Question

If $p : 2$ plus $3$ is five and $q $ : Delhi is the capital of India < are two statements, then the statement "Delhi is the capital of India and it is not that $2$ plus $3$ is five" is

• A. $\sim p \vee q$
• B. $\sim p \wedge q$
• C. $ p \wedge \sim q$
• D. $ p \vee \sim q$
• E. $\sim p \wedge\sim q$

Answer 1

Answer: (B)

Given,
$p: 2$ plus 3 is five
and $q:$ Delhi is the capital of India.
So, "Delhi is the capital of India and it is not that 2 plus 3 is five" represents a logical statement which is $\sim p \wedge q$