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Question: Answered & Verified by Expert
$2^{3 n}-7 n-1$ is divisible by
MathematicsBasic of MathematicsBITSATBITSAT 2014
Options:
  • A 64
  • B 36
  • C 49
  • D 25
Solution:
1088 Upvotes Verified Answer
The correct answer is: 49
$2^{3 n}-7 n-1 \quad$ Taking $n=2 ;$

$$

\begin{array}{l}

2^{6}-7 \times 2-1 \\

=64-15=49

\end{array}

$$

Therefore this is divisible by 49 .

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