Direction: Three statements are given followed by two conclusions numbered I and II. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements.
Statements:
I: All mathematicians are logical thinkers.
II: Some logical thinkers are scientists.
III: Some scientists are fools.
Conclusions:
I: Some scientists are not fools.
II: Some logical thinkers are not scientists.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. Neither conclusion I nor II follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some scientists are not fools → False (It is possible, as some scientists are logical thinkers also.)
II. Some logical thinkers are not scientists → False (It is possible, as some logical thinkers are mathematicians.)