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\(\frac{1}{9}: \frac{1}{81}, \frac{1}{13} : \ ?\)
1. \(\frac{1}{169}\)
2. \(\frac{1}{125}\)
3. \(\frac{1}{120}\)
4. \(\frac{1}{127}\)

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Correct Answer - Option 1 : \(\frac{1}{169}\)

The pattern followed here is, In the first fraction the square of the denominator is taken in the next fraction. Following this pattern the fraction that is related to \(\frac{1}{13}\) must be \(\frac{1}{169}\) as (13)2 = 169.

Hence, \(\frac{1}{169}\) is the correct answer. 

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