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 :

Accepted Answer

D. - Bags $\cap$ Purses $
eq \emptyset$. - Purses $\subseteq$ Containers $\subseteq$ Suitcases. (A) Since Bags overlap Purses and Purses are inside Suitcases, Some suitcases are bags. (Follows) (B) 'Some bags are purses' does not mean All purses are bags. (Does not follow) (C) All purses are containers and All containers are suitcases $\implies$ All purses are suitcases. (Follows) (D) All purses are containers $\implies$ Some containers are purses. (Follows) Thus, (A), (C), and (D) follow. Hence, Option D is correct.

Syllogism on Bags and Suitcases

Explanation

Practise this under exam conditions