JEE Main 2022 · 25 Jul · Shift 2 · Mathematics Q4

MathematicsSingle correct+4 / -1Question 4 of 90

The remainder when $(11)^{1011}+(1011)^{11}$ is divided by 9 is

Answer and worked solution

Official answer: D

Mod 9. $11\equiv2$ , $2^6\equiv1$ : $2^{1011}=2^{3}\cdot(2^6)^{168}\equiv8$ . $1011\equiv3$ , $3^{11}\equiv0$ .

Remainder 8.

(D)

Topics:Properties of binomial coefficients Number systems

JEE Main 2022 · 25 Jul · Shift 2, Mathematics question 4