A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient/necessary to answer the question.

Question: Among five buildings, 1, 2, 3, 4 and 5 each was built in different time line, which building is the oldest?

Statements:

(I) 2 is older than 5 but younger than 4. 1 is older than only 3 .

(II) Both 1 and 2 are younger than 4 .