Moriartyds is correct
I never had a screw failure, anyway, here, we use the "3.5 x 18" screws (the measuring method is much simpler: the first No. is the screw diameter - 3.5mm and the second No. is the length - 18mm) converted to inches it's 9/64" dia and 45/64" length.
I don't think the screws that holds the hinge to the door will ever fail as the don't have any stress (the door will stay on the hinges even without screws and we screw them just to keep the hinge in the hole).
If the screws that mounts the hinge to the cabinet wall failed, you can drill 1/4" hole and glue a 1/4" dowel and re-drill the hole, the screw will hold muck stronger than on melamine.