The position was a Summer Analyst Internship at Capital One. I was first notified of the position through my college's (Georgia Tech) career services department. I applied through career services and received my first contact from the recruiter within a week of sending in my application.
The process consisted of three parts. First, I was asked to complete an online personality profile, this was pretty standard - like any other personality profile I had encountered at any job. Next, a few days later, I was asked to take a series of online competency tests. The tests consisted of a quantitative analysis (math) section and a verbal section. The verbal section seemed similar to any standardized reading comprehension test. The quantitative analysis section, however, was surprisingly difficult due to the time constraints. (NOTE: I'm an engineering major with a 4.0 math GPA) Although, I feel that with a little studying I may have scored better. Regardless, two days later I was notified of an available on campus interview.
The interview was 45 minutes long and consisted of 5 minutes of chit-chat/ tell-your-story, a 30 minute quantitative case study and finally a 10 minute question and answer section. The beginning was a little awkward because the interviewer took up about 3 minutes of the allocated 5 minutes get to know you time, which didn't really leave me enough time to tell my story. However, this wasn't that big of a deal because this was obviously more of a "skills" measuring interview than a "fit" interview.
The case study portion of the interview was relatively intense, and in retrospect, I wish I would have prepared better for it. The case we went through was how to optimize the profits of an ice cream shop and it involved using some basic algebra (specifically, interpreting the slope of a line and the formula for an equation of a line and using this to interpolate fluctuations in demand as a function of price). Interestingly enough, I think the toughest part was having to figure percentages and perform long division without a calculator - on the spot, in front of the interviewer!
The interview ended with some less quantitative questions concerning how running an ice cream shop is analogous to banking. Overall, I feel the interview went alright, but I won't hold my breathe for a job offer.