# Summer Intern Interview Questions

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### Prop Trading Summer Intern at Jane Street

Mar 11, 2011
 “You are playing a game where the player gets to draw the number 1-100 out of hat, replace and redraw as many times as they want, with their final number being how many dollars they win from the game…”

### Summer Trading Intern at Jane Street

Oct 4, 2011
 “Say I take a rubber band and randomly cut it into three pieces. What's the probability that one of the pieces has length greater than 1/2 of the original circumference of the rubber band.”

### Quantitative Researcher Summer Intern at Jane Street

Apr 17, 2011
 “3) Poker. 26 red, 26 black. Take one every time, you can choose to guess whether it’s red. You have only one chance. If you are right, you get 1 dollar. What’s the strategy? And what’s the expected…”

### Software Engineering Summer Intern at Facebook

Mar 30, 2010
 “25 racehorses, no stopwatch. 5 tracks. Figure out the top three fastest horses in the fewest number of races.”

### Summer Intern at Five Rings Capital

Apr 25, 2012
 “• Is 1027 a prime number?• How would you write an algorithm that identifies prime numbers?• 2 blue and 2 red balls, in a box, no replacing. Guess the color of the ball, you receive a dollar if…”

### Quantitative Researcher Summer Intern at Jane Street

Apr 17, 2011
 “2) A. 10 ropes, each one has one red end and one blue end. Each time, take out a red and a blue end, make them together. Repeat 10 times. The expectation of the number of loops.B. 10 ropes, no…”

### Quantitative Researcher Summer Intern at Jane Street

Apr 17, 2011
 “1) Tow coins, P(head)=1/3, P(tail)=2/3, design a way to get the effect of fair coin”

Aug 16, 2011
 “To write down code for x^n in O(logn) time.”

### Summer Technology Intern at Goldman Sachs

Jan 14, 2013
 “If you have a calculator with only the number zero and every single operator, how can you get the number 24?”

### Summer Investment Banking Intern at BMO Capital Markets

Mar 9, 2010
 “How do the balance sheet and income statement relate?”
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