For what values of x is $(25^{x} + 1$ ) divisible by 13?

All real values of x

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Odd natural values of x

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Even values of x

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All the integral values of x

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Solution

The correct option is B Odd natural values of x
$\frac{25^{x} + 1}{13} = \frac{(- 1)^{x}}{13} + \frac{1}{13}$
Hence, for odd natural values of $x, 25^{x} + 1$ will be divisible.

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k

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