Exams › SSC CGL (Prelims) › General

What is the remainder when 27^27 + 27 is divided by 28?

1. 28
2. 27
3. 25
4. 26

Correct answer: 26

Solution

Since 27 = 28 – 1, we have 27 ≡ –1 (mod 28). Therefore 27^27 ≡ (–1)^27 = –1 ≡ 27 (mod 28). So 27^27 + 27 ≡ 27 + 27 = 54 ≡ 54 – 28 = 26 (mod 28). The remainder is 26.

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