Free Syllogisms MCQs with Answers
22 Syllogisms MCQs from Analytical and Logical Reasoning, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
22 questions · page 3 of 3
21. Statements: All P are Q. All Q are R. Conclusion: Some R are P. This conclusion is
- A. valid
- B. invalid
- C. contradictory
- D. unrelated
Explanation: The chain places P inside R, and since P is a non empty class, it follows that at least some R are P. This move from a universal to a particular is valid in traditional syllogistic logic, which assumes the classes have members. The stronger claim that all R are P would not follow.
Correct answer: valid22. All daffodils are plants. All plants are living things. Some living things are real. Conclusions: I. All daffodils are living things. II. Some living things are flowers. III. All daffodils are real. Which conclusions follow?
- A. Only I
- B. Only I and II
- C. Only II and III
- D. All follow
Explanation: Daffodils sit inside plants and plants inside living things, so the chain gives conclusion I validly. Conclusion II introduces flowers, a term that appears nowhere in the premises, and conclusion III wrongly assumes the some living things that are real must include the daffodils. A valid conclusion may use only the terms the premises supply.
Correct answer: Only I