1)

Which of the following statement pattern is a tautology?


A) $p \vee (q\rightarrow p)$

B) $\sim q\rightarrow \sim p$

C) $(q\rightarrow p)\vee (\sim p\leftrightarrow q)$

D) $p \wedge \sim q$

Answer:

Option C

Explanation:

The truth table is given as 

2062021537_m4.PNG

$\therefore$ $(q\rightarrow p)\vee (\sim p\leftrightarrow q)$ statement pattern is a tautology