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

Problem stringlengths 5 967	category class label 6 classes
a large field of 700 hectares is divided into two parts . the difference of the areas of the two parts is one – fifth of the average o fthe two areas . what is the area of the smaller part in hectares ?	0general
what is the least number of square tiles required to pave the floor of a room 13 m 44 cm long and 4 m 44 cm broad ?	1physics
micheal and adam can do together a piece of work in 20 days . after they have worked together for 16 days micheal stops and adam completes the remaining work in 10 days . in how many days micheal complete the work separately .	1physics
a palindrome is a number that reads the same forward and backward , such as 171 . how many even , 6 - digit numbers are palindromes ?	0general
of the 200 stamps in a collection , 90 are foreign and 50 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ?	5other
after doing 3 / 5 of the biology homework on monday night , sanjay did 1 / 3 of the remaining homework on tuesday night . what fraction of the original homework would sanjay have to do on wednesday night to complete the biology assignment ?	1physics
difference of two numbers is 1860 . if 7.5 % of the number is 12.5 % of the other number , find the number ?	2gain
a box contains 9 slips that are each labeled with one number : 1 , 2 , 3 , 5 , 8 , 13 , 21 , and 55 . two of the slips are drawn at random from the box without replacement . what is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box ?	0general
a shopkeeper sold an article offering a discount of 4 % and earned a profit of 26 % . what would have been the percentage of profit earned if no discount was offered ?	2gain
find the area of trapezium whose parallel sides are 24 cm and 14 cm long , and the distance between them is 18 cm ?	1physics
the reciprocal of the hcf and lcm of two are 1 / 17 and 1 / 312 . if one of the number is 24 then other no . is	1physics
a man bought 10 crates of mangoes for $ 160 total . if he lost 2 of the crates , at what price would he have to sell each of the remaining crates in order to earn a total profit of 25 percent of the total cost ?	2gain
the speed at which a man can row a boat in still water is 6.5 kmph . if he rows downstream , where the speed of current is 2.5 kmph , what time will he take to cover 90 metres ?	1physics
if x = 1 + √ 2 , then what is the value of x 4 - 4 x 3 + 4 x 2 + 4 ?	0general
a cube of side 1.5 meter length is cut into small cubes of side 10 cm each . how many such small cubes can be obtained ?	1physics
if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 70 , what is the value of c − a ?	0general
the angle between the minute hand and the hour hand of a clock when the time is 8 : 30	1physics
a large tank can filled by a and b in 30 minutes and 45 minutes respectively . how many minutes will it take to fill the tanker from empty state if b is used for half the time and a and b fill it together for the other half ?	1physics
the average of 1 st 3 of 4 numbers is 6 and of the last 3 are 5 . if the sum of the first and the last number is 13 . what is the last numbers ?	0general
if the wheel is 14 cm then the number of revolutions to cover a distance of 4136 cm is ?	1physics
the parameter of a square is equal to the perimeter of a rectangle of length 36 cm and breadth 20 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ?	3geometry
on selling 15 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is :	2gain
two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 3 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ?	5other
x and y are positive integers . when x is divided by 6 , the remainder is 3 , and when x is divided by 16 , the remainder is 5 . when y is divided by 9 , the remainder is 5 , and when y is divided by 7 , the remainder is 4 . what is the least possible value of x / y ?	0general
in what time will a train 600 meters long cross an electric pole , if its speed is 144 km / hr	1physics
a certain class of students is being divided into teams . the class can either be divided into 10 teams with an equal number of players on each team or 24 teams with an equal number of players on each team . what is the lowest possible number of students in the class ?	0general
a man took a loan from a bank at the rate of 12 % p . a . simple interest . after 3 years he had to pay rs . 5400 interest only for the period . the principal amount borrowed by him was :	2gain
the ratio of the present age of sandy to that of molly is 7 : 2 . twelve years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ?	5other
the sides of a triangle are in the ratio 3 : 5 : 7 . if the pereimeter is 60 cms , the longest side is	1physics
how many positive integers between 5 and 5000 ( both are inclusive ) are there such that they are multiples of 5 ?	5other
the sale price sarees listed for rs . 528 after successive discount is 20 % and 10 % is ?	2gain
a train covers a distance of 9 km in 6 min . if it takes 5 sec to pass a telegraph post , then the length of the train is ?	1physics
the ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8 . if there are 52 black cars in the lot , how many red cars are there in the lot ?	5other
in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 3 : 5 : 9 . if the shop carries 204 dogs and bunnies total in stock , how many dogs are there ?	5other
a shop produces sarongs . the daily average production is given by 5 n + 20 , where n is the number of workers aside from the owner . in the first k days , 500 units are produced , and then 5 workers are added to the team . after another k days , the cumulative total is 900 . how many workers were part of the latter production run ?	0general
there are 5 guys who have equal number of bullets . all of them shoot 4 bullets . the remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division . what was the original number of bullets each one had ?	0general
the cost price of an article is 55 % of the marked price . calculate the gain percent after allowing a discount of 15 % .	2gain
a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 4 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ?	3geometry
peter and tom shared the driving on a certain trip . if peter and tom both drove for the same amount of time , but peter only drove 2 / 5 of the total distance , what was the ratio of tom ' s average speed to peter ' s average speed ?	0general
a grocery shop has a sale of rs . 6735 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ?	0general
a person can swim in still water at 4 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 12 km ?	1physics
1 / 4 of all the juniors and 2 / 3 of all the seniors are going on a trip . if there are 2 / 3 as many juniors as seniors , what fraction of the students are not going on the trip ?	0general
sonika deposited rs . 4500 which amounted to rs . 8400 after 2 years at simple interest . had the interest been 4 % more . she would get how much ?	2gain
a grocer has a sale of rs . 4000 , rs . 6524 , rs . 5689 , rs . 7230 and rs . 6000 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 7000 ?	0general
in one hour , a boat goes 14 km / hr along the stream and 8 km / hr against the stream . the speed of the boat in still water ( in km / hr ) is :	1physics
at a contest with 2000 participants , 1 / 2 of the people are aged 16 to 18 . next year , the number of people aged 16 to 18 will increase by 1 / 4 . after this change , what percentage of the total 2000 people will the 16 - to 18 - year - olds represent ?	0general
two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively . in what time will they cross each other completely ?	1physics
the closest approximation of f ( 69.28 × 0.004 ) / 0.03 is	0general
there are 9 executives , including the ceo and cfo , that are asked to form a small team of 4 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ?	5other
the average of first 11 prime numbers is ?	0general
if 12 men or 20 women can do a piece of work in 108 days , then in how many days can 9 men and 12 women together do the work ?	1physics
the market value of a 10.5 % stock , in which an income of rs . 756 is derived by investing rs . 7500 , brokerage being 1 / 4 % , is :	2gain
a bag contains 6 black and 5 white balls . one ball is drawn at random . what is the probability that the ball drawn is white ?	4probability
in what ratio water be mixed with milk costing rs . 12 per liter to obtain a mixture worth of rs . 8 per litre ?	5other
find the largest number of 4 digits which is exactly divisible by 2718 , 1615	0general
a reindeer chased by a cheetah passed a certain tree at a constant speed of 50 miles per hour while being chased by a cheetah . then , 2 minutes later , the cheetah passed the same tree at a constant speed of 60 miles per hour . if both animals maintained their speeds , how long after the cheetah passed the tree did the cheetah catch up with the reindeer ?	1physics
if the numbers 1 to 100 are written on 100 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ?	5other
a fort had provision of food for 150 men for 45 days . after 10 days , 25 men left the fort . find out the number of days for which the remaining food will last	1physics
a can do a work in 6 days , b can do a work in 8 days and c can do it in 12 days . b left work after 2 days . for how many number of days should a and c should work together to complete the remaining work ?	1physics
jack , jill , and sandy each have one try to make a basket from half court . if their individual probabilities of making the basket are 1 / 6 , 1 / 7 , and 1 / 8 respectively , what is the probability that jack and sandy will make a basket but jill will miss ?	0general
a mixture contains milk and water in the ratio 7 : 3 . on adding 20 liters of water , the ratio of milk to water becomes 7 : 5 . total quantity of milk & water before adding water to it ?	0general
the average age of a class of 20 students is 14 years . the average increased by 2 when the teacher ' s age also included . what is the age of the teacher ?	0general
a basketball team composed of 12 players scored 100 points in a particular contest . if none of the individual players scored fewer than 7 points , what is the greatest number of points w that an individual player might have scored ?	0general
the average length of 6 strings is 80 cm . if the average length of one third of the strings is 70 cm , what is the average of the other strings ?	0general
a can do a piece of work in 24 days and b can do it in 15 days and c can do it 20 days . they started the work together and a leaves after 2 days and b leaves after 4 days from the beginning . how long will work lost ?	1physics
a palindrome is a number that reads the same forward and backward , such as 242 . how many even 9 - digit numbers are palindromes ?	0general
a cube is divided into 64 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that , the cube is painted with green on one set of opposite faces , red on another set of opposite faces , and blue on the third set of opposite faces . how many cubelets are painted with exactly one colour ?	3geometry
what is the probability of getting a sum of 12 when rolling 3 dice simultaneously ?	4probability
at an upscale fast - food restaurant , shin can buy 3 burgers , 7 shakes , and one cola for $ 110 . at the same place it would cost $ 164.50 for 4 burgers , 10 shakes , and one cola . how much would it cost for a meal of one burger , one shake , and one cola ?	0general
find the cost of fencing around a circular field of diameter 30 m at the rate of rs . 2 a meter ?	1physics
what is the ratio whose term differ by 40 and the measure of which is 2 / 7 ?	5other
in how many ways 4 boys and 2 girls can be seated in a row so that they are alternate .	4probability
find the ones digit of 73 ^ 352	0general
the difference between the compound interest and simple interest on a certain sum of money at 5 % per annum for 2 years is 45 . then the original sum is ?	2gain
the least number , which when divided by 12 , 15 , 20 and 54 leaves in each case a remainder of 13 is :	0general
sally has a gold credit card with a certain spending limit , and a platinum card with twice the spending limit of the gold card . currently , she has a balance on her gold card that is 1 / 3 of the spending limit on that card , and she has a balance on her platinum card that is 1 / 4 of the spending limit on that card . if sally transfers the entire balance on her gold card to her platinum card , what portion of her limit on the platinum card will remain unspent ?	0general
at the end of the day , february 14 th , a florist had 120 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 30 of which were white and 5 of which were pink . the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed . if none of the long - stemmed roses were white , what percentage of the long - stemmed roses were red ?	0general
a car is running at a speed of 108 kmph . what distance will it cover in 15 sec ?	1physics
two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 60 kmph respectively . in what time will they cross each other completely ?	1physics
at a certain food stand , the price of each apple is 40 ¢ and the price of each orange is 60 ¢ . mary selects a total of 10 apples and oranges from the food stand , and the average ( arithmetic mean ) price of the 10 pieces of fruit is 52 ¢ . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 44 ¢ ?	0general
there were 35 students in a hostel . due to the admission of 7 new students the expenses of the mess were increased by rs . 42 per day while the average expenditure per head diminished by re 1 . what was the original expenditure of the mess ?	0general
excluding stoppages , the speed of a bus is 54 km / hr and including stoppages , it is 45 km / hr . for how many minutes does the bus stop per hour ?	1physics
a man two flats for $ 675958 each . on one he gains 15 % while on the other he loses 15 % . how much does he gain or lose in the whole transaction ?	2gain
the product of three consecutive numbers is 990 . then the sum of the smallest two numbers is ?	0general
61 + 5 * 12 / ( 180 / 3 ) = ?	0general
the area of a triangle will be when a = 5 m , b = 7 m , c = 8 m , a , b , c being lengths of respective sides ?	3geometry
there is enough provisions for 600 men in an army camp for 25 days . if there were 100 men less , how long will the provision last ?	1physics
what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 11 nor by 34 ?	5other
veena ranks 79 rd from the top in a class of 182 . what is her rank from the bottom if 22 students have failed the examination ?	5other
the avg weight of a , b & c is 84 kg . if d joins the group , the avg weight of the group becomes 80 kg . if another man e who weights is 4 kg more than d replaces a , then the avgof b , c , d & e becomes 79 kg . what is the weight of a ?	0general
a certain telescope increases the visual range at a particular location from 100 kilometers to 150 kilometers . by what percent is the visual range increased by using the telescope ?	0general
what is the area of a square field whose diagonal of length 10 m ?	3geometry
if a wholesaler distributes items to several outlets ( a , b , c and d ) in the ratio of 1 / 10 : 1 / 11 : 1 / 15 : 1 / 16 , then find the total number of items the wholesaler distributes ?	0general
what is the lowest positive integer that is divisible by each of the integers 1 through 9 inclusive ?	0general
the average weight of a group of boys is 20 kg . after a boy of weight 36 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ?	0general
if 2994 ã · 14.5 = 175 , then 29.94 ã · 1.45 = ?	0general
what is the remainder when the number y = 14 ^ 2 * 15 ^ 8 is divided by 5 ?	0general
there are 50 students in a class . if 2 % are absent on a particular day , find the number of students present in the class .	2gain
if k and w are the dimensions of a rectangle that has area 40 , and if k and w are integers such that k > w , what is the total number of possible values of k ?	3geometry
jim drove 215 miles of a 1200 miles journey . how many more miles does he need to drive to finish his journey ?	1physics

a large field of 700 hectares is divided into two parts . the difference of the areas of the two parts is one – fifth of the average o fthe two areas . what is the area of the smaller part in hectares ?

0general

what is the least number of square tiles required to pave the floor of a room 13 m 44 cm long and 4 m 44 cm broad ?

1physics

micheal and adam can do together a piece of work in 20 days . after they have worked together for 16 days micheal stops and adam completes the remaining work in 10 days . in how many days micheal complete the work separately .

1physics

a palindrome is a number that reads the same forward and backward , such as 171 . how many even , 6 - digit numbers are palindromes ?

0general

of the 200 stamps in a collection , 90 are foreign and 50 are more than 10 years old . if 20 stamps are both foreign and more than 10 years old , how many stamps are neither foreign nor more than 10 years old ?

5other

after doing 3 / 5 of the biology homework on monday night , sanjay did 1 / 3 of the remaining homework on tuesday night . what fraction of the original homework would sanjay have to do on wednesday night to complete the biology assignment ?

1physics

difference of two numbers is 1860 . if 7.5 % of the number is 12.5 % of the other number , find the number ?

2gain

a box contains 9 slips that are each labeled with one number : 1 , 2 , 3 , 5 , 8 , 13 , 21 , and 55 . two of the slips are drawn at random from the box without replacement . what is the probability that the sum of the numbers on the two slips is equal to one of the numbers left in the box ?

0general

a shopkeeper sold an article offering a discount of 4 % and earned a profit of 26 % . what would have been the percentage of profit earned if no discount was offered ?

2gain

find the area of trapezium whose parallel sides are 24 cm and 14 cm long , and the distance between them is 18 cm ?

1physics

the reciprocal of the hcf and lcm of two are 1 / 17 and 1 / 312 . if one of the number is 24 then other no . is

1physics

a man bought 10 crates of mangoes for $ 160 total . if he lost 2 of the crates , at what price would he have to sell each of the remaining crates in order to earn a total profit of 25 percent of the total cost ?

2gain

the speed at which a man can row a boat in still water is 6.5 kmph . if he rows downstream , where the speed of current is 2.5 kmph , what time will he take to cover 90 metres ?

1physics

if x = 1 + √ 2 , then what is the value of x 4 - 4 x 3 + 4 x 2 + 4 ?

0general

a cube of side 1.5 meter length is cut into small cubes of side 10 cm each . how many such small cubes can be obtained ?

1physics

if the average ( arithmetic mean ) of a and b is 45 and the average of b and c is 70 , what is the value of c − a ?

0general

the angle between the minute hand and the hour hand of a clock when the time is 8 : 30

1physics

a large tank can filled by a and b in 30 minutes and 45 minutes respectively . how many minutes will it take to fill the tanker from empty state if b is used for half the time and a and b fill it together for the other half ?

1physics

the average of 1 st 3 of 4 numbers is 6 and of the last 3 are 5 . if the sum of the first and the last number is 13 . what is the last numbers ?

0general

if the wheel is 14 cm then the number of revolutions to cover a distance of 4136 cm is ?

1physics

the parameter of a square is equal to the perimeter of a rectangle of length 36 cm and breadth 20 cm . find the circumference of a semicircle whose diameter is equal to the side of the square . ( round off your answer to two decimal places ) ?

3geometry

on selling 15 balls at rs . 720 , there is a loss equal to the cost price of 5 balls . the cost price of a ball is :

2gain

two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 3 litres from vessel p is mixed with 4 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ?

5other

x and y are positive integers . when x is divided by 6 , the remainder is 3 , and when x is divided by 16 , the remainder is 5 . when y is divided by 9 , the remainder is 5 , and when y is divided by 7 , the remainder is 4 . what is the least possible value of x / y ?

0general

in what time will a train 600 meters long cross an electric pole , if its speed is 144 km / hr

1physics

a certain class of students is being divided into teams . the class can either be divided into 10 teams with an equal number of players on each team or 24 teams with an equal number of players on each team . what is the lowest possible number of students in the class ?

0general

a man took a loan from a bank at the rate of 12 % p . a . simple interest . after 3 years he had to pay rs . 5400 interest only for the period . the principal amount borrowed by him was :

2gain

the ratio of the present age of sandy to that of molly is 7 : 2 . twelve years from now , the ratio of the ages of sandy to molly will be 5 : 2 . what was sandy ' s age 6 years ago ?

5other

the sides of a triangle are in the ratio 3 : 5 : 7 . if the pereimeter is 60 cms , the longest side is

1physics

how many positive integers between 5 and 5000 ( both are inclusive ) are there such that they are multiples of 5 ?

5other

the sale price sarees listed for rs . 528 after successive discount is 20 % and 10 % is ?

2gain

a train covers a distance of 9 km in 6 min . if it takes 5 sec to pass a telegraph post , then the length of the train is ?

1physics

the ratio of the number of red cars in a certain parking lot to the number of black cars is 3 to 8 . if there are 52 black cars in the lot , how many red cars are there in the lot ?

5other

in a certain pet shop , the ratio of dogs to cats to bunnies in stock is 3 : 5 : 9 . if the shop carries 204 dogs and bunnies total in stock , how many dogs are there ?

5other

a shop produces sarongs . the daily average production is given by 5 n + 20 , where n is the number of workers aside from the owner . in the first k days , 500 units are produced , and then 5 workers are added to the team . after another k days , the cumulative total is 900 . how many workers were part of the latter production run ?

0general

there are 5 guys who have equal number of bullets . all of them shoot 4 bullets . the remaining bullets are equal to the total number of bullets remaining is equal to the bullets each had after division . what was the original number of bullets each one had ?

0general

the cost price of an article is 55 % of the marked price . calculate the gain percent after allowing a discount of 15 % .

2gain

a full stationary oil tank that is a right circular cylinder has a radius of 100 feet and a height of 25 feet . oil is pumped from the stationary tank to an oil truck that has a tank that is a right circular cylinder until the truck ' s tank is completely filled . if the truck ' s tank has a radius of 4 feet and a height of 10 feet , how far ( in feet ) did the oil level drop in the stationary tank ?

3geometry

peter and tom shared the driving on a certain trip . if peter and tom both drove for the same amount of time , but peter only drove 2 / 5 of the total distance , what was the ratio of tom ' s average speed to peter ' s average speed ?

0general

a grocery shop has a sale of rs . 6735 , rs . 6927 , rs . 6855 , rs . 7230 and rs . 6562 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 6500 ?

0general

a person can swim in still water at 4 km / h . if the speed of water 2 km / h , how many hours will the man take to swim back against the current for 12 km ?

1physics

1 / 4 of all the juniors and 2 / 3 of all the seniors are going on a trip . if there are 2 / 3 as many juniors as seniors , what fraction of the students are not going on the trip ?

0general

sonika deposited rs . 4500 which amounted to rs . 8400 after 2 years at simple interest . had the interest been 4 % more . she would get how much ?

2gain

a grocer has a sale of rs . 4000 , rs . 6524 , rs . 5689 , rs . 7230 and rs . 6000 for 5 consecutive months . how much sale must he have in the sixth month so that he gets an average sale of rs . 7000 ?

0general

in one hour , a boat goes 14 km / hr along the stream and 8 km / hr against the stream . the speed of the boat in still water ( in km / hr ) is :

1physics

at a contest with 2000 participants , 1 / 2 of the people are aged 16 to 18 . next year , the number of people aged 16 to 18 will increase by 1 / 4 . after this change , what percentage of the total 2000 people will the 16 - to 18 - year - olds represent ?

0general

two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 70 kmph respectively . in what time will they cross each other completely ?

1physics

the closest approximation of f ( 69.28 × 0.004 ) / 0.03 is

0general

there are 9 executives , including the ceo and cfo , that are asked to form a small team of 4 members . however , the ceo and cfo may not both be assigned to the team . given this constraint , how many ways are there to form the team ?

5other

the average of first 11 prime numbers is ?

0general

if 12 men or 20 women can do a piece of work in 108 days , then in how many days can 9 men and 12 women together do the work ?

1physics

the market value of a 10.5 % stock , in which an income of rs . 756 is derived by investing rs . 7500 , brokerage being 1 / 4 % , is :

2gain

a bag contains 6 black and 5 white balls . one ball is drawn at random . what is the probability that the ball drawn is white ?

4probability

in what ratio water be mixed with milk costing rs . 12 per liter to obtain a mixture worth of rs . 8 per litre ?

5other

find the largest number of 4 digits which is exactly divisible by 2718 , 1615

0general

a reindeer chased by a cheetah passed a certain tree at a constant speed of 50 miles per hour while being chased by a cheetah . then , 2 minutes later , the cheetah passed the same tree at a constant speed of 60 miles per hour . if both animals maintained their speeds , how long after the cheetah passed the tree did the cheetah catch up with the reindeer ?

1physics

if the numbers 1 to 100 are written on 100 pieces of paper , ( one on each ) and one piece is picked at random , then what is the probability that the number drawn is neither prime nor composite ?

5other

a fort had provision of food for 150 men for 45 days . after 10 days , 25 men left the fort . find out the number of days for which the remaining food will last

1physics

a can do a work in 6 days , b can do a work in 8 days and c can do it in 12 days . b left work after 2 days . for how many number of days should a and c should work together to complete the remaining work ?

1physics

jack , jill , and sandy each have one try to make a basket from half court . if their individual probabilities of making the basket are 1 / 6 , 1 / 7 , and 1 / 8 respectively , what is the probability that jack and sandy will make a basket but jill will miss ?

0general

a mixture contains milk and water in the ratio 7 : 3 . on adding 20 liters of water , the ratio of milk to water becomes 7 : 5 . total quantity of milk & water before adding water to it ?

0general

the average age of a class of 20 students is 14 years . the average increased by 2 when the teacher ' s age also included . what is the age of the teacher ?

0general

a basketball team composed of 12 players scored 100 points in a particular contest . if none of the individual players scored fewer than 7 points , what is the greatest number of points w that an individual player might have scored ?

0general

the average length of 6 strings is 80 cm . if the average length of one third of the strings is 70 cm , what is the average of the other strings ?

0general

a can do a piece of work in 24 days and b can do it in 15 days and c can do it 20 days . they started the work together and a leaves after 2 days and b leaves after 4 days from the beginning . how long will work lost ?

1physics

a palindrome is a number that reads the same forward and backward , such as 242 . how many even 9 - digit numbers are palindromes ?

0general

a cube is divided into 64 identical cubelets . each cut is made parallel to some surface of the cube . but before doing that , the cube is painted with green on one set of opposite faces , red on another set of opposite faces , and blue on the third set of opposite faces . how many cubelets are painted with exactly one colour ?

3geometry

what is the probability of getting a sum of 12 when rolling 3 dice simultaneously ?

4probability

at an upscale fast - food restaurant , shin can buy 3 burgers , 7 shakes , and one cola for $ 110 . at the same place it would cost $ 164.50 for 4 burgers , 10 shakes , and one cola . how much would it cost for a meal of one burger , one shake , and one cola ?

0general

find the cost of fencing around a circular field of diameter 30 m at the rate of rs . 2 a meter ?

1physics

what is the ratio whose term differ by 40 and the measure of which is 2 / 7 ?

5other

in how many ways 4 boys and 2 girls can be seated in a row so that they are alternate .

4probability

find the ones digit of 73 ^ 352

0general

the difference between the compound interest and simple interest on a certain sum of money at 5 % per annum for 2 years is 45 . then the original sum is ?

2gain

the least number , which when divided by 12 , 15 , 20 and 54 leaves in each case a remainder of 13 is :

0general

sally has a gold credit card with a certain spending limit , and a platinum card with twice the spending limit of the gold card . currently , she has a balance on her gold card that is 1 / 3 of the spending limit on that card , and she has a balance on her platinum card that is 1 / 4 of the spending limit on that card . if sally transfers the entire balance on her gold card to her platinum card , what portion of her limit on the platinum card will remain unspent ?

0general

at the end of the day , february 14 th , a florist had 120 roses left in his shop , all of which were red , white or pink in color and either long or short - stemmed . a third of the roses were short - stemmed , 30 of which were white and 5 of which were pink . the percentage of pink roses that were short - stemmed equaled the percentage of red roses that were short - stemmed . if none of the long - stemmed roses were white , what percentage of the long - stemmed roses were red ?

0general

a car is running at a speed of 108 kmph . what distance will it cover in 15 sec ?

1physics

two trains each 250 m in length are running on the same parallel lines in opposite directions with the speed of 80 kmph and 60 kmph respectively . in what time will they cross each other completely ?

1physics

at a certain food stand , the price of each apple is 40 ¢ and the price of each orange is 60 ¢ . mary selects a total of 10 apples and oranges from the food stand , and the average ( arithmetic mean ) price of the 10 pieces of fruit is 52 ¢ . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 44 ¢ ?

0general

there were 35 students in a hostel . due to the admission of 7 new students the expenses of the mess were increased by rs . 42 per day while the average expenditure per head diminished by re 1 . what was the original expenditure of the mess ?

0general

excluding stoppages , the speed of a bus is 54 km / hr and including stoppages , it is 45 km / hr . for how many minutes does the bus stop per hour ?

1physics

a man two flats for $ 675958 each . on one he gains 15 % while on the other he loses 15 % . how much does he gain or lose in the whole transaction ?

2gain

the product of three consecutive numbers is 990 . then the sum of the smallest two numbers is ?

0general

61 + 5 * 12 / ( 180 / 3 ) = ?

0general

the area of a triangle will be when a = 5 m , b = 7 m , c = 8 m , a , b , c being lengths of respective sides ?

3geometry

there is enough provisions for 600 men in an army camp for 25 days . if there were 100 men less , how long will the provision last ?

1physics

what is the number of integers from 1 to 1000 ( inclusive ) that are divisible by neither 11 nor by 34 ?

5other

veena ranks 79 rd from the top in a class of 182 . what is her rank from the bottom if 22 students have failed the examination ?

5other

the avg weight of a , b & c is 84 kg . if d joins the group , the avg weight of the group becomes 80 kg . if another man e who weights is 4 kg more than d replaces a , then the avgof b , c , d & e becomes 79 kg . what is the weight of a ?

0general

a certain telescope increases the visual range at a particular location from 100 kilometers to 150 kilometers . by what percent is the visual range increased by using the telescope ?

0general

what is the area of a square field whose diagonal of length 10 m ?

3geometry

if a wholesaler distributes items to several outlets ( a , b , c and d ) in the ratio of 1 / 10 : 1 / 11 : 1 / 15 : 1 / 16 , then find the total number of items the wholesaler distributes ?

0general

what is the lowest positive integer that is divisible by each of the integers 1 through 9 inclusive ?

0general

the average weight of a group of boys is 20 kg . after a boy of weight 36 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ?

0general

if 2994 ã · 14.5 = 175 , then 29.94 ã · 1.45 = ?

0general

what is the remainder when the number y = 14 ^ 2 * 15 ^ 8 is divided by 5 ?

0general

there are 50 students in a class . if 2 % are absent on a particular day , find the number of students present in the class .

2gain

if k and w are the dimensions of a rectangle that has area 40 , and if k and w are integers such that k > w , what is the total number of possible values of k ?

3geometry

jim drove 215 miles of a 1200 miles journey . how many more miles does he need to drive to finish his journey ?

1physics