First you start with a round of behavioral and get to know you questions. If selected to move on you will then have to give a technical presentation in which everyone from the department is invited and will grill you following your presentation. Overall a very standard process but hard to BS your way through it is you have no idea what you're talking about. Select a technical subject that you are able to defend and you will be fine.
I applied through an employee referral. The process took 6 months. I interviewed at Draper (Cambridge, MA) in Sept 2014
Interview
Included a hour long presentation to a group of interviewers. It displays your ability to communicate technical information. I enjoyed this aspect of the interview because it gave me control over a single portion of the interview. You can't control the other aspects of the interview.
I applied online. The process took 4 weeks. I interviewed at Draper
Interview
Applied, received email for an initial phone screening. Lasted slightly under an hour. Was asked general questions about my background, and listened to the interviewers about the projects they lead.
Was contacted later to schedule full interview. Consisted of a 5 hour day of interviews with team members. Gave a technical talk about a project I worked on.
Overall, very relaxed and informal process.
Interview questions [1]
Question 1
Describe a problem that you solved (technical talk).
Otherwise, general questions about technical background.
I applied online. I interviewed at Draper in Oct 2020
Interview
The draper lab interview was challenging with detailed technical questions asked during multiple one on one interviews. A technical presentation was required. The staff was friendly and thorough in their technical analysis.
Interview questions [1]
Question 1
What challenges did you encounter in a recent design, and how would you have done it differently