The argumentative talk on radio and TV has become a popular feature of media discourse in Kenya. Question-answer sequences as the talk unfolds through the joint participation of co-participants in the talk have emerged as a means to put argumentative talk into effect. Yet, the nature of questions and their categorization remain little understood. Given the recursive nature of question-answer sequences, this paper investigates question typology that sets apart argumentative talk shows from other types of talk. The data consists of transcripts from two Kenyan TV argumentative talk shows: Checkpoint on KTN and Opinion Court on Citizen TV. A question classification scheme by Schirm [2008] was used to discuss the incidence and usage of questions in argumentative talk shows. Findings revealed that clashing, rhetorical, classic clarifying, and opinion-eliciting questions were the most frequently used types in the data sets. It was also noted that different question types served unique rhetorical purposes leading to the conclusion that argumentative talk shows on TV exhibit recursive interactional resources qualifying it as a genre.