Question

The venn diagram shows the sets $\xi ,P,Q$ and $R$. Which of the following is not true?

• A. $P\cap Q\ne \varphi$
• B. $R\subset Q$
• C. $(P\cap R)\subset Q$
• D. $(P\cap Q)=R$

Answer 1

The correct option is D $(P\cap Q)=R$

Option A: $P\cap Q\ne \varphi$. It is true because there is a common part between P and Q as shown in the venn diagram.

Option B: $R\subset Q$ i.e. Set R is a subset of Q. Hence its true.

Option C: $(P\cap R)\subset Q$. It is correct because $(P\cap R)$ is present inside the Q.

Option D: $(P\cap Q)=R$. It is false because $(P\cap Q)$ contains R as well as other parts also.