JEE Main · 2023 · 10 Apr 2023 · Shift 1 · Mathematical Reasoning *

More JEE Main questions on Mathematical Reasoning *

1. Among the statements
   (S1): $(p\Rightarrow q)\vee ((\sim p)\wedge q)$ is a tautology
   (S2): $(q\Rightarrow p)\Rightarrow ((\sim p)\wedge q)$ is a contradiction
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2. Negation of $(p\Rightarrow q)\Rightarrow (q\Rightarrow p)$ is
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3. Statement $(P\Rightarrow Q)\wedge (R\Rightarrow Q)$ is logically equivalent to
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4. The negation of $(\mathrm{p}\wedge (\sim \mathrm{q}))\vee (\sim \mathrm{p})$ is equivalent to
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5. The statement $\sim [\mathrm{p}\vee (\sim (\mathrm{p}\wedge \mathrm{q}))]$ is equivalent to
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6. Among the two statements
   (S1): $(p\Rightarrow q)\wedge (q\wedge (\sim q))$ is a contradiction and
   (S2): $(p\wedge q)\vee ((\sim p)\wedge q)\vee (p\wedge (\sim q))\vee ((\sim p)\wedge (\sim q))$ is a tautology
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