Statement-1: `11^25 + 12^25` when divided by 23 leaves the remainder zero.Statement-2: `(a + b)^n` is divisible by `(a + b)` for all values of `n epsilon`N

Statement-1: 11^25 + 12^25 when divided by 23 leaves the remainder zero. Statement-2: a^n + b^n is divisible by (a + b) for all values of natural number n

6^(n)-5 n when divided by 25 leaves the remainder

7^(103) when divided by 25 leaves the remainder .

7^(103) when divided by 25 leaves the remainder .

Statement-1 : 11^(25) +12^(25) when divided by 23 leaves the remainder zero. a^n+b^n is always divisible by a+b ninN

3^(2n)+9n+1 when divided by 9 will leave the remainder

For a positive integer n,n(n+1)(2n+1) when divided by 6 leaves the remainder -

Statement-1 4^(101) when divided by 101 leaves the remainder4. Statement-2 (n^(p) -n) when divided by 'p' leaves remainder zero when n ge 2, n in N is a prime number .