Numerical Reasoning Tests Interview Questions for Quant Researchers
The same round is marked differently depending on the seat you are interviewing for. This is the numerical reasoning tests set as it applies to quant researchers.
132 questions, 99 of them free to practise right now. The split is 52 easy, 66 medium, 14 hard. The topics that come up most are probability (59), expected value (30), brainteasers (29), combinatorics (22).
- A die with one face decrementedEasyProbabilityConditional Probability & ExpectationView →
- A guest list with a feudEasyCombinatoricsView →
- A limit that hides a difference of logsEasyCalculusView →
- A mile with no windEasyBrainteasersView →
- A root of a product plus oneEasyBrainteasersView →
- A sum of four before a sum of twoEasyProbabilityView →
- A sum of three cubesEasyBrainteasersView →
- An alternating sum of squaresEasyBrainteasersView →
- An infinite nested radicalEasyBrainteasersView →
- At least one blue and one greenEasyProbabilityCombinatoricsView →
- Beating a product of uniformsEasyProbabilityRandom VariablesView →
- Clock angle at 3:15EasyBrainteasersView →
- Coin rolling around a coinEasyBrainteasersView →
- Correlation from a summed varianceEasyRandom VariablesStatisticsView →
- Crossing the origin twiceEasyStochastic ProcessesView →
- Dots on distinct edgesEasyProbabilityCombinatoricsView →
- Expected distance of a dart from centerEasyProbabilityRandom VariablesView →
- Expected flips after a losing startEasyProbabilityExpected ValueView →
- Expected flips for three headsEasyProbabilityExpected ValueView →
- Expected flips for two heads in a rowEasyProbabilityExpected ValueView →
- Four dice summing to twentyEasyProbabilityCombinatoricsView →
- Keep it or draw againEasyProbabilityExpected ValueView →
- Keep the d8 or gamble on the d12?EasyProbabilityExpected ValueView →
- Lapping on the trackEasyBrainteasersView →
- Lattice paths through a checkpointEasyCombinatoricsView →
- Matching locks to keysEasyBrainteasersView →
- Normalizing a tilted densityEasyRandom VariablesCalculusView →
- One blue die matches the redEasyProbabilityView →
- Origin between two pointsEasyProbabilityView →
- Paid the last roll before you stopEasyProbabilityExpected ValueView →
- Reflipping for valueEasyProbabilityExpected ValueView →
- Ripple on a pondEasyCalculusView →
- Rolling a die to size the next dieEasyConditional Probability & ExpectationExpected ValueView →
- Rolling until you match the first rollEasyProbabilityExpected ValueView →
- Rolls until an even sumEasyProbabilityExpected ValueView →
- Same side four timesEasyProbabilityView →
- Shrinking the standard errorEasyStatisticsView →
- Tangent-minus-sine third-order limitEasyCalculusView →
- The higher die shows a fourEasyProbabilityView →
- The weight of the fishEasyBrainteasersView →
- Three primes in six rollsEasyProbabilityView →
- Timing the revolverEasyBrainteasersView →
- Top three dice summing to eighteenEasyProbabilityCombinatoricsView →
- Two mismatched diceEasyProbabilityView →
- Unchanged after ten swingsEasyProbabilityBrainteasersView →
- Variance of an asymmetric random walkEasyRandom VariablesStochastic ProcessesView →
- Ways to reach deuceEasyProbabilityCombinatoricsView →
- When the clock hands next meetEasyBrainteasersView →
- Where the maximum landsEasyRandom VariablesStatisticsView →
- Whether either bus comes soonEasyProbabilityRandom VariablesView →
- Which side holds the heavy weightEasyProbabilityCombinatoricsView →
- Winning by a growing marginEasyProbabilityBrainteasersView →
- A ladder slipping in oilMediumCalculusView →
- A large power, modular orderMediumProgramming & DSAView →
- Balancing six- and eight-sided diceMediumExpected ValueBrainteasersView →
- Cash out or bustMediumProbabilityExpected ValueView →
- Cats and dogs on the streetMediumBrainteasersView →
- Chords that don't crossMediumProbabilityCombinatoricsView →
- Cutting a cube into 27MediumBrainteasersView →
- Dice payoff via WaldMediumExpected ValueStochastic ProcessesView →
- Digits multiplying to half the numberMediumBrainteasersView →
- Distributing candies with a capMediumCombinatoricsView →
- Eight dice summing to twelveMediumProbabilityCombinatoricsView →
- Emptying the cherry bowlMediumProbabilityCombinatoricsView →
- Expected flips for HTMediumExpected ValueStochastic ProcessesView →
- Expected maximum of two diceMediumRandom VariablesExpected ValueView →
- Expected median of three diceMediumProbabilityExpected ValueView →
- Expected value of the highest cardMediumProbabilityExpected ValueView →
- First consecutive repeatMediumProbabilityExpected ValueView →
- First head on an even flipMediumProbabilityView →
- First head strictly soonerMediumProbabilityRandom VariablesView →
- Monotone paths across a gridMediumCombinatoricsView →
- One card each in casino warMediumProbabilityCombinatoricsView →
- One extra roll for more primesMediumProbabilityView →
- Rate of a growing shadowMediumCalculusView →
- Red faces on a diced cubeMediumCombinatoricsExpected ValueView →
- Rolling a 5-sided die to reach fiveMediumProbabilityExpected ValueView →
- Rolling until two rolls differ by twoMediumProbabilityExpected ValueView →
- Sharpe ratio in a marble gameMediumExpected ValueStatisticsView →
- The largest unmakeable totalMediumCombinatoricsBrainteasersView →
- The third shiny pennyMediumProbabilityCombinatoricsView →
- Three dots on a squareMediumProbabilityCombinatoricsView →
- Three rolls, keep the lastMediumExpected ValueView →
- Two ropes, 45 minutesMediumBrainteasersView →
- Variance of a coin-gated payoffMediumRandom VariablesStatisticsView →
- A coin thick enough to land on its sideHardProbabilityBrainteasersView →
- A flea's shortest escape across a boxHardBrainteasersCalculusView →
- A small sub-triangleHardProbabilityRandom VariablesView →
- A triangle of consecutive integersHardBrainteasersView →
- Cats and miceHardBrainteasersView →
- Expected chord intersectionsHardProbabilityCombinatoricsView →
- Expected local maxima in a shuffleHardProbabilityExpected ValueView →
- Measuring two pintsHardBrainteasersView →
- Rolling until two rolls are closeHardProbabilityExpected ValueView →
- Shortest of three piecesHardProbabilityRandom VariablesView →
- Six pieces, none past a halfHardProbabilityRandom VariablesView →
- The reroll advantage in a die duelHardProbabilityMarket Making & Betting GamesView →
- Weighings for the odd beanHardBrainteasersView →
- Will the three-legged table stand?HardProbabilityView →
- A CLT tail probabilityMediumStatistics Premium
- A convexity gap by JensenMediumRandom VariablesExpected Value Premium
- A cube root by tangent lineMediumCalculus Premium
- An integral by symmetryMediumCalculus Premium
- Backing out a margin-free probabilityMediumMarket Making & Betting Games Premium
- Balloon related ratesMediumCalculus Premium
- Buyer count in a thinned arrival streamMediumProbabilityStochastic Processes Premium
- Cash-and-carry arbitrageMediumFinance & Derivatives Premium
- Cash-and-carry arbitrage profitMediumFinance & Derivatives Premium
- Correlation of overlapping sumsMediumRandom VariablesStatistics Premium
- Distinct birthdays representedMediumProbabilityExpected Value Premium
- Distinct faces in five rollsMediumCombinatoricsExpected Value Premium
- Empty boxesMediumExpected Value Premium
- Expected exponential of Brownian motionMediumStochastic Processes Premium
- Expected maximum of three diceMediumRandom VariablesExpected Value Premium
- HT before HH in coin flipsMediumProbabilityStochastic Processes Premium
- How many stack outputs?MediumProgramming & DSA Premium
- Implicit differentiation on a circleMediumCalculus Premium
- Largest pen against a riverMediumCalculus Premium
- Limit of x ln x as x to 0+MediumCalculus Premium
- MLE at a boundaryMediumStatisticsCalculus Premium
- Neither die exceeds fourMediumProbabilityRandom Variables Premium
- Pair at a round tableMediumCombinatorics Premium
- Poisson thinning: exactly two large ordersMediumRandom Variables Premium
- Rare-event Poisson approximationMediumProbabilityRandom Variables Premium
- Right angles in 12 hoursMediumBrainteasers Premium
- Sum of 10 with three diceMediumProbabilityCombinatorics Premium
- The gold chainMediumBrainteasers Premium
- Two trains and a flyMediumBrainteasers Premium
- Two uniforms summing past 1.5MediumProbabilityCalculus Premium
- Variance of an aggregate Poisson totalMediumRandom VariablesStochastic Processes Premium
- Volatility smile meaningMediumStatisticsFinance & Derivatives Premium
- Which desk books the larger dayMediumRandom VariablesStatistics Premium
Widen the search
This set is a slice of two larger ones. If it is too narrow, start here instead:
Practise these free
Create a free account to check your answers, track what you have solved, and run the timed simulators. Premium unlocks a full worked solution for every question.