Question

What does the shaded portion of the Venn diagram given below represent?

• A. $(P\cap Q)\cap (P\cap R)$
• B. $((P\cap Q)-R)\cup ((P\cap R)-Q)$
• C. $((P\cup Q)-R)\cap ((P\cap R)-Q)$
• D. $((P\cap Q)\cup R)\cap ((P\cup Q)-R)$

Answer 1

Answer: (B)

In the given Venn diagram, shaded area between sets $P$ and $Q$ is $(P\cap Q)-R$ and shaded area between $P$ and $R$ is $(P\cap R)-Q$ So, both the shaded area is union of these two area and is represented by $((P\cap Q)-R)\cup ((P\cap R)-Q)$