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  4. The remainder when 72022+32022 is divided by 5 is:

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

JEE MainJEE Main 2022Binomial Theorem

Solution:

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