The negation of $(p \wedge q) \rightarrow (\sim p \vee r)$ is

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

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Similar Questions

For any three simple statements $p, q, r$,the statement $(p \wedge q) \vee (q \wedge r)$ is true if and only if:

$p$: If $7$ is an odd number,then $7$ is divisible by $2$.
$q$: If $7$ is a prime number,then $7$ is an odd number.
If $V_1$ and $V_2$ are the respective truth values of the contrapositive of $p$ and $q$,then $(V_1, V_2) \equiv$

Which of the following is a statement?

Write the component statements of the following compound statement and check whether the compound statement is true or false.
$0$ is less than every positive integer and every negative integer.

Write the negation of the following statement:
Both the diagonals of a rectangle have the same length.

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