JEE Main 7 April 2025, Shift 1, Maths Q7

Question 7 of 75 in this shift, Maths question 7 of 25, Section A.

The remainder when

\left((64)^{(64)}\right)^{(64)}

is divided by 7 is equal to

(1) $1$ Official answer
(2) $3$
(3) $4$
(4) $6$

Official answer

Option 1

NTA final key.

Chapter: Binomial Theorem
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.