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      Question

      тАШNтАЩ is the largest three-digit number that leaves 6

      as a remainder when divided by 7, 8 and 5. Find the sum of digits of тАШNтАЩ.
      A 19 Correct Answer Incorrect Answer
      B 17 Correct Answer Incorrect Answer
      C 16 Correct Answer Incorrect Answer
      D 18 Correct Answer Incorrect Answer

      Solution

      LCM of (7, 8 and 5) = 280
      Largest 3-digit number that is divisible by 280 = 280 ├Ч 3 = 840
      So, N = 840 + 6 = 846
      So, sum of digits of 'N' = 8 + 4 + 6 = 18

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