Question

If $A=\{2,3,4,8,10\},$ $B=\{3,4,5,10,12\},$ $C=\{4,5,6,12,14\}$, then $(A\cup B)\cap (A\cup C)$

• A. $\{2,3,4,5,8,10,12\}$
• B. $\{2,4,8,10,12\}$
• C. $\{3,8,10,12\}$
• D. $\{2,8,10\}$

Answer 1

The correct option is A $\{2,3,4,5,8,10,12\}$

$A\cup B=\{2,3,4,5,8,10,12\}$

$A\cup C=\{2,3,4,5,6,8,10,12,14\}$

Hence

$(A\cup B)\cap (A\cup C)=\{2,3,4,5,8,10,12\}$

Hence the correct option is A.