Class JEE Mathematics Sets, Relations, and Functions Q #1049
KNOWLEDGE BASED
APPLY
4 Marks 2021 JEE Main 2021 (Online) 17th March Morning Shift MCQ SINGLE
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 the three games. Which Venn diagrams can justify the above statement?
(A) Q and R
(B) None of these
(C) P and R
(D) P and Q
Correct Answer: B
Explanation
The question states that none of the students play all three games. This means that the intersection of all three sets (circles) in the Venn diagram must be empty. Observing the provided Venn diagrams (P, Q, and R), we see that in each case, there is an intersection between all three circles. Thus, none of the diagrams satisfy the condition that no student plays all three games.

Therefore, the correct answer is 'None of these'.