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      Question

      Quantity I: In a class, 25 students failed in Science,

      15 students failed in Math, and 8 students failed in both subjects. If there are 60 students in total, how many passed in both subjects? Quantity II: In another class, 20 students failed in English, 12 students failed in History, and 5 students failed in both subjects. If the total number of students is 50, how many students passed in both subjects?
      A Quantity I < Quantity II Correct Answer Incorrect Answer
      B Quantity I ≥ Quantity II Correct Answer Incorrect Answer
      C Quantity I ≤ Quantity II Correct Answer Incorrect Answer
      D Quantity I = Quantity II Correct Answer Incorrect Answer
      E Quantity I > Quantity II Correct Answer Incorrect Answer

      Solution

      Quantity I: Number of students failing at least one subject = 25 + 15 - 8 = 32 Number of students passing both subjects = 60 - 32 = 28 Quantity II: Number of students failing at least one subject = 20 + 12 - 5 = 27 Number of students passing both subjects = 50 - 27 = 23 Answer: E (Quantity I > Quantity II)

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