This is a common one at startups (and one of our personal favorites here at The Muse). Hiring managers want to know that you not only have some background on the company, but that you're able to think critically about it and come to the table with new ideas. So, come with new ideas! What new features would you love to see? How could the company increase conversions? How could customer service be improved? You don’t need to have the company’s four-year strategy figured out, but do share your thoughts, and more importantly, show how your interests and expertise would lend themselves to the job.
Even so, if you're asked, provide a sharp, on-point answer. Be clear and precise. If you're a great problem solver, don't just say that: Provide a few examples, pertinent to the opening, that prove you're a great problem solver. If you're an emotionally intelligent leader, don't just say that: Provide a few examples that prove you know how to answer the unasked question.
Well, seriously, you might get asked brainteaser questions like these, especially in quantitative jobs. But remember that the interviewer doesn’t necessarily want an exact number—he wants to make sure that you understand what’s being asked of you, and that you can set into motion a systematic and logical way to respond. So, just take a deep breath, and start thinking through the math. (Yes, it’s OK to ask for a pen and paper!)
Any candidate can read and regurgitate the company’s “About” page. So, when interviewers ask this, they aren't necessarily trying to gauge whether you understand the mission—they want to know whether you care about it. Start with one line that shows you understand the company's goals, using a couple key words and phrases from the website, but then go on to make it personal. Say, “I’m personally drawn to this mission because…” or “I really believe in this approach because…” and share a personal example or two.