The statement among the following that is a tautology is
$A \vee(A \wedge B)$
$A \wedge(A \vee B)$
$B \rightarrow[ A \wedge( A \rightarrow B )]$
$[ A \wedge( A \rightarrow B )] \rightarrow B$
The negation of the statement
''If I become a teacher, then I will open a school'', is
Which of the following pairs are not logically equivalent ?
Which of the following is not a statement
$\left( {p \wedge \sim q \wedge \sim r} \right) \vee \left( { \sim p \wedge q \wedge \sim r} \right) \vee \left( { \sim p \wedge \sim q \wedge r} \right)$ is equivalent to-
If $(p\; \wedge \sim r) \Rightarrow (q \vee r)$ is false and $q$ and $r$ are both false, then $p$ is