Step 1: Analyse Statement--I.
The stratosphere extends approximately from \(12\) km to \(50\) km above the Earth's surface.
Since \(30\) km lies within this range, Statement--I is correct.
Step 2: Analyse Statement--II.
The maximum permissible limit of cadmium (Cd) in drinking water is
\[
0.003\ \mathrm{mg\,L^{-1}} \; (0.003\ \mathrm{ppm})
\]
according to WHO/BIS standards.
Hence, \(0.05\ \mathrm{ppm}\) is incorrect.
Step 3: Final conclusion.
Statement--I is correct, whereas Statement--II is incorrect.
Hence, the correct option is
\[
\boxed{(C)}
\]