The inverse of the proposition $(p\; \wedge \sim q) \Rightarrow r$ is
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
None of these
Similar Questions
If $p \to ( \sim p\,\, \vee \, \sim q)$ is false, then the truth values of $p$ and $q$ are respectively .
If $p \to ( \sim p\,\, \vee \, \sim q)$ is false, then the truth values of $p$ and $q$ are respectively .
- [JEE MAIN 2018]
$(\sim (\sim p)) \wedge q$ is equal to .........
$(\sim (\sim p)) \wedge q$ is equal to .........
If $p$ and $q$ are simple propositions, then $p \Leftrightarrow \sim \,q$ is true when
If $p$ and $q$ are simple propositions, then $p \Leftrightarrow \sim \,q$ is true when
Which of the following statements is a tautology?
Which of the following statements is a tautology?
- [JEE MAIN 2020]
The statement $(\mathrm{p} \wedge(\mathrm{p} \rightarrow \mathrm{q}) \wedge(\mathrm{q} \rightarrow \mathrm{r})) \rightarrow \mathrm{r}$ is :
The statement $(\mathrm{p} \wedge(\mathrm{p} \rightarrow \mathrm{q}) \wedge(\mathrm{q} \rightarrow \mathrm{r})) \rightarrow \mathrm{r}$ is :
- [JEE MAIN 2021]