The basic cognitive architecture of the human brain remains unknown. However, there is evidence for the existence of distinct behavioral control systems shared by humans and nonhumans; and there is further evidence pointing to distinct higher-level problem solving systems shared by humans and other primates. To clarify the nature of these proposed systems and examine how they may interact in the brain, we present a four-level model of the primate brain and compare its performance to three other brain models in the face of a challenging foraging problem (i.e., with transparent, and thus, invisible barriers). In all manipulations (e.g., size of problem space, number of obstacles), our model never performed the best outright; however, it was always among the best, appearing to be a jack-of-all-trades. Thus, the virtues of our primate brain lie not only in the heights of thinking it can reach, but also in its range and versatility.