You are asked in store questions when you submit your paper applications. Questions include what is your favorite product and why would you like this store. You are then called in for an interview. That should determine your eligibility.
J'ai passé un entretien chez Trader Joe's (Boston, MA)
Entretien
It's two to three interviews, the final with the Captain (or highest manager) of the store. The interviews are largely to get to know your personality and how well you would do at customer service.
The interview process was absolutely wonderful! I didn't feel stressed or nervous and it felt like I was just chatting with a friend! Trader Joes is a great company and the interview was great.
J'ai passé un entretien chez Trader Joe's (Atlanta, GA)
Entretien
Very chill, asked things a lot of job interviews don't, more personal down to earth questions. Made me feel very comfortable. Professional but also cool vibes from everyone who interviewed me. Went to one interview with mates and another with the captain.