JEE Main 2022 · 28 Jul · Shift 1 · Mathematics Q13

MathematicsSingle correct+4 / -1Question 13 of 90

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

Answer and worked solution

Official answer: C

Mod 5. $7^{2022}\equiv2^{2022}\equiv2^2=4$ and $3^{2022}\equiv(3^2)^{1011}\equiv(-1)^{1011}=-1\equiv4$ .

$4+4=8\equiv3$ . (C)

JEE Main 2022 · 28 Jul · Shift 1, Mathematics question 13