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Q)

If $\;p\;$ is $T$ and $\;q$ is $F$, then which of the following have the truth value$T$? \[\begin{array}{1 1}(1)p \vee q&(2)\sim p\vee q\\(3)p \vee \sim q&(4)p \wedge\sim q\end{array}\]

\[\begin{array}{1 1}(1)(I),(II),(III)&(2)(I),(II),(IV)\\(3)(I),(III),(IV)&(4)(II),(III),(IV)\end{array}\]

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A)
p is T then $\sim p$ is F
q is T then $\sim q$ is T
$p \vee q$ is T
$ \sim p \vee q$ is F
$p \vee \sim q$ is T
$p \wedge \sim q$ is T
Hence 3 is the correct answer.
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