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

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Question

(C) Given truth values: $p = T$, $q = F$, $r = T$.$(A)$ $[q \land (p 	o q)] 	o p = [F \land (T 	o F)] 	o T = [F \land F] 	o T = F 	o T = T$.$(B)

Vedclass · Accepted Answer

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

Vedclass · Answer

(C) Given truth values: $p = T$, $q = F$, $r = T$.$(A)$ $[q \land (p 	o q)] 	o p = [F \land (T 	o F)] 	o T = [F \land F] 	o T = F 	o T = T$.$(B)$ $(p \land q) 	o (q \lor \sim p) = (T \land F) 	o (F \lor \sim T) = F 	o (F \lor F) = F 	o F = T$.$(C)$ $[(\sim p \lor q) \land \sim r] \leftrightarrow p = [(\sim T \lor F) \land \sim T] \leftrightarrow T = [(F \lor F) \land F] \leftrightarrow T = [F \land F] \leftrightarrow T = F \leftrightarrow T = F$.$(D)$ $(p \land q) \lor (\sim q \lor r) = (T \land F) \lor (\sim F \lor T) = F \lor (T \lor T) = F \lor T = T$.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

Consider the statement "The match will be played only if the weather is good and the ground is not wet". Select the correct negation from the following:

Statement-$I$: $\sim (p \leftrightarrow q)$ is equivalent to $(p \wedge \sim q) \vee (q \wedge \sim p)$.
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The statement $(P$ $\Rightarrow Q) \wedge (R$ $\Rightarrow Q)$ is logically equivalent to:

Let $\Delta, \nabla \in \{\wedge, \vee\}$ be such that $( p \rightarrow q ) \Delta ( p \nabla q )$ is a tautology. Then

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