Statements: No moon is star. Some stars are comets. Conclusions: I. Some comets are moons. II. No comet is moon. III. Some stars are not moons
Correct answer: C. Only III
- A. None
- B. Only II
- C. Only III
- D. I and III
Explanation
To determine which conclusions logically follow from the given statements, consider the relationships:1. 'No moon is star' establishes that moons and stars are completely separate categories.2. 'Some stars are comets' indicates an overlap between stars and comets.Conclusion I, 'Some comets are moons,' cannot be deduced as there is no direct relationship between comets and moons provided in the statements.Conclusion II, 'No comet is moon,' cannot be definitively concluded because the statements do not provide enough information about the relationship between comets and moons.Conclusion III, 'Some stars are not moons,' is a valid conclusion because if no moon is a star, then the stars represented in the overlap with comets are not moons.
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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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