The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is
The contrapositive of the following statement, "If the side of a square doubles, then its area increases four times", is
- [JEE MAIN 2016]
- A
If the area of a square increases four times, then its side is not doubled.
- B
If the area of a square increases four times, then its side is doubled
- C
If the area of a square does not increases four times, then its side is not doubled
- D
If the side of a square is not doubled, then its area does not increase four times
Similar Questions
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]
Which of the following is a statement
Let,$p$ : Ramesh listens to music.
$q :$ Ramesh is out of his village
$r :$ It is Sunday
$s :$ It is Saturday
Then the statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday"can be expressed as.
Let,$p$ : Ramesh listens to music.
$q :$ Ramesh is out of his village
$r :$ It is Sunday
$s :$ It is Saturday
Then the statement "Ramesh listens to music only if he is in his village and it is Sunday or Saturday"can be expressed as.
- [JEE MAIN 2022]
Which of the following is logically equivalent to $\sim(\sim p \Rightarrow q)$
Which of the following is logically equivalent to $\sim(\sim p \Rightarrow q)$
The contrapositive of $(p \vee q) \Rightarrow r$ is
The contrapositive of $(p \vee q) \Rightarrow r$ is