The kinds of skills that mice would acquire would probably depend upon how their intelligence was measured during each culling. If you had mice running through mazes, then selective breeding, based on their success would eventually generate mice with a high capability for navigating through mazes. However, they would not develop a brain with all the human capabilities because negotiating mazes does not translate into the ability to do mathematical calculations or formulate abstract theories. The human brain has evolved by selective breeding on a wide spectrum of different cognitive abilities like abstraction, problem solving, language acquisition, and conceptualization.
