List of top Mathematics Questions on Logic gates

If $p \equiv$ The switch $S_1$ is closed, $q \equiv$ The switch $S_2$ is closed, $r \equiv$ switch $S_3$ is closed, then symbolic form of the switching circuit is equivalent to \dots

Consider statements $p$ : $S_1$ is closed; $q$ : $S_2$ is closed; $r$ : $S_3$ is closed. The simplified equivalent circuit diagram and its logical statement for the switching circuit is respectively ______.

Let X be a discrete random variable. The probability distribution of X is given below

and E(X) = 4, then the value of AB is equal to

Let X be a discrete random variable. The probability distribution of X is given below

and E(X) = 4, then the value of AB is equal to

Using the rules in logic, write the negation of the following: \[ (p q) \land (q \lor \sim r) \]

If p, q and r are three propositions, then which of the following combination of truth values of p, q and r makes the logical expression \({(p∨q)∧((∼p)∨r)}🡢((∼q)∨r)\) false?