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Top 50 mathematical reasoning Interview Questions

The most frequently asked mathematical reasoning questions across all roles and companies, ranked by real interview frequency. Updated daily.

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Statistics & ProbabilityStart here. 49 questions · ~584 min
Optimal Die-Roll StrategyHard
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Use backward induction to find the optimal stopping thresholds and expected payout when rolling a die up to three times.

Decision Makingprobabilitymathematical reasoningJane StreetRRipple
Prove Mean as CentroidHard
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Prove that the arithmetic mean uniquely minimizes total squared Euclidean distance and therefore serves as the centroid under squared-error loss.

proofstatistics fundamentalsmathematical reasoningMicrosoft
Card Color Given Other CardsHard
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Derive the probability that the next card matches a specified color or suit after five known cards have been removed.

probabilitymathematical reasoningConditional ProbabilityJane Street
Dice and Rubik’s Cube BrainteaserHard
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Explain a classic dice probability problem and derive the number of reachable Rubik's cube configurations.

probabilitymathematical reasoningpattern recognitionJane Street
Simple Dice ProbabilityMedium
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Apply sample-space counting, independence, complements, and conditional probability to solve basic fair-dice questions.

Distributionsprobabilitymathematical reasoningJane Street
Coin Game Maximum TurnsHard
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Use a stopping-time argument to determine the maximum duration of a coin race requiring four heads or four tails.

sequencesprobabilitymathematical reasoningJane Street
EV in a GameMedium
Recently asked

Explain how you framed, calculated, and validated an expected value problem arising in a game.

probabilitymathematical reasoningExpected ValueJane Street
RPS Variant Optimal StrategyHard
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Use minimax reasoning to find the optimal mixed strategy and expected payoff when the opponent cannot play rock.

probabilitymathematical reasoningExpected ValueJane Street
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