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    Question

    If 248x73 is a six-digit number that is divisible by 3,

    then find the maximum value of 4x.
    A 24 Correct Answer Incorrect Answer
    B 28 Correct Answer Incorrect Answer
    C 32 Correct Answer Incorrect Answer
    D 36 Correct Answer Incorrect Answer

    Solution

    We know that a number is divisible by 3 only when the sum of its digits is also divisible by 3. So,
    2 + 4 + 8 + x + 7 + 3 = (24 + x) should be divisible by 3 So, possible values of x = 0, 3, 6, 9 Maximum possible value of x = 9 So, required value
    = 4 × 9
    = 36

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