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

Problem stringlengths 5 967	category class label 6 classes
the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 43 kg , then the weight of b is ?	0general
what is the units digit of 17 ^ 83 × 13 ^ 82 × 11 ^ 83 ?	0general
400 students took a mock exam in delhi , 60 % of the boys and 80 % of the girls cleared the cut off in the examination . if the total percentage of students qualifying is 65 % , how many girls appeared in the examination ?	0general
what is the greater of the two numbers whose product is 2688 , given that the sum of the two numbers exceeds their difference by 64 ?	0general
the proportion of copper and zinc in the brass is 3 : 7 . how much zinc will there be in 100 kg of brass ?	0general
a contractor undertakes to do a job within 100 days and hires 10 people to do it . after 20 days , he realizes that one fourth of the work is done so he fires 2 people . in how many more days q will the work get over ?	1physics
find the value of c from ( 8 ) ^ 3 x 9 ^ 3 ã · 679 = c .	0general
a man has $ 10,000 to invest . he invests $ 4000 at 5 % and $ 3500 at 4 % . in order to have a yearly income of $ 500 , he must invest the remainder at	2gain
a train speeds past a pole in 11 seconds and a platform 120 m long in 22 seconds . its length is ?	1physics
a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 180 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ?	0general
the banker â € ™ s gain on a sum due 3 years hence at 12 % per annum is rs . 90 . the banker â € ™ s discount is	2gain
in the quadratic equation x 2 - bx + 20 = 0 , if the product of two roots is 20 , what is the sum of the two roots ?	0general
a carpenter worked alone for 1 day on a job that would take him 7 more days to finish . he and another carpenter completed the job in 4 more days . how many days would it have taken the second carpenter to do the complete job working alone ?	1physics
in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 55 % of all the employees are men . what % of all the employee went to the picnic ?	2gain
fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 7 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 18 percent , what is the discount rate on pony jeans ?	2gain
how many of the positive factors of 42 are not factors of 56 ?	5other
if taxi fares were $ 10.00 for the first 1 / 5 mile and $ 1.00 for each 1 / 5 mile there after , then the taxi fare for a 10 - mile ride was	0general
two cubes of tire sides ratio 2 : 3 . find its cube volumes ratio ?	3geometry
the market value of a 10.5 % stock , in which an income of rs . 756 is derived by investing rs . 7000 , brokerage being 1 / 4 % , is :	2gain
a alone can do a piece of work in 6 days and b alone in 8 days . a and b undertook to do it for rs . 3600 . with the help of c , they completed the work in 3 days . how much is to be paid to c ?	1physics
in town x , 60 percent of the population are employed , and 15 percent of the population are employed males . what percent of the employed people in town x are females ?	2gain
according to a recent student poll , 5 / 6 out of 30 members of the finance club are interested in a career in investment banking . if two students are chosen at random , what is the probability that at least one of them is interested in investment banking ?	2gain
for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 80 ?	0general
three cubes of metal whose edges are 5 , 12 and 15 cm respectively , are melted and one new cube is made . find the edge of the new cube ?	1physics
a rectangular pig farm has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 1250 square feet , what is the total length of the fence , in feet ?	3geometry
the ratio of pens to pencils is 5 to 6 . there are 6 more pencils than pens . how many pencils are there ?	5other
there is a clock which shows false timing ie it shows 10 minutes less for each 1 hour . . . . if the clock shows 12 noon now how many minutes will be lost when it shows 3 pm ?	1physics
in a box of 7 pencils , a total of 2 are defective . if a customer buys 3 pencils selected at random from the box , what is the probability that neither pencils will be defective ?	0general
the mean of 50 observations was 36 . it was found later that an observation 90 was wrongly taken as 23 . the corrected new mean is ?	0general
how many kilograms of pure water is to be added to 100 kilograms of a 30 % saline solution to make it a 10 % saline solution .	5other
there is a escalator and 2 persons move down it . a takes 50 steps and b takes 75 steps while the escalator is moving down . given that the time taken by a to take 1 step is equal to time taken by b to take 3 steps . find the no . of steps in the escalator while it is staionary ?	0general
at what price must an article costing rs . 57 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?	2gain
if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.20 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was	0general
if 3 ^ x * 4 ^ y = 59,049 and x – y = 10 , then x = ?	0general
a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 18 seconds . what is the length of the train in meters ?	1physics
from january 1 , 2015 , to january 1 , 2017 , the number of people enrolled in health maintenance organizations increased by 11 percent . the enrollment on january 1 , 2017 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 2015 ?	2gain
when you multiply a number by 4 and then subtract 3 , the result is the same as if you first subtracted 7 from the same number and then multiplied by 9 . what is the number ?	0general
a man can row his boat with the stream at 25 km / h and against the stream in 13 km / h . the man ' s rate is ?	2gain
an alloy of zinc and copper contains the metals in the ratio 5 : 3 . the quantity of zinc to be added to 6 kg of the alloy so that the ratio of the metal may be 3 : 1 is :	5other
what is the cp of rs 100 stock at 5 discount , with 1 / 5 % brokerage ?	2gain
a monkey start climbing up a tree 21 ft tall . each hour it hops 3 ft and slips back 2 ft . how much time would it take the monkey to reach the top .	1physics
john makes $ 50 a week from his job . he earns a raise andnow makes $ 75 a week . what is the % increase ?	2gain
every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 6400 ?	0general
oil cans x and y are right circular cylinders and the height and radius of y are each thrice those of x . if the oil in can x filled to capacity sells for $ 4 , how much does the oil in y sell for if y is only 1 / 3 rd filled ?	0general
an alloy weighing 60 ounces is 20 percent copper . how many ounces of copper must be added to create an alloy that is 60 percent copper ?	2gain
by selling 16 pens for a rupee a woman loses 5 % . how many for a rupee should he sell in order to gain 18 % ?	2gain
a and b complete a work in 30 days . a alone can do it in 40 days . if both together can do the work in how many days ?	1physics
an art gallery has only paintings and sculptures . currently , 1 / 3 of the pieces of art are displayed , and 1 / 6 of the pieces on display are sculptures . if 1 / 3 of the pieces not on display are paintings , and 1200 sculptures are not on display , how many pieces of art does the gallery have ?	0general
a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 12600 after a year ?	2gain
if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.45 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was	0general
a and b together can do a work in 3 days . a alone can do it in 12 days . what time b will take to do the work alone ?	1physics
the distance from city a to city b is 180 miles . while driving from city a to city b , cara drives at a constant speed of 30 miles per hour . dan leaves city a 120 minutes after cara . what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ?	1physics
of the 600 residents of clermontville , 35 % watch the television show island survival , 40 % watch lovelost lawyers and 50 % watch medical emergency . if all residents watch at least one of these 3 shows and 18 % watch exactly 2 of these shows , then how many clermontville residents c watch all of the shows ?	2gain
find the lowest positive integer that can be divided by all the even numbers between 14 and 21 .	0general
by combining number of small cubes , a larger cube is produced . the ratio between volume of larger cube and small cube is 1000 : 8 then how many small cubes are required to produce a larger cube ?	3geometry
jacob is now 12 years younger than michael . if 3 years from now michael will be twice as old as jacob , how old will jacob be in 4 years ?	0general
the area of a triangle will be when a = 2 m , b = 5 m , c = 7 m , a , b , c being lengths of respective sides ?	3geometry
in a certain circle there are 10 points . what is the number of the triangles connecting 2 points of the 10 points ?	3geometry
the length of the bridge , which a train 140 m long and traveling at 45 km / hr can cross in 30 sec is ?	1physics
a 8000 liter tank , half - full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes . at the same time , the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes . how many minutes does it take to fill the tank completely ?	1physics
julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest . after two years she earned $ 120 and $ 124 from the simple interest account and the compound interest account respectively . if the interest rates for both accounts were the same , what was the amount of julie ' s initial savings ?	2gain
abcd is a square where ab = â ˆ š 6000 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd .	3geometry
mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8410 / - . find out the amount that he borrowed .	2gain
the perimeter of a semi circle is 108 cm then the radius is ?	1physics
the length of a rectangle is one - sixth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1296 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ?	3geometry
the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 13 and 35 inclusive .	0general
the function f ( n ) is defined as the product of all the consecutive positive integers between 4 and n ^ 2 , inclusive , whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n , inclusive . the exponent on 2 in the prime factorization of f ( 3 ) / g ( 3 ) is	0general
in a shower , 5 cm of rain falls . the volume of water that falls on 1.5 hectares of ground is :	1physics
for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 200 ?	0general
in the first 10 overs of a cricket game , the run rate was only 2.1 . what should be the rate in the remaining 30 overs to reach the target of 282 runs ?	2gain
5216 x 51 = ?	0general
a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 70 % of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ?	0general
a car takes 6 hours to cover a distance of 720 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?	1physics
by selling 15 pencils for a rupee a man loses 15 % . how many for a rupee should he sell in order to gain 15 % ?	2gain
the consumption of diesel per hour of a bus varies directly as square of its speed . when the bus is travelling at 50 kmph its consumption is 1 litre per hour . if each litre costs $ 50 and other expenses per hous is $ 50 , then what would be the minimum expenditure required to cover a distance of 500 km ?	1physics
a man can row at 5 kmph in still water . if the velocity of current is 2 kmph and it takes him 1 hour to row to a place and come back , how far is the place ?	1physics
a number is said to be prime saturated if the product of all the different positive prime factors of r is less than the square root of r . what is the greatest two digit prime saturated integer ?	5other
a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 24 inches . find b .	3geometry
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 $ 7000 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
a , b and c completed a piece of work , a worked for 6 days , b for 9 days and c for 4 days . their daily wages were in the ratio of 3 : 4 : 5 . find the daily wages of c , if their total earning was rs . 1480 ?	1physics
if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of m + 2 n ?	0general
if the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ?	3geometry
what is the average ( arithmetic mean ) of the numbers 21 , 22 , 23 , 23 , 24 , and 25 ?	0general
the average age of 28 students in a group is 16 years . when teacher â € ™ s age is included to it , the average increases by one . what is the teacher â € ™ s age in years ?	0general
a and b are two stations 390 km apart . a train starts from a at 10 a . m . and travels towards b at 65 kmph . another train starts from b at 11 a . m . and travels towards a at 35 kmph . at what time do they meet ?	1physics
in a group of cows and chickens , the number of legs was 16 more than twice the number of heads . the number of cows was :	0general
a is a working partner and b is a sleeping partner in the business . a puts in rs . 5000 and b rs . 1000 , a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals . out of a total profit of rs . 9600 , money received by a is ?	2gain
how much 90 % of 40 is greater than 80 % of 30 ?	2gain
an auction house charges a commission of 20 % on the first $ 50,000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ?	0general
in a mixture of 45 litres the ratio of milk to water is 4 : 1 . additional 3 litres of water is added to the mixture . find the ratio of milk to water in the resulting mixture .	0general
the compound interest earned by sunil on a certain amount at the end of two years at the rate of 8 % p . a . was rs . 2828.80 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned ?	2gain
a man took loan from a bank at the rate of 13 % p . a . s . i . after 3 years he had to pay rs . 5400 interest only for the period . the principal amount borrowed by him was ?	2gain
a sum amounts to rs . 4410 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ?	2gain
a man can row downstream at 18 kmph and upstream at 8 kmph . find the speed of the man in still water and the speed of stream respectively ?	1physics
the compound ratio of 2 / 3 , 6 / 7 , 1 / 5 and 1 / 8 is given by ?	5other
how many of the positive factors of 14 are not factors of 21 ?	5other
how much water must be added to 60 litres of milk at 1.5 litres for rs . 20 so as to have a mixture worth rs . 32 / 3 a litre ?	0general
a cricket bat is sold for $ 850 , making a profit of $ 255 . the profit percentage would be	2gain
a car covers a distance of 624 km in 2 3 / 5 hours . find its speed ?	1physics
three walls have wallpaper covering a combined area of 300 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 30 square meters . what is the area that is covered with three layers of wallpaper ?	3geometry

the average weight of a , b and c is 45 kg . if the average weight of a and b be 40 kg and that of b and c be 43 kg , then the weight of b is ?

0general

what is the units digit of 17 ^ 83 × 13 ^ 82 × 11 ^ 83 ?

0general

400 students took a mock exam in delhi , 60 % of the boys and 80 % of the girls cleared the cut off in the examination . if the total percentage of students qualifying is 65 % , how many girls appeared in the examination ?

0general

what is the greater of the two numbers whose product is 2688 , given that the sum of the two numbers exceeds their difference by 64 ?

0general

the proportion of copper and zinc in the brass is 3 : 7 . how much zinc will there be in 100 kg of brass ?

0general

a contractor undertakes to do a job within 100 days and hires 10 people to do it . after 20 days , he realizes that one fourth of the work is done so he fires 2 people . in how many more days q will the work get over ?

1physics

find the value of c from ( 8 ) ^ 3 x 9 ^ 3 ã · 679 = c .

0general

a man has $ 10,000 to invest . he invests $ 4000 at 5 % and $ 3500 at 4 % . in order to have a yearly income of $ 500 , he must invest the remainder at

2gain

a train speeds past a pole in 11 seconds and a platform 120 m long in 22 seconds . its length is ?

1physics

a farmer has an apple orchard consisting of fuji and gala apple trees . due to high winds this year 10 % of his trees cross pollinated . the number of his trees that are pure fuji plus the cross - pollinated ones totals 180 , while 3 / 4 of all his trees are pure fuji . how many of his trees are pure gala ?

0general

the banker â € ™ s gain on a sum due 3 years hence at 12 % per annum is rs . 90 . the banker â € ™ s discount is

2gain

in the quadratic equation x 2 - bx + 20 = 0 , if the product of two roots is 20 , what is the sum of the two roots ?

0general

a carpenter worked alone for 1 day on a job that would take him 7 more days to finish . he and another carpenter completed the job in 4 more days . how many days would it have taken the second carpenter to do the complete job working alone ?

1physics

in a certain company 20 % of the men and 40 % of the women attended the annual company picnic . if 55 % of all the employees are men . what % of all the employee went to the picnic ?

2gain

fox jeans regularly sell for $ 15 a pair and pony jeans regularly sell for $ 18 a pair . during a sale these regular unit prices are discounted at different rates so that a total of $ 7 is saved by purchasing 5 pairs of jeans : 3 pairs of fox jeans and 2 pairs of pony jeans . if the sum of the two discounts rates is 18 percent , what is the discount rate on pony jeans ?

2gain

how many of the positive factors of 42 are not factors of 56 ?

5other

if taxi fares were $ 10.00 for the first 1 / 5 mile and $ 1.00 for each 1 / 5 mile there after , then the taxi fare for a 10 - mile ride was

0general

two cubes of tire sides ratio 2 : 3 . find its cube volumes ratio ?

3geometry

the market value of a 10.5 % stock , in which an income of rs . 756 is derived by investing rs . 7000 , brokerage being 1 / 4 % , is :

2gain

a alone can do a piece of work in 6 days and b alone in 8 days . a and b undertook to do it for rs . 3600 . with the help of c , they completed the work in 3 days . how much is to be paid to c ?

1physics

in town x , 60 percent of the population are employed , and 15 percent of the population are employed males . what percent of the employed people in town x are females ?

2gain

according to a recent student poll , 5 / 6 out of 30 members of the finance club are interested in a career in investment banking . if two students are chosen at random , what is the probability that at least one of them is interested in investment banking ?

2gain

for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 80 ?

0general

three cubes of metal whose edges are 5 , 12 and 15 cm respectively , are melted and one new cube is made . find the edge of the new cube ?

1physics

a rectangular pig farm has a fence along three sides and a wall along the fourth side . the fenced side opposite the wall is twice the length of each of the other two fenced sides . if the area of the rectangular region is 1250 square feet , what is the total length of the fence , in feet ?

3geometry

the ratio of pens to pencils is 5 to 6 . there are 6 more pencils than pens . how many pencils are there ?

5other

there is a clock which shows false timing ie it shows 10 minutes less for each 1 hour . . . . if the clock shows 12 noon now how many minutes will be lost when it shows 3 pm ?

1physics

in a box of 7 pencils , a total of 2 are defective . if a customer buys 3 pencils selected at random from the box , what is the probability that neither pencils will be defective ?

0general

the mean of 50 observations was 36 . it was found later that an observation 90 was wrongly taken as 23 . the corrected new mean is ?

0general

how many kilograms of pure water is to be added to 100 kilograms of a 30 % saline solution to make it a 10 % saline solution .

5other

there is a escalator and 2 persons move down it . a takes 50 steps and b takes 75 steps while the escalator is moving down . given that the time taken by a to take 1 step is equal to time taken by b to take 3 steps . find the no . of steps in the escalator while it is staionary ?

0general

at what price must an article costing rs . 57 be marked in order that after deducting 5 % from the list price . it may be sold at a profit of 25 % on the cost price ?

2gain

if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.20 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was

0general

if 3 ^ x * 4 ^ y = 59,049 and x – y = 10 , then x = ?

0general

a train traveling at 100 kmph overtakes a motorbike traveling at 64 kmph in 18 seconds . what is the length of the train in meters ?

1physics

from january 1 , 2015 , to january 1 , 2017 , the number of people enrolled in health maintenance organizations increased by 11 percent . the enrollment on january 1 , 2017 , was 45 million . how many million people , to the nearest million , were enrolled in health maintenance organizations on january 1 , 2015 ?

2gain

when you multiply a number by 4 and then subtract 3 , the result is the same as if you first subtracted 7 from the same number and then multiplied by 9 . what is the number ?

0general

a man can row his boat with the stream at 25 km / h and against the stream in 13 km / h . the man ' s rate is ?

2gain

an alloy of zinc and copper contains the metals in the ratio 5 : 3 . the quantity of zinc to be added to 6 kg of the alloy so that the ratio of the metal may be 3 : 1 is :

5other

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

2gain

a monkey start climbing up a tree 21 ft tall . each hour it hops 3 ft and slips back 2 ft . how much time would it take the monkey to reach the top .

1physics

john makes $ 50 a week from his job . he earns a raise andnow makes $ 75 a week . what is the % increase ?

2gain

every year an amount increases by 1 / 8 th of itself . how much will it be after two years if its present value is rs . 6400 ?

0general

oil cans x and y are right circular cylinders and the height and radius of y are each thrice those of x . if the oil in can x filled to capacity sells for $ 4 , how much does the oil in y sell for if y is only 1 / 3 rd filled ?

0general

an alloy weighing 60 ounces is 20 percent copper . how many ounces of copper must be added to create an alloy that is 60 percent copper ?

2gain

by selling 16 pens for a rupee a woman loses 5 % . how many for a rupee should he sell in order to gain 18 % ?

2gain

a and b complete a work in 30 days . a alone can do it in 40 days . if both together can do the work in how many days ?

1physics

an art gallery has only paintings and sculptures . currently , 1 / 3 of the pieces of art are displayed , and 1 / 6 of the pieces on display are sculptures . if 1 / 3 of the pieces not on display are paintings , and 1200 sculptures are not on display , how many pieces of art does the gallery have ?

0general

a , b and c invested rs . 6300 , rs . 4200 and rs . 10500 respectively , in a partnership business . find the share of a in profit of rs . 12600 after a year ?

2gain

if taxi fares were $ 1.00 for the first 1 / 5 mile and $ 0.45 for each 1 / 5 mile there after , then the taxi fare for a 3 - mile ride was

0general

a and b together can do a work in 3 days . a alone can do it in 12 days . what time b will take to do the work alone ?

1physics

the distance from city a to city b is 180 miles . while driving from city a to city b , cara drives at a constant speed of 30 miles per hour . dan leaves city a 120 minutes after cara . what is the minimum constant speed in miles per hour that dan must exceed in order to arrive in city b before cara ?

1physics

of the 600 residents of clermontville , 35 % watch the television show island survival , 40 % watch lovelost lawyers and 50 % watch medical emergency . if all residents watch at least one of these 3 shows and 18 % watch exactly 2 of these shows , then how many clermontville residents c watch all of the shows ?

2gain

find the lowest positive integer that can be divided by all the even numbers between 14 and 21 .

0general

by combining number of small cubes , a larger cube is produced . the ratio between volume of larger cube and small cube is 1000 : 8 then how many small cubes are required to produce a larger cube ?

3geometry

jacob is now 12 years younger than michael . if 3 years from now michael will be twice as old as jacob , how old will jacob be in 4 years ?

0general

the area of a triangle will be when a = 2 m , b = 5 m , c = 7 m , a , b , c being lengths of respective sides ?

3geometry

in a certain circle there are 10 points . what is the number of the triangles connecting 2 points of the 10 points ?

3geometry

the length of the bridge , which a train 140 m long and traveling at 45 km / hr can cross in 30 sec is ?

1physics

a 8000 liter tank , half - full of water is being filled from a pipe with a flow rate of 1 kiloliter every 2 minutes . at the same time , the tank is losing water from two drains at a rate of 1 kiloliter every 4 minutes and every 6 minutes . how many minutes does it take to fill the tank completely ?

1physics

julie put half of her savings in a savings account that pays an annual simple interest and half in a savings account that pays an annual compound interest . after two years she earned $ 120 and $ 124 from the simple interest account and the compound interest account respectively . if the interest rates for both accounts were the same , what was the amount of julie ' s initial savings ?

2gain

abcd is a square where ab = â ˆ š 6000 . let x be a point on ab and y be a point on cd such that ax = cy . compute the area of trapezoid axyd .

3geometry

mr . karan borrowed a certain amount at 6 % per annum simple interest for 9 years . after 9 years , he returned rs . 8410 / - . find out the amount that he borrowed .

2gain

the perimeter of a semi circle is 108 cm then the radius is ?

1physics

the length of a rectangle is one - sixth of the radius of a circle . the radius of the circle is equal to the side of the square , whose area is 1296 sq . units . what is the area ( in sq . units ) of the rectangle if the rectangle if the breadth is 10 units ?

3geometry

the sum of first n consecutive odd integers is n ^ 2 . what is the sum of all odd integers between 13 and 35 inclusive .

0general

the function f ( n ) is defined as the product of all the consecutive positive integers between 4 and n ^ 2 , inclusive , whereas the function g ( n ) is defined as the product of the squares of all the consecutive positive integers between 1 and n , inclusive . the exponent on 2 in the prime factorization of f ( 3 ) / g ( 3 ) is

0general

in a shower , 5 cm of rain falls . the volume of water that falls on 1.5 hectares of ground is :

1physics

for how many integer values of n will the value of the expression 4 n + 7 be an integer greater than 1 and less than 200 ?

0general

in the first 10 overs of a cricket game , the run rate was only 2.1 . what should be the rate in the remaining 30 overs to reach the target of 282 runs ?

2gain

5216 x 51 = ?

0general

a small pool filled only with water will require an additional 300 gallons of water in order to be filled to 70 % of its capacity . if pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30 % , what is the total capacity of the pool in gallons ?

0general

a car takes 6 hours to cover a distance of 720 km . how much should the speed in kmph be maintained to cover the same direction in 3 / 2 th of the previous time ?

1physics

by selling 15 pencils for a rupee a man loses 15 % . how many for a rupee should he sell in order to gain 15 % ?

2gain

the consumption of diesel per hour of a bus varies directly as square of its speed . when the bus is travelling at 50 kmph its consumption is 1 litre per hour . if each litre costs $ 50 and other expenses per hous is $ 50 , then what would be the minimum expenditure required to cover a distance of 500 km ?

1physics

a man can row at 5 kmph in still water . if the velocity of current is 2 kmph and it takes him 1 hour to row to a place and come back , how far is the place ?

1physics

a number is said to be prime saturated if the product of all the different positive prime factors of r is less than the square root of r . what is the greatest two digit prime saturated integer ?

5other

a small table has a length of 12 inches and a breadth of b inches . cubes are placed on the surface of the table so as to cover the entire surface . the maximum side of such cubes is found to be 4 inches . also , a few such tables are arranged to form a square . the minimum length of side possible for such a square is 24 inches . find b .

3geometry

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 $ 7000 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

a , b and c completed a piece of work , a worked for 6 days , b for 9 days and c for 4 days . their daily wages were in the ratio of 3 : 4 : 5 . find the daily wages of c , if their total earning was rs . 1480 ?

1physics

if 5400 mn = k ^ 4 , where m , n , and k are positive integers , what is the least possible value of m + 2 n ?

0general

if the area of a square with sides of length 4 centimeters is equal to the area of a rectangle with a width of 4 centimeters , what is the length of the rectangle , in centimeters ?

3geometry

what is the average ( arithmetic mean ) of the numbers 21 , 22 , 23 , 23 , 24 , and 25 ?

0general

the average age of 28 students in a group is 16 years . when teacher â € ™ s age is included to it , the average increases by one . what is the teacher â € ™ s age in years ?

0general

a and b are two stations 390 km apart . a train starts from a at 10 a . m . and travels towards b at 65 kmph . another train starts from b at 11 a . m . and travels towards a at 35 kmph . at what time do they meet ?

1physics

in a group of cows and chickens , the number of legs was 16 more than twice the number of heads . the number of cows was :

0general

a is a working partner and b is a sleeping partner in the business . a puts in rs . 5000 and b rs . 1000 , a receives 10 % of the profit for managing the business the rest being divided in proportion of their capitals . out of a total profit of rs . 9600 , money received by a is ?

2gain

how much 90 % of 40 is greater than 80 % of 30 ?

2gain

an auction house charges a commission of 20 % on the first $ 50,000 of the sale price of an item , plus 10 % on the amount of of the sale price in excess of $ 50,000 . what was the price of a painting for which the house charged a total commission of $ 24,000 ?

0general

in a mixture of 45 litres the ratio of milk to water is 4 : 1 . additional 3 litres of water is added to the mixture . find the ratio of milk to water in the resulting mixture .

0general

the compound interest earned by sunil on a certain amount at the end of two years at the rate of 8 % p . a . was rs . 2828.80 . find the total amount that sunil got back at the end of two years in the form of principal plus interest earned ?

2gain

a man took loan from a bank at the rate of 13 % p . a . s . i . after 3 years he had to pay rs . 5400 interest only for the period . the principal amount borrowed by him was ?

2gain

a sum amounts to rs . 4410 in 2 years at the rate of 5 % p . a . if interest was compounded yearly then what was the principal ?

2gain

a man can row downstream at 18 kmph and upstream at 8 kmph . find the speed of the man in still water and the speed of stream respectively ?

1physics

the compound ratio of 2 / 3 , 6 / 7 , 1 / 5 and 1 / 8 is given by ?

5other

how many of the positive factors of 14 are not factors of 21 ?

5other

how much water must be added to 60 litres of milk at 1.5 litres for rs . 20 so as to have a mixture worth rs . 32 / 3 a litre ?

0general

a cricket bat is sold for $ 850 , making a profit of $ 255 . the profit percentage would be

2gain

a car covers a distance of 624 km in 2 3 / 5 hours . find its speed ?

1physics

three walls have wallpaper covering a combined area of 300 square meters . by overlapping the wallpaper to cover a wall with an area of 180 square meters , the area that is covered by exactly two layers of wallpaper is 30 square meters . what is the area that is covered with three layers of wallpaper ?

3geometry