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Citadel Interview Questions

Problems
23
Topics
8
Hard
3

Citadel and Citadel Securities run some of the most competitive quant interviews in the industry, spanning probability, statistics and market-making intuition. Below are 23 quant interview questions of the kind asked at Citadel, spanning Brain Teasers, Probability, Stochastic Processes, Calculus & Linear Algebra, Algorithms & Numerical, Finance, Portfolio & Risk, Statistics. Each comes with a full worked solution — sign in to check your answers and track your progress.

12
12 Balls, One Odd
Brain TeasersCitadelJane StreetTwo Sigma
45%Hard
24
Birthday Problem
ProbabilityGoldman SachsCitadel
52%Medium
26
Drunk Passenger
ProbabilityJane StreetCitadel
55%Medium
29
Broken Stick Triangle
ProbabilityJane StreetCitadel
43%Medium
34
Russian Roulette — Spin?
ProbabilityJane StreetCitadel
62%Medium
40
Expected Max of Two Uniforms
ProbabilityJane StreetCitadel
51%Medium
46
Flips Until Two Heads in a Row
Stochastic ProcessesJane StreetCitadel
44%Medium
57
Hitting 3 Before 0
Stochastic ProcessesCitadelMorgan Stanley
77%Medium
61
Reflection Principle for the Maximum
Stochastic ProcessesCitadelDE Shaw
50%Hard
64
Eigenvalues of a 2×2
Calculus & Linear AlgebraGoldman SachsCitadel
80%Medium
66
Derivative of xˣ
Calculus & Linear AlgebraJane StreetCitadel
83%Medium
84
Random Pick with WeightLeetCode
Algorithms & NumericalCitadelTwo Sigma
Medium
95
Gas StationLeetCode
Algorithms & NumericalJane StreetCitadel
Medium
101
Find Median from Data StreamLeetCode
Algorithms & NumericalTwo SigmaCitadel
Hard
116
Forward Price with a Dividend Yield
FinanceJ.P. MorganCitadel
65%Medium
120
Real Rate of Return
FinancePIMCOCitadel
62%Easy
159
Diversification & Sharpe
Portfolio & RiskAQR CapitalCitadel
52%Medium
160
Maximum Drawdown
Portfolio & RiskCitadelTwo SigmaMan Group
52%Medium
161
Kelly Criterion
Portfolio & RiskCitadelJane Street
59%Medium
173
Variance of Uniform(0,1)
StatisticsGoldman SachsCitadel
71%Easy
179
Range of Correlation
StatisticsGoldman SachsCitadel
85%Easy
185
Correlation of X with X + Y
StatisticsJane StreetCitadel
57%Medium
188
Simpson’s Paradox
StatisticsTwo SigmaCitadel
69%Medium

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