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      Question

      The marks scored by a student in three subjects are in

      the ratio 3 : 6 : 2. Student scored an overall aggregate of 55% in the exam. If the maximum marks in each subject are the same, if the passing marks is 33%  in how many subjects did student failed ?
      A One Correct Answer Incorrect Answer
      B Two Correct Answer Incorrect Answer
      C All subjects Correct Answer Incorrect Answer
      D Can't be determined Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the maximum marks in each subject be 100.  ∴ Student's total score = 55% of (100 + 100 + 100) = 0.55(300) = 165  Also, 33% marks in a subject means 0.33(100) = 33 marks Let student have scored 3x, 6x and 2x in the three subjects. ∴ 3x + 6x + 2x = 165 ∴ 11x = 165      x = 15 Hence, marks in the three subjects are 45, 90 and 30 .  Hence, student has scored less than 33 in exactly one subject.

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