JEE Main 2022 Mathematics question
Not in JEE syllabus
The maximum number of compound propositions, out of p r s, p r ~s, p ~r s, ~p ~r s, ~p ~r ~s, ~p q ~s, q r ~s, q ~r ~s, ~p ~q ~s that can be made simultaneously true by an assignment of the truth values to p, q, r and s, is equal to .
Answer: 9
Solution
There are 9 compound propositions in all, of which 6 contain ~s. If s is assigned false, those 6 propositions are true. Among the remaining 3 propositions (p r s, p ~r s,
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