Answering "Do you plan to attend if not offered funding?"

[Triangular]

Has anyone encountered the question "Do you plan to attend this institution if offered admission without funding?" 

I'm going to answer no, since I can't imagine I would ever consider a doctoral program for which I couldn't receive funding, but would anyone advise against that? I just thought it was a strange question and can't see why they would ask it if it didn't affect admission chances in some way.

[TakeruK]

There's no reason to lie. Being honest is good. I think they are asking because if they didn't have funding for you but you were still qualified enough to make some cutoff, they might offer admission with no funding. But if you don't want that, then this is equivalent to a rejection. (I treated all offers with no funding as the same as a rejection).