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  4. The remainder when 32022 is divided by 5 is

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

JEE MainJEE Main 2022Binomial Theorem

Solution:

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