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      Question

      Find the digit sum of the largest three-digit number that

      leaves 1 as a remainder when divided by 8, 6, and 10.
      A 24 Correct Answer Incorrect Answer
      B 16 Correct Answer Incorrect Answer
      C 28 Correct Answer Incorrect Answer
      D 12 Correct Answer Incorrect Answer

      Solution

      ATQ,

      LCM of (8, 6, and 10) = 120

      Largest 3-digit number divisible by 120 = 120 Γ— 8 = 960

      So, N = 960 + 1 = 961

      Sum of digits of 'N' = 9 + 6 + 1 = 16

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