A Statement followed by Conclusion-I and Conclusion-II is given below. You have to take the Statement to be true even if it seems to be at variance from the commonly known facts. Read all Conclusions and then decide which of the given Conclusion(s) logically follows/follow from the Statement, disregarding the commonly known facts.
Statement: Some cats are almirahs. Some almirahs are chairs. All chairs are tables.
Conclusion-I: Certainly some almirahs are tables
Conclusion-II: Some cats may not be chairs.
Which one of the following is correct?
Correct Answer :
Both Conclusion-I and Conclusion-II
Solution :
The correct option is Both Conclusion-I and Conclusion-II.
Let us analyze the given statement step-by-step using logical deductions:
Given Statements:
1. Some cats are almirahs.
2. Some almirahs are chairs.
3. All chairs are tables.
Analyzing Conclusion-I: "Certainly some almirahs are tables"
From statement 2, we know that some almirahs are chairs (Almirahs ∩ Chairs ≠ ∅).
From statement 3, we know that all chairs are tables (Chairs ⊆ Tables).
Since every chair is a table, the portion of almirahs that are chairs must also be tables.
Therefore, it is definitely true that some almirahs are tables. Conclusion-I logically follows.
Analyzing Conclusion-II: "Some cats may not be chairs"
Conclusion-II speaks about a possibility ("may not be").
From the given statements, there is no direct relationship specified that forces all cats to be chairs. In fact, we only know that "Some cats are almirahs". It is entirely possible to construct a valid scenario (Venn diagram) where some or all cats are not chairs.
Since a valid scenario exists where some cats are not chairs, the possibility statement "Some cats may not be chairs" holds true. Conclusion-II logically follows.
Hence, both Conclusion-I and Conclusion-II logically follow from the given statements.
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