Question

Let $A=\{x|x$ $\in$ $N$, $x$ is a multiple of 2$\}$
$B=\{x|x$ $\in$ $N$, $x$ is a multiple of 5$\}$
$C=\{x|x$ $\in$ $N$, $x$ is a multiple of 10$\}$
The set $(A\cap B)\cap C$ is equal to:

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

Answer 1

The correct option is D $C$

Given A = $\{2,4,6,8,10,12,14,...\}$

B = $\{5,10,15,20,25,...\}$

C = $\{10,20,30,40,...\}$

$\Rightarrow$$A\cap B$ = $\{10,20,30,...\}$

($A\cap B$) $\cap C=$ $\{10,20,30,...\}$ = C