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      Question

      If 'p' is subtracted from 18, 24,

      16, and 12, the resulting numbers will be in proportion. Find the value of 'p'.
      A 19.5 Correct Answer Incorrect Answer
      B 12.8 Correct Answer Incorrect Answer
      C 16.8 Correct Answer Incorrect Answer
      D None of these Correct Answer Incorrect Answer

      Solution

      ATQ, (18-p)/(24-p) = (16-p)/(12-p) Or, (18 - p )(12 - p) = (16 - p)(24 - p) Or, 216 - 18p - 12p + p2 = 384 - 16p - 24p + p2 Or, 216 - 30p = 384 - 40p Or, 216 - 384 = - 40p + 30p Or, 10p = 168 Or, p = 16.8

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