Question

If $p$ and $q$ are two statements, then $(p\wedge q)\vee (q\iff p)$ is

• A. Tautology
• B. Contradiction
• C. Neither tautology nor contradiction
• D. Either tautology or contradiction

Answer 1

The correct option is C Neither tautology nor contradiction

By truth table

$p$	$q$	$(p\wedge q)$	$\sim (p\wedge q)$	$q\iff p$	$\sim (q\iff p)$	$\sim (p\wedge q)\vee \sim (q\iff p)$
T	T	T	F	T	F	F
T	F	F	T	F	T	T
F	T	F	T	F	T	T
F	F	F	T	T	F	T

It is clear that the given statement is neither tautology nor contradiction.