If each of the following statements is true, then $p\Rightarrow \sim q,~r\Rightarrow q,p$

$\text{ Since }p\text{ is true and }p\Rightarrow \sim q\text{ is also true, therefore }~q\text{ is true. }$

$\text{ (As a true statement cannot lead to a false one) }\Rightarrow q\text{ is false. }$

$\text{ Also }~r\Rightarrow q\text{ is true, therefore, }~r\text{ is false }\Rightarrow r\text{ is true. }$