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.
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 $(p \vee q)^{\wedge}(q \vee(\sim r))$ is
If the Boolean expression $( p \wedge q ) \circledast( p \otimes q )$ is a tautology, then $\circledast$ and $\otimes$ are respectively given by
Among the two statements
$(S1):$ $( p \Rightarrow q ) \wedge( q \wedge(\sim q ))$ is a contradiction and
$( S 2):( p \wedge q ) \vee((\sim p ) \wedge q ) \vee$
$( p \wedge(\sim q )) \vee((\sim p ) \wedge(\sim q ))$ is a tautology
Which of the following is not a statement