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

Problem stringlengths 5 967	category class label 6 classes
if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 14 % per annum then the gain of b in a period of 3 years is ?	2gain
a take twice as much time as b or thrice as much time to finish a piece of work . working together , they can finish the work in 6 days . b can do the work alone in ?	1physics
a train running at a speed of 36 km / h passes an electric pole in 14 seconds . in how many seconds will the whole train pass a 350 - meter long platform ?	1physics
mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 110 mangoes .	2gain
there are two numbers . if 20 % of the first number is added to the second number , then the second number increases to its 5 - fourth . what is the ratio of the first number to the second number ?	0general
a train is 560 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length ?	1physics
the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1600 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ?	3geometry
the average age of 28 students in a group is 11 years . when teacher ’ s age is included to it , the average increases by one . what is the teacher ’ s age in years ?	0general
a man can row his boat with the stream at 10 km / h and against the stream in 6 km / h . the man ' s rate is ?	2gain
if the product of 12 integers is negative , at most how many of the integers can be negative ?	0general
a number is said to be prime saturated if the product of all the different positive prime factors of d is less than the square root of d . what is the greatest two digit prime saturated integer ?	5other
the distance from steve ' s house to work is 28 km . on the way back steve drives twice as fast as he did on the way to work . altogether , steve is spending 6 hours a day on the roads . what is steve ' s speed on the way back from work ?	1physics
at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 2 ) . an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1 ?	0general
there are 20 players in a chess group , and each player plays each of the others once . given that each game is played by two players , how many total games will be played ?	0general
the sum of four consecutive even numbers is 36 . find the sum of the squares of these numbers ?	1physics
p is 40 % more efficient than q . p can complete a work in 24 days . if p and q work together , how many days will it take to complete the same work ?	1physics
if a person walks at 14 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance travelled by him is :	0general
( 422 + 404 ) 2 − ( 4 × 422 × 404 ) = ?	0general
the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 98 of the area of the field . what is the length of the field ?	3geometry
there are 50 players in a chess group , and each player plays each of the others once . given that each game is played by two players , how many total games will be played ?	0general
an amount of rs . 100000 is invested in two types of shares . the first yields an interest of 9 % p . a and the second , 11 % p . a . if the total interest at the end of one year is 9 1 / 4 % , then the amount invested at 11 % was ?	2gain
a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late . had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late . what is the speed y of the train .	1physics
a and b can do a piece of work in 10 days , b and c in 5 days , c and a in 15 days . how long will c take to do it ?	1physics
when 1 / 10 percent of 1,000 is subtracted from 1 / 10 of 1,000 , the difference is	0general
a rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles , all of the same size . what is the largest size of the tile which could be used for the purpose ?	3geometry
if a , b , c , d , e and f are integers and ( ab + cdef ) < 0 , then what is the maximum number e of integers that can be negative ?	0general
convert 1.3 hectares in ares	1physics
on a certain road , 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 40 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on that road exceed the posted speed limit ?	2gain
there is 60 lit of milk and water in which milk forms 84 % . howmuch water must be added to this solution to make it solution in which milk forms 54 %	2gain
a certain bus driver is paid a regular rate of $ 14 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 $ 998 in total compensation , how many total hours did he work that week ?	0general
when n is divided by 24 , the remainder is 6 . what is the remainder when 3 n is divided by 8 ?	0general
a certain debt will be paid in 40 installments from january 1 to december 31 of a certain year . each of the first 20 payments is to be $ 410 ; each of the remaining payments is to be $ 65 more than each of the first 20 payments . what is the average ( arithmetic mean ) payment that will be made on the debt for the year ?	0general
a shopkeeper buys two articles for rs . 1000 each and then sells them , making 20 % profit on the first article and 20 % loss on second article . find the net profit or loss percent ?	2gain
20 men do a work in 20 days . how many men are needed to finish the work in 4 days ?	1physics
the cost of 20 articles is equal to selling price of 10 . find the gain or loss percent ?	2gain
a man owns 2 / 3 of market reserch beauro buzness , and sells 3 / 4 of his shares for 6500 rs , what is the value of buzness ?	0general
johnny makes $ 7.35 per hour at his work . if he works 6 hours , how much money will he earn ?	1physics
find the 25 % of rs . 200 .	2gain
what is the least common multiple of 15 , 16 , and 24 ?	0general
how many integers from 101 to 800 , inclusive , remains the value unchanged when the digits were reversed ?	0general
a bowl of fruit contains 14 apples and 25 oranges . how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples ?	2gain
on july 1 of last year , total employees at company e was decreased by 10 percent . without any change in the salaries of the remaining employees , the average ( arithmetic mean ) employee salary was 10 percent more after the decrease in the number of employees than before the decrease . the total of the combined salaries of all the employees at company e after july 1 last year was what percent r of thatbeforejuly 1 last year ?	0general
3 friends a , b , c went for week end party to mcdonald ’ s restaurant and there they measure there weights in some order in 7 rounds . a , b , c , ab , bc , ac , abc . final round measure is 140 kg then find the average weight of all the 7 rounds ?	0general
the ratio of the volumes of two cubes is 8 : 27 what is the ratio of their total surface areas ?	3geometry
what is the greatest of 3 consecutive integers whose sum is 21 ?	1physics
the measure of the side of a square is multiplied by 6 . if x represents the perimeter of the original square , what is the value of the new perimeter ?	3geometry
x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 24000 . what will be the ratio in which they should share the profit at the end of the year ?	5other
if a and b get profits of rs . 4,000 and rs . 2,000 respectively at the end of year then ratio of their investments are	2gain
a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 45 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . )	0general
speed of a boat in standing water is 8 kmph and the speed of the stream is 2 kmph . a man rows to place at a distance of 210 km and comes back to the starting point . the total time taken by him is :	1physics
find the annual income derived by investing $ 6800 in 20 % stock at 136 .	2gain
if x = - 12 / 5 and y = - 6 / 7 , what is the value of the expression - 2 x – y ^ 2 ?	0general
a man can row his boat with the stream at 16 km / h and against the stream in 6 km / h . the man ' s rate is ?	2gain
if the compound interest on a certain sum of money for 4 years at 10 % per annum be rs . 993 , what would be the simple interest ?	2gain
when n is divided by 27 , the remainder is 4 . what is the remainder when n + 16 is divided by 7 ?	0general
jar a has 16 % more marbles than jar b . what percent of marbles from jar a need to be moved into jar b so that both jars have equal marbles ?	2gain
a and b started a business investing rs . 21,000 and rs . 28,000 respectively . out of a total profit of rs . 14,000 , b ’ s share is :	2gain
a merchant marks goods up by 75 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 5 % . what % discount did the merchant offer ?	2gain
find the expenditure on digging a well 14 m deep and of 3 m diameter at rs . 17 per cubic meter ?	1physics
1370 , 1320 , 1070 , x , - 6430	0general
if ( 27 / 4 ) x - 18 = 3 x + 27 what is the value of x ?	0general
if the average marks of 3 classes of 55 , 60 and 45 students respectively is 50 , 55 , 60 , then find the average marksof all the students is	0general
the batting average of a particular batsman is 63 runs in 46 innings . if the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs , find his highest score .	0general
a lady builds 10 cm length , 13 cm width , and 5 cm height box using 5 cubic cm cubes . what is the minimum number of cubes required to build the box ?	3geometry
a train 275 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?	1physics
when 2 + 3 = 65 , 3 + 4 = 125 , 4 + 5 = 205 , then 5 + 6 = ?	0general
a certain experimental mathematics program was tried out in 2 classes in each of 22 elementary schools and involved 31 teachers . each of the classes had 1 teacher and each of the teachers taught at least 1 , but not more than 3 , of the classes . if the number of teachers who taught 3 classes is n , then the least and greatest possible values of n , respectively , are	0general
a is twice as good a work man as b and together they finish a piece of work in 24 days . the number of days taken by a alone to finish the work is :	1physics
what will be the difference between simple and compound interest at 12 % per annum on a sum of rs . 1000 after 4 years ?	2gain
a train 360 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 290 m long ?	1physics
q ' = 3 q - 3 , what is the value of ( 7 ' ) ' ?	0general
find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.50 a kg to produce a mixture worth rs . 6.30 a kg	5other
a grocer has a sale of rs . 5400 , rs . 9000 , rs . 6300 , rs . 7200 and rs . 4500 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5600 ?	0general
marginal cost is the cost of increasing the quantity produced ( or purchased ) by one unit . if the fixed cost for n products is $ 12000 and the marginal cost is $ 200 , and the total cost is $ 16000 , what is the value of n ?	0general
$ 392 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ?	0general
the cyclist walking at a constant rate of 15 miles per hour is passed by a car traveling in the same direction along the same path at 60 miles per hour . the car stops to wait for the cyclist for 6 minutes after passing her , while the cyclist continues to go at her constant rate , how many minutes must the car wait until the cyclist catches up ?	1physics
the value for d = ( 0.889 × 55 ) / 9.97 to the nearest tenth is	0general
find the least number which when divided by 37 and 7 leaves a remainder of 2 in each case .	0general
a cubical tank is filled with water to a level of 1 foot . if the water in the tank occupies 16 cubic feet , to what fraction of its capacity is the tank filled with water ?	1physics
by approximately what percent is x greater than 2 / 5 if ( 3 / 5 ) ( x ) = 1 ?	0general
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 60 % more recliners . what is the percentage increase of the gross ?	0general
10 play kabadi , 25 play kho kho only , 5 play both gmaes . then how many in total ?	0general
on dividing a number by 5 , we get 5 as quotient and 0 as remainder . on dividing the same number by 11 , what will be the remainder ?	0general
if the area of a square with sides of length 8 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
the average salary of 15 people in the shipping department at a certain firm is $ 21,000 . the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 16,000 each . what is the average salary of the remaining employees ?	0general
walking at the rate of 3 kmph a man cover certain distance in 6 hr 40 min . running at a speed of 18 kmph the man will cover the same distance in .	1physics
in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of thesportformulation contains 5 ounces of corn syrup , how many ounces of water does it contain ?	5other
two brothers took the gmat exam , the higher score is u and the lower one is v . if the difference between the two scores is equal to their average , what is the value of v / u ?	0general
two trains 131 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?	1physics
in the rectangular coordinate system , if the line x = 6 y + 5 passes through points ( m , n ) and ( m + 2 , n + p ) , what is the value of p ?	0general
the temperature of a certain cup of coffee 6 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit ?	0general
a man can row his boat with the stream at 16 km / h and against the stream in 8 km / h . the man ' s rate is ?	2gain
2.09 can be expressed in terms of percentage as	0general
johnny bought 6 peanut butter cans at an average price ( arithmetic mean ) of 36.5 ¢ . if johnny returned two cans to the retailer , and the average price of the remaining cans was 30 ¢ , then what is the average price , in cents , of the two returned peanut butter cans ?	0general
a clockwise rotation around point z ( that is , a rotation in the direction of the arrow ) transforms the shaded quadrilateral to the unshaded quadrilateral . the angle of rotation is approximately	3geometry
find the compound interest on $ 66,000 at 20 % per annum for 9 months , compounded quarterly	2gain
if \| x \| = 4 x - 1 , then x = ?	0general
the length of the bridge , which a train 120 metres long and travelling at 45 km / hr can cross in 30 seconds , is ?	1physics
what is the area of an equilateral triangle whose one side length is 90 ?	3geometry
an uneducated retailer marks all his goods at 40 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ?	2gain

if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 14 % per annum then the gain of b in a period of 3 years is ?

2gain

a take twice as much time as b or thrice as much time to finish a piece of work . working together , they can finish the work in 6 days . b can do the work alone in ?

1physics

a train running at a speed of 36 km / h passes an electric pole in 14 seconds . in how many seconds will the whole train pass a 350 - meter long platform ?

1physics

mr . john used to purchase certain number of mangoes for $ 360 since the price of mangoes is reduced by 10 % he got 12 more mangoes today . find the original price of 110 mangoes .

2gain

there are two numbers . if 20 % of the first number is added to the second number , then the second number increases to its 5 - fourth . what is the ratio of the first number to the second number ?

0general

a train is 560 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length ?

1physics

the length of a rectangle is two - fifths of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1600 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ?

3geometry

the average age of 28 students in a group is 11 years . when teacher ’ s age is included to it , the average increases by one . what is the teacher ’ s age in years ?

0general

a man can row his boat with the stream at 10 km / h and against the stream in 6 km / h . the man ' s rate is ?

2gain

if the product of 12 integers is negative , at most how many of the integers can be negative ?

0general

a number is said to be prime saturated if the product of all the different positive prime factors of d is less than the square root of d . what is the greatest two digit prime saturated integer ?

5other

the distance from steve ' s house to work is 28 km . on the way back steve drives twice as fast as he did on the way to work . altogether , steve is spending 6 hours a day on the roads . what is steve ' s speed on the way back from work ?

1physics

at a certain company , each employee has a salary grade s that is at least 1 and at most 5 . each employee receives an hourly wage p , in dollars , determined by the formula p = 9.50 + 0.25 ( s – 2 ) . an employee with a salary grade of 5 receives how many more dollars per hour than an employee with a salary grade of 1 ?

0general

there are 20 players in a chess group , and each player plays each of the others once . given that each game is played by two players , how many total games will be played ?

0general

the sum of four consecutive even numbers is 36 . find the sum of the squares of these numbers ?

1physics

p is 40 % more efficient than q . p can complete a work in 24 days . if p and q work together , how many days will it take to complete the same work ?

1physics

if a person walks at 14 km / hr instead of 10 km / hr , he would have walked 20 km more . the actual distance travelled by him is :

0general

( 422 + 404 ) 2 − ( 4 × 422 × 404 ) = ?

0general

the length of the rectangular field is double its width . inside the field there is square shaped pond 8 m long . if the area of the pond is 1 / 98 of the area of the field . what is the length of the field ?

3geometry

there are 50 players in a chess group , and each player plays each of the others once . given that each game is played by two players , how many total games will be played ?

0general

an amount of rs . 100000 is invested in two types of shares . the first yields an interest of 9 % p . a and the second , 11 % p . a . if the total interest at the end of one year is 9 1 / 4 % , then the amount invested at 11 % was ?

2gain

a train after traveling for 50 km meets with an accident and then proceeds at 3 / 4 of its former speed and arrives at its destination 35 minutes late . had the accident occurred 24 km farther , it would have reached the destination only 25 minutes late . what is the speed y of the train .

1physics

a and b can do a piece of work in 10 days , b and c in 5 days , c and a in 15 days . how long will c take to do it ?

1physics

when 1 / 10 percent of 1,000 is subtracted from 1 / 10 of 1,000 , the difference is

0general

a rectangular courtyard 3.78 meters long 5.25 meters wide is to be paved exactly with square tiles , all of the same size . what is the largest size of the tile which could be used for the purpose ?

3geometry

if a , b , c , d , e and f are integers and ( ab + cdef ) < 0 , then what is the maximum number e of integers that can be negative ?

0general

convert 1.3 hectares in ares

1physics

on a certain road , 10 % of the motorists exceed the posted speed limit and receive speeding tickets , but 40 % of the motorists who exceed the posted speed limit do not receive speeding tickets . what percent of the motorists on that road exceed the posted speed limit ?

2gain

there is 60 lit of milk and water in which milk forms 84 % . howmuch water must be added to this solution to make it solution in which milk forms 54 %

2gain

a certain bus driver is paid a regular rate of $ 14 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 $ 998 in total compensation , how many total hours did he work that week ?

0general

when n is divided by 24 , the remainder is 6 . what is the remainder when 3 n is divided by 8 ?

0general

a certain debt will be paid in 40 installments from january 1 to december 31 of a certain year . each of the first 20 payments is to be $ 410 ; each of the remaining payments is to be $ 65 more than each of the first 20 payments . what is the average ( arithmetic mean ) payment that will be made on the debt for the year ?

0general

a shopkeeper buys two articles for rs . 1000 each and then sells them , making 20 % profit on the first article and 20 % loss on second article . find the net profit or loss percent ?

2gain

20 men do a work in 20 days . how many men are needed to finish the work in 4 days ?

1physics

the cost of 20 articles is equal to selling price of 10 . find the gain or loss percent ?

2gain

a man owns 2 / 3 of market reserch beauro buzness , and sells 3 / 4 of his shares for 6500 rs , what is the value of buzness ?

0general

johnny makes $ 7.35 per hour at his work . if he works 6 hours , how much money will he earn ?

1physics

find the 25 % of rs . 200 .

2gain

what is the least common multiple of 15 , 16 , and 24 ?

0general

how many integers from 101 to 800 , inclusive , remains the value unchanged when the digits were reversed ?

0general

a bowl of fruit contains 14 apples and 25 oranges . how many oranges must be removed so that 70 % of the pieces of fruit in the bowl will be apples ?

2gain

on july 1 of last year , total employees at company e was decreased by 10 percent . without any change in the salaries of the remaining employees , the average ( arithmetic mean ) employee salary was 10 percent more after the decrease in the number of employees than before the decrease . the total of the combined salaries of all the employees at company e after july 1 last year was what percent r of thatbeforejuly 1 last year ?

0general

3 friends a , b , c went for week end party to mcdonald ’ s restaurant and there they measure there weights in some order in 7 rounds . a , b , c , ab , bc , ac , abc . final round measure is 140 kg then find the average weight of all the 7 rounds ?

0general

the ratio of the volumes of two cubes is 8 : 27 what is the ratio of their total surface areas ?

3geometry

what is the greatest of 3 consecutive integers whose sum is 21 ?

1physics

the measure of the side of a square is multiplied by 6 . if x represents the perimeter of the original square , what is the value of the new perimeter ?

3geometry

x starts a business with rs . 45000 . y joins in the business after 3 months with rs . 24000 . what will be the ratio in which they should share the profit at the end of the year ?

5other

if a and b get profits of rs . 4,000 and rs . 2,000 respectively at the end of year then ratio of their investments are

2gain

a certain social security recipient will receive an annual benefit of $ 12,000 provided he has annual earnings of $ 9,360 or less , but the benefit will be reduced by $ 1 for every $ 3 of annual earnings over $ 9,360 . what amount of total annual earnings would result in a 45 percent reduction in the recipient ' s annual social security benefit ? ( assume social security benefits are not counted as part of annual earnings . )

0general

speed of a boat in standing water is 8 kmph and the speed of the stream is 2 kmph . a man rows to place at a distance of 210 km and comes back to the starting point . the total time taken by him is :

1physics

find the annual income derived by investing $ 6800 in 20 % stock at 136 .

2gain

if x = - 12 / 5 and y = - 6 / 7 , what is the value of the expression - 2 x – y ^ 2 ?

0general

a man can row his boat with the stream at 16 km / h and against the stream in 6 km / h . the man ' s rate is ?

2gain

if the compound interest on a certain sum of money for 4 years at 10 % per annum be rs . 993 , what would be the simple interest ?

2gain

when n is divided by 27 , the remainder is 4 . what is the remainder when n + 16 is divided by 7 ?

0general

jar a has 16 % more marbles than jar b . what percent of marbles from jar a need to be moved into jar b so that both jars have equal marbles ?

2gain

a and b started a business investing rs . 21,000 and rs . 28,000 respectively . out of a total profit of rs . 14,000 , b ’ s share is :

2gain

a merchant marks goods up by 75 % and then offers a discount on the marked price . the profit that the merchant makes after offering the discount is 5 % . what % discount did the merchant offer ?

2gain

find the expenditure on digging a well 14 m deep and of 3 m diameter at rs . 17 per cubic meter ?

1physics

1370 , 1320 , 1070 , x , - 6430

0general

if ( 27 / 4 ) x - 18 = 3 x + 27 what is the value of x ?

0general

if the average marks of 3 classes of 55 , 60 and 45 students respectively is 50 , 55 , 60 , then find the average marksof all the students is

0general

the batting average of a particular batsman is 63 runs in 46 innings . if the difference in his highest and lowest score is 150 runs and his average excluding these two innings is 58 runs , find his highest score .

0general

a lady builds 10 cm length , 13 cm width , and 5 cm height box using 5 cubic cm cubes . what is the minimum number of cubes required to build the box ?

3geometry

a train 275 m long is running with a speed of 60 km / hr . in what time will it pass a man who is running at 6 km / hr in the direction opposite to that in which the train is going ?

1physics

when 2 + 3 = 65 , 3 + 4 = 125 , 4 + 5 = 205 , then 5 + 6 = ?

0general

a certain experimental mathematics program was tried out in 2 classes in each of 22 elementary schools and involved 31 teachers . each of the classes had 1 teacher and each of the teachers taught at least 1 , but not more than 3 , of the classes . if the number of teachers who taught 3 classes is n , then the least and greatest possible values of n , respectively , are

0general

a is twice as good a work man as b and together they finish a piece of work in 24 days . the number of days taken by a alone to finish the work is :

1physics

what will be the difference between simple and compound interest at 12 % per annum on a sum of rs . 1000 after 4 years ?

2gain

a train 360 m long is running at a speed of 45 km / hr . in what time will it pass a bridge 290 m long ?

1physics

q ' = 3 q - 3 , what is the value of ( 7 ' ) ' ?

0general

find the ratio in which rice at rs . 7.20 a kg be mixed with rice at rs . 5.50 a kg to produce a mixture worth rs . 6.30 a kg

5other

a grocer has a sale of rs . 5400 , rs . 9000 , rs . 6300 , rs . 7200 and rs . 4500 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 5600 ?

0general

marginal cost is the cost of increasing the quantity produced ( or purchased ) by one unit . if the fixed cost for n products is $ 12000 and the marginal cost is $ 200 , and the total cost is $ 16000 , what is the value of n ?

0general

$ 392 is divided among a , b , and c so that a receives half as much as b , and b receives half as much as c . how much money is c ' s share ?

0general

the cyclist walking at a constant rate of 15 miles per hour is passed by a car traveling in the same direction along the same path at 60 miles per hour . the car stops to wait for the cyclist for 6 minutes after passing her , while the cyclist continues to go at her constant rate , how many minutes must the car wait until the cyclist catches up ?

1physics

the value for d = ( 0.889 × 55 ) / 9.97 to the nearest tenth is

0general

find the least number which when divided by 37 and 7 leaves a remainder of 2 in each case .

0general

a cubical tank is filled with water to a level of 1 foot . if the water in the tank occupies 16 cubic feet , to what fraction of its capacity is the tank filled with water ?

1physics

by approximately what percent is x greater than 2 / 5 if ( 3 / 5 ) ( x ) = 1 ?

0general

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 60 % more recliners . what is the percentage increase of the gross ?

0general

10 play kabadi , 25 play kho kho only , 5 play both gmaes . then how many in total ?

0general

on dividing a number by 5 , we get 5 as quotient and 0 as remainder . on dividing the same number by 11 , what will be the remainder ?

0general

if the area of a square with sides of length 8 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

the average salary of 15 people in the shipping department at a certain firm is $ 21,000 . the salary of 5 of the employees is $ 25,000 each and the salary of 4 of the employees is $ 16,000 each . what is the average salary of the remaining employees ?

0general

walking at the rate of 3 kmph a man cover certain distance in 6 hr 40 min . running at a speed of 18 kmph the man will cover the same distance in .

1physics

in the standard formulation of a flavored drink the ratio by volume of flavoring to corn syrup to water is 1 : 12 : 30 . in the sport formulation , the ratio of flavoring to corn syrup is three times as great as in the standard formulation , and the ratio of flavoring to water is half that of the standard formulation . if a large bottle of thesportformulation contains 5 ounces of corn syrup , how many ounces of water does it contain ?

5other

two brothers took the gmat exam , the higher score is u and the lower one is v . if the difference between the two scores is equal to their average , what is the value of v / u ?

0general

two trains 131 meters and 165 meters in length respectively are running in opposite directions , one at the rate of 80 km and the other at the rate of 65 kmph . in what time will they be completely clear of each other from the moment they meet ?

1physics

in the rectangular coordinate system , if the line x = 6 y + 5 passes through points ( m , n ) and ( m + 2 , n + p ) , what is the value of p ?

0general

the temperature of a certain cup of coffee 6 minutes after it was poured was 120 degrees fahrenheit . if the temperature f of the coffee t minutes after it was poured can be determined by the formula f = 120 * 2 ^ ( - at ) + 60 , where f is in degrees fahrenheit and a is a constant . then the temperature of the coffee 30 minutes after it was poured was how many degrees fahrenheit ?

0general

a man can row his boat with the stream at 16 km / h and against the stream in 8 km / h . the man ' s rate is ?

2gain

2.09 can be expressed in terms of percentage as

0general

johnny bought 6 peanut butter cans at an average price ( arithmetic mean ) of 36.5 ¢ . if johnny returned two cans to the retailer , and the average price of the remaining cans was 30 ¢ , then what is the average price , in cents , of the two returned peanut butter cans ?

0general

a clockwise rotation around point z ( that is , a rotation in the direction of the arrow ) transforms the shaded quadrilateral to the unshaded quadrilateral . the angle of rotation is approximately

3geometry

find the compound interest on $ 66,000 at 20 % per annum for 9 months , compounded quarterly

2gain

if | x | = 4 x - 1 , then x = ?

0general

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

1physics

what is the area of an equilateral triangle whose one side length is 90 ?

3geometry

an uneducated retailer marks all his goods at 40 % above the cost price and thinking that he will still make 25 % profit , offers a discount of 25 % on the marked price . what is his actual profit on the sales ?

2gain