List of top Mathematics Questions on Logic gates asked in MHT CET

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
The statement \( [(p \rightarrow q) \wedge \sim q] \rightarrow r \) is a tautology when \( r \) is equivalent to:
If \( p \land q \) is False and \( p \rightarrow q \) is False, then the truth values of \( p \) and \( q \) are:
If the statement \( p \leftrightarrow (q \rightarrow p) \) is false, then the true statement is:
Using the rules in logic, write the negation of the following: \[ (p q) \land (q \lor \sim r) \]