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?
(a) Only Conclusion-I
(b) Only Conclusion-II
(c) Both Conclusion-I and Conclusion-II
(d) Neither Conclusion-I nor Conclusion-II
Correct Answer: (c) Both Conclusion-I and Conclusion-II
Question from UPSC Prelims 2021 CSAT Paper
Explanation :
Conclusions from Cat, Almirah, Chair Statement
Given Statements:
1. Some cats are almirahs
2. Some almirahs are chairs
3. All chairs are tables
Let’s analyze each conclusion:
Conclusion I: “Some almirahs are tables”
– Some almirahs are chairs (given)
– All chairs are tables (given)
– Therefore, those almirahs that are chairs must also be tables
– This makes Conclusion I logically valid
Conclusion II: “Some cats may not be chairs”
– Some cats are almirahs (given)
– Some almirahs are chairs (given)
– We don’t know if ALL cats are almirahs
– We don’t know if ALL almirahs are chairs
– Therefore, it’s possible that some cats may not be chairs
– This makes Conclusion II logically valid
Answer: Both conclusions I and II logically follow from the given statements.