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Number Theory Level 2

The value of \(\{\frac{5^{2n}}{24}\}\), \(n\in \mathbb {N}\) where \(\{.\}\) denotes fractional part of \(x\) is

\[\frac{5}{24}\] 0 \[\frac{1}{5}\] \[\frac{1}{24}\] none

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by Tanishq Varshney

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