Conditional Statements

Converse of the statement 'If $x$ is an odd number, then $x$ is prime' is

$p$: If a cylinder is right circular cylinder then its volume is $\frac{1}{3}\pi r^{2}h$.

Contrapositive of statement $p$ is

The contrapositive of the statement "If I wear the mask, then I will be safe from corona" is

The contrapositive of $p\to (m\vee n)$ is

Negation of contrapositive of $p\to q$ is

Which of the following option is incorrect?

The sum of the two sides of a triangle is greater than the third side.

The mathematical statements for the given sentence is

On multiplying an integer by $1$ we will get the same integer.

The mathematical statement for the given sentence is

If $p: 2$ is an even number, $q: 2$ is a prime number, $r: 2+2=2^2$, then the symbolic statement $p\Rightarrow (q\vee r)$ means

$~p\wedge q$ is logically equivalent to

The contrapositive of the conditional "If Gopal works hard, then he gets a first class" is

Negation of statement $\left(p\to ~q\right)$ is :-

The negation of $p\to \left(~p\vee q\right)$ is

The negation of $p\to \left(~p\vee q\right)$ is

The contrapositive of the following statement, "If the side of a cube doubles, then its volume becomes eight times" is

What is the conclusion in the given conditional statement : $\forall x\in Z$ if $x>0$ then $x\in N$?

What is the hypothesis in the given conditional statement : $\forall x\in R$ if $x^2\in Z$ then $x\in Z$?

What is the hypothesis in the given conditional statement "$\forall x\in Z$ if $x>0$, then $x\in N$"?

What is the hypothesis in the conditional statement 'if $x=2;$ then $x^2=4$'?

Which of the following is the contrapositive of the statement “If the two lines are parallel, then they do not intersect in the same plane”.