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

Problem stringlengths 5 967	category class label 6 classes
dames school has 2000 boys and 5000 girls . what is the percentage increase from boys to total attendance and girls to total attendance ?	0general
a man swims downstream 76 km and upstream 48 km taking 4 hours each time ; what is the speed of the current ?	1physics
the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 16000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is	0general
n = 1 / 3 + 1 / 4 what is the value of n ?	0general
how many even multiples of 55 are there between 549 and 1101 ?	0general
sum of two numbers prime to each other is 15 and their l . c . m . is 56 . what are the numbers ?	1physics
if - 3 x + 2 y = 28 and 3 x + 6 y = 84 , what is the product of x and y ?	0general
before leaving home for the town of madison , pete checks a map which shows that madison is 5 inches from his current location , gardensquare . pete arrives in madison 5 hours later and drove at an average speed of 60 miles per hour . at what scale , in inches per mile , is the map drawn ?	1physics
a sphere is inscribed in a cube with an edge of 10 . what is the shortest possible distance from one of the vertices of the cube to the surface of the sphere ?	3geometry
by selling 20 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ?	2gain
25.25 / 2000 is equal to :	0general
on a sum of money , the simple interest for 2 years is rs . 660 , while the compound interest is rs . 696.30 , the rate of interest being the same in both the cases . the rate of interest is	2gain
a certain tire company can produce tires at a cost of $ 22500 per batch plus $ 8 per tire . the company can sell tires to the wholesaler at a cost of $ 20 per tire . if a batch of 15000 tires is produced and sold , what is the company ’ s profit per tire ?	2gain
at a certain company , two - thirds of the employees had cell phones and two - fifths had pagers . if one - third of the employees had neither cell phones nor pagers then what fraction of the employees had both cell phones and pagers ?	5other
the original price of a suit is $ 200 . the price increased 30 % , and after this increase , the store published a 30 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 30 % off the increased price , how much did these consumers pay for the suit ?	0general
a boat can travel with a speed of 22 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 81 km downstream	1physics
a man can do a piece of work in 5 days , but with the help of his son he can do it in 4 days . in what time can the son do it alone ?	1physics
the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5 . if the sum of their ages is 149 , what is the difference between the ages of patrick and monica ?	0general
a dealer offers a cash discount of 15 % and still makes a profit of 36 % when he further allows 25 articles to be sold at the cost price of 20 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ?	2gain
if x + y = 2 and x 2 y 3 + y 2 x 3 = 32 , what is the value of xy ?	0general
a man swims downstream 72 km and upstream 45 km taking 3 hours each time ; what is the speed of the current ?	1physics
there are 4 books on a shelf , of which 3 are paperbacks and 6 are hardbacks . how many possible selections of 4 books from this shelf include at least one paperback ?	4probability
if the price of a book is first decreased by 20 % and then increased by 10 % , then the net change in the price will be :	0general
a small company is planning to rent either computer a or computer b to print customer mailing lists . both computer a and computer b must be rented on an hourly basis . the rental fee is based only on the amount of time the computer is turned on . it will cost 40 percent more per hour to rent computer a than to rent computer b . computer b would , however , require 20 hours more than computer a to do the job . if either computer a , or computer b were rented the total cost to rent the computer would be $ 880.00 . what would be the approximate hourly charge to rent computer b ?	0general
two men a and b start from place x walking at 4 ½ kmph and 5 ¾ kmph respectively . how many km apart they are at the end of 7 ½ hours if they are walking in the same direction ?	1physics
the regular price per can of a certain brand of soda is $ 0.60 . if the regular price per can is discounted 20 percent when the soda is purchased in 24 - can cases , what is the price of 72 cans of this brand of soda purchased in 24 - can cases ?	2gain
the cost price of an article is 36 % of the marked price . calculate the gain percent after allowing a discount of 20 % .	2gain
the cost of 2 chairs and 3 tables is rs . 1300 . the cost of 3 chairs and 2 tables is rs . 1200 . the cost of each table is more than that of each chair by ?	0general
he ratio between the sale price and the cost price of an article is 5 : 1 . what is the ratio between the profit and the cost price of that article ?	5other
the average of first five multiples of 5 is ?	0general
mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 19008 , how much amount per month would he have spent on clothes and transport ?	0general
express 15 mps in kmph ?	1physics
if \| 5 x - 30 \| = 100 , then find the sum of the values of x ?	0general
the class mean score on a test was 60 , and the standard deviation was 5 . if jack ' s score was within 2 standard deviations of the mean , what is the lowest score he could have received ?	0general
a man buy a book in rs 50 & sale it rs 80 . what is the rate of profit ? ? ?	2gain
find the simple interest on rs . 71,200 at 16 2 / 3 % per annum for 9 months .	2gain
a number is doubled and 9 is added . if resultant is trebled , it becomes 51 . what is that number	0general
a car was driving at 80 km / h for 40 minutes , and then at 60 km / h for another 40 minutes . what was its average speed ?	0general
in x game of billiards , x can give y 20 points in 45 and he can give z 30 points in 45 . how many points can y give z in x game of 100 ?	0general
bill spends two days driving from point a to point b . on the first day , he drove 2 hours longer and at an average speed 5 miles per hour faster than he drove on the second day . if during the two days he drove a total of 680 miles over the course of 18 hours , what was his average speed on the second day , in miles per hour ?	1physics
the expenditure of an woman increase consistently by 30 % per year . if her present expenditure is rs . 1000 then what will her expenditure be after 3 years ?	0general
what percent of 6.3 kg is 25 gms ?	2gain
a rectangular floor is covered by a rug except for a strip 4 meters wide along each of the four edge . if the floor is 25 meters by 20 meters , what is the area of the rug in square meters ?	3geometry
the average of 45 results is 9 . the average of first 22 of them is 15 and that of last 22 is 20 . find the 23 result ?	0general
at what rate percent per annum will a sum of money double in 5 years .	2gain
the percentage increase in the area of rectangle , if each of its side is increased by 20 % is ?	3geometry
a cube is painted such that one pair of surfaces is painted brown and the other pair of surfaces is painted orange . the cube is cut in to 64 small cubes of equal size . find how many cubes have both the color brown and orange ?	3geometry
a bag contains 4 red , 4 blue and 2 green balls . if 2 ballsare picked at random , what is the probability that both are red ?	5other
in the xy - coordinate system , if ( m , n ) and ( m + 3 , n + k ) are two points on the line with the equation x = 2 y + 5 , then k =	0general
each factor of 210 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 45 ?	5other
in a garden , 26 trees are planted at equal distances along a yard 300 metres long , one tree being at each end of the yard . what is the distance between two consecutive trees ?	1physics
the product of 4 consecutive even numbers is always divisible by :	0general
workers at a campaign office have 2500 fliers to send out . if they send out 1 / 5 of them in the morning and 1 / 4 of the remaining ones out during the afternoon , how many are left for the next day ?	1physics
two numbers n and 24 have lcm = 48 and gcf = 8 . find n .	1physics
what is the sum of all the multiples of 8 between 30 and 100 ?	0general
a trailer carries 3 , 4 and 5 crates on a trip . each crate weighs no less than 1250 kg . what is the maximum weight of the crates on a single trip ?	0general
what is the remainder when 1271 * 1276 * 1277 * 1285 is divided by 12 ?	0general
what will be the difference between simple and compound interest @ 10 % per annum on a sum of $ 1000 after 4 years ?	2gain
if n is a positive integer and n ^ 2 is divisible by 150 , then what is the largest positive integer that must divide n ?	0general
the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5 . if the sum of their ages is 196 , what is the difference between the ages of patrick and monica ?	0general
if tim had lunch at $ 50.50 and he gave 20 % tip , how much did he spend ?	2gain
20 . a certain church bell rings the bell twice at half past the hour and 4 times at the hour plus an additional number of rings equal to what ever time it is . how many rings will the clock make from 6 : 20 in the morning to 09 : 50 in the morning ?	0general
if a book is sold at 7 % profit instead of 7 % loss , it would have brought rs 14 more . find out the cost price of the book	2gain
mahesh marks an article 15 % above the cost price of rs . 540 . what must be his discount percentage if he sells it at rs . 460 ?	2gain
a shopkeeper has 280 kg of apples . he sells 50 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total .	2gain
s ( n ) is a n - digit number formed by attaching the first n perfect squares , in order , into one integer . for example , s ( 1 ) = 1 , s ( 2 ) = 14 , s ( 3 ) = 149 , s ( 4 ) = 14916 , s ( 5 ) = 1491625 , etc . how many digits y are in s ( 99 ) ?	0general
a can do a piece of work in 12 days and b can do a piece of work in 18 days how many days will the work be completed if both of them work together ?	1physics
how many two - digit numbers yield a remainder of 2 when divided by both 7 and 16 ?	0general
find the 37.5 % of 976 ?	2gain
in track last week , the boys ran 34 laps . the girls ran 20 more laps . each lap is a 1 / 6 th of a mile . how many miles did the girls run ?	0general
the average weight of a group of boys is 30 kg . after a boy of weight 40 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ?	0general
in a garment industry , 12 men working 8 hours per day complete a piece of work in 10 days . to complete the same work in 8 days , working 20 hours a day , the number of men required is :	1physics
find the minimum value of n such that 50 ! is perfectly divisible by 2520 ^ n .	0general
a can finish a work in 10 days and b can do same work in half the time taken by a . then working together , what part of same work they can finish in a day ?	1physics
81 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?	1physics
fog + fog + fog + fog = 1464 . if f , o and g are digits in a 3 - digit number in the preceding equation the f + o + g = ?	0general
a is an integer greater than 39 but less than 51 , b is an integer greater than 49 but less than 61 , what is the range of a / b ?	0general
two sets of 6 consecutive positive integers have exactly one integer in common . the sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set ?	0general
how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 50 m long and 16 1 / 2 m board ?	0general
how many digits are required to number a book containing 260 pages ?	0general
log 3 n + log 15 n what is 3 digit number n that will be whole number	5other
the sum of squares of 3 numbers is 764 and sum of their products taken two at a time is 500 . what is their sum ?	0general
a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds . if the typical dosage is 2 cubic centimeters per 10 pounds of the body weight , by what percent was the prescribed dosage lesser than the typical dosage ?	0general
the maximum number of students among them 1340 pens and 1280 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ?	0general
if the remainder is 10 when the integer n is divided by 18 , what is the remainder when 2 n is divided by 9 ?	0general
the sum of two numbers is 15 and their geometric mean is 20 % lower than arithmetic mean . find the numbers .	0general
the value of ( 34.5 * 0.473 * 1.567 ) / ( 0.0673 * 23.25 * 7.57 ) is close to	0general
in the land of oz only one or two - letter words are used . the local language has 67 different letters . the parliament decided to forbid the use of the seventh letter . how many words have the people of oz lost because of the prohibition ?	0general
$ 500 is divided amongst a , b and c so that a may get 2 / 3 as much as b and c together , b may get 6 / 9 as much as a and c together , then the share of a is	0general
in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 5720 votes were polled , then how many valid votes did b get ?	0general
10 x 1.8 - 2 x 1.5 / 0.3 = ?	0general
there are 1000 students in a school and among them 20 % of them attends chess class . 10 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ?	2gain
an object thrown directly upward is at a height of h feet after t seconds , where h = - 15 ( t - 2 ) ^ 2 + 150 . at what height , in feet , is the object 2 seconds after it reaches its maximum height ?	0general
a trader sells 66 meters of cloth for rs . 660 at the profit of rs . 5 per metre of cloth . what is the cost price of one metre of cloth ?	1physics
what is the sum of the first 15 terms of an a . p whose 11 th and 7 th terms are 5.25 and 3.25 respectively	0general
the average marks of a class of 30 students is 40 and that of another class of 50 students is 70 . find the average marks of all the students ?	0general
the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 6348 sq cm . what is the ratio of the width and the area of the rectangle ?	3geometry
rates for having a manuscript typed at a certain typing service are $ 5 per page for the first time a page is typed and $ 3 per page each time a page is revised . if a certain manuscript has 100 pages , of which 30 were revised only once , 20 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ?	0general
three unbiased coins are tossed . what is the probability of getting at least 2 heads ?	4probability
the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 2 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ?	0general

dames school has 2000 boys and 5000 girls . what is the percentage increase from boys to total attendance and girls to total attendance ?

0general

a man swims downstream 76 km and upstream 48 km taking 4 hours each time ; what is the speed of the current ?

1physics

the average salary of all the workers in a workshop is rs . 8000 . the average salary of 7 technicians is rs . 16000 and the average salary of the rest is rs . 6000 . the total number of workers in the workshop is

0general

n = 1 / 3 + 1 / 4 what is the value of n ?

0general

how many even multiples of 55 are there between 549 and 1101 ?

0general

sum of two numbers prime to each other is 15 and their l . c . m . is 56 . what are the numbers ?

1physics

if - 3 x + 2 y = 28 and 3 x + 6 y = 84 , what is the product of x and y ?

0general

before leaving home for the town of madison , pete checks a map which shows that madison is 5 inches from his current location , gardensquare . pete arrives in madison 5 hours later and drove at an average speed of 60 miles per hour . at what scale , in inches per mile , is the map drawn ?

1physics

a sphere is inscribed in a cube with an edge of 10 . what is the shortest possible distance from one of the vertices of the cube to the surface of the sphere ?

3geometry

by selling 20 pencils for a rupee a man loses 20 % . how many for a rupee should he sell in order to gain 20 % ?

2gain

25.25 / 2000 is equal to :

0general

on a sum of money , the simple interest for 2 years is rs . 660 , while the compound interest is rs . 696.30 , the rate of interest being the same in both the cases . the rate of interest is

2gain

a certain tire company can produce tires at a cost of $ 22500 per batch plus $ 8 per tire . the company can sell tires to the wholesaler at a cost of $ 20 per tire . if a batch of 15000 tires is produced and sold , what is the company ’ s profit per tire ?

2gain

at a certain company , two - thirds of the employees had cell phones and two - fifths had pagers . if one - third of the employees had neither cell phones nor pagers then what fraction of the employees had both cell phones and pagers ?

5other

the original price of a suit is $ 200 . the price increased 30 % , and after this increase , the store published a 30 % off coupon for a one - day sale . given that the consumers who used the coupon on sale day were getting 30 % off the increased price , how much did these consumers pay for the suit ?

0general

a boat can travel with a speed of 22 km / hr in still water . if the speed of the stream is 5 km / hr , find the time taken by the boat to go 81 km downstream

1physics

a man can do a piece of work in 5 days , but with the help of his son he can do it in 4 days . in what time can the son do it alone ?

1physics

the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5 . if the sum of their ages is 149 , what is the difference between the ages of patrick and monica ?

0general

a dealer offers a cash discount of 15 % and still makes a profit of 36 % when he further allows 25 articles to be sold at the cost price of 20 articles to a particular sticky bargainer . how much percent above the cost price were his articles listed ?

2gain

if x + y = 2 and x 2 y 3 + y 2 x 3 = 32 , what is the value of xy ?

0general

a man swims downstream 72 km and upstream 45 km taking 3 hours each time ; what is the speed of the current ?

1physics

there are 4 books on a shelf , of which 3 are paperbacks and 6 are hardbacks . how many possible selections of 4 books from this shelf include at least one paperback ?

4probability

if the price of a book is first decreased by 20 % and then increased by 10 % , then the net change in the price will be :

0general

a small company is planning to rent either computer a or computer b to print customer mailing lists . both computer a and computer b must be rented on an hourly basis . the rental fee is based only on the amount of time the computer is turned on . it will cost 40 percent more per hour to rent computer a than to rent computer b . computer b would , however , require 20 hours more than computer a to do the job . if either computer a , or computer b were rented the total cost to rent the computer would be $ 880.00 . what would be the approximate hourly charge to rent computer b ?

0general

two men a and b start from place x walking at 4 ½ kmph and 5 ¾ kmph respectively . how many km apart they are at the end of 7 ½ hours if they are walking in the same direction ?

1physics

the regular price per can of a certain brand of soda is $ 0.60 . if the regular price per can is discounted 20 percent when the soda is purchased in 24 - can cases , what is the price of 72 cans of this brand of soda purchased in 24 - can cases ?

2gain

the cost price of an article is 36 % of the marked price . calculate the gain percent after allowing a discount of 20 % .

2gain

the cost of 2 chairs and 3 tables is rs . 1300 . the cost of 3 chairs and 2 tables is rs . 1200 . the cost of each table is more than that of each chair by ?

0general

he ratio between the sale price and the cost price of an article is 5 : 1 . what is the ratio between the profit and the cost price of that article ?

5other

the average of first five multiples of 5 is ?

0general

mr yadav spends 60 % of his monthly salary on consumable items and 50 % of the remaining on clothes and transport . he saves the remaining amount . if his savings at the end of the year were 19008 , how much amount per month would he have spent on clothes and transport ?

0general

express 15 mps in kmph ?

1physics

if | 5 x - 30 | = 100 , then find the sum of the values of x ?

0general

the class mean score on a test was 60 , and the standard deviation was 5 . if jack ' s score was within 2 standard deviations of the mean , what is the lowest score he could have received ?

0general

a man buy a book in rs 50 & sale it rs 80 . what is the rate of profit ? ? ?

2gain

find the simple interest on rs . 71,200 at 16 2 / 3 % per annum for 9 months .

2gain

a number is doubled and 9 is added . if resultant is trebled , it becomes 51 . what is that number

0general

a car was driving at 80 km / h for 40 minutes , and then at 60 km / h for another 40 minutes . what was its average speed ?

0general

in x game of billiards , x can give y 20 points in 45 and he can give z 30 points in 45 . how many points can y give z in x game of 100 ?

0general

bill spends two days driving from point a to point b . on the first day , he drove 2 hours longer and at an average speed 5 miles per hour faster than he drove on the second day . if during the two days he drove a total of 680 miles over the course of 18 hours , what was his average speed on the second day , in miles per hour ?

1physics

the expenditure of an woman increase consistently by 30 % per year . if her present expenditure is rs . 1000 then what will her expenditure be after 3 years ?

0general

what percent of 6.3 kg is 25 gms ?

2gain

a rectangular floor is covered by a rug except for a strip 4 meters wide along each of the four edge . if the floor is 25 meters by 20 meters , what is the area of the rug in square meters ?

3geometry

the average of 45 results is 9 . the average of first 22 of them is 15 and that of last 22 is 20 . find the 23 result ?

0general

at what rate percent per annum will a sum of money double in 5 years .

2gain

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

3geometry

a cube is painted such that one pair of surfaces is painted brown and the other pair of surfaces is painted orange . the cube is cut in to 64 small cubes of equal size . find how many cubes have both the color brown and orange ?

3geometry

a bag contains 4 red , 4 blue and 2 green balls . if 2 ballsare picked at random , what is the probability that both are red ?

5other

in the xy - coordinate system , if ( m , n ) and ( m + 3 , n + k ) are two points on the line with the equation x = 2 y + 5 , then k =

0general

each factor of 210 is inscribed on its own plastic ball , and all of the balls are placed in a jar . if a ball is randomly selected from the jar , what is the probability that the ball is inscribed with a multiple of 45 ?

5other

in a garden , 26 trees are planted at equal distances along a yard 300 metres long , one tree being at each end of the yard . what is the distance between two consecutive trees ?

1physics

the product of 4 consecutive even numbers is always divisible by :

0general

workers at a campaign office have 2500 fliers to send out . if they send out 1 / 5 of them in the morning and 1 / 4 of the remaining ones out during the afternoon , how many are left for the next day ?

1physics

two numbers n and 24 have lcm = 48 and gcf = 8 . find n .

1physics

what is the sum of all the multiples of 8 between 30 and 100 ?

0general

a trailer carries 3 , 4 and 5 crates on a trip . each crate weighs no less than 1250 kg . what is the maximum weight of the crates on a single trip ?

0general

what is the remainder when 1271 * 1276 * 1277 * 1285 is divided by 12 ?

0general

what will be the difference between simple and compound interest @ 10 % per annum on a sum of $ 1000 after 4 years ?

2gain

if n is a positive integer and n ^ 2 is divisible by 150 , then what is the largest positive integer that must divide n ?

0general

the ages of patrick and michael are in the ratio of 3 : 5 and that of michael and monica are in the ratio of 3 : 5 . if the sum of their ages is 196 , what is the difference between the ages of patrick and monica ?

0general

if tim had lunch at $ 50.50 and he gave 20 % tip , how much did he spend ?

2gain

20 . a certain church bell rings the bell twice at half past the hour and 4 times at the hour plus an additional number of rings equal to what ever time it is . how many rings will the clock make from 6 : 20 in the morning to 09 : 50 in the morning ?

0general

if a book is sold at 7 % profit instead of 7 % loss , it would have brought rs 14 more . find out the cost price of the book

2gain

mahesh marks an article 15 % above the cost price of rs . 540 . what must be his discount percentage if he sells it at rs . 460 ?

2gain

a shopkeeper has 280 kg of apples . he sells 50 % of these at 20 % profit and remaining 60 % at 30 % profit . find his % profit on total .

2gain

s ( n ) is a n - digit number formed by attaching the first n perfect squares , in order , into one integer . for example , s ( 1 ) = 1 , s ( 2 ) = 14 , s ( 3 ) = 149 , s ( 4 ) = 14916 , s ( 5 ) = 1491625 , etc . how many digits y are in s ( 99 ) ?

0general

a can do a piece of work in 12 days and b can do a piece of work in 18 days how many days will the work be completed if both of them work together ?

1physics

how many two - digit numbers yield a remainder of 2 when divided by both 7 and 16 ?

0general

find the 37.5 % of 976 ?

2gain

in track last week , the boys ran 34 laps . the girls ran 20 more laps . each lap is a 1 / 6 th of a mile . how many miles did the girls run ?

0general

the average weight of a group of boys is 30 kg . after a boy of weight 40 kg joins the group , the average weight of the group goes up by 1 kg . find the number of boys in the group originally ?

0general

in a garment industry , 12 men working 8 hours per day complete a piece of work in 10 days . to complete the same work in 8 days , working 20 hours a day , the number of men required is :

1physics

find the minimum value of n such that 50 ! is perfectly divisible by 2520 ^ n .

0general

a can finish a work in 10 days and b can do same work in half the time taken by a . then working together , what part of same work they can finish in a day ?

1physics

81 men working 8 hours per day dig 30 m deep . how many extra men should be put to dig to a depth of 50 m working 6 hours per day ?

1physics

fog + fog + fog + fog = 1464 . if f , o and g are digits in a 3 - digit number in the preceding equation the f + o + g = ?

0general

a is an integer greater than 39 but less than 51 , b is an integer greater than 49 but less than 61 , what is the range of a / b ?

0general

two sets of 6 consecutive positive integers have exactly one integer in common . the sum of the integers in the set with greater numbers is how much greater than the sum of the integers in the other set ?

0general

how many paying stones , each measuring 2 1 / 2 m * 2 m are required to pave a rectangular court yard 50 m long and 16 1 / 2 m board ?

0general

how many digits are required to number a book containing 260 pages ?

0general

log 3 n + log 15 n what is 3 digit number n that will be whole number

5other

the sum of squares of 3 numbers is 764 and sum of their products taken two at a time is 500 . what is their sum ?

0general

a doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds . if the typical dosage is 2 cubic centimeters per 10 pounds of the body weight , by what percent was the prescribed dosage lesser than the typical dosage ?

0general

the maximum number of students among them 1340 pens and 1280 pencils can be distributed in such a way that each student get the same number of pens and same number of pencils ?

0general

if the remainder is 10 when the integer n is divided by 18 , what is the remainder when 2 n is divided by 9 ?

0general

the sum of two numbers is 15 and their geometric mean is 20 % lower than arithmetic mean . find the numbers .

0general

the value of ( 34.5 * 0.473 * 1.567 ) / ( 0.0673 * 23.25 * 7.57 ) is close to

0general

in the land of oz only one or two - letter words are used . the local language has 67 different letters . the parliament decided to forbid the use of the seventh letter . how many words have the people of oz lost because of the prohibition ?

0general

$ 500 is divided amongst a , b and c so that a may get 2 / 3 as much as b and c together , b may get 6 / 9 as much as a and c together , then the share of a is

0general

in an election between two candidates a and b , the number of valid votes received by a exceeds those received by b by 15 % of the total number of votes polled . if 20 % of the votes polled were invalid and a total of 5720 votes were polled , then how many valid votes did b get ?

0general

10 x 1.8 - 2 x 1.5 / 0.3 = ?

0general

there are 1000 students in a school and among them 20 % of them attends chess class . 10 % of the students who are in the chess class are also enrolled for swimming . no other students are interested in swimming so how many will attend the swimming class if all enrolled attends ?

2gain

an object thrown directly upward is at a height of h feet after t seconds , where h = - 15 ( t - 2 ) ^ 2 + 150 . at what height , in feet , is the object 2 seconds after it reaches its maximum height ?

0general

a trader sells 66 meters of cloth for rs . 660 at the profit of rs . 5 per metre of cloth . what is the cost price of one metre of cloth ?

1physics

what is the sum of the first 15 terms of an a . p whose 11 th and 7 th terms are 5.25 and 3.25 respectively

0general

the average marks of a class of 30 students is 40 and that of another class of 50 students is 70 . find the average marks of all the students ?

0general

the ratio of the length and the width of a rectangle is 4 : 3 and the area of the rectangle is 6348 sq cm . what is the ratio of the width and the area of the rectangle ?

3geometry

rates for having a manuscript typed at a certain typing service are $ 5 per page for the first time a page is typed and $ 3 per page each time a page is revised . if a certain manuscript has 100 pages , of which 30 were revised only once , 20 were revised twice , and the rest required no revisions , what was the total cost of having the manuscript typed ?

0general

three unbiased coins are tossed . what is the probability of getting at least 2 heads ?

4probability

the captain of a cricket team of 11 members is 26 years old and the wicket keeper is 2 years older . if the ages of these two are excluded , the average age of the remaining players is one year less than the average age of the whole team . what is the average age of the team ?

0general