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
Let $F_{1}(A, B, C)=(A \wedge \sim B) \vee[\sim C \wedge(A \vee B)] \vee \sim A$ and $F _{2}( A , B )=( A \vee B ) \vee( B \rightarrow \sim A )$ be two logical expressions. Then ...... .
Which of the following statement is a tautology?
$\sim (p \vee (\sim q))$ is equal to .......
$\left( { \sim \left( {p \vee q} \right)} \right) \vee \left( { \sim p \wedge q} \right)$ is logically equivalent to
Let $\Delta \in\{\wedge, \vee, \Rightarrow, \Leftrightarrow\}$ be such that $(p \wedge q) \Delta((p \vee q) \Rightarrow q)$ is a tautology. Then $\Delta$ is equal to