Question

Let $U$ be the universal set and $A\cup B\cup C=U$. Then, $\{(A-B)\cup (B-C)\cup (C-A){\}}^{\prime }$ is equal to

• A. $A\cup B\cup C$
• B. $A\cup (B\cap C)$
• C. $A\cap B\cap C$
• D. $A\cap (B\cup C)$

Answer 1

Answer: (C)

It is clear from the Venn diagram,

$(A-B)\cup (B-C)\cup (C-A)$ represents shaded region.
$\therefore [(A-B)\cup (B-C)\cup (C-A){]}^{\prime }$ represents unshaded region, which is $A\cap B\cap C$.