Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: No actor is an engineer. All engineers are magicians. Conclusions: I. No magician is an engineer. II. Some magicians are engineers.
Two statements are given, followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: No actor is an engineer. All engineers are magicians. Conclusions: I. No magician is an engineer. II. Some magicians are engineers.
AOnly conclusion I follows
BBoth conclusions follow
CEither conclusion I or II follows
DOnly conclusion II follows
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correct answer is: option d : Only conclusion II follows
Explanation: The statements establish a relationship between actors, engineers, and magicians. Let's analyze each conclusion:
- Conclusion I: No magician is an engineer. This conclusion is incorrect. The statement "All engineers are magicians" implies that engineers are a subset of magicians. Therefore, some magicians *must* be engineers.
- Conclusion II: Some magicians are engineers. This conclusion is correct. Since all engineers are magicians, it directly follows that at least some magicians are engineers. This can be visualized with a Venn diagram where the 'Engineers' circle is entirely within the 'Magicians' circle.
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