Hard Systematic & Data-Driven Trading Interview Questions
If the standard systematic & data-driven trading set feels comfortable, this is the calibration check.
96 questions, 58 of them free to practise right now. The topics that come up most are probability (38), combinatorics (30), expected value (23), brainteasers (20).
- A 12 before two 7sHardProbabilityStochastic ProcessesView →
- A function minus its derivativeHardCalculusView →
- A geometric series that sums to a squareHardBrainteasersView →
- A half-plane, given positiveHardProbabilityRandom VariablesView →
- A rectangle over the shaded rowHardProbabilityCombinatoricsView →
- A weighted sum of binomialsHardCombinatoricsBrainteasersView →
- Average of near-diagonal numbersHardCombinatoricsBrainteasersView →
- Cars advancing to the endHardProbabilityExpected ValueView →
- Conditioning a Brownian bridgeHardStochastic ProcessesView →
- Covariance of X with Y squaredHardRandom VariablesStatisticsView →
- Cuts until one orb remainsHardProbabilityExpected ValueView →
- Digits with distinct pairwise sumsHardCombinatoricsBrainteasersView →
- Distinct toys from seven boxesHardProbabilityExpected ValueView →
- Doors toggled by primesHardCombinatoricsBrainteasersView →
- Draws to beat a hidden uniformHardRandom VariablesExpected ValueView →
- Draws to pass a log thresholdHardProbabilityRandom VariablesView →
- Draws to pass twoHardProbabilityRandom VariablesView →
- Expected arc covering a fixed pointHardProbabilityExpected ValueView →
- Expected largest of ten ballsHardCombinatoricsExpected ValueView →
- Head density with no two in a rowHardProbabilityCombinatoricsView →
- Hitting zero on a ringHardProbabilityStochastic ProcessesView →
- How many long cycles?HardProbabilityCombinatoricsView →
- Locks for a four-of-seven safeHardCombinatoricsBrainteasersView →
- Long cycles in a random permutationHardCombinatoricsExpected ValueView →
- Loops from tying noodlesHardProbabilityExpected ValueView →
- Mean of a mean-reverting processHardStochastic ProcessesFinance & DerivativesView →
- No two samples too closeHardProbabilityCombinatoricsView →
- Odd sums on a 3×3 gridHardProbabilityCombinatoricsView →
- Only seven left unchosenHardProbabilityCombinatoricsView →
- Overshoot past oneHardProbabilityRandom VariablesView →
- Pairing gloves within oneHardProbabilityCombinatoricsView →
- Pairing with a difference of 1 or 11HardCombinatoricsBrainteasersView →
- Penalty kicks with a shifting rateHardProbabilityRandom VariablesView →
- Quadratic variation in mean-squareHardStochastic ProcessesView →
- Range beats the midpointHardProbabilityRandom VariablesView →
- Reading N(d₂) in Black–ScholesHardFinance & DerivativesView →
- Rolls to a six, given all evenHardConditional Probability & ExpectationExpected ValueView →
- Rounds to see all faces with two diceHardProbabilityExpected ValueView →
- Runs of red and blue marblesHardCombinatoricsExpected ValueView →
- Shuffles to restore the deckHardCombinatoricsBrainteasersView →
- Smallest possible MGF valueHardRandom VariablesStatisticsView →
- Spread of a lognormal raised to the fourthHardRandom VariablesStatisticsView →
- Spread of a multinomial count gapHardRandom VariablesStatisticsView →
- Subsets with one consecutive pairHardCombinatoricsView →
- Sum of repeating decimalsHardCombinatoricsBrainteasersView →
- Ten prime digits with a set productHardCombinatoricsView →
- The decreasing run of uniformsHardRandom VariablesExpected ValueView →
- The drunk passengerHardProbabilityConditional Probability & ExpectationView →
- Three eggs, nine dropsHardCombinatoricsBrainteasersView →
- Two Brownian values, both positiveHardProbabilityStochastic ProcessesView →
- Two walks returning togetherHardProbabilityCombinatoricsView →
- Two-color necklacesHardCombinatoricsView →
- Uniforms summing past 1HardRandom VariablesExpected ValueView →
- Variance of an Itô integralHardStochastic ProcessesView →
- Variance of the exponential of a gammaHardRandom VariablesStatisticsView →
- Variance under random parametersHardRandom VariablesStatisticsView →
- When k-to-the-k is a squareHardCombinatoricsBrainteasersView →
- When the extremes sum above oneHardProbabilityRandom VariablesView →
- A telescoping partial-fraction sumHardCalculus Premium
- Absorption in naive floating-point summationHardCalculusProgramming & DSA Premium
- Ages from product and sumHardCombinatoricsBrainteasers Premium
- Amoeba extinctionHardProbabilityStochastic Processes Premium
- Bertrand's chordHardProbabilityBrainteasers Premium
- Blue-eyed islandersHardBrainteasers Premium
- Branching process extinction (supercritical)HardProbabilityStochastic Processes Premium
- Broken-stick triangleHardProbability Premium
- Buffon's needleHardProbabilityCalculus Premium
- Correlation of min and maxHardProbabilityRandom Variables Premium
- Cycles in a shuffleHardCombinatoricsExpected Value Premium
- Draws until a smaller valueHardExpected Value Premium
- Ehrenfest urn stationary distributionHardProbabilityStochastic Processes Premium
- Expected duration of a fair walkHardExpected ValueStochastic Processes Premium
- Expected revisits of the start stateHardExpected ValueStochastic Processes Premium
- Exponential martingale compensatorHardCalculusStochastic Processes Premium
- Handshakes at a dinner partyHardCombinatoricsBrainteasers Premium
- Hats with 100 colorsHardBrainteasers Premium
- Inverse via Cayley–HamiltonHardLinear Algebra Premium
- Laplace's rule of successionHardProbabilityConditional Probability & Expectation Premium
- Last one standingHardCombinatoricsBrainteasers Premium
- Making change in lineHardCombinatoricsStochastic Processes Premium
- Median of a streamHardStatisticsProgramming & DSA Premium
- Minimum coins where greedy failsHardProgramming & DSA Premium
- Optional stopping between +3 and −5HardExpected ValueStochastic Processes Premium
- Order statistics are BetaHardRandom VariablesStatistics Premium
- Pricing an inverse floaterHardFinance & Derivatives Premium
- Prisoners and the boxesHardProbabilityBrainteasers Premium
- Quadratic variation of a scaled Itô integralHardCalculusStochastic Processes Premium
- Reflected paths ending below the levelHardProbabilityStochastic Processes Premium
- Repainting balls to one colorHardExpected ValueStochastic Processes Premium
- Reservoir samplingHardStatisticsProgramming & DSA Premium
- The racing camelsHardBrainteasers Premium
- The two-envelopes paradoxHardProbabilityConditional Probability & Expectation Premium
- Triangle from three independent sticksHardProbabilityCalculus Premium
- Two Newton iterations for a square rootHardCalculusProgramming & DSA Premium
- Two coprime integersHardProbabilityCombinatorics Premium
- Two eggs, 100 floorsHardBrainteasers Premium
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