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

Problem stringlengths 5 967	category class label 6 classes
on dividing a number by 999 , the quotient is 366 and the remainder is 103 . the number is :	0general
one - third less than 20 % of 180 is equal to :	0general
the area of a square field is 576 km 2 . how long will it take for a horse to run around at the speed of 12 km / h ?	3geometry
a and b complete a work in 6 days . a can alone can do it in 10 days . if both can together can do the work in how many days ?	1physics
suppose you work for a manufacturing plant that pays you $ 12.50 an hour plus $ 0.16 for each widget you make . how many widgets must you produce in a 40 hour week to earn $ 620 ( before payroll deductions ) ?	1physics
what is the distance covered by a car if it travels with a speed of 160 kmh for 5 hours ?	1physics
a cricketer scored 132 runs which included 12 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets .	0general
a can do a piece of work in 80 days and b in 100 days . they work together for 20 days and then b goes away . in how many days will a finish the remaining work ?	1physics
pumps a , b , and c operate at their respective constant rates . pumps a and b , operating simultaneously , can fill a certain tank in 6 / 5 hours ; pumps a and c , operating simultaneously , can fill the tank in 3 / 2 hours ; and pumps b and c , operating simultaneously , can fill the tank in 1 hours . how many hours does it take pumps a , b , and c , operating simultaneously , to fill the tank .	1physics
the marks obtained by polly and sandy are in the ratio 4 : 5 and those obtained by sandy and willy are in the ratio of 5 : 2 . the marks obtained by polly and willy are in the ratio of . . . ?	5other
in a certain supermarket , a triangular display of cans is arranged in 9 rows , numbered 1 through 9 from top to bottom . each successively numbered row contains 3 more cans than the row immediately above it . if there are fewer than 120 cans in the entire display , how many cans are in the six row ?	0general
a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 168 , how many hours overtime did he work ?	1physics
if a is thrice as fast as b and together can do a work in 21 days . in how many days a alone can do the work ?	1physics
if the number 98348 * 0 is exactly divisible by 72 , then the minimum value of * is ?	0general
at a local appliance manufacturing facility , the workers received a 20 % hourly pay raise due to extraordinary performance . if one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged , by approximately what percent would he reduce the number of hours that he worked ?	2gain
a reduction of 12 % in the price of oil enables a house wife to obtain 6 kgs more for rs . 1200 , what is the reduced price for kg ?	2gain
find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm ?	3geometry
dick and jane each saved $ 3,000 in 1989 . in 1990 dick saved 8 percent more than in 1989 , and together he and jane saved a total of $ 5,000 . approximately what percent less did jane save in 1990 than in 1989 ?	0general
the average of temperatures at noontime from monday to friday is 40 ; the lowest one is 30 , what is the possible maximum range of the temperatures ?	0general
in a parallelogram , the length of one diagonal and the perpendicular dropped on that diagonal are 30 and 20 metres respectively . find its area	3geometry
a card is drawn from a pack of 52 cards . the probability of getting a queen of spade or an ace of club is :	4probability
in a certain game , a large bag is filled with blue , green , purple and red chips worth 1 , 5 , x and 11 points each , respectively . the purple chips are worth more than the green chips , but less than the red chips . a certain number of chips are then selected from the bag . if the product of the point values of the selected chips is 11,000 , how many purple chips were selected ?	0general
find large number from below question the difference of two numbers is 1370 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder	0general
a , b and c started a partnership business by investing rs . 8000 , rs . 4000 , rs . 2000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ?	2gain
find the area of the quadrilateral of one of its diagonals is 24 cm and its off sets 9 cm and 6 cm ?	3geometry
the average monthly salary of 18 employees in an organisation is rs . 2000 . if the manager ' s salary is added , then the average salary increases by rs . 200 . what is the manager ' s monthly salary ?	0general
what is the leastvalue of x . so that 23 x 57 is divisible by 3 ?	0general
a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 4000 . the difference between the profit shares of a and c is ?	2gain
in an election between the two candidates , the candidates who gets 70 % of votes polled is winned by 320 vote ’ s majority . what is the total number of votes polled ?	2gain
what least number must be added to 1100 , so that the sum is completely divisible by 23 ?	0general
( 3136 + 6160 ) / 28	0general
a train 280 m long , running with a speed of 72 km / hr will pass a tree in	1physics
a man swims downstream 24 km and upstream 12 km taking 6 hours each time , what is the speed of the man in still water ?	1physics
s is a set of 45 consecutive multiples of 5 . if the smallest number in s is 55 , then the greatest number in s is	0general
the sum of ages of 6 children born at the intervals of 3 years each is 75 years . what is the age of the youngest child ?	0general
the sum of three consecutive integers is 312 . what is the sum of the next three consecutive integers ?	0general
a can fill tank in 9 minutes , b can empty the tank in 18 minutes . . in what time the tank be filled , if both pipes work simultaneously ?	1physics
if you spend 1 / 4 of your salary during the first week of the month and 20 % of it during each of the coming 3 weeks , what part ( fraction ) of your salary will leave unspent at the end of the month ?	2gain
find the l . c . m of 16 , 25 , 24 and 10 .	1physics
a bag contains 6 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is	5other
in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 2000 , the number of valid votes that the other candidate got , was :	2gain
a man â € ™ s current age is ( 2 / 5 ) of the age of his father . after 14 years , he will be ( 1 / 2 ) of the age of his father . what is the age of father at now ?	0general
at a certain committee meeting only associate professors and assistant professors are present . each associate professor has brought 2 pencils and 1 chart to the meeting , while each assistant professor has brought 1 pencil and 2 charts . if a total of 10 pencils and 5 charts have been brought to the meeting , how many people are present ?	0general
a set of consecutive positive integers beginning with 1 is written on the blackboard . a student came along and erased one number . the average of the remaining numbers is 35 7 / 17 . what was the number erased ?	0general
a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 4 inches wide on each side , the total area would have been ( m + 90 ) square inches . what is the perimeter of the photograph , in inches ?	3geometry
manoj borrowed rs . 3900 from anwar at 6 % p . a . simple interest for 3 years . he then added some more money to the borrowed sum and lent it to ramu for the same time at 9 % p . a . simple interest . if manoj gains rs . 824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction , then what is the sum lent by him to ramu ?	2gain
two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 2.10 km and 1.4 km respectively . the time taken by the slower train to cross the faster train in seconds is ?	1physics
the arithmetic mean and standard deviation of a certain normal distribution are 10.5 and 1 , respectively . what value is exactly 2 standard deviations less than the mean ?	0general
what is the measure of the angle e made by the diagonals of the any adjacent sides of a cube .	3geometry
if albert ’ s monthly earnings rise by 20 % , he would earn $ 560 . if , instead , his earnings rise by only 21 % , how much ( in $ ) would he earn this month ?	2gain
a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 30 % . their gross income from sales for one month increases by what percent ?	2gain
324 ã · ? ã — 15 + 270 = 405	0general
the cash difference between the selling prices of an article at a profit of 4 % and 6 % is rs . 3 . the ratio of the two selling prices is ?	2gain
lovely shop runs a sale on goldfish and platys . if one customer buys 13 goldfish and 12 platys for $ 5.60 , and another buys 14 goldfish and 21 platys for $ 8.05 , what is the ratio of the price of goldfish to platys ?	5other
a football team lost 5 yards and then gained 9 . what is the team ' s progress ?	2gain
in expressing a length 810472 km as nearly as possible with 3 significant digits , find the percentage error .	0general
the amount of an investment will double in approximately 70 / p years , where p is the percent interest , compounded annually . if thelma invests $ 40,000 in a long - term cd that pays 5 percent interest , compounded annually , what will be the approximate total value of the investment when thelma is ready to retire 42 years later ?	0general
140 college students were asked in a survey if they preferred windows or mac brand computers . 80 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 50 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ?	5other
there are 5 more women than there are men on a local co - ed softball team . if there are a total of 15 players on the team , what is the ratio of men to women ?	0general
each factor of 210 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 42 ?	5other
a can do a work in 3 days . b can do in 6 days . if both a & b are working together in how many days they can finish the work ?	1physics
the population of a village is 6000 . it decreases annually at the rate of 10 % p . a . what will be its population after 2 years ?	2gain
what is the value of 3 x ^ 2 − 2 x + 0.3 for x = 0.5 ?	0general
excluding the stoppages , the speed of a bus is 64 km / hr and including the stoppages the speed of the bus is 48 km / hr . for how many minutes does the bus stop per hour ?	1physics
an analysis of the monthly incentives received by 5 salesmen : the mean and median of the incentives is $ 7000 . the only mode among the observations is $ 12000 . incentives paid to each salesman were in full thousands . what is the difference z between the highest and the lowest incentive received by the 5 salesmen in the month ?	0general
6000 , 1200 , 300 , 60 . . .	0general
the ratio of 2 numbers is 10 : 20 and their h . c . f . is 100 . their l . c . m . is ?	5other
if the numbers 1 to 97 are written on 97 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ?	5other
3.5 can be expressed in terms of percentage as ?	0general
a rectangular photograph is surrounded by a border that is 2 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 4 inches wide on each side , the total area would have been ( m + 94 ) square inches . what is the perimeter of the photograph , in inches ?	3geometry
an inspector rejects 15 % of the meters as defective . how many will he examine to reject 10 ?	2gain
the average of 10 numbers is calculated as 16 . it is discovered later on that while calculating the average , the number 35 was incorrectly read as 25 , and this incorrect number was used in the calculation . what is the correct average ?	0general
a gambler bought $ 4,000 worth of chips at a casino in denominations of $ 20 and $ 100 . that evening , the gambler lost 16 chips , and then cashed in the remainder . if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ?	0general
there are 600 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ?	2gain
when 3 fair coins are tossed together , what is the probability of getting 2 tails ?	4probability
the ratio of two cow a , b milk is 5 : 3.3 kg milk of cow a get distributed and 1 kg milk of cow b get distributed . now , 8 kg milk of cow b left . now what is the ratio of cow a and b left milk ?	5other
a tank is filled by 3 pipes a , b , c in 8 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 car travels at a speed of 75 miles per hour . how far will it travel in 5 hours ?	1physics
angelina walked 150 meters from her home to the grocery at a constant speed . she then walked 200 meters to the gym at double the speed . she spent 10 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ?	1physics
a cylinder of height h is 5 / 6 of water . when all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder , the new cylinder is 3 / 5 full . the height of the new cylinder is what percent of h ?	2gain
a library has an average of 510 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is ?	0general
a train running at the speed of 30 km / hr crosses a pole in 9 seconds . find the length of the train ?	1physics
if 8 men or 12 women can do a piece of work in 15 days , in how many days can the same work be done by 6 men and 11 women ?	1physics
a train 200 m long running at 72 kmph crosses a platform in 25 sec . what is the length of the platform ?	1physics
what is the rate percent when the simple interest on rs . 9100 amount to rs . 455 in 3 years ?	2gain
the length of a train and that of a platform are equal . if with a speed of 126 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?	1physics
laura took out a charge account at the general store and agreed to pay 7 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ?	0general
a dishonest dealer professes to sell goods at the cost price but uses a weight of 852 grams per kg , what is his percent ?	2gain
a man walks at a rate of 10 mph . after every ten miles , he rests for 6 minutes . how much time does he take to walk 60 miles ?	1physics
the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 15 . find the sum :	2gain
r is the set of positive odd integers less than 40 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ?	1physics
a square and an equilateral triangle have the same perimeter . what is the ratio of the area of the circle circumscribing the square to the area of the circle inscribed in the triangle ?	3geometry
10 is subtracted from 50 % of a number , the result is 25 . find the number ?	2gain
a bag holds 3 red marbles and 3 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ?	5other
a cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 5 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?	1physics
the value of a machine depreciates at 20 % per annum . if its present value is rs . 1 , 50,000 , at what price should it be sold after two years such that a profit of rs . 24,000 is made ?	2gain
a tank can supply water to a village for 100 days . if a leak at the bottom of the tank drains out 10 liters per day , the supply lasts for 75 days only . for how many days will the supply last if the leak drains out 20 liters per day ?	1physics
if x + y = 2 x + 2 z , x - 2 y = 2 z and x + y + z = 21 , what is the value of y / z ?	0general
a 300 meter long train crosses a platform in 36 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?	1physics
the ratio of pens to pencils is 5 to 6 . there are 9 more pencils than pens . how many pencils are there ?	5other

on dividing a number by 999 , the quotient is 366 and the remainder is 103 . the number is :

0general

one - third less than 20 % of 180 is equal to :

0general

the area of a square field is 576 km 2 . how long will it take for a horse to run around at the speed of 12 km / h ?

3geometry

a and b complete a work in 6 days . a can alone can do it in 10 days . if both can together can do the work in how many days ?

1physics

suppose you work for a manufacturing plant that pays you $ 12.50 an hour plus $ 0.16 for each widget you make . how many widgets must you produce in a 40 hour week to earn $ 620 ( before payroll deductions ) ?

1physics

what is the distance covered by a car if it travels with a speed of 160 kmh for 5 hours ?

1physics

a cricketer scored 132 runs which included 12 boundaries and 2 sixes . what percent of his total score did he make by running between the wickets .

0general

a can do a piece of work in 80 days and b in 100 days . they work together for 20 days and then b goes away . in how many days will a finish the remaining work ?

1physics

pumps a , b , and c operate at their respective constant rates . pumps a and b , operating simultaneously , can fill a certain tank in 6 / 5 hours ; pumps a and c , operating simultaneously , can fill the tank in 3 / 2 hours ; and pumps b and c , operating simultaneously , can fill the tank in 1 hours . how many hours does it take pumps a , b , and c , operating simultaneously , to fill the tank .

1physics

the marks obtained by polly and sandy are in the ratio 4 : 5 and those obtained by sandy and willy are in the ratio of 5 : 2 . the marks obtained by polly and willy are in the ratio of . . . ?

5other

in a certain supermarket , a triangular display of cans is arranged in 9 rows , numbered 1 through 9 from top to bottom . each successively numbered row contains 3 more cans than the row immediately above it . if there are fewer than 120 cans in the entire display , how many cans are in the six row ?

0general

a man ' s regular pay is $ 3 per hour up to 40 hours . overtime is twice the payment for regular time . if he was paid $ 168 , how many hours overtime did he work ?

1physics

if a is thrice as fast as b and together can do a work in 21 days . in how many days a alone can do the work ?

1physics

if the number 98348 * 0 is exactly divisible by 72 , then the minimum value of * is ?

0general

at a local appliance manufacturing facility , the workers received a 20 % hourly pay raise due to extraordinary performance . if one worker decided to reduce the number of hours that he worked so that his overall pay would remain unchanged , by approximately what percent would he reduce the number of hours that he worked ?

2gain

a reduction of 12 % in the price of oil enables a house wife to obtain 6 kgs more for rs . 1200 , what is the reduced price for kg ?

2gain

find the area of a rhombus whose side is 25 cm and one of the diagonals is 30 cm ?

3geometry

dick and jane each saved $ 3,000 in 1989 . in 1990 dick saved 8 percent more than in 1989 , and together he and jane saved a total of $ 5,000 . approximately what percent less did jane save in 1990 than in 1989 ?

0general

the average of temperatures at noontime from monday to friday is 40 ; the lowest one is 30 , what is the possible maximum range of the temperatures ?

0general

in a parallelogram , the length of one diagonal and the perpendicular dropped on that diagonal are 30 and 20 metres respectively . find its area

3geometry

a card is drawn from a pack of 52 cards . the probability of getting a queen of spade or an ace of club is :

4probability

in a certain game , a large bag is filled with blue , green , purple and red chips worth 1 , 5 , x and 11 points each , respectively . the purple chips are worth more than the green chips , but less than the red chips . a certain number of chips are then selected from the bag . if the product of the point values of the selected chips is 11,000 , how many purple chips were selected ?

0general

find large number from below question the difference of two numbers is 1370 . on dividing the larger number by the smaller , we get 6 as quotient and the 15 as remainder

0general

a , b and c started a partnership business by investing rs . 8000 , rs . 4000 , rs . 2000 respectively . at the end of the year , the profit were distributed among them . if c ' s share of profit is 36000 , what is the total profit ?

2gain

find the area of the quadrilateral of one of its diagonals is 24 cm and its off sets 9 cm and 6 cm ?

3geometry

the average monthly salary of 18 employees in an organisation is rs . 2000 . if the manager ' s salary is added , then the average salary increases by rs . 200 . what is the manager ' s monthly salary ?

0general

what is the leastvalue of x . so that 23 x 57 is divisible by 3 ?

0general

a , b and c started a business with capitals of rs . 8000 , rs . 10000 and rs . 12000 respectively . at the end of the year , the profit share of b is rs . 4000 . the difference between the profit shares of a and c is ?

2gain

in an election between the two candidates , the candidates who gets 70 % of votes polled is winned by 320 vote ’ s majority . what is the total number of votes polled ?

2gain

what least number must be added to 1100 , so that the sum is completely divisible by 23 ?

0general

( 3136 + 6160 ) / 28

0general

a train 280 m long , running with a speed of 72 km / hr will pass a tree in

1physics

a man swims downstream 24 km and upstream 12 km taking 6 hours each time , what is the speed of the man in still water ?

1physics

s is a set of 45 consecutive multiples of 5 . if the smallest number in s is 55 , then the greatest number in s is

0general

the sum of ages of 6 children born at the intervals of 3 years each is 75 years . what is the age of the youngest child ?

0general

the sum of three consecutive integers is 312 . what is the sum of the next three consecutive integers ?

0general

a can fill tank in 9 minutes , b can empty the tank in 18 minutes . . in what time the tank be filled , if both pipes work simultaneously ?

1physics

if you spend 1 / 4 of your salary during the first week of the month and 20 % of it during each of the coming 3 weeks , what part ( fraction ) of your salary will leave unspent at the end of the month ?

2gain

find the l . c . m of 16 , 25 , 24 and 10 .

1physics

a bag contains 6 green and 8 white balls . if two balls are drawn simultaneously , the probability that both are of the same colour is

5other

in an election between two candidates , one got 55 % of the total valid votes , 20 % of the votes were invalid . if the total number of votes was 2000 , the number of valid votes that the other candidate got , was :

2gain

a man â € ™ s current age is ( 2 / 5 ) of the age of his father . after 14 years , he will be ( 1 / 2 ) of the age of his father . what is the age of father at now ?

0general

at a certain committee meeting only associate professors and assistant professors are present . each associate professor has brought 2 pencils and 1 chart to the meeting , while each assistant professor has brought 1 pencil and 2 charts . if a total of 10 pencils and 5 charts have been brought to the meeting , how many people are present ?

0general

a set of consecutive positive integers beginning with 1 is written on the blackboard . a student came along and erased one number . the average of the remaining numbers is 35 7 / 17 . what was the number erased ?

0general

a rectangular photograph is surrounded by a border that is 1 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 4 inches wide on each side , the total area would have been ( m + 90 ) square inches . what is the perimeter of the photograph , in inches ?

3geometry

manoj borrowed rs . 3900 from anwar at 6 % p . a . simple interest for 3 years . he then added some more money to the borrowed sum and lent it to ramu for the same time at 9 % p . a . simple interest . if manoj gains rs . 824.85 by way of interest on the borrowed sum as well as his own amount from the whole transaction , then what is the sum lent by him to ramu ?

2gain

two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 2.10 km and 1.4 km respectively . the time taken by the slower train to cross the faster train in seconds is ?

1physics

the arithmetic mean and standard deviation of a certain normal distribution are 10.5 and 1 , respectively . what value is exactly 2 standard deviations less than the mean ?

0general

what is the measure of the angle e made by the diagonals of the any adjacent sides of a cube .

3geometry

if albert ’ s monthly earnings rise by 20 % , he would earn $ 560 . if , instead , his earnings rise by only 21 % , how much ( in $ ) would he earn this month ?

2gain

a couple who own an appliance store discover that if they advertise a sales discount of 10 % on every item in the store , at the end of one month the number of total items sold increases 30 % . their gross income from sales for one month increases by what percent ?

2gain

324 ã · ? ã — 15 + 270 = 405

0general

the cash difference between the selling prices of an article at a profit of 4 % and 6 % is rs . 3 . the ratio of the two selling prices is ?

2gain

lovely shop runs a sale on goldfish and platys . if one customer buys 13 goldfish and 12 platys for $ 5.60 , and another buys 14 goldfish and 21 platys for $ 8.05 , what is the ratio of the price of goldfish to platys ?

5other

a football team lost 5 yards and then gained 9 . what is the team ' s progress ?

2gain

in expressing a length 810472 km as nearly as possible with 3 significant digits , find the percentage error .

0general

the amount of an investment will double in approximately 70 / p years , where p is the percent interest , compounded annually . if thelma invests $ 40,000 in a long - term cd that pays 5 percent interest , compounded annually , what will be the approximate total value of the investment when thelma is ready to retire 42 years later ?

0general

140 college students were asked in a survey if they preferred windows or mac brand computers . 80 students claimed that they preferred mac to windows brand computers . one third as many of the students who preferred mac to windows , equally preferred both brands . 50 of the students had no preference . how many of the students in the survey preferred windows to mac brand computers ?

5other

there are 5 more women than there are men on a local co - ed softball team . if there are a total of 15 players on the team , what is the ratio of men to women ?

0general

each factor of 210 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 42 ?

5other

a can do a work in 3 days . b can do in 6 days . if both a & b are working together in how many days they can finish the work ?

1physics

the population of a village is 6000 . it decreases annually at the rate of 10 % p . a . what will be its population after 2 years ?

2gain

what is the value of 3 x ^ 2 − 2 x + 0.3 for x = 0.5 ?

0general

excluding the stoppages , the speed of a bus is 64 km / hr and including the stoppages the speed of the bus is 48 km / hr . for how many minutes does the bus stop per hour ?

1physics

an analysis of the monthly incentives received by 5 salesmen : the mean and median of the incentives is $ 7000 . the only mode among the observations is $ 12000 . incentives paid to each salesman were in full thousands . what is the difference z between the highest and the lowest incentive received by the 5 salesmen in the month ?

0general

6000 , 1200 , 300 , 60 . . .

0general

the ratio of 2 numbers is 10 : 20 and their h . c . f . is 100 . their l . c . m . is ?

5other

if the numbers 1 to 97 are written on 97 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ?

5other

3.5 can be expressed in terms of percentage as ?

0general

a rectangular photograph is surrounded by a border that is 2 inch wide on each side . the total area of the photograph and the border is m square inches . if the border had been 4 inches wide on each side , the total area would have been ( m + 94 ) square inches . what is the perimeter of the photograph , in inches ?

3geometry

an inspector rejects 15 % of the meters as defective . how many will he examine to reject 10 ?

2gain

the average of 10 numbers is calculated as 16 . it is discovered later on that while calculating the average , the number 35 was incorrectly read as 25 , and this incorrect number was used in the calculation . what is the correct average ?

0general

a gambler bought $ 4,000 worth of chips at a casino in denominations of $ 20 and $ 100 . that evening , the gambler lost 16 chips , and then cashed in the remainder . if the number of $ 20 chips lost was 2 more or 2 less than the number of $ 100 chips lost , what is the largest amount of money that the gambler could have received back ?

0general

there are 600 employees in a room . 99 % are managers . how many managers must leave the room to bring down the percentage of managers to 98 % ?

2gain

when 3 fair coins are tossed together , what is the probability of getting 2 tails ?

4probability

the ratio of two cow a , b milk is 5 : 3.3 kg milk of cow a get distributed and 1 kg milk of cow b get distributed . now , 8 kg milk of cow b left . now what is the ratio of cow a and b left milk ?

5other

a tank is filled by 3 pipes a , b , c in 8 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 car travels at a speed of 75 miles per hour . how far will it travel in 5 hours ?

1physics

angelina walked 150 meters from her home to the grocery at a constant speed . she then walked 200 meters to the gym at double the speed . she spent 10 seconds less on her way from the grocery to the gym than on her way from home to the grocery . what was angelina ' s speed , in meters per second , from the grocery to the gym ?

1physics

a cylinder of height h is 5 / 6 of water . when all of the water is poured into an empty cylinder whose radius is 25 percent larger than that of the original cylinder , the new cylinder is 3 / 5 full . the height of the new cylinder is what percent of h ?

2gain

a library has an average of 510 visitors on sundays and 240 on other days . the average number of visitors per day in a month of 30 days beginning with a sunday is ?

0general

a train running at the speed of 30 km / hr crosses a pole in 9 seconds . find the length of the train ?

1physics

if 8 men or 12 women can do a piece of work in 15 days , in how many days can the same work be done by 6 men and 11 women ?

1physics

a train 200 m long running at 72 kmph crosses a platform in 25 sec . what is the length of the platform ?

1physics

what is the rate percent when the simple interest on rs . 9100 amount to rs . 455 in 3 years ?

2gain

the length of a train and that of a platform are equal . if with a speed of 126 k / hr , the train crosses the platform in one minute , then the length of the train ( in meters ) is ?

1physics

laura took out a charge account at the general store and agreed to pay 7 % simple annual interest . if she charges $ 35 on her account in january , how much will she owe a year later , assuming she does not make any additional charges or payments ?

0general

a dishonest dealer professes to sell goods at the cost price but uses a weight of 852 grams per kg , what is his percent ?

2gain

a man walks at a rate of 10 mph . after every ten miles , he rests for 6 minutes . how much time does he take to walk 60 miles ?

1physics

the difference between compound interest and simple interest on a certain amount of money at 5 % per annum for 2 years is 15 . find the sum :

2gain

r is the set of positive odd integers less than 40 , and s is the set of the squares of the integers in r . how many elements does the intersection of r and s contain ?

1physics

a square and an equilateral triangle have the same perimeter . what is the ratio of the area of the circle circumscribing the square to the area of the circle inscribed in the triangle ?

3geometry

10 is subtracted from 50 % of a number , the result is 25 . find the number ?

2gain

a bag holds 3 red marbles and 3 green marbles . if you removed two randomly selected marbles from the bag , without replacement , what is the probability that both would be red ?

5other

a cistern can be filled by a tap in 3 hours while it can be emptied by another tap in 5 hours . if both the taps are opened simultaneously , then after how much time will the cistern get filled ?

1physics

the value of a machine depreciates at 20 % per annum . if its present value is rs . 1 , 50,000 , at what price should it be sold after two years such that a profit of rs . 24,000 is made ?

2gain

a tank can supply water to a village for 100 days . if a leak at the bottom of the tank drains out 10 liters per day , the supply lasts for 75 days only . for how many days will the supply last if the leak drains out 20 liters per day ?

1physics

if x + y = 2 x + 2 z , x - 2 y = 2 z and x + y + z = 21 , what is the value of y / z ?

0general

a 300 meter long train crosses a platform in 36 seconds while it crosses a signal pole in 18 seconds . what is the length of the platform ?

1physics

the ratio of pens to pencils is 5 to 6 . there are 9 more pencils than pens . how many pencils are there ?

5other