# Research Interview Questions

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### Quant Research Intern at Susquehanna International Group, LLP

Mar 17, 2013
 “Suppose you have two covariance matrices A and B. Is AB also a covariance matrix? Suppose that, by plain dumb luck, we also have that AB=BA. Is AB a covariance matrix under this additional…”

### 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…”

### 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…”

### Quant Research Intern at Susquehanna International Group, LLP

Mar 17, 2013
 “Suppose you have 100 GB of data that you want to sort, but you only have 1 GB of memory. How would you sort this data?”

### Quantitative Researcher at Jane Street

Dec 21, 2011
 “A tosses n+1 coins. B tosses n coins. B wins if he has at least as many heads as A. What is the probability that B wins?”

### Quantitative Researcher at Jane Street

May 22, 2013
 “If X, Y and Z are three random variables such that X and Y have a correlation of 0.9, and Y and Z have correlation of 0.8, what are the minimum and maximum correlation that X and Z can have?”

### 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”

### Researcher at Jane Street

Feb 7, 2011
 “V~U[0,1]. Make a bet B, for V, and will be awarded 1,5 times V if B>V, otherwise your bet is worthless - you do not lose anything as well. What is your bet?”

### Quantitative Research at Morgan Stanley

Jan 4, 2011
 “5 babies in a room, 2 boys and 3 girls. one baby with unknown sex is added. Randomly choose one baby and the result is a boy. What's the prob that the added baby is a boy?”

### Quantitatiave Research Associate at Susquehanna International Group, LLP

Oct 30, 2013
 “There is a game where you have three coins, and your opponent has three coins. You both flip your coins at the same time. If the number of heads you have matches the number of heads he has, then you…”
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