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      Question

      If 519x238y is divisible by 72, then find (2x -

      4y).
      A -2 Correct Answer Incorrect Answer
      B 25 Correct Answer Incorrect Answer
      C -8 Correct Answer Incorrect Answer
      D 14 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Divisibility by 8: Last 3 digits = 38y

      Try y = 4 โ†’ 384 รท 8 = 48 โœ…

      Now check sum for divisibility by 9:

      5 + 1 + 9 + x + 2 + 3 + 8 + 4 = (32 + x)

      x = 4 โ†’ 36 โœ…

      Required value = (2 ร— 4 - 4 ร— 4) = (8 - 16) = -8

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