Explanation:

- The Limitation Act, 1963 replaced the Limitation Act, 1908 to consolidate and amend the laws related to the limitation of suits and legal proceedings in India.

- Option 1: 5th Oct. 1963 - This is not the date when the Act came into force. It's incorrect.

- Option 2: 11th Nov. 1963 - This too is incorrect as the Act did not come into force on this date.

- Option 3: 1st Jan. 1964 - The Limitation Act, 1963 indeed came into force on this date.

- Option 4: 2nd Jan. 1964 - Again, incorrect. This is not the enforcement date for the Act.