Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some men are athletes.
No athlete is a singer.
All singers are dancers.
Conclusions:
I. No dancer is an athlete.
II. Some singers are men.
III. Some men are dancers.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. None of the conclusions follow.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. No dancer is an athlete → False (It is possible but no definite conclusion can be drawn as there is no definite relation between dancer and athlete.)
II. Some singers are men → False (It is possible but no definite conclusion can be drawn as there is no definite relation between singer and man.)
III. Some men are dancers → False (It is possible but no definite conclusion can be drawn as there is no definite relation between dancer and man.)
Hence, None of the conclusions follow.