If the fractional part of the number is ,then k is equal to

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If the fractional part of the number
$\frac{2^{403}}{15}$ is $\frac{k}{15}$ ,then k is equal to

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\left\{ \frac{2^{203}}{15} \right\}

8.2^200

\Rightarrow

8.16^50 = 8(1 + 15)^50 = 8(1 + 15)
Hence remainder is

Source: Grass-G / M-22 Mathematics Paper 19 Dec Eng.docx

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