The expression $\sim ( \sim p \to q)$ is logically equivalent to

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

Let $p, q, r$ be three statements,then $[p$ $\rightarrow (q$ $\rightarrow r)] \leftrightarrow [(p \wedge q)$ $\rightarrow r]$ is

The simplest form of the following switching circuit is represented by which of the given options?

Simplify the Boolean function $(x \cdot y)+[(x+y') \cdot y]'$

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