Google PM interview questions

I was not looking for a job, but a Google recruiter reached out to me on LinkedIn, so I bit. I passed her phone screen and then the subsequent phone interview with a product manager. Then, I had 3 on-site interviews with other product managers. I thought 1 went very well, 1 went medium well, and 1 went just ok. I then had lunch with another product manager, which was also kind of blah. After lunch, I met back up with my interview coordinator, and he said they didn't have any more questions for me, so I could go. From what I could tell, that was neither good nor bad, but it turned out to be bad, because I got the news the next day that they weren't going to move forward with my candidacy. Since I agreed to the NDA, I won't post the exact interview questions here, but I was surprised that all 3 of my on-site interviews each centered around one problem-solving/product design question. There were pretty much no behavioral questions.