The question asks about the year when Nalanda University was re-established in Bihar, India. Let's explore the historical context and the timeline leading to its re-establishment:

Nalanda University, originally an ancient center of higher learning, was renowned during ancient times but became defunct in the 12th century. The revival of Nalanda University was a significant endeavor aimed at restoring its past glory and renewing its role as a global hub of learning.

To accomplish this, the Government of India and several East Asian countries initiated its re-establishment through collaborative agreements and funding. As a result of these efforts, Nalanda University was formally re-established in the year 2014.

Justification:

1. The plan to revive Nalanda University was formulated and led by several governments, including a Memorandum of Understanding signed among the East Asia Summit countries.
2. The Nalanda University Act was passed in the Indian Parliament in 2010, setting the framework for its re-establishment.
3. Following the necessary institutional, architectural, and infrastructural developments, the university officially commenced operations in 2014.

Conclusion: Based on the context and factual evidence, the correct answer is 2014.