Let $p$ and $q $ stand for the statement $"2 × 4 = 8" $ and $"4$ divides $7"$ respectively. Then the truth value of following biconditional statements

$(i)$ $p \leftrightarrow  q$ 

$(ii)$ $~ p \leftrightarrow q$

$(iii)$ $~ q \leftrightarrow p$

$(iv)$ $~ p \leftrightarrow ~ q$

Dual of $(x \vee y) \wedge (x \vee 1) = x \vee (x \wedge y) \vee y$ is

If the truth value of the statement $p \to \left( { \sim q \vee r} \right)$ is false $(F)$, then the truth values of the statement $p, q, r$ are respectively

The Boolean expression $\left(\sim\left(p^{\wedge} q\right)\right) \vee q$ is equivalent to

Contrapositive of the statement 'If two numbers are not equal, then their squares are not equal', is

If $p \Rightarrow (q \vee r)$ is false, then the truth values of $p, q, r$ are respectively