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

Problem stringlengths 5 967	category class label 6 classes
if 17 ^ 4 * 13 ^ 4 * 9 ^ 4 * 8 ^ 4 = x , what is the units digit of x ?	0general
mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.15 more than the next one below it in size . what was the cost , in dollars , of the largest pot ?	0general
a pipe can fill a cistern in 66 minutes . find the time in which 1 / 11 part of the cistern will be filled ?	1physics
a train crosses a platform of 160 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ?	1physics
if a = 1 , what is the value of – ( a ^ 2 + a ^ 3 + a ^ 4 + a ^ 5 + a ^ 6 ) ?	0general
a positive number x is multiplied by 2 , and this product is then divided by 5 . if the positive square root of the result of these two operations equals x , what is the value of x ?	0general
if the number 892 , 132,26 x is divisible by 11 , what must be the value of x ?	0general
two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.75 km and 1.10 km respectively . the time taken by the slower train to cross the faster train in seconds is ?	1physics
a and b put in rs . 300 and rs . 400 respectively into a business . a reinvests into the business his share of the first year ' s profit of rs . 210 where as b does not . in what ratio should they divide the second year ' s profit ?	2gain
tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , the price of the third variety per kg will be	5other
if a and b are integers and ( a * b ) ^ 5 = 144 y , y could be :	0general
on dividing 23 by a number , the quotient is 4 and the remainder is 3 . find the divisor .	0general
the diagonal of a rectangle is 41 cm and its area is 20 sq . cm . the perimeter of the rectangle must be :	3geometry
a boy is travelling from his home to school at 12 km / hr and reached 7 min late . next day he traveled at 16 km / hr and reached 8 min early . distance between home and school ?	1physics
if a and b get profits of rs . 15,000 and rs . 5,000 respectively at the end of year then ratio of their investments are	2gain
after an ice began to melt out from the freezer , in the first hour lost 3 / 4 , in the second hour lost 3 / 4 of its remaining . if after two hours , the volume is 0.4 cubic inches , what is the original volume of the cubic ice , in cubic inches ?	1physics
the speed of a car is 10 km in the first hour and 60 km in the second hour . what is the average speed of the car ?	1physics
how many integers between 324,700 and 436,600 have tens digit 1 and units digit 3 ?	0general
plaudia can choose any two of 4 different candles and any 8 of 9 different flowers for a centerpiece arrangement . given these choices , how many candle + flower groupings can she select ?	0general
in town x , 64 percent of the population are employed , and 55 percent of the population are employed males . what percent of the employed people in town x are females ?	2gain
for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 30 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ?	0general
ifaequals the sum of the even integers from 2 to 20 , inclusive , andbequals the sum of the odd integers from 1 to 19 , inclusive , what is the value of a + b ?	0general
a car takes 6 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?	1physics
how long will a boy take to run round a square field of side 50 meters , if he runs at the rate of 12 km / hr ?	2gain
a batsman in his 17 th innings makes a score of 85 and their by increasing his average by 3 . what is his average after the 17 th innings ?	0general
running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 5 such machines produce in 4 minutes ?	2gain
when a train travels at a speed of 70 kmph , it reaches the destination on time . when the same train travels at a speed of 50 kmph , it reaches its destination 15 min late . what is the length of journey ?	1physics
p , q and r have $ 9000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ?	0general
if two dice are thrown together , the probability of getting an even number on one die and an odd number on the other is - .	4probability
the sum of the present ages of two persons a and b is 60 . if the age of a is twice that of b , find the sum of their ages 2 years hence ?	0general
what is the units digit of the expression 13 ^ 27 + 1 ?	0general
how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 340 m in length ?	1physics
the cost price of 30 articles is the same as the selling price of x articles . if the profit is 25 % , what is x ?	2gain
a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 42 , the how old is b ?	0general
calculate the ratio between x and y if 15 % of x equal to 50 % of y ?	0general
if 0.8 of a number is equal to 0.09 of another number , the ratio of the numbers i	5other
the product of 3 consecutive numbers is 210 . then the sum of the smallest two numbers is ?	0general
how many integers between 263,205 and 658,805 have tens digit 1 and units digit 3 ?	0general
the diagonals of a rhombus are 11 cm and 20 cm . find its area ?	3geometry
a man can row his boat with the stream at 36 km / h and against the stream in 8 km / h . the man ' s rate is ?	2gain
ashok secured average of 75 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ?	0general
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 5 m , the volume of the box ( in m 3 ) is :	3geometry
a rectangular lawn of dimensions 80 m * 60 m has two roads each 15 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ?	3geometry
a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing . if the poles of the fence are kept 4 metres apart , how many poles will be needed ?	1physics
if the capacity of a cylindrical tank is 1848 m 3 and the diameter of its base is 14 m , then find the depth of the tank .	1physics
if a train , travelling at a speed of 160 kmph , crosses a pole in 18 sec , then the length of train is ?	1physics
a tank is 25 m long 12 m wide and 6 m deep . the cost of plastering its walls and bottom at 45 paise per sq m is	1physics
a man rows his boat 120 km downstream and 60 km upstream , taking 2 hours each time . find the speed of the stream ?	1physics
there are 14 slate rocks , 20 pumice rocks , and 10 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ?	5other
my grandson is about as many days as my son in weeks , and my grandson is as many months as i am in years . my grandson , my son and i together are 150 years . can you tell my son age in years ?	1physics
a merchant sells an item at a 20 % discount , but still makes a gross profit of 20 percent of the cost . what percent t of the cost would the gross profit on the item have been if it had been sold without the discount ?	2gain
in a race of 1000 m , a can beat by 100 m , in a race of 800 m , b can beat c by 100 m . by how many meters will a beat c in a race of 900 m ?	1physics
if rs . 7500 are borrowed at c . i at the rate of 4 % per annum , then after 3 years the amount to be paid is ?	2gain
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 21 mph between the 2 friends until the friends meet . how many miles does the pigeon travel ?	1physics
the sum of number of boys and girls in a school is 400 . if the number of boys is x , then the number of girls becomes x % of the total number of students . the number of boys is ?	0general
a customer bought a product at the shop . however , the shopkeeper increased the price of the product by 15 % so that the customer could not buy the required amount of the product . the customer managed to buy only 60 % of the required amount . what is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase ?	0general
the h . c . f . of two numbers is 12 and their l . c . m . is 600 . if one of the number is 30 , find the other ?	1physics
if xy = 1 , x / y = 36 , for positive numbers x and y , y = ?	0general
for covering 88 km a wheel revolve 1000 times . what is the radius of wheel ?	0general
a car covers a distance of 642 km in 6 ½ hours . find its speed ?	1physics
a can complete a certain job in 18 days . b is 80 % more efficient than a . in how many days can b complete the same job ?	2gain
i sold a book at a profit of 12 % . had i sold it for $ 18 more , 18 % would have been gained . find the cost price ?	2gain
the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 21 minutes is :	1physics
if the price of an article went up by 25 % , then by what percent should it be brought down to bring it back to its original price ?	2gain
a retailer buys 40 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of 1 % , what is the profit % ?	2gain
given a circular wheel of 3.62 m radius how many revolutions will the will make to travel a distance of 1 km ?	1physics
find the least number must be subtracted from 427398 so that remaining no . is divisible by 15 ?	0general
if 15 students in a class average 73 % on an exam and 10 students average 88 % on the same exam , what is the average in percent for all 25 students ?	0general
if the price of a tv is first decreased by 10 % and then increased by 30 % , then the net change in the price will be :	0general
if the true discount on a sum due 2 years hence at 14 % per annum be rs . 168 , the sum due is :	2gain
the difference between the ages of two persons is 30 years . fifteen years ago , the elder one was twice as old as the younger one . the present age of the younger person is ?	0general
a store owner estimates that the average price of type a products will increase by 20 % next year and that the price of type b products will increase by 11 % next year . this year , the total amount paid for type a products was $ 3500 and the total price paid for type b products was $ 8600 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ?	0general
a soft drink company had 6000 small and 10000 big bottles in storage . if 12 % of small 15 % of big bottles have been sold , then the total bottles remaining in storage is	0general
in a race where 18 cars are running , the chance that car x will win is 1 / 8 , that y will win is 1 / 12 and that z will win is 1 / 6 . assuming that a dead heat is impossible , find the chance that one of them will win .	0general
the average marks of 25 students in a class is 100 . but a student mark is wrongly noted as 60 instead of 10 then find the correct average marks ?	0general
what is the sum of the local values of the digits 2 , 3 , 4 , 5 in the number 2345 ?	0general
a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 91000 , then the share of b is ?	2gain
54671 - 14456 - 33490 = ?	0general
if p and q are positive integers each greater than 1 , and 17 ( p + 1 ) = 28 ( q + 1 ) , what is the least possible value of p + q ?	0general
what is the area of square field whose side of length 8 m ?	3geometry
a thief is spotted by a policeman from a distance of 225 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ?	1physics
a , b , c can complete a piece of work in 24,6 and 12 days respectively . working together , they will complete the same work in how many days ?	1physics
mary works 9 hours per day on monday , wednesday and friday , and 5 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 407 per week . how much does she earn in dollars per hour ?	1physics
when a number is divided by 4 & then multiply by 12 the answer is 9 what is the no . ?	0general
a toy store ' s revenue in november was 3 / 5 of its revenue in december and its revenue in january was 3 / 4 of its revenue in november , then the store ' s revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january ?	0general
of the goose eggs laid at a certain pond , 1 / 4 hatched and 4 / 5 of the geese that hatched from those eggs survived the first month . of the geese that survived the first month , 2 / 5 did not survive the first year . if 120 geese survived the first year and if no more than one goose hatched from each egg , how many goose eggs were laid at the pond ?	0general
in a graduate physics course , 60 percent of the students are male and 30 percent of the students are married . if two - sevenths of the male students are married , what fraction of the female students is single ?	2gain
calculate the average of first 18 even numbers is ?	0general
an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 22 gallons of ethanol , how many gallons of fuel a were added ?	2gain
in a class of 36 students 26 play football and play 20 long tennis , if 17 play above , many play neither ?	5other
on dividing a number by 56 , we get 29 as remainder . on dividing the same number by 8 , what will be the remainder ?	0general
given that p is a positive even integer with a positive units digit , if the units digit of p ^ 3 minus the units digit of p ^ 2 is equal to 0 , what is the units digit of p + 2 ?	0general
dan ' s age after 18 years will be 5 times his age 6 years ago . what is the present age of dan ?	0general
the end of a blade on an airplane propeller is 10 feet from the center . if the propeller spins at the rate of 1,980 revolutions per second , how many miles will the tip of the blade travel in one minute ? ( 1 mile = 5,280 feet )	1physics
a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of 9 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ?	5other
if 5 % more is gained by selling an article for rs . 420 than by selling it for rs . 380 , the cost of the article is ?	2gain
the area of a square is equal to five times the area of a rectangle of dimensions 36 cm * 20 cm . what is the perimeter of the square ?	3geometry
each of the 39 points is placed either inside or on the surface of a perfect sphere . if 72 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ?	3geometry
the proportion of water to alcohol in solution a is 5 : 4 and the proportion of water to alcohol in solution b is 6 : 5 . if an equal amount of each solution is mixed together , what is the concentration of alcohol in the new solution ?	0general
in the coordinate plane , one of the vertices of a square is the point ( - 4 , - 4 ) . if the diagonals of that square intersect at point ( 3 , 2 ) , what is the area of that square ?	3geometry

if 17 ^ 4 * 13 ^ 4 * 9 ^ 4 * 8 ^ 4 = x , what is the units digit of x ?

0general

mark bought a set of 6 flower pots of different sizes at a total cost of $ 8.25 . each pot cost 0.15 more than the next one below it in size . what was the cost , in dollars , of the largest pot ?

0general

a pipe can fill a cistern in 66 minutes . find the time in which 1 / 11 part of the cistern will be filled ?

1physics

a train crosses a platform of 160 m in 15 sec , same train crosses another platform of length 250 m in 20 sec . then find the length of the train ?

1physics

if a = 1 , what is the value of – ( a ^ 2 + a ^ 3 + a ^ 4 + a ^ 5 + a ^ 6 ) ?

0general

a positive number x is multiplied by 2 , and this product is then divided by 5 . if the positive square root of the result of these two operations equals x , what is the value of x ?

0general

if the number 892 , 132,26 x is divisible by 11 , what must be the value of x ?

0general

two trains are moving in opposite directions at 60 km / hr and 90 km / hr . their lengths are 1.75 km and 1.10 km respectively . the time taken by the slower train to cross the faster train in seconds is ?

1physics

a and b put in rs . 300 and rs . 400 respectively into a business . a reinvests into the business his share of the first year ' s profit of rs . 210 where as b does not . in what ratio should they divide the second year ' s profit ?

2gain

tea worth rs . 126 per kg are mixed with a third variety in the ratio 1 : 1 : 2 . if the mixture is worth rs . 153 per kg , the price of the third variety per kg will be

5other

if a and b are integers and ( a * b ) ^ 5 = 144 y , y could be :

0general

on dividing 23 by a number , the quotient is 4 and the remainder is 3 . find the divisor .

0general

the diagonal of a rectangle is 41 cm and its area is 20 sq . cm . the perimeter of the rectangle must be :

3geometry

a boy is travelling from his home to school at 12 km / hr and reached 7 min late . next day he traveled at 16 km / hr and reached 8 min early . distance between home and school ?

1physics

if a and b get profits of rs . 15,000 and rs . 5,000 respectively at the end of year then ratio of their investments are

2gain

after an ice began to melt out from the freezer , in the first hour lost 3 / 4 , in the second hour lost 3 / 4 of its remaining . if after two hours , the volume is 0.4 cubic inches , what is the original volume of the cubic ice , in cubic inches ?

1physics

the speed of a car is 10 km in the first hour and 60 km in the second hour . what is the average speed of the car ?

1physics

how many integers between 324,700 and 436,600 have tens digit 1 and units digit 3 ?

0general

plaudia can choose any two of 4 different candles and any 8 of 9 different flowers for a centerpiece arrangement . given these choices , how many candle + flower groupings can she select ?

0general

in town x , 64 percent of the population are employed , and 55 percent of the population are employed males . what percent of the employed people in town x are females ?

2gain

for an agricultural experiment , 300 seeds were planted in one plot and 200 were planted in a second plot . if exactly 30 percent of the seeds in the first plot germinated and exactly 35 percent of the seeds in the second plot germinated , what percent of the total number of seeds germinated ?

0general

ifaequals the sum of the even integers from 2 to 20 , inclusive , andbequals the sum of the odd integers from 1 to 19 , inclusive , what is the value of a + b ?

0general

a car takes 6 hours to cover a distance of 540 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?

1physics

how long will a boy take to run round a square field of side 50 meters , if he runs at the rate of 12 km / hr ?

2gain

a batsman in his 17 th innings makes a score of 85 and their by increasing his average by 3 . what is his average after the 17 th innings ?

0general

running at the same constant rate , 6 identical machines can produce a total of 270 bottles per minute . at this rate , how many bottles could 5 such machines produce in 4 minutes ?

2gain

when a train travels at a speed of 70 kmph , it reaches the destination on time . when the same train travels at a speed of 50 kmph , it reaches its destination 15 min late . what is the length of journey ?

1physics

p , q and r have $ 9000 among themselves . r has two - thirds of the total amount with p and q . find the amount with r ?

0general

if two dice are thrown together , the probability of getting an even number on one die and an odd number on the other is - .

4probability

the sum of the present ages of two persons a and b is 60 . if the age of a is twice that of b , find the sum of their ages 2 years hence ?

0general

what is the units digit of the expression 13 ^ 27 + 1 ?

0general

how long does a train 110 m long traveling at 60 kmph takes to cross a bridge of 340 m in length ?

1physics

the cost price of 30 articles is the same as the selling price of x articles . if the profit is 25 % , what is x ?

2gain

a is two years older than b who is twice as old as c . if the total of the ages of a , b and c be 42 , the how old is b ?

0general

calculate the ratio between x and y if 15 % of x equal to 50 % of y ?

0general

if 0.8 of a number is equal to 0.09 of another number , the ratio of the numbers i

5other

the product of 3 consecutive numbers is 210 . then the sum of the smallest two numbers is ?

0general

how many integers between 263,205 and 658,805 have tens digit 1 and units digit 3 ?

0general

the diagonals of a rhombus are 11 cm and 20 cm . find its area ?

3geometry

a man can row his boat with the stream at 36 km / h and against the stream in 8 km / h . the man ' s rate is ?

2gain

ashok secured average of 75 marks in 6 subjects . if the average of marks in 5 subjects is 74 , how many marks did he secure in the 6 th subject ?

0general

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 5 m , the volume of the box ( in m 3 ) is :

3geometry

a rectangular lawn of dimensions 80 m * 60 m has two roads each 15 m wide running in the middle of the lawn , one parallel to the length and the other parallel to the breadth . what is the cost of traveling the two roads at rs . 3 per sq m ?

3geometry

a rectangular plot measuring 90 metres by 50 metres is to be enclosed by wire fencing . if the poles of the fence are kept 4 metres apart , how many poles will be needed ?

1physics

if the capacity of a cylindrical tank is 1848 m 3 and the diameter of its base is 14 m , then find the depth of the tank .

1physics

if a train , travelling at a speed of 160 kmph , crosses a pole in 18 sec , then the length of train is ?

1physics

a tank is 25 m long 12 m wide and 6 m deep . the cost of plastering its walls and bottom at 45 paise per sq m is

1physics

a man rows his boat 120 km downstream and 60 km upstream , taking 2 hours each time . find the speed of the stream ?

1physics

there are 14 slate rocks , 20 pumice rocks , and 10 granite rocks randomly distributed in a certain field . if 2 rocks are chosen at random and without replacement , what is the probability that both rocks will be slate rocks ?

5other

my grandson is about as many days as my son in weeks , and my grandson is as many months as i am in years . my grandson , my son and i together are 150 years . can you tell my son age in years ?

1physics

a merchant sells an item at a 20 % discount , but still makes a gross profit of 20 percent of the cost . what percent t of the cost would the gross profit on the item have been if it had been sold without the discount ?

2gain

in a race of 1000 m , a can beat by 100 m , in a race of 800 m , b can beat c by 100 m . by how many meters will a beat c in a race of 900 m ?

1physics

if rs . 7500 are borrowed at c . i at the rate of 4 % per annum , then after 3 years the amount to be paid is ?

2gain

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 21 mph between the 2 friends until the friends meet . how many miles does the pigeon travel ?

1physics

the sum of number of boys and girls in a school is 400 . if the number of boys is x , then the number of girls becomes x % of the total number of students . the number of boys is ?

0general

a customer bought a product at the shop . however , the shopkeeper increased the price of the product by 15 % so that the customer could not buy the required amount of the product . the customer managed to buy only 60 % of the required amount . what is the difference in the amount of money that the customer paid for the second purchase compared to the first purchase ?

0general

the h . c . f . of two numbers is 12 and their l . c . m . is 600 . if one of the number is 30 , find the other ?

1physics

if xy = 1 , x / y = 36 , for positive numbers x and y , y = ?

0general

for covering 88 km a wheel revolve 1000 times . what is the radius of wheel ?

0general

a car covers a distance of 642 km in 6 ½ hours . find its speed ?

1physics

a can complete a certain job in 18 days . b is 80 % more efficient than a . in how many days can b complete the same job ?

2gain

i sold a book at a profit of 12 % . had i sold it for $ 18 more , 18 % would have been gained . find the cost price ?

2gain

the speed of a boat in still water is 20 km / hr and the rate of current is 5 km / hr . the distance travelled downstream in 21 minutes is :

1physics

if the price of an article went up by 25 % , then by what percent should it be brought down to bring it back to its original price ?

2gain

a retailer buys 40 pens at the market price of 36 pens from a wholesaler , if he sells these pens giving a discount of 1 % , what is the profit % ?

2gain

given a circular wheel of 3.62 m radius how many revolutions will the will make to travel a distance of 1 km ?

1physics

find the least number must be subtracted from 427398 so that remaining no . is divisible by 15 ?

0general

if 15 students in a class average 73 % on an exam and 10 students average 88 % on the same exam , what is the average in percent for all 25 students ?

0general

if the price of a tv is first decreased by 10 % and then increased by 30 % , then the net change in the price will be :

0general

if the true discount on a sum due 2 years hence at 14 % per annum be rs . 168 , the sum due is :

2gain

the difference between the ages of two persons is 30 years . fifteen years ago , the elder one was twice as old as the younger one . the present age of the younger person is ?

0general

a store owner estimates that the average price of type a products will increase by 20 % next year and that the price of type b products will increase by 11 % next year . this year , the total amount paid for type a products was $ 3500 and the total price paid for type b products was $ 8600 . according to the store owner ' s estimate , and assuming the number of products purchased next year remains the same as that of this year , how much will be spent for both products next year ?

0general

a soft drink company had 6000 small and 10000 big bottles in storage . if 12 % of small 15 % of big bottles have been sold , then the total bottles remaining in storage is

0general

in a race where 18 cars are running , the chance that car x will win is 1 / 8 , that y will win is 1 / 12 and that z will win is 1 / 6 . assuming that a dead heat is impossible , find the chance that one of them will win .

0general

the average marks of 25 students in a class is 100 . but a student mark is wrongly noted as 60 instead of 10 then find the correct average marks ?

0general

what is the sum of the local values of the digits 2 , 3 , 4 , 5 in the number 2345 ?

0general

a started a business with an investment of rs . 70000 and after 6 months b joined him investing rs . 120000 . if the profit at the end of a year is rs . 91000 , then the share of b is ?

2gain

54671 - 14456 - 33490 = ?

0general

if p and q are positive integers each greater than 1 , and 17 ( p + 1 ) = 28 ( q + 1 ) , what is the least possible value of p + q ?

0general

what is the area of square field whose side of length 8 m ?

3geometry

a thief is spotted by a policeman from a distance of 225 meters . when the policeman starts the chase , the thief also starts running . if the speed of the thief be 8 km / hr and that of the policeman 10 km / hr , how far the thief will have run before he is overtaken ?

1physics

a , b , c can complete a piece of work in 24,6 and 12 days respectively . working together , they will complete the same work in how many days ?

1physics

mary works 9 hours per day on monday , wednesday and friday , and 5 hours per day on tuesday and thursday . she does not work on saturday and sunday . she earns $ 407 per week . how much does she earn in dollars per hour ?

1physics

when a number is divided by 4 & then multiply by 12 the answer is 9 what is the no . ?

0general

a toy store ' s revenue in november was 3 / 5 of its revenue in december and its revenue in january was 3 / 4 of its revenue in november , then the store ' s revenue in december was how many times the average ( arithmetic mean ) of its revenues in november and january ?

0general

of the goose eggs laid at a certain pond , 1 / 4 hatched and 4 / 5 of the geese that hatched from those eggs survived the first month . of the geese that survived the first month , 2 / 5 did not survive the first year . if 120 geese survived the first year and if no more than one goose hatched from each egg , how many goose eggs were laid at the pond ?

0general

in a graduate physics course , 60 percent of the students are male and 30 percent of the students are married . if two - sevenths of the male students are married , what fraction of the female students is single ?

2gain

calculate the average of first 18 even numbers is ?

0general

an empty fuel tank with a capacity of 200 gallons was filled partially with fuel a and then to capacity with fuel b . fuel a contains 12 % ethanol by volume and fuel b contains 16 % ethanol by volume . if the full fuel tank contains 22 gallons of ethanol , how many gallons of fuel a were added ?

2gain

in a class of 36 students 26 play football and play 20 long tennis , if 17 play above , many play neither ?

5other

on dividing a number by 56 , we get 29 as remainder . on dividing the same number by 8 , what will be the remainder ?

0general

given that p is a positive even integer with a positive units digit , if the units digit of p ^ 3 minus the units digit of p ^ 2 is equal to 0 , what is the units digit of p + 2 ?

0general

dan ' s age after 18 years will be 5 times his age 6 years ago . what is the present age of dan ?

0general

the end of a blade on an airplane propeller is 10 feet from the center . if the propeller spins at the rate of 1,980 revolutions per second , how many miles will the tip of the blade travel in one minute ? ( 1 mile = 5,280 feet )

1physics

a grocery store bought some mangoes at a rate of 5 for a dollar . they were separated into two stacks , one of which was sold at a rate of 3 for a dollar and the other at a rate of 9 for a dollar . what was the ratio of the number of mangoes in the two stacks if the store broke even after having sold all of its mangoes ?

5other

if 5 % more is gained by selling an article for rs . 420 than by selling it for rs . 380 , the cost of the article is ?

2gain

the area of a square is equal to five times the area of a rectangle of dimensions 36 cm * 20 cm . what is the perimeter of the square ?

3geometry

each of the 39 points is placed either inside or on the surface of a perfect sphere . if 72 % or fewer of the points touch the surface , what is the maximum number of segments which , if connected from those points to form chords , could be the diameter of the sphere ?

3geometry

the proportion of water to alcohol in solution a is 5 : 4 and the proportion of water to alcohol in solution b is 6 : 5 . if an equal amount of each solution is mixed together , what is the concentration of alcohol in the new solution ?

0general

in the coordinate plane , one of the vertices of a square is the point ( - 4 , - 4 ) . if the diagonals of that square intersect at point ( 3 , 2 ) , what is the area of that square ?

3geometry