Problem stringlengths 5 967 | category class label 6
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harold works at a resort from the beginning of march to the end of september . during the month of august this past year , he made 5 times the average ( arithmetic mean ) of his monthly totals in tips for the other months . his total tips for august were what fraction of his total tips for all of the months he worked ? | 0general |
a clock store sold a certain clock to a collector for 45 percent more than the store had originally paid for the clock . when the collector tried to resell the clock to the store , the store bought it back at 25 percent of what the collector had paid . the shop then sold the clock again at a profit of 55 percent on its buy - back price . if the difference between the clock ' s original cost to the shop and the clock ' s buy - back price was $ 180 , for how much did the shop sell the clock the second time ? | 0general |
in a hostel there were 100 students . to accommodate some more students the average budget is decreased by rupees 10 . but total expenditure increased by rs . 400 . if the total expenditure of the hostel now 5400 , find the number of student joined ? | 0general |
54 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ? | 1physics |
what is the probability of getting sum 10 with the help of three dice ? | 4probability |
a certain fraction has the same ratio to 1 / 18 , as 2 / 5 does to 7 / 9 . what is this certain fraction ? | 5other |
a batsman makes a score of 87 runs in the 17 th inning and thus increases his average by 4 . find his average after 17 th inning . | 0general |
. if the sides of two cubes are in the ratio 3 : 1 the ratio of their total surface area is ? | 3geometry |
the sum of the first n positive perfect squares , where n is a positive integer , is given by the formula n ^ 3 / 3 + c * n ^ 2 + n / 6 , where c is a constant . what is the sum of the first 16 positive perfect squares ? | 0general |
when the positive integer x is divided by 9 , the remainder is 5 . what is the remainder when 6 x is divided by 9 ? | 0general |
set a : 3 , r , 8 , 10 set b : 4 , g , 9 , 11 the terms of each set above are given in ascending order . if the median of set a is equal to the median of set b , what is the value of g – r ? | 0general |
how many integers from 40 to 200 , inclusive , are divisible by 3 but not divisible by 7 ? | 0general |
water boils at 212 ° f or 100 ° c and ice melts at 32 ° f or 0 ° c . if the temperature of a pot of water is 45 ° c , what is the temperature of the pot of water in ° f ? | 1physics |
a sum of money at simple interest amounts to rs . 415 in 2 years and to rs . 514 in 4 years . the sum is ? | 2gain |
a man can row his boat with the stream at 26 km / h and against the stream in 4 km / h . the man ' s rate is ? | 2gain |
a and b can complete a work in 30 days and 15 day . they started doing the work together but after 5 days b had to leave and a alone completed the remaining work . the whole work was completed in ? | 1physics |
karen places a bet with tom that she will beat tom in a car race by 4 miles even if karen starts 4 minutes late . assuming that karen drives at an average speed of 60 mph and tom drives at an average speed of 45 mph , how many e miles will tom drive before karen wins the bet ? | 1physics |
the sum of two numbers is 73 and their difference is 28 . find the difference between their squares . | 0general |
a large tank can filled by a and b in 60 minutes and 40 minutes respectively . how many minutes will it take to fill the tanker from empty state if b is used for half the time and a and b fill it together for the other half ? | 1physics |
in order to fence a square manish fixed 48 poles . if the distance between two poles , is 1 metres then what will be the area of the square so formed ? | 1physics |
the ratio , by volume , of bleach to detergent to water in a certain solution is 4 : 40 : 100 . the solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ? | 5other |
two vessels contains equal number of mixtures milk and water in the ratio 8 : 2 and 9 : 1 . both the mixtures are now mixed thoroughly . find the ratio of milk to water in the new mixture so obtained ? | 5other |
for any integer n greater than 1 , # n denotes the product of all the integers from 1 to n , inclusive . how many prime numbers r are there between # 6 + 2 and # 6 + 6 , inclusive ? | 0general |
tickets numbered 1 to 20 are mixed up and then a ticked is drawn at random . what is the probability that the ticket drawn bears a number which is a multiple of 3 ? | 0general |
find the ratio between whole surfaces of a sphere and a hemisphere ? | 5other |
some of 10 % - intensity red paint is replaced with 20 % solution of red paint such that the new paint intensity is 15 % . what fraction of the original paint was replaced ? | 2gain |
a person walks from one end to the other of a 100 - meter long moving walkway at a constant rate in 25 seconds , assisted by the walkway . when this person reaches the end , they reverse direction and continue walking with the same speed , but this time it takes 150 seconds because the person is traveling against the direction of the moving walkway . if the walkway were to stop moving , how many seconds would it take this person to walk from one end of the walkway to the other ? | 1physics |
a certain number of workers can do a work in 65 days . if there were 10 workers more it could be finished in 10 days less . how many workers are there ? | 1physics |
a bag contains 6 black and 9 white balls . one ball is drawn at random . what is the probability that the ball drawn is white ? | 4probability |
walking at the rate of 8 kmph a man cover certain distance in 4 hr 45 min . running at a speed of 19 kmph the man will cover the same distance in . | 1physics |
a train 420 m long , running with a speed of 63 km / hr will pass a tree in ? | 1physics |
every day daniel drives 100 miles back from work . on sunday , daniel drove all the way back from work at a constant speed of x miles per hour . on monday , daniel drove the first 32 miles back from work at ( 2 x ) miles per hour , and the rest of the way at ( x / 2 ) miles per hour . the time it took daniel to drive back from work on monday is longer than the time it took him to drive back from work on sunday by what percent ? | 1physics |
in what ratio must tea of rs . 42 per kg be mixed with tea of rs . 50 per kg so that cost of mixture is rs . 45 per kg ? | 5other |
in the biotechnology class of 2000 , there were x graduates . 32 of the graduates found a job , 45 continued on to their second degree and 13 did both . if only 9 people did n ' t do both , what is x equal to ? | 5other |
the number 61 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ? | 3geometry |
the average weight of 6 persons increases by 1.5 kg . if a person weighing 65 kg is replaced by a new person , what could be the weight of the new person ? | 0general |
a sun is divided among x , y and z in such a way that for each rupee x gets , y gets 45 paisa and z gets 50 paisa . if the share of y is rs . 54 , what is the total amount ? | 0general |
from the sale of sleeping bags , a retailer made a gross profit of 14 % of the wholesale cost . if each sleeping bag was sold for $ 28 , what was the wholesale cost per bag ? | 2gain |
in 150 m race , a covers the distance in 36 seconds and b in 45 seconds . in this race a beats b by : | 1physics |
the value of ( 34.31 * 0.473 * 1.567 ) / ( 0.5 * 23.25 * 7.57 ) is close to | 0general |
if x is 12 percent greater than 70 , then x = | 0general |
a man is 28 years older than his son . in two years , his age will be twice the age of his son . the present age of the son is | 0general |
a and b invests rs . 3000 and rs . 10000 respectively in a business . if a doubles his capital after 6 months . in what ratio should a and b divide that year ' s profit ? | 2gain |
what is the smallest integer that is multiple of 3 , 5,7 | 0general |
a call center has two teams . each member of team a was able to process 7 / 5 calls as compared to each member of team b . if team a has 5 / 8 as many number of call center agents as team b , what fraction of the total calls was processed by team b ? | 0general |
the speed at which a man can row a boat in still water is 10 kmph . if he rows downstream , where the speed of current is 2 kmph , what time will he take to cover 60 metres ? | 1physics |
what is the value of 4 ^ 5 + 4 ^ 4 ? | 0general |
the positive numbers w , x , y , and z are such that x is 10 percent greater than y , y is 20 percent greater than z , and w is 20 percent less than x . what percent greater than z is w ? | 0general |
a man misses a bus by 40 minutes if he travels at 30 kmph . if he travels at 40 kmph , then also he misses the bus by 10 minutes . what is the minimum speed required to catch the bus on time ? | 1physics |
5 n + 2 > 12 and 7 n + 2 < 44 ; n must be between which numbers ? | 0general |
a committee is reviewing a total of 20 x black - and - white films and 4 y color films for a festival . if the committee selects y / x % of the black - and - white films and all of the color films , what fraction of the selected films are in color ? | 0general |
a jogger running at 9 kmph along side a railway track is 250 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ? | 1physics |
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 11 kilometers by car . what is the distance , in kilometers , from the dormitory to the city ? | 1physics |
a train traveling at 42 kms / hr passes a cyclist going in the same direction in 9 secs . if the cyclist had been going in the opposite direction , the train would have passed him in 5 secs . find the length of the train . | 1physics |
the mean daily profit made by a shopkeeper in a month of 30 days was rs . 350 . if the mean profit for the first fifteen days was rs . 245 , then the mean profit for the last 15 days would be | 2gain |
in what ratio should a variety of rice costing rs . 5.5 per kg be mixed with another variety of rice costing rs . 8.75 per kg to obtain a mixture costing rs . 7.50 per kg ? | 5other |
john can complete a given task in 16 days . jane will take only 12 days to complete the same task . john and jane set out to complete the task by beginning to work together . however , jane was indisposed 5 days before the work got over . in how many days did the work get over from the time john and jane started to work on it together ? | 1physics |
what is the least positive integer that is not a factor of 30 ! and is not a prime number ? | 5other |
if the true discount on a sum due 3 years hence at 14 % per annum be rs . 168 , the sum due is : | 2gain |
find the slope of the line perpendicular to the line y = ( 1 / 5 ) x - 7 | 0general |
each child has 2 pencils and 13 skittles . if there are 9 children , how many pencils are there in total ? | 0general |
a 1200 m long train crosses a tree in 120 sec , how much time will i take to pass a platform 400 m long ? | 1physics |
chris age after 14 years will be 5 times his age 5 years back . what is the present age of chris ? | 0general |
the average of 13 numbers is 59 . average of the first 7 of them is 57 and that of the last 7 is 61 . find the 8 th number ? | 0general |
x is a positive integer less than 400 . when x is divided by 7 , the remainder is 1 ; when x is divided by 3 , the remainder is 2 . how many x are there ? | 0general |
a 300 m long train crosses a platform in 39 sec while it crosses a signal pole in 8 sec . what is the length of the platform ? | 1physics |
the rate of increase of the price of sugar is observed to be 3 percent more than the inflation rate expressed in percentage . the price of sugar , on january 1 , 1994 , is rs . 25 per kg . the inflation rate for the years 1994 and 1995 are expected to be 12 % each . the expected price of sugar on january 1 , 1996 would be | 0general |
a metallic sheet is of rectangular shape with dimensions 30 m x 25 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 6 m , the volume of the box ( in m cube ) is : | 3geometry |
average weight of 10 people increased by 3 kg when one person of 45 kg is replaced by a new man . then weight of the new man is | 0general |
find the average of all numbers between 4 and 41 which are divisible by 5 | 0general |
the value of log 5 ( 1 / 125 ) is | 5other |
a train 280 m long , running with a speed of 63 km / hr will pass a tree in ? | 1physics |
at a certain bowling alley , it costs $ 1 to rent bowling shoes for the day and $ 1.25 to bowl 1 game . if a person has $ 12.80 and must rent shoes , what is the greatest number of complete games that person can bowl in one day ? | 1physics |
sales price is $ 54 , gross profit is 125 % of cost , what is the value of gross profit ? | 2gain |
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 22 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ? | 1physics |
marketing executives for a certain chewing gum company projected a 20 percent increase in revenue this year over that of last year , but revenue this year actually decreased by 10 % . what percent of the projected revenue was the actual revenue ? | 0general |
if the l . c . m of two numbers is 750 and their product is 18750 , find the h . c . f of the numbers | 1physics |
in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 3 : 7 : 12 . if the shop carries 375 dogs and bunnies total in stock , how many dogs are there ? | 5other |
30 percent of andrea ' s living room floor is covered by a carpet that is 4 feet by 9 feet . what is the area of her living room floor ? | 2gain |
a sum of money at simple interest amounts to rs . 830 in 3 years and to rs . 854 in 4 years . the sum is : | 2gain |
a person p takes 4 hrs time to complete a job and q takes 6 hrs to complete the same job if they work together how much time will they require to complete the job ? | 1physics |
a shopkeeper fixes the marked price of an item 35 % above its cost price . the percentage of discount allowed to gain 8 % is | 2gain |
if the cost price of 22 articles is equal to the selling price of 16 articles , what is the percentage of profit or loss that the merchant makes ? | 2gain |
six bells commence tolling together and toll at intervals of 2 , 4 , 6 , 8 10 and 12 seconds respectively . in 30 minutes , how many times do they toll together ? | 1physics |
at what rate percent per annum will the simple interest on a sum of money be 4 / 5 of the amount in 10 years ? | 2gain |
the area of a rectangular field is equal to 300 square meters . its perimeter is equal to 70 meters . find the length of this rectangle . | 3geometry |
a man can row at 5 kmph in still water . if the velocity of the current is 1 kmph and it takes him 1 hour to row to a place and come back , how far is the place ? | 1physics |
a sum fetched a total simple interest of $ 4106.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ? | 2gain |
find the perimeter and area of a square of side 13 cm . | 3geometry |
a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 75 % of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ? | 0general |
the profit earned by selling an article for $ 832 is equal to the loss incurred when the same article is sold for $ 448 . what should be the sale price for making 45 % profit ? | 2gain |
find the area of a right - angled triangle whose base is 12 cm and hypotenuse is 13 cm . | 3geometry |
a motorist travels to a place 150 km away at an average speed of 50 km / hr and returns at 30 km / hr . his average speed for the whole journey in km / hr is ? | 0general |
4685 * 999 | 0general |
40 persons like apple . 7 like orange and mango dislike apple . 10 like mango and apple and dislike orange . 5 like all . how many people like apple ? | 0general |
a textile manufacturing firm employees 56 looms . it makes fabrics for a branded company . the aggregate sales value of the output of the 56 looms is rs 5 , 00,000 and the monthly manufacturing expenses is rs 1 , 50,000 . assume that each loom contributes equally to the sales and manufacturing expenses are evenly spread over the number of looms . monthly establishment charges are rs 75000 . if one loom breaks down and remains idle for one month , the decrease in profit is : | 0general |
a factory produces 5505 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 ? | 1physics |
8 men , working 8 hours a day can complete a work in 24 days . how many hours a day must 12 men work to complete the same work in 16 days ? | 1physics |
in a rectangular coordinate system , what is the area of a rectangle whose vertices have the coordinates ( - 9 , 1 ) , ( 1 , 1 ) , ( 1 , - 8 ) and ( - 9 , - 8 ) ? | 3geometry |
company s produces two kinds of stereos : basic and deluxe . of the stereos produced by company s last month , 1 / 3 were basic and the rest were deluxe . if it takes 7 / 5 as many hours to produce a deluxe stereo as it does to produce a basic stereo , then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ? | 0general |
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