Problem stringlengths 5 967 | category class label 6
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a train is 460 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length ? | 1physics |
joe needs to paint all the airplane hangars at the airport , so he buys 360 gallons of paint to do the job . during the first week , he uses 1 / 4 of all the paint . during the second week , he uses 1 / 6 of the remaining paint . how many gallons of paint has joe used ? | 1physics |
a train 100 m long crosses a platform 180 m long in 14 sec ; find the speed of the train ? | 1physics |
a meal cost $ 48.75 adn there was no tax . if the tip was more than 5 pc but less than 20 pc of the price , then the total amount paid should be : | 0general |
on a map , 1 inch represents 28 miles . how many c inches would be necessary to represent a distance of 383.6 miles ? | 1physics |
a basket of 1430 apples is divided equally among a group of apple lovers . if 45 people join the group , each apple lover would receive 9 apples less . how many apples f did each person get before 45 people joined the feast ? | 0general |
if the wheel is 14 cm then the number of revolutions to cover a distance of 1232 cm is ? | 1physics |
what is the volume of an tetrahedron with edge length of 1 ? | 3geometry |
an exam consists of 2 true / false questions . brian forgets to study , so he must guess blindly on each question . if any score above 70 % is a passing grade , what is the probability that brian passes ? | 0general |
the average age of 8 men increases by 2 years when two women are included in place of two men of ages 20 and 28 years . find the average age of the women ? | 0general |
a girl was riding her scooter . her father wanted to calculate her speed . he knew that the street was 600 meters from end to end . he saw his daughter make the roundtrip 6 times . it took her 20 minutes to complete those 6 trips . how fast was the girl riding her scooter in kilometers per hour ? | 1physics |
the ratio of two quantities is 2 : 3 . if each of the quantities is increased by 6 , what is the ratio of the new quantities ? | 5other |
a rower whose speed is 2.5 km / hr in still water rows to a certain point upstream and back to the starting point in a river which flows at 0.5 km / hr . what is the rower ' s average speed ( in km / hr ) for the total journey ? | 0general |
in what ratio should a variety of wheat costing rs . 3 per kg be mixed with another variety of wheat costing rs . 6.25 per kg to obtain a mixture costing rs . 4.50 per kg ? | 5other |
in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 5,3 ) , ( 8,3 ) , ( 4,5 ) , ( 7,5 ) ? | 3geometry |
the captain of a cricket team of 11 members is 27 years old and the wicket keeper is 3 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ? | 0general |
angelina walked 180 meters from her home to the grocery at a constant speed . she then walked 240 meters to the gym at double the speed . she spent 40 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ? | 1physics |
i have 150 pieces of cake . there are 50 friends in my house . i would like to give each friend the same amount of cake , how much should i give to each friend ? | 0general |
there is food for 760 men for 22 days . how many more men should join after two days so that the same food may last for 4 days more ? | 1physics |
sandy buys an old scooter for $ 900 and spends $ 300 on its repairs . if sandy sells the scooter for $ 1260 , what is the gain percent ? | 2gain |
find the amount on rs . 8000 in 2 years , the rate of interest being 4 % per first year and 5 % for the second year ? | 2gain |
of the 1000 inhabitants of a town , 60 % are males of whom 20 % are literate . if , of all the inhabitants , 25 % are literate , then what percent of the females of the town are literate ? | 2gain |
how much water must be added to 68 litres of milk at 1 1 ⁄ 2 litres for 20 so as to have a mixture worth 10 2 ⁄ 3 a litre ? | 0general |
i bought two books ; for rs . 600 . i sold one at a loss of 15 % and other at a gain of 19 % and then i found each book was sold at the same price . find the cost of the book sold at a loss ? | 2gain |
if x is to be chosen at random from the set { 1 , 2 , 3 , 4 } and y is to be chosen at random from the set { 5 , 6 , 7 , 8 } , what is the probability that xy will be even ? | 4probability |
the largest four digit number which is a multiple of 8 , 10,12 and 15 is : | 0general |
in how many ways can the integer 84 be expressed as a product of two different positive integers ? | 0general |
find the value of y from ( 12 ) ^ 3 x 6 ^ 2 ÷ 432 = y ? | 0general |
a man buys an article for $ 20 . and sells it for $ 35 . find the gain percent ? | 2gain |
a ball dropped from h height and moves 80 % of height each time . total distance covered is | 2gain |
calculate 73196 ÷ ? = 631 | 0general |
two trains of equal length , running with the speeds of 60 and 20 kmph , take 50 seconds to cross each other while they are running in the same direction . what time will they take to cross each other if they are running in opposite directions ? | 1physics |
on the number line , the number p is twice as many units from - 2 as - 2 is from 7 . if p is less than – 2 , what is the value of p ? | 0general |
find value for x from below equation ? x + 1 = 4 | 0general |
find large number from below question the difference of two numbers is 1325 . on dividing the larger number by the smaller , we get 5 as quotient and the 5 as remainder | 0general |
jo ' s collection contains us , indian and british stamps . if the ratio of us to indian stamps is 4 to 2 and the ratio of indian to british stamps is 5 to 1 , what is the ratio of us to british stamps ? | 5other |
if 11 boys meet at a reunion and each boy shakes hands exactly once with each of the others , then what is the total number of handshakes | 0general |
0.0005215 / 0.000305 x 6.2 = ? | 0general |
the output of a factory was increased by 10 % to keep up with rising demand . to handle the holiday rush , this new output was increased by 25 % . by approximately what percent would the output now have to be decreased in order to restore the original output ? | 0general |
a and b started a business investing rs . 24,000 and rs 18,000 respectively . in what ratio the profit earned after 2 years be divided between a and b respectively ? | 2gain |
find 283 / 1983 × 100 | 0general |
three unbiased coins are tossed . what is the probability of getting at least 2 tails ? | 4probability |
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 342 grams of compound x ? | 5other |
a certain article of clothing was discounted during a special sale to 4 / 5 of its original retail price . when the clothing did n ' t sell , it was discounted even further to 1 / 2 of its original retail price during a second sale . by what percent did the price of this article of clothing decrease from the first sale to the second sale ? | 2gain |
income and expenditure of a person are in the ratio 8 : 7 . if the income of the person is rs . 40000 , then find his savings ? | 5other |
workers decided to raise rs . 3 lacs by equal contribution from each . had they contributed rs . 50 eachextra , the contribution would have been rs . 3.50 lacs . how many workers were they ? | 0general |
how many positive integers less than 60 have a reminder 01 when divided by 4 ? | 0general |
a boat goes 100 km downstream in 10 hours , and 200 km upstream in 25 hours . the speed of the stream is ? | 1physics |
if 25 % of x is 30 less than 20 % of 1000 , then x is ? | 0general |
mr . bhaskar is on tour and he has rs . 360 for his expenses . if he exceeds his tour by 4 days , he must cut down his daily expenses by rs . 3 . for how many days is mr . bhaskar on tour ? | 1physics |
a bag contains 3 blue and 5 white marbles . one by one , marbles are drawn out randomly until only two are left in the bag . what is the probability z that out of the two , one is white and one is blue ? | 4probability |
a boat having a length 5 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 man is | 1physics |
a batsman in his 15 th inning makes a score of 75 and their by increasing his average by 3 . what is his average after the 15 th inning ? | 0general |
a man purchased 3 blankets @ rs . 100 each , 1 blankets @ rs . 150 each and two blankets at a certain rate which is now slipped off from his memory . but he remembers that the average price of the blankets was rs . 150 . find the unknown rate of two blankets ? | 0general |
five bells commence tolling together and toll at intervals of 2 , 4 , 6 , 8,10 seconds respectively . in 60 minutes , how many times do they toll together ? | 1physics |
a cube of side 4 meter length is cut into small cubes of side 25 cm each . how many such small cubes can be obtained ? | 1physics |
on a certain date , pat invested $ 6,000 at x percent annual interest , compounded annually . if the total value of the investment plus interest at the end of 10 years will be $ 24,000 , in how many years total will the total value of the investment plus interest increase to $ 48,000 ? | 0general |
if | y + 7 | = 12 , what is the sum of all the possible values of y ? | 0general |
the tax on a commodity is diminished by 15 % and its consumption increased by 10 % . the effect on revenue is ? | 0general |
positive integer y is 50 percent of 50 percent of positive integer x , and y percent of x equals 25 . what is the value of x ? | 0general |
cindy has her eye on a sundress but thinks it is too expensive . it goes on sale for 15 % less than the original price . before cindy can buy the dress , however , the store raises the new price by 25 % . if the dress cost $ 78.2 after it went on sale for 15 % off , what is the difference between the original price and the final price ? | 0general |
evaluate 20 % of 450 + 45 % of 200 | 2gain |
which greatest possible length can be used to measure exactly 12 meter 34 cm , 8 meter 98 cm and 6 meter 65 cm | 1physics |
working together , printer a and printer b would finish the task in 20 minutes . printer a alone would finish the task in 60 minutes . how many pages does the task contain if printer b prints 4 pages a minute more than printer a ? | 1physics |
a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 20,000 and at the same time n is a perfect square and a perfect cube ? | 3geometry |
if 20 liters of chemical x are added to 80 liters of a mixture that is 30 % chemical x and 70 % chemical y , then what percentage of the resulting mixture is chemical x ? | 0general |
the present population of a town is 60000 . the population increases annually at 10 % . find the population after 3 years . | 2gain |
sam ’ s car was fined when he gave joe and peter a ride , so they decided to help sam pay the fine . joe paid $ 4 more than 1 / 4 of the fine and peter paid $ 4 less than 1 / 3 of the fine , leaving pay $ 5 less than 1 / 2 the fine to complete the payment . what fraction of the fine did sam pay ? | 0general |
the total car population in a chennai is 900 out of which 500 are made by honda . out of every 100 honda cars , 90 are red in color , but only 60 % of the total car population is red . find the % of non - honda cars that are red | 0general |
find the least number of 5 digits which is exactly divisible by 12 , 15 and 18 ? | 0general |
the length of a rectangle is 3 times its width . if the width of the rectangle is 5 inches , what is the rectangle ' s area , in square inches ? | 3geometry |
a certain sum amount to $ 1400 in 2 yrs and $ 2000 in 5 years on certain fixed simple interest . in how many yrs would the amount be $ 1640 had it been put at the rate of interest compounded annually ? | 2gain |
the h . c . f . of two numbers is 15 and their l . c . m . is 620 . if one of the numbers is 375 , then the other is : | 1physics |
from a pack of 52 cards , 1 card is drawn at random . find the probability of a face card drawn . | 4probability |
what is 92 % of 3 / 5 ? | 2gain |
if 9 a - b = 10 b + 80 = - 12 b - 2 a , what is the value of 2 a + 22 b ? | 0general |
a can do a work in 24 days and b can do it in 8 days . in how many days a and b can do the work ? | 1physics |
the difference between the ages of two persons is 10 years . fifteen years ago , the elder one was twice as old as the younger one . the present age of the elder person is : | 0general |
sandy gets 3 marks for each correct sum and loses 2 marks for each incorrect sum . sandy attempts 30 sums and obtains 65 marks . how many sums did sandy get correct ? | 0general |
a person distributed 20 % of his income to his 3 children each . he deposited 25 % of his income to his wife ' s account . he donated 5 % of remaining amount to an orphan house . finally he has $ 40000 . find his total income ? | 2gain |
the average weight of 4 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 |
convert 0.38 in to a vulgar fraction ? | 1physics |
on selling 17 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is : | 2gain |
when tossed , a certain coin has equal probability of landing on either side . if the coin is tossed 5 times , what is the probability that it will land on either side all 5 times ? | 4probability |
the average of 10 numbers is 210 . the average of first 5 numbers is 40 and the average of last 4 numbers is 200 . what is the middle number ? | 0general |
a farmer spent $ 35 on feed for chickens and goats . he spent 40 % money on chicken feed , which he bought at a 10 % 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 ? | 2gain |
a rectangular swimming pool is 20 feet by 22 feet . a deck that has uniform width surrounds the pool . the total area of the pool and deck is 728 square feet . what is the width of the deck ? | 3geometry |
three numbers are in the ratio 3 : 4 : 5 and their l . c . m . is 240 . their h . c . f is ? | 5other |
a cistern is normally filled in 14 hours but takes two hours longer to fill because of a leak in its bottom . if the cistern is full , the leak will empty it in ? | 1physics |
the overall age of x and y is 15 year greater than the overall age of y and z . z is how many decades younger that x ? | 0general |
sachin is younger than rahul by 5 years . if the ratio of their ages is 7 : 9 , find the age of sachin | 5other |
two goods trains each 500 m long are running in opposite directions on parallel tracks . their speeds are 42 km / hr and 30 km / hr respectively . find the time taken by the slower train to pass the driver of the faster one ? | 1physics |
julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest . after two years she earned $ 128 and $ 140 from the simple interest account and the compound interest account respectively . if the interest rates for both accounts were the same , what was the amount of julie ' s initial savings ? | 2gain |
every student in a room is either a junior or a senior . there is at least one junior and at least one senior in the room . if 2 / 5 of the juniors is equal to 1 / 3 of the seniors , what fraction of the students in the room are juniors ? | 0general |
dominos charges $ 6.25 for a veg pizza of std size that costs a total of $ 2.85 to make . pizza hut charges $ 5.80 for a similar pizza that costs $ 1.80 to make . if dominos sells 2000 pizzas , how many must pizza hut sell to make at least as much in total gross profit as its competitor does ? | 0general |
a certain company reported that the revenue on sales increased 20 % from 2000 to 2003 , and increased 40 % from 2000 to 2005 . what was the approximate percent increase in revenue for this store from 2003 to 2005 ? | 2gain |
the average height of 30 students in a class was calculated as 175 cm . it has later found that the height of one of the students in the class was incorrectly written as 151 cm whereas the actual height was 136 cm . what was the actual average height of the students in the class ? | 0general |
how many integers are between 2 and 57 / 7 , inclusive ? | 0general |
mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 130 mangoes . | 2gain |
if 3 a – 2 b – 2 c = 32 and √ 3 a - √ ( 2 b + 2 c ) = 5 , what is the value of a + b + c ? | 0general |
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