Explanation:

- The Mines Act, 1952 provides guidelines for the management and regulation of mine operations.

- A Special Officer has the provision to enter a mine for surveying, levelling, and measuring.

- Option 1: Three days – This option suggests a three-day prior notice.

- Option 2: Five days – Proposes that a five-day notice should be declared.

- Option 3: Seven days – Suggests a week's advance notice to the Manager.

- Option 4: Fourteen days – Indicates a two-week notice period.

- According to the Mines Act, the requirement is typically a seven-day notice period, which aligns with Option 3.

Option 3 is the correct choice.