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Trader Questions

The question types quant trading interviews actually ask - probability, expected value, statistics, option theory, reasoning, and market arithmetic. Every question has one numerical answer, instant checking, a hint, and a full worked solution. Run a practice session or pick any question below.

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Practice sessions are exclusive to Deltashark Members. Free questions in the library below are open to try.

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480 questions · 20 free to try
Difficulty
Bridge in the DarkFree
Nine Balls, One ScaleFree
Ruin at a QuarterFree
Scaling the SharpeFree
The Best of Three DiceFree
The Blocking PatternFree
The Captain's CutFree
The Collapsing SumFree
The Dinner Party PuzzleFree
The Discovery LedgerFree
The Maker’s EdgeFree
The One-Step TreeFree
The Repeat ExamFree
The Straddle’s DeltaFree
The Transferred BallFree
The Two-Headed SuspectFree
The Vanished FundsFree
Three on a SemicircleFree
Undoing Twenty PercentFree
Zeros of a Hundred FactorialFree
A Call at ExpiryMembers
A Die, Then CoinsMembers
A Die’s SpreadMembers
A Five Before a SixMembers
A Hand Missing HeartsMembers
A Hand with No FacesMembers
A Hundred Fair FlipsMembers
A Hundred MachinesMembers
A Hundred over NineteenMembers
A Hundred Small BetsMembers
A King, Then a QueenMembers
A Line of HatsMembers
A Percent of a PercentMembers
A Pocket PairMembers
A Product of Thirty-SixMembers
A Product of TwelveMembers
A Put at ExpiryMembers
A Quarter of the BookMembers
A Quarter Off, a Quarter OnMembers
A Random Digit's MeanMembers
A Six Leads ThreeMembers
A Sum Divisible by ThreeMembers
A Third of a ThirdMembers
A Third, Three TimesMembers
A Triple in TenMembers
A Uniform, SquaredMembers
A Zero at Five PercentMembers
Above One and a HalfMembers
Ace on TopMembers
Add Ten to EverythingMembers
Adding ReciprocalsMembers
Adding with OverlapMembers
All But NineMembers
All EvenMembers
All the HandsMembers
All the RectanglesMembers
All the SquaresMembers
All the Subsets of SixMembers
All Three AgreeMembers
An Even Count of HeadsMembers
An Even ProductMembers
An Even Sum of ThreeMembers
An Instant PairMembers
An Odd Count of SixesMembers
An Odd ProductMembers
An Odd SumMembers
An Option on a DieMembers
Ants on a Metre StickMembers
Ants on a TriangleMembers
Arranging BANANAMembers
At Least One BoyMembers
At Least One SixMembers
Averaging InMembers
Averaging Nine SignalsMembers
Back to the StartMembers
Back-to-Back AcesMembers
Back-to-Back DoublesMembers
Backing Out the DayMembers
Balancing on TwentyMembers
Beating the Same DieMembers
Beta by HandMembers
Beyond the LineMembers
Bias and NoiseMembers
Big, Given EvenMembers
Blackjack off the TopMembers
Blended AwayMembers
Both Out RedMembers
Bought and Sold TwiceMembers
Boxcars at LastMembers
Building the Call by HandMembers
Chasing the SixMembers
Chebyshev’s GuaranteeMembers
Choosing Three of EightMembers
Collecting All SixMembers
Compounding at the LimitMembers
Copper and ZincMembers
Correlated by ConstructionMembers
Counting BreachesMembers
Counting the Head RunsMembers
Covariance RestoredMembers
Cutting the Gold BarMembers
Data for Half the ErrorMembers
Detrending by DifferencesMembers
Diagonals of a Fifteen-GonMembers
Diagonals of the DecagonMembers
Die Times CoinMembers
Discount on DiscountMembers
Distinct Faces in Ten RollsMembers
Divide by HalfMembers
Double Heads in FourMembers
Double Heads TogetherMembers
Double Sixes in a RowMembers
Double the SidesMembers
Doubling the RadiusMembers
Doublings to a BillionMembers
Down Twenty, Up How Much?Members
e to the 0.2Members
Eight Before SevenMembers
Eight Pieces, Three CutsMembers
Eleven CubedMembers
Eleven Terms, One MiddleMembers
Escaping with an EdgeMembers
Even ExchangeMembers
Every Other GaussMembers
Exactly One Head of FourMembers
Exactly One PairMembers
Expected Aces in FiveMembers
Expected Sixes in TwelveMembers
Fair Price of a RollMembers
False Alarms by DesignMembers
Fence-Post ArithmeticMembers
Fifteen Minutes at the Coffee BarMembers
Fifteen Terms DeepMembers
First Flipper WinsMembers
First Server to FailMembers
Five at a Round TableMembers
Five Heads of TenMembers
Five Heads StraightMembers
Five of a SuitMembers
Five Steps of TwoMembers
Five WideMembers
Flattening the BookMembers
Forty-Nine Fifty-OnesMembers
Forty-Three SquaredMembers
Four Above the NullMembers
Four Even NumbersMembers
Four Gallons ExactlyMembers
Four Hours Meets SixMembers
Four Planes of SpaceMembers
From Correlation to CovarianceMembers
From Fifty-One to a HundredMembers
From Variance to SigmaMembers
Gauss and the First HundredMembers
Given Five MissesMembers
Half of Two ThirdsMembers
Half Past ThreeMembers
Half the SetMembers
Hands Meeting All DayMembers
Hands with All the AcesMembers
Handshakes at DinnerMembers
Head on the ThirdMembers
Heads Minus TailsMembers
Heads Points a FingerMembers
Heads, Then TailsMembers
Hedging with FuturesMembers
How Far After FourMembers
How Far from ZeroMembers
How Far to Break EvenMembers
How Much ExplainedMembers
How Two EndsMembers
In at 80, Out at 92Members
Independent BooksMembers
Inside One SigmaMembers
Inside the OctagonMembers
Integers in the BandMembers
Kelly at the Coin FlipMembers
Kelly with a Thin EdgeMembers
Left Out of the BagMembers
Logging a MillionMembers
Lucky SevenMembers
Majority of ThreeMembers
Making Up the AverageMembers
Mean of the First TenMembers
Means Add UpMembers
Meeting in the MiddleMembers
Meeting MultiplesMembers
Metres a SecondMembers
Mixing to SixtyMembers
Nine Divides the LadderMembers
Nobody Gets Their HatMembers
Numbering the PagesMembers
Odd Heads OutMembers
One Ace EachMembers
One Big SalaryMembers
One Card DownMembers
One Draw from the UrnMembers
One Free Re-RollMembers
One Hundred, Minus Ninety-NineMembers
One in a ThousandMembers
One More Than EverythingMembers
One Percent a DayMembers
One Red, One BlackMembers
One Round DecidesMembers
One Six of ThreeMembers
One Step or TwoMembers
Paid by the WiggleMembers
Parity CheckMembers
Parity, with InterestMembers
Passing Second PlaceMembers
Paying for TimeMembers
Peak to TroughMembers
Perfectly AlternatingMembers
Picked Off, SometimesMembers
Plain Old InterestMembers
Poisson’s SignatureMembers
Predicting at TwelveMembers
Pseudo-CountsMembers
Reading the QuoteMembers
Reading Vol off the StraddleMembers
Rebasing to a HundredMembers
Records in Ten DrawsMembers
Relative SpreadMembers
Rolling an EightMembers
Rolling DoublesMembers
Roots in ProductMembers
Rounds of Odd One OutMembers
Ruin at the CasinoMembers
Same Colour off the TopMembers
Seconds in a DayMembers
Seven and ThreeMembers
Seven or ElevenMembers
Seven to the Seventh, Last DigitMembers
Seven, Given DifferentMembers
Seventeen NineteensMembers
Shrinking Three of ThreeMembers
Simple Against CompoundMembers
Six FactorialMembers
Six Rolls, No SixMembers
Sixteen AgainMembers
Sixteen GlovesMembers
Sixty Heads or MoreMembers
Size of the PositionMembers
Sizing the HedgeMembers
Slicing the PancakeMembers
Socks in the DarkMembers
Spin or Don’tMembers
Squares to TenMembers
Stacking NinesMembers
Strictly Higher SecondMembers
Suits in a HandMembers
Sum and DifferenceMembers
Switch or StayMembers
Ten DoublingsMembers
Ten Rolls for a SixMembers
Ten to FlipMembers
Ten to OneMembers
Ten with Three DiceMembers
The 95 LineMembers
The 99 LineMembers
The Alternating HalfMembers
The Average Speed TrapMembers
The Banana CaravanMembers
The Bat and the BallMembers
The Benchmark ThreeMembers
The Breakeven Win RateMembers
The Broken StickMembers
The Bull SpreadMembers
The Burned CardMembers
The Butterfly’s PeakMembers
The Calendar CubesMembers
The Call Buyer’s BarMembers
The Capped Doubling GameMembers
The Census Taker's AgesMembers
The Chevalier’s WagerMembers
The Circle of a HundredMembers
The Clock at Quarter PastMembers
The Correlation, BackwardsMembers
The Cost of ImpatienceMembers
The Covered CallMembers
The Cycle of SevensMembers
The Daily VaR LineMembers
The Desk Call RuleMembers
The Desk Straddle RuleMembers
The Digit Sum of 2^12Members
The Divisors of 360Members
The Double RootMembers
The Egg DropMembers
The Even MedianMembers
The Even-Odds RoomMembers
The ExcessMembers
The Expected GapMembers
The Fair Fight's LengthMembers
The Fairest CoinMembers
The First Ace's SeatMembers
The First BellMembers
The First Die, Given TenMembers
The First Five CubesMembers
The First Forty OddsMembers
The First of the EightMembers
The First Spade's SeatMembers
The Fitted SlopeMembers
The Flipped NumberMembers
The Four Aces TogetherMembers
The Frobenius BoxMembers
The Frog in the WellMembers
The Greatest Common MeasureMembers
The Half-Life of MemoryMembers
The Hidden CoreMembers
The Hundred LockersMembers
The Implied MoveMembers
The Independent Second ChildMembers
The Infinite HalfMembers
The Inflated VarianceMembers
The Inner CircleMembers
The Insured BookMembers
The Island of Blue EyesMembers
The Knockout CountMembers
The Larger DieMembers
The Larger of Two UniformsMembers
The Largest of ThreeMembers
The Last Boarding PassMembers
The Leaky CisternMembers
The Level BetMembers
The Likeliest CountMembers
The Likelihood PeakMembers
The Lily PondMembers
The Loaded SixMembers
The Log of One HalfMembers
The Long DiagonalMembers
The Margin Call LineMembers
The Matching DecksMembers
The Max Is FourMembers
The Median WaitMembers
The Merchant's Four StonesMembers
The Middle of Three UniformsMembers
The Middle PrintMembers
The Midpoint PriceMembers
The Miss RateMembers
The Missing LegMembers
The Missing ScoreMembers
The Mutilated ChessboardMembers
The n Minus OneMembers
The Named CardMembers
The New EntrantMembers
The Ninetieth PercentileMembers
The Noise BandMembers
The Normal's CentreMembers
The Odd One OutMembers
The One-Step PutMembers
The Overpriced TicketMembers
The Patient UrnMembers
The Poisoned CaskMembers
The Pollster's Three PointsMembers
The Proportion's ErrorMembers
The Put’s CeilingMembers
The Put’s ShadowMembers
The Quiet CoinMembers
The Rare BugMembers
The Ratio ItselfMembers
The Replicated SpreadMembers
The Restless FlyMembers
The Right TailMembers
The Risk-Neutral CoinMembers
The Root of 0.9Members
The Root of FiftyMembers
The Rope Around the EarthMembers
The Round RobinMembers
The Rule of 114Members
The Rule of Seventy-TwoMembers
The Second BallMembers
The Second Rope's EndMembers
The Series of ThirdsMembers
The Seventeen CamelsMembers
The Sharpe of ItMembers
The Short SideMembers
The Simple BetMembers
The Sixty-Forty BlendMembers
The Sixty-Forty SpreadMembers
The Slope of the HedgeMembers
The Slower StreamMembers
The Small GridMembers
The Smaller DieMembers
The Smaller of Two UniformsMembers
The Spread of a Pair of DiceMembers
The Spread of Ten DiceMembers
The Square in the CircleMembers
The Squared RollMembers
The Stacked DiceMembers
The Standard ErrorMembers
The Sum to Two HundredMembers
The Sure-Thing CallMembers
The Ten-Minute BusMembers
The Ten-Way SplitMembers
The Third AngleMembers
The Third Card Is a HeartMembers
The Thirty-Seven Percent RuleMembers
The Three-to-Five SplitMembers
The Two-Hour ChaseMembers
The Two-Sided TailMembers
The Two-Three Game's LengthMembers
The Unit PriceMembers
The Upper BoundMembers
The Upper BreakevenMembers
The Wait for HHTMembers
The Weighted CourseMembers
The Width of ConfidenceMembers
The Wobble of ZeroMembers
The Yield You BoughtMembers
The Zero-Strike CallMembers
The Zeros of Twenty-FiveMembers
Thirty Ticks of JoyMembers
Three Clear BirthdaysMembers
Three Dice, One NumberMembers
Three Different FacesMembers
Three Fives, CompoundedMembers
Three Half-LivesMembers
Three Hats, None HomeMembers
Three Heads of SixMembers
Three Heads to StopMembers
Three Painters, One WallMembers
Three Perfect SixesMembers
Three Reds RunningMembers
Three Switches, One VisitMembers
Three Wrong LabelsMembers
Three Years, CompoundedMembers
Three-Sigma DaysMembers
Three, Then What?Members
Through the MeansMembers
Told It's BigMembers
Trains Toward Each OtherMembers
Triple the DataMembers
Triple the PositionMembers
Tripled SidesMembers
Twelve and a Half PercentMembers
Twelve Balls, One ScaleMembers
Twelve Basis PointsMembers
Twenty Fair Flips, How Much SpreadMembers
Twenty Tries at Thirty PercentMembers
Twenty-Eight DaysMembers
Twenty-Five HorsesMembers
Twenty-Seven BallsMembers
Twice the FunMembers
Two Above the MeanMembers
Two ArrivalsMembers
Two Decks, Same TopMembers
Two Desks, One BirthdayMembers
Two Dice Against OneMembers
Two Different FacesMembers
Two Free Re-RollsMembers
Two Heads of ThreeMembers
Two of a SuitMembers
Two Painted FacesMembers
Two Pairs in the DarkMembers
Two Pieces of EvidenceMembers
Two Reds off the TopMembers
Two Ropes, No RulerMembers
Two Sigma UpMembers
Two Steps of DecayMembers
Two Tails to StopMembers
Two to the Ten, Mod SevenMembers
Two to the TwentyMembers
Two Up or Three DownMembers
Two Years to 121Members
Two-All After FourMembers
Under the DiagonalMembers
Uniform UncertaintyMembers
Up Half, Down HalfMembers
Up Two Games to OneMembers
Variance of a ConstantMembers
Waiting for a RedMembers
Waiting for Double HeadsMembers
Waiting for the First HeadMembers
Walking the GridMembers
What It Is Worth Right NowMembers
What the Hedge LeavesMembers
When the Hands MeetMembers
Which Machine Broke It?Members
Which TailMembers
Within and BetweenMembers
Wolf, Goat, CabbageMembers