Q. If $A = \left\{ 1,\ 2,\ 3,\ 4,\ 5 \right\},\ B = \left\{ 2,\ 4,\ 6 \right\},\ C = \{ 3,\ 4,\ 6\}$, then $(A \cup B) \cap C$ is
A) {3, 4, 6}
B) {1, 2, 3}
C) {1, 4, 3}
D) None of these
Explanation
(a)
$\because\ \ \ A \cup B = \left\{ 1,\ 2,\ 3,\ 4,\ 5,\ 6 \right\}$
$\therefore\ \ (A \cup B) \cap C = \left\{ 1,\ 2,\ 3,\ 4,\ 5,\ 6 \right\} \cap \left\{ 3,\ 4,\ 6 \right\}$
$= \{ 3,\ 4,\ 6\}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.