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An army contigent of 612 members …

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An army contigent of 612 members is to march behind an army band of 48 columns in a parade. The two groups are to march in the same no. Of columns what is the maximum no. Of columns in which they can march.

Posted by Shradharani Tripathy 4 years, 4 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 4 years, 4 months ago

Given:

An army contingent of 612 members is to march behind an army band of 48 members.

Here, HCF of 612 and 48 will give the maximum number of columns in which the two groups can march.

So, using Euclid's division algorithm

612=48×12+36

⇒48=36×1+12

→36=12×3+0

∴HCF(612,48)=12

Hence, the maximum no of columns in which they can march is 12

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