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
Which of the following is the inverse of the proposition : “If a number is a prime then it is odd.”
Which of the following is the inverse of the proposition : “If a number is a prime then it is odd.”
Among the statements
$(S1)$: $(p \Rightarrow q) \vee((\sim p) \wedge q)$ is a tautology
$(S2)$: $(q \Rightarrow p) \Rightarrow((\sim p) \wedge q)$ is a contradiction
Among the statements
$(S1)$: $(p \Rightarrow q) \vee((\sim p) \wedge q)$ is a tautology
$(S2)$: $(q \Rightarrow p) \Rightarrow((\sim p) \wedge q)$ is a contradiction
- [JEE MAIN 2023]
The conditional $(p \wedge q) ==> p$ is
The conditional $(p \wedge q) ==> p$ is
The contrapositive of the statement "if I am not feeling well, then I will go to the doctor" is
The contrapositive of the statement "if I am not feeling well, then I will go to the doctor" is
- [JEE MAIN 2014]
Statement $\quad(P \Rightarrow Q) \wedge(R \Rightarrow Q)$ is logically equivalent to
Statement $\quad(P \Rightarrow Q) \wedge(R \Rightarrow Q)$ is logically equivalent to
- [JEE MAIN 2023]