9303753286127016 144 cartons of coke cans and 90 cartons of pepsi cans are to be stacked in a canteen. If each stack is of same height and is to contain cartons of the same drink, what would be the greatest number of cartons each stack would have?

144 cartons of coke cans and 90 cartons of pepsi cans are to be stacked in a canteen. If each stack is of same height and is to contain cartons of the same drink, what would be the greatest number of cartons each stack would have?

byBalkishan Agrawal -June 17, 2022

Question

$144$ cartons of coke cans and $90$ cartons of pepsi cans are to be stacked in a canteen. If each stack is of same height and is to contain cartons of the same drink, what would be the greatest number of cartons each stack would have?

Easy

Solution

Verified by GMS

Correct option is A)

In order to arrange the cartons of the same drink in the same stack, we have to find the greatest number that divides $144$ and $90$ exactly.
Using Euclid's division algorithm, to find the H.C.F. of $144$ and $90$ .

$144 = 90$ $\times$ $1 + 54$
$90 = 54$ $\times$ $1 + 36$
$54 = 36$ $\times$ $1 + 18$
$36 = 18$ $\times$ $2 + 0$

So, the H.C.F. of $144$ and $90$ is $18$ .
Number of cartons in each stack $= 18 .$

Tags: Maths

144 cartons of coke cans and 90 cartons of pepsi cans are to be stacked in a canteen. If each stack is of same height and is to contain cartons of the same drink, what would be the greatest number of cartons each stack would have?

$144$ cartons of coke cans and $90$ cartons of pepsi cans are to be stacked in a canteen. If each stack is of same height and is to contain cartons of the same drink, what would be the greatest number of cartons each stack would have?

Post a Comment

Contact Form