Google Project Manager interview questions

I was contacted via email through my LinkedIn account, asked if I'd be interested in a Product Management position at Google. I initially thought it was spam, so was short with response, asking questions. Once I realized it was legit, I said "sure"! I had a phone call with the staffer - only 15 minutes long. No hard questions - essentially just verifying things on my LinkedIn profile. Then the staffer set up a 45 minute call with a PM for the following week. I studied all of the goofy brain teasers that other reviewers have shared - was dreading the call because of that... But the call came and the PM was friendly, encouraging, and thoughtful. No brain teasers - just talked about business. It was a 45 minute interview - we talked for an hour. I actually enjoyed talking with him. I got an email a couple of days later from the staffer thanking me, that my resume was forwarded on to the hiring manager and they thought "I'd be a better fit in a different department". The staffer said that they would follow up if they found a fit...

It was a phone screening interview. The questions were very standard. I got a "NO" 2 weeks after the phone interview. They didn't give me the opportunity to move forward even though I felt very strong about the interview. It was also impossible to get any specific feedback or to understand what I did wrong.