Sorry, I'm just not sure we can help. This question is posed in such a confusing way, even if you know about solving this sort of question, that doesn't mean you can decipher the intent.
I will give you some of my thoughts:
1) It does seem clear to me that they want three different answers: A, B, and C directions.
2) If you interpret this as current coming from a point contact with the conductor at points A, B, and C, then you will also need to know where they are flowing to. If I specify current from A to B (both point contacts), that is a different answer than from point A to C. You could just solve all of these (A-B, A-C, B-C), but the points aren't really specified well enough for that. Also, frankly, that calculation is nasty; more a simulation exercise than a closed form answer.
3) So my second guess is that they are assuming that the electrons flow in the (uniform) direction of A, B, or C. I guess as if there is an equipotential planar surface that cuts through the object normal to the given direction (otherwise the electrons would curve). That is understandable in the C direction since the start and end surfaces are normal to the direction given. But it doesn't make any sense to me in the other directions since the boundary surfaces aren't planar, and aren't consistent with an equipotential plane. I suppose there is a way to do this if you specify that this shape is actually imbedded in a material with the same resistivity so the electrons don't see any change when crossing the boundaries (no dissimilar metals allowed either, if you are a stickler for precision). This surely isn't what they meant, it's a bazaar interpretation to fix a simple, but confusing description.
4) Maybe my best guess: Perhaps you should assume that the electrons flow from a boundary surface to the "opposite" boundary. So the C direction is axial flow (along the cylinders), the B direction is radial flow (outside to inside cylinders), and the A direction is circumferential flow (around the cylinder). This way you can have an equipotential surface at each entry and exit boundary. Also the electrons won't need to cross the perpendicular boundary surfaces.
So, sorry, I'm not at all sure this is of any help at all. I think maybe you should be confused. Can you ask for clarity from your instructor?