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

Answer 1

The correct option is B

$~p\wedge q$

Explanation for the correct option.

Given information $p:$ $2$ plus $3$ is five.

$q:$Delhi is the capital of India.

Logical statement: Any statement that infers a new fact about something mathematical from given information is a logical statement.

Here, the statement “Delhi is the capital of India and it is not that$2$ plus $3$ is five” is a logical statement hence $~p\wedge q$ is true.

Therefore, option B is correct.