Previous-year questions organized for practice. Solutions prepared by Statstrive.
Question list
Question 1Sequences and Series / partial fractionsEasyQuestion 2Algebra / Symmetric expressions in $x$ and $1/x$EasyQuestion 3Calculus / substitutionEasyQuestion 4Calculus / Integral of an absolute valueEasyQuestion 5Real Analysis / Rolle's theorem applied to an antiderivativeModerateQuestion 6Real Analysis / Cauchy mean value theoremModerateQuestion 7Real Analysis / FTC applied to an identityEasyQuestion 8Calculus / symmetry of odd functionsHardQuestion 9Statistics / Interpretation of zero correlationEasyQuestion 10Regression / OLS passes through the mean pointEasyQuestion 11Hypothesis Testing / Trade-off between $\alpha$ and powerEasyQuestion 12Random Variables / Moments of a Bernoulli variableEasyQuestion 13Statistics / Unbiased estimation for PoissonModerateQuestion 14Descriptive Statistics / Robustness of median vs.\ meanEasyQuestion 15Probability / Bayes' ruleEasyQuestion 16Consumer Theory / Properties of preferencesModerateQuestion 17General Equilibrium / gains from tradeModerateUnder reviewQuestion 18Public Goods / Samuelson conditionModerateUnder reviewQuestion 19Market Structure / Monopoly with discrete buyersModerateQuestion 20Game Theory / symmetric Nash equilibriumModerateQuestion 21Public Goods / Samuelson conditionEasyQuestion 22Microeconomics / Tax incidenceEasyQuestion 23Consumer Theory / Engel aggregationModerateQuestion 24Consumer Theory / Aggregate price elasticity as quantity-weighted averageEasyQuestion 25International Trade / Two-country Cobb--Douglas equilibriumModerateQuestion 26Macroeconomics / Classical monetary equilibrium with full employmentModerateQuestion 27Macroeconomics / Fixed-price (Keynesian) equilibriumModerateQuestion 28Growth Theory / growth rate of per-capita outputModerateQuestion 29Growth Theory / Comparative dynamics across Solow economiesModerateQuestion 30Intertemporal Choice / Log utility and the saving functionModerate