CUET · MATHS · PYQ PAPER 2025
The unit's digit of \(12^{12}\) is equal to :
- A 1
- B 4
- C 6
- D 2
Answer & Solution
Correct Answer
(C) 6
Step-by-step Solution
Detailed explanation
Unit's digit of \(12^{12}\) is the unit's digit of \(2^{12}\). Unit's digit cycle for powers of 2: \(2^1 \to 2, 2^2 \to 4, 2^3 \to 8, 2^4 \to 6\). \(12 \pmod 4 = 0\), corresponding to the \(4^{th}\) digit in the cycle. Result: \(6\).
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