niryuu/sni-each-converted huggingface dataset:
Problem: a dishonest person wants to make a profit on the selling of milk . he would like to mix water ( costing nothing ) with milk costing 33 $ per litre so as to make a profit of 70 % on cost when he sells the resulting milk and water mixture for 36 $ . in what ratio should he mix the water and milk ?
Output: 67 : 120
Problem: the price of a book is increased from $ 300 to $ 390 . what is the % of increase in its price ?
Output: 30 %
Problem: a , b and c , each working alone can complete a job in 6 , 8 and 12 days respectively . if all three of them work together to complete a job and earn $ 1170 , what will be b ' s share of the earnings ?
Output: $ 390
Problem: 12 spheres of the same size are made from melting a solid cylinder of 8 cm diameter and 27 cm height . what is the diameter of each sphere ?
Output: 6 cm
Problem: what is the units digit of 32 ! + 50 ! + 4 ! + 4 ! ?
Problem: if jack walked 8 miles in 1 hour and 15 minutes , what was his rate of walking in miles per hour ?
Output: 6.4
Problem: a particular library has 75 books in a special collection , all of which were in the library at the beginning of the month . these book are occasionally loaned out through an inter - library program . if , by the end of the month , 80 percent of books that were loaned out are returned and there are 67 books in the special collection at that time , how many books of the special collection were loaned out during that month ?
Output: 40
Problem: if a farmer wants to plough a farm field on time , he must plough 120 hectares a day . for technical reasons he ploughed only 85 hectares a day , hence he had to plough 2 more days than he planned and he still has 40 hectares left . what is the area of the farm field and how many days the farmer planned to work initially ?
Output: 720
Problem: for each color copy , print shop x charges $ 1.20 and print shop y charges $ 1.70 . how much greater is the charge for 40 color copies at print shop y than at print shop x ?
Output: $ 20
Problem: in a school of 300 boys , 44 % of muslims , 28 % hindus , 10 % sikhs and the remaining of other communities . how many belonged to the other communities ?
Output: 54
Problem: a number x is 12 times another number y . the percentage that y is less than x is
Output: 91.6 %
Problem: a train 90 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?
Output: 5
Problem: the average age of a family of 5 members is 20 years . if the age of the youngest member be 10 years then what was the average age of the family at the time of the birth of the youngest member ?
Output: 12.5
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 five 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: how many unique positive odd integers less than 90 are equal to the product of a positive multiple of 5 and an odd number ?
Output: 9
Problem: if # is an operation which results in adding the digits of integer until a single digit is left , what is the probability that a number picked up in first 90 positive integers will have the result of # as an odd digit ? ( example 99 = 9 + 9 = 18 = 1 + 8 = 9 , so # = 9 )
Output: 5 /
Problem: operation # is defined as : a # b = 4 a ^ 2 + 4 b ^ 2 + 8 ab for all non - negative integers . what is the value of ( a + b ) + 6 , when a # b = 100 ?
Output: 11
Problem: jerry and michelle play a card game . in the beginning of the game they have an equal number of cards . each player , at her turn , gives the other a third of her cards . michelle plays first , giving jerry a third of her cards . jerry plays next , and michelle follows . then the game ends . jerry ended up with 14 more cards than michelle . how many cards did each player have originally ?
Output: 27
Problem: in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 50 liters and they are all empty , how much money total will it cost to fuel all cars ?
Output: 411
Problem: a circular swimming pool is surrounded by a concrete wall 4 feet wide . if the area of the wall is 11 / 25 of the area of the pool , then the radius of the pool in feet is ?
Output: 20', 'c ) 9', 'd ) 8', 'e ) 1'
Problem: the population of a town increases 25 % and 40 % respectively in two consecutive years . after the growth the present population of the town is 1750 . then what is the population of the town 2 years ago ?
Output: b ) 800
Problem: a truck travels 20 miles due north , 30 miles due east , and then 20 miles due north . how many miles is the truck from the starting point ?
Output: 50
Problem: find the area of a parallelogram with base 22 cm and height 14 cm ?
Output: 308 cm 2
Problem: the salary of a typist was at first raised by 10 % and then the same was reduced by 5 % . if he presently draws rs . 4180 . what was his original salary ?
Output: 4000
Problem: the sum of all the digits of the integers from 18 to 21 inclusive is 24 ( 1 + 8 + 1 + 9 + 2 + 0 + 2 + 1 = 24 ) . what is the sum t of all the digits of the integers from 0 to 99 inclusive ?
Output: 900
Problem: in δ pqs above , if pq = 2 and ps = 3 , then
Output: 3 / 2
Problem: the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 11000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is
Output: 14
Problem: a man whose speed is 8 kmph in still water rows to a certain upstream point and back to the starting point in a river which flows at 3 kmph , find his average speed for the total journey ?
Output: 6.8 kmp
Problem: of 30 applicants for a job , 9 had at least 4 years ' experience , 18 had degrees , and 3 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: 10
Problem: a fruit seller had some apples . he sells 50 % apples and still he has 5000 . originally he had how many apples ?
Output: 10000
Problem: in a new housing development , trees are to be planted along the sidewalk of a certain street . each tree takes up one square foot of sidewalk space , and there are to be 9 feet between each tree . how many trees can be planted if the road is 151 feet long ?
Output: 1
Problem: the slant height of a cone is 35 cm and radius of the base is 14 cm , find the curved surface of the cone .
Output: 1540', 'd ) 1500', 'e ) 6100'
Problem: if a ã — b = 2 a - 3 b + ab , then 3 ã — 2 + 2 ã — 3 is equal to :
Output: 7
Problem: a 20 % stock yielding 12 % is quoted at :
Output: rs . 167
Problem: if the length of the sides of two cubes are in the ratio 6 : 1 , what is the ratio of their total surface area ?
Output: 36 : 1
Problem: two trains travel in opposite directions at 36 kmph and 45 kmph and a man sitting in slower train passes the faster train in 12 seconds . the length of the faster train is
Output: 270 m
Problem: the ratio of number of boys and girls in a school is 2 : 5 . if there are 350 students in the school , find the number of girls in the school ?
Output: 250
Problem: if the perimeter of a rectangular garden is 1800 m , its length when its breadth is 400 m is ?
Output: 500
Problem: solve for x and check : - 3 x = 12
Output: - 4
Problem: sarah is driving to the airport . after driving at 15 miles per hour for one hour , she realizes that if she continues at that same average rate she will be an hour late for her flight . she then travels 60 miles per hour for the rest of the trip , and arrives 30 minutes before her flight departs . how many miles did she drive in all ?
Output: 45
Problem: on dividing a number by 48 , we get 29 as remainder . on dividing the same number by 8 , what will be the remainder ?
Output: 5
Problem: a shopkeeper sells 600 metres of cloth for rs . 18000 at a loss of rs . 5 per metre . find his cost price for one metre of cloth ?
Output: 35
Problem: obra drove 140 π meters along a circular track . if the area enclosed by the circular track on which she drove is 57,600 π square meters , what percentage of the circular track did obra drive ?
Output: 29.16 %
Problem: a certain number of men can finish a piece of work in 100 days . if there were 10 men less , it would take 10 days more for the work to be finished . how many men were there originally ?
Output: 110
Problem: find the cost of fencing around a circular field of diameter 16 m at the rate of rs . 3 a meter ?
Output: 150.84
Problem: a alone can do a piece of work in 6 days and b alone in 8 days . a and b undertook to do it for rs . 3200 . with the help of c , they completed the work in 3 days . how much is to be paid to c
Output: rs . 400
Problem: find the probability that a number selected from numbers 1 , 2 , 3 , . . . , 30 is a prime number , when each of the given numbers is equally likely to be selected ?
Output: 8 / 30
Problem: a worker can load one truck in 6 hours . a second worker can load the same truck in 4 hours . if both workers load one truck simultaneously while maintaining their constant rates , how long , in hours , will it take them to fill one truck ?
Output: 2.4
Problem: 40 persons like apple . 7 like orange and mango dislike apple . 10 like mango and apple and dislike orange . 3 like all . how many people like apple ?
Output: 46
Problem: in a group of cows and hens , the number of legs are 16 more than twice the number of heads . the number of cows is :
Output: 8
Problem: the distance between 2 cities a and b is 1000 km . a train starts from a at 10 a . m . and travels towards b at 100 km / hr . another starts from b at 11 a . m . and travels towards a at 150 km / hr . at what time do they meet ?
Output: 3 pm .
Problem: 3 candidates in an election and received 1256 , 7636 and 11628 votes respectively . what % of the total votes did the winning candidate gotin that election ?
Output: 56.7 %
Problem: the sum of two numbers is 16 and the sum of their squares is 113 . find the numbers .
Output: 7 and 8
Problem: the ratio of the radius of two circles is 1 : 3 , and then the ratio of their areas is ?
Output: 1 : 9
Problem: if the population of a certain country increases at the rate of one person every 45 seconds , by how many persons does the population increase in 1 hour ?
Output: 80
Problem: a cube has one of its faces painted half red and half white . the other faces are completely painted white . what is the ratio between the red painted areas and the white painted areas of the cube ?
Output: 1 : 11
Problem: what is the units digit of ( 3 ^ 13 ) ( 4 ^ 13 ) ?
Output: 2
Problem: bill made a profit of 10 % by selling a product . if he had purchased that product for 10 % less and sold it at a profit of 30 % , he would have received $ 63 more . what was his original selling price ?
Output: $ 990
Problem: one - third of 1206 is what percent of 162 ?
Output: 248.14
Problem: 1399 x 1399
Output: 1957201
Problem: on a certain road 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 50 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on the road exceed the posted speed limit ?
Output: 20
Problem: in a group of 7 boys and 8 girls , 5 members are to be selected . in how many different ways can they be selected such that at least 3 boys should be there ?
Output: 1281
Problem: the average marks of a class of 40 students is 44 and that of another class of 45 students is 70 . find the average marks of all the students ?
Output: 69.5
Problem: { - 10 , - 6 , - 5 , - 4 , - 2.5 , - 1 , 0 , 2.5 , 4 , 6 , 7 , 10 } a number is to be selected at random from the set above . what is the probability that the number selected will be a solution of the equation ( x + 5 ) ( x + 10 ) ( 2 x - 5 ) = 0 ?
Output: 1 / 4
Problem: a towel , when bleached , was found to have lost 20 % of its length and 10 % of its breadth . the percentage of decrease in area is
Output: 28 %
Problem: 5 / 8 of 3 / 10 of a number is greater than 4 / 9 of 1 / 4 of the same number by 55 . what is half of that number ?
Output: 36
Problem: the average of 10 numbers is calculated as 18 . it is discovered later on that while calculating the average , one number namely 36 was wrongly read as 26 . the correct average is ?
Output: c ) 19
Problem: the speed of a boat in still water in 42 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 44 minutes is :
Output: 34.5 km
Problem: what is the remainder when 1024 * 1047 * 1050 * 1053 is divided by 33 ?
Output: 3
Problem: the average of first 20 natural numbers is ?
Output: 10.5
Problem: by investing in 1623 % stock at 64 , one earns rs . 1500 . the investment made is
Output: rs . 5760
Problem: the sum of the squares of the first 15 positive integers ( 1 ^ 2 + 2 ^ 2 + 3 ^ 2 + . . . + 15 ^ 2 ) is equal to 1240 . what is the sum of the squares of the second 15 positive integers ( 16 ^ 2 + 17 ^ 2 + 18 ^ 2 + . . . + 30 ^ 2 ) ?
Output: 8215
Problem: in a department store prize box , 40 % of the notes give the winner a dreamy vacation ; the other notes are blank . what is the approximate probability that 3 out of 5 people that draw the notes one after the other , and immediately return their note into the box get a dreamy vacation ?
Output: 0.23
Problem: if the volume of the cube is 729 cm 3 , then the surface area of the cube will be
Output: 486 sq . cm', 'b ) 456 sq . cm', 'c ) 446 sq . cm', 'd ) 476 sq . cm', 'e ) none of these'
Problem: what is the rate percent when the simple interest on rs . 1600 amount to rs . 200 in 4 years ?
Output: 3.125 %
Problem: if the simple interest on a certain sum of money for 2 years is one – fifth of the sum , then the rate of interest per annum is
Output: 10 %
Problem: a , b , c , d , e , f , g , h sitting in a row what is the probability that a , b , c sitting together ?
Output: 3 / 28
Problem: there are 2 sections a and b in a class , consisting of 50 and 50 students respectively . if the average weight of section a is 60 kg and that of section b is 80 kg , find the average of the whole class ?
Output: 70 kg
Problem: in a school with 632 students , the average age of the boys is 12 years and that of the girls is 11 years . if the average age of the school is 11 years 9 months , then the number of girls in the school is
Output: 158
Problem: two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.15 km and 0.6 km respectively . the time taken by the slower train to cross the faster train in seconds is ?
Output: 42
Problem: sushil got thrice as many marks in english as in science . his total marks in english , science and maths are 152 . if the ratio of his marks in english and maths is 1 : 5 , find his marks in science ?
Output: 8
Problem: the salary of a person was reduced by 28 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?
Output: 38.9
Problem: the average height of 35 boys in a class was calculated as 183 cm . it has later found that the height of one of the boys in the class was wrongly written as 166 cm whereas his actual height was 106 cm . find the actual average height of the boys in the class ( round off your answer to two decimal places ?
Output: 181.29 cm
Problem: a is half good a work man as b and together they finish a job in 14 days . in how many days working alone b finish the job ?
Output: 21
Problem: each of the products produced yesterday was checked by worker x or worker y . 0.5 % of the products checked by worker x are defective and 0.8 % of the products checked by worker y are defective . if the total defective rate of all the products checked by worker x and worker y is 0.55 % , what fraction of the products was checked by worker y ?
Output: 1 / 6
Problem: a baseball card decreased in value 40 % in its first year and 10 % in its second year . what was the total percent decrease of the card ' s value over the two years ?
Output: 46 %
Problem: from a group of 3 boys and 3 girls , 4 children are to be randomly selected . what is the probability that equal numbers of boys and girls will be selected ?
Output: 3 / 5
Problem: 9 years ago i was 5 times as old as my eldest son . today i am 3 times his age . how old am i now ?
Output: 54
Problem: find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.70 a kg to produce a mixture worth rs . 6.30 a kg
Output: 2 : 3
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 4 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 quartered by water evaporation . at that time , what is the ratio of water to salt in the solution ?
Output: 9 : 16
Problem: initially , the men and women in a room were in the ratio of 4 : 5 . then , 2 men entered the room and 3 women left the room . then , the number of women doubled . now there are 14 men in the room . how many q women are currently in the room ?
Output: 24
Problem: a caterer ordered 125 ice - cream bars and 125 sundaes . if the total price was $ 225.00 and the price of each ice - cream bar was $ 0.60 , what was the price of each sundae ?
Output: $ 1.20
Problem: a and b invests rs . 3000 and rs . 5500 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: 9 : 1
Problem: if a lends rs . 3150 to b at 8 % per annum and b lends the same sum to c at 12.5 % per annum then the gain of b in a period of 2 years is ?
Output: 283.5
Problem: apple costs l rupees per kilogram for first 30 kgs and q rupees per kilogram for each additional kilogram . if the price of 33 kilograms is 663 and for 36 kgs of apples is 726 then the cost of first 10 kgs of apples is
Output: 200
Problem: 10 + 19
Output: 29
Problem: a and b started a business investing rs . 80,000 and rs 20,000 respectively . in what ratio the profit earned after 2 years be divided between a and b respectively ?
Output: 4 : 1
Problem: a rower can row 7 km / h in still water . when the river is running at 2 km / h , it takes the rower 1 hour to row to big rock and back . how many kilometers is it to big rock ?
Output: 3.21
Problem: the average of first 35 prime numbers is ?
Output: 14.54
Problem: a man , a woman and a boy can together complete a piece of work in 3 days . if a man alone can do it in 6 days and a women alone in 18 days , how long will a boy take to complete the work ?
Output: 9 days
Problem: the least number which should be added to 1789 so that the sum is exactly divisible by 5 , 6 , 4 and 3 is ?
Output: 11
Problem: i chose a number and divide it by 8 . then i subtracted 160 from the result and got 12 . what was the number i chose ?
Output: 1376
Problem: solve for x and check : - 12 x = 72
Output: - 6
Problem: a certain number of horses and an equal number of men are going somewhere . half of the owners are on their horses ' back while the remaining ones are walking along leading their horses . if the number of legs walking on the ground is 40 , how many horses are there ?
Output: 8
Problem: workers at a campaign office have 3000 fliers to send out . if they send out 1 / 5 of them in the morning and 1 / 4 of the remaining ones out during the afternoon , how many are left for the next day ?
Output: 1800
Problem: find the average of first 20 multiples of 7 ?
Output: 73.5
Problem: the diagonal of a rhombus are 70 m and 160 m . its area is :
Output: 5600
Problem: 50 % of a number is more than 40 % of 120 by 180 . find the number ?
Output: 456
Problem: sheela deposits rs . 5000 in bank savings account . if this is 20 % of her monthly income . what is her monthly income in ?
Output: 25000
Problem: there are 4 chess amateurs playing in villa ' s chess club tournament . if each chess amateur plays with exactly 4 other amateurs , what is the total number of chess games possible to be played in the tournament ?
Output: 8
Problem: a 24 ' ' x 24 ' ' square metal plate needs to be fixed by a carpenter on to a wooden board . the carpenter uses nails all along the edges of the square such that there are 25 nails on each side of the square . each nail is at the same distance from the neighboring nails . how many nails does the carpenter use ?
Output: 96', 'd ) 97', 'e ) 98'
Problem: the sum of the ages of 5 children born at the intervals of 3 year each is 50 year . what is the age of the eldest child ?
Output: 16 year
Problem: let the number which when multiplied by 15 is increased by 280 .
Output: 20
Problem: in a school with 5 classes , each class has 2 students less than the previous class . how many students are there in the largest class if the total number of students at school is 105 ?
Output: 25
Problem: at 15 : 00 there were 22 students in the computer lab . at 15 : 03 and every three minutes after that , 3 students entered the lab . if at 15 : 10 and every ten minutes after that 8 students left the lab , how many students were in the computer lab at 15 : 44 ?
Output: 3
Problem: 475.124 x 15.98 ÷ 8.001 + 33.33 = ?
Output: 983.578
Problem: 20 men can cut 30 trees in 4 hours . if 4 men leave the job , how many trees will be cut in 6 hours ?
Output: 36
Problem: 4 dices are thrown at the same time . what is the probability of getting only 2 dices showing the same face ?
Output: 5 / 9
Problem: mr . loyd wants to fence his square shaped land of 60 sqft each side . if a pole is laid every 12 ft how many poles do he need ?
Output: 20
Problem: the average of first six prime numbers greater than 20 is ?
Output: 3
Problem: a boat having a length 7 m and breadth 3 m is floating on a lake . the boat sinks by 1 cm when a man gets on it . the mass of the man is :
Output: 210 k
Problem: in the first 10 overs of a cricket game , the run rate was only 3.2 . what should be the run rate in the remaining 50 overs to reach the target of 282 runs ?
Output: 5
Problem: the toll t , in dollars , for a truck using a certain bridge is given by the formula t = 0.50 + 0.50 ( x − 2 ) , where x is the number of axles on the truck . what is the toll for an 18 - wheel truck that has 2 wheels on its front axle and 4 wheels on each of its other axles ?
Output: $ 2.00
Problem: if a : b : : 3 : 7 , then what is ( 5 a + 2 b ) : ( a - 2 b ) ?
Output: - 29 : 11
Problem: in a group of 100 people , 90 have an age of more 30 years , and the others have an age of less than 20 years . if a person is selected at random from this group , what is the probability the person ' s age is less than 20 ?
Output: 0.1
Problem: an article is bought for rs . 1200 and sold for rs . 800 , find the loss percent ?
Output: 33 %
Problem: how much is 80 % of 45 is greater than 4 / 5 of 25 ?
Output: 16
Problem: a small water pump would take 3 hours to fill an empty tank . a larger pump would take 3 / 4 hour to fill the same tank . how many hours would it take both pumps , working at their respective constant rates , to fill the empty tank if they began pumping at the same time ?
Output: 3 / 5
Problem: if p ( a ) = 5 / 7 and p ( b ) = 2 / 5 , find p ( a n b ) if a and b are independent events .
Output: 2 / 7
Problem: divide rs . 5500 among a , b and c so that a receives 1 / 3 as much as b and c together and b receives 1 / 5 as a and c together . a ' s share is ?
Output: 1375
Problem: in digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be ?
Output: 1000 cu . m
Problem: in traveling from a dormitory to a certain city , a student went 1 / 3 of the way by foot , 3 / 5 of the way by bus , and the remaining 2 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?
Output: 30
Problem: a factory produces 6500 toys per week . if the workers at this factory work 5 days a week and if these workers make the same number of toys everyday , how many toys are produced each day ?
Output: 1300 toys
Problem: a farmer spent $ 37 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 20 % discount off the full price , and spent the rest on goat feed , which he bought at full price . if the farmer had paid full price for both the chicken feed and the goat feed , what amount would he have spent on the chicken feed and goat feed combined ?
Output: $ 40.7
Problem: the charge for a single room at hotel p is 20 percent less than the charge for a single room at hotel r and 10 percent less than the charge for a single room at hotel g . the charge for a single room at hotel r is what percent greater than the charge for a single room at hotel g ?
Output: 12.5 %
Problem: the ratio of the volumes of two cubes is 729 : 125 . what is the ratio of their total surface areas ?
Output: 81 : 25
Problem: how many multiples of 10 are there between 10 and 290 ?
Output: 27
Problem: what is the remainder when 1041 * 1047 * 1050 * 1053 is divided by 33 ?
Output: 21
Problem: if the average ( arithmetic mean ) of a and b is 110 , and the average of b and c is 170 , what is the value of a − c ?
Output: − 120
Problem: line m lies in the xy - plane . the y - intercept of line m is - 2 , and line m passes through the midpoint of the line segment whose endpoints are ( 2 , 8 ) and ( 144 ) . what is the slope of line m ?
Output: 1
Problem: the average weight of a , b and c is 60 kg . if the average weight of a and b be 70 kg and that of b and c be 50 kg , then the weight of b is :
Output: 60 kg
Problem: length of a rectangular plot is 22 mtr more than its breadth . if the cost of fencin gthe plot at 26.50 per meter is rs . 5300 , what is the length of the plot in mtr ?
Output: 61 m
Problem: a reduction of 20 % in the price of oil enables a house wife to obtain 4 kgs more for rs . 600 , what is the reduced price for kg ?
Output: 30
Problem: after spending rs . 5000 on rent , rs . 1500 on milk , rs . 4500 on groceries , rs . 2500 on childrens education rs . 2000 on petrol and rs . 2500 on miscellaneous expenses , mr . kishore saved 10 % of his monthly salary . how much did he save in rs . ?
Output: 2000
Problem: jim drove 384 miles of a 1200 miles journey . how many more miles does he need to drive to finish his journey ?
Output: 816 miles
Problem: find the product of the local value and absolute value of 4 in 564823
Output: 16000
Problem: the banker â € ™ s gain on a sum due 3 years hence at 10 % per annum is rs . 60 . the banker â € ™ s discount is
Output: rs . 26
Problem: robert ' s salary was decreased by 70 % and subsequently increased by 70 % . how much percentage does he lose ?
Output: 49
Problem: a train covers a distance of 54 km in 15 min . if it takes 8 sec to pass a telegraph post , then the length of the train is ?
Output: 480
Problem: the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30 . what is the original number e ?
Output: 80
Problem: what is the remainder when you divide 2 ^ 200 - 3 by 7 ?
Output: 1
Problem: the ratio of three numbers is 2 : 3 : 4 and their sum is 180 . the second number of the three numbers is ?
Output: 60
Problem: if ( log 5 5 ) ( log 4 9 ) ( log 3 2 ) is equal to
Output: 1
Problem: the total marks obtained by a student in mathematics and physics is 32 and his score in chemistry is 20 marks more than that in physics . find the average marks scored in mathamatics and chemistry together .
Output: 26
Problem: in the rectangular coordinate system , if the line x = 4 y + 5 passes through points ( m , n ) and ( m + 2 , n + p ) , what is the value of p ?
Output: 1 / 2
Problem: the average weight of 4 students decreases by 8 kg when one of them weighing 96 kg is replaced by a new student . the weight of the student is
Output: 64 kg
Problem: if 4 men working 10 hours a day earn rs . 800 per week , then 9 men working 6 hours a day will earn how much per week ?
Output: rs 1080
Problem: in a rectangular coordinate system , what is the area of a rhombus whose vertices have the coordinates ( 0 , 4.5 ) , ( 8 , 0 ) , ( 0 , - 4.5 ) , ( - 8 , 0 ) ?
Output: 72
Problem: a theater box office sold an average ( arithmetic mean ) of 63 tickets per staff member to a particular movie . among the daytime staff , the average number sold per member was 78 , and among the evening staff , the average number sold was 60 . if there are no other employees , what was the ratio of the number of daytime staff members to the number of evening staff members ?
Output: 1 : 5
Problem: pipe a fills a swimming pool in 4 hours . pipe b empties the pool in 6 hours . if pipe a was opened at 9 : 00 am and pipe b at 10 : 00 am , at what time will the pool be full ?
Output: 19 : 00
Problem: a train running at the speed of 100 km / hr crosses a pole in 9 sec . what is the length of the train ?
Output: 250 m
Problem: an engineer designed a ball so that when it was dropped , it rose with each bounce exactly one - half as high as it had fallen . the engineer dropped the ball from a 16 - meter platform and caught it after it had traveled 45 meters . how many times did the ball bounce ?
Output: 4
Problem: average between 2 sets of numbers is closer to the set with more no ' s ?
Output: 80
Problem: a merchant marks his goods up by 30 % and then offers a discount of 10 % on the marked price . what % profit does the merchant make after the discount ?
Output: 17 %
Problem: elvin ' s monthly telephone bill is the sum of the charge for the calls he made during the month and a fixed monthly charge for internet service . elvin ' s total telephone bill for january was $ 46 and elvin ' s total telephone bill for february was 76 $ . if elvin ' s charge for the calls he made in february was twice the charge for the calls he made in january , what is elvin ' s fixed monthly charge for internet service ?
Output: $ 16
Problem: maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 70 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h , what is the distance traveled by brad ?
Output: 42
Problem: if a , b and c together can finish a piece of work in 4 days . a alone in 12 days and b in 18 days , then c alone can do it in ?
Output: 9 days
Problem: machine a and machine b are each used to manufacture 440 sprockets . it takes machine a 10 hours longer to produce 440 sprockets than machine b . machine b produces 10 % more sprockets per hour than machine a . how many sprockets per hour does machineaproduce ?
Output: 4.4
Problem: on a certain day , tim invested $ 600 at 10 percent annual interest , compounded annually , and lana invested 800 at 5 percent annual interest , compounded annually . the total amount of interest earned by tim ’ s investment in the first 2 years was how much greater than the total amount of interest earned by lana ’ s investment in the first 2 years ?
Output: $ 44
Problem: if y is the smallest positive integer such that 630 multiplied by y is the square of an integer , then y must be
Output: 70
Problem: today mary ’ s father is 4 times as old as mary . 3 years ago , he was 5 times as old . how old is mary today ?
Output: 12
Problem: a horse is tethered to one corner of a rectangular grassy field 42 m by 26 m with a rope 16 m long . over how much area of the field can it graze ?
Output: 201 m 2
Problem: in the xy - coordinate system , if ( m , n ) and ( m + 2 , n + k ) are two points on the line perpendicular to x = 2 y + 5 , then k = ?
Output: - 4
Problem: a batsman in his 17 th innings makes a score of 85 and their by increasing his average by 3 . what is his average after the 17 thinnings ?
Output: 37
Problem: the average ( arithmetic mean ) of 4 different integers is 76 . if the largest integer is 90 , what is the least possible value of the smallest integer ?
Output: 3
Problem: a certain elevator has a safe weight limit of 2,000 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 200 pounds and the average weight of the others being 230 pounds ?
Output: 9
Problem: the average salary of all the workers in a workshop is $ 8000 . the average salary of 7 technicians is $ 12000 and the average salary of the rest is $ 6000 . the total number of workers in the shop is ?
Output: 21
Problem: a farmer grows broccoli in his farm that is in the shape of a square . each broccoli takes 1 square foot of area in his garden . this year , he has increased his output by 101 broccoli when compared to last year . the shape of the area used for growing the broccoli has remained a square in both these years . how many broccoli did he produce this year ?
Output: 2601', 'c ) 1987', 'd ) 2000', 'e ) can not be determined'
Problem: two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively and they cross each other in 23 seconds . the ratio of their speeds i
Output: 3 : 2
Problem: a person can swim in still water at 10 km / h . if the speed of water 8 km / h , how many hours will the man take to swim back against the current for 16 km ?
Output: 8
Problem: 90 students represent x percent of the boys at jones elementary school . if the boys at jones elementary make up 60 % of the total school population of x students , what is x ?
Output: 122
Problem: maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 65 kilometers , maxwell ' s walking speed is 2 km / h , and brad ' s running speed is 3 km / h . what is the distance traveled by maxwell when they meet in the middle ?
Output: 2
Problem: what is the smallest integer that is multiple of 5 , 7,9
Output: b ) 315
Problem: the odds in favour of an events are 3 : 5 . the probability of occurrence of the event is
Output: 3 / 8
Problem: if john makes a contribution to a charity fund at school , the average contribution size will increase by 50 % reaching $ 75 per person . if there were 3 other contributions made before john ' s , what is the size of his donation ?
Output: $ 150
Problem: in a class of 40 students 26 play football and play 20 long tennis , if 17 play above , many play neither ?
Output: 11
Problem: seller selling an apple for rs . 18 , a seller loses 1 / 6 th of what it costs him . the cp of the apple is ?
Output: 19
Problem: if n is a positive integer and the product of all the integers from 1 to n , inclusive , is a multiple of 8 , what is the least possible value of n ?
Output: 4
Problem: 1.5 , 2.5 , 4.5 , 7.5 , 11.5 , ( . . . . )
Output: 16.5
Problem: a train covers a distance of 12 km in 10 minutes . if it takes 4 seconds to pass a telegraph post , then the length of the train is
Output: 80 m
Problem: what positive number , when squared , is equal to the cube of the positive square root of 14 ?
Output: 4
Problem: a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 250 per month . what is his monthly salary ?
Output: 6250
Problem: if 15 students in a class average 75 % on an exam and 10 students average 90 % on the same exam , what is the average in percent for all 25 students ?
Output: 81 %
Problem: in a 100 m race a beats b by 25 m b beats c by 4 then a beats c by
Output: 28
Problem: for each of her sales , a saleswoman receives a commission equal to 20 percent of the first $ 500 of the total amount of the sale , plus 50 percent of the total amount in excess of $ 500 . if the total amount of one of her sales was $ 800 , the saleswoman ’ s commission was approximately what percent of the total amount of the sale ?
Output: 31
Problem: the number of singles that a baseball player hit increased 10 percent from her first season to her second season , and the number of doubles that she hit in the same time period decreased by 1 percent . if the total number of singles and doubles that she hit increased 3 percent from her first season to her second season , what is the ratio of the number of singles she hit in her first season to the number of doubles she hit in her first season ?
Output: 4 : 7
Problem: a man swims downstream 60 km and upstream 100 km taking 10 hours each time , what is the speed of the man in still water ?
Output: 8
Problem: a light flashes every 30 seconds , how many times will it flash in ? of an hour ?
Output: 12
Problem: the difference between the place values of two sixes in the numerical 81369206 is
Output: 59994
Problem: if the area of a circle is 81 pi square feet , find its circumference .
Output: 18
Problem: tourist purchased a total of 30 travelers checks in $ 50 and $ 100 denominations . the total worth of the travelers checks is $ 1800 . how many checks of $ 50 denominations can he spend so that average amount ( arithmetic mean ) of the remaining travelers checks is $ 100 ?
Output: 2
Problem: at an election 2 candidates are participated and a candidate got 20 % of votes and defeated by 500 . and 10 votes are invalid . find the total polled votes ?
Output: 843
Problem: a cat chases a rat 6 hours after the rat runs . cat takes 4 hours to reach the rat . if the average speed of the cat is 90 kmph , what s the average speed of the rat ?
Output: 36 kmph
Problem: average of 5 consecutive even numbers is 35 . find the greatest number in these 5 numbers ?
Output: 39
Problem: a wall photo 2 inches wide is placed around a rectangular paper with dimensions 8 inches by 12 inches . what is the area of the wall photo , in square inches ?
Output: 96', 'b ) 86', 'c ) 108', 'd ) 144', 'e ) 118'
Problem: the perimeter of a triangle is 36 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle
Output: b ) 45
Problem: john found that the average of 15 no . ' s is 40 . if 10 is added to each number then the mean of number is ?
Output: 50
Problem: a car salesman earns a base salary of $ 1000 per month plus a commission of $ 200 for each car he sells . if the car salesman earned $ 2000 in march , how many cars does he need to sell in april in order to double his march earnings ?
Output: 15
Problem: barbata invests $ 2200 in the national bank at 5 % . how much additional money must she invest at 8 % so that the total annual income will be equal to 6 % of her entire investment ?
Output: 1100
Problem: 24 lbs of coffee p and 25 lbs of coffee v are mixed to make coffee x and y . the ratio of p to v in coffee x is 4 to 1 , in y is 1 to 5 . how much of p is contained in the mixture x ?
Output: 20
Problem: the average of 10 numbers is 0 . in those 10 , at the least , how many may be greater than or equal to zero ?
Output: 1
Problem: a movie buff buys movies on dvd and on blu - ray in a ratio of 13 : 4 . if she returns 2 blu - ray movies , that ratio would change to 7 : 2 . if she buys movies on no other medium , what was the original number of movies purchased ?
Output: 11
Problem: arjun started a business with rs . 20,000 and is joined afterwards by anoop with rs . 80 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ?
Output: 9
Problem: if x + y = 260 , x - y = 200 , for integers of x and y , y = ?
Output: 230
Problem: a man can row 24 kmph in still water . it takes him thrice as long to row up as to row down the river . find the rate of the stream ?
Output: 12
Problem: a bookseller sells his books at a 20 % markup in price . if he sells a book for $ 36.00 , how much did he pay for it ?
Output: $ 30.00
Problem: the hcf of two numbers is 42 and the other two factors of their lcm are 10 and 20 . what is the largest number .
Output: 840
Problem: suraj has a certain average of runs for 16 innings . in the 17 th innings he scores 92 runs thereby increasing his average by 4 runs . what is his average after the 17 th innings ?
Output: 28
Problem: the wages earned by robin is 38 % more than that earned by erica . the wages earned by charles is 60 % more than that earned by erica . how much % is the wages earned by charles more than that earned by robin ?
Output: 27.53 %
Problem: a dog have birth to 12 puppies , 2 female and 10 male . what is the ratio of the female puppies to the male ?
Output: 1 / 5
Problem: a box contains 6 black , 8 red and 4 green marbles . 2 marbles are drawn from the box at random . what is the probability that both the marbles are of the same color ?
Output: 49 / 153
Problem: if x / 2 = y / 5 = z / 6 , then ( x + y + z ) / x is equal to :
Output: 13 / 2
Problem: a man has some hens and cows . if the number of heads be 48 and the number of feet equals 136 , then the number of hens will be
Output: 2
Problem: a train covers a distance of 100 km in 1 hour . if its speed is decreased by 12 km / hr , the time taken by the car to cover the same distance will be ?
Output: 1 hr 8 min
Problem: the average of 25 results is 20 . the average of first 12 of those is 14 and the average of last 12 is 17 . what is the 13 th result ?
Output: 128
Problem: if d is the smallest positive integer such that 3,150 multiplied by d is the square of an integer , then d must be
Output: 14'
Problem: x and y started a business by investing rs . 36000 and rs . 42000 respectively after 4 months z joined in the business with an investment of rs . 48000 , then find share of z in the profit of rs . 14190 ?
Output: 4128
Problem: there are 250 doctors and nurses at a hospital . if the ratio of doctors to nurses is 2 to 3 , how many nurses are at the hospital ?
Output: 15
Problem: in an examination , 300 students appeared . out of these students ; 26 % got first division , 54 % got second division and the remaining just passed . assuming that no student failed ; find the number of students who just passed .
Output: 60
Problem: on a certain transatlantic crossing , 30 percent of a ship ' s passengers held round - trip tickets and also took their cars abroad the ship . if 60 percent of the passengers with round - trip tickets did not take their cars abroad the ship , what percent of the ship ' s passengers held round - trip tickets ?
Output: 75
Problem: p and q invested in a shop . the profits were divided in the ratio of 4 : 6 respectively . if p invested rs . 55,000 , the amount invested by q is :
Output: non
Problem: evaluate ( 12 + 22 + 32 + . . . + 102 )
Output: 385
Problem: divide rs . 32000 in the ratio 3 : 3 ?
Output: 16000
Problem: find value for x from below equation ? x + 1 = - 4
Output: - 5
Problem: what is the remainder when 1201 × 1202 × 1204 × 1205 is divided by 6 ?
Output: 4
Problem: students at a school were on average 180 cm tall . the average female height was 170 cm , and the average male height was 184 cms . what was the ratio d of men to women ?
Output: 5 : 2
Problem: at what rate of compound interest per annum will a sum of $ 1200 becomes 1348.32 in 2 years ?
Output: 6 %
Problem: the average weight of a group of boys is 30 kg . after a boy of weight 45 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ?
Output: 14
Problem: the food in a camp lasts for 10 men for 50 days . if 10 more men join , how many days will the food last ?
Output: 25 days
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 6 miles per day and it will take them two days , how many miles long is the route down the mountain ?
Output: 18
Problem: if a ^ 2 + b ^ 2 = 15 and ab = 25 , what is the value of the expression ( a - b ) ^ 2 + ( a + b ) ^ 2 ?
Output: 5
Problem: equal amount of water were poured into two empty jars of different capacities , which made one jar 1 / 3 full and other jar 1 / 2 full . if the water in the jar with lesser capacity is then poured into the jar with greater capacity , what fraction of the larger jar will be filled with water ?
Output: 2 / 3
Problem: a certain candy manufacturer reduced the weight of candy bar m by 5 percent buy left the price unchanged . what was the resulting percent increase in the price per ounce of candy bar m ?
Output: 5.2
Problem: if | x - 9 | = 3 x , then x = ?
Output: - 4.
Problem: mary ' s income is 60 percent more than tim ' s income , and tim ' s income is 60 percent less than juan ' s income . what percent of juan ' s income is mary ' s income ?
Output: 64 %
Problem: 12 . what is the dividend . divisor 17 , the quotient is 9 and the remainder is 7 .
Output: 16
Problem: if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs 1920 less than the principal . what was the principal ?
Output: 240
Problem: the diagonals of a rhombus are 15 cm and 20 cm . find its area ?
Output: 150
Problem: how many different positive integers exist between 10 ^ 3 and 10 ^ 4 , the sum of whose digits is equal to 2 ?
Output: 4
Problem: if 1 / ( x + 4 ) + 1 / ( x - 4 ) = 1 / ( x - 4 ) , what is the value of x ?
Output: 4
Problem: 8 : 18 : : 24 : ?
Output: 38
Problem: in n is a positive integer less than 200 , and 2 n / 108 is an integer , then n has how many different positive prime factors ?
Output: 3
Problem: what percent is 100 gm of 1 kg ?
Output: 10 %
Problem: the average of 9 observations was 8 , that of the 1 st of 5 being 10 and that of the last 5 being 8 . what was the 5 th observation ?
Output: 18
Problem: sophia finished 2 / 3 of a book . she calculated that she finished 30 more pages than she has yet to read . how long is her book ?
Output: a ) 90
Problem: in a recent election , geoff received 0.5 percent of the 6,000 votes cast . to win the election , a candidate needed to receive more than x % of the vote . if geoff needed exactly 3,571 more votes to win the election , what is the value of x ?
Output: 60
Problem: which expression is the greatest ?
Output: 3591 / 3596
Problem: the end of a blade on an airplane propeller is 10 feet from the center . if the propeller spins at the rate of 1,320 revolutions per second , how many miles will the tip of the blade travel in one minute ? ( 1 mile = 5,280 feet )
Output: 300 π
Problem: if there are 200 questions in a 3 hr examination . among these questions are 100 type a problems , which requires twice as much as time be spent than the rest of the type b problems . how many minutes should be spent on type a problems ?
Output: 120 mi
Problem: a and b are 90 km apart they start to move each other simultaneously a at speed 10 and b at 5 km / hr if every hour they double their speed what is distance that a pass until he meet b ?
Output: 60 km
Problem: a card board of size 34 * 14 has to be attached to a wooden box and a total of 35 pins are to be used on the each side of the card box . find the total number of pins used .
Output: 136
Problem: a cistern can be filled by a tap in 2 hours while it can be emptied by another tap in 4 hours . if both the taps are opened simultaneously then after how much time will the cistern get filled ?
Output: 4 h
Problem: evaluate combination 98 c 96 = 98 ! / ( 96 ) ! ( 2 ) !
Output: 4753
Problem: a ranch has both horses and ponies . exactly 3 / 10 of the ponies have horseshoes , and exactly 5 / 8 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: 164
Problem: there are 5 chess amateurs playing in villa ' s chess club tournament . if each chess amateur plays with exactly 8 other amateurs , what is the total number of chess games possible to be played in the tournament ?
Output: 20
Problem: the speed of a train is 90 kmph . what is the distance covered by it in 12 minutes ?
Output: 18
Problem: in a chess competition involving some men and women , every player needs to play exactly one game with every other player . it was found that in 45 games , both the players were women and in 190 games , both players were men . what is the number of games in which one person was a man and other person was a woman ?
Output: 200
Problem: 11 is subtracted from 40 % of a number and results is 23 . what is the number ?
Output: 85
Problem: 0.1 + 0.1 ^ 2 + 0.1 ^ 3 =
Output: 0.111