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Goldman Sachs Interview Questions
Below are 55 quant interview questions of the kind asked at Goldman Sachs, spanning Brain Teasers, Probability, Stochastic Processes, Calculus & Linear Algebra, Algorithms & Numerical, Finance, Options & Greeks, Portfolio & Risk, Statistics. Each comes with a full worked solution — sign in to check your answers and track your progress.
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Trailing Zeros in 100!
Brain TeasersGoldman SachsJ.P. Morgan
Two Eggs, 100 Floors
Brain TeasersGoogleGoldman Sachs
Sum 1 to 100
Brain TeasersJane StreetGoldman Sachs
Last Digit of 2^100
Brain TeasersGoldman SachsMorgan Stanley
Burning Ropes — 45 Minutes
Brain TeasersGoldman SachsMorgan Stanley
Handshakes at a Party
Brain TeasersGoldman Sachs
Ants on a Triangle
Brain TeasersGoldman SachsOptiver
Three Switches
Brain TeasersGoldman SachsMorgan Stanley
Monty Hall
ProbabilityGoldman SachsMorgan Stanley
Birthday Problem
ProbabilityGoldman SachsCitadel
Bayes — Disease Test
ProbabilityGoldman SachsTwo Sigma
Two Children
ProbabilityGoldman SachsMorgan Stanley
Expectation of GBM
Stochastic ProcessesGoldman SachsMorgan Stanley
Variance of Brownian Motion
Stochastic ProcessesGoldman SachsMorgan Stanley
Covariance of Brownian Motion
Stochastic ProcessesGoldman SachsTwo Sigma
Quadratic Variation of BM
Stochastic ProcessesGoldman SachsTwo Sigma
Expected Running Max of BM
Stochastic ProcessesGoldman SachsDE Shaw
Definite Integral of x²
Calculus & Linear AlgebraGoldman Sachs
Limit of sin(x)/x
Calculus & Linear AlgebraGoldman SachsMorgan Stanley
Eigenvalues of a 2×2
Calculus & Linear AlgebraGoldman SachsCitadel
Gaussian Integral
Calculus & Linear AlgebraGoldman SachsTwo Sigma
Geometric Series
Calculus & Linear AlgebraGoldman Sachs
Limit of (1+1/n)^n
Calculus & Linear AlgebraGoldman SachsMorgan Stanley
Integral of x·e^(−x)
Calculus & Linear AlgebraGoldman SachsTwo Sigma
L'Hôpital — (eˣ−1)/x
Calculus & Linear AlgebraGoldman SachsMorgan Stanley
Derivative of ln(x)
Calculus & Linear AlgebraGoldman Sachs
Trace = Sum of Eigenvalues
Calculus & Linear AlgebraTwo SigmaGoldman Sachs
Integrate x·eˣ
Calculus & Linear AlgebraGoldman SachsMorgan Stanley
Monte Carlo — Estimate π
Algorithms & NumericalGoldman SachsTwo Sigma
Newton’s Method for √2
Algorithms & NumericalGoldman SachsJane Street
Put-Call Parity
FinanceGoldman SachsMorgan Stanley
Black-Scholes ATM Call
FinanceGoldman SachsMorgan Stanley
Risk-Neutral Probability
FinanceGoldman SachsJ.P. Morgan
Zero-Coupon Bond Price
FinanceGoldman SachsPIMCO
Futures Fair Value
FinanceGoldman SachsOptiver
Duration & Price Sensitivity
FinanceGoldman SachsJ.P. MorganPIMCO
Perpetuity Value
FinanceGoldman SachsJ.P. Morgan
Rule of 72
FinanceGoldman SachsMorgan Stanley
Gordon Growth Model
FinanceGoldman SachsMorgan Stanley
Coupon Equals Yield
FinanceGoldman SachsPIMCO
FX Forward by Interest Parity
FinanceGoldman SachsBarclays
Most Negative Put Delta
Options & GreeksGoldman SachsOptiver
Early Exercise of a Call
Options & GreeksGoldman SachsMorgan Stanley
Find the Put from Parity
Options & GreeksGoldman SachsMorgan Stanley
Sharpe Ratio
Portfolio & RiskGoldman SachsAQR Capital
Two-Asset Portfolio Volatility
Portfolio & RiskGoldman SachsAQR Capital
Value at Risk (Normal)
Portfolio & RiskGoldman SachsMorgan StanleyMillennium Management
VaR Time Scaling
Portfolio & RiskGoldman SachsMorgan Stanley
Portfolio Beta
Portfolio & RiskGoldman SachsAQR Capital
Variance of Uniform(0,1)
StatisticsGoldman SachsCitadel
Variance of a Sum
StatisticsGoldman SachsMorgan Stanley
Central Limit Theorem
StatisticsGoldman SachsMorgan Stanley
Covariance of a Linear Transform
StatisticsGoldman SachsAQR Capital
Range of Correlation
StatisticsGoldman SachsCitadel
Variance of a Scaled Variable
StatisticsGoldman Sachs
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