CAT 2021 Surds and Indices — Previous Year Question

Given below are two statements: Statement I: $\frac{\sqrt{7} + \sqrt{5}}{\sqrt{7}: \sqrt{5}} + \frac{\sqrt{7}: \sqrt{5}}{\sqrt{7} + \sqrt{5}} = 2$ Statement II: If $a + b + c = 0$, then $(a^3 + b^3 + c^3) \div abc = 3$ In light of the above statements, choose the correct answer from the options given below