Let $p$ be the statement "$x$ is an irrational number", $q$ be the statement "$y$ is a transcendental number", and $r$ be the statement "$x$ is a rational number iff $y$ is a transcendental number".Statement - 1: $r$ is equivalent to either $q$ or $p$.Statement - 2: $r$ is equivalent to $\sim (p\leftrightarrow \sim q)$.

1. A
   Statement - 1 is false, Statement - 2 is true
2. B
   Statement - 1 is true, Statement - 2 is true; Statement - 2 is a correct explanation for Statement - 1
3. C
   Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1
4. D
   Statement - 1 is true, Statement - 2 is false