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Optiver Interview Questions

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 25 quant interview questions of the kind asked at Optiver, spanning Brain Teasers, Probability, Calculus & Linear Algebra, Algorithms & Numerical, Finance, Options & Greeks. Each comes with a full worked solution — sign in to check your answers and track your progress.

1
Screwy Pirates
Brain TeasersJane StreetOptiver
Hard
10
Mislabeled Jars
Brain TeasersJane StreetOptiver
Medium
15
Ants on a Triangle
Brain TeasersGoldman SachsOptiver
Medium
22
Flips Until First Head
ProbabilityOptiverIMC Trading
Easy
24
Two Dice Sum to 7
ProbabilityOptiverIMC Trading
Easy
27
Top Two Aces
ProbabilitySIG / SusquehannaOptiver
Medium
30
Expected Max of Two Dice
ProbabilityOptiverIMC Trading
Medium
32
Expected Min of Two Dice
ProbabilityOptiverSIG / Susquehanna
Medium
35
Expected Rolls for a Six
ProbabilityOptiverIMC Trading
Easy
36
At Least One Six
ProbabilitySIG / SusquehannaOptiver
Easy
63
Approximate cos(0.1)
Calculus & Linear AlgebraJane StreetOptiver
Easy
75
Rand10() from Rand7()LeetCode
Algorithms & NumericalJane StreetOptiver
Medium
80
Best Time to Buy and Sell Stock IILeetCode
Algorithms & NumericalOptiverJane Street
Medium
84
Predict the WinnerLeetCode
Algorithms & NumericalJane StreetOptiver
Medium
94
Futures Fair Value
FinanceGoldman SachsOptiver
Easy
107
Delta of an ATM Call
Options & GreeksOptiverIMC Trading
Easy
108
Delta of a Forward
Options & GreeksOptiverIMC Trading
Easy
109
Gamma Near Expiry
Options & GreeksOptiverIMC Trading
Medium
110
Most Negative Put Delta
Options & GreeksGoldman SachsOptiver
Easy
111
Sign of Theta
Options & GreeksOptiverSIG / Susquehanna
Medium
112
Sign & Peak of Vega
Options & GreeksOptiverIMC Trading
Easy
113
Delta Hedging
Options & GreeksOptiverCitadel Securities
Easy
115
Delta of an ATM Straddle
Options & GreeksOptiverIMC TradingSIG / Susquehanna
Medium
117
Value of a Box Spread
Options & GreeksOptiverCitadel Securities
Medium
119
Delta of a Deep ITM Call
Options & GreeksIMC TradingOptiver
Easy

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