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Optiver Interview Questions

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Style mock based on candidate reports — not official questions; formats change.

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Problems
34
Topics
8
Hard
1

Optiver is a global market maker whose trader interviews lean hard on fast mental math, expected value and options intuition under time pressure. Below are 34 quant interview questions of the kind asked at Optiver, spanning Brain Teasers, Probability, Stochastic Processes, Calculus & Linear Algebra, Algorithms & Numerical, Finance, Options & Greeks, Market Making & Games. Each comes with a full worked solution — sign in to check your answers and track your progress.

Preparing for Optiver? Read the guide: Optiver Interview Questions: Mental Math, Options Intuition and Market Making

1
Screwy Pirates
Brain TeasersJane StreetOptiver
51%Hard
10
Mislabeled Jars
Brain TeasersJane StreetOptiver
59%Medium
15
Ants on a Triangle
Brain TeasersGoldman SachsOptiver
84%Medium
25
Flips Until First Head
ProbabilityOptiverIMC Trading
69%Easy
27
Two Dice Sum to 7
ProbabilityOptiverIMC Trading
85%Easy
30
Top Two Aces
ProbabilitySIG / SusquehannaOptiver
63%Medium
33
Expected Max of Two Dice
ProbabilityOptiverIMC Trading
41%Medium
35
Expected Min of Two Dice
ProbabilityOptiverSIG / Susquehanna
71%Medium
38
Expected Rolls for a Six
ProbabilityOptiverIMC Trading
79%Easy
39
At Least One Six
ProbabilitySIG / SusquehannaOptiver
60%Easy
43
The Shorter Piece
ProbabilityOptiverMorgan Stanley
52%Medium
45
Galileo’s Three Dice
ProbabilityOptiverIMC Trading
58%Medium
59
How Long Until Ruin or Riches
Stochastic ProcessesOptiverSIG / Susquehanna
57%Medium
77
Approximate cos(0.1)
Calculus & Linear AlgebraJane StreetOptiver
84%Easy
89
Rand10() from Rand7()LeetCode
Algorithms & NumericalJane StreetOptiver
Medium
94
Best Time to Buy and Sell Stock IILeetCode
Algorithms & NumericalOptiverJane Street
Medium
98
Predict the WinnerLeetCode
Algorithms & NumericalJane StreetOptiver
Medium
108
Futures Fair Value
FinanceGoldman SachsOptiver
63%Easy
121
Delta of an ATM Call
Options & GreeksOptiverIMC Trading
61%Easy
122
Delta of a Forward
Options & GreeksOptiverIMC Trading
73%Easy
123
Gamma Near Expiry
Options & GreeksOptiverIMC Trading
66%Medium
124
Most Negative Put Delta
Options & GreeksGoldman SachsOptiver
66%Easy
125
Sign of Theta
Options & GreeksOptiverSIG / Susquehanna
71%Medium
126
Sign & Peak of Vega
Options & GreeksOptiverIMC Trading
74%Easy
127
Delta Hedging
Options & GreeksOptiverCitadel Securities
76%Easy
129
Delta of an ATM Straddle
Options & GreeksOptiverIMC TradingSIG / Susquehanna
73%Medium
131
Value of a Box Spread
Options & GreeksOptiverCitadel Securities
69%Medium
133
Delta of a Deep ITM Call
Options & GreeksIMC TradingOptiver
74%Easy
137
Make a Market on Two Dice
Market Making & GamesOptiverSIG / Susquehanna
87%Easy
138
Fair Value of a Loaded Die
Market Making & GamesOptiverIMC Trading
68%Medium
143
Odds to Probability
Market Making & GamesFlow TradersOptiver
39%Easy
146
Two-Thirds of the Average
Market Making & GamesJane StreetOptiver
65%Medium
150
Piano Tuners in Chicago
Market Making & GamesOptiverIMC Trading
65%Easy
151
Skewing Off an Inventory
Market Making & GamesOptiverFlow Traders
76%Easy

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