Question

If n ∈ N, then ${11}^{n+2}$ + ${12}^{2n+1}$ is divisible by

• A. 113
• B. 123
• C. 133
• D. None of these

Answer 1

The correct option is C

133

Putting n = 1 in ${11}^{n+2}+{12}^{2n+1}$

We get, ${11}^{1+2}+122\times 1+1$ = ${11}^3+{12}^3$ = 3059, which

is divisible by 133.