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Jane Street Interview Questions

Problems
42
Topics
9
Hard
14

Jane Street is a proprietary trading firm known for ETF and options market-making and a famously probability- and mental-math-heavy interview process. Below are 42 quant interview questions of the kind asked at Jane Street, spanning Brain Teasers, Probability, Stochastic Processes, Calculus & Linear Algebra, Algorithms & Numerical, Options & Greeks, Market Making & Games, Portfolio & Risk, Statistics. Each comes with a full worked solution — sign in to check your answers and track your progress.

Preparing for Jane Street? Read the guide: Jane Street Interview Questions: What They Ask and How to Prepare

1
Screwy Pirates
Brain TeasersJane StreetOptiver
51%Hard
6
Sum 1 to 100
Brain TeasersJane StreetGoldman Sachs
72%Easy
8
Poisoned Wine
Brain TeasersGoogleJane Street
35%Medium
10
Mislabeled Jars
Brain TeasersJane StreetOptiver
59%Medium
12
12 Balls, One Odd
Brain TeasersCitadelJane StreetTwo Sigma
45%Hard
14
Bridge Crossing
Brain TeasersGoogleJane Street
49%Medium
18
The Camel and the Bananas
Brain TeasersJane StreetGoogle
40%Hard
19
The Blue-Eyed Islanders
Brain TeasersJane StreetTwo Sigma
40%Hard
21
Coin Toss — Two Heads
ProbabilityJane Street
53%Easy
26
Drunk Passenger
ProbabilityJane StreetCitadel
55%Medium
29
Broken Stick Triangle
ProbabilityJane StreetCitadel
43%Medium
31
Hat Check
ProbabilityJane StreetDE Shaw
72%Medium
34
Russian Roulette — Spin?
ProbabilityJane StreetCitadel
62%Medium
40
Expected Max of Two Uniforms
ProbabilityJane StreetCitadel
51%Medium
41
The Tuesday Boy
ProbabilityJane StreetSIG / Susquehanna
44%Hard
42
The 100 Prisoners Problem
ProbabilityJane StreetTwo Sigma
45%Hard
44
The Secretary Problem
ProbabilityJane StreetDE Shaw
44%Medium
46
Flips Until Two Heads in a Row
Stochastic ProcessesJane StreetCitadel
44%Medium
47
Gambler’s Ruin
Stochastic ProcessesJane StreetSIG / Susquehanna
72%Medium
51
Expected Flips for HTH
Stochastic ProcessesJane StreetSIG / Susquehanna
45%Hard
54
Random Walk — Expected Steps
Stochastic ProcessesJane StreetTwo Sigma
57%Hard
56
The Ballot Problem
Stochastic ProcessesJane StreetDE Shaw
47%Hard
66
Derivative of xˣ
Calculus & Linear AlgebraJane StreetCitadel
83%Medium
67
Maximize x^(1/x)
Calculus & Linear AlgebraJane StreetSIG / Susquehanna
51%Hard
73
Sum of First 10 Squares
Calculus & Linear AlgebraJane StreetTwo Sigma
87%Easy
77
Approximate cos(0.1)
Calculus & Linear AlgebraJane StreetOptiver
84%Easy
80
Trapping Rain WaterLeetCode
Algorithms & NumericalJane StreetCitadel Securities
Hard
88
Newton’s Method for √2
Algorithms & NumericalGoldman SachsJane Street
79%Easy
89
Rand10() from Rand7()LeetCode
Algorithms & NumericalJane StreetOptiver
Medium
94
Best Time to Buy and Sell Stock IILeetCode
Algorithms & NumericalOptiverJane Street
Medium
95
Gas StationLeetCode
Algorithms & NumericalJane StreetCitadel
Medium
97
Nim GameLeetCode
Algorithms & NumericalJane StreetSIG / Susquehanna
Easy
98
Predict the WinnerLeetCode
Algorithms & NumericalJane StreetOptiver
Medium
130
How Dear Can a Call Be?
Options & GreeksJane StreetAkuna Capital
76%Easy
139
Roll, Keep or Re-roll
Market Making & GamesJane StreetSIG / Susquehanna
45%Medium
140
The Red–Black Card Game
Market Making & GamesJane StreetCitadel Securities
39%Hard
146
Two-Thirds of the Average
Market Making & GamesJane StreetOptiver
65%Medium
147
Shading a First-Price Bid
Market Making & GamesJane StreetDE Shaw
55%Hard
149
The St. Petersburg Game
Market Making & GamesJane StreetTwo Sigma
62%Medium
152
The Two-Envelope Paradox
Market Making & GamesJane Street
51%Hard
161
Kelly Criterion
Portfolio & RiskCitadelJane Street
59%Medium
185
Correlation of X with X + Y
StatisticsJane StreetCitadel
57%Medium

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