Consider the following three statements :
$(A)$ If $3+3=7$ then $4+3=8$.
$(B)$ If $5+3=8$ then earth is flat.
$(C)$ If both $(A)$ and $(B)$ are true then $5+6=17$. Then, which of the following statements is correct?
$(A)$ and $(C)$ are true while $(B)$ is false
$(A)$ is true while $(B)$ and $(C)$ are false
$(A)$ is false, but $(B)$ and $(C)$ are true
$(A)$ and $(B)$ are false while $(C)$ is true
The contrapositive of the statement "If it is raining, then I will not come", is
The Boolean expression $ \sim \left( {p \Rightarrow \left( { \sim q} \right)} \right)$ is equivalent to
If $(p \wedge \sim q) \wedge r \to \sim r$ is $F$ then truth value of $'r'$ is :-
Negation of $p \wedge (\sim q \vee \sim r)$ is -
Which of the following statements is $NOT$ logically equivalent to $\left( {p \to \sim p} \right) \to \left( {p \to q} \right)$?