Find the component statements of the following compound statement:
The sky is blue and the grass is green.

Using the words "necessary and sufficient",rewrite the statement "The integer $n$ is odd if and only if $n^{2}$ is odd". Also,check whether the statement is true.

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:

The statement $(p \wedge q) \Rightarrow (p \wedge r)$ is equivalent to:

Negation of $p \wedge (q \wedge \sim(p \wedge q))$ is

The biconditional statement $p \Leftrightarrow q$ is equivalent to: