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      Question

      Determine the highest possible value of (x + y) if the

      number '3x725y4' is divisible by 12.
      A 23 Correct Answer Incorrect Answer
      B 15 Correct Answer Incorrect Answer
      C 20 Correct Answer Incorrect Answer
      D 12 Correct Answer Incorrect Answer

      Solution

      ATQ,

      A number is divisible by 12 if it’s divisible by both 3 and 4.

      Check last two digits β€˜y4’.

      β€˜y4’ divisible by 4 β†’ y = 0, 2, 4, 6, 8

      Maximum y = 8

      Now check sum of digits:

      3 + x + 7 + 2 + 5 + 8 + 4 = 29 + x

      29 + x must be divisible by 3 β†’ x = 1, 4, 7

      Maximum x = 7

      So, max (x + y) = 7 + 8 = 15

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