From what I recall in English class, Odysseus was a man of pride with an enormous ego. In addition, he showed a sense of curiosity. I can tell you I am positive the answer is not A. B and C are both possible, but I am going with B. C is a little far fetched simply because of "If they did not stay to say 'hello." Hope this helps.
The foot-in-the-door method is basically a psychological method where you ask for a small request first, then a bigger one later. So I think it's A, just because the others don't work. B is just straight up asking for a big favor, C is providing you with the "must-do" effect, and D is simply a favor for a favor.