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:
All balls are fans.
No fan is a player.
Some players are wickets.
Conclusions:
I. Some players are fans.
II. Some wickets are balls.
III. Some fans are balls.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. Only conclusion III follows.
The least possible Venn Diagram for the given statements is drawn below:
Conclusions:
I. Some players are fans → False (It is possible but no definite conclusion can be drawn.)
II. Some wickets are balls → False (It is possible but no definite conclusion can be drawn.)
III. Some fans are balls → True (As all balls are fans, so, some fans are balls is also true.)
Hence, Only conclusion III follows.