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Question: Answered & Verified by Expert
$7^{2 n}+16 n-1(n \in N)$ is divisible by
MathematicsBasic of MathematicsWBJEEWBJEE 2019
Options:
  • A 65
  • B 63
  • C 61
  • D 64
Solution:
2748 Upvotes Verified Answer
The correct answer is: 64
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.

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