :
Output: 62 m 2
Problem: if 2994 ã · 14.5 = 179 , then 29.94 ã · 1.45 = ?
Output: 17.
Problem: ( √ 27 + √ 243 ) / √ 75 = ?
Output: 12 /
Problem: a set s = { x , - 8 , - 7 , - 6 , 6 , 8 , 9 , y } with elements arranged in increasing order . if the median and the mean of the set are the same , what is the value of | x | - | y | ?
Output: 2
Problem: two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 10 hours and 8 hours respectively . the ratio of their speeds is
Output: 4 :
Problem: in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 8 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?
Output: 31
Problem: what is the sum of the digits of integer k , if k = ( 10 ^ 45 - 46 )
Output: 396
Problem: if 5 a = 3125 , then the value of 5 ( a - 3 ) is :
Output: 25
Problem: in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 60 questions and secures 130 marks , the no of questions he attempts correctly is :
Output: 38
Problem: there are 27 different 3 - digit integers that can be formed using only the digits 3 , 4 and 5 . if all 27 of the integers were listed , what would their sum be ?
Output: 11,988
Problem: if f ( x ) = 12 - x ^ 2 / 2 and f ( 2 k ) = 4 k , what is one possible value for k ?
Output: 4
Problem: what is the units digit of 2222 ^ ( 555 ) * 3333 ^ ( 222 ) ?
Output: 2
Problem: a is half good a work man as b and together they finish a job in 20 days . in how many days working alone b finish the job ?
Output: 30 days
Problem: what is the value of n if the sum of the consecutive odd intergers y from 1 to n equals 169 ?
Output: 25
Problem: if log 4 x + log 4 ( 1 / 6 ) = 1 / 2 then the value of x is ?
Output: 12
Problem: what quantity of water should taken out to concentrate 27 liters of 40 % acidic liquid to 60 % acidic liquid ?
Output: 9 liters
Problem: marts income is 30 percent more than tims income and tims income is 40 percent less than juans income . what percentage of juans income is marts income
Output: c ) 78 %
Problem: there is a 5 - digit number . the fifth digit is one fourth of the third digit and one half of the fourth digit . third digit is one half of the first digit . second digit is 5 more than the fifth digit . what is that 5 - digit number ?
Output: 86421
Problem: what is the tens digit of 6 ^ 10 ?
Output: 7
Problem: a certain sum is invested at simple interest at 18 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 840 . find the sum ?
Output: 7000
Problem: for any number z , z * is defined as the greatest positive even integer less than or equal to y . what is the value of 6.15 – 6.15 * ?
Output: 0.15
Problem: when positive integer x is divided by positive integer y , the remainder is 9 . if x / y = 96.15 , what is the value of y ?
Output: 60
Problem: the cost of the paint is rs . 40.00 per kg . if 1 kg of paint covers 20 sq . ft , how much will it cost to paint outside of a cube having 10 feet each side
Output: rs . 1200
Problem: what is the perimeter of a rectangular field whose diagonal is 10 m and length is 3 m ?
Output: 8 m', 'e ) 6 m'
Problem: cereal a is 10 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 3 % sugar , what should be the ratio of cereal a to cereal b , by weight ?
Output: 1 : 7
Problem: a man can row at 5 kmph in still water . if the velocity of current is 3 kmph and it takes him 1 hour to row to a place and come back , how far is the place ?
Output: 1.6 k
Problem: a 120.00001 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 ?
Output: 380 meter
Problem: the ratio between the length and the breadth of a rectangular plot is 7 : 5 . if the perimeter of the plot is 288 metres , what is its area ?
Output: 5040 sq . metres', 'e ) none of these'
Problem: during the first two weeks of january , the total rainfall in springdale was 20 inches . if the rainfall during the second week was 1.5 times the rainfall during the first week , what was the rainfall during the second week of january ?
Output: 12 inche
Problem: the set s consists of 5 numbers : { 1 , 2,3 , 4,5 } . if all possible subsets including the null set are created and one subset is chosen at random , what is the probability that the subset has 3 or 4 as its largest number ?
Output: 3 / 8
Problem: an exam consists of 8 true / false questions . brian forgets to study , so he must guess blindly on each question . if any score above 80 % is a passing grade , what is the probability that brian passes ?
Output: 125 / 25
Problem: in a certain animal population , for each of the first 3 months of life , the probability that an animal will die during that month is 1 / 4 . for a group of 200 newborn members of the population , approximately how many would be expected to survive the first 3 months of life ?
Output: 8
Problem: how many 4 digit numbers are there , if it is known that the first digit is even , the second is odd , the third is prime , the fourth ( units digit ) is divisible by 4 , and the digit 2 can be used only once ?
Output: 225
Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 390 kilograms of pears that day , how many kilograms did he sell in the afternoon ?
Output: 260
Problem: if a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20 , what is the probability q that this product will be a multiple of 45 ?
Output: 1 / 24
Problem: a certain high school has 500 students . of these students , 20 are taking music , 20 are taking art , and 10 are taking both music and art . how many students are taking neither music nor art ?
Output: 47
Problem: a courier charges for packages to a certain destination are 65 cents for the first 250 grams and 10 cents for each additional 100 grams or part thereof . what could be the weight in grams of a package for which the charge is $ 2.15 ?
Output: 167
Problem: if rs . 7500 are borrowed at c . i at the rate of 4 % per annum , then after 1 year the amount to be paid is ?
Output: 7800
Problem: a shopkeeper buys mangoes at the rate of 7 a rupee and sells them at 5 a rupee . find his net profit or loss percent ?
Output: 40 %
Problem: the difference between a number and its two - fifth is 510 . what is 12 % of that number ?
Output: 102
Problem: a car gets 24 miles to the gallon . if it is modified to use a solar panel , it will use only 75 percent as much fuel as it does now . if the fuel tank holds 12 gallons , how many more miles will the car be able to travel , per full tank of fuel , after it has been modified ?
Output: 96
Problem: the h . c . f . of two numbers is 15 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is :
Output: 225
Problem: in a dance competition the points in each round for the first , second , third and fourth position were 10050 , 2010 . no other points were given . ashita participated in several rounds in the competition and the product of her score was 50000 . in how many rounds did she participate ?
Output: can not be determine
Problem: a metallic sheet is of rectangular shape with dimensions 46 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 8 m , the volume of the box ( in m 3 ) is :
Output: 4800
Problem: in an election between two candidates , one got 60 % of the total valid votes , 30 % of the votes were invalid . if the total number of votes was 9000 , the number of valid votes that the other candidate got , was :
Output: 2520
Problem: on a certain road , 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 20 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on that road exceed the posted speed limit ?
Output: 12.5 %
Problem: x and y are two towns . ganesh covers the distance from x to y at an average speed of 60 km / hr . however , he covers the distance from y to x at an average speed of 30 km / hr . his average speed during the whole journey in km / hr . is :
Output: 40
Problem: a drink vendor has 20 liters of maaza , 144 liters of pepsi and 368 liters of sprite . he wants to pack them in cans , so that each can contains the same number of liters of a drink , and does n ' t want to mix any two drinks in a can . what is the least number of cans required ?
Output: 13
Problem: jonathan can type a 40 page document in 40 minutes , susan can type it in 30 minutes , and jack can type it in 24 minutes . working together , how much time will it take them to type the same document ?
Output: 10 minutes
Problem: find the least number must be subtracted from 62575 so that remaining number is divisible by 99 .
Output: 7
Problem: a man is 12 years older than his brother . in two years , his age will be twice the age of his brother . the present age of his brother is :
Output: 10
Problem: a certain mixture of nuts consists of 5 parts almonds to 2 parts walnuts , by weight . what is the number of pounds of almonds in 280 pounds of the mixture ?
Output: 200
Problem: how many 4 - digit numbers that do not contain the digits 2 , 3 , 4 , 5 , 6 , or 7 are there ?
Output: 192
Problem: how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8 m x 6 m x 22.5 cm ?
Output: 6400
Problem: the average weight of 6 person ' s increases by 1.8 kg when a new person comes in place of one of them weighing 69 kg . what might be the weight of the new person ?
Output: 79.8 kg
Problem: a man took a loan at rate of 12 % per annum simple interest . after 3 years he had to pay 7200 interest . the principal amount borrowed by him was .
Output: rs 20000
Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70 . in what year could a female employee hired in 1986 on her 30 nd birthday first be eligible to retire under this provision ?
Output: 2006
Problem: i had rs . 10000 with me . out of this , money i lent some money to a for 2 years at 15 % simple interest . i lent the remaining money to b for an equal number of years at 18 % simple interest . after 2 years , i found that a had given me rs . 360 more as interest as compared to ( b ) the amount of money which i had lent to b must have been
Output: 4000
Problem: what percent is 320 gm of 1 kg ?
Output: 32
Problem: to be considered for “ movie of the year , ” a film must appear in at least 1 / 4 of the top - 10 - movies lists submitted by the cinematic academy ’ s 785 members . what is the smallest number of top - 10 lists a film can appear on and still be considered for “ movie of the year ” ?
Output: 197
Problem: the number 0.5 is how much greater than 1 / 3 ?
Output: 1 / 6
Problem: the concentration of spirit in 3 different vessels a , b and c are 45 % , 30 % and 10 % respectively . if 4 litres from vessel a , 5 litres from vessel b and 6 litres from vessel c are mixed , find the concentration of spirit in the resultant solution .
Output: 26 %
Problem: there are 2 sections a and b in a class , consisting of 50 and 70 students respectively . if the average weight of section a is 50 kg and that of section b is 70 kg , find the average of the whole class ?
Output: 61.67 kg
Problem: a number is increased by 20 % and then decreased by 20 % . find the net increase or decrease per cent .
Output: 4
Problem: if x ^ 2 – 3 x = 18 , then one possible value of x – 4 =
Problem: if 4 x + y = 8 and 3 x - 4 y = 5 , then what is the value of 7 x - 3 y ?
Output: 23
Problem: find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 11 cm .
Output: 209 cm 2
Problem: working alone , a can complete a certain kind of job in 3 hours . a and d , working together at their respective rates , can complete one of these jobs in 2 hours . in how many hours can d , working alone , complete one of these jobs ?
Output: 6
Problem: a class of boys stands in a single line , one boy is 19 th in order from both the ends , how many boys are there in the class ?
Output: 37
Problem: what number must be added to 6 , 16 and 8 to get an average of 13 ?
Output: 22
Problem: the average age of 30 students in a class is 15 years . if the age of teacher is also included , the average becomes 16 years , find the age of the teacher .
Output: 46
Problem: if x = the product of 7 distinct prime numbers , how many factors does x have besides 1 and itself ?
Output: 126
Problem: how many integers n are prime numbers in the range 200 < n < 220 ?
Output: 1
Problem: a sum of $ 800 amounts to $ 920 in 3 years at simple interest . if the interest rate is increased by 3 % it would amount to how much ?
Output: $ 992
Problem: a copy machine , working at a constant rate , makes 35 copies per minute . a second copy machine , working at a constant rate , makes 65 copies per minute . working together at their respective rates , how many copies do the two machines make in half an hour ?
Output: 3,000
Problem: what will be the compound interest on a sum of rs . 28,000 after 3 years at the rate of 12 % p . a . ?
Output: s . 11337.9
Problem: what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 5 ?
Output: 10
Problem: 10 % people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 4554 , how much was it in the beginning ?
Output: 6325
Problem: cost is expressed by the formula tb ^ 4 . if b is doubled , the new cost w is what percent of the original cost ?
Output: w = 1600
Problem: if a car went the first third of the distance at 80 kmh , the second third at 30 kmh , and the last third at 48 kmh , what was the average speed of the car for the entire trip ?
Output: 45 kmh
Problem: a cement mixture is composed of 3 elements . by weight , 1 / 2 of the mixture is sand , 1 / 5 of the mixture is water , and the remaining 15 pounds of the mixture is gravel . what is the weight of the entire mixture in pounds ?
Output: 50
Problem: the compound ratio of 2 / 3 , 6 / 7 , 4 / 3 and 1 / 8 is given by ?
Output: 2 / 21
Problem: the center of a circle lies on the origin of the coordinate plane . if a point ( x , y ) is randomly selected inside of the circle , what is the probability that y > x or x > 0 ?
Output: 7 / 8
Problem: reema took a loan of rs 900 with simple interest for as many years as the rate of interest . if she paid rs . 729 as interest at the end of the loan period , what was the rate of interest .
Output: 9
Problem: of the 20 members of a kitchen crew , 17 can use the meat - cutting machine , 18 can use the bread - slicing machine , and 15 can use both machines . if one member is chosen at random , what is the probability that the member chosen will be someone who can not use either machine ?
Output: 0
Problem: the average of first 9 natural numbers is ?
Output: 4.5
Problem: buses a and b start from a common bus stop x . bus a begins to travel in a straight line away from bus b at a constant rate of 20 miles per hour . one hour later , bus b begins to travel in a straight line in the exact opposite direction at a constant rate of 80 miles per hour . if both buses travel indefinitely , what is the positive difference , in minutes , between the amount of time it takes bus b to cover the exact distance that bus a has covered and the amount of time it takes bus b to cover twice the distance that bus a has covered ?
Output: 132
Problem: a student committee on academic integrity has 132 ways to select a president and vice president from a group of candidates . the same person can not be both president and vice president . how many candidates are there ?
Output: 1
Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ?
Output: 16 : 9
Problem: if an investor puts $ 800 in a savings account that earns 10 percent annual interest compounded semiannually , how much money will be in the account after one year ?
Output: $ 882
Problem: in an election between two candidates , one got 55 % of the total valid votes . 20 % of the votes were invalid . if the total number of votes was 7500 , what was the number of valid votes that the other candidate got ?
Output: 2700
Problem: the average of first five multiples of 6 is ?
Output: 18
Problem: indu gave bindu rs . 625 on compound interest for 2 years at 4 % per annum . how much loss would indu has suffered had she given it to bindu for 2 years at 4 % per annum simple interest ?
Output: 1
Problem: a bag contains 3 red , 5 yellow and 4 green balls . 3 balls are drawn randomly . what is the probability that the balls drawn contain balls of different colours ?
Output: 3 / 11
Problem: the market value of a certain machine decreased by 10 percent of its purchase price each year . if the machine was purchased in 1982 for its market value of $ 8000 , what was its market value two years later ?
Output: $ 6,400
Problem: two numbers are less than third number by 60 % and 74 % respectively . how much percent is the second number less than by the first ?
Output: 35 %
Problem: a 1400 m long train crosses a tree in 100 sec , how much time will it take to pass a platform 700 m long ?
Output: 150
Problem: the product of two positive integers is 675 and their difference is 2 . what is the bigger number ?
Output: 27
Problem: during the last 4 years , a large truck company purchased diesel at rates of $ 1.2 , $ 1.3 , $ 1.8 and $ 2.1 per gallon . what was the mean cost of diesel over the 4 - year period if the company spends the same amount of dollars on diesel each year ?
Output: $ 1.52
Problem: after spending rs . 5000 on rent , rs . 1500 on milk , rs . 4500 on groceries , rs . 2500 on childrens education rs . 2000 on petrol and rs . 5200 on miscellaneous expenses , mr . kishore saved 10 % of his monthly salary . how much did he save in rs . ?
Output: 2300
Problem: shekar scored 76 , 65 , 82 , 47 and 85 marks in mathematics , science , social studies , english and biology respectively . what are his average marks ?
Output: 71
Problem: at an elementary school , 70 % of the faculty members are women and 60 % of the faculty members are married . if 2 ⁄ 3 of the men are single , what fraction of the women are married ?
Output: 5 ⁄ 7
Problem: how many multiples of 4 are there between 12 and 104 , inclusive ?
Output: 24
Problem: a high school has 400 students 1 / 2 attend the airthmetic club , 5 / 8 attend the physics club and 3 / 4 attend the chemistry club . 3 / 8 attend all 3 clubs . if every student attends at least one club how many students attend exactly 2 clubs .
Output: 50
Problem: how many kg of rice at rs . 6.60 per kg . be mixed with 56 kg of rice at rs . 9.60 per kg to get a mixture worth rs . 8.20 per kg
Output: 49 kg
Problem: a box measuring 36 inches long by 45 inches wide by 18 inches deep is to be filled entirely with identical cubes . no space is to be left unfilled . what is the smallest number of cubes that can accomplish this objective ?
Output: 40
Problem: the dimensions of a rectangular solid are 4 inches , 5 inches , and 12 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ?
Output: 10 : 2
Problem: tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 8 meters , and the interior of tank b has a height of 8 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?
Output: 80
Problem: a person ' s present age is two - fifth of the age of his mother . after 8 years , he will be one - half of the age of his mother . how old is the mother at present
Output: 40
Problem: in town x , 64 percent of the population are employed , and 47 percent of the population are employed males . what percent of the employed people in town x are females ?
Output: 24 %
Problem: when positive integer n is divided by positive integer j , the remainder is 18 . if n / j = 134.03 , what is value of j ?
Output: 60
Problem: the present population of a town is 3744 . population increase rate is 20 % p . a . find the population of town before 2 years ?
Output: 2600
Problem: at joes steakhouse the hourly wage for a chef is 20 % 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 $ 6.50 per hour , how much less than a manager does a chef earn each hour ?
Output: $ 2.6
Problem: the cost of paint is 60 per kilograme . a kilogram paint covers 20 square feet . how much will it cost to paint the outside of a cube having each side 10 feet ?
Output: 1800', 'd ) 360', 'e ) none of these'
Problem: a man whose speed is 4.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 0.5 kmph , find his average speed for the total journey ?
Output: 3.1
Problem: the original price of a suit is $ 160 . the price increased 25 % , and after this increase , the store published a 25 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 25 % off the increased price , how much did these consumers pay for the suit ?
Output: $ 150
Problem: the least perfect square , which is divisible by each of 21 , 36 and 66 is
Output: 213444
Problem: a merchant sells an item at a 20 % discount , but still makes a gross profit of 40 percent of the cost . what percent of the cost would the gross profit on the item have been if it had been sold without the discount ?
Output: 75
Problem: in a throw of dice what is the probability of getting number greater than 5
Output: 1 / 6
Problem: in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces 4 % . what is population of after 2 year .
Output: 14
Problem: if | x + 132 | = 32 what is the sum of all the values of x .
Output: - 264
Problem: of 60 children , 30 are happy , 10 are sad , and 20 are neither happy nor sad . there are 19 boys and 41 girls . if there are 6 happy boys and 4 sad girls , how many boys are neither happy nor sad ?
Output: 7
Problem: a store sells chairs and tables . if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables , and the price of 1 table and 1 chair is $ 64 , what is the price , in dollars , of 1 table ? ( assume that every chair has the same price and every table has the same price . )
Output: 5
Problem: if the radius of a circle that centers at the origin is 5 , how many points q on the circle have integer coordinates ?
Output: 12
Problem: the ratio of the radius of two circles is 1 : 5 , and then the ratio of their areas is ?
Output: 1 : 25
Problem: the average of 11 numbers is 60 . out of 11 numbers the average of first 6 no . is 98 , and last 6 numbers is 65 then find 6 th number ?
Output: a ) 318
Problem: a man bought 40 shares of rs . 60 at 8 discount , the rate of dividend being 1212 % the rate of interest obtained is
Output: 14.42 %
Problem: the area of a triangle is 615 m 2 . if one of its sides is 123 metre , find the length of the perpendicular dropped on that side from opposite vertex .
Output: 10 metres', 'd ) 9 metres', 'e ) none of these'
Problem: in an election between the two candidates , the candidates who gets 60 % of votes polled is wined by 280 votes majority . what is the total number of votes polled ?
Output: 1400
Problem: solve the equation for x : 6 x - 47 + 3 x = 4 + 9 - x
Problem: what is the remainder if 7 ^ 12 is divided by 100 ?
Output: 1
Problem: calculate the average of all the numbers between 10 and 86 which are divisible by 9 .
Output: 49.5
Problem: what is the length of a bridge ( in meters ) , which a train 156 meters long and travelling at 45 km / h can cross in 30 seconds ?
Output: 219
Problem: zachary is helping his younger brother , sterling , learn his multiplication tables . for every question that sterling answers correctly , zachary gives him 3 pieces of candy . for every question that sterling answers incorrectly , zachary takes away two pieces of candy . after 6 questions , if sterling had answered 2 more questions correctly , he would have earned 31 pieces of candy . how many of the 6 questions did zachary answer correctly ?
Output: 7
Problem: the average of first 17 even numbers is ?
Output: 18
Problem: the average of all odd numbers up to 200 is
Output: 100
Problem: a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 11 multiples of 14 , how many multiples of 7 are there in q ?
Output: 21
Problem: the ratio between the presents of the a and b is 2 : 3 . if b is 5 years older than a , what will be the ratio of the ages of a and b after 5 years ?
Output: 3 : 4
Problem: a man gains 40 % by selling an article for a certain price . if he sells it at double the price , the percentage of profit will be .
Output: 180 %
Problem: if x * y = xy – 2 ( x + y ) for all integers x and y , then 1 * ( – 3 ) =
Problem: on increasing the price of t . v . sets by 40 % , their sale decreases by 20 % . what is the effect on the revenue receipts of the shop ?
Output: 12
Problem: 0.002 x 0.5 = ?
Output: 0.001
Problem: a 10 % stock yields 8 % . the market value of the stock is :
Output: rs . 125
Problem: a certain sum is invested at simple interest at 18 % p . a . for two years instead of investing at 12 % p . a . for the same time period . therefore the interest received is more by rs . 300 . find the sum ?
Output: 2500
Problem: at a monthly meeting , 3 / 5 of the attendees were males and 7 / 8 of the male attendees arrived on time . if 4 / 5 of the female attendees arrived on time , what fraction of the attendees at the monthly meeting did not arrive on time ?
Output: 31 / 200
Problem: how many quarters are equal to 4 dollars ?
Output: 16
Problem: 1391 x 1391 = ?
Output: e ) 193488
Problem: danny and steve are running towards each other , each one from his own house . danny can reach steve ' s house in 33 minutes of running , which is half the time it takes steve to reach danny ' s house . if the two started to run at the same time , how much time longer will it take steve to reach the halfway point between their houses than danny to reach the halfway point between their houses ?
Output: 16.5 minutes
Problem: the compound interest on $ 30,000 at 7 % p . a is $ . 4347 . find out the period ( in years ) ?
Output: 2
Problem: a fair 2 sided coin is flipped 4 times . what is the probability that tails will be the result at least twice , but not more than 4 times ?
Output: 5 / 8
Problem: i have only 1 $ and 2 $ note . i want to give 95 $ to john . how many maximum number of 1 $ note i need ?
Output: 95
Problem: how many multiples of 6 are less than 5000 , and also multiples of 8 ?
Output: 208
Problem: audrey 4 hours to complete a certain job . ferris can do the same job in 3 hours . audrey and ferris decided to collaborate on the job , working at their respective rates . while audrey worked continuously , ferris took 5 breaks of equal length . if the two completed the job together in 2 hours , how many minutes long was each of ferris ’ breaks ?
Output: 6
Problem: find the sum of divisors of 544 which are perfect squares .
Output: 21
Problem: a glass was filled with 10 ounces of water , and 0.03 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?
Output: 6 %
Problem: a cistern is normally filled in 6 hours but takes two hours longer to fill because of a leak in its bottom . if the cistern is full , the leak will empty it in ?
Output: 24
Problem: a mobile battery in 1 hour charges to 20 percent . how much time ( in minute ) will it require more to charge to 50 percent .
Output: 150
Problem: the diagonals of a rhombus are 10 cm and 12 cm . find its area ?
Output: 60
Problem: a hollow iron pipe is 21 cm long and its external diameter is 8 cm . if the thickness of the pipe is 1 cm and iron weighs 8 g / cm 3 , then the weight of the pipe is :
Output: 3.696 kg