The only formal job interview I've ever given went something like this
Interviewer: "So what have you done?"
Me: "I founded a non-profit when I was 18, we worked with over 6000 College Youth over 6 years on Civic Education issues in collaboration with X and X. Then I co-founded and led an EdTech Startup working on Social College selection with X traction, X team-size and X funding. My focus was on Product, Design, Brand and Fundraising. We were successful on X and X fronts but failed on X fronts"
Him: "Okay! Good! We take data-driven decisions. So let's test your data skills"
Me: "Sure"
Him: "Say if I give you a revolver and load 2 bullets into it, then rotate the cylinder and load my gun. Then fire it once and it's a blank. And then ask you before firing the next shot whether you want me to fire it right away or open the cylinder and rotate it again and then fire, what would you say?"
Me: "Ummm, I know nothing about pistols, how many slots in the cylinder, how does it rotate, it's overall functioning, nothing"
Him: "Let me try to explain (a long explanation of the problem followed)"
Me: "I'm sorry I don't think I'll get this."
Him: "Let me explain (a long explanation of the solution followed)"
Me: "Thanks, that's interesting, I'm sorry I couldn't give the right answer. But since yours is an Internet Company building B2C Products, since I too shall be expected to do that and since you want to test my data-driven skills, let me give you an example of one of the products we built in our Startup. We mined our extensive database with X number of entities, X entity types and wanted to build a simple, easy to use feed for each higher-ed aspirant whereby they can jump straight into our social College data to see the best glimpses. We took X number of criteria into consideration, then X statistical methods were applied, X number of permutations were considered, plus we did X and X to optimize speed and then we measured its performance in X ways."
Him: "Hmmm. Okay let me ask you another question."
Me: "Okay"
Him: "(pointing at the table we were sitting on either side of) Say you and I are playing a game, where this table is our game-board. We will each put one coin on the table on each turn, never overlapping each other's coins. What is the one strategy that I can use to ensure that I shall never lose?"
Me: "If this game has a sure-shot strategy that ensures you never lose, what's the whole point of playing the game!"
(I tried and tried but couldn't come up with an answer)
Him: "Let me explain (a long explanation about the solution followed)"
Me: "I'm sorry, I couldn't answer this"
Him: "(Looking disappointed) Alright, I'm done. Do you want to ask me something?"
Me: "Oh, I have so many questions, I've been researching your Company for a while. It's such an exciting problem to solve. I have estimates but what's the exact market size you're building your product for?"
Him: "(Stuttering, stumbling, thinking) Ummmm X, no wait maybe X. Wait, let me think - ya it should be X (a number not even remotely close to the actual)."
Him: "What other questions?"
Me: "I'm done"
Not trying to make a point here but I have a strong feeling that he was from an IIM