Multiple choice

The largest five-digit number which when divided by 7, 9 and 11, leaves the same remainder as 3 in each case, is :

  1. 95840

  2. 98685

  3. 96720

  4. 99795
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The number must be 3 more than a multiple of LCM(7,9,11) = 693. 99795 - 3 = 99792, which is divisible by 693 (144 × 693), and 99795 is the largest 5-digit number satisfying this.

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