JNU SIS 2020 question paper

All 49 questions from the JNU SIS 2020 JNU MA Economics entrance paper. Open any question for the worked solution.

1. Q1Suppose the demand for burgers is given by Q_d = 286 - 20p and the supply is Qₛ = 88+40p. If the government imposes a per unit tax of 1.05, what is…
2. Q3Suppose that a monopolist faces two markets with the demand curves given by D₁(p₁) = 100 - p₁; D₂(p₂) = 100 - 2p₂. Let the marginal cost be constant…
3. Q4On labour market equilibrium, Keynes made the following assumptions:
4. Q5For what values of k does this system have infinite solutions: x + 2z = 0 x + 3y + 10z = 0 6y + k² z = 0
5. Q6Compared to the free trade equilibrium, when an import tariff is imposed on good X in a small country, then which of the following increase: A.…
6. Q7Does the sequence Σₙ₌₀^∞ n⁷/6ⁿ converge or diverge?
7. Q8A variable X has a uniform distribution on [0, 1] and variable Y is defined as 2X + 5. Then the probability density function of Y is:
8. Q9Suppose demand for labour is given by L = - 50w + 450 and supply is L = 100w, where L is the number of labour and w is the wage rate per hour.…
9. Q10Informal lender extends credit to the poor more than formal lenders because:
10. Q11Which of the following functions have inverses on (-∞, ∞)? A. y = 5x - 2 B. y = 1 - x² C. y = x³ - 2
11. Q12Suppose that 10 people live in a street and that each of them is willing to pay 2 for an extra streetlight. Let the cost of providing x streetlights…
12. Q13Which of the following will cause total revenue earned by cell phone producers to rise?
13. Q14Which of the following statements related to the concept of disguised unemployment is false?
14. Q15For the demand function given by q = 30/p², where q is quantity and p is the price. Find the consumer surplus at p = 2.
15. Q16Consider a simple Keynesian model where equilibrium output is determined by aggregate demand. Assume investment to be autonomously determined and a…
16. Q17The probability density function of a random variable X is given by f(x) = α(1 - x)^(α - 1) where x is in the range [0, 1] and α > 0. Then the…
17. Q18If two countries have identical concave production possibilities curve then:
18. Q19The conjecture that inequality first increases with development, then decreases with further development, has been:
19. Q20The table below provides the total production possible in the two countries given their total endowment of labour. | Country | Yards of Cloth | Tons…
20. Q21In the standard IS-LM model, we replace the assumption of exogenous money supply with an endogenous money supply as an increasing function of…
21. Q22The table below gives the marginal product of labour in production of the two commodities in the two countries. There are no other resources used…
22. Q23According to the Ranis-Fei-Lewis model, in order for the turning point to be reached:
23. Q24lim _(n→∞) (ln (1+x))/x is equal to:
24. Q25An unbiased coin is tossed 400 times, then the probability that the number of heads will be between 150 and 250 is at least:
25. Q26A population consists of the number of defective mobiles in various shipments coming to India. The number of defectives is 2 in the first shipment…
26. Q27Solve: min y = x₁ + x₂ subject to 1 - √(x₁) - x₂ = 0
27. Q28Solve for x given 2e^(6x) = 18
28. Q29Suppose the government imposes a profit tax on a monopoly so that the after-tax profit becomes (1 - α)π, where p is the before tax profit. After the…
29. Q30Find the probability of a ‘4’ turning up at least once in two tosses of a fair dice (with six faces marked 1 to 6).
30. Q31The probability density function of a random variable is given as f(x) = (λ^x e^(-λ))/x! where x = 0, 1, 2,.... then the expected value of x² is:
31. Q32There are 200 kgs of food that must be allocated between two sailors marooned at an island. The utility functions of the two sailors are given by u₁…
32. Q33Consider a model where the R-squared is zero. Which of the following statements is true? A. The estimated slope coefficients will be zero. B. The…
33. Q34What conditions need to hold before you can apply Mean Value Theorem to a function f?
34. Q35According to the big push theory of economic development, low income traps exist due to:
35. Q36A strictly risk averse individual is offered a choice between a gamble that pays 1000 with a probability of 25% and 100 with a probability of 75%…
36. Q37Can you apply the Mean Value Theorem to f(x) = x^(1/3) on the interval [- 1, 1]? Why?
37. Q38Which of the following constitute the “impossible trinity”? A. Fixed exchange rate B. No budget deficit C. Free international capital mobility D.…
38. Q39A newspaper conducted a survey of its readers and asked everyone to fill out a survey form and send it in. Almost 50% of readers responded. This…
39. Q40In the above model, the equilibrium level of income is:
40. Q41In the above model, at the equilibrium level of income, there is:
41. Q42In the above model, the government decides to maintain trade balance by adjusting the tax rate (t) and thereby affecting domestic absorption…
42. Q43f(x) = x⁴ - 4x³ + 4x² + 4 Find a local minimum and a local maximum of the function f(x).
43. Q44Similar to import tariff, import quota tends to result in:
44. Q45Past data of a doctor’s clinic tells that 10% of patients entering have liver diseases and 5% are alcoholics. According to medical reports among…
45. Q46Which of the following statements is false?
46. Q47A firm in a perfectly competitive industry has marginal cost MC = 0.4q where q is quantity. The market price is 20 per unit. The production process…
47. Q48What is dy/dx when y = (e^(2x)+1)/(e^(2x)-1)
48. Q49In the complete Keynesian macro model, at the liquidity trap region, the aggregate demand curve will be:
49. Q50Consider a random variable X where P(X = k) = (20! 0.25^k (0.75)^(20-k))/(k! (20-k)!) For k = 0, 1, 2,..., 20 What is the mean of X?