Consider the statement : "For an integer $n$, if $n ^{3}-1$ is even, then $n$ is odd." The contrapositive statement of this statement is
Consider the statement : "For an integer $n$, if $n ^{3}-1$ is even, then $n$ is odd." The contrapositive statement of this statement is
- [JEE MAIN 2020]
- A
For an integer $n ,$ if $n ^{3}-1$ is not even, then $n$ is not odd
- B
For an integer $n,$ if $n$ is even, then $n^{3}-1$ is odd.
- C
For an integer $n ,$ if $n$ is odd, then $n ^{3}-1$ is even.
- D
For an integer $n ,$ if $n$ is even, then $n ^{3}-1$ is even.
Similar Questions
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 statement is a tautology?
Which of the following statement is a tautology?
- [JEE MAIN 2022]
Contrapositive of the statement “If two numbers are not equal, then their squares are not equals” is
Contrapositive of the statement “If two numbers are not equal, then their squares are not equals” is
- [JEE MAIN 2019]
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
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
- [JEE MAIN 2022]
Which of the following statement is a tautology?
Which of the following statement is a tautology?