Exams › SSC CGL (Prelims) › General

If (55^55 + 55) is divided by 56, what will be the remainder?

1. 56
2. 55
3. 54
4. 1

Correct answer: 54

Solution

55 = -1 (mod 56). Since 55 is odd, 55^55 = (-1)^55 = -1 = 55 (mod 56). So 55^55 + 55 = 55 + 55 = 110 (mod 56). Since 110 = 56 x 1 + 54, the remainder is 54.

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