Step 1: Understanding the statement.
The statement suggests that a healthy mind exists only in a healthy body, implying that physical health plays a role in mental well-being.
Step 2: Analyzing the assumptions.
(I) Physical health determines mental health: This assumption is implicit because the statement connects mental health with physical health, implying that physical health can influence mental well-being.
(II) Mental health and physical health are interdependent: This assumption is also implicit as the statement suggests a relationship between both types of health, indicating their interconnectedness.
Step 3: Conclusion.
The correct answer is (E) if both are implicit, as both assumptions are supported by the statement.