JNU SIS 2017 question paper

All 50 questions from the JNU SIS 2017 JNU MA Economics entrance paper. Open any question for the worked solution.

1. Q1Calculate V(CX) [ V represents variance; C is a constant; X is a variable].
2. Q2If X ~ Binomial (5, p) such that Pr (X = 1) = 0· 4096 and Pr (X = 2) = 0· 2048, then the value of p is
3. Q3A cake of weight 1 kg is to be shared between two consumers X and Y. A consumption vector is denoted by (x, y), where x is the consumption in kg by…
4. Q4Consider an industry with Cournot competition. The industry demand curve is P = 200 - Q, where P is the price of the product and Q is industry…
5. Q5If the matrix [1 2 1; 2 0 α; 1 α 1] is singular, then the value of α must be
6. Q6When a country allows for trade and becomes an exporter of the good, which of the following would not be true?
7. Q7Which of the following statements is true?
8. Q8In Question No. 7, U is homogeneous to what degree?
9. Q9A country experiences a sudden inflow of unemployed immigrants. The immediate effect is to
10. Q10World Bank Data show that in 1995, the poorest 20% of households accounted for 7· 5 % of household income in Niger, the next 20% of households…
11. Q11The probability density function of x is given as f(x) = ae^(-x/5) for x > 0. The value of a is
12. Q12If X and Y are two random variables, then which of the following is true?
13. Q13A perfectly competitive firm produces 100 units of output. It faces a total fixed cost of ₹ 5,000. The average variable cost (AVC) of production at…
14. Q14Lalaland is part of a currency union, all of whose members have committed to a common currency. Capital moves freely across borders. In this situation
15. Q15If the home country engages in free trade, then it will
16. Q16In Question No. 15, if the home country imposes an import tariff of 1 unit, then the government tariff revenue will be
17. Q17In Question No. 15, the deadweight loss due to the above tariff imposition would be
18. Q18Expectation is called the first moment.
19. Q19The deadweight loss due to a unit tax is measured as
20. Q20Which of the following is true of a two-person game with a finite number of strategies?
21. Q21Suppose a consumer's utility is a function of two goods x and y, and is given by the function U(x, y) = xy. The consumer's Engel curve is
22. Q22The solution to the minimization problem min y = x₁ + x₂ subject to the constraint 1 - √(x₁) - x₂ = 0 is
23. Q23lim_(x → 1) {(x² + 4)/(x² - 4)} is
24. Q24Consider an Amusement Park. The Park owner has a fixed cost T and a marginal cost of 0· 50 per ride. Consumers have a demand curve Q = 10 - 2P. The…
25. Q25Suppose there are two firms that face a linear demand curve p(Y) = a - bY and have constant marginal costs c for each firm. The Cournot equilibrium…
26. Q26Let the demand function faced by a monopolist be q = kp⁻², where q is quantity, p is price and k is a positive constant. The marginal cost of…
27. Q27Consider the following table: | Y \ X | 0 | 1 | 2 | Σ | 0 | 1/6 | 1/3 | 1/12 | 7/12 | 1 | 2/9 | 1/6 | 0 | 7/18 | 2 | 1/36 | 0 | 0 | 1/36 | Σ | 5/12…
28. Q28If A, B, C are mutually exclusive and exhaustive events associated with a random experiment, and if Pr (B) = 3/2Pr (A) and Pr (C) = 1/2Pr (B), then…
29. Q29If the marginal propensity to save is equal to 0· 4 in the simple Keynesian model, then a 10-unit increase in taxes will cause output to fall by
30. Q30If the distribution of income in country X is (1, 2, 2, 3, 5), and in country Y is (1, 1, 2, 3, 5), and the poverty line in both the countries is…
31. Q31The opportunity cost of holding money
32. Q32If the probability density function of X is f(x) = (1 + α x)/2; -1 ≤ x ≤ 1, -1 ≤ α ≤ 1, then the expectation of X is
33. Q33One study found that the Gini coefficient for Egypt was 0· 403 and that for Australia was 0· 404. From this information, we can conclude that Egypt…
34. Q34In country X, cigarettes are forbidden, so people trade cigarettes in a black market. The cigarette demand is Q_D = 12 - P and the cigarette supply…
35. Q35Let f(x) = x³ - 3x² + 3. On what interval is the function decreasing?
36. Q36Alex consumes only two goods, X and Y, and has a utility function U(X, Y) = XY. Now suppose the price of X changes while the price of Y and Alex's…
37. Q37If a country allows trade and the domestic price of a good is higher than the world price, then
38. Q38If P(A) = 0· 6, P(B) = 0· 3, P(A / B) = 0· 5, then what is P(AB)?
39. Q39Which one of the following would indicate a profitable capital investment?
40. Q40The mean of a Poisson distribution with parameter λ and that of an exponential distribution with parameter λ are equal
41. Q41Let 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 pₓ = 2 and p_y = 1.…
42. Q42The table below gives the maximum amount of rice or cloth that countries A and B could produce if they fully utilize all the factors of production…
43. Q43In Question No. 42, the free trade relative price of rice could be
44. Q44For the Poisson distribution
45. Q45In an Edgeworth box, the contract curve is a locus of points where
46. Q46Two events, A and B, are said to be mutually exclusive, if
47. Q47Which of the following statements is true?
48. Q48A monopolist faces a demand curve given by D(q) = 100 - 2p. Its cost is c(y) = 2y. What is its optimal level of output q* and price p*?
49. Q49Find x and y so that the following ordered data set has a mean of 42 and a median of 35: 17, 22, 26, 29, 34, x, 42, 67, 70, y
50. Q50A Keynesian liquidity trap will