Analyst Interview Questions

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Not really difficult but at the time I was asked I looked like the biggest idiot: There are N boxes and N keys. Each key opens exactly one box. Suppose we lock each key inside a random box. We pick a box at random and break it in order to get the key. What is the probability that with that key we will be able to open the rest of the boxes without having to break any of the remaining ones?
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Seismic Imaging Analyst

Interviewed at Viridien

4.4
Jul 18, 2014

Not really difficult but at the time I was asked I looked like the biggest idiot: There are N boxes and N keys. Each key opens exactly one box. Suppose we lock each key inside a random box. We pick a box at random and break it in order to get the key. What is the probability that with that key we will be able to open the rest of the boxes without having to break any of the remaining ones?

You are in a silent auction and bidding for a new car with an infinite number of participants. The winner of the auction is not the person that bets the highest number, but the person that correctly guesses half of the average bid (i.e. if the average bid amongst all the participants was $50, the winner is the person that bids $25). The maximum amount you can bid is $100. All of the participants are given the same information as you are and will make rational decisions, just like you will. What is the winning bid for the car?
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Media Analyst

Interviewed at Ampush

3.9
Jan 29, 2014

You are in a silent auction and bidding for a new car with an infinite number of participants. The winner of the auction is not the person that bets the highest number, but the person that correctly guesses half of the average bid (i.e. if the average bid amongst all the participants was $50, the winner is the person that bids $25). The maximum amount you can bid is $100. All of the participants are given the same information as you are and will make rational decisions, just like you will. What is the winning bid for the car?

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