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

Problem stringlengths 5 967	category class label 6 classes
if m : n is 3 : 9 and n : p is 9 : 12 then m : p is equal to	1physics
the ration of the number of boys and girls in a college is 7 : 8 . if the percentage is increase in the number of boys and girls be 20 % and 10 % respectively . what will be the new ration ?	2gain
a and b can do a piece of work in 50 days and 50 days respectively . they work together for 10 days and b leaves . in how many days the whole work is completed ?	1physics
of all the homes on gotham street , 1 / 3 are termite - ridden , and 2 / 5 of these are collapsing . what fraction of the homes are termite - ridden , but not collapsing ?	0general
how many 3 - digit numerals begin with a digit that represents a odd prime and end with a digit that represents a prime number ?	0general
a certain mixture of nuts consists of 5 parts almonds to 1 parts walnuts , by weight . what is the number of pounds of almonds in 140 pounds of the mixture ?	0general
a certain number of workers can do a work in 45 days . if there were 10 workers more it could be finished in 10 days less . how many workers are there ?	1physics
the smallest number which when diminished by 9 , is divisible 13 , 26 , 39 , 52 and 65 is :	0general
sheela deposits rs . 4500 in bank savings account . if this is 28 % of her monthly income . what is her monthly income in ?	2gain
the difference between the ages of two persons is 10 years . fifteen years ago , the elder one was twice as old as the younger one . the present age of the elder person is ?	0general
two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and 45 % respectively . a candidate scored 216 marks in the second test and failed by 75 marks in that test . find the pass mark in the first test ?	2gain
simplify : 0.4 * 0.5 + 0.3 * 0.2	0general
elena purchased brand x pens for $ 4.00 apiece and brand y for $ 2.80 apiece . if elena purchased a total of 12 of these pens for $ 40.00 , how many brand x pens did she purchase ?	0general
if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 10000 in a long term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of investment 18 years later , when pat is ready for college ?	0general
in a ratio which is equal to 4 : 6 , if the antecedent is 30 , then the consequent is ?	5other
a side of beef lost 35 percent of its weight in processing . if the side of beef weighed 560 pounds after processing , how many pounds did it weigh before processing ?	2gain
49 , 98 , 686 , 1372 . . . .	0general
a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 240 per month . what is his monthly salary ?	0general
a case of 12 rolls of paper towels sells for $ 9 . the cost of one roll sold individually is $ 1 . what is the percent q of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually ?	0general
in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 78 per kg ?	5other
arjun started a business with rs . 20000 and is joined afterwards by anoop with rs . 4000 . after how many months did anoop join if the profits at the end of the year are divided equally ?	0general
the length of a rectangle is increased by 20 % and its breadth is decreased by 20 % . what is the effect on its area ?	3geometry
a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 100,000 and at the same time n is a perfect square and a perfect cube ?	3geometry
what is the sum of the integers from - 90 to 95 , inclusive ?	0general
a sum fetched a total simple interest of rs . 4016.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ?	2gain
a train 110 m long is running with a speed of 40 km / h . in how many seconds will the train pass a man who is running at 4 km / h in the direction opposite to that in which the train is going ?	1physics
vijay sells a cupboard at 16 % below cost price . had he got rs . 1200 more , he would have made a profit of 16 % . what is the cost price of the cupboard ?	2gain
the dimensions of a field are 16.5 m by 10 m . a pit 10 m long , 5.5 m wide and 4 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ?	5other
a class of 35 students has an average height of 180 cm . 7 students whose average height is 120 cm , left the class and 7 others whose average height is 140 cm , joined . calculate the new average height of the students of the class ( in cm ) is ?	0general
convert the 11 / 36 m / s into kilometers per hour ?	1physics
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 800 . how many workers were part of the latter production run ?	0general
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 56 ¢ . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 50 ¢ ?	0general
if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 12 % per annum then the gain of b in a period of 3 years is ?	2gain
think of a number , divide it by 5 and add 10 to it . the result is 21 . what is the number thought of ?	0general
what percent is 5 gm of 1 kg ?	2gain
a sum fetched a total simple interest of 4025.25 at the rate of 9 % . p . a . in 5 years . what is the sum ?	2gain
steve traveled the first 2 hours of his journey at 40 mph and the last 4 hours of his journey at 80 mph . what is his average speed of travel for the entire journey ?	1physics
if each edge of cube increased by 10 % , the percentage increase in	2gain
the average of 6 numbers is 3.9 . the average of two of them is 3.4 , while the average of the other two is 3.85 . what is the average of the remaining two numbers ?	0general
a merchant has selected two items to be placed on sale , one of which currently sells for 30 percent less than the other . if he wishes to raise the price of the cheaper item so that the two items are equally priced , by what percentage must he raise the price of the less expensive item ?	0general
a works twice as fast as b . if b can complete a work in 12 days independently , the number of days in which a and b can together finish the work is :	1physics
p and q started a business investing rs . 25,000 and rs . 20,000 respectively . in what ratio the profit earned after 2 years be divided between p and q respectively ?	2gain
the average weight of a , b and c is 45 kg . if the average weight of a and b be 41 kg and that of b and c be 43 kg , then the weight of b is :	0general
the salary of a worker is first increased by 40 % and afterwards reduced by 40 % . what is the net change in the worker ' s salary ?	2gain
a tank with a volume of 20 cubic feet has one inlet pipe and 2 outlet pipes . the inlet pipe fills water into the tank at the rate of 5 cubic inches / min and the 2 outlet pipes empty it out at the rates of 9 cubic inches / min and 8 cubic inches / min respectively . if all 3 pipes are opened when the tank is full , how many minutes does it take to empty the tank ? ( 1 foot = 12 inches )	1physics
if q = ( x – 5 ) ^ 2 + ( x + 1 ) ^ 2 – 6 , then y is least when x =	0general
what least number should be added to 1024 , so that the sum is completely divisible by 25 ?	0general
a student was asked to find the arithmetic mean of the numbers 3 , 117 , 915 , 138 , 1917 , 2114 and x . he found the mean to be 12 . what should be the remainder in the place of x ?	0general
in an election between the two candidates , the candidates who gets 70 % of votes polled is winned by 200 vote ’ s majority . what is the total number of votes polled ?	2gain
if w is 40 percent less than u , u is 40 percent less than y , and z is 46 percent less than y , then z is greater than w by what percent of w ?	2gain
the salary of a person was reduced by 15 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?	2gain
which of the numbers 1 , 2 , 3 , 4 , or 5 is nearest in value to the sum 2007 / 2999 + 8001 / 5998 + 2001 / 3999 = ?	0general
if jake loses 12 pounds , he will weigh twice as much as his sister . together they now weigh 156 pounds . what is jake ’ s present weight , in pounds ?	0general
during a sale of 20 % on everything in a store , a kid is successful in convincing the store manager to give him 40 candies for the discounted price of 14 candies . the store still makes a profit of 12 % on this sale . what is the mark up percentage on each candy ?	2gain
the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 65 , then how long is the base of isosceles triangle ?	3geometry
the average age of a class of 19 students is 20 years . the average increased by 1 when the teacher ' s age also included . what is the age of the teacher ?	0general
the sum of all the integers d such that - 26 < d < 24 is	0general
there are 9 teams in a certain league and each team plays each of the other teams exactly twice . if each game is played by 2 teams , what is the total number of games played ?	0general
\| x + 1 \| – \| 4 - x \| = \| 8 + x \| how many solutions will this equation have ?	0general
an electric pump can fill a tank in 6 hours . because of a leak in the tank , it took 12 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ?	1physics
m and n are the x and y coordinates , respectively , of a point in the coordinate plane . if the points ( m , n ) and ( m + p , n + 4 ) both lie on the line defined by the equation x = ( y / 2 ) - ( 2 / 5 ) , what is the value of p ?	0general
lilly has 10 fish and rosy has 14 fish . in total , how many fish do they have in all ?	0general
3 years ago , the ratio of ages of p and q was 4 : 3 . 6 years from now , the ratio of their ages will be 7 : 6 . what is p ' s age at present ?	5other
a student scored an average of 55 marks in 3 subjects : physics , chemistry and mathematics . if the average marks in physics and mathematics is 90 and that in physics and chemistry is 70 , what are the marks in physics ?	0general
a school has received 30 % of the amount it needs for a new building by receiving a donation of $ 500 each from people already solicited . people already solicited represent 60 % of the people from whom the school will solicit donations . how much average contribution is requited from the remaining targeted people to complete the fund raising exercise ?	0general
if x / y = 4 and y is not ' 0 ' what % of x is 2 x - y	0general
find the principle on a certain sum of money at 11 % per annum for 2 2 / 5 years if the amount being rs . 1120 ?	0general
a bowl was filled with 10 ounces of water , and 0.006 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?	2gain
a city with a population of 160,080 is to be divided into 8 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district . what is the minimum possible population that the least populated district could have ?	0general
if the average ( arithmetic mean ) of 18 consecutive odd integers is 414 , then the least of these integers is	0general
a number x is multiplied by 7 , 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 if x ≠ 0 ?	0general
in a games hour 4 different types of players came to the ground ? cricket 10 , hokey 12 , football 16 , softball 13 . how many players are present in the ground ?	1physics
calculate 56581 ÷ ? = 137	0general
in 2 bags , there are to be put together 5 red and 12 white balls , neither bag being empty . how must the balls be divided so as to give a person who draws 1 ball from either bag -	0general
sandy leaves her home and walks toward ed ' s house . two hours later , ed leaves his home and walks toward sandy ' s house . the distance between their homes is 52 kilometers , sandy ' s walking speed is 6 km / h , and ed ' s walking speed is 4 km / h . how many kilometers will sandy walk before she meets ed ?	1physics
two bullet train s 140 m and 190 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time ( in seconds ) which they take to cross each other , is :	1physics
a customer purchased a package of ground beef at a cost of $ 1.95 per pound . for the same amount of money , the customer could have purchased a piece of steak that weighed 35 percent less than the package of ground beef . what was the cost per pound of the steak ?	0general
the ratio between the number of sheep and the number of horses at the stewart farm is 4 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ?	5other
there are 8 books on a shelf , of which 2 are paperbacks and 6 are hardbacks . how many possible selections of 3 books from this shelf include at least one paperback ?	4probability
the ratio of the volumes of two cubes is 729 : 343 . what is the ratio of their total surface areas ?	3geometry
the h . c . f . of two numbers is 10 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is :	5other
a man can row upstream at 25 kmph and downstream at 35 kmph , and then find the speed of the man in still water ?	1physics
the product of two positive integers is 1023 and their difference is 2 . what is the bigger number ?	0general
two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 36 seconds . the length of each train is :	0general
if the area of a square with sides of length 12 centimeters is equal to the area of a rectangle with a width of 6 centimeters , what is the length of the rectangle , in centimeters ?	3geometry
the average of first 20 even numbers is ?	0general
the difference between the two numbers is 1 / 3 of the larger number . if the smaller one is 48 the larger one is	0general
at an examination in which full marks were 500 . a got 10 % less than b , b got 25 % more than c and c got 20 % less than d . if a got 360 marks , what percentage of full marks was obtained by d ?	0general
a local restaurant recently renovated its dining space , purchasing new tables and chairs to use in addition to the original tables and chairs . the new tables each seat 6 customers , while the original tables each seat 4 customers . altogether , the restaurant now has 40 tables and is capable of seating 212 customers . how many more new tables than original tables does the restaurant have ?	0general
if the circumference of a circle increases from 4 pi to 8 pi , what change occurs in the area ?	3geometry
a monkey ascends a greased pole 20 metres high . he ascends 2 metres in first minute and slips down 1 metre in the alternate minute . in which minute , he reaches the top ?	1physics
a circle and a rectangle have the same perimeter . the sides of the rectangle are 18 cm and 26 cm . what is the area of the circle ?	3geometry
the sector of a circle has radius of 21 cm and central angle 225 o . find its perimeter ?	1physics
the product of the squares of two positive integers is 400 . how many pairs of positive integers satisfy this condition ?	3geometry
george baked a total of 175 pizzas for 7 straight days , beginning on saturday . he baked 3 / 5 of the pizzas the first day , and 3 / 5 of the remaining pizzas the second day . if each successive day he baked fewer pizzas than the previous day , what is the maximum number of pizzas he could have baked on wednesday ?	0general
n and m are each 3 - digit integers . each of the numbers 2 , 3,4 , 6 , 7 , and 8 is a digit of either n or m . what is the smallest possible positive difference between n and m ?	0general
gary ’ s gas station serves an average of 12 cars per hour on saturdays , 10 cars per hour on sundays , and 9 cars per hour on all other days of the week . if the station is open from 6 a . m . to 10 p . m . every day , how many cars does gary ’ s station serve over the course of a typical week ?	1physics
from the beginning to the end of 2007 , the price of a stock rose 20 percent . in 2008 , it dropped 25 percent . in 2009 , it rose 35 percent . what percent of the stock â € ™ s 2007 starting price was the price of the stock at the end of 2009 ?	2gain
you enter a weight loss challenge game and manage to lose 15 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?	2gain
if the average ( arithmetic mean ) of ( 2 a + 16 ) and ( 3 a - 8 ) is 89 , what is the value of a ?	0general

if m : n is 3 : 9 and n : p is 9 : 12 then m : p is equal to

1physics

the ration of the number of boys and girls in a college is 7 : 8 . if the percentage is increase in the number of boys and girls be 20 % and 10 % respectively . what will be the new ration ?

2gain

a and b can do a piece of work in 50 days and 50 days respectively . they work together for 10 days and b leaves . in how many days the whole work is completed ?

1physics

of all the homes on gotham street , 1 / 3 are termite - ridden , and 2 / 5 of these are collapsing . what fraction of the homes are termite - ridden , but not collapsing ?

0general

how many 3 - digit numerals begin with a digit that represents a odd prime and end with a digit that represents a prime number ?

0general

a certain mixture of nuts consists of 5 parts almonds to 1 parts walnuts , by weight . what is the number of pounds of almonds in 140 pounds of the mixture ?

0general

a certain number of workers can do a work in 45 days . if there were 10 workers more it could be finished in 10 days less . how many workers are there ?

1physics

the smallest number which when diminished by 9 , is divisible 13 , 26 , 39 , 52 and 65 is :

0general

sheela deposits rs . 4500 in bank savings account . if this is 28 % of her monthly income . what is her monthly income in ?

2gain

the difference between the ages of two persons is 10 years . fifteen years ago , the elder one was twice as old as the younger one . the present age of the elder person is ?

0general

two tests had the same maximum mark . the pass percentages in the first and the second test were 40 % and 45 % respectively . a candidate scored 216 marks in the second test and failed by 75 marks in that test . find the pass mark in the first test ?

2gain

simplify : 0.4 * 0.5 + 0.3 * 0.2

0general

elena purchased brand x pens for $ 4.00 apiece and brand y for $ 2.80 apiece . if elena purchased a total of 12 of these pens for $ 40.00 , how many brand x pens did she purchase ?

0general

if money is invested at r percent interest , compounded annually , the amount of investment will double in approximately 70 / r years . if pat ' s parents invested $ 10000 in a long term bond that pays 8 percent interest , compounded annually , what will be the approximate total amount of investment 18 years later , when pat is ready for college ?

0general

in a ratio which is equal to 4 : 6 , if the antecedent is 30 , then the consequent is ?

5other

a side of beef lost 35 percent of its weight in processing . if the side of beef weighed 560 pounds after processing , how many pounds did it weigh before processing ?

2gain

49 , 98 , 686 , 1372 . . . .

0general

a man saves 20 % of his monthly salary . if an account of dearness of things he is to increase his monthly expenses by 20 % , he is only able to save rs . 240 per month . what is his monthly salary ?

0general

a case of 12 rolls of paper towels sells for $ 9 . the cost of one roll sold individually is $ 1 . what is the percent q of savings per roll for the 12 - roll package over the cost of 12 rolls purchased individually ?

0general

in what ratio mental a at rs . 68 per kg be mixed with another metal at rs . 96 per kg so that cost of alloy ( mixture ) is rs . 78 per kg ?

5other

arjun started a business with rs . 20000 and is joined afterwards by anoop with rs . 4000 . after how many months did anoop join if the profits at the end of the year are divided equally ?

0general

the length of a rectangle is increased by 20 % and its breadth is decreased by 20 % . what is the effect on its area ?

3geometry

a perfect square is defined as the square of an integer and a perfect cube is defined as the cube of an integer . how many positive integers n are there such that n is less than 100,000 and at the same time n is a perfect square and a perfect cube ?

3geometry

what is the sum of the integers from - 90 to 95 , inclusive ?

0general

a sum fetched a total simple interest of rs . 4016.25 at the rate of 9 p . c . p . a . in 5 years . what is the sum ?

2gain

a train 110 m long is running with a speed of 40 km / h . in how many seconds will the train pass a man who is running at 4 km / h in the direction opposite to that in which the train is going ?

1physics

vijay sells a cupboard at 16 % below cost price . had he got rs . 1200 more , he would have made a profit of 16 % . what is the cost price of the cupboard ?

2gain

the dimensions of a field are 16.5 m by 10 m . a pit 10 m long , 5.5 m wide and 4 m deep is dug in one corner of the field and the earth removed has been evenly spread over the remaining area of the field . what will be the rise in the height of field as a result of this operation ?

5other

a class of 35 students has an average height of 180 cm . 7 students whose average height is 120 cm , left the class and 7 others whose average height is 140 cm , joined . calculate the new average height of the students of the class ( in cm ) is ?

0general

convert the 11 / 36 m / s into kilometers per hour ?

1physics

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 800 . how many workers were part of the latter production run ?

0general

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 56 ¢ . how many oranges must mary put back so that the average price of the pieces of fruit that she keeps is 50 ¢ ?

0general

if a lends rs . 3500 to b at 10 % per annum and b lends the same sum to c at 12 % per annum then the gain of b in a period of 3 years is ?

2gain

think of a number , divide it by 5 and add 10 to it . the result is 21 . what is the number thought of ?

0general

what percent is 5 gm of 1 kg ?

2gain

a sum fetched a total simple interest of 4025.25 at the rate of 9 % . p . a . in 5 years . what is the sum ?

2gain

steve traveled the first 2 hours of his journey at 40 mph and the last 4 hours of his journey at 80 mph . what is his average speed of travel for the entire journey ?

1physics

if each edge of cube increased by 10 % , the percentage increase in

2gain

the average of 6 numbers is 3.9 . the average of two of them is 3.4 , while the average of the other two is 3.85 . what is the average of the remaining two numbers ?

0general

a merchant has selected two items to be placed on sale , one of which currently sells for 30 percent less than the other . if he wishes to raise the price of the cheaper item so that the two items are equally priced , by what percentage must he raise the price of the less expensive item ?

0general

a works twice as fast as b . if b can complete a work in 12 days independently , the number of days in which a and b can together finish the work is :

1physics

p and q started a business investing rs . 25,000 and rs . 20,000 respectively . in what ratio the profit earned after 2 years be divided between p and q respectively ?

2gain

the average weight of a , b and c is 45 kg . if the average weight of a and b be 41 kg and that of b and c be 43 kg , then the weight of b is :

0general

the salary of a worker is first increased by 40 % and afterwards reduced by 40 % . what is the net change in the worker ' s salary ?

2gain

a tank with a volume of 20 cubic feet has one inlet pipe and 2 outlet pipes . the inlet pipe fills water into the tank at the rate of 5 cubic inches / min and the 2 outlet pipes empty it out at the rates of 9 cubic inches / min and 8 cubic inches / min respectively . if all 3 pipes are opened when the tank is full , how many minutes does it take to empty the tank ? ( 1 foot = 12 inches )

1physics

if q = ( x – 5 ) ^ 2 + ( x + 1 ) ^ 2 – 6 , then y is least when x =

0general

what least number should be added to 1024 , so that the sum is completely divisible by 25 ?

0general

a student was asked to find the arithmetic mean of the numbers 3 , 117 , 915 , 138 , 1917 , 2114 and x . he found the mean to be 12 . what should be the remainder in the place of x ?

0general

in an election between the two candidates , the candidates who gets 70 % of votes polled is winned by 200 vote ’ s majority . what is the total number of votes polled ?

2gain

if w is 40 percent less than u , u is 40 percent less than y , and z is 46 percent less than y , then z is greater than w by what percent of w ?

2gain

the salary of a person was reduced by 15 % . by what percent should his reduced salary be raised so as to bring it at par with his original salary ?

2gain

which of the numbers 1 , 2 , 3 , 4 , or 5 is nearest in value to the sum 2007 / 2999 + 8001 / 5998 + 2001 / 3999 = ?

0general

if jake loses 12 pounds , he will weigh twice as much as his sister . together they now weigh 156 pounds . what is jake ’ s present weight , in pounds ?

0general

during a sale of 20 % on everything in a store , a kid is successful in convincing the store manager to give him 40 candies for the discounted price of 14 candies . the store still makes a profit of 12 % on this sale . what is the mark up percentage on each candy ?

2gain

the perimeter of an equilateral triangle is 60 . if one of the sides of the equilateral triangle is the side of an isosceles triangle of perimeter 65 , then how long is the base of isosceles triangle ?

3geometry

the average age of a class of 19 students is 20 years . the average increased by 1 when the teacher ' s age also included . what is the age of the teacher ?

0general

the sum of all the integers d such that - 26 < d < 24 is

0general

there are 9 teams in a certain league and each team plays each of the other teams exactly twice . if each game is played by 2 teams , what is the total number of games played ?

0general

| x + 1 | – | 4 - x | = | 8 + x | how many solutions will this equation have ?

0general

an electric pump can fill a tank in 6 hours . because of a leak in the tank , it took 12 hours to fill the tank . if the tank is full , how much time will the leak take to empty it ?

1physics

m and n are the x and y coordinates , respectively , of a point in the coordinate plane . if the points ( m , n ) and ( m + p , n + 4 ) both lie on the line defined by the equation x = ( y / 2 ) - ( 2 / 5 ) , what is the value of p ?

0general

lilly has 10 fish and rosy has 14 fish . in total , how many fish do they have in all ?

0general

3 years ago , the ratio of ages of p and q was 4 : 3 . 6 years from now , the ratio of their ages will be 7 : 6 . what is p ' s age at present ?

5other

a student scored an average of 55 marks in 3 subjects : physics , chemistry and mathematics . if the average marks in physics and mathematics is 90 and that in physics and chemistry is 70 , what are the marks in physics ?

0general

a school has received 30 % of the amount it needs for a new building by receiving a donation of $ 500 each from people already solicited . people already solicited represent 60 % of the people from whom the school will solicit donations . how much average contribution is requited from the remaining targeted people to complete the fund raising exercise ?

0general

if x / y = 4 and y is not ' 0 ' what % of x is 2 x - y

0general

find the principle on a certain sum of money at 11 % per annum for 2 2 / 5 years if the amount being rs . 1120 ?

0general

a bowl was filled with 10 ounces of water , and 0.006 ounce of the water evaporated each day during a 50 - day period . what percent of the original amount of water evaporated during this period ?

2gain

a city with a population of 160,080 is to be divided into 8 voting districts , and no district is to have a population that is more than 10 percent greater than the population of any other district . what is the minimum possible population that the least populated district could have ?

0general

if the average ( arithmetic mean ) of 18 consecutive odd integers is 414 , then the least of these integers is

0general

a number x is multiplied by 7 , 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 if x ≠ 0 ?

0general

in a games hour 4 different types of players came to the ground ? cricket 10 , hokey 12 , football 16 , softball 13 . how many players are present in the ground ?

1physics

calculate 56581 ÷ ? = 137

0general

in 2 bags , there are to be put together 5 red and 12 white balls , neither bag being empty . how must the balls be divided so as to give a person who draws 1 ball from either bag -

0general

sandy leaves her home and walks toward ed ' s house . two hours later , ed leaves his home and walks toward sandy ' s house . the distance between their homes is 52 kilometers , sandy ' s walking speed is 6 km / h , and ed ' s walking speed is 4 km / h . how many kilometers will sandy walk before she meets ed ?

1physics

two bullet train s 140 m and 190 m long run at the speed of 60 km / hr and 40 km / hr respectively in opposite directions on parallel tracks . the time ( in seconds ) which they take to cross each other , is :

1physics

a customer purchased a package of ground beef at a cost of $ 1.95 per pound . for the same amount of money , the customer could have purchased a piece of steak that weighed 35 percent less than the package of ground beef . what was the cost per pound of the steak ?

0general

the ratio between the number of sheep and the number of horses at the stewart farm is 4 to 7 , if each horse is fed 230 ounces of horse food per day and the farm needs a total 12,880 ounces of horse food per day , what is the number of sheep in the farm ?

5other

there are 8 books on a shelf , of which 2 are paperbacks and 6 are hardbacks . how many possible selections of 3 books from this shelf include at least one paperback ?

4probability

the ratio of the volumes of two cubes is 729 : 343 . what is the ratio of their total surface areas ?

3geometry

the h . c . f . of two numbers is 10 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is :

5other

a man can row upstream at 25 kmph and downstream at 35 kmph , and then find the speed of the man in still water ?

1physics

the product of two positive integers is 1023 and their difference is 2 . what is the bigger number ?

0general

two trains of equal length are running on parallel lines in the same direction at 46 km / hr and 36 km / hr . the faster train passes the slower train in 36 seconds . the length of each train is :

0general

if the area of a square with sides of length 12 centimeters is equal to the area of a rectangle with a width of 6 centimeters , what is the length of the rectangle , in centimeters ?

3geometry

the average of first 20 even numbers is ?

0general

the difference between the two numbers is 1 / 3 of the larger number . if the smaller one is 48 the larger one is

0general

at an examination in which full marks were 500 . a got 10 % less than b , b got 25 % more than c and c got 20 % less than d . if a got 360 marks , what percentage of full marks was obtained by d ?

0general

a local restaurant recently renovated its dining space , purchasing new tables and chairs to use in addition to the original tables and chairs . the new tables each seat 6 customers , while the original tables each seat 4 customers . altogether , the restaurant now has 40 tables and is capable of seating 212 customers . how many more new tables than original tables does the restaurant have ?

0general

if the circumference of a circle increases from 4 pi to 8 pi , what change occurs in the area ?

3geometry

a monkey ascends a greased pole 20 metres high . he ascends 2 metres in first minute and slips down 1 metre in the alternate minute . in which minute , he reaches the top ?

1physics

a circle and a rectangle have the same perimeter . the sides of the rectangle are 18 cm and 26 cm . what is the area of the circle ?

3geometry

the sector of a circle has radius of 21 cm and central angle 225 o . find its perimeter ?

1physics

the product of the squares of two positive integers is 400 . how many pairs of positive integers satisfy this condition ?

3geometry

george baked a total of 175 pizzas for 7 straight days , beginning on saturday . he baked 3 / 5 of the pizzas the first day , and 3 / 5 of the remaining pizzas the second day . if each successive day he baked fewer pizzas than the previous day , what is the maximum number of pizzas he could have baked on wednesday ?

0general

n and m are each 3 - digit integers . each of the numbers 2 , 3,4 , 6 , 7 , and 8 is a digit of either n or m . what is the smallest possible positive difference between n and m ?

0general

gary ’ s gas station serves an average of 12 cars per hour on saturdays , 10 cars per hour on sundays , and 9 cars per hour on all other days of the week . if the station is open from 6 a . m . to 10 p . m . every day , how many cars does gary ’ s station serve over the course of a typical week ?

1physics

from the beginning to the end of 2007 , the price of a stock rose 20 percent . in 2008 , it dropped 25 percent . in 2009 , it rose 35 percent . what percent of the stock â € ™ s 2007 starting price was the price of the stock at the end of 2009 ?

2gain

you enter a weight loss challenge game and manage to lose 15 % of your body weight . for the final weigh in you are forced to wear clothes that add 2 % to your weight . what percentage of weight loss is measured at the final weigh in ?

2gain

if the average ( arithmetic mean ) of ( 2 a + 16 ) and ( 3 a - 8 ) is 89 , what is the value of a ?

0general