Multiple choice

A number, when divided by 345 leave remainder 69. What is the remainder if the same number is divided by 15?

  1. 7

  2. 9

  3. 0

  4. 6

  5. 1
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

When a number N = 345k + 69 is divided by 15, the term 345k is always divisible by 15 since 345 = 15 × 23. Therefore, the remainder depends only on 69 divided by 15, which gives 69 = 15 × 4 + 9. So the remainder is 9.

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