rootacess/math-qa-classification · Datasets at Hugging Face

Problem stringlengths 5 967	category class label 6 classes
denominator of a number is 4 less than the numerator . if 6 is added to the numerator , it becomes 3 times the denominator . find the denominator .	0general
if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 3 - m ) then m = ?	0general
a rectangular paper when folded into two congruent parts had a perimeter of 34 cm foer each part folded along one set of sides and the same is 38 cm . when folded along the other set of sides . what is the area of the paper ?	3geometry
given a certain number ( x ) , find x given that 5.76 is 12 % of 40 % of x ?	2gain
a man sells an article at a profit of 25 % . if he had bought it at 20 % less and sold it for rs . 12.60 less , he would have gained 30 % . find the cost of the article .	2gain
a 270 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?	1physics
two numbers are in respectively 20 % and 50 % more than a third number . the ratio of the two numbers is ?	5other
a gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same . if there are 4 rows or 5 rows or 6 rows , then no tree will be left . find the least number of trees required	0general
a batsman ' s avg in 12 innings is 24.00 . if his avg is to be double of the no of innings ( 15 innings ) , what should he score in the remaining 3 innings ( avg ) ?	0general
in what time will a railway train 80 m long moving at the rate of 40 kmph pass a telegraph post on its way ?	1physics
the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people z who purchased only book a ?	5other
if the sum of two numbers is 20 and the sum of their squares is 200 , then the product of the numbers is	0general
ratio of two numbers x and y is 3 : 7 . if x is increased by 50 % and y is increased by 2 then the new ratio becomes 1 : 2 . what is the ratio 2 y : ( 2 x + 6 )	0general
bruce purchased 8 kg of grapes at the rate of 70 per kg and 8 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?	2gain
the sum of the ages of 4 children born at the intervals of 3 years each is 36 years . what is the age of the youngest child ?	0general
a certain number when divided by 39 leaves a remainder 16 , what is the remainder when the same number is divided by 13 ?	0general
a pump can fill a tank with water in 4 hours . because of a leak , it took 20 hours to fill the tank . the leak can drain all the water of the tank in ?	1physics
suppose 5 monkeys take 5 minutes to eat 5 bananas . how many monkeys would it take to eat 15 bananas in 15 minutes ?	1physics
what is the decimal equivalent of ( 1 / 4 ) ^ 6 ?	0general
3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 2 men and 2 women will do that task .	1physics
what is the remainder when the number 14 ^ 2 * 15 ^ 8 is divided by 5 ?	0general
rahul played weel in this season . his current batting averagge is 52 . if he score 78 runs in today match . his batting average will become 54 . how many matches had he played in this season .	0general
a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 9 ounces of a solution that is 1 part alcohol to 2 parts water . what is the ratio of alcohol to water in the resulting solution ?	5other
some of the 50 % solution of acid was removed and this was replaced with an equal amount of 20 % solution of acid . as a result , a 35 % solution of acid was obtained . what fraction of the original solution was replaced ?	2gain
there are 202 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 maximum number of students among them 1048 pens and 828 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :	0general
a 6 by 8 rectangle is inscribed in circle . what is the circumference of the circle ?	3geometry
marts income is 40 percent more than tims income and tims income is 40 percent less than juans income . what percentage of juans income is marts income	0general
if all the 6 are replaced by 9 , then the algebraic sum of all the numbers from 1 to 100 ( both inclusive ) varies by	5other
a boy is travelling from his home to school at 3 km / hr and reached 7 min late . next day he traveled at 12 km / hr and reached 8 min early . distance between home and school ?	1physics
a gold purification process cycle , is able to remove 1 / 16 of impurities in gold . if we have a 10 grams of gold ore dust containing 16 / 24 pure gold . how much impurities would have been removed from that old after 4 cycles of purification using that method ?	0general
if f ( x ) = 2 x ^ 2 + y , and f ( 2 ) = 20 , what is the value of f ( 5 ) ?	0general
in a 100 member association consisting of men and women , exactly 20 % of men and exactly 25 % women are homeowners . what is the least number of members who are homeowners ?	0general
of the land owned by a farmer , 90 percent was cleared for planting . of the cleared land , 10 percent was planted with grapes and 80 percent of the cleared land was planted with potato . if the remaining 450 acres of cleared land was planted with tomato , how many acres did the farmer own ?	2gain
the ages of 2 persons differ by 18 years . if 12 years ago the elder one be 6 times as old as the younger one , find the present age of elder person .	0general
david obtained 36 , 35 , 42 , 57 and 55 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology what are his average marks ?	0general
find the smallest number of five digits exactly divisible by 32 , 40,56 and 64 .	0general
find compound interest on $ 16000 at 15 % per annum for 2 years 4 months , compounded annually .	2gain
calculate the circumference of a circular field whose radius is 8 centimeters .	1physics
the average score in an examination of 10 students of a class is 60 . if the scores of the top 5 students are not considered , the average score of the remaining students falls by 5 . the pass mark was 40 and the maximum mark was 100 . it is also known that none of the students failed . if each of the top 5 scorers had distinct integral scores , the maximum possible score of the topper is . . . . . .	0general
5 + 3 + 2 = 151022 9 + 2 + 4 = 183652 8 + 6 + 3 = 482466 5 + 4 + 5 = 202541 then ; 7 + 2 + 5 = ?	0general
on a map , 1.5 inches represent 24 miles . how many miles approximately is the distance if you measured 45 centimeters assuming that 1 - inch is 2.54 centimeters ?	1physics
a labourer was engaged for 25 days on the condition that for every day , he works , he will be paid rs . 2 and for every day , he is absent he will be fined 50 p . if he receives only rs . 37 • 50 , find the no . of days he was absent is _____	1physics
a cycle is bought for rs . 930 and sold for rs . 1210 , find the gain percent ?	2gain
bob finishes the first half of an exam in two - sixth the time it takes him to finish the second half . if the whole exam takes him an hour , how many minutes does he spend on the first half of the exam ?	1physics
4 , 10 , ( ? ) , 82 , 244 , 730	0general
the capacity of a cylindrical tank is 246.4 litres . if the height is 4 metres , what is the diameter of the base ?	1physics
calculate the ratio between x and y if 80 % of x equal to 20 % of y ?	0general
the remainder of the division of a number by 63 is 27 . what will be the remainder when that number is divided by 6 ? please explain	0general
a cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ?	1physics
how many odd numbers between 10 and 1600 are the squares of integers ?	3geometry
aaron will jog from home at 6 miles per hour and then walk back home by the same route at 12 miles per hour . how many miles from home can aaron jog so that he spends a total of 3 hours jogging and walking ?	1physics
if n is the greatest positive integer for which 2 ^ n is a factor of 6 ! , then n = ?	5other
andrew travelling to 7 cities . gasoline prices varied from city to city . $ 1.75 , $ 1.61 , $ 1.79 , $ 2.11 , $ 1.96 , $ 2.09 , $ 1.85 . what is the median gasoline price ?	0general
find the value of a / b + b / a , if a and b are the roots of the quadratic equation x 2 + 9 x + 3 = 0 ?	0general
if 20 men can build a water fountain 56 metres long in 6 days , what length of a similar water fountain can be built by 35 men in 3 days ?	1physics
each factor of 230 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 46 ?	5other
a certain psychologist charges $ 25 more for the first hour of therapy than for each additional hour . if the total charge to a patient who receives 5 hours of therapy is $ 250 , what is the total charge to a patient who receives only 2 hours of therapy ?	0general
there are 8 stores in town that had a total of 23 visitors on a particular day . however , only 12 people went shopping that day ; some people visited more than one store . if 8 people visited exactly two stores each , and everyone visited at least one store , what is the largest number of stores anyone could have visited ?	0general
if difference between compound interest and simple interest on a sum at 10 % p . a . for 2 years is rs . 61 then sum is	2gain
a sum of money at simple interest amounts to rs . 815 in 4 years and to rs . 854 in 5 years . the sum is :	2gain
according to the directions on a can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 4 cans of water to make orange juice . how many 12 ounce cans of concentrate are required to prepare 120 6 - ounce servings of orange juice ?	0general
at a certain restaurant , the price of a sandwich is $ 4.00 more than the price of a cup of coffee . if the price of a sandwich and a cup of coffee is $ 7.35 , including a sales tax of 5 % , what is the price of a cup of coffee , excluding the sales tax ?	0general
what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 30 % ?	3geometry
if a , b , c , d , e and f are integers and ( ab + cdef ) < 0 , then what is the maximum number a of integers that can be negative ?	0general
ritesh and co . generated revenue of rs . 1,500 in 2006 . this was 12.5 % of its gross revenue . in 2007 , the gross revenue grew by rs . 2,500 . what is the percentage increase in the revenue in 2007 ?	2gain
if x is a number such that x ^ 2 + 4 x - 5 = 0 and x ^ 2 - 5 x + 4 = 0 , then x =	0general
if the ratio of two number is 3 : 4 and lcm of the number is 180 then what is the number .	5other
calculate the average marks of a student who obtained 56 , 60 , 72 , 85 and 80 marks ( out of 100 ) in geography , history and government , art , computer science and modern literature ?	0general
find the 21 th term of an arithmetic progression whose first term is 3 and the common difference is 5 .	0general
in δ pqs above , if pq = 6 and ps = 7 , then	0general
it was calculated that 75 men could complete a piece of work in 30 days . when work was scheduled to commence , it was found necessary to send 25 men to another project . how much longer will it take to complete the work ?	1physics
a committee is reviewing a total of 20 x black - and - white films and 6 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 w of the selected films are in color ?	0general
the slant height of a cone is 13 cm and radius of the base is 9 cm , find the curved surface of the cone ?	3geometry
a number increased by 20 % gives 480 . the number is	2gain
a person spends 1 / 3 rd of the money with him on clothes , 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel . now , he is left with rs 400 . how much did he have with him in the beginning ?	0general
in what time will a train 200 metres long cross an electric pole , if its speed be 124 km / hr ?	1physics
the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 15 and 16 . the larger of the two numbers is :	5other
a train of 45 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 1.5 km long ?	1physics
mike needs 30 % to pass . if he scored 212 marks and falls short by 13 marks , what was the maximum marks he could have got ?	2gain
a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 7,000 meters of fabric ?	2gain
when 100 is divided by positive integer x , the remainder is 4 . what is the remainder when 196 is divided by x ?	0general
a fair price shopkeeper takes 10 % profit on his goods . he lost 50 % goods during theft . his loss percent is :	2gain
a sum was put a simple interest at a certain rate for 4 years . had it been put at 3 % higher rate , it would have fetched rs . 120 more . the sum is :	2gain
√ ( 14 ) ^ 2	0general
in a graduating class of 236 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ?	5other
bruce purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?	2gain
initially , the men and women in a room were in the ratio of 4 : 5 . then , 2 men entered the room and 3 women left the room . then , the number of women doubled . now there are 14 men in the room . how many r women are currently in the room ?	5other
paul ' s salary was decreased by 50 % and subsequently increased by 50 % . how much percent does he lose ?	0general
a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction u of the sum of the 21 numbers in the list ?	0general
if an object travels 80 feet in 4 seconds , what is the object ’ s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )	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 t between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ?	1physics
what is the greatest prime factor of 42 ^ 2 + 75 ^ 2 + 6300	0general
12 men can complete a piece of work in 30 days . in how many days can 10 men complete that piece of work ?	1physics
if a - b = 4 and a ^ 2 + b ^ 2 = 80 , find the value of ab	0general
in the xy - plane the point ( - 2 - 3 ) is the centre of a circle , the point ( - 2 , 3 ) lies inside the circle and the point ( 6 , - 3 ) lies outside the circle . if the radius r of the circle r is an integer then r =	0general
the timing of a college is from 11 p . m to 4.20 p . m . five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students . find the duration of each lecture .	1physics
efrida and frazer who live 10 miles apart , meet at a restaurant that is directly north of efrida ' s home and directly east of frazer ' s home . if the restaurant is three miles closer to efrida ' s home , than to frazer ' s home , how many miles is the restaurant from frazer ' s home ?	1physics
a man performs 3 / 5 of the total journey by rail , 17 / 20 by bus and the remaining 6.5 km on foot . his total journey is ?	0general
find the fraction which has the same ratio to 2 / 3 that 3 / 5 has to 6 / 7	5other

denominator of a number is 4 less than the numerator . if 6 is added to the numerator , it becomes 3 times the denominator . find the denominator .

0general

if m is an integer such that ( - 2 ) ^ 2 m = 2 ^ ( 3 - m ) then m = ?

0general

a rectangular paper when folded into two congruent parts had a perimeter of 34 cm foer each part folded along one set of sides and the same is 38 cm . when folded along the other set of sides . what is the area of the paper ?

3geometry

given a certain number ( x ) , find x given that 5.76 is 12 % of 40 % of x ?

2gain

a man sells an article at a profit of 25 % . if he had bought it at 20 % less and sold it for rs . 12.60 less , he would have gained 30 % . find the cost of the article .

2gain

a 270 m long train running at the speed of 120 km / hr crosses another train running in opposite direction at the speed of 80 km / hr in 9 sec . what is the length of the other train ?

1physics

two numbers are in respectively 20 % and 50 % more than a third number . the ratio of the two numbers is ?

5other

a gardener wants to plant trees in his garden in such a way that the number of trees in each row should be the same . if there are 4 rows or 5 rows or 6 rows , then no tree will be left . find the least number of trees required

0general

a batsman ' s avg in 12 innings is 24.00 . if his avg is to be double of the no of innings ( 15 innings ) , what should he score in the remaining 3 innings ( avg ) ?

0general

in what time will a railway train 80 m long moving at the rate of 40 kmph pass a telegraph post on its way ?

1physics

the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people z who purchased only book a ?

5other

if the sum of two numbers is 20 and the sum of their squares is 200 , then the product of the numbers is

0general

ratio of two numbers x and y is 3 : 7 . if x is increased by 50 % and y is increased by 2 then the new ratio becomes 1 : 2 . what is the ratio 2 y : ( 2 x + 6 )

0general

bruce purchased 8 kg of grapes at the rate of 70 per kg and 8 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?

2gain

the sum of the ages of 4 children born at the intervals of 3 years each is 36 years . what is the age of the youngest child ?

0general

a certain number when divided by 39 leaves a remainder 16 , what is the remainder when the same number is divided by 13 ?

0general

a pump can fill a tank with water in 4 hours . because of a leak , it took 20 hours to fill the tank . the leak can drain all the water of the tank in ?

1physics

suppose 5 monkeys take 5 minutes to eat 5 bananas . how many monkeys would it take to eat 15 bananas in 15 minutes ?

1physics

what is the decimal equivalent of ( 1 / 4 ) ^ 6 ?

0general

3 men and 8 women complete a task in same time as 6 men and 2 women do . how much fraction of work will be finished in same time if 2 men and 2 women will do that task .

1physics

what is the remainder when the number 14 ^ 2 * 15 ^ 8 is divided by 5 ?

0general

rahul played weel in this season . his current batting averagge is 52 . if he score 78 runs in today match . his batting average will become 54 . how many matches had he played in this season .

0general

a container holding 12 ounces of a solution that is 1 part alcohol to 2 parts water is added to a container holding 9 ounces of a solution that is 1 part alcohol to 2 parts water . what is the ratio of alcohol to water in the resulting solution ?

5other

some of the 50 % solution of acid was removed and this was replaced with an equal amount of 20 % solution of acid . as a result , a 35 % solution of acid was obtained . what fraction of the original solution was replaced ?

2gain

there are 202 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 maximum number of students among them 1048 pens and 828 pencils can be distributed in such a way that each student gets the same number of pens and same number of pencils is :

0general

a 6 by 8 rectangle is inscribed in circle . what is the circumference of the circle ?

3geometry

marts income is 40 percent more than tims income and tims income is 40 percent less than juans income . what percentage of juans income is marts income

0general

if all the 6 are replaced by 9 , then the algebraic sum of all the numbers from 1 to 100 ( both inclusive ) varies by

5other

a boy is travelling from his home to school at 3 km / hr and reached 7 min late . next day he traveled at 12 km / hr and reached 8 min early . distance between home and school ?

1physics

a gold purification process cycle , is able to remove 1 / 16 of impurities in gold . if we have a 10 grams of gold ore dust containing 16 / 24 pure gold . how much impurities would have been removed from that old after 4 cycles of purification using that method ?

0general

if f ( x ) = 2 x ^ 2 + y , and f ( 2 ) = 20 , what is the value of f ( 5 ) ?

0general

in a 100 member association consisting of men and women , exactly 20 % of men and exactly 25 % women are homeowners . what is the least number of members who are homeowners ?

0general

of the land owned by a farmer , 90 percent was cleared for planting . of the cleared land , 10 percent was planted with grapes and 80 percent of the cleared land was planted with potato . if the remaining 450 acres of cleared land was planted with tomato , how many acres did the farmer own ?

2gain

the ages of 2 persons differ by 18 years . if 12 years ago the elder one be 6 times as old as the younger one , find the present age of elder person .

0general

david obtained 36 , 35 , 42 , 57 and 55 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology what are his average marks ?

0general

find the smallest number of five digits exactly divisible by 32 , 40,56 and 64 .

0general

find compound interest on $ 16000 at 15 % per annum for 2 years 4 months , compounded annually .

2gain

calculate the circumference of a circular field whose radius is 8 centimeters .

1physics

the average score in an examination of 10 students of a class is 60 . if the scores of the top 5 students are not considered , the average score of the remaining students falls by 5 . the pass mark was 40 and the maximum mark was 100 . it is also known that none of the students failed . if each of the top 5 scorers had distinct integral scores , the maximum possible score of the topper is . . . . . .

0general

5 + 3 + 2 = 151022 9 + 2 + 4 = 183652 8 + 6 + 3 = 482466 5 + 4 + 5 = 202541 then ; 7 + 2 + 5 = ?

0general

on a map , 1.5 inches represent 24 miles . how many miles approximately is the distance if you measured 45 centimeters assuming that 1 - inch is 2.54 centimeters ?

1physics

a labourer was engaged for 25 days on the condition that for every day , he works , he will be paid rs . 2 and for every day , he is absent he will be fined 50 p . if he receives only rs . 37 • 50 , find the no . of days he was absent is _____

1physics

a cycle is bought for rs . 930 and sold for rs . 1210 , find the gain percent ?

2gain

bob finishes the first half of an exam in two - sixth the time it takes him to finish the second half . if the whole exam takes him an hour , how many minutes does he spend on the first half of the exam ?

1physics

4 , 10 , ( ? ) , 82 , 244 , 730

0general

the capacity of a cylindrical tank is 246.4 litres . if the height is 4 metres , what is the diameter of the base ?

1physics

calculate the ratio between x and y if 80 % of x equal to 20 % of y ?

0general

the remainder of the division of a number by 63 is 27 . what will be the remainder when that number is divided by 6 ? please explain

0general

a cistern which could be filled in 9 hours takes one hour more to be filled owing to a leak in its bottom . if the cistern is full in what time will the leak empty it ?

1physics

how many odd numbers between 10 and 1600 are the squares of integers ?

3geometry

aaron will jog from home at 6 miles per hour and then walk back home by the same route at 12 miles per hour . how many miles from home can aaron jog so that he spends a total of 3 hours jogging and walking ?

1physics

if n is the greatest positive integer for which 2 ^ n is a factor of 6 ! , then n = ?

5other

andrew travelling to 7 cities . gasoline prices varied from city to city . $ 1.75 , $ 1.61 , $ 1.79 , $ 2.11 , $ 1.96 , $ 2.09 , $ 1.85 . what is the median gasoline price ?

0general

find the value of a / b + b / a , if a and b are the roots of the quadratic equation x 2 + 9 x + 3 = 0 ?

0general

if 20 men can build a water fountain 56 metres long in 6 days , what length of a similar water fountain can be built by 35 men in 3 days ?

1physics

each factor of 230 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 46 ?

5other

a certain psychologist charges $ 25 more for the first hour of therapy than for each additional hour . if the total charge to a patient who receives 5 hours of therapy is $ 250 , what is the total charge to a patient who receives only 2 hours of therapy ?

0general

there are 8 stores in town that had a total of 23 visitors on a particular day . however , only 12 people went shopping that day ; some people visited more than one store . if 8 people visited exactly two stores each , and everyone visited at least one store , what is the largest number of stores anyone could have visited ?

0general

if difference between compound interest and simple interest on a sum at 10 % p . a . for 2 years is rs . 61 then sum is

2gain

a sum of money at simple interest amounts to rs . 815 in 4 years and to rs . 854 in 5 years . the sum is :

2gain

according to the directions on a can of frozen orange juice concentrate , 1 can of concentrate is to be mixed with 4 cans of water to make orange juice . how many 12 ounce cans of concentrate are required to prepare 120 6 - ounce servings of orange juice ?

0general

at a certain restaurant , the price of a sandwich is $ 4.00 more than the price of a cup of coffee . if the price of a sandwich and a cup of coffee is $ 7.35 , including a sales tax of 5 % , what is the price of a cup of coffee , excluding the sales tax ?

0general

what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 30 % ?

3geometry

if a , b , c , d , e and f are integers and ( ab + cdef ) < 0 , then what is the maximum number a of integers that can be negative ?

0general

ritesh and co . generated revenue of rs . 1,500 in 2006 . this was 12.5 % of its gross revenue . in 2007 , the gross revenue grew by rs . 2,500 . what is the percentage increase in the revenue in 2007 ?

2gain

if x is a number such that x ^ 2 + 4 x - 5 = 0 and x ^ 2 - 5 x + 4 = 0 , then x =

0general

if the ratio of two number is 3 : 4 and lcm of the number is 180 then what is the number .

5other

calculate the average marks of a student who obtained 56 , 60 , 72 , 85 and 80 marks ( out of 100 ) in geography , history and government , art , computer science and modern literature ?

0general

find the 21 th term of an arithmetic progression whose first term is 3 and the common difference is 5 .

0general

in δ pqs above , if pq = 6 and ps = 7 , then

0general

it was calculated that 75 men could complete a piece of work in 30 days . when work was scheduled to commence , it was found necessary to send 25 men to another project . how much longer will it take to complete the work ?

1physics

a committee is reviewing a total of 20 x black - and - white films and 6 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 w of the selected films are in color ?

0general

the slant height of a cone is 13 cm and radius of the base is 9 cm , find the curved surface of the cone ?

3geometry

a number increased by 20 % gives 480 . the number is

2gain

a person spends 1 / 3 rd of the money with him on clothes , 1 / 5 th of the remaining on food and 1 / 4 th of the remaining on travel . now , he is left with rs 400 . how much did he have with him in the beginning ?

0general

in what time will a train 200 metres long cross an electric pole , if its speed be 124 km / hr ?

1physics

the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 15 and 16 . the larger of the two numbers is :

5other

a train of 45 carriages , each of 60 meters length , when an engine also of 60 meters length is running at a speed of 60 kmph . in what time will the train cross a bridge 1.5 km long ?

1physics

mike needs 30 % to pass . if he scored 212 marks and falls short by 13 marks , what was the maximum marks he could have got ?

2gain

a merchant gets a 5 % discount on each meter of fabric he buys after the first 2,000 meters and a 7 % discount on every meter after the next 1,500 meters . the price , before discount , of one meter of fabric is $ 2 , what is the total amount of money the merchant spends on 7,000 meters of fabric ?

2gain

when 100 is divided by positive integer x , the remainder is 4 . what is the remainder when 196 is divided by x ?

0general

a fair price shopkeeper takes 10 % profit on his goods . he lost 50 % goods during theft . his loss percent is :

2gain

a sum was put a simple interest at a certain rate for 4 years . had it been put at 3 % higher rate , it would have fetched rs . 120 more . the sum is :

2gain

√ ( 14 ) ^ 2

0general

in a graduating class of 236 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ?

5other

bruce purchased 8 kg of grapes at the rate of 70 per kg and 9 kg of mangoes at the rate of 55 per kg . how much amount did he pay to the shopkeeper ?

2gain

initially , the men and women in a room were in the ratio of 4 : 5 . then , 2 men entered the room and 3 women left the room . then , the number of women doubled . now there are 14 men in the room . how many r women are currently in the room ?

5other

paul ' s salary was decreased by 50 % and subsequently increased by 50 % . how much percent does he lose ?

0general

a certain list consists of 21 different numbers . if n is in the list and n is 4 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction u of the sum of the 21 numbers in the list ?

0general

if an object travels 80 feet in 4 seconds , what is the object ’ s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )

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 t between 1 and 20 , inclusive , has the greatest number of distinct rhyming primes around it ?

1physics

what is the greatest prime factor of 42 ^ 2 + 75 ^ 2 + 6300

0general

12 men can complete a piece of work in 30 days . in how many days can 10 men complete that piece of work ?

1physics

if a - b = 4 and a ^ 2 + b ^ 2 = 80 , find the value of ab

0general

in the xy - plane the point ( - 2 - 3 ) is the centre of a circle , the point ( - 2 , 3 ) lies inside the circle and the point ( 6 , - 3 ) lies outside the circle . if the radius r of the circle r is an integer then r =

0general

the timing of a college is from 11 p . m to 4.20 p . m . five lectures are held in the given duration and a break of 5 minutes after each lecture is given to the students . find the duration of each lecture .

1physics

efrida and frazer who live 10 miles apart , meet at a restaurant that is directly north of efrida ' s home and directly east of frazer ' s home . if the restaurant is three miles closer to efrida ' s home , than to frazer ' s home , how many miles is the restaurant from frazer ' s home ?

1physics

a man performs 3 / 5 of the total journey by rail , 17 / 20 by bus and the remaining 6.5 km on foot . his total journey is ?

0general

find the fraction which has the same ratio to 2 / 3 that 3 / 5 has to 6 / 7

5other