Probably not hard to figure out, if they are under official cover, then they work at the embassy. For a terrorist, thats good enough.
If they weren't under official cover, then the fact that they stayed at the Taj was good enough. They were killing Americans; they just happened to be among them.
“Probably not hard to figure out, if they are under official cover, then they work at the embassy.”
Actually, the Embassy is in New Delhi. Mumbai has a small consulate, unless things have changed a lot recently.