Mixed Quant & Coding Interview Questions
Mixed quant-and-coding interviews combine probability, statistics, and brainteasers with real programming, favouring candidates who reason precisely and implement cleanly.
Expect probability and statistics questions that test how you handle uncertainty, brainteasers, and - for developer and quant roles - Python and algorithmic coding. Trading rounds add risk and decision-making scenarios drawn from the asset classes the desk trades.
A representative process starts with a timed at-home technical challenge - an automated coding test for software roles, or a probability-and-logic challenge for trading and quant roles - followed by a video interview and an in-person final round, which for quantitative trading tracks often adds a coding challenge and a trading simulation.
121 questions tagged to Mixed Quant & Coding · 50 free to practise now.
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This format spans probability, statistics, brainteasers, and programming. Build breadth with:
- A hundred days of compoundingEasyBrainteasersFinance & DerivativesView →
- A majority of onesEasyCombinatoricsView →
- A perfect-power dice sumEasyProbabilityCombinatoricsView →
- A race between two small-angle ratesEasyCalculusView →
- A repeated digit in the PINEasyProbabilityCombinatoricsView →
- A two-sigma tail probabilityEasyRandom VariablesStatisticsView →
- Additions in a naive moving averageEasyProgramming & DSAView →
- Chi-square test for a varianceEasyStatisticsView →
- Correlation of two event indicatorsEasyProbabilityStatisticsView →
- Divisible by 2 or 3EasyCombinatoricsView →
- Net P&L of a two-leg book from DV01EasyFinance & DerivativesView →
- Numbers with exactly two set bitsEasyProgramming & DSAView →
- Paid a dollar or the drawEasyExpected ValueStatisticsView →
- R-squared when you duplicate every pointEasyStatisticsView →
- Recover an XOR of two unknownsEasyProgramming & DSAView →
- Regressing with zero covarianceEasyRandom VariablesStatisticsView →
- Ripple on a pondEasyCalculusView →
- Settlement on a pay-fixed FRAEasyFinance & DerivativesView →
- Sharing your weekday of birthEasyProbabilityView →
- Sharpe of two combined uncorrelated strategiesEasyStatisticsFinance & DerivativesView →
- Slope of a product at a special pointEasyCalculusView →
- The costliest roulette bet on the tableEasyProbabilityExpected ValueView →
- Three-one strings with matching endpointsEasyCombinatoricsView →
- 1000 bottles, one poisonedMediumBrainteasersView →
- A Cholesky diagonal entryMediumLinear AlgebraView →
- A point near the cone's baseMediumProbabilityCalculusView →
- Coin-pile NimMediumBrainteasersMarket Making & Betting GamesView →
- Covariance of sum and differenceMediumRandom VariablesStatisticsView →
- Density of a sum of two uniformsMediumProbabilityRandom VariablesView →
- Dice game, up to three rollsMediumExpected ValueStochastic ProcessesView →
- Exact comparisons for min and maxMediumProgramming & DSAView →
- Expectation as a sum of tailsMediumRandom VariablesExpected ValueView →
- Fair outcome from a biased coinMediumProbabilityStatisticsView →
- Full housesMediumProbabilityCombinatoricsView →
- Gambler's ruinMediumProbabilityStochastic ProcessesView →
- Newton's division-free reciprocalMediumCalculusView →
- Number of runsMediumExpected ValueView →
- OLS slope from four pointsMediumStatisticsView →
- One hundred light bulbsMediumBrainteasersView →
- Order statistics of two uniformsMediumRandom VariablesStatisticsView →
- Rate of a growing shadowMediumCalculusView →
- Rehedging a book after a moveMediumFinance & DerivativesView →
- Sum of independent PoissonsMediumProbabilityRandom VariablesView →
- The profitable range of a short strangleMediumFinance & DerivativesView →
- Tiling a stripMediumCombinatoricsView →
- Volume where two cylinders crossMediumCalculusView →
- When time decay reversesMediumFinance & DerivativesView →
- Which deck for two reds?MediumProbabilityView →
- Whose draw is larger?MediumProbabilityView →
- Winner's curseMediumMarket Making & Betting GamesView →
- Both sixes given at least oneEasyProbabilityConditional Probability & Expectation Premium
- Two heads given an even countEasyProbabilityConditional Probability & Expectation Premium
- A family clustered at a round tableMediumCombinatorics Premium
- A stationary probabilityMediumStochastic Processes Premium
- Absorption probability on a lineMediumProbabilityStochastic Processes Premium
- Arbitraging a mispriced forward loanMediumFinance & Derivatives Premium
- Arc length of a curveMediumCalculus Premium
- Arrivals before the rival streamMediumProbabilityStochastic Processes Premium
- Backing out a correlationMediumRandom VariablesStatistics Premium
- Backing out the informed flow from imbalanceMediumMarket Making & Betting Games Premium
- Both even given an even sumMediumProbabilityConditional Probability & Expectation Premium
- Buyer count in a thinned arrival streamMediumProbabilityStochastic Processes Premium
- Cheapest open-top boxMediumCalculus Premium
- Convergence of the integral of x^(-p)MediumCalculus Premium
- Count set bitsMediumProgramming & DSA Premium
- Counting the innermost callsMediumProgramming & DSA Premium
- Cutting a cubeMediumBrainteasers Premium
- Derangements of four itemsMediumCombinatorics Premium
- Diversified VaR of two positionsMediumStatisticsFinance & Derivatives Premium
- Duration-plus-convexity price moveMediumFinance & Derivatives Premium
- Euclid's worst-case step countMediumProgramming & DSA Premium
- Expectation of −2 ln UMediumRandom VariablesCalculus Premium
- Expected exponential of Brownian motionMediumStochastic Processes Premium
- Expected maximum of three diceMediumRandom VariablesExpected Value Premium
- Expected sum of a random subsetMediumExpected Value Premium
- First to roll a sixMediumProbability Premium
- Five distinct ranksMediumProbabilityCombinatorics Premium
- Forward vs. futures priceMediumFinance & Derivatives Premium
- Integral by substitution: 2x e^(x^2)MediumCalculus Premium
- Inventory-skewed reservation priceMediumMarket Making & Betting Games Premium
- Inversions in a shuffleMediumCombinatoricsExpected Value Premium
- Joint default rangeMediumProbabilityFinance & Derivatives Premium
- Larger eigenvalue of a 2×2MediumLinear Algebra Premium
- Last two digits of a powerMediumCombinatoricsBrainteasers Premium
- Leibniz rule derivative at x = 1MediumCalculus Premium
- Macaulay duration of a coupon bondMediumFinance & Derivatives Premium
- Optimal bid-ask placementMediumMarket Making & Betting Games Premium
- Par swap rate definitionMediumFinance & Derivatives Premium
- Periodicity and limiting distributionMediumStochastic Processes Premium
- Position of the first spadeMediumCombinatoricsExpected Value Premium
- Pricing a coupon bond off the spot curveMediumFinance & Derivatives Premium
- Reaching the target before ruinMediumStochastic Processes Premium
- Reading order flowMediumMarket Making & Betting Games Premium
- Reducing a matrix power with Cayley–HamiltonMediumLinear Algebra Premium
- Remaining life of a memoryless partMediumRandom Variables Premium
- Renewal-reward fraction of time runningMediumExpected ValueStochastic Processes Premium
- Return time from a three-state chainMediumStochastic Processes Premium
- Rolls until a face repeatsMediumProbabilityExpected Value Premium
- Short-straddle P&L when vol stays lowMediumFinance & Derivatives Premium
- Sift-up swaps in a binary heapMediumProgramming & DSA Premium
- Spaced onesMediumCombinatorics Premium
- The Markov propertyMediumStochastic Processes Premium
- The St. Petersburg paradoxMediumExpected ValueMarket Making & Betting Games Premium
- The costliest mergeMediumProgramming & DSA Premium
- The half-full nodeMediumProgramming & DSA Premium
- The painted cubeMediumBrainteasers Premium
- Two uniforms summing below a halfMediumProbabilityRandom Variables Premium
- Two uniforms summing past 1.5MediumProbabilityCalculus Premium
- Two-sided p-value of a mean testMediumStatistics Premium
- Variance of a compound daily totalMediumRandom Variables Premium
- Variance of a lognormalMediumRandom VariablesFinance & Derivatives Premium
- Variance of coins-per-die headsMediumRandom VariablesStatistics Premium
- What a p-value isMediumStatistics Premium
- When does the system fail to have a unique solution?MediumLinear Algebra Premium
- Where the slope is steepest downhillMediumCalculus Premium
- Within distance d on the unit intervalMediumProbabilityCalculus Premium
- Absorption in naive floating-point summationHardCalculusProgramming & DSA Premium
- Defective stack of coinsHardCombinatoricsBrainteasers Premium
- Expected comparisons, from first principlesHardProgramming & DSA Premium
- Expected duration of a fair walkHardExpected ValueStochastic Processes Premium
- Reflecting wall first-passage timeHardExpected ValueStochastic Processes Premium
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Start practising freeFrequently asked questions
- What does a mixed quant and coding interview cover?
- Probability, statistics, and brainteasers, plus programming and data structures for engineering and quant-developer roles. Precise reasoning is the throughline.
- How do I prepare?
- Drill a broad probability and statistics set, practise brainteasers, and keep your coding sharp for technical roles. Reviewing worked solutions sharpens the precision expected.
- Is programming always required?
- For quant-developer and engineering roles, yes - expect data-structures and algorithms questions. Pure-trading roles weight quantitative reasoning more heavily.