niryuu/sni-each-converted huggingface dataset:
Problem: the malibu country club needs to drain its pool for refinishing . the hose they use to drain it can remove 60 cubic feet of water per minute . if the pool is 60 feet wide by 100 feet long by 10 feet deep and is currently at 80 % capacity , how long will it take to drain the pool ?
Output: 800
Problem: walking at 4 / 5 of her normal speed , a worker is 10 minutes later than usual in reaching her office . the usual time ( in minutes ) taken by her to cover the distance between her home and her office is
Output: 40
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: 17 m
Problem: a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 4 m , the volume of the box ( in m 3 ) is :
Output: 4480
Problem: find the value of x in ( x + 1 ) / ( x + 3 ) = 5
Output: - 3.
Problem: a and b can together finish a work in 40 days . they worked together for 10 days and then b left . after another 15 days , a finished the remaining work . in how many days a alone can finish the job ?
Output: 2
Problem: if the radius of a cylinder is made 3 times and height is doubled , what is the new volume of the cylinder divided by the old one ?
Output: 18 .
Problem: a train 110 m long is running with a speed of 82 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?
Output: 4.5 sec
Problem: the average marks of a class of 35 students is 40 and that of another class of 45 students is 60 . find the average marks of all the students ?
Output: 51.2
Problem: abcd is a square where ab = √ 2016 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd .
Output: 1008
Problem: chris age after 9 years will be 5 times his age 5 years back . what is the present age of chris ?
Output: e ) 1
Problem: the owner of a furniture shop charges his customer 20 % more than the cost price . if a customer paid rs . 8600 for a computer table , then what was the cost price of the computer table ?
Output: rs . 7166
Problem: what is the perimeter , in meters , of a rectangular garden 16 meters wide that has the same area as a rectangular playground 16 meters long and 12 meters wide ?
Output: 56
Problem: mrs . evans gave a test to her freshmen economics class , which has 29 students enrolled and 19 of them answered question 1 correctly . if 24 answered question 2 correctly and 5 did not take the test then how many answered both questions correctly ?
Output: 1
Problem: the distance between west - town to east - town is 10 kilometers . two birds start flying simultaneously towards one another , the first leaving from west - town at a speed of 4 kilometers per minute and the second bird , leaving from east - town , at a speed of 1 kilometers per minute . what will be the distance , in kilometers , between the meeting point and west - town ?
Output: 8 .
Problem: if m is a positive integer and m ^ 2 is divisible by 33 , then the largest positive integer that must divide m is ?
Output: 11
Problem: √ 2 percent of 2 √ 2 =
Output: 0.05
Problem: a , b and c play a cricket match . the ratio of the runs scored by them in the match is a : b = 6 : 3 and b : c = 6 : 5 . if the total runs scored by all of them are 118 , the runs scored by b are ?
Output: 24
Problem: a man swims downstream 90 km and upstream 55 km taking 5 hours each time ; what is the speed of the current ?
Output: 3.5
Problem: from a total of 5 boys and 6 girls , how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls ?
Output: 15
Problem: the simple interest on a sum of money will be rs . 1400 after 10 years . if the principal is trebled after 5 years what will be the total interest at the end of the tenth year ?
Output: 2800
Problem: if the price of a certain computer increased 30 percent from d dollars to 351 dollars , then 3 d =
Output: 71
Problem: two cars start at the same time from opposite ends of a highway that is 175 miles long . one car is riding at 25 mph and the second car is riding at 45 mph . how long after they begin will they meet ?
Output: 2.5
Problem: how many seven - digit numbers that do not contain the digits 2 or 9 are there ?
Output: 183500
Problem: the sum of two consecutive number is 67 . which is the larger number ?
Output: 34
Problem: a and b together can do a piece of work in 1 days . if a alone can do the same work in 20 days , then b alone can do the same work in ?
Output: 0.95 day
Problem: in a school of 850 boys , 46 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?
Output: a ) 136
Problem: 45 % of x is greater than 1 / 3 rd of x by 110 . what is x ?
Output: 94
Problem: there are 7 executives , including the ceo and cfo , that are asked to form a small team of 4 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ?
Output: 25
Problem: a / ( b / c ) in the expression above , a , b , and c are different numbers and each is one of the numbers 2 , 3 , or 6 . what is the largest possible value of the expression ?
Output: 18 / 2
Problem: a work as fast as b . if b can complete a work in 8 days independently , the number of days in which a and b can together finish the work in ?
Output: 2 2 / 3 days
Problem: ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 5 percent and the mobile phone at a profit of 10 percent . overall he make a .
Output: 50
Problem: a batsman makes a score of 87 runs in the 17 th inning and thus increases his average by 3 . find his average after 17 th inning .
Output: 39
Problem: the area of a square is equal to five times the area of a rectangle of dimensions 32 cm * 10 cm . what is the perimeter of the square ?
Output: 160 cm', 'c ) 829 cm', 'd ) 288 cm', 'e ) 289 cm'
Problem: working alone , mary can pave a driveway in 4 hours and hillary can pave the same driveway in 3 hours . when they work together , mary thrives on teamwork so her rate increases by 33.33 % , but hillary becomes distracted and her rate decreases by 50 % . if they both work together , how many hours will it take to pave the driveway ?
Output: 2 hours
Problem: if y is a positive number and 1 / 2 the square root of x is the cube root of y , then y =
Output: 64
Problem: the perimeter of a semi circle is 180 cm then the radius is ?
Output: 35
Problem: the sum of the ages of 4 children born at the intervals of 1 years each is 12 years . what is the age of the youngest child ?
Output: 1.5
Problem: what is the decimal equivalent of ( 1 / 2 ) ^ 2 ?
Output: 0.25
Problem: when x is even , [ x ] = x / 2 + 1 , when x is odd [ x ] = 2 x + 1 then [ 6 ] * [ 3 ] = ?
Output: [ 28 ]
Problem: the sum of all the integers a such that - 26 < a < 24 is
Output: - 49
Problem: in what time will a railway train 52 m long moving at the rate of 24 kmph pass a telegraph post on its way ?
Output: 8 sec
Problem: find the smallest number which should be multiplied with 36963 to make it a perfect square .
Output: 3
Problem: one computer can upload 100 megabytes worth of data in 2 seconds . two computers , including this one , working together , can upload 1300 megabytes worth of data in 10 seconds . how long would it take for the second computer , working on its own , to upload 100 megabytes of data ?
Output: 6.6
Problem: 6 / 9 of the population of the country of venezia lives in montague province , while the rest lives in capulet province . in the upcoming election , 80 % of montague residents support romeo , while 70 % of capulet residents support juliet ; each resident of venezia supports exactly one of these two candidates . rounded if necessary to the nearest percent , the probability that a juliet supporter chosen at random resides in capulet is
Output: 64 %
Problem: if a 2 - b 2 = 10 and a * b = 5 , find a 4 + b 4 .
Output: 150
Problem: in an office , totally there are 2800 employees and 25 % of the total employees are males . 30 % of the males in the office are at - least 50 years old . find the number of males aged below 50 years ?
Output: 490
Problem: when 3 is added to half of one - third of one - fifth of a number , the result is one - fifteenth of the number . find the number ?
Output: 9
Problem: how many integers between 314,700 and 458,600 have tens digit 1 and units digit 3 ?
Output: 1,43
Problem: a certain psychologist charges $ 20 more for the first hour of therapy than for each additional hour . if the total charge to a patient who receives 5 hours of therapy is $ 300 , what is the total charge to a patient who receives only 3 hours of therapy ?
Output: $ 18
Problem: 4 athletes , wendy , michelle , brenda , and jamal , scored in a soccer ( football ) game . if michelle scored 1 more goal than brenda did , jamal scored 3 less than wendy did , and wendy scored 3 more than michelle did , how many fewer goals did brenda score than jamal ?
Output: - 1
Problem: a bus trip of 550 miles would have taken 1 hour less if the average speed v for the trip had been greater by 5 miles per hour . what was the average speed v , in miles per hour , for the trip ?
Output: 50
Problem: the sum of the squares of 3 consecutive natural number is 2030 . what is the middle number ?
Output: 26
Problem: ( √ 112 + √ 567 ) / √ 175 = ?
Output: 13 / 5
Problem: a statue is being carved by a sculptor . the original piece of marble weighed 250 kg . in the first week 30 percent is cut away . in the second week 20 percent of the remainder is cut away . in the third week the statue is completed when 25 percent of the remainder is cut away . what is the weight of the final statue ?
Output: 105 kg
Problem: dan can do a job alone in 12 hours . annie , working alone , can do the same job in just 9 hours . if dan works alone for 8 hours and then stops , how many hours will it take annie , working alone , to complete the job ?
Output: 3
Problem: two cars start from the opposite places of a main road , 105 km apart . first car runs for 25 km and takes a right turn and then runs 15 km . it then turns left and then runs for another 25 km and then takes the direction back to reach the main road . in the mean time , due to minor break down the other car has run only 35 km along the main road . what would be the distance between two cars at this point ?
Output: 20
Problem: 4 dice are thrown simultaneously on the board . find the probability show the same face ?
Output: 1 / 216
Problem: every disk in a bag is either blue , yellow or green . the ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8 . if the total number of disks in the bag is 126 , how many more green disks than blue disks are in the bag ?
Output: 35
Problem: ben left a job paying $ 75000 per year to accept a sales job paying $ 45000 per year plus 15 percent commission . if each of his sales is for $ 750 , what is the least number of sales he must make per year if he is not to lose money because of the change ?
Output: 267
Problem: if there are 86 workers in a factory , and on a certain day , 72 were present . calculate the percentage that showed up for work ? ( round to the nearest tenth ) .
Output: 83.7 %
Problem: x does a work in 20 days . y does the same work in 40 days . in how many days they together will do the same work ?
Output: 13.3
Problem: in a school the ratio of boys and girls are in the ration 5 : 6 . 25 % of boys will get scholar ship and 20 % of girls will get scholar ship what % of students wont get scholarship ?
Output: 78 %
Problem: a start walking from a place at a uniform speed of 7 kmph in a particular direction . after half an hour , b starts from the same place and walks in the same direction as a at a uniform speed and overtakes a after 1 hour 48 minutes . find the speed of b .
Output: 7.6 kmph
Problem: find large number from below question the difference of two numbers is 1355 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder
Output: 162
Problem: six persons standing in queue with different age group , after two years their average age will be 43 and seventh person joined with them . hence the current average age has become 45 . find the age of the 7 th person .
Output: 69
Problem: solve below question 2 x + 1 = - 13
Output: -
Problem: car a is 16 miles behind car b , which is traveling in the same direction along the same route as car a . car a is traveling at a constant speed of 58 miles per hour and car bis traveling at a constant speed of 50 miles per hour . how many hours will it take for car a to overtake and drive 8 miles ahead of car b ?
Output: 3.0
Problem: if x + y = 290 , x - y = 200 , for integers of x and y , y = ?
Output: 245
Problem: for all positive integers m , [ m ] = 3 m when m is odd and [ m ] = ( 1 / 2 ) * m when m is even . what is [ 5 ] * [ 8 ] equivalent to ?
Output: [ 120 ]
Problem: if log 10 2 = 0.3010 , the value of log 10 80 is :
Output: 1.903
Problem: the bankers discount of a certain sum of money is rs . 18 and the true discount on the same sum for the same time is rs . 15 . the sum due is :
Output: 90
Problem: the mean of 50 observations is 200 . but later he found that there is decrements of 34 from each observations . what is the the updated mean is ?
Output: 166
Problem: the sum of first 45 natural numbers is
Output: 1035
Problem: what is the dividend . divisor 13 , the quotient is 17 and the remainder is 1
Output: 222
Problem: a man performs 3 / 5 of the total journey by rail , 17 / 20 by bus and the remaining 6.5 km on foot . his total journey is :
Output: 130 km
Problem: there are 300 female managers in a certain company . find the total number of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers .
Output: 750
Problem: of the seven - digit positive integers that have no digits equal to zero , how many have two digits that are equal to each other and the remaining digit different from the other two ?
Output: 152409600
Problem: the true discount on a bill of rs . 2260 is rs . 360 . what is the banker ' s discount ?
Output: rs . 428
Problem: in the first 20 overs of a cricket game , the run rate was only 4.8 . what should be the run rate in the remaining 30 overs to reach the target of 302 runs ?
Output: 6.87
Problem: a trader sells 85 meters of cloth for rs . 8500 at the profit of rs . 15 per metre of cloth . what is the cost price of one metre of cloth ?
Output: rs . 85
Problem: anne bought doughnuts for a class breakfast party . she bought 9 chocolate doughnuts , 7 coconut doughnuts , and 9 jam - filled doughnuts . how many doughnuts did anne buy in all ?
Output: 25
Problem: the length of a rectangle i s two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ?
Output: 140 sq . units', 'b ) 149', 'c ) 148', 'd ) 17', 'e ) 143'
Problem: a cyclist bikes x distance at 8 miles per hour and returns over the same path at 10 miles per hour . what is the cyclist ' s average rate for the round trip in miles per hour ?
Output: 8.9
Problem: sandy is younger than molly by 6 years . if their ages are in the respective ratio of 7 : 9 , how old is molly ?
Output: 27
Problem: the average weight of 25 persons sitting in a boat had some value . a new person added to them whose weight was 46 kg only . due to his arrival , the average weight of all the persons decreased by 5 kg . find the average weight of first 25 persons ?
Output: none
Problem: right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy ’ s age will be 38 years . what is molly ' s age right now ?
Output: 24
Problem: a hexagon is formed abcdef which perimeter 36 cm . a polygon is formed by joining the points ae & bd . find the area of the polygon abde ?
Output: 36 √ 3 cm 2', 'd ) 37 √ 3 cm 2', 'e ) 38 √ 3 cm 2'
Problem: 10 , 1000 , 100000 , 10000000 . . . .
Output: 1,000
Problem: an investor deposited $ 10,000 to open a new savings account that earned 12 percent annual interest , compounded quarterly . if there were no other transactions in the account , what was the amount of money in the account 6 months after the account was opened ?
Output: $ 10,609
Problem: in a survey of parents , exactly 5 / 6 of the mothers and 3 / 4 of the fathers held full - time jobs . if 40 percent of the parents surveyed were women , what percent of the parents did not hold full - time jobs ?
Output: 22
Problem: a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 500 and $ 300 per unit , respectively . what is the fewest number of computer printers that the company can purchase ?
Output: 6
Problem: 212 : 436 : : 560 : ?
Output: 784
Problem: circular gears p and q start rotating at the same time at constant speeds . gear p makes 10 revolutions per minute and gear q makes 40 revolutions per minute . how many seconds after the gears start rotating will gear q have made exactly 45 more revolutions than gear p ?
Output: 90
Problem: for the symbol , m ” n = n ^ 2 − m for all values of m and n . what is the value of 6 ” 3 ?
Output: 3
Problem: the sides of a square region , measured to the nearest centimeter , are 4 centimeters long . the least possible value of the actual area of the square region is
Output: 12.25 sq cm
Problem: what sum of money will produce rs . 80 as simple interest in 4 years at 3 1 / 2 percent ?
Output: 571.4
Problem: two - third of a positive number and 144 / 216 of its reciprocal are equal . the number is :
Problem: from a container having pure milk , 20 % is replaced by water and the process is repeated thrice . at the end of the third operation , the milk is ?
Output: 51.2 %
Problem: after 6 games , team b had an average of 70 points per game . if it got only 47 points in game 7 , how many more points does it need to score to get its total above 500 ?
Output: 33
Problem: if a ' s height is 40 % less than that of b , how much percent b ' s height is more than that of a ?
Output: 66.66 %
Problem: how long will a boy take to run round a square field of side 35 meters , if he runs at the rate of 9 km / hr ?
Output: 56
Problem: a man sold 20 articles for $ 60 and gained 20 % . how many articles should he sell for $ 40 to incur a loss 20 % ?
Output: 20
Problem: if two positive numbers are in the ratio 1 / 7 : 1 / 4 , then by what percent is the second number more than the first ?
Output: 75 % .
Problem: a certain library assesses fines for overdue books as follows . on the first day that a book is overdue , the total fine is $ 0.09 . for each additional day that the book is overdue , the total fine is either increased by $ 0.30 or doubled , whichever results in the lesser amount . what is the total for a book on the fourth day it is overdue ?
Output: $ 0.66
Problem: what is the sum of the numbers between 1 and 14 , inclusive ?
Output: 105
Problem: how many prime numbers are between 25 / 3 and 84 / 6 ?
Output: 2
Problem: a company wants to spend equal amounts of money for the purchase of two types of computer printers costing $ 400 and $ 350 per unit , respectively . what is the fewest number of computer printers that the company can purchase ?
Output: 15
Problem: if 13 = 13 w / ( 1 - w ) , then ( 6 w ) 2 =
Problem: a man can row upstream at 25 kmph and downstream at 55 kmph , and then find the speed of the man in still water ?
Output: 40
Problem: in a room filled with 6 people , all 6 people have exactly 2 siblings in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ?
Output: 3 / 5
Problem: what will be the cost of building a fence around a square plot with area equal to 289 sq ft , if the price per foot of building the fence is rs . 60 ?
Output: s . 4080
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 32 hours and 16 hours respectively . the ratio of their speeds is
Output: 1 : 2
Problem: an electrical appliances store sold this month 400 % more than the average of all the other months in the year . the sales total for this month was approximately what percent of total sales for this year ?
Output: 21 % .
Problem: a bag contains 10 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is
Output: 21 / 44
Problem: two bike riders ride in opposite directions around a circular track , starting at the same time from the same point . biker a rides at a speed of 16 kmph and biker b rides at a speed of 14 kmph . if the track has a diameter of 40 km , after how much time ( in hours ) will the two bikers meet ?
Output: 4.18 hrs .
Problem: a cistern 12 m long and 14 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :
Output: 233 m
Problem: if a / b = 1 / 3 , b / c = 2 , c / d = 1 / 2 , d / e = 3 and e / f = 1 / 10 , then what is the value of abc / def ?
Output: 3 / 20
Problem: john and david can finish a job together in 2 hours . if john can do the job by himself in 3 hours , what percent of the job does david do ?
Output: 33.33 %
Problem: find the compound interest on $ 10000 in 2 years at 4 % per annum , the interest being compounded half - yearly ?
Output: $ 824.32
Problem: if a = 105 and a ^ 3 = 21 × 25 × 45 × z , what is the value of z ?
Output: 49
Problem: if the cost price of 50 articles is equal to the selling price of 45 articles , then the gain or loss percent is ?
Output: 11.11
Problem: the area of one square is x ^ 2 + 6 x + 9 and the area of another square is 4 x ^ 2 − 28 x + 49 . if the sum of the perimeters of both squares is 56 , what is the value of x ?
Output: 6
Problem: a train moves with a speed of 162 kmph . its speed in metres per second is
Output: 4
Problem: which number should replace both the asterisks in ( * / 20 ) x ( * / 80 ) = 1 ?
Output: 40
Problem: two trains of equal length , running with the speeds of 60 and 90 kmph , take 50 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ?
Output: 6.6
Problem: a couple spent $ 211.20 in total while dining out and paid this amount using a credit card . the $ 211.20 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food . what was the actual price of the food before tax and tip ?
Output: $ 160
Problem: at a school , 3 - fifths of the male students and two - thirds of the female students speak a foreign language . if the number of males is equal to the number of females , what fraction of the students speak a foreign language ?
Output: 19 / 30
Problem: 11 + 12 + 13 + . . . 51 + 52 = ?
Output: 1323
Problem: it is currently 7 : 05 pm . what time was it in the morning exactly 51,132 minutes ago ?
Output: 6 : 53
Problem: the time taken by a man to row his boat upstream is twice the time taken by him to row the same distance downstream . if the speed of the boat in still water is 60 kmph , find the speed of the stream ?
Output: 20 kmp
Problem: a contractor undertook to do a piece of work in 18 days . he employed certain number of laboures but 9 of them were absent from the very first day and the rest could finish the work in only 6 days . find the number of men originally employed ?
Output: 4.5
Problem: the length of a rectangular plot is thrice its width . if the area of the rectangular plot is 432 sq meters , then what is the width ( in meters ) of the rectangular plot ?
Output: 12', 'd ) 13', 'e ) 14'
Problem: a certain car uses 12 gallons of gasoline in traveling 120 miles . in order for the car to travel the same distance using 10 gallons of gasoline , by how many miles per gallon must the car ’ s gas mileage be increased ?
Output: 2
Problem: the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . find out the average age of the team .
Output: 23
Problem: a box contains 7 pairs of shoes ( 14 shoes in total ) . if two shoes are selected at random , what it is the probability that they are matching shoes ?
Output: 1 / 13
Problem: a man can row at 5 kmph in still water . if the velocity of current is 1 kmph and it takes him 2 hour to row to a place and come back , how far is the place ?
Output: 4.8 km
Problem: when positive integer x is divided by positive integer y , the remainder is 3 . if x / y = 96.12 , what is the value of y ?
Output: 25
Problem: twelve machines , each working at the same constant rate , together can complete a certain job in 6 days . how many additional machines , each working at the same constant rate , will be needed to complete the job in 3 days ?
Output: 12
Problem: if 2 + 3 = 13 ; 3 + 5 = 31 ; 5 + 7 = 59 , then 7 + 9 = ?
Output: 95
Problem: if john makes a contribution to a charity fund at school , the average contribution size will increase by 50 % reaching $ 75 per person . if there were 1 other contributions made before john ' s , what is the size of his donation ?
Output: $ 100
Problem: 15 men can complete a work in 10 days while 20 boys can complete the same work in 15 days . how many days will 10 men and 10 boys together take to complete the same work
Output: 10 days
Problem: a rectangular tiled patio is composed of 96 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 96 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ?
Output: 8
Problem: what is 78 % of 4 / 5 ?
Output: 0.624
Problem: find the area of a parallelogram with base 12 cm and height 48 cm ?
Output: 576 cm 2
Problem: of the diplomats attending a summit conference , 25 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ?
Output: 70
Problem: a vendor buys 10 t - shirts at an average price of $ 14 per t - shirt . he then buys 15 more t - shirts at an average price of $ 11 per t - shirt . what is the average price q per t - shirt that the vendor paid for these purchases ?
Output: $ 12.20
Problem: excluding the stoppages , the speed of a bus is 48 km / hr and including the stoppages the speed of the bus is 12 km / hr . for how many minutes does the bus stop per hour ?
Output: 45 min
Problem: a furniture dealer purchased a desk for $ 120 and then set the selling price equal to the purchase price plus a markup that was 40 % of the selling price . if the dealer sold the desk at the selling price , what was the amount of the dealer ' s gross profit from the purchase and the sale of the desk ?
Output: $ 40
Problem: there are 15 boys and 10 girls in a class . if three students are selected at random , in how many ways that 1 girl or 2 boys are selected ?
Output: 115
Problem: the area of the square formed on the diagonal of a rectangle as its side is 108 1 / 3 % more than the area of the rectangle . if the perimeter of the rectangle is 28 units , find the difference between the sides of the rectangle ?
Output: 2', 'e ) 1'
Problem: for what value of x between − 9 and 9 , inclusive , is the value of x ^ 2 − 10 x + 16 the greatest ?
Output: − 9
Problem: the owner of a furniture shop charges his customer 10 % more than the cost price . if a customer paid rs . 8800 for a computer table , then what was the cost price of the computer table ?
Output: rs . 8000
Problem: if sharon ' s weekly salary increased by 16 percent , she would earn $ 348 per week . if instead , her weekly salary were to increase by 15 percent , how much would she earn per week ?
Output: $ 345
Problem: the average monthly salary of 8 workers and one supervisor in a factory was 430 . @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430 . @ sswhen @ ssthe @ sssupervisor @ cc @ sswhose @ sssalary @ sswas @ ss 430 . whenthesupervisor , whosesalarywas 430 . when the supervisor , whose salary was 870 per month , retired , a new person was appointed and then the average salary of 9 people was $ $ 440 per month . the salary of the new supervisor is :
Output: 960
Problem: if ( m - 8 ) is a factor of m ^ 2 - hm - 24 , then h =
Output: 5
Problem: if the average of 5 x and 8 y is greater than 90 , and x is twice y , what is the least integer value of x ?
Output: 4
Problem: how many three - element subsets of { 1,2 , 3,4 } are there that do not contain the pair of elements 2 and 4 ?
Output: 2
Problem: the length of the bridge , which a train 500 metres long and travelling at 42 km / hr can cross in 60 seconds , is ?
Output: 200 m
Problem: a bowl contains equal numbers of red , orange , green , blue , and yellow candies . kaz eats all of the green candies and half of the orange ones . next , he eats half of the remaining pieces of each color . finally , he eats red and yellow candies in equal proportions until the total number of remaining candies of all colors equals 20 % of the original number . what percent of the red candies remain ?
Output: 12.5 %
Problem: there is 60 % increase in an amount in 6 years at si . what will be the ci of rs . 12,000 after 3 years at the same rate ?
Output: 397
Problem: a man bought 40 shares of rs . 80 at 5 discount , the rate of dividend being 12 1 / 2 % the rate of interest obtained is
Output: 13.33 %
Problem: the average of 2 , 76 and x is 5 . find the value of x ?
Problem: a car averages 65 mph for the first 5 hours of a trip and averages 75 mph for each additional hour . the average speed for the entire trip was 60 mph . how many hours long is the trip ?
Output: 9
Problem: if y > 0 , ( 6 y ) / 20 + ( 3 y ) / 10 is what percent of y ?
Output: 60 %
Problem: if the number is divided by 3 , it reduced by 36 . the number is
Output: d ) 54
Problem: 8 men can do a piece of work in 12 days . 4 women can do it in 48 days and 10 children can do it in 24 days . in how many days can 10 men , 4 women and 30 children together complete the piece of work ?
Output: 4 days
Problem: in a group of 150 readers who read science fiction or literacy works or both , 120 read science fiction and 90 read literacy works . how many read both science fiction and literacy works ?
Output: 60
Problem: the speed of a boat in still water in 30 km / hr and the rate of current is 7 km / hr . the distance travelled downstream in 36 minutes is :
Output: 22.2 k
Problem: 39 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 3 hours a day , complete the work ?
Output: 26
Problem: in what time will two trains cross each other completely , which are running on the same parallel lines in opposite directions , each train running with a speed of 90 kmph being 160 m and 140 m in length respectively ?
Output: 6.0 sec
Problem: cole drove from home to work at an average speed of 80 kmh . he then returned home at an average speed of 120 kmh . if the round trip took a total of 2 hours , how many minutes did it take cole to drive to work ?
Output: 72
Problem: the total number of plums that grow during each year on a certain plum tree is equal to the number of plums that grew during the previous year , less the age of the tree in years ( rounded down to the nearest integer ) . during its 2 nd year , the plum tree grew 50 plums . if this trend continues , how many plums will it grow during its 6 th year ?
Output: 36
Problem: a trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg . in order to earn a profit of 25 % , what should be the sale price of the mixed tea ?
Output: 20
Problem: pipe a fills a tank of capacity 800 liters at the rate of 40 liters a minute . another pipe b fills the same tank at the rate of 30 liters a minute . a pipe at the bottom of the tank drains the tank at the rate of 20 liters a minute . if pipe a is kept open for a minute and then closed and pipe b is open for a minute and then closed and then pipe c is open for a minute and then closed and the cycle is repeated , when will the tank be full ?
Output: 48 minutes
Problem: in a dairy farm , 20 cows eat 10 bags of husk in 40 days . in how many days one cow will eat one bag of husk ?
Output: 80
Problem: if w / x = 1 / 3 and w / y = 3 / 4 , then ( x + y ) / y =
Output: 13 / 4
Problem: the speed of a boat in still water is 15 km / hr and the rate of current is 3 km / hr . the distance travelled downstream in 24 minutes is
Output: 7.2 km
Problem: a man is 20 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is ?
Output: 18
Problem: a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 193 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many cabbages did she produce this year ?
Output: 9,409
Problem: a shopkeeper sold an article for rs 2564.36 . approximately what was his profit percent if the cost price of the article was rs 2400
Output: 7 %
Problem: if d is the smallest positive integer such that 3150 multiplied by d is the square of an integer , then d must be
Output: 1
Problem: at garage sale , all of the prices of the items sold were different . if the price of a radio sold at the garage sale was both the 9 th highest price and the 35 th lowest price among the prices of the items sold , how many items were sold at the garage sale ?
Output: 43
Problem: excluding the stoppages , the speed of a bus is 12 km / hr and including the stoppages the speed of the bus is 6 km / hr . for how many minutes does the bus stop per hour ?
Output: 30 min
Problem: the diameter of the driving wheel of a bus in 140 cm . how many revolutions per minute must the wheel make in order to keep a speed of 14 kmph ?
Output: 53.03
Problem: in a park there are two ponds with both brown ducks and green ducks . in the smaller pond there are 45 ducks and in the larger pond there are 55 ducks . if 20 % of the ducks in the smaller pond are green and 40 % of the ducks in the larger pond are green , then what percentage of ducks are green ?
Output: 31 %
Problem: rice weighing 35 / 2 pounds was divided equally and placed in 4 containers . how many ounces of rice were in each container ? ( note that 1 pound = 16 ounces )
Output: 70
Problem: what is the sum of the greatest common factor and the lowest common multiple of 12 and 48 ?
Output: 60
Problem: a hat company ships its hats , individually wrapped , in 8 - inch by 10 - inch by 12 - inch boxes . each hat is valued at $ 10 . if the company ’ s latest order required a truck with at least 288,000 cubic inches of storage space in which to ship the hats in their boxes , what was the minimum value of the order ?
Output: $ 3000
Problem: ashok secured average of 74 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ?
Output: 74
Problem: susan made a block with small cubes of 5 cubic cm volume to make a block 7 small cubes long , 7 small cubes wide and 6 small cubes deep . she realise that she has used more small cubes than she really needed . she realised that she could have glued a fewer number of cubes together ot look like a block with same dimensions , if it were made
Output: 194', 'b ) 195', 'c ) 196', 'd ) 197', 'e ) 198'
Problem: in a dairy farm , 55 cows eat 55 bags of husk in 55 days . in how many days one cow will eat one bag of husk ?
Output: 55 day
Problem: today joelle opened an interest - bearing savings account and deposited $ 10,000 . if the annual interest rate is 5 percent compounded interest , and she neither deposits nor withdraws money for exactly 2 years , how much money will she have in the account ?
Output: $ 11025
Problem: what is the prime factors ’ number of 18 ?
Output: 3
Problem: a sum of money at simple interest amounts to $ 645 in 3 years and to $ 690 in 4 years . the sum is :
Output: $ 510
Problem: john and david can finish a job together in 4 hours . if john can do the job by himself in 5 hours , what percent of the job does david do ?
Output: 20 %
Problem: a tank is filled in 10 hours by 3 pipes a , b and c . the pipe c is twice as fast as b and b is twice as fast as a . how much time will pipe a alone take to fill the tank ?
Output: 70 hours
Problem: in a certain production lot , 40 percent of the toys are red and the remaining toys are green . half of toys are small and half are large . if 10 percent of the toys are red and small , and 40 toys are green and large . how many of the toys are red and large ?
Output: 60
Problem: if 4 ( p ' s capital ) = 6 ( q ' s capital ) = 10 ( r ' s capital ) , then out of the total profit of rs 4030 , r will receive
Output: 780
Problem: a train 150 m long is running with a speed of 68 kmph . in what time will it pass a man who is running at 8 kmph in the same direction in which the train is going ?
Output: 9 seconds
Problem: mark and ann together were allocated n boxes of cookies to sell for a club project . mark sold 11 boxes less than n and ann sold 2 boxes less than n . if mark and ann have each sold at least one box of cookies , but together they have sold less than n boxes , what is the value of n ?
Output: 12
Problem: in a forest 10 rabbits were caught , tagged with electronic markers , then released . a month later , 10 rabbits were captured in the same forest . of these 10 rabbits , it was found that 2 had been tagged with the electronic markers . if the percentage of tagged rabbits in the second sample approximates the percentage of tagged rabbits in the forest , and if no rabbits had either left or entered the forest over the preceding month , what is the approximate number of rabbits in the forest ?
Output: 50
Problem: a man ' s speed with the current is 18 km / hr and the speed of the current is 2.5 km / hr . the man ' s speed against the current is ?
Output: 18
Problem: train a leaves the station traveling at 30 miles per hour . two hours later train в leaves the same station traveling in the same direction at 45 miles per hour . how many miles from the station was train a overtaken by train b ?
Output: 18
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 g digit of ( a + 2 ) ^ 2 ?
Output: 1
Problem: a distributor sells a product through an on - line 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 $ 15 per item . what is the price that the buyer observers on - line if the distributor wants to maintain a 30 % profit on the cost of the item ?
Output: 25.7
Problem: micheal and adam can do together a piece of work in 20 days . after they have worked together for 15 days micheal stops and adam completes the remaining work in 10 days . in how many days micheal complete the work separately .
Output: 40 days
Problem: pipe a can fill a tank in 6 hours . due to a leak at the bottom , it takes 10 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?
Output: 15
Problem: rs . 1581 is divided among a , b and c in the ratio 10 : 15 : 6 . what is the share of b ?
Output: 306
Problem: employees of a certain company are each to receive a unique 10 - digit identification code consisting of the digits 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , and 9 such that no digit is used more than once in any given code . in valid codes , the second digit in the code is exactly twice the first digit . how many valid codes are there ?
Output: 161,280
Problem: how many terminating zeroes w does 200 ! have ?
Output: 49
Problem: two trains 500 m and 750 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?
Output: 45
Problem: a train 110 m long is running with a speed of 36 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?
Output: 9
Problem: if x + y = 3 and y / x = 2 then y = ?
Problem: tough and tricky questions : remainders . 1 ^ 1 + 2 ^ 2 + 3 ^ 3 + . . . + 7 ^ 7 is divided by 7 . what is the remainder ?
Problem: a sells a bicycle to b and makes a profit of 50 % . b sells the same bicycle to c at a profit of 25 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a .
Output: 12
Problem: what is the units digit of ( 147 ^ 17 ) ^ 47 ?
Output: 3
Problem: how many times digit 5 is used while writing numbers from 100 to 1000 ?
Output: 29
Problem: one - third of rahul ' s savings in national savings certificate is equal to one - half of his savings in public provident fund . if he has rs . 1 , 90,000 as total savings , how much has he saved in public provident fund ?
Output: 76000
Problem: average marks of a , b , c is 48 . when d joins average becomes 47 . e has 3 more marks than d . average marks of b , c , d , e is 48 . what is the marks of a ?
Output: 43
Problem: a sum of money at simple interest amounts to rs . 720 after 2 years and to rs . 1020 after a further period of 5 years . the sum is :
Output: 600
Problem: 3 candidates in an election and received 3136 , 7636 and 11628 votes respectively . what % of the total votes did the winning candidate got in that election ?
Output: 52 %
Problem: two pipes p and q can fill a cistern in 12 and 15 minutes respectively . both are opened together , but at the end of 2 minutes the first is turned off . how many more minutes will it take for the cistern to fill after the first pipe is turned off ?
Output: 10.5
Problem: 864.942 - ? + 45.76 = 547.905
Output: d ) 362.797
Problem: the l . c . m . of 2 numbers is 66 . the numbers are in the ratio 2 : 3 . find their sum ?
Output: 5
Problem: a company conducted a survey about its two brands , a and b . x percent of respondents liked product a , ( x – 20 ) percent liked product b , 23 percent liked both products , and 23 percent liked neither product . what is the minimum number g of people surveyed by the company ?
Output: g = 100
Problem: the product x of two prime numbers is between 17 and 55 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 11 but less than 25 , then x =
Output: 6
Problem: a train traveling at 72 kmph crosses a platform in 33 seconds and a man standing on the platform in 18 seconds . what is the length of the platform in meters ?
Output: 300 meters
Problem: lagaan is levied on the 60 percent of the cultivated land . the revenue department collected total rs . 3 , 84,000 through the lagaan from the village of mutter . mutter , a very rich farmer , paid only rs . 480 as lagaan . the percentage of total land of mutter over the total taxable land of the village is :
Output: 0.20833
Problem: the weights of one liter vegetable ghee packet of two brands ‘ a ’ and ‘ b ’ are 800 gm and 850 gm respectively . if they are mixed in the ratio of 3 : 2 by volumes to form a mixture of 3 liters , what is the weight ( in kg ) of the mixture ?
Output: 2.46
Problem: if 4 xz + yw = 10 and xw + yz = 20 , what is the value of the expression ( 2 x + y ) ( 2 z + w ) ?
Output: 50 .
Problem: $ 9,000 is deposited in a savings account that pays 14 % annual interest compounded semiannually . to the nearest dollar , how much is in the account at the end of the year ?
Output: $ 10304.10
Problem: a certain bacteria colony doubles in size every day for 25 days , at which point it reaches the limit of its habitat and can no longer grow . if two bacteria colonies start growing simultaneously , how many days will it take them to reach the habitat ’ s limit ?
Output: 2
Problem: two kinds of vodka are mixed in the ratio 1 : 2 and 2 : 1 and they are sold fetching the profit 10 % and 10 % 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: 10 %
Problem: if daily wages of a man is 4 times to that of a woman , how many men should work for 25 days to earn rs . 14400 ? given that wages for 40 women for 30 days are rs . 21600 .
Output: 8
Problem: jerry went to a shop and bought things worth rs . 20 , out of which 30 % went on sales tax on taxable purchases . if the tax rate was 6 % , then what was the cost of the tax free items ?
Output: 14.7
Problem: 5005 - 5000 ÷ 10.00 = ?
Output: 4505
Problem: machine a takes 50 hours to complete a certain job and starts that job at 6 am . after four hour of working alone , machine a is joined by machine b and together they complete the job at 1 pm . how long would it have taken machine b to complete the job if it had worked alone for the entire job ?
Output: 3.8
Problem: a random 10 - letter code is to be formed using the letters a , b , c , d , e , f , g , h , i and i ( only the “ i ” will be used twice ) . what is the probability that a code that has the two i ’ s adjacent to one another will be formed ?
Output: 1 / 5
Problem: at the end of the day , february 14 th , a florist had 90 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 15 of which were white and 10 of which were pink . the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed . if none of the long - stemmed roses were white , what percentage of the long - stemmed roses were red ?
Output: 33.3 %
Problem: the average salary / head of allthe workers in a workshop is rs . 1200 , if the average salary / head of 10 technician is rs . 1400 and the average salary / head of the rest is rs . 900 , the total no . of workers in the work - shop is ?
Output: 17
Problem: two cubes have their volumes are in the ratio 1 : 27 . find the ratio of their surface area ?
Output: 1 : 9', 'd ) 2 : 7', 'e ) 3 : 11'
Problem: if the integer n has exactly 4 positive divisors , including 1 and n , how many positive divisors does n ^ 3 have ?
Output: 16
Problem: the number 181 can be written as sum of the squares of 2 different positive integers . what is the difference of these 2 different integers ?
Output: 1
Problem: if you roll a fair - sided die twice , what is the probability of getting a double ( 5,5 ) ?
Output: 1 / 3
Problem: a father and his son are waiting at a bus stop in the evening . there is a lamp post behind them . the lamp post , the father and his son stand on the same straight line . the father observes that the shadows of his head and his son ’ s head are incident at the same point on the ground . if the heights of the lamp post , the father and his son are 6 metres , 1.8 metres and 0.9 metres respectively , and the father is standing 2.1 metres away from the post , then how far ( in metres ) is the son standing from his father ?
Output: 0.45
Problem: a collection of books went on sale , and 2 / 3 of them were sold for $ 2.25 each . if none of the 40 remaining books were sold , what was the total amount received for the books that were sold ?
Output: $ 18
Problem: a rectangular lawn of dimensions 80 m * 60 m has two roads each 10 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 5 per sq m ?
Output: 6500
Problem: at their respective rates , pump a , b , and c can fulfill an empty tank , or pump - out the full tank in 2 , 3 , and 6 hours . if a and b are used to pump - out water from the half - full tank , while c is used to fill water into the tank , in how many hours , the tank will be empty ?
Output: 3 / 4
Problem: a boat can travel with a speed of 22 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 108 km downstream
Output: 4 hours