The negation of the statement "$2 + 3 = 5$ and $8 < 10$" is:

If statements $p$ and $q$ are true and $r$ and $s$ are false,then the truth values of $\sim(p \rightarrow q) \leftrightarrow (p \wedge s)$ and $(\sim p \rightarrow q) \wedge (r \leftrightarrow s)$ are respectively:

The number of ordered triplets of the truth values of $p, q$ and $r$ such that the truth value of the statement $(p \vee q) \wedge (p \vee r) \Rightarrow (q \vee r)$ is True,is equal to

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:

Write the negation of the following statement and check whether the resulting statement is true:
There does not exist a quadrilateral which has all its sides equal.

The negation of the statement pattern $(p \wedge \sim q) \rightarrow (p \vee \sim q)$ is