JNU SIS 2016 question paper

All 50 questions from the JNU SIS 2016 JNU MA Economics entrance paper. Open any question for the worked solution.

1. Q1Determine the absolute minimum for the following function and interval: g(x) = 2x³ + 3x² - 12x + 4 on [-4, 2]
2. Q2Identify the inflection points for the following function: f(x) = x(6 - x)^(2/3)
3. Q3How many real roots the following polynomial would have? f(x) = 4x⁵ + x³ + 7x - 2
4. Q4We want to construct a box with a square base and we only have 6 m² of material to use in construction of the box. Assume that all the materials are…
5. Q5Determine the point(s) on y = x² + 1 that is/are closest to (0, 2).
6. Q6Determine the eigenvalues of the following matrix: A = [8 6; 6 8]
7. Q7The following matrix [2 6; 6 18] is
8. Q8In the following expression y² + 4 = x² - 9 dy/dx would be
9. Q9The following limit lim_(x → a) (x² - a²)/(x - a) would result in
10. Q10The marginal cost of producing x units of some commodity is 3x² + x + 1. The fixed cost is 150. The total cost would be
11. Q11Consider the following distribution of incomes in country x and country y: Country x (2, 3, 4) Country y(6, 9, 12) Which one of the following is…
12. Q12A steeply sloped iso-profit curve, with wages on the vertical axis and risk of injury on the horizontal axis, indicates that
13. Q13On a graph of wage rates versus risk of injury, indifference curves are convex because
14. Q14Which of the following is true of the prediction on the investment-to-growth link by Harrod-Domar and Solow models?
15. Q15According to the graph given below, which of the following statements is true? · diagram
16. Q16A Less Developed Country (LDC) has an Incremental Capital Output Ratio (ICOR) of 5 and a savings rate s = 20%. If current GDP is $1000, what will be…
17. Q17Disguised unemployment forms
18. Q18The rate of population growth exhibits tremendous inertia through time because
19. Q19If Lorenz curves cross, we say there is less inequality in the case where
20. Q20The user cost of a unit of capital is measured by
21. Q21Marginal efficiency of investment is
22. Q22With an increase in the net inflow of foreign capital, money supply of the economy
23. Q23The point of intersection of the Phillips curve with the horizontal axis representing the rate of unemployment indicates
24. Q24If Δ G = Δ T and Δ G and Δ T respectively represent change in government expenditure and change in taxes, the value of the multiplier would be equal…
25. Q25Assuming similar exogenous parameters governing the evolution of the economy, unconditional convergence predicts that
26. Q26A situation in which the lender cannot observe inherent characteristics of borrowers (e.g., riskiness), which can lead to inefficiency and credit…
27. Q27In the dual economy model, the phase of disguised unemployment must be associated with
28. Q28If the distribution of income in Joyland is (1, 2, 2, 3, 5) and in Happyland is (1, 1, 2, 3, 5), and the poverty line in both countries is 2· 5, by…
29. Q29Suppose there are 5 workers in an economy and initially all the workers work in the traditional sector at a wage equal to 1 (call this initial…
30. Q30A complete ranking of all feasible allocations that are made possible by the scarce economic resources of an economy is achievable by employing
31. Q31Which of the following conditions of Pareto efficiency is violated by an indirect tax such as the VAT?
32. Q32An externality arises
33. Q33Which of the following addresses redistribution issues to promote the equity objectives of the planner?
34. Q34In the presence of asymmetric and incomplete information about wealth distribution in the economy, which of the following policy instruments should…
35. Q35Then each country can benefit if
36. Q36The production possibilities of two countries, Homeland and Foreign, capable of producing two goods, cloth and wheat, are given as follows: |…
37. Q37In the Heckscher-Ohlin world, international trade in commodities will lead to equalization of relative and absolute factor prices provided there is
38. Q38When a small capital-abundant country (exporting the capital-intensive commodity) imposes an import tariff on the labor-intensive commodity, then
39. Q39An expansion of the service sector of an economy is most likely to affect the current account balance favourably at a given terms of trade via its…
40. Q40Let the demand curve faced by a monopolist be the following: D(p) = { 0 p > 20; [2pt] 100/p p ≤ 20 } where p is price. Its cost function is given by…
41. Q41Let the cost function of a monopolist be given by C(Q) = cQ, where Q is the output. Also let the monopolist face a linear demand function, P(Q) = A…
42. Q42Let the utility function be given by u(x, y) = ln x + y, where x and y are two goods. Let prices of two goods be given as follows: pₓ = 2, p_y = 1…
43. Q43Consider the utility function u(x, y) = min (2x + y, x + 2y). Let pₓ, p_y denote prices of two goods. The utility maximizing choice is x = 0 if
44. Q44In country Z, cigarettes are forbidden, so people trade cigarettes in a black market. The cigarette demand is Q_D = 12 - P and the cigarette supply…
45. Q45The table given below shows bushels of wheat and yards of cloth that the US and India can produce with one unit labor under four different…
46. Q46In the Heckscher-Ohlin model of trade, which of the following is a necessary assumption for trade to follow expected patterns?
47. Q47A and B are two independent events with probability that both occur is 1/8 and neither of them occur is 3/8. If probability of A 's occurrence is…
48. Q48A group of 250 items is divided into two subgroups, first consisting of 100 items and the second 150. The first group has a mean 15 and standard…
49. Q49Let f(x₁, x₂) = 21x₁² x₂³, for 0 < x₁ < x₂ < 1, and 0 elsewhere, be the joint probability density function of X₁ and X₂. The conditional mean and…
50. Q50If the random variable X is uniformly distributed with mean 1 and variance 4/3, then Pr {X < 0} is