Q60 / 155 · WBJEE 2019 · Mathematics

$7^{2 n}+16 n-1(n \in N)$ is divisible by

A
65
B
63
C
61
Correct answer
D
64

Solution

We have, $7^{2 n}+16 n-1$ Put $n=1,$ we get $\begin{aligned} 7^{2}+16-1 & \\ =& 49+15 \\ =& 64 \end{aligned}$ which is divisible by 64.

Hence, the correct answer is option: 'D'.

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