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Stranger things have happened: http://pdos.csail.mit.edu/scigen/#examples

Since the main thing we care about is the people, you'd either have to lie or be genuinely good.

How do you know who the people are? Presumably, the app would create blogs, facebook pages, linkedin, twitter, etc. Passing a phone interview would be harder, though not impossible. You might need really good voice recognition. Speech generation probably wouldn't be insurmountable.

In person, this might be trickier. This might require a robot mannequin. Alternatively, you could hire an actor with wireless ear plugs. Presumably, the computer would tell the actor what to do.

While the idea proposed is important, I believe pg cares more about the the team, which I think is reflected in the application. So you could very well generate a random idea and be accepted as long as you have an awesome group of people.

That's a slightly harder Turing test. pg will insist on them moving to Silicon Valley, so we'll have to use tech like this:

http://en.wikipedia.org/wiki/EveR-2#EveR-2