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Got completely screwed by Jane Street intern round 1. How do I prepare better?

Joined
10/29/15
Messages
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Points
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I'm currently a sophomore looking to apply for quant internships this summer. I just had a first round interview with Jane Street for a research intern position, and I needed interviewer prompting/help on every single question to get the right answer.

I've gone through former Jane Street questions (e.g. on glassdoor) and I could solve pretty much all of them instantly. I go to a top 5 school and like to think that I'm one of the better students there (top 20% at least). I've done math competitions since middle school with a decent amount of success, and my area of focus is probability, so you'd think I'd be able to at least pass round 1 (which I likely won't, but who knows?). Despite this, I came out of the interview feeling like a complete idiot.

I now realize that the research division probably asks a lot harder questions than, say, trading, but I'm still really disappointed in my performance. I've read "A Practical Guide for Quantitative Finance Interviews" and have done most of the problems in there. But besides that, how can I better prepare for interviews?
 
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