Implications

"If $f\left(2\right)=0$, then $f\left(x\right)$ is divisible by $\left(x-2\right)$" then write the converse and contrapositive of the statement

Combine these pair of statements using "if and only if"

Given that  $p:$ If the sum of the digits of a number is divisible by $3$, then the number is divisible by $3$,and  $q:$ If a number is divisible by $3$, then the sum of its digits is divisible by $3$,  are some pairs of statements.

"If the two lines are parallel, then they do not intersect in the same plane".

Write the converse and contrapositive of the given statement

If $x$ is a prime number, then $x$ is odd.

Write the converse and contrapositive of the given statement

Find the conclusion in the following conditional statement.

If Earth is more closer to Sun, then it is more hotter.

Find the hypothesis in the following conditional statement.

If Earth is more closer to Sun, then it is more hotter.

Find the conclusion in the following conditional statement.

If $x=2$, then $x^2=4$.

Find the hypothesis in the following conditional statement.

If $x=2$, then $x^2=4$.

Find the conclusion in the following conditional statement.

If it came from another planet, then it is an alien.

Find the hypothesis in the following conditional statement.

If it came from another planet, then it is an alien.

Find the conclusion in the following conditional statement.

If you go out, then you must dress properly.

Find the hypothesis in the following conditional statement.

If you go out, then you must dress properly.

Find the conclusion in the following conditional statement.

If it is hot outside, then you must carry an umbrella.

Find the hypothesis in the following conditional statement.

If it is hot outside, then you must carry an umbrella.

If $p\to \left(~p\vee q\right)$ is false, the truth values of $p$ and $q$ are respectively?

‘Three sides $\mathrm{AB}, \mathrm{BC}$ and $\mathrm{CA}$ of a triangle ABC are $3 \mathrm{cm}, 4 \mathrm{cm}$ and $5 \mathrm{cm}$. respectively, in length.’ If this statement is $\mathrm{p}$, then the statement $\mathrm{p}\to \mathrm{q}$ is true when the statement $\mathrm{q}$ is

For two statements $\mathrm{p}$ and $\mathrm{q}$, it is given that the truth value of $(\mathrm{p}\vee ~\mathrm{q} \to \mathrm{p})$) is T; then,

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