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 × 1+54
90=54 × 1+36
54=36 × 1+18
36=18 × 2+0
So, the H.C.F. of 144 and 90 is 18.Number of cartons in each stack =18.
144=90 × 1+54
90=54 × 1+36
54=36 × 1+18
36=18 × 2+0
Tags:
Maths