If p, q, r are simple propositions with truth | vedclass

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

Question

(C) Given truth values: $p = T, q = F, r = T$.Step $1$: Evaluate option $(A)$: $[F \land (T 	o F)] 	o T = [F \land F] 	o T = F 	o T = T$.Step $2$:

Vedclass · Accepted Answer

$[(\sim p \lor q) \land \sim r] \leftrightarrow p$

Vedclass · Answer

(C) Given truth values: $p = T, q = F, r = T$.Step $1$: Evaluate option $(A)$: $[F \land (T 	o F)] 	o T = [F \land F] 	o T = F 	o T = T$.Step $2$: Evaluate option $(B)$: $(T \land F) 	o (F \lor \sim T) = F 	o (F \lor F) = F 	o F = T$.Step $3$: Evaluate option $(C)$: $[(\sim T \lor F) \land \sim T] \leftrightarrow T = [(F \lor F) \land F] \leftrightarrow T = [F \land F] \leftrightarrow T = F \leftrightarrow T = F$.Step $4$: Evaluate option $(D)$: $(T \land F) \lor (\sim F \lor T) = F \lor (T \lor T) = F \lor T = T$.Since option $(C)$ results in $F$, it is not a true statement.

If $p, q, r$ are simple propositions with truth values $T, F, T$ respectively, then which of the following is not a true statement?

Similar Questions

The contrapositive of the statement pattern $[p \lor (p \to q)] \to (p \land \sim q)$ is

The statements $p, q$ and $r$ have truth values True, False and False respectively. The truth values of a logical statement $[\sim (p \land \sim q) \lor (q \lor \sim r)]$ and its dual are, respectively.....

What is the identity element for the conjunction $(AND)$ operation in Boolean algebra of logical statements?

Let $p$ and $q$ be two statements. Amongst the following,the statement that is equivalent to $p \to q$ is

Vedclass Test Series

Exam Paper Generator

Online Exam Module