You're out on an adventure, when you find you're lost. While trying to find your way out you come across 4 others.
Each of them know 1 direction. There's two girls, they know east and west. There's also two boys, they know north and south. They are also from another country, and have different words for north, south, east, and west that you do not know.
You also know that one girl and one boy enjoys lying, and will lie to you at all times.
You may assume the following:
You cannot ask a question that will silence them because they do not know. If they can't answer, assume they will kill you.
They have no idea what they would say to a question, so "Are you about to say no?" or "What would you say if I asked you 'Is that way North?'".
They have no knowledge of what the others in their group or gender would say to a question, or if they lie or not.
They know enough English to understand your question, but not enough to respond in English.
You cannot see the sun, moon, or stars. Pretend it's a cloudy night.
When you walk up to them they will hold their hands up in 2 directions, the correct way, and the opposite to the correct way. Can you ask them each a question, and be able to determine north, east, south, and west, if so, how?
You can ask them each a different question if you like, and label them BoyA, BoyB, GirlA, GirlB.
I in no way imply this is possible, or agree that it can be done. The point is to determine if you can, and if so how?