Step 1: Understanding the Concept:
Filter press operation involves resistance.
Flow rate and pressure drop are related.
Step 2: Key Formula or Approach:
No specific formula.
Need to understand filtration principles.
Step 3: Detailed Explanation:
Statement I: Resistances of medium and cake are in series - correct.
Total resistance is the sum of both.
Statement II: Flow rate is inversely proportional to pressure drop - incorrect.
Flow rate is directly proportional to pressure drop (for a given resistance).
Thus, Statement I is correct, but Statement II is incorrect.
Step 4: Final Answer:
Statement I is correct but Statement II is not correct.
Hence, the correct option is (C).