If the truth value of $[(p \lor q) \land (q \to r) \land (\sim r)] \to (p \land q)$ is false, then which of the following is $NOT$ true?

  • A
    $\text{Truth value of } p \to q \text{ is False}$
  • B
    $\text{Truth value of } p \to r \text{ is False.}$
  • C
    $\text{Truth value of } (\sim q) \to p \text{ is False.}$
  • D
    $\text{The truth value of } (\sim p) \land r \text{ is False.}$

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