Find the unit digit in $$\begin{aligned} (544)^{102} + (544)^{103} \end{aligned}$$

Answer: Option C

Explanation:

Required digit is = $$\begin{aligned} (4)^{102} + (4)^{103} \end{aligned}$$
as $$\begin{aligned} (4)^2 \end{aligned}$$ gives unit digit 6 so $$\begin{aligned} (4)^{102} \end{aligned}$$ unit digit is 6 and $$\begin{aligned} (4)^{103} \end{aligned}$$ unit digit is, unit digit of $$\begin{aligned} 6 \times 4 \end{aligned}$$ = 4, so answer will be unit digit of 6 + 4 = 0