Contrapositive of the statement “If two numbers are not equal, then their squares are not equals” is
If the squares of two numbers are not equal, then the numbers are equal
If the squares of two numbers are equal, then the numbers are not equal
If the squares of two numbers are equal, then the numbers are equal
If the squares of two numbers are not equal, then the numbers are not equal
If $P$ and $Q$ are two statements, then which of the following compound statement is a tautology?
The logical statement $[ \sim \,( \sim \,P\, \vee \,q)\, \vee \,\left( {p\, \wedge \,r} \right)\, \wedge \,( \sim \,q\, \wedge \,r)]$ is equivalent to
Which of the following statement is a tautology?
$\sim (p \Rightarrow q) \Leftrightarrow \sim p\; \vee \sim q$ is
The negative of $q\; \vee \sim (p \wedge r)$ is