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Railways PYQCBT 1 2016

RRB NTPC · Question 64

Find the remainder when 4^13 divided by 3?

  1. 1

  2. 2

  3. 0

  4. 3

Show answer & explanation

Answer: (A) 1

Explanation

4 leaves remainder 1 when divided by 3, so every power of 4 also leaves remainder 1: 4¹³ ≡ 1¹³ = 1 (mod 3).