The inverse of the proposition $(p \wedge \sim q) \rightarrow r$ is:

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

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Among the statements:
$(S1) \quad (( p \vee q )$ $\Rightarrow r ) \Leftrightarrow ( p$ $\Rightarrow r )$
$(S2) \quad (( p \vee q )$ $\Rightarrow r ) \Leftrightarrow (( p$ $\Rightarrow r ) \vee ( q$ $\Rightarrow r ))$

Let $a: \sim(p \wedge \sim r) \vee(\sim q \vee s)$ and $b: (p \vee s) \leftrightarrow(q \wedge r)$. If the truth values of $p$ and $q$ are $T$ and that of $r$ and $s$ are $F$,then the truth values of $a$ and $b$ are respectively...

If the truth value of the expression $[(p \vee q) \wedge (q$ $\rightarrow r) \wedge (\sim r)]$ $\rightarrow (p \wedge q)$ is False,then the truth values of $p, q, r$ are respectively:

Write the contrapositive and converse of the following statement:
'Something is cold implies that it has low temperature.'

Negation of the inverse of the following statement pattern $(p \wedge q) \rightarrow (p \vee \sim q)$ is

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