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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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