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
Prev Next
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'.

More from this Chapter

NUMERICAL
Let $\mathrm{A}=\{-4,-3,-2,0,1,3,4\}$ and $\mathrm{R}=\left\{(a, b) \in \mathrm{A} \times \mathrm{A}: b=|a|\right.$ or $\left.b^{2}=a+1\right\}$ be a relation on $\mathrm{A}$. Then the minimum number of elements, that must be added to the relation $\mathrm{R}$ so that it becomes reflexive and symmetric, is __________
MCQ_SINGLE
Let $R = \{(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)\}$ be a relation on the set $A = \{3, 6, 9, 12\}$. The relation is :
NUMERICAL
The number of relations on the set A={1,2,3}, containing at most 6 elements including (1,2) which are reflexive and transitive but not symmetric, is ________.
NUMERICAL
Let $A=\{1,2,3, \ldots \ldots \ldots \ldots, 100\}$. Let $R$ be a relation on $\mathrm{A}$ defined by $(x, y) \in R$ if and only if $2 x=3 y$. Let $R_1$ be a symmetric relation on $A$ such that $R \subset R_1$ and the number of elements in $R_1$ is $\mathrm{n}$. Then, the minimum value of $\mathrm{n}$ is _________.
NUMERICAL
Let $A=\{0,3,4,6,7,8,9,10\}$ and $R$ be the relation defined on $A$ such that $R=\{(x, y) \in A \times A: x-y$ is odd positive integer or $x-y=2\}$. The minimum number of elements that must be added to the relation $R$, so that it is a symmetric relation, is equal to ____________.
View All Questions