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

Problem stringlengths 5 967	category class label 6 classes
what is the least number that should be added to 1076 , so the sum of the number is divisible by 23 ?	0general
the sum of two numbers is 40 and their product is 375 . what will be the sum of their reciprocals ?	0general
in a throw of a coin find the probability of getting a tail ?	4probability
on her annual road trip to visit her family in seal beach , california , traci stopped to rest after she traveled 1 ⁄ 3 of the total distance and again after she traveled 1 ⁄ 2 of the distance remaining between her first stop and her destination . she then drove the remaining 100 miles and arrived safely at her destination . what was the total distance , in miles , from traci ’ s starting point to seal beach ?	1physics
pavan travelled for 15 hours . he covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph . find the distance travelled by pavan .	1physics
how many quarters are equal to 5 dollars ?	0general
when positive integer n is divided by positive integer j , the remainder is 12 . if n / j = 204.06 , what is value of j ?	0general
if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.25 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was	0general
during a particular baseball game , the probability of a team ' s pitcher throwing a strike on each throw is 2 / 5 . what is the least number of times that the pitcher should pitch the ball that will increase the probability of getting a strike at least once to more than 50 % .	0general
y = x ^ 2 + bx + 64 cuts the x axis at ( h , 0 ) and ( k , 0 ) . if h and k are integers , what is the least value of b ?	0general
a merchant marks his goods up by 20 % and then offers a discount of 5 % on the marked price . what % profit does the merchant make after the discount ?	2gain
a fruit seller sells mangoes at the rate of rs . 16 per kg and thereby loses 12 % . at what price per kg , he should have sold them to make a profit of 20 % ?	2gain
a batsman scored 120 runs which included 5 boundaries and 5 sixes . what percent of his total score did he make by running between the wickets ?	0general
right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy ’ s age will be 30 years . what is molly ' s age right now ?	5other
a goods train runs at a speed of 72 kmph and crosses a 290 m long platform in 26 seconds . what is the length of the goods train ?	1physics
two years ago , ram put $ 1000 into a savings account . at the end of the first year , his account had accrued $ 100 in interest bringing his total balance to $ 1100 . the next year , his account balance increased by 20 % . at the end of the two years , by what percent has sam ' s account balance increased from his initial deposit of $ 1000 ?	2gain
in a certain egg - processing plant , every egg must be inspected , and is either accepted for processing or rejected . for every 96 eggs accepted for processing , 4 eggs are rejected . if , on a particular day , 12 additional eggs were accepted , but the overall number of eggs inspected remained the same , the ratio of those accepted to those rejected would be 99 to 1 . how many r eggs does the plant process per day ?	0general
an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 30 gallons of ethanol , how many gallons of fuel a were added ?	2gain
what quantity of water should taken out to concentrate 24 liters of 40 % acidic liquid to 60 % acidic liquid ?	2gain
if 2 x + y = 7 and x + 2 y = 5 , then 2 xy / 3 = ?	0general
in a colony of 50 residents , the ratio of the number of men and women is 3 : 2 . among the women , the ratio of the educated to the uneducated is 1 : 3 . if the ratio of the number of education to uneducated persons is 4 : 6 , then find the ratio of the number of educated and uneducated men in the colony ?	5other
a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 135 pounds . if the typical dosage is 2 cubic centimeters per 15 pounds of the body weight , by what percent was the prescribed dosage greater than the typical dosage ?	2gain
a train running at the speed of 72 km / hr crosses a pole in 8 seconds . find the length of the train .	1physics
1,000 ^ 2 + 1,001 ^ 2 =	0general
a container contains 40 litres of milk . from this container 4 litres of milk was taken out and replaced by water . this process was repeated further two times . how much milk is now contained by the container ?	0general
a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 3000 more than d , what is b ' s share ?	0general
last year a certain bond price with a face value of 5000 yielded 5 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?	2gain
in how many ways can 5 people be arranged in a circle ?	4probability
if 3 a – 2 b – 2 c = 30 and √ 3 a - √ ( 2 b + 2 c ) = 4 , what is the value of a + b + c ?	0general
a man can row his boat with the stream at 8 km / h and against the stream in 4 km / h . the man ' s rate is ?	2gain
in a class of 30 students in an examination in maths 3 students scored 95 marks each , 3 get zero each and the average of the rest was 45 . what is the average of the whole class ?	0general
a , b and c have rs . 350 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ?	0general
what is the decimal equivalent of ( 1 / 6 ) ^ 2 ?	0general
there are 32 balls which are red , blue or green . if 15 balls are green and the sum of red balls and green balls is less than 23 , at most how many red balls are there ?	0general
the length of a train and that of a platform are equal . if with a speed of 90 k / hr , the train crosses the platform in one minute , then the length of the train ( in metres ) is :	1physics
of 30 applicants for a job , 11 had at least 4 years ' experience , 18 had degrees , and 3 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ?	0general
what is the sum of all remainders obtained when the first 200 natural numbers are divided by 9 ?	0general
linda spent 2 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 300 , what were her original savings ?	0general
what is the speed of the stream if a canoe rows upstream at 3 km / hr and downstream at 12 km / hr	1physics
the ratio of the number of females to males at a party was 1 : 2 but when 3 females and 3 males left , the ratio became 1 : 3 . how many people were at the party originally ?	5other
one fourth of one third of two fifth of a number is 30 . what will be 40 % of that number	2gain
5 percent of 255 =	2gain
a certain number of men can do a work in 20 days . if there were 4 men less it could be finished in 5 days more . how many men are there ?	1physics
a train running at the speed of 36 km / hr crosses a pole in 9 seconds . find the length of the train ?	1physics
if n is a prime number greater than 3 , what is the remainder when n ^ 2 is divided by 11 ?	0general
point ( m , n ) is on the circle represented by m ^ 2 + n ^ 2 = 10 , and m , n are integers . how many such points are possible ?	0general
find the area of the quadrilateral of one of its diagonals is 26 cm and its off sets 9 cm and 6 cm ?	3geometry
irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 170 cookies , what percent of the cookies did nell bake ?	5other
a train speeds past a pole in 23 seconds and a platform 125 m long in 33 seconds . its length is ?	1physics
a bookseller sells his books at a 25 % markup in price . if he sells a book for $ 12.5 , how much did he pay for it ?	2gain
what will be the compound interest on a sum of rs . 25,000 after 3 years at the rate of 12 p . c . p . a . ?	2gain
a soft drink company had 5000 small and 12000 big bottles in storage . if 15 % of small 18 % of big bottles have been sold , then the total bottles remaining in storage is	0general
4 - fifths of 3 - eighths of a number is 24 . what is 250 per cent of that number ?	0general
rates for having a manuscript typed at a certain typing service are $ 10 per page for the first time a page is typed and $ 6 per page each time a page is revised . if a certain manuscript has 100 pages , of which 40 were revised only once , 10 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ?	0general
find the mean proportional between 7921 & 9409 ?	0general
25 % of 1250	2gain
there are 3 vessels of equal capacity . vessel a contains milk and water in the ratio 7 : 3 ; vessel b contains milk and water in the ratio 2 : 1 and vessel c contains milk and water in the ratio 3 : 2 . if the mixture in all the 3 vessels is mixed up . what will be the ratio of milk and water ?	0general
from a total of 5 boys and 5 girls , how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls ?	0general
a train moves with a speed of 108 kmph . its speed in metres per second is	1physics
( 132 ) ^ 7 × ( 132 ) ^ ? = ( 132 ) ^ 11.5 .	0general
a batsman in his 10 th innings makes a score of 85 , and thereby increases his average by 3 . what is his average after the 10 th innings ? he had never been ’ not out ’ .	0general
a certain ball team has an equal number of right - and left - handed players . on a certain day , two - thirds of the players were absent from practice . of the players at practice that day , two - third were right handed . what is the ratio of the number of right - handed players who were not at practice that day to the number of left handed players who were not at practice ?	0general
martin bought 5 packet milk at an average price ( arithmetic mean ) of 20 ¢ . if martin returned two packet to the retailer , and the average price of the remaining millk packet was 12 ¢ , then what is the average price , in cents , of the two returned milk packets ?	0general
20 beavers , working together in a constant pace , can build a dam in 18 hours . how many hours will it take 12 beavers that work at the same pace , to build the same dam ?	1physics
a , b , c , d and e are ve consecutive odd numbers the sum of a and c is 146 . what is the value of e ?	1physics
in the coordinate plane , points ( x , 5 ) and ( 9 , y ) are on line k . if line k passes through the origin and has slope 5 / 9 , then x - y =	0general
the radius of a cylindrical vessel is 7 cm and height is 3 cm . find the whole surface of the cylinder ?	3geometry
find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 5 x ( 11 ) ^ 3	0general
a jar contains 20 red , 20 blue , 6 yellow and 4 pink balls . if two balls are to be selected at random and without replacement , approximately what is the probability both of them to be the same colour ?	5other
diana is painting statues . she has 7 / 8 of a gallon of paint remaining . each statue requires 1 / 8 gallon of paint . how many statues can she paint ?	0general
jonathan can type a 10 page document in 40 minutes , susan can type it in 30 minutes , and jack can type it in 24 minutes . working together , how much time will it take them to type the same document ?	1physics
a train 220 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?	1physics
in the hillside summer camp there are 50 children . 90 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 20 % of the total number of children in the camp . how many more boys must she bring to make that happen ?	0general
a cyclist rides a bicycle 8 km at an average speed of 11 km / hr and again travels 11 km at an average speed of 8 km / hr . what is the average speed for the entire trip ?	0general
the balance of a trader weighs 8 % less than it should . still the trader marks up his goods to get an overall profit of 20 % . what is the mark up on the cost price ?	2gain
how many numbers from 13 to 76 are exactly divisible by 10 ?	0general
among all sales staff at listco corporation , college graduates and those without college degrees are equally represented . each sales staff member is either a level - 1 or level - 2 employee . level - 1 college graduates account for 15 % of listco ' s sales staff . listco employs 60 level - 1 employees , 30 of whom are college graduates . how many sales staff members without college degrees are level - 2 employees ?	0general
90 % of the population of a village is 8100 . the total population of the village is ?	0general
a tank is filled by 3 pipes a , b , c in 4 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?	1physics
a rectangular garden is to be twice as long as it is wide . if 240 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ?	3geometry
at what rate percent on simple interest will rs . 415 amount to rs . 514 in 4 years ?	2gain
the number 90 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?	3geometry
the diagonals of a rhombus are 14 cm and 18 cm . find its area ?	3geometry
75 is what percent of 125 ?	2gain
how much more would rs . 50000 fetch , after two years , if it is put at 20 % p . a . compound interest payable half yearly than if is put at 20 % p . a . compound interest payable yearly ?	2gain
a certain psychologist charges $ 40 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 $ 375 , what is the total charge to a patient who receives only 2 hours of therapy ?	0general
if the product 4864 * 9 p 2 is divisible by 12 , the value of p ?	0general
the first year , two cows produced 8100 litres of milk . the second year their production increased by 15 % and 10 % respectively , and the total amount of milk increased to 9100 litres a year . how many litres were milked the second cow in the second year ?	0general
how many multiples of 4 are there between 20 and 112 , inclusive ?	0general
in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 90 % of the total ?	0general
a fellow borrowed a certain sum of money at 5 % per annum at simple interest and in 5 years the interest amounted to rs . 750 less than the sum lent . what was the sum lent ?	2gain
the product x of two prime numbers is between 15 and 90 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25 , then x =	0general
if an object travels at ten feet per second , how many feet does it travel in one hour ?	1physics
for any number z , z * is defined as the greatest positive even integer less than or equal to y . what is the value of 6.32 – 6.32 * ?	0general
the area of a triangle will be when a = 2 m , b = 4 m , c = 6 m , a , b , c being lengths of respective sides ?	3geometry
a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 20 % lemonade syrup ?	2gain
the total age of a and b is 18 years more than the total age of b and c . c is how many years younger than a ?	0general
a certain lab experiments with white and brown mice only . in one experiment , 2 / 4 of the mice are white . if there are 16 brown mice in the experiment , how many mice in total are in the experiment ?	0general
if x is divided by 7 , the remainder is 5 . what is the remainder if 4 x is divided by 7 ?	0general
the speed of a boat in still water is 21 km / hr and the rate of current is 8 km / hr . the distance travelled downstream in 13 minutes is	1physics

what is the least number that should be added to 1076 , so the sum of the number is divisible by 23 ?

0general

the sum of two numbers is 40 and their product is 375 . what will be the sum of their reciprocals ?

0general

in a throw of a coin find the probability of getting a tail ?

4probability

on her annual road trip to visit her family in seal beach , california , traci stopped to rest after she traveled 1 ⁄ 3 of the total distance and again after she traveled 1 ⁄ 2 of the distance remaining between her first stop and her destination . she then drove the remaining 100 miles and arrived safely at her destination . what was the total distance , in miles , from traci ’ s starting point to seal beach ?

1physics

pavan travelled for 15 hours . he covered the first half of the distance at 30 kmph and remaining half of the distance at 25 kmph . find the distance travelled by pavan .

1physics

how many quarters are equal to 5 dollars ?

0general

when positive integer n is divided by positive integer j , the remainder is 12 . if n / j = 204.06 , what is value of j ?

0general

if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.25 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was

0general

during a particular baseball game , the probability of a team ' s pitcher throwing a strike on each throw is 2 / 5 . what is the least number of times that the pitcher should pitch the ball that will increase the probability of getting a strike at least once to more than 50 % .

0general

y = x ^ 2 + bx + 64 cuts the x axis at ( h , 0 ) and ( k , 0 ) . if h and k are integers , what is the least value of b ?

0general

a merchant marks his goods up by 20 % and then offers a discount of 5 % on the marked price . what % profit does the merchant make after the discount ?

2gain

a fruit seller sells mangoes at the rate of rs . 16 per kg and thereby loses 12 % . at what price per kg , he should have sold them to make a profit of 20 % ?

2gain

a batsman scored 120 runs which included 5 boundaries and 5 sixes . what percent of his total score did he make by running between the wickets ?

0general

right now , the ratio between the ages of sandy and molly is 4 : 3 . after 6 years , sandy ’ s age will be 30 years . what is molly ' s age right now ?

5other

a goods train runs at a speed of 72 kmph and crosses a 290 m long platform in 26 seconds . what is the length of the goods train ?

1physics

two years ago , ram put $ 1000 into a savings account . at the end of the first year , his account had accrued $ 100 in interest bringing his total balance to $ 1100 . the next year , his account balance increased by 20 % . at the end of the two years , by what percent has sam ' s account balance increased from his initial deposit of $ 1000 ?

2gain

in a certain egg - processing plant , every egg must be inspected , and is either accepted for processing or rejected . for every 96 eggs accepted for processing , 4 eggs are rejected . if , on a particular day , 12 additional eggs were accepted , but the overall number of eggs inspected remained the same , the ratio of those accepted to those rejected would be 99 to 1 . how many r eggs does the plant process per day ?

0general

an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 30 gallons of ethanol , how many gallons of fuel a were added ?

2gain

what quantity of water should taken out to concentrate 24 liters of 40 % acidic liquid to 60 % acidic liquid ?

2gain

if 2 x + y = 7 and x + 2 y = 5 , then 2 xy / 3 = ?

0general

in a colony of 50 residents , the ratio of the number of men and women is 3 : 2 . among the women , the ratio of the educated to the uneducated is 1 : 3 . if the ratio of the number of education to uneducated persons is 4 : 6 , then find the ratio of the number of educated and uneducated men in the colony ?

5other

a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 135 pounds . if the typical dosage is 2 cubic centimeters per 15 pounds of the body weight , by what percent was the prescribed dosage greater than the typical dosage ?

2gain

a train running at the speed of 72 km / hr crosses a pole in 8 seconds . find the length of the train .

1physics

1,000 ^ 2 + 1,001 ^ 2 =

0general

a container contains 40 litres of milk . from this container 4 litres of milk was taken out and replaced by water . this process was repeated further two times . how much milk is now contained by the container ?

0general

a sum of money is to be distributed among a , b , c , d in the proportion of 5 : 2 : 4 : 3 . if c gets rs . 3000 more than d , what is b ' s share ?

0general

last year a certain bond price with a face value of 5000 yielded 5 % of its face value in interest . if that interest was approx 6.5 of the bond ' s selling price approx what was the bond ' s selling price ?

2gain

in how many ways can 5 people be arranged in a circle ?

4probability

if 3 a – 2 b – 2 c = 30 and √ 3 a - √ ( 2 b + 2 c ) = 4 , what is the value of a + b + c ?

0general

a man can row his boat with the stream at 8 km / h and against the stream in 4 km / h . the man ' s rate is ?

2gain

in a class of 30 students in an examination in maths 3 students scored 95 marks each , 3 get zero each and the average of the rest was 45 . what is the average of the whole class ?

0general

a , b and c have rs . 350 between them , a and c together have rs . 200 and b and c rs . 350 . how much does c have ?

0general

what is the decimal equivalent of ( 1 / 6 ) ^ 2 ?

0general

there are 32 balls which are red , blue or green . if 15 balls are green and the sum of red balls and green balls is less than 23 , at most how many red balls are there ?

0general

the length of a train and that of a platform are equal . if with a speed of 90 k / hr , the train crosses the platform in one minute , then the length of the train ( in metres ) is :

1physics

of 30 applicants for a job , 11 had at least 4 years ' experience , 18 had degrees , and 3 had less than 4 years ' experience and did not have a degree . how many of the applicants had at least 4 years ' experience and a degree ?

0general

what is the sum of all remainders obtained when the first 200 natural numbers are divided by 9 ?

0general

linda spent 2 / 4 of her savings on furniture and the rest on a tv . if the tv cost her $ 300 , what were her original savings ?

0general

what is the speed of the stream if a canoe rows upstream at 3 km / hr and downstream at 12 km / hr

1physics

the ratio of the number of females to males at a party was 1 : 2 but when 3 females and 3 males left , the ratio became 1 : 3 . how many people were at the party originally ?

5other

one fourth of one third of two fifth of a number is 30 . what will be 40 % of that number

2gain

5 percent of 255 =

2gain

a certain number of men can do a work in 20 days . if there were 4 men less it could be finished in 5 days more . how many men are there ?

1physics

a train running at the speed of 36 km / hr crosses a pole in 9 seconds . find the length of the train ?

1physics

if n is a prime number greater than 3 , what is the remainder when n ^ 2 is divided by 11 ?

0general

point ( m , n ) is on the circle represented by m ^ 2 + n ^ 2 = 10 , and m , n are integers . how many such points are possible ?

0general

find the area of the quadrilateral of one of its diagonals is 26 cm and its off sets 9 cm and 6 cm ?

3geometry

irin , ingrid and nell bake chocolate chip cookies in the ratio of 9.18 : 5.17 : 2.05 . if altogether they baked a batch of 170 cookies , what percent of the cookies did nell bake ?

5other

a train speeds past a pole in 23 seconds and a platform 125 m long in 33 seconds . its length is ?

1physics

a bookseller sells his books at a 25 % markup in price . if he sells a book for $ 12.5 , how much did he pay for it ?

2gain

what will be the compound interest on a sum of rs . 25,000 after 3 years at the rate of 12 p . c . p . a . ?

2gain

a soft drink company had 5000 small and 12000 big bottles in storage . if 15 % of small 18 % of big bottles have been sold , then the total bottles remaining in storage is

0general

4 - fifths of 3 - eighths of a number is 24 . what is 250 per cent of that number ?

0general

rates for having a manuscript typed at a certain typing service are $ 10 per page for the first time a page is typed and $ 6 per page each time a page is revised . if a certain manuscript has 100 pages , of which 40 were revised only once , 10 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ?

0general

find the mean proportional between 7921 & 9409 ?

0general

25 % of 1250

2gain

there are 3 vessels of equal capacity . vessel a contains milk and water in the ratio 7 : 3 ; vessel b contains milk and water in the ratio 2 : 1 and vessel c contains milk and water in the ratio 3 : 2 . if the mixture in all the 3 vessels is mixed up . what will be the ratio of milk and water ?

0general

from a total of 5 boys and 5 girls , how many 4 - person committees can be selected if the committee must have exactly 2 boys and 2 girls ?

0general

a train moves with a speed of 108 kmph . its speed in metres per second is

1physics

( 132 ) ^ 7 × ( 132 ) ^ ? = ( 132 ) ^ 11.5 .

0general

a batsman in his 10 th innings makes a score of 85 , and thereby increases his average by 3 . what is his average after the 10 th innings ? he had never been ’ not out ’ .

0general

a certain ball team has an equal number of right - and left - handed players . on a certain day , two - thirds of the players were absent from practice . of the players at practice that day , two - third were right handed . what is the ratio of the number of right - handed players who were not at practice that day to the number of left handed players who were not at practice ?

0general

martin bought 5 packet milk at an average price ( arithmetic mean ) of 20 ¢ . if martin returned two packet to the retailer , and the average price of the remaining millk packet was 12 ¢ , then what is the average price , in cents , of the two returned milk packets ?

0general

20 beavers , working together in a constant pace , can build a dam in 18 hours . how many hours will it take 12 beavers that work at the same pace , to build the same dam ?

1physics

a , b , c , d and e are ve consecutive odd numbers the sum of a and c is 146 . what is the value of e ?

1physics

in the coordinate plane , points ( x , 5 ) and ( 9 , y ) are on line k . if line k passes through the origin and has slope 5 / 9 , then x - y =

0general

the radius of a cylindrical vessel is 7 cm and height is 3 cm . find the whole surface of the cylinder ?

3geometry

find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 5 x ( 11 ) ^ 3

0general

a jar contains 20 red , 20 blue , 6 yellow and 4 pink balls . if two balls are to be selected at random and without replacement , approximately what is the probability both of them to be the same colour ?

5other

diana is painting statues . she has 7 / 8 of a gallon of paint remaining . each statue requires 1 / 8 gallon of paint . how many statues can she paint ?

0general

jonathan can type a 10 page document in 40 minutes , susan can type it in 30 minutes , and jack can type it in 24 minutes . working together , how much time will it take them to type the same document ?

1physics

a train 220 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?

1physics

in the hillside summer camp there are 50 children . 90 % of the children are boys and the rest are girls . the camp administrator decided to make the number of girls only 20 % of the total number of children in the camp . how many more boys must she bring to make that happen ?

0general

a cyclist rides a bicycle 8 km at an average speed of 11 km / hr and again travels 11 km at an average speed of 8 km / hr . what is the average speed for the entire trip ?

0general

the balance of a trader weighs 8 % less than it should . still the trader marks up his goods to get an overall profit of 20 % . what is the mark up on the cost price ?

2gain

how many numbers from 13 to 76 are exactly divisible by 10 ?

0general

among all sales staff at listco corporation , college graduates and those without college degrees are equally represented . each sales staff member is either a level - 1 or level - 2 employee . level - 1 college graduates account for 15 % of listco ' s sales staff . listco employs 60 level - 1 employees , 30 of whom are college graduates . how many sales staff members without college degrees are level - 2 employees ?

0general

90 % of the population of a village is 8100 . the total population of the village is ?

0general

a tank is filled by 3 pipes a , b , c in 4 hours . pipe c is twice as fast as b and b is twice as fast as a . how much will pipe a alone take to fill the tank ?

1physics

a rectangular garden is to be twice as long as it is wide . if 240 yards of fencing , including the gate , will completely enclose the garden , what will be the length of the garden , in yards ?

3geometry

at what rate percent on simple interest will rs . 415 amount to rs . 514 in 4 years ?

2gain

the number 90 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?

3geometry

the diagonals of a rhombus are 14 cm and 18 cm . find its area ?

3geometry

75 is what percent of 125 ?

2gain

how much more would rs . 50000 fetch , after two years , if it is put at 20 % p . a . compound interest payable half yearly than if is put at 20 % p . a . compound interest payable yearly ?

2gain

a certain psychologist charges $ 40 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 $ 375 , what is the total charge to a patient who receives only 2 hours of therapy ?

0general

if the product 4864 * 9 p 2 is divisible by 12 , the value of p ?

0general

the first year , two cows produced 8100 litres of milk . the second year their production increased by 15 % and 10 % respectively , and the total amount of milk increased to 9100 litres a year . how many litres were milked the second cow in the second year ?

0general

how many multiples of 4 are there between 20 and 112 , inclusive ?

0general

in the faculty of reverse - engineering , 226 second year students study numeric methods , 423 second year students study automatic control of airborne vehicles and 134 second year students study them both . how many students are there in the faculty if the second year students are approximately 90 % of the total ?

0general

a fellow borrowed a certain sum of money at 5 % per annum at simple interest and in 5 years the interest amounted to rs . 750 less than the sum lent . what was the sum lent ?

2gain

the product x of two prime numbers is between 15 and 90 . if one of the prime numbers is greater than 2 but less than 6 and the other is greater than 13 but less than 25 , then x =

0general

if an object travels at ten feet per second , how many feet does it travel in one hour ?

1physics

for any number z , z * is defined as the greatest positive even integer less than or equal to y . what is the value of 6.32 – 6.32 * ?

0general

the area of a triangle will be when a = 2 m , b = 4 m , c = 6 m , a , b , c being lengths of respective sides ?

3geometry

a solution contains 8 parts of water for every 7 parts of lemonade syrup . how many parts of the solution should be removed and replaced with water so that the solution will now contain 20 % lemonade syrup ?

2gain

the total age of a and b is 18 years more than the total age of b and c . c is how many years younger than a ?

0general

a certain lab experiments with white and brown mice only . in one experiment , 2 / 4 of the mice are white . if there are 16 brown mice in the experiment , how many mice in total are in the experiment ?

0general

if x is divided by 7 , the remainder is 5 . what is the remainder if 4 x is divided by 7 ?

0general

the speed of a boat in still water is 21 km / hr and the rate of current is 8 km / hr . the distance travelled downstream in 13 minutes is

1physics