JEE Main 2022 — Mathematical Reasoning Question with Solution
From: JEE Main 2022 (Online) 28th June Evening Shift
Question
The maximum number of compound propositions, out of prs, prs, pqs, prs, prs, pqs, qrs, qrs, pqs that can be made simultaneously true by an assignment of the truth values to p, q, r and s, is equal to __________.
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Step-by-step explanation
There are total 9 compound propositions, out of which 6 contain . So if we assign as false, these 6 propositions will be true.
In remaining 3 compound propositions, two contain and the third contains . So if we assign and as true and false respectively, these 3 propositions will also be true.
Hence maximum number of propositions that can be true are 9.
In remaining 3 compound propositions, two contain and the third contains . So if we assign and as true and false respectively, these 3 propositions will also be true.
Hence maximum number of propositions that can be true are 9.
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