$\forall n \in N, 3^{3 n} - 26^{n}$ is divisible by

24

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64

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17

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none of these

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Solution

The correct option is D none of these
Put $n = 2$
$3^{3 n} - 26^{n} = 3^{6} - 26^{2} = 53$ which is not divisible by any $24, 64, 17$
Hence option 'D' is correct choice.

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