Question

If $U=\text{set of the first 6 prime numbers}$ and $A=\text{set of even prime numbers}$, then $A^{\prime }=$

• A. $\{3,5,7,11,13\}$
• B. $\left\{2\right\}$
• C. $\{2,3,5,7\}$

Answer 1

The correct option is A $\{3,5,7,11,13\}$

Set of first six prime numbers are $U=\{2,3,5,7,11,13\}$.
The only even prime number is $A=\left\{2\right\}.$
$\Rightarrow A^{\prime }=U-A$
$\Rightarrow A^{\prime }=\{2,3,5,7,11,13\}-\left\{2\right\}$
$\Rightarrow A^{\prime }=\{3,5,7,11,13\}$