Question

If $(27{)}^{999}$ is divided by $7$, then the remainder is :

• A. 1
• B. 2
• C. 3
• D. 6

Answer 1

Answer: (D)

$\frac{{\left(28-1\right)}^{999}}{7}=\frac{28\lambda -1}{7}\Rightarrow \frac{28\lambda -7+1-1}{7}=\frac{7\left(4\lambda -1\right)+6}{7}$
$\therefore$ Rem = 6