Write the negation of the following statement:
$\sqrt{7}$ is rational.

The negation of the statement "The triangle is an equilateral or isosceles triangle and the triangle is not isosceles and it is right angled" is

Which of the following are pairs of equivalent circuits?

The statement pattern $[p$ $\rightarrow(q$ $\rightarrow p)]$ $\rightarrow[p$ $\rightarrow(p \vee q)]$ is

If the symbolic form of the switching circuit is $[\sim p \vee (p \wedge \sim q)] \vee q$,then the current flows through the circuit only if

$p :$ Suman is brilliant.
$q :$ Suman is rich.
$r :$ Suman is honest.
How can the negation of the statement "Suman is rich if and only if Suman is brilliant and dishonest" be represented?