Consider the following statements :

1. It is the Governor of the State who recognizes and declares any community of that State as a Scheduled Tribe.

2. A community declared as a Scheduled Tribe in a State need not be so in another State.

Which of the statements given above is/are correct?

The correct option is 2 only.

Let us analyze the statements step-by-step to understand why this option is correct:

Analysis of Statement 1:
According to Article 342 of the Constitution of India, the power to declare or recognize a community as a Scheduled Tribe in a State or Union Territory rests with the President of India, and not the Governor of the State.
While the President is required to consult the Governor of the respective State before making such a specification, the formal notification is issued by the President. Subsequent inclusions or exclusions from the list of Scheduled Tribes can only be done through an Act of Parliament. Therefore, Statement 1 is incorrect.

Analysis of Statement 2:
The list of Scheduled Tribes is specified in relation to a particular State or Union Territory. A community declared as a Scheduled Tribe in one State does not automatically carry that status to another State where they migrate or reside, unless they are specifically notified as a Scheduled Tribe in that other State as well. Therefore, Statement 2 is correct.

Since Statement 1 is incorrect and Statement 2 is correct, the correct option is indeed 2 only.