The negation of $\sim s \vee (\sim r \wedge s)$ is equivalent to

  • A
    $s \wedge r$
  • B
    $\sim r \wedge s$
  • C
    $s \wedge (r \wedge \sim s)$
  • D
    $s \wedge (r \vee \sim s)$

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The false statement in the following is

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$S_{4} \equiv (q \rightarrow p) \vee (\sim p \leftrightarrow q)$

The statement among the following that is a tautology is

The entries in the last column of the truth table for $\sim(p \wedge q)$ are

If $p: \forall n \in N, n^2+n$ is an even number and $q: \forall n \in N, n^2-n$ is an odd number,then the truth values of $p \wedge q, p \vee q$ and $p \rightarrow q$ are respectively:

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