Meta Product Manager interview questions

I applied via employee referral to the Rotational Product Management program in early August 2018. I received an email 1 week later to answer some logistics questions (work authorization, etc.) and set up a 30-minute phone screen via a scheduling link. It was an automated template email (my name was in all caps) and I received no reply after responding to the questions. The first robotic email set the tone for the rest of the process. The phone screen was straightforward (questions listed below), but there was zero engagement from the recruiter. Just firing off questions one right after another. When it came time for me to ask questions, the recruiter didn't know the answers to any of my questions about the RPM program (mentor matching, international trip, team matching for each rotation), which I found very odd. Got a cookie-cutter email about a week later that I'd been rejected.

Short and brief video interview. First one was with HR in NYC and the other was a regional Project Manager. The interview was a combination of informal conversation and traditional answer question style.