The digit in unit's place of the product (2153)167 is -

Answer: Option C

$$\begin{array}{rl}& {\left(2153\right)}^{167}\\ & \text{unit digit = }{\text{3}}^{167}\\ & \text{unit digit }\\ & \\ & {\text{3}}^1\to \text{3}\to \text{3}\\ & {\text{3}}^2\to 9\to 9\\ & {\text{3}}^3\to 27\to 7\\ & {\text{3}}^4\to 81\to 1\end{array}$$
This cycle will continue
⇒ divide the power of 3 by 4
$$\begin{array}{rl}& \frac{167}{4}\Rightarrow \text{remainder is 3}\\ & {\text{3}}^3\Rightarrow 7\\ & \text{unit digit = }1\times 7=7\end{array}$$