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
The Boolean Expression $\left( {p\;\wedge \sim q} \right)\;\;\vee \;q\;\;\vee \left( { \sim p\wedge q} \right)$ is equivalent to:
The Boolean Expression $\left( {p\;\wedge \sim q} \right)\;\;\vee \;q\;\;\vee \left( { \sim p\wedge q} \right)$ is equivalent to:
- [JEE MAIN 2016]
Statement $-1$ : The statement $A \to (B \to A)$ is equivalent to $A \to \left( {A \vee B} \right)$.
Statement $-2$ : The statement $ \sim \left[ {\left( {A \wedge B} \right) \to \left( { \sim A \vee B} \right)} \right]$ is a Tautology
Statement $-1$ : The statement $A \to (B \to A)$ is equivalent to $A \to \left( {A \vee B} \right)$.
Statement $-2$ : The statement $ \sim \left[ {\left( {A \wedge B} \right) \to \left( { \sim A \vee B} \right)} \right]$ is a Tautology
- [JEE MAIN 2013]
Which of the following pairs are not logically equivalent ?
Which of the following pairs are not logically equivalent ?
Which of the following is a contradiction
Which of the following is a contradiction
Let $p$ and $q$ be any two logical statements and $r:p \to \left( { \sim p \vee q} \right)$. If $r$ has a truth value $F$, then the truth values of $p$ and $q$ are respectively
Let $p$ and $q$ be any two logical statements and $r:p \to \left( { \sim p \vee q} \right)$. If $r$ has a truth value $F$, then the truth values of $p$ and $q$ are respectively
- [JEE MAIN 2013]