Exams › SSC CGL (Prelims) › General

What is the remainder when 8^8 + 6 is divided by 7?

1. 0
2. 2
3. 3
4. 1

Correct answer: 0

Solution

8 ≡ 1 (mod 7), so 8^8 ≡ 1^8 = 1 (mod 7). Then 8^8 + 6 ≡ 1 + 6 = 7 ≡ 0 (mod 7). Remainder = 0.

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