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      Question

      Find the difference between minimum and maximum value

      of 'e' such that '3e1750' is always divisible by 3.
      A 7 Correct Answer Incorrect Answer
      B 9 Correct Answer Incorrect Answer
      C 6 Correct Answer Incorrect Answer
      D 5 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 '3e1750' = (3 + e + 1 + 7 + 5 + 0) = e + 16.
      So, e + 16 should be divisible by 3.
      Possible values of 'e' = 2, 5, 8
      Minimum value of 'e' = 2
      Maximum value of 'e' = 8
      Required difference = 8 – 2 = 6

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