niryuu/sni-each-converted huggingface dataset:
Problem: the cost of 8 dozen pencil and 2 dozen note book is 520 rupee . if cost of 3 pencil and 4 note book is 60 rupee , then sum of the cost of 1 pencil and 1 note book will be ( in rupee )
Output: rs 15.51
Problem: 8 years ago , p was half of q ' s age . if the ratio of their present ages is 3 : 4 what will be the total of their present ages ?
Output: 28
Problem: selling an kite for rs . 30 , a shop keeper gains 15 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?
Output: 3.5 %
Problem: john makes $ 40 a week from his job . he earns a raise and now makes $ 80 a week . what is the % increase ?
Output: 100
Problem: a part of certain sum of money is invested at 16 % per annum and the rest at 20 % per annum , if the interest earned in each case for the same period is equal , then ratio of the sums invested is ?
Output: 5 :
Problem: the average of 6 no . ' s is 4.60 . the average of 2 of them is 3.4 , while the average of the other 2 is 3.8 . what is the average of the remaining 2 no ' s ?
Output: 6.6
Problem: at a certain bowling alley , it costs $ 0.50 to rent bowling shoes for the day and $ 1.25 to bowl 2 games . if a person has $ 12.80 and must rent shoes , what is the greatest number of complete games that person can bowl in one day ?
Output: 19
Problem: if the product of the integers from 1 to n is divisible by 378 , what is the least possible value of n ?
Output: 9
Problem: what is the value of ( 3 ) ^ - 4 ?
Output: 1 / 81
Problem: what least number must be subtracted from 13294 so that the remainder is exactly divisible by 97 ?
Output: 5
Problem: the price of an item is discounted 5 percent on day 1 of a sale . on day 2 , the item is discounted another 10 percent , and on day 3 , it is discounted an additional 15 percent . the price of the item on day 3 is what percentage of the sale price on day 1 ?
Output: 76.5 %
Problem: amar takes as much time in running 18 meters as a car takes in covering 12 meters . what will be the distance covered by amar during the time the car covers 1.6 km ?
Output: 2400 m
Problem: with both valves open , the pool will be filled with water in 48 minutes . the first valve alone would fill the pool in 2 hours . if the second valve emits 50 cubic meters of water more than the first every minute , then what is the capacity w of the pool ?
Output: 12000 cubic meters
Problem: if n = 2 ^ 0.15 and n ^ b = 1 , b must equal
Output: 20 / 3
Problem: the average speed of a car is 1 4 / 5 times the avg speed of a bike . a tractor covers 575 km in 23 hrs . how much distance will the car cover in 4 hrs if the speed of the bike is twice speed of the tractor ?
Output: 360 km
Problem: find the sum of first 89 odd numbers
Output: 7921
Problem: a man bought an article and sold it at a gain of 5 % . if he had bought it at 5 % less and sold it for re 5 less , he would have made a profit of 10 % . the c . p . of the article was
Output: 100
Problem: the difference between a number and its 3 - fourth is 100 . what is 25 % of that number ?
Output: 100
Problem: i chose a number and divide it by 4 . then i subtracted 175 from the result and got 10 . what was the number i chose ?
Output: 740
Problem: ramu bought an old car for rs . 42000 . he spent rs . 15000 on repairs and sold it for rs . 64900 . what is his profit percent ?
Output: 13.8
Problem: how many 3 digit numbers n are divisible by 78 or 91 ?
Output: 19
Problem: the length and breadth of a rectangle is increased by 3 % and 6 % respectively . what is the increase in the area ?
Output: 9.18
Problem: a sells a bicycle to b and makes a profit of 60 % . 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: 112.
Problem: a shopkeeper buys mangoes at the rate of 5 a rupee and sells them at 2 a rupee . find his net profit or loss percent ?
Output: 150 %
Problem: find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 14 cm .
Output: 266 cm
Problem: if x is 50 percent greater than 88 , then x =
Output: 132
Problem: if x represents the product of the first 15 positive integers , then x is not a multiple of :
Output: d ) 57
Problem: a can complete a project in 20 days and b can complete the same project in 40 days . if a and b start working on the project together and a quits 10 days before the project is completed , in how many days will the project be completed ?
Output: 20 days
Problem: . 005 / ? = . 01
Output: . 5
Problem: the sum of two consecutive integers is 51 . find the numbers .
Output: 25,2
Problem: a can finish a work in 12 days and b can do same work in half the time taken by a . then working together , what part of same work they can finish in a day ?
Output: 1 / 4
Problem: a train speeds past a pole in 25 seconds and a platform 150 m long in 30 seconds . its length is ?
Output: 30
Problem: the sum of all the digits of the integers from 18 to 21 inclusive is 24 ( 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24 ) . what is the sum e of all the digits of the integers from 0 to 99 inclusive ?
Output: 900
Problem: if m is the average ( arithmetic mean ) of the first 10 positive multiples of 3 and if m is the median of the first 10 positive multiples of 3 , what is the value of m – m ?
Output: 0
Problem: subtracting 3 % of a from a is equivalent to multiplying a by how much ?
Output: 0.97
Problem: sachin is older than rahul by 7 years . if the ratio of their ages is 11 : 9 , find the age of sachin
Output: 38.5
Problem: when a certain number x is divided by 61 , the remainder is 24 . what is the remainder when x is divided by 5 ?
Output: 4
Problem: solve below question 2 x + 1 = - 19
Output: - 1
Problem: a train 150 m long can cross an electric pole in 3 sec and then find the speed of the train ?
Output: 180
Problem: approximately how many revolutions will be made by a car tire with a 10 - inch diameter if the car travels 1 ⁄ 2 mile ?
Output: 1003
Problem: calculate the share of z , if rs . 3720 is divided among x , y and z in the ratio 7 : 8 : 11 ?
Output: 1574.1
Problem: the area of a triangle is with base 18 m and height 6 m ?
Output: 54 m 2
Problem: if a population of women in a town is 50 % of men . what is the population of men as a % of population of women ?
Output: 200 %
Problem: 225 mtrs long yard , 26 trees are palnted at equal distances , one tree being at each end of the yard . what is the distance between 2 consecutive trees ?
Output: 10
Problem: in a circuit board factory , all circuit boards that pass a verification process are certified . every board that fails the verification process is indeed faulty , but 1 / 8 of those that pass are also faulty . approximately how many faulty circuit boards exist in a group of 3,200 circuit boards where 64 fail inspection ?
Output: 456
Problem: the rate of spin of a certain gyroscope doubled every 15 seconds from the moment a particular stopwatch started . if after a minute and a half the gyroscope reached a speed of 400 meters per second , what was the speed , in meters per second , when the stopwatch was started ?
Output: 25 / 4
Problem: the area of a parallelogram is 288 sq m and its altitude is twice the corresponding base . then the length of the base is ?
Output: 12
Problem: robert ' s salary was increased by 50 % and subsequently decreased by 10 % . how much percentage does he gain ?
Output: 15 %
Problem: the average ( arithmetic mean ) of 7 , 8 , 10 and 11 equals the average of 2 , 9 , 13 , and
Output: 12
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 . 29.16 , the number of the member is the group is :
Output: 54
Problem: a dishonest dealer professes to sell goods at the cost price but uses a weight of 800 grams per kg , what is his percent ?
Output: 25 %
Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 66 kg . what might be the weight of the new person ?
Output: 86 kg
Problem: if ( 5 ^ 9 ) ( 9 ^ 5 ) = 3 ( 15 ^ x ) , what is the value of x ?
Output: 9
Problem: a boat having a length 8 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :
Output: 160 kg
Problem: what is the sum between the place values of two 3 ' s in the numeral 63130
Output: 3030
Problem: lloyd normally works 7.5 hours per day and earns $ 4.00 per hour . for each hour he works in excess of 7.5 hours on a given day , he is paid 1.5 times his regular rate . if lloyd works 10.5 hours on a given day , how much does he earn for that day ?
Output: $ 48.00
Problem: the average weight of 20 boys in a class is 50.25 kg and that of the remaining 8 boys is 45.15 kg . find the average weights of all the boys in the class .
Output: 48.79286
Problem: what is the difference between the c . i . on rs . 9000 for 1 1 / 2 years at 4 % per annum compounded yearly and half - yearly ?
Output: s . 3.67
Problem: a tank is filled by 3 pipes a , b , c in 3 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?
Output: 21 h
Problem: a girl multiplies 987 by a certain number and obtains 559981 as her answer . if in the answer , both 9 ’ s are wrong but the other digits are correct , then the correct answer will be
Output: 555681
Problem: subash can copy 50 pages in 10 hrs . subash and prakash together can copy 300 pages in 40 hours . in how much time prakash can copy 20 pages .
Output: 8
Problem: a couple spent $ 198 in total while dining out and paid this amount using a credit card . the $ 198 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: $ 150
Problem: in an election , candidate douglas won 58 percent of the total vote in counties x and y . he won 64 percent of the vote in county x . if the ratio of people who voted in county x to county y is 2 : 1 , what percent of the vote did candidate douglas win in county y ?
Output: 46
Problem: if x is an integer and 2.134 × 10 ^ x is less than 21,000 , what is the greatest possible value for x ?
Problem: a cistern has a leak which would empty the cistern in 20 minutes . a tap is turned on which admits 4 liters a minute into the cistern , and it is emptied in 24 minutes . how many liters does the cistern hold ? a . 480 liters
Output: 480
Problem: what is the units digit of ( 147 ^ 17 ) ^ 48 ?
Output: 1
Problem: from an island , it is possible to reach the mainland by either ferry p or ferry q . ferry p travels for 3 hours at 8 kilometers per hour , while ferry q takes a route that is two times longer . if ferry p is slower than ferry q by 4 kilometers per hour , how many hours longer is the journey of ferry q compared with the journey of ferry p ?
Output: 1
Problem: find the cost of fencing around a circular field of diameter 39 m at the rate of rs . 1.50 a meter ?
Output: 128.7
Problem: the average weight of a group of persons increased from 48 kg to 51 kg , when two persons weighing 78 kg and 93 kg join the group . find the initial number of members in the group ?
Output: 23
Problem: in δ pqs above , if pq = 4 and ps = 5 , then
Output: 10 /
Problem: convert 0.34 in to a vulgar fraction ?
Output: 17 / 50
Problem: dhoni bought 5 toys with the average cost of $ 10 . if david also buys the sixth toy with the price of $ 16 , what is the average ( arithmetic mean ) price of those 6 toys ?
Output: $ 1
Problem: a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 40 seconds . what is the length of the train in meters ?
Output: 400 meters
Problem: a train running at a speed of 36 kmph crosses an electric pole in 12 seconds . in how much time will it cross a 350 m long platform ?
Output: 47 sec
Problem: gold is 10 times as heavy as water and copper is 6 times as heavy as water . in what ratio should these be mixed to get an alloy 8 times as heavy as water ?
Output: 1 : 1
Problem: points a , b , and , c have xy - coordinates ( 2,0 ) , ( 8,12 ) , and ( 14,0 ) , respectively . points x , y , and z have xy - coordinates ( 6,0 ) , ( 8,4 ) , and ( 10,0 ) , respectively . what fraction q of the area of triangle abc is the area of triangle xyz ?
Output: 1 / 9
Problem: what will be the compound interest on a sum of rs . 20,000 after 3 years at the rate of 12 % p . a . ?
Output: rs . 8098.56
Problem: a waitress ' s income consists of her salary and tips . during one week , her tips were 3 / 4 of her salary . what fraction of her income for the week came from tips ?
Output: 3 / 7
Problem: the height of a triangle is decreased by 5 % and its base increased by 10 % . its area will
Output: increase by 4.5 %', 'd ) increase by 25 %', 'e ) none of these'
Problem: how many different positive integers exist between 10 ^ 5 and 10 ^ 6 , the sum of whose digits is equal to 2 ?
Output: 6
Problem: the average age of 20 students of a class is 20 years . out of these , the average age of 9 students is 11 years and that of the other 10 students is 24 years . the age of the 20 th student is ?
Output: 61
Problem: a man engaged a servant on the condition that he would pay him rs . 500 and a uniform after one year service . he served only for 9 months and received uniform and rs . 300 , find the price of the uniform ?
Output: s . 300
Problem: a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 800 sq . ft , how many feet of fencing will be required ?
Output: 100 feet
Problem: a man buys a cycle for rs . 1400 and sells it at a loss of 10 % . what is the selling price of the cycle ?
Output: non
Problem: every day daniel drives 60 miles back from work . on sunday , daniel drove all the way back from work at a constant speed of x miles per hour . on monday , daniel drove the first 32 miles back from work at ( 2 x ) miles per hour , and the rest of the way at ( x / 2 ) miles per hour . the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent ?
Output: 20 %
Problem: the length of a rectangle is halved , while its breadth is tripled . watis the % change in area ?
Output: 50 %
Problem: the number of sailors on a ship is 85 % more than the number of officers . the ratio of sailors to officers would be
Output: 37 : 20
Problem: a goods train runs at the speed of 72 km / hr and crosses a 270 m long platform in 26 sec . what is the length of the goods train ?
Output: 250
Problem: the volume of water inside a swimming pool doubles every hour . if the pool is filled to its full capacity within 8 hours , in how many hours was it filled to one quarter of its capacity ?
Output: 6', 'e ) 7'
Problem: if pintu is coded as 79523 in a certain code language , how would you code mintu in the same language ?
Output: 49523
Problem: there is a rectangular prism made of 1 in cubes that has been covered in tin foil . there are exactly 128 cubes that are not touching any tin foil on any of their sides . if the width of the figure created by these 128 cubes is twice the length and twice the height , what is the measure y in inches of the width of the foil covered prism ?
Output: 1
Problem: evaluate : 2.5 + 0.0005
Output: 5000
Problem: it costs $ 2 for the first 1 / 5 hour to use the laundry machine at the laundromat . after the first ¼ hour it costs $ 12 per hour . if a certain customer uses the laundry machine for 2 hours and 15 minutes , how much will it cost him ?
Output: $ 29 .
Problem: a train 200 m long can cross an electric pole in 5 sec and then find the speed of the train ?
Output: 144
Problem: water is leaking out from a cylinder container at the rate of 0.31 m ^ 3 per minute . after 10 minutes , the water level decreases 1 / 9 meters . what is value of the radius in meters ?
Output: 3
Problem: a person crosses a 800 m long street in 5 minutes . what is his speed in km per hour ?
Output: 9.6
Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 20 : 50 : 80 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 100 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ?
Output: 640
Problem: in a 100 m race , sam beats john by 5 seconds . on the contrary , if sam allowed john to start 15 m ahead of sam , then sam and john reach the finishing point at the same time . how long does sam take to run the 100 m race ?
Output: 17 second
Problem: a 150 meter long train crosses a man standing on the platform in 3 sec . what is the speed of the train ?
Output: 180 kmp
Problem: in an examination , 300 students appeared . out of these students ; 29 % got first division , 54 % got second division and the remaining just passed . assuming that no student failed ; find the number of students who just passed .
Output: 51
Problem: the length of rectangle is thrice its breadth and its perimeter is 104 m , find the area of the rectangle ?
Output: 507 sq m
Problem: if x + y = 20 , x - y = 36 , for integers of x and y , x = ?
Output: 28
Problem: if x , y is 20 % , 25 % greater than z then how much percentage is x smaller than y ?
Output: 3 11 / 13 %
Problem: the sale price of an article including the sales tax is rs . 616 . the rate of sales tax is 10 % . if the shopkeeper has made a profit of 14 % , then the cost price of the article is :
Output: 540
Problem: the speed of a boat in still water is 14 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 8 minutes is
Output: 2.5 km
Problem: what is the tens digit of 6 ^ 19 ?
Problem: aa is two digit number then m times its cube of aa has 1 in its tens place then what is m .
Problem: a bag contains 3 blue and 5 white marbles . one by one , marbles are drawn out randomly until only two are left in the bag . what is the probability w that out of the two , one is white and one is blue ?
Output: 15 / 28
Problem: the curved surface of a sphere is 64 π cm 2 . find its radius ?
Output: 4', 'd ) 9', 'e ) 7'
Problem: dhoni spent 25 percent of his earning last month on rent and 10 percent less than what he spent on rent to purchase a new dishwasher . what percent of last month ' s earning did dhoni have left over ?
Output: 52.5
Problem: a present value of a machine is $ 800 . its value depletion rate is 10 % per annum then find the machine value after 2 years ?
Output: $ 64
Problem: the effective annual rate of interest corresponding to a nominal rate of 16 % per annum payable half - yearly is ?
Output: 16.64 %
Problem: cost of 2 bats and 3 balls is rs . 1300 . the cost of 3 bats and 2 balls is rs . 1200 . the cost of each balls is more than that of each bat by ?
Output: 100
Problem: m = { - 6 , - 5 , - 4 , - 3 , - 2 } t = { - 2 , - 1 , 1 , 2 , 3 } if an integer is to be randomly selected from set m above and an integer is to be randomly selected from set t above , what is the probability that the product of the two integers will be negative ?
Output: 3 /
Problem: what will be the vulgar fraction of 0.5
Output: 1 / 2
Problem: what is the total cost of 2 sandwiches at $ 2.45 each and 4 sodas at $ 0.87 each ?
Output: $ 8.38
Problem: two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 50 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ?
Output: 45
Problem: set x consists of all two - digit primes and set y consists of all positive even multiples of 5 less than 100 . if the two sets are combined into one , what will be the range of the new set ?
Output: 87
Problem: a woman complete a journey in 5 hours . she travels first half of the journey at the rate of 21 km / hr and second half at the rate of 24 km / hr . find the total journey in km .
Output: 112 km .
Problem: a rectangular field is to be fenced on three sides leaving a side of 34 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ?
Output: 74 ft
Problem: how many shots of 1 cm radius can be prepared from a sphere of 6 cm radius ?
Output: 216
Problem: a man can do a piece of work in 5 days , but with the help of his son , he can finish it in 4 days . in what time can the son do it alone ?
Output: 2
Problem: for a certain exam , a score of 58 was 2 standard deviations below mean and a score of 98 was 3 standard deviations above mean . what was the standard deviation for the exam ?
Output: 8
Problem: a man & his wife appear in an interview for 2 vacancies in the same post . the probability of husband ' s selection is 1 / 7 & the probability of wife ' s selection is 1 / 5 . what is the probability that only 1 of them is selected ?
Output: 2 / 7
Problem: find the length of the wire required to go 11 times round a square field containing 27889 m 2 .
Output: 7348
Problem: a movie buff owns movies on dvd and on blu - ray in a ratio of 7 : 2 . if she buys 4 more blu - ray movies , that ratio would change to 13 : 4 . if she owns movies on no other medium , what was the original number of movies in her library before the extra purchase ?
Output: 23
Problem: there are 25 balls in a jar . you take out 5 blue balls without putting them back inside , and now the probability of pulling out a blue ball is 1 / 5 . how many blue balls were there in the beginning ?
Output: 9 .
Problem: a circular well with a diameter of 4 metres , is dug to a depth of 24 metres . what is the volume of the earth dug out ?
Output: 301.
Problem: priya and her father differ in their ages by 31 years . after 8 years . if the sum of their ages will be 69 , their present ages are
Output: 11
Problem: if 7 spiders make 7 webs in 7 days , then how many days are needed for 1 spider to make 1 web ?
Output: 7
Problem: the price of lunch for 13 people was $ 207 including a 15 % gratuity for service . what was the average price per person , excluding the gratuity ?
Output: 13.85
Problem: a shopkeeper sold an article at $ 1800 with 20 % profit . then find its cost price ?
Output: $ 1500
Problem: find the principle on a certain sum of money at 5 % per annum for 2 years if the amount being rs . 1120 ?
Output: 1018
Problem: a man swims downstream 24 km and upstream 16 km taking 4 hours each time , what is the speed of the man in still water ?
Output: 5
Problem: when positive integer k is divided by 5 , the remainder is 2 . when k is divided by 6 , the remainder is 5 . if k is less than 38 , what is the remainder when k is divided by 7 ?
Output: 3
Problem: a alone can do a piece of work in 6 days and b alone in 8 days . a and b undertook to do it for rs . 6000 . with the help of c , they completed the work in 3 days . how much is to be paid to c ?
Output: s . 750
Problem: a can do a job in 9 days and b can do it in 27 days . a and b working together will finish twice the amount of work in - - - - - - - days ?
Output: 18 days
Problem: what will be the remainder when 13 ^ 36 is divided by 2196 ?
Output: 1
Problem: for what value of x , is | x – 5 | + | x + 5 | + | x | = 27 ?
Output: 9
Problem: if an organization were to sell n tickets for a theater production , the total revenue from ticket sales would be 20 percent greater than the total costs of the production . if the organization actually sold all but 5 percent of the n tickets , the total revenue from ticket sales was what percent greater than the total costs of the production ?
Output: 14 %
Problem: virginia , adrienne , and dennis have taught history for a combined total of 96 years . if virginia has taught for 9 more years than adrienne and for 12 fewer years than dennis , for how many years has dennis taught ?
Output: 4
Problem: the average salary of 20 people in the shipping department at a certain firm is $ 1000 . the salary of 10 of the employees is $ 600 each and the salary of 6 of the employees is $ 200 each . what is the average salary of the remaining employees ?
Output: $ 3200
Problem: an aeroplane covers a certain distance of 670 kmph in 6 hours . to cover the same distance in 6 1 / 4 hours , it must travel at a speed of
Output: 643
Problem: a cube is divided into 216 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that , the cube is painted with green on one set of opposite faces , red on another set of opposite faces , and blue on the third set of opposite faces . how many cubelets are painted with exactly one colour ?
Output: 96', 'd ) 108', 'e ) 120'
Problem: a sum fetched a total simple interest of $ 4061.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ?
Output: $ 892
Problem: the average of 5 consecutive odd numbers is 55 . what is the difference between the highest and lowest numbers ?
Output: 8
Problem: in a class of 25 students in an examination in maths 3 students scored 95 marks each , 5 get zero each and the average of the rest was 45 . what is the average of the whole class ?
Output: c ) 42
Problem: 18.05 ã — 0.001 = ?
Output: 0.01805
Problem: a school has 4 section of chemistry in class x having 40 , 35 , 45 and 42 students . the mean marks obtained in chemistry test are 50 , 60 , 55 and 45 respectively for the 4 sections . determine the overall average of marks per student .
Output: 52.25
Problem: ajay can walk 7 km in 1 hour . in how many hours he can walk 80 km ?
Output: 11.4 hrs
Problem: the percentage profit earned by selling an article for rs . 1320 is equal to the percentage loss incurred by selling the same article for rs . 1280 . at what price should the article be sold to make 25 % profit ?
Output: 1625
Problem: the compound ratio of 5 : 1 , 3 : 1 and 2 : 5 ?
Output: 6 : 1
Problem: 130 women can complete a work in 7 days and 10 children take 14 days to complete the work . how many days will 5 women and 10 children take to complete the work ?
Output: 13 day
Problem: a grocer has a sale of rs . 3435 , rs . 3920 , rs . 3855 , rs . 4230 and rs . 3560 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 3500 ?
Output: 200
Problem: a number of 55 marbles is to be divided and contain with boxes . if each box is to contain 3 , 4 , or 5 marbles , what is the largest possible number of boxes ?
Output: 1
Problem: the length of a side of a hexagon is 7 inches . what is the perimeter ?
Output: 42
Problem: working alone , printers x , y , and z can do a certain printing job , consisting of a large number of pages , in 12 , 25 , and 30 hours , respectively . what is the ratio of the time it takes printer x to do the job , working alone at its rate , to the time it takes printers y and z to do the job , working together at their individual rates ?
Output: 150 / 11
Problem: how many numbers from 45 to 110 are exactly divisible by 12 ?
Output: 6
Problem: 40 is subtracted from 60 % of a number , the result is 50 . find the number ?
Output: 150
Problem: a man has rs . 10350 in the form of rs . 50 notes and rs . 500 notes . the total number of notes are 108 . find the number of notes of rs . 50 denomination .
Output: 9
Problem: a hiker walked for 3 days . she walked 18 miles on the first day , walking 3 miles per hour . on the second day she walked for one less hour but she walked one mile per hour , faster than on the first day . on the third day 5 miles per hour for 6 hours . how many miles in total did she walk ?
Output: 68
Problem: a sum of money at simple interest amounts to rs . 815 in 3 years and to rs . 878 in 4 years . the sum is :
Output: 626
Problem: after a storm deposits 120 billion gallons of water into the city reservoir , the reservoir is 85 % full . if the original contents of the reservoir totaled 220 billion gallons , the reservoir was approximately what percentage full before the storm ?
Output: 55 %
Problem: find the value of 72517 x 9999 = m ?
Output: 725097483
Problem: 10 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 2907 , how much was it in the beginning ?
Output: a ) 3800
Problem: average of 5 numbers is 20 , and the sum of 3 of the numbers is 48 , what is the average of the other 2 numbers ?
Output: 2
Problem: the population of a city increases by 4 % per year but due to migration it decrease by 1 % per years . what will be the percentage increase in population in 3 years ?
Output: 9.27 %
Problem: a rectangle measures 8 cm on length and its diagonal measures 17 cm . what is the perimeter of the rectangle ?
Output: 46 cm', 'd ) 49 cm', 'e ) 41 cm'
Problem: $ 6,000 is deposited in a savings account that pays 10 % annual interest compounded semiannually . to the nearest dollar , how much is in the account at the end of the year ?
Output: $ 6615.00
Problem: a person spends 40 % of his salary on food , 25 % on house rent , 15 % on entertainment and 5 % on conveyance . if his savings at the end of the month is rs . 1200 , then his salary per month in rupees is :
Output: 8000
Problem: in 1982 and 1983 , company b ’ s operating expenses were $ 10.0 million and $ 12.0 million , respectively , and its revenues were $ 15.6 million and $ 18.8 million , respectively . what was the percent increase in company b ’ s profit ( revenues minus operating expenses ) from 1982 to 1983 ?
Output: 21 3 / 7 %
Problem: a train running at the speed of 48 km / hr crosses a pole in 9 seconds . what is the length of the train ?
Output: 120
Problem: a , b , k start from the same place and travel in the same direction at speeds of 30 km / hr , 40 km / hr , 60 km / hr respectively . b starts seven hours after a . if b and k overtake a at the same instant , how many hours after a did k start ?
Output: e ) 1
Problem: the average height of 35 boys in a class was calculated as 185 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ) . ?
Output: 183.29 cm
Problem: the cost to park a car in a certain parking garage is $ 10.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours . what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours ?
Output: $ 2.47
Problem: at the wholesale store you can buy an 8 - pack of hot dogs for $ 1.55 , a 20 - pack for $ 3.05 , and a 250 - pack for $ 22.95 . what is the greatest number of hot dogs you can buy at this store with $ 205 ?
Output: 2,140
Problem: a train which has 410 m long , is running 45 kmph . in what time will it cross a person moving at 9 kmph in same direction ?
Output: 41 sec
Problem: the ratio of males to females in a class is 2 : 3 . the career preferences of the students in the class are represented in a circle graph . if the area of the graph allocated to each career preference is proportional to the number of students who have that career preference , how many degrees of the circle should be used to represent a career that is preferred by one - half of the males and three - fourths of the females in the class ?
Output: 234
Problem: a man can row upstream at 25 kmph and downstream at 45 kmph , and then find the speed of the man in still water ?
Output: 3
Problem: the least number which when divided by 5 , 6 , 7 and 8 leaves a remainder 3 , but when divided by 9 leaves no remainder , is :
Output: 1683
Problem: 1 men takes 37 $ to eat a pizza in restaurant such that it have discount multiple of 4 if u eat more pizza . discount increase by multiple of 4 every pizza u eat . for 1 pizza 0 % off . for 2 pizza % off for 3 pizza 8 % off . pizza without discount is 10 $ . how much that man eats the pizza .
Output: 3
Problem: 5 people can write 25 book in 20 days working 8 hour a day . then in how many day 125 can be written by 75 people ?
Output: 20 / 3
Problem: if there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city , find the number of 4 wheelers parked there if the total number of wheels is 46 ?
Output: 11
Problem: three 6 faced dice are thrown together . the probability that exactly two dice show the same number on them is
Output: 5 / 12
Problem: a train 250 m long running at 72 kmph crosses a platform in 25 sec . what is the length of the platform ?
Output: 250 m
Problem: a 9 % stock yields 8 % . the market value of the stock is :
Output: rs . 112.50
Problem: one side of a rectangular field is 15 m and one of its diagonal is 18 m . find the area of the field .
Output: 148.5
Problem: in one hour , a boat goes 19 km / hr along the stream and 9 km / hr against the stream . the speed of the boat in still water ( in km / hr ) is :
Output: 14 kmph
Problem: the average of temperatures at noontime from monday to friday is 60 ; the lowest one is 40 , what is the possible maximum range of the temperatures ?
Output: 100
Problem: find out the square of a number which when doubled exceeds its one sixth by 11 ?
Output: 36
Problem: a train overtakes two persons who are walking in the same direction in which the train is going , at the rate of 2 kmph and 4 kmph and passes them completely in 9 and 10 seconds respectively . find the length of train ?
Output: 50 m
Problem: a number is doubled and 9 is added . if resultant is trebled , it becomes 63 . what is that number
Output: 6
Problem: a = 5 ^ 10 - 625 ^ 2 and a / x is an integer , where x is a positive integer greater than 1 , such that it does not have a factor p such that 1 < p < x , then how many different values for x are possible ?
Output: two
Problem: a 80 cm long wire is to be cut into two pieces so that one piece will be 3 / 5 th of the other , how many centimeters will the shorter piece be ?
Output: a ) 30
Problem: a library has an average of 510 visitors on sundays and 240 on other day . the average number of visitors in a month of 25 days starting with sunday is
Output: 342
Problem: a total of $ 20,000 was invested in two certificates of deposit at simple annual interest rates of 6 percent and 12 percent , respectively . if the total interest on the two certificates was $ 1,440 at the end of one year , what fractional part of the $ 20.000 was invested at the higher rate ?
Output: 1 / 5
Problem: the ratio , by volume , of soap to alcohol to water in a certain solution is 6 : 30 : 90 . the solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved . if the altered solution will contain 150 cubic centimeters of alcohol , how many cubic centimeters of water will it contain ?
Output: 1800
Problem: a waiter ' s salary consists of his salary and tips . during one week his tips were 7 / 4 of his salary . what fraction of his income came from tips ?
Output: 7 / 1
Problem: the total age of a and b is 15 years more than the total age of b and c . c is how many year younger than
Output: 15 year
Problem: three numbers are in the ratio 4 : 5 : 6 and their product is 76680 . the largest number is
Output: 24
Problem: a bag has 9 green balls and 23 pink balls . how many green balls should be added to the bag so that the ratio of green balls and pink balls in the bag becomes 1 : 1 ?
Output: 1
Problem: what is the value of 100 p 2 ?
Output: 9900
Problem: convert 2 / 5 to a decimal
Output: 0.4
Problem: what is remainder of the division ( 1625 * 1627 * 1629 ) / 12 ?
Output: 3
Problem: if henry were to add 8 gallons of water to a tank that is already 3 / 4 full of water , the tank would be 7 / 8 full . how many gallons of water would the tank hold if it were full ?
Output: 64
Problem: find compound interest on $ 4000 at 15 % per annum for 2 years 4 months , compounded annually .
Output: 1554.5
Problem: if x = 1 + √ 2 , then what is the value of x 4 - 4 x 3 + 4 x 2 + 3 ?
Output: 4
Problem: a train is 485 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length
Output: 50 seconds
Problem: if x gets 25 % more than y and y gets 20 % more than z , the share of z out of rs . 1110 will be :
Output: rs . 300
Problem: a train moves with a speed of 135 kmph . its speed in metres per second is
Output: 37.5
Problem: a 50 ml after - shave lotion at 30 % alcohol is mixed with 30 ml of pure water . what is the percentage of alcohol in the new solution ?
Output: 18.75 %
Problem: what is the remainder when 1201 × 1202 × 1205 × 1207 is divided by 6 ?
Output: 4
Problem: what is the value of 11 ^ x - 11 ^ ( x + 2 ) , where x is the largest integer such that 11 ^ x is a factor of 30030 ?
Output: - 1320
Problem: what percent of 7.2 kg is 18 gms ?
Output: 25
Problem: a ’ s speed is 17 / 14 times that of b . if a and b run a race , what part of the length of the race should a give b as a head start , so that the race ends in a dead heat ?
Output: 3 / 17
Problem: a invested $ 100 in a business after 6 months b invested $ 200 in the business . end of the year if they got $ 100 as profit . find a shares ?
Output: $ 5
Problem: in a family 13 people eat only vegetarian , 8 people eat only non veg . , 6 people eat both veg and non veg . . how many people eat veg in the family ?
Output: 19
Problem: a shopkeeper labeled the price of his articles so as to earn a profit of 40 % on the cost price . he then sold the articles by offering a discount of 5 % on the labeled price . what is the actual percent profit earned in the deal ?
Output: 33 %
Problem: the total of 336 of 20 paise and 25 paise make a sum of rs . 71 . the no of 20 paise coins is
Output: 260
Problem: a factory produces 6400 toys per week . if the workers at this factory work 3 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?
Output: 2133 toys
Problem: walking at 5 / 6 th of its usual speed a cab is 15 mnts late . find its usual time to cover the journey ?
Output: 75 m
Problem: a part - time employee whose hourly wage was increased by 20 percent decided to reduce the number of hours worked per week so that the employee ' s total weekly income would remain unchanged . by what percent should the number of hours worked be reduced ?
Output: 16.66
Problem: a person purchased a tv set for rs . 16000 and a dvd player for rs . 6250 . he sold both the items together for rs . 35600 . what percentage of profit did he make ?
Output: 60 %
Problem: two trains each 180 m in length are running on the same parallel lines in opposite directions with the speed of each 80 kmph . in what time will they cross each other completely ?
Output: 8.1 sec
Problem: 20 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: 30
Problem: the number of the members of a club is more than 50 and less than 80 . when 4 people sit at a table , other people exactly divided to 8 - people groups ( 8 people sit at a table ) or 7 - people groups ( 7 people sit at a table ) . if the members are divided to 9 - people groups , how many people will be left ?
Output: 6
Problem: a train running at the speed of 72 km / hr crosses a pole in 9 seconds . find the length of the train .
Output: 180 meter
Problem: two clocks are set correctly at 1 0 ' clock in the afternoon . one keeps correct time . the other gains 5 seconds per minute . that evening , when the fast clock shows 6 : 20 , what does the correct clock show ?
Output: 6.0
Problem: the triplicate ratio of 1 : 3 is ?
Output: 1 : 27
Problem: a shopkeeper sold an article offering a discount of 5 % and earned a profit of 22.55 % . what would have been the percentage of profit earned if no discount was offered ?
Output: 29 %
Problem: 5 men are equal to as many women as are equal to 8 boys . all of them earn $ 90 only . men ’ s wages are ?
Output: $ 6
Problem: two trains of equal are running on parallel lines in the same direction at 48 km / hr and 36 km / hr . the faster train passes the slower train in 36 sec . the length of each train is ?
Output: 60 m
Problem: how many positive integers less than 20 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 3 ?
Output: 14
Problem: a number is said to be prime saturated if the product of all the different positive prime factors of t is less than the square root of t . what is the greatest two digit prime saturated integer ?
Output: 96
Problem: a cycle is bought for rs . 1500 and sold for rs . 1620 , find the gain percent ?
Output: 8
Problem: a teacher grades students ’ tests by subtracting twice the number of incorrect responses from the number of correct responses . if student a answers each of the 100 questions on her test and receives a score of 76 , how many questions did student a answer correctly ?
Output: 92
Problem: ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 4 percent and the mobile phone at a profit of 11 percent . overall he make a .
Output: 28
Problem: in a certain candy store , 22 % of the customers are caught sampling the candy and are charged a small fine , but 5 % of the customers who sample the candy are not caught . what is the total percent of all customers who sample candy ?
Output: 23 %
Problem: the average of first 22 natural numbers is ?
Output: 11.5
Problem: in a certain deck of cards , each card has a positive integer written on it , in a multiplication game a child draws a card and multiplies the integer on the card with the next large integer . if the each possible product is between 10 and 400 , then the least and greatest integer on the card would be
Output: 3 and 20
Problem: p , q and r have $ 4000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ?
Output: 160
Problem: rahul and sham together can complete a task in 35 days , but rahul alone can complete same work in 60 days . calculate in how many days sham can complete this work ?
Output: 84 days
Problem: a train running at the speed of 60 km / hr crosses a pole in 6 sec . what is the length of the train ?
Output: 100
Problem: lucy bought a 1 - year , 10000 certificate of deposit that paid interest at an annual rate of 8 percent compunded semiannually . what was the total amount of interest paid on this certificate at maturity ?
Output: 800
Problem: if x ^ 2 + ( 1 / x ^ 2 ) = 6 , x ^ 4 + ( 1 / x ^ 4 ) = ?
Output: 34
Problem: a bag marked at $ 125 is sold for $ 120 . the rate of discount is ?
Output: 4
Problem: the radius of a cylindrical vessel is 8 cm and height is 3 cm . find the whole surface of the cylinder ?
Output: 553.1 sq cm
Problem: the marks obtained by vijay and amith are in the ratio 6 : 5 and those obtained by amith and abhishek in the ratio of 3 : 2 . the marks obtained by vijay and abhishek are in the ratio of ?
Output: 9 : 5
Problem: for what value of x , is | x – 3 | + | x + 1 | + | x | = 10 ?
Output: 4
Problem: when n is divided by 5 the remainder is 3 . what is the remainder when ( n + 3 ) ^ 2 is divided by 5 ?
Output: 1
Problem: right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy ’ s age will be 66 years . what is molly ' s age right now ?
Output: 45 years
Problem: a and b can do a work in 5 days and 10 days respectively . a starts the work and b joins him after 4 days . in how many days can they complete the remaining work ?
Output: 2 / 3 days
Problem: ( 935421 x 625 ) = ?
Output: 584638125
Problem: a certain fraction is equivalent to 3 / 5 . if the numerator of the fraction is increased by 4 and the denominator is doubled , the new fraction is equivalent to 1 / 3 . what is the sum of the numerator and denominator of the original fraction ?
Output: 56
Problem: a survey was sent to 65 customers , 7 of whom responded . then the survey was redesigned and sent to another 63 customers , 9 of whom responded . by approximately what percent did the response rate increase from the original survey to the redesigned survey ?
Output: 4 %
Problem: bert and rebecca were looking at the price of a condominium . the price of the condominium was 100 % more than bert had in savings , and separately , the same price was also 60 % more than rebecca had in savings . what is the ratio of what bert has in savings to what rebecca has in savings .
Output: 4 : 5
Problem: a man swims downstream 30 km and upstream 20 km taking 5 hours each time , what is the speed of the man in still water ?
Output: 5
Problem: andrew purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?
Output: 1055
Problem: how many integers v are prime numbers in the range 200 < v < 220 ?
Output: 1
Problem: if the average of 20 digits is 500 and the average of 14 of them is 390 , calculate the average of the remaining 6 numbers ?
Output: 756.7
Problem: two bullet train s 140 m and 180 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time ( in seconds ) which they take to cross each other , is :
Output: 11.52 sec .
Problem: a producer of tea blends two varieties of tea from two tea gardens one costing rs 18 per kg and another rs 20 per kg in the ratio 5 : 3 . if he sells the blended variety at rs 25 per kg , then his gain percent is
Output: 33 %
Problem: the length of a rectangular plot is thrice its width . if the area of the rectangular plot is 768 sq meters , then what is the width ( in meters ) of the rectangular plot ?
Output: 16 m
Problem: a palindrome is a number that reads the same front - to - back as it does back - to - front ( e . g . 202 , 575 , 1991 , etc . ) p is the smallest integer greater than 500 that is both a prime and a palindrome . what is the sum of the digits of p ?
Output: 4
Problem: if p / q = 4 / 5 , then the value of 25 / 7 + { ( 2 q - p ) / ( 2 q + p ) } is ?
Output: 4
Problem: a retailer bought a machine at a wholesale price of $ 90 and later on sold it after a 10 % discount of the retail price . if the retailer made a profit equivalent to 20 % of the whole price , what is the retail price r of the machine ?
Output: 120
Problem: bottle r contains 350 capsules and costs $ 6.25 . bottle t contains 130 capsules and costs $ 2.99 . what is the difference between the cost per capsule for bottle r and the cost per capsule for bottle t ?
Output: $ 0.0052
Problem: the milk level in a rectangular box measuring 58 feet by 25 feet is to be lowered by 6 inches . how many gallons of milk must be removed ? ( 1 cu ft = 7.5 gallons )
Output: 5437.5
Problem: on a certain date , pat invested $ 7,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 10 years will be $ 28,000 , in how many years total will the total value of the investment plus interest increase to $ 56,000 ?
Output: 15
Problem: on a certain date , pat invested $ 10,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 12 years will be $ 40,000 , in how many years , the total value of the investment plus interest will increase to $ 160,000 ?
Output: 2
Problem: a rectangular block 15 cm by 30 cm by 75 cm is cut into an exact number of equal cubes . find the least possible number of cubes ?
Output: 10', 'e ) 22'
Problem: after replacing an old member by a new member , it was found that the average age of 5 members of a club is the same as it was 3 years ago . what is the difference between the ages of the replaced and the new member ?
Output: 15
Problem: zinc and copper are melted together in the ratio 9 : 11 . what is the weight of melted mixture , if 26.1 kg of zinc has been consumed in it ?
Output: 58 kg
Problem: the ratio of boys to girls is 6 : 4.60 % of the boys and 40 % of girls take lunch in the canteen . what % of class takes lunch ?
Output: 52 %
Problem: a person x started at 3 hours earlier at 40 km / h from a place p , then another person y followed him at 60 km / h . started his journey at 3 o ' clock , afternoon . what is the diference in time when x was 30 km ahead of y and when y was 30 km ahead of x ?
Output: 3 h
Problem: a room of 5 m 44 cm long and 3 m 74 cm broad is to be paved with squre tiles . find the least number of squre tiles required to cover the floor ?
Output: 176
Problem: if i walk at 6 km / h , i miss the bus by 12 minutes . if i walk at 5 km / h , i reach 14 minutes before the arrival of the bus . how far i walk to reach the bus stand ?
Output: 13 km
Problem: if 35 % of a number is 24 less than 50 % of that number , then the number is ?
Output: 160