맞히다 is getting the answer right or hitting the target, and the 고 clause gives what you go on. Five of these lines are the same guess-the-song game: confident at guessing this kind of music from hearing it, guessing it after hearing this, guessing without even hearing the hint, guessing without knowing. The near neighbour to keep straight is 맞추다, which is fitting or matching things together; even Korean speakers mix the two up.