Problem stringlengths 5 967 | category class label 6
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a mixture of 40 liters of milk and water contains 10 % water . how much water should be added to this so that water may be 20 % in the new mixture ? | 0general |
in the number 11,0 ab , a and b represent the tens and units digits , respectively . if 11,0 ab is divisible by 50 , what is the greatest possible value of b × a ? | 0general |
a trained covered x km at 40 kmph and another 2 x km at 20 kmph . find the average speed of the train in covering the entire 5 x km . | 0general |
riya and priya set on a journey . riya moves eastward at a speed of 21 kmph and priya moves westward at a speed of 22 kmph . how far will be priya from riya after 60 minutes | 1physics |
a family had dinner in a restaurant and paid $ 30 for food . they also had to pay 9.5 % sale tax and 10 % for the tip . how much did they pay for the dinner ? | 0general |
a man is 26 years older than his son . in two years , his age will be twice the age of his son . the present age of this son is | 0general |
the parameter of a square is equal to the perimeter of a rectangle of length 40 cm and breadth 20 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ? | 3geometry |
two trains 200 m and 300 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 ? | 1physics |
the manager at a health foods store mixes a unique superfruit juice cocktail that costs $ 1399.45 per litre to make . the cocktail includes mixed fruit juice and a ç ai berry juice , which cost $ 262.85 per litre and $ 3104.35 per litre , respectively . the manager has already opened 35 litres of the mixed fruit juice . how many litres of the a ç ai berry juice does he need to add ? | 0general |
when n is divided by 15 , the remainder is 8 . what is the remainder when 5 n is divided by 6 ? | 0general |
a number x is 18 times another number y . the percentage that y is less than x is | 0general |
a dozen eggs and 5 pounds of oranges are currently at the same price . if the price of a dozen eggs rises by 3 percent and the price of oranges rises by 6 % . how much more will it cost to buy a dozen eggs and 10 pounds of oranges . | 0general |
a number is said to be prime saturated if the product of all the different positive prime factors of a is less than the square root of a . what is the greatest two digit prime saturated integer ? | 5other |
the area of a circular field is 13.86 hectares . find the cost of fencing it at the rate of rs . 4.60 per metre . | 3geometry |
3 years ago the average age of a class of 6 members was 19 years . a boy have been added , the average age of the class is the same today . what is the age of the boy ? | 0general |
find the number of shares that can be bought for rs . 8200 if the market value is rs . 28 each with brokerage being 2.5 % . | 2gain |
if ( x + 3 ) ^ 2 / ( 3 x + 29 ) = 2 , then the difference between the two possible values of x is : | 0general |
a train 710 m long is running at a speed of 78 km / hr . if it crosses a tunnel in 1 min , then the length of the tunnel is ? | 1physics |
in a certain corporation , there are 300 male employees and 100 female employees . it is known that 20 % of the male employees have advanced degrees and 40 % of the females have advanced degrees . if one of the 400 employees is chosen at random , what is the probability this employee has an advanced degree or is female ? | 5other |
the price of 24 apples is equal to that of 28 oranges . the price of 45 apples and 60 oranges together is rs . 1350 . the total price of 30 apples and 40 oranges is | 0general |
rhoda tosses a coin 5 times . find the probability of getting exactly 4 heads . | 4probability |
if two of the 4 expressions x + y , x + 5 y , x - y , and 5 x - y are chosen at random , what is the probability r that their product will be of the form of x ^ 2 - ( by ) ^ 2 , where b is an integer ? | 0general |
25 binders can bind 1400 books in 21 days . how many binders will be required to bind 1600 books in 20 days ? | 1physics |
the amount of principal rs . 8000 at compound interest at the ratio of 5 % p . a . for 3 years is | 2gain |
the ratio of the capacity to do work of a and b is 3 : 2 . if they together can complete a work in 18 days , then how long does a take to complete the work alone ? | 1physics |
in a can , there is a mixture of milk and water in the ratio 4 : 5 . if it is filled with an additional 14 litres of milk the can would be full and ratio of milk and water would become 6 : 5 . find the capacity of the can ? | 0general |
the population of a town increased from 1 , 75000 to 2 , 97500 in a decade . the average percent increase of population per year is | 0general |
the workforce of company x is 40 % female . the company hired 20 additional male workers , and as a result , the percent of female workers dropped to 50 % . how many employees did the company have after hiring the additional male workers ? | 2gain |
the ratio of kamla and nisha is 6 : 5 and the sum of their ages is 44 . what will be the ratio of their ages after 8 years . | 0general |
two identical cubes if one of them is painted pink on its 4 side and blue on the remaining two side then how many faces painted pink to other cube so that probability of getting cube is 1 / 3 when we roll both the cube . | 5other |
due to construction , the speed limit along an 9 - mile section of highway is reduced from 55 miles per hour to 25 miles per hour . approximately how many minutes more will it take to travel along this section of highway at the new speed limit than it would have taken at the old speed limit ? | 1physics |
the cost price of a radio is rs . 2400 and it was sold for rs . 1980 , find the loss % ? | 2gain |
a couple spent $ 132 in total while dining out and paid this amount using a credit card . the $ 132 figure included a 20 percent tip which was paid on top of the price which already included a sales tax of 10 percent on top of the price of the food . what was the actual price of the food before tax and tip ? | 0general |
the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 14000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is : | 0general |
a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 3 inches wide on each side , the total area would have been ( m + 52 ) square inches . what is the perimeter of the photograph , in inches ? | 3geometry |
uncle bruce is baking chocolate chip cookies . he has 50 ounces of dough ( with no chocolate ) and 40 ounces of chocolate . how much chocolate is left over if he uses all the dough but only wants the cookies to consist of 30 % chocolate ? | 2gain |
in arun ' s opinion , his weight is greater than 61 kg but leas than 72 kg . his brother does not agree with arun and he thinks that arun ' s weight is greater than 60 kg but less than 70 kg . his mother ' s view is that his weight can not be greater than 64 kg . if all of them are correct in their estimation , what is the average of diferent probable weights of arun ? | 0general |
a and b together have $ 1210 . if of a ' s amount is equal to of b ' s amount , how much amount does b have ? | 0general |
what profit percent is made by selling an article at a certain price , if by selling at 2 / 3 rd of that price , there would be a loss of 20 % ? | 2gain |
what is the minimum value of | x - 4 | + | x + 6 | + | x - 5 | ? | 0general |
how many five - digit numbers that do not contain the digits 4 or 7 are there ? | 0general |
the larger interior angle of a parallelogram is 90 ° more than its smaller interior angle . what is the measure of the smaller interior angle of the parallelogram ? | 3geometry |
a train is 400 meter long is running at a speed of 60 km / hour . in what time will it pass a bridge of 800 meter length ? | 1physics |
a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 200 per month . what is his monthly salary ? | 0general |
the average height of 20 students is 20 cm and the average height of 11 students is 20 cm . what is the average height of the 31 students ? | 0general |
a certain ball team has an equal number of right - and left - handed players . on a certain day , two - thirds of the players were absent from practice . of the players at practice that day , two - third were left handed . what is the ratio of the number of right - handed players who were not at practice that day to the number of lefthanded players who were not at practice ? | 0general |
excluding the stoppages , the speed of a bus is 64 km / hr and including the stoppages the speed o the bus is 48 km / hr . for how many minutes does the bus stop per hour ? | 1physics |
what amount does an investor receive if the investor invests $ 3000 at 10 % p . a . compound interest for two years , compounding done annually ? | 2gain |
a fruit seller sells mangoes at the rate of rs . 12 per kg and thereby loses 15 % . at what price per kg , he should have sold them to make a profit of 5 % | 2gain |
a sells a bicycle to b and makes a profit of 35 % . b sells the same bicycle to c at a profit of 45 % . if the final s . p . of the bicycle was rs . 225 , find out the cost price of the bicycle for a . | 2gain |
how many zeros does 10 ! end with ? | 5other |
find the value of y from ( 12 ) ^ 2 x 6 ^ 4 ÷ 432 = y ? | 0general |
find the simple interest on rs . 5000 at 6 % per annum for the period from 5 th feb to 19 th april , 2015 . | 2gain |
a train passes a station platform in 36 sec and a man standing on the platform in 20 sec . if the speed of the train is 36 km / hr . what is the length of the platform ? | 1physics |
car a runs at the speed of 42 km / hr & reaches its destination in 6 hr . car b runs at the speed of 52 km / h & reaches its destination in 9 h . what is the respective ratio of distances covered by car a & car b ? | 1physics |
the speed of a car is 90 km in the first hour and 55 km in the second hour . what is the average speed of the car ? | 1physics |
by selling 15 pencils for a rupee a man loses 25 % . how many for a rupee should he sell in order to gain 25 % ? | 2gain |
find the remainder of the division ( 3 ^ 14 ) / 4 . | 0general |
a certain machine produces 850 units of product p per hour . working continuously at this constant rate , this machine will produce how many units of product p in 7 days ? | 1physics |
the area of a circular field is 17.56 hectares . find the cost of fencing it at the rate of rs . 5 per metre approximately | 3geometry |
a contractor undertakes to built a walls in 50 days . he employs 70 peoples for the same . however after 25 days he finds that only 40 % of the work is complete . how many more man need to be employed to complete the work in time ? | 1physics |
a number is said to be prime saturated if the product of all the different positive prime factors of n is less than the square root of n . what is the greatest two digit prime saturated integer ? | 5other |
in how many no . between 10 and 40 exactly two of the digits is 4 ? | 0general |
10 people went to a hotel for combine dinner party 8 of them spent rs . 10 each on their dinner and rest spent 4 more than the average expenditure of all the 10 . what was the total money spent by them . | 0general |
a carpenter worked alone for 1 day on a job that would take him 6 more days to finish . he and another carpenter completed the job in 5 more days . how many days would it have taken the second carpenter to do the complete job working alone ? | 1physics |
find the least number of five digits which is exactly divisible by 12 and 18 ? | 0general |
how many odd prime numbers are there less than 75 ? | 0general |
a is twice as good a workman as b and they took 7 days together to do the work b alone can do it in . | 1physics |
if x is a positive integer with fewer than 3 digits , what is the probability that c x * ( x + 1 ) is a multiple of either 4 or 5 ? | 0general |
if the cost price of 65 chocolates is equal to the selling price of 50 chocolates , the gain percent is : | 2gain |
a train , 155 meters long travels at a speed of 45 km / hr crosses a bridge in 30 seconds . the length of the bridge is | 1physics |
sachin is younger than rahul by 7 years . if the ratio of their ages is 7 : 9 , find the age of sachin | 5other |
the present population of a town is 500 . population increase rate is 10 % p . a . find the population of town before 2 years ? | 2gain |
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 5,000 and at the same time n is a perfect square and a perfect cube ? | 3geometry |
the price of commodity x increases by 30 cents every year , while the price of commodity y increases by 20 cents every year . if in 2001 , the price of commodity x was $ 4.20 and the price of commodity y was $ 4.40 , in which year will commodity x cost 90 cents more than the commodity y ? | 0general |
shawn invested one half of his savings in a bond that paid simple interest for 2 years and received $ 650 as interest . he invested the remaining in a bond that paid compound interest , interest being compounded annually , for the same 2 years at the same rate of interest and received $ 725 as interest . what was the value of his total savings before investing in these two bonds ? | 2gain |
at joel ’ s bookstore , the current inventory is 40 % historical fiction . of the historical fiction books , 40 % are new releases , while 70 % of the other books are new releases . what fraction of all new releases are the historical fiction new releases ? | 2gain |
10 years ago , the age of anand was one - third the age of bala at that time . the present age of bala is 10 years more than the present age of anand . find the present age of anand ? | 0general |
the average of 10 numbers is 40.2 . later it is found that two numbers have been wrongly copied . the first is 17 greater than the actual number and the second number added is 13 instead of 31 . find the correct average . | 0general |
nails and screws are manufactured at a uniform weight per nail and a uniform weight per screw . if the total weight of one screw and one nail is half that of 6 screws and one nail , then the total weight of 3 screws , and 3 nails is how many times that of 4 screws and 2 nails ? | 0general |
the length of a room is 5.5 m and width is 3.75 m . find the cost of paving the floor by slabs at the rate of rs . 1200 per sq . metre . | 1physics |
15 men take 21 days of 8 hrs . each to do a piece of work . how many days of 6 hrs . each would it take for 21 women if 3 women do as much work as 2 men ? | 1physics |
4 brothers adam , bill , charles and david together contributed certain amount of money and purchased a car . the contribution made by adam is half that of the total contribution made by the other 3 brothers , contribution made by bill is one - fourth of the total contribution made by the other 3 brothers and the contribution made by charles is two - third of the total contribution made by the other 3 brothers . if the total price of the car is $ 9750 , find the contribution made by david . | 0general |
share rs . 6000 among john , jose & binoy in the ration 2 : 4 : 6 . find the amount received by john ? | 5other |
a worker makes a toy in every 2 h . if he works for 120 h , then how many toys will he make ? | 1physics |
find the sum of all odd numbers up to 100 . | 0general |
there are , in a certain league , 20 teams , and each team face another team for a total of 4 times . how many games are played in the season ? | 0general |
if p ( a ) = 2 / 15 , p ( b ) = 4 / 15 , and p ( a â ˆ ª b ) = 12 / 15 find p ( b | a ) | 0general |
the water level in a rectangular swimming pool measuring 20 feet by 25 feet is to be lowered by 6 inches . how many gallons of water must be removed ? ( 1 cu ft = 7.5 gallons ) | 3geometry |
a man buys rs . 20 shares paying 9 % dividend . the man wants to have an interest of 12 % on his money . the market value of each share is : | 2gain |
a car travels first 160 km at 75 km / hr and the next 160 km at 90 km / hr . what is the average speed for the first 320 km of the tour ? | 0general |
a , b and c have rs . 500 between them , a and c together have rs . 200 and b and c rs . 360 . how much does c have ? | 0general |
if each participant of a chess tournament plays exactly one game with each of the remaining participants , then 190 games will be played during the tournament . what is the number of participants ? | 0general |
a certain number of men can finish a piece of work in 10 days . however , if there were 10 less men it will take 10 days more for the work to be finished . how many men were there originally ? | 1physics |
find the average of all numbers between 4 and 34 which are divisible by 5 | 0general |
how can a cake ( circular ) be cut into 8 pieces by making just 3 cuts ? | 3geometry |
the bankers discount of a certain sum of money is rs . 72 and the true discount on the same sum for the same time is rs . 60 . the sum due is : | 2gain |
the length of a room is 5.5 m and width is 3.75 m . find the cost of paying the floor by slabs at the rate of rs . 1000 per sq . metre . | 1physics |
find the value of x in [ ( 17.28 / x ) / ( 3.6 * 0.2 ) ] = 2 | 0general |
set a contains all the even numbers between 22 and 70 inclusive . set b contains all the even numbers between 62 and 110 inclusive . what is the difference between the sum of elements of set b and the sum of the elements of set a ? | 0general |
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