The statement $[p \wedge (q \vee r)] \vee [\sim r \wedge \sim q \wedge p]$ is equivalent to

Consider the statement "The match will be played only if the weather is good and the ground is not wet". Select the correct negation from the following:

Consider the following three statements:
$P: 5$ is a prime number.
$Q: 7$ is a factor of $192$.
$R: \text{L.C.M. of } 5 \text{ and } 7 \text{ is } 35$.
Then,the truth value of which one of the following statements is true?

If $(p \wedge \sim r) \rightarrow (\sim p \vee q)$ has a truth value of $False$,then the truth values of $p, q, r$ are respectively:

Check whether the following sentence is a statement. Give reasons for your answer.
"The sun is a star."

The negation of the proposition "If $2$ is prime,then $3$ is odd" is: