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

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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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