eBay Product Manager interview questions

I was invited to interview based on a high level and generalized PM job description. During the interview I was asked to provide my ideas on what to do to make a particular product better. It assumed a fair amount of domain expertise. The questions gave the impression They were looking for a consultant with ideas, not a PM with skills aptitude. Didn't pursue the opportunity further.

The entire process got done in a week. There were 2 independent interviews with 2 separate teams on the same day. One was face-to-face with the Senior PM of that team and the other was via skype with the senior PM in NYC.