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Mathematical Reasoning
hard
Which of the following statements is a tautology?
A
$\sim(p \vee \sim q) \rightarrow p \vee q$
B
$\sim(p \wedge \sim q) \rightarrow p \vee q$
C
$\sim(p \vee \sim q) \rightarrow p \wedge q$
D
$p \vee(\sim q) \rightarrow p \wedge q$
(JEE MAIN-2020)
Solution
$\sim(p \vee \sim q) \rightarrow p \vee q$
$(\sim p \wedge q) \rightarrow p \vee q$
$-\{(\sim p \wedge q) \wedge(\sim p \wedge \sim q)\}$
$\sim(\sim p \wedge q)$
Standard 11
Mathematics
