Question

Statement I The set $A=\{x:x$ is an even prime number greater than 2$\}$ is the empty set.
Statement II The set $B=\{x:x^2=4,x$ is odd $\}$ is not an empty set.

• A. Statement I is true
• B. Statement II is true
• C. Both are true
• D. Both are false

Answer 1

Answer: (A)

2 is the only even prime number. So, $A$ is the empty set. The equation $x^2=4$ is not satisfied by any odd value of $x$. So, $B$ is the empty set.