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

Problem stringlengths 5 967	category class label 6 classes
a , b , and c were started a business , the total profit for one year is $ 56700 . the profit sharing ratio is 8 : 9 : 10 ( according to their investment they divide their profit ) . what is the profit of c ?	2gain
if the product of the integers from 1 to n is divisible by 1029 , what is the least possible value of n ?	0general
average families of 4 pay $ 3000 for their health insurance deductibles annually . there will be a 2 / 3 increase in the deductibles for next year . how much more will the average family pay in deductibles next year ?	0general
a certain university will select 1 of 3 candidates eligible to fill a position in the mathematics department and 2 of 10 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
at the end of the month , a certain ocean desalination plant ’ s reservoir contained 6 million gallons of water . this amount is twice the normal level . if this amount represents 60 % of the reservoir ’ s total capacity , how many million gallons short of total capacity is the normal level ?	0general
two interconnected , circular gears travel at the same circumferential rate . if gear a has a diameter of 60 centimeters and gear b has a diameter of 50 centimeters , what is the ratio of the number of revolutions that gear a makes per minute to the number of revolutions that gear b makes per minute ?	1physics
a sum of money lent out at s . i . amounts to a total of $ 600 after 2 years and to $ 850 after a further period of 5 years . what was the initial sum of money that was invested ?	0general
a train passes a station platform in 46 sec and a man standing on the platform in 16 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?	1physics
if the area of a square with sides of length 5 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ?	3geometry
a rectangular grassy plot 110 m . by 65 m has a gravel path 2.5 m wide all round it on the inside . find the cost of gravelling the path at 80 paise per sq . metre	1physics
a certain board game is played by rolling a pair of fair 6 - sided dice and then moving one ' s piece forward the number of spaces indicated by the sum showing on the dice . a player is frozen if her opponent ' s piece comes to rest in the space already occupied by her piece . if player a is about to roll and is currently 8 spaces behind player b , what is the probability that player b will be frozen after player a rolls ?	0general
we bought 85 hats at the store . blue hats cost $ 6 and green hats cost $ 7 . the total price was $ 548 . how many green hats did we buy ?	0general
in a 100 m race , sam beats john by 5 seconds . on the contrary , if sam allowed john to start 35 m ahead of sam , then sam and john reach the finishing point at the same time . how long does sam take to run the 100 m race ?	1physics
when a train travels at a speed of 110 kmph , it reaches the destination on time . when the same train travels at a speed of 50 kmph , it reaches its destination 15 min late . what is the length of journey ?	1physics
three runners running around a circular track can complete one revolution in 2 , 4 and 5.5 respectively . when will they meet at starting point ?	3geometry
3 bottles contain equal mixtures of spirit and water in the ratio 6 : 1 , 5 : 2 and 3 : 1 respectively . if all the solutions are mixed together , the ratio of spirit to water in the final mixture will be	0general
12 machines can do a work in 10 days . how many machines are needed to complete the work in 40 days ?	1physics
the age of somu is one - third his father ' s . 10 years back he was one - fifth of his father ' s age . what is his persent age ?	0general
from january 1 , 2015 , to january 1 , 2017 , the number of people enrolled in health maintenance organizations increased by 8 percent . the enrollment on january 1 , 2017 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 2015 ?	2gain
a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 92.16 , the number of the member is the group is :	0general
if a person walks at 10 km / hr instead of 5 km / hr , he would have walked 20 km more . the actual distance traveled by him is ?	0general
in a public show 75 % of the seats were filled . if there were 700 seats in the hall , how many seats were vacant ?	2gain
find the value of m 82519 x 9999 = m ?	0general
on a ranch , a rancher can place a loop of rope , called a lasso , once in every 3 throws around a cow ’ s neck . what is the probability that the rancher will be able to place a lasso around a cow ’ s neck at least once in 4 attempts ?	4probability
if one root of the equation 2 x ^ 2 + 3 x – k = 0 is 4 , what is the value of k ?	0general
4 different airplanes owned by a rock band will be refueling today at the same airport . there are 2 larger planes carrying people and 2 smaller planes carrying equipment . all tanks are empty and will need to be filled completely . the 2 smaller tanks hold 60 liters each and the larger tanks are 50 % bigger . fuel is . 50 cents a liter and there is a charge of $ 100 service for each plane . how much will it cost to fill all 4 planes ?	1physics
how many litres of pure acid are there in 12 litres of a 40 % solution	2gain
a train 100 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train . find the speed of the train .	1physics
if the length of the diagonal of a square is 20 cm , then its perimeter must be	3geometry
line m lies in the xy - plane . the y - intercept of line m is - 4 , and line m passes through the midpoint of the line segment whose endpoints are ( 2 , 4 ) and ( 6 , - 8 ) . what is the slope of line m ?	0general
two pipes a and b can fill a tank in 6 hours and 4 hours respectively . if they are opened on alternate hours and if pipe a is opened first , in how many hours , the tank shall be full ?	1physics
two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train catches and completely passes the slower train in 45 seconds . what is the length of each train ( in meters ) ?	1physics
a certain lab experiments with white and brown mice only . in one experiment , 4 / 9 of the mice are brown . if there are 20 brown mice in the experiment , how many mice in total are in the experiment ?	0general
if a + b + c = 21 , what is the total number of non - negative integral solutions ?	0general
a driver goes on a trip of 60 kilometers , the first 30 kilometers at 48 kilometers per hour and the remaining distance at 24 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ?	1physics
a train travelled from point a to point b at 160 km / h . on its way back the train travelled at 120 km / h and therefore the trip back lasted one hour longer . what is the distance ( in km ) between a and b ?	1physics
the length of the bridge , which a train 120 meters long and travelling at 45 km / hr can cross in 30 seconds , is ?	1physics
if a is an integer greater than 8 but less than 15 and b is an integer greater than 6 but less than 21 , what is the range of a / b ?	0general
the average ( arithmetic mean ) of the integers from 25 to 225 , inclusive , is how much lower than the average of the integers from 50 to 1050 inclusive ?	0general
8 identical machines , working alone and at their constant rates , take 6 hours to complete a job lot . how long would it take for 5 such machines to perform the same job ?	1physics
the length and breadth of a rectangle is increased by 10 % and 25 % respectively . what is the increase in the area ?. a . 27.5 %	3geometry
the sum of 3 numbers is 98 . if the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8 , then the second number is :	5other
if 20 men can build a water fountain 56 metres long in 42 days , what length of a similar water fountain can be built by 35 men in 3 days ?	1physics
find large number from below question the difference of two numbers is 1500 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder	0general
from below option 27 is divisible by which one ?	0general
the amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5 . if they worked a combined total of 80 hours , how many hours did the secretary who worked the longest spend on the project ?	1physics
the ratio of number of boys and girls in a class is 3 : 2 . in the 1 st semester exam 20 % of boys and 25 % of girls get more than or equal to 90 % marks . what percentage of students get less than 90 % marks ?	0general
if x = 4 and y = − 2 , what is the value of ( x − 2 y ) ^ y ?	0general
an urn contains 5 red , 6 blue and 8 green balls . 4 balls are randomly selected from the urn , find the probability that the drawn ball are 1 blue and 2 red and 1 green balls ?	4probability
a car takes 6 hours to cover a distance of 504 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?	1physics
one - seventh of the light switches produced by a certain factory are defective . 4 - fifths of the defective switches are rejected and 1 / 15 of the non defective switches are rejected by mistake . if all the switches not rejected are sold , what percent of the switches sold by the factory are defective ?	0general
the average of 10 numbers is calculated as 23 . it is discovered later on that while calculating the average , one number namely 36 was wrongly read as 26 . the correct average is ?	0general
a survey was sent to 80 customers , 7 of whom responded . then the survey was redesigned and sent to another 63 customers , 9 of whom responded . by approximately what percent did the response rate increase from the original survey to the redesigned survey ?	2gain
average age of students of an adult school is 42 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students .	0general
you have been given a physical balance and 7 weights of 45 , 50 , 53 , 46 , 52 , 46 and 80 kgs . keeping weights on one pan and object on the other , what is the maximum you can weigh less than 188 kgs .	0general
a person has to make 146 pieces of long bar . he take $ seconds to cut piece . what is total time taken by him to make 146 pieces ?	1physics
a tank can supply water to a village for 60 days . if a leak at the bottom of the tank drains out 10 liters per day , the supply lasts for 45 days only . for how many days will the supply last if the leak drains out 20 liters per day ?	1physics
how many plants will be there in a circular bed whose outer edge measure 32 cms , allowing 4 cm 2 for each plant ?	1physics
he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 60 kg . what might be the weight of the new person ?	0general
a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 65000 , then the share of b is ?	2gain
if the radius of a circle is decreased 10 % , what happens to the area ?	3geometry
average age of students of an adult school is 44 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students .	0general
a batsman makes a score of 87 runs in the 17 th inning and thus increases his average by 2 . find his average after 17 th inning .	0general
24 oz of juice p and 25 oz of juice v are mixed to make smothies a and y . the ratio of p to v in smothie a is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie a ?	5other
during a certain season , a team won 60 percent of its first 100 games and 50 percent of its remaining games . if the team won 70 percent of its games for the entire season , what was the total number of games that the team played ?	2gain
in a certain pond , 20 fish were caught , tagged , and returned to the pond . a few days later , 20 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what ` s the approximate number of fish in the pond ?	2gain
a certain bus driver is paid a regular rate of $ 18 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 976 in total compensation , how many total hours did he work that week ?	0general
a shopkeeper buys two articles for rs . 1000 each and then sells them , making 75 % profit on the first article and 75 % loss on second article . find the net profit or loss percent ?	2gain
a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 50 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ?	3geometry
in a company of 180 employees , 110 are females . a total of 90 employees have advanced degrees and the rest have a college degree only . if 35 employees are males with a college degree only , how many employees are females with advanced degrees ?	3geometry
how many positive integers less than 8,000 are there in which the sum of the digits equals 5 ?	0general
c and d started a business by investing rs . 1000 / - and rs . 1500 / - respectively . find the d ’ s share out of a total profit of rs . 500 :	0general
a train 400 meters long completely crosses a 300 meters long bridge in 45 seconds . what is the speed of the train is ?	1physics
q and r are two - digit positive integers that have the same digits but in reverse order . if the positive difference between q and r is less than 70 , what is the greatest possible value of q minus r ?	0general
at a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint . verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint . how many liters of yellow paint must be added to 7 liters of forest green to change it to verdant green ?	0general
the sum of three consecutive multiples of 3 is 90 . what is the largest number ?	0general
what will be the difference between simple and compound interest @ 25 % per annum on a sum of $ 3600 after 2 years ?	2gain
if 3 people can do 3 times of a particular work in 3 days , then how many days would it take 8 people to do 8 times of that particular work ?	1physics
a is half good a work man as b and together they finish a job in 32 days . in how many days working alone b finish the job ?	1physics
the measurement of a rectangular box with lid is 25 cmx 24 cmx 18 cm . find the volume of the largest sphere that can be inscribed in the box ( in terms of π cm 3 ) . ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere )	3geometry
if the sides of a square are multiplied by 10 , the area of the original square is how many times as large as the area of the resultant square ?	3geometry
machine t takes 2 more hours than machine b to make 20 widgets . if working together , the machines can make 25 widgets in 3 hours , how long will it take machine t to make 40 widgets ?	1physics
seller selling an apple for rs . 16 , a seller loses 1 / 6 th of what it costs him . the cp of the apple is ?	0general
what is the smallest number which when increased by 3 is divisible by 9 , 70 , 25 and 21 ?	0general
carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 8 inches tall . how tall are the sculpture andbase together ?	3geometry
an employee whose hourly wage was increased by 25 percent decided to reduce the number of hours worked per week so that the employee ' s total weekly income would remain unchanged . by what percent should the number of hours worked be reduced ?	0general
45 men working 8 hours per day dig 40 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?	1physics
there are 150 ' zeroes ' and 151 ' ones ' written on a black board . a step involves choosing 3 digits and replacing them with a single digit . if all the 3 digits are identical , they are replaced with the same digit . otherwise , the digit that appears twice replaces the 3 chosen digits . what is the minimum number of steps after which there will be no zero written on the blackboard ?	0general
a and b complete a work in 9 days . a alone can do it in 18 days . if both together can do the work in how many days ?	1physics
in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces 5 % . what is population of after 2 year .	0general
if an object travels 200 feet in 4 seconds , what is the object ' s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )	1physics
a cube of side 3 meter length is cut into small cubes of side 15 cm each . how many such small cubes can be obtained ?	1physics
a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of 4 walls , the volume of the hall is :	3geometry
if the sides of a triangle are 30 cm , 28 cm and 12 cm , what is its area ?	3geometry
the avg weight of a , b & c is 84 kg . if d joins the group , the avg weight of the group becomes 80 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 79 kg . what is the weight of a ?	0general
if the price of a certain computer increased 30 percent from d dollars to 377 dollars , then 2 d =	0general
you have been given a physical balance and 7 weights of 52 , 50 , 48 , 44 , 45 , 46 , and 78 kgs . . keeping weights on one pan and object on the other , what is the maximum you can weigh less than 183 kgs . ?	0general
on a sum of money , the s . i . for 2 years is $ 600 , while the c . i . is $ 615 , the rate of interest being the same in both the cases . the rate of interest is ?	2gain
a is a working partner and b is a sleeping partner in the business . a puts in rs . 2000 and b rs . 3000 , a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals . out of a total profit of rs . 9600 , money received by a is ?	2gain
annie and sam set out together on bicycles traveling at 15 and 12 km per hour respectively . after 40 minutes , annie stops to fix a flat tire . if it takes annie 35 minutes to fix the flat tire and sam continues to ride during this time , how many minutes will it take annie to catch up with sam assuming that annie resumes riding at 15 km per hour ?	1physics

a , b , and c were started a business , the total profit for one year is $ 56700 . the profit sharing ratio is 8 : 9 : 10 ( according to their investment they divide their profit ) . what is the profit of c ?

2gain

if the product of the integers from 1 to n is divisible by 1029 , what is the least possible value of n ?

0general

average families of 4 pay $ 3000 for their health insurance deductibles annually . there will be a 2 / 3 increase in the deductibles for next year . how much more will the average family pay in deductibles next year ?

0general

a certain university will select 1 of 3 candidates eligible to fill a position in the mathematics department and 2 of 10 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

at the end of the month , a certain ocean desalination plant ’ s reservoir contained 6 million gallons of water . this amount is twice the normal level . if this amount represents 60 % of the reservoir ’ s total capacity , how many million gallons short of total capacity is the normal level ?

0general

two interconnected , circular gears travel at the same circumferential rate . if gear a has a diameter of 60 centimeters and gear b has a diameter of 50 centimeters , what is the ratio of the number of revolutions that gear a makes per minute to the number of revolutions that gear b makes per minute ?

1physics

a sum of money lent out at s . i . amounts to a total of $ 600 after 2 years and to $ 850 after a further period of 5 years . what was the initial sum of money that was invested ?

0general

a train passes a station platform in 46 sec and a man standing on the platform in 16 sec . if the speed of the train is 54 km / hr . what is the length of the platform ?

1physics

if the area of a square with sides of length 5 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ?

3geometry

a rectangular grassy plot 110 m . by 65 m has a gravel path 2.5 m wide all round it on the inside . find the cost of gravelling the path at 80 paise per sq . metre

1physics

a certain board game is played by rolling a pair of fair 6 - sided dice and then moving one ' s piece forward the number of spaces indicated by the sum showing on the dice . a player is frozen if her opponent ' s piece comes to rest in the space already occupied by her piece . if player a is about to roll and is currently 8 spaces behind player b , what is the probability that player b will be frozen after player a rolls ?

0general

we bought 85 hats at the store . blue hats cost $ 6 and green hats cost $ 7 . the total price was $ 548 . how many green hats did we buy ?

0general

in a 100 m race , sam beats john by 5 seconds . on the contrary , if sam allowed john to start 35 m ahead of sam , then sam and john reach the finishing point at the same time . how long does sam take to run the 100 m race ?

1physics

when a train travels at a speed of 110 kmph , it reaches the destination on time . when the same train travels at a speed of 50 kmph , it reaches its destination 15 min late . what is the length of journey ?

1physics

three runners running around a circular track can complete one revolution in 2 , 4 and 5.5 respectively . when will they meet at starting point ?

3geometry

3 bottles contain equal mixtures of spirit and water in the ratio 6 : 1 , 5 : 2 and 3 : 1 respectively . if all the solutions are mixed together , the ratio of spirit to water in the final mixture will be

0general

12 machines can do a work in 10 days . how many machines are needed to complete the work in 40 days ?

1physics

the age of somu is one - third his father ' s . 10 years back he was one - fifth of his father ' s age . what is his persent age ?

0general

from january 1 , 2015 , to january 1 , 2017 , the number of people enrolled in health maintenance organizations increased by 8 percent . the enrollment on january 1 , 2017 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 2015 ?

2gain

a group of students decided to collect as many paise from each member of group as is the number of members . if the total collection amounts to rs . 92.16 , the number of the member is the group is :

0general

if a person walks at 10 km / hr instead of 5 km / hr , he would have walked 20 km more . the actual distance traveled by him is ?

0general

in a public show 75 % of the seats were filled . if there were 700 seats in the hall , how many seats were vacant ?

2gain

find the value of m 82519 x 9999 = m ?

0general

on a ranch , a rancher can place a loop of rope , called a lasso , once in every 3 throws around a cow ’ s neck . what is the probability that the rancher will be able to place a lasso around a cow ’ s neck at least once in 4 attempts ?

4probability

if one root of the equation 2 x ^ 2 + 3 x – k = 0 is 4 , what is the value of k ?

0general

4 different airplanes owned by a rock band will be refueling today at the same airport . there are 2 larger planes carrying people and 2 smaller planes carrying equipment . all tanks are empty and will need to be filled completely . the 2 smaller tanks hold 60 liters each and the larger tanks are 50 % bigger . fuel is . 50 cents a liter and there is a charge of $ 100 service for each plane . how much will it cost to fill all 4 planes ?

1physics

how many litres of pure acid are there in 12 litres of a 40 % solution

2gain

a train 100 meters long takes 6 seconds to cross a man walking at 5 kmph in the direction opposite to that of the train . find the speed of the train .

1physics

if the length of the diagonal of a square is 20 cm , then its perimeter must be

3geometry

line m lies in the xy - plane . the y - intercept of line m is - 4 , and line m passes through the midpoint of the line segment whose endpoints are ( 2 , 4 ) and ( 6 , - 8 ) . what is the slope of line m ?

0general

two pipes a and b can fill a tank in 6 hours and 4 hours respectively . if they are opened on alternate hours and if pipe a is opened first , in how many hours , the tank shall be full ?

1physics

two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train catches and completely passes the slower train in 45 seconds . what is the length of each train ( in meters ) ?

1physics

a certain lab experiments with white and brown mice only . in one experiment , 4 / 9 of the mice are brown . if there are 20 brown mice in the experiment , how many mice in total are in the experiment ?

0general

if a + b + c = 21 , what is the total number of non - negative integral solutions ?

0general

a driver goes on a trip of 60 kilometers , the first 30 kilometers at 48 kilometers per hour and the remaining distance at 24 kilometers per hour . what is the average speed of the entire trip in kilometers per hour ?

1physics

a train travelled from point a to point b at 160 km / h . on its way back the train travelled at 120 km / h and therefore the trip back lasted one hour longer . what is the distance ( in km ) between a and b ?

1physics

the length of the bridge , which a train 120 meters long and travelling at 45 km / hr can cross in 30 seconds , is ?

1physics

if a is an integer greater than 8 but less than 15 and b is an integer greater than 6 but less than 21 , what is the range of a / b ?

0general

the average ( arithmetic mean ) of the integers from 25 to 225 , inclusive , is how much lower than the average of the integers from 50 to 1050 inclusive ?

0general

8 identical machines , working alone and at their constant rates , take 6 hours to complete a job lot . how long would it take for 5 such machines to perform the same job ?

1physics

the length and breadth of a rectangle is increased by 10 % and 25 % respectively . what is the increase in the area ?. a . 27.5 %

3geometry

the sum of 3 numbers is 98 . if the ratio of the first to the second is 2 : 3 and that of the second to the third is 5 : 8 , then the second number is :

5other

if 20 men can build a water fountain 56 metres long in 42 days , what length of a similar water fountain can be built by 35 men in 3 days ?

1physics

find large number from below question the difference of two numbers is 1500 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder

0general

from below option 27 is divisible by which one ?

0general

the amounts of time that three secretaries worked on a special project are in the ratio of 2 to 3 to 5 . if they worked a combined total of 80 hours , how many hours did the secretary who worked the longest spend on the project ?

1physics

the ratio of number of boys and girls in a class is 3 : 2 . in the 1 st semester exam 20 % of boys and 25 % of girls get more than or equal to 90 % marks . what percentage of students get less than 90 % marks ?

0general

if x = 4 and y = − 2 , what is the value of ( x − 2 y ) ^ y ?

0general

an urn contains 5 red , 6 blue and 8 green balls . 4 balls are randomly selected from the urn , find the probability that the drawn ball are 1 blue and 2 red and 1 green balls ?

4probability

a car takes 6 hours to cover a distance of 504 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?

1physics

one - seventh of the light switches produced by a certain factory are defective . 4 - fifths of the defective switches are rejected and 1 / 15 of the non defective switches are rejected by mistake . if all the switches not rejected are sold , what percent of the switches sold by the factory are defective ?

0general

the average of 10 numbers is calculated as 23 . it is discovered later on that while calculating the average , one number namely 36 was wrongly read as 26 . the correct average is ?

0general

a survey was sent to 80 customers , 7 of whom responded . then the survey was redesigned and sent to another 63 customers , 9 of whom responded . by approximately what percent did the response rate increase from the original survey to the redesigned survey ?

2gain

average age of students of an adult school is 42 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students .

0general

you have been given a physical balance and 7 weights of 45 , 50 , 53 , 46 , 52 , 46 and 80 kgs . keeping weights on one pan and object on the other , what is the maximum you can weigh less than 188 kgs .

0general

a person has to make 146 pieces of long bar . he take $ seconds to cut piece . what is total time taken by him to make 146 pieces ?

1physics

a tank can supply water to a village for 60 days . if a leak at the bottom of the tank drains out 10 liters per day , the supply lasts for 45 days only . for how many days will the supply last if the leak drains out 20 liters per day ?

1physics

how many plants will be there in a circular bed whose outer edge measure 32 cms , allowing 4 cm 2 for each plant ?

1physics

he average weight of 8 persons increases by 2.5 kg when a new person comes in place of one of them weighing 60 kg . what might be the weight of the new person ?

0general

a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 65000 , then the share of b is ?

2gain

if the radius of a circle is decreased 10 % , what happens to the area ?

3geometry

average age of students of an adult school is 44 years . 120 new students whose average age is 32 years joined the school . as a result the average age is decreased by 4 years . find the number of students of the school after joining of the new students .

0general

a batsman makes a score of 87 runs in the 17 th inning and thus increases his average by 2 . find his average after 17 th inning .

0general

24 oz of juice p and 25 oz of juice v are mixed to make smothies a and y . the ratio of p to v in smothie a is 4 is to 1 and that in y is 1 is to 5 . how many ounces of juice p are contained in the smothie a ?

5other

during a certain season , a team won 60 percent of its first 100 games and 50 percent of its remaining games . if the team won 70 percent of its games for the entire season , what was the total number of games that the team played ?

2gain

in a certain pond , 20 fish were caught , tagged , and returned to the pond . a few days later , 20 fish were caught again , of which 2 were found to have been tagged . if the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond , what ` s the approximate number of fish in the pond ?

2gain

a certain bus driver is paid a regular rate of $ 18 per hour for any number of hours that does not exceed 40 hours per week . for any overtime hours worked in excess of 40 hours per week , the bus driver is paid a rate that is 75 % higher than his regular rate . if last week the bus driver earned $ 976 in total compensation , how many total hours did he work that week ?

0general

a shopkeeper buys two articles for rs . 1000 each and then sells them , making 75 % profit on the first article and 75 % loss on second article . find the net profit or loss percent ?

2gain

a spirit and water solution is sold in a market . the cost per liter of the solution is directly proportional to the part ( fraction ) of spirit ( by volume ) the solution has . a solution of 1 liter of spirit and 1 liter of water costs 50 cents . how many cents does a solution of 1 liter of spirit and 2 liters of water cost ?

3geometry

in a company of 180 employees , 110 are females . a total of 90 employees have advanced degrees and the rest have a college degree only . if 35 employees are males with a college degree only , how many employees are females with advanced degrees ?

3geometry

how many positive integers less than 8,000 are there in which the sum of the digits equals 5 ?

0general

c and d started a business by investing rs . 1000 / - and rs . 1500 / - respectively . find the d ’ s share out of a total profit of rs . 500 :

0general

a train 400 meters long completely crosses a 300 meters long bridge in 45 seconds . what is the speed of the train is ?

1physics

q and r are two - digit positive integers that have the same digits but in reverse order . if the positive difference between q and r is less than 70 , what is the greatest possible value of q minus r ?

0general

at a certain paint store forest green is made by mixing 4 parts blue paint with 3 parts yellow paint . verdant green is made by mixing 4 parts yellow paint with 3 parts blue paint . how many liters of yellow paint must be added to 7 liters of forest green to change it to verdant green ?

0general

the sum of three consecutive multiples of 3 is 90 . what is the largest number ?

0general

what will be the difference between simple and compound interest @ 25 % per annum on a sum of $ 3600 after 2 years ?

2gain

if 3 people can do 3 times of a particular work in 3 days , then how many days would it take 8 people to do 8 times of that particular work ?

1physics

a is half good a work man as b and together they finish a job in 32 days . in how many days working alone b finish the job ?

1physics

the measurement of a rectangular box with lid is 25 cmx 24 cmx 18 cm . find the volume of the largest sphere that can be inscribed in the box ( in terms of π cm 3 ) . ( hint : the lowest measure of rectangular box represents the diameter of the largest sphere )

3geometry

if the sides of a square are multiplied by 10 , the area of the original square is how many times as large as the area of the resultant square ?

3geometry

machine t takes 2 more hours than machine b to make 20 widgets . if working together , the machines can make 25 widgets in 3 hours , how long will it take machine t to make 40 widgets ?

1physics

seller selling an apple for rs . 16 , a seller loses 1 / 6 th of what it costs him . the cp of the apple is ?

0general

what is the smallest number which when increased by 3 is divisible by 9 , 70 , 25 and 21 ?

0general

carmen made a sculpture from small pieces of wood . the sculpture is 2 feet 10 inches tall . carmen places her sculpture on a base that is 8 inches tall . how tall are the sculpture andbase together ?

3geometry

an employee whose hourly wage was increased by 25 percent decided to reduce the number of hours worked per week so that the employee ' s total weekly income would remain unchanged . by what percent should the number of hours worked be reduced ?

0general

45 men working 8 hours per day dig 40 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?

1physics

there are 150 ' zeroes ' and 151 ' ones ' written on a black board . a step involves choosing 3 digits and replacing them with a single digit . if all the 3 digits are identical , they are replaced with the same digit . otherwise , the digit that appears twice replaces the 3 chosen digits . what is the minimum number of steps after which there will be no zero written on the blackboard ?

0general

a and b complete a work in 9 days . a alone can do it in 18 days . if both together can do the work in how many days ?

1physics

in a village there are 150 men and 90 women in present time . if in next year population will be p = ( a ^ 2 + b ^ 2 ) ^ 1 / 2 , and in every year men are reduces 5 % . what is population of after 2 year .

0general

if an object travels 200 feet in 4 seconds , what is the object ' s approximate speed in miles per hour ? ( note : 1 mile = 5280 feet )

1physics

a cube of side 3 meter length is cut into small cubes of side 15 cm each . how many such small cubes can be obtained ?

1physics

a hall is 15 m long and 12 m broad . if the sum of the areas of the floor and the ceiling is equal to the sum of the areas of 4 walls , the volume of the hall is :

3geometry

if the sides of a triangle are 30 cm , 28 cm and 12 cm , what is its area ?

3geometry

the avg weight of a , b & c is 84 kg . if d joins the group , the avg weight of the group becomes 80 kg . if another man e who weights is 3 kg more than d replaces a , then the avgof b , c , d & e becomes 79 kg . what is the weight of a ?

0general

if the price of a certain computer increased 30 percent from d dollars to 377 dollars , then 2 d =

0general

you have been given a physical balance and 7 weights of 52 , 50 , 48 , 44 , 45 , 46 , and 78 kgs . . keeping weights on one pan and object on the other , what is the maximum you can weigh less than 183 kgs . ?

0general

on a sum of money , the s . i . for 2 years is $ 600 , while the c . i . is $ 615 , the rate of interest being the same in both the cases . the rate of interest is ?

2gain

a is a working partner and b is a sleeping partner in the business . a puts in rs . 2000 and b rs . 3000 , a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals . out of a total profit of rs . 9600 , money received by a is ?

2gain

annie and sam set out together on bicycles traveling at 15 and 12 km per hour respectively . after 40 minutes , annie stops to fix a flat tire . if it takes annie 35 minutes to fix the flat tire and sam continues to ride during this time , how many minutes will it take annie to catch up with sam assuming that annie resumes riding at 15 km per hour ?

1physics