Multiple choice

When a number is divided by 48, the remainder is 21. What will be the remainder when the number is divided by 16 ?

  1. 7

  2. 5

  3. 0

  4. 3
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let N be the number. N = 48q + 21 for some integer q. Since 16 is a factor of 48, we can write 48q + 21 = 16(3q) + 16 + 5 = 16(3q + 1) + 5. Therefore, when N is divided by 16, the remainder is 5.

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