If $A$: Lotuses are Pink and $B$: The Earth is a planet. Then the verbal translation of $(\sim A) \vee B$ is

  • A
    Lotuses are not Pink and the Earth is a planet
  • B
    Lotuses are Pink or the Earth is a planet
  • C
    Lotuses are not pink or the earth is a planet
  • D
    None of these

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The number of values of $r \in \{p, q, \sim p, \sim q\}$ for which $((p \wedge q)$ $\Rightarrow (r \vee q)) \wedge ((p \wedge r)$ $\Rightarrow q)$ is a tautology,is:

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