niryuu/sni-each-converted huggingface dataset:
Problem: a multiple choice test consists of 4 questions , and each question has 5 answer choices . in how many r ways can the test be completed if every question is unanswered ?
Output: 625
Problem: a 3 - digit positive integer is chosen at random . what is the probability that the product of its digits is even ?
Output: 31 / 36
Problem: if x and y are positive integers and 7 + x + y + xy = 21 , what is the value of x + y ?
Output: 6
Problem: the hcf and lcm of two numbers m and n are respectively 6 and 210 . if m + n = 72 , then 1 / m + 1 / n is equal to
Output: 2 / 35
Problem: in a kilometer race , a beats b by 48 meters or 12 seconds . what time does a take to complete the race ?
Output: 238 sec
Problem: in a school of 650 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?
Output: 11
Problem: a can do a piece of work in 4 hours ; b and c together can do it in 3 hours , while a and c together can do it 2 hours . how long will b alone take to do it ?
Output: 12 hours
Problem: in a group of 160 people , 90 have an age of more 30 years , and the others have an age of less than 20 years . if a person is selected at random from this group , what is the probability the person ' s age is less than 20 ?
Output: 0.44
Problem: an art gallery has only paintings and sculptures . currently , 1 / 3 of the pieces of art are displayed , and 1 / 6 of the pieces on display are sculptures . if 1 / 3 of the pieces not on display are paintings , and 800 sculptures are not on display , how many pieces of art does the gallery have ?
Output: 1800
Problem: if x and y are integers and | x - y | = 10 , what is the minimum possible value of xy ?
Output: - 25
Problem: two trains , one from howrah to patna and the other from patna to howrah , start simultaneously . after they meet , the trains reach their destinations after 25 hours and 16 hours respectively . the ratio of their speeds is ?
Output: 4 : 5
Problem: one copy machine can make 20 copies a minute , and a second copy machine makes 10 copies a minute . if the two copiers work together , how long would it take them to make 900 copies ?
Output: 30 minutes
Problem: at what rate of compound interest per annum will a sum of rs . 1200 become rs . 1348.32 in 2 years ?
Output: 6 %
Problem: in the first 10 overs of a cricket game , the run rate was only 6.2 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?
Output: 5.5
Problem: given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] + 2 = f ( 3 x – 6 )
Output: 5
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 135 miles to her detination . what was the total distance , in miles from maria ' s starting point to her destination ?
Output: 360
Problem: 5 , 11 , 23 , 41 , 64 , _
Output: 95
Problem: the smallest number which when diminished by 6 , is divisible 12 , 14 , 16 , 18 and 22 is :
Output: 11094
Problem: 3 pumps , working 8 hours a day , can empty a tank in 2 days . how many hours a day must 15 pumps work to empty the tank in 1 day ?
Output: 3.5
Problem: a and b go around a circular track of length 600 m on a cycle at speeds of 36 kmph and 54 kmph . after how much time will they meet for the first time at the starting point ?
Output: 120
Problem: if x and y are integers and 2 x – y = 11 , then 4 x + y can not be
Output: 17
Problem: the ratio of ducks and frogs in a pond is 37 : 39 respectively . the average number of ducks and frogs in the pond is 132 . what is the number of frogs in the pond ?
Output: 134
Problem: calculate the circumference of a circular field whose radius is 7 centimeters .
Output: 14 π c
Problem: a certain car can travel 32 kilometers on a liter of fuel . if the fuel tank ’ s contents decrease by 3.9 gallons over a period of 5.7 hours as the car moves at a constant speed , how fast is the car moving , in miles per hour ? ( 1 gallon = 3.8 liters ; 1 mile = 1.6 kilometers )
Output: 52
Problem: a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did c get in a profit of rs . 2430 ?
Output: s . 486
Problem: the ratio of the number of females to males at a party was 1 : 2 but when 7 females and 7 males left , the ratio became 1 : 3 . how many people were at the party originally ?
Output: 42
Problem: the compound ratio of 5 : 6 , 3 : 2 and 4 : 5 is ?
Output: 1 : 1
Problem: a woman complete a journey in 20 hours . she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km .
Output: 448 km .
Problem: find the compound interest on $ 1200 for 6 years at 20 % p . a . if ci is component yearly ?
Output: $ 2383
Problem: you need to unlock a secret code using following clues , can you ? here you have the clues : clue - 1 : 0 7 9 ( one of the numbers is correct and is placed in its correct position ) clue - 2 : 0 3 2 ( nothing is correct ) clue - 3 : 1 0 8 ( two numbers are correct but not placed at its correct position . ) clue - 4 : 9 2 6 ( one number is correct but not placed at its correct position . ) clue - 5 : 6 7 8 ( one number is correct but not placed at its correct position . )
Output: 819
Problem: two positive integers differ by 4 , and sum of their reciprocals is 2 . then one of the numbers is
Output: 2
Problem: set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 7 , while all other numbers remain the same , what is the new average of set s ?
Output: 6.
Problem: if p ( a ) = 1 / 5 and p ( b ) = 2 / 5 , find p ( a n b ) if a and b are independent events .
Output: 2 / 25
Problem: a train is 320 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length ?
Output: 36.8 second
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 x digit of ( a + 2 ) ^ 2 ?
Output: 1
Problem: by the how much is two - fifth of 300 greater than 3 - fifths of 125 ?
Output: 45
Problem: a collection of books went on sale , and 2 / 3 of them were sold for $ 3.50 each . if none of the 40 remaining books were sold , what was the total amount received for the books that were sold ?
Output: $ 280
Problem: excluding stoppages , the speed of a train is 60 kmph and including stoppages it is 40 kmph . of how many minutes does the train stop per hour ?
Output: 2
Problem: an error 10 % in excess is made while measuring the side of a square . now what is the percentage of error in the calculated area of the square ?
Output: 21 %
Problem: the perimeter of a rhombus is 68 cm and one of its diagonals is 16 cm . find its area ?
Output: 240
Problem: if b is the center of the circle in the figure above and the area of the shaded region is 16 π , what is the length of arc adc ?
Output: 4 π', 'c ) 16', 'd ) 8 π', 'e ) 16'
Problem: in my , xiang sold 15 used cars . for these 15 used cars the range of selling prices was 15000 and the lowest selling price was 4500 . in june , xiang sold 10 cars . for these 10 cars the range of selling was 16000 and the lowest selling price was 5000 . what was the range of selling prices for the 25 used car sold by xiang in may and june ?
Output: 16,820
Problem: if 2 a = 3 b and ab ≠ 0 , what is the ratio of a / 3 to b / 2 ?
Output: 1
Problem: each digit 1 through 5 is used exactly once to create a 5 - digit integer . if the 3 and the 4 can not be adjacent digits in the integer , how many 5 - digit integers are possible ?
Output: 72
Problem: in a 200 m race , a beats b by 20 m and c by 38 m . in a race of 600 m b will beat c by
Output: 60
Problem: in what time will a train 120 m long cross an electric pole , it its speed be 121 km / hr ?
Output: 3.6
Problem: at a recent small town election for mayor a total of 963 votes were cast for the 4 candidates , the winner exceding his opponents by 53 , 79 and 105 votes , respectively . how many votes were cast for each candidate ?
Output: 195
Problem: a customer went to a shop and paid a total of $ 30 , out of which 90 cents was for sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?
Output: $ 14.10
Problem: in a certain pond , 50 fish were caught , tagged , and returned to the pond . a few days later , 50 fish were caught again , of which 5 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what is the approximate number of fish in the pond ?
Output: 500
Problem: tickets numbered 1 to 20 are mixed up and then a ticket is drawn at random . what is the probability taht the ticket drawn has a number which is a multiple of 3 or 5 ?
Output: 9 / 20
Problem: together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many q hours would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ?
Output: 44 hours
Problem: rectangular floors x and y have equal area . if floor x is 10 feet by 18 feet and floor y is 9 feet wide , what is the length of floor y , in feet ?
Output: 20', 'c ) 18 3 / 4', 'd ) 21', 'e ) 24'
Problem: find the product of the localvalue and absolutevalue of 6 in 20618 ?
Output: 360
Problem: a distributor sells a product through an online store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 18 per item . what is the price that the buyer observers online if the distributor wants to maintain a 20 % profit on the cost of the item ?
Output: $ 27
Problem: the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 47 kg , then the weight of b is :
Output: 39 kg
Problem: 6 women can do 75 units of work in 8 days by working 5 hrs / day . in how many days can 4 women do 30 units of work by working 8 hrs / day ?
Output: 3 days
Problem: the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 18 minutes is :
Output: 7.5
Problem: michelle deposited a certain sum of money in a savings account on july 1 st , 2007 . she earns an 14 % interest compounded semiannually . the sum of money in the account on december 31 st , 2009 is approximately what percent of the initial deposit ?
Output: 138 %
Problem: the average of the marks of 30 students in a class is 45 . if the marks of each student are doubled , find the new average ?
Output: 90
Problem: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 25 percent of all votes cast . approximately what percent of the remaining votes would he need to have received in order to have won at least 50 percent of all the votes cast ?
Output: 33
Problem: a certain company expects quarterly earnings of $ 0.80 per share of stock , half of which will be distributed as dividends to shareholders while the rest will be used for research and development . if earnings are greater than expected , shareholders will receive an additional $ 0.04 per share for each additional $ 0.10 of per share earnings . if quarterly earnings are $ 1.10 per share , what will be the dividend paid to a person who owns 100 shares of the company ' s stock ?
Output: $ 52
Problem: the price of precious stone is directly proportional to square of its weight . what will be the loss incurred if a stone weighing 28 gm and costing 28,000 breaks into two pieces whose weights are in the ratio 15 : 13 ?
Output: 14,00
Problem: roy is now 6 years older than julia and half of that amount older than kelly . if in 4 years , roy will be twice as old as julia , then in 4 years what would be roy ’ s age multiplied by kelly ’ s age ?
Output: 10
Problem: what is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad
Output: 814
Problem: x starts a business with rs . 45000 . y joins in the business after 4 months with rs . 30000 . what will be the ratio in which they should share the profit at the end of the year ?
Output: 9 :
Problem: a salesperson received a commission of 3 percent of the sale price for each of the first 100 machines that she sold and 4 percent of the sale price for each machine that she sold after the first 100 . if the sale price of each machine was $ 10,000 and the salesperson received a $ 38,000 commission , how many machines did she sell ?
Output: 12
Problem: a certain city with a population of 192,000 is to be divided into 11 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district what is the minimum possible population that the least populated district could have ?
Output: b ) 16,000
Problem: the mean of 50 observations was 36 . it was found later an observation 48 was wrongly taken as 23 . the corrected new means is :
Output: 36.5
Problem: there are 750 male and female participants in a meeting . half the female participants and one - quarterof the male participants are democrats . one - third of all the participants are democrats . how many of the democrats are female ?
Output: 125
Problem: in 2 triangle , the ratio of the areas is 4 : 3 and that of their heights is 3 : 4 . find the ratio of their bases ?
Output: 16 : 9
Problem: in what ratio must water be mixed with milk to gain 16 2 / 3 % on selling the mixture at cost price ?
Output: 1 : 6
Problem: 9 friends decided to divide the hotel bill evenly . if the bill was $ 124.15 dollars , how much money did they pay if 1 cent is the smallest unit ?
Output: $ 124.11
Problem: on sunday , bill ran 4 more miles than he ran on saturday . julia did not run on saturday , but she ran twice the number of miles on sunday that bill ran on sunday . if bill and julia ran a total of 36 miles on saturday and sunday , how many miles did bill run on sunday ?
Output: 1
Problem: in a room with 8 people , 5 people have exactly 1 friend in the room and 4 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship , i . e . if jane is paul ' s friend , paul is jane ' s friend ) . if two individuals are selected from the room at random , what is the probability that those two individuals are not friends ?
Output: 25 / 2
Problem: the radius of a wheel is 22.4 cm . what is the distance covered by the wheel in making 2000 resolutions ?
Output: 2816 m
Problem: find the smallest number which should be multiplied with 560 to make it a perfect square .
Output: 3
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 300 envelopes
Output: 5 minutes
Problem: the sum of first 45 natural numbers is ?
Output: 1035
Problem: vehicle x is 22 miles ahead of vehicle y , which is traveling the same direction along the same route as vehicle x . if vehicle x is traveling at an average speed of 36 miles per hour and vehicle y is traveling at an average speed of 45 miles per hour , how long will it take vehicle y to overtake and drive 23 miles ahead of vehicle x ?
Output: 5 hours
Problem: in the storage room of a certain bakery , the ratio of sugar to flour is 5 to 5 , and the ratio of flour to baking soda is 10 to 1 . if there were 60 more pounds of baking soda in the room , the ratio of flour to baking soda would be 8 to 1 . how many pounds of sugar are stored in the room ?
Output: 240
Problem: the average weight of 8 person ' s increases by 3 kg when a new person comes in place of one of them weighing 70 kg . what might be the weight of the new person ?
Output: 94 kg
Problem: a worker is paid a regular rate of rs . 10 for completing a survey . the worker completes 50 surveys per week . for any survey involving the use of her cellphone , she is paid at a rate of that is 30 % higher than her regular rate . if she completed 35 surveys involving the use of her cellphone , how much did she get that week ?
Output: 605
Problem: the dimensions of a room are 25 feet * 15 feet * 12 feet . what is the cost of white washing the four walls of the room at rs . 10 per square feet if there is one door of dimensions 6 feet * 3 feet and three windows of dimensions 4 feet * 3 feet each ?
Output: s . 9060
Problem: a take twice as much time as b or thrice as much time to finish a piece of work . working together , they can finish the work in 7 days . b can do the work alone in ?
Output: 42
Problem: right triangle abc is to be drawn in the xy - plane so that the right angle is at a and ab is parallel to the y - axis . if the x - and y - coordinates of a , b , and c are to be integers that are consistent with the inequalities - 3 ≤ x ≤ 2 and 4 ≤ y ≤ 9 , then how many different triangles can be drawn that will meet these conditions ?
Output: 432
Problem: the ratio between the length and the breadth of a rectangular park is 3 : 2 . if a man cycling along the boundary of the park at the speed of 12 km / hr completes one round in 7 minutes , then the area of the park ( in sq . m ) is
Output: 11760
Problem: a man can swim in still water at 4.5 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ?
Output: 1.5
Problem: 0.99998 + 0.11112 = ?
Output: 1.1111
Problem: there are 2 red chips and 3 blue ones . when arranged in a row , they form a certain color pattern , for example rbrrb . how many color patterns ?
Output: e ) 10
Problem: in a race of 1000 m , a can beat by 100 m , in a race of 800 m , b can beat c by 100 m . by how many meters will a beat c in a race of 700 m ?
Output: 148.75 m
Problem: ifaequals the sum of the even integers from 2 to 120 , inclusive , andbequals the sum of the odd integers from 1 to 119 , inclusive , what is the value of a - b ?
Output: 60
Problem: the cost of registration at a professional association meeting was $ 50 per person ; a lunch for registrants only was available for an additional $ 22 per person . if the number of registrants who paid for lunch was 10 more than the number who did not , and if receipts for registration and lunch totaled $ 61720 , how many people paid just for registration at the meeting ?
Output: 500
Problem: at what price must an article costing rs . 47.50 be marked in order that after deducting 7 % from the list price . it may be sold at a profit of 25 % on the cost price ?
Output: 63.84
Problem: in may mrs lee ' s earnings were 50 percent of the lee family ' s total income . in june mrs lee earned 20 percent more than in may . if the rest of the family ' s income was the same both months , then , in june , mrs lee ' s earnings were approximately what percent of the lee family ' s total income ?
Output: 55
Problem: what is 30 % of 80 ?
Output: 24
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 , 80 percent of books that were loaned out are returned and there are 69 books in the special collection at that time , how many books of the special collection were loaned out during that month ?
Output: 30
Problem: if an object travels 300 feet in 6 seconds , what is the object ' s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )
Output: 3
Problem: there are 9 baskets numbered from 1 to 9 and filled with apples . 10 children are asked to pick apples one by one from each basket such that the number of apples picked by each child from each basket is equal to the number marked on the basket . if there were 1000 apples in total and the baskets were filled in such a way that none of the basket became empty in the process , how many apples were left in the end ?
Output: 550
Problem: in a sports club with 80 members , 48 play badminton and 46 play tennis and 7 do not play either . how many members play both badminton and tennis ?
Output: 21', 'c ) 20', 'd ) 26', 'e ) 27'
Problem: in a fuel station the service costs $ 2.10 per vehicle and every liter of fuel costs $ 0.60 . assuming that you fill up 3 mini - vans and 2 trucks , what will be the total cost , if a mini - van ' s tank is 65 liters and a truck ' s tank is 120 % bigger and they are all empty ?
Output: $ 299.1
Problem: what is the ratio of 3 / 7 to the product 3 * ( 7 / 3 ) ?
Output: 3 : 4
Problem: ( 212 + 222 + 232 + . . . + 302 ) = ?
Output: 2570
Problem: a train of length 250 m crosses a bridge of length 150 m in 20 seconds . what is the speed of train ?
Output: 7
Problem: half a number plus 7 is 17 . what is the number ?
Output: 2
Problem: how much interest will $ 8,000 earn in 9 months at an annual rate of 6 % ?
Output: $ 360
Problem: if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 343 , what is the common ratio of the g . p ?
Output: 7
Problem: bert and rebecca were looking at the price of a condominium . the price of the condominium was 50 % more than bert had in savings , and separately , the same price was also 25 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings .
Output: 5 :
Problem: a shopkeeper sells 500 metres of cloth for rs . 18000 at a loss of rs . 5 per metre . find his cost price for one metre of cloth ?
Output: 4
Problem: the difference of two numbers is 1565 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder . what is the smaller number ?
Output: e ) 31
Problem: how many even number in the range between 15 to 100 inclusive are not divisible by 3
Output: 29
Problem: the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 7 per metre approximately
Output: 10400
Problem: a confectioner decides to sell all of his pastry due to the coming holiday . his pastry goods are equally divided among a group of 50 regular customers . if only 49 customers come to the bakery , each one will receive 6 less pastry goods . how much pastry does the confectioner needs to sell ?
Output: 500 .
Problem: if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of 2 m + n ?
Output: 3
Problem: tabby is training for a triathlon . she swims at a speed of 1 mile per hour . she runs at a speed of 7 miles per hour . she wants to figure out her average speed for these two events . what is the correct answer for her ?
Output: 4 mph
Problem: a train of 25 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 1.0 km long ?
Output: 2.5
Problem: jerome anticipated that the webweb . com stock price would fall and sold all his webweb . com stocks for $ 5 per stock . he paid $ 10,000 tax on the revenue . a week later , jerome became convinced that the webweb . com stock price would rise , and he used the money that he had gotten from selling the webweb . com stocks to purchase them again , this time at $ 6 per stock . if jerome ended up having 7000 webweb . com stocks fewer than the number he had before selling them , how many webweb . com stocks did he have originally ?
Output: 17,000
Problem: find the principle on a certain sum of money at 9 % per annum for 2 2 / 5 years if the amount being rs . 1120 ?
Output: 921.0
Problem: if 40 % of a number is equal to two - third of another number , what is the ratio of first number to the second number .
Output: 5 : 3
Problem: vijay lent out an amount rs . 10000 into two parts , one at 8 % p . a . and the remaining at 10 % p . a . both on simple interest . at the end of the year he received rs . 890 as total interest . what was the amount he lent out at 8 % pa . a ?
Output: 5500
Problem: a man whose bowling average is 12.4 , takes 5 wickets for 26 runs and there by decreases his average by 0.4 . the number of wickets taken by him before his last match is ?
Output: 85
Problem: anand finishes a work in 7 days , bittu finishes the same job in 8 days and chandu in 6 days . they take turns to finish the work . anand on the first day , bittu on the second and chandu on the third day and then anand again and so on . on which day will the work get over ?
Output: 7 th
Problem: if the product of two numbers is 45276 and their h . c . f . is 22 , find their l . c . m .
Output: 2058
Problem: a person saved $ 10 in buying an item on sale . if he spent $ 500 for the item , approximately how much percent he saved in the transaction ?
Output: 2 %
Problem: okeydokey paid 5 apples at the apple investment booth for an unopened box of earthworms . artichokey paid 7 apples towards the same lot . the booth pays off earthworms proportional to the apples invested . the box turned out to contain 60 earthworms . how many of them should okeydokey receive ?
Output: 25
Problem: a glass was filled with 10 ounces of water , and 0.01 ounce of the water evaporated each day during a 20 - day period . what percent of the original amount of water evaporated during this period ?
Output: 2 %
Problem: a certain store sells all maps at one price and all books at another price . on monday the store sold 10 maps and 8 books for a total of $ 22.00 , and on tuesday the store sold 20 maps and 15 books for a total of $ 60.00 . at this store , how much less does a map sell for than a book ?
Output: $ - 5.4
Problem: a 64 gallon solution of salt and water is 10 % salt . how many gallons of water must be added to the solution in order to decrease the salt to 8 % of the volume ?
Output: 1
Problem: a gambler bought $ 5,000 worth of chips at a casino in denominations of $ 20 and $ 100 . that evening , the gambler lost 16 chips , and then cashed in the remainder . if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ?
Output: $ 4,120
Problem: in the coordinate plane , line a has a slope of - 2 and an x - intercept of 2 . line b has a slope of 5 and a y - intercept of - 10 . if the two lines intersect at the point ( a , b ) , what is the sum a + b ?
Output: 2
Problem: for any positive integer n , the sum of the first n positive integers equals n ( n + 1 ) / 2 . what is the sum of all the integers between 100 and 200 ?
Output: 5050
Problem: a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 50 days starting with sunday is
Output: 171
Problem: there are 200 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ?
Output: 100
Problem: 387 x 387 + 114 x 114 + 2 x 387 x 114 = ?
Output: 251001
Problem: if a and b are the roots of the equation x 2 - 9 x + 9 = 0 , then the value of a 2 + b 2 is :
Output: 63
Problem: a light has a rating of 80 watts , it is replaced with a new light that has 25 % higher wattage . how many watts does the new light have ?
Output: 10
Problem: in the class of 40 students , 30 speak hindi and 20 speak english . what is the lowest possible number of students who speak both the languages ?
Output: 10
Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 30 % respectively . if the vodkas are mixed in equal ratio and the individual profit percent on them are increased by 4 / 3 and 5 / 3 times respectively , then the mixture will fetch the profit of
Output: 30 %
Problem: if k is an integer and 0.00010101 x 10 ^ k is greater than 100 , what is the least possible value of k ?
Output: 6
Problem: how many numbers from 10 to 50 are exactly divisible by 3 .
Output: 13
Problem: the ratio of laxmi ' s age to the age of her mother is 3 : 11 . the difference of their ages is 24 years . the ratio of their ages after 3 years will be ?
Output: 1 : 3
Problem: what is the total number of integers between 10 and 50 that are divisible by 2 ?
Output: 19
Problem: company x provides bottled water to its employees in 10 liter bottles , $ 2 each . at least how many 10 l bottles must company x buy monthly , so that new contract with $ 50 fixed monthly rate and $ 1 for 50 l bottle each paid off ? ( assume that no other costs apply )
Output: 28
Problem: solution y is 30 percent liquid x and 70 percent water . if 2 kilograms of water evaporate from 6 kilograms of solution y and 2 kilograms of solution y are added to the remaining 4 kilograms of liquid , what percent of this new solution is liquid x ?
Output: 40 %
Problem: 10 % people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 3312 , how much was it in the beginning ?
Output: e ) 460
Problem: a is twice as good a workman as b and they took 11 days together to do the work b alone can do it in .
Output: 33 day
Problem: 160 % of 5 / 8 =
Output: 1.
Problem: what is the sum of all the multiples of 9 between 0 and 99 ?
Output: 594
Problem: if the price of 357 apples is rs . 1517.25 , what will be the approximate price of 49 dozens of such apples ?
Output: rs . 2500
Problem: in the first 10 overs of a cricket game , the run rate was only 3.8 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?
Output: 6.1
Problem: a person buys an article at rs . 480 . at what price should he sell the article so as to make a profit of 24 % ?
Output: 595
Problem: what is the median of a set of consecutive integers if the sum of nth number from the beginning and nth number from the end is 110 ?
Output: 55
Problem: roses can be purchased individually for $ 6.30 , one dozen for $ 36 , or two dozen for $ 50 . what is the greatest number of roses that can be purchased for $ 680 ?
Output: 316
Problem: the sub - duplicate ratio of 25 : 49 is
Output: 5 : 7
Problem: a man walking at a rate of 10 km / hr crosses a bridge in 24 minutes . the length of the bridge is ?
Output: 4000
Problem: find the ratio in which rice at rs . 7.10 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg ?
Output: 3 : 4
Problem: 11 : 35 : : 17 : ?
Output: 10
Problem: a class consists of 15 biology students and 10 chemistry students . if you pick two students at the same time , what ' s the probability that one is maths and one is chemistry ?
Output: 1 / 2
Problem: an aeroplane covers a certain distance of 420 kmph in 6 hours . to cover the same distance in 4 2 / 3 hours , it must travel at a speed of
Output: 540
Problem: jane and thomas are among the 8 people from which a committee of 4 people is to be selected . how many different possible committees of 4 people can be selected from these 8 people if at least one of either jane or thomas is to be selected ?
Output: 55
Problem: the average mark of the students of a class in a particular exam is 80 . if 8 students whose average mark in that exam is 20 are excluded , the average mark of the remaining will be 90 . find the number of students who wrote the exam .
Output: 5
Problem: what is the smallest integer k for which 64 ^ k > 4 ^ 17 ?
Output: 6
Problem: a rectangular swimming pool is 20 feet by 18 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 624 square feet . what is the width of the deck ?
Output: 3
Problem: what is the least integer greater than 0 + 0.5 ?
Output: 1
Problem: two diagonals of a rhombus are 72 cm and 30 cm respectively . what is its perimeter ?
Output: 156 cm', 'c ) 144 cm', 'd ) 121 cm', 'e ) 126 cm'
Problem: to fill a tank , 25 buckets of water is required . how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 3 / 10 of its present ?
Output: 83.333
Problem: one side of a rectangular field is 14 m and one of its diagonal is 17 m . find the area of the field .
Output: 134.4
Problem: a hiker walking at a constant rate of 4 kilometers per hour is passed by a cyclist travelling in the same direction along the same path at a constant rate of 24 kilometers per hour . the cyclist stops and waits for the hiker 5 minutes after passing her while the hiker continues to walk at her constant rate . how many minutes must the cyclist wait until the hiker catches up ?
Output: 25
Problem: the average weight of 29 students is 28 kg . by the admission of a new student , the average weight is reduced to 27.1 kg . the weight of the new student is
Output: 1 kg
Problem: what will be in unit ' s place digit of 3 to the power 34 .
Problem: a group of 8 friends want to play doubles tennis . how many different ways can the group be divided into 4 teams of 2 people ?
Output: 10
Problem: a retail appliance store priced a video recorder at 20 percent above the wholesale cost of $ 200 . if a store employee applied the 10 percent employee discount to the retail price to buy the recorder , how much did the employee pay for the recorder ?
Output: $ 216
Problem: an optometrist charges $ 150 per pair for soft contact lenses and $ 85 per pair for hard contact lenses . last week she sold 5 more pairs of soft lenses than hard lenses . if her total sales for pairs of contact lenses last week were $ 1,455 , what was the total number of pairs of contact lenses that she sold ?
Output: 11
Problem: it costs $ 5 for the first 1 / 3 hour to use the laundry machine at the laundromat . after the first ¼ hour it costs $ 12 per hour . if a certain customer uses the laundry machine for 2 hours and 30 minutes , how much will it cost him ?
Output: $ 31 .
Problem: a computer is programmed to multiply consecutive even integers 2 * 4 * 6 * 8 * … * n until the product is divisible by 1881 , what is the value of n ?
Output: 114
Problem: 2,7 , 17,3 , 11,19 , 5,13 , __
Output: 23
Problem: if 8 workers can build 8 cars in 8 days , then how many days would it take 4 workers to build 4 cars ?
Output: 8
Problem: in 10 years , a will be twice as old as b was 10 years ago . if a is now 9 years older than b , the present age of b is
Output: 39 years
Problem: if 50 apprentices can finish a job in 4 hours , and 30 journeymen can finish the same job in 8 hours , how much of the job should be completed by 10 apprentices and 15 journeymen in one hour ?
Output: 9 / 80
Problem: two ships are sailing in the sea on the two sides of a lighthouse . the angle of elevation of the top of the lighthouse is observed from the ships are 30 º and 45 º respectively . if the lighthouse is 100 m high , the distance between the two ships is :
Output: 273 m
Problem: in a class , 5 people like baseball and football , 2 people only like baseball , 3 people only like football , and 6 people like neither . how many people are in the class ?
Output: 16', 'd ) 20', 'e ) 22'
Problem: how many bricks , each measuring 25 cm x 11.25 cm x 6 cm , will be needed to build a wall of 8.5 m x 6 m x 22.5 cm ?
Output: 680
Problem: given that p is a positive even integer with a positive units digit , if the units digit of p ^ 3 minus the units digit of p ^ 2 is equal to 0 , what is the units digit of p + 4 ?
Output: 10
Problem: a palindrome is a number that reads the same forward and backward , such as 196 . how many odd , 4 - digit numbers are palindromes ?
Output: 90
Problem: the profit obtained by selling an article for rs . 56 is the same as the loss obtained by selling it for rs . 42 . what is the cost price of the article ?
Output: rs . 49
Problem: what is the maximum number of points that 10 circles of different radii intersect ?
Output: 90
Problem: an 80 - liter solution of cool - drink is made from 10 % jasmine water . if 5 liters of jasmine and 15 liters of water were added to the solution , what percent of the solution is jasmine ?
Output: 13 %
Problem: an error 3 % in excess is made while measuring the side of a square . the percentage of error in the calculated area of the square is
Output: 6.09
Problem: share rs . 6600 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ?
Output: 2200
Problem: the cash realised on selling a 14 % stock is rs . 105.25 , brokerage being 1 / 4 % is ?
Output: 105
Problem: there are 6 boxes numbered 1 , 2 , … , . 6 . each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered . the total number of ways in which this can be done is
Output: 21
Problem: a tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume . if 2,500 gallons of water evaporate from the tank , the remaining solution will be approximately what percent sodium chloride ?
Output: 6.67 %
Problem: a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did a get in a profit of rs . 2490 ?
Output: rs . 830
Problem: the area of an isosceles trapezoid with sides of length 5 and bases of length 9 and 15 is ?
Output: 48
Problem: a train covers a distance at a speed of 240 kmph in 5 hours . to cover the same distance in 5 / 3 hours , it must travel at a speed of ?
Output: 720
Problem: each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 25 - ounce cans or 15 - ounce cans of chili paste . if the restaurant must order 40 more of the smaller cans than the larger cans to fulfill its weekly needs , then how many larger cans are required to fulfill its weekly needs ?
Output: 60
Problem: a 270 metres long bullet train running at the speed of 120 kmph crosses another bullet train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other bullet train ?
Output: 230
Problem: winson traveled the entire 60 miles trip . if he did the first 10 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 48 miles per hour , what is the his average speed , in miles per hour ?
Output: 40 mp
Problem: a pet store holds cats and dogs . if the difference between the number of cats and the number of dogs is 7 . what could be the ratio of cats to dogs in the pet store ?
Output: 28 : 35
Problem: a train running at the speed of 60 km / hr crosses a pole in 18 seconds . find the length of the train ?
Output: 300 meter
Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 13 and 14 . the larger of the two numbers is :
Output: 322
Problem: 60 is subtracted from 50 % of a number , the result is 10 . find the number ?
Output: 120
Problem: 80 is divided into two parts in such a way that seventh part of first and ninth part of second are equal . find the smallest part ?
Output: 35
Problem: the value of ( . 02 ) 2 + ( 0.52 ) 2 + ( 0.035 ) 2 / ( 0.002 ) 2 + ( 0.052 ) 2 + ( 0.0035 ) 2
Output: 100
Problem: how much time does a train 160 metres long running at 72 km / hr take to pass a pole ?
Output: 8 s
Problem: a certain company had a total annual expenditure of 1.26 ∗ 10 ^ 7 on employee salaries last year . if the company employed 420 people , what was the average employee salary ?
Output: $ 30,000
Problem: when the positive integer k is divided by the positive integer n , the remainder is 11 . if k / n = 61.2 , what is the value of n ?
Output: 65
Problem: what is the remainder when 3 ^ 25 is divided by 5 ?
Output: 3
Problem: two trains of length 100 m and 200 m are 100 m apart . they start moving towards each other on parallel tracks , at speeds 36 kmph and 72 kmph . in how much time will the trains cross each other ?
Output: 40 / 3
Problem: find the smallest 4 - digit number which is a multiple of 112 .
Output: 1008
Problem: on june 1 a bicycle dealer noted that the number of bicycles in stock had decreased by 3 for each of the past 5 months . if the stock continues to decrease at the same rate for the rest of the year , how many fewer bicycles will be in stock on september 1 than were in stock on january 1 ?
Output: 24
Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 5 students is 14 years and that of the other 9 students is 16 years , the age of the 15 th student is
Output: 11
Problem: the sale price of a trolley bag including the sale tax is rs . 560 . the rate of sale tax is 12 % . if the shopkeeper has made a profit of 25 % , the cost price of the trolley bag is :
Output: rs 400
Problem: stacy and heather are 40 miles apart and walk towards each other along the same route . stacy walks at constant rate that is 1 mile per hour faster than heather ' s constant rate of 5 miles / hour . if heather starts her journey 24 minutes after stacy , how far from the original destination has heather walked when the two meet ?
Output: 17 miles
Problem: if a 1 mm thick paper is folded so that the area is halved at every fold , then what would be the thickness of the pile after 50 folds ?
Output: 1 billion km', 'e ) none'
Problem: a motorcyclist goes from bombay to pune , a distance of 128 kms at an average of 32 kmph speed . another man starts from bombay by car 2 ½ hours after the first , and reaches pune ½ hour earlier . what is the ratio of the speed of the motorcycle and the car ?
Output: 1 : 4
Problem: a man whose speed is 5.5 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 1.5 kmph , find his average speed for the total journey ?
Output: 5 kmph
Problem: when positive integer x is divided by 11 , the quotient is y and the remainder is 4 . when 2 x is divided by 5 , the quotient is 3 y and the remainder is 4 . what is the value of 4 y – x ?
Output: 0
Problem: martin bought 10 concert tickets , some at the full price of $ 2.00 per ticket , and some at a discounted price of $ 1.60 per ticket . if he spent a total of $ 18.40 , how many discounted tickets did he buy ?
Output: 4
Problem: the area of a square field is 625 km 2 . how long will it take for a horse to run around at the speed of 25 km / h ?
Output: 4 h
Problem: how is 3 % expressed as a decimal fraction ?
Output: 0.03
Problem: the cross section of a canal is trapezium in shape . the canal is 12 m wide at the top and 8 m wide at the bottom . if the area of the cross section is 840 sq . m , the depth of the canal is :
Output: 84 m
Problem: if x / 4 years ago roger was 21 years old and x / 4 years from now he will be 4 x years old , how old will he be 5 x years from now ?
Output: 7
Problem: a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5 : 3 . if he sells the blended variety at rs 21 per kg , then his gain percent is
Output: 12 %
Problem: what should be added to 4872 so that it may become a perfect square ?
Output: 2
Problem: if 45 - [ 28 - { 37 - ( 15 - * ) } ] = 54 , then * is equal to :
Output: 15
Problem: if 2 tic equals 3 tacs and 2 tacs equal 7 tocs , what is the ratio of one tic to one toc ?
Output: 21 / 4
Problem: how many prime numbers are between 29 / 3 and 87 / 6 ?
Output: 2
Problem: find the greatest number which leaves the same remainder when it divides 25 , 57 and 105 .
Output: 16
Problem: find large no . from below question the difference of two numbers is 1365 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder
Output: 163
Problem: a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 50 % more recliners . what is the percentage increase of the gross ?
Output: 20 %
Problem: 108 ã — 108 + 92 ã — 92 = ?
Output: 20128
Problem: 7.515 / 10.02 =
Output: 0.7
Problem: 1 - 1 - 1 - 1 - 1 - 1 do any operations between the numbers to make the sum as 37 ?
Output: 37
Problem: 150 college students were asked in a survey if they preferred windows or mac brand computers . 40 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 40 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ?
Output: 70
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 18 seconds . the length of each train is :
Output: 25 m
Problem: what is the area of a square field whose sides have a length of 11 meters ?
Output: 121 sq m
Problem: what is the unit digit of ( 6 ! * 3 ! / 3 ! * 4 ! ) ?
Output: 0
Problem: in the coordinate plane , points ( x , 2 ) and ( 4 , y ) are on line k . if line k passes through the origin and has slope 1 / 4 , then x - y =
Output: 7
Problem: 275 metres long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees
Output: 11
Problem: a group of boy scouts and girls scouts is going on a rafting trip . 60 % of the scouts arrived with signed permission slips . if 45 % of the scouts were boy scouts and 50 % of the boy scouts arrived with signed permission slips , then what percentage of the girl scouts arrived with signed permission slips ? round to the nearest percent .
Output: 68
Problem: the length of the bridge , which a train 155 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?
Output: 220 m
Problem: the shopkeeper sale , all of the prices of the items sold were different . if the price of a radio sold at the shopkeeper sale was both the 9 th highest price and the 14 th lowest price among the prices of the items sold , how many items were sold at the shopkeeper sale ?
Output: 22
Problem: find the value of 2 x [ ( 3.6 x 0.48 x 2.50 ) / ( 0.12 x 0.09 x 0.5 ) ]
Output: 1600
Problem: 20 is subtracted from 80 % of a number , the result is 60 . find the number ?
Output: 100
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 40 paise per sq . metre
Output: s 340
Problem: there are 280 doctors and nurses at a hospital . if the ratio of doctors to nurses is 5 to 9 , how many nurses are at the hospital ?
Output: 180
Problem: a man sells a car to his friend at 10 % loss . if the friend sells it for rs . 54000 and gains 20 % , the original c . p . of the car was :
Output: rs . 50000
Problem: addison high school ’ s senior class has 160 boys and 200 girls . if 75 % of the boys and 84 % of the girls plan to attend college , what percentage of the total class plan to attend college ?
Output: 80
Problem: jim ’ s taxi service charges an initial fee of $ 2.25 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled . what is the total charge for a trip of 3.6 miles ?
Output: $ 5.4
Problem: 5.005 / 4.004 =
Output: 1.2
Problem: if a ( a + 7 ) = 60 and b ( b + 7 ) = 60 , where a ≠ b , then a + b =
Output: − 7
Problem: find the probability that the number drawn is a multiple of 6 and 8 .
Output: 1 / 25
Problem: the average age of 36 students in a group is 18 years . when teacher ' s age is included to it , the average increases by one . what is the teacher ' s age in years ?
Output: 55 years
Problem: fred and sam are standing 55 miles apart and they start walking in a straight line toward each other at the same time . if fred walks at a constant speed of 6 miles per hour and sam walks at a constant speed of 5 miles per hour , how many miles has sam walked when they meet ?
Output: 25
Problem: an association of mathematics teachers has 1,260 members . only 525 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 65 percent of the votes cast ?
Output: 27.08 %
Problem: what is the remainder of ( 3682 * 3684 * 3686 ) divided by 19 ?
Output: 0
Problem: a can do a work in 24 days and b can do it in 12 days . in how many days a and b can do the work ?
Output: 8 day
Problem: a prize of $ 1200 is to be distributed among 40 winners , each of whom must be awarded at least $ 40 . if 2 / 5 of the prize will be distributed to 3 / 5 of the winners , what is the greatest possible individual award ?
Output: $ 120