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      Question

      If 59x284 is a six-digit number that is divisible by 3,

      then find the maximum value of 6x.
      A 42 Correct Answer Incorrect Answer
      B 30 Correct Answer Incorrect Answer
      C 48 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,
      5 + 9 + x + 2 + 8 + 4 = (28 + x) should be divisible by 3 So, possible values of x = 2, 5, 8 Maximum possible value of x = 8 So, required value
      = 6 ├Ч 8
      = 48

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