If (p : 2) plus (3) is five and (q ) : Delhi is the capital... | Mathematics | SolveeIt | Solveeit

Today, August 18

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

$p \vee \sim q$

Answer

$\sim p \wedge q$

Explanation

Solution

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 $\sim p \wedge q$