Question

An army contingent of 616 members is to march behind an army band of 32 members in a parade. The two

groups are to march in the same number of columns. What is the maximum number of columns in which

they can march?​

Answer 1

Step-by-step explanation:

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Answer 2

For any positive integer 'a' by euclids division lemma a=bq+r where 0_<r<b

put a=n and b=3

i.e; n= 3q, 3q+1 ,3q+2

case 1: n=3q

       n^2=(3q)^2=9q^2=3(3q)^2

             =3m where m=3q^2

case 2: n=3q+1

            n^2=(3q+1)^2 = 9q^2=3(3q)^2

                 =3(3q^2+2q)+1=3m+1 where m=3q^2+2q

case3: n=3q+2

n^2=(3q+2)^2=9q^2+12a+4