Question

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

• A. 1
• B. 2
• C. 3
• D. 4

Answer 1

Answer: (D)

$3^{2022}=9^{1011}=(10-1{)}^{1011}=10m-1=10m-5+4$
$=5(2m-1)+4(m$ is integer)
Remainder $=4$