The conditional $(p \wedge q) \Rightarrow p$ is :-
A tautology
A fallacy i.e., contradiction
Neither tautology nor fallacy
None of these
Let $p$ and $q$ denote the following statements
$p$ : The sun is shining
$q$ : I shall play tennis in the afternoon
The negation of the statement "If the sun is shining then I shall play tennis in the afternoon", is
The negation of the statement
''If I become a teacher, then I will open a school'', is
Negation of the Boolean statement $( p \vee q ) \Rightarrow((\sim r ) \vee p )$ is equivalent to
The statement $[(p \wedge q) \rightarrow p] \rightarrow (q \wedge \sim q)$ is
Contrapositive of the statement “If two numbers are not equal, then their squares are not equals” is