In a school, there are three types of games to be played. Some of the students play two types of games, but…

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?

  1. P and Q
  2. P and R
  3. Q and R
  4. None of these

Solution

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.

Asked in: JEE Main 2021 (17 Mar Shift 1)

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