Hard Systematic & Data-Driven Trading Interview Questions
If the standard systematic & data-driven trading set feels comfortable, this is the calibration check.
96 questions, all free to practise. 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 telescoping partial-fraction sumHardCalculusView →
- A weighted sum of binomialsHardCombinatoricsBrainteasersView →
- Absorption in naive floating-point summationHardCalculusProgramming & DSAView →
- Ages from product and sumHardCombinatoricsBrainteasersView →
- Amoeba extinctionHardProbabilityStochastic ProcessesView →
- Average of near-diagonal numbersHardCombinatoricsBrainteasersView →
- Bertrand's chordHardProbabilityBrainteasersView →
- Blue-eyed islandersHardBrainteasersView →
- Branching process extinction (supercritical)HardProbabilityStochastic ProcessesView →
- Broken-stick triangleHardProbabilityView →
- Buffon's needleHardProbabilityCalculusView →
- Cars advancing to the endHardProbabilityExpected ValueView →
- Conditioning a Brownian bridgeHardStochastic ProcessesView →
- Correlation of min and maxHardProbabilityRandom VariablesView →
- Covariance of X with Y squaredHardRandom VariablesStatisticsView →
- Cuts until one orb remainsHardProbabilityExpected ValueView →
- Cycles in a shuffleHardCombinatoricsExpected 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 →
- Draws until a smaller valueHardExpected ValueView →
- Ehrenfest urn stationary distributionHardProbabilityStochastic ProcessesView →
- Expected arc covering a fixed pointHardProbabilityExpected ValueView →
- Expected duration of a fair walkHardExpected ValueStochastic ProcessesView →
- Expected largest of ten ballsHardCombinatoricsExpected ValueView →
- Expected revisits of the start stateHardExpected ValueStochastic ProcessesView →
- Exponential martingale compensatorHardCalculusStochastic ProcessesView →
- Handshakes at a dinner partyHardCombinatoricsBrainteasersView →
- Hats with 100 colorsHardBrainteasersView →
- Head density with no two in a rowHardProbabilityCombinatoricsView →
- Hitting zero on a ringHardProbabilityStochastic ProcessesView →
- Inverse via Cayley–HamiltonHardLinear AlgebraView →
- Laplace's rule of successionHardProbabilityConditional Probability & ExpectationView →
- Last one standingHardCombinatoricsBrainteasersView →
- Locks for a four-of-seven safeHardCombinatoricsBrainteasersView →
- Long cycles in a random permutationHardCombinatoricsExpected ValueView →
- Loops from tying noodlesHardProbabilityExpected ValueView →
- Making change in lineHardCombinatoricsStochastic ProcessesView →
- Mean of a mean-reverting processHardStochastic ProcessesFinance & DerivativesView →
- Median of a streamHardStatisticsProgramming & DSAView →
- Minimum coins where greedy failsHardProgramming & DSAView →
- No two samples too closeHardProbabilityCombinatoricsView →
- Odd sums on a 3×3 gridHardProbabilityCombinatoricsView →
- Only seven left unchosenHardProbabilityCombinatoricsView →
- Optional stopping between +3 and −5HardExpected ValueStochastic ProcessesView →
- Order statistics are BetaHardRandom VariablesStatisticsView →
- Overshoot past oneHardProbabilityRandom VariablesView →
- Pairing gloves within oneHardProbabilityCombinatoricsView →
- Pairing with a difference of 1 or 11HardCombinatoricsBrainteasersView →
- Penalty kicks with a shifting rateHardProbabilityRandom VariablesView →
- Pricing an inverse floaterHardFinance & DerivativesView →
- Prisoners and the boxesHardProbabilityBrainteasersView →
- Quadratic variation in mean-squareHardStochastic ProcessesView →
- Quadratic variation of a scaled Itô integralHardCalculusStochastic ProcessesView →
- Range beats the midpointHardProbabilityRandom VariablesView →
- Reading N(d₂) in Black–ScholesHardFinance & DerivativesView →
- Reflected paths ending below the levelHardProbabilityStochastic ProcessesView →
- Repainting balls to one colorHardExpected ValueStochastic ProcessesView →
- Reservoir samplingHardStatisticsProgramming & DSAView →
- 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 →
- The racing camelsHardBrainteasersView →
- The two-envelopes paradoxHardProbabilityConditional Probability & ExpectationView →
- Three eggs, nine dropsHardCombinatoricsBrainteasersView →
- Triangle from three independent sticksHardProbabilityCalculusView →
- Two Brownian values, both positiveHardProbabilityStochastic ProcessesView →
- Two Newton iterations for a square rootHardCalculusProgramming & DSAView →
- Two coprime integersHardProbabilityCombinatoricsView →
- Two eggs, 100 floorsHardBrainteasersView →
- Two elements in the long cycleHardProbabilityCombinatoricsView →
- 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 →
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