Question

If A, B and C are three sets such that $A\cap B=A\cap CandA\cup B=A\cup C$, then

• A. A = C
• B. B = C
• C. $A\cap B=\varphi$
• D. A = B

Answer 1

The correct option is B

B = C

We solve this question by visualizing using Venn Diagram. We will find that B=C is the only case where both the given conditions will be correct.