[rpdillon]

> Do you think that it's possible that a self taught engineer would know how to solve these problems given time and enough questions to the interviewer?

It's very easy for new interviewers to come up with problems that are easy for them (because they know the subject), but very difficult for the interviewee. Avoiding that is a priority for me, but I still strive to evaluate how the candidate approaches problems.

My strategy is to keep my questions as close to first-principles as possible, making the problem more about programming approach than algorithmic recollection. I had a Google interview once where they asked me to implement pivot tables, and I had to sheepishly ask: "What's a pivot table?" That set me back somewhat, and I try to avoid that in my own questions.