Multiple choice

A number when divided by a divisor leaves a remainder of 8. When twice the original number is divided by the same divisor, the remainder is 5. What is the value of the divisor?

  1. 15

  2. 28

  3. 22

  4. 11
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let number N = d × q + 8, where d is divisor. Then 2N = 2d × q + 16. When 2N is divided by d, remainder is 16 mod d. Given this remainder is 5, so 16 ≡ 5 (mod d), meaning 16 - 5 = 11 is divisible by d. Since 8 < d, d = 11.

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