List of top Mathematics Questions on Statements asked in BITSAT

Consider the following two propositions: $$ P_1: \neg (p \rightarrow \neg q) $$ $$ P_2: (p \wedge \neg q) \wedge ((\neg p) \vee q) $$ If the proposition $p \rightarrow ((\neg p) \vee q)$ is evaluated as FALSE, then:

Let $ p, q, r $ be three logical statements. Consider the compound statements: \[ S_1: (\neg p \vee q) \vee (\neg p \vee r) \] \[ S_2: p \rightarrow (q \vee r) \] Which of the following is NOT true?

If
$ p $: It is raining today,
$ q $: I go to school,
$ r $: I shall meet my friends,
and $ s $: I shall go for a movie, then which of the following represents:
"If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie?"

Consider the following statements:
$ A $: Rishi is a judge.
$ B $: Rishi is honest.
$ C $: Rishi is not arrogant.
The negation of the statement "If Rishi is a judge and he is not arrogant, then he is honest" is:

In the truth table for the statement $ (p \land q) \rightarrow (q \lor \neg p) $, the last column has the truth value in the following order is