All I'm saying is that there needs to be a multi-faceted look at a candidate. Some candidates are going to be so obviously poor that they do merit instant rejection. However, in my experience, that is the exception rather than the rule.
And yes - trivial programming questions do weed out a fair number of candidates. However... it's tricky. A trivial programming question can look different to many different people, especially if they have varying skill levels and depending on their level of comfort in interviews.
I try to give people the benefit of the doubt. If one question stumps them, I'll try to gauge their understanding with another similar (but different enough) question. If that doesn't work... sometimes I'll give them another shot, but usually I'll start winding the interview down.