The statement pattern $(p \land q) \to (r \lor \sim s)$ is false. Then the truth values of $p, q, r$ and $s$ are respectively

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

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Similar Questions

If $p$: The total prime numbers between $2$ to $100$ are $26$.
$q$: Zero is a complex number.
$r$: Least common multiple ($L$.$C$.$M$.) of $6$ and $7$ is $6$.
Then which of the following is correct?

$(p \wedge r) \Leftrightarrow (p \wedge (\sim q))$ is equivalent to $(\sim p)$ when $r$ is.

The statement "If $3^2 = 10$ then $I$ get second prize" is logically equivalent to

Which of the following is a tautology?

$\sim (p \Leftrightarrow q) = \dots$

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