You submit your CV and cover letter. And then complete the numerical & verbal assessment. (Can't remember whether there was logical as well.) If you're shortlisted, you'll be invited to their London Office for interview. You have to prepare a 5min presentation on a topic of your choice and slides for the presentation as well.

I applied online on the Rothschild Website. I was sent a numerical test which had to be done in 20 minutes. It was high pressure. After that, there was an onsite interview in their London Office. There was another numerical test during the day, which was followed by a 40 minute interview.