Question

In a school, there are three types of games to be played.

Some of the students play two types of games, but none play all three games.

Which Venn diagrams can justify the above statements.

• A. $P$ and $R$
• B. $P$ and $Q$
• C. None of these
• D. $Q$ and $R$

Answer 1

The correct option is C

None of these

Explanation for the correct option:

Let the types of games be denoted as $A,B,C$.

In all the given Venn diagrams we can observe that there is at least one region where all $A,B,C$ intersect i.e. $A\cap B\cap C$

Thus none of the given Venn diagrams represents the condition ‘Some of the students play two types of games, but none play all three games’

Hence, the correct option is option(C) i.e. None of these