Number System · Question 27 · Hard

What is the remainder when 1! + 2! + 3! + ... + 100! is divided by 12?

  1. 3
  2. 0
  3. 1
  4. 9
Answer and explanation

Answer: D. 9

Explanation: From 4! onwards every factorial is divisible by 12 (4! = 24). So the remainder comes only from 1! + 2! + 3! = 1 + 2 + 6 = 9.

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