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      Question

      In a talent hunt exam, the passing marks are fixed at 55%.

      Marks obtained by ‘D’ are 7% less than passing marks, and ‘E’ scores 22% marks less than D. What percent less (up to 2 decimal places) than the sum of D’s and E’s marks should F obtain to pass the exam at the borderline?
      A 39.58% Correct Answer Incorrect Answer
      B 20.25% Correct Answer Incorrect Answer
      C 35.33% Correct Answer Incorrect Answer
      D 42.86% Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the maximum marks = 100x

      Passing marks = 55x

      D’s score = (55x)(1 – 0.07) = 51.15x

      E’s score = (51.15x)(1 – 0.22) = 39.89x

      Sum of the scores of ‘D’ and ‘E’ = 51.15x + 39.89x = 91.04x

      Required percentage = {(91.04x – 55x)/91.04x} × 100 = 39.58%

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