Multiple choice

When a number is divided by 15, 18, 24 and 45 it leaves remainder 4 in each case. Find the number if this is the largest number of 4 digits.

  1. $9814$
  2. $9929$
  3. $9829$
  4. $9724$
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D Correct answer
Explanation

LCM of 15, 18, 24, 45 = 360. Number = 360k + 4 (since remainder is 4). For largest 4-digit: 9999 ÷ 360 = 27.77, so k = 27. Number = 360 × 27 + 4 = 9724.

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