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

Problem stringlengths 5 967	category class label 6 classes
a certain company ’ s profit in 1996 was 15 percent greater than its profit in 1995 , and its profit in 1997 was 35 percent greater than its profit in 1996 . the company ’ s profit in 1997 was what percent greater than its profit in 1995 ?	2gain
a , b and c started a partnership business by investing rs . 12000 , rs . 16000 , rs . 20000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ?	2gain
two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . if they cross each other in 24 seconds , what is the ratio of their speeds ?	1physics
sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 450 dollars . on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days . each cup she sold had a total cost of 75 cents and sarah did not incur any other costs . if every day she sold exactly 32 cups and 3 of the days were hot , then what was the price of 1 cup on a hot day ?	2gain
at sandi ’ s pet shop , 25 cups of bird seed are used every 5 days to feed 15 parakeets . how many cups of bird seed would be required to feed 14 parakeets for 7 days ?	1physics
there are 2 available positions and 50 candidates , one half of whom are democrats and another half are republicans . if it was decided that the positions would be filled at random , then what is the probability e that the both positions will be taken by members of just one party ?	5other
a car travels from point a to point b . the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 80 km / hr . what is the speed of the car in the second half of the trip ?	0general
sonika deposited rs . 8000 which amounted to rs . 11200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ?	2gain
a manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18 % . the wholesaler sells the same to retailer at a profit of 20 % . the retailer in turn sells them to a customer for rs . 30.09 , there by earning a profit of 25 % . the cost price for the manufacturer is :	2gain
how long will a boy take to run round a square field of side 40 meters , if he runs at the rate of 12 km / hr ?	2gain
the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 602 to 700 inclusive ?	0general
the average runs scored by a batsman in 10 matches is 40 . in the next 10 matches the batsman scored an average of 30 runs . find his average in all the 20 matches ?	0general
there are 300 giraffes at a large zoo . the number of giraffes is 3 times the number of all the other animals combined . how many more giraffes are there than non giraffes animals at the zoo ?	0general
bucket a is 1 / 4 full of sand , and bucket b , which has one - half the capacity of bucket a , is 3 / 8 full of sand . jana pours the contents of bucket b into bucket a . bucket a is now filled to what fraction of its capacity ?	0general
if n is an integer , f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 15 . what is the value of f ( 6 ) ?	0general
a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1100 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ?	0general
andy solves problems 78 to 125 inclusive in a math exercise . how many problems does he solve ?	0general
a fair 2 sided coin is flipped 3 times . what is the probability that tails will be the result at least twice , but not more than 3 times ?	0general
a ' and ' b ' are positive integers such that their lcm is 20 and their hcf is 1 . what is the addition of the maximum and minimum possible values of ' a + b ' ?	0general
3 / 5 of all married couples have more than one child . 2 / 5 of all married couples have more than 3 children . what fraction of all married couples have 2 or 3 children ?	0general
one pump drains one - half of a pond in 2 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ?	1physics
if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 18 , then n =	0general
a fair price shopkeeper takes 10 % profit on his goods . he lost 40 % goods during theft . his loss percent is :	2gain
a and b go around a circular track of length 300 m on a cycle at speeds of 34 kmph and 50 kmph . after how much time will they meet for the first time at the starting point ?	1physics
in cliff ’ s impressive rock collection , there are half as many igneous rocks as sedimentary rocks . of the igneous rocks , 3 / 4 are shiny and the rest are matte , while 1 / 5 of the sedimentary rocks are shiny . if there are 30 shiny igneous rocks , how many total rocks does cliff have ?	0general
two assembly line inspectors , smithy and glen , inspect widgets as they come off the assembly line . if smithy inspects every fifth widget , starting with the fifth , and glen inspects every third , starting with the third , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ?	5other
what is the sum of the numbers between 1 and 12 , inclusive ?	0general
the speed of a car is 120 km in the first hour and 70 km in the second hour . what is the average speed of the car ?	1physics
in a class of 60 children , 30 % children can speak only english , 20 % hindi and english both and the rest of the children can speak only hindi . how many children can speak hindi ?	5other
25 % of a number is more than 20 % of 650 by 190 . find the number ?	2gain
george ' s car calls for 8 ounces of oil for each cylinder used . his car ' s engine has 6 cylinders . if 16 ounces of oil has already been put into the engine used , then how many additional ounces of oil are needed ?	3geometry
a car traveled 35 % of the way from town x to town y at an average speed of 35 mph . the car traveled at an average speed of v mph for the remaining part of the trip . the average speed for the entire trip was 50 mph . what is v in mph ?	0general
if the compound interest on a certain sum of money for 2 years at 10 % per annum be rs . 993 , what would be the simple interest ?	2gain
hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench . if the total weight of two hammers and two wrenches is one - third that of 8 hammers and 5 wrenches , then the total weight of one wrench is how many times that of one hammer ?	0general
tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 163 per kg , the price of the third variety per kg will be	5other
in an examination , 25 % of total students failed in hindi , 40 % failed in english and 35 % in both . the percentage of these who passed in both the subjects is :	0general
the total circumference of two circles is 49 . if the first circle has a circumference that is exactly twice the circumference of the second circle , then what is the approximate sum of their two radii ?	0general
a certain pair of used shoes can be repaired for $ 10.50 and will last for 1 year . a pair of the same kind of shoes can be purchased new for $ 30.00 and will last for 2 years . the average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes ?	0general
a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 6 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?	1physics
a and b invests rs . 8000 and rs . 9000 in a business . after 4 months , a withdraws half of his capital and 2 months later , b withdraws one - third of his capital . in what ratio should they share the profits at the end of the year ?	2gain
a runs twice as fast as b and gives b a start of 42 m . how long should the racecourse be so that a and b might reach in the same time ?	1physics
in a certain town , the ratio of ny yankees fans to ny mets fans is 3 : 2 , and the ratio of ny mets fans to boston red sox fans is 4 : 5 . if there are 330 baseball fans in the town , each of whom is a fan of exactly one of those three teams , how many ny mets fans are there in this town ?	5other
what is the 26 th digit to the right of the decimal point in the decimal form of 6 / 11 ?	0general
what is the area of square field whose side of length 13 m ?	3geometry
a can complete a certain job in 9 days . b is 80 % more efficient than a . in how many days can b complete the same job ?	2gain
a metallic sheet is of rectangular shape with dimensions 50 m x 30 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 5 m , the volume of the box ( in m cube ) is :	3geometry
in what time a sum of money double itself at 2 % per annum simple interest ?	2gain
a , b , c can complete a piece of work in 18 , 6,12 days . working together , they complete the same work in how many days ?	1physics
if the horse can run 10 miles / hour , how many days would it take for a horse to run from new york city to washington . d . c . ? ( 240 miles from nyc to d . c . )	1physics
solve below question 2 x + 1 = - 21	0general
solution for 2.12 + . 004 + . 345	0general
in a throw of dice what is the probability of ge æ « ng number greater than 3	4probability
a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 1300 , what is the reduced price for kg ?	2gain
how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1 / 2 m board ?	0general
20 liters of a mixture is created by mixing liquid p and liquid q in the ratio 3 : 2 . how many liters of liquid q must be added to make the ratio 4 : 3 ?	0general
a sum amounts to rs . 5292 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ?	2gain
express a speed of 56 kmph in meters per second ?	1physics
in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 45 liters and they are all empty , how much money total will it cost to fuel all cars ?	0general
a group of men decided to do a work in 12 days , but 6 of them became absent . if the rest of the group did the work in 14 days , find the original number of men ?	1physics
a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 234 for it , the cost price of the cricket bat for a is :	2gain
a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing . if the poles of the fence are kept 5 metres apart , how many poles will be needed ?	1physics
in town x , 64 percent of the population are employed , and 49 percent of the population are employed males . what percent of the employed people in town x are females ?	2gain
the hiker walking at a constant rate of 6 miles per hour is passed by a motor - cyclist traveling in the same direction along the same path at 30 miles per hour . the motor - cyclist stops to wait for the hiker 12 minutes after passing her , while the hiker continues to walk at her constant rate , how many minutes must the motor - cyclist wait until the hiker catches up ?	1physics
the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 90 metres ?	1physics
a train consists of 12 boggies , each boggy 15 metres long . the train crosses a telegraph post in 9 seconds . due to some problem , one boggies were detached . the train now crosses a telegraph post in	1physics
a lent rs . 5000 to b for 2 years and rs . 3000 to c for 4 years on simple interest at the same rate of interest and received rs . 2640 in all from both of them as interest . the rate of interest per annum is ?	2gain
tickets numbered from 1 to 26 are mixed and then a ticket is selected randomly . what is the probability that the selected ticket bears a number which is a multiple of 3 ?	0general
in a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 56 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp ?	2gain
the number 219 can be written as sum of the squares of 3 different positive integers . what is the sum of these 3 different integers ?	3geometry
a certain list consists of 21 different numbers . if n is in the list and n is 7 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction of the sum of the 21 numbers in the list ?	0general
in a boat there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man . what is weight of new comer ?	0general
the ratio of a and b is 5 : 3 . after 2 years their ratio is 3 : 2 . what is the age of b ?	5other
a train leaves delhi at 7 a . m . at a speed of 30 kmph . another train leaves at 2 p . m . at a speed of 40 kmph on the same day and in the same direction . how far from delhi , will the two trains meet ?	1physics
if the probability of rain on any given day in chicago during the summer is 50 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 7 , inclusive ?	0general
eight cubes , each with a volume of 512 cm ^ 3 , are joined to form one large cube . what is the surface area of the large cube ?	3geometry
the length of a rectangle is twice its breadth . if its lengthis decreased by 5 cm & breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . what is the length of the rectangle ?	3geometry
every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 51200 ?	0general
set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 4 , while all other numbers remain the same , what is the new average of set s ?	0general
during a sale of 20 % on everything in a store , a kid is successful in convincing the store manager to give him 20 candies for the discounted price of 14 candies . the store still makes a profit of 18 % on this sale . what is the mark up percentage on each candy ?	2gain
how many numbers are divisible by 4 between 1 and 100 .	0general
if a person walks at 14 km / hr instead of 10 km / hr , he would have walked 20 km more . what is the actual distance travelled by him ?	0general
arjun started a business with rs . 40,000 and is joined afterwards by anoop with rs . 80 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ?	0general
5555 × 9999 = ?	0general
1397 x 1397 = ?	0general
if 5 < x < 11 and y = x + 6 , what is the greatest possible integer value of x + y ?	0general
pipe p can fill a tank in 8 hours , pipe q in 12 hours and pipe r in 20 hours . if all the pipes are open , in how many hours will the tank be filled ?	1physics
a worker ' s take - home pay last year was the same each month , and she saved the same fraction of her take - home pay each month . the total amount of money that she had saved at the end of the year was 5 times the amount of that portion of her monthly take - home pay that she did not save . if all the money that she saved last year was from her take - home pay , what fraction of her take - home pay did she save each month ?	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 35 % , what should be the sale price of the mixed tea ?	2gain
if the sum of two numbers is 55 and the h . c . f and l . c . m of these numbers are 5 and 120 respectively , then the sum of the reciprocal of the numbers is equal to :	0general
a person bought 129 glass bowls at a rate of rs . 11 per bowl . he sold 118 of them at rs . 15 and the remaining broke . what is the percentage gain for a ?	2gain
a cube of edge 12 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ?	3geometry
two cars are driving toward each other . the first car is traveling at a speed of 100 km / h , which is 20 % slower than the second car ' s speed . if the distance between the cars is 1125 km , how many hours will it take until the two cars meet ?	1physics
a train 140 m long running at 84 kmph crosses a platform in 16 sec . what is the length of the platform ?	1physics
by travelling at 70 kmph , a person reaches his destination on time . he covered two - third the total distance in one - third of the total time . what speed should he maintain for the remaining distance to reach his destination on time ?	1physics
the cost of registration at a professional association meeting was $ 50 per person ; a lunch for registrants only was available for an additional $ 22 per person . if the number of registrants who paid for lunch was 50 more than the number who did not , and if receipts for registration and lunch totaled $ 82,900 , how many people paid just for registration at the meeting ?	0general
the unit digit in the product ( 594 * 897 * 929 * 462 ) is :	0general
how many times will the digit 8 be written when listing the integers from 1 to 1000 ?	0general
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 63 km / hr . what is the length of the platform ?	1physics
machine a and machine b are each used to manufacture 330 sprockets . it takes machine a 10 hours longer to produce 330 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ?	2gain
if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 217 , what is the common ratio of the g . p ?	5other

a certain company ’ s profit in 1996 was 15 percent greater than its profit in 1995 , and its profit in 1997 was 35 percent greater than its profit in 1996 . the company ’ s profit in 1997 was what percent greater than its profit in 1995 ?

2gain

a , b and c started a partnership business by investing rs . 12000 , rs . 16000 , rs . 20000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ?

2gain

two trains running in opposite directions cross a man standing on the platform in 27 seconds and 17 seconds respectively . if they cross each other in 24 seconds , what is the ratio of their speeds ?

1physics

sarah operated her lemonade stand monday through friday over a two week period and made a total profit of 450 dollars . on hot days she sold cups of lemonade for a price that was 25 percent higher than the regular days . each cup she sold had a total cost of 75 cents and sarah did not incur any other costs . if every day she sold exactly 32 cups and 3 of the days were hot , then what was the price of 1 cup on a hot day ?

2gain

at sandi ’ s pet shop , 25 cups of bird seed are used every 5 days to feed 15 parakeets . how many cups of bird seed would be required to feed 14 parakeets for 7 days ?

1physics

there are 2 available positions and 50 candidates , one half of whom are democrats and another half are republicans . if it was decided that the positions would be filled at random , then what is the probability e that the both positions will be taken by members of just one party ?

5other

a car travels from point a to point b . the average speed of the car is 60 km / hr and it travels the first half of the trip at a speed of 80 km / hr . what is the speed of the car in the second half of the trip ?

0general

sonika deposited rs . 8000 which amounted to rs . 11200 after 3 years at simple interest . had the interest been 2 % more . she would get how much ?

2gain

a manufacturer sells a pair of glasses to a wholesale dealer at a profit of 18 % . the wholesaler sells the same to retailer at a profit of 20 % . the retailer in turn sells them to a customer for rs . 30.09 , there by earning a profit of 25 % . the cost price for the manufacturer is :

2gain

how long will a boy take to run round a square field of side 40 meters , if he runs at the rate of 12 km / hr ?

2gain

the sum of the first 50 positive even integers is 2550 . what is the sum of the even integers from 602 to 700 inclusive ?

0general

the average runs scored by a batsman in 10 matches is 40 . in the next 10 matches the batsman scored an average of 30 runs . find his average in all the 20 matches ?

0general

there are 300 giraffes at a large zoo . the number of giraffes is 3 times the number of all the other animals combined . how many more giraffes are there than non giraffes animals at the zoo ?

0general

bucket a is 1 / 4 full of sand , and bucket b , which has one - half the capacity of bucket a , is 3 / 8 full of sand . jana pours the contents of bucket b into bucket a . bucket a is now filled to what fraction of its capacity ?

0general

if n is an integer , f ( n ) = f ( n - 1 ) - n and f ( 4 ) = 15 . what is the value of f ( 6 ) ?

0general

a salesman ’ s terms were changed from a flat commission of 5 % on all his sales to a fixed salary of rs . 1100 plus 2.5 % commission on all sales exceeding rs . 4,000 . if his remuneration as per new scheme was rs . 600 more than that by the previous schema , his sales were worth ?

0general

andy solves problems 78 to 125 inclusive in a math exercise . how many problems does he solve ?

0general

a fair 2 sided coin is flipped 3 times . what is the probability that tails will be the result at least twice , but not more than 3 times ?

0general

a ' and ' b ' are positive integers such that their lcm is 20 and their hcf is 1 . what is the addition of the maximum and minimum possible values of ' a + b ' ?

0general

3 / 5 of all married couples have more than one child . 2 / 5 of all married couples have more than 3 children . what fraction of all married couples have 2 or 3 children ?

0general

one pump drains one - half of a pond in 2 hours , and then a second pump starts draining the pond . the two pumps working together finish emptying the pond in one - half hour . how long would it take the second pump to drain the pond if it had to do the job alone ?

1physics

if 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n + 2 ^ 2 n = 4 ^ 18 , then n =

0general

a fair price shopkeeper takes 10 % profit on his goods . he lost 40 % goods during theft . his loss percent is :

2gain

a and b go around a circular track of length 300 m on a cycle at speeds of 34 kmph and 50 kmph . after how much time will they meet for the first time at the starting point ?

1physics

in cliff ’ s impressive rock collection , there are half as many igneous rocks as sedimentary rocks . of the igneous rocks , 3 / 4 are shiny and the rest are matte , while 1 / 5 of the sedimentary rocks are shiny . if there are 30 shiny igneous rocks , how many total rocks does cliff have ?

0general

two assembly line inspectors , smithy and glen , inspect widgets as they come off the assembly line . if smithy inspects every fifth widget , starting with the fifth , and glen inspects every third , starting with the third , how many of the 98 widgets produced in the first hour of operation are not inspected by either inspector ?

5other

what is the sum of the numbers between 1 and 12 , inclusive ?

0general

the speed of a car is 120 km in the first hour and 70 km in the second hour . what is the average speed of the car ?

1physics

in a class of 60 children , 30 % children can speak only english , 20 % hindi and english both and the rest of the children can speak only hindi . how many children can speak hindi ?

5other

25 % of a number is more than 20 % of 650 by 190 . find the number ?

2gain

george ' s car calls for 8 ounces of oil for each cylinder used . his car ' s engine has 6 cylinders . if 16 ounces of oil has already been put into the engine used , then how many additional ounces of oil are needed ?

3geometry

a car traveled 35 % of the way from town x to town y at an average speed of 35 mph . the car traveled at an average speed of v mph for the remaining part of the trip . the average speed for the entire trip was 50 mph . what is v in mph ?

0general

if the compound interest on a certain sum of money for 2 years at 10 % per annum be rs . 993 , what would be the simple interest ?

2gain

hammers and wrenches are manufactured at a uniform weight per hammer and a uniform weight per wrench . if the total weight of two hammers and two wrenches is one - third that of 8 hammers and 5 wrenches , then the total weight of one wrench is how many times that of one hammer ?

0general

tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 163 per kg , the price of the third variety per kg will be

5other

in an examination , 25 % of total students failed in hindi , 40 % failed in english and 35 % in both . the percentage of these who passed in both the subjects is :

0general

the total circumference of two circles is 49 . if the first circle has a circumference that is exactly twice the circumference of the second circle , then what is the approximate sum of their two radii ?

0general

a certain pair of used shoes can be repaired for $ 10.50 and will last for 1 year . a pair of the same kind of shoes can be purchased new for $ 30.00 and will last for 2 years . the average cost per year of the new shoes is what percent greater than the cost of repairing the used shoes ?

0general

a cistern can be filled by a tap in 4 hours while it can be emptied by another tap in 6 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?

1physics

a and b invests rs . 8000 and rs . 9000 in a business . after 4 months , a withdraws half of his capital and 2 months later , b withdraws one - third of his capital . in what ratio should they share the profits at the end of the year ?

2gain

a runs twice as fast as b and gives b a start of 42 m . how long should the racecourse be so that a and b might reach in the same time ?

1physics

in a certain town , the ratio of ny yankees fans to ny mets fans is 3 : 2 , and the ratio of ny mets fans to boston red sox fans is 4 : 5 . if there are 330 baseball fans in the town , each of whom is a fan of exactly one of those three teams , how many ny mets fans are there in this town ?

5other

what is the 26 th digit to the right of the decimal point in the decimal form of 6 / 11 ?

0general

what is the area of square field whose side of length 13 m ?

3geometry

a can complete a certain job in 9 days . b is 80 % more efficient than a . in how many days can b complete the same job ?

2gain

a metallic sheet is of rectangular shape with dimensions 50 m x 30 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 5 m , the volume of the box ( in m cube ) is :

3geometry

in what time a sum of money double itself at 2 % per annum simple interest ?

2gain

a , b , c can complete a piece of work in 18 , 6,12 days . working together , they complete the same work in how many days ?

1physics

if the horse can run 10 miles / hour , how many days would it take for a horse to run from new york city to washington . d . c . ? ( 240 miles from nyc to d . c . )

1physics

solve below question 2 x + 1 = - 21

0general

solution for 2.12 + . 004 + . 345

0general

in a throw of dice what is the probability of ge æ « ng number greater than 3

4probability

a reduction of 25 % in the price of oil enables a house wife to obtain 5 kgs more for rs . 1300 , what is the reduced price for kg ?

2gain

how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 30 m long and 16 1 / 2 m board ?

0general

20 liters of a mixture is created by mixing liquid p and liquid q in the ratio 3 : 2 . how many liters of liquid q must be added to make the ratio 4 : 3 ?

0general

a sum amounts to rs . 5292 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ?

2gain

express a speed of 56 kmph in meters per second ?

1physics

in a fuel station the service costs $ 1.75 per car , every liter of fuel costs 0.65 $ . assuming that a company owns 12 cars and that every fuel tank contains 45 liters and they are all empty , how much money total will it cost to fuel all cars ?

0general

a group of men decided to do a work in 12 days , but 6 of them became absent . if the rest of the group did the work in 14 days , find the original number of men ?

1physics

a sells a cricket bat to b at a profit of 20 % . b sells it to c at a profit of 25 % . if c pays $ 234 for it , the cost price of the cricket bat for a is :

2gain

a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing . if the poles of the fence are kept 5 metres apart , how many poles will be needed ?

1physics

in town x , 64 percent of the population are employed , and 49 percent of the population are employed males . what percent of the employed people in town x are females ?

2gain

the hiker walking at a constant rate of 6 miles per hour is passed by a motor - cyclist traveling in the same direction along the same path at 30 miles per hour . the motor - cyclist stops to wait for the hiker 12 minutes after passing her , while the hiker continues to walk at her constant rate , how many minutes must the motor - cyclist wait until the hiker catches up ?

1physics

the speed at which a man can row a boat in still water is 15 kmph . if he rows downstream , where the speed of current is 3 kmph , what time will he take to cover 90 metres ?

1physics

a train consists of 12 boggies , each boggy 15 metres long . the train crosses a telegraph post in 9 seconds . due to some problem , one boggies were detached . the train now crosses a telegraph post in

1physics

a lent rs . 5000 to b for 2 years and rs . 3000 to c for 4 years on simple interest at the same rate of interest and received rs . 2640 in all from both of them as interest . the rate of interest per annum is ?

2gain

tickets numbered from 1 to 26 are mixed and then a ticket is selected randomly . what is the probability that the selected ticket bears a number which is a multiple of 3 ?

0general

in a certain boys camp , 20 % of the total boys are from school a and 30 % of those study science . if there are 56 boys in the camp that are from school a but do not study science then what is the total number of boys in the camp ?

2gain

the number 219 can be written as sum of the squares of 3 different positive integers . what is the sum of these 3 different integers ?

3geometry

a certain list consists of 21 different numbers . if n is in the list and n is 7 times the average ( arithmetic mean ) of the other 20 numbers in the list , then n is what fraction of the sum of the 21 numbers in the list ?

0general

in a boat there are 8 men whose average weight is increased by 1 kg when 1 man of 60 kg is replaced by a new man . what is weight of new comer ?

0general

the ratio of a and b is 5 : 3 . after 2 years their ratio is 3 : 2 . what is the age of b ?

5other

a train leaves delhi at 7 a . m . at a speed of 30 kmph . another train leaves at 2 p . m . at a speed of 40 kmph on the same day and in the same direction . how far from delhi , will the two trains meet ?

1physics

if the probability of rain on any given day in chicago during the summer is 50 % , independent of what happens on any other day , what is the probability of having exactly 3 rainy days from july 4 through july 7 , inclusive ?

0general

eight cubes , each with a volume of 512 cm ^ 3 , are joined to form one large cube . what is the surface area of the large cube ?

3geometry

the length of a rectangle is twice its breadth . if its lengthis decreased by 5 cm & breadth is increased by 5 cm , the area of the rectangle is increased by 75 sq . cm . what is the length of the rectangle ?

3geometry

every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 51200 ?

0general

set s contains exactly 10 numbers and has an average ( arithmetic mean ) of 6.2 . if one of the numbers in set s is increased by 4 , while all other numbers remain the same , what is the new average of set s ?

0general

during a sale of 20 % on everything in a store , a kid is successful in convincing the store manager to give him 20 candies for the discounted price of 14 candies . the store still makes a profit of 18 % on this sale . what is the mark up percentage on each candy ?

2gain

how many numbers are divisible by 4 between 1 and 100 .

0general

if a person walks at 14 km / hr instead of 10 km / hr , he would have walked 20 km more . what is the actual distance travelled by him ?

0general

arjun started a business with rs . 40,000 and is joined afterwards by anoop with rs . 80 , 000 . after how many months did anoop join if the profits at the end of the year are divided equally ?

0general

5555 × 9999 = ?

0general

1397 x 1397 = ?

0general

if 5 < x < 11 and y = x + 6 , what is the greatest possible integer value of x + y ?

0general

pipe p can fill a tank in 8 hours , pipe q in 12 hours and pipe r in 20 hours . if all the pipes are open , in how many hours will the tank be filled ?

1physics

a worker ' s take - home pay last year was the same each month , and she saved the same fraction of her take - home pay each month . the total amount of money that she had saved at the end of the year was 5 times the amount of that portion of her monthly take - home pay that she did not save . if all the money that she saved last year was from her take - home pay , what fraction of her take - home pay did she save each month ?

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 35 % , what should be the sale price of the mixed tea ?

2gain

if the sum of two numbers is 55 and the h . c . f and l . c . m of these numbers are 5 and 120 respectively , then the sum of the reciprocal of the numbers is equal to :

0general

a person bought 129 glass bowls at a rate of rs . 11 per bowl . he sold 118 of them at rs . 15 and the remaining broke . what is the percentage gain for a ?

2gain

a cube of edge 12 cm is immersed completely in a rectangular vessel containing water . if the dimensions of the base of vessel are 20 cm * 15 cm , find the rise in water level ?

3geometry

two cars are driving toward each other . the first car is traveling at a speed of 100 km / h , which is 20 % slower than the second car ' s speed . if the distance between the cars is 1125 km , how many hours will it take until the two cars meet ?

1physics

a train 140 m long running at 84 kmph crosses a platform in 16 sec . what is the length of the platform ?

1physics

by travelling at 70 kmph , a person reaches his destination on time . he covered two - third the total distance in one - third of the total time . what speed should he maintain for the remaining distance to reach his destination on time ?

1physics

the cost of registration at a professional association meeting was $ 50 per person ; a lunch for registrants only was available for an additional $ 22 per person . if the number of registrants who paid for lunch was 50 more than the number who did not , and if receipts for registration and lunch totaled $ 82,900 , how many people paid just for registration at the meeting ?

0general

the unit digit in the product ( 594 * 897 * 929 * 462 ) is :

0general

how many times will the digit 8 be written when listing the integers from 1 to 1000 ?

0general

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 63 km / hr . what is the length of the platform ?

1physics

machine a and machine b are each used to manufacture 330 sprockets . it takes machine a 10 hours longer to produce 330 sprockets than machine b . machine b produces 10 percent more sprockets per hour than machine a . how many sprockets per hour does machine a produces ?

2gain

if the ratio of the sum of the first 6 terms of a g . p . to the sum of the first 3 terms of the g . p . is 217 , what is the common ratio of the g . p ?

5other