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Quantitative Trader Interview Questions
Practice 9403 coding, system design and machine learning questions from 546 companies, sorted by role, topic and interview round. Every question has step-by-step hints, a code runner that supports 8 languages and an AI mentor; members also get the full solution walkthrough.
- 9403
- Questions
- 546
- Companies
- 11
- Topics
- 8
- Languages
Showing 1–30 of 33 results
- DRWEasyQuantitative TraderAnalyze distribution of a 3-dice product
This question tests the ability to analyze the probability distribution of the product of three independent discrete random variables and apply these statistical properties to practical risk management.
Statistics & MathOnline AssessmentProbabilityExpectationStatistics - DRWEasyQuantitative TraderCompute expected arc length on a circle
This question evaluates understanding of geometric probability, order statistics on a circle, and expectation computation for continuous random variables.
Statistics & MathOnline Assessment - ImcHardQuantitative TraderAnalyze Optimal Funding Allocations Across Election Districts
Analyze election-district funding games with weak-composition counting, favorable alignments, explicit allocations, and lower-bound proofs for possible and impossible wins under fixed budgets.
Statistics & MathTechnical Screen - ImcHardQuantitative TraderCompute the Probability for Two Uniform Variables
This question evaluates understanding of continuous probability, joint distributions, and order statistics for independent uniform variables, focusing on comparing transformations of random variables.
Software Engineering FundamentalsTechnical Screen - Jane StreetHardQuantitative TraderAlternating Die-Roll Game: Optimal Accept/Reject Strategy
This question evaluates probabilistic reasoning, dynamic decision-making and zero-sum game analysis, testing competency in expected-value calculations, optimal stopping and symmetric strategic reasoning.
Software Engineering FundamentalsTechnical Screen - Jane StreetMediumQuantitative TraderAnalyze trading RFQ competitiveness data
This question tests your ability to model order flow competitiveness by deriving features from trade logs and assessing the relationship between pricing aggressiveness and win probability.
Machine LearningOnline AssessmentLogistic RegressionFeature EngineeringMarket Microstructure - Jane StreetEasyQuantitative TraderBounds on the Probability of Rain on at Least One Weekend Day
This question evaluates understanding of probability theory and dependence between events, specifically the ability to reason about bounds on the probability of a union given fixed marginals, which is a core competency for probabilistic modeling in Machine Learning and Data Scientist roles.
Machine LearningTechnical Screen - Jane StreetMediumQuantitative TraderDice Duel: 30-Sided Die vs. 20-Sided Die with One Blind Reroll
This question evaluates probabilistic reasoning, expected-value comparison, and decision-making under uncertainty in discrete random processes. It is commonly asked to test a candidate's ability to reason about optimal stochastic decisions and trade-offs in blind reroll scenarios, classified under probability and decision theory within the Machine Learning domain and assessing conceptual understanding rather than practical implementation.
Machine LearningOnsite - Jane StreetMediumQuantitative TraderEstimate the Number of Florists in Sydney and Make a Market
Tests Fermi estimation, sanity checking via dual perspectives (demand vs. supply/geographic), quoting a two-sided market under uncertainty, and updating beliefs given market flow or new information.
Statistics & MathTechnical ScreenFermi EstimationMarket MakingProbability - Jane StreetEasyQuantitative TraderFour Fair Coins: Expected Payoff and Pricing Two Magic Wands
The question evaluates probabilistic reasoning, expected-value computation, and invariant-based state-space analysis as applied to adaptive operations on random variables and pricing contingent instruments.
Machine LearningTechnical Screen - Jane StreetMediumQuantitative TraderOptimal Stopping for Die Rolls That Bust on Perfect Squares
This question evaluates probabilistic reasoning and optimal stopping competency, testing understanding of Markov decision processes, expected-value calculations, and risk trade-offs in stochastic processes.
Coding & AlgorithmsOnsite - Jane StreetMediumQuantitative TraderPricing a Mystery Money Box: Expected Value, Adverse Selection, and Competition
This question evaluates probabilistic reasoning and economic-incentives competencies, including expected-value calculation, risk-neutral decision-making, adverse selection, and surplus division in bargaining contexts.
Machine LearningTechnical Screen - Jane StreetMediumQuantitative TraderSealed-Bid Auction for a Box of 200 Coin Flips (and an Informed Opponent)
This question evaluates understanding of probability and expected-value reasoning, auction and game-theoretic strategic thinking, Bayesian inference under asymmetric information, and quantitative decision-making relevant to a Machine Learning-focused data scientist role.
Machine LearningTechnical Screen - Jane StreetEasyQuantitative TraderSolve probability and game-theory puzzles
This set of puzzles evaluates probabilistic reasoning, Bayesian inference, expected-value optimization, optimal stopping, and strategic game-theoretic reasoning under uncertainty and asymmetric information, situated in the Statistics & Math domain.
Statistics & MathTechnical Screen - Jane StreetMediumQuantitative TraderSolve queue switch and coin change puzzles
This two-part question evaluates probabilistic reasoning about expected waiting times with random queue switching and combinatorial/algorithmic counting for coin-change combinations, testing skills in probability, expectation and order statistics as well as combinatorics and dynamic programming within the Coding & Algorithms domain.
Coding & AlgorithmsOnline Assessment - Jane StreetMediumQuantitative TraderTwo Opaque Boxes: Place or Take for Maximum Expected Payoff
This question evaluates probabilistic reasoning, expected-value analysis, and sequential decision-making under uncertainty, testing competency in stochastic modeling, combinatorics, and optimization.
Coding & AlgorithmsOnsite - Maven SecuritiesHardQuantitative TraderSolve Graduate Trader Probability Questions
This set evaluates quantitative reasoning and probabilistic thinking, testing competencies in combinatorics, probability, expectation, conditional probability, enumeration, and logical deduction.
Software Engineering FundamentalsOnline Assessment - OptiverMediumQuantitative TraderCompare two programs for equivalence
This question evaluates program-equivalence reasoning skills, including understanding of language semantics (mutation, ordering stability, integer overflow/underflow, integer-division behavior), competency in comparing time and space complexity, and the ability to design property-based tests and edge cases.
Coding & AlgorithmsOnline Assessment - OptiverMediumQuantitative TraderCompute odds under time pressure
This question evaluates probabilistic reasoning and combinatorial calculation skills, including conditional probability, distributional thinking and the ability to convert probabilities into odds.
Statistics & MathOnline Assessment - OptiverMediumQuantitative TraderDevise sequence-rule detection strategy
This question evaluates pattern-recognition, algorithm design, statistical reasoning, and model-selection skills required for sequence inference and candidate-term prediction in the Coding & Algorithms / Data Science domain.
Coding & AlgorithmsOnline Assessment - OptiverHardQuantitative TraderOptimize interval-scoring strategy
This interview question evaluates statistical assumptions, formulas, estimation strategy, uncertainty, edge cases, and interpretation in a realistic interview setting. A strong answer for Optimize interval-scoring strategy states assumptions, handles edge cases, explains trade-offs, and shows how to validate the result clearly.
Statistics & MathTechnical Screen - OptiverMediumQuantitative TraderOptimize switching puzzle solution
This question evaluates the ability to model a Lights Out-style grid puzzle as a linear system over GF(2), linear algebra skills (Gaussian elimination and null-space reasoning), and combinatorial optimization for minimizing toggle moves.
Coding & AlgorithmsOnline Assessment - OptiverMediumQuantitative TraderQuant Trading Game: Expected-Value Betting and Market Making on Coins, Dice, and Cards
This question evaluates probabilistic reasoning, expected-value calculation, risk management, and market-making intuition under time pressure within a simulated trading game.
Machine LearningTechnical Screen - OptiverMediumQuantitative TraderSolve a Skyscraper puzzle efficiently
This question evaluates understanding of constraint satisfaction and combinatorial search, testing competency in modeling Latin-square domains with visibility constraints, pruning and uniqueness verification, and algorithmic complexity analysis.
Coding & AlgorithmsOnline Assessment - SIG (Susquehanna)MediumQuantitative TraderBayesian Posterior That k Red Parts Came From Factory A
A probability question on Bayesian updating: one of two factories with different red-part rates is chosen at random, and k parts drawn from it are all red. It asks for the conditional probability that the parts came from the first factory, testing likelihoods, priors and careful evaluation of powers.
Statistics & MathOnline Assessment - SIG (Susquehanna)MediumQuantitative TraderExpected Number of Same-Rank Pairs in a Hand Dealt Without Replacement
An expectation question about dealing K cards without replacement from a deck of M ranks with N cards each, then counting the same-rank pairs in the hand. It tests linearity of expectation, probabilities when drawing without replacement, and how the definition of a pair changes the answer.
Statistics & MathOnline Assessment - SIG (Susquehanna)MediumQuantitative TraderExpected Payoff of a Three N-Sided Dice Matching Game
An expected value question about rolling three fair N-sided dice, with different payoffs when all three match, exactly two match, or all differ. It tests counting the outcome classes correctly for a general number of faces and combining them into one expected payoff, including a variant where the all-different outcome costs money.
Statistics & MathOnline Assessment - SIG (Susquehanna)MediumQuantitative TraderProbability Limited Stock Covers Every Customer in a Queue
A binomial probability question about a queue of N customers who each choose one of two products, with only M units of one product left in stock. It asks for the probability that the stock is enough, or exactly enough, for every customer who wants it, testing distribution modeling and the efficient evaluation of tail sums.
Statistics & MathOnline Assessment - SIG (Susquehanna)MediumQuantitative TraderProbability Two Randomly Started Flower Bloom Periods Overlap
A probability question about two flowers that start blooming on random days within a D-day window and stay in bloom for different lengths of time. It asks for the probability that both are in bloom together at some point, testing interval-overlap reasoning, exact counting, and discrete versus continuous modeling.
Statistics & MathOnline Assessment - SIG (Susquehanna)MediumQuantitative TraderProbability You Picked the Strongest Cat Given Your Cat Lost the Race
A conditional probability puzzle about three cats in a race with known winning probabilities. You cheer for a randomly chosen cat, learn whether it won or lost, and must find the probability that you picked the strongest or the weakest cat, testing Bayes' rule and the choice of conditioning event.
Statistics & MathOnline Assessment
DRW
Imc
Jane Street
Optiver
SIG (Susquehanna)