I applied through university. The process took 3 months. I interviewed at Microsoft (Redmond, WA)
Interview
On-campus interview followed that was largely resume focused with one analytical/estimation question. Next step was an on-site of with 4 rounds of interviews. Each interview had the same format of behavioral followed by product design question.
Interview questions [1]
Question 1
Behavorial deep dive on previous projects
Product design question(s)
Three rounds of interview starting with phone screening, middle round of online interview and final round of three interviews all schedule within a couple weeks time. Interviews were Microsoft recruiters followed by employees
Interview questions [1]
Question 1
If your boss asked you to build a coffee machine in a car, how would you approach it?
Standard behavioral set of questions, walked them through past projects I've worked out and answered some case-like product question, like what is your favorite product / non technical product, etc.
Apply the summer intern programme through official website. 2 rounds of interviews in total. Give general idea of what is a good PM and talk about the latest project. Deal with a small case.