Question

show that one and only one out of n+4, n+7, n+10, and n+13 is divisible by 4

Answer 1

Answer:

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.