$\sim (p \vee (\sim q))$ is equal to .......

  • A
    $\sim p \vee q$
  • B
    $(\sim p) \wedge q$
  • C
    $\sim p \vee \sim p$
  • D
    $\sim p \wedge \sim q$

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If $p: \text{A man is happy}$,$q: \text{A man is rich}$,then the symbolic form of '$\text{A man is neither happy nor rich}$' is

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If $p \to (q \lor \sim r)$ is false, then the truth values of $(p \leftrightarrow q) \land r$ and $\sim p \to \sim q$ are :

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