Multiple choice

When a number is divided by 45, the remainder is 21. What will be the remainder when the number is divided by 15?

  1. 6

  2. 5

  3. 3

  4. 0
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A Correct answer
Explanation

If a number N = 45k + 21, then N = 15(3k) + 15 + 6. Dividing by 15 leaves a remainder of 6.

AI explanation

Let the unknown number be 45q plus 21. Since 45 is a multiple of 15, the term 45q is exactly divisible by 15. Therefore, the remainder equals the remainder of 21 divided by 15, which is 6. The result is 6.

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