If the truth value of the compound statement $[(p \lor q) \land (q \to r) \land (\sim r)] \to (p \land q)$ is $False$, then the truth values of $p \to q$ and $q \to p$ are respectively......

  • A
    $(T, T)$
  • B
    $(T, F)$
  • C
    $(F, T)$
  • D
    $(F, F)$

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Similar Questions

If the truth value of the statement pattern $( \sim p \land q) \lor ( \sim p \land \sim q) \lor (p \land \sim q)$ is $F$, then the truth values of $(p \lor \sim q)$ and $(p \to q)$ are ... respectively.

Which of the following statements is $NOT$ logically equivalent to $(p \to \sim p) \to (p \to q)$?

If $c$ denotes the contradiction,then the dual of the compound statement $\sim p \wedge (q \vee c)$ is:

Which of the following sentences are statements? Give reasons for your answer.
The square of a number is an even number.

Which of the following is the inverse of the proposition: "If a number is a prime then it is odd."

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