JEE Main 2022 · 27 Jul · Shift 1 · Mathematics Q5

MathematicsSingle correct+4 / -1Question 5 of 90

The remainder when $(2021)^{2022}+(2022)^{2021}$ is divided by 7 is

Answer and worked solution

Official answer: A

Mod 7. $2021\equiv5$ , $2022\equiv-1$ . Since $5^6\equiv1$ and $6\mid2022$ , $5^{2022}\equiv1$ ; $(-1)^{2021}=-1$ .

Remainder $1-1=0$ . (A)

JEE Main 2022 · 27 Jul · Shift 1, Mathematics question 5