niryuu/sni-each-converted huggingface dataset:
Problem: how many positive integers between 1 and 200 are there such that they are multiples of 17 ?
Output: 11
Problem: in a company the manager wants to give some gifts to all of the workers . in each block there are about 100 workers are there . the total amount for giving the gifts for all the workers is $ 4000 . the worth of the gift is $ 4 . how many blocks are there in the company ?
Output: 10
Problem: in what time will a railway train 60 m long moving at the rate of 36 kmph pass a telegraph post on its way ?
Output: 6
Problem: three pipes a , b and c can fill a tank from empty to full in 30 minutes , 20 minutes and 10 minutes respectively . when the tank is empty , all the three pipes are opened . a , b and c discharge chemical solutions p , q and r respectively . what is the proportion of solution p in the liquid in the tank after 3 minutes ?
Output: 2 / 11
Problem: a man buys 54 pens at marked price of 46 pens from a whole seller . if he sells these pens giving a discount of 1 % , what is the profit percent ?
Output: 16.21 %
Problem: find the area of a cuboid of length 15 cm , breadth 10 cm . and height 16 cm .
Output: 2400 cm cube
Problem: a can do a piece of work in 15 days . a does the work for 5 days only and leaves the job . b does the remaining work in 6 days . in how many days b alone can do the work ?
Output: 9 days
Problem: the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 15 and 41 inclusive .
Output: 392
Problem: the cost price of a radio is rs . 1800 and it was sold for rs . 1430 , find the loss % ?
Output: 20.5 %
Problem: when working alone , painter w can paint a room in 2 hours , and working alone , painter x can paint the same room in z hours . when the two painters work together and independently , they can paint the room in 3 / 4 of an hour . what is the value of z ?
Output: 1 [ 1 / 5 ]
Problem: a work crew of 6 men takes 8 days to complete one - half of a job . if 9 men are then added to the crew and the men continue to work at the same rate , how many days will it take the enlarged crew to do the rest of the job ?
Output: 3 1 / 5
Problem: what is the dividend . divisor 17 , the quotient is 8 and the remainder is 5
Output: b ) 141
Problem: a searchlight on top of the watch - tower makes 3 revolutions per minute . what is the probability that a man appearing near the tower will stay in the dark for at least 15 seconds ?
Output: 1 / 4
Problem: john and amanda stand at opposite ends of a straight road and start running towards each other at the same moment . their rates are randomly selected in advance so that john runs at a constant rate of 3 , 4 , or 5 miles per hour and amanda runs at a constant rate of 3 , 4 , 5 , 6 , or 7 miles per hour . what is the probability that john has traveled farther than amanda by the time they meet ?
Output: 1 / 5
Problem: the average of numbers 0.64205 , 0.64203 , 0.64202 and 0.64201 is ?
Output: 0.642028
Problem: two bullet train s 140 m and 210 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: 12.6 sec .
Problem: 4 friends are pooling their money for pizza . emma has 8 dollars . daya has 25 % more money than emma , jeff has 2 / 5 of the money daya has , and brenda has 4 more dollars than jeff . how much money does brenda have ?
Output: 8
Problem: in one alloy there is 12 % chromium while in another alloy it is 8 % . 35 kg of the first alloy was melted together with 40 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy .
Output: 9.75 %
Problem: mike took a taxi to the airport and paid $ 2.50 to start plus $ 0.25 per mile . annie took a different route to the airport and paid $ 2.50 plus $ 5.00 in bridge toll fees plus $ 0.25 per mile . if each was charged exactly the same amount , and annie ' s ride was 26 miles , how many miles was mike ' s ride ?
Output: 46
Problem: fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 8.91 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discount rates is 22 percent , what is the discount rate on pony jeans ?
Output: 11 %
Problem: find the simple interest on $ 10000 at 4 % per annum for 12 months ?
Output: $ 400
Problem: 50 men took a dip in a water tank 40 m long and 20 m broad on a religious day . if the average displacement of water by a man is 3 m 3 , then the rise in the water level in the tank will be :
Output: 18.75 cm
Problem: a contractor undertakes to built a walls in 50 days . he employs 40 peoples for the same . however after 25 days he finds that only 40 % of the work is complete . how many more man need to be employed to complete the work in time ?
Output: 60
Problem: the average weight of 6 person ' s increases by 4.5 kg when a new person comes in place of one of them weighing 75 kg . what might be the weight of the new person ?
Output: 102 kg
Problem: a thief goes away with a santro car at a speed of 40 kmph . the theft has been discovered after half an hour and the owner sets off in a bike at 60 kmph when will the owner over take the thief from the start ?
Output: e )
Problem: sandy buys an old scooter for $ 900 and spends $ 300 on its repairs . if sandy sells the scooter for $ 1500 , what is the gain percent ?
Output: 25 %
Problem: a , b , c , d , e are the 5 electronic shops in the naza market , which have 20 , 30 , 60 , 80 and 50 t . v . sets with them respectively , then the average number of t . v . sets in each shop is
Output: 48
Problem: a no . when divided by 281 gives a remainder 160 , what remainder will be obtainedby dividingthe same no . 21 ?
Output: 21
Problem: in the rectangular coordinate system , points ( 16 , 0 ) and ( – 16 , 0 ) both lie on circle c . what is the maximum possible value of the radius of c ?
Output: 16
Problem: the speed of a railway engine is 74 km per hour when no compartment is attached , and the reduction in speed is directly proportional to the square root of the number of compartments attached . if the speed of the train carried by this engine is 24 km per hour when 9 compartments are attached , the maximum number of compartments that can be carried by the engine is :
Output: 1
Problem: the sum of even numbers between 1 and 31 is
Output: 240
Problem: find value for x from below equation ? x + 1 = - 3
Output: - 4
Problem: if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 50 , what is the value of c â ˆ ’ a ?
Output: 10
Problem: a certain plant was 11 feet long on the day it was plantedthe length grows by a constant amount everyday ( inc . the first day it was planted ) . if this plant grew by 30 % b / w the 4 th day and 10 th day after it was planted , how many feet per day does the plant grow
Output: c ) 0.69
Problem: 6,61 , 212,507 , _ ?
Output: 994
Problem: john and steve are speed walkers in a race . john is 14 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: 32 seconds
Problem: the average age of an adult class is 40 years . 12 new students with an avg age of 32 years join the class . therefore decreasing theaverage by 4 year . find what was theoriginal strength of class ?
Output: 12
Problem: running at the same constant rate , 5 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?
Output: 2,160
Problem: the radius of the wheel of a bus is 100 cms and the speed of the bus is 66 km / h , then the r . p . m . ( revolutions per minutes ) of the wheel is
Output: 175
Problem: what is the smallest positive integer x , such that 1944 x is a perfect cube ?
Output: 3
Problem: if n is an integer and 101 n ^ 2 is less than or equal to 6400 , what is the greatest possible value of n ?
Output: 7
Problem: a number whose fifth part increased by 5 is equal to its fourth part diminished by 5 is ?
Output: 200
Problem: a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 390 m long ?
Output: 60 se
Problem: a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 500 more than d , what is a ' s share ?
Output: rs . 2500
Problem: a certain high school has 500 students . of these students , 50 are taking music , 20 are taking art , and 10 are taking both music and art . how many students are taking neither music nor art ?
Output: 440
Problem: praveen starts business with rs . 3920 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ?
Output: s . 10080
Problem: the ratio between b and y is 7 / 9 ; b and y are increased by 4 , what is the ratio between the new values of b and y ?
Output: it can not be determine
Problem: the difference between simple interest and compound interest on rs . 1200 for one year at 10 % per annum reckoned half yearly is
Output: 7
Problem: a woman can do a piece of work in 40 days . man is 25 % more efficient than woman . in how many days a man can do the same piece of work ?
Output: 32 days
Problem: if a ^ 2 + b ^ 2 = 144 and ab ≠ 0 , then the greatest possible value for b is between
Output: 12 and 3
Problem: the ratio between the present ages of a and b is 3.5 : 3 respectively . the ratio between a ' s age 4 years ago and b ' s age 4 years hence is 1 : 1 . what is the ratio between a ' s age 4 years hence and b ' s age 4 years ago ?
Output: 15 : 11
Problem: ram , who is half as efficient as krish , will take 21 days to complete a task if he worked alone . if ram and krish worked together , how long will they take to complete the task ?
Output: 7 days
Problem: calculate the l . c . m of 7 / 10 , 8 / 9 , 3 / 8 , 5 / 12 is :
Output: 840
Problem: a circular mat with diameter 18 inches is placed on a square tabletop , each of whose sides is 24 inches long . which of the following is closest to the fraction of the tabletop covered by the mat ?
Output: 3 / 8', 'e ) 5 / 6'
Problem: a man swims downstream 36 km and upstream 18 km taking 3 hours each time , what is the speed of the man in still water ?
Output: 9
Problem: the cash realised on selling a 14 % stock is rs . 109.25 , brokerage being 1 / 4 % is ?
Output: 109
Problem: the price of maruti car rises by 30 percent while the sales of the car come down by 20 % . what is the percentage change in the total revenue ?
Output: + 4 %
Problem: if p and q are positive integers each greater than 1 , and 17 ( p + 1 ) = 21 ( q + 1 ) , what is the least possible value of p + q ?
Output: 36
Problem: the ratio of a to b is 4 to 5 , where a and b are positive . if x equals a increased by 25 percent of a , and m equals b decreased by 60 percent of b , what is the value of m / x ?
Output: 2 / 5
Problem: two numbers are in the ratio 3 : 4 . if their l . c . m . is 84 . what is sum of the numbers ?
Output: 49
Problem: three rugs have a combined area of 212 square meters . by overlapping the rugs to cover floor area of 140 square meters , the area that is covered by exactly two layers of rug is 24 square meters . what is the area that is covered with three layers of rug ?
Output: 24 square meters
Problem: when 2 / 9 of the votes on a certain resolution have been counted , 3 / 4 of those counted are in favor of the resolution . what fraction q of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution ?
Output: 11 / 14
Problem: for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 20000 , my total savings for the two - year is
Output: s . 1100
Problem: tim came second in math . when his mother asked him how much he had scored , he answered that he got the sum of the first 12 even numbers . his mother immediately worked out the answer . how much had he scored in math ?
Output: 156
Problem: during a certain season , a team won 70 percent of its first 100 games and 50 percent of its remaining games . if the team won 70 percent of its games for the entire season , what was the total number of games that the team played ?
Output: 10
Problem: a bottle contains a certain solution . in the bottled solution , the ratio of water to soap is 3 : 2 , and the ratio of soap to salt is six times this ratio . the solution is poured into an open container , and after some time , the ratio of water to soap in the open container is halved by water evaporation . at that time , what is the ratio of water to salt in the solution ?
Output: 54 :
Problem: if x 2 + kx - 3 , is divisible by ( x - 1 ) , what is the value of k
Output: 2
Problem: if ( x - 10 ) ( y - 5 ) ( z - 2 ) = 1000 then what is the least value of x + y + z ? if x , y , z are all integer no .
Output: 7
Problem: 0.002 x 0.4 = ?
Output: 0.000
Problem: for what value of x , is | x – 2 | + | x + 5 | + | x | = 17 ?
Output: 5
Problem: a can run 4 times as fast as b and gives b a start of 60 m . how long should the race course be so that a and b might reach in the same time ?
Output: 80 m
Problem: a train 175 m long , running with a speed of 63 km / hr will pass a tree in ?
Output: 10 se
Problem: an 80 - liter solution of cool - drink is made from 10 % jasmine water . if 8 liters of jasmine and 12 liters of water were added to the solution , what percent of the solution is jasmine ?
Output: 16 %
Problem: what is the sum of all the multiples of 10 between 0 and 99 ?
Output: 450
Problem: the length of rectangle is thrice its breadth and its perimeter is 120 m , find the area of the rectangle ?
Output: 675 sq
Problem: an article is bought for rs . 805 and sold for rs . 900 , find the gain percent ?
Output: 11.8 %
Problem: at an upscale fast - food restaurant , shin can buy 3 burgers , 7 shakes , and one cola for $ 120 . at the same place it would cost $ 164.50 for 4 burgers , 10 shakes , and one cola . how much would it cost for a meal of one burger , one shake , and one cola ?
Output: $ 31
Problem: 65 % of x = 20 % of 682.50 . find the value of x ?
Output: 210
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 200 that is both a prime and a palindrome . what is the sum of the digits of p ?
Problem: a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 120 kilometers ?
Output: 3
Problem: a ranch has both horses and ponies . exactly 5 / 7 of the ponies have horseshoes , and exactly 2 / 3 of the ponies with horseshoes are from iceland . if there are 4 more horses than ponies , what is the minimum possible combined number of horses and ponies on the ranch ?
Output: 46
Problem: a fruit seller had some oranges . he sells 40 % oranges and still has 420 oranges . how many oranges he had originally ?
Output: 700
Problem: if x ^ 2 + y ^ 2 = 16 and xy = 3 , then ( x − y ) ^ 2 =
Output: 10
Problem: on the first day of her vacation , louisa traveled 160 miles . on the second day , traveling at the same average speed , she traveled 280 miles . if the 160 - mile trip took 3 hours less than the 280 - mile trip , what was the average speed , in miles per hour ?
Output: 40
Problem: evaluate : | 5 - 8 ( 3 - 12 ) | - | 5 - 11 | = ?
Output: 71
Problem: a 10 % stock yielding 8 % is quoted at ?
Output: 125
Problem: what is the sum of natural numbers between 30 and 100
Output: 4615
Problem: what is the least value of x . so that 4 x 569 is divisible by 3 ?
Output: 0
Problem: if a trader sold two cars each at rs . 325475 and gains 12 % on the first and loses 12 % on the second , then his profit or loss percent on the whole is ?
Output: 1.44 %
Problem: i flew my tiny seaplane to visit my mother . on the flight up , i flew at 96 mph . on the way home , i flew 88 mph . what was my average speed for the trip ?
Output: 92 mph
Problem: find the area of trapezium whose parallel sides are 20 cm and 18 cm long , and the distance between them is 20 cm ?
Output: 380 cm 2
Problem: if x < y < z and y - x > 11 , where x is an even integer and y and z are odd integers , what is the least possible value of z - x ?
Output: 1
Problem: find k if 24 / k = 4 .
Output: 6
Problem: a merchandise feedback online portal accords ‘ ratings ’ to a product by recording the percentage of customers who have reported their views as either ‘ satisfied ’ or ‘ unsatisfied ’ only . the portal rounds off the exact percentage value calculated to the closest integral value . if the percentage of unsatisfied customers as recorded by the portal is 57 % , what is the least possible number of people that could have reported their views as ‘ satisfied ’ ?
Output: 3
Problem: a bag consists of 30 marbles , of which 5 are blue , 9 are red , and the remainder are white . if lisa is to select a marble from the bag at random , what is the probability that the marble will be red or white ?
Output: 5 / 6
Problem: the sides of a cube are in the ratio of 1 : 2 the ratio of their volumes is ?
Output: 1 : 8
Problem: what is the least value of x , so that 23 x 57 is divisible by 3
Output: 1
Problem: a present value of a machine is $ 1000 . its value depletiation rate is 10 % per annum then find the machine value after 2 years ?
Output: $ 810
Problem: in a certain school , 20 % of students are below 8 years of age . the number of students above 8 years of age is 2 / 3 of the number of students of 8 years of age which is 48 . what is the total number of students in the school ?
Output: 100
Problem: to produce an annual income of rs . 1200 from a 15 % stock at 90 , the amount of stock needed is :
Output: s . 10,000
Problem: a and b began business with rs . 3000 and rs . 4000 after 8 months , a withdraws rs . 1000 and b advances rs . 1000 more . at the end of the year , their profits amounted to rs . 756 find the share of a .
Output: 288
Problem: what is 2 2 / 3 - 1 1 / 4 divided by 1 / 2 - 1 / 3 ?
Output: 17 / 2
Problem: 100 people are attending a newspaper conference . 35 of them are writers and more than 38 are editors . of the people at the conference , x are both writers and editors and 2 x are neither . what is the largest possible number of people who are both writers and editors ?
Output: 26
Problem: there are 4 people of different heights standing in order of increasing height . the difference is 2 inches between the first person and the second person , and also between the second person and the third person . the difference between the third person and the fourth person is 6 inches and the average height is 78 . how tall is the fourth person ?
Output: 84
Problem: if a randomly selected positive single digit multiple of 3 is multiplied by a randomly selected prime number less than 20 , what is the probability w that this product will be a multiple of 45 ?
Output: 1 / 24
Problem: during a pizza buffet where a eats more times 1.8 than b , and b eats 8 times less than c . find the leat number of times all the 3 has to eat
Output: 360
Problem: ashok secured average of 72 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ?
Output: 62
Problem: at a certain restaurant , the average ( arithmetic mean ) number of customers served for the past x days was 85 . if the restaurant serves 120 customers today , raising the average to 90 customers per day , what is the value of x ?
Output: 6
Problem: two boys starts from the same place walking at the rate of 5.5 kmph and 7.5 kmph respectively in the same direction . what time will they take to be 20 km apart ?
Output: 10
Problem: a man can row 6 kmph in still water . when the river is running at 2 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?
Output: 5.32
Problem: if 8 workers can build 8 cars in 8 days , then how many days would it take 6 workers to build 6 cars ?
Output: 8
Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 31 !
Output: 14
Problem: a person can swim in still water at 12 km / h . if the speed of water 10 km / h , how many hours will the man take to swim back against the current for 8 km ?
Output: 4
Problem: the moon revolves around the earth at a speed of approximately 0.2 kilometers per second . this approximate speed is how many kilometers per hour ?
Output: 720
Problem: if 1.5 cm of a pencil is purple , 0.5 cm of the remaining is black and the remaining 2 cm is blue , what is the total length of the pencil ?
Output: 4 cm
Problem: of the 130 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: 30
Problem: what is the rate percent when the simple interest on rs . 810 amount to rs . 155 in 4 years ?
Output: 4.78
Problem: a pharmaceutical company received $ 4 million in royalties on the first $ 20 million in sales of the generic equivalent of one of its products and then $ 9 million in royalties on the next $ 108 million in sales . by approximately what percent did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ?
Output: 58
Problem: a father said to his son , ` ` i was as old as you are at the present at the time of your birth ' ' . if the father ' s age is 52 years now , the son ' s age 5 years back was :
Output: d ) 21
Problem: at a certain fruit stand , the price of each apple is 40 cents and the price of each orange is 60 cents . mary selects a total of 20 apples and oranges from the fruit stand , and the average ( arithmetic mean ) price of the 20 pieces of fruit is 56 cents . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 52 cents ?
Output: 1
Problem: there are 20 cm , 21 cm , 22 cm , 23 cm , 24 cm , 25 cm rods of quantities 23 , 64 , 32 respectively . find average of this data .
Output: 22.45
Problem: a can finish a work in 18 days and b can do the same work in half the time taken by a . then , working together what part of the same work they can finish in a day ?
Output: 1 / 6
Problem: if n is a positive integer and n ^ 2 is divisible by 18 , then what is the largest positive integer that must divide n ?
Output: 6
Problem: an employee ’ s annual salary was increased $ 25000 . if her new annual salary now equals $ 90000 , what was the percent increase ?
Output: 38.46 %
Problem: in a class of 45 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: 23
Problem: mr . parkin invested in fund z and fund b . the total amount she invested , in both funds combined , was $ 100000 . in one year , fund z paid 23 % and fund b paid 17 % . the interest earned in fund b was exactly $ 200 greater than the interest earned in fund z . how much did ms . morris invest in fund z ?
Output: $ 42000
Problem: a train 100 meters long completely crosses a 300 meters long bridge in 36 seconds . what is the speed of the train is ?
Output: 40 kmp
Problem: a school has 11 maths 8 physics and 5 chemistry teachers each teacher can teach 3 subjects max what is he minimum number of teachers required
Output: 8
Problem: trapezoid jklm in the x - y plane has coordinates j = ( – 3 , – 4 ) , k = ( – 3 , 1 ) , l = ( 5 , 7 ) , and m = ( 5 , – 4 ) . what is its perimeter ?
Output: 34
Problem: | - 2 | ( | - 25 | - | 5 | ) = ? ? source : preparation material mba center
Output: 40
Problem: at a certain fruit stand , the price of each apple is 40 cents and the price of each orange is 60 cents . mary selects a total of 30 apples and oranges from the fruit stand , and the average ( arithmetic mean ) price of the 30 pieces of fruit is 56 cents . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 52 cents ?
Output: 1
Problem: a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 12 % while buying and by 30 % while selling . what is his percentage profit ?
Output: 60 %
Problem: a train covers a distance of 12 km in 16 min . if it takes 6 sec to pass a telegraph post , then the length of the train is ?
Output: 75
Problem: a statue is being carved by a sculptor . the original piece of marble weighed 180 kg . in the first week 28 percent is cut away . in the second week 18 percent of the remainder is cut away . in the third week the statue is completed when 20 percent of the remainder is cut away . what is the weight of the final statue ?
Output: 85 kg
Problem: there are 22 kids in a classroom . 12 kids are wearing socks and 8 are wearing shoes . 6 kids are wearing both . how many are bare feet ?
Problem: a and b together can do a piece of work in 6 days and a alone can do it in 13 days . in how many days can b alone can do it ?
Output: 78 / 7 days
Problem: a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 5 for a dollar and the other at a rate of 5 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ?
Output: 1 : 1
Problem: what is the units digit of 26 ! + 50 ! + 4 ! + 4 ! ?
Output: 8
Problem: the h . c . f of two numbers is 13 and their l . c . m is 2200 . if one of the numbers is 286 , then the other is ?
Output: 100
Problem: the length of a side of a hexagon is 4 inches . what is the perimeter ?
Output: 24', 'd ) 25', 'e ) 26'
Problem: for 2 consecutive yrs , my incomes are in the ratio of 4 : 7 and expenses in the ratio of 3 : 5 . if my income in the 2 nd yr is rs . 42000 & my expenses in the first yr in rs . 23000 , my total savings for the two - year is
Output: s . 8000
Problem: how long does a train 110 m long running at the speed of 72 km / hr takes to cross a bridge 112 m length ?
Output: 11.1 sec
Problem: ketchup , mustard and mayo bottles at a hot dog stand are in the ratio of 3 : 3 : 2 . if there are 6 ketchup bottles , the number of mayo bottles at the hot dog stand is :
Problem: the average of first 10 odd numbers is ?
Output: 10
Problem: at a certain university , 65 % 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: 62.5
Problem: a can do a work in 15 days and b in 20 days . if they work on it together for 5 days , then the fraction of the work that is left is
Output: 5 / 12
Problem: if $ 5,000 is invested in an account at a simple annual rate of r percent , the interest is $ 250 . when $ 16,000 is invested at the same interest rate , what is the interest from the investment ?
Output: $ 800
Problem: of the 200 stamps in a collection , 90 are foreign and 80 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ?
Output: 50
Problem: find the volume & curved surface area of a cylinder with diameter of base 14 cm and height 60 cm .
Output: 2640 cm 2', 'e ) 264 cm 2'
Problem: a car traveled 560 miles per tankful of gasoline on the highway and 336 miles per tankful of gasoline in the city . if the car traveled 6 fewer miles per gallon in the city than on the highway , how many miles per gallon did the car travel in the city ?
Output: 9
Problem: a hall 36 m long and 15 m broad is to be paved with stones , each measuring 2 dm by 5 dm . the number of stones required is :
Output: 5400', 'd ) 18000', 'e ) 1.8'
Problem: by selling an article at rs . 900 , a shopkeeper makes a profit of 25 % . at what price should he sell the article so as to make a loss of 25 % ?
Output: s . 540
Problem: a train 220 meters long is running with a speed of 60 kmph . in what time will it pass a man who is running at 6 kmph in the direction opposite to that in which the train is going ?
Output: 12
Problem: assume that f ( 1 ) = 0 and f ( m + n ) = f ( m ) + f ( n ) + 4 ( 9 mn - 1 ) . for all natural numbers ( integers > 0 ) m and n . what is the value of f ( 17 ) ?
Output: 4832
Problem: allay ' s internet provider offers unlimited traffic which costs $ 0.5 per day charged off at 12 a . m . the service is discontinued when client ' s debt exceeds $ 5 . if today in the morning allay makes a payment of $ 7 , for how many days , including today , will she be connected to the internet without any additional payments , given her initial balance was $ 0 ?
Output: 25
Problem: the smallest value of n , for which n + 3 is not a prime number , is
Problem: a man swims downstream 72 km and upstream 45 km taking 6 hours each time ; what is the speed of the current ?
Output: 2.25
Problem: if ( 2 ^ 16 ) ( 25 ^ s ) = 5 ( 10 ^ m ) what is the value of m ?
Output: 16
Problem: 90 + 5 * 12 / ( 180 / 3 ) = ?
Output: 91
Problem: if 5 % more is gained by selling an article for rs . 350 than by selling it for rs . 340 , the cost of the article is
Output: 200
Problem: a can finish a work in 20 days , b in 15 days and c in 12 days . b and c start the work but are forced to leave after 2 days . the remaining work was done by a in :
Output: 1
Problem: when positive integer n is divided by positive integer j , the remainder is 8 . if n / j = 150.25 , what is value of j ?
Output: 32
Problem: a welder received an order to make a 1 million liter cube - shaped tank . if he has only 2 x 3 meter sheets of metal that can be cut , how many metal sheets will be required for this order ? ( 1 cubic meter = 1000 liters )
Output: 10
Problem: if 18 persons can build a wall 140 m long in 42 days , the number of days that 30 persons will take to complete a similar wall 100 m long , is .
Output: 18
Problem: when x is multiplied by 3 , the result is 10 more than the result of subtracting x from 26 . what is the value of x ?
Output: 9
Problem: if the l . c . m of two numbers is 560 and their product is 42000 , find the h . c . f of the numbers .
Output: 75
Problem: 1,000 ^ 2 + 1,001 ^ 2 + 1,002 ^ 2 + 1,003 ^ 2 + 1,004 ^ 2 =
Output: 6
Problem: in a room filled with 6 people , all 6 people have exactly 1 sibling in the room . if two individuals are selected from the room at random , what is the probability that those two individuals are not siblings ?
Output: 4 / 5
Problem: find the least number of complete years in which a sum of money put out at 50 % compound interest will be more than double of itself ?
Output: 2
Problem: excluding stoppages , the average speed of a bus is 60 km / hr and including stoppages , the average speed of the bus is 40 km / hr . for how many minutes does the bus stop per hour ?
Output: 20 min
Problem: in an office , 50 percent of the workers have at least 5 years of service , and a total of 16 workers have at least 10 years of service . if 90 percent of the workers have fewer than 10 years of service , how many of the workers have at least 5 but fewer than 10 years of service ?
Output: 8
Problem: a certain roller coaster has 6 cars , and a passenger is equally likely to ride in any 1 of the 6 cars each time that passenger rides the roller coaster . if a certain passenger is to ride the roller coaster 6 times , what is the probability that the passenger will ride in each of the 6 cars ?
Output: 3 / 1944
Problem: bruce and anne can clean their house in 4 hours working together at their respective constant rates . if anne ’ s speed were doubled , they could clean their house in 3 hours working at their respective rates . how many d hours does it currently take anne to clean the house on her own ?
Output: 12
Problem: the average of runs of a cricket player of 20 innings was 32 . how many runs must he make in his next innings so as to increase his average of runs by 8 ?
Output: 200
Problem: a 9 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?
Output: 2 / 9
Problem: a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 17 , the how old is b ? a . 7 b . 8 c . 9 d . 10 explanation :
Output: 6
Problem: two pipes can fill a tank in 12 minutes and 20 minutes respectively . both pipes are opened together and after some time the first pipe is closed and the tank is full in totally 10 minutes . for how many minutes was first pipe open ?
Output: 6 minutes
Problem: what is the area inscribed by the lines y = 6 , x = 3 , y = 2 x - 4 on an xy - coordinate plane ?
Output: c ) 4
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 - fourth of the males and three - fourths of the females in the class ?
Output: 198
Problem: the average of 50 numbers id 20 . if two numbers , namely 45 and 55 are discarded , the average of the remaining numbers is :
Output: 18.7
Problem: the area of a triangle is with base 10 m and height 10 m ?
Output: 50
Problem: in what time will a railway train 40 m long moving at the rate of 36 kmph pass a telegraph post on its way ?
Output: 4 sec
Problem: find remainder if ( 67 ^ 67 + 67 ) is divided by 68
Output: 66
Problem: last year a worker saved 6 % of her annual salary . this year , she made 20 % more money than last year and she saved 5 % of her salary . the amount she saved this year was what percent of the amount she saved last year ?
Output: 100 %
Problem: a walks at 10 kmph and 4 hours after his start , b cycles after him at 20 kmph . how far from the start does b catch up with a ?
Output: 80 km
Problem: a and b can do a piece of work in 10 days and 10 days respectively . they work together for 10 days and b leaves . in how many days the whole work is completed ?
Output: 30 days
Problem: one hour before john started walking from p to q , a distance of 33 miles , ann had started walking along the same road from q to p . ann walked at a constant speed of 3 miles per hour and john at 2 miles per hour . how many miles had ann walked when they met ?
Output: 21 mile
Problem: kim finds a 2 - 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 / 5
Problem: two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and 45 % respectively . a candidate scored 216 marks in the second test and failed by 36 marks in that test . find the pass mark in the first test ?
Output: 22
Problem: a man can swim in still water at 12 km / h , but takes twice as long to swim upstream than downstream . the speed of the stream is ?
Problem: nitin ranks 24 th in a class of 58 students . what is rank from the last ?
Output: 34
Problem: a certain meter records voltage between 0 and 10 volts inclusive . if the average value of 3 recordings on the meter was 4 volts , what was the smallest possible recording in volts ?
Output: 2
Problem: 5 drainage pipes , each draining water from a pool at the same constant rate , together can drain a certain pool in 12 days . how many additional pipes q , each draining water at the same constant rate , will be needed to drain the pool in 4 days ?
Output: 10
Problem: set a { 3 , 3,3 , 4,5 , 5,5 } has a standard deviation of 1 . what will the standard deviation be if every number in the set is multiplied by 3 ?
Output: d ) 3
Problem: a dress on sale in a shop is marked at $ d . during the discount sale its price is reduced by 45 % . staff are allowed a further 40 % reduction on the discounted price . if a staff member buys the dress what will she have to pay in terms of d ?
Output: 0.33
Problem: convert 300 miles into km ?
Output: 480 km
Problem: difference of 2 numbers is 100 . if 5 % of one number is 10 % of the other number , find the addition of 2 numbers ?
Output: 300
Problem: in a room with 6 people , 4 people have exactly 1 friend in the room and 3 people have exactly 2 friends in the room ( assuming that friendship is a mutual relationship , i . e . if jane is paul ' s friend , paul is jane ' s friend ) . if two individuals are selected from the room at random , what is the probability that those two individuals are not friends ?
Output: 16 / 1
Problem: the average weight of 4 person ' s increases by 8.5 kg when a new person comes in place of one of them weighing 95 kg . what might be the weight of the new person ?
Output: 129 kg
Problem: the s . i . on a certain sum of money for 2 years at 8 % 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: 262
Problem: two trains 120 m and 160 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?
Output: 10.08
Problem: a , b and c start a business each investing 20,000 . after 6 months a withdrew 5000 , b withdrew 4000 and c invests 6000 more . at the end of the year , a total profit of 67,600 was recorded . find the share of b .
Output: 21,600
Problem: in the first 20 overs of a cricket game , the run rate was only 4.6 . what should be the run rate in the remaining 30 overs to reach the target of 396 runs ?
Output: 10.13
Problem: a club wants to mix 10 pounds of candy worth $ 8.00 per pound with candy worth $ 5.00 per pound to reduce the cost of the mixture to $ 6.00 per pound . how many pounds of the $ 5.00 per pound candy should be used ?
Output: 20
Problem: a ferry can transport 50 tons of vehicles . automobiles range in weight from 1,800 to 3,200 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ?
Output: 55
Problem: if the annual increase in the population of a town is 10 % and the present number of people is 15000 , what will the population be in 2 years ?
Output: 18150
Problem: a plant manager must assign 8 new workers to one of five shifts . she needs a first , second , and third shift , and two alternate shifts . each of the shifts will receive 2 new workers . how many different ways can she assign the new workers ?
Output: 336
Problem: 1 = 62 = 363 = 3634 = 3645 = 365 , then 36 = ?
Output: 2
Problem: a and b can do a piece of work in 7 days . with the help of c they finish the work in 5 days . c alone can do that piece of work in ?
Output: 30 days
Problem: convert the 13 / 36 m / s into kilometers per hour ?
Output: 1.3
Problem: a man has some hens and cows . if the number of heads be 100 and the number of feet equals 240 , then the number of cows will be :
Output: 20
Problem: find large number from below question the difference of two numbers is 1000 . on dividing the larger number by the smaller , we get 10 as quotient and the 10 as remainder
Output: 1110
Problem: the average height of 30 girls out of a class of 40 is 160 cm . and that of the remaining girls is 156 cm . the average height of the whole class is :
Output: 159 cms
Problem: what is the units digit of 16 ^ 83 × 13 ^ 82 × 11 ^ 87 ?
Output: 6
Problem: a man owns 1 / 3 of market reserch beauro buzness , and sells 3 / 5 of his shares for 15000 rs , what is the value of buzness ?
Output: 75000
Problem: jaylen was planning to save all summer for a pair of jordan 12 s . they cost $ 250 . jaylen figured that he could cut grass to help with the cost of the sneakers . how many yards would jaylen have to cut if he charges $ 2.15 per yard ?
Output: 115.74 yards
Problem: what is the total number of integers between 200 and 500 that are divisible by 25 ?
Output: 15
Problem: at the end of the month , a certain ocean desalination plant ’ s reservoir contained 30 million gallons of water . this amount is twice the normal level . if this amount represents 75 % of the reservoir ’ s total capacity , how many million gallons short of total capacity is the normal level ?
Output: 20
Problem: matt gets a $ 1000 commission on a big sale . this commission alone raises his average commission by $ 150 . if matt ' s new average commission is $ 250 , how many sales has matt made ?
Output: 6
Problem: the present worth of $ 169 due in 2 years at 4 % per annum compound interest is ?
Output: $ 156.25
Problem: an urn contains 10 black and 5 white balls . two balls are drawn from the urn one after the other without replacement . what is the probability that both drawn balls are black ?
Output: 3 / 7
Problem: by selling 11 pencils for a rupee a man loses 10 % . how many for a rupee should he sell in order to gain 20 % ?
Output: 8.25
Problem: in the first 10 overs of a cricket game , the run rate was only 4.2 . what should be the run rate in the remaining 40 overs to reach the target of 282 runs ?
Problem: average between two sets of numbers is closer to the set withmore numbers ?
Output: 80
Problem: crazy eddie has a key chain factory . eddie managed to decrease the cost of manufacturing his key chains while keeping the same selling price , and thus increased the profit from the sale of each key chain from 50 % of the selling price to 50 % of the selling price . if the manufacturing cost is now $ 50 , what was it before the decrease ?
Output: $ 50
Problem: if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2240 less than the principal . what was the principal ?
Output: 2800
Problem: a jeep takes 9 hours to cover a distance of 480 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?
Output: 35 kmph
Problem: what is the tens digit of 6 ^ 22 ?
Output: 3
Problem: in one hour , a boat goes 7 km along the steram and 5 km against the stream . the speed of the boat in still waer ( in km / hr ) is :
Output: 6
Problem: a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 36 sec . what is the length of the platform ?
Output: 25
Problem: a certain sum of money is divided among a , b and c such that a gets one - third of what b and c together get and b gets two - seventh of what a and c together get . if the amount received by a is $ 15 more than that received by b , find the total amount shared by a , b and c .
Output: $ 54
Problem: the distance between a & b is 1540 km . a person is traveling from a to b at 100 km / hr started at 6 am and another person is traveling from b to a at 120 km / hr and started at same time . then at what time they meet together .
Output: 1 pm
Problem: williams works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 8 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ?
Output: 4 /
Problem: ajay can ride 50 km in 1 hour . in how many hours he can ride 1000 km ?
Output: 20 hrs
Problem: 0.0008 ? = 0.02
Output: 0.0
Problem: if each edge of cube increased by 50 % , the percentage increase in
Output: 125
Problem: a car started running at a speed of 30 km / hr and the speed of the car was increased by 2 km / hr at the end of every hour . find the total distance covered by the car in the first 11 hours of the journey .
Output: 440 km
Problem: a ' s speed is 20 / 13 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 b beats a by 80 % of the length of the race ?
Output: 87
Problem: marginal cost is the cost of increasing the quantity produced ( or purchased ) by one unit . if the fixed cost for n products is $ 12,000 and the marginal cost is $ 200 , and the total cost is $ 16,000 , what is the value of n ?
Output: 20
Problem: the mark up between ` ` normal plan ' ' price and ` ` premium plan ' ' price is 30 percent of the ` ` normal plan ' ' price . the markup is what percent of the ` ` premium plan ' ' price ? ( markup = difference between normal and premium price plans )
Output: 33 1 / 3 %
Problem: 90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up 50 % of the total school population of x students , what is x ?
Output: 134
Problem: paul ' s income is 40 % less than rex ' s income , quentin ' s income is 20 % less than paul ' s income , and sam ' s income is 40 % less than paul ' s income . if rex gave 60 % of his income to sam and 40 % of his income to quentin , quentin ' s new income would be what fraction of sam ' s new income ?
Output: 11 / 12
Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 8 technicians is rs . 12000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is :
Output: 2
Problem: what is the sum of all 3 digit numbers that leave a remainder of ' 2 ' when divided by 7 ?
Output: 70,592
Problem: a tyre has two punctures . the first puncture alone would have made the tyre flat in 9 minutes and the second alone would have done it in 6 minutes . if air leaks out at a constant rate , how long does it take both the punctures together to make it flat ?
Output: 335 min
Problem: a sum of money is distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets $ 1000 more than d , what is the b ' s share ?
Output: $ 2000
Problem: alex takes a loan of $ 6,000 to buy a used truck at the rate of 8 % simple interest . calculate the annual interest to be paid for the loan amount .
Output: 480
Problem: during a certain two - week period , 60 percent of the movies rented from a video store were comedies , and of the remaining movies rented , there were 3 times as many dramas as action movies . if no other movies were rented during that two - week period and there were a action movies rented , then how many comedies , in terms of a , were rented during that two - week period ?
Output: 6 a
Problem: if 15 % of a is the same as 40 % of b , then a : b is :
Output: 8 : 3
Problem: after successive discounts of 20 % , 10 % and 5 % a certain good is sold for rs . 6500 . find the actual price of the good .
Output: s . 9503
Problem: if a man walks at a rate of 10 kmph , he misses a train by 14 minutes . however , if he walks at the rate of 12 kmph , he reaches the station 10 minutes before the arrival of the train . find the distance covered by him to reach the station .
Output: 6
Problem: of 32 applicants for a job , 14 had at least 4 years ' experience , 18 had degrees , and 7 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ?
Output: 7
Problem: a box contains 10 tablets of medicine a and 10 tablets of medicine b . what is the least number of tablets that should be taken from the box to ensure that at least two tablets of each kind are among the extracted .
Output: 12
Problem: express a speed of 63 kmph in meters per second ?
Output: 17.5 mps
Problem: if w / x = 2 / 3 and w / y = 3 / 5 , then ( x + y ) / y =
Output: 9 / 10
Problem: what least number must be subtracted from 42739 so that remaining no . is divisible by 15
Output: 4
Problem: 18 business executives and 7 chairmen meet at a conference . if each business executive shakes the hand of every other business executive and every chairman once , and each chairman shakes the hand of each of the business executives but not the other chairmen , how many handshakes would take place ?
Output: 279
Problem: for each color copy , print shop x charges $ 1.25 and print shop y charges $ 2.75 . how much greater is the charge for 40 color copies at print shop y than at print shop x ?
Output: $ 60
Problem: the probability of two events a and b are 0.20 and 0.40 respectively . the probability that both a and b occur is 0.15 . the probability that neither a nor b occur is _________
Output: 0.55