Question

If $\left\{x\right\}$ represents the fractional part of $x$, then $\left\{\frac{5^{200}}{8}\right\}$ is

• A. $\frac{1}{4}$
• B. $\frac{1}{8}$
• C. $\frac{3}{8}$
• D. $\frac{5}{8}$

Answer 1

The correct option is B $\frac{1}{8}$

$5^{2}00={25}^{100}=8K+1k$ is an integer

So, $\frac{5^{200}}{8}=\frac{k+1}{7}$

$\therefore$ fractional part is $\frac{1}{8}$