I think it was supposed to be a puzzle. But he did not supply enough info. Like
if the applied signal was dc or ac. If dc, a bunch of caps will not act like resistors, once they charge. In fact, capacitors block dc.
The way I see it, caps stabilize voltage, inductors stabilize current, and resistors just have a voltage across them from a current going thru them, and dissipate power, where the ideal cap or inductor doesn't ( or is not supposed to). Yes, a simplification without 2 pie f or phase effects. Here is a real puzzle, with resistors, maybe you heard of it, I had to solve on a real test:
Imagine a cube made of 1 ohm resistors, the edges. You have 2 connections
on opposite corners. Using delta Y calculations, determine the equivalent R.
This is actually hard to do that way, about 3 pages of equations. It was an
extra credit question. I had some time left, and tried to write a kirchoffs eq on the nodes, since there were 3 resistors, assuming a current of 3A would
divide equally 3 ways, it was easy to assign the values. Writing voltage loop equations then solved the overall resistance value. Puzzles can be valuable!