Question

    If 864x12 is a six-digit number that is divisible by 3,

    then find the maximum value of 8x.
    A 56 Correct Answer Incorrect Answer
    B 64 Correct Answer Incorrect Answer
    C 72 Correct Answer Incorrect Answer
    D 80 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,
    8 + 6 + 4 + x + 1 + 2 = (21 + x) should be divisible by 3 So, possible values of x = 0, 3, 6, 9 Maximum possible value of x = 9 So, required value
    = 8 ├Ч 9
    = 72

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