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Directions : Question is AssertionReason type. This question contains two statements : Statement 1 (Assertion) and Statement2 (Reason). Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice.

Question: let $p$ be the statement " $x$ is an irrational number ", $q$ be the statemen " $y$ 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 $\sim (p\leftrightarrow \sim q).$

Option 1)
Statement-1 is true, Statement-2 is false

Option 2)
Statement-1 is false, Statement-2 is true

Option 3)
Statement-1 is true, Statement-2 is true Statement-2 is a correct explanation for Statement-1

Option 4)
Statement-1 is true, Statement-2 is true Statement-2 is not a correct explanation for Statement-1

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