Directions: In the question below are given some statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions definitely follows from the given statements, disregarding commonly known facts.
Statements:
All shirts are garments
Only a few garments are jackets
No jacket is trousers
Conclusions:
I. All garments can be trousers
II. Some shirts are trousers
Correct Answer :
Neither conclusion I nor II follows
Solution :
Correct Answer: Neither conclusion I nor II follows
Step-by-step Explanation:
1. Analyze the Given Statements:
• Statement 1: "All shirts are garments" — This means the entire set of Shirts lies inside the set of Garments.
• Statement 2: "Only a few garments are jackets" — This implies two conditions: (i) Some Garments are Jackets, and (ii) Some Garments are NOT Jackets.
• Statement 3: "No jacket is trousers" — This means there is no intersection between the set of Jackets and the set of Trousers.
2. Evaluate Conclusion I: "All garments can be trousers"
From Statement 2, we know that a part of Garments is always overlapping with Jackets. From Statement 3, no Jacket can ever be Trousers. Therefore, the portion of Garments that are Jackets can never be Trousers. Consequently, it is impossible for all garments to be trousers. Thus, Conclusion I does not follow.
3. Evaluate Conclusion II: "Some shirts are trousers"
Shirts are inside Garments, but there is no direct or definite relationship given between Shirts and Trousers. While it is possible for shirts to overlap with trousers, it is not a definite certainty. Therefore, Conclusion II does not definitely follow.
Conclusion:
Since neither Conclusion I nor Conclusion II definitely follows, the correct option is Neither conclusion I nor II follows.
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