Problem stringlengths 5 967 | category class label 6
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the ratio of three numbers is 2 : 3 : 5 and their sum is 150 . the second number of the three numbers is ? | 5other |
10 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 3213 , how much was it in the beginning ? | 0general |
a jogger running at 9 km / hr along side a railway track is 180 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ? | 0general |
4 mat - weavers can weave 4 mats in 4 days . at the same rate , how many mats would be woven by 6 mat - weavers in 6 days ? | 2gain |
nitin ranks 12 th in a class of 56 students . what is rank from the last ? | 5other |
find the cost of fencing around a circular field of diameter 40 m at the rate of rs . 3 a meter ? | 1physics |
tickets to a certain concert sell for $ 20 each . the first 10 people to show up at the ticket booth received a 40 % discount , and the next 20 received a 15 % discount . if 50 people bought tickets to the concert , what was the total revenue from ticket sales ? | 2gain |
x + ( 1 / x ) = 1.5 find x ^ 2 + ( 1 / x ^ 2 ) | 0general |
the volume of a sphere with radius r is ( 4 / 3 ) * pi * r ^ 3 and the surface area is 4 * pi * r ^ 3 . if a sperical balloon has a volume of 36 pi cubic centimeters , what is hte surface area of the balloon in square centimeters ? | 3geometry |
a soccer store typically sells replica jerseys at a discount of 30 percent to 40 percent off list price . during the annual summer sale , everything in the store is an additional 20 percent off the original list price . if a replica jersey ' s list price is $ 80 , approximately what percent of the list price is the lowest possible sale price ? | 0general |
at a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint . verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint . how many liters of yellow paint must be added to 35 liters of forest green to change it to verdant green ? | 0general |
find the value of a / b + b / a , if a and b are the roots of the quadratic equation x 2 + 12 x + 3 = 0 ? | 0general |
p can do a work in the same time in which q and r together can do it . if p and q work together , the work can be completed in 10 days . r alone needs 60 days to complete the same work . then q alone can do it in | 1physics |
the total age of a and b is 12 years more than the total age of b and c . c is how many year younger than a ? | 0general |
there are 1000 students in a school and among them 25 % of them attends chess class . 50 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ? | 2gain |
the temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 ( 2 ^ - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 60 minutes after it was poured was how many degrees fahrenheit ? | 0general |
the edges of three iron cubes are 6 cm ; 8 cm ; 10 cm respectively . a new cube was made by melting them . find the edge of the new cube ? | 1physics |
the average weight of 8 person ' s increases by 2.5 kg when a new person comes in place of one of them weighing 65 kg . what might be the weight of the new person ? | 0general |
if a and b get profits of rs . 5,000 and rs . 2,000 respectively at the end of year then ratio of their investments are | 2gain |
someone on a skateboard is traveling 5 miles per hour . how many feet does she travel in 45 seconds ? ( 1 mile = 5280 feet ) | 1physics |
a computer manufacturer produces a certain electronic component at a cost of $ 70 per component . shipping costs for delivering the components are $ 4 per unit . further , the manufacturer has costs of $ 14,500 a month related to the electronic component regardless of how many it produces . if the manufacturer produces and sells 250 components a month , what is the lowest price it can sell them for such that the costs do n ' t exceed the revenues ? | 0general |
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 20 seconds . the ratio of their speeds is ? | 1physics |
a bucket contains 2 mixtures a and b in the ratio 7 : 5 . if 9 liters of the mixture is replaced by 9 liters of liquid b , then the ratio of the two liquids becomes 7 : 9 . how much of the liquid a was there in the bucket ? | 0general |
jane makes toy bears . when she works with an assistant , she makes 53 percent more bears per week and works 10 percent fewer hours each week . having an assistant increases jane ’ s output of toy bears per hour by what percent ? | 1physics |
two numbers are in the ratio of 1 : 2 . if 5 be added to both , their ratio changes to 3 : 5 . the greater number is | 5other |
if 60 % of 3 / 5 of a number is 72 , then the number is ? | 2gain |
the cost to park a car in a certain parking garage is $ 12.00 for up to 2 hours of parking and $ 1.75 for each hour in excess of 2 hours . what is the average ( arithmetic mean ) cost per hour to park a car in the parking garage for 9 hours ? | 0general |
in a certain large company , the ratio of college graduates with a graduate degree to non - college graduates is 1 : 8 , and ratio of college graduates without a graduate degree to non - college graduates is 2 : 3 . if one picks a random college graduate at this large company , what is the probability t this college graduate has a graduate degree ? | 5other |
walking with 4 / 5 of my usual speed , i arrive at the bus stop 6 minutes later than normal . how many minutes does it take to walk to the bus stop at my usual speed ? | 1physics |
with both valves open , the pool will be filled with water in 48 minutes . the first valve alone would fill the pool in 2 hours . if the second valve emits 50 cubic meters of water more than the first every minute , then what is the capacity t of the pool ? | 1physics |
convert 500 miles to km ? | 1physics |
audrey 4 hours to complete a certain job . ferris can do the same job in 3 hours . audrey and ferris decided to collaborate on the job , working at their respective rates . while audrey worked continuously , ferris took 4 breaks of equal length . if the two completed the job together in 2 hours , how many minutes long was each of ferris ’ breaks ? | 1physics |
each week a restaurant serving mexican food uses the same volume of chili paste , which comes in either 25 - ounce cans or 15 - ounce cans of chili paste . if the restaurant must order 30 more of the smaller cans than the larger cans to fulfill its weekly needs , then how manysmallercans are required to fulfill its weekly needs ? | 0general |
a man purchased 3 blankets @ rs . 100 each , 5 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 . 160 . find the unknown rate of two blankets ? | 0general |
a 300 meter long train crosses a platform in 30 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ? | 1physics |
how many different values of positive integer x , for which | x + 6 | < x , are there ? | 0general |
two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . if the faster train passes the slower train in 36 seconds , what is the length of each train ? | 0general |
convert the 9 / 36 m / s into kilometers per hour ? | 1physics |
in what time will a train 120 m long cross an electric pole , it its speed be 160 km / hr ? | 1physics |
all the faces of cubes are painted with red colour . it is then cut into 64 equal small cubes . find how many small cubes are there whose two adjacent faces are coloured red ? | 3geometry |
a 300 metre long train crosses a platform in 39 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ? | 1physics |
marketing executives for a certain chewing gum company projected a 30 percent increase in revenue this year over that of last year , but revenue this year actually decreased by 25 % . what percent of the projected revenue was the actual revenue ? | 0general |
a train 360 m long runs with a speed of 45 km / hr . what time will it take to pass a platform of 190 m long ? | 1physics |
find large number from below question the difference of two numbers is 2500 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder | 0general |
248 : 3 : : 328 : ? | 0general |
which number should replace both the asterisks in ( * / 18 ) x ( * / 72 ) = 1 ? | 0general |
the triplicate ratio of 1 : 5 is ? | 5other |
in a 500 m race , the ratio of the speeds of two contestants a and b is 3 : 4 . a has a start of 200 m . then , a wins by : | 1physics |
a certain shade of gray paint is obtained by mixing 3 parts of white paint with 5 parts of black paint . if 2 gallons of the mixture is needed and the individual colors can be purchased only in one gallon or half gallon cans , what is the least amount q of paint , in gallons , that must be purchased in order to measure out the portions needed for the mixture ? | 0general |
a and b are two multiples of 14 , and q is the set of consecutive integers between a and b , inclusive . if q contains 9 multiples of 14 , how many multiples of 7 are there in q ? | 1physics |
express a speed of 66 kmph in meters per second ? | 1physics |
a man buys a cycle for rs . 1600 and sells it at a loss of 15 % . what is the selling price of the cycle ? | 2gain |
the parameter of a square is equal to the perimeter of a rectangle of length 8 cm and breadth 6 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . | 3geometry |
a tempo is insured to an extent of 5 / 7 of its original value . if the premium on it at the rate of 3 % amounts to $ 300 , the original value of the tempo is ? | 2gain |
last year department store x had a sales total for december that was 3 times the average ( arithmetic mean ) of the monthly sales totals for january through november . the sales total for december was what fraction of the sales total for the year ? | 0general |
if a - b = 3 and a ^ 2 + b ^ 2 = 29 , find the value of ab | 0general |
the ratio of the cost price and selling price is 4 : 5 . the profit percent is ? | 2gain |
farm tax is levied on the 50 % of the cultivated land . the tax department collected total $ 3840 through the farm tax from the village of mr . willam . mr . willam paid only $ 480 as farm tax . the percentage of total land of mr . willam over the total taxable land of the village is : | 0general |
the difference between the local value and the face value of 7 in the numeral 32675149 is | 0general |
how many even 4 - digit numbers can be formed , so that the numbers are divisible by 4 and no two digits are repeated ? | 0general |
317 x 317 + 283 x 283 = ? | 0general |
two trains are running in opposite directions in the same speed . the length of each train is 120 meter . if they cross each other in 36 seconds , the speed of each train ( in km / hr ) is | 1physics |
two different primes may be said torhymearound an integer if they are the same distance from the integer on the number line . for instance , 3 and 7 rhyme around 5 . what integer r between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ? | 1physics |
pumps a , b , and c operate at their respective constant rates . pumps a and b , operating simultaneously , can fill a certain tank in 2 hours ; pumps a and c , operating simultaneously , can fill the tank in 3 / 2 hours ; and pumps b and c , operating simultaneously , can fill the tank in 2 hours . how many hours does it take pumps a , b , and c , operating simultaneously , to fill the tank . | 1physics |
how many even number in the range between 8 to 100 inclusive are not divisible by 3 | 0general |
in a group of 100 people , 50 like reading books , 20 like both reading books and listening songs . how many like listening songs ? | 5other |
a man rows his boat 90 km downstream and 72 km upstream , taking 3 hours each time . find the speed of the stream ? | 1physics |
there are 97 lights which are functional and each is controlled by a separate on / off switch . two children a and b start playing with the switches . a starts by pressing every third switch till he reaches the end . b , thereafter , presses every fifth switch till he too reaches the end . if all switches were in off position at the beggining , how many lights are switched on by the end of this operation ? | 5other |
the product of two consecutive odd no is - 1 , then what is the value of the sum of them . | 0general |
to fill a tank , 10 buckets of water is required . how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to two - fifth of its present ? | 1physics |
if 30 oxen can plough 1 / 7 th of a field in 2 days , how many days 18 oxen will take to do the remaining work ? | 1physics |
how many two - element subsets of { 6,7 , 8,9 } are there that do not contain the pair of elements 8 and 9 ? | 0general |
one fourth of a solution that was 10 % sugar by weight was replaced by a second solution resulting in a solution that was 14 percent sugar by weight . the second solution was what percent sugar by weight ? | 2gain |
two - fifth of one - third of 3 - seventh of a number is 15 . what is 40 % of that number ? | 2gain |
when 52416 is divided by 312 , the quotient is 168 . what will be the quotient when 522.416 is divided by 0.0168 ? | 0general |
there are 69 people that own pets . 15 people own only dogs , 10 people own only cats , 5 people own only cats and dogs , 3 people own cats , dogs and snakes . how many total snakes are there ? | 0general |
an employee ’ s annual salary was increased $ 25,000 . if her new annual salary now equals $ 90,000 , what was the percent increase ? | 0general |
30 men can do a work in 40 days . when should 15 men leave the work so that the entire work is completed in 40 days after they leave the work ? | 1physics |
a car averages 70 mph for the first 4 hours of a trip and averages 60 mph for each additional hour . the average speed for the entire trip was 65 mph . how many hours long is the trip ? | 0general |
the speed of the boat in still water in 12 kmph . it can travel downstream through 39 kms in 3 hrs . in what time would it cover the same distance upstream ? | 1physics |
if n = 7 ^ 11 – 7 , what is the units digit of n ? | 0general |
in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 14 cars and that every fuel tank contains 55 liters and they are all empty , how much money total will it cost to fuel all cars ? | 0general |
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 14 feet between each tree . how many trees can be planted if the road is 151 feet long ? | 3geometry |
the maitre ' d at an expensive manhattan restaurant has noticed that 60 % of the couples order dessert and coffee . however , 20 % of the couples who order dessert do n ' t order coffee . what is the probability q that the next couple the maitre ' d seats will not order dessert ? | 4probability |
the product of two numbers is 120 and the sum of their squares is 289 . the sum of the number is : | 0general |
when tom works alone he chops 2 lb . salad in 3 minutes , and when tammy works alone she chops 3 lb . salad in 2 minutes . they start working together , and after some time finish chopping 65 lb . of salad . of those 80 lb . , the salad quantity chopped by tammy is what percent greater than the quantifying chopped by tom ? . | 1physics |
the population of a town is 8000 . it decreases annually at the rate of 10 % p . a . what will be its population after 3 years ? | 2gain |
a reduction of 30 % in the price of salt enables a lady to obtain 10 kgs more for rs . 100 , find the original price per kg ? | 2gain |
what is the sum of all the even numbers between 31 and 99 , inclusive ? | 0general |
a certain farmer pays $ 30 per acre per month to rent farmland . how much does the farmer pay per month to rent a rectangular plot of farmland that is 1080 feet by 605 feet ? ( 43,560 square feet = 1 acre ) | 3geometry |
according to the formula f = 9 / 5 ( c ) + 32 , if the temperature in degrees farenheit ( f ) increases by 25 , by how much does the temperature in degrees celsius ( c ) increase ? | 0general |
kamal obtained 76 , 60 , 72 , 65 and 82 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ? | 0general |
a person buys an article at rs . 550 . at what price should he sell the article so as to make a profit of 30 % ? | 2gain |
an article with cost price of 280 is sold at 30 % profit . what is the selling price ? | 2gain |
john can type a set of pages in 5 hours at a constant rate . if john types for 3 hours and jack does the rest of the job , who works at 2 / 5 constant rate of john . how long will it take for jack alone to do the rest of the job ? | 1physics |
a trader mixes 80 kg of tea at 15 per kg with 20 kg of tea at cost price of 20 per kg . in order to earn a profit of 30 % , what should be the sale price of the mixed tea ? | 2gain |
two persons a and b can complete a piece of work in 15 days and 30 days respectively . if they work together , what part of the work will be completed in 5 days ? | 1physics |
the temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 ( 2 ^ - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 50 minutes after it was poured was how many degrees fahrenheit ? | 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 40 ° c , what is the temperature of the pot of water in ° f ? | 1physics |
the number of natural numbers n such that ( n + 1 ) ^ 2 / ( n + 7 ) is an integer , is ? | 0general |
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