Statement $p$ $\rightarrow$ ~$q$ is false, if
Statement $p$ $\rightarrow$ ~$q$ is false, if
- A
$p$ is true, $q$ is false
- B
$p$ is false, $q$ is true
- C
$p$ is false, $q$ is false
- D
$p$ is true, $q$ is true
Similar Questions
Consider the following statements :
$A$ : Rishi is a judge.
$B$ : Rishi is honest.
$C$ : Rishi is not arrogant.
The negation of the statement "if Rishi is a judge and he is not arrogant, then he is honest" is
Consider the following statements :
$A$ : Rishi is a judge.
$B$ : Rishi is honest.
$C$ : Rishi is not arrogant.
The negation of the statement "if Rishi is a judge and he is not arrogant, then he is honest" is
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Let $\Delta, \nabla \in\{\wedge, \vee\}$ be such that $p \nabla q \Rightarrow(( p \nabla$q) $\nabla r$ ) is a tautology. Then (p $\nabla q ) \Delta r$ is logically equivalent to
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If $p \Rightarrow (\sim p \vee q)$ is false, the truth values of $p$ and $q$ are respectively
If $p \Rightarrow (\sim p \vee q)$ is false, the truth values of $p$ and $q$ are respectively
The proposition $ \sim \left( {p\,\vee \sim q} \right) \vee \sim \left( {p\, \vee q} \right)$ is logically equivalent to
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Which of the following is not logically equivalent to the proposition : “A real number is either rational or irrational”.
Which of the following is not logically equivalent to the proposition : “A real number is either rational or irrational”.