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, 36 of them free to practise right now. 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 numbers in different groupsEasyProbabilityCombinatoricsView →
- When the colony outgrows its life supportEasyBrainteasersCalculusView →
- 1000 bottles, one poisonedMediumBrainteasersView →
- Balancing six- and eight-sided diceMediumExpected ValueBrainteasersView →
- Expected flips for HHTMediumExpected ValueStochastic ProcessesView →
- Expected maximum of two diceMediumRandom VariablesExpected ValueView →
- First head on an even flipMediumProbabilityView →
- Product of two uniforms above a halfMediumProbabilityRandom VariablesView →
- Sum versus twice the differenceMediumProbabilityRandom VariablesView →
- Three dots on a squareMediumProbabilityCombinatoricsView →
- Variance of the longer pieceMediumProbabilityRandom VariablesView →
- Waiting to see both facesMediumRandom VariablesStatisticsView →
- Two heads given an even countEasyProbabilityConditional Probability & Expectation Premium
- Cash-and-carry arbitrageMediumFinance & Derivatives Premium
- Correlation of overlapping sumsMediumRandom VariablesStatistics Premium
- Eight coins, one lightMediumCombinatoricsBrainteasers Premium
- Expected minimum of two diceMediumRandom VariablesExpected Value Premium
- Expected steps to first reach a levelMediumProbabilityStochastic Processes Premium
- Fair value after an informed buyMediumConditional Probability & ExpectationMarket Making & Betting Games Premium
- How many stack outputs?MediumProgramming & DSA Premium
- Implied dividend yield from a forwardMediumFinance & Derivatives Premium
- Limit of x^100 over e^xMediumCalculus Premium
- Mean value theorem for x^2MediumCalculus Premium
- Put–call parity arbitrageMediumFinance & Derivatives Premium
- Rolls to see both a 1 and a 2MediumExpected Value Premium
- Scaling vega across maturitiesMediumFinance & Derivatives Premium
- Squares on a chessboardMediumCombinatoricsBrainteasers Premium
- Sum of 10 with three diceMediumProbabilityCombinatorics Premium
- Trace of A-transpose-AMediumLinear Algebra Premium
- When a biased estimator winsMediumRandom VariablesStatistics Premium
- Where the slope is steepest downhillMediumCalculus Premium
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