
You need to be 6.666666... standard deviations below the mean, which er. means that you would need around 10^11 people for there to be 1 person with an IQ of zero. That's what wolfram alpha tells me anyway.
There's supposed to be about 7 billion now, so you might have to wait a few years for humanity to breed up to the point where you can achieve your dream. We might need a few more planets.
( , Wed 10 Dec 2014, 0:51, Reply)

So, a test to determine the IQ of an average person is not going to be precise enough to distinguish between the IQs of geniuses.
Presumably you can specifically test for someone with an IQ of zero, by asking them to take a test, and them not doing anything at all because they were born with anencephaly.
( , Wed 10 Dec 2014, 10:06, Reply)