Statements: All men are mortal. No immortal is man. Conclusions: I. All mortals are men. II. No immortal is mortal. III. Some mortals are men
Correct answer: C. Only II and III
- A. Only III
- B. I and II
- C. Only II and III
- D. None
Explanation
The correct answer is C: Only II and III. Conclusion II is directly supported by the statement 'No immortal is man,' which implies 'No immortal is mortal.' Conclusion III is valid because 'All men are mortal' implies that at least some mortals could be men. Conclusion I is incorrect because 'All mortals are men' is not necessarily true; the statement only specifies that all men are mortal, not vice versa.
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About Logical Deductions
Logical deductions require conclusions to be drawn from stated facts, conditions and relationships without adding outside information. The work includes handling all, some and none statements, necessary and sufficient conditions, ordering restrictions, true or false conclusions, and the difference between what must be true and what could be true.
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