Question

Word Problems

1 A contingent of 428 soldiers was marching in a parade. The leader of this contingent was leading the team in the front. The remaining soldiers formed a perfect rectangle behind him. If the number of soldiers in each row behind him was less than 12, find the maximum number of soldiers in each row Also find the number of rows in that rectangular formation.​

Answer 1

$\bf\red{Given:-}$

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

$\bf\red{To \: Find:-}$

• find the maximum number of soldiers in each row.

• find the number of rows in that rectangular formation.

So,

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

$\bf\red{Solution:-}$

using Euclid's division algorithm

• 612=48×12+36

• ⇒48=36×1+12

• →36=12×3+0

• ∴HCF(612,48)=12

$\bf\red{Note:-}$

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