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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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