Consider the following two statements :
$P :$ lf $7$ is an odd number, then $7$ is divisible by $2.$
$Q :$ If $7$ is a prime number, then $7$ is an odd number.
lf $V_1$ is the truth value of the contrapositive of $P$ and $V_2$ is the truth value of contrapositive of $Q,$ then the ordered pair $(V_1, V_2)$ equals
$(F, F)$
$(F, T)$
$(T, F)$
$(T, T)$
The expression $ \sim ( \sim p\, \to \,q)$ is logically equivalent to
Which one of the following Boolean expressions is a tautology?
The statement $(p \Rightarrow q) \vee(p \Rightarrow r)$ is NOT equivalent to.
$(p\rightarrow q) \leftrightarrow (q \vee ~ p)$ is
The statement $\sim[p \vee(\sim(p \wedge q))]$ is equivalent to