Multiple choice

When a number is divided by 54, the remainder obtained is 39. What will be the remainder when the number is divided by 9?

  1. 4

  2. 5

  3. 3

  4. 7
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If N ÷ 54 leaves remainder 39, then N = 54k + 39 for some integer k. When N ÷ 9, we find N mod 9. Since 54k is divisible by 9, we only need 39 mod 9. 39 = 4 × 9 + 3, so remainder is 3. This works because 9 is a factor of 54, so the remainder when dividing by 9 is just the original remainder mod 9.

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