Statements: All squares are quadrilaterals. Some quadrilaterals are not squares. Conclusion: Some quadrilaterals are squares. This conclusion is
Correct answer: A. valid
- A. valid
- B. invalid
- C. contradictory
- D. irrelevant
Explanation
If all squares are quadrilaterals and squares exist, then some quadrilaterals must be squares, which is a valid conversion of a universal affirmative into a particular one. The second premise adds that not every quadrilateral is a square, which is consistent rather than contradictory. Both statements can be true at once.
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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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