The remainder when 7^ 2022 +3^ 2022 is divided by 5 is. - Vidyadip

MCQ

The remainder when $7^{2022}+3^{2022}$ is divided by 5 is.

A
$0$
B
$2$
✓
$3$
D
$4$

✓

Answer

Correct option: C.

$3$

c
$7^{2022}+3^{2022}$

$=(49)^{1011}+(9)^{1011}$

$=(50-1)^{1011}+(10-1)^{1011}$

$=5 \lambda-1+5 K -1$

$=5\,m -2$

Remainder $=5-2=3$

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