CUET · MATHS · PYQ PAPER 2025
The remainder, when \(5^{60}\) is divided by 7 , is :
- A 5
- B 1
- C 2
- D 3
Answer & Solution
Correct Answer
(B) 1
Step-by-step Solution
Detailed explanation
\(5^3 \equiv 125 \equiv 6 \equiv -1 \pmod{7}\) \(5^{60} \equiv (5^3)^{20} \pmod{7}\) \(5^{60} \equiv (-1)^{20} \pmod{7}\) \(5^{60} \equiv 1 \pmod{7}\)
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