Let $p, q, r$ denote arbitrary statements. Then the logically equivalent of the statement $p\Rightarrow (q\vee r)$ is
$(p \vee q) \Rightarrow r$
$(p \Rightarrow q) \vee (p \Rightarrow r)$
$(p \Rightarrow \sim q) \wedge (p \Rightarrow r)$
$(p \Rightarrow q) \wedge (p \Rightarrow \sim r)$
Which of the following is the inverse of the proposition : “If a number is a prime then it is odd.”
The contrapositive of the statement "If you will work, you will earn money" is ..... .
The negation of the statement $q \wedge \left( { \sim p \vee \sim r} \right)$
The inverse of the proposition $(p\; \wedge \sim q) \Rightarrow r$ is
Which of the following statements is a tautology?