JNU SIS 2013 question paper

All 25 questions from the JNU SIS 2013 JNU MA Economics entrance paper. Open any question for the worked solution.

1. Q1Kiran's utility function is U(x₁; x₂) = 2ln (x₁) + x₂. Given her current income and the current relative prices, she consumes 10 units of x₁ and 15…
2. Q2Manik's utility function on goods x and y is U(x; y) = √x + √y. Prices of x and y are given as pₓ = 5 and p_y = 1. Assume that Manik's income is…
3. Q3A car manufacturing company wants to decide where to locate a new plant. The only inputs used in cars are steel and labour, and the production…
4. Q4What is the profit maximizing choice of output?
5. Q5If the government could set a price ceiling on the above monopolist (in Question No. 4) in order to force it to act as a competitor, what price…
6. Q6The rank of the matrix C = A′B′, where A = [3 1 2; 1 1 0; 2 1 3] and B = [0 1 0; 4 2 3] is
7. Q7If the matrix [-4 2 0; -6 a 1; 0 1 1] is singular, the value of a must be
8. Q8lim_(x → 0)((e^x - 1)/x) is equal to
9. Q9Let f(x) = { x + 4, x < 0; x², 0 ≤ x < 5; 7, x ≥ 5 } The area from x = -6 to x = 8 under the graph f(x) is
10. Q10If flour is an inferior good; then
11. Q11Consider five urns numbered 1 to 5, where each urn contains 10 balls. Urn 1 has i defective balls and (10 - i) nondefective balls. In an experiment…
12. Q12The probability density function of a continuous random variable is given as f(x) = { x, 0 ≤ x < 1; 2 - x, 1 ≤ x < 2 } Then the probability of p(1/3…
13. Q13A card is selected at random from an ordinary deck of cards. If an ace is drawn, you win Rs 100; if a king is drawn, you win Rs 75; if a queen is…
14. Q14The probability mass function of a discrete random variable is given as f(x) = 1/5 for x = 1, 2, 3, 4, 5 and zero elsewhere. The mean and variance…
15. Q15A worker's utility is increasing in wages received and decreasing in the effort exerted. What is the shape of the indifference curve in the…
16. Q16When there is a Keynesian aggregate supply curve, an increase in aggregate demand results in proportional increase in
17. Q17An increase in aggregate demand results in an increase in output
18. Q18In the flexible version of quantity theory of money
19. Q19Suppose full employment level of output is Rs 680, the equilibrium level of output is Rs 600 and the marginal propensity to consume is 0· 80. Full…
20. Q20The fixed labour requirements per unit of wine and clothing production before trade for England and Portugal are given below: | Wine | Clothing |…
21. Q21If the home marginal propensity to consume exportable is greater than the elasticity of the foreigner's offer curve, then in the absence of inferior…
22. Q22"The average income of the people in province A is greater than the average income of the people in province B. Some people migrate from province A…
23. Q23"All those who have a good voice are good singers." This statement logically implies
24. Q24There are two countries A and B with their currencies denoted as 'A$' and 'B$' respectively. Their nominal exchange rates in terms of US Dollars…
25. Q25The equation for the IS curve is given as Y = (c₀ + b₀ + G̅)/(1 - c₁(1-t)) - b₁/(1 - c₁(1-t)) i and that for the LM curve is given as i = 1/m₂(m₀…