Optiver Quant Interview Questions
Optiver is well known for its timed mental-math and sequences assessments, plus probability and market-making questions that reward speed and accuracy under pressure.
105 questions tagged to Optiver · 65 free to practise now.
Topics:ProbabilityExpected ValueCombinatoricsRandom VariablesMarket Making & Betting GamesBrainteasers
- 1 before 2EasyProbabilityCombinatoricsView →
- A limit by L'HôpitalEasyCalculusView →
- Anagram checkEasyProgramming & DSAView →
- Ants on a triangleEasyProbabilityBrainteasersView →
- Asking around for a birthday matchEasyProbabilityExpected ValueView →
- At least one 3EasyProbabilityView →
- Big-O of nested loopEasyProgramming & DSAView →
- Binary search invariantEasyProgramming & DSAView →
- Binomial momentsEasyRandom VariablesStatisticsView →
- Bull spread payoffEasyFinance & DerivativesView →
- CDF of a maximum of uniformsEasyRandom VariablesStatisticsView →
- Correlation of X with aX+bEasyStatisticsView →
- Counting people from handshakesEasyCombinatoricsView →
- Deduplicate a sorted arrayEasyProgramming & DSAView →
- Divisible by 3 or 5EasyCombinatoricsView →
- Dot productEasyLinear AlgebraView →
- Even die, conditional meanEasyConditional Probability & ExpectationExpected ValueView →
- Even productEasyProbabilityView →
- Even sum from two diceEasyProbabilityView →
- Expected flips to first headEasyProbabilityExpected ValueView →
- Expected profit of a paid dice rollEasyExpected ValueMarket Making & Betting GamesView →
- Fair price of a heads payoutEasyProbabilityExpected ValueView →
- Gambler's fallacy checkEasyProbabilityConditional Probability & ExpectationView →
- Handshakes in a roomEasyCombinatoricsView →
- High die, conditional meanEasyConditional Probability & ExpectationExpected ValueView →
- Inside the inner circleEasyProbabilityView →
- Limit of (1 + 1/n)^nEasyCalculusView →
- Limit of sin x over xEasyCalculusView →
- Lottery drawEasyProbabilityCombinatoricsView →
- Make a market on a coin's heads countEasyProbabilityExpected ValueView →
- Merge two sorted arraysEasyProgramming & DSAView →
- Multiply by 7 with shiftsEasyProgramming & DSAView →
- No Poisson arrival in a windowEasyProbabilityStochastic ProcessesView →
- Normalizing a linear densityEasyRandom VariablesCalculusView →
- One re-roll allowedEasyExpected ValueView →
- Picking a committeeEasyCombinatoricsView →
- Pigeonhole by monthEasyCombinatoricsBrainteasersView →
- Probability of hitting an exact valueEasyProbabilityRandom VariablesView →
- Product of two diceEasyExpected ValueMarket Making & Betting GamesView →
- Reading a z-scoreEasyRandom VariablesStatisticsView →
- Red or kingEasyProbabilityView →
- Rolls to see a 6EasyProbabilityExpected ValueView →
- Rope around the EarthEasyBrainteasersView →
- Scoops with repetitionEasyCombinatoricsView →
- Shared-birthday pairsEasyProbabilityExpected ValueView →
- Stop at the first girlEasyProbabilityView →
- Sum of two dice marketEasyExpected ValueMarket Making & Betting GamesView →
- Summing normalsEasyRandom VariablesStatisticsView →
- The memoryless propertyEasyProbabilityRandom VariablesView →
- Three dice, increasingEasyProbabilityCombinatoricsView →
- Triangles from pointsEasyCombinatoricsView →
- Two coins, at least one headEasyProbabilityConditional Probability & ExpectationView →
- Variance of a dice sumEasyRandom VariablesStatisticsView →
- Variance of a uniformEasyRandom VariablesStatisticsView →
- Variance of an indicatorEasyRandom VariablesStatisticsView →
- What implied volatility isEasyFinance & DerivativesView →
- Who wins the first head?EasyProbabilityView →
- A 5 before a 7MediumProbabilityView →
- Bridge and torchMediumBrainteasersView →
- Expected maximum of two diceMediumRandom VariablesExpected ValueView →
- First consecutive repeatMediumProbabilityExpected ValueView →
- First head on an even flipMediumProbabilityView →
- Lattice pathsMediumCombinatoricsView →
- Two ropes, 45 minutesMediumBrainteasersView →
- de Méré's betMediumProbabilityMarket Making & Betting GamesView →
- Angle at 3:15MediumBrainteasers Premium
- Butterfly spread max payoffMediumFinance & Derivatives Premium
- Calendar spread intuitionMediumFinance & Derivatives Premium
- Capturing the spreadMediumMarket Making & Betting Games Premium
- Correlation of overlapping sumsMediumRandom VariablesStatistics Premium
- Delta-hedge share countMediumFinance & Derivatives Premium
- Dice payoff via WaldMediumExpected ValueStochastic Processes Premium
- Distinct birthdays representedMediumProbabilityExpected Value Premium
- Distributing identical candiesMediumCombinatorics Premium
- Empty boxesMediumExpected Value Premium
- Expected flips for HTMediumExpected ValueStochastic Processes Premium
- Fair price of a three-flip heads gameMediumProbabilityExpected Value Premium
- Forward price with carryMediumFinance & Derivatives Premium
- Frog in the wellMediumBrainteasers Premium
- HT before HH in coin flipsMediumProbabilityStochastic Processes Premium
- Implicit differentiation on a circleMediumCalculus Premium
- Limit of x ln x as x to 0+MediumCalculus Premium
- Make a market on a dieMediumExpected ValueMarket Making & Betting Games Premium
- Nine coins, one heavyMediumCombinatoricsBrainteasers Premium
- Pair at a round tableMediumCombinatorics Premium
- Pay to play with a capMediumExpected ValueMarket Making & Betting Games Premium
- Pricing a digital die betMediumProbabilityExpected Value Premium
- Prime sumMediumProbability Premium
- Rare-event Poisson approximationMediumProbabilityRandom Variables Premium
- Rice on the chessboardMediumBrainteasers Premium
- Sum of 10 with three diceMediumProbabilityCombinatorics Premium
- The missing dollarMediumBrainteasers Premium
- Thinning a Poisson processMediumProbabilityStochastic Processes Premium
- Three dots on a squareMediumProbabilityCombinatorics Premium
- Three rolls, keep the lastMediumExpected Value Premium
- Two trains and a flyMediumBrainteasers Premium
- Two uniforms summing past 1.5MediumProbabilityCalculus Premium
- Variance from a uniform dieMediumRandom VariablesExpected Value Premium
- Volatility smile meaningMediumStatisticsFinance & Derivatives Premium
- When gamma is largestMediumFinance & Derivatives Premium
- When vega is largestMediumFinance & Derivatives Premium
- Winner's curseMediumMarket Making & Betting Games Premium
- Balloon related ratesHardCalculus Premium
- Inventory skewHardMarket Making & Betting Games Premium
- Three-jug measuringHardBrainteasers Premium
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