Question

If $n$ is divisible by $3$, then $\left\{\frac{2^n{.3}^n}{215}\right\}$ equals ( $\{.\}$ represents fractional part of $x$ ).

• A. $\frac{1}{215}$
• B. $\frac{2}{215}$
• C. $\frac{3}{215}$
• D. $\frac{6}{215}$

Answer 1

The correct option is A $\frac{1}{215}$

Let $n=3k$

$\therefore \frac{2^n{3}^n}{215},\frac{6^{3k}}{215},\frac{{216}^k}{215}$

$=\left\{\frac{{216}^k}{215}\right\}=\frac{1}{215}$