$S_1$: If $-7$ is an integer,then $\sqrt{-7}$ is a complex number.
$S_2$: $-7$ is not an integer or $\sqrt{-7}$ is a complex number.

Consider the following statements:
$p$: If voltage increases, then current decreases.
$q$: If voltage does not increase, then current does not decrease.
$r$: If current decreases, then voltage increases.
$s$: If current does not decrease, then voltage does not increase.
Which of the following pairs of statements have the same meaning?

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

The compound statement $p \wedge (\sim p \wedge q)$ is

Are the following pairs of statements negations of each other:
$1$. The number $x$ is a rational number.
$2$. The number $x$ is an irrational number.

If $Statement-I$: If the work is not finished on time,the contractor is in trouble. $Statement-II$: Either the work is finished on time or the contractor is in trouble. Then: