I'm not saying you don't screen them at all with a technical task, but it should be something representative of what your organisation does, rather than some overdone toy problem
When I said 'fizzbuzz-like' I meant a simple program that is representative of what we do in the organization. Fizzbuzz is supposed to be a simple challenge as far as I'm aware. Stuff like flipping bits with & and |, or knowing how to use preprocessor macros (since we abuse macros a lot). Or awareness of function pointers.