The conditional $(p \wedge q) ==> p$ is
A tautology
A fallacy $i.e.$, contradiction
Neither tautology nor fallacy
None of these
$\sim (p \vee q) \vee (\sim p \wedge q)$ is logically equivalent to
The contrapositive of the statement "if I am not feeling well, then I will go to the doctor" is
If $p \Rightarrow (\sim p \vee q)$ is false, the truth values of $p$ and $q$ are respectively
Negation of the statement : - $\sqrt{5}$ is an integer or $5$ is irrational is
The contrapositive of the statement "If it is raining, then I will not come", is