Previous-year questions organized for practice. Solutions prepared by Statstrive.
Question list
Question 1Macroeconomics / Solow Growth Model --- Steady StateEasyQuestion 2Macroeconomics / Golden Rule of SavingModerateQuestion 3Macroeconomics / Natural Rate of Unemployment (WS-PS)ModerateQuestion 4Macroeconomics / Open Economy Multiplier (Symmetric Two-Country)ModerateQuestion 5Macroeconomics / Two-country multiplier --- policy changeModerateQuestion 6Macroeconomics / Leontief Production --- Factor PricesHardQuestion 7Macroeconomics / Continuous-Time Euler / Keynes-Ramsey RuleModerateQuestion 8Macroeconomics / Permanent Income / Present Value of Alternating IncomeModerateQuestion 9Statistics / Logical/Arithmetic ConsistencyEasyQuestion 10Probability / Binomial Distribution --- Likelihood ComparisonModerateQuestion 11Econometrics / OLS --- Regression line passes through meansEasyQuestion 12Probability / Statistical IndependenceModerateQuestion 13Probability / Expected Value --- Sampling Without ReplacementModerateQuestion 14Econometrics / $R^2$ propertiesModerateQuestion 15Econometrics / Slope in Simple RegressionEasyQuestion 16Calculus / Monotonicity via First DerivativeEasyQuestion 17Sequences and Series / Telescoping SumEasyQuestion 18Optimization / Constrained Optimization on a Compact SetEasyQuestion 19Calculus / Definite Integral by PartsEasyQuestion 20Number Theory / Modular Arithmetic --- PowersModerateQuestion 21Functional Equations / Cauchy-type Multiplicative Functional EquationModerateQuestion 22Microeconomics / Third-Degree Price DiscriminationModerateQuestion 23Microeconomics / Horizontal Aggregation of DemandEasyQuestion 24Consumer Theory / Linear Utility / Corner Solutions with a Gift CardModerateQuestion 25Public Goods / Vertical Sum of Marginal BenefitsHardQuestion 26Consumer Theory / Lexicographic-on-Sum PreferencesHardQuestion 27Consumer Theory / Continuity of DemandHardQuestion 28Consumer Theory / Non-Convex Preferences --- Demand SetHardQuestion 29Consumer Theory / Quasi-linear UtilityModerateQuestion 30General Equilibrium / Identical Agents Exchange EconomyModerate
