The remainder of 2^59255 is:

Answer: Option E

$$\begin{array}{rl}& 2^{59}\text{can}\text{be}\text{expressed}\text{as}{2}^{8n}\\ & \text{So},\\ & \text{Remainder}\frac{2^{59}}{255}\\ & =\text{Remainder}\frac{2^{8n}}{255}\\ & =\text{Remainder}\frac{{256}^n}{255}=1\\ & \text{Required}\text{remainder}=1\end{array}$$