I'll qualify that headline by saying that if you apply to highly regulated employers - government, unionized, military - you're unlikely to hear these questions, as they are not as easy to evaluate as "This position requires a hightened ability to (insert). Please tell us about a time when ..."
No, these questions are different. I found them in this article: These 8 Questions Reveal the Most About if You'll Get a Job. These questions require you to know yourself.
What's Your Brand?
In my opinion, this question restates the traditional "Why should we hire you" or "What do you bring to the table" kinds of questions. The word "brand" demands that you communicate what makes you different from your competitors. Are you able to do this?
"If you found $5,000, no strings attached, how would you spend it?"
The article's example points at the value of spontaneous creativity that the answer may elicit. Obviously creativity is not part of every job, nor does every recruiter value creativity; some may value process, responsibility, and reliability more. Perhaps that recruiter would rather hear that you would pay off debts!
"If your best friend was sitting here what would s/he say is the best part about being your friend?"
Wow, that's a toughie! At least I think it is. One recruiter suggested it stirs an honest and candid reply and thus provides insight into whether you fit the corporate culture.
These questions may or may not work as suggested and the reason is that recruiters are human, possessing human idiosyncracies, bringing personal experiences, dragging personal baggage that influences their perception and interpretation, making it impossible to know what is the "perfect" reply.
But that's not the point! These questions, as the article suggests, are about evaluating "fit," a critical component of the interview process. I recommend replying in an authentic, truthful manner. Just be you!
(If, however, you have specific obstacles to your employment - lack the credentials you think are required but have tons of experience; lack the experience but have state-of-the-art credentials, worry about the few years off work while you studied, travelled, took care of a sick relative or got through your own illness - there are strategic ways to reply to questions that touch upon these potential interview landmines!)
Maybe your issue is that you really don't know yourself well enough to reply to such questions? You're not alone! I have many clients who are light on their ability to define themselves. They can list their hard and soft skills, but really fall short of being able to share their talents and personality in a meaningful way. And knowing these would really help in replying to unusual questions.
So what's the most unusual question you've ever been asked? Send me an email and I'll share a 9-page interview strategy report as a Thank You!