Top 30
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Updated weekly · Last refresh Oct 11

Top 30 Brainteaser and Mental Math Interview Questions

The most frequently asked questions on this topic across all roles and companies, ranked by real interview frequency. Updated daily.

30questions
~6htotal time
77companies covered
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1
DistributionsStart here. 7 questions · ~84 min
Two Dice Sum Above EightEasy
Recently asked

Compute the probability that the sum of two fair dice is greater than 8 by counting favorable outcomes.

DistributionsExpected ValueConditional ProbabilityBloombergSSigSmartestenergy
Probability of HeadsEasy
Recently asked

Calculate the probability of observing at least two heads in three independent fair-coin tosses using the binomial distribution.

Distributionsstatistics fundamentalsprobabilityDDZ BANKEEnelING
Expected Value Pricing for Biased CoinEasy

Use expected value and variance to price a 100-flip biased-coin game and determine the fair entry fee for a risk-neutral player.

DistributionsExpected ValueConditional ProbabilityAqrCitigroupAABN AMRO
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2
Decision Making3 questions · ~36 min
Expected Value of a GameMedium

Calculate the expected value of a die game and decide whether a risk-neutral player should accept it.

Decision MakingprobabilityarithmeticGICKKeyrockPrudential Ins Co Of America In
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3
statistics fundamentals3 questions · ~36 min
Conditional Coin ProbabilityEasy

Use conditional probability and independence to determine the chance of a second head after observing a first head.

statistics fundamentalsprobabilityConditional ProbabilityThe AmeripriseDDimensional Fund AdvisorsRRich Robust
Biased Coin HH ProbabilityEasy

Compute the probability of HH from a biased coin using conditional probability.

statistics fundamentalsprobabilityConditional ProbabilityOOrigin EnergyiiA Groupe financierCitadel
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4
probability6 questions · ~72 min
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5
More topics11 questions · ~132 min
Conditional Probability With Coin BiasHard
Recently asked

Use independence and Bayesian updating to determine the next-flip probability after ten observed heads.

Bayesian ReasoningBiasprobabilityNatWestAAlphaGrep SecuritiesBarclays
Biased Coin IdentificationHard

Determine how many consecutive heads are needed to reach 99% posterior confidence that a selected coin has two heads.

Bayesian ReasoningBiasprobabilityTrexquant InvestmentProsper MarketplaceGG-20 Group
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