niryuu/sni-each-converted huggingface dataset:
Problem: the profits of qrs company rose 20 % from march to april , then dropped 20 % from april to may , then rose 50 % from may to june . what was the percent increase for the whole quarter , from march to june ?
Output: 44 %
Problem: if the speed of a man is 63 km per hour , then what is the distance traveled by him in 25 seconds ?
Output: 437.5 m
Problem: john purchased some shirts and trousers for $ 700 . he paid $ 400 less for the shirts than he did for the trousers . if he bought 5 shirts and the cost of a shirt is $ 20 less than that of a trouser , how many trousers did he buy ?
Output: 1
Problem: if a sum of money doubles itself in 10 years at simple interest , the ratepercent per annum is
Output: 10
Problem: a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route . they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up , but the time each route will take is the same . if they will go up the mountain at a rate of 7 miles per day and it will take them two days , how many miles long is the route down the mountain ?
Output: 21
Problem: of the goose eggs laid at a certain pond , 1 / 4 hatched and 4 / 5 of the geese that hatched from those eggs survived the first month . of the geese that survived the first month , 3 / 5 did not survive the first year . if 120 geese survived the first year and if no more than one goose hatched from each egg , how many goose eggs were laid at the pond ?
Output: 1500
Problem: 2.08 can be expressed in terms of percentage as
Output: 208 %
Problem: the population of a town is 8000 . it decreases annually at the rate of 30 % p . a . what will be its population after 2 years ?
Output: 3920
Problem: a hall is 15 meters long and 10 meters wide . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of four walls , what is the volume of the hall ( in cubic meters ) ?
Output: 900
Problem: a basketball team composed of 12 players scored 100 points in a particular contest . if none of the individual players scored fewer than 7 points , what is the greatest number of points e that an individual player might have scored ?
Output: 2
Problem: a certain company retirement plan has arule of 70 provision that allows an employee to retire when the employee ' s age plus years of employment with the company total at least 70 . in what year could a female employee hired in 1990 on her 32 nd birthday first be eligible to retire under this provision ?
Output: 2009
Problem: the average age of 17 persons in a office is 15 years . out of these , the average age of 5 of them is 14 years and that of the other 9 persons is 16 years . the age of the 15 th person is ?
Output: 41
Problem: ajay can ride 50 km in 1 hour . in how many hours he can ride 1500 km ?
Output: 30 hrs
Problem: a square mirror has exactly half the area of the rectangular wall on which it is hung . if each side of the mirror is 54 inches and the width of the wall is 68 inches , what is the length of the wall , in inches ?
Output: 85.7', 'e ) 56.7'
Problem: fresh grapes contain 80 % water by weight and raisins obtained by drying fresh grapes contain 25 % water by weight . how many kgs of fresh grapes are needed to get 40 kgs of raisins ?
Output: 150 kgs
Problem: a is twice as good a work man as b and together they finish the work in 4 days . in how many days a alone can finish the work ?
Problem: if p is the product of the integers from 1 to 30 , inclusive , what is the greatest integer k for which 3 ^ k is a factor of p ?
Output: 14
Problem: the membership of a committee consists of 3 english teachers , 4 mathematics teachers , and 2 social studies teachers . if 2 committee members are to be selected at random to write the committee ’ s report , what is the probability that the two members selected will both be english teachers ?
Output: 1 / 12
Problem: a woman swims downstream 45 km and upstream 15 km taking 3 hours each time , what is the speed of the woman in still water ?
Output: 10
Problem: in order to obtain an income of rs . 1000 from 50 % stock at rs . 500 , one must make an investment of
Output: rs . 10000
Problem: jack and jill are marathon runners . jack can finish a marathon ( 40 km ) in 4.5 hours and jill can run a marathon in 4.0 hours . what is the ratio of their average running speed ? ( jack : jill )
Output: 8 / 9
Problem: a snooker tournament charges $ 45.00 for vip seats and $ 15.00 for general admission ( “ regular ” seats ) . on a certain night , a total of 300 tickets were sold , for a total cost of $ 7,500 . how many fewer tickets were sold that night for vip seats than for general admission seats ?
Output: 220
Problem: the length of a rectangular floor is more than its breadth by 100 % . if rs . 600 is required to paint the floor at the rate of rs . 3 per sq m , then what would be the length of the floor ?
Output: 14.4 m .
Problem: 5 % people of a village in sri lanka died by bombardment , 20 % of the remainder left the village on account of fear . if now the population is reduced to 3553 , how much was it in the beginning ?
Output: 4675
Problem: what is the sum of the odd integers from 35 to 55 , inclusive ?
Output: 495
Problem: every monday , marina eats one croissant and every tuesday she eats two croissants . on each subsequent day of the week , she eats a number of croissants equal to the sum of the croissants eaten on the two previous days , with the exception that if she eats more than 4 croissants on any particular day , the next day she will eat only one croissant . at the end of the week ( which runs from monday through sunday ) , the cycle resets , and marina goes back to eating one croissant on monday , two on tuesday , and so forth . if a particular month begins on a saturday , how many croissants will marina eat on the 30 th of that month ?
Output: 1
Problem: a boy swims downstream 48 km and upstream 12 km taking 6 hours each time ; what is the speed of the current ?
Output: 3
Problem: if the sides of a cube are in the ratio 5 : 3 . what is the ratio of their diagonals ?
Output: 5 : 3'
Problem: the average weight of 26 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: 49.05
Problem: a one - foot stick is marked in 1 / 4 and 1 / 5 portion . how many total markings will there be , including the end points ?
Output: 9
Problem: find out the c . i on rs . 5000 at 4 % p . a . compound half - yearly for 1 1 / 2 years ?
Output: 306.04
Problem: the average score of a cricketer in 2 matches is 30 and in other 3 matches is 40 . then find the average score in all the 5 matches ?
Output: 3
Problem: two spherical balls lie on the ground touching . if one of the balls has a radius of 9 cm , and the point of contact is 10 cm above the ground , what is the radius of the other ball ( in centimeters ) ?
Output: 90 / 8
Problem: in what ratio must tea at rs . 62 per kg be mixed with tea at rs . 72 per kg so that the mixture must be worth rs . 64.50 per kg ?
Output: 3 : 1
Problem: a solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm . the height of the cone is :
Output: 3 cm', 'e ) none'
Problem: the present worth of rs . 2310 due years hence , the rate of interest being 15 % per annum , is :
Output: rs . 1680
Problem: if x is the median of the set { 8 / 2 , 11 / 3 , 27 / 9 , 21 / 5 , x } , x could be
Output: 4
Problem: how many seconds will a train 100 meters long take to cross a bridge 140 meters long if the speed of the train is 36 kmph ?
Output: 24
Problem: while working alone at their constant rates , computer x can process 240 files in 12 hours , and computer y can process 240 files in 6 hours . if all files processed by these computers are the same size , how many hours would it take the two computers , working at the same time at their respective constant rates , to process a total of 240 files ?
Output: 4
Problem: a and b together can complete work in 6 days . a alone starts working and leaves it after working for 4 days completing only half of the work . in how many days it can be completed if the remaining job is undertaken by b ?
Output: 12
Problem: in town x , 64 percent of the population are employed , and 46 percent of the population are employed males . what percent of the employed people in town x are females ?
Output: 28 %
Problem: the lcm of two numbers is 2310 and hcf is 55 . if one of the numbers is 210 . then what is the other number ?
Output: 605
Problem: what is the sum of all possible solutions to | x - 2 | ^ 2 + | x - 2 | = 20 ?
Output: 8
Problem: a and b invests rs . 2500 and rs . 4000 respectively in a business . if a doubles his capital after 6 months . in what ratio should a and b divide that year ' s profit ?
Output: 15 : 16
Problem: find the average of first 4 multiples of 11 ?
Output: 27.5
Problem: a car traveled from san diego to san francisco at an average speed of 54 miles per hour . if the journey back took twice as long , what was the average speed of the trip ?
Output: 36 .
Problem: a runner runs the 40 miles from marathon to athens at a constant speed . halfway through the run she injures her foot , and continues to run at half her previous speed . if the second half takes her 8 hours longer than the first half , how many hours did it take the runner to run the second half ?
Output: 16
Problem: a pump will fill a tank in 3 hours . because of a leak in the tank , it took 3 hours 30 min to fill the tank . in what time the leak can drain out all the water of the tank and will make tank empty ?
Output: 21 hrs
Problem: the area of a square garden is q square feet and the perimeter is p feet . if q = p + 21 , what is the perimeter of the garden in feet ?
Output: 28', 'c ) 32', 'd ) 36', 'e ) 40'
Problem: a train 100 m long passes a man , running at 5 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is ?
Output: 41
Problem: a positive number x is multiplied by 2 , and this product is then divided by 4 . if the positive square root of the result of these two operations equals x , what is the value of x ?
Output: 9 / 4
Problem: how many multiples of 3 are there between 10 and 100 , exclusive ?
Output: 30
Problem: an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 28 gallons of ethanol , how many gallons of fuel a were added ?
Output: 100
Problem: maxwell leaves his home and walks toward brad ' s house . one hour later , brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 14 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the total time it takes maxwell before he meets up with brad ?
Output: 2
Problem: the total price of a basic computer and printer are $ 2,500 . if the same printer had been purchased with an enhanced computer whose price was $ 500 more than the price of the basic computer , then the price of the printer would have been 2 / 5 of that total . what was the price of the basic computer ?
Output: 1300
Problem: in a lottery there are 20 prizes and 35 blanks . a lottery is drawn at random . what is the probability of getting a prize
Output: 4 / 11
Problem: lloyd normally works 7.5 hours per day and earns $ 3.50 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: $ 42.00
Problem: tammy climbed a mountain in two days . she spent a total of 14 hours climbing the mountain . on the second day , she walked at an average speed that was half a kilometer per hour faster , but 2 hours less than what she walked on the first day . if the total distance she climbed during the two days is 52 kilometers , how many e kilometers per hour did tammy walk on the second day ?
Output: 4
Problem: the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 462 the other is
Output: 150
Problem: a reduction of 22 % in the price of salt enables a lady to obtain 10 kgs more for rs . 100 , find the original price per kg ?
Output: s . 2.82
Problem: a person incurs a loss of 5 % be selling a watch for rs . 1140 . at what price should the watch be sold to earn 5 % profit .
Output: rs . 1260
Problem: patanjali 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 she walked the same number of hours as on the first day , but at the same speed as on the second day . how many miles in total did she walk ?
Output: 6
Problem: the current in a river is 10 mph . a boat can travel 50 mph in still water . how far up the river can the boat travel if the round trip is to take 5 hours ?
Output: 120
Problem: 60 is to be divided into two parts such that the sum of 10 times the first and 22 times the second is 780 . the bigger part is :
Output: 45
Problem: the sum of two number is 25 and their difference is 13 . find their product .
Output: 114
Problem: a library branch originally contained 18360 volumes , 30 % of which were fiction novels . 1 / 3 of the volumes were transferred to another location and 1 / 5 of the volumes transferred were fiction novels . what percent of the remaining collection was fiction novels ?
Output: 36 %
Problem: there is one 4 - digit whole number n , such that the last 4 digits of n 2 are in fact the original number n
Output: 9376
Problem: when two dice are tossed , what is the probability that the total score is a prime number ?
Output: 5 / 12
Problem: running at the same constant rate , 6 identical machines can produce a total of 420 bottles per minute . at this rate , how many bottles could 10 such machines produce in 4 minutes ?
Output: 2800
Problem: there is food for 760 men for 22 days . how many more men should join after two days so that the same food may last for 5 days more ?
Output: 2280
Problem: the ratio of the volumes of two cubes is 216 : 343 . what is the ratio of their total surface areas ?
Output: 31 : 36
Problem: the length and breadth of a rectangle is increased by 10 % and 30 % respectively . what is the increase in the area ?
Output: 43.0
Problem: the distance between 2 cities a and b is 1000 km . a train starts from a at 11 a . m . and travels towards b at 100 km / hr . another starts from b at 12 p . m . and travels towards a at 150 km / hr . at what time do they meet ?
Output: 4 p . m .
Problem: in the number 11,0 ab , a and b represent the tens and units digits , respectively . if 11,0 ab is divisible by 65 , what is the greatest possible value of b × a ?
Output: 10
Problem: if k is the greatest positive integer such that 3 ^ k is a divisor of 15 ! then k =
Output: 6
Problem: how many of the integers between 15 and 55 are even ?
Output: 20
Problem: count the numbers between 10 - 99 which yield a remainder of 5 when divided by 8 and also yield a remainder of 1 when divided by 6 ?
Output: fou
Problem: a train 510 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 140 m long ?
Output: 52
Problem: if ryan and smith car ratio is 5 : 8 . ryan bought 6 new car and smith bought 2 new car . now , smith has 18 car . what is their car ratio now ?
Output: 8 : 9
Problem: a ( 7 , w ^ 3 ) is the ( x , y ) coordinate of point located on the parabola y = x ^ 2 + 15 . what is the value of w ?
Output: 4 .
Problem: the timing of a college is from 12 p . m to 4.10 p . m . five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students . find the duration of each lecture .
Output: 46 minutes
Problem: the grade point average of one third of the classroom is 45 ; the grade point average of the rest is 60 . what is the grade point average of the whole class ?
Output: 55
Problem: 63 persons can repair a road in 12 days , working 5 hours a day . in how many days will 30 persons , working 6 hours a day , complete the work ?
Output: 21
Problem: marcella has 24 pairs of shoes . if she loses 9 individual shoes , what is the greatest number of matching pairs she could have left ?
Output: 19
Problem: the sum of the squares of three numbers is 138 , while the sum of their products take two at a time is 131 . find the sum ?
Output: 20
Problem: two trains are approaching each other at 60 mph each . the length of each train is 1 / 6 miles . when the two locomotives ( engines ) meet , how many seconds will it take for them to pass each other completely ?
Output: 10 sec
Problem: a courtyard is 25 meter long and 15 meter board is to be paved with bricks of dimensions 20 cm by 10 cm . the total number of bricks required is ?
Output: 18750
Problem: a team won 50 percent of its first 60 games in a particular season , and 80 percent of its remaining games . if the team won a total of 70 percent of its games that season , what was the total number of games that the team played ?
Output: 18
Problem: if k and w are the dimensions of a rectangle that has area 48 , and if k and w are integers such that k > w , what is the total number of possible values of k ?
Output: four
Problem: a number when divided by 5 , gives 45 as quotient and 0 as remainder . what will be the remainder when dividing the same number by 10
Output: a ) 5
Problem: a certain elevator has a safe weight limit of 1950 pounds . what is the greatest possible number of people who can safely ride on the elevator at one time with the average ( arithmetic mean ) weight of half the riders being 190 pounds and the average weight of the others being 200 pounds ?
Output: 10
Problem: a and b invests rs . 8000 and rs . 12000 in a business . after 4 months , a withdraws half of his capital and 2 months later , b withdraws one - third of his capital . in what ratio should they share the profits at the end of the year ?
Output: 8 : 15
Problem: the height of the wall is 6 times its width and length of the wall is 7 times its height . if the volume of the wall be 86436 cu . m . its width is
Output: 7 m
Problem: money invested at x % , compounded annually , triples in value in approximately every 112 / x years . if $ 2000 is invested at a rate of 8 % , compounded annually , what will be its approximate worth in 28 years ?
Output: $ 18,000
Problem: a man buys rs . 44 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . the market value of each share is :
Output: s . 3
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 / 16 meters . what is value of the radius in meters ?
Output: 4
Problem: the duplicate ratio of 4 : 5 is ?
Output: 16 : 2
Problem: how many different ways can 2 students be seated in a row of 5 desks , so that there is always at least one empty desk between the students ?
Output: 1
Problem: he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 70 kg . what might be the weight of the new person ?
Output: 90 kg
Problem: if the function q is defined by the formula q = 5 w / ( 4 h ( z ^ 2 ) ) , by what factor will q be multiplied if w is quadrupled , h is doubled , and z is tripled ?
Output: 2 / 9
Problem: ( 856942 x 555 ) = ?
Output: 475602810
Problem: the radius of a wheel is 20.4 cm . what is the distance covered by the wheel in making 400 resolutions ?
Output: 512.448 m
Problem: a , b , c and d enter into partnership . a subscribes 1 / 3 of the capital b 1 / 4 , c 1 / 5 and d the rest . how much share did c get in a profit of rs . 2490 ?
Output: s . 498
Problem: a particular store purchased a stock of turtleneck sweaters and marked up its cost by 20 % . during the new year season , it further marked up its prices by 25 % of the original retail price . in february , the store then offered a discount of 20 % . what was its profit on the items sold in february ?
Output: 20 %
Problem: if the cost price of 50 articles is equal to the selling price of 20 articles , then the gain or loss percent is ?
Output: 15
Problem: what is rate of interest if principal . amount be 400 , simple interest 160 and time 2 year .
Output: 20
Problem: on her annual road trip to visit her family in seal beach , california , traci stopped to rest after she traveled 1 ⁄ 2 of the total distance and again after she traveled 1 ⁄ 4 of the distance remaining between her first stop and her destination . she then drove the remaining 200 miles and arrived safely at her destination . what was the total distance , in miles , from traci ’ s starting point to seal beach ?
Output: 800
Problem: the radius of a sphere is increased by 50 % . the increase in surface area of the sphere is :
Output: 125
Problem: a man can row 4 kmph in still water . when the river is running at 1.2 kmph , it takes him 1 hour to row to a place and black . what is the total distance traveled by the man ?
Output: 3.54
Problem: in a certain game , each player scores either 2 points or 5 points . if n players score 2 points and m players score 5 points , and the total number of points scored is 50 , what is the least possible positive difference w between n and m ?
Output: 3
Problem: h is a positive integer and 225 and 216 are both divisors of h . if h = ( 2 ^ a ) * ( 3 ^ b ) * ( 5 ^ c ) , where a , b and c are positive integers , what is the least possible value of a + b + c ?
Output: 8
Problem: if p and q are both odd prime numbers andp < q , then how many different positive integer factors does 2 pqhave ?
Output: 8
Problem: the average age of 25 students in a class is 12 years . 15 students whose average age is 10 years joined them . what is the present average age .
Output: 11.25
Problem: ? x 12 = 173 x 240
Output: 3460
Problem: a man goes to shopkeeper and says that if u give me as much as i have , i will spend rs . 10 / - on ur shop . shopkeeper agrees and man moves to another shopkeeper ans asked same . at 3 rd shop after all the transaction , he was left with no money . find the initial amount with the man
Output: 8.75
Problem: what is the average ( arithmetic mean ) of the numbers 15 , 16 , 17 , 17 , 18 , and 19 ?
Output: 17
Problem: a starts a business with $ 3500 . after 5 months , b joins with a as his partner . after a year , the profit is divided in the ratio 2 : 3 . b ' s contribution in the capital is
Output: 9000
Problem: two trains of length 180 m and 280 m are running towards each other on parallel lines at 42 kmph and 30 kmph respectively . in what time will they be clear of each other from the moment they meet ?
Output: 23 sec
Problem: a train running at the speed of 60 km / hr crosses a pole in 7 sec . what is the length of the train ?
Output: 116.6
Problem: sand is poured into a box so that the box is being filled at the rate of 4 cubic feet per hour . if the empty rectangular box is 7 feet long , 6 feet wide , and 2 feet deep , approximately how many hours does it take to fill the box ?
Output: 21', 'c ) 22', 'd ) 23', 'e ) 24'
Problem: a train 150 m long passes a man , running at 5 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is :
Output: 5
Problem: last year a worker saved 4 % of her annual salary . this year , she made 10 % 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: 137.5 %
Problem: two trains 111 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 40 km and the other at the rate of 50 kmph . in what time will they be completely clear of each other from the moment they meet ?
Output: 11.04
Problem: a corporation paid $ 10 million in federal taxes on its first $ 50 million of gross profits and then $ 30 million in federal taxes on the next $ 150 million in gross profits . by approximately what percent did the ratio of federal taxes to gross profits increase from the first $ 50 million in profits to the next $ 150 million in profits ?
Output: 0 %
Problem: a and b walk around a circular track . they start at 8 a . m from the same point in the opposite directions . a and b walk at a speed of 2 rounds per hour and 3 rounds per hour respectively . how many times shall they cross each other before 9 a . m
Output: 5
Problem: the product x of two prime numbers is between 17 and 100 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25 , then x =
Output: 9
Problem: 10 men and 15 women together can complete a work in 6 days . it takes 100 days for one man alone to complete the same work . how many days will be required for one woman alone to complete the same work ?
Output: 225 day
Problem: in a basket of apples , 12 % of them are rotten and 66 are in good condition . find the total number of apples in the basket .
Output: 75
Problem: a distributor sells a product through an on - line store , which take a commission of 20 % of the price set by the distributor . the distributor obtains the product from a producer at the price of $ 15 per item . what is the price that the buyer observers on - line if the distributor wants to maintain a 25 % profit on the cost of the item ?
Output: 2
Problem: a piece of cloth cost rs 35 . if the length of the piece would have been 4 m longer and each meter cost re 1 less , the cost would have remained unchanged . how long is the piece ?
Output: 10 mtrs
Problem: what is the average of 4 tenths and 5 thousandths ?
Output: 0.2025
Problem: the average weight of a , b and c is 43 kg . if the average weight of a and b be 48 kg and that of b and c be 42 kg , then the weight of b is :
Output: 51 k
Problem: pipe p can fill a tank in 3 hours , pipe q in 9 hours and pipe r in 18 hours . if all the pipes are open , in how many hours will the tank be filled ?
Output: 2 hours
Problem: if the population of a certain country increases at the rate of one person every 15 seconds , by how many persons does the population increase in 25 minutes ?
Output: 100
Problem: a monkey ascends a greased pole 10 meters high . he ascends 2 meters in the first minute and then slips down 1 meter in the alternate minute . if this pattern continues until he climbs the pole , in how many minutes would he reach at the top of the pole ?
Output: 17 th minute
Problem: the number 35 is equal to the sum of the cubes of two integers . what is the product of those integers ?
Output: 6
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 $ 9 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 discounts rates is 22 percent , what is the discount rate on pony jeans ?
Output: 10 %
Problem: two pipes a and b can separately fill a tank in 12 and 15 minutes respectively . a third pipe c can drain off 42 liters of water per minute . if all the pipes are opened , the tank can be filled in 15 minutes . what is the capacity of the tank ?
Output: 504
Problem: if i walk at 4 km / h , i miss the bus by 10 minutes . if i walk at 5 km / h , i reach 5 minutes before the arrival of the bus . how far i walk to reach the bus stand ?
Output: 5 km
Problem: a jogger running at 9 kmph along side a railway track is 260 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?
Output: 38 sec
Problem: mr . evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children . if mr . evans has 2 children and 6 grandchildren , then approximately what percentage of mr . evans estate will each grandchild receive ?
Output: 5.5 %
Problem: find the quotient when total no . of divisors of 16 ! is divided by right most non - zero digit of 15 !
Output: 672
Problem: if the wheel is 14 cm then the number of revolutions to cover a distance of 1408 cm is ?
Output: a ) 16
Problem: calculate the area of a triangle , if the sides of are 65 cm , 60 cm and 25 cm , what is its area ?
Output: 750 cm 2
Problem: if an object travels at 9 feet per second , how many feet does it travel in one hour ?
Output: 32400
Problem: the admission charge in a water park is $ 1 by adult and $ 0.75 by child accompanying an adult . how much was there of child with an adult who paid in quite $ 3.25 to have access to the water park ?
Output: 3
Problem: mr . evans will states that each of his children will receive an equal share of his estate and that his grandchildren will split a portion of the estate that is equal to the share received by each of his children . if mr . evans has 3 children and 5 grandchildren , then approximately what percentage of mr . evans estate will each grandchild receive ?
Output: 5.0 %
Problem: the l . c . m of two numbers is 495 and their h . c . f is 5 . if the sum of the numbers is 100 , then their difference is
Output: 10
Problem: what is the sum of the greatest common factor and the lowest common multiple of 48 and 72
Output: 168
Problem: the area of a square is 4225 sq cm . find the ratio of the breadth and the length of a rectangle whose length is twice the side of the square and breadth is 24 cm less than the side of the square .
Output: 41 : 13
Problem: jisha 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 she walked the same number of hours as on the first day , but at the same speed as on the second day . how many miles in total did she walk ?
Output: 6
Problem: the spherical ball of lead 3 cm in diameter is melted and recast into 3 spherical balls . the diameters of two of these are 1 1 / 2 cm and 2 cm respectively . the diameter of third ball is ?
Output: 2.5
Problem: thirty percent of the members of a swim club have passed the lifesaving test . among the members who have not passed the test , 21 have taken the preparatory course and 42 have not taken the course . how many members are there in the swim club ?
Output: 90
Problem: ravi purchased a refrigerator and a mobile phone for rs . 15000 and rs . 8000 respectively . he sold the refrigerator at a loss of 2 percent and the mobile phone at a profit of 10 percent . overall he make a .
Output: 500
Problem: on a map the distance between two mountains is 312 inches . the actual distance between the mountains is 136 km . ram is camped at a location that on the map is 28 inch from the base of the mountain . how many km is he from the base of the mountain ?
Output: 12.2
Problem: positive integer y is 50 percent of 25 percent of positive integer x , and y percent of x equals 100 . what is the value of y ?
Output: 125
Problem: in simple interest what sum amounts of rs . 1120 / - in 4 years and rs . 1200 / - in 5 years ?
Output: rs . 800
Problem: if 9 a - b = 10 b + 50 = - 12 b - 2 a , what is the value of 11 a + 11 b ?
Output: 0
Problem: the current of a stream runs at the rate of 4 kmph . a boat goes 6 km and back to the starting point in 2 hours , then find the speed of the boat in still water ?
Output: 8
Problem: cathy and jim begin running at the same time and they start at the same place on a straight path . cathy runs at 10 miles per hour , and jim runs at 6 miles per hour . after 18 minutes , cathy stops to stretch . if it takes cathy 27 minutes to stretch and jim continues to run during this time , how many minutes will it take cathy to catch up to jim ?
Output: 22.5
Problem: the speed of a car is 65 km in the first hour and 45 km in the second hour . what is the average speed of the car ?
Output: 55 kmph
Problem: set x consists of all two - digit primes and set y consists of all positive multiples of 4 less than 100 . if the two sets are combined into one , what will be the range of the new set ?
Output: 93
Problem: car z travels 50 miles per gallon of gasoline when driven at a constant rate of 45 miles per hour , but travels 20 percent fewer miles per gallon of gasoline when driven at a constant rate of 60 miles per hour . how many miles does car z travel on 10 gallons of gasoline when driven at a constant rate of 60 miles per hour ?
Output: 400
Problem: 30 % of employees are women with fair hair . 40 % of fair - haired employees are women . what percent of employees have fair hair ?
Output: 7
Problem: the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 255 , then the mean profit for the last 15 days would be
Output: rs . 445
Problem: a rectangle the length of which is 8 inches and the width of which is 6 inches is made up 48 1 inch by 1 inch squares . through how many of the squares does a diagonal of the rectangle pass ?
Output: 12', 'e ) 16'
Problem: if x + y = 3 and x 2 y 3 + y 2 x 3 = 27 , what is the value of xy ?
Output: 3
Problem: the balance of a trader weighs 10 % less than it should . still the trader marks up his goods to get an overall profit of 20 % . what is the mark up on the cost price ?
Output: 8 %
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 16 meters . what is value of the radius in meters ?
Output: 1 / 4
Problem: working together , wayne and his son can shovel the entire driveway in three hours . if wayne can shovel six times as fast as his son can , how many hours would it take for his son to shovel the entire driveway on his own ?
Output: 7
Problem: a 600 meter long train crosses a signal post in 40 seconds . how long will it take to cross a 7.2 kilometer long bridge , at the same speed ?
Output: 8 min
Problem: a bag contains 6 black and 7 white balls . one ball is drawn at random . what is the probability that the ball drawn is white ?
Output: 7 / 1
Problem: a car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 100 kilometers per hour . at what speed , in kilometers per hour , is the car traveling ?
Output: 94.
Problem: how many multiples of 4 are there between 4 and 64 ?
Output: 14
Problem: points a , b , c , and d , in that order , lie on a line . if ab = 3 cm , ac = 4 cm , and bd = 8 cm , what is cd , in centimeters ?
Output: 7
Problem: a can do a piece of work in 5 hours ; b and c together can do it in 3 hours , while a and c together can do it in 2 hours . how long will b alone take to do it ?
Output: 30
Problem: there is a 10 % chance that tigers will not win at all during the whole season . there is a 20 % chance that federer will not play at all in the whole season . what is the greatest possible probability that the tigers will win and federer will play during the season ?
Output: 80
Problem: lally ' 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 lally 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: a retailer bought a machine at a wholesale price of $ 108 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 of the machine ?
Output: 14
Problem: if n is the smallest integer such that 72 times n is the square of an integer , what is the value of n ?
Output: 2
Problem: in one day , juan sends keith 8 times as many messages as he sends laurence , and laurence sends missy 4.5 times as many messages as he receives from juan . if missy received 18 messages from laurence , how many messages does keith receive from juan ?
Output: 32
Problem: the area of a triangle will be when a = 1 m , b = 2 m , c = 3 m , a , b , c being lengths of respective sides .
Output: 0 sq m', 'b ) 7 sq m', 'c ) 2 sq m', 'd ) 3 sq m', 'e ) 6 sq m'
Problem: edward earns $ 7.00 per hour for the first 40 hours he works per week , and twice this rate for overtime . if michael earned $ 210 last week , how many hours did he work ?
Output: 45
Problem: i bought two books ; for rs . 470 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ?
Output: 274.17
Problem: 18 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: 9 days
Problem: when positive integer x is divided by positive integer y , the remainder is 9 . if x / y = 96.45 , what is the value of y ?
Output: 20
Problem: an employee ’ s annual salary was increased $ 5000 . if her new annual salary now equals $ 25000 what was the percent increase ?
Output: 80 %
Problem: it takes avery 3 hours to build a brick wall while tom can do it in 4 hours . if the two start working together and after an hour avery leaves , how much time will it take tom to complete the wall on his own ?
Output: 1 hour and 41 minutes
Problem: of the 200 employees in a certain company , 30 percent will be relocated to city x and the remaining 70 percent will be relocated to city y . however , 40 percent of the employees prefer city y and 60 percent prefer city x . what is the highest possible number of employees who will be relocated to the city they prefer ?
Output: 140
Problem: the arithmetic mean and standard deviation of a certain normal distribution are 14.5 and 1.7 , respectively . what value is exactly 2 standard deviations less than the mean ?
Output: 11.1
Problem: divide rs . 1700 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 2 / 3 as a and c together . a ' s share is ?
Output: 425
Problem: the sector of a circle has radius of 24 cm and central angle 135 o . find its perimeter ?
Output: 104.6 cm
Problem: what is the x - intercept of a line that passes through the point ( 3 , 4 ) and has a slope of 2 ?
Output: 1
Problem: raja spends 35 % of his monthly income on household items , 20 % of his monthly income on buying cloths , 5 % of his monthly income on medicines and saves the remaining amount which is rs . 15000 . find his monthly income .
Output: rs . 37500
Problem: what least number should be subtracted from 13600 such that the remainder is divisible by 87 ?
Output: 28
Problem: four bells commence tolling together and toll at intervals of 2 , 4 , 6 , 8 seconds respectively . in 18 minutes , how many times do they toll together ?
Output: 45
Problem: what percent of 150 is 40 ?
Output: 26.67 %
Problem: list k consists of 12 consecutive integers . if - 5 is the least integer in list k , what is the range of the positive integers in list k ?
Output: 5
Problem: a dishonest dealer professes to sell goods at the cost price but uses a weight of 920 grams per kg , what is his percent ?
Output: 8.7
Problem: a man cheats while buying as well as while selling . while buying he takes 10 % more than what he pays for and while selling he gives 20 % less than what he claims to . find the profit percent , if he sells at 10 % below the cost price of the claimed weight .
Output: 23.75 %
Problem: a case contains c cartons . each carton contains b boxes , and each box contains 600 paper clips . how many paper clips are contained in 2 cases ?
Output: 1200 bc
Problem: an army ’ s recruitment process included n rounds of selection tasks . for the first a rounds , the rejection percentage was 60 percent per round . for the next b rounds , the rejection percentage was 50 percent per round and for the remaining rounds , the selection percentage was 70 percent per round . if there were 10000 people who applied for the army and 350 were finally selected , what was the value of n ?
Output: 9
Problem: the number 133 is equal to the sum of the cubes of two integers . what is the product of those integers ?
Output: 1
Problem: a ladder 30 feet long is leaning against a wall that is perpendicular to level ground . the bottom of the ladder is 10 feet from the base of the wall . if the top of the ladder slips down 5 feet , how many feet will the bottom of the ladder slip ?
Output: 18.92
Problem: if 3 workers collect 48 kg of cotton in 4 days , how many kg of cotton will 9 workers collect in 2 days ?
Output: 72 kg
Problem: a number divided by 34 leaves remainder 37 what is the remainder when same number divided by 9
Output: 0
Problem: a certain article of clothing was discounted during a special sale to 3 / 4 of its original retail price . when the clothing did n ' t sell , it was discounted even further to 1 / 3 of its original retail price during a second sale . by what percent did the price of this article of clothing decrease from the first sale to the second sale ?
Output: 55.55 %
Problem: what is the least number which should be added to 2597 so that the sum is exactly divisible by 5 , 6 , 4 , and 3 ?
Output: 4
Problem: find the greatest number which leaves the same remainder when it divides 16 , 46 and 82 .
Output: none of thes
Problem: evaluate : | 8 - 8 ( 3 - 12 ) | - | 5 - 11 | = ?
Output: 74
Problem: heinz produces tomato puree by boiling tomato juice . the tomato puree has only 20 % water while the tomato juice has 90 % water . how many liters of tomato puree will be obtained from 25 litres of tomato juice ?
Output: 3.125 liters .
Problem: triathlete dan runs along a 4 - mile stretch of river and then swims back along the same route . if dan runs at a rate of 10 miles per hour and swims at a rate of 6 miles per hour , what is his average rate for the entire trip in miles per minute ?
Output: 1 / 8
Problem: at a small company , 58 percent of the employees are women , and 60 percent of the employees are married . if 2 / 3 of the men are single , what fraction of the women are married ?
Output: 23 / 29
Problem: if a function f is defined by f ( x ) = - 1 / x for all non zero numbers x . if f ( a ) = - 1 / 3 and f ( ab ) = 1 / 6 then b = ?
Output: - 2
Problem: if 10 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days ?
Output: 360
Problem: a man can row a distance of 5 km in 60 min with the help of the tide . the direction of the tide reverses with the same speed . now he travels a further 20 km in 10 hours . how much time he would have saved if the direction of tide has not changed ?
Output: 6
Problem: a certain fraction is equivalent to 2 / 5 . if the numerator of the fraction is increased by 4 and the denominator is doubled , the new fraction is equivalent to 1 / 4 . what is the difference of the numerator and denominator of the original fraction ?
Output: 24
Problem: a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 15 % . their gross income from sales for one month increases by what percent ?
Output: 3.5 %
Problem: if a man lost 8 % by selling oranges at the rate of 25 a rupee at how many a rupee must he sell them to gain 25 % ?
Output: 18.4
Problem: how many positive integers less than 100 are there such that they are multiples of 13 or multiples of 12 but not both ?
Output: 15
Problem: a certain experimental mathematics program was tried out in 2 classes in each of 38 elementary schools and involved 44 teachers . each of the classes had 1 teacher and each of the teachers taught at least 1 , but not more than 3 , of the classes . if the number of teachers who taught 3 classes is n , then the least and greatest possible values of n , respectively , are
Output: 0 and 16
Problem: if y exceeds x by 20 % , then x is less than y by ?
Output: 16 2 / 3 %
Problem: express a speed of 90 kmph in meters per second ?
Output: 25 mp
Problem: together , 15 type a machines and 7 type b machines can complete a certain job in 4 hours . together 8 type b machines and 15 type c machines can complete the same job in 11 hours . how many w hours would it take one type a machine , one type b machine , and one type c machine working together to complete the job ( assuming constant rates for each machine ) ?
Output: 44 hours
Problem: the smallest value of n , for which n + 2 is not a prime number , is
Output: 2,4
Problem: a man traveled from the village to the post - office at the rate of 25 kmph and walked back at the rate of 4 kmph . if the whole journey took 5 hours 48 minutes , find the distance of the post - office from the village ?
Output: 20 km
Problem: a bag contains 21 toys numbered 1 to 21 . a toy is drawn and then another toy is drawn without replacement . find the probability that both toys will show even numbers .
Output: 9 / 42
Problem: trapezoid jklm in the x - y plane has coordinates j = ( – 2 , – 4 ) , k = ( – 2 , 1 ) , l = ( 6 , 7 ) , and m = ( 6 , – 4 ) . what is its perimeter ?
Output: 34
Problem: a tradesman by means of his false balance defrauds to the extent of 20 % ? in buying goods as well as by selling the goods . what percent does he gain on his outlay ? a . 20 % b . 45 %
Output: 44
Problem: a numberais squared and then multiplied by negative 3 . the result of this operation r is equal to 3 times the sum of 3 timesaand two . what is one possible value ofa ?
Output: - 2
Problem: a bag contains 10 red jellybeans and 10 blue jellybeans . if 3 jellybeans are removed one at a time , at random and are not replaced , what is the probability e that all 3 jellybeans removed from the bag are blue ?
Output: 2 / 19
Problem: a train 50 m long takes 6 sec to cross a man walking at 5 kmph in a direction opposite to that of the train . find the speed of the train ?
Output: 25 kmph
Problem: for any integer n greater than 1 , n * denotes the product of all the integers from 1 to n , inclusive . how many prime numbers are there between 6 * + 2 and 6 * + 6 , inclusive ?
Output: none
Problem: what is the area of an equilateral triangle whose one side length is 50 ?
Output: 625 √
Problem: on a certain day , orangeade was made by mixing a certain amount of orange juice with an equal amount of water . on the next day , orangeade was made by mixing the same amount of orange juice with 5 times the amount of water . on both days , all the orangeade that was made was sold . if the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $ 0.80 per glass on the first day , what was the price per glass on the second day ?
Output: $ 0.27
Problem: if 2 men or 3 women can reap a field in 10 days how long will 4 men and 5 women take to reap it ?
Output: 11 / 30
Problem: the average of 11 10 prime numbers which are odd is ?
Output: 17.72
Problem: the first doughnut is priced at $ 1 and then if you purchase additional doughnuts as dozens then the price is $ 6 / dozen . what is the total number of doughnuts purchased if you paid $ 25 ?
Output: 49
Problem: during the first two weeks of january , the total rainfall in springdale was 25 inches . if the rainfall during the second week was 1.5 times the rainfall during the first week , what was the rainfall during the second week of january ?
Output: 15 inche
Problem: a train crosses a bridge of length 200 m in 10 seconds and a lamp post on the bridge in 5 seconds . what is the length of the train in metres ?
Output: 200 m
Problem: 10 ^ ( 600 ) ã · 10 ^ ( 580 ) = ?
Output: 10 ^ 20
Problem: the l . c . m of two numbers is 2310 and their h . c . f is 30 . if one number is 385 the other is
Output: 180
Problem: if n is a positive integer and the product of all integers from 1 to n , inclusive , is a multiple of 440 , what is the least possible value of n ?
Output: 11
Problem: mary and mike enter into a partnership by investing $ 550 and $ 450 respectively . at the end of one year , they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business . if mary received $ 1000 more than mike did , what was the profit made by their business in that year ?
Output: $ 15000
Problem: a goods train runs at the speed of 72 kmph and crosses a 250 m long platform in 24 seconds . what is the length of the goods train ?
Output: 230 m