niryuu/sni-each-converted huggingface dataset:
Problem: an article is bought for rs . 675 and sold for rs . 900 , find the gain percent ?
Output: 33 1 / 3 %
Problem: in a garment industry , 12 men working 8 hours per day complete a piece of work in 10 days . to complete the same work in 8 days , working 15 hours a day , the number of men required is :
Output: 8
Problem: what is the maximum number of pieces of birthday cake of size 4 ” by 4 ” that can be cut from a cake 20 ” by 20 ” ?
Output: 2
Problem: the present worth of rs . 845 due in 2 years at 4 % per annum compound interest is
Output: rs . 781.25
Problem: on the first of the year , james invested x dollars at proudstar bank in an account that yields 4 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ?
Output: 16.25 %
Problem: if a store owner increases a product ’ s price by 20 percent and then increases this price by another 15 percent , what percent of the original price is the total price increase ?
Output: 38 %
Problem: if 5 students are made to sit in a row , then 6 do n ' t have seats . if 12 students are made to sit in a row , then 3 rows are empty . how many students have to sit a row such that each row has equal number of students and all students are seated ?
Problem: a pupil ' s marks were wrongly entered as 85 instead of 33 . due to that the average marks for the class got increased by half . the number of pupils in the class is :
Output: 104
Problem: if the ratio of two number is 6 : 7 and lcm of the number is 450 then what is the number .
Output: 11
Problem: a person travels equal distances with speeds of 3 km / hr , 4 km / hr and 5 km / hr and takes a total time of 54 minutes . the total distance is ?
Output: 3.4 km
Problem: jim is able to sell a hand - carved statue for $ 620 which was a 25 % profit over his cost . how much did the statue originally cost him ?
Output: $ 496.00
Problem: praveen starts business with rs . 3780 and after 5 months , hari joins with praveen as his partner . after a year , the profit is divided in the ratio 2 : 3 . what is hari ’ s contribution in the capital ?
Output: s . 9720
Problem: find the greatest number that will divide 48 , 210 and 136 leaving 4 , 12 and 4 as remainders respectively
Output: 22
Problem: a student has to obtain 33 % of the total marks to pass . he got 125 marks and failed by 40 marks . the maximum marks are ?
Output: 500
Problem: the telephone company wants to add an area code composed of 2 letters to every phone number . in order to do so , the company chose a special sign language containing 524 different signs . if the company used 522 of the signs fully and two remained unused , how many additional area codes can be created if the company uses all 524 signs ?
Output: 2092
Problem: a case contains c cartons . each carton contains b boxes , and each box contains 200 paper clips . how many paper clips are contained in 2 cases ?
Output: 400 bc
Problem: what is the value of x ^ 2 yz − xyz ^ 2 , if x = − 2 , y = 1 , and z = 1 ?
Output: 6
Problem: 2.205 divided by 0.3 gives
Output: 7.35
Problem: having received his weekly allowance , john spent 3 / 5 of his allowance at the arcade . the next day he spent one third of his remaining allowance at the toy store , and then spent his last $ 0.88 at the candy store . what is john ’ s weekly allowance ?
Output: $ 3.30
Problem: a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds . if the typical dosage is 4 cubic centimeters per 15 pounds of the body weight , by what percent was the prescribed dosage lesser than the typical dosage ?
Output: - 87.5
Problem: calculate how much time could be saved if the train would run at its usual speed , given that it ran at 2 / 3 of its own speed and got to its destination in 20 hours ?
Output: 8.67 hrs
Problem: exactly 3 / 7 of the people in the room are under the age of 21 , and exactly 5 / 10 of the people in the room are over the age of 65 . if the total number of the people in the room is greater than 50 and less than 100 , how many people in the room are under the age of 21 ?
Output: 30
Problem: a 5 - digit number is formed by the digits 2 , 45 , 68 ( each digit used exactly once ) . what is the probability that the number formed is divisible by 4 ?
Output: 2 / 5
Problem: if x is 20 percent more than y and y is 60 percent less than z , then x is what percent of z ?
Output: 48 %
Problem: the area of one square is x ^ 2 + 4 x + 4 and the area of another square is 4 x ^ 2 − 12 x + 9 . if the sum of the perimeters of both squares is 32 , what is the value of x ?
Problem: from mumbai railway station , two trains a and b start simultaneously from stations 400 miles apart , and travel the same route toward each other on adjacent parallel tracks . if train a and train b travel at a constant rate of 40 miles per hour and 40 miles per hour , respectively , how many miles will train a have traveled when the trains pass each other , to the nearest mile ?
Output: 18
Problem: a batsman scored 80 runs which included 2 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets ?
Output: 75 %
Problem: a certain car can travel 20 minutes on a gallon of gasoline at 60 miles per hour . if the car had started with a full tank and had 8 gallons of gasoline left in its tank at the end , then what percent of the tank was used to travel 80 miles at 60 mph ?
Output: 16.67 %
Problem: there is a church tower 150 feet tall and another catholic tower at a distance of 350 feet from it which is 200 feet tall . there is one each bird sitting on top of both the towers . they fly at a constant speed and time to reach a grain in b / w the towers at the same time . at what distance from the church is the grain ?
Output: 150 meters
Problem: for 1 rs 4 p interest wat will be for 5000 rs ?
Output: 200 rs
Problem: a train running at the speed of 60 km / hr crosses a pole in 15 seconds . find the length of the train .
Output: 250
Problem: a sum was put at simple interest at a certain rate for 10 years . had it been put at 5 % higher rate , it would have fetched rs . 600 more . what was the sum ?
Output: rs . 1200
Problem: a shop owner sells 60 mtr of cloth and gains sp of 10 mtrs . find the gain % ?
Output: 20 %
Problem: a no . when divided by 221 gives a remainder 43 , what remainder will beobtained by dividingthe same no . 17 ?
Output: 9
Problem: in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 4 : 7 : 9 . if the shop carries 364 dogs and bunnies total in stock , how many dogs are there ?
Output: 112
Problem: albert invested rs . 6500 in a scheme for 2 years at compound interest rate 6.5 % p . a . how much amount will albert get on maturity of the fixed deposit ?
Output: s . 7372.4
Problem: keats library purchases a number of new books , all in the category of biography , and the library does not acquire any other books . with the addition of the new biographies , the biography collection of the library amounts to 30 % of the total number of books in the library . if prior to the purchase , only 20 % of the books in keats library were biographies , by what percent has the number of biographies in the library increased ?
Output: 71 %
Problem: if the average ( arithmetic mean ) of the 4 numbers 3 , 16 , 33 , and ( n + 1 ) is 20 , then n =
Output: 27
Problem: the mean of 50 observations is 200 . but later he found that there is decrements of 6 from each observations . what is the the updated mean is ?
Output: 19
Problem: country c imposes a two - tiered tax on imported cars : the first tier imposes a tax of 12 % of the car ' s price up to a certain price level . if the car ' s price is higher than the first tier ' s level , the tax on the portion of the price that exceeds this value is 8 % . if ron imported a $ 14,000 imported car and ended up paying $ 1440 in taxes , what is the first tier ' s price level ?
Output: $ 800
Problem: a sum fetched a total simple interest of rs . 144 at the rate of 15 p . c . p . a . in 1 year 6 months . what is the sum ?
Output: 640
Problem: the ` ` racing magic ' ' takes 120 seconds to circle the racing track once . the ` ` charging bull ' ' makes 40 rounds of the track in an hour . if they left the starting point together , how many minutes will it take for them to meet at the starting point for the second time ?
Output: 12
Problem: find the constant k so that : - x 2 - ( k + 10 ) x - 8 = - ( x - 2 ) ( x - 4 )
Output: 16
Problem: 102 ã — 102 + 98 ã — 98 = ?
Output: 2000
Problem: two trains 140 m and 190 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time which they take to cross each other is ?
Output: 11.88 sec
Problem: mary works in a restaurant a maximum of 70 hours . for the first 20 hours , she is paid $ 8 per hour . for each overtime hour , she is paid at a rate which is 25 % higher than her regular rate . how much mary can earn in a week ?
Output: 660
Problem: the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 4 per metre approximately
Output: 5943
Problem: 49 × 49 × 49 × 49 = 7 ?
Output: 8
Problem: 30 pens and 75 pencils were purchased for 750 . if the average price of a pencil was 2.00 , find the average price of a pen .
Output: 20
Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 16 and 17 . the larger of the two numbers is :
Output: 39
Problem: to fill a tank , 25 buckets of water is required . how many buckets of water will be required to fill the same tank if the capacity of bucket is reduced to two - fifth of its present ?
Output: 62.5
Problem: the visitors of a modern art museum who watched a certain picasso painting were asked to fill in a short questionnaire indicating whether they had enjoyed looking at the picture and whether they felt they had understood it . according to the results of the survey , all 110 visitors who did not enjoy the painting also did not feel they had understood the painting , and the number of visitors who enjoyed the painting was equal to the number of visitors who felt they had understood the painting . if 3 / 4 of the visitors who answered the questionnaire both enjoyed the painting and felt they had understood the painting , then how many visitors answered the questionnaire ?
Output: 44
Problem: a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area r covered by the two roads ?
Output: 1575
Problem: a and b can together finish a work in 40 days . they worked together for 10 days and then b left . after another 21 days , a finished the remaining work . in how many days a alone can finish the job ?
Output: 2
Problem: how many integers are between 6 and 74 / 5 , inclusive ?
Problem: what is the smallest positive integer x such that 180 - x is the cube of a positive integer
Output: 55
Problem: what will be the cost of building to paint which area equal to 196 sq ft , if the price per foot of building is rs . 15 ?
Output: 840'
Problem: in the youth summer village there are 175 people , 100 of them are not working , 75 of them have families and 125 of them like to sing in the shower . what is the largest possible number of people in the village , which are working , that do n ' t have families and that are singing in the shower ?
Output: 75
Problem: if it takes a tub 3 minutes to drain 6 / 7 of its content , how much more time will it take for the tub to be empty ?
Output: 30 seconds
Problem: exactly 3 sides of a certain 10 - sided die are red . what is the probability that kumar rolls the die 3 times and the die lands with a red side up for the first time on the third roll ?
Output: 0.147
Problem: the average runs scored by a batsman in 25 matches is 45 . in the next 7 matches the batsman scored an average of 15 runs . find his average in all the 32 matches ?
Output: 38.44
Problem: carl is facing very difficult financial times and can only pay the interest on a $ 10,000 loan he has taken . the bank charges him a quarterly compound rate of 4 % . what is the approximate interest he pays annually ?
Output: $ 1750
Problem: jack and jill work at a hospital with 7 other workers . for an internal review , 2 of the 9 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?
Output: 1 / 3
Problem: a student has to obtain 50 % of the total marks to pass . he got 200 marks and failed by 20 marks . the maximum marks are ?
Output: 44
Problem: the cost of 3 pens and 5 pencils is rs . 150 . also the cost of one pen and one pencil is in the ratio of 5 : 1 respectively . what is the cost of one dozen pens ?
Output: rs . 450
Problem: car dealership x , the total profit from sales increased by 8 percent over the previous years , while the number of cars sold decreased by 8 percent over the previous years . approximately what was the average percent increase in profit per car over the previous year .
Output: 17.39 %
Problem: the product z of two prime numbers is between 16 and 40 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 12 but less than 30 then what is z ?
Output: 3
Problem: if 4 people are selected from a group of 8 married couples , what is the probability that none of them would be married to each other ?
Output: 8 / 13
Problem: the tax on a commodity is diminished by 20 % but its consumption is increased by 10 % . find the decrease percent in the revenue derived from it ?
Output: 12 %
Problem: a store sells chairs and tables . if the price of 2 chairs and 1 table is 60 % of the price of 1 chair and 2 tables , and the price of 1 table and 1 chair is $ 72 , what is the price , in dollars , of 1 table ? ( assume that every chair has the same price and every table has the same price . )
Output: 63
Problem: a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80 % of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 25 % , what is the total capacity of the pool in gallons ?
Output: 1875
Problem: at 3 : 40 , the hour hand and the minute hand of a clock form an angle of
Output: 130 °
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 20 litres of tomato juice ?
Output: 2.5 liters .
Problem: if 2 ^ 5 , 3 ^ 3 , and 14 ^ 2 are all factors of the product of 936 and w where w is a positive integer , what is the smallest possible value of w ?
Output: 16
Problem: a and b can finish a work in 10 days while b and c can do it in 18 days . a started the work , worked for 5 days , then b worked for 10 days and the remaining work was finished by c in 15 days . in how many days could c alone have finished the whole work ?
Output: 45 days
Problem: a boat running upstream takes 8 hours 48 minutes to cover a certain distance , while it take 4 hours to cover the same distance running downstream . what is the ratio between the speed of the boat and speed of the water current respectively ?
Output: 8 : 3
Problem: if 2 ^ x + 2 ^ y = 10 ^ 0 + 90 ^ 0 , where x and y are non negative integers , what is the greatest possible value of | x â € “ y | ?
Output: 0
Problem: a certain bus driver is paid a regular rate of $ 16 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 1032 in total compensation , how many total hours did he work that week ?
Output: 5
Problem: find the length of the wire required to go 15 times round a square field containing 69696 m 2 ?
Output: 15840
Problem: p , q and r have rs . 7000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ?
Output: rs . 2800
Problem: rahul put his timepiece on the table in such a way that at 6 p . m . hour hand points to north . in which direction the minute hand will point at 9.15 p . m . ?
Output: west
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 40 overs to reach a target of 282 runs ?
Output: 6.25
Problem: a and b together can complete a piece of work in 10 days . if a alone can complete the same work in 15 days , in how many days , in how many days can b alone complete that work ?
Output: 30
Problem: the triplicate ratio of 2 : 4 is ?
Output: 1 : 8
Problem: how many liters of a 40 % iodine solution need to be mixed with 35 liters of a 20 % iodine solution to create a 32 % iodine solution ?
Output: 102
Problem: a garrison of 2000 men has provisions for 54 days . at the end of 18 days , a reinforcement arrives , and it is now found that the provisions will last only for 20 days more . what is the reinforcement ?
Output: 1600
Problem: the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 75 kg . what might be the weight of the new person ?
Output: 95 kg
Problem: when a merchant imported a certain item , she paid a 7 percent import tax on the portion of the total value of the item in excess of $ 1,000 . if the amount of the import tax that the merchant paid was $ 109.20 , what was the total value of the item ?
Output: $ 2,56
Problem: the “ length of integer x ” refers to the number of prime factors , not necessarily distinct , that x has . ( if x = 60 , the length of x would be 4 because 60 = 2 × 2 × 3 × 5 . ) what is the greatest possible length of integer z if z < 1,080 ?
Output: 10
Problem: how many multiples of 3 are less than 6500 , and also multiples of 7 ?
Output: 310
Problem: a can finish a piece of work in 4 days . b can do it in 10 days . they work together for two days and then a goes away . in how many days will b finish the work ?
Output: 3
Problem: if the sides of a triangle are 26 cm , 24 cm and 15 cm , what is its area ?
Output: 180
Problem: two trains , a and b , started simultaneously from opposite ends of a 125 - mile route and traveled toward each other on parallel tracks . train a , traveling at a constant rate , completed the 125 - mile trip in 12 hours ; train b , traveling at a constant rate , completed the 125 - mile trip in 8 hours . how many miles had train a traveled when it met train b ?
Output: 5
Problem: if the simple interest on a certain amount in at 4 % rate 5 years amounted to rs . 2400 less than the principal . what was the principal ?
Output: 3000
Problem: out of 250 students of a college , 160 play football , 90 play cricket and 50 neither play football nor cricket . how many students play both football and cricket ?
Output: 50
Problem: what is the area a of the square with the following coordinates : ( x , y ) , ( 20 , 20 ) , ( 20 , 5 ) , ( x , 5 ) ?
Output: 225 .', 'e ) it can not be determined from the information given'
Problem: a van takes 5 hours to cover a distance of 495 km . what speed in kph should the van maintain to cover the same distance in 3 / 2 of the previous time ?
Output: 66
Problem: what is the probability of getting a queen or spade from a set of cards ?
Output: 4 / 13
Problem: find the compound interest on $ 1000 in 2 years at 4 % per annum , the interest being compounded half - yearly ?
Output: $ 82.43
Problem: if n is a positive integer and n ^ 2 is divisible by 36 , then the largest positive integer that must divide n is
Output: 6
Problem: the population of a town is 8000 . it decreases annually at the rate of 10 % p . a . what was its population 2 years ago ?
Output: 9876
Problem: sum of two numbers is 40 and their difference is 4 . the ratio of the numbers is
Output: 11 : 9
Problem: a man sitting in a train which is traveling at 36 kmph observes that a goods train , traveling in opposite direction , takes 10 seconds to pass him . if the goods train is 240 m long , find its speed
Output: 50 kmph
Problem: a train traveling at 72 kmph crosses a platform in 30 seconds and a man standing on the platform in 15 seconds . what is the length of the platform in meters ?
Output: 300 meters
Problem: brenda and sally run in opposite direction on a circular track , starting at diametrically opposite points . they first meet after brenda has run 50 meters . they next meet after sally has run 150 meters past their first meeting point . each girl runs at a constant speed . what is the length of the track in meters ?
Output: 250
Problem: a man buys a cycle for rs . 1900 and sells it at a loss of 18 % . what is the selling price of the cycle ?
Output: s . 1558
Problem: at the end of the day , february 14 th , a florist had 120 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 20 of which were white and 10 of which were pink . the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed . if none of the long - stemmed roses were white , what percentage of the long - stemmed roses were red ?
Output: 50 %
Problem: the difference between a two - digit number and the number obtained by interchanging the positions of its digits is 27 . what is the difference between the two digits of that number ?
Output: 3
Problem: a fair price shopkeeper takes 10 % profit on his goods . he lost 60 % goods during theft . his loss percent is :
Output: 56 %
Problem: a corporation that had $ 115.19 billion in profits for the year paid out $ 230.10 million in employee benefits . approximately what percent of the profits were the employee benefits ? ( note : 1 billion = 10 ^ 9 )
Output: 0.2
Problem: 39 men can complete a piece of work in 18 days . in how many days will 27 men complete the same work ?
Output: 26
Problem: two cars a and b start from boston and new york respectively simultaneously and travel towards each other at constant speeds along the same route . after meeting at a point between boston and new york the two cars a and b proceed to their respective destinations of new york and boston . car a reaches new york 80 minutes after the two cars have met and car b reaches boston 90 minutes after they have met . how long did car a take to cover the distance between boston and new york ?
Output: 2 hours 20 minute
Problem: a metallic sphere of radius 24 cm is melted and drawn into a wire , whose radius of cross section is 16 cm . what is the length of the wire ?
Output: 72 c
Problem: two pipes can fill a tank in 18 minutes and 6 minutes . an outlet pipe can empty the tank in 45 minutes . if all the pipes are opened when the tank is empty , then how many minutes will it take to fill the tank ?
Output: 1 / 6
Problem: how many multiples of 4 are there between 32 and 252 ?
Output: 54
Problem: a train 260 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 140 m long ?
Output: 32
Problem: set # 1 = { a , b , c , d , e , f } set # 2 = { k , l , m , n , o , p } there are these two sets of letters , and you are going to pick exactly one letter from each set . what is the probability of picking at least one vowel ?
Output: 4 /
Problem: if a no . when divided by 44 , gives 432 as quotient and 0 as remainder . what will be the remainder when dividing thesame no . by 31
Output: 5
Problem: the age of somu is one - third his father ' s . 7 years back he was one - fifth of his father ' s age . what is his persent age ?
Output: 14
Problem: sam ’ s car was fined when he gave joe and peter a ride , so they decided to help sam pay the fine . joe paid $ 6 more than 1 / 4 of the fine and peter paid $ 6 less than 1 / 3 of the fine , leaving pay $ 10 less than 1 / 2 the fine to complete the payment . what fraction of the fine did sam pay ?
Output: $ 50
Problem: the average wages of a worker during a fortnight comprising 15 consecutive working days was $ 90 per day . during the first 7 days , his average wages was $ 87 per day and the average wages during the last 7 days was $ 91 per day . what was his wage on the 8 th day ?
Output: $ 10
Problem: it is decided to construct a 2 metre broad pathway around a rectangular plot on the inside . if the area of the plots is 96 sq . m . and the rate of construction is rs . 50 per square metre . , what will be the total cost of the construction ?
Output: insufficient data', 'd ) rs . 4400', 'e ) none of these'
Problem: in a class , there are 18 boys who are over 160 cm tall . if these constitute 3 - fourths of the boys and the total number of boys is two - thirds of the total number of students in the class , what is the number of girls in the class ?
Output: 12
Problem: a and b invests rs . 10000 each , a investing for 6 months and b investing for all the 12 months in the year . if the total profit at the end of the year is rs . 24000 , find their shares ?
Output: 8000
Problem: the perimeter of a triangle is 40 cm and the inradius of the triangle is 2.5 cm . what is the area of the triangle ?
Output: 50 cm
Problem: if 75 percent of a class answered the first question on a certain test correctly , 70 percent answered the second question on the test correctly , and 20 percent answered neither of the questions correctly , what percent answered both correctly ?
Output: 65
Problem: if a man lost 4 % by selling oranges at the rate of 72 a rupee at how many a rupee must he sell them to gain 44 % ?
Output: 48
Problem: a man swims downstream 40 km and upstream 16 km taking 4 hours each time , what is the speed of the man in still water ?
Output: 7.5
Problem: | 5 - 2 | - | 6 - 9 | = ?
Output: 0
Problem: find value of x : 121 × 54 = x
Output: 7562
Problem: two pipes a and b can fill a tank in 20 and 30 minutes respectively . if both the pipes are used together , then how long it will take to fill the tank ?
Output: 12 mins
Problem: how many integers are between 4 and 87 / 8 , inclusive ?
Output: 7
Problem: aishwarya rai walks into a bank to cash out her check . by mistake the bank teller gives her dollar amount in change , and her cent amount in dollars . on the way home she spends 5 cent , and then suddenly she notices that she has twice the amount of her check . how much was her check amount ?
Output: 31.6
Problem: the length of a room is 9 m and width is 4.75 m . what is the cost of paying the floor by slabs at the rate of rs . 900 per sq . metre .
Output: 3847
Problem: if 2 ^ 5 , 3 ^ 3 , and 13 ^ 2 are all factors of the product of 936 and w where w is a positive integer , what is the smallest possible value of w ?
Output: 15
Problem: a sum of money at simple interest amounts to rs . 815 in 2 years and to rs . 854 in 4 years . the sum is :
Output: s . 73
Problem: i chose a number and divide it by 12 . then i subtracted 240 from the result and got 8 . what was the number i chose ?
Output: 2976
Problem: at 1 : 00 pm , a truck left city p and headed toward city q at a constant speed of 36 km / h . one hour later , a car left city q and headed toward city p along the same road at a constant speed of 48 km / h . if the distance between city p and city q is 330 km , at what time will the truck and the car meet each other ?
Output: 5 : 3
Problem: if x = 27 ^ 324 and y = 3 ^ 134 , what is the units digit of x / y ?
Problem: in what time will a train 100 meters long cross an electric pole , if its speed is 72 km / hr
Output: 5 seconds
Problem: at joel ’ s bookstore , the current inventory is 30 % historical fiction . of the historical fiction books , 40 % are new releases , while 50 % of the other books are new releases . what fraction of all new releases are the historical fiction new releases ?
Output: 12 / 47
Problem: if 45 % of a class averages 95 % on a test , 50 % of the class averages 78 % on the test , and the remainder of the class averages 60 % on the test , what is the overall class average ? ( round final answer to the nearest percent ) .
Output: 85 %
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 twice 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 $ 0.30 per glass on the first day , what was the price per glass on the second day ?
Output: $ 0.20
Problem: calculate the effect changes in dimension of a rectangle will have on its area , if length is increased by 40 % and its breadth is decreased by 25 % ?
Output: 5 % increase
Problem: if 3 / w + 3 / x = 3 / y and wx = y , then the average ( arithmetic mean ) of w and x is
Output: 1 / 2
Problem: - - - - - - - - - - - - - - - - yes - - - - - - - - - no - - - - unsure subject m - - - - 500 - - - - - - - - 200 - - - - - 100 subject r - - - - 400 - - - - - - - - 100 - - - - - 300 a total of 800 students were asked whether they found two subjects , m and r , interesting . each answer was either yes or no or unsure , and the numbers of students who gave these answers are listed in the table above . if 140 students answered yes only for subject m , how many of the students did not answer yes for either subject ?
Output: 260
Problem: the area of a square field is 7201 sq m . how long will a lady take to cross the field diagonally at the rate of 2.4 km / hr ?
Output: 3 min', 'c ) 4 min', 'd ) 5 min', 'e ) 6 min'
Problem: a man can do a piece of work in 7 days , but with the help of his son , he can finish it in 3 days . in what time can the son do it alone ?
Output: 4 1 / 5
Problem: 30 liters of a mixture contains milk and water in the ratio 2 : 1 . if 5 liters of this mixture be replaced by 5 liters of milk , the ratio of milk to water in the new mixture would be ?
Output: 5 : 2
Problem: if | 5 x - 25 | = 100 , then find the sum of the values of x ?
Output: 10
Problem: running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 8 such machines produce in 4 minutes ?
Output: 1440
Problem: how many zeroes are there at the end of the number n , if n = 100 ! + 200 ! ?
Output: 2
Problem: a number when divided b the sum of 555 and 445 gives two times their difference as quotient and 30 as the remainder . the number is :
Output: 22030
Problem: if two dice are thrown together , the probability of getting an even prime number on the dice is
Output: 1 / 36
Problem: compound x contains elements a and b at an approximate ratio , by weight , of 2 : 10 . approximately how many grams of element b are there in 108 grams of compound x ?
Output: 90
Problem: find the greatest number that will divide 205 , 626 and 588 leaving 5 , 6 and 8 as remainders respectively
Output: 2
Problem: tough and tricky questions : ratios 4 / 5 of a certain class left on a field trip . 1 / 3 of the students who stayed behind did not want to go on the field trip ( all the others did want to go ) . when another vehicle was located , 1 / 2 of the students who did want to go on the field trip but had been left behind were able to join . what fraction of the class ended up going on the field trip ?
Output: 13 / 15
Problem: if x ^ 2 + 9 / x ^ 2 = 10 , what is the value of x - 3 / x
Output: 2
Problem: the average salary / head of all the workers in a workshop is rs . 1100 , if the average salary / head of 9 technician is rs . 1300 and the average salary / head of the rest is rs . 880 , the total no . of workers in the work - shop is ?
Output: 17
Problem: in traveling from a dormitory to a certain city , a student went 1 / 5 of the way by foot , 2 / 3 of the way by bus , and the remaining 10 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ?
Output: 62
Problem: joe invested a certain sum of money in a simple interest bond whose value grew to $ 310 at the end of 3 years and to $ 410 at the end of another 5 years . what was the rate of interest in which he invested his sum ?
Output: 8 %
Problem: a rhombus has area 432 sq m , one diagonal is 36 cm . find other diagonal ?
Output: 2400 m', 'b ) 2500 m', 'c ) 2600 m', 'd ) 2700 m', 'e ) 2900 m'
Problem: if { x } is the product of all even integers from 1 to x inclusive , what is the greatest prime factor of { 12 } + { 10 } ?
Output: 13
Problem: a , b and c invested rs . 2400 , rs . 7200 and rs . 9600 respectively , in a partnership business . find the share of a in profit of rs . 9000 after a year ?
Output: 1125
Problem: a women purchased 3 towels @ rs . 100 each , 5 towels @ rs . 150 each and two towels at a certain rate which is now slipped off from his memory . but she remembers that the average price of the towels was rs . 165 . find the unknown rate of two towels ?
Output: e ) 60
Problem: aaron will jog from home at 2 miles per hour and then walk back home by the same route at 4 miles per hour . how many miles from home can aaron jog so that he spends a total of 3 hours jogging and walking ?
Output: 3
Problem: every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 57600 ?
Output: 72900
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 35 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: 26 %
Problem: a boat can travel with a speed of 22 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 135 km downstream
Output: 5 hours
Problem: a bag contains 5 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is
Output: 19 / 3
Problem: find the 10 th term of an arithmetic progression whose first term is 8 and the common difference is 2 .
Output: 26
Problem: if ( 10 x + 2 ) / 4 - ( 3 x - 6 ) / 18 = ( 2 x + 4 ) / 3 , then what is the value of x ?
Output: 3 / 10
Problem: the cross - section of a cannel is a trapezium in shape . if the cannel is 8 m wide at the top and 6 m wide at the bottom and the area of cross - section is 700 sq m , the depth of cannel is ?
Output: 100
Problem: the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.80 per metre .
Output: 6336
Problem: a man bought 20 shares of rs . 50 at 5 discount , the rate of dividend being 4 % . the rate of interest obtained is
Output: 5.28 %
Problem: a train 150 m long is running at a speed of 68 kmph . how long does it take to pass a man who is running at 8 kmph in the same direction as the train ?
Output: 9 sec
Problem: convert the 13 / 54 m / s into kilometers per hour ?
Output: 0.86
Problem: in a 300 m race a beats b by 22.5 m or 6 seconds . b ' s time over the course is :
Output: 80 sec
Problem: annie and sam set out together on bicycles traveling at 15 and 12 km per hour respectively . after 40 minutes , annie stops to fix a flat tire . if it takes annie 30 minutes to fix the flat tire and sam continues to ride during this time , how many minutes will it take annie to catch up with sam assuming that annie resumes riding at 15 km per hour ?
Output: 80
Problem: john and jane went out for a dinner and they ordered the same dish . both used a 10 % discount coupon . john paid a 15 % tip over the original price of the dish , while jane paid the tip over the discounted price for the coupon . if john paid $ 0.60 more than jane , what was the original price of the dish ?
Output: 40
Problem: a certain industrial loom weaves 0.126 meters of cloth every second . approximately how many seconds will it take for the loom to weave 15 meters of cloth ?
Output: 11
Problem: a cistern is normally filled in 8 hrs , but takes 2 hrs longer to fill because of a leak on its bottom , if cistern is full , how much time citern would empty ?
Output: 40 hours
Problem: oil cans x and y are right circular cylinders and the height and radius of y are each 4 times those of x . if the oil in can x filled to capacity sells for $ 2 , how much does the oil in y sell for if y is only half filled ?
Output: $ 64
Problem: a searchlight on top of the watch - tower makes 6 revolutions per minute . what is the probability that a man appearing near the tower will stay in the dark for at least 10 seconds ?
Problem: jerome anticipated that the webweb . com stock price would fall and sold all his webweb . com stocks for $ 5 per stock . he paid $ 10,000 tax on the revenue . a week later , jerome became convinced that the webweb . com stock price would rise , and he used the money that he had gotten from selling the webweb . com stocks to purchase them again , this time at $ 6 per stock . if jerome ended up having 4000 webweb . com stocks fewer than the number he had before selling them , how many webweb . com stocks did he have originally ?
Output: 14,000
Problem: how many distinct integer values of n satisfy the inequality | | n - 3 | + 4 | ≤ 15 ?
Output: 1
Problem: a man rows his boat 75 km downstream and 45 km upstream , taking 5 hours each time . find the speed of the stream ?
Output: 3 kmph
Problem: an industrial loom weaves 0.128 metres of cloth every second . approximately , how many seconds will it take for the loom to weave 25 metre of cloth ?
Output: 195 seconds
Problem: at what time between 5 and 6 o ' clock are the hands of a 3 minutes apart ?
Output: 24
Problem: the probability is 1 / 2 that a certain coin turns up heads on any given toss . if the coin is tossed 6 times , what is the probability that the coin turns up tails on at least one of the tosses ?
Output: 63 / 64
Problem: a football field is 8400 square yards . if 1200 pounds of fertilizer are spread evenly across the entire field , how many pounds of fertilizer were spread over an area of the field totaling 3500 square yards ?
Output: 500
Problem: the lowest number which should be added to 11390 so that the sum is exactly divisible by 7 , 9 , 10 and 12 is :
Output: 1210
Problem: a telephone company needs to create a set of 3 - digit area codes . the company is entitled to use only digits 2 , 4 and 3 , which can be repeated . if the product of the digits in the area code must be even , how many different codes can be created ?
Output: 26
Problem: 120 students represent x percent of the boys at a school . if the boys at the school make up 30 % of the total school population of x students , what is x ?
Output: 200
Problem: a man spends 2 / 5 of his salary on house rent , 3 / 10 of his salary on food and 1 / 8 of his salary on conveyance . if he has rs . 1400 left with him , find his expenditure on food and conveyance .
Output: 1000
Problem: find the average of all prime numbers between 10 and 30 .
Output: 18.6
Problem: of the diplomats attending a summit conference , 17 speak french , 32 do not speak russian , and 20 % of the diplomats speak neither french nor russian . if 10 % of the diplomats speak both languages , then how many diplomats attended the conference ?
Output: 15
Problem: in a recent election , geoff received 15 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: 74.5
Problem: in a can , there is a mixture of milk and water in the ratio 4 : 5 . if it is filled with an additional 6 litres of milk the can would be full and ratio of milk and water would become 6 : 5 . find the capacity of the can ?
Output: 33
Problem: a lady grows broccoli in her garden that is in the shape of a square . each broccoli takes 1 square foot of area in her garden . this year , she has increased her output by 79 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 she produce this year ?
Output: 1600', 'b ) 1500', 'c ) 1650', 'd ) 1700', 'e ) can not be determined'
Problem: a train 120 m long is running at 60 kmph . in how much time will it pass a platform 240 m long ?
Output: 21.6 seconds
Problem: a is twice as good a workman as b and together they complete a work in 12 days . in how many days a alone can do the work ?
Output: 3
Problem: 10 women can complete a work in 5 days and 10 children take 10 days to complete the work . how many days will 5 women and 10 children take to complete the work ?
Output: 5
Problem: if p # q denotes the least common multiple of p and q , then e = ( ( 12 # 16 ) # ( 18 # 24 ) ) = ?
Output: 144
Problem: if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 6 - m ) then m = ?
Output: 2
Problem: a train passes a platform in 44 seconds . the same train passes a man standing on the platform in 20 seconds . if the speed of the train is 54 km / hr , the length of the platform is
Output: 360
Problem: exactly 35 % of the reporters for a certain wire service cover local politics in country x . if 30 % of the reporters who cover politics for the wire service do not cover local politics in country x , what percent of the reporters for the wire service do not cover politics ?
Output: 50 %
Problem: if rs . 10 be allowed as true discount on a bill of rs . 110 due at the end of a certain time , then the discount allowed on the same sum due at the end of double the time is :
Output: rs . 18.33
Problem: the speed at which a man can row a boat in still water is 150 kmph . if he rows downstream , where the speed of current is 48 kmph , what time will he take to cover 390 metres ?
Output: 13
Problem: a shopkeeper gave an additional 20 per cent concession on the reduced price after giving 30 per cent standard concession on an article . if arun bought that article for 1120 , what was the original price ?
Output: 2000
Problem: if x , y , and z are positive integers and 3 x = 4 y = 7 z , then the least possible value of x - y + z is
Output: 19
Problem: a man has some hens and cows . if the number of heads be 48 and the number of feet equals 140 , then the number of cows will be :
Output: 2
Problem: a man buys an article for $ 100 . and sells it for $ 130 . find the gain percent ?
Output: 30
Problem: how many cubes of 20 cm edge can be put in a cubical box of 1 m edge .
Output: 125 cm
Problem: 3 houses are available in a new flat . 3 persons apply for the houses . each applies for 1 house without consulting others . the probability that all the 3 apply for the same house is ?
Output: 1 / 9
Problem: if log 10 5 + log 10 ( 5 x + 1 ) = log 10 ( x + 5 ) + 1 , then x is equal to :
Output: 3
Problem: the sum of 4 consecutive even numbers is 140 . what would be the smallest number ?
Output: 32
Problem: a train speeds past a pole in 15 seconds and a platform 100 m long in 30 seconds . its length is ?
Output: 200 m
Problem: an article is sold at a certain price . by selling it at 2 / 3 of that price one loses 10 % . find the gain percent at original price ?
Output: 35 %
Problem: in a sports club with 30 members , 17 play badminton and 19 play tennis and 3 do not play either . how many members play both badminton and tennis ?
Output: 9
Problem: the local recycling plant had a contract requiring anyone who obtained recycled bottles for storage for them , to bring them back to be recycled again . the plant could make one new bottle from every 7 bottles returned . one week , on monday , they got 343 bottles to recycle . assuming that everybody brought back all the empties , how many could they eventually remake from the 343 ?
Output: 5
Problem: how many numbers between 400 and 1000 can be made with the digits 2 , 3,4 , 5,6 and 0 ?
Output: 60
Problem: the difference between the heights of two trees is 20 cm . 10 years ago , the taller one was thrice as taller as the shorter one . the present height of the taller tree is
Output: 300 cm
Problem: water consists of hydrogen and oxygen , and the approximate ratio , by mass , of hydrogen to oxygen is 2 : 16 . approximately how many grams of oxygen are there in 108 grams of water ?
Output: 96
Problem: in an examination , 35 % of total students failed in hindi , 45 % failed in english and 20 % in both . the percentage of these who passed in both the subjects is :
Output: 40 %
Problem: 8 people went to a restaurant for dinner . 7 of them spent $ 10 each on their meals and the eighth spent $ 7 more than the average expenditure of all 8 people . what was the total amount of money that the 8 people spent ?
Output: $ 88
Problem: a person crosses a 1080 m long street in 12 minutes . what is his speed in km per hour ?
Output: 5.4
Problem: there were two candidates in an election . winner candidate received 62 % of votes and won the election by 384 votes . find the number of votes casted to the winning candidate ?
Output: 992
Problem: the compound ratio of 1 : 2 , 2 : 5 and 3 : 10 ?
Output: 3 : 5
Problem: if the product of the integers from 1 to n is divisible by 210 , what is the least possible value of n ?
Output: 7
Problem: a grocer is storing soap boxes in cartons that measure 25 inches by 42 inches by 60 inches . if the measurement of each soap box is 7 inches by 6 inches by 10 inches , then what is the maximum number of soap boxes that can be placed in each carton ?
Output: 150
Problem: selling an kite for rs . 30 , a shop keeper gains 25 % . during a clearance sale , the shopkeeper allows a discount of 10 % on the marked price . his gain percent during the sale is ?
Output: 12.5 %
Problem: in a university the average age in an arts class is 21 and average age in technical class is 18 . what is the age average of university if there are 8 arts classes and 5 technical classes ?
Output: 19.85
Problem: a theater box office sold an average ( arithmetic mean ) of 65 tickets per staff member to a particular movie . among the daytime staff , the average number sold per member was 75 , 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 : 2
Problem: a milk man has 40 liters of milk . if he mixes 5 liters of water , which is freely available , in 20 liters of pure milk . if the cost of pure milk is rs . 18 per liter , then the profit of the milkman , when he sells all the mixture at cost price is :
Output: 45 %
Problem: the sum of ages of 5 children born 1 years different each is 30 years . what is the age of the elder child ?
Output: 8
Problem: in a kilometer race , if abhishek gives bharti a 40 m start , abhishek wins by 19 sec . but if abhishek gives bharti a 30 sec start , bharti wins by 40 m . find the time taken by bharti to run 5,000 m ?
Output: 750 sec
Problem: every disk in a bag is either blue , yellow or green . the ratio of blue disks to yellow disks to green disks in this bag is 3 : 7 : 8 . if the total number of disks in the bag is 144 , how many more green disks than blue disks are in the bag ?
Output: 4
Problem: if the sum of two numbers is 22 and the sum of their squares is 404 , then the product of the numbers is
Output: 40
Problem: there are 200 female managers in a certain company . find the total number w of female employees in the company , if 2 / 5 of all the employees are managers and 2 / 5 of all male employees are managers .
Output: w = 500
Problem: a store reduced the price of all items in the store by 10 % on the first day and by another 10 % on the second day . the price of items on the second day was what percent of the price before the first reduction took place ?
Output: 81.0
Problem: on the first of the year , james invested x dollars at proudstar bank in an account that yields 0.5 % in interest every quarter year . at the end of the year , during which he made no additional deposits or withdrawals , he had y dollars in the account . if james had invested the same amount in an account which pays interest on a yearly basis , what must the interest rate be for james to have y dollars at the end of the year ?
Output: 2.04 %
Problem: the chance of rain on any given day in tel - aviv is 50 % . what is the probability w that it rained in tel - aviv on exactly 4 out of 6 randomly chosen days ?
Output: 15 / 64
Problem: the sum of two numbers is 77 . 5 times one number is equal to 6 times the other . the bigger of the two numbers is
Output: 42