Problem stringlengths 5 967 | category class label 6
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a and b together can do a work in 6 days . if a alone can do it in 15 days . in how many days can b alone do it ? | 1physics |
the sum of present age of abe and the age before 7 years is 27 . find the present age of abe . what will be his age after 7 years ? | 0general |
a , b and c invested rs . 6600 , rs . 4400 and rs . 11000 respectively , in a partnership business . find the share of a in profit of rs . 12100 after a year ? | 2gain |
a man drive his car to the office at 20 miles / hr . after reaching office , he realize that its a new year holiday so he went back home at a speed of 30 miles / hr . discounting the time spent in the stoppage what was his average speed of his journey ? | 1physics |
walking 7 / 6 of his usual rate , a boy reaches his school 4 min early . find his usual time to reach the school ? | 2gain |
find the principle on a certain sum of money at 5 % per annum for 2 2 / 5 years if the amount being rs . 896 ? | 0general |
a number is said to be prime saturated if the product of all the different positive prime factors of g is less than the square root of g . what is the greatest two digit prime saturated integer ? | 5other |
a person saved $ 10 in buying an item on sale . if he spent $ 600 for the item , approximately how much percent he saved in the transaction ? | 0general |
an article is bought for rs . 705 and sold for rs . 900 , find the gain percent ? | 2gain |
what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 10 % ? | 3geometry |
how many positive integers less than 500 can be formed using the numbers 1 , 2,3 , and 5 for digits , each digit being used only once . | 4probability |
a certain clock marks every hour by striking a number of times equal to the hour , and the time require for a stroke is exactly equal to the time interval between strokes . at 6 : 00 the time lapse between the beginning of the first stoke and the end of the last stroke is 22 seconds . at 11 : 00 , how many seconds elapse between the beginning of the first stroke and the end of the last stroke ? | 0general |
the length of a rectangle is 5 more than the width . what are the dimensions of the rectangle if the perimeter is 34 ? | 3geometry |
if there are only 2 wheelers and 4 wheelers parked in a school located at the heart of the city , find the number of 4 wheelers parked there if the total number of wheels is 54 ? | 0general |
a train passes a train standing in platform in 30 sec and a man standing on the platform in 12 sec . if the speed of the train is 36 km / hr . what is the length of the platform ? | 1physics |
what is the tenth digit of ( 4 ! * 3 ! + 4 ! * 2 ! ) / 3 ? | 0general |
bullock likes to keep a spare tyre in his car every time . on a certain day , he travels 1 , 60,000 km and just to make the most of all the tyres , he changes the tyres between his journey such that each tyre runs the same distance . what is the distance traveled by each tyre ? | 1physics |
what is the remainder when 10 ^ 49 + 2 is divided by 11 ? | 0general |
39 ! is divided by 41 then find the remainder ? | 5other |
evaluate : 60 - 9 ÷ 3 × 6 = | 0general |
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 20 % , what should be the sale price of the mixed tea ? | 2gain |
the difference between the value of a number increased by 12.5 % and the value of the original number decreased by 25 % is 30 . what is the original number w ? | 0general |
uncle bruce is baking chocolate chip cookies . he has 36 ounces of dough ( with no chocolate ) and 12 ounces of chocolate . how many ounces of chocolate are left over if he uses all the dough but only wants the cookies to consist of 20 % chocolate ? | 2gain |
approximately how many cubic feet of water are needed to fill a circular swimming pool that is 70 feet across and 9 feet deep ? | 3geometry |
an empty wooden vessel weighs 14 % of its total weight when filled with paint . if the weight of a partially filled vessel is one half that of a completely filled vessel , what fraction of the vessel is filled . | 2gain |
23 , 29 , 31 , 37 , 41 , 43 , 47 , 53 , 59 , ( . . . ) | 0general |
the arithmetic mean and standard deviation of a certain normal distribution are 12 and 1.2 , respectively . what value is exactly 2 standard deviations less than the mean ? | 0general |
for what value of â € œ k â € will the equation ( 2 kx 2 + 4 kx + 2 ) = 0 have equal roots ? | 0general |
a is the average ( arithmetic mean ) of the first 7 positive multiples of 7 and b is the median of the first 3 positive multiples of positive integer n . if the value of a ^ 2 – b ^ 2 is zero , what is the value of n ? | 0general |
find the highest common factor of 36 and 84 ? | 5other |
the area of a base of a cone is 30 cm 2 . if the height of the cone is 6 cm , find its volume ? | 3geometry |
an order was placed for a carpet whose length and width were in the ratio of 3 : 2 . subsequently , the dimensions of the carpet were altered such that its length and width were in the ratio 3 : 1 but were was no change in its perimeter . what is the ratio of the areas of the carpets ? | 3geometry |
what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 8 ? | 0general |
find the average of all the numbers between 11 and 36 which are divisible by 5 | 0general |
a , b , c subscribe rs . 50000 for a business . a subscribes rs . 4000 more than b and b rs . 5000 more than c . out of a total profit of rs . 35000 a receives : | 0general |
one hour before john started walking from p to q , a distance of 28 miles , ann had started walking along the same road from q to p . ann walked at a constant speed of 3 miles per hour and john at 2 miles per hour . how many miles had ann walked when they met ? | 1physics |
roses can be purchased individually for $ 4.50 , one dozen for $ 36 , or two dozen for $ 50 . what is the greatest number of roses that can be purchased for $ 680 ? | 0general |
the population of a town is 10000 . it increases annually at the rate of 10 % p . a . what will be its population after 2 years ? | 2gain |
set a contains all the even numbers between 8 and 50 inclusive . set b contains all the even numbers between 108 and 150 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ? | 0general |
john makes $ 45 a week from his job . he earns a raise andnow makes $ 75 a week . what is the % increase ? | 2gain |
pipe a can fill a tank in 12 hours . due to a leak at the bottom it takes 20 hours to fill the tank . in what time the leak alone can empty the full tank ? | 1physics |
find 30 % of 240 | 2gain |
11 cubic centimetres of silver is drawn into a wire 1 mm in diameter . the length of the wire in metres will be : | 1physics |
the length of a rectangle is one - fourth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1225 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ? | 3geometry |
what sum of money will produce rs . 70 as simple interest in 4 years at 2 1 / 2 percent ? | 2gain |
if 2 / z = 2 / ( z + 1 ) + 2 / ( z + 16 ) which of these integers could be the value of z ? | 0general |
the area of a square is equal to five times the area of a rectangle of dimensions 50 cm * 10 cm . what is the perimeter of the square ? | 3geometry |
a truck covers a distance of 360 km at a certain speed in 8 hours . how much time would a car take at an average speed which is 18 kmph more than that of the speed of the truck to cover a distance which is 14 km more than that travelled by the truck ? | 1physics |
the average speed of a car decreased by 3 miles per hour every successive 8 - minutes interval . if the car traveled 3.6 miles in the fifth 8 - minute interval , what was the average speed of the car , in miles per hour , in the first 8 minute interval ? | 1physics |
a took 15 seconds to cross a rectangular field diagonally walking at the rate of 52 m / min and b took the same time to cross the same field along its sides walking at the rate of 68 m / min . the area of the field is ? | 3geometry |
a geometric shape is obtained by combining a square of side 8 cm and a semicircle of diameter 8 cm . what is the perimeter of the shape obtained ? | 3geometry |
the simple interest on a certain sum of money for 2 years at 10 % per annum is half the compound interest on $ 100 for 2 years at 5 % per annum . the sum placed on simple interest is ? | 2gain |
redo ’ s manufacturing costs for sets of horseshoes include a $ 10,500 initial outlay , and $ 15 per set . they can sell the sets $ 40 . if profit is revenue from sales minus manufacturing costs , and the company producessells 500 sets of horseshoes , what was their profit ? | 2gain |
find the highest value of ' a ' so that 365 a 16 is divisible by 8 . | 0general |
if 15 men can reap 80 hectares in 24 days , then how many hectares can 36 men reap in 30 days ? | 1physics |
in a office work is distribute between p persons . if 1 / 8 members are absent then work increased for each person is ? | 0general |
if a * b * c = 65 , b * c * d = 65 , c * d * e = 1000 and d * e * f = 250 the ( a * f ) / ( c * d ) = ? | 0general |
a man buys a cycle for rs . 1400 and sells it at a loss of 20 % . what is the selling price of the cycle ? | 2gain |
in one alloy there is 12 % chromium while in another alloy it is 8 % . 15 kg of the first alloy was melted together with 35 kg of the second one to form a third alloy . find the percentage of chromium in the new alloy . | 2gain |
in may mrs lee ' s earnings were 90 percent of the lee family ' s total income . in june mrs lee earned 20 percent more than in may . if the rest of the family ' s income was the same both months , then , in june , mrs lee ' s earnings were approximately what percent of the lee family ' s total income ? | 0general |
? % of 360 = 165.6 | 2gain |
find the simple interest on $ 6000 at 15 % per annum for 9 months ? | 2gain |
how many integers between 324,805 and 458,705 have tens digit 1 and units digit 3 ? | 0general |
a container contains 40 liters of milk , from this container 4 liters of milk was taken out and replaced by water . this process was repeated further 2 times . how much milk is now contained by the container ? | 0general |
solve the quickfire maths brain teaser â ˆ š 25 % = ? | 2gain |
a satellite is composed of 24 modular units , each of which is equipped with a set of sensors , some of which have been upgraded . each unit contains the same number of non - upgraded sensors . if the number of non - upgraded sensors on one unit is 1 / 3 the total number of upgraded sensors on the entire satellite , what fraction of the sensors on the satellite have been upgraded ? | 0general |
tom drives from town a to town b , driving at a constant speed of 60 miles per hour . from town b tom immediately continues to town c . the distance between a and b is twice the distance between b and c . if the average speed of the whole journey was 36 mph , then what is tom ' s speed driving from b to c in miles per hour ? | 1physics |
the average ( arithmetic mean ) of 22 , 33 , and 53 is 8 less than the average of 30 , 56 , and x . what is x ? | 0general |
how many 3 - digit numbers are completely divisible 6 ? | 0general |
1 , 6 , 16 , 31 , 51 , ( . . . . ) | 0general |
in a public show 60 % of the seats were filled . if there were 600 seats in the hall , how many seats were vacant ? | 2gain |
what is the decimal equivalent of ( 1 / 10 ) ^ 2 ? | 0general |
for a bake sale , simon baked 2 n more pies than theresa . theresa baked half as many pies as roger , who baked 1313 n pies . no other pies were baked for the sale . what fraction of the total pies for sale did roger bake ? | 0general |
sarah is driving to the airport . after driving at 50 miles per hour for one hour , she realizes that if she continues at that same average rate she will be an hour late for her flight . she then travels 100 miles per hour for the rest of the trip , and arrives 30 minutes before her flight departs . how many miles did she drive in all ? | 1physics |
two trains a and b are 225 m and 150 m long and are moving at one another at 54 km / hr and 36 km / hr respectively . arun is sitting on coach b 1 of train a . calculate the time taken by arun to completely cross train b . | 1physics |
a gardener grows cabbages in her garden that is in the shape of a square . each cabbage takes 1 square feet of area in her garden . this year , she has increased her output by 199 cabbages as compared to last year . the shape of the area used for growing the cabbages has remained a square in both these years . how many cabbages did she produce this year ? | 3geometry |
if x , y , and z are positive integers and x = 4 y = 7 z , then the least possible value of x - y - z is | 0general |
one hour after yolanda started walking from x to y , a distance of 80 miles , bob started walking along the same road from y to x . if yolanda â s walking rate was 8 miles per hour and bob â s was 9 miles per hour , how many miles had bob walked when they met ? | 1physics |
a boat can travel with a speed of 13 km / hr in still water . if the speed of the stream is 5 km / hr . find the time taken by the boat to go 68 km downstream ? | 1physics |
the speed of a train is 94 kmph . what is the distance covered by it in 12 minutes ? | 1physics |
if 5 machines can produce 20 units in 10 hours , how long would it take 20 machines to produce 180 units ? | 1physics |
a worker ' s daily wage is increased by 50 % and the new wage is $ 51 per day . what was the worker ' s daily wage before the increase ? | 1physics |
in an election , candidate douglas won 60 percent of the total vote in counties x and y . he won 72 percent of the vote in county x . if the ratio of people who voted in county x to county y is 2 : 1 , what percent of the vote did candidate douglas win in county y ? | 0general |
a ferry can transport 50 tons of vehicles . automobiles range in weight from 1600 to 3200 pounds . what is the greatest number of automobiles that can be loaded onto the ferry ? | 0general |
how much time does a train 150 metres long running at 54 km / hr take to pass a pole ? | 0general |
the cash realised on selling a 14 % stock is rs . 104.25 , brokerage being 1 / 4 % is | 0general |
by selling 12 pencils for a rupee a man loses 12 % . how many for a rupee should he sell in order to gain 18 % ? | 2gain |
ages of two persons differ by 4 years . if 3 years ago , the elder one was 3 times as old the younger one , find their present age | 0general |
a type of extra - large suv averages 12.2 miles per gallon ( mpg ) on the highway , but only 7.6 mpg in the city . what is the maximum distance , in miles , that this suv could be driven on 23 gallons of gasoline ? | 0general |
if 12 men or 20 women can do a piece of work in 54 days , then in how many days can 9 men and 21 women together do the work ? | 1physics |
a man sold 20 articles for $ 60 and gained 20 % . how many articles should he sell for $ 70 to incur a loss 20 % ? | 2gain |
solution p is 20 percent lemonade and 80 percent carbonated water by volume ; solution q is 45 percent lemonade and 55 percent carbonated water by volume . if a mixture of pq contains 60 percent carbonated water , what percent of the volume of the mixture is p ? | 2gain |
how many integers from 0 to 50 inclusive have a remainder of 3 when divided by 11 ? | 0general |
find a positive number which when increased by 17 is equal to 60 times the reciprocal of the number . | 0general |
the largest five digit number which is a perfect cube , is : | 3geometry |
in one hour , a boat goes 15 km / hr along the stream and 11 km / hr against the stream . the speed of the boat in still water ( in km / hr ) is : | 1physics |
a no . when divided by the sum of 555 and 445 gives 2 times their difference as quotient & 80 as remainder . find the no . is ? | 0general |
the sum of two number is 120 and their difference is 30 . find the numbers . | 0general |
the prices of tea and coffee per kg were the same in june . in july the price of coffee shot up by 10 % and that of tea dropped by 20 % . if in july , a mixture containing equal quantities of tea and coffee costs 50 / kg . how much did a kg of coffee cost in june ? | 0general |
a dishonest person wants to make a profit on the selling of milk . he would like to mix water ( costing nothing ) with milk costing 33 $ per litre so as to make a profit of 30 % on cost when he sells the resulting milk and water mixture for 36 $ . in what ratio should he mix the water and milk ? | 2gain |
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