DUET Mphil Phd in Economics Question Paper with Answer Keys 2019-20
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DUET Mphil Phd in Economics Question Paper with Answer Keys 2019-20
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EXAMPLE QUESTIONS
Q1. Suppose a real valued function f is defined for all real numbers except 0, and satisfies the following condition: f(xy) = f(x) + f(y) for all x, y in the domain. Consider the statements:
f(1) = f(–1) = 0 (i)
f(x) = f(–x) for every x (ii)
- 1. (i) is true and (ii) is false.
- 2. (i) is false and (ii) is true.
- 3. Both are true.
- 4. Both are false
Q2. Suppose Frank can either hunt for birds (b) or forage for wild berries (w) on his isolated island property. He can catch two birds or gather three pounds of berries in an hour. He only has 12 hours a week to devote to these activities. His utility function for birds and berries is u(w,b) = bw^{0.5}. What is the slope of his production possibilities frontier?
- 1. 2/3
- 2. 3/2
- 3. 2/3
- 4. 3/2
Q3. Suppose the net cost of undertaking a venture is rupees 1800 if beta ≤ 1 and the net profit is rupees Q if beta is greater than 1. Your posterior distribution of beta is normal with mean 2.28 and variance unity. Any value of Q bigger than what number entices you to take this venture? Note that the critical values (z) corresponding to the following tail areas (alpha) under a standard normal are: alpha=0.10 then z=1.28; alpha=0.05 then z=1.645; alpha=0.025 then z=1.96; alpha=0.01 then z=2.33
- 1. 450
- 2. 300
- 3. 200
- 4. 100
Q4. Suppose you have a random sample of 100 observations on a variable x which is distributed normally with mean 14 and variance 8. The sample average, xbar, is 15 and the sample variance is 7. Then the mean and variance of the sampling distribution of xbar is
- 1. 14 and 0.08, respectively
- 2. 14 and 8, respectively
- 3. 15 and 7, respectively
- 4. 15 and 0.07, respectively
Q5. Strategy A has an expected value of 10 and a standard deviation of 3. Strategy B has an expected value of 10 and a standard deviation of 5. Strategy C has an expected value of 15 and a standard deviation of 10. Which one of the following statements is true?
- 1. A risk neutral decision maker will always prefer C to A or B.
- 2. A risk seeking decision maker will always prefer C to A or B.
- 3. A risk averse decision maker will always prefer A to B, but may prefer C to A.
- 4. All of these
Q6. An n – gon is a regular polygon with n equal sides. Find the number of diagonals (edges of an n – gon are not considered as diagonals) of a 10 – gon.
- 1. 45 diagonals
- 2. 25 diagonals
- 3. 20 diagonals
- 4. 35 diagonals
Q7. The Nintari Company produces video game playing machines and a second firm, Necsega, owns exclusive rights to manufacture games that can be used with the Nintari game machine. Both of these imperfectly competitive firms are maximizing profits. If Nintari buys Necsega and nothing else changes, then profits will be maximized if Nintari
- 1. does not change the prices of game machines or games.
- 2. decreases the prices of game machines and games.
- 3. increases the prices of game machines and games.
- 4. All of these
Q8. Consider an otherwise Solovian economy with one exception: the production function does not exhibit decreasing marginal returns with respect to capital. In this case, which of the following statement is NOT true?
- 1. The economy would grow perpetually over time and the capital labour ratio will not converge to a unique steady state.
- 2. Per capita consumption would remain constant over time.
- 3. An increase in the rate of saving could lead to a permanent increase in the rate of growth of per capita income.
- 4. An increase in the rate of growth of population could lead to a permanent decrease in the rate of growth of per capita income.
Q9. Consider the function f mapping points of the plane into the plane defined by f(x, y) = (x – y, x + y). The range of this function is
- 1. the 45 degree line.
- 2. a ray through the origin but not the 45 degree line.
- 3. the entire plane.
- 4. the first and third quadrants.
Q10. Consider a firm using two inputs to produce its output. It is known that greater use of both inputs increases output. Moreover, for any combination of positive input prices, the firm employs an input combination of the form (x, y=αx) where α > 0 is a constant. Which of the following functions represents this firm’s technology?
- 1. f(x, y) = min{x^{<α>,} y}
- 2. f(x, y) = min{αx, y}
- 3. f(x, y) = min{x, y^{<α>,}}
- 4. f(x, y) = min{x, αy}
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