The contrapositive of the statement “If you are born in India, then you are a citizen of India”, is
If you are a citizen of India, then you are born in India
If your are not a citizen of India, then you are not born in India
If you are no born in India, then you are not a citizen of India
If you are born in India, then you are not a citizen of India
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
$(p\rightarrow q) \leftrightarrow (q \vee ~ p)$ is
Negation of $p \wedge( q \wedge \sim( p \wedge q ))$ is
Which of the following statement is a tautology?
The converse of the statement "If $p < q$, then $p -x < q -x"$ is -