The primary department responsible for promoting tourism in Odisha is:

Tourism Department
Culture Department
Forest Department
Sports and Youth Affairs Department

The correct answer is: a) Tourism Department.

The Tourism Department is the primary department responsible for promoting tourism in Odisha. It is responsible for developing and implementing tourism policies and plans, promoting tourism through marketing and advertising, and providing support to tourism businesses.

The Culture Department is responsible for promoting and preserving the cultural heritage of Odisha. It does this through a variety of activities, including organizing cultural festivals, promoting traditional arts and crafts, and preserving historical sites.

The Forest Department is responsible for managing the forests of Odisha. It does this through a variety of activities, including protecting forests from deforestation, managing wildlife, and promoting sustainable forest management.

The Sports and Youth Affairs Department is responsible for promoting sports and youth development in Odisha. It does this through a variety of activities, including organizing sports events, promoting physical education, and providing support to youth organizations.

The Tourism Department is the primary department responsible for promoting tourism in Odisha because it has the expertise and resources to do so. The Culture Department, Forest Department, and Sports and Youth Affairs Department are all important departments, but they do not have the same level of expertise and resources as the Tourism Department.