JEE PYQ: Binomial Theorem Question 5
Question 5 - 2021 (17 Mar Shift 1)
If $(2021)^{3762}$ is divided by 17, then the remainder is ____.
Show Answer
Answer: 4
Solution
$2021 \equiv 2 \pmod{17}$. $2^{3762} = (2^4)^{940} \cdot 4 = (17-1)^{940} \cdot 4 \equiv 4 \pmod{17}$.