Exams › SSC CGL (Prelims) › General

What is the remainder when 9^20 + 2 is divided by 4?

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

Correct answer: 3

Solution

9 = 4x2 + 1, so 9 ≡ 1 (mod 4). Therefore 9^20 ≡ 1^20 = 1 (mod 4). Adding 2: 1 + 2 = 3. The remainder is 3.

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