The Boolean expression $( p \Rightarrow q ) \wedge( q \Rightarrow \sim p )$ is equivalent to :
$q$
$\sim \mathrm{q}$
$\mathrm{p}$
$\sim \mathrm{p}$
The negation of the expression $q \vee((\sim q) \wedge p)$ is equivalent to
The contrapositive of the statement “If you are born in India, then you are a citizen of India”, is
Let $p$ and $q$ be two Statements. Amongst the following, the Statement that is equivalent to $p \to q$ is
Consider the following three statements :
$P : 5$ is a prime number.
$Q : 7$ is a factor of $192$.
$R : L.C.M.$ of $5$ and $7$ is $35$.
Then the truth value of which one of the following statements is true?
If $p$ : It rains today, $q$ : I go to school, $r$ : I shall meet any friends and $s$ : I shall go for a movie, then which of the following is the proposition : If it does not rain or if I do not go to school, then I shall meet my friend and go for a movie.