"Evasive answers" refer to responses that deliberately avoid giving a direct or clear answer to a question. It's a way to dodge or avoid providing the information being asked for. Full definition
Each time, Matsko «either acknowledged that he would do so, or gave evasive answers about Talon's performance and the benefits of staying invested there,» the lawsuit says. (insurancenewsnet.com)
He doesn't want to alienate any potential voting blocks, so he gives somewhat evasive answers. (religion.blogs.cnn.com)