Question

Statements are given followed by two conclusions. You have to consider the statements to be true even If they seem to be at variance from commonly known facts. You have to decide which of the given conclusions if any, follow the given statement.

Statements
No man is intelligent.
All women are intelligent.

Conclusions
I. No man is a woman.
II. No woman is a man.

• A. Only I follows
• B. Only II follows
• C. Both I & II follow
• D. Neither of them follows
• E. Either I or II may follow

Answer 1

The correct option is C Both I & II follow

The first premise is universal negative (E- type).
The second Premise is universal affirmative (A-type).
We can align the premises by converting the first premise and changing their order. Thus,
All women are intelligent.
No intelligent is a man.
We know that,
$A+E\Rightarrow E$-type conclusion
Thus our derived conclusion would be :
No woman is a man
This is conclusion II.
Conclusion I is the converse of this conclusion.
Therefore, both the conclusions I and II follow.