Number System · Question 13 · Hard

What is the remainder when 2^100 is divided by 7?

  1. 1
  2. 4
  3. 6
  4. 2
Answer and explanation

Answer: D. 2

Explanation: 2^3 = 8 leaves remainder 1 when divided by 7. 2^100 = (2^3)^33 × 2, so the remainder is 1 × 2 = 2.

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