Question Detail
Find the unit digit in \begin{aligned}
(544)^{102} + (544)^{103}
\end{aligned}
- 2
- 4
- 0
- 1
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