Question

show that one and only one of n, n+4,n+8n+12 and n+16 is divisible by 5, where n is any positive integer​

Answer 1

Answer:

Let a be the positive integer

let a divided by 5 and get quotient and remainder

According to Euclid division lemma

a=5q+r

a=5q

let 3q=n

a=n

If r=4

Then

a=( n+4)

If r=8

Then

a=( n+8)

If r=12

Then

a=12

If r=16

Then

a=16