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

Problem stringlengths 5 967	category class label 6 classes
what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 2 , 3 and 5 ?	3geometry
the price of 10 chairs is equal to that of 4 tables . the price of 15 chairs and 2 tables together is rs . 4000 . the total price of 12 chairs and 3 tables is	0general
if there is an equal probability of a child being born a boy or a girl , what is the probability that a couple who have 7 children have two children of the same sex and one of the opposite sex ?	0general
instead of multiplying a number by 2 , the number is divided by 10 . what is the percentage of error obtained ?	0general
for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 90 units raises the average to 54 units per day , what is the value of n ?	0general
the cash difference between the selling prices of an article at a profit of 2 % and 4 % is rs 3 . the ratio of two selling prices is	2gain
jose completes a piece of work in 10 days , raju completes the same work in 40 days . if both of them work together , then the number of days required to complete the work is	1physics
wilson can eat 25 marshmallows is 20 minutes . dylan can eat 25 in one hour . in how much time will the two eat 150 marshmallows ?	1physics
5 men and 12 boys finish a piece of work in 4 days , 7 men and 6 boys do it in 5 days . the ratio between the efficiencies of a man and boy is ?	1physics
the volume of the largest right circular cone that can be cut out of a cube of edge 7 cm is :	3geometry
two trains of length 100 meters and 200 meters are 140 meters apart . they are moving towards each other on parallel tracks , at speeds of 54 km / h and 72 km / h . after how many seconds will the trains meet ?	1physics
two trains start simultaneously from opposite ends of a 140 - km route and travel toward each other on parallel tracks . train x , traveling at a constant rate , completes the 140 - km trip in 4 hours . train y , travelling at a constant rate , completes the 140 - km trip in 3 hours . how many kilometers had train x traveled when it met train y ?	1physics
the year next to 1991 having the same calendar as that of 1990 is –	0general
find ( 7 x + 6 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ?	0general
a car was driving at 72 km / h for 20 minutes , and then at 81 km / h for another 40 minutes . what was its average speed ?	0general
a , b and c can do a piece of work in 24 days , 30 days and 40 days respectively . they began the work together but c left 4 days before the completion of the work . in how many days was the work completed ?	1physics
nicky and cristina are running a race . since cristina is faster than nicky , she gives him a 36 meter head start . if cristina runs at a pace of 4 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ?	1physics
what is the largest integral value of ' k ' for which the quadratic equation x 2 - 6 x + k = 0 will have two real and distinct roots ?	0general
a certain sum of money is divided among a , b and c such that a gets one - third of what b and c together get and b gets two - seventh of what a and c together get . if the amount received by a is $ 20 more than that received by b , find the total amount shared by a , b and c .	0general
if x , y , and z are positive integers and 3 x = 5 y = 8 z , then the least possible value of x + y + z is	0general
given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] – 4 = f ( 3 x – 6 )	0general
a can do a job in 8 days and b can do it in 20 days . a and b working together will finish twice the amount of work in - - - - - - - days ?	1physics
in an electric circuit , two resistors with resistances 8 ohms and 9 ohms are connected in parallel . in this case , if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of two resistors . what is r value ?	3geometry
the average of runs of a cricket player of 10 innings was 35 . how many runs must he make in his next innings so as to increase his average of runs by 4 ?	0general
the side of a square is increased by 10 % then how much % does its area increases ?	3geometry
on dividing 161 by a number , the quotient is 10 and the remainder is 1 . find the divisor .	0general
16 boys or 24 girls can construct the wall in 6 days . the number of days that 8 boys and 6 girls will take to construct ?	1physics
a square of side 8 cm has been made to a rectangle by combining it with a rectangle of dimensions of length 8 cm and breadth 4 cm . what is the perimeter of the newly formed rectangle ?	3geometry
the average of 11 numbers is 10.7 . if the average of first 6 is 10.5 and that of the last 6.00001 is 11.4 the sixth number is ?	0general
the denominator of a fraction is 8 greater than the numerator . if the numerator and the denominator are increased by 5 , the resulting fraction is equal to 6 â „ 7 . what is the value of the original fraction ?	0general
evaluate 50 ! / 47 !	5other
a 425 meter long train crosses a platform in 55 seconds while it crosses a signal pole in 40 seconds . what is the length of the platform ?	1physics
a train running at the speed of 60 km / hr crosses a pole in 8 seconds . find the length of the train .	1physics
annika hikes at a constant rate of 12 minutes per kilometer . she has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 40 minutes . if annika continues east , then turns around and retraces her path to reach the start of the trail in exactly 40 minutes , for how many kilometers total did she hike east ?	1physics
tom and jerry enter into a partnership by investing $ 700 and $ 300 respectively . at the end of one year , they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business . if tom received $ 800 more than jerry did , what was the profit made by their business in that year ?	0general
simplify : 0.72 * 0.43 + 0.12 * 0.34	0general
a jeep takes 8 hours to cover a distance of 280 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?	1physics
the simple interest on rs . 34 for 8 months at the rate of 6 paise per rupeeper month is	2gain
a swimmer can swim in still water at 4 km / h . if the speed of the water current is 2 km / h , how many hours will the swimmer take to swim against the current for 3 km ?	1physics
what sum of money put at c . i amounts in 2 years to rs . 8880 and in 3 years to rs . 9261 ?	0general
how many seconds will a 400 metre long train take to cross a man running with a speed of 6 km / hr in the direction of the moving train if the speed of the train is 30 km / hr ?	1physics
what is the maximum number of pieces of birthday cake of size 4 ” by 4 ” that can be cut from a cake 16 ” by 16 ” ?	1physics
a student needs 30 % of the marks on a test to pass the test . if the student gets 80 marks and fails the test by 10 marks , find the maximum marks set for the test .	2gain
a work crew of 6 men takes 9 days to complete one - half of a job . if 12 men are then added to the crew and the men continue to work at the same rate , how many days will it take the enlarged crew to do the rest of the job ?	1physics
in a class , 6 students can speak gujarati , 15 can speak hindi and 6 can speak marathi . if two students can speak two languages and one student can speak all the 3 languages , then how many students are there in the class	0general
jack and jill are marathon runners . jack can finish a marathon ( 41 km ) in 4.5 hours and jill can run a marathon in 4.1 hours . what is the ratio of their average running speed ? ( jack : jill )	1physics
if the selling price of 100 articles is equal to the cost price of 40 articles , then the loss or gain percent is :	2gain
a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 6 m , the volume of the box ( in m 3 ) is :	3geometry
in a certain animal population , for each of the first 3 months of life , the probability that an animal will die during that month is 1 / 10 . for a group of 700 newborn members of the population , approximately how many would be expected to survive the first 3 months of life ?	4probability
the ratio , by volume , of bleach to detergent to water in a certain solution is 2 : 40 : 100 . the solution will be altered so that the ratio of bleach ( b ) to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ?	5other
in x game of billiards , x can give y 20 points in 60 and he can give z 50 points in 60 . how many points can y give z in x game of 100 ?	0general
jack and jill work at a hospital with 5 other workers . for an internal review , 2 of the 7 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?	1physics
the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 10 cm each . the radius of the sphere is	3geometry
find a number such that it exceeds 18 by 3 times the number by which it is less than 86 ?	0general
of the 3600 employees of company x , 12 / 25 are clerical . if the clerical staff were to be reduced by 1 / 4 , what percent of the total number of the remaining employees would then be clerical ?	0general
for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 25 percent of the seeds in the first plot germinated and exactly 40 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ?	0general
an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 60 cm , find the sum of the perimeters of all the triangles .	3geometry
in an election , candidate douglas won 66 percent of the total vote in counties x and y . he won 74 percent of the vote in county x . if the ratio of people who voted in county x to county y is 2 : 1 , what percent of the vote did candidate douglas win in county y ?	0general
amithab ' s average expenditure for the january to june is rs . 4200 and he spends rs . 1200 in january and rs . 1500 in july . the average expenditure for the months of febraury to july is	0general
one week , a certain truck rental lot had a total of 20 trucks , all of which were on the lot monday morning . if 50 % of the trucks that were rented out during the week were returned to the lot on or before saturday morning of that week , and if there were at least 16 trucks on the lot that saturday morning , what is the greatest number of different trucks that could have been rented out during the week ?	0general
a person walks from one end to the other of a 80 - meter long moving walkway at a constant rate in 40 seconds , assisted by the walkway . when this person reaches the end , they reverse direction and continue walking with the same speed , but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway . if the walkway were to stop moving , how many seconds would it take this person to walk from one end of the walkway to the other ?	1physics
neha ' s mother was 4 times her age 12 years ago . she will be twice as old as neha 12 years from now . what is the present age of neha ' s mother ?	0general
what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 3 , 4 , and 5 ?	3geometry
what is the sum of the numbers between 1 and 5 , inclusive ?	0general
a mathematics teacher tabulated the marks secured by 35 students of 8 th class . the average of their marks was 72 . if the marks secured by reema was written as 46 instead of 96 then find the correct average marks up to two decimal places .	0general
if the sides of a triangle are 36 cm , 34 cm and 20 cm , what is its area ?	3geometry
a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route . they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up , but the time each route will take is the same . if they will go up the mountain at a rate of 3 miles per day and it will take them two days , how many miles long is the route down the mountain ?	1physics
how many ounces of a 60 % salt solution must be added to 70 ounces of a 20 percent salt solution so that the resulting mixture is 40 % salt ?	2gain
the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15 . if the sum of the first and the last number is 15 . what is the last numbers ?	0general
how many plants will be there in a circular bed whose outer edge measure 33 cms , allowing 4 cm 2 for each plant ?	1physics
rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 4 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ?	3geometry
pipe a fills a swimming pool in 4 hours . pipe b empties the pool in 6 hours . if pipe a was opened at 5 : 00 am and pipe b at 6 : 00 am , at what time will the pool be full ?	1physics
a student multiplied a number by 3 / 5 instead of 5 / 3 , what is the percentage error in the calculation ?	0general
a team of 6 entered for a shooting competition . the best marks man scored 85 points . if he had scored 92 points , the average scores for . the team would have been 84 . how many points altogether did the team score ?	0general
if 60 percent of 500 is 50 percent of x , then x = ?	0general
a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 220 kilometers ?	1physics
the sum of 3 numbers is 98 . if the ratio between first and second be 2 : 3 and that between second and third be 5 : 8 , then the second number is ?	5other
a courtyard is 25 meter long and 18 meter board is to be paved with bricks of dimensions 20 cm by 10 cm . the total number of bricks required is ?	1physics
the perimeter of one square is 24 m & that of another is 32 m . perimeter of a square whose area is equal to the sum of the areas of the 2 squares will be	3geometry
the speeds of three asteroids were compared . asteroids x - 13 and y - 14 were observed for identical durations , while asteroid z - 15 was observed for 2 seconds longer . during its period of observation , asteroid y - 14 traveled three times the distance x - 13 traveled , and therefore y - 14 was found to be faster than x - 13 by 2500 kilometers per second . asteroid z - 15 had an identical speed as that of x - 13 , but because z - 15 was observed for a longer period , it traveled five times the distance x - 13 traveled during x - 13 ' s inspection . asteroid x - 13 traveled how many kilometers during its observation ?	1physics
what is the value of 3 x ^ 2 − 2.4 x + 0.3 for x = 0.6 ?	0general
if x = 1 - 3 t and y = 2 t - 3 , then for what value of t does x = y ?	0general
find the simple interest on the rs . 2000 at 25 / 4 % per annum for the period from 4 th feb 2005 to 18 th april 2005	2gain
volume of a right circular cylinder is 6 o l . if radius of cylinder is doubled , then what will be the increase in volume ?	3geometry
you enter a weight loss challenge game and manage to lose 10 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?	2gain
a person was asked to state his age in years . his reply was , ` ` take my age 5 years hence , multiply it by 3 and subtract 3 times my age 5 years ago and you will know how old i am . ' ' what was the age of the person ?	0general
the radius of a semi circle is 6.3 cm then its perimeter is ?	1physics
a train is 300 meter long is running at a speed of 54 km / hour . in what time will it pass a tunnel of 1200 meter length ?	1physics
in a single throw of a die , what is probability of getting a number greater than 4 ?	4probability
a certain bag contains 60 balls — 22 white , 18 green , 8 yellow , 5 red , and 7 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?	5other
a 10 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?	3geometry
the mean of 50 observations was 40 . it was found later that an observation 45 was wrongly taken as 15 the corrected new mean is	0general
the current of a stream runs at the rate of 4 kmph . a boat goes 6 km and back to the starting point in 4 hours , then find the speed of the boat in still water ?	1physics
by selling 14 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ?	2gain
a money lender lent rs . 1000 at 3 % per year and rs . 1400 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years .	2gain
caleb spends $ 70.50 on 50 hamburgers for the marching band . if single burgers cost $ 1.00 each and double burgers cost $ 1.50 each , how many double burgers did he buy ?	0general
tom traveled the entire 100 miles trip . if he did the first 50 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 50 miles per hour , what is the his average speed , in miles per hour ?	1physics
when positive integer x is divided by 11 , the quotient is y and the remainder is 4 . when 2 x is divided by 6 , the quotient is 3 y and the remainder is 5 . what is the value of 7 y – x ?	0general
a total of 30 percent of the geese included in a certain migration study were male . if some of the geese migrated during the study and 30 percent of the migrating geese were male , what was the ratio of the migration rate for the male geese to the migration rate for the female geese ? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ]	0general
a clock hangs on the wall of a railway station , 71 ft 9 in long and 10 ft 4 in high . those are the dimension of the wall , not the clock ! while waiting for a train we noticed that the hands of the clock were pointing in opposite directions , and were parallel to one of the diagonals of the wall , what was the exact time ?	3geometry

what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 2 , 3 and 5 ?

3geometry

the price of 10 chairs is equal to that of 4 tables . the price of 15 chairs and 2 tables together is rs . 4000 . the total price of 12 chairs and 3 tables is

0general

if there is an equal probability of a child being born a boy or a girl , what is the probability that a couple who have 7 children have two children of the same sex and one of the opposite sex ?

0general

instead of multiplying a number by 2 , the number is divided by 10 . what is the percentage of error obtained ?

0general

for the past n days , the average ( arithmetic mean ) daily production at a company was 50 units . if today ' s production of 90 units raises the average to 54 units per day , what is the value of n ?

0general

the cash difference between the selling prices of an article at a profit of 2 % and 4 % is rs 3 . the ratio of two selling prices is

2gain

jose completes a piece of work in 10 days , raju completes the same work in 40 days . if both of them work together , then the number of days required to complete the work is

1physics

wilson can eat 25 marshmallows is 20 minutes . dylan can eat 25 in one hour . in how much time will the two eat 150 marshmallows ?

1physics

5 men and 12 boys finish a piece of work in 4 days , 7 men and 6 boys do it in 5 days . the ratio between the efficiencies of a man and boy is ?

1physics

the volume of the largest right circular cone that can be cut out of a cube of edge 7 cm is :

3geometry

two trains of length 100 meters and 200 meters are 140 meters apart . they are moving towards each other on parallel tracks , at speeds of 54 km / h and 72 km / h . after how many seconds will the trains meet ?

1physics

two trains start simultaneously from opposite ends of a 140 - km route and travel toward each other on parallel tracks . train x , traveling at a constant rate , completes the 140 - km trip in 4 hours . train y , travelling at a constant rate , completes the 140 - km trip in 3 hours . how many kilometers had train x traveled when it met train y ?

1physics

the year next to 1991 having the same calendar as that of 1990 is –

0general

find ( 7 x + 6 y ) / ( x - 2 y ) if x / 2 y = 3 / 2 ?

0general

a car was driving at 72 km / h for 20 minutes , and then at 81 km / h for another 40 minutes . what was its average speed ?

0general

a , b and c can do a piece of work in 24 days , 30 days and 40 days respectively . they began the work together but c left 4 days before the completion of the work . in how many days was the work completed ?

1physics

nicky and cristina are running a race . since cristina is faster than nicky , she gives him a 36 meter head start . if cristina runs at a pace of 4 meters per second and nicky runs at a pace of only 3 meters per second , how many seconds will nicky have run before cristina catches up to him ?

1physics

what is the largest integral value of ' k ' for which the quadratic equation x 2 - 6 x + k = 0 will have two real and distinct roots ?

0general

a certain sum of money is divided among a , b and c such that a gets one - third of what b and c together get and b gets two - seventh of what a and c together get . if the amount received by a is $ 20 more than that received by b , find the total amount shared by a , b and c .

0general

if x , y , and z are positive integers and 3 x = 5 y = 8 z , then the least possible value of x + y + z is

0general

given f ( x ) = 3 x – 5 , for what value of x does 2 * [ f ( x ) ] – 4 = f ( 3 x – 6 )

0general

a can do a job in 8 days and b can do it in 20 days . a and b working together will finish twice the amount of work in - - - - - - - days ?

1physics

in an electric circuit , two resistors with resistances 8 ohms and 9 ohms are connected in parallel . in this case , if r is the combined resistance of these two resistors , then the reciprocal of r is equal to the sum of the reciprocals of two resistors . what is r value ?

3geometry

the average of runs of a cricket player of 10 innings was 35 . how many runs must he make in his next innings so as to increase his average of runs by 4 ?

0general

the side of a square is increased by 10 % then how much % does its area increases ?

3geometry

on dividing 161 by a number , the quotient is 10 and the remainder is 1 . find the divisor .

0general

16 boys or 24 girls can construct the wall in 6 days . the number of days that 8 boys and 6 girls will take to construct ?

1physics

a square of side 8 cm has been made to a rectangle by combining it with a rectangle of dimensions of length 8 cm and breadth 4 cm . what is the perimeter of the newly formed rectangle ?

3geometry

the average of 11 numbers is 10.7 . if the average of first 6 is 10.5 and that of the last 6.00001 is 11.4 the sixth number is ?

0general

the denominator of a fraction is 8 greater than the numerator . if the numerator and the denominator are increased by 5 , the resulting fraction is equal to 6 â „ 7 . what is the value of the original fraction ?

0general

evaluate 50 ! / 47 !

5other

a 425 meter long train crosses a platform in 55 seconds while it crosses a signal pole in 40 seconds . what is the length of the platform ?

1physics

a train running at the speed of 60 km / hr crosses a pole in 8 seconds . find the length of the train .

1physics

annika hikes at a constant rate of 12 minutes per kilometer . she has hiked 2.75 kilometers east from the start of a hiking trail when she realizes that she has to be back at the start of the trail in 40 minutes . if annika continues east , then turns around and retraces her path to reach the start of the trail in exactly 40 minutes , for how many kilometers total did she hike east ?

1physics

tom and jerry enter into a partnership by investing $ 700 and $ 300 respectively . at the end of one year , they divided their profits such that a third of the profit is divided equally for the efforts they have put into the business and the remaining amount of profit is divided in the ratio of the investments they made in the business . if tom received $ 800 more than jerry did , what was the profit made by their business in that year ?

0general

simplify : 0.72 * 0.43 + 0.12 * 0.34

0general

a jeep takes 8 hours to cover a distance of 280 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?

1physics

the simple interest on rs . 34 for 8 months at the rate of 6 paise per rupeeper month is

2gain

a swimmer can swim in still water at 4 km / h . if the speed of the water current is 2 km / h , how many hours will the swimmer take to swim against the current for 3 km ?

1physics

what sum of money put at c . i amounts in 2 years to rs . 8880 and in 3 years to rs . 9261 ?

0general

how many seconds will a 400 metre long train take to cross a man running with a speed of 6 km / hr in the direction of the moving train if the speed of the train is 30 km / hr ?

1physics

what is the maximum number of pieces of birthday cake of size 4 ” by 4 ” that can be cut from a cake 16 ” by 16 ” ?

1physics

a student needs 30 % of the marks on a test to pass the test . if the student gets 80 marks and fails the test by 10 marks , find the maximum marks set for the test .

2gain

a work crew of 6 men takes 9 days to complete one - half of a job . if 12 men are then added to the crew and the men continue to work at the same rate , how many days will it take the enlarged crew to do the rest of the job ?

1physics

in a class , 6 students can speak gujarati , 15 can speak hindi and 6 can speak marathi . if two students can speak two languages and one student can speak all the 3 languages , then how many students are there in the class

0general

jack and jill are marathon runners . jack can finish a marathon ( 41 km ) in 4.5 hours and jill can run a marathon in 4.1 hours . what is the ratio of their average running speed ? ( jack : jill )

1physics

if the selling price of 100 articles is equal to the cost price of 40 articles , then the loss or gain percent is :

2gain

a metallic sheet is of rectangular shape with dimensions 48 m x 36 m . from each of its corners , a square is cut off so as to make an open box . if the length of the square is 6 m , the volume of the box ( in m 3 ) is :

3geometry

in a certain animal population , for each of the first 3 months of life , the probability that an animal will die during that month is 1 / 10 . for a group of 700 newborn members of the population , approximately how many would be expected to survive the first 3 months of life ?

4probability

the ratio , by volume , of bleach to detergent to water in a certain solution is 2 : 40 : 100 . the solution will be altered so that the ratio of bleach ( b ) to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ?

5other

in x game of billiards , x can give y 20 points in 60 and he can give z 50 points in 60 . how many points can y give z in x game of 100 ?

0general

jack and jill work at a hospital with 5 other workers . for an internal review , 2 of the 7 workers will be randomly chosen to be interviewed . what is the probability that jack and jill will both be chosen ?

1physics

the surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 10 cm each . the radius of the sphere is

3geometry

find a number such that it exceeds 18 by 3 times the number by which it is less than 86 ?

0general

of the 3600 employees of company x , 12 / 25 are clerical . if the clerical staff were to be reduced by 1 / 4 , what percent of the total number of the remaining employees would then be clerical ?

0general

for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 25 percent of the seeds in the first plot germinated and exactly 40 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ?

0general

an equilateral triangle t 2 is formed by joining the mid points of the sides of another equilateral triangle t 1 . a third equilateral triangle t 3 is formed by joining the mid - points of t 2 and this process is continued indefinitely . if each side of t 1 is 60 cm , find the sum of the perimeters of all the triangles .

3geometry

in an election , candidate douglas won 66 percent of the total vote in counties x and y . he won 74 percent of the vote in county x . if the ratio of people who voted in county x to county y is 2 : 1 , what percent of the vote did candidate douglas win in county y ?

0general

amithab ' s average expenditure for the january to june is rs . 4200 and he spends rs . 1200 in january and rs . 1500 in july . the average expenditure for the months of febraury to july is

0general

one week , a certain truck rental lot had a total of 20 trucks , all of which were on the lot monday morning . if 50 % of the trucks that were rented out during the week were returned to the lot on or before saturday morning of that week , and if there were at least 16 trucks on the lot that saturday morning , what is the greatest number of different trucks that could have been rented out during the week ?

0general

a person walks from one end to the other of a 80 - meter long moving walkway at a constant rate in 40 seconds , assisted by the walkway . when this person reaches the end , they reverse direction and continue walking with the same speed , but this time it takes 120 seconds because the person is traveling against the direction of the moving walkway . if the walkway were to stop moving , how many seconds would it take this person to walk from one end of the walkway to the other ?

1physics

neha ' s mother was 4 times her age 12 years ago . she will be twice as old as neha 12 years from now . what is the present age of neha ' s mother ?

0general

what is the measure of the radius of the circle that circumscribes a triangle whose sides measure 3 , 4 , and 5 ?

3geometry

what is the sum of the numbers between 1 and 5 , inclusive ?

0general

a mathematics teacher tabulated the marks secured by 35 students of 8 th class . the average of their marks was 72 . if the marks secured by reema was written as 46 instead of 96 then find the correct average marks up to two decimal places .

0general

if the sides of a triangle are 36 cm , 34 cm and 20 cm , what is its area ?

3geometry

a group of hikers is planning a trip that will take them up a mountain using one route and back down using another route . they plan to travel down the mountain at a rate of one and a half times the rate they will use on the way up , but the time each route will take is the same . if they will go up the mountain at a rate of 3 miles per day and it will take them two days , how many miles long is the route down the mountain ?

1physics

how many ounces of a 60 % salt solution must be added to 70 ounces of a 20 percent salt solution so that the resulting mixture is 40 % salt ?

2gain

the average of 1 st 3 of 4 numbers is 16 and of the last 3 are 15 . if the sum of the first and the last number is 15 . what is the last numbers ?

0general

how many plants will be there in a circular bed whose outer edge measure 33 cms , allowing 4 cm 2 for each plant ?

1physics

rectangle a has sides a and b , and rectangle b has sides c and d . if a / c = b / d = 4 / 5 , what is the ratio of rectangle a ’ s area to rectangle b ’ s area ?

3geometry

pipe a fills a swimming pool in 4 hours . pipe b empties the pool in 6 hours . if pipe a was opened at 5 : 00 am and pipe b at 6 : 00 am , at what time will the pool be full ?

1physics

a student multiplied a number by 3 / 5 instead of 5 / 3 , what is the percentage error in the calculation ?

0general

a team of 6 entered for a shooting competition . the best marks man scored 85 points . if he had scored 92 points , the average scores for . the team would have been 84 . how many points altogether did the team score ?

0general

if 60 percent of 500 is 50 percent of x , then x = ?

0general

a car gets 40 kilometers per gallon of gasoline . how many gallons of gasoline would the car need to travel 220 kilometers ?

1physics

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

5other

a courtyard is 25 meter long and 18 meter board is to be paved with bricks of dimensions 20 cm by 10 cm . the total number of bricks required is ?

1physics

the perimeter of one square is 24 m & that of another is 32 m . perimeter of a square whose area is equal to the sum of the areas of the 2 squares will be

3geometry

the speeds of three asteroids were compared . asteroids x - 13 and y - 14 were observed for identical durations , while asteroid z - 15 was observed for 2 seconds longer . during its period of observation , asteroid y - 14 traveled three times the distance x - 13 traveled , and therefore y - 14 was found to be faster than x - 13 by 2500 kilometers per second . asteroid z - 15 had an identical speed as that of x - 13 , but because z - 15 was observed for a longer period , it traveled five times the distance x - 13 traveled during x - 13 ' s inspection . asteroid x - 13 traveled how many kilometers during its observation ?

1physics

what is the value of 3 x ^ 2 − 2.4 x + 0.3 for x = 0.6 ?

0general

if x = 1 - 3 t and y = 2 t - 3 , then for what value of t does x = y ?

0general

find the simple interest on the rs . 2000 at 25 / 4 % per annum for the period from 4 th feb 2005 to 18 th april 2005

2gain

volume of a right circular cylinder is 6 o l . if radius of cylinder is doubled , then what will be the increase in volume ?

3geometry

you enter a weight loss challenge game and manage to lose 10 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?

2gain

a person was asked to state his age in years . his reply was , ` ` take my age 5 years hence , multiply it by 3 and subtract 3 times my age 5 years ago and you will know how old i am . ' ' what was the age of the person ?

0general

the radius of a semi circle is 6.3 cm then its perimeter is ?

1physics

a train is 300 meter long is running at a speed of 54 km / hour . in what time will it pass a tunnel of 1200 meter length ?

1physics

in a single throw of a die , what is probability of getting a number greater than 4 ?

4probability

a certain bag contains 60 balls — 22 white , 18 green , 8 yellow , 5 red , and 7 purple . if a ball is to be chosen at random , what is the probability that the ball will be neither red nor purple ?

5other

a 10 meter long wire is cut into two pieces . if the longer piece is then used to form a perimeter of a square , what is the probability that the area of the square will be more than 4 if the original wire was cut at an arbitrary point ?

3geometry

the mean of 50 observations was 40 . it was found later that an observation 45 was wrongly taken as 15 the corrected new mean is

0general

the current of a stream runs at the rate of 4 kmph . a boat goes 6 km and back to the starting point in 4 hours , then find the speed of the boat in still water ?

1physics

by selling 14 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ?

2gain

a money lender lent rs . 1000 at 3 % per year and rs . 1400 at 5 % per year . the amount should be returned to him when the total interest comes to rs . 350 . find the number of years .

2gain

caleb spends $ 70.50 on 50 hamburgers for the marching band . if single burgers cost $ 1.00 each and double burgers cost $ 1.50 each , how many double burgers did he buy ?

0general

tom traveled the entire 100 miles trip . if he did the first 50 miles of at a constant rate 20 miles per hour and the remaining trip of at a constant rate 50 miles per hour , what is the his average speed , in miles per hour ?

1physics

when positive integer x is divided by 11 , the quotient is y and the remainder is 4 . when 2 x is divided by 6 , the quotient is 3 y and the remainder is 5 . what is the value of 7 y – x ?

0general

a total of 30 percent of the geese included in a certain migration study were male . if some of the geese migrated during the study and 30 percent of the migrating geese were male , what was the ratio of the migration rate for the male geese to the migration rate for the female geese ? [ migration rate for geese of a certain sex = ( number of geese of that sex migrating ) / ( total number of geese of that sex ) ]

0general

a clock hangs on the wall of a railway station , 71 ft 9 in long and 10 ft 4 in high . those are the dimension of the wall , not the clock ! while waiting for a train we noticed that the hands of the clock were pointing in opposite directions , and were parallel to one of the diagonals of the wall , what was the exact time ?

3geometry