Question

15. Show that one and only one out of n, 1+4, n +8, 11 + 12 and n +16 is divisible by 5, where n is any positive integar​

Answer 1

Step-by-step explanation:

We definitely get one and only one of given numbers is divisible by 5. Hence, one and only one out of n, n+ 4, n+ 8, n+12 and n+16 is divisible by 5. On dividing on n by 5, letq be the quotient and r be the remainder. Then =5q + r, where 0<r< 5.