JEE Main 2021MathematicsSets and RelationsEasyMCQ

JEE Main 2021Sets and Relations Question with Solution

JEE Main 2021 (17 Mar Shift 1)

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 the three games. Which Venn diagrams can justify the above statement?

Choose an option

Show full solutionCorrect option: D
Correct answer
DNone of these

Step-by-step explanation

In P, the shaded region is lying in all the circles. It means some students play all the games.

In Q, the shaded region is lying in all the circles. It means some students play all the games.

In R, the shaded region is lying in all the circles. It means some students play all the games.

Hence, none of the Venn diagrams justify the statement.

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About this question

This is a previous-year question from JEE Main 2021, covering the Sets and Relations chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.