Bihar Police Constable Model Paper 1

Concept used:
We know that ${\mathit{a}}^{\mathit{n}}-{\mathit{b}}^{\mathit{n}}$ is divisible by a - b for all n ∈ N
${\mathit{a}}^{\mathit{n}}-{\mathit{b}}^{\mathit{n}}$ is divisible by a + b if n is Even.
${\mathit{a}}^{\mathit{n}}+{\mathit{b}}^{\mathit{n}}$ is divisible by a + b if n is Odd.
Calculation:
∴ The given no. is divisible by 49 – 1 = 48