Yes, exactly. But in this case (hidden nuke), you send the nuclear response team to the location and if they say it's there, you have your answer. If it's not,

Yes, exactly. But in this case (hidden nuke), you send the nuclear response team to the location and if they say it's there, you have your answer. If it's not, you start on the next finger and keep going until you find the bomb or the bomb explodes (or the terrorist dies). Of course you're still vulnerable to fakeouts with a decoy device, booby traps or multiple devices, which a sufficiently paranoid fat terrorist would use if he thought he could be caught and tortured, but that's not the scenario given.