Which country did not have a colonial stake in America?

The correct choice is based on the historical context of colonial powers in America. China, unlike other nations listed, did not engage in the colonization of territories in the Americas. During the period of European exploration and colonization, China was largely focused on its own internal matters and stabilization rather than overseas expansion. The Ming and Qing dynasties were more concerned with trade in Asia and had limited interaction with the Americas, primarily through indirect trade routes.

In contrast, countries like India (controlled by Britain during the colonial period), France (which established colonies in North America such as New France), and Brazil (which was a Portuguese colony) were all actively involved in the colonial activities in the Americas. Understanding this context helps clarify why China is the correct answer, as it demonstrates the differing geopolitical focus and imperial ambitions of nations during the age of exploration and colonization.