Question

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

Statements
All stones are hammers.
No hammer is ring.
Some rings are doors.
All doors are windows.

Conclusions
I. Some windows are stones.
II. Some windows are rings.
III. No window is stone.
IV. Some rings are stones.

• A. Only I follows
• B. Only II follows
• C. Only III follows
• D. Only either I or III follows
• E. Only either I or III and II follow

Answer 1

The correct option is E Only either I or III and II follow

All stones are hammers.
No hammer is a ring.
$A+E\Rightarrow E$-type of conclusion
No stone is a ring.
Some rings are doors.
All doors are windows.
$I+A\Rightarrow I$-type of conclusion
Some rings are windows.
Conclusion II is the converse of it.
Conclusions I and III form a complementary pair. Therefore, either I or III follows.