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Questions › DSE › DSE 2005

DSE 2005 question paper

All 30 questions from the DSE 2005 Delhi School of Economics MA entrance paper. Open any question for the worked solution.

  1. Q1Consider a competitive exchange economy with two agents (1 and 2) and two goods (X and Y). Agent 1 's endowment of (X,Y) is (100,100) and Agent 2 's…
  2. Q2For the exchange economy with Agent 1 endowment (100,100) maximizing min {x₁,y₁} and Agent 2 endowment (50,0) maximizing x₂+y₂: an example of a…
  3. Q3For the exchange economy with Agent 1 endowment (100,100) maximizing min {x₁,y₁} and Agent 2 endowment (50,0) maximizing x₂+y₂: an example of a pair…
  4. Q4For the exchange economy with Agent 1 endowment (100,100) maximizing min {x₁,y₁} and Agent 2 endowment (50,0) maximizing x₂+y₂: suppose the…
  5. Q5Consider a Society consisting of individuals who may belong to sets called Clubs and/or Tribes, with the rules: the entire Society is a Club; the…
  6. Q6For the Society in which Clubs are closed under arbitrary union and finite intersection (with the whole Society and empty set as Clubs) and a Tribe…
  7. Q7For the Society in which Clubs are closed under arbitrary union and finite intersection and a Tribe is the complement of a Club: which of the…
  8. Q8For the Society in which Clubs are closed under arbitrary union and finite intersection and a Tribe is the complement of a Club: suppose we are…
  9. Q9Consider a Cournot duopoly with inverse market demand p=a-b(q₁+q₂), where a>4 and b>0 are constants, p is the market price and qᵢ is firm i 's…
  10. Q10For the Cournot duopoly with p=a-b(q₁+q₂), C₁(q₁)=q₁ and C₂(q₂)=2q₂: if the market expands, as measured by an increase in the parameter a, then
  11. Q11For the Cournot duopoly with p=a-b(q₁+q₂), C₁(q₁)=q₁ and C₂(q₂)=2q₂: suppose, instead of choosing outputs simultaneously, Firm 1 chooses q₁ first…
  12. Q12For the setting with p=a-b(q₁+q₂), C₁(q₁)=q₁ and C₂(q₂)=2q₂: suppose Firm 1 takes over Firm 2 to become a monopolist. The new firm will
  13. Q13A number of mathematicians in the middle of the 20th century contributed to a series of books published in the name of a fictitious mathematician…
  14. Q14Consider Robinson Crusoe who has to allocate 24 hours between lying on the beach and climbing trees to gather coconuts. If L is the time spent lying…
  15. Q15Consider Ms. Bijlee whose utility function is min {E,W}, where E is her electricity consumption and W is her consumption of widgets. Suppose Ms.…
  16. Q16Suppose four fair coins are tossed simultaneously. Suppose E is the event 'the number of Heads strictly exceeds the number of Tails' and F is the…
  17. Q17Suppose two dice are tossed simultaneously. What is the probability that the total number of spots on the upper faces of the two dice is not…
  18. Q18A blood test to detect the presence of a certain disease successfully detects the disease in 99 out of every 100 patients who actually have the…
  19. Q19Suppose X and Y are independent random variables with standard Normal distributions. The probability of X<-1 is some p∈(0,1). What is the…
  20. Q20There are three identical boxes, each with two drawers. Box A contains a gold coin in each drawer. Box B contains a silver coin in each drawer. Box…
  21. Q21Provided c≠ 0, the expression (Σᵢ₌₁ⁿ(c-xᵢ)-Σᵢ₌₁ⁿ(cyᵢ-xᵢ))/c is identical to
  22. Q22If X, Y and Z are uncorrelated statistical variables with standard deviations 5, 12 and 9 respectively, and U=X+Y and V=Y+Z, then the correlation…
  23. Q23A random variable has outcomes Success and Failure with probabilities 3/4 and 1/4 respectively. A gambler observes the sequence of outcomes of this…
  24. Q24The LM curve will shift to the
  25. Q25An increase in the price level will
  26. Q26The Life-Cycle-Permanent-Income hypothesis says that the marginal propensity to consume out of a permanent increase in income is close to and close…
  27. Q27Keynes argued that monetary policy was ineffective during the Great Depression because
  28. Q28In the Baumol-Tobin model of money demand, the income elasticity of money demand is and the interest elasticity is.
  29. Q29The money multiplier is in the reserve-deposit ratio and in the cash-deposit ratio.
  30. Q30The desired stock of capital is in the marginal product of capital and in the expected future price of capital.