Gents have an exhaust manifold bold sheared of flush with the head tried a carbide drill bit but no good it doesnt want to play any ideas?
Studs should not be that hard, although they do work harden over time. If you used a proper carbide drill and you can't cut it with that, you ain't going to cut it with anything. Very sharp drill bit slow and lots of pressure is the way to drill hard objects. An electric drill is too fast and will just work harden the metal more. Get some C1150 drills for such jobs they are worth their weight in gold.
Try a cobalt drill but that will eat trough whatever the size bolt say 8mm drill a 7.5 hole and retap if no luck you can helicore as suggested.