Statements: All A are B. No B are C. Conclusion: Some C are A. This conclusion is
Correct answer: B. invalid
- A. valid
- B. invalid
- C. always true
- D. possibly true
Explanation
A is inside B, and B is entirely separate from C, so no A can be C at all, which makes the proposed conclusion the exact opposite of what follows. Using letters rather than familiar words removes the temptation to reason from world knowledge. The valid conclusion here is that no A is C.
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About Syllogisms
Syllogisms use categorical statements such as all, some and no to establish relationships between groups. Questions require checking whether conclusions necessarily follow from the premises, often by mental set relationships or Venn diagrams, and distinguishing valid deductions from conclusions that are merely possible.
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