$p \Rightarrow q$ can also be written as

Let $\Delta, \nabla \in \{\wedge, \vee\}$ be such that $(p \nabla q) \Rightarrow ((p \nabla q) \nabla r)$ is a tautology. Then $(p \nabla q) \Delta r$ is logically equivalent to

The contrapositive of the statement: "If the weather is fine then my friends will come and we go for a picnic." is

The contrapositive statement of the statement "If $x$ is a prime number,then $x$ is odd" is

The contrapositive of the statement 'If Jaipur is the capital of Rajasthan,then Jaipur is in India' is:

$(S1) (p \Rightarrow q) \vee (p \wedge (\sim q))$ is a tautology. $(S2) ((\sim p) \Rightarrow (\sim q)) \wedge ((\sim p) \vee q)$ is a contradiction. Then