If (27)^ 999 is divided by 7, then the remainder is - Vidyadip

MCQ

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

A
$1$
B
$2$
C
$3$
✓
$6$

✓

Answer

Correct option: D.

$6$

d
$\frac{{28 - {1^{999}}}}{7} = \frac{{28\lambda - 1}}{7}$

$ \Rightarrow \quad \frac{{28\lambda - 7 + 7 - 1}}{7} = \frac{{7(4\lambda - 1) + 6}}{7}$

$\therefore \quad \operatorname{Rem}=6$

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