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

Problem stringlengths 5 967	category class label 6 classes
if x < y < z and y - x > 1 , where x is an even integer and y and z are odd integers , what is the least possible value of z - x ?	0general
a 12 % stock yielding 8 % is quoted at ?	2gain
the toll for crossing a certain bridge is $ 0.75 each crossing . drivers who frequently use the bridge may instead purchase a sticker each month for $ 13.00 and then pay only $ 0.10 each crossing during that month . if a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day , what is the least value of x for which this driver can save money by using the sticker ?	0general
9 people are planning to share equally the cost of a rental van . if one person withdraws from the arrangement and the others share equally the cost of the rental van , then the share of each of the remaining people will increase by . . . ?	0general
what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 50 % ?	3geometry
there is a 5 % chance that tigers will not win at all during the whole season . there is a 5 % chance that federer will not play at all in the whole season . what is the greatest possible probability that the tigers will win and federer will play during the season ?	4probability
at a florist shop on a certain day , all corsages sold for either $ 25 or $ 40 . if 8 of the corsages that sold for $ 30 had instead sold for $ 20 , then the store ' s revenue from corsages that day would have been reduced by 40 percent . what was the store ' s actual revenue from corsages that day ?	2gain
in an election between two candidates , the first candidate got 60 % of the votes and the second candidate got 480 votes . what was the total number of votes ?	2gain
a jogger running at 9 km / hr along side a railway track is 260 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?	0general
pipe a that can fill a tank in an hour and pipe b that can fill the tank in 15 are opened simultaneously when the tank is empty . pipe b is shut 15 minutes before the tank overflows . when will the tank overflow ?	1physics
john has exactly 31 pens , and each pen is either bule , black , or red . if he has 5 more black pens than red pens , and twice as many blue pens as black pens , how many blue pens does john has ?	0general
what is the average ( arithmetic mean ) of the numbers 5 , 6 , 7 , 7 , 8 , and 9 ?	0general
the average monthly salary of 20 employees in an organisation is rs . 1500 . if the manager ' s salary is added , then the average salary increases by rs . 500 . what is the manager ' s monthly salary ?	0general
a rectangular tiled patio is composed of 50 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 50 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ?	3geometry
the tax on a commodity is diminished by 20 % but its consumption is increased by 15 % . find the decrease percent in the revenue derived from it ?	0general
the number of stamps that kaye and alberto had were in the ration of 5 : 3 respectively . after kaye gave alberto 15 of her stamps , the ration of the number of kaye had to the number of alberto had was 4 : 3 . as a result of the gift , kaye had how many more stamps than alberto ?	5other
find the area of a parallelogram with base 24 cm and height 10 cm ?	3geometry
what is the unit digit in 7 ^ 100 ?	0general
beginning in town a , biker bob rides his bike 8 miles west , 5 miles north , 4 miles east , and then 15 miles north , to town b . how far apart are town a and town b ? ( ignore the curvature of the earth . )	1physics
a rectangular field is to be fenced on three sides leaving a side of 40 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ?	3geometry
in a school with 5 classes , each class has 2 students less than the previous class . how many students are there in the largest class if the total number of students at school is 140 ?	0general
a chemical supply company has 60 liters of a 45 % hno 3 solution . how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution ?	2gain
a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 40 % more recliners . what is the percentage increase of the gross ?	0general
company c produces toy trucks at a cost of $ 5.00 each for the first 100 trucks and $ 3.50 for each additional truck . if 500 toy trucks were produced by company c and sold for $ 8.00 each , what was company c ’ s gross profit ?	2gain
rs 50000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 7000 find money given by 10 % ?	2gain
excluding stoppages , the average speed of a bus is 60 km / hr and including stoppages , the average speed of the bus is 20 km / hr . for how many minutes does the bus stop per hour ?	0general
find the remainder when 2 ^ 31 is divided by 5 .	0general
laxmi and prasanna set on a journey . laxmi moves northwards at a speed of 25 kmph and prasanna moves southward at a speed of 35 kmph . how far will be prasanna from laxmi after 60 minutes ?	1physics
john was thrice as old as tom 6 years ago . john will be 15 / 13 times as old as tom in 6 years . how old is tom today ?	0general
a shopkeeper buys two articles for rs . 1000 each and then sells them , making 50 % profit on the first article and 50 % loss on second article . find the net profit or loss percent ?	2gain
a can complete a project in 10 days and b can complete the same project in 30 days . if a and b start working on the project together and a quits 10 days before the project is completed , in how many days will the project be completed ?	1physics
a , b , and c are integers and a < b < c . s is the set of all integers from a to b , inclusive . q is the set of all integers from b to c , inclusive . the median of set s is ( 3 / 4 ) * b . the median of set q is ( 8 / 8 ) * c . if r is the set of all integers from a to c , inclusive , what fraction of c is the median of set r ?	0general
a car traveling at a certain constant speed takes 10 seconds longer to travel 1 km than it would take to travel 1 km at 80 km / hour . at what speed , in km / hr , is the car traveling ?	1physics
a bus trip of 210 miles would have taken 1 hour less if the average speed v for the trip had been greater by 5 miles per hour . what was the average speed v , in miles per hour , for the trip ?	1physics
if the 5 th date of a month is tuesday , what date will be 3 days after the 3 rd friday in the month ?	1physics
what is the dividend . divisor 19 , the quotient is 9 and the remainder is 5 ?	0general
30 % of a number is more than 60 % of 150 by 120 . find the number ?	2gain
given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] + 5 = f ( 3 x – 6 )	0general
one day a car rental agency rented 3 / 4 of its cars , including 2 / 3 of its cars with cd players . if 3 / 5 of its cars have cd players , what percent of the cars that were not rented had cd players ?	0general
a train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds . its length is ?	1physics
an investor deposited $ 5,000 to open a new savings account that earned 12 percent annual interest , compounded quarterly . if there were no other transactions in the account , what was the amount of money in the account 6 months after the account was opened ?	2gain
a and b can do a work in 8 days , b and c can do the same work in 12 days . a , b and c together can finish it in 6 days . a and c together will do it in ?	1physics
oy started cycling along the boundaries of a square field from corner point a . after half an hour he reached the corner point c , diagonally opposite to a . if his speed was 8 km / hr , the area of the filed in square km is ?	3geometry
how many 4 - digit numbers are there such that all 3 digits are different and the first digit and last digit is not zero ?	0general
the digital sum of a number is the sum of its digits . for how many of the positive integers 24 - 80 inclusive is the digital sum a multiple of 7 ?	0general
32 = a + 2 b \| a \| > 2 if ‘ a ’ and ‘ b ’ are both integers , then what is the smallest possible values of ‘ a ’ that can be used to solve the above equation .	0general
a salesman ' s income consists of a commission and a base salary of $ 350 per week . over the past 5 weeks , his weekly income totals have been $ 406 , $ 413 , $ 420 , $ 436 and $ 495 . what must his average ( arithmetic mean ) commission be per week over the next two weeks so that his average weekly income is $ 500 over the 7 - week period ?	0general
at company x , senior sales representatives visit the home office once every 15 days , and junior sales representatives visit the home office once every 10 days . the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period ?	0general
two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every third , starting with the third , how many of the 99 widgets produced in the first hour of operation are not inspected by either inspector ?	5other
the guests at a football banquet consumed a total of 411 pounds of food . if no individual guest consumed more than 2.5 pounds of food , what is the minimum number of guests that could have attended the banquet ?	0general
in an institute , 60 % of the students are boys and the rest are girls . further 15 % of the boys and 7.5 % of the girls are getting a fee waiver . if the number of those getting a fee waiver is 90 , find the total number of students getting 50 % concessions if it is given that 50 % of those not getting a fee waiver are eligible to get half fee concession ?	2gain
if n = 2 ^ 0.15 and n ^ b = 64 , b must equal	0general
each of the 9 squares shown is to contain one number chosen from 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , and 9 . no number is to be repeated . suppose the sum of the 5 squares aligned vertically on the right is 32 and that the sum of the 5 squares aligned horizontally on the bottom is 20 . what number goes in the shared corner square ?	3geometry
in an electric circuit , two resistors with resistances x and y are connected in parallel . if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of x and y . what is r if x is 5 ohms and y is 7 ohms ?	0general
a envelop weight 8.5 gm , if 850 of these envelop are sent with an advertisement mail . how much wieght ?	0general
a can give b 90 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ?	1physics
a man buys 12 lts of liquid which contains 10 % of the liquid and the rest is water . he then mixes it with 10 lts of another mixture with 30 % of liquid . what is the % of water in the new mixture ?	2gain
a jar contains 6 black and 2 white balls . if you pick two balls at the same time , what ' s the probability that one ball is black and one is white ?	4probability
if a car had traveled 10 kmh faster than it actually did , the trip would have lasted 30 minutes less . if the car went exactly 30 km , at what speed did it travel ?	1physics
a man is 28 years older than his son . in two years , his age will be twice the age of his son . what is the present age of his son ?	0general
how many numbers from 10 to 100 are exactly divisible by 9 ?	0general
what is the units digit of the expression 7 ^ 75 + 6 ?	0general
a certain list consists of 21 different numbers . if n is in the list and n is 8 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
two tains of equal lengths take 10 seconds and 12 seconds respectively to cross a telegraph post . if the length of each train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?	1physics
108 . triangle a ’ s base is 8 % greater than the base of triangle b , and a ’ s height is 8 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ?	3geometry
an agent , gets a commission of 4 % on the sales of cloth . if on a certain day , he gets rs . 12.50 as commission , the cloth sold through him on that day is worth	2gain
a certain university will select 3 of 7 candidates eligible to fill a position in the mathematics department and 5 of 8 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?	5other
a and b can do a work in 10 days and 15 days respectively . a starts the work and b joins him after 2 days . in how many days can they complete the remaining work ?	1physics
the breadth of a rectangular field is 60 % of its length . if the perimeter of the field is 800 m . what is the area of the field ?	3geometry
if \| 20 x - 10 \| = 170 , then find the product of the values of x ?	0general
5 liters of a 20 percent solution of alcohol in water are mixed with 3 liters of a 12 percent alcohol in water solution . what is the percentage of alcohol in the new solution ?	0general
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 20 % while buying and by 20 % while selling . what is his percentage profit ?	2gain
compare the rates of two trains , one travelling at 45 km / hr and other is at 10 m / s ?	2gain
a scuba diver descends at a rate of 32 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 6400 feet below the sea level . . how long will he take to reach the ship ?	2gain
a clock shows the time as 9 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 6 p . m . ?	1physics
three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 300 . what is their h . c . f . ?	5other
for what values of k will the pair of equations 3 x + 4 y = 12 and ( kx + 12 y ) / 2 = 15 does not have a unique solution ?	0general
what will be the compound interest on a sum of rs . 30,000 after 3 years at the rate of 12 % p . a . ?	2gain
a box contains either blue or red flags . the total number of flags in the box is an even number . a group of children are asked to pick up two flags each . if all the flags are used up in the process such that 60 % of the children have blue flags , and 65 % have red flags , what percentage of children have flags of both the colors ?	0general
how many multiples of 6 are less than 3600 , and also multiples of 36 ?	0general
17 times a positive integer is more than its square by 70 , then the positive integer is	0general
the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 80 % profit ?	2gain
find the distance covered by a man walking for 30 min at a speed of 5 km / hr ?	1physics
dacid obtained 96 , 95 , 82 , 87 and 92 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?	0general
a person can row at 10 kmph in still water . if the velocity of the current is 2 kmph and it takes him 15 hour to row to a place and come back , how far is the place ?	1physics
of the 80 people in a room , 2 / 5 are women . if 1 / 2 of the people are married , what is the maximum number of women in the room who could be unmarried ?	0general
the value of x . 1234 - x = 4234 - 3361	0general
in a group of ducks and cows , the total number of legs are 32 more than twice the no . of heads . find the total no . of buffaloes .	0general
two pipes a and b can fill a tank in 24 hours and 36 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ?	1physics
maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 20 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h , what is the distance traveled by brad ?	1physics
in 1 kg mixture of iron and manganese 20 % of manganese . how much iron should be added so that the proportion of manganese becomes 10 %	0general
a recipe requires 2 1 / 2 ( mixed number ) cups of flour 2 3 / 4 ( mixed number ) cups of sugar and 1 1 / 3 ( mixed number ) cups of milk to make one cake . victor has 15 cups if flour , 16 cups of sugar and 8 cups of milk . what is the greatest number of cakes john can make using this recipe ?	0general
a meal cost $ 36.50 and there was no tax . if the tip was more than 10 pc but less than 15 pc of the price , then the total amount paid should be :	0general
imagine an analog clock set to 12 o ' clock . note that the hour and minute hands overlap . how many times each day do both the hour and minute hands overlap ? how would you determine the exact times of the day that this occurs ?	1physics
a basketball is dropped from a height of 30 feet . if it bounces back up to a height that is exactly half of its previous height , and it stops bouncing after hitting the ground for the fourth time , then how many total feet will the ball have traveled after 2 full bounces .	0general
jamshid can paint a fence in 50 percent less time than taimour can when each works alone . when they work together , they can paint the fence in 7 hours . how long would it take taimour to paint the fence alone ?	1physics
to fill a tank , 25 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 1 / 5 of its present ?	1physics
12 buckets of water fill a tank when the capacity of each bucket is 81 litres . how many buckets will be needed to fill the same tank , if the capacity of each bucket is 9 litres ?	1physics
the number 83 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?	3geometry
one side of a rectangle is 3 cm shorter than the other side . if we increase the length of each side by 1 cm , then the area of the rectangle will increase by 24 cm 2 . find the lengths of all sides .	3geometry

if x < y < z and y - x > 1 , where x is an even integer and y and z are odd integers , what is the least possible value of z - x ?

0general

a 12 % stock yielding 8 % is quoted at ?

2gain

the toll for crossing a certain bridge is $ 0.75 each crossing . drivers who frequently use the bridge may instead purchase a sticker each month for $ 13.00 and then pay only $ 0.10 each crossing during that month . if a particular driver will cross the bridge twice on each of x days next month and will not cross the bridge on any other day , what is the least value of x for which this driver can save money by using the sticker ?

0general

9 people are planning to share equally the cost of a rental van . if one person withdraws from the arrangement and the others share equally the cost of the rental van , then the share of each of the remaining people will increase by . . . ?

0general

what will be the percentage increase in the area of the cube ' s surface if each of the cube ' s edges grows by 50 % ?

3geometry

there is a 5 % chance that tigers will not win at all during the whole season . there is a 5 % chance that federer will not play at all in the whole season . what is the greatest possible probability that the tigers will win and federer will play during the season ?

4probability

at a florist shop on a certain day , all corsages sold for either $ 25 or $ 40 . if 8 of the corsages that sold for $ 30 had instead sold for $ 20 , then the store ' s revenue from corsages that day would have been reduced by 40 percent . what was the store ' s actual revenue from corsages that day ?

2gain

in an election between two candidates , the first candidate got 60 % of the votes and the second candidate got 480 votes . what was the total number of votes ?

2gain

a jogger running at 9 km / hr along side a railway track is 260 m ahead of the engine of a 120 m long train running at 45 km / hr in the same direction . in how much time will the train pass the jogger ?

0general

pipe a that can fill a tank in an hour and pipe b that can fill the tank in 15 are opened simultaneously when the tank is empty . pipe b is shut 15 minutes before the tank overflows . when will the tank overflow ?

1physics

john has exactly 31 pens , and each pen is either bule , black , or red . if he has 5 more black pens than red pens , and twice as many blue pens as black pens , how many blue pens does john has ?

0general

what is the average ( arithmetic mean ) of the numbers 5 , 6 , 7 , 7 , 8 , and 9 ?

0general

the average monthly salary of 20 employees in an organisation is rs . 1500 . if the manager ' s salary is added , then the average salary increases by rs . 500 . what is the manager ' s monthly salary ?

0general

a rectangular tiled patio is composed of 50 square tiles . the rectangular patio will be rearranged so that there will be 2 fewer columns of tiles and 4 more rows of tiles . after the change in layout , the patio will still have 50 tiles , and it will still be rectangular . how many rows are in the tile patio before the change in layout ?

3geometry

the tax on a commodity is diminished by 20 % but its consumption is increased by 15 % . find the decrease percent in the revenue derived from it ?

0general

the number of stamps that kaye and alberto had were in the ration of 5 : 3 respectively . after kaye gave alberto 15 of her stamps , the ration of the number of kaye had to the number of alberto had was 4 : 3 . as a result of the gift , kaye had how many more stamps than alberto ?

5other

find the area of a parallelogram with base 24 cm and height 10 cm ?

3geometry

what is the unit digit in 7 ^ 100 ?

0general

beginning in town a , biker bob rides his bike 8 miles west , 5 miles north , 4 miles east , and then 15 miles north , to town b . how far apart are town a and town b ? ( ignore the curvature of the earth . )

1physics

a rectangular field is to be fenced on three sides leaving a side of 40 feet uncovered . if the area of the field is 680 sq . ft , how many feet of fencing will be required ?

3geometry

in a school with 5 classes , each class has 2 students less than the previous class . how many students are there in the largest class if the total number of students at school is 140 ?

0general

a chemical supply company has 60 liters of a 45 % hno 3 solution . how many liters of pure undiluted hno 3 must the chemists add so that the resultant solution is a 50 % solution ?

2gain

a furniture store owner decided to drop the price of her recliners by 20 % to spur business . by the end of the week she had sold 40 % more recliners . what is the percentage increase of the gross ?

0general

company c produces toy trucks at a cost of $ 5.00 each for the first 100 trucks and $ 3.50 for each additional truck . if 500 toy trucks were produced by company c and sold for $ 8.00 each , what was company c ’ s gross profit ?

2gain

rs 50000 is divided into two parts one part is given to a person with 10 % interest and another part is given to a person with 20 % interest . at the end of first year he gets profit 7000 find money given by 10 % ?

2gain

excluding stoppages , the average speed of a bus is 60 km / hr and including stoppages , the average speed of the bus is 20 km / hr . for how many minutes does the bus stop per hour ?

0general

find the remainder when 2 ^ 31 is divided by 5 .

0general

laxmi and prasanna set on a journey . laxmi moves northwards at a speed of 25 kmph and prasanna moves southward at a speed of 35 kmph . how far will be prasanna from laxmi after 60 minutes ?

1physics

john was thrice as old as tom 6 years ago . john will be 15 / 13 times as old as tom in 6 years . how old is tom today ?

0general

a shopkeeper buys two articles for rs . 1000 each and then sells them , making 50 % profit on the first article and 50 % loss on second article . find the net profit or loss percent ?

2gain

a can complete a project in 10 days and b can complete the same project in 30 days . if a and b start working on the project together and a quits 10 days before the project is completed , in how many days will the project be completed ?

1physics

a , b , and c are integers and a < b < c . s is the set of all integers from a to b , inclusive . q is the set of all integers from b to c , inclusive . the median of set s is ( 3 / 4 ) * b . the median of set q is ( 8 / 8 ) * c . if r is the set of all integers from a to c , inclusive , what fraction of c is the median of set r ?

0general

a car traveling at a certain constant speed takes 10 seconds longer to travel 1 km than it would take to travel 1 km at 80 km / hour . at what speed , in km / hr , is the car traveling ?

1physics

a bus trip of 210 miles would have taken 1 hour less if the average speed v for the trip had been greater by 5 miles per hour . what was the average speed v , in miles per hour , for the trip ?

1physics

if the 5 th date of a month is tuesday , what date will be 3 days after the 3 rd friday in the month ?

1physics

what is the dividend . divisor 19 , the quotient is 9 and the remainder is 5 ?

0general

30 % of a number is more than 60 % of 150 by 120 . find the number ?

2gain

given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] + 5 = f ( 3 x – 6 )

0general

one day a car rental agency rented 3 / 4 of its cars , including 2 / 3 of its cars with cd players . if 3 / 5 of its cars have cd players , what percent of the cars that were not rented had cd players ?

0general

a train speeds past a pole in 15 seconds and a platform 100 m long in 25 seconds . its length is ?

1physics

an investor deposited $ 5,000 to open a new savings account that earned 12 percent annual interest , compounded quarterly . if there were no other transactions in the account , what was the amount of money in the account 6 months after the account was opened ?

2gain

a and b can do a work in 8 days , b and c can do the same work in 12 days . a , b and c together can finish it in 6 days . a and c together will do it in ?

1physics

oy started cycling along the boundaries of a square field from corner point a . after half an hour he reached the corner point c , diagonally opposite to a . if his speed was 8 km / hr , the area of the filed in square km is ?

3geometry

how many 4 - digit numbers are there such that all 3 digits are different and the first digit and last digit is not zero ?

0general

the digital sum of a number is the sum of its digits . for how many of the positive integers 24 - 80 inclusive is the digital sum a multiple of 7 ?

0general

32 = a + 2 b | a | > 2 if ‘ a ’ and ‘ b ’ are both integers , then what is the smallest possible values of ‘ a ’ that can be used to solve the above equation .

0general

a salesman ' s income consists of a commission and a base salary of $ 350 per week . over the past 5 weeks , his weekly income totals have been $ 406 , $ 413 , $ 420 , $ 436 and $ 495 . what must his average ( arithmetic mean ) commission be per week over the next two weeks so that his average weekly income is $ 500 over the 7 - week period ?

0general

at company x , senior sales representatives visit the home office once every 15 days , and junior sales representatives visit the home office once every 10 days . the number of visits that a junior sales representative makes in a 2 - year period is approximately what percent greater than the number of visits that a senior representative makes in the same period ?

0general

two assembly line inspectors , lauren and steven , inspect widgets as they come off the assembly line . if lauren inspects every fifth widget , starting with the fifth , and steven inspects every third , starting with the third , how many of the 99 widgets produced in the first hour of operation are not inspected by either inspector ?

5other

the guests at a football banquet consumed a total of 411 pounds of food . if no individual guest consumed more than 2.5 pounds of food , what is the minimum number of guests that could have attended the banquet ?

0general

in an institute , 60 % of the students are boys and the rest are girls . further 15 % of the boys and 7.5 % of the girls are getting a fee waiver . if the number of those getting a fee waiver is 90 , find the total number of students getting 50 % concessions if it is given that 50 % of those not getting a fee waiver are eligible to get half fee concession ?

2gain

if n = 2 ^ 0.15 and n ^ b = 64 , b must equal

0general

each of the 9 squares shown is to contain one number chosen from 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , and 9 . no number is to be repeated . suppose the sum of the 5 squares aligned vertically on the right is 32 and that the sum of the 5 squares aligned horizontally on the bottom is 20 . what number goes in the shared corner square ?

3geometry

in an electric circuit , two resistors with resistances x and y are connected in parallel . if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of x and y . what is r if x is 5 ohms and y is 7 ohms ?

0general

a envelop weight 8.5 gm , if 850 of these envelop are sent with an advertisement mail . how much wieght ?

0general

a can give b 90 meters start and c 200 meters start in a kilometer race . how much start can b give c in a kilometer race ?

1physics

a man buys 12 lts of liquid which contains 10 % of the liquid and the rest is water . he then mixes it with 10 lts of another mixture with 30 % of liquid . what is the % of water in the new mixture ?

2gain

a jar contains 6 black and 2 white balls . if you pick two balls at the same time , what ' s the probability that one ball is black and one is white ?

4probability

if a car had traveled 10 kmh faster than it actually did , the trip would have lasted 30 minutes less . if the car went exactly 30 km , at what speed did it travel ?

1physics

a man is 28 years older than his son . in two years , his age will be twice the age of his son . what is the present age of his son ?

0general

how many numbers from 10 to 100 are exactly divisible by 9 ?

0general

what is the units digit of the expression 7 ^ 75 + 6 ?

0general

a certain list consists of 21 different numbers . if n is in the list and n is 8 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

two tains of equal lengths take 10 seconds and 12 seconds respectively to cross a telegraph post . if the length of each train be 120 metres , in what time ( in seconds ) will they cross each other travelling in opposite direction ?

1physics

108 . triangle a ’ s base is 8 % greater than the base of triangle b , and a ’ s height is 8 % less than the height of triangle b . the area of triangle a is what percent less or more than the area of triangle b ?

3geometry

an agent , gets a commission of 4 % on the sales of cloth . if on a certain day , he gets rs . 12.50 as commission , the cloth sold through him on that day is worth

2gain

a certain university will select 3 of 7 candidates eligible to fill a position in the mathematics department and 5 of 8 candidates eligible to fill 2 identical positions in the computer science department . if none of the candidates is eligible for a position in both departments , how many different sets of 3 candidates are there to fill the 3 positions ?

5other

a and b can do a work in 10 days and 15 days respectively . a starts the work and b joins him after 2 days . in how many days can they complete the remaining work ?

1physics

the breadth of a rectangular field is 60 % of its length . if the perimeter of the field is 800 m . what is the area of the field ?

3geometry

if | 20 x - 10 | = 170 , then find the product of the values of x ?

0general

5 liters of a 20 percent solution of alcohol in water are mixed with 3 liters of a 12 percent alcohol in water solution . what is the percentage of alcohol in the new solution ?

0general

a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 20 % while buying and by 20 % while selling . what is his percentage profit ?

2gain

compare the rates of two trains , one travelling at 45 km / hr and other is at 10 m / s ?

2gain

a scuba diver descends at a rate of 32 feet per minute . a diver dive from a ship to search for a lost ship at the depth of 6400 feet below the sea level . . how long will he take to reach the ship ?

2gain

a clock shows the time as 9 a . m . if the minute hand gains 5 minutes every hour , how many minutes will the clock gain by 6 p . m . ?

1physics

three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 300 . what is their h . c . f . ?

5other

for what values of k will the pair of equations 3 x + 4 y = 12 and ( kx + 12 y ) / 2 = 15 does not have a unique solution ?

0general

what will be the compound interest on a sum of rs . 30,000 after 3 years at the rate of 12 % p . a . ?

2gain

a box contains either blue or red flags . the total number of flags in the box is an even number . a group of children are asked to pick up two flags each . if all the flags are used up in the process such that 60 % of the children have blue flags , and 65 % have red flags , what percentage of children have flags of both the colors ?

0general

how many multiples of 6 are less than 3600 , and also multiples of 36 ?

0general

17 times a positive integer is more than its square by 70 , then the positive integer is

0general

the profit earned by selling an article for rs . 832 is equal to the loss incurred when the same article is sold for rs . 448 . what should be the sale price for making 80 % profit ?

2gain

find the distance covered by a man walking for 30 min at a speed of 5 km / hr ?

1physics

dacid obtained 96 , 95 , 82 , 87 and 92 marks ( out of 100 ) in english , mathematics , physics , chemistry and biology . what are his average marks ?

0general

a person can row at 10 kmph in still water . if the velocity of the current is 2 kmph and it takes him 15 hour to row to a place and come back , how far is the place ?

1physics

of the 80 people in a room , 2 / 5 are women . if 1 / 2 of the people are married , what is the maximum number of women in the room who could be unmarried ?

0general

the value of x . 1234 - x = 4234 - 3361

0general

in a group of ducks and cows , the total number of legs are 32 more than twice the no . of heads . find the total no . of buffaloes .

0general

two pipes a and b can fill a tank in 24 hours and 36 hours respectively . if both the pipes are opened simultaneously , how much time will be taken to fill the tank ?

1physics

maxwell leaves his home and walks toward brad ' s house at the same time that brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 20 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h , what is the distance traveled by brad ?

1physics

in 1 kg mixture of iron and manganese 20 % of manganese . how much iron should be added so that the proportion of manganese becomes 10 %

0general

a recipe requires 2 1 / 2 ( mixed number ) cups of flour 2 3 / 4 ( mixed number ) cups of sugar and 1 1 / 3 ( mixed number ) cups of milk to make one cake . victor has 15 cups if flour , 16 cups of sugar and 8 cups of milk . what is the greatest number of cakes john can make using this recipe ?

0general

a meal cost $ 36.50 and there was no tax . if the tip was more than 10 pc but less than 15 pc of the price , then the total amount paid should be :

0general

imagine an analog clock set to 12 o ' clock . note that the hour and minute hands overlap . how many times each day do both the hour and minute hands overlap ? how would you determine the exact times of the day that this occurs ?

1physics

a basketball is dropped from a height of 30 feet . if it bounces back up to a height that is exactly half of its previous height , and it stops bouncing after hitting the ground for the fourth time , then how many total feet will the ball have traveled after 2 full bounces .

0general

jamshid can paint a fence in 50 percent less time than taimour can when each works alone . when they work together , they can paint the fence in 7 hours . how long would it take taimour to paint the fence alone ?

1physics

to fill a tank , 25 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 1 / 5 of its present ?

1physics

12 buckets of water fill a tank when the capacity of each bucket is 81 litres . how many buckets will be needed to fill the same tank , if the capacity of each bucket is 9 litres ?

1physics

the number 83 can be written as the sum of the squares of 3 different positive integers . what is the sum of these 3 integers ?

3geometry

one side of a rectangle is 3 cm shorter than the other side . if we increase the length of each side by 1 cm , then the area of the rectangle will increase by 24 cm 2 . find the lengths of all sides .

3geometry