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

Problem stringlengths 5 967	category class label 6 classes
anil had to do a multiplication . instead of taking 35 as one of the multipliers , he took 53 . as a result , the product went up by 540 . what is the new product ?	0general
at what rate percent of simple interest will a sum of money double itself in 33 years ?	2gain
a 360 meter long train crosses a man standing on the platform in 6 sec . what is the speed of the train ?	1physics
a trader bought a car at 30 % discount on its original price . he sold it at a 40 % increase on the price he bought it . what percent of profit did he make on the original price ?	2gain
one - tenth of the students at a nursery school are 4 years old or older . if 20 students have not yet reached their third birthday , and a total of 25 students are not between 3 years old and 4 years old , how many children are in the nursery school ?	0general
a train is 310 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length ?	1physics
a 49 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?	1physics
there are 6 boxes numbered 1 , 2 , . . . 6 . each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered . the total number of ways in which this can be done is :	0general
the overall age of x and y is 18 year greater than the overall age of y and z . z is how many decades younger that x ?	0general
tom , working alone , can paint a room in 8 hours . peter and john , working independently , can paint the same room in 4 hours and 2 hours , respectively . tom starts painting the room and works on his own for two hour . he is then joined by peter and they work together for two hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ?	1physics
a boy rides his bicycle 10 km at an average sped of 12 km / hr and again travels 12 km at an average speed of 10 km / hr . his average speed for the entire trip is approximately .	0general
( a / 2 ) / ( b / c ) in the expression above , a , b , and c are different numbers and each is one of the numbers 1 , 2 , or 4 . what is the largest possible value of the expression ?	0general
in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 190 girls , the total number of students in the college is ?	5other
if the numerator of a fraction be increased by 15 % and its denominator be diminished by 8 % , the value of the fraction is 15 / 16 . find the original fraction ?	0general
simplify : 32 ÷ 8 × 24 + 16 =	0general
a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 5 gallons of water and 10 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ?	0general
the tax on a commodity is diminished by 32 % but its consumption is increased by 12 % . find the decrease percent in the revenue derived from it ?	0general
106 x 106 - 94 x 94 = ?	0general
of the 90 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ?	5other
how many cuboids of length 5 m , width 6 m and height 3 m can be farmed from a cuboid of 18 m length , 15 m width and 2 m height .	1physics
when x is multiplied by 3 , the result is 26 more than the result of subtracting x from 26 . what is the value of x ?	0general
the sum of digits of a two digit number is 11 , the difference between the digits is 5 . find the number	0general
if x , y , and z are positive integers and 3 x = 7 y = 5 z , then the least possible value of x + y + z is	0general
a sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 90 extra yellow balls and making ratio of white balls to yellow balls 8 / 13 . how many tennis balls did the retailer order originally .	0general
a combustion reaction forms carbon dioxide . a carbon dioxide molecule contains one carbon and two oxygen atoms . if , over a period of 10 minutes , a combustion reaction creates 10000 molecules of carbon dioxide then approximately how many more atoms of oxygen than carbon are created on average per minute ?	0general
if two girls starting from same point , walking in the opposite directions with 5 km / hr and 10 km / hr as average speeds respectively . then the distance between them after 5 hours is ?	1physics
in the junior basketball league there are 15 teams , 1 / 3 of them are bad and ½ are rich . what ca n ' t be the number of teams that are rich and bad ?	0general
the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 2028 sq m , then what is the breadth of the rectangular plot ?	3geometry
find the least number which when divided by 5 , 67 , and 8 leaves a remainder 3 , but when divided by 9 leaves no remainder	0general
xavier , yvonne , and zelda each try independently to solve a problem . if their individual probabilities for success are 1 / 6 , 1 / 2 and 5 / 8 , respectively , what is the probability that xavier and yvonne , but not zelda , will solve the problem ?	0general
for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.267 ] = 1 and [ 1.999 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ?	0general
in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 22 to the thrice of the remainder . the dividend is	0general
a sum fetched total simple interest of 4016.25 at the rate of 11 p . c . p . a . in 5 years . what is the sum ?	2gain
a train consists of 12 boggies , each boggy 15 metres long . the train crosses a telegraph post in 18 seconds . due to some problem , three boggies were detached . the train now crosses a telegraph post in	1physics
what is the cp of rs 100 stock at 8 discount , with 1 / 5 % brokerage ?	2gain
zinc and copper are melted together in the ratio 9 : 11 . what is the weight of melted mixture , if 27 kg of zinc has been consumed in it ?	0general
if x is an integer such that 3 < x < 10 , 5 < x < 18 , 9 > x > – 2 , 8 > x > 0 , and x + 1 < 9 , then x is	0general
if n is a positive integer greater than 1 , then p ( n ) represents the product of all the prime numbers less than or equal to n . the second smallest prime factor of p ( 12 ) + 11 is	0general
in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 60 questions and secures 140 marks , the no of questions he attempts correctly is :	1physics
the average ( arithmetic mean ) of 4 different integers is 70 . if the largest integer is 90 , what is the least possible value of the smallest integer ?	0general
double of quarter of 6 percent written as a decimal is :	2gain
p and q can complete a work in 20 days and 12 days respectively . p alone started the work and q joined him after 4 days till the completion of the work . how long did the work last ?	1physics
if in one hour , a canoe rows at 16 km / hr downstream and 9 km / hr upstream , calculate the speed of a boat in still water ( in km / hr ) .	1physics
a rectangular lawn 55 m by 35 m has two roads each 4 m wide running in the middle of it . one parallel to the length and the other parallel to breadth . the cost of graveling the roads at 75 paise per sq meter is ?	1physics
a salesman ` s commission is 5 % on all sales upto rs . 10000 and 4 % on all sales exceeding this . he remits rs . 31100 to his parent company after deducing his commission . find the total sales .	0general
approximately how many revolutions will be made by a car tire with a 15 - inch diameter if the car travels 1 ⁄ 2 mile ?	0general
the area of an isosceles trapezoid with sides of length 5 and bases of length 7 and 13 is ?	3geometry
16 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ?	0general
the grade point average of one third of the classroom is 30 ; the grade point average of the rest is 33 . what is the grade point average of the whole class ?	0general
in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 4,4 ) , ( 7,4 ) , ( 5,9 ) , ( 8,9 ) ?	3geometry
two friends decide to get together ; so they start riding bikes towards each other . they plan to meet halfway . each is riding at 6 mph . they live 36 miles apart . one of them has a pet carrier pigeon and it starts flying the instant the friends start traveling . the pigeon flies back and forth at 18 mph between the 2 friends until the friends meet . how many miles does the pigeon travel ?	1physics
average expenditure of a person for the first 3 days of a week is rs . 360 and for the next 4 days is rs . 420 . average expenditure of the man for the whole week is :	0general
what approximate value will come in place of the question mark ( ? ) in the below question ? ( 47 % of 1442 - 36 % of 1412 ) + 63 = ?	0general
the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 47 ) is :	0general
a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 400,000 ?	0general
multiplication of 2 numbers is 9375 and the quotient , when the larger one is divided by the smalleris 15 . find the sum of the numbers ?	0general
a person distributed 20 % of his income to his 3 children each . he deposited 30 % of his income to his wife ' s account . he donated 5 % of remaining amount to an orphan house . finally he has $ 40000 . find his total income ?	2gain
a box contains 20 electric bulbs , out of which 4 are defective . two bulbs are chosen at random from this box . the probability that at least one of these is defective is	4probability
after decreasing 24 % in the price of an article costs rs . 988 . find the actual cost of an article ?	2gain
a sum of money at simple interest amounts to rs . 825 in 3 years and to rs . 846 in 4 years . the sum is ?	2gain
of the votes cast on a certain proposal , 58 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . )	2gain
the s . i . on a certain sum of money for 3 years at 10 % per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ?	2gain
for any number z , z * is defined as the greatest positive even integer less than or equal to y . what is the value of 6.45 – 6.45 * ?	0general
maxwell leaves his home and walks toward brad ' s house . one hour later , brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 54 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the distance traveled by maxwell ?	1physics
find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 7 x ( 11 ) ^ 2	0general
at a certain fruit stand , the price of each apple is 40 cents and the price of each orange is 60 cents . mary selects a total of 10 apples and oranges from the fruit stand , and the average ( arithmetic mean ) price of the 10 pieces of fruit is 48 cents . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 45 cents ?	0general
a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area q covered by the two roads ?	3geometry
by approximately what percent is x greater than 4 / 5 if ( 4 / 5 ) ( x ) = 1 ?	0general
a train 120 m long passes a man , running at 5 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is :	1physics
find the surface area of a 8 cm x 6 cm x 2 cm brick .	3geometry
a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 15 % while buying and by 20 % while selling . what is his percentage profit ?	2gain
a field is 90 metre long and 50 metre broad . a 25 metre long , 20 metre broad and 4 metre deep tank dug in the field and the earth taken out is spread evenly over the remaining field . how much the level of field will rise ?	1physics
how many odd numbers between 10 and 800 are the squares of integers ?	3geometry
a pharmaceutical company received $ 3 million in royalties on the first $ 20 million in sales of and then $ 9 million in royalties on the next $ 106 million in sales . by approximately what percentage did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ?	0general
the price of lunch for 15 people was $ 207 including a 15 % gratuity for service . what was the average price per person , excluding the gratuity ?	0general
a soft drink company had 6000 small and 15000 big bottles in storage . if 11 % of small 12 % of big bottles have been sold , then the total bottles remaining in storage is	0general
solve the equation for x : 6 x - 27 + 3 x = 4 + 9 - x ?	0general
a sum of money at simple interest amounts to rs . 840 in 3 years and to rs . 854 in 4 years . the sum is :	2gain
the dimensions of a rectangular solid are 4 inches , 6 inches , and 8 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ?	3geometry
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 51 minutes . if annika continues east , then turns around and retraces her path to reach the start of the trail in exactly 51 minutes , for how many kilometers total did she hike east ?	1physics
if y is the smallest positive integer such that 1,260 multiplied by y is the square of an integer , then y must be	3geometry
if sharon ' s weekly salary increased by 16 percent , she would earn $ 348 per week . if instead , her weekly salary were to increase by 25 percent , how much would she earn per week ?	0general
how many books each of volume 250 meter cube can be packed into a crate of volume 4500 meter cube	3geometry
how long does a train 90 m long traveling at 60 kmph takes to cross a bridge of 170 m in length ?	1physics
a certain hospital has a policy that for every 50 patients there should be 2 doctors . if the number of patients visiting the hospital every day is 400 , how many doctors are there in the hospital ?	1physics
what will be the compound interest on rs . 30000 after 3 years at the rate of 12 % per annum	2gain
5 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 2553 , how much was it in the beginning ?	0general
a rectangular block 6 cm by 12 cm by 15 cm is cut into an exact number of equal cubes . find the least possible number of cubes ?	3geometry
a cistern 4 m long and 8 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :	1physics
in measuring the sides of a rectangle , one side is taken 12 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements .	3geometry
in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 7720 votes were polled , then how many valid votes did b get ?	0general
a 180 meter long train crosses a man standing on the platform in 9 sec . what is the speed of the train ?	1physics
3 candidates in an election and received 3000 , 5000 and 15000 votes respectively . what % of the total votes did the winningcandidate got in that election ?	2gain
lisa and robert have taken the same number of photos on their school trip . lisa has taken 3 times as many photos as claire and robert has taken 16 more photos than claire . how many photos has claire taken ?	0general
in the fifth grade at parkway elementary school there are 420 students . 296 students are boys and 250 students are playing soccer . 86 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?	2gain
the percentage increase in the area of a rectangle , if each of its sides is increased by 20 %	3geometry
a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 69 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480	2gain
if 5 x = 6 y = z , what is x + y , in terms of z ?	0general
if the mean of numbers 38 , x , 70 , 88 and 110 is 69 , what is the mean of 50 , 72 , 97 , 125,147 and x ?	0general
a train 200 m long running at 54 kmph crosses a platform in 25 sec . what is the length of the platform ?	1physics

anil had to do a multiplication . instead of taking 35 as one of the multipliers , he took 53 . as a result , the product went up by 540 . what is the new product ?

0general

at what rate percent of simple interest will a sum of money double itself in 33 years ?

2gain

a 360 meter long train crosses a man standing on the platform in 6 sec . what is the speed of the train ?

1physics

a trader bought a car at 30 % discount on its original price . he sold it at a 40 % increase on the price he bought it . what percent of profit did he make on the original price ?

2gain

one - tenth of the students at a nursery school are 4 years old or older . if 20 students have not yet reached their third birthday , and a total of 25 students are not between 3 years old and 4 years old , how many children are in the nursery school ?

0general

a train is 310 meter long is running at a speed of 45 km / hour . in what time will it pass a bridge of 140 meter length ?

1physics

a 49 cm long wire is to be cut into two pieces so that one piece will be 2 / 5 th of the other , how many centimeters will the shorter piece be ?

1physics

there are 6 boxes numbered 1 , 2 , . . . 6 . each box is to be filled up either with a red or a green ball in such a way that at least 1 box contains a green ball and the boxes containing green balls are consecutively numbered . the total number of ways in which this can be done is :

0general

the overall age of x and y is 18 year greater than the overall age of y and z . z is how many decades younger that x ?

0general

tom , working alone , can paint a room in 8 hours . peter and john , working independently , can paint the same room in 4 hours and 2 hours , respectively . tom starts painting the room and works on his own for two hour . he is then joined by peter and they work together for two hour . finally , john joins them and the three of them work together to finish the room , each one working at his respective rate . what fraction of the whole job was done by peter ?

1physics

a boy rides his bicycle 10 km at an average sped of 12 km / hr and again travels 12 km at an average speed of 10 km / hr . his average speed for the entire trip is approximately .

0general

( a / 2 ) / ( b / c ) in the expression above , a , b , and c are different numbers and each is one of the numbers 1 , 2 , or 4 . what is the largest possible value of the expression ?

0general

in a college the ratio of the numbers of boys to the girls is 8 : 5 . if there are 190 girls , the total number of students in the college is ?

5other

if the numerator of a fraction be increased by 15 % and its denominator be diminished by 8 % , the value of the fraction is 15 / 16 . find the original fraction ?

0general

simplify : 32 ÷ 8 × 24 + 16 =

0general

a tank holds x gallons of a saltwater solution that is 20 % salt by volume . one fourth of the water is evaporated , leaving all of the salt . when 5 gallons of water and 10 gallons of salt are added , the resulting mixture is 33 1 / 3 % salt by volume . what is the value of x ?

0general

the tax on a commodity is diminished by 32 % but its consumption is increased by 12 % . find the decrease percent in the revenue derived from it ?

0general

106 x 106 - 94 x 94 = ?

0general

of the 90 house in a development , 50 have a two - car garage , 40 have an in - the - ground swimming pool , and 35 have both a two - car garage and an in - the - ground swimming pool . how many houses in the development have neither a two - car garage nor an in - the - ground swimming pool ?

5other

how many cuboids of length 5 m , width 6 m and height 3 m can be farmed from a cuboid of 18 m length , 15 m width and 2 m height .

1physics

when x is multiplied by 3 , the result is 26 more than the result of subtracting x from 26 . what is the value of x ?

0general

the sum of digits of a two digit number is 11 , the difference between the digits is 5 . find the number

0general

if x , y , and z are positive integers and 3 x = 7 y = 5 z , then the least possible value of x + y + z is

0general

a sports retailer ordered white and yellow tennis balls in equal number but the dispatch clerk of the tennis ball company erred and dispatched 90 extra yellow balls and making ratio of white balls to yellow balls 8 / 13 . how many tennis balls did the retailer order originally .

0general

a combustion reaction forms carbon dioxide . a carbon dioxide molecule contains one carbon and two oxygen atoms . if , over a period of 10 minutes , a combustion reaction creates 10000 molecules of carbon dioxide then approximately how many more atoms of oxygen than carbon are created on average per minute ?

0general

if two girls starting from same point , walking in the opposite directions with 5 km / hr and 10 km / hr as average speeds respectively . then the distance between them after 5 hours is ?

1physics

in the junior basketball league there are 15 teams , 1 / 3 of them are bad and ½ are rich . what ca n ' t be the number of teams that are rich and bad ?

0general

the length of a rectangular plot is thrice its breadth . if the area of the rectangular plot is 2028 sq m , then what is the breadth of the rectangular plot ?

3geometry

find the least number which when divided by 5 , 67 , and 8 leaves a remainder 3 , but when divided by 9 leaves no remainder

0general

xavier , yvonne , and zelda each try independently to solve a problem . if their individual probabilities for success are 1 / 6 , 1 / 2 and 5 / 8 , respectively , what is the probability that xavier and yvonne , but not zelda , will solve the problem ?

0general

for any positive number x , the function [ x ] denotes the greatest integer less than or equal to x . for example , [ 1 ] = 1 , [ 1.267 ] = 1 and [ 1.999 ] = 1 . if k is a positive integer such that k ^ 2 is divisible by 45 and 80 , what is the units digit of k ^ 3 / 4000 ?

0general

in a division sum , the remainder is 6 and the divisor is 5 times the quotient and is obtained by adding 22 to the thrice of the remainder . the dividend is

0general

a sum fetched total simple interest of 4016.25 at the rate of 11 p . c . p . a . in 5 years . what is the sum ?

2gain

a train consists of 12 boggies , each boggy 15 metres long . the train crosses a telegraph post in 18 seconds . due to some problem , three boggies were detached . the train now crosses a telegraph post in

1physics

what is the cp of rs 100 stock at 8 discount , with 1 / 5 % brokerage ?

2gain

zinc and copper are melted together in the ratio 9 : 11 . what is the weight of melted mixture , if 27 kg of zinc has been consumed in it ?

0general

if x is an integer such that 3 < x < 10 , 5 < x < 18 , 9 > x > – 2 , 8 > x > 0 , and x + 1 < 9 , then x is

0general

if n is a positive integer greater than 1 , then p ( n ) represents the product of all the prime numbers less than or equal to n . the second smallest prime factor of p ( 12 ) + 11 is

0general

in an examination , a student scores 4 marks for every correct answer and loses 1 mark for every wrong answer . if he attempts all 60 questions and secures 140 marks , the no of questions he attempts correctly is :

1physics

the average ( arithmetic mean ) of 4 different integers is 70 . if the largest integer is 90 , what is the least possible value of the smallest integer ?

0general

double of quarter of 6 percent written as a decimal is :

2gain

p and q can complete a work in 20 days and 12 days respectively . p alone started the work and q joined him after 4 days till the completion of the work . how long did the work last ?

1physics

if in one hour , a canoe rows at 16 km / hr downstream and 9 km / hr upstream , calculate the speed of a boat in still water ( in km / hr ) .

1physics

a rectangular lawn 55 m by 35 m has two roads each 4 m wide running in the middle of it . one parallel to the length and the other parallel to breadth . the cost of graveling the roads at 75 paise per sq meter is ?

1physics

a salesman ` s commission is 5 % on all sales upto rs . 10000 and 4 % on all sales exceeding this . he remits rs . 31100 to his parent company after deducing his commission . find the total sales .

0general

approximately how many revolutions will be made by a car tire with a 15 - inch diameter if the car travels 1 ⁄ 2 mile ?

0general

the area of an isosceles trapezoid with sides of length 5 and bases of length 7 and 13 is ?

3geometry

16 chess players take part in a tournament . every player plays twice with each of his opponents . how many games are to be played ?

0general

the grade point average of one third of the classroom is 30 ; the grade point average of the rest is 33 . what is the grade point average of the whole class ?

0general

in a rectangular axis system , what is the area of a parallelogram with the coordinates : ( 4,4 ) , ( 7,4 ) , ( 5,9 ) , ( 8,9 ) ?

3geometry

two friends decide to get together ; so they start riding bikes towards each other . they plan to meet halfway . each is riding at 6 mph . they live 36 miles apart . one of them has a pet carrier pigeon and it starts flying the instant the friends start traveling . the pigeon flies back and forth at 18 mph between the 2 friends until the friends meet . how many miles does the pigeon travel ?

1physics

average expenditure of a person for the first 3 days of a week is rs . 360 and for the next 4 days is rs . 420 . average expenditure of the man for the whole week is :

0general

what approximate value will come in place of the question mark ( ? ) in the below question ? ( 47 % of 1442 - 36 % of 1412 ) + 63 = ?

0general

the units digit of ( 35 ) ^ ( 87 ) + ( 93 ) ^ ( 47 ) is :

0general

a “ palindromic integer ” is an integer that remains the same when its digits are reversed . so , for example , 43334 and 516615 are both examples of palindromic integers . how many 6 - digit palindromic integers are both even and greater than 400,000 ?

0general

multiplication of 2 numbers is 9375 and the quotient , when the larger one is divided by the smalleris 15 . find the sum of the numbers ?

0general

a person distributed 20 % of his income to his 3 children each . he deposited 30 % of his income to his wife ' s account . he donated 5 % of remaining amount to an orphan house . finally he has $ 40000 . find his total income ?

2gain

a box contains 20 electric bulbs , out of which 4 are defective . two bulbs are chosen at random from this box . the probability that at least one of these is defective is

4probability

after decreasing 24 % in the price of an article costs rs . 988 . find the actual cost of an article ?

2gain

a sum of money at simple interest amounts to rs . 825 in 3 years and to rs . 846 in 4 years . the sum is ?

2gain

of the votes cast on a certain proposal , 58 more were in favor of the proposal than were against it . if the number of votes against the proposal was 40 percent of the total vote , what was the total number of votes cast ? ( each vote cast was either in favor of the proposal or against it . )

2gain

the s . i . on a certain sum of money for 3 years at 10 % per annum is half the c . i . on rs . 4000 for 2 years at 10 % per annum . the sum placed on s . i . is ?

2gain

for any number z , z * is defined as the greatest positive even integer less than or equal to y . what is the value of 6.45 – 6.45 * ?

0general

maxwell leaves his home and walks toward brad ' s house . one hour later , brad leaves his home and runs toward maxwell ' s house . if the distance between their homes is 54 kilometers , maxwell ' s walking speed is 4 km / h , and brad ' s running speed is 6 km / h . what is the distance traveled by maxwell ?

1physics

find the total number of prime factors in the expression ( 4 ) ^ 11 x ( 7 ) ^ 7 x ( 11 ) ^ 2

0general

at a certain fruit stand , the price of each apple is 40 cents and the price of each orange is 60 cents . mary selects a total of 10 apples and oranges from the fruit stand , and the average ( arithmetic mean ) price of the 10 pieces of fruit is 48 cents . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 45 cents ?

0general

a rectangular lawn of length 200 m by 120 m has two roads running along its center , one along the length and the other along the width . if the width of the roads is 5 m what is the area q covered by the two roads ?

3geometry

by approximately what percent is x greater than 4 / 5 if ( 4 / 5 ) ( x ) = 1 ?

0general

a train 120 m long passes a man , running at 5 km / hr in the same direction in which the train is going , in 10 seconds . the speed of the train is :

1physics

find the surface area of a 8 cm x 6 cm x 2 cm brick .

3geometry

a shop owner professes to sell his articles at certain cost price but he uses false weights with which he cheats by 15 % while buying and by 20 % while selling . what is his percentage profit ?

2gain

a field is 90 metre long and 50 metre broad . a 25 metre long , 20 metre broad and 4 metre deep tank dug in the field and the earth taken out is spread evenly over the remaining field . how much the level of field will rise ?

1physics

how many odd numbers between 10 and 800 are the squares of integers ?

3geometry

a pharmaceutical company received $ 3 million in royalties on the first $ 20 million in sales of and then $ 9 million in royalties on the next $ 106 million in sales . by approximately what percentage did the ratio of royalties to sales decrease from the first $ 20 million in sales to the next $ 108 million in sales ?

0general

the price of lunch for 15 people was $ 207 including a 15 % gratuity for service . what was the average price per person , excluding the gratuity ?

0general

a soft drink company had 6000 small and 15000 big bottles in storage . if 11 % of small 12 % of big bottles have been sold , then the total bottles remaining in storage is

0general

solve the equation for x : 6 x - 27 + 3 x = 4 + 9 - x ?

0general

a sum of money at simple interest amounts to rs . 840 in 3 years and to rs . 854 in 4 years . the sum is :

2gain

the dimensions of a rectangular solid are 4 inches , 6 inches , and 8 inches . if a cube , a side of which is equal to one of the dimensions of the rectangular solid , is placed entirely within thespherejust large enough to hold the cube , what the ratio of the volume of the cube to the volume within thespherethat is not occupied by the cube ?

3geometry

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 51 minutes . if annika continues east , then turns around and retraces her path to reach the start of the trail in exactly 51 minutes , for how many kilometers total did she hike east ?

1physics

if y is the smallest positive integer such that 1,260 multiplied by y is the square of an integer , then y must be

3geometry

if sharon ' s weekly salary increased by 16 percent , she would earn $ 348 per week . if instead , her weekly salary were to increase by 25 percent , how much would she earn per week ?

0general

how many books each of volume 250 meter cube can be packed into a crate of volume 4500 meter cube

3geometry

how long does a train 90 m long traveling at 60 kmph takes to cross a bridge of 170 m in length ?

1physics

a certain hospital has a policy that for every 50 patients there should be 2 doctors . if the number of patients visiting the hospital every day is 400 , how many doctors are there in the hospital ?

1physics

what will be the compound interest on rs . 30000 after 3 years at the rate of 12 % per annum

2gain

5 % people of a village in sri lanka died by bombardment , 15 % of the remainder left the village on account of fear . if now the population is reduced to 2553 , how much was it in the beginning ?

0general

a rectangular block 6 cm by 12 cm by 15 cm is cut into an exact number of equal cubes . find the least possible number of cubes ?

3geometry

a cistern 4 m long and 8 m wide contains water up to a depth of 1 m 25 cm . the total area of the wet surface is :

1physics

in measuring the sides of a rectangle , one side is taken 12 % in excess and other 5 % in deficit . find the error percentage in the area calculated from these measurements .

3geometry

in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 7720 votes were polled , then how many valid votes did b get ?

0general

a 180 meter long train crosses a man standing on the platform in 9 sec . what is the speed of the train ?

1physics

3 candidates in an election and received 3000 , 5000 and 15000 votes respectively . what % of the total votes did the winningcandidate got in that election ?

2gain

lisa and robert have taken the same number of photos on their school trip . lisa has taken 3 times as many photos as claire and robert has taken 16 more photos than claire . how many photos has claire taken ?

0general

in the fifth grade at parkway elementary school there are 420 students . 296 students are boys and 250 students are playing soccer . 86 % of the students that play soccer are boys . how many girl student are in parkway that is not playing soccer ?

2gain

the percentage increase in the area of a rectangle , if each of its sides is increased by 20 %

3geometry

a sum was put at simple interest at certain rate for 3 years . had it been put at 1 % higher rate it would have fetched rs . 69 more . the sum is : a . rs . 2,400 b . rs . 2,100 c . rs . 2,200 d . rs . 2,480

2gain

if 5 x = 6 y = z , what is x + y , in terms of z ?

0general

if the mean of numbers 38 , x , 70 , 88 and 110 is 69 , what is the mean of 50 , 72 , 97 , 125,147 and x ?

0general

a train 200 m long running at 54 kmph crosses a platform in 25 sec . what is the length of the platform ?

1physics