Exams › SSC CGL (Prelims) › General

Calculate the remainder when (19^11 - 23) is divided by 18.

1. 14
2. 21
3. 15
4. 17

Correct answer: 14

Solution

17 ≡ -1 (mod 18), so 17^13 ≡ (-1)^13 = -1 ≡ 17 (mod 18). Then 17 - 21 = -4 ≡ 18 - 4 = 14 (mod 18). The remainder is 14.

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