Question

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

• A. 0
• B. 2
• C. 3
• D. 4

Answer 1

Answer: (C)

$7^{2022}+3^{2022}$
$=(49{)}^{1011}+(9{)}^{1011}$
$=(50-1{)}^{1011}+(10-1{)}^{1011}$
$=5\lambda -1+5K-1$
$=5m-2$
Remainder $=5-2=3$