Question 35

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 :

Solution
  • (A) Some suitcases are bags:
    Since some bags are purses (from Statement 1), and all purses are containers (Statement 2), and all containers are suitcases (Statement 3), this logically means that some of the bags, through purses, will also be suitcases. Therefore, Conclusion (A) is true.
  • (B) All purses are bags:
    The statement "some bags are purses" does not imply that all purses are bags. Thus, Conclusion (B) does not follow from the given statements.
  • (C) All purses are suitcases:
    Since all purses are containers and all containers are suitcases, it follows logically that all purses are suitcases. Therefore, Conclusion (C) is true.
  • (D) Some containers are purses:
    Since all purses are containers, it follows that some containers (specifically, purses) are indeed purses. Therefore, Conclusion (D) is true as well.

Thus, the correct conclusions are (A), (C), and (D).


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