Conditional Statements

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?

Which of the following is the inverse of the proposition : "If a number is a prime, then it is odd"?

$~p\wedge q$ is logically equivalent to

If $p:$A man is happy

$q:$A man is rich

Then, the statement, "If a man is not happy, then he is not rich" is written as

‘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 $\mathrm{q}$, the contrapositive of the implication $(\mathrm{p}\to \mathrm{q})$ 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,

For two statements $\mathrm{p}$ and $\mathrm{q}$, if the truth value of the statement $~\mathrm{p} \vee \mathrm{q}\to \mathrm{p}$ is F, then

For two statements $\mathrm{p}$ and $\mathrm{q}$, if the truth value of $\mathrm{p}\to \mathrm{q}$ is F, which of the following statements has the truth value F ?

If for two statements $\mathrm{p}$ and $\mathrm{q}$, the truth value of $\mathrm{p}\to \mathrm{q}$ is F, then the truth values of $\mathrm{q}$ and $\mathrm{p}$ are