Question

If $p$ and $q$ are two statement then $(p\leftrightarrow \sim q)$ is true when

• A. $p$ and $q$ both are true
• B. $p$ and $q$ both are false
• C. $p$ is false and $q$ is true
• D. None of these

Answer 1

Answer: (C)

$p$ is false and $q$ is true

The truth table for the statement is as under

$p$	$q$	$\sim q$	$(p\leftrightarrow \sim q)$
T	T	F	F
T	F	T	T
F	T	F	T
F	F	T	F

Hence option 'C' is the correct choice.