niryuu/sni-each-converted huggingface dataset:
Problem: a train covers a distance of 100 km in 1 hour . if its speed is decreased by 10 km / hr , the time taken by the car to cover the same distance will be ?
Output: 1 hr 6 min
Problem: if s = x ^ 4 + y ^ 4 = 100 , then the greatest possible value of x is between
Output: 3 and 6
Problem: a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 2 : 3 and b : c = 2 : 5 . if the total runs scored by all of them are 100 , the runs scored by b are ?
Output: 24
Problem: a train 100 m long crosses a platform 125 m long in 1 sec ; find the speed of the train ?
Output: 810
Problem: if [ x ] is the greatest integer less than or equal to x , what is the value of [ - 2.6 ] + [ 1.4 ] + [ 2.7 ] ?
Output: 0
Problem: if i equals the sum of the even integers from 2 to 200 , inclusive , and k equals the sum of the even integers from 20 to 200 , inclusive , what is the value of i - k ?
Output: 9
Problem: by selling 32 pencils for a rupee a man loses 60 % . how many for a rupee should he sell in order to gain 60 % ?
Output: 10
Problem: how many seconds will a 800 meter long train moving with a speed of 63 km / hr take to cross a man walking with a speed of 3 km / hr in the direction of the train ?
Output: 48
Problem: if a - b = 8 and a ^ 2 + b ^ 2 = 164 , find the value of ab
Output: 50
Problem: a sum fetched a total simple interest of rs . 929.20 at the rate of 8 p . c . p . a . in 5 years . what is the sum ?
Output: 2323
Problem: ? % of 360 = 151.2
Output: 42
Problem: the radius of a wheel is 22.5 cm . what is the distance covered by the wheel in making 500 resolutions ?
Output: 707.14 m
Problem: jane makes toy bears . when she works with an assistant , she makes 89 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane ’ s output of toy bears per hour by what percent ?
Output: 110 %
Problem: how many cubes of 10 cm edge can be put in a cubical box of 1 m edge ?
Output: 1000
Problem: 12 men work 8 hours per day to complete the work in 10 days . to complete the same work in 8 days , working 15 hours a day , the number of men required ?
Output: 8 days
Problem: if a man lost 10 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ?
Output: 7.5
Problem: jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 5 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ?
Output: 25 : 2
Problem: a canteen requires 13 dozen bananas per day . how many bananas will it require for 9 weeks ?
Output: 9882
Problem: an amount of money is to be distributed among faruk , vasim and ranjith in the ratio 3 : 5 : 11 . if vasims share is rs . 1500 , what is the difference between faruk ' s and ranjith ' s shares ?
Output: s 240
Problem: the perimeter of a rectangular yard is completely surrounded by a fence that measures 36 meters . what is the length of the yard if the area of the yard is 40 meters squared ?
Output: 8
Problem: a shipment of 230 smartphones contains 84 that are defective . if a customer buys two smartphones at random from the shipment , what is the approximate probability that both phones are defective ?
Output: 9 / 68
Problem: a large box contains 20 small boxes and each small box contains 32 chocolate bars . how many chocolate bars are in the large box ?
Output: e ) 64
Problem: how many digits are in ( 8 × 10 ^ 12 ) ( 10 × 10 ^ 9 ) ?
Output: 23
Problem: pipe a fills a swimming pool in 4 hours . pipe b empties the pool in 6 hours . if pipe a was opened at 6 : 00 am and pipe b at 7 : 00 am , at what time will the pool be full ?
Output: 16 : 00
Problem: in a mayoral election , candidate x received 1 / 2 more votes than candidate y , and candidate y received 2 / 5 fewer votes than z . if z received 25000 votes how many votes did candidate x received ?
Output: 22500
Problem: a train 800 m long can cross a pole in 10 sec and then find the speed of the train ?
Output: 28
Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is two times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ?
Output: 18 :
Problem: irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 150 cookies , what percent of the cookies did nell bake ?
Output: 12.6 %
Problem: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 80 , what is the value of c − a ?
Output: 60
Problem: a string of 30 light bulbs is wired in such a way that if any individual light bulb fails , the entire string fails . if for each individual light bulb the probability of failing during time period t is 0.1 , what is the probability that the string of light bulbs will fail during the time period t ?
Output: 1 - ( 0.90 ) ^ 3
Problem: the “ length of integer x ” refers to the number of prime factors , not necessarily distinct , that x has . ( if x = 60 , the length of x would be 4 because 60 = 2 × 2 × 3 × 5 . ) what is the greatest possible length of integer z if z < 800 ?
Output: 9
Problem: an association of mathematics teachers has 1,260 members . only 560 of these members cast votes in the election for president of the association . what percent of the total membership voted for the winning candidate if the winning candidate received 60 percent of the votes cast ?
Output: 26.67 %
Problem: the circumference of the front wheel of a cart is 30 ft long and that of the back wheel is 32 ft long . what is the distance traveled by the cart , when the front wheel has done five more revolutions than the rear wheel ?
Output: 2400 f
Problem: for a certain art exhibit , a museum sold admission tickets to a group of 30 people every 5 minutes from 9 : 00 in the morning to 4 : 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: $ 25920
Problem: during a car trip , maria stopped to rest after she traveled 1 / 2 of the total distance to her destination . she stopped again after she traveled 1 / 4 of the distance remaining between her first stop and her destination , and then she drove the remaining 105 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ?
Output: 280
Problem: a can do a job in 20 days and b can do it in 30 days . a and b working together will finish thrice the amount of work in - - - - - - - days ?
Output: 36 days
Problem: if 2 / 3 rd of the contents of a container evaporated on the 1 st day . and 1 / 4 th of the remaining evaporated on the second day . what part of the contents of the container is left at the end of the second day ?
Output: 1 / 6
Problem: the average of first 7 prime numbers is ?
Output: 8.29
Problem: in a group of 28 junior high school students , 5 take french , 10 take spanish , and 4 take both languages . the students taking both french and spanish are not counted with the 7 taking french or the 10 taking spanish . how many students are not taking either french or spanish ?
Output: 13
Problem: if pintu is coded as 79523 in a certain code language , how would you code dumbo in the same language ?
Output: 43426
Problem: a , b , c can complete a piece of work in 3,9 and 15 days respectively . working together , they will complete the same work in how many days ?
Output: 45 / 23
Problem: in a group of cows and chickens , the number of legs was 12 more than twice the number of heads . the number of cows was :
Output: 6
Problem: a store reported total sales of $ 385 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: 20 %
Problem: if a - b = 3 and a ^ 2 + b ^ 2 = 29 , find the value of ab .
Output: 10
Problem: a man is 24 years older than his son . in six years , his age will be twice the age of his son . the present age of the son is
Output: non
Problem: for what value of x between − 7 and 7 , inclusive , is the value of x ^ 2 − 10 x + 16 the greatest ?
Output: − 7
Problem: the sum of all two digit numbers divisible by 6 is
Output: 81
Problem: students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 182 cms . what was the ratio of men to women ?
Output: 5 : 1
Problem: ages of two persons differ by 14 years . if 6 year ago , the elder one be 3 times as old the younger one , find their present age
Output: 13,27
Problem: the price of a coat in a certain store is $ 500 . if the price of the coat is to be reduced by $ 400 , by what percent is the price to be reduced ?
Output: 80
Problem: convert 2.3 hectares in ares
Output: 230 ares .
Problem: jack has two dice , one has 6 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , and the other has 7 equally probable sides , labeled 1 , 2 , 3 , 4 , 5 , 6 , 7 . if jack rolls both dice what is the probability that both of the number ' s sum will be 13 ?
Output: 1 / 42
Problem: calculate how many seconds it will take for 4 bells to toll together again , given that they begin to toll together respectively at the intervals of 9 , 12 , 15 and 18 seconds ?
Output: 180
Problem: if a = 105 and a ^ 3 = 21 * 25 * 315 * b , what is the value of b ?
Output: 7
Problem: boy sells a book for rs . 540 he gets a loss of 10 % , to gain 10 % , what should be the sp ?
Output: 66
Problem: xavier , yvonne , and zelda each try independently to solve a problem . if their individual probabilities for success are 1 / 3 , 1 / 2 and 5 / 8 , respectively , what is the probability that xavier and yvonne , but not zelda , will solve the problem ?
Output: 1 / 16
Problem: a sum of money is put out at compound interest for 2 years at 20 % . it would fetch rs . 723 more if the interest were payable half - yearly , then it were pay able yearly . find the sum .
Output: 30000
Problem: if 0.2 of a number is equal to 0.08 of another number , the ratio of the numbers i
Output: 2 : 5
Problem: a person want to give his money of $ 1800 to his 3 children a , b , c in the ratio 2 : 3 : 4 . what is the b ' s share ?
Output: $ 600
Problem: in what time will a train 240 metres long cross an electric pole , if its speed be 126 km / hr ?
Output: 6.85 sec
Problem: a tourist does not have to pay tax on the first $ 600 of goods he purchases in country b , but does have to pay a 7 percent tax on the portion of the total value that is in excess of $ 600 . what tax must be paid by a tourist if he buys goods with a total value of $ 1720 ?
Output: $ 78.40
Problem: how long does a train 110 m long travelling at 60 kmph takes to cross a bridge of 200 m in length ?
Output: 18.6 sec
Problem: excepting ‘ seldom ’ which means – rarely , infrequently and not often , is the antonym .
Output: 176
Problem: if y is the smallest positive integer such that 7350 multiplied by y is the square of an integer , then y must be
Output: 6
Problem: simplify : 0.6 * 0.6 + 0.6 * 0.6
Output: 0.4
Problem: two pipes a and b can fill a tank in 24 minutes and 32 minutes respectively . if both the pipes are opened simultaneously , after how much time should b be closed so that the tank is full in 18 minutes ?
Output: 8 minute
Problem: the average height of 35 boys in a class was calculated as 181 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: 179.29 cm
Problem: in an election between the two candidates , the candidates who gets 70 % of votes polled is winned by 280 vote ’ s majority . what is the total number of votes polled ?
Output: 700
Problem: a dishonest dealer professes to sell goods at the cost price but uses a weight of 990 grams per kg , what is his percent ?
Output: 1.01 %
Problem: a factory that employs 1000 assembly line workers pays each of these workers $ 5 per hour for the first 40 hours worked during a week and 1 ½ times that rate for hours worked in excess of 40 . what was the total payroll for the assembly - line workers for a week in which 30 percent of them worked 30 hours , 50 percent worked 40 hours , and the rest worked 50 hours ?
Output: $ 200,000
Problem: 50 % of x is greater than 1 / 3 rd of x by 110 . what is x ?
Output: 66
Problem: the bases of a hemisphere and a cone are equal . if their heights are also equal then ratio between their curved surface area is —
Output: √ 2 ∶ 1', 'c ) 1 : 2', 'd ) 2 : 1', 'e ) none of these'
Problem: the average age of a , b and c is 26 years . if the average age of a and c is 29 years , what is the age of b in years ?
Output: 20
Problem: a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 25 % lemonade syrup ?
Output: 2.14
Problem: in what time will a train 175 m long cross an electric pole , it its speed be 180 km / hr ?
Output: 3.
Problem: 80 % of the population of a village is 64000 . the total population of the village is ?
Output: 80000
Problem: the sum of 33 consecutive integers is 3333 . what is the greatest integer in the set ?
Output: 117
Problem: the perimeter of a triangle is 42 cm and the inradius of the triangle is 5.0 cm . what is the area of the triangle ?
Output: 105 cm 2
Problem: find the probability that the number drawn is a factor of 50 .
Output: 3 / 50
Problem: company c sells a line of 20 products with an average retail price of $ 1,200 . if none of these products sells for less than $ 400 , and exactly 10 of the products sell for less than $ 1,000 , what is the greatest possible selling price of the most expensive product ?
Output: 11000
Problem: the total age of a and b is 12 year more than the total age of b and c . c is how many years younger than a ?
Output: 12
Problem: the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 867 sq m , then what is the breadth of the rectangular plot ?
Output: 17 m', 'c ) 10 m', 'd ) 12 m', 'e ) 18 m'
Problem: in a fuel station the service costs $ 1.05 per car , every liter of fuel costs 0.6 $ . assuming that you fill up 3 mini - vans and 2 trucks , how much money will the fuel cost to all the cars owners total , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty - ?
Output: 293.85 $
Problem: how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 34 % iodine solution ?
Output: 13
Problem: a car runs 375 km in 3 hours . what ' s the car ' s speed ?
Output: 125
Problem: two men a and b working together complete a piece of work which it would have taken them respectively 12 and 18 days to complete if they worked separately . they received rs . 149.25 as their payment . find the share of a in the amount they received ?
Output: rs . 89.55
Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 3 : 1 . the ratio of economy cars to sport utility vehicles is 4 : 3 . what is the ratio of luxury cars to sport utility vehicles ?
Output: 4 : 9
Problem: the compound ratio of 7 : 6 , 3 : 2 and 4 : 5 ?
Output: 7 : 5
Problem: how many times digit 5 is used while writing numbers from 1 to 500 ?
Output: 10
Problem: there are 50 students in a class . if 14 % are absent on a particular day , find the number of students present in the class .
Output: 43
Problem: excluding stoppages , the speed of a train is 45 kmph and including stoppages it is 31 kmph . of how many minutes does the train stop per hour ?
Output: 18.6
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 2 breaks of equal length . if the two completed the job together in 2 hours , how many minutes long was each of ferris ’ breaks ?
Output: 15
Problem: 5358 x 71 = ?
Output: 38041
Problem: a swimmer can swim in still water at 4 km / h . if the speed of the water current is 1 km / h , how many hours will the swimmer take to swim against the current for 6 km ?
Problem: in a group of 90 students , 30 are taking history , and 32 are taking statistics . if 59 students are taking history or statistics or both , then how many students are taking history but not statistics ?
Output: 33
Problem: calculate how long it will take a swimmer to swim a distance of 12 km against the current of a river which flows at 1.2 km / hr , given that he can swim in still water at 5 km / h
Output: 3.16
Problem: the ratio of the volumes of two cubes is 1331 : 2197 . what is the ratio of their total surface areas ?
Output: 121 : 169
Problem: find the value of ( 100 + 20 / 90 ) × 90
Output: 902
Problem: a student chose a number , multiplied it by 2 , then subtracted 138 from the result and got 112 . what was the number he chose ?
Output: 125
Problem: a train which has 500 m long , is running 100 kmph . in what time will it cross a person moving at 10 kmph in same direction ?
Output: 20 sec
Problem: how many multiples of 3 are there between 15 and 246 ?
Output: 76
Problem: the area of a square land is a square feet and the perimeter is p feet . if 5 a = 10 p + 45 , what is the perimeter of the land , in feet ?
Output: 36', 'e ) 64'
Problem: a cube of edge 16 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ?
Output: 13.65 cm
Problem: find the value of ( 45 + 23 / 89 ) × 89
Output: 4028
Problem: the average age of father and his two sons is 24 years . 5 years ago , the average age of the two sons was 15 years . if the difference between the ages of the two sons is 4 years , what is the present age of the father ?
Output: 32
Problem: a caterer ordered 225 ice - cream bars and 125 sundaes . if the total price was $ 200.00 and the price of each ice - cream bar was $ 0.60 , what was the price of each sundae ?
Output: $ 0.52
Problem: what is the remainder when 3 ^ 26 is divided by 5 ?
Problem: 15.06 * 0.00001 = ?
Output: 0.0001506
Problem: a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 50 as remainder . find the no . is ?
Output: 22005
Problem: if p and q are prime numbers , how many divisors does the product p ^ 4 * q ^ 5 have ?
Output: 30
Problem: if 20 % of a number = 300 , then 120 % of that number will be ?
Output: 1800
Problem: a can do a work in 6 days , b can do a work in 8 days and c can do it in 12 days . b left work after 5 days . for how many number of days should a and c should work together to complete the remaining work ?
Output: 2 / 3
Problem: a contractor undertook to do a certain piece of work in 6 days . he employed certain number of men , but 5 of them being absent from the very first day , the rest could finish the work in 10 days . the number of men originally employed were :
Output: 10
Problem: a card game called “ high - low ” divides a deck of 52 playing cards into 2 types , “ high ” cards and “ low ” cards . there are an equal number of “ high ” cards and “ low ” cards in the deck and “ high ” cards are worth 2 points , while “ low ” cards are worth 1 point . if you draw cards one at a time , how many ways can you draw “ high ” and “ low ” cards to earn 7 points if you must draw exactly 5 “ low ” cards ?
Output: 6
Problem: one gear of pulley rotates at a speed of 3 rev / sec another gear roates at 5 rev / sec . if both start together after how many seconds will they be together again
Output: 15 sec
Problem: a group of n students can be divided into equal groups of 3 with 1 student left over or equal groups of 6 with 1 students left over . what is the sum of the two smallest possible values of n ?
Output: 8
Problem: one type of liquid contains 10 % of water and the second type of liquid contains 15 % of water . a glass is filled with 5 parts of 1 st liquid and 2 parts of 2 nd liquid . the percentage of water in the new mixture in the glass is ?
Output: 11.4 %
Problem: a cylindrical can has a radius of 3 centimeters and a height of 24 centimeters . what is the area , in square centimeters , of a rectangular label that completely covers the curved surface of the can without over - lapping ?
Output: 144 pi', 'e ) 576 pi'
Problem: mala and usha shared their water from a bottle . if mala and usha both drank for the same amount of time , but usha only drank 2 / 10 of the total bottle , what was the ratio of mala and usha speed ?
Output: 4 : 1
Problem: the floor of a rectangular room is 18 m long and 12 m wide . the room is surrounded by a veranda of width 2 m on all its sides . the area of the veranda is :
Output: 136 m 2
Problem: the average ( arithmetic mean ) of all scores on a certain algebra test was 90 . if the average of the 8 male students ’ grades was 84 , and the average of the female students ’ grades was 92 , how many female students took the test ?
Output: 2
Problem: a box contains 21 electric bulbs , out of which 4 are defective . two bulbs are chosen at random from this box . the probability that at least one of these is defective is
Output: 31 / 8
Problem: p , q and r together earn rs . 1710 in 9 days . p and r can earn rs . 600 in 5 days . q and r in 7 days can earn rs . 910 . how much amount does r can earn per day ?
Output: s . 60
Problem: simple interest on a certain sum at a certain annual rate of interest is 1 / 9 of the sum . if the numbers representing rate percent and time in years be equal , then the rate of interest is :
Output: 3 1 / 3
Problem: a dealer purchases 15 articles for rs . 25 and sells 12 articles for rs . 32 . find the profit percentage ?
Output: 60
Problem: a fraudulent dairy guy declares to market his dairy at price range but he combined it with water and therefore benefits 25 % . the percentage of water in the combination is :
Output: 20 %
Problem: 49 ã — 49 = 7 ^ ?
Output: 4
Problem: a batsman in his 12 th inning makes a score of 60 and their by increasing his average by 4 . what is his average after the 12 th inning ?
Output: 16
Problem: find the ones digit of 73 ^ 351
Output: 7
Problem: 5 is added to a certain number , the sum is multiplied by 7 , the product is divided by 5 and 5 is subtracted from the quotient . the remainder left is half of 66 . what is the number ?
Output: 22
Problem: john bought a shirt on sale for 25 % off the original price and another 25 % off the discounted price . if the final price was $ 17 , what was the price before the first discount ?
Output: $ 30.22
Problem: if a trader sold two cars each at rs . 325475 and gains 15 % on the first and loses 15 % on the second , then his profit or loss percent on the whole is ?
Output: 2.25
Problem: a cistern has a leak which would empty the cistern in 20 minutes . a tap is turned on which admits 5 liters a minute into the cistern , and it is emptied in 24 minutes . how many liters does the cistern hold ?
Output: 60
Problem: an investor can sell her microtron stock for 36 $ per share and her dynaco stock for 60 $ per share , if she sells 300 shares altogether , some of each stock , at an average price per share of 40 $ , how many shares of dynaco stock has she sold ?
Output: 50
Problem: in township k , 1 / 5 of the housing units are equipped with cable television . if 1 / 10 of the housing units , including 1 / 3 of those that are equipped with cable television , are equipped with videocassette recorders , what fraction of the housing units have neither cable television nor videocassette recorders ?
Output: 23 / 30
Problem: every letter in the alphabet has a number value that is equal to its place in the alphabet . thus , the letter a has a value of 1 , the letter b has a value of 2 , the letter c has a value of 3 , etc . . . the number value of a word is obtained by adding up the value of the letters in the word and then multiplying that sum by the length of the word . what is the number value of the word ` ` hen ' ' ?
Output: 8
Problem: it is the new year and mandy has made a resolution to lose weight this year . she plans to exercise and do yoga . for exercise she plans to workout at the gym and ride her bicycle in the ratio of 2 : 3 everyday . she will also do yoga in the ratio , yoga : exercise = 2 : 3 . if she rides her bike for 16 minutes , how much time will she spend doing yoga ? ( rounded to minutes )
Output: 27 min .
Problem: a cistern which could be filled in 8 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ?
Output: 40 hr
Problem: a train travels from new york to chicago , a distance of approximately 270 miles , at an average rate of 30 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 : 00
Problem: in a certain pond , 35 fish were caught , tagged , and returned to the pond . a few days later , 35 fish were caught again , of which 2 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 ` s the approximate number of fish in the pond ?
Output: 875
Problem: a sum fetched a total simple interest of rs . 4016.25 at the rate of 1 % p . a . in 9 years . what is the sum ?
Output: 44625
Problem: average expenditure of a person for the first 3 days of a week is rs . 320 and for the next 4 days is rs . 420 . average expenditure of the man for the whole week is :
Output: 360
Problem: a bookstore has a shelf that contains biographies which normally sell for $ 20 each and mysteries that normally sell for $ 12 each . during a sale , the biographies and mysteries are discounted at different rates so that a customer saves a total of $ 19 from the normal price by buying 5 discounted biographies and 3 discounted mysteries . if the sum of the discount rates for the two types of books is 30 percent , what is the discount rate on mysteries ?
Output: 17.18 %
Problem: three numbers are in the ratio 2 : 3 : 5 and their average is 50 . the largest number is :
Output: 75
Problem: in a certain school , the ratio of boys to girls is 5 to 13 . if there are 64 more girls than boys , how many boys are there ?
Output: 40
Problem: a computer manufacturer produces a certain electronic component at a cost of $ 80 per component . shipping costs for delivering the components are $ 3 per unit . further , the manufacturer has costs of $ 16,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 150 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ?
Output: $ 19
Problem: two cyclist start on a circular track from a given point but in opposite direction with speeds of 7 m / s and 8 m / s . if the circumference of the circle is 630 meters , after what time will they meet at the starting point ?
Output: 42 sec
Problem: calculate the sum of first 60 natural numbers .
Output: 1830
Problem: buffalo gives 4 liter milk , cow gives ( 1 / 2 ) liter milk and goat gives 1 / 4 liter milk . you have to get 20 liter milk by 20 animals . what is the number of goats ?
Output: 2
Problem: a batsman makes a score of 85 runs in the 11 th inning and thus increases his average by 5 . find his average after 11 th inning .
Output: 3
Problem: each of the three people individually can complete a certain job in 3 , 4 , and 6 hours , respectively . what is the lowest fraction of the job that can be done in 1 hour by 2 of the people working together at their respective rates ?
Output: 5 / 12
Problem: in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 80 per kg ?
Output: 4 : 3
Problem: if a man lost 4 % by selling oranges at the rate of 12 a rupee at how many a rupee must he sell them to gain 44 % ?
Output: 8
Problem: the pilot of a small aircraft with a 40 - gallon fuel tank wants to fly to cleveland , which is 480 miles away . the pilot recognizes that the current engine , which can fly only 6 miles per gallon , will not get him there . by how many miles per gallon must the aircraft ’ s fuel efficiency be improved to make the flight to cleveland possible ?
Output: 6
Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 70400 ?
Output: 89100
Problem: an empty fuel tank is filled with brand z gasoline . when the tank is 1 / 4 empty , it is filled with brand y gasoline . when the tank is half empty again , it is filled with brand z gasoline . when the tank is half empty again , it is filled with brand y gasoline . at this time , what percent of the gasoline in the tank is brand z ?
Output: 31.25 %
Problem: if a - b = 3 and a ( power 2 ) + b ( power 2 ) = 29 , find the value of ab .
Output: 10
Problem: in an election , candidate a got 55 % of the total valid votes . if 15 % of the total votes were declared invalid and the total numbers of votes is 560000 , find the number of valid vote polled in favor of candidate ?
Output: 261800
Problem: a 600 meter long train crosses a signal post in 30 seconds . how long will it take to cross a 3 kilometer long bridge , at the same speed ?
Output: 3 min
Problem: a certain number when divided by 39 leaves a remainder 20 , what is the remainder when the same number is divided by 13 ?
Output: 7
Problem: a sum fetched a total simple interest of $ 4196.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ?
Output: $ 892
Problem: if the sum of 5 consecutive even positive integers is a , then the sum of the next 5 even consecutive integers in terms of a is :
Output: a + 50
Problem: an escalator moves towards the top level at the rate of 12 ft . sec and its length is 196 feet . if a person walks on the moving escalator at the rate of 2 feet per second towards the top level , how much time does he take to cover the entire length .
Output: 14 sec
Problem: pipe a fills a tank in 12 minutes . pipe b can fill the same tank 3 times as fast as pipe a . if both the pipes are kept open when the tank is empty , how many minutes will it take to fill the tank ?
Output: 3 mins
Problem: a sum of rs . 2730 is lent into two parts so that the interest on the first part for 8 years at 3 % per annum may be equal to the interest on the second part for 3 years at 5 % per annum . find the second sum ?
Output: 1680
Problem: if the radius of a circle is decreased 60 % , what happens to the area ?
Output: 84 % decrease
Problem: the speed at which a man can row a boat in still water is 22 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 80 metres ?
Output: 11.53
Problem: on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with twice the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.70 per glass on the first day , what was the price per glass on the second day ?
Output: $ 0.4
Problem: if one - third of one - fourth of a number is 18 , then 3 - tenth of that number is : a . 35
Output: 64.8
Problem: during a certain season , a team won 75 percent of its first 100 games and 50 percent of its remaining games . if the team won 70 percent of its games for the entire season , what was the total number of games that the team played ?
Output: 12
Problem: if a number n is chosen at random from the set of two - digit integers whose digits are both prime numbers , what is the probability e that n is divisible by 3 ?
Output: 5 / 16
Problem: p , q and r together earn rs . 1890 in 9 days . p and r can earn rs . 600 in 5 days . q and r in 7 days can earn rs . 910 . how much amount does r can earn per day ?
Output: s . 40
Problem: the greatest number that divides 690 and 875 leaving remainders 10 and 25 respectively is :
Output: 170
Problem: a group of students was interviewed for that if it was asked whether or not they speak french and / or english . among those who speak french , 25 speak english well , while 65 of them do not speak english . if 55 % of students do not speak french , how many students were surveyed ?
Output: 200
Problem: a salesman sold twice as much pears in the afternoon than in the morning . if he sold $ 510 kilograms of pears that day , how many kilograms did he sell in the afternoon ?
Output: 340
Problem: find the sum of all 3 digit natural numbers , which are divisible by 8 .
Output: 61376
Problem: each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.65 % , what fraction of the products was checked by worker y ?
Output: 1 / 2
Problem: the radius of the two circular fields is in the ratio 4 : 10 the area of the second field is what percent greater than the area of the first ?
Output: 84 %', 'e ) 82 %'
Problem: a river 2 m deep and 45 m wide is flowing at the rate of 5 kmph the amount of water that runs into the sea per minute is ?
Output: 7500 m 3
Problem: if the range q of the 6 numbers 4 , 314 , 710 and x is 12 , what is the difference between the greatest possible value of x and least possible value of x ?
Output: 13
Problem: a person is traveling at 60 km / hr and reached his destiny in 4 hr . 30 m then find the distance ?
Output: 270 km
Problem: if 80 percent of a class answered the first question on a certain test correctly , 55 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ?
Output: 55
Problem: a train 300 m long can cross an electric pole in 20 sec and then find the speed of the train ?
Output: 54
Problem: a train is 385 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length
Output: 42 seconds
Problem: ifaequals the sum of the even integers from 2 to 20 , inclusive , andbequals the sum of the odd integers from 1 to 19 , inclusive , what is the value of a * b ?
Output: 11000
Problem: the distance between two cities a and b is 330 km . a train starts from a at 8 a . m . and travel towards b at 60 km / hr . another train starts from b at 9 a . m and travels towards a at 75 km / hr . at what time do they meet ?
Output: 11 a . m
Problem: in a garden , there are 10 rows and 12 columns of mango trees . the distance between the two trees is 2 m and a distance of one meter is left from all sides of the boundary of the length of the garden is :
Output: 480 sq mtrs
Problem: there are 10 stations between hyderabad and bangalore . how many second class tickets have to be printed , so that a passenger can travel from any station to any other station ?
Output: 132
Problem: total dinning bill of 9 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared .
Output: 16.98
Problem: find the length of the longest pole that can be placed in a room 12 m long 8 m broad and 9 m high .
Output: 1
Problem: find the average of first 4 multiples of 8 ?
Output: 20
Problem: if 9 ^ y = 3 ^ 14 , what is y ?
Problem: how many zeroes are there at the end of the number n , if n = 90 ! + 180 ! ?
Output: 21
Problem: ms . harris invested in fund x and fund b . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund x paid 23 % and fund b paid 17 % . the interest earned in fund b was exactly $ 200 greater than the interest earned in fund x . how much did ms . morris invest in fund x ?
Output: $ 42000
Problem: in a forest 150 deer were caught , tagged with electronic markers , then released . a week later , 50 deer were captured in the same forest . of these 50 deer , it was found that 10 had been tagged with the electronic markers . if the percentage of tagged deer in the second sample approximates the percentage of tagged deer in the forest , and if no deer had either left or entered the forest over the preceding week , what is the approximate number of deer in the forest ?
Output: 3,000
Problem: a 11 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?
Output: 6 / 11
Problem: if the price of a certain computer increased 30 percent from b dollars to 351 dollars , then 2 b =
Output: 540
Problem: vishal invested 10 % more than trishul . trishul invested 10 % less than raghu . if the total sum of their investments is rs . 5780 , how much amount did raghu invest ?
Output: 2000
Problem: how many seconds will a train 100 meters long take to cross a bridge 170 meters long if the speed of the train is 36 kmph ?
Output: 27 se
Problem: in a bus left side are 15 seats available , 3 few seats in right side because in rear exit door . each seat hold 3 people . in addition , there is a seat back can sit 12 people all together . how many people can sit in a bus ?
Output: 9
Problem: some persons can do a piece of work in 16 days . two times the number of these people will do half of that work in ?
Output: 4
Problem: stacy was 5 days late returning items to the library . stacy had checked out 40 books , 2 movies , and 3 magazines . books are fined $ 0.25 per day , movies are fined $ 3.00 per day , and magazines are fined $ 0.50 per day . what is the average fine per item per day stacy paid ?
Output: none of the abov
Problem: if an average hard drive had a capacity of 0.4 tb in 2000 , and average hard drive capacities double every 5 years , what will be the average hard drive capacity in 2050 ?
Output: 4096
Problem: in may , the grounds keeper at spring lake golf club built a circular green with an area of 36 π square feet . in august , he doubled the distance from the center of the green to the edge of the green . what is the total area of the renovated green ?
Output: 144 pi', 'c ) 70', 'd ) 80', 'e ) 90'
Problem: a house wife saved $ 5 in buying an item on sale . if she spent $ 48 for the item , approximately how much percent she saved in the transaction ?
Output: 10 %
Problem: a reduction of 20 % in the price of salt enables a lady to obtain 10 kgs more for rs . 200 , find the original price per kg ?
Output: s . 5
Problem: find the remainder when 6 ^ 50 is divided by 215
Output: 36
Problem: a train 140 m long is running at 60 kmph . in how much time wiu it pass a platform 260 m long ?
Output: 24 sec
Problem: the total marks obtained by a student in mathematics and physics is 50 and his score in chemistry is 20 marks more than that in physics . find the average marks scored in mathamatics and chemistry together .
Output: 35
Problem: a rectangular grassy plot 110 m . by 65 m has a gravel path 2.5 m wide all round it on the inside . find the cost of gravelling the path at 70 paise per sq . metre
Output: s 595
Problem: rahul played weel in this season . his current batting averagge is 46 . if he score 78 runs in today match . his batting average will become 54 . how many matches had he played in this season .
Output: 3
Problem: find the simple interest on rs . 69,000 at 16 2 / 3 % per year for 9 months .
Output: 8625
Problem: the sum of the present ages of two persons a and b is 60 . if the age of a is twice that of b , find the sum of their ages 7 years hence ?
Output: 74
Problem: malar and roja combined will complete a task in 35 days , but malar alone can complete same work in 60 days . calculate in how many days roja can complete this work ?
Output: 84 days
Problem: the measure of the side of a square is quadrupled . if x represents the perimeter of the original square , what is the value of the new perimeter ?
Output: 4 x', 'c ) 9 x', 'd ) 12 x', 'e ) 27 x'
Problem: tough and tricky questions : word problems . micheal , saren and donald decided to club together to buy a present . each of them gave equal amount of money . luckily saren negotiated a 20 % discount for the present so that each of them paid 4 dollars less . how much did they pay for a present ?
Output: 48
Problem: a train passes a station platform in 36 sec and a man standing on the platform in 25 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?
Output: 165
Problem: a club wants to mix 25 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound . how many pounds of the $ 5.00 per pound candy should be used ?
Output: 50
Problem: if pintu is coded as 79523 in a certain code language , how would you code lumbo in the same language ?
Output: 33426
Problem: a shopkeeper has 280 kg of apples . he sells 30 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total .
Output: 24 %
Problem: pradeep has to obtain 20 % of the total marks to pass . he got 390 marks and failed by 25 marks . the maximum marks are
Output: 2075
Problem: a grocer has a sale of rs . 5420 , rs . 5660 , rs . 6200 , rs . 6350 and rs . 6500 for 5 consecutive months . find the sale he should have in the sixth month , so that he gets an average sale of rs . 6500 ?
Output: rs . 8870
Problem: if 30 men take 15 days to to complete a job , in how many days can 25 men finish that work ?
Output: 18
Problem: if 7 a = 8 b and ab ≠ 0 , what is the ratio of a / 8 to b / 7 ?
Output: 1
Problem: an empty fuel tank is filled with brand z gasoline . when the tank is 3 / 4 empty , it is filled with brand y gasoline . when the tank is half empty again , it is filled with brand z gasoline . when the tank is half empty again , it is filled with brand y gasoline . at this time , what percent of the gasoline in the tank is brand z ?
Output: 43.75 %
Problem: what will be the fraction of 20 %
Output: 1 / 5
Problem: a cistern is filled by a tap in 6 1 / 2 hours . due to leak in the bottom of the cistern , it takes half an hour longer to fill the cistern . if the cistern is full how many hours will it take the leak to empty it ?
Output: 91
Problem: 3 candidates contested in an election and received 4136 , 7636 , 11628 votes respectively . what is the percentage of the total votes did the winning candidate get ?
Output: 50 %
Problem: in a hostel , the number of students decreased by 12 % and the price of food increased by 20 % over the previous year . if each student consumes the same amount of food then by how much should the consumption of food be cut short by every student , so that the total cost of the food remains the same as that of the previous year ?
Output: 5.3
Problem: if the radius of a cylinder is made 3 times and so is the height , what is the new volume of the cylinder divided by the old one ?
Output: 27 .
Problem: the sum of number of boys and girls in a school is 1150 . if the number of boys is x , then the number of girls becomes x % of the total number of students . the number of boys is ?
Output: 92
Problem: p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 35 days to complete the same work . then q alone can do it in
Output: 28
Problem: kim has 3 pairs of shoes ; each pair is a different color . if kim randomly selects 2 shoes without replacement from the 6 shoes , what is the probability that she will select 2 shoes of the same color ?
Output: 1 / 5
Problem: simplify : 3005 - 3000 + 10
Output: 2705
Problem: a sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 50 extra yellow balls and making ratio of white balls to yellow balls 8 / 15 . how many tennis balls did the retailer order originally .
Output: 114.28
Problem: when a merchant imported a certain item , he paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000 . if the amount of the import tax that the merchant paid was $ 94.50 , what was the total value of the item ?
Output: $ 2,350
Problem: how many numbers are divisible by both 2 and 3 up to 300 ?
Output: 50
Problem: the result when a number subtracted from 150 is the same as the number added to 68 . what is the number ?
Output: 109
Problem: the radius of a cylinder is 9 m , height 12 m . the volume of the cylinder is :
Output: 3054.9
Problem: how many numbers up to 300 and 700 are divisible by 2 , 3 and 7 both together ?
Output: 9
Problem: if x * y = xy – 2 ( x + y ) for all integers x and y , then 3 * ( – 3 ) =
Output: – 9
Problem: total 90 cows 30 cow gives each 2 liter milk 30 cow gives each 3 / 4 liter milk 30 cow gives each 1 / 4 liter milk this is split into 3 son per each 30 cows & 30 liter milk how ?
Output: 3
Problem: the ratio between the length and the breadth of a rectangular park is 1 : 3 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 8 min , then the area of the park ( in sq . m ) is ?
Output: 120000
Problem: the ratio of two quantities is incorrect when written as 10 to 14 . how should this ratio be written ?
Output: 5 : 7
Problem: cereal a is 11 % sugar by weight , whereas healthier but less delicious cereal b is 2 % sugar by weight . to make a delicious and healthy mixture that is 5 % sugar , what should be the ratio of cereal a to cereal b , by weight ?
Output: 1 : 2
Problem: in a family 16 people eat only vegetarian , 9 people eat only non veg . , 12 people eat both veg and non veg . . how many people eat veg in the family ?
Output: 28
Problem: if the price of sugar rises from rs . 10 per kg to rs . 11 per kg , a person , to have no increase in the expenditure on sugar , will have to reduce his consumption of sugar by
Output: 9 %
Problem: the sum of the even numbers between 1 and n is 85 * 86 , where n is an odd number , then n = ?
Output: 171
Problem: total dinning bill of 6 people was $ 139.00 and 10 % tip divided the bill evenly ? what is the bill amount each person shared .
Output: 25.4
Problem: in a t . v . factory , an average of 63 tvs are produced per day for the fist 25 days of the months . a few workers fellill for the next 5 daysreducing the daily avg for the month to 58 sets / day . the average production per day for day last 5 days is ?
Output: 33
Problem: a part - time employee ’ s hourly wage was increased by 25 % . she decided to decrease the number of hours worked per week so that her total income did not change . by approximately what percent should the number of hours worked be decreased ?
Output: 20 %
Problem: a man rows his boat 120 km downstream and 92 km upstream , taking 4 hours each time . find the speed of the stream ?
Output: 4 kmph
Problem: a student completes a 3 part exam as follows . the student completes sections a in 4 minutes and takes an equal time to complete the two remaining sections . what is the ratio of time spent on section c to section a if the total duration is 1 hour ?
Output: 7 : 1
Problem: a is twice as good a workman as b and they took 10 days together to do the work b alone can do it in .
Output: 30 days
Problem: which number can we add to 425897 to get a number exactly divisible by 456 ?
Output: 7
Problem: the speed at which a man can row a boat in still water is 9 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 60 metres ?
Output: 18 seconds
Problem: the roof of an apartment building is rectangular and its length is 3 times longer than its width . if the area of the roof is 588 feet squared , what is the difference between the length and the width of the roof ?
Output: 28 .
Problem: a train covers a distance of 12 km in 10 minutes . if it takes 8 seconds to pass a telegraph post , then the length of the train is
Output: 160 m
Problem: how many numbers from 15 to 65 are exactly divisible by 5 ?
Output: 10