Question

In each of the questions below are given three statements followed by two conclusions numbered I and II. You have to take the given statements to be true even if they seem to be a variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements
Some shoes are socks.
All socks are sandals.
All sandals are trousers.

Conclusions
I.All trousers are socks.
II. Some sandals are shoes.

• A. Only conclusion I follows
• B. Only conclusion II follows
• C. Either conclusion I or II follows
• D. Neither conclusion I nor II follows
• E. Both conclusions I and II follow.

Answer 1

The correct option is B Only conclusion II follows

Some shoes are socks.
All socks are sandals.
$I+A\Rightarrow I$-type of conclusion
Some shoes are sandals.
Conclusion II is the converse of this conclusion.
All socks are sandals.
All sandals are trousers.
$A+A\Rightarrow A$-type of conclusion
All socks are trousers.
$I+A\Rightarrow I$-type of conclusion
Some wells are rivers.
This is conclusion II.