Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
All flowers are beautiful.
V aidehi is beautiful.
Conclusions:
I. V aidehi is a flower.
II. Some beautiful are flowers.
Correct Answer :
Only conclusion II follows.
Solution :
To determine which of the conclusions logically follow from the given statements, we can analyze the relationships using Venn diagrams or logical set theory.
Step 1: Analyze the Statements
1. "All flowers are beautiful."
This statement means that the set of "Flowers" is entirely contained within the set of "Beautiful things". Let represent flowers and represent beautiful things. Thus, .
2. "Vaidehi is beautiful."
This statement indicates that Vaidehi is a member of the set of "Beautiful things" (). However, it does not specify whether Vaidehi is inside or outside the subset of "Flowers" ().
Step 2: Evaluate the Conclusions
- Conclusion I: "Vaidehi is a flower."
Since Vaidehi belongs to the set of beautiful things, she could lie inside the "Flowers" region or outside it. Because there is no definite information linking Vaidehi to the set of flowers, this conclusion does not logically follow.
- Conclusion II: "Some beautiful are flowers."
Since all flowers are beautiful, it implies that the intersection of the set of flowers and the set of beautiful things is non-empty (assuming flowers exist). Therefore, at least some members of the set of "Beautiful things" are also "Flowers". Thus, this conclusion logically follows.
Therefore, only conclusion II follows.
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