Practicing Success

Target Exam

CUET

Subject

Mathematics

Chapter

Sets

Question:

$A=\{1,2,3\}, B=\{2,3,4\}, C=\{2,3,5\}, D=\{1,3,5,7\}$. Find $(A∪B) ∩ (C∪D)$.

Options:

A

B

C

D

Correct Answer:

A

Explanation:

The correct answer is Option (1) → A

Here, $A=\{1,2,3\}, B=\{2,3,4\}, C=\{2,3,5\}, D=\{1,3,5,7\}$

$A∪B=\{1,2,3\}∪\{2,3,4\} = \{1,2,3,4\}$ and

$C∪D=\{2,3,5\}∪\{1,3,5,7\} = \{1,2,3,5,7\}$

$(A∪B) ∩ (C∪D) = \{1,2,3,4\} ∩ \{1,2,3,5,7\} = \{1,2,3\} = A$.