- QUESTION
Take the given statements to be true even if they seem to be at variance from commonly known facts. Which conclusion would follow on the basis of given statements. Statement:
‘Some bags are purses’, ‘All purses are containers’ and ‘All containers are suitcases’.
Conclusions:
(A) Some suitcases are bags
(B) All purses are bags
(C) All purses are suitcases
(D) Some containers are purses
Choose the correct answer from the options given below:
A)(A), (B) and (C) only
B) (B) and (D) only
C)(A) and (C) only
D)(A), (C) and (D) only
Explanation
(D)
1. **Some bags are purses**: This statement indicates that there is at least one bag that is also a purse.
2. **All purses are containers**: This statement implies that every purse is a container.
3. **All containers are suitcases**: This statement suggests that every container is a suitcase.
Now,:
(A) Some suitcases are bags:
– This conclusion can be inferred from the given statements. If all containers are suitcases and some bags are containers, then there must be some bags that are also suitcases. So, conclusion (A) is correct.
(B) All purses are bags:
– This conclusion cannot be inferred from the given statements. While it is true that some bags are purses, it does not necessarily mean that all purses are bags. Hence, conclusion (B) is incorrect.
(C) All purses are suitcases:
– This conclusion cannot be inferred from the given statements. Although all containers are suitcases and all purses are containers, it doesn’t imply that all purses are suitcases. Hence, conclusion (C) is incorrect.
(D) Some containers are purses:
– This conclusion can be inferred from the given statements. Since all purses are containers, and some bags are purses, it follows that some containers are purses. So, conclusion (D) is correct.
Therefore, the correct answer is option:
D) (A), (C), and (D) only
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