Multiple choice

When a number is divided by another number, the remainder is 23. When twice of the number is divided by the same divisor the remainder is 11. The divisor is -

  1. 36

  2. 35

  3. 34

  4. 20
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let n = dq + 23 where 23 < d. Then 2n = d(2q) + 46. The remainder of 46 divided by d is 11. This means 46 = d × 1 + 11, so d = 35. Check: if remainder is 23 and divisor is 35, then 2 × 23 = 46 gives remainder 11 (since 46 - 35 = 11). Options A (36), C (34), and D (20) don't work.

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