Find the remainder when 54124 is divided by 17.

Answer: Option B

$$\begin{array}{rl}& \frac{{54}^{124}}{17}\\ & Or,\frac{{\left(17\times 3+3\right)}^{124}}{17}\\ & \text{The}\text{remainder}\text{would}\text{be}\text{same}\text{as},\\ & \frac{3^{124}}{17}\\ & Or,\frac{3^{4\times 31}}{17}\\ & \text{Remainder}\text{will}\text{be}\text{same}\text{as},\\ & \frac{3^4}{17}\\ & Or,\frac{81}{17}\\ & \text{Remainder}=13\end{array}$$