Asking them to name the bank is a bit of a weird one, only because the answer can't be SVB anymore, and I'm not sure what OP would do with that information. (So it's FRB, then what? Unless you have inside info that they're about to fail, and you're interviewing this week, I don't see how their banking partner's material) But if a startup you're interviewing at won't answer what their runway is, or the rest of the reverse interview business questions, then that's a red flag and you should run far, far away from them.
* Are you profitable?
* If not, how long is your runway?
* Where does the funding come from and who influences the high level plan/direction?
* How do you make money?
* What's preventing you from making more money?
* What is the company's growth plan for the next 1 year? 5 years?
* What are the big challenges you see coming up?
* What have you identified as your competitive advantage?
If someone clicked looking for a longer / less opinionated list, I'm collecting those at https://github.com/viraptor/reverse-interview
I find these much better questions to ask a prospective employer during a job interview: https://github.com/viraptor/reverse-interview
I used this list recently: https://github.com/viraptor/reverse-interview
For a large list of not-startup-oriented questions, I maintain a collection here: https://github.com/viraptor/reverse-interview/
Cool! I've also used these:
https://github.com/lkostrowski/job-interview-questions-to-as... https://github.com/viraptor/reverse-interview
I'll just plug my project here: a list of questions you can ask the company before joining https://github.com/viraptor/reverse-interview
You could try a few relevant questions from reverse interview [1] even though you are past interview stage.