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Public Service Entrance Exam (PSEE) · Question

If all 'P' are 'Q' and some 'Q' are 'R', then which of the following statements MUST be true?

Given the premises, there is no definitive conclusion that can be drawn about the relationship between 'P' and 'R'; it's possible some 'P' are 'R' or none are.

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Question: If all 'P' are 'Q' and some 'Q' are 'R', then which of the following statements MUST be true?

Answer options:

  • All 'P' are 'R'.
  • Some 'P' are 'R'.
  • No 'P' are 'R'. ✅ None of the above.

Correct answer: None of the above.

Explanation: Given the premises, there is no definitive conclusion that can be drawn about the relationship between 'P' and 'R'; it's possible some 'P' are 'R' or none are.

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