Trading Aptitude Tests Interview Questions for Quant Researchers
The same round is marked differently depending on the seat you are interviewing for. This is the trading aptitude tests set as it applies to quant researchers.
55 questions, all free to practise. The split is 27 easy, 28 medium. The topics that come up most are random variables (16), brainteasers (12), probability (12), expected value (9).
- A limit that hides a difference of logsEasyCalculusView →
- A mile with no windEasyBrainteasersView →
- A mixed second partial derivativeEasyCalculusView →
- At least one blue and one greenEasyProbabilityCombinatoricsView →
- Average distance on an intervalEasyRandom VariablesView →
- Color switches in a drawEasyRandom VariablesExpected ValueView →
- Correlation from a summed varianceEasyRandom VariablesStatisticsView →
- Correlation under rescalingEasyRandom VariablesStatisticsView →
- Expected flips after a losing startEasyProbabilityExpected ValueView →
- Finding the number of blue socksEasyProbabilityCombinatoricsView →
- How many sixes on the die?EasyExpected ValueBrainteasersView →
- Landing two above the startEasyStochastic ProcessesView →
- Lapping on the trackEasyBrainteasersView →
- Largest possible covarianceEasyRandom VariablesStatisticsView →
- Normalizing a tilted densityEasyRandom VariablesCalculusView →
- Profit from a favourable stopping gameEasyExpected ValueStochastic ProcessesView →
- Round table with a couple togetherEasyCombinatoricsView →
- Second moment from varianceEasyRandom VariablesStatisticsView →
- Spread of a two-card sumEasyRandom VariablesStatisticsView →
- The peak of a decaying pulseEasyCalculusView →
- The price of a triangular gardenEasyBrainteasersView →
- The weight of the fishEasyBrainteasersView →
- Three raids on the flockEasyBrainteasersView →
- Timing the revolverEasyBrainteasersView →
- Two heads given an even countEasyProbabilityConditional Probability & ExpectationView →
- Two numbers in different groupsEasyProbabilityCombinatoricsView →
- When the colony outgrows its life supportEasyBrainteasersCalculusView →
- 1000 bottles, one poisonedMediumBrainteasersView →
- Balancing six- and eight-sided diceMediumExpected ValueBrainteasersView →
- Cash-and-carry arbitrageMediumFinance & DerivativesView →
- Correlation of overlapping sumsMediumRandom VariablesStatisticsView →
- Eight coins, one lightMediumCombinatoricsBrainteasersView →
- Expected flips for HHTMediumExpected ValueStochastic ProcessesView →
- Expected maximum of two diceMediumRandom VariablesExpected ValueView →
- Expected minimum of two diceMediumRandom VariablesExpected ValueView →
- Expected steps to first reach a levelMediumProbabilityStochastic ProcessesView →
- Fair value after an informed buyMediumConditional Probability & ExpectationMarket Making & Betting GamesView →
- First head on an even flipMediumProbabilityView →
- How many stack outputs?MediumProgramming & DSAView →
- Implied dividend yield from a forwardMediumFinance & DerivativesView →
- Limit of x^100 over e^xMediumCalculusView →
- Mean value theorem for x^2MediumCalculusView →
- Product of two uniforms above a halfMediumProbabilityRandom VariablesView →
- Put–call parity arbitrageMediumFinance & DerivativesView →
- Rolls to see both a 1 and a 2MediumExpected ValueView →
- Scaling vega across maturitiesMediumFinance & DerivativesView →
- Squares on a chessboard, tilted ones includedMediumCombinatoricsBrainteasersView →
- Sum of 10 with three diceMediumProbabilityCombinatoricsView →
- Sum versus twice the differenceMediumProbabilityRandom VariablesView →
- Three dots, exactly one shared edgeMediumProbabilityCombinatoricsView →
- Trace of A-transpose-AMediumLinear AlgebraView →
- Variance of the longer pieceMediumProbabilityRandom VariablesView →
- Waiting to see both facesMediumRandom VariablesStatisticsView →
- When a biased estimator winsMediumRandom VariablesStatisticsView →
- Where the slope is steepest downhillMediumCalculusView →
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