Maybe ask for an explanation..?

You swallow, your mouth suddenly dry. After only a day here, you're already sure that this is how the town operates: giving you some vague-ass choice with no context, only to toy with you. Asking for clarification will probably just make them rescind the offer and choose the most humiliating option..

Maybe you should just pick something at random..

On the other hand, it might worth a try to ask - if nothing else to get more information out of them.