Question

In the following questions, two statements are given followed by two conclusions I and Il. You have to consider the two statements to be true, even if they seem to be at variance from commonly known facts. You are to decide which of the given conclusions can definitely be drawn from the given statements.

Statements
All Americans are English speaking.
No Eskimos are English speaking.

Conclusions
I. No Eskimos are Americans.
II. No English-speakers are Eskimos.

• A. Only I follows
• B. Neither I nor II follows
• C. Only II follows
• D. Both I and II follow
• E. None of the above

Answer 1

The correct option is D Both I and II follow

We can align the premises by converting the second premise.
All Americans are English speaking
No English speakers are Eskimos
We know that,
$A+E\Rightarrow E$ type conclusion
Thus, our derived conclusion would be:
No Americans are Eskimos.
Conclusion I is the converse of the derived conclusion.
Conclusion II is the converse of the second premise.