Question

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

• A. 1
• B. 2
• C. 3
• D. 6

Answer 1

Answer: (D)

6

Answer 2

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