Statements: All players are fit. Some players are champions. Conclusions: I. Some champions are fit. II. All champions are players
Correct answer: D. Only I
- A. None
- B. Only II
- C. Both
- D. Only I
Explanation
To solve this, visualize the relationships using a Venn diagram. The statement 'All players are fit' means that the set of players is entirely within the set of fit individuals. The statement 'Some players are champions' indicates that there is an overlap between players and champions. Therefore, since these players are also fit, it follows that 'Some champions are fit,' making Conclusion I correct.Conclusion II, 'All champions are players,' does not follow because the original statements do not establish that all champions fall within the set of players. Thus, only Conclusion I logically follows from the given statements.
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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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