niryuu/sni-each-converted huggingface dataset:
Problem: income and expenditure of a person are in the ratio 7 : 6 . if the income of the person is rs . 14000 , then find his savings ?
Output: 2000
Problem: 3 people took gmat practice tests in which the minimum and maximum possible scores are 200 and 800 , respectively . they each took a test 3 times , and no one scored below 400 or over 700 . if the individual ranges of the 3 people ' s scores in those 3 practice tests were 40 , 70 and 100 , what is the difference between the maximum and minimum possible ranges of all their scores put together .
Output: 20
Problem: if p / q = 3 / 11 , then 2 p + q = ?
Output: 17
Problem: what is the probability of rolling a total of 5 with a single roll of two fair 6 - sided dice , each with the distinct numbers 1 through 6 on each side ?
Output: 1 /
Problem: if the simple interest on a certain sum of money for 6 years is one – fifth of the sum , then the rate of interest per annum is
Output: 3.3 %
Problem: the population of a city is 415600 . it increased by 25 % in the first year and decreased by 30 % in the second year . what is the population of the city at the end of second year ?
Output: 363650
Problem: what is the least value of x , so that 2 x 5472 is divisible by 9
Output: 7
Problem: a thief is spotted by a policeman from a distance of 150 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ?
Output: 600 m
Problem: car x began traveling at an average speed of 35 miles per hour . after 72 minutes , car y began traveling at an average speed of 70 miles per hour . when both cars had traveled the same distance , both cars stopped . how many miles did car x travel from the time car y began traveling until both cars stopped ?
Output: 42
Problem: a fruit juice company earns $ 150 per 100 gallons of apple juice sold , $ 170 per 100 gallons of guava juice sold , $ 130 per 100 gallons of grape juice sold , $ 100 per 100 gallons of orange juice . if the company manages to sell 230 gallons of apple , 210 gallons of guava , 310 gallons of grape , 270 gallons of orange on a particular day . what is the average earning of the company per 100 gallon of the juice sold ?
Output: 134.8
Problem: if a mixture is 1 ⁄ 7 alcohol by volume and 2 ⁄ 7 water by volume , what is the ratio of the volume of alcohol to the volume of water in this mixture ?
Output: 1 / 2
Problem: a man sitting in a train which is travelling at 50 kmph observes that a goods train , travelling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed ?
Output: 62 kmph .
Problem: the average of 10 numbers is 7 . if each number is multiplied by 12 , then the average of new set of numbers is
Output: 84
Problem: a train 500 m long can cross an electric pole in 50 sec and then find the speed of the train ?
Output: 36 kmp
Problem: the length of a rectangle is increased by 40 % while its width is halved . what is the % change in area ?
Output: 30 %', 'c ) 50 %', 'd ) 65 %', 'e ) 70 %'
Problem: if 5 x = 3 y and xy ≠ 0 , what is the ratio of 1 / 5 * x to 1 / 6 * y ?
Output: 18 / 25
Problem: a family pays $ 800 per year for an insurance plan that pays 70 percent of the first $ 1,000 in expenses and 100 percent of all medical expenses thereafter . in any given year , the total amount paid by the family will equal the amount paid by the plan when the family ' s medical expenses total how much ?
Output: $ 1,400
Problem: for every integer n ≥ 3 , the function g ( n ) is defined as the product of all the odd integers from 1 to n , inclusive . what is the value of g ( 101 ) – g ( 99 ) ?
Output: 100
Problem: two trains of equal length are running on parallel lines in the same directions at 46 km / hr . and 36 km / hr . the faster trains pass the slower train in 72 seconds . the length of each train is :
Output: 100 m
Problem: a vendor bought toffees at 6 for a rupee . how many for a rupee must he sell to gain 30 % ?
Output: 15 /
Problem: how many seconds will a train 140 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?
Output: 29 sec
Problem: a man swims downstream 96 km and upstream 64 km taking 4 hours each time ; what is the speed of the current ?
Output: 4
Problem: sophia finished 2323 of a book . she calculated that she finished 90 more pages than she has yet to read . how long is her book ?
Output: 270
Problem: on her annual road trip to visit her family in seal beach , california , traci stopped to rest after she traveled 1 ⁄ 3 of the total distance and again after she traveled 1 ⁄ 4 of the distance remaining between her first stop and her destination . she then drove the remaining 300 miles and arrived safely at her destination . what was the total distance , in miles , from traci ’ s starting point to seal beach ?
Output: 600
Problem: if 5 x = 6 y and xy ≠ 0 , what is the ratio of 1 / 4 * x to 1 / 6 * y ?
Output: 9 / 5
Problem: the marks obtained by vijay and amith are in the ratio 4 : 5 and those obtained by amith and abhishek in the ratio of 3 : 4 . the marks obtained by vijay and abhishek are in the ratio of ?
Output: 3 : 5
Problem: the length of a room is 5.5 m and width is 3.75 m . find the cost of paying the floor by slabs at the rate of rs . 1200 per sq . metre .
Output: rs . 24,750
Problem: a man sitting in a train which is travelling at 80 kmph observes that a goods train , travelling in opposite direction , takes 9 seconds to pass him . if the goods train is 280 m long , find its speed ?
Output: 32 kmph
Problem: three pipes , a , b , & c are attached to a tank . a & b can fill it in 20 & 30 minutes respectively while c can empty it in 20 minutes . if a , b & c are kept open successively for 1 minute each , how soon will the tank be filled ?
Output: 1 hour 30 min
Problem: how many zeroes are there at the end of the number n , if n = 70 ! + 140 ! ?
Output: 16
Problem: x can finish a work in 25 days . y can finish the same work in 20 days . y worked for 12 days and left the job . how many days does x alone need to finish the remaining work ?
Problem: a , b and c invested rs . 6000 , rs . 7200 and rs . 10800 respectively , in a partnership business . find the share of c in profit of rs . 19000 after a year ?
Output: 8550
Problem: if 15 percent of the students at a certain school went to a camping trip and took more than $ 100 , and 75 percent of the students who went to the camping trip did not take more than $ 100 , what percentage of the students at the school went to the camping trip ?
Output: 6
Problem: an object thrown directly upward is at a height of h feet after t seconds , where h = - 14 ( t - 3 ) ^ 2 + 150 . at what height , in feet , is the object 2 seconds after it reaches its maximum height ?
Output: 94
Problem: a man spends 2 / 5 of his salary on house rent , 3 / 10 of his salary on food and 1 / 8 of his salary on convenience he has rs . 1400 left with him , find his expenditure on food and conveyance .
Output: 1000
Problem: how many cones of radius 4 m , height 2 m can be formed from a cylinder of 12 m radius , 10 m height :
Output: 135', 'b ) 125', 'c ) 145', 'd ) 115', 'e ) 155'
Problem: the denominator of a fraction is 7 greater than the numerator . if the numerator and the denominator are increased by 4 , the resulting fraction is equal to 5 â  „ 6 . what is the value of the original fraction ?
Output: 31 / 38
Problem: the average of 11 numbers is 500 . out of 11 numbers the average of first 6 no . is 50 , and last 6 numbers is 60 then find 6 th number ?
Output: 110
Problem: 70 is increased by 50 % . find the final number .
Output: 105
Problem: in a group of 8 semifinalists , all but 2 will advance to the final round . if in the final round only the top 3 will be awarded medals , then how many groups of medal winners are possible ?
Output: 56
Problem: martha has the unique talent of being able to guess other people ’ s height and weight . for every 6 people that martha meets , she consistently guesses the people ’ s correct height 5 times , and for every 8 people that she meets , she consistently guesses the people ’ s correct weight 6 times . if martha meets 3 people and her success rate remains constant , what is the probability that martha correctly guesses a person ’ s weight and height at least once ?
Output: 485 / 512
Problem: the ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8 . if there are 90 black cars in the lot , how many red cars are there in the lot ?
Output: 33
Problem: ages of two persons differ by 20 years . if 6 year ago , the elder one be 3 times as old the younger one , find their present age
Output: 16,36
Problem: a bag contains 12 red marbles . if someone were to remove 2 marbles from the bag , one at a time , and replace the first marble after it was removed , the probability that neither marble would be red is 25 / 36 . how many marbles are in the bag ?
Output: 48
Problem: a bowl was filled with 10 ounces of water , and 0.004 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?
Output: 2 %
Problem: of the families in city x in 1994 , 35 percent owned a personal computer . the number of families in city x owning a computer in 1998 was 20 percent greater than it was in 1994 , and the total number of families in city x was 4 percent greater in 1998 than it was in 1994 . what percent of the families in city x owned a personal computer in 1998 ?
Output: 40.38 %
Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each . the radius of the sphere is
Output: 6 cm
Problem: the area of a parallelogram is 72 sq m and its base is 12 m . then the length of the height is ?
Output: 6 m
Problem: a fort had provision of food for 150 men for 45 days . after 15 days , 10 men left the fort . the number of days for which the remaining food will last , is :
Output: 32
Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 60 year . what is the age of the youngest child ?
Output: 6 year
Problem: a set of pictures of butterflies contains 10 pictures . jim bought 3 of the pictures . if 2 pictures are to be picked out from the 10 pictures , what is the probability that both pictures are not those that were already bought by jim ?
Output: 7 / 15
Problem: maths , physics and chemistry books are stored on a library shelf that can accommodate 25 books . currently , 20 % of the shelf spots remain empty . there are twice as many maths books as physics books and the number of physics books is 4 greater than that of chemistry books . among all the books , 12 books are soft cover and the remaining are hard - cover . if there are a total of 7 hard - cover books among the maths and physics books . what is the probability q , that a book selected at random is either a hard cover book or a chemistry book ?
Output: 9 / 2
Problem: a man started driving at a constant speed , from the site of a blast , the moment he heard the blast . he heard a second blast after a time of 30 mins and 15 seconds . if the second blast occurred exactly 30 mins after the first , how many meters was he from the site when he heard the second blast ? ( speed of sound = 330 m / s )
Output: 4950
Problem: eddy and freddy start simultaneously from city a and they travel to city b and city c respectively . eddy takes 3 hours and freddy takes 4 hours to complete the journey . if the distance between city a and city b is 510 kms and city a and city c is 300 kms . what is the ratio of their average speed of travel ? ( eddy : freddy )
Output: 34 / 1
Problem: two brothers ram and ravi appeared for an exam . the probability of selection of ram is 4 / 7 and that of ravi is 1 / 5 . find the probability that both of them are selected .
Output: 4 / 35
Problem: the cross - section of a cannel is a trapezium in shape . if the cannel is 12 m wide at the top and 2 m wide at the bottom and the area of cross - section is 4200 sq m , the depth of cannel is ?
Output: 600
Problem: 120 kg of an alloy a is mixed with 180 kg of alloy b . if alloy a has lead and tin in the ratio 2 : 3 and alloy b has tin and copper in the ratio 3 : 5 , then the amount of tin in the new alloy is ?
Output: 139.5 kg
Problem: how many seconds will a train 120 meters long take to cross a bridge 150 meters long if the speed of the train is 36 kmph ?
Output: 27 sec
Problem: 3 / 4 of a number is 19 less than the original number . the number is ?
Output: 76
Problem: the cost price of 40 articles is the same as the selling price of x articles . if the profit is 25 % , what is x ?
Output: 32
Problem: a man can row 6 kmph in still water . when the river is running at 3 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?
Output: 4.5
Problem: the interest on a certain deposit at 4.5 % p . a . is rs . 202.50 in one year . how much will the additional interest in one year be on the same deposit at 5 % p . a ?
Output: rs . 22.50
Problem: ( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 5.0 = ?
Output: - 0.852
Problem: what is the remainder when 12987 ^ ( 65987036 ) is divided by 5 ?
Output: 1
Problem: if the wheel is 12 cm then the number of revolutions to cover a distance of 1056 cm is ?
Output: 14
Problem: if the length and breadth of a rectangular room are each increased by 1 m , then the area of floor is increased by 21 sq . m . if the length is creased by 1 m and breadth is decreased by 1 m , then the area is decreased by 5 sq . m . the perimeter of the floor is :
Output: 40', 'd ) 49', 'e ) 38'
Problem: a car is 15 minutes late by running at a speed of 4 / 5 th of its actual speed . the actual time taken by the car to cover that distance is :
Output: 1 hour
Problem: the average runs scored by a batsman in 20 matches is 40 . in the next 10 matches the batsman scored an average of 30 runs . find his average in all the 30 matches ?
Output: 36.67
Problem: the maitre ' d at an expensive manhattan restaurant has noticed that 60 % of the couples order dessert and coffee . however , 20 % of the couples who order dessert do n ' t order coffee . what is the probability t that the next couple the maitre ' d seats will not order dessert ?
Output: 25 %
Problem: anne bought doughnuts for a class breakfast party . she bought 6 chocolate doughnuts , 8 coconut doughnuts , and 8 jam - filled doughnuts . how many doughnuts did anne buy in all ?
Output: 22
Problem: i sold a book at a profit of 10 % . had i sold it for $ 110 more , 15 % would have been gained . find the cost price ?
Output: $ 2200
Problem: find the perimeter and area of the rectangle of length 19 cm and breadth 13 cm .
Output: 247 cm
Problem: 90 % of the population of a village is 36000 . the total population of the village is ?
Output: 4000
Problem: ( ( - 1.9 ) ( 0.6 ) – ( 2.6 ) ( 1.2 ) ) / 2.0 = ?
Output: - 2.13
Problem: the probability that a number selected at random from the first 50 natural numbers is a composite number is
Output: 17 / 25
Problem: a retailer buys 80 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of 1 % , what is the profit % ?
Output: 12
Problem: if there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city , find the number of 4 wheelers parked there if the total number of wheels is 66 ?
Output: 16
Problem: a train running at the speed of 27 km / hr crosses a post in 20 seconds . what is the length of the train ?
Output: 150
Problem: what is the rate percent when the simple interest on rs . 800 amount to rs . 128 in 4 years ?
Output: 4 %
Problem: a restaurant spends one quarter of its monthly budget for rent and half of the rest for food and beverages . what percentage of the budget does the restaurant spend for food and beverages ?
Output: 37.5 %
Problem: if a is a positive integer , and if the units digit of a ^ 2 is 4 and the units digit of ( a + 1 ) ^ 2 is 1 , what is the units digit of ( a + 2 ) ^ 2 ?
Output: 0
Problem: the ratio of the volumes of two cubes is 125 : 512 . what is the ratio of their total surface areas ?
Output: 25 : 64
Problem: an error 1 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is :
Output: 2.01
Problem: george went to a fruit market with certain amount of money . with this money he can buy either 40 oranges or 40 mangoes . he retains 10 % of the money for taxi fare and buys 20 mangoes . how many oranges can he buy ?
Output: 25
Problem: the average mark of the students of a class in a particular exam is 80 . if 5 students whose average mark in that exam is 60 are excluded , the average mark of the remaining will be 90 . find the number of students who wrote the exam .
Output: 15
Problem: ann and bob drive separately to a meeting . ann ' s average driving speed is greater than bob ' s avergae driving speed by one - third of bob ' s average driving speed , and ann drives twice as many miles as bob . what is the ratio w of the number of hours ann spends driving to the meeting to the number of hours bob spends driving to the meeting ?
Output: 3 : 2
Problem: 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 u digit of ( a + 2 ) ^ 2 ?
Output: 1
Problem: find the value of 72515 x 9999 = m ?
Output: 725077485
Problem: a can give b 50 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ?
Output: 157.89
Problem: the present population of a town is 1240 . population increase rate is 4 % p . a . find the population of town after 1 years ?
Output: 129
Problem: sandy bought 65 books for $ 1080 from one shop and 55 books for $ 840 from another shop . what is the average price that sandy paid per book ?
Output: $ 16
Problem: a merchant marks goods up by 80 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 35 % . what % discount did the merchant offer ?
Output: 25 %
Problem: the average height of 20 students in a class was calculated as 175 cm . it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 136 cm . what was the actual average height of the students in the class ?
Output: 174.25 cm
Problem: the cost price of a radio is rs . 3300 and it was sold for rs . 1230 , find the loss % ?
Output: 62.7 %
Problem: at what rate percent per annum will the simple interest on a sum of money be 3 / 5 of the amount in 10 years ?
Output: 6 %
Problem: ( 3220 + 6160 ) / 28
Output: 335
Problem: working simultaneously and independently at an identical constant rate , 5 machines of a certain type can produce a total of x units of product p in 4 days . how many of these machines , working simultaneously and independently at this constant rate , can produce a total of 2 x units of product p in 2 days ?
Output: 2
Problem: heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many litres of tomato puree will be obtained from 20 litres of tomato juice ?
Output: 2.5 litres
Problem: if a speaks the truth 40 % of the times , b speaks the truth 80 % of the times . what is the probability that at least one will tell the truth
Output: 0.12
Problem: a seller of used cars has 12 cars to sell and each of his clients selected 4 cars that he liked most . if each car was selected exactly thrice , how many clients visited the garage ?
Output: 9
Problem: the length of a rectangular landscape is 3 times its breadth . there is a playground in it whose area is 1600 square mtr & which is 1 / 3 rd of the total landscape . what is the length of the landscape ?
Output: 150
Problem: set a contains all the even numbers between 2 and 50 inclusive . set b contains all the even numbers between 62 and 110 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ?
Output: 1500
Problem: the cost price of 20 articles is the same as the selling price of x articles . if the profit is 25 % , then the value of x is :
Output: 16
Problem: the ratio of male to female in a class is 2 : 3 . the career preference of the students in the class are to be represented in a circle graph . if the area of the graph allocated to each career preference is to be proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one fourth of the males and 3 / 4 th of the females in the class ?
Output: b ) 198 degree', 'c ) c ) 191 degree', 'd ) d ) 192 degree', 'e ) e ) 204 degree'
Problem: at what price must an article costing rs . 47.50 be marked in order that after deducting 20 % from the list price . it may be sold at a profit of 25 % on the cost price ?
Output: 74.2
Problem: a mail handler needs 3 hours to sort the mail . his assistant takes 6 hours to sort the mail . how many hours will it take for both of them working together to sort the mail ?
Output: 2
Problem: a bag contains 7 black and 8 white balls . if two balls are drawn simultaneously , what is the probability that both are of the same color is ?
Output: 7 / 1
Problem: if it is assumed that 60 percent of those who receive a questionnaire by mail will respond and 240 responses are needed , what is the minimum number of questionnaires that should be mailed ?
Output: 400
Problem: the average of first five multiples of 7 is :
Output: 2
Problem: a does half as much work as b in 3 - fourth of the time . if together they take 18 days to complete the work , how much time shall b take to do it ?
Output: 30 days
Problem: a certain sum of money is divided among a , b and c so that for each rs . a has , b has 65 paisa and c 40 paisa . if c ' s share is rs . 56 , find the sum of money ?
Output: 287
Problem: in what time will a train 80 m long cross an electric pole , it its speed be 144 km / hr ?
Output: 2.0 sec
Problem: john purchased 1375 large bottles at $ 1.75 per bottle and 690 small bottles at $ 1.35 per bottle . what was the approximate average price paid per bottle ?
Output: $ 1.62
Problem: an investor deposited $ 5,000 to open a new savings account that earned 8 percent annual interest , compounded quarterly . if there were no other transactions in the account , what was the amount of money in the account 6 months after the account was opened ?
Output: $ 5202
Problem: 1 , 8 , 27 , 64 , . . .
Output: 12
Problem: a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 11 . what could be the ratio of cats to dogs in the pet store ?
Output: 44 : 55
Problem: john makes $ 60 a week from his job . he earns a raise and now makes $ 90 a week . what is the % increase ?
Output: 50 %
Problem: a rope of which a calf is tied is increased from 12 m to 23 m , how much additional grassy ground shall it graze ?
Output: 1210
Problem: x can finish a work in 21 days . y can finish the same work in 15 days . yworked for 10 days and left the job . how many days does x alone need to finish the remaining work ?
Output: 7
Problem: a sells a bicycle to b and makes a profit of 25 % . b sells the same bicycle to c at a profit of 50 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a .
Output: 12
Problem: two trains of equal are running on parallel lines in the same direction at 18 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ?
Output: 25
Problem: the average marks of a class of 12 students is 40 and that of another class of 28 students is 60 . find the average marks of all the students ?
Output: 54.
Problem: if 10 gallons of grape juice are added to 40 gallons of a mixture , which contains 20 percent grape juice then what percent of the resulting mixture is grape juice ?
Output: 36 %
Problem: a shopkeeper has 280 kg of apples . he sells 85 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total .
Output: 35
Problem: 15 men take 21 days of 8 hrs . each to do a piece of work . how many days of 5 hrs . each would it take for 21 women if 3 women do as much work as 2 men ?
Output: 3
Problem: ann and bob drive separately to a meeting . ann ' s average driving speed is greater than bob ' s avergae driving speed by one - third of bob ' s average driving speed , and ann drives twice as many miles as bob . what is the ratio e of the number of hours ann spends driving to the meeting to the number of hours bob spends driving to the meeting ?
Output: 3 : 2
Problem: as a treat for her two crying children , a mother runs to the freezer in which she has 4 cherry ice pops , 3 orange ice pops , and 4 lemon - lime ice pops . if she chooses two at random to bring outside to the children , but realizes as she runs out the door that she can not bring them different flavors without one invariably being jealous of the other and getting even more upset , what is the probability that she has to return to the freezer to make sure that they each receive the same flavor ?
Output: 1 / 99
Problem: a and b together can complete a work in 12 days . a alone complete it in 20 days . if b does the work only for half a day daily , then in how many days a and b together will complete the work ?
Output: 15 days
Problem: in a fuel station the service costs $ 1.65 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 55 liters and they are all empty , how much money total will it cost to fuel all cars ?
Output: 448.8 $
Problem: a certain rectangular crate measures 6 feet by 8 feet by 10 feet . a cylindrical gas tank is to be made for shipment in the crate and will stand upright when the crate is placed on one of its six faces . what should the radius of the tank be if it is to be of the largest possible volume ?
Output: 4
Problem: the lenght of a room is 5.5 m and width is 4 m . find the cost of paving the floor by slabs at the rate of rs . 950 per sq . metre .
Output: s . 20,900
Problem: the function f ( n ) is defined as the product of all the consecutive positive integers between 3 and n ^ 2 , inclusive , whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n , inclusive . the exponent on 2 in the prime factorization of f ( 3 ) / g ( 3 ) is
Output: 3
Problem: how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 136 m length ?
Output: 12.3 sec
Problem: by approximately what percent is x greater than 5 / 11 if ( 4 / 11 ) ( x ) = 1 ?
Output: 505 %
Problem: two mba admissions committees are to be formed randomly from 6 second year mbas with 3 members each . what is the probability that jane will be on the same committee as albert ?
Output: 40 %
Problem: a group of 7 teenagers recently visited the japanese restaurant . the total bill for the meal , including 20 % gratuity , came to $ 840 . on average , how much did the meal of each individual cost before gratuity ?
Output: $ 10
Problem: a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 65 percent of books that were loaned out are returned and there are 68 books in the special collection at that time , how many books of the special collection were loaned out during that month ?
Output: 20
Problem: a shopkeeper forced to sell at cost price , uses a 950 grams weight for a kilogram . what is his gain percent ?
Output: 5.26 %
Problem: if 7 ^ q is a factor of the product of the integers from 1 to 100 , inclusive , what is the largest value of q ?
Output: 1
Problem: susan drove an average speed of 30 miles per hour for the first 60 miles of a tripthen at a average speed of 60 miles / hr for the remaining 30 miles of the trip if she made no stops during the trip what was susan ' s avg speed in miles / hr for the entire trip
Output: 36
Problem: a 415 m long train is running at 63 km / hr . in how much time will it cross a tunnel 285 m long ?
Output: 4
Problem: the bankers discount of a certain sum of money is rs . 288 and the true discount on the same sum for the same time is rs . 240 . the sum due is :
Output: 1440
Problem: a shopkeeper sold an article offering a discount of 4 % and earned a profit of 32 % . what would have been the percentage of profit earned if no discount was offered ?
Output: 37.
Problem: the volume of the sphere qq is ( dfrac { 37 } { 64 } % ) less than the volume of sphere pp and the volume of sphere rr is ( dfrac { 19 } { 27 } % ) less than that of sphere qq . by what is the surface areaof sphere rr less than the surfacearea of sphere pp ?
Output: 75 %', 'd ) 80 %', 'e ) 89 %'
Problem: what will be the cost of gardening 1 meter boundary around a rectangular plot having perimeter of 340 meters at the rate of rs . 10 per square meter ?
Output: rs . 3440', 'c ) rs . 3450', 'd ) rs . 3460', 'e ) rs . 3490'
Problem: a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 18 days . in how many days b alone can do the work ?
Output: 27 days
Problem: the h . c . f . of two numbers is 30 and the other two factors of their l . c . m . are 25 and 24 . the larger of the two numbers is
Output: 750
Problem: by investing in 1623 % stock at 64 , one earns rs . 1800 . the investment made is
Output: s . 691
Problem: arun purchased 30 kg of wheat at the rate of rs . 11.50 per kg and 20 kg of wheat at the rate of 14.25 per kg . he mixed the two and sold the mixture . approximately what price per kg should be sell the mixture to make 15 % profit ?
Output: 14.49
Problem: one pipe can fill a tank four times as fast as another pipe . if together the two pipes can fill the tank in 36 minutes , then the slower pipe alone will be able to fill the tank in :
Output: 180 min
Problem: carl is facing very difficult financial times and can only pay the interest on a $ 10,000 loan he has taken . the bank charges him a quarterly compound rate of 8 % . what is the approximate interest he pays annually ?
Output: 3500
Problem: a patient is given exactly 750 milliliters of a mixture of two medications daily . medication a contains 40 % pain killer and medication b contains 20 % pain killer . if the patient receives exactly 215 milliliters of pain killer daily , how many milliliters of medication b are in the mixture ?
Output: 425
Problem: a train passes a platform in 18 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
Output: 120
Problem: let s is a set of all natural numbers less than 120 such that hcf of any element in s and 120 is 1 . find the sum of all elements in s ?
Output: 1584
Problem: a swimmer can swim in still water at 4 km / h . if the speed of the water current is 2 km / h , how many hours will the swimmer take to swim against the current for 5 km ?
Output: 2.5
Problem: if a tire rotates at 400 revolutions per minute when the car is traveling 48 km / h , what is the circumference of the tire ?
Output: 2 meters
Problem: a snooker tournament charges $ 45.00 for vip seats and $ 20.00 for general admission ( “ regular ” seats ) . on a certain night , a total of 320 tickets were sold , for a total cost of $ 7500 . how many fewer tickets were sold that night for vip seats than for general admission seats ?
Output: 276
Problem: find the principle on a certain sum of money at 5 % per annum for 3 1 / 5 years if the amount being rs . 1160 ?
Output: rs . 1000
Problem: 4 balls of different colors are to be placed in 3 different boxes such that any box contains at least 1 ball . what is the maximum number of different ways in which this can be done ?
Output: 18
Problem: if x is to be chosen at random from the set { 1 , 2 , 3 , 4 } and y is to be chosen at random from the set { 6 , 7 } , what is the probability that xy will be even ?
Output: 1 / 6
Problem: find the ones digit of 73 ^ 300
Output: 1
Problem: find the value of ( 0.75 * 0.75 * 0.75 - 0.001 ) / ( 0.75 * 0.75 - 0.075 + 0.01 )
Output: 0.845
Problem: a train passes a station platform in 36 sec and a man standing on the platform in 20 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?
Output: 240 m
Problem: the length of the bridge , which a train 140 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?
Output: 235
Problem: working together , printer a and printer b would finish the task in 24 minutes . printer a alone would finish the task in 60 minutes . how many pages does the task contain if printer b prints 10 pages a minute more than printer a ?
Output: 1200
Problem: the average height of 35 boys in a class was calculated as 185 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ?
Output: 183.29 cm
Problem: whats the reminder when 65,985 , 241,545 , 898,754 , 582,556 , 898,522 , 454,889 is divided by 16
Problem: you enter a weight loss challenge game and manage to lose 12 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?
Output: 10.24 %
Problem: if 20 men can build a water fountain 56 metres long in 14 days , what length of a similar water fountain can be built by 35 men in 3 days ?
Output: 21 m
Problem: if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 4650 , r will receive
Output: 900
Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 8 students is 14 years and that of the other 6 students is 16 years , the age of the 15 th student is
Output: 17
Problem: if log 2 = 0.3010 and log 3 = 0.4771 then the value of log 4.5 is :
Output: 0.6532
Problem: a committee is reviewing a total of 40 x black - and - white films and 10 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction of the selected films are in color ?
Output: 50 / 52
Problem: a clock shows the time as 10 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 6 p . m . ?
Output: 40 minute
Problem: in 1970 there were 8,902 women stockbrokers in the united states . by 1978 the number had increased to 23,947 . approximately what was the percent increase ?
Output: 169
Problem: if the cost price of 24 chocolates is equal to the selling price of 16 chocolates , the gain percent is :
Output: 50 %
Problem: a fort had provision of food for 150 men for 45 days . after 10 days , 25 men left the fort . find out the number of days for which the remaining food will last .
Output: 42
Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 14 and 15 . the larger of the two numbers is :
Output: 345
Problem: during a given week a programmer spends 1 / 4 of his time preparing flow chart , 3 / 8 of his time coding and the rest of the time in debugging the programs . if he works 48 hours during the week , how many hours did he spend debugging the program .
Output: 18 hrs
Problem: 1 / 2,16 , 4,15 , 3,56 , _ ?
Output: 28 / 3
Problem: there is enough provisions for 600 men in an army camp for 25 days . if there were 250 men less , how long will the provision last ?
Output: 60 days
Problem: in what time will a train 200 m long cross an electric pole , it its speed be 144 km / hr ?
Output: 5 se
Problem: in a group of 100 cars , 49 cars do not have air conditioning . if at least 51 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ?
Output: 49
Problem: at what rate percent on simple interest will rs . 1500 amount to rs . 2000 in 5 years ?
Output: 8.33 %
Problem: last year a certain bond price with a face value of 5000 yielded 10 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?
Output: 7692
Problem: the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people c who purchased only book a ?
Output: 1000
Problem: company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 2 / 3 were basic and the rest were deluxe . if it takes 1.1 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ?
Output: 11 / 31
Problem: in township k , 1 / 5 of the housing units are equiped with cable tv . if 1 / 10 of the housing units , including 1 / 6 of those that are equiped with cable tv , are equipped with videocassette recorders , what fraction of the housing units have neither cable tv nor videocassette recorders ?
Output: 11 / 15
Problem: walking at 3 / 4 of her normal speed , a worker is 8 minutes later than usual in reaching her office . the usual time ( in minutes ) taken by her to cover the distance between her home and her office is
Output: 24
Problem: the total age of a and b is 14 years more than the total age of b and c . c is how many years younger than a ?
Output: 14
Problem: in a party every person shakes hands with every other person . if there were a total of 171 handshakes in the party then what is the number of persons present in the party ?
Output: 1
Problem: two spherical balls lie on the ground touching . if one of the balls has a radius of 7 cm , and the point of contact is 10 cm above the ground , what is the radius of the other ball ( in centimeters ) ?
Output: 70 / 4
Problem: a man performs 3 / 5 of the total journey by rail , 17 / 20 by bus and the remaining 6.5 km on foot . his total journey is
Output: 130 km
Problem: two trains of length 100 meters and 200 meters are 450 meters apart . they are moving towards each other on parallel tracks , at speeds of 90 km / h and 72 km / h . after how many seconds will the trains meet ?
Output: 10
Problem: a train travels from new york to chicago , a distance of approximately 540 miles , at an average rate of 60 miles per hour and arrives in chicago at 6 : 00 in evening , chicago time . at what hour in the morning , new york time , did the train depart for chicago ? ( note : chicago time is one hour earlier than new york time )
Output: 10 : 0
Problem: a train is 360 meter long is running at a speed of 52 km / hour . in what time will it pass a bridge of 140 meter length .
Output: 34.62 seconds
Problem: a straight line in the xy - plane has a slope of 2 and a y - intercept of 2 . on this line , what is the x - coordinate of the point whose y - coordinate is 540 ?
Output: 269
Problem: in what ratio must rice of rs . 16 per kg be mixed with rice of rs . 24 per kg so that cost of mixture is rs . 18 per kg ?
Output: 3 : 1
Problem: in a class of 25 students in an examination in maths 3 students scored 95 marks each , 3 get zero each and the average of the rest was 45 . what is the average of the whole class ?
Output: 45.6
Problem: ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 3 percent and the mobile phone at a profit of 10 percent . overall he make a .
Output: 350
Problem: from a total of 5 boys and 3 girls , how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls ?
Output: 30
Problem: a man , a woman and a boy can together complete a piece of work in 3 days . if a woman alone can do it in 6 days and a boy alone in 18 days , how long will a man take to complete the work ?
Output: 9 days
Problem: a cyclist covers a distance of 750 m in 2 min 30 sec . what is the speed in km / hr of the cyclist ?
Output: 18 km / h
Problem: a train running at the speed of 70 km / hr crosses a pole in 9 sec . what is the length of the train ?
Output: 175 m
Problem: on my sister ' s birthday , she was 126 cm in height , having grown 5 % since the year before . how tall was she the previous year ?
Output: 120 cm
Problem: what is the probability of drawing a ` ` queen ' ' from a deck of 52 cards ?
Output: 1 / 13
Problem: how many multiples of 2 are there between 1 and 58 , exclusive ?
Output: 2
Problem: for a certain art exhibit , a museum sold admission tickets to a group of 50 people every 5 minutes from 9 : 00 in the morning to 5 : 55 in the afternoon , inclusive . the price of a regular admission ticket was $ 10 and the price of a student ticket was $ 6 . if on one day 3 times as many regular admission tickets were sold as student tickets , what was the total revenue from ticket sales that day ?
Output: $ 4860
Problem: sum of 3 numbers 264 , if the first number be twice then second and third number be one third of the first , then the second number is
Output: 72
Problem: if n = ( 33 ) ^ 43 + ( 53 ) ^ 33 what is the units digit of n ?
Output: 4
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 200 questions and secures 240 marks , the number of questions he attempts incorrectly , is :
Output: 112
Problem: a train moves with a speed of 216 kmph . its speed in metres per second is
Output: 6
Problem: find the least number must be subtracted from 105829 so that remaining no . is divisible by 21 ?
Output: 10
Problem: a and b started a business in partnership investing rs . 20000 and rs . 15000 respectively . after 6 months , c joined them with rs . 20000 . what will be a ' s share in the total profit of rs . 27000 earned at the end of 2 years from the starting of the business ?
Output: rs . 10,800
Problem: the average age of 50 students in a class is 14 years . if the age of teacher is also included , the average becomes 15 years , find the age of the teacher .
Output: 65
Problem: the total cost of a vacation was divided among 3 people . if the total cost of the vacation had been divided equally among 4 people , the cost per person would have been $ 60 less . what was the total cost cost of the vacation ?
Output: $ 720
Problem: twice the larger of two numbers is 3 more than 5 times the smaller , and the sum of 4 times the larger and 3 times the smaller is 71 . what are the numbers ?
Output: 14
Problem: if n is a positive integer and n ^ 2 is divisible by 72 , then the largest positive integer w that must divide n is ?
Output: 12
Problem: 800 men have provisions for 20 days . if 200 more men join them , for how many days will the provisions last now ?
Output: 16
Problem: the list price of an article is rs . 70 . a customer pays rs . 59.22 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?
Output: 6
Problem: a train crosses a platform of 200 m in 15 sec , same train crosses another platform of length 300 m in 20 sec . then find the length of the train ?
Output: 100 m
Problem: one man can do a piece of work in 10 days . one boys join him & he complete the work in 6 days . if he gets 50 rs for his work then what will be the share of the boy .
Output: 20
Problem: evaluate : 10111 - 10 * 2 * 5 = ?
Output: 10101
Problem: seed mixture x is 40 percent ryegrass and 60 percent bluegrass by weight ; seed mixture y is 25 percent ryegrass and 75 percent fescue . if a mixture of x and y contains 35 percent ryegrass , what percent of the weight of this mixture is x ?
Output: 66.66
Problem: a rectangular garden is to be twice as long as it is wide . if 150 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ?
Output: 50', 'c ) 60', 'd ) 70', 'e ) 80'
Problem: a jar of 364 marbles is divided equally among a group of marble - players today . if 2 people joined the group in the future , each person would receive 1 marble less . how many people are there in the group today ?
Output: 26
Problem: 80 370 860 ? 2440 3530
Output: 155
Problem: marginal cost is the cost of increasing the quantity produced ( or purchased ) by one unit . if the fixed cost for n products is $ 15,000 and the marginal cost is $ 200 , and the total cost is $ 25,000 , what is the value of n ?
Output: 50
Problem: peter invested a certain sum of money in a simple interest bond whose value grew to $ 300 at the end of 3 years and to $ 400 at the end of another 5 years . what was the rate of interest in which he invested his sum ?
Output: 8.33
Problem: at what rate percent on simple interest will rs . 750 amount to rs . 900 in 5 years ?
Output: 4
Problem: the diameter of the driving wheel of a bus in 140 cm . how many revolutions per minute must the wheel make in order to keep a speed of 24 kmph ?
Output: 90.9
Problem: a person borrows rs . 5000 for 2 years at 4 % p . a . simple interest . he immediately lends it to another person at 6 p . a for 2 years . find his gain in the transaction per year .
Output: 100 rs
Problem: how many liters of water must be added to 18 liters of milk and water containing 10 % water to make it 70 % water ?
Output: 36
Problem: if 1 / 5 th of a number decreased by 5 is 5 , then the number is
Output: 50
Problem: earl can stuff advertising circulars into envelopes at the rate of 36 envelopes per minutes and ellen requires a minutes and half to stuff the same number of envelops . working together , how long will it take earl and ellen to stuff 240 envelopes
Output: 4 minute
Problem: if ( x + 3 ) ^ 2 / ( 2 x + 15 ) = 3 , then the difference between the two possible values of x is :
Output: 12
Problem: a feed store sells two varieties of birdseed : brand a , which is 40 % millet and 60 % sunflower , and brand b , which is 65 % millet and 35 % safflower . if a customer purchases a mix of the two types of birdseed that is 50 % millet , what percent of the mix is brand b ?
Output: 40 %
Problem: what is the measure of the angle y made by the diagonals of the any adjacent sides of a cube .
Output: 60
Problem: a placed 3 sheets with two carbons to get two extra copies of the original . then he decided to get more carbon copies and folded the paper in such a way that the upper half of the sheets were on top of the lower half . then he typed . how many carbon copies did he get ?
Output: 2
Problem: the sum of four consecutive even numbers is 84 . what would be the largest number ?
Output: 24
Problem: the average age of applicants for a new job is 30 , with a standard deviation of 8 . the hiring manager is only willing to accept applicants whose age is within one standard deviation of the average age . assuming that all applicants ' ages are integers and that the endpoints of the range are included , what is the maximum number of different ages of the applicants ?
Output: 17
Problem: hcf and lcm two numbers are 16 and 396 respectively . if one of the numbers is 36 , then the other number is ?
Output: 176
Problem: a 10000 liter tank , half - full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes . at the same time , the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes . how many minutes does it take to fill the tank completely ?
Output: 6
Problem: mr . evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children . if mr . evans has 3 children and 6 grandchildren , then approximately what percentage of mr . evans estate will each grandchild receive ?
Output: 6.25 %
Problem: in a village of 2,700 people , 900 people are over 70 years old and 1200 people are female . it is known that 60 percent of the females are younger than 70 years old . if no one in the village is 70 years old , what is the probability that a person chosen at random is either a male or younger than 70 years old ?
Output: 37 / 45
Problem: . 04 × ? = . 000016 .
Output: 0.0004