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Mathematics · 2022

JEE Main · 28 June 2022, Shift 2 · Q30

The maximum number of compound propositions, out of p r s, p r ∼ s, p ∼ q s, ∼ p ∼ r s, ∼ p ∼ r ∼ s, ∼ p q ∼ s, q r ∼ s, q ∼ r ∼ s, ∼ p ∼ q ∼ s that…

The maximum number of compound propositions, out of $\displaystyle \mathrm{p} \vee \mathrm{r} \vee \mathrm{s}, \mathrm{p} \vee \mathrm{r} \vee \sim \mathrm{s}, \mathrm{p} \vee \sim \mathrm{q} \vee \mathrm{s}, \sim \mathrm{p} \vee \sim \mathrm{r} \vee \mathrm{s}$, $\displaystyle \sim \mathrm{p} \vee \sim \mathrm{r} \vee \sim \mathrm{s}, \sim \mathrm{p} \vee \mathrm{q} \vee \sim \mathrm{s}, \mathrm{q} \vee \mathrm{r} \vee \sim \mathrm{s}, \mathrm{q} \vee \sim \mathrm{r} \vee \sim \mathrm{s}, \sim \mathrm{p} \vee \sim \mathrm{q} \vee \sim \mathrm{s}$ 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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JEE Main 2022 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.