Multiple choice

A certain number is exactly divisible by 6. If the same number is divided by 9, then the remainder can be

  1. 1

  2. 2

  3. 3

  4. 4

  5. 5
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

If a number is divisible by 6, it is a multiple of 6 (6, 12, 18, 24, 30, 36...). Dividing these by 9: 6/9 rem 6, 12/9 rem 3, 18/9 rem 0, 24/9 rem 6, 30/9 rem 3. The possible remainders are 0, 3, 6.

AI explanation

Let the certain number be N. If N is exactly divisible by 6, it must also be divisible by the factors of 6, meaning N divided by 3 leaves a remainder of 0. If you then divide N by 9, you are dividing a multiple of 3 by another multiple of 3 (since 9 = 3 * 3). The remainder of this operation must therefore also be a multiple of 3, meaning it can only be 0, 3, or 6; among the given options, 3 is the valid remainder.

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