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      Question

      Find the difference between minimum and maximum value of

      'k' such that '6k8194' is always divisible by 3.
      A 7 Correct Answer Incorrect Answer
      B 9 Correct Answer Incorrect Answer
      C 6 Correct Answer Incorrect Answer
      D 8 Correct Answer Incorrect Answer

      Solution

      A number is divisible by 3 when the sum of its digits is divisible by 3.
      Sum of digits of '6k8194' = (6 + k + 8 + 1 + 9 + 4) = k + 28.
      So, k + 28 should be divisible by 3.
      Possible values of 'k' = 2, 5, 8
      Minimum value of 'k' = 2
      Maximum value of 'k' = 8
      Required difference = 8 – 2 = 6

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