> How can someone possibly call themselves a programmer… when they can't even pseudo something like fizzbuzz?
Agreed. On the other hand, I can count the number of times I've used modulo professionally on one hand, so I wouldn't be too shocked to encounter a competent programmer who had't heard of it.
If I do FizzBuzz people can invent an API function rest_of_division() if needed, or can_be_divided_by(). FizzBuzz (or something more complex) for me is a coding check, not an API/syntax knowledge test.