The negation of the statement " $72$ is divisible by $2$ and $3$ " is

For the statement: "If a quadrilateral $ABCD$ is a rhombus,then its opposite sides are parallel",its contrapositive and converse are respectively given by:

Write the component statements of the following compound statement and check whether the compound statement is true or false.
$A$ line is straight and extends indefinitely in both directions.

Consider the following statements.
$p: \text{If } 3^4 > 4^3, \text{then } 3^3 > 4^4$
$q: \text{The roots of the equation } x^2 - 2x + 2 = 0 \text{ are real if and only if Mumbai is in Maharashtra.}$
$r: \text{Statement } p \text{ is true or statement } q \text{ is false.}$
Which of the following has truth value $T$ (true)?

If the truth value of the compound statement $[(p \lor q) \land (q \to r) \land (\sim r)] \to (p \land q)$ is $False$, then the truth values of $p \to q$ and $q \to p$ are respectively......

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