What is the greatest number of five digits which when 3769 is added to it will be exactly divisible

What is the greatest number of five digits which when 3769 is added to it will be exactly divisible by 5, 6 , 10, 12, 15 and 18 ?

  1. 4309
  2. 99459
  3. 100539
  4. 99911
  5. None of These

Ans: 4

Sol: LCM of 5, 6, 10, 12 and 18 is 540
On dividing  (99999 + 3769)  by 540, the remainder is  88
So, the required number is 99999 – 88 = 99911

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