Multiple choice

Find the greatest number of five digits when divided by 8 ,9 and 10 leaves 3 as remainder in each case-

  1. 99727

  2. 99920

  3. 99723

  4. 99720
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

LCM of 8, 9, 10 = 360. We need the greatest 5-digit number of form 360k + 3. Greatest 5-digit is 99999. 99999 ÷ 360 = 277 remainder 219, so 360 × 277 = 99720. Adding remainder: 99720 + 3 = 99723.

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