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Solution

✅ Correct Option: 2

Since 52=25≡1(mod8)5^2=25 \equiv 1 \pmod 8, we have 561=(52)30×5≡1×5=5(mod8)5^{61}=(5^2)^{30} \times 5 \equiv 1 \times 5=5 \pmod 8. The remainder is 55.

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