Q70 / 180 · COMEDK 2017 · Mathematics

For all $n \in N, 2 \cdot 4^{2 n+1}+3^{3 n+1}$ is divisible by

  • A
    2
  • B
    9
  • C
    3
  • Correct answer
    D
    11

Solution

Let $P(n)=2 \cdot 4^{2 n+1}+3^{3 n+1}$ $P(1) \equiv 128+81=209$, which is divisible by 11 only.

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

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