The present invention is directed to a door-related hinge member having a cup-like portion to be sunk in a substantially circular mortise (28) in the back of a door (30) and having a flange (34) integral with the upper edge of cup-like portion. At least two centering studs (36) extend from the bottom of the flange and engage in two holes (38; 38') situated near the mortise. The hinge member is installable on at least two doors which are different as regards the position of the holes for the centering studs, the studs are provided in an area of the flange (34) in which the flange, when in the correctly installed position, covers the holes of the differently configured doors (30). The centering studs are of such shape and size that their outer periphery contacts the wall of each of the holes (38; 38') in at least along a line, in each of the differently configured doors (30).