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      Question

      In a class, 55% of the students are boys, while the

      remaining are girls. If 60% of the boys and 70% of the girls passed an exam, what percentage of the total students did not pass?
      A 35.5% Correct Answer Incorrect Answer
      B 35% Correct Answer Incorrect Answer
      C 36.5% Correct Answer Incorrect Answer
      D 36% Correct Answer Incorrect Answer

      Solution

      Let total students in class = 100x Boys = 55x Girls = 45x passed boys = 60% of 55x = 33x passed girls = 70% of 45x = 31.5x total passed students = 33x+31.5x = 64.5x total failed students = 100x – 64.5x = 35.5x failed percentage of total students = 35.5x/100x Γ— 100 = 35.5%

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