Question:
Given the following two statements:
$\left(S_{1}\right):(q \vee p) \rightarrow(p \leftrightarrow \sim q)$ is a tautology.
$\left(S_{2}\right): \sim q \wedge(\sim p \leftrightarrow q)$ is a fallacy.
Then :
Correct Option: , 3
Solution:
Let TV(r) denotes truth value of a statement $\mathbf{r}$.
Now, if $\mathrm{TV}(\mathrm{p})=\mathrm{TV}(\mathrm{q})=\mathrm{T}$
$\Rightarrow \mathrm{TV}\left(\mathrm{S}_{1}\right)=\mathrm{F}$
Also, if $T V(p)=T \& T V(q)=F$
$\Rightarrow \mathrm{TV}\left(\mathrm{S}_{2}\right)=\mathrm{T}$