The contrapositive of the statement "If it is raining, then I will not come", is
If I will not come, then it is raining.
If I will not come, then it is not raining.
If I will come, then it is raining.
If I will come, then it is not raining.
Negation of the statement $(p \vee r) \Rightarrow(q \vee r)$ is :
If $p$ and $q$ are simple propositions, then $p \Leftrightarrow \sim \,q$ is true when
The statement $\sim(p\leftrightarrow \sim q)$ 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
The negation of the compound statement $^ \sim p \vee \left( {p \vee \left( {^ \sim q} \right)} \right)$ is