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

Problem stringlengths 5 967	category class label 6 classes
a number when divided by 899 gives a remainder 63 . if the same number is divided by 29 , the remainder will be	0general
the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 2700 sq m , then what is the breadth of the rectangular plot ?	3geometry
two trains a and b start simultaneously in the opposite direction from two points p and q and arrive at their destinations 16 and 9 hours respectively after their meeting each other . at what speed does the second train b travel if the first train travels at 120 km / h	1physics
a man , a woman and a boy can together complete a piece of work in 3 days . if a man alone can do it in 6 days and a boy alone in 12 days , how long will a woman take to complete the work ?	1physics
carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 6 inches tall . carmen places her sculpture on a base that is 12 inches tall . how tall are the sculpture andbase together ?	3geometry
the cost of 3 pens and 5 pencils is rs . 340 . also the cost of one pen and one pencil is in the ratio of 4 : 1 respectively . what is the cost of one dozen pens ?	5other
the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of $ 400 per sq . metre .	1physics
the temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 ( 2 ^ - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 80 minutes after it was poured was how many degrees fahrenheit ?	0general
the average of 11 results is 20 . the average of first 5 of them is 15 and that of last 5 is 22 . find the 6 th result ?	0general
1 / 3 + 1 / 2 - 5 / 6 + 1 / 5 + 1 / 4 - 9 / 20 - 5 / 6 =	0general
the product of three consecutive numbers is 210 . then the sum of the smallest two numbers is ?	0general
frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 240 square feet . how many feet offence does frank use ?	3geometry
the total of 334 of 20 paise and 25 paise make a sum of rs . 71 . the no of 20 paise coins is	0general
the function f ( n ) is defined as the product of all the consecutive positive integers between 1 and n ^ 2 , inclusive , whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n , inclusive . the exponent on 3 in the prime factorization of f ( 3 ) / g ( 3 ) is	0general
what will be the compound interest on rs . 45000 after 3 years at the rate of 12 % per annum	2gain
the guests at a football banquet consumed a total of 337 pounds of food . if no individual guest consumed more than 2 pounds of food , what is the minimum number of guests that could have attended the banquet ?	0general
a plant manager must assign 10 new workers to one of five shifts . she needs a first , second , and third shift , and two alternate shifts . each of the shifts will receive 2 new workers . how many different ways can she assign the new workers ?	1physics
there are 5 red shoes & 4 green shoes . if two of red shoes are drawn what is the probability of getting red shoes	4probability
to fill a tank , 200 buckets of water is required . how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 4 - fifths of its present ?	1physics
what is the probability of getting a sum 9 from two throw of a dice ?	4probability
john was 31 years old when he married betty . they just celebrated their fifth wedding anniversary , and betty ' s age is now 7 / 9 of john ' s . how old is betty ?	0general
if the volume of two cubes are in the ratio 27 : 1 , the ratio of their edges is :	3geometry
tom purchased 8 kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 65 per kg . how much amount did he pay to the shopkeeper ?	2gain
a man can row 4 kmph is still water . if the river is running at 2 kmph it takes 90 min to row to a place and back . how far is the place	1physics
what is the least number should be added to 929 , so the sum of the number is completely divisible by 30 ?	0general
the sale price sarees listed for rs . 495 after successive discount is 15 % and 10 % is ?	2gain
how many numbers from 29 to 119 are exactly divisible by 11 ?	0general
the points a ( 0 , 0 ) , b ( 0 , 4 a - 2 ) and c ( 2 a + 1 , 2 a + 6 ) form a triangle . if angle abc = 90 , what is the area of triangle abc ?	3geometry
a fellow borrowed a certain sum of money at 8 % per annum at simple interest and in 8 years the interest amounted to rs . 900 less than the sum lent . what was the sum lent ?	2gain
aarti can do a piece of work in 3 days . in how many days will she complete 10 time of work of same type ?	1physics
two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 29 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ?	1physics
when sold at a 40 % discount , a sweater nets the merchant a 30 % profit on the wholesale cost at which he initially purchased the item . by what % is the sweater marked up from wholesale at its normal retail price ?	2gain
what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 10 ?	0general
the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 85 and rs . 78 respectively . the sum is :	2gain
a cycle is bought for rs . 675 and sold for rs . 1080 , find the gain percent ?	2gain
two workers a and b are engaged to do a work . a working alone takes 8 hours more to complete the job than if both worked together . if b worked alone , he would need 4 1 / 2 hours more to complete the job than they both working together . what time would they take to do the work together ?	0general
a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 80 sq . feet , how many feet of fencing will be required ?	3geometry
a can do a work in 6 days . b can do in 12 days . if both a & b are working together in how many days they can finish the work ?	1physics
if 2 and 3 are positive integers , then 2 * 3 + 2 is	0general
a 240 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?	1physics
kavi had a stock of 600 bags in his bookshop . he sold 25 on monday , 70 on tuesday , 100 on wednesday , 110 on thursday and 145 on friday . what percentage of the bags were not sold ?	2gain
a man rows his boat 85 km downstream and 45 km upstream , taking 2 1 / 2 hours each time . find the speed of the stream ?	1physics
if f ( x ) = 1 / x and x is a natural number , what can not be the answer for f ( f ( x ) ) ?	0general
the product of the squares of two positive integers is 900 . how many pairs of positive integers satisfy this condition ?	3geometry
what is the least value of x . so that 23 x 57 is divisible by 3 .	0general
six women can do a work in 10 days . ten men can complete the same work in 4 days . what is the ratio between the capacity of a man and a woman ?	1physics
if 28 less than 5 times a certain number is 232 . what is the number ?	0general
a rope of which a calf is tied is increased from 10 m to 23 m , how much additional grassy ground shall it graze ?	0general
a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets into it . the mass of the man is :	1physics
tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 6 meters , and the interior of tank b has a height of 6 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?	1physics
the tax on a commodity is diminished by 30 % but its consumption is increased by 10 % . find the decrease percent in the revenue derived from it ?	0general
a jogger running at 9 kmph along side a railway track is 270 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?	1physics
some consecutive natural numbers , starting with 1 , are written on the board . now , one of the numbers was erased and the average of the remaining numbers is 800 / 39 . find the number which was erased .	0general
find the area of the quadrilateral of one of its diagonals is 10 cm and its off sets 7 cm and 3 cm ?	3geometry
carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 15 inches by 24 inches and jordan ' s rectangle is 8 inches long , how wide is jordan ' s rectangle , in inches ?	3geometry
what is the smallest number which when increased by 3 is divisible by 18 , 70 , 25 and 21 ?	0general
the dimensions of a field are 10 m by 10 m . a pit 10 m long , 5 m wide and 4 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ?	5other
in a survey of parents , exactly 7 / 8 of the mothers and 3 / 4 of the fathers held full - time jobs . if 60 percent of the parents surveyed were women , what percent of the parents did not hold full - time jobs ?	0general
a truck covers a distance of 296 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 6.5 km more than that travelled by the truck ?	1physics
a bag contains 12 red jellybeans and 12 blue jellybeans . if 3 jellybeans are removed one at a time , at random and are not replaced , what is the probability that all 3 jellybeans removed from the bag are blue ?	4probability
a candidate got 10 % of the votes polled and he lost to his rival by 16000 votes . how many votes were cast ?	2gain
if i walk at 8 km / h , i miss the bus by 14 minutes . if i walk at 9 km / h , i reach 16 minutes before the arrival of the bus . how far i walk to reach the bus stand ?	1physics
the length of a rectangle is 2 cm more than the width of the rectangle . the perimeter of the rectangle is 20 cm . find the length and the width of the rectangle .	3geometry
a certain sum becomes 4 times itself at simple interest in 8 years . in how many years does it become 10 times itself ?	0general
product of two natural numbers is 5 . then , the sum of reciprocals of their squares is	0general
certain stocks in january were 20 % less than they were in february and 30 % greater than they were in march . what was the percentage decrease in the stocks from february to march ?	0general
if a ( a + 2 ) = 35 and b ( b + 2 ) = 35 , where a ≠ b , then a + b =	0general
if 5 machines can produce 20 units in 10 hours , how long would it take 10 to produce 80 units ?	1physics
jar a has 26 % more marbles than jar b . what percent of marbles from jar a need to be moved into jar b so that both jars have equal marbles ?	2gain
the average weight of 5 students decreases by 4 kg when one of them weighing 92 kg is replaced by a new student . the weight of the student is	0general
of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 25 grades are d ' s . what is the number of students in the course ?	0general
a 10 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?	3geometry
an uneducated retailer marks all his goods at 55 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ?	2gain
the sum of ages of 5 children born 4 years different each is 70 yrs . what is the age of the elder child ?	0general
the difference between simple and compound interest on rs . 1400 for one year at 10 % per annum reckoned half - yearly is ?	2gain
if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 2 .	0general
the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 420 m , its area is ?	3geometry
a train 500 m long , running with a speed of 180 km / hr will pass a tree in ?	1physics
33 1 / 3 % of 330 ?	2gain
the malibu country club needs to drain its pool for refinishing . the hose they use to drain it can remove 60 cubic feet of water per minute . if the pool is 40 feet wide by 150 feet long by 10 feet deep and is currently at 80 % capacity , how long will it take to drain the pool ?	2gain
you collect pens . suppose you start out with 7 . mike gives you another 22 pens . since her father makes pens , cindy decides to double your pens . since you ' re nice , you give sharon 19 pens . how many pens do you have at the end ?	0general
the difference between simple and compound interest on rs . 1300 for one year at 10 % per annum reckoned half - yearly is ?	2gain
the digital sum of a number is the sum of its digits . for how many of the positive integers 24 - 90 inclusive is the digital sum a multiple of 7 ?	0general
ravi and kavi start a business by investing â ‚ ¹ 3000 and â ‚ ¹ 72000 , respectively . find the ratio of their profits at the end of year .	2gain
in august , a cricket team that played 120 matches won 30 % of the games it played . after a continuous winning streak , this team raised its average to 52 % . how many matches did the team win to attain this average ?	0general
jim ’ s taxi service charges an initial fee of $ 2.05 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled . what is the total charge for a trip of 3.6 miles ?	0general
if a = 105 and a ^ 3 = 21 × 25 × 45 × w , what is the value of w ?	0general
a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 40 miles per gallon , and from town b to town c , the car averaged 50 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ?	0general
a fill pipe can fill 2 / 5 of cistern in 30 minutes in how many minutes , it can fill 4 / 5 of the cistern ?	1physics
a mixture contains alcohol and water in the ratio 4 : 3 . if 10 litres of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture	0general
a car averages 45 mph for the first 4 hours of a trip and averages 75 mph for each additional hour . the average speed for the entire trip was 65 mph . how many hours long is the trip ?	0general
the sum of the present age of henry and jill is 40 . what is their present ages if 8 years ago henry was twice the age of jill ?	0general
the cricket team of 11 members is 25 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of theremaining players is 1 year less than the average age of the whole team . what is the average age of the team ?	0general
the speed of a boat in still water is 24 km / hr and the rate of current is 3 km / hr . the distance travelled downstream in 15 minutes is	1physics
louie takes out a 3 - month loan of $ 2000 . the lender charges him 10 % interest per month compounded monthly . the terms of the loan state that louie must repay the loan in 3 equal monthly payments . to the nearest dollar , how much does louie have to pay each month ?	0general
50 ^ 51 ^ 52 / 11	0general
some of 50 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 45 % . what fraction of the original paint was replaced ?	2gain
if a certain toy store ' s revenue in november was 3 / 5 of its revenue in december and its revenue in january was 1 / 3 of its revenue in november , then the store ' s revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january ?	0general
the cross - section of a cannel is a trapezium in shape . if the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross - section is 640 sq m , the depth of cannel is ?	1physics
the jogging track in a sports complex is 528 m in circumference . deepak and his wife start from the same point and walk in opposite directions at 4.5 km / hr and 3.75 km / hr respectively . they will meet for the first time in ?	0general

a number when divided by 899 gives a remainder 63 . if the same number is divided by 29 , the remainder will be

0general

the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 2700 sq m , then what is the breadth of the rectangular plot ?

3geometry

two trains a and b start simultaneously in the opposite direction from two points p and q and arrive at their destinations 16 and 9 hours respectively after their meeting each other . at what speed does the second train b travel if the first train travels at 120 km / h

1physics

a man , a woman and a boy can together complete a piece of work in 3 days . if a man alone can do it in 6 days and a boy alone in 12 days , how long will a woman take to complete the work ?

1physics

carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 6 inches tall . carmen places her sculpture on a base that is 12 inches tall . how tall are the sculpture andbase together ?

3geometry

the cost of 3 pens and 5 pencils is rs . 340 . also the cost of one pen and one pencil is in the ratio of 4 : 1 respectively . what is the cost of one dozen pens ?

5other

the length of a room is 5.5 m and width is 3.75 m . what is the cost of paying the floor by slabs at the rate of $ 400 per sq . metre .

1physics

the temperature of a certain cup of coffee 10 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 ( 2 ^ - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 80 minutes after it was poured was how many degrees fahrenheit ?

0general

the average of 11 results is 20 . the average of first 5 of them is 15 and that of last 5 is 22 . find the 6 th result ?

0general

1 / 3 + 1 / 2 - 5 / 6 + 1 / 5 + 1 / 4 - 9 / 20 - 5 / 6 =

0general

the product of three consecutive numbers is 210 . then the sum of the smallest two numbers is ?

0general

frank the fencemaker needs to fence in a rectangular yard . he fences in the entire yard , except for one full side of the yard , which equals 40 feet . the yard has an area of 240 square feet . how many feet offence does frank use ?

3geometry

the total of 334 of 20 paise and 25 paise make a sum of rs . 71 . the no of 20 paise coins is

0general

the function f ( n ) is defined as the product of all the consecutive positive integers between 1 and n ^ 2 , inclusive , whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n , inclusive . the exponent on 3 in the prime factorization of f ( 3 ) / g ( 3 ) is

0general

what will be the compound interest on rs . 45000 after 3 years at the rate of 12 % per annum

2gain

the guests at a football banquet consumed a total of 337 pounds of food . if no individual guest consumed more than 2 pounds of food , what is the minimum number of guests that could have attended the banquet ?

0general

a plant manager must assign 10 new workers to one of five shifts . she needs a first , second , and third shift , and two alternate shifts . each of the shifts will receive 2 new workers . how many different ways can she assign the new workers ?

1physics

there are 5 red shoes & 4 green shoes . if two of red shoes are drawn what is the probability of getting red shoes

4probability

to fill a tank , 200 buckets of water is required . how many buckets of water will be required to fill the same tank if the capacity of the bucket is reduced to 4 - fifths of its present ?

1physics

what is the probability of getting a sum 9 from two throw of a dice ?

4probability

john was 31 years old when he married betty . they just celebrated their fifth wedding anniversary , and betty ' s age is now 7 / 9 of john ' s . how old is betty ?

0general

if the volume of two cubes are in the ratio 27 : 1 , the ratio of their edges is :

3geometry

tom purchased 8 kg of apples at the rate of 70 per kg and 9 kg of mangoes at the rate of 65 per kg . how much amount did he pay to the shopkeeper ?

2gain

a man can row 4 kmph is still water . if the river is running at 2 kmph it takes 90 min to row to a place and back . how far is the place

1physics

what is the least number should be added to 929 , so the sum of the number is completely divisible by 30 ?

0general

the sale price sarees listed for rs . 495 after successive discount is 15 % and 10 % is ?

2gain

how many numbers from 29 to 119 are exactly divisible by 11 ?

0general

the points a ( 0 , 0 ) , b ( 0 , 4 a - 2 ) and c ( 2 a + 1 , 2 a + 6 ) form a triangle . if angle abc = 90 , what is the area of triangle abc ?

3geometry

a fellow borrowed a certain sum of money at 8 % per annum at simple interest and in 8 years the interest amounted to rs . 900 less than the sum lent . what was the sum lent ?

2gain

aarti can do a piece of work in 3 days . in how many days will she complete 10 time of work of same type ?

1physics

two passenger trains start at the same hour in the day from two different stations and move towards each other at the rate of 29 kmph and 21 kmph respectively . when they meet , it is found that one train has traveled 60 km more than the other one . the distance between the two stations is ?

1physics

when sold at a 40 % discount , a sweater nets the merchant a 30 % profit on the wholesale cost at which he initially purchased the item . by what % is the sweater marked up from wholesale at its normal retail price ?

2gain

what is the greatest positive integer x such that 3 ^ x is a factor of 9 ^ 10 ?

0general

the simple interest and the true discount on a certain sum for a given time and at a given rate are rs . 85 and rs . 78 respectively . the sum is :

2gain

a cycle is bought for rs . 675 and sold for rs . 1080 , find the gain percent ?

2gain

two workers a and b are engaged to do a work . a working alone takes 8 hours more to complete the job than if both worked together . if b worked alone , he would need 4 1 / 2 hours more to complete the job than they both working together . what time would they take to do the work together ?

0general

a rectangular field is to be fenced on three sides leaving a side of 20 feet uncovered . if the area of the field is 80 sq . feet , how many feet of fencing will be required ?

3geometry

a can do a work in 6 days . b can do in 12 days . if both a & b are working together in how many days they can finish the work ?

1physics

if 2 and 3 are positive integers , then 2 * 3 + 2 is

0general

a 240 metres long train running at the speed of 120 kmph crosses another train running in opposite direction at the speed of 80 kmph in 9 seconds . what is the length of the other train ?

1physics

kavi had a stock of 600 bags in his bookshop . he sold 25 on monday , 70 on tuesday , 100 on wednesday , 110 on thursday and 145 on friday . what percentage of the bags were not sold ?

2gain

a man rows his boat 85 km downstream and 45 km upstream , taking 2 1 / 2 hours each time . find the speed of the stream ?

1physics

if f ( x ) = 1 / x and x is a natural number , what can not be the answer for f ( f ( x ) ) ?

0general

the product of the squares of two positive integers is 900 . how many pairs of positive integers satisfy this condition ?

3geometry

what is the least value of x . so that 23 x 57 is divisible by 3 .

0general

six women can do a work in 10 days . ten men can complete the same work in 4 days . what is the ratio between the capacity of a man and a woman ?

1physics

if 28 less than 5 times a certain number is 232 . what is the number ?

0general

a rope of which a calf is tied is increased from 10 m to 23 m , how much additional grassy ground shall it graze ?

0general

a boat having a length 3 m and breadth 2 m is floating on a lake . the boat sinks by 1 cm when a man gets into it . the mass of the man is :

1physics

tanks a and b are each in the shape of a right circular cylinder . the interior of tank a has a height of 10 meters and a circumference of 6 meters , and the interior of tank b has a height of 6 meters and a circumference of 10 meters . the capacity of tank a is what percent of the capacity of tank b ?

1physics

the tax on a commodity is diminished by 30 % but its consumption is increased by 10 % . find the decrease percent in the revenue derived from it ?

0general

a jogger running at 9 kmph along side a railway track is 270 metres ahead of the engine of a 120 metre long train running at 45 kmph in the same direction . in how much time will the train pass the jogger ?

1physics

some consecutive natural numbers , starting with 1 , are written on the board . now , one of the numbers was erased and the average of the remaining numbers is 800 / 39 . find the number which was erased .

0general

find the area of the quadrilateral of one of its diagonals is 10 cm and its off sets 7 cm and 3 cm ?

3geometry

carol and jordan draw rectangles of equal area . if carol ' s rectangle measures 15 inches by 24 inches and jordan ' s rectangle is 8 inches long , how wide is jordan ' s rectangle , in inches ?

3geometry

what is the smallest number which when increased by 3 is divisible by 18 , 70 , 25 and 21 ?

0general

the dimensions of a field are 10 m by 10 m . a pit 10 m long , 5 m wide and 4 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ?

5other

in a survey of parents , exactly 7 / 8 of the mothers and 3 / 4 of the fathers held full - time jobs . if 60 percent of the parents surveyed were women , what percent of the parents did not hold full - time jobs ?

0general

a truck covers a distance of 296 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 6.5 km more than that travelled by the truck ?

1physics

a bag contains 12 red jellybeans and 12 blue jellybeans . if 3 jellybeans are removed one at a time , at random and are not replaced , what is the probability that all 3 jellybeans removed from the bag are blue ?

4probability

a candidate got 10 % of the votes polled and he lost to his rival by 16000 votes . how many votes were cast ?

2gain

if i walk at 8 km / h , i miss the bus by 14 minutes . if i walk at 9 km / h , i reach 16 minutes before the arrival of the bus . how far i walk to reach the bus stand ?

1physics

the length of a rectangle is 2 cm more than the width of the rectangle . the perimeter of the rectangle is 20 cm . find the length and the width of the rectangle .

3geometry

a certain sum becomes 4 times itself at simple interest in 8 years . in how many years does it become 10 times itself ?

0general

product of two natural numbers is 5 . then , the sum of reciprocals of their squares is

0general

certain stocks in january were 20 % less than they were in february and 30 % greater than they were in march . what was the percentage decrease in the stocks from february to march ?

0general

if a ( a + 2 ) = 35 and b ( b + 2 ) = 35 , where a ≠ b , then a + b =

0general

if 5 machines can produce 20 units in 10 hours , how long would it take 10 to produce 80 units ?

1physics

jar a has 26 % more marbles than jar b . what percent of marbles from jar a need to be moved into jar b so that both jars have equal marbles ?

2gain

the average weight of 5 students decreases by 4 kg when one of them weighing 92 kg is replaced by a new student . the weight of the student is

0general

of the final grades received by the students in a certain math course , 1 / 5 are a ' s , 1 / 4 are b ' s , 1 / 2 are c ' s , and the remaining 25 grades are d ' s . what is the number of students in the course ?

0general

a 10 - meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?

3geometry

an uneducated retailer marks all his goods at 55 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ?

2gain

the sum of ages of 5 children born 4 years different each is 70 yrs . what is the age of the elder child ?

0general

the difference between simple and compound interest on rs . 1400 for one year at 10 % per annum reckoned half - yearly is ?

2gain

if a * b * c = ( √ ( a + 2 ) ( b + 3 ) ) / ( c + 1 ) , find the value of 6 * 15 * 2 .

0general

the sides of a triangle are in the ratio 5 : 12 : 13 and its perimeter is 420 m , its area is ?

3geometry

a train 500 m long , running with a speed of 180 km / hr will pass a tree in ?

1physics

33 1 / 3 % of 330 ?

2gain

the malibu country club needs to drain its pool for refinishing . the hose they use to drain it can remove 60 cubic feet of water per minute . if the pool is 40 feet wide by 150 feet long by 10 feet deep and is currently at 80 % capacity , how long will it take to drain the pool ?

2gain

you collect pens . suppose you start out with 7 . mike gives you another 22 pens . since her father makes pens , cindy decides to double your pens . since you ' re nice , you give sharon 19 pens . how many pens do you have at the end ?

0general

the difference between simple and compound interest on rs . 1300 for one year at 10 % per annum reckoned half - yearly is ?

2gain

the digital sum of a number is the sum of its digits . for how many of the positive integers 24 - 90 inclusive is the digital sum a multiple of 7 ?

0general

ravi and kavi start a business by investing â ‚ ¹ 3000 and â ‚ ¹ 72000 , respectively . find the ratio of their profits at the end of year .

2gain

in august , a cricket team that played 120 matches won 30 % of the games it played . after a continuous winning streak , this team raised its average to 52 % . how many matches did the team win to attain this average ?

0general

jim ’ s taxi service charges an initial fee of $ 2.05 at the beginning of a trip and an additional charge of $ 0.35 for each 2 / 5 of a mile traveled . what is the total charge for a trip of 3.6 miles ?

0general

if a = 105 and a ^ 3 = 21 × 25 × 45 × w , what is the value of w ?

0general

a certain car traveled twice as many miles from town a to town b as it did from town b to town c . from town a to town b , the car averaged 40 miles per gallon , and from town b to town c , the car averaged 50 miles per gallon . what is the average miles per gallon that the car achieved on its trip from town a through town b to town c ?

0general

a fill pipe can fill 2 / 5 of cistern in 30 minutes in how many minutes , it can fill 4 / 5 of the cistern ?

1physics

a mixture contains alcohol and water in the ratio 4 : 3 . if 10 litres of water is added to the mixture , the ratio becomes 4 : 5 . find the quantity of alcohol in the given mixture

0general

a car averages 45 mph for the first 4 hours of a trip and averages 75 mph for each additional hour . the average speed for the entire trip was 65 mph . how many hours long is the trip ?

0general

the sum of the present age of henry and jill is 40 . what is their present ages if 8 years ago henry was twice the age of jill ?

0general

the cricket team of 11 members is 25 yrs old & the wicket keeper is 3 yrs older . if the ages ofthese 2 are excluded , the average age of theremaining players is 1 year less than the average age of the whole team . what is the average age of the team ?

0general

the speed of a boat in still water is 24 km / hr and the rate of current is 3 km / hr . the distance travelled downstream in 15 minutes is

1physics

louie takes out a 3 - month loan of $ 2000 . the lender charges him 10 % interest per month compounded monthly . the terms of the loan state that louie must repay the loan in 3 equal monthly payments . to the nearest dollar , how much does louie have to pay each month ?

0general

50 ^ 51 ^ 52 / 11

0general

some of 50 % - intensity red paint is replaced with 25 % solution of red paint such that the new paint intensity is 45 % . what fraction of the original paint was replaced ?

2gain

if a certain toy store ' s revenue in november was 3 / 5 of its revenue in december and its revenue in january was 1 / 3 of its revenue in november , then the store ' s revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january ?

0general

the cross - section of a cannel is a trapezium in shape . if the cannel is 10 m wide at the top and 6 m wide at the bottom and the area of cross - section is 640 sq m , the depth of cannel is ?

1physics

the jogging track in a sports complex is 528 m in circumference . deepak and his wife start from the same point and walk in opposite directions at 4.5 km / hr and 3.75 km / hr respectively . they will meet for the first time in ?

0general