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Mathematical Reasoning
hard
The maximum number of compound propositions, out of $p \vee r \vee s , p \vee P \vee \sim s , p \vee \sim q \vee s$,
$\sim p \vee \sim r \vee s , \sim p \vee \sim r \vee \sim s , \sim p \vee q \vee \sim s$, $q \vee r \vee \sim s , q \vee \sim r \vee \sim s , \sim p \vee \sim q \vee \sim s$
that can be made simultaneously true by an assignment of the truth values to $p , q , r$ and $s$, is equal to
A
$9$
B
$6$
C
$4$
D
$3$
(JEE MAIN-2022)
Solution
If we take
| $p$ | $q$ | $r$ | $s$ |
| $F$ | $F$ | $T$ | $F$ |
The truth value of all the propositions will be true.
Standard 11
Mathematics
