Which of the following is a contradiction

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(a) $(p \wedge q) \wedge (\sim(p \vee q))$ is a contradiction.


	
		
			
			$p$
			
			
			$q$
			
			
			$p \wedge q$

Vedclass · Accepted Answer

$(p \wedge q) \wedge \sim (p \vee q)$

Vedclass · Answer

(a) $(p \wedge q) \wedge (\sim(p \vee q))$ is a contradiction.


	
		
			
			$p$
			
			
			$q$
			
			
			$p \wedge q$
			
			
			$p \vee q$
			
			
			$\sim (p \vee q)$
			
			
			$(p\wedge q)\ \wedge \sim(p\vee q)$
			
		
		
			
			$T$
			
			
			$T$
			
			
			$T$
			
			
			$T$
			
			
			$F$
			
			
			$F$
			
		
		
			
			$T$
			
			
			$F$
			
			
			$F$
			
			
			$T$
			
			
			$F$
			
			
			$F$
			
		
		
			
			$F$
			
			
			$T$
			
			
			$F$
			
			
			$T$
			
			
			$F$
			
			
			$F$
			
		
		
			
			$F$
			
			
			$F$
			
			
			$F$
			
			
			$F$
			
			
			$T$
			
			
			$F$

Similar Questions

Which of the following is not logically equivalent to the proposition : “A real number is either rational or irrational”.

Let $p, q, r$ denote arbitrary statements. Then the logically equivalent of the statement $p\Rightarrow (q\vee r)$ is

$( S 1)( p \Rightarrow q ) \vee( p \wedge(\sim q ))$ is a tautology $( S 2)((\sim p ) \Rightarrow(\sim q )) \wedge((\sim p ) \vee q )$ is a Contradiction. Then

$(p\; \wedge \sim q) \wedge (\sim p \vee q)$ is

The Boolean expression $(p \wedge \sim q) \Rightarrow(q \vee \sim p)$ is equivalent to: