Multiple choice

A number, when divided by 2736, gives 75 as the remainder. If the same number is divided by 24 what will be the remainder?

  1. 1

  2. 2

  3. 3

  4. 5

  5. 0
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

When a number leaves remainder 75 when divided by 2736, the number can be written as 2736k + 75. Since 2736 = 24 × 114 is exactly divisible by 24, we only need to find 75 mod 24. 75 = 3 × 24 + 3, so the remainder is 3.

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