Q. If $n \in N$ , then $11^{n + 2} + 12^{2n + 1}$ is divisible by

A) 113
B) 123
C) 133
D) None of these
Explanation

(c)
On putting $n = 1$ in $11^{n + 2} + 12^{2n + 1}$, we get
$11^{1 + 2} + 12^{2 \times 1 + 1} = 11^{3} + 12^{3} = 3059$
Which is divisible by 133

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.