niryuu/sni-each-converted huggingface dataset:
Problem: arnold and danny are two twin brothers that are celebrating their birthday . the product of their ages today is smaller by 15 from the product of their ages a year from today . what is their age today ?
Output: 7 .
Problem: for how many unique pairs of nonnegative integers { a , b } is the equation a ^ 2 - b ^ 2 = 99 true ?
Output: 3
Problem: how many positive integers less than 100 are there such that they are multiples of 8 or multiples of 7 but not both ?
Output: 24
Problem: when x is multiplied by 2 , the result is 19 more than the result of subtracting x from 26 . what is the value of x ?
Output: 15
Problem: if - 3 x + 5 y = 48 and 3 x - 2 y = 6 , what is the product of x and y ?
Output: 252
Problem: a can give b 60 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ?
Output: 148.94
Problem: kim finds a 6 - meter tree branch and marks it off in thirds and fifths . she then breaks the branch along all the markings and removes one piece of every distinct length . what fraction of the original branch remains ?
Output: 3 /
Problem: how many prime numbers between 1 and 100 are factors of 143 ?
Output: 2
Problem: a jar contains a mixture of ab in the ratio 3 : 2 . when 20 l of mixture is replaced with liquid b , ratio becomes 2 : 3 . how many liters of liquid a was present in mixture initially .
Output: 3
Problem: alan buys 4 tvs , a 26 inch , a 28 inch , a 30 inch , and a 32 inch , for his new house . each tv costs $ 200 more than the size below it . alan spends a total of $ 3,600 . how much would he have spent if he had bought only the 28 inch and 30 inch tvs ?
Output: 1,800
Problem: the average of marks obtained by 120 boys was 38 . if the average of marks of passed boys was 39 and that of failed boys was 15 , the number of boys who passed the examination is ?
Output: 115
Problem: if x , y , and z are positive integers , and 2 x = 5 y = 8 z , then the least possible value of x + y + z is
Output: 33
Problem: john and beth each drove from smallville to crown city by different routes . john drove an an average speed of 40 miles per hour and completed the trip in 30 minutes . beth ' s route was 5 miles longer , and it took her 20 minutes more than john to complete the trip . how many miles per hour was beth ' s average speed on this trip ?
Output: 30
Problem: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 100 ?
Output: 200
Problem: the sum of the first n positive perfect squares , where n is a positive integer , is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6 , where c is a constant . what is the sum of the first 17 positive perfect squares ?
Output: 1,78
Problem: 5 men are equal to as many women as are equal to 8 boys . all of them earn rs . 180 only . men â € ™ s wages are ?
Output: 12 r
Problem: a train is 250 meter long is running at a speed of 36 km / hour . in what time will it pass a station of 200 meter length ?
Output: 45 seconds
Problem: a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 72.25 , the number of the member is the group is :
Output: 85
Problem: triangle atriangle b are similar triangles with areas 2023 units square and 1792 units square respectively . the ratio of there corresponding height would be
Output: 17 : 16
Problem: two trains each 120 m in length each , are running on two parallel lines in opposite directions . if one goes at the speed of 85 km / h while the other travels at 65 km / h . how long will it take for them to pass each other completely .
Output: 10.07 sec
Problem: john invests $ x at the semi - annual constant compounded rate of 2 percent and also does $ 15,000 at the quarterly constant compounded rate of 4 percent . if the interests are the same after 1 year , what is the value of x ? ?
Output: 30301.5
Problem: the length of a rectangle is reduced by 20 % . by what % would the width have to be increased to maintainthe original area ?
Output: 25 %
Problem: find the area of a parallelogram with base 10 cm and height 20 cm .
Output: 200
Problem: a train covers a distance in 50 min , if it runs at a speed of 48 kmph on an average . the speed at which the train must run to reduce the time of journey to 40 min will be .
Output: 60 kmph
Problem: if y > 0 , ( 2 y ) / 10 + ( 3 y ) / 10 is what percent of y ?
Output: 50 %
Problem: 200 pupil total , out of 125 like pizza , 115 like burger , then how many like both ?
Output: 40
Problem: the area of a rectangular plot is 15 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ?
Output: 5 metres
Problem: what could be the range of a set consisting of odd multiples of 9 ?
Output: 72
Problem: the compound interest earned by sunil on a certain amount at the end of two years at the rate of 10 % p . a . was rs . 420 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned .
Output: rs . 2420
Problem: sandy walked 20 meters towards south . then sandy turned to her left and walked 20 meters . she then turned to her left and walked 20 meters . she then turned to her right and walked 25 meters . what distance is she from the starting point and in which direction ?
Output: 45 m eas
Problem: the weight of every type a widget is the same , the weight of every type b widget is the same , and the weight of every type c widget is the same . if the weight of 7 type a widgets is equal to the weight of 4 type b widgets , and the weight of 3 type b widgets is equal to the weight of 7 type c widgets . what is the ratio of the total weight of 1 type a widget and 1 type b widget , to the total weight of 1 type b widget and 1 type c widget ?
Output: 11 : 10
Problem: a man can swim in still water at 3 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ?
Problem: a man gains 30 % by selling an article for a certain price . if he sells it at double the price , the percentage of profit will be .
Output: 260 %
Problem: a train traveled the first d miles of its journey it an average speed of 50 miles per hour , the next d miles of its journey at an average speed of y miles per hour , and the final d miles of its journey at an average speed of 160 miles per hour . if the train ’ s average speed over the total distance was 96 miles per hour , what is the value of y ?
Output: 16
Problem: 2 persons can finish a job in 8 days . first person alone can finish the work in 24 days . how many days does the second person take to finish the job ?
Output: 12 days
Problem: a cistern is filled by pipe a in 12 hours and the full cistern can be leaked out by an exhaust pipe b in 18 hours . if both the pipes are opened , in what time the cistern is full ?
Output: 36 hrs
Problem: | x + 3 | – | 4 - x | = | 8 + x | how many x solutions will this equation have ?
Output: 0
Problem: of the 100 employees at company x , 80 are full - time , and 100 have worked at company x for at least a year . there are 20 employees at company x who aren ’ t full - time and haven ’ t worked at company x for at least a year . how many full - time employees of company x have worked at the company for at least a year ?
Output: 20
Problem: a number x is multiplied by 3 , and this product is then divided by 7 . if the positive square root of the result of these two operations equals x , what is the value of x if x ≠ 0 ?
Output: 3 / 7
Problem: the list price of an article is rs . 70 . a customer pays rs . 56.16 for it . he was given two successive discounts , one of them being 10 % . the other discount is ?
Output: 10.85 %
Problem: a man swims downstream 42 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ?
Output: 1
Problem: a starts business with rs . 3500 and after 8 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is b â € ™ s contribution in the capital ?
Output: 15750
Problem: joan took out a mortgage from hel local bank . each monthly mortgage payment she makes must be triple the amount of the previous month ' s payment . if her first payment is $ 100 , and the total amount she must pay back is $ 914800 , how many months will it take joan to pay back her mortgage ?
Output: 9
Problem: 5 20 380 144020 ?
Output: 20741616380
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 . 7 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 . 6342
Problem: two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 8 seconds . the length of the faster train is
Output: 100 m
Problem: if the mean of numbers 28 , x , 42 , 78 and 104 is 62 , then what is the mean of 128 , 255 , 280 , 511 , 1023 and x ?
Output: 375.8
Problem: the grade point average of the entire class is 80 . if the average of one fourth of the class is 92 , what is the average of the rest of the class ?
Output: 76
Problem: the compound interest earned on a sum for the second and the third years are $ 1200 and $ 1260 respectively . what is the rate of interest ?
Output: 5 %
Problem: a fair 2 sided coin is flipped 7 times . what is the probability that tails will be the result at least twice , but not more than 7 times ?
Output: 119 / 128
Problem: in february wilson ’ s earnings were 40 percent of his family ’ s total income . in march wilson earned 25 percent less than in february . if the rest of his family ’ s income was the same in both months , then , in march , wilson ’ s earnings were approximately what percent q of his family ’ s total income ?
Output: 33
Problem: the s . i . on a certain sum of money for 2 years at 4 % per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ?
Output: 5250
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 181 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: 8281', 'd ) 9331', 'e ) can not be determined'
Problem: a survey of employers found that during 1993 employment costs rose 3.5 percent , where employment costs consist of salary costs and fringe - benefit costs . if salary costs rose 3 percent and fringe - benefit costs rose 9.5 percent during 1993 , then fringe - benefit costs represented what percent of employment costs at the beginning of 1993 ?
Output: 8 %
Problem: how many of the positive divisors of 720 are also multiples of 4 not including 720 ?
Output: 17
Problem: ( p / q - q / p ) = 21 / 10 . then find 4 p / q + 4 q / p ?
Output: 58 / 5
Problem: a jar was full with honey . a person used to draw out 20 % of the honey from the jar and replaced it with sugar solution . he has repeated the same process 4 times and thus there was only 512 gm of honey left in the jar , the rest part of the jar was filled with the sugar solution . the initial amount of honey in the jar was filled with the sugar solution . the initial amount of honey in the jar was :
Output: 1.25 kg
Problem: a pupil ' s marks were wrongly entered as 85 instead of 45 . due to that the average marks for the class got increased by half . the number of pupils in the class is :
Output: 80
Problem: carl is facing very difficult financial times and can only pay the interest on a $ 8,000 loan he has taken . the bank charges him a quarterly compound rate of 5 % . what is the approximate interest he pays annually ?
Output: $ 160
Problem: the ratio of two numbers is 2 / 3 , and if a 1 is subtracted from the numerator and a 1 is added to the remainder the ratio becomes 1 / 2 , then the numbers are .
Output: 6 and 9
Problem: the h . c . f . of two numbers is 20 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is :
Output: 280
Problem: two cubes of their volumes in the ratio 64 : 125 . the ratio of their surface area is :
Output: 4 :
Problem: if the average of 16 x and 8 y is greater than 80 , and x is twice y , what is the least integer value of x ?
Output: 8
Problem: what is the square root of 168,921 ?
Output: 411
Problem: if the arithmetic mean of p and q is 10 and the arithmetic mean of q and r is 22 , what is the value of r - p ?
Output: 24
Problem: a man is 28 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: 26
Problem: in an examination , 30 % of total students failed in hindi , 42 % failed in english and 28 % in both . the percentage of these who passed in both the subjects is :
Output: 56
Problem: a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock is : ?
Output: 80
Problem: two trains travelling in the same direction at 50 and 40 kmph completely pass off another in 1 1 / 2 minute . if the length of the first train is 125 m , what is the length of the second train ?
Output: 125 m
Problem: a man can row upstream at 25 kmph and downstream at 31 kmph , and then find the speed of the man in still water ?
Output: 28
Problem: a , b , c can complete a piece of work in 24 , 8,12 days . working together , they complete the same work in how many days ?
Output: 4
Problem: a cricket player whose bowling average was 23.50 runs per wicket , takes 5 wicket for 52 runs in a match . due to this his average decreases by 0.50 . what will be the number of wickets taken by him till the last match ?
Output: 131
Problem: on dividing 52 by a number , the quotient is 16 and the remainder is 4 . find the divisor ?
Output: 3
Problem: how many different positive integers are factors of 20 ?
Output: 4
Problem: jim â € ™ s taxi service charges an initial fee of $ 2.5 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: $ 5.65
Problem: if the dimensions of a certain rectangular box are 5 inches by 2 inches by 3 inches , then the face of greatest area is of what area ?
Output: 15 square inches', 'e ) 10 square inches'
Problem: at a certain university , 66 % of the professors are women , and 70 % of the professors are tenured . if 90 % of the professors are women , tenured , or both , then what percent of the men are tenured ?
Output: 60
Problem: a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 50 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?
Output: $ 49
Problem: excluding stoppages , the speed of a bus is 58 kmph and including stoppages , it is 40 kmph . for how many minutes does the bus stop per hour ?
Output: 19
Problem: the average salary of the employees in a office is rs . 120 / month . the avg salary of officers is rs . 430 and of non officers is rs 110 . if the no . of officers is 15 , then find the no of nonofficers in the office .
Output: 465
Problem: what is the 149 th digit to the right of the decimal point in the decimal form of 30 / 33 ?
Output: 9
Problem: the salary of a person was reduced by 14 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?
Output: 16.3 %
Problem: 11 times a number gives 132 . the number is
Output: 12
Problem: a bullet train covers a distance in 50 min , if it runs at a speed of 48 kmph on an average . the speed at which the bullet train must run to reduce the time of journey to 40 min will be .
Output: 60 kmph
Problem: the area of a triangle is with base 12 m and height 5 m ?
Output: 30 m 2
Problem: what is the probability of randomly selecting one of the shortest diagonals from all the diagonals of a regular decagon ( 10 - sided polygon ) ?
Output: 2 / 7
Problem: one half of a two digit number exceeds its one third by 9 . what is the sum of the digits of the number ?
Output: d ) 9
Problem: sheila works 8 hours per day on monday , wednesday and friday , and 6 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 360 per week . how much does she earn in dollars per hour ?
Output: 10
Problem: the h . c . f . of two numbers is 30 and the other two factors of their l . c . m . are 15 and 12 . the larger of the two numbers is
Output: 450
Problem: the difference between the place values of two nines in the numerical 62039295 is
Output: 8910
Problem: dacid obtained 90 , 92 , 85 , 87 and 85 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?
Output: 88
Problem: in a group of 6 boys and 4 girls , four children are to be selected . in how many different ways can they be selected ?
Output: 210
Problem: in a certain town , the ratio of ny yankees fans to ny mets fans is 3 : 2 , and the ratio of ny mets fans to boston red sox fans is 4 : 5 . if there are 360 baseball fans in the town , each of whom is a fan of exactly one of those three teams , how many ny mets fans are there in this town ?
Output: 96', 'b ) 108', 'c ) 120', 'd ) 132', 'e ) 140'
Problem: the sum of ages of 5 children born at the intervals of 3 years each is 55 years . what is the age of the youngest child ?
Output: 5 years
Problem: a man invested rs . 14,400 in rs . 100 shares of a company at 25 % premium . if the company declares 5 % dividend at the end of the year , then how much does he get ?
Output: rs . 576
Problem: a ladder 22 feet long is leaning against a wall that is perpendicular to level ground . the bottom of the ladder is 7 feet from the base of the wall . if the top of the ladder slips down 3 feet , how many feet will the bottom of the ladder slip ?
Output: 12.86
Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of hydrogen are there in 117 grams of water ?
Output: 13
Problem: if a tire rotates at 400 revolutions per minute when the car is traveling 24 km / h , what is the circumference of the tire ?
Output: 1 meters
Problem: a can do a work in 15 days and b in 20 days . if they work on it together for 7 days , then the fraction of the work that is left is
Output: 11 / 6
Problem: workers decided to raise rs . 3 lacs by equal contribution from each . had they contributed rs . 50 eachextra , the contribution would have been rs . 3.75 lacs . how many workers were they ?
Output: 1500
Problem: 40 % of a number is added to 60 , the result is the same number . find the number ?
Output: 100
Problem: in right triangle abc , ac is the hypotenuse . if ac is 35 and ab + bc = 55 , what is the area of the triangle abc ?
Output: 450
Problem: what is the smallest integer that is multiple of 5 , 711
Output: c ) 385
Problem: jack and jill are marathon runners . jack can finish a marathon ( 42 km ) in 7 hours and jill can run a marathon in 4.2 hours . what is the ratio of their average running speed ? ( jack : jill )
Output: 5 / 5
Problem: the average waight of a , b , c is 45 kg . the avgwgt of a & b be 40 kg & that of b , c be 43 kg . find the wgt of b .
Output: 31 kg
Problem: a father is now 3 times as old as his son . 8 years back , he was 4 times as old as his son . the age of the son ( in years ) is
Output: 24
Problem: a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 40 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . )
Output: $ 30,96
Problem: in a house a hall is 20 m long , 15 m wide and 5 m high . its interior has to be covered with mat . what will be the total expenditure if it costs rs . 40 per square m ?
Output: s . 38000
Problem: at a restaurant , glasses are stored in two different - sized boxes . one box contains 12 glasses , and the other contains 16 glasses . if the average number of glasses per box is 15 , and there are 16 more of the larger boxes , what is the total number of glasses e at the restaurant ? ( assume that all boxes are filled to capacity . )
Output: e = 48
Problem: rajani has to read a book of 445 pages . she has already read the first 157 pages of the book and if she reads 24 pages of the book everyday then how long will she take now to complete the book ?
Output: none of thes
Problem: when positive integer n is divided by 3 , the remainder is 1 . when n is divided by 7 , the remainder is 5 . what is the smallest positive integer k such that k + n is a multiple of 21 ?
Output: 2
Problem: a sum of money becomes 7 / 6 of itself in 7 years at a certain rate of simple interest . the rate per annum is ?
Output: 50 / 21
Problem: a ship 77 km from the shore , springs a leak which admits to 9 / 4 tonnes of water in 11 / 2 minutes . 92 tonnes of water would sink it . but the pumps can throw out 12 tonnes of water per hour . find the average rate of sailing so that the ship may just reach the shore as it begins to sink .
Output: 10.5
Problem: a library has an average of 600 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is :
Output: 300
Problem: the lcm of two numbers is 2310 and hcf is 30 . if one of the numbers is 210 . then what is the other number ?
Output: 330
Problem: a small college reduced its faculty by approximately 15 percent to 195 professors . what was the original number of faculty members ?
Output: 229
Problem: how many seconds will a train 60 meters long take to cross a bridge 120 meters long if the speed of the train is 30 m / sec ?
Output: 6 sec
Problem: if the sides of a rectangle are increased by 35 % , what is the percentage increase in the area ?
Output: 82.25 %
Problem: the length of the bridge , which a train 120 m long and traveling at 45 km / hr can cross in 30 sec is ?
Output: 25
Problem: 4 , 12 , 48 , 240 , 1440 , 10080,80640 ( . . . )
Output: 72576
Problem: if a person walks at 20 km / hr instead of 10 km / hr , he would have walked 40 km more . the actual distance traveled by him is ?
Output: 40 km
Problem: there are 840 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: 140
Problem: the percentage increase in the area of a rectangle , if each of its sides is increased by 20 % is ?
Output: 44 %
Problem: the average temperature for monday , tuesday , wednesday and thursday was 48 degrees and for tuesday , wednesday , thursday and friday was 46 degrees . if the temperature on monday was 40 degrees . find the temperature on friday ?
Output: 32 degrees
Problem: difference between the length & breadth of a rectangle is 30 m . if its perimeter is 300 m , then its area is ? ? we have : ( l - b ) = 30 and 2 ( l + b ) = 300 or ( l + b ) = 150 ?
Output: 3 :
Problem: what is the maximum number e of 27 cubic centimetre cubes that can fit in a rectangular box measuring 8 centimetre x 9 centimetre x 12 centimetre ?
Output: 24', 'd ) 21', 'e ) 15'
Problem: if the area of a circle is 16 pi square feet , find its circumference .
Output: 8 pi feet
Problem: 892.7 – 573.07 – 95.007 = ?
Output: 224.623
Problem: find k if 64 / k = 4 .
Output: 16
Problem: if 1 + 3 = 10 ; 3 + 5 = 52 ; 5 + 7 = 174 then 7 + 11 = ?
Output: 46
Problem: 10 play kabadi , 30 play kho kho only , 5 play both gmaes . then how many in total ?
Output: 40
Problem: 14 men make 1400 toy in 5 days 1 day after work 14 more worker join now how may days work can finish
Output: 2 days
Problem: what ratio must a shopkeepermix peas and soybean of rs . 16 and rs . 25 / kg , as to obtain a mixture of rs . 19.50 ?
Output: 11 : 7
Problem: a sum of rs 468.75 was lent out at simple interest and at the end of 1 year and 8 months , the total amount of rs 500 is received . find the rate of interest ?
Output: 4 %
Problem: how many positive integers less than 5,000 are evenly divisible by neither 14 nor 21 ?
Output: 4,34
Problem: a student chose a number , multiplied it by 2 , then subtracted 138 from the result and got 110 . what was the number he chose ?
Output: 124
Problem: a solid yellow stripe is to be painted in the middle of a certain highway . if 1 gallon of paint covers an area of q square feet of highway , how many gallons of paint will be needed to paint a stripe of t inches wide on a stretch of highway m miles long ? ( 1 mile = 5,280 feet and 1 foot = 12 inches )
Output: ( 5,280 mt ) / 12 q', 'b ) ( 5,280 pt ) / 12 m', 'c ) ( 5,280 pmt ) / 12', 'd ) ( 5,280 ) ( 12 m ) / pt', 'e ) ( 5,280 ) ( 12 p ) / mt'
Problem: a man buys 20 lts of liquid which contains 30 % of the liquid and the rest is water . he then mixes it with 20 lts of another mixture with 20 % of liquid . what is the % of water in the new mixture ?
Output: 75
Problem: the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 14 cm each . the radius of the sphere is
Output: 7 cm
Problem: if 8 men or 12 women can do a piece of work in 30 days , in how many days can the same work be done by 6 men and 11 women ?
Output: 18 day
Problem: how many positive integer solutions does the equation 8 x + 2 y = 100 have ?
Output: 84
Problem: set s consists of integers { 8 , 11 , 12 , 14 , 15 } . if integer n is included in the set , the average ( arithmetic mean ) of set s will increase by 25 % . what is the value of integer n ?
Output: 40
Problem: the average marks obtained by 50 candidates in a certain examination is 40 . find the total marks .
Output: 2000
Problem: a man sitting in a train which is travelling at 64 kmph observes that a goods train travelling in a opposite direction , takes 18 seconds to pass him . if the goods train is 420 m long , find its speed .
Output: 20
Problem: the speed of a car is 95 km in the first hour and 60 km in the second hour . what is the average speed of the car ?
Output: 77.5 kmph
Problem: an article is bought for rs . 675 and sold for rs . 800 , find the gain percent ?
Output: 18 %
Problem: a company recently conducted a survey and found that 40,000 of its customers live in rural areas . if the number of customers who live in urban areas is 137 percent greater than the number of customers who live in rural areas , how many customers live in urban areas ?
Output: 94,80
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 30 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: 32.
Problem: 3 ltr of water is added with 9 ltr of a solution containing 57 % of alcohol in the water . the % of alcohol in the new mixture is ?
Output: 42.75 %
Problem: if x = 3 ^ 9 and x ^ x = 3 ^ k , what is k ?
Output: 3 ^ 11
Problem: carol spends 1 / 4 of her savings on a stereo and 1 / 2 less than she spent on the stereo for a television . what fraction of her savings did she spend on the stereo and television ?
Output: 3 / 8
Problem: a grocer purchased a quantity of bananas at 3 pounds for $ 0.50 and sold the entire quantity at 4 pounds for $ 1.00 . how many pounds did the grocer purchase if the profit from selling the bananas was $ 11.00 ?
Output: 132
Problem: for all numbers a and b , the operation is defined by ab = ( a + 2 ) ( b – 3 ) . if 3 x = – 20 , then x =
Output: -
Problem: the length and breadth of a rectangle is increased by 5 % and 15 % respectively . what is the increase in the area ?
Output: 20.75
Problem: a train running at the speed of 40 km / hr crosses a pole in 9 seconds . what is the length of the train ?
Output: 100 meter
Problem: a chemical supply company has 60 liters of a 35 % hno 3 solution . how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution ?
Output: 18
Problem: in how many no . between 10 and 30 exactly two of the digits is 2 ?
Output: 1
Problem: the batting average of a particular batsman is 60 runs in 46 innings . if the difference in his highest and lowest score is 140 runs and his average excluding these two innings is 58 runs , find his highest score .
Output: 17
Problem: if m ^ 2 - 8 m + 1 = 0 , then m ^ 3 + m ^ ( - 3 ) = ?
Output: 488
Problem: if 3 a – 3 b – 2 c = 32 and √ 3 a - √ ( 2 b + 2 c ) = 4 , what is the value of a + b + c ?
Output: 10
Problem: a farmer with 1,350 acres of land had planted his fields with corn , sugar cane , and tobacco in the ratio of 5 : 2 : 2 , respectively , but he wanted to make more money , so he shifted the ratio to 2 : 3 : 4 , respectively . how many more acres of land were planted with tobacco under the new system ?
Output: 300
Problem: in a group of 100 cars , 47 cars do not have air conditioning . if at least 55 cars have racing stripes , what is the greatest number of cars that could have air conditioning but not racing stripes ?
Output: 45
Problem: at a certain conference , 78 % of the attendees registered at least two weeks in advance and paid their conference fee in full . if 10 % of the attendees who paid their conference fee in full did not register at least two weeks in advance , what percent of conference attendees registered at least two weeks in advance ?
Output: 86.67 %
Problem: a can do a piece of work in 22 days and b alone can do it in 10 days . b works at it for 5 days and then leaves . a alone can finish the remaining work in
Output: 11 days
Problem: if the volume of two cubes are in the ratio 8 : 1 , the ratio of their edges is :
Output: 2 : 1', 'b ) 3 : 2', 'c ) 3 : 5', 'd ) 3 : 7', 'e ) none of these'
Problem: what is the dividend . divisor 15 , the quotient is 8 and the remainder is 5
Output: d ) 125
Problem: x can do a piece of work in 40 days . he works at it for 8 days and then y finished it in 20 days . how long will y take to complete the work ?
Output: 25
Problem: the population of a town is 10000 . it increases annually at the rate of 20 % p . a . what will be its population after 5 years ?
Output: 24883
Problem: by selling an article at rs . 500 , a profit of 25 % is made . find its cost price ?
Output: 400
Problem: in a class of 32 students , 12 enrolled for both english and german . 22 enrolled for german . if the students of the class enrolled for at least one of the two subjects , then how many students enrolled for only english and not german ?
Output: 10
Problem: the ratio of radius of a circle and the side of a square is 2 : 5 . find the ratio of their areas :
Output: 4 : 25
Problem: a lion chases a pony 7 hours after the pony runs . lion takes 8 hours to reach the pony . if the average speed of the lion is 49 kmph , what s the average speed of the pony ?
Output: 29.4 kmp
Problem: on the independence day , bananas were be equally distributed among the children in a school so that each child would get two bananas . on the particular day 360 children were absent and as a result each child got two extra bananas . find the actual number of children in the school ?
Output: 72
Problem: the cash realised on selling a 14 % stock is rs . 106.25 , brokerage being 1 / 4 % is ?
Output: 106
Problem: a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 900 , what is the reduced price for kg ?
Output: 45
Problem: rectangular tile each of size 80 cm by 55 cm must be laid horizontally on a rectangular floor of size 210 cm by 330 cm , such that the tiles do not overlap and they are placed with edges jutting against each other on all edges . a tile can be placed in any orientation so long as its edges are parallel to the edges of floor . no tile should overshoot any edge of the floor . the maximum number of tiles that can be accommodated on the floor is :
Output: 16
Problem: sowdharya had 90 currency notes in all , some of which are of rs 95 denomination and the remaining of rs 45 denomination . the total amount of all these currency notes was rs . 5000 . how much amount ( in rs ) did she have in the denomination of rs 45 ?
Output: 71
Problem: if an investor puts $ 700 in a savings account that earns 10 percent annual interest compounded semiannually , how much money will be in the account after one year ?
Output: $ 771.75
Problem: a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1000 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ?
Output: 12000
Problem: to deliver an order on time , a company has to make 25 parts a day . after making 25 parts per day for 3 days , the company started to produce 5 more parts per day , and by the last day of work 100 more parts than planned were produced . find how many parts the company made and how many days this took .
Output: 67
Problem: how many positive integers less than 100 have a reminder 5 when divided by 7 ?
Output: 14
Problem: what is the 10 th digit of ( 5 ! * 4 ! * 4 ! - 5 ! * 4 ! * 3 ! ) / 2880 ?
Output: 1
Problem: a hollow iron pipe is 21 cm long and its external diameter is 8 cm . if the thickness of the pipe is 1 cm and iron weights 8 g / cm cube , then find the weight of the pipe .
Output: 3.696 kg', 'b ) 3.686 kg', 'c ) 2.696 kg', 'd ) 2.686 kg', 'e ) none of these'
Problem: village x has a population of 72000 , which is decreasing at the rate of 1200 per year . village y has a population of 42000 , which is increasing at the rate of 800 per year . in how many years will the population of the two villages be equal ?
Output: 15
Problem: what is the probability of getting a sum of 8 or 14 when rolling 3 dice simultaneously ?
Output: 1 / 6
Problem: a person purchases 90 clocks and sells 40 clocks at a gain of 10 % and 50 clocks at a gain of 20 % . if he sold all of them at a uniform profit of 15 % , then he would have got rs . 40 less . the cost price of each clock is :
Output: 80
Problem: what is the cost of leveling the field in the form of parallelogram at the rate of rs . 60 / 10 sq . metre , whose base & perpendicular distance from the other side being 34 m & 34 m respectively ?
Output: s . 1156
Problem: find the remainder of the division ( 3 ^ 33 ) / 7 .
Problem: an inspector rejects 0.05 % of the meters as defective . how many will he examine to reject 4 ?
Output: 8000
Problem: a train passes a platform in 34 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is
Output: 210 meter
Problem: the average age of 15 students of a class is 15 years . out of these , the average age of 3 students is 14 years and that of the other 11 students is 16 years . the age of the 15 th student is
Output: 7 years
Problem: a number x is 6 times another number y . the percentage that y is less than x is
Output: 83.3 %
Problem: liam is pulled over for speeding just as he is arriving at work . he explains to the police officer that he could not afford to be late today , and has arrived at work only four minutes before he is to start . the officer explains that if liam had driven 5 mph slower for his whole commute , he would have arrived at work exactly on time . if liam ' s commute is 10 miles long , how fast was he actually driving ? ( assume that liam drove at a constant speed for the duration of his commute . )
Output: 30 mph
Problem: what is the compound interest paid on a sum of rs . 3000 for the period of 2 years at 10 % per annum .
Output: 630
Problem: what is the least integer greater than – 2 + 0.5 ?
Output: – 1
Problem: if 5 x + y = 15 , 5 y + z = 25 and 2 z + x = 2 , what is the value of x ?
Output: 2
Problem: a boy perform 5 times a reaction and his reading are 2 , 2.1 , 2 , 2.2 but unfortunately 5 th reading clearly not visible because a drop of chemical fall onto it . but luckily he have mean of all reading which is 2 . please help him in finding 5 th reading .
Output: 1.7
Problem: thirty percent of the members of a swim club have passed the lifesaving test . among the members who have not passed the test , 12 have taken the preparatory course and 30 have not taken the course . how many members are there in the swim club ?
Output: 60
Problem: a certain rectangular window is ( 1 / 3 ) times as long as it is wide . if its perimeter is 28 feet , what are its dimensions in terms of length by width ?
Output: 10.5 by 3.5', 'd ) 10 by 4', 'e ) 9 by 3'
Problem: there are 8 teams in a certain league and each team plays each of the other teams exactly once . if each game is played by 2 teams , what is the total number of games played ?
Output: 28
Problem: 3 candidates in an election and received 1136 , 7636 and 11628 votes respectively . what % of the total votes did the winning candidate gotin that election ?
Output: 57 %
Problem: if p is the product of the integers from 1 to 36 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of p ?
Output: 17
Problem: at what rate percent on simple interest will rs . 1750 amount to rs . 2000 in 3 years ?
Output: 4.76 %
Problem: what is the total surface area in square meters of a rectangular solid whose length is 8 meters , width is 7 meters , and depth is 4 meters ?
Output: 132 m 2
Problem: the perimeter of a square is equal to the perimeter of a rectangle of length 19 cm and breadth 14 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places )
Output: 25.9
Problem: john and steve are speed walkers in a race . john is 15 meters behind steve when he begins his final push . john blazes to the finish at a pace of 4.2 m / s , while steve maintains a blistering 3.7 m / s speed . if john finishes the race 2 meters ahead of steve , how long was john ’ s final push ?
Output: 34 seconds
Problem: a ratio between two numbers is 3 : 4 and their l . c . m . is 84 . the first number is
Output: 21
Problem: the principal that amounts to rs . 4813 in 3 years at 6 1 / 4 % per annum c . i . compounded annually , is ?
Output: s . 4036
Problem: the area of a rectangular plot is 18 times its breadth . if the difference between the length and the breadth is 10 metres , what is its breadth ?
Output: 8 metres
Problem: in a certain archery competition , points were awarded as follows : the first place winner receives 11 points , the second place winner receives 7 points , the third place winner receives 5 points and the fourth place winner receives 2 points . no other points are awarded . john participated several times in the competition and finished first , second , third , or fourth each time . the product of all the points he received was 38500 . how many times did he participate in the competition ?
Output: 7
Problem: the first flight out of phoenix airport had a late departure . if the next 3 flights departed on - time , how many subsequent flights need to depart from phoenix on - time , for the airport ' s on - time departure rate to be higher than 40 % ?
Output: 2
Problem: a rainstorm increased the amount of water stored in state j reservoirs from 160 billion gallons to 200 billion gallons . if the storm increased the amount of water in the reservoirs to 40 percent of total capacity , approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm ?
Output: 340
Problem: a number when divided by a divisor leaves a remainder of 23 . when twice the original number is divided by the same divisor , the remainder is 11 . what is the value of the divisor ?
Output: 36
Problem: two years ago , ram put $ 500 into a savings account . at the end of the first year , his account had accrued $ 100 in interest bringing his total balance to $ 600 . the next year , his account balance increased by 10 % . at the end of the two years , by what percent has ram ' s account balance increased from his initial deposit of $ 500 ?
Output: 32 %
Problem: population of a city in 20004 was 1000000 . if in 2005 there isan increment of 10 % , in 2006 there is a decrements of 35 % and in 2007 there is an increment of 45 % , then find the population of city atthe end of the year 2007
Output: 1036750
Problem: if the sum of two numbers is 45 and the h . c . f and l . c . m of these numbers are 3 and 100 respectively , then the sum of the reciprocal of the numbers is equal to :
Output: 103 / 300
Problem: what is the value of ( 2 ) ^ - 3 ?
Output: 1 / 8
Problem: mr . kramer , the losing candidate in a two - candidate election , received 942,568 votes , which was exactly 45 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: 9 %
Problem: pipe a can fill a tank in 6 hours . due to a leak at the bottom , it takes 12 hours for the pipe a to fill the tank . in what time can the leak alone empty the full tank ?
Output: 1
Problem: w and x start a business with rs . 5000 and rs . 20000 respectively . hoe should they share their profits at the end of one year ?
Output: 1 : 4
Problem: in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 80 questions and secures 130 marks , the no of questions he attempts correctly is :
Output: e ) 4
Problem: what is the least number should be added to 1056 , so the sum of the number is completely divisible by 29 ?
Output: 17
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 $ 1455 , what was the total number of pairs of contact lenses that she sold ?
Output: 11
Problem: if the price of an article went up by 30 % , then by what percent should it be brought down to bring it back to its original price ?
Output: 23 1 / 13 %
Problem: if n is the product of all the integers from 5 to 20 , inclusive , what is the greatest integer k for which 2 ^ k is a factor of n ?
Output: 1
Problem: the perimeter of an isosceles right triangle is 14 + 14 sq rt 2 . what is the length of the hypotenuse of the triangle ?
Output: 9.89
Problem: sushil got thrice as many marks in english as in science . his total marks in english , science and maths are 180 . if the ratio of his marks in english and maths is 1 : 2 , find his marks in science ?
Output: 19
Problem: what is 82 % of 3 / 5 ?
Output: 0.492
Problem: country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 9 % . if ron imported a $ 18000 imported car and ended up paying $ 1950 in taxes , what is the first tier ' s price level ?
Output: $ 11000
Problem: a 90 cm long wire is to be cut into two pieces so that one piece will be 2 / 7 th of the other , how many centimeters will the shorter piece be ?
Output: b ) 20
Problem: the sum of 3 integers is 33 . the largest integer is 3 times the middle integer , and the smallest integer is 23 less than the largest integer . what is the product of the 3 integers ?
Output: 192
Problem: how many integers between 1 and 10 ^ 19 are such that the sum of their digits is 2 ?
Output: 190
Problem: joe ’ s average ( arithmetic mean ) test score across 4 equally weighted tests was 70 . he was allowed to drop his lowest score . after doing so , his average test score improved to 75 . what is the lowest test score that was dropped ?
Output: 55
Problem: an error 2 % in excess is made while measuring the sideofa square . the % of error in the calculated area of the square is ?
Output: 4.04 %
Problem: what is the normal price of an article sold at $ 144 after two successive discounts of 10 % and 20 % ?
Output: $ 200
Problem: the length of a room is 6.5 m and width is 2.75 m . what is the cost of paying the floor by slabs at the rate of rs . 600 per sq . metre .
Output: rs . 10725
Problem: the number of diagonals of a polygon of n sides is given by the formula v = n ( n - 3 ) / 2 . if a polygon has twice as many diagonals as sides , how many sides does it have ?
Output: 5
Problem: what is the least common multiple of 12,27 and 40
Output: 1080
Problem: saturn travels around the sun at an approximate speed of 5.82 miles per second . this speed is how many kilometers per hour ? ( 1 km = 0.6 miles )
Output: 34,92
Problem: total 30 cows 10 cow gives each 2 liter milk 10 cow gives each 3 / 4 liter milk 10 cow gives each 1 / 4 liter milk this is split into 3 son per each 10 cows & 10 liter milk how ?
Output: 10
Problem: if 15 % of 30 % of 50 % of a number is 108 , then what is the number ?
Output: 4800
Problem: andy solves problems 75 to 125 inclusive in a math exercise . how many problems does he solve ?
Output: 51
Problem: if a boat goes 7 km upstream in 42 minutes and the speed of the stream is 6 kmph , then the speed of the boat in still water is
Output: none of thes
Problem: a worker earns $ 20 on the first day and spends $ 15 on the second day . the worker earns $ 20 on the third day and spends $ 15 on the fourth day . if this pattern continues , on which day will the worker first reach a net total of $ 80 ?
Output: 25
Problem: 6 ) a marketing firm determined that , of 260 households surveyed , 80 used neither brand a nor brand b soap . 60 used only brand a soap and for every household that used both brands of soap , 3 used only brand b soap . how many of the 200 household surveyed used both brands of soap ?
Output: c ) 30
Problem: 26 buckets of water fill a tank when the capacity of each bucket is 13.5 litres . how many buckets will be required to fill the same tank if the capacity of each bucket is 9 litres ?
Output: 39
Problem: a train is running at a speed of 40 km / hr and it crosses a post in 22.5 seconds . what is the length of the train ?
Output: 250 metre
Problem: at a florist shop on a certain day , all corsages sold for either $ 20 or $ 30 . if 10 of the corsages that sold for $ 30 had instead sold for $ 20 , then the store ' s revenue from corsages that day would have been reduced by 20 percent . what was the store ' s actual revenue from corsages that day ?
Output: $ 500
Problem: it is currently 8 : 12 pm . at what time in the morning was it exactly 205,106 minutes ago ?
Output: 9 : 4
Problem: a circular ground whose diameter is 70 metres , has a 2.8 metre - broad garden around it . what is the area of the garden in square metres ?
Output: 640.64
Problem: a 70 kg metal bar made of alloy of tin and silver lost 7 kg of its weight in the water . 10 kg of tin loses 1.375 kg in the water ; 5 kg of silver loses 0.375 kg . what is the ratio of tin to silver in the bar ?
Output: 2 /
Problem: what is the rate percent when the simple interest on rs . 720 amount to rs . 180 in 4 years ?
Output: 6.25
Problem: when 242 is divided by a certain divisor the remainder obtained is 15 . when 698 is divided by the same divisor the remainder obtained is 27 . however , when the sum of the two numbers 242 and 698 is divided by the divisor , the remainder obtained is 5 . what is the value of the divisor ?
Output: 3
Problem: if 25 % of a number is equal to one - third of another number , what is the ratio of first number to the second number ?
Output: 4 : 3
Problem: gold is 19 times as heavy as water and copper is 9 times as heavy as water . in what ratio should these be mixed to get an alloy 15 times as heavy as water ?
Output: 3 : 2
Problem: find the cost of fencing around a circular field of diameter 32 m at the rate of rs . 2 a meter ?
Output: 201
Problem: how many liters of pure alcohol must be added to a 100 - liter solution that is 20 percent alcohol in order to produce a solution that is 40 percent alcohol ?
Output: 100 / 3