The number of choices of $\Delta \in\{\wedge, \vee, \Rightarrow, \Leftrightarrow\}$, such that $( p \Delta q ) \Rightarrow(( p \Delta \sim q ) \vee((\sim p ) \Delta q ))$ is a tautology, is
$1$
$2$
$3$
$4$
If $p \Rightarrow (q \vee r)$ is false, then the truth values of $p, q, r$ are respectively
Consider the following statements:
$P$ : I have fever
$Q:$ I will not take medicine
$R$ : I will take rest
The statement "If I have fever, then I will take medicine and I will take rest" is equivalent to:
The statement $p \rightarrow (q \rightarrow p)$ is equivalent to
$\sim (p \wedge q)$ is equal to .....
Which of the following statement is a tautology?