In a Boolean Algebra $B$,for all $x, y \in B$,$x \wedge (x \vee y)$ is equal to

Which of the following is $NOT$ equivalent to $p \rightarrow q$?

Find the component statements of the following and check whether they are true or not.
$A$ square is a quadrilateral and its four sides are equal.

$\sim[(p \vee \sim q) \rightarrow (p \wedge \sim q)] \equiv$

Consider the following statements:
$A$ : Rishi is a judge.
$B$ : Rishi is honest.
$C$ : Rishi is not arrogant.
The negation of the statement "if Rishi is a judge and he is not arrogant,then he is honest" is

The negation of the statement "If a number is divisible by $15$,then it is divisible by $5$ and $3$" is: