Question

In each question below are given two statements followed by four conclusions numbered I, II, III and IV. You have to take the two given statements to be true even if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows/fallow from the two given statements disregarding commonly known facts.

Statements
All houses are rooms.
All rooms are windows.

Conclusions
I. All windows are rooms.
II. All rooms are houses.
III. All houses are windows.
IV. Some windows are houses.

• A. None follows
• B. Only I and II follow
• C. Only III and IV follow
• D. Only II follows

Answer 1

The correct option is C Only III and IV follow

All houses are rooms.
All rooms are windows.
$A+A\Rightarrow A$-type of conclusion
All houses are windows.
This is conclusion III.
Conclusion IV is the converse of this conclusion.