Google Project Manager interview questions

The process strives to be professional, but is lacking in some basic common sense and respect. Google has a lot of guidelines in place, but basically your experience will come down to random luck - who is assigned to interview you? More than one of my interviewers showed up 30+ minutes late and I was asked questions that have no relevance to being an effective product manager - such as "draw an app interface". When I inquired as to "what type of app?" "what was motivating the app" "who are the customers?" I was told to just "make it up". Ultimately I was dinged for "not being creative enough" so perhaps I should have approached this task with more enthusiasm ;) .

A recruiter reached out a few days after I applied online, and a phone screen with a PM was scheduled. I am an experienced candidate (5 years of work experience, no MBA) but the person who interviewed me for the phone screen was an APM (associate PM) who recently graduated from business school. From the start, he had this "I'm better than you" attitude, and did not take my industry experience seriously. I think it would be better if Google matched candidates with interviewers of similar background. You'd avoid this situation where this MBA guy was trying to "flex" on me the whole time and make me feel inferior. He asked me two questions. First was a product design question, which I nailed. He even said at the end that this was good. The second question was a brain teaser. I didn't get it right away, but caught myself going down the wrong track and then gave the correct answer. Then he decided to extend the problem space to infinite size and asked me to come up with a generic solution to the brain teaser. This is where I was stuck and wasn't able to come up with the optimal solution. Although at the end, he said I did well in solving the original brain teaser, but didn't comment on the extended version.