Using the truth table examine whether $\left[\right(p\vee ~q)\vee (~p\wedge q\left)\right]\wedge r$ is tautology, contradiction or contingency.

Consider the following statements:

$P:$ Ramu is intelligent.

$Q:$ Ramu is rich.

$R:$ Ramu is not honest.

The negation of the statement "Ramu is intelligent and honest if and only if Ramu is not rich" can be expressed as:

Consider the following three statements:

$P:5$ is a prime number

$Q:7$ is a factor of $192$

$R: \mathrm{LCM}$ of $5$ and $7$ is $35$

Then the truth value of which one of the following statements is true?