Option 2 : 9

**Calculation**:

Apply Euler's theorem:

⇒ E(13) = 13 × (1 - 1/13)

⇒ E(13) = 12

To calculate 2^{200}/13

⇒ E(13) = 12 i.e. 2^{192}/13 = 0

Now 2^{8 }mod 13 = 256/13

⇒ 28/13 = 9

Hence remainder is **9**

The correct option is 2 i.e. 9

__Additional Information__

Euler's theorem is applied when Number and divisor are coprime.

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