I had applied for a Rotational Product Manager position through a employee referral. The recruiter was pretty quick in getting back to me. The first call was with the recruiter and the questions were pretty basic - tell me something about yourself, why Facebook etc. She also asked me which products in Facebook would I like to work on and if there is anything I would like to change in any of the products. At the end of the call she said she would set up a phone interview and told me that the interview would be "Product Sense" interview. More of how to design a product and what choices I would make in the process. The phone interview was 45 mins. The first 10 mins was more of introductions. The question was - how would you improve Facebook birthdays, and the follow up questions included what metrics would you use to measure the successful launch of your product, how would you prioritize your features.